diff --git a/.gitignore b/.gitignore index 292503b26..4f0d9f267 100644 --- a/.gitignore +++ b/.gitignore @@ -15,4 +15,4 @@ __pycache__ xtrack/prebuilt_kernels !xtrack/prebuilt_kernels/*.py checkpoint_restart.dat - +.idea diff --git a/examples/aperture_model/000_lhc_mqfa.py b/examples/aperture_model/000_lhc_mqfa.py new file mode 100644 index 000000000..c0178ac53 --- /dev/null +++ b/examples/aperture_model/000_lhc_mqfa.py @@ -0,0 +1,93 @@ +import matplotlib.pyplot as plt +import xobjects as xo +import xtrack as xt + +from xtrack.aperture import Aperture + +context = xo.ContextCpu(omp_num_threads='auto') + +lhc_with_metadata = xt.load('./lhc_aperture.json') +b1 = lhc_with_metadata['b1'] +lhc_length = b1.get_length() + +aperture_model = Aperture.from_line_with_madx_metadata(b1, num_profile_points=100, context=context) + +mqxfa_name = 'mqy.4r1.b1' + +# Calculate n1 with the ``rays`` method +n1_rays, tw_rays = aperture_model.get_aperture_sigmas_at_element( + element_name=mqxfa_name, + resolution=0.1, + method='rays', + output_cross_sections=True, +) +sig_rays = n1_rays.n1 +aper_rays = n1_rays.cross_section + +sig_hvd_rays, _, _ = aperture_model.get_hvd_aperture_sigmas_at_element( + element_name=mqxfa_name, + resolution=0.1, +) + +# Calculate n1's with the ``bisection`` method +n1_bisect, tw_bisect = aperture_model.get_aperture_sigmas_at_element( + element_name=mqxfa_name, + resolution=0.1, + method='bisection', + output_cross_sections=True, + output_max_envelopes=True, +) +sig_bisect = n1_bisect.n1 +aper_bisect = n1_bisect.cross_section +max_envelope = n1_bisect.envelope + +# Get envelope at arbitrary sigma +envelopes, tw_envel = aperture_model.get_envelope_at_element( + element_name=mqxfa_name, + resolution=0.1, + sigmas=1, +) + +aper_table = aperture_model.cross_sections_at_element( + element_name=mqxfa_name, + resolution=0.1, +) +aper_envel = aper_table.cross_section + +# PLOT envelope sigmas +plt.plot(tw_rays.s, sig_hvd_rays[:, 0], label=r'horizonal envelope [$\sigma$] (rays)') +plt.plot(tw_rays.s, sig_hvd_rays[:, 1], label=r'vertical envelope [$\sigma$] (rays)') +plt.plot(tw_rays.s, sig_hvd_rays[:, 2], label=r'diagonal envelope [$\sigma$] (rays)') +plt.plot(tw_rays.s, sig_rays, label=r'min envelope [$\sigma$] (rays)', linestyle=':') + +plt.plot(tw_bisect.s, sig_bisect, label=r'max envelope [$\sigma$] (bisection)', linestyle='--') + +plt.legend() +plt.show() + +plt.scatter(tw_rays.x, tw_rays.y) + +# PLOT max sigma beam in aperture +for pt in aper_rays: + plt.plot(pt[:, 0], pt[:, 1], c='k') + +for pt in aper_bisect: + plt.plot(pt[:, 0], pt[:, 1], c='gray', linestyle='--') + +for pt in max_envelope: + plt.plot(pt[:, 0], pt[:, 1]) + +plt.gca().set_aspect('equal') +plt.legend() +plt.show() + +# PLOT arbitrary sigma beam in aperture +for pt in aper_envel: + plt.plot(pt[:, 0], pt[:, 1], c='k') + +for pt in envelopes: + plt.plot(pt[:, 0], pt[:, 1]) + +plt.gca().set_aspect('equal') +plt.legend() +plt.show() diff --git a/examples/aperture_model/000_lhc_whole.py b/examples/aperture_model/000_lhc_whole.py new file mode 100644 index 000000000..9481cd07e --- /dev/null +++ b/examples/aperture_model/000_lhc_whole.py @@ -0,0 +1,97 @@ +import matplotlib.pyplot as plt +import numpy as np + +import xobjects as xo +import xtrack as xt + +from xtrack.aperture import Aperture + +context = xo.ContextCpu(omp_num_threads='auto') + +lhc_with_metadata = xt.load('./benchmark1/lhc_aperture.json') +b1 = lhc_with_metadata['b1'] +lhc_length = b1.get_length() + +aperture_model = Aperture.from_line_with_madx_metadata(b1, num_profile_points=100, context=context) + +end_s = lhc_length / 8 +s_positions = np.linspace(0, end_s, int(end_s)) + +# Calculate n1 with the ``rays`` method +n1_rays, tw_rays = aperture_model.get_aperture_sigmas_at_s( + s_positions=np.linspace(0, lhc_length, int(lhc_length)), + method='rays', + output_cross_sections=True, +) +sig_rays = n1_rays.n1 +aper_rays = n1_rays.cross_section + +# Calculate extents +envel, tw_envel = aperture_model.get_envelope_at_s( + s_positions=np.linspace(0, lhc_length, int(lhc_length)), + sigmas=5, + envelopes_num_points=12, + include_aper_tols=False, +) + +cs_s = np.linspace(0, lhc_length, int(lhc_length)) +cs_table = aperture_model.cross_sections_at_s(s_positions=cs_s) +cs = cs_table.cross_section + +# Calculate n1's with the ``bisection`` method +# sig_bisect, tw_bisect, aper_bisect, max_envelope = aperture_model.get_aperture_sigmas_at_s( +# s_positions=np.linspace(0, lhc_length, int(lhc_length)), +# method='bisection', +# ) + +# PLOT envelope sigmas +# plt.plot(tw_rays.s, sig_rays, label=r'min envelope [$\sigma$] (rays)') + +# plt.plot(tw_bisect.s, sig_bisect, label=r'max envelope [$\sigma$] (bisection)', linestyle='--') + +# plt.plot(tw_rays.s, np.max(aper_rays[:, :, 0], axis=1), label=r'+ horizontal extent [mm]') +# plt.plot(tw_rays.s, np.min(aper_rays[:, :, 0], axis=1), label=r'- horizontal extent [mm]') +# plt.plot(tw_rays.s, np.max(aper_rays[:, :, 1], axis=1), label=r'+ vertical extent [mm]') +# plt.plot(tw_rays.s, np.min(aper_rays[:, :, 1], axis=1), label=r'- vertical extent [mm]') + +# plt.legend() +# plt.show() +# +# plt.scatter(tw_rays.x, tw_rays.y) + + +fig, (ax, ay) = plt.subplots(2, sharex=True) +fig.suptitle(r'Interpolated apertures and beam at 3$\sigma$') + +min_envel_x = np.min(envel[:, :, 0], axis=1) * 1000 +max_envel_x = np.max(envel[:, :, 0], axis=1) * 1000 +min_aper_x = np.min(cs[:, :, 0], axis=1) * 1000 +max_aper_x = np.max(cs[:, :, 0], axis=1) * 1000 + +ax.fill_between(tw_envel.s, min_envel_x, max_envel_x, color='b', alpha=0.3) +ax.plot(cs_s, min_aper_x, color='k', marker='.') +ax.plot(cs_s, max_aper_x, color='k', marker='.') +ax.set_ylabel(r'horizontal aperture [mm]') +ax.set_ylim([-100, 100]) + +# ax_sig = ax.twinx() +# ax_sig.plot(tw_rays.s, sig_rays[:, 0], label=r'horizonal envelope [$\sigma$] (rays)', color='pink') +# ax_sig.set_ylabel(r'horizontal n1 [$sigma$]') + +min_envel_y = np.min(envel[:, :, 1], axis=1) * 1000 +max_envel_y = np.max(envel[:, :, 1], axis=1) * 1000 +min_aper_y = np.min(cs[:, :, 1], axis=1) * 1000 +max_aper_y = np.max(cs[:, :, 1], axis=1) * 1000 +ay.set_ylabel(r'vertical aperture [mm]') +ay.set_ylim([-100, 100]) + +ay.fill_between(tw_envel.s, min_envel_y, max_envel_y, color='r', alpha=0.3) +ay.plot(cs_s, min_aper_y, color='k', marker='.') +ay.plot(cs_s, max_aper_y, color='k', marker='.') + +# ay_sig = ay.twinx() +# ay_sig.plot(tw_rays.s, sig_rays[:, 1], label=r'vertical envelope [$\sigma$] (rays)', color='violet') +# ay_sig.set_ylabel(r'horizontal n1 [$sigma$]') + +ay.set_xlabel(r's [m]') +plt.show() diff --git a/examples/aperture_model/001_transform_and_interpolate.py b/examples/aperture_model/001_transform_and_interpolate.py new file mode 100644 index 000000000..516600f71 --- /dev/null +++ b/examples/aperture_model/001_transform_and_interpolate.py @@ -0,0 +1,156 @@ +import xtrack as xt +import xobjects as xo +import numpy as np +import matplotlib.pyplot as plt +from xtrack.aperture.aperture import Aperture +from xtrack.aperture.transform import transform_matrix +from xtrack.aperture.structures import ApertureModel, Pipe, Circle, Profile, ProfilePosition, Rectangle, PipePosition + + +env = xt.Environment() + +l = 1 +dx = 1 +angle = np.deg2rad(30) +l_straight = dx / np.sin(angle / 2) +rho = 0.5 * l_straight / np.sin(angle / 2) +l_curv = rho * angle + +drift = env.new('drift', xt.Drift, length=l) +rot_plus = env.new('rot_plus', xt.Bend, length=l_curv, angle=angle, k0=0) +rot_minus = env.new('rot_minus', xt.Bend, length=l_curv, angle=-angle, k0=0) + +line = env.new_line( + name='line', + components=[drift, rot_plus, drift, drift, rot_minus, drift], +) + +sv = line.survey() + +circle = Circle(radius=2) +rectangle = Rectangle(half_width=2, half_height=1) + +profiles = [ + Profile(shape=circle, tol_r=0, tol_x=0, tol_y=0), + Profile(shape=rectangle, tol_r=0, tol_x=0, tol_y=0), +] + +pipes = [ + Pipe(curvature=0., positions=[ + ProfilePosition(profile_index=1, shift_s=0, rot_s_rad=np.deg2rad(15)), + ProfilePosition(profile_index=1, shift_s=5.5, rot_s_rad=np.deg2rad(90)), + ProfilePosition(profile_index=0, shift_s=11, rot_x_rad=np.deg2rad(10)), + ]), +] + +pipe_positions = [ + PipePosition( + pipe_index=0, + survey_reference_name='drift::0', + survey_index=sv.name.tolist().index('drift::0'), + transformation=transform_matrix(shift_x=-1.5), + ), +] + +model = ApertureModel( + line_name='line', + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['circle', 'rectangle'], +) + +line_sliced = line.copy() +line_sliced.cut_at_s(np.linspace(0, line_sliced.get_length(), 100)) +sv_sliced = line_sliced.survey() +ax = plt.figure().add_subplot(projection='3d') +ax.plot(sv_sliced.Z, sv_sliced.X, sv_sliced.Y, c='b') +ax.set_xlabel('Z [m]') +ax.set_ylabel('X [m]') +ax.set_zlabel('Y [m]') + +ax.auto_scale_xyz([0, 12], [-6, 6], [-6, 6]) + +aper = Aperture(line, model) + + +def matrix_from_survey_point(sv_row): + matrix = np.identity(4) + matrix[:3, 0] = sv_row.ex + matrix[:3, 1] = sv_row.ey + matrix[:3, 2] = sv_row.ez + matrix[:3, 3] = np.hstack([sv_row.X, sv_row.Y, sv_row.Z]) + return matrix + + +def poly2d_to_hom(poly2d): + num_points = poly2d.shape[0] + poly_hom = np.column_stack((poly2d, np.zeros(num_points), np.ones(num_points))).T + return poly_hom + + +for type_pos in aper._model.pipe_positions: + aper_type = aper._model.type_for_position(type_pos) + sv_ref = sv.rows[type_pos.survey_index] + + sv_ref_matrix = matrix_from_survey_point(sv_ref) + type_matrix = type_pos.transformation.to_nparray() + + for profile_pos in aper_type.positions: + profile = aper._model.profile_for_position(profile_pos) + + num_points = 100 + poly = aper.polygon_for_profile(profile, num_points) + poly_hom = poly2d_to_hom(poly) + + profile_position_matrix = transform_matrix( + dx=profile_pos.shift_x, + dy=profile_pos.shift_y, + ds=profile_pos.shift_s, + theta=profile_pos.rot_y_rad, + phi=profile_pos.rot_x_rad, + psi=profile_pos.rot_s_rad, + ) + + poly_in_sv_frame = sv_ref_matrix @ type_matrix @ profile_position_matrix @ poly_hom + + xs, ys, zs = poly_in_sv_frame[:3] + ax.plot(zs, xs, ys, c='r') + + +def poses_at_s(line, s_positions): + """Return a local coordinate system (each represented by a homogeneous matrix) at all ``s_positions``.""" + poses = np.zeros(shape=(len(s_positions), 4, 4), dtype=np.float32) + line_sliced = line.copy() + line_sliced.cut_at_s(s_positions) + survey_sliced = line_sliced.survey() + sv_indices = np.searchsorted(survey_sliced.s, s_positions) + + for idx, sv_idx in enumerate(sv_indices): + row = survey_sliced.rows[sv_idx] + poses[idx, :3, 0] = row.ex + poses[idx, :3, 1] = row.ey + poses[idx, :3, 2] = row.ez + poses[idx, :, 3] = np.hstack([row.X, row.Y, row.Z, 1]) + + return poses + + +s_for_cuts = np.linspace(1, 11, 20) +cs_table = aper.cross_sections_at_s(s_for_cuts) +profiles, poses = cs_table.cross_section, cs_table.pose + +expected_poses = poses_at_s(line, s_for_cuts) +xo.assert_allclose(poses, expected_poses, atol=1e-6, rtol=1e-6) + +for idx, s in enumerate(s_for_cuts): + profile = profiles[idx] + profile_hom = poly2d_to_hom(profile) + profile_in_sv_frame = poses[idx] @ profile_hom + + xs, ys, zs = profile_in_sv_frame[:3] + ax.plot(zs, xs, ys, c='g') + +plt.show() diff --git a/examples/aperture_model/002_transform_and_interpolate_cone.py b/examples/aperture_model/002_transform_and_interpolate_cone.py new file mode 100644 index 000000000..84164e44c --- /dev/null +++ b/examples/aperture_model/002_transform_and_interpolate_cone.py @@ -0,0 +1,149 @@ +import matplotlib.pyplot as plt +import numpy as np +import xobjects as xo +import xtrack as xt + +from xtrack.aperture.aperture import Aperture +from xtrack.aperture.transform import transform_matrix +from xtrack.aperture.structures import ( + ApertureModel, + Pipe, + Circle, + Profile, + ProfilePosition, + PipePosition, +) + + +def matrix_from_survey_row(sv_row): + out = np.identity(4) + out[:3, 0] = sv_row.ex + out[:3, 1] = sv_row.ey + out[:3, 2] = sv_row.ez + out[:3, 3] = np.array([sv_row.X[0], sv_row.Y[0], sv_row.Z[0]]) + return out + + +def poly2d_to_hom(poly2d): + n = poly2d.shape[0] + return np.column_stack([poly2d, np.zeros(n), np.ones(n)]).T + + +env = xt.Environment() +l = 1.0 +angle = np.deg2rad(30.0) +l_straight = 1.0 / np.sin(angle / 2) +rho = 0.5 * l_straight / np.sin(angle / 2) +l_curv = rho * angle + +drift = env.new("drift", xt.Drift, length=l) +bend_plus = env.new("bend_plus", xt.Bend, length=l_curv, angle=angle, k0=0) +bend_minus = env.new("bend_minus", xt.Bend, length=l_curv, angle=-angle, k0=0) + +line = env.new_line( + name="line", + components=[drift, bend_plus, drift, drift, bend_minus, drift], +) +sv = line.survey() + +s0, s1 = 0.0, 11.0 +r0, r1 = 0.8, 2.0 + +profiles = [ + Profile(shape=Circle(radius=r0), tol_r=0, tol_x=0, tol_y=0), + Profile(shape=Circle(radius=r1), tol_r=0, tol_x=0, tol_y=0), +] +profile_positions = [ + ProfilePosition(profile_index=0, shift_s=s0), + ProfilePosition(profile_index=1, shift_s=s1), +] + +model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(shift_x=-1.5), + ), + ], + pipes=[Pipe(curvature=0.0, positions=profile_positions)], + profiles=profiles, + pipe_names=["type0"], + pipe_position_names=["type0"], + profile_names=["circle0", "circle1"], +) + +ap = Aperture(line=line, model=model) + +# Build transform world<->type +sv_ref = sv.rows[0] +sv_ref_mat = matrix_from_survey_row(sv_ref) +type_matrix = model.pipe_positions[0].transformation.to_nparray() +world_from_type = sv_ref_mat @ type_matrix +type_from_world = np.linalg.inv(world_from_type) + +# Compute interpolated cross-sections. +s_samples = np.linspace(1.0, 11.0, 21, dtype=np.float32) +sections_table = ap.cross_sections_at_s(s_samples) +sections = sections_table.cross_section +poses = sections_table.pose + +# Assertions: in fixed type frame, all points should lie on a cone. +for ii in range(len(s_samples)): + sec_xy = sections[ii] + assert not np.isnan(sec_xy).any() + + sec_hom = np.column_stack( + [sec_xy, np.zeros(len(sec_xy), dtype=np.float32), np.ones(len(sec_xy), dtype=np.float32)] + ) + sec_world = (poses[ii] @ sec_hom.T).T + sec_type = (type_from_world @ sec_world.T).T + + rr = np.linalg.norm(sec_type[:, :2], axis=1) + z = sec_type[:, 2] + expected_r = r0 + (r1 - r0) * (z - s0) / (s1 - s0) + xo.assert_allclose(rr, expected_r, atol=1e-3, rtol=0) + + +ax = plt.figure().add_subplot(projection="3d") +ax.plot(sv.Z, sv.X, sv.Y, c="b", label="survey") + +# Plot installed profiles (red) +for type_pos in ap._model.pipe_positions: + aper_type = ap._model.type_for_position(type_pos) + sv_ref_row = sv.rows[type_pos.survey_index] + sv_ref_matrix = matrix_from_survey_row(sv_ref_row) + type_pos_matrix = type_pos.transformation.to_nparray() + + for profile_pos in aper_type.positions: + profile = ap._model.profile_for_position(profile_pos) + poly = ap.polygon_for_profile(profile, 256) + poly_hom = poly2d_to_hom(poly) + profile_matrix = transform_matrix( + dx=profile_pos.shift_x, + dy=profile_pos.shift_y, + ds=profile_pos.shift_s, + theta=profile_pos.rot_y_rad, + phi=profile_pos.rot_x_rad, + psi=profile_pos.rot_s_rad, + ) + poly_world = sv_ref_matrix @ type_pos_matrix @ profile_matrix @ poly_hom + xw, yw, zw = poly_world[:3] + ax.plot(zw, xw, yw, c="r", lw=2) + +# Plot interpolated cross-sections (green) +for ii in range(len(s_samples)): + sec_xy = sections[ii] + sec_hom = poly2d_to_hom(sec_xy) + sec_world = poses[ii] @ sec_hom + xw, yw, zw = sec_world[:3] + ax.plot(zw, xw, yw, c="g", alpha=0.65) + +ax.set_xlabel("Z [m]") +ax.set_ylabel("X [m]") +ax.set_zlabel("Y [m]") +ax.set_title("Interpolated Aperture Cross-Sections: Cone in Curved Survey") +ax.legend(loc="upper left") +plt.show() diff --git a/examples/aperture_model/003_transform_and_interpolate_toy_ring.py b/examples/aperture_model/003_transform_and_interpolate_toy_ring.py new file mode 100644 index 000000000..a026416e5 --- /dev/null +++ b/examples/aperture_model/003_transform_and_interpolate_toy_ring.py @@ -0,0 +1,177 @@ +import xtrack as xt +import xobjects as xo +import numpy as np +import matplotlib.pyplot as plt +from xtrack.aperture.aperture import Aperture +from xtrack.aperture.transform import transform_matrix +from xtrack.aperture.structures import ApertureModel, Pipe, Circle, Profile, ProfilePosition, Rectangle, PipePosition + + +TOY_RING_SEQUENCE = """ + ! Toy Ring, 4 arcs + + l_arc = 3; ! length of the arc + l_quad = 0.3; ! length of the quads + l_drift = 1; ! length of the straight section drifts + + qf = 0.1; ! qf strength + qd = -0.7; ! qd strength + angle_arc = pi / 2; ! arcs 90° + + mb: sbend, angle = angle_arc, l = l_arc, apertype=circle, aperture={0.1}, aper_offset={0.003, 0}; + mqf: quadrupole, k1 = qf, l = l_quad, apertype=rectangle, aperture={0.08, 0.04}; + mqd: quadrupole, k1 = qd, l = l_quad, apertype=ellipse, aperture={0.04, 0.08}; + ds: drift, l = l_drift; + ap_ds: marker, apertype=rectellipse, aperture={0.022, 0.01715, 0.022, 0.022}, aper_tol={9e-4, 8e-4, 5e-4}; + dsa: line = (ap_ds, ds, ap_ds); + + ss_f: line = (dsa, mqf, dsa); + ss_d: line = (dsa, mqd, dsa); + + ring: line = (ss_f, mb, ss_d, mb, ss_f, mb, ss_d, mb); + + beam, particle=proton, pc=1.2e9; + use, period=ring; +""" + +env = xt.load(string=TOY_RING_SEQUENCE, format='madx', install_limits=False) +env.set_particle_ref('proton', p0c=1.2e9) +ring = env['ring'] + +aper = Aperture.from_line_with_associated_apertures(ring) + +sv = ring.survey() + +ax = plt.figure().add_subplot(projection='3d') +ax.plot(sv.Z, sv.X, sv.Y, c='b', label='survey') +ax.set_xlabel('Z [m]') +ax.set_ylabel('X [m]') +ax.set_zlabel('Y [m]') + +ax.auto_scale_xyz([-3, 5], [-7, 1], [-4, 4]) + +sv_rows = list(sv.rows) +for ii, row in enumerate(sv_rows): + if row.name == '_end_point': + continue + z, x, y = row.Z, row.X, row.Y + if ii + 1 < len(sv_rows): + next_row = sv_rows[ii + 1] + z = 0.5 * (row.Z + next_row.Z) + x = 0.5 * (row.X + next_row.X) + y = 0.5 * (row.Y + next_row.Y) + ax.text(z, x, y + 0.3, row.name, fontsize=9, color='k') + + +def matrix_from_survey_point(sv_row): + matrix = np.identity(4) + matrix[:3, 0] = sv_row.ex + matrix[:3, 1] = sv_row.ey + matrix[:3, 2] = sv_row.ez + matrix[:3, 3] = np.hstack([sv_row.X, sv_row.Y, sv_row.Z]) + return matrix + + +def poly2d_to_hom(poly2d): + num_points = poly2d.shape[0] + poly_hom = np.column_stack((poly2d, np.zeros(num_points), np.ones(num_points))).T + return poly_hom + + +def arc_matrix(length: float, angle: float, tilt: float) -> np.ndarray: + if abs(angle) < 1e-9: + return transform_matrix(shift_z=length, rot_z_rad=tilt) + + ct = np.cos(tilt) + st = np.sin(tilt) + ca = np.cos(angle) + sa = np.sin(angle) + dx = length * (ca - 1) / angle + ds = length * sa / angle + return np.array( + [ + [ct * ca, -st, -ct * sa, ct * dx], + [st * ca, ct, -st * sa, st * dx], + [sa, 0.0, ca, ds], + [0.0, 0.0, 0.0, 1.0], + ] + ) + + +seen_installed_profiles = False +for type_pos in aper._model.pipe_positions: + aper_type = aper._model.type_for_position(type_pos) + sv_ref = sv.rows[type_pos.survey_index] + + sv_ref_matrix = matrix_from_survey_point(sv_ref) + type_matrix = type_pos.transformation.to_nparray() + + for profile_pos in aper_type.positions: + profile = aper._model.profile_for_position(profile_pos) + + num_points = 100 + poly = aper.polygon_for_profile(profile, num_points) + poly_hom = poly2d_to_hom(poly) + + profile_matrix_trans = transform_matrix( + dx=profile_pos.shift_x, + dy=profile_pos.shift_y, + ds=0, + theta=profile_pos.rot_y_rad, + phi=profile_pos.rot_x_rad, + psi=profile_pos.rot_s_rad, + ) + profile_matrix_arc = arc_matrix( + length=profile_pos.shift_s, + angle=aper_type.curvature * profile_pos.shift_s, + tilt=0, + ) + profile_position_matrix = profile_matrix_arc @ profile_matrix_trans + + poly_in_sv_frame = sv_ref_matrix @ type_matrix @ profile_position_matrix @ poly_hom + + xs, ys, zs = poly_in_sv_frame[:3] + label = 'installed profiles' if not seen_installed_profiles else None + ax.plot(zs, xs, ys, c='r', label=label) + seen_installed_profiles = True + + +def poses_at_s(line, s_positions): + """Return a local coordinate system (each represented by a homogeneous matrix) at all ``s_positions``.""" + poses = np.zeros(shape=(len(s_positions), 4, 4), dtype=np.float32) + line_sliced = line.copy() + line_sliced.cut_at_s(s_positions) + survey_sliced = line_sliced.survey() + sv_indices = np.searchsorted(survey_sliced.s, s_positions) + + for idx, sv_idx in enumerate(sv_indices): + row = survey_sliced.rows[sv_idx] + poses[idx, :3, 0] = row.ex + poses[idx, :3, 1] = row.ey + poses[idx, :3, 2] = row.ez + poses[idx, :, 3] = np.hstack([row.X, row.Y, row.Z, 1]) + + return poses + + +s_for_cuts = np.linspace(0, ring.get_length(), 300, endpoint=False) +profiles_table = aper.cross_sections_at_s(s_for_cuts) +profiles = profiles_table.cross_section +poses = profiles_table.pose + +expected_poses = poses_at_s(ring, s_for_cuts) +xo.assert_allclose(poses, expected_poses, atol=1e-6, rtol=1e-6) + +seen_cross_sections = False +for idx, s in enumerate(s_for_cuts): + profile = profiles[idx] + profile_hom = poly2d_to_hom(profile) + profile_in_sv_frame = poses[idx] @ profile_hom + + xs, ys, zs = profile_in_sv_frame[:3] + label = 'interpolated cross sections' if not seen_cross_sections else None + ax.plot(zs, xs, ys, c='g', label=label) + seen_cross_sections = True + +ax.legend() +plt.show() diff --git a/examples/aperture_model/004_bend_unbend.py b/examples/aperture_model/004_bend_unbend.py new file mode 100644 index 000000000..1a4f7f7b2 --- /dev/null +++ b/examples/aperture_model/004_bend_unbend.py @@ -0,0 +1,228 @@ +import numpy as np +import matplotlib.pyplot as plt + + +def plot_point(ax, p, **kwargs): + ax.scatter3D(p[2], p[0], p[1], **kwargs) + + +def plot_plane(ax, plane, size=5.0, resolution=2, color="cyan", alpha=0.2): + plane = np.asarray(plane) + + origin = plane[:3, 3] + x_axis = plane[:3, 0] + y_axis = plane[:3, 1] + + u = np.linspace(-size, size, resolution) + v = np.linspace(-size, size, resolution) + + U, V = np.meshgrid(u, v) + + X = origin[0] + x_axis[0]*U + y_axis[0]*V + Y = origin[1] + x_axis[1]*U + y_axis[1]*V + Z = origin[2] + x_axis[2]*U + y_axis[2]*V + + ax.plot_surface(Z, X, Y, color=color, alpha=alpha) + + +def arc_matrix(length: float, angle: float, tilt: float, eps: float = 1e-9) -> np.ndarray: + if abs(angle) < eps: + T = np.eye(4, dtype=float) + T[2, 3] = length + return T + + ct, st = np.cos(tilt), np.sin(tilt) + ca, sa = np.cos(angle), np.sin(angle) + + dx = length * (ca - 1.0) / angle + ds = length * sa / angle + + T = np.array([ + [ct * ca, -st, -ct * sa, ct * dx], + [st * ca, ct, -st * sa, st * dx], + [sa, 0.0, ca, ds], + [0.0, 0.0, 0.0, 1.0], + ], dtype=float) + return T + + +def plane_pose_to_point_and_normal(plane): + plane = np.asarray(plane) + T = plane[:3, 3] + n = plane[:3, 2] + return T, n + + +def line_segment_plane_intersect(start, end, plane_point, plane_normal, eps=1e-9): + start = np.asarray(start, dtype=float) + end = np.asarray(end, dtype=float) + + T = plane_point + n = plane_normal + + # A - T and B - T + ta = start - T + tb = end - T + + # Dot products + n_dot_ta = np.dot(n, ta) # n · (A - T) + n_dot_tb = np.dot(n, tb) # n · (B - T) + + # Degenerate segment: zero length + ab = end - start + length_sq = np.dot(ab, ab) + + if length_sq < eps * eps: + if abs(n_dot_ta) < eps: + return 0.0 + return np.nan + + # n · (B - A) + n_dot_ab = n_dot_tb - n_dot_ta + + if abs(n_dot_ab) < eps: + a_on_plane = abs(n_dot_ta) < eps + b_on_plane = abs(n_dot_tb) < eps + + if a_on_plane and b_on_plane: + return 0.0 + if a_on_plane: + return 0.0 + if b_on_plane: + return 1.0 + + return np.nan + + return -n_dot_ta / n_dot_ab + + +def curvilinear_to_cartesian_point(p_curv, h): + """ + Curvilinear (x, y, s) -> Cartesian (X, Y, Z) + """ + x, y, s = np.asarray(p_curv, dtype=float) + + if np.isclose(h, 0.0): + return np.array([x, y, s], dtype=float) + + R = 1.0 / h + theta = h * s + c = np.cos(theta) + sn = np.sin(theta) + + X = (R + x) * c - R + Y = y + Z = (R + x) * sn + + return np.array([X, Y, Z], dtype=float) + + +def cartesian_to_curvilinear_point(p_cart, h): + """ + Cartesian (X, Y, Z) -> Curvilinear (x, y, s) + """ + X, Y, Z = np.asarray(p_cart, dtype=float) + + if np.isclose(h, 0.0): + return np.array([X, Y, Z], dtype=float) + + R = 1.0 / h + + # Since X + R = (R + x) cos(theta), Z = (R + x) sin(theta) + sgn = np.sign(h) + rho = sgn * np.hypot(X + R, Z) + + x = rho - R + y = Y + theta = np.arctan2(sgn * Z, sgn * (X + R)) + s = theta / h + + return np.array([x, y, s], dtype=float) + + +def cartesian_vector_to_curvilinear_at_point(p_curv, v_cart, h): + """ + Convert an attached Cartesian vector to curvilinear components + using the local inverse Jacobian for your arc_matrix convention. + """ + x, _, s = np.asarray(p_curv, dtype=float) + VX, VY, VZ = np.asarray(v_cart, dtype=float) + + if np.isclose(h, 0.0): + return np.array([VX, VY, VZ], dtype=float) + + theta = h * s + c = np.cos(theta) + sn = np.sin(theta) + scale_s = 1.0 + h * x + + if np.isclose(scale_s, 0.0): + raise ValueError("Jacobian is singular at x = -1/h.") + + vx = c * VX + sn * VZ + vy = VY + vs = (-sn * VX + c * VZ) / scale_s + + return np.array([vx, vy, vs], dtype=float) + + +ax = plt.figure().add_subplot(projection='3d') +# ax_str = plt.figure().add_subplot(projection='3d') + +# Plot the frame +h = 0.1 +origin = np.array([[0, 0, 0, 1]]).T +points = np.array([arc_matrix(s, s * h, 0) @ origin for s in np.linspace(-2, 12, 100)]) +ax.plot3D(points[:, 2], points[:, 0], points[:, 1], color='gray', linestyle='--') + +# Intersecting plane +s_plane = 5 +plane = arc_matrix(s_plane, s_plane * h, 0) +plot_plane(ax, plane) + +for th in np.linspace(0, 2 * np.pi, 20): + # Generate face 1 + x0_loc = np.cos(th) * 4 + y0_loc = np.sin(th) * 4 + z0_loc = 0 + p0 = np.array([[x0_loc, y0_loc, z0_loc]]).T + p0_hom = np.vstack([p0, 1]) + p0 = p0_hom + + # Generate face 2 + x1_loc = x0_loc + y1_loc = y0_loc + z1_loc = 0 + s1 = 10 + p1 = np.array([[x1_loc, y1_loc, z1_loc]]).T + p1_hom = np.vstack([p1, 1]) + p1 = arc_matrix(s1, s1 * h, 0) @ p1_hom + + # Plot the faces + plot_point(ax, p0, c='r') + plot_point(ax, p1, c='b') + + # Plane point and normal + p_plane, n_plane = plane_pose_to_point_and_normal(plane) + + # Intersect in straight frame + t_straight = line_segment_plane_intersect(p0[:3].flatten(), p1[:3].flatten(), p_plane, n_plane) + p_interp_straight = p0[:3] + t_straight * (p1[:3] - p0[:3]) + plot_point(ax, p_interp_straight, c='cyan') + + # Intersect in curved frame + p0_curv = cartesian_to_curvilinear_point(p0[:3].flatten(), h) + p1_curv = cartesian_to_curvilinear_point(p1[:3].flatten(), h) + p_plane_curv = cartesian_to_curvilinear_point(p_plane, h) + n_plane_curv = cartesian_vector_to_curvilinear_at_point(p_plane_curv, n_plane, h) + t_curv = line_segment_plane_intersect(p0_curv[:3].flatten(), p1_curv[:3].flatten(), p_plane_curv, n_plane_curv) + p_interp_curv = p0_curv[:3] + t_curv * (p1_curv[:3] - p0_curv[:3]) + p_interp_projected_back = curvilinear_to_cartesian_point(p_interp_curv, h) + plot_point(ax, p_interp_projected_back, c='green') + + +ax.set_xlabel('Z [m]') +ax.set_ylabel('X [m]') +ax.set_zlabel('Y [m]') +ax.auto_scale_xyz([0, 12], [-6, 6], [-6, 6]) +plt.show() \ No newline at end of file diff --git a/examples/aperture_model/005_interpolate_on_curve.py b/examples/aperture_model/005_interpolate_on_curve.py new file mode 100644 index 000000000..4feec1fe0 --- /dev/null +++ b/examples/aperture_model/005_interpolate_on_curve.py @@ -0,0 +1,182 @@ +import matplotlib.pyplot as plt +import numpy as np +import xobjects as xo +import xtrack as xt + +from xtrack.aperture.aperture import Aperture +from xtrack.aperture.transform import transform_matrix +from xtrack.aperture.structures import ( + ApertureModel, + Pipe, + Circle, + Profile, + ProfilePosition, + PipePosition, +) + + +def matrix_from_survey_row(sv_row): + out = np.identity(4) + out[:3, 0] = sv_row.ex + out[:3, 1] = sv_row.ey + out[:3, 2] = sv_row.ez + out[:3, 3] = np.array([sv_row.X[0], sv_row.Y[0], sv_row.Z[0]]) + return out + + +def poly2d_to_hom(poly2d): + n = poly2d.shape[0] + return np.column_stack([poly2d, np.zeros(n), np.ones(n)]).T + + +def arc_matrix(length: float, angle: float, tilt: float) -> np.ndarray: + if abs(angle) < 1e-8: + mat = np.eye(4) + mat[2, 3] = length + return mat + + ct = np.cos(tilt) + st = np.sin(tilt) + + ca = np.cos(angle) + sa = np.sin(angle) + + dx = length * (ca - 1) / angle + ds = length * sa / angle + + mat = np.array([ + [ct * ca, -st, -ct * sa, ct * dx], + [st * ca, ct, -st * sa, st * dx], + [sa, 0.0, ca, ds], + [0.0, 0.0, 0.0, 1.0], + ], dtype=float) + + return mat + + +env = xt.Environment() +angle = np.deg2rad(35.0) +length = 3.2 +radius = 0.6 + +bend = env.new('bend', xt.Bend, length=length, angle=angle, k0=0) +drift = env.new('drift', xt.Drift, length=length) +anti_bend = env.new('anti_bend', xt.Bend, length=length, angle=-angle, k0=0) +line = env.new_line(name='line', components=[bend, drift, anti_bend]) +sv = line.survey() + +shape = Circle(radius=radius) +profiles = [ + Profile(shape=shape, tol_r=0, tol_x=0, tol_y=0), +] +profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=length), +] + +model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + PipePosition( + pipe_index=1, + survey_reference_name=sv.name[1], + survey_index=1, + transformation=transform_matrix(), + ), + PipePosition( + pipe_index=2, + survey_reference_name=sv.name[2], + survey_index=2, + transformation=transform_matrix(), + ), + ], + pipes=[ + Pipe(curvature=angle / length, positions=profile_positions), + Pipe(curvature=0, positions=profile_positions), + Pipe(curvature=-angle / length, positions=profile_positions), + ], + profiles=profiles, + pipe_names=['type0', 'type1', 'type2'], + pipe_position_names=['type0', 'type1', 'type2'], + profile_names=['circ0'], +) + +ap = Aperture(line=line, model=model, num_profile_points=256) + +bounds_table = ap.get_bounds_table() +bounds_s = [0, length, length, 2 * length, 2 * length, 3 * length] +xo.assert_allclose(bounds_table.s, bounds_s, atol=1e-6, rtol=1e-6) +xo.assert_allclose(bounds_table.s_start, bounds_s, atol=1e-6, rtol=1e-6) +xo.assert_allclose(bounds_table.s_end, bounds_s, atol=1e-6, rtol=1e-6) +assert all(bounds_table.pipe_name == ['type0', 'type0', 'type1', 'type1', 'type2', 'type2']) +assert all(bounds_table.profile_name == ['circ0']) + +s_samples = np.linspace(0, 3 * length, 51, dtype=np.float32) +sections_table = ap.cross_sections_at_s(s_samples) +sections = sections_table.cross_section +poses = sections_table.pose + +ax = plt.figure().add_subplot(projection="3d") + +line_fine = line.copy() +line_fine.cut_at_s(s_samples) +sv_fine = line_fine.survey() +ax.plot(sv_fine.Z, sv_fine.X, sv_fine.Y, c="b", label="survey") + +# Plot installed profiles (red) +for type_pos in ap._model.pipe_positions: + aper_type = ap._model.type_for_position(type_pos) + sv_ref_row = sv.rows[type_pos.survey_index] + sv_ref_matrix = matrix_from_survey_row(sv_ref_row) + type_pos_matrix = type_pos.transformation.to_nparray() + + for profile_pos in aper_type.positions: + profile = ap._model.profile_for_position(profile_pos) + poly = ap.polygon_for_profile(profile, 256) + poly_hom = poly2d_to_hom(poly) + profile_matrix_trans = transform_matrix( + dx=profile_pos.shift_x, + dy=profile_pos.shift_y, + ds=0, + theta=profile_pos.rot_y_rad, + phi=profile_pos.rot_x_rad, + psi=profile_pos.rot_s_rad, + ) + profile_matrix_arc = arc_matrix( + length=profile_pos.shift_s, + angle=aper_type.curvature * profile_pos.shift_s, + tilt=0, + ) + profile_matrix = profile_matrix_arc @ profile_matrix_trans + poly_world = sv_ref_matrix @ type_pos_matrix @ profile_matrix @ poly_hom + xw, yw, zw = poly_world[:3] + ax.plot(zw, xw, yw, c="r", lw=2) + +# Plot interpolated cross-sections (green) +for ii in range(len(s_samples)): + sec_xy = sections[ii] + sec_hom = poly2d_to_hom(sec_xy) + sec_world = poses[ii] @ sec_hom + xw, yw, zw = sec_world[:3] + ax.plot(zw, xw, yw, c="g", alpha=0.65) + + pose_centers = poses[ii] @ np.array([0, 0, 0, 1]).T + ax.scatter3D(pose_centers[2], pose_centers[0], pose_centers[1], c='g', alpha=0.65) + +ax.set_xlabel("Z [m]") +ax.set_ylabel("X [m]") +ax.set_zlabel("Y [m]") +ax.auto_scale_xyz([0, 4], [-2, 2], [-2, 2]) +ax.set_box_aspect((1, 1, 1)) +ax.legend(loc="upper left") +plt.show() + + +for ii in range(1, len(sections)): + xo.assert_allclose(np.linalg.norm(sections[ii], axis=1), radius, atol=1e-6, rtol=0) diff --git a/examples/aperture_model/benchmark1/.gitignore b/examples/aperture_model/benchmark1/.gitignore new file mode 100644 index 000000000..b4f8138c5 --- /dev/null +++ b/examples/aperture_model/benchmark1/.gitignore @@ -0,0 +1,6 @@ +slhc +d2_aperture +lhc_aperture.json +lhc_aperture_model.json +twiss_lhcb* +temp diff --git a/examples/aperture_model/benchmark1/000_compare_cross_sections.py b/examples/aperture_model/benchmark1/000_compare_cross_sections.py new file mode 100644 index 000000000..1ce0499b4 --- /dev/null +++ b/examples/aperture_model/benchmark1/000_compare_cross_sections.py @@ -0,0 +1,105 @@ +import matplotlib.pyplot as plt +from pyoptics import BeamEnvelope +import xobjects as xo +import xtrack as xt +from xtrack.aperture import Aperture +import numpy as np + +context = xo.ContextCpu(omp_num_threads="auto") + +lhc_with_metadata = xt.load("./lhc_aperture.json") + +b1 = lhc_with_metadata["b1"] +lhc_length = b1.get_length() + +aperture_model = Aperture.from_line_with_madx_metadata(b1, num_profile_points=100, include_offsets=True, context=context) +with open('lhc_aperture_model.json', 'w') as f: + xt.json.dump(aperture_model._model.to_dict(), f) + +emittance_norm = 2.5e-6 +apbbeat = 1.1 +DParcx = 0.10 +DParcy = 0.10 +COmax = 0.002 +dPmax = 0.0002 +VMAXI = 30 +SPECIF = 7 + +aperture_model.halo_params.update( + { + "emitx_norm": emittance_norm, + "emity_norm": emittance_norm, + "delta_rms": dPmax, + "tol_co": COmax, + "tol_disp": DParcx, # MADX has different settings for x/y + "tol_disp_ref": 2.086, + "tol_disp_ref_beta": 170.25, + "tol_beta_beating": apbbeat, # MADX has different settings for x/y + } +) + +# Beam Envelope pyoptics vs Xtrack aperture model +ap = BeamEnvelope.from_apname("temp/ap_ir5b1.tfs") + +tt = aperture_model.get_bounds_table() + +# Cross-sections and beam pyoptics vs Xtrack aperture model +for name in ["MB.A9L5", "MQXFA.A1R5", "MBXF.4R5", "TAXN.4L5"]: + ap.plot_halo_name(name) + + xs_name = b1.get_table().rows[f'{name.lower()}.*'].name[0] + + n1_table, twiss = aperture_model.get_aperture_sigmas_at_element( + element_name=xs_name, + resolution=0.1, + method='bisection', + output_max_envelopes=True, + ) + sigmas = n1_table.n1 + max_envelope = n1_table.envelope + + n1_rays, _ = aperture_model.get_aperture_sigmas_at_element( + element_name=xs_name, + resolution=0.1, + method='rays', + ) + sigmas_rays = n1_rays.n1 + n1_exact, _ = aperture_model.get_aperture_sigmas_at_element( + element_name=xs_name, + resolution=0.1, + method='exact', + output_max_envelopes=True, + ) + sigmas_exact = n1_exact.n1 + max_envelope_exact = n1_exact.envelope + + cross_sections_table = aperture_model.cross_sections_at_element(element_name=xs_name, resolution=0.1) + cross_sections = cross_sections_table.cross_section + + + ap_centre = (np.min(cross_sections, axis=1) + np.max(cross_sections, axis=1)) / 2 + + for pt, ct in zip(cross_sections, ap_centre): + plt.plot(pt[:, 0] - ct[0], pt[:, 1] - ct[1], c='gray', linestyle='--') + + seen = False + for pt, ct in zip(max_envelope, ap_centre): + plt.plot(pt[:, 0] - ct[0], pt[:, 1] - ct[1], c='cyan', linestyle=':', label='halo (Xtrack)' if not seen else '') + seen = True + + plt.gca().set_aspect('equal') + plt.suptitle(f"{xs_name}") + plt.title( + " / ".join( + [ + f"min(n1_rays) = {min(sigmas_rays):.5f}", + f"min(n1_bisection) = {min(sigmas):.5f}", + f"min(n1_exact) = {min(sigmas_exact):.5f}", + ] + ) + ) + plt.legend() + plt.show() + + ap.ap.show(name, "s n1 betx bety x y dx dy") + print(tt.rows[f'{name.lower()}.*']) diff --git a/examples/aperture_model/benchmark1/001_compare_single_profile.py b/examples/aperture_model/benchmark1/001_compare_single_profile.py new file mode 100644 index 000000000..d7ae049f2 --- /dev/null +++ b/examples/aperture_model/benchmark1/001_compare_single_profile.py @@ -0,0 +1,104 @@ +import matplotlib.pyplot as plt +from pyoptics import BeamEnvelope +import xobjects as xo +import xtrack as xt +from xtrack.aperture import Aperture +import numpy as np + +context = xo.ContextCpu(omp_num_threads="auto") + +lhc_with_metadata = xt.load("./lhc_aperture.json") + +b1 = lhc_with_metadata["b1"] +lhc_length = b1.get_length() + +aperture_model = Aperture.from_line_with_madx_metadata(b1, num_profile_points=100, include_offsets=True, context=context) + +emittance_norm = 2.5e-6 +apbbeat = 1.1 +DParcx = 0.10 +DParcy = 0.10 +COmax = 0.002 +dPmax = 0.0002 +VMAXI = 30 +SPECIF = 7 + +aperture_model.halo_params.update( + { + "emitx_norm": emittance_norm, + "emity_norm": emittance_norm, + "delta_rms": dPmax, + "tol_co": COmax, + "tol_disp": DParcx, # MADX has different settings for x/y + "tol_disp_ref": 2.086, + "tol_disp_ref_beta": 170.25, + "tol_beta_beating": apbbeat, # MADX has different settings for x/y + "halo_x": 1, + "halo_y": 1, + "halo_r": 1, + "halo_primary": 1, + } +) + +# Beam Envelope pyoptics vs Xtrack aperture model +ap = BeamEnvelope.from_apname("temp/ap_ir5b1.tfs") + +tt = aperture_model.get_bounds_table() + +# Cross-sections and beam pyoptics vs Xtrack aperture model +for name in ["MB.A9L5", "MQXFA.A1R5", "MBXF.4R5", "TAXN.4L5"]: + pyop_id = ap.get_n_name(name)[0] + n_sigma = ap.get_n1_name(name)[0][0] + s = ap.ap.s[pyop_id] + + ap.plot_halo(pyop_id, halor=n_sigma, halox=n_sigma, haloy=n_sigma) + + n1_bisection, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=[s], + method="bisection", + envelopes_num_points=101, + ) + sigmas_bisection = n1_bisection.n1 + n1_rays, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=[s], + method="rays", + num_rays=360, + ) + sigmas_rays = n1_rays.n1 + n1_exact, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=[s], + method="exact", + num_rays=360, + ) + sigmas_exact = n1_exact.n1 + envel, _ = aperture_model.get_envelope_at_s(s_positions=[s], sigmas=sigmas_bisection[0], envelopes_num_points=101) + + cross_sections_table = aperture_model.cross_sections_at_s(s_positions=[s]) + cross_sections = cross_sections_table.cross_section + poses = cross_sections_table.pose + + ap_centre = (np.min(cross_sections, axis=1) + np.max(cross_sections, axis=1)) / 2 + + for pt, ct in zip(cross_sections, ap_centre): + plt.plot(pt[:, 0] - ct[0], pt[:, 1] - ct[1], c='gray', linestyle='--') + + for pt, ct in zip(envel, ap_centre): + plt.plot(pt[:, 0] - ct[0], pt[:, 1] - ct[1], c='b', linestyle='-', marker='.') + + plt.gca().set_aspect('equal') + plt.title( + " / ".join( + [ + f"s = {s:.6f}", + f"n1_pyoptics = {n_sigma:.5f}", + f"n1_rays = {sigmas_rays[0]:.5f}", + f"n1_bisection = {sigmas_bisection[0]:.5f}", + f"n1_exact = {sigmas_exact[0]:.5f}", + ] + ) + ) + plt.legend() + plt.show() + + ap.ap.show(name, "s n1 betx bety x y dx dy") + print(tt.rows[f'{name.lower()}.*']) diff --git a/examples/aperture_model/benchmark1/002_compare_ir_n1.py b/examples/aperture_model/benchmark1/002_compare_ir_n1.py new file mode 100644 index 000000000..2a55d1622 --- /dev/null +++ b/examples/aperture_model/benchmark1/002_compare_ir_n1.py @@ -0,0 +1,127 @@ +import matplotlib.pyplot as plt +import numpy as np +from pyoptics import BeamEnvelope + +import xobjects as xo +import xtrack as xt +from xtrack.aperture import Aperture + +which_ir = '5' + +context = xo.ContextCpu(omp_num_threads="auto") + +lhc_with_metadata = xt.load("./lhc_aperture.json") +b1 = lhc_with_metadata["b1"] + +aperture_model = Aperture.from_line_with_madx_metadata( + b1, + num_profile_points=100, + include_offsets=True, + context=context, +) + +emittance_norm = 2.5e-6 +apbbeat = 1.1 +DParcx = 0.10 +DParcy = 0.10 +COmax = 0.002 +dPmax = 0.0002 +VMAXI = 30 +SPECIF = 7 + +aperture_model.halo_params.update( + { + "emitx_norm": emittance_norm, + "emity_norm": emittance_norm, + "delta_rms": dPmax, + "tol_co": COmax, + "tol_disp": DParcx, # MADX has different settings for x/y + "tol_disp_ref": 2.086, + "tol_disp_ref_beta": 170.25, + "tol_beta_beating": apbbeat, # MADX has different settings for x/y + } +) + +ap = BeamEnvelope.from_apname(f"temp/ap_ir{which_ir}b1.tfs") + +s_positions = np.array(ap.ap.s, dtype=float) +n1_pyoptics = np.array(ap.ap.n1, dtype=float) + +n1_rays, twiss = aperture_model.get_aperture_sigmas_at_s( + s_positions=s_positions, + envelopes_num_points=36, + method="rays", +) +sigmas_rays = n1_rays.n1 +n1_bisection, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=s_positions, + num_rays=360, + method="bisection", +) +sigmas_bisection = n1_bisection.n1 +n1_exact, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=s_positions, + num_rays=360, + method="exact", +) +sigmas_exact = n1_exact.n1 + +n1_pyoptics_plot = np.where(n1_pyoptics > 9e5, np.inf, n1_pyoptics) +mask_rays = np.isfinite(n1_pyoptics_plot) & np.isfinite(sigmas_rays) +mask_bisection = np.isfinite(n1_pyoptics_plot) & np.isfinite(sigmas_bisection) +mask_exact = np.isfinite(n1_pyoptics_plot) & np.isfinite(sigmas_exact) + +fig, (ax_top, ax_middle, ax_bottom) = plt.subplots( + 3, + 1, + sharex=True, + figsize=(10, 9), + height_ratios=[3, 2, 1], +) + +ax_top.plot(s_positions, n1_pyoptics_plot, label="n1 (MAD-X/pyoptics)", lw=1.5) +ax_top.plot(s_positions, sigmas_rays, label="n1 (Xtrack rays)", linestyle="--", lw=1.5) +ax_top.plot(s_positions, sigmas_bisection, label="n1 (Xtrack bisection)", linestyle=":", lw=1.5) +ax_top.plot(s_positions, sigmas_exact, label="n1 (Xtrack exact)", linestyle="-.", lw=1.5) +ax_top.set_ylabel(r"max beam size [$\sigma$]") +ax_top.set_title(f"IR{which_ir} B1 aperture comparison") +ax_top.legend() +ax_top.grid(True) + +ax_middle.plot(s_positions, twiss.betx, label=r"$\beta_x$", lw=1.2) +ax_middle.plot(s_positions, twiss.bety, label=r"$\beta_y$", lw=1.2) +ax_middle.plot(s_positions, twiss.x * 1e3, label=r"$x_{co}$ [mm]", lw=1.2) +ax_middle.plot(s_positions, twiss.y * 1e3, label=r"$y_{co}$ [mm]", lw=1.2) +ax_middle.set_ylabel("Twiss / CO") +ax_middle.grid(True) +ax_middle.legend() + +ax_bottom.plot( + s_positions, + n1_pyoptics_plot - sigmas_exact, + lw=1.2, + linestyle="-", + label=r"$\Delta n_1$ (MAD-X/pyoptics - exact)", +) +ax_bottom.plot( + s_positions, + sigmas_rays - sigmas_exact, + lw=1.2, + linestyle="--", + label=r"$\Delta n_1$ (rays - exact)", +) +ax_bottom.plot( + s_positions, + sigmas_bisection - sigmas_exact, + lw=1.2, + linestyle=":", + label=r"$\Delta n_1$ (bisection - exact)", +) +ax_bottom.axhline(0.0, color="k", lw=0.8, linestyle="--") +ax_bottom.set_xlabel("s [m]") +ax_bottom.set_ylabel(r"$\Delta n_1$") +ax_bottom.grid(True) +ax_bottom.legend() + +plt.tight_layout() +plt.show() diff --git a/examples/aperture_model/benchmark1/003_compare_plots.py b/examples/aperture_model/benchmark1/003_compare_plots.py new file mode 100644 index 000000000..6780b08f5 --- /dev/null +++ b/examples/aperture_model/benchmark1/003_compare_plots.py @@ -0,0 +1,79 @@ +import matplotlib.pyplot as plt +from pyoptics import BeamEnvelope +import xobjects as xo +import xtrack as xt +from xtrack.aperture import Aperture +import numpy as np + +context = xo.ContextCpu(omp_num_threads="auto") + +lhc_with_metadata = xt.load("./lhc_aperture.json") + +b1 = lhc_with_metadata["b1"] +lhc_length = b1.get_length() + +aperture_model = Aperture.from_line_with_madx_metadata(b1, num_profile_points=100, include_offsets=True, context=context) +with open('lhc_aperture_model.json', 'w') as f: + xt.json.dump(aperture_model._model.to_dict(), f) + +emittance_norm = 2.5e-6 +apbbeat = 1.1 +DParcx = 0.10 +DParcy = 0.10 +COmax = 0.002 +dPmax = 0.0002 +VMAXI = 30 +SPECIF = 7 + +aperture_model.halo_params.update( + { + "emitx_norm": emittance_norm, + "emity_norm": emittance_norm, + "delta_rms": dPmax, + "tol_co": COmax, + "tol_disp": DParcx, # MADX has different settings for x/y + "tol_disp_ref": 2.086, + "tol_disp_ref_beta": 170.25, + "tol_beta_beating": apbbeat, # MADX has different settings for x/y + } +) + +# Beam Envelope pyoptics vs Xtrack aperture model +ap = BeamEnvelope.from_apname("temp/ap_ir5b1.tfs") + +tt = aperture_model.get_bounds_table() + +# Cross-sections and beam pyoptics vs Xtrack aperture model +for name in ["MB.B10L5", "MB.A9L5", "MQXFA.A1R5", "MBXF.4R5", "TAXN.4L5"]: + n1_pyoptics = np.min([row[0] for row in ap.get_n1_name(name)]) + + xs_name = b1.get_table().rows[f'{name.lower()}.*'].name[0] + + fig, axs = plt.subplots(2, 2, sharex=True, sharey=True) + aperture_model.plot_n1_at_element(xs_name, method='rays', middle='aperture', ax=axs[0, 0]) + aperture_model.plot_n1_at_element(xs_name, method='bisection', middle='aperture', ax=axs[0, 1]) + aperture_model.plot_n1_at_element(xs_name, method='exact', middle='aperture', ax=axs[1, 0]) + plt.sca(axs[1, 1]) + ap.plot_halo_name(name) + + for ax in axs.flat: + ax.set(xlabel='m', ylabel='m') + + for ax in axs.flat: + ax.label_outer() + plt.show() + + + fig, axs = plt.subplots(2, 2, sharex=True, sharey=True) + aperture_model.plot_at_element(xs_name, middle='aperture', method='rays', ax=axs[0, 0]) + aperture_model.plot_at_element(xs_name, middle='aperture', method='bisection', ax=axs[0, 1]) + aperture_model.plot_at_element(xs_name, middle='aperture', method='exact', ax=axs[1, 0]) + plt.sca(axs[1, 1]) + ap.plot_halo_name(name, n1=n1_pyoptics) + + for ax in axs.flat: + ax.set(xlabel='m', ylabel='m') + + for ax in axs.flat: + ax.label_outer() + plt.show() diff --git a/examples/aperture_model/benchmark1/job_compute_aperture.madx b/examples/aperture_model/benchmark1/job_compute_aperture.madx new file mode 100644 index 000000000..59869b227 --- /dev/null +++ b/examples/aperture_model/benchmark1/job_compute_aperture.madx @@ -0,0 +1,33 @@ +call,file=job_model.madx; +exec,mk_apir(1,b1,NRJ,FULL); +exec,mk_apir(1,b2,NRJ,FULL); +exec,mk_apir(2,b1,NRJ,FULL); +exec,mk_apir(2,b2,NRJ,FULL); +exec,mk_apir(3,b1,NRJ,FULL); +exec,mk_apir(3,b2,NRJ,FULL); +exec,mk_apir(4,b1,NRJ,FULL); +exec,mk_apir(4,b2,NRJ,FULL); +exec,mk_apir(5,b1,NRJ,FULL); +exec,mk_apir(5,b2,NRJ,FULL); +exec,mk_apir(6,b1,NRJ,FULL); +exec,mk_apir(6,b2,NRJ,FULL); +exec,mk_apir(7,b1,NRJ,FULL); +exec,mk_apir(7,b2,NRJ,FULL); +exec,mk_apir(8,b1,NRJ,FULL); +exec,mk_apir(8,b2,NRJ,FULL); +exec,mk_aparc(8,1,b1,NRJ); +exec,mk_aparc(1,2,b1,NRJ); +exec,mk_aparc(2,3,b1,NRJ); +exec,mk_aparc(3,4,b1,NRJ); +exec,mk_aparc(4,5,b1,NRJ); +exec,mk_aparc(5,6,b1,NRJ); +exec,mk_aparc(6,7,b1,NRJ); +exec,mk_aparc(7,8,b1,NRJ); +exec,mk_aparc(8,1,b2,NRJ); +exec,mk_aparc(1,2,b2,NRJ); +exec,mk_aparc(2,3,b2,NRJ); +exec,mk_aparc(3,4,b2,NRJ); +exec,mk_aparc(4,5,b2,NRJ); +exec,mk_aparc(5,6,b2,NRJ); +exec,mk_aparc(6,7,b2,NRJ); +exec,mk_aparc(7,8,b2,NRJ); diff --git a/examples/aperture_model/benchmark1/job_make_xsuite_json.py b/examples/aperture_model/benchmark1/job_make_xsuite_json.py new file mode 100644 index 000000000..ecd7582b6 --- /dev/null +++ b/examples/aperture_model/benchmark1/job_make_xsuite_json.py @@ -0,0 +1,35 @@ +import xtrack as xt +import numpy as np +from cpymad.madx import Madx +from xdeps import Table + +madx = Madx() +madx.call("job_model.madx") + +lines = xt.Environment.from_madx(madx=madx, enable_layout_data=True, return_lines=True) +lines["b1"] = lines.pop("lhcb1") +lines["b2"] = lines.pop("lhcb2") +lines["b1"].particle_ref = xt.Particles(mass0=xt.PROTON_MASS_EV, p0c=7e12) +lines["b2"].particle_ref = xt.Particles(mass0=xt.PROTON_MASS_EV, p0c=7e12) +lhc = xt.Environment(lines=lines) + +for ll in lhc.lines.values(): + ll.twiss_default["method"] = "4d" + ll.twiss_default["co_search_at"] = "ip7" + ll.twiss_default["strengths"] = True + ll.metadata = lines[ll.name].metadata + +lhc.b1.metadata["aperture_offsets"] = {} +lhc.b2.metadata["aperture_offsets"] = {} + +lhc["lagrf400.b1"] = 0.5 +lhc["vrf400"] = 6.5 + +for ipn in range(1, 9): + for beam in "14": + tfs = Table.from_tfs(f"offsets/offset.ip{ipn}.b{beam}.tfs") + tfs._data["name"] = np.array(tfs._data["name"], dtype=str) + line = lhc.b1 if beam == "1" else lhc.b2 + line.metadata["aperture_offsets"][f"ip{ipn}"] = tfs._data.copy() + +lhc.to_json("lhc_aperture.json") diff --git a/examples/aperture_model/benchmark1/job_model.madx b/examples/aperture_model/benchmark1/job_model.madx new file mode 100644 index 000000000..ba47587f0 --- /dev/null +++ b/examples/aperture_model/benchmark1/job_model.madx @@ -0,0 +1,40 @@ +option,-echo,-info,-warn; +Option, -echo,-warn,-info; + +call,file="lhc/aperture/const_for_aperture.madx"; +call,file="lhc/lhc.seq"; +Option, -echo,warn,-info; + +call,file="slhc/toolkit/macro.madx"; +call,file="slhc/hllhc_sequence.madx"; +call, file="lhc/aperture/aperture.b1.madx"; +call, file="lhc/aperture/aperture.b2.madx"; +call, file="lhc/aperture/aper_tol.b1.madx"; +call, file="lhc/aperture/aper_tol.b2.madx"; +call,file="slhc/aperture/exp_pipe_model_after_LS3.madx"; +call,file="slhc/aperture/exp_pipe_install_after_LS3.madx"; + +exec,mk_beam(7000); + +seqedit,sequence=lhcb1;flatten;cycle,start=e.ds.r3.b1;endedit; +seqedit,sequence=lhcb2;flatten;cycle,start=e.ds.r3.b2;endedit; + +call,file="slhc/round/opt_round_150_1500.madx"; +call,file="slhc/aperture/aperture_upgrade_IT.madx"; +call,file="slhc/aperture/aperture_upgrade_MS.madx"; + +no_bs_tol=0; + +emittance_norm=2.5e-6; +apbbeat=1.1; +halor=6.001; halox=6; haloy=6; +DParcx=0.10; DParcy=0.10; +COmax=0.002; dPmax=0.0002; VMAXI=30; SPECIF=7; +FULL=1; + +d1_newbs=0; +on_x5=250; on_x1=250; +on_sep5=0; on_sep1=0; +on_disp=1; +value,on_x5,on_x1,on_sep5,on_sep1; +exec,check_ip(b1); exec,check_ip(b2); diff --git a/examples/aperture_model/benchmark1/lhc b/examples/aperture_model/benchmark1/lhc new file mode 120000 index 000000000..3b1453bb5 --- /dev/null +++ b/examples/aperture_model/benchmark1/lhc @@ -0,0 +1 @@ +slhc/lhc \ No newline at end of file diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip1.b1.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip1.b1.tfs new file mode 100644 index 000000000..bbcaf8c38 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip1.b1.tfs @@ -0,0 +1,506 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L1.B1" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L1.B1" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L1.A.B1" -268.273590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L1.B.B1" -258.838390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L1.A.B1" -258.643300 0.000000 0.000000 0.000000 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0.000000 0.000000 0.000000 + "VMANC.4R1.B.B1" 59.102000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNC.4R1.A.B1" 59.102000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNC.4R1.B.B1" 59.302000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.A.B1" 59.302000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.A4R1" 61.322000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.B.B1" 63.218000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.A.B1" 63.218000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.B.B1" 63.568000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.C.B1" 63.568000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.B4R1" 65.588000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.D.B1" 67.484000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.A.B1" 67.484000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.B.B1" 67.834000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.E.B1" 67.834000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.C4R1" 69.854000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.F.B1" 71.750000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.C.B1" 71.750000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.D.B1" 72.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.G.B1" 72.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.D4R1" 74.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.H.B1" 76.016000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.C.B1" 76.016000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.D.B1" 76.366000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.I.B1" 76.366000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.E4R1" 78.386000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.J.B1" 80.282000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.E.B1" 80.282000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.F.B1" 80.632000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.K.B1" 80.632000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.F4R1" 82.652000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.L.B1" 84.548000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.G.B1" 84.548000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.H.B1" 84.898000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R1.A.B1" 84.898000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R1.B.B1" 89.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.A.B1" 89.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.B.B1" 89.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.A.B1" 89.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.A.B1" 95.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.B.B1" 95.300000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.B.B1" 95.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.C.B1" 95.700000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.D.B1" 101.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.C.B1" 101.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.D.B1" 102.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.E.B1" 102.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.F.B1" 107.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.C.B1" 108.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.G.B1" 108.300000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.D.B1" 108.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.H.B1" 114.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.E.B1" 114.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.F.B1" 114.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.I.B1" 114.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.J.B1" 120.500000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.E.B1" 120.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.K.B1" 120.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.F.B1" 121.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.L.B1" 126.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.G.B1" 126.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 + "TANAR.4R1" 142.750000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R1.D.B1" 144.720000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4R1.A.B1" 144.720000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4R1.B.B1" 144.870000 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R1.A.B1" 144.870000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R1.B.B1" 145.150000 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSQ.4R1.A.B1" 145.150000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSQ.4R1.B.B1" 148.490000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R1.A.B1" 148.490000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R1.A.B1" 148.990000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R1.B.B1" 149.010000 0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R1.B.B1" 150.470000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTC.4R1.A.B1" 150.470000 0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.A.B1" 150.990000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTC.4R1.B.B1" 150.990000 0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.B.B1" 151.048000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.B1" 151.094500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.C.B1" 151.217000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.D.B1" 151.275000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R1.A.B1" 151.275000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R1.B.B1" 151.575000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R1.A.B1" 151.575000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R1.B.B1" 151.650000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R1.A.B1" 151.650000 0.194000 0.000000 0.000000 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"MBXF.4R1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TAXN.4L1" 999.000000 0.016500 0.001432 0.000000 0.000000 0.000000 0.000000 + "TAXN.4R1" 999.000000 0.172500 0.001432 0.000000 0.000000 0.000000 0.000000 + "DFXJ.4L1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "DFXJ.4R1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4R1.B1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4L1.B1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip1.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip1.b2.tfs new file mode 100644 index 000000000..2d84cfca6 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip1.b2.tfs @@ -0,0 +1,506 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L1.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF 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0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.C.B2" 71.750000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.D.B2" 72.100000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.G.B2" 72.100000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.D4R1" 74.120000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.H.B2" 76.016000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.C.B2" 76.016000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R1.D.B2" 76.366000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.I.B2" 76.366000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.E4R1" 78.386000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.J.B2" 80.282000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.E.B2" 80.282000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.F.B2" 80.632000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.K.B2" 80.632000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.F4R1" 82.652000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R1.L.B2" 84.548000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.G.B2" 84.548000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R1.H.B2" 84.898000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R1.A.B2" 84.898000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R1.B.B2" 89.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.A.B2" 89.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.B.B2" 89.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.A.B2" 89.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.A.B2" 95.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.B.B2" 95.300000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.B.B2" 95.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.C.B2" 95.700000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.D.B2" 101.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.C.B2" 101.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.D.B2" 102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.E.B2" 102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.F.B2" 107.900000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.C.B2" 108.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.G.B2" 108.300000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.D.B2" 108.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.H.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.E.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.F.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.I.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.J.B2" 120.500000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.E.B2" 120.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.K.B2" 120.900000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.F.B2" 121.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.L.B2" 126.800000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.G.B2" 126.800000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R1.H.B2" 127.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.M.B2" 127.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.N.B2" 133.100000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.G.B2" 133.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.O.B2" 133.500000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R1.H.B2" 133.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R1.P.B2" 139.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMEGB.4R1.A.B2" 139.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R1.A.B2" 139.820000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMEGB.4R1.B.B2" 139.825000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R1.B.B2" 140.112000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R1.C.B2" 141.120000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TANAR.4R1" 142.750000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R1.D.B2" 144.720000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAW.4R1.A.B2" 144.720000 -0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAW.4R1.B.B2" 145.100000 -0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTVA.4R1.B2" 145.840000 -0.180350 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAA.4R1.A.B2" 146.580000 -0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R1.A.B2" 146.780000 -0.181400 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAA.4R1.B.B2" 146.780000 -0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R1.B2" 147.520000 -0.182250 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R1.B.B2" 148.260000 -0.183100 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R1.A.B2" 148.260000 -0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R1.B.B2" 148.540000 -0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQV.4R1.A.B2" 148.540000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQV.4R1.B.B2" 150.810000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4R1.A.B2" 150.810000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.A.B2" 150.990000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4R1.B.B2" 150.990000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.B.B2" 151.048000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.B2" 151.170500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.C.B2" 151.217000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R1.D.B2" 151.275000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R1.A.B2" 151.275000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R1.B.B2" 151.575000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R1.A.B2" 151.575000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R1.B.B2" 151.650000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R1.A.B2" 151.650000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R1.B.B2" 151.910000 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"VMACC.5R1.A.B2" 173.043000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R1.B.B2" 173.343000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBM.5R1.A.B2" 173.343000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBM.5R1.B.B2" 174.238000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R1.A.B2" 174.238000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R1.B.B2" 174.538000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R1.C.B2" 174.823000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R1.D.B2" 175.123000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDG.5R1.A.B2" 175.123000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDG.5R1.B.B2" 177.857000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R1.A.B2" 177.857000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R1.B.B2" 178.157000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R1.A.B2" 178.157000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R1.B.B2" 185.157000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.5R1.A.B2" 185.157000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.5R1.B.B2" 185.557000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQL.5R1.A.B2" 185.557000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQL.5R1.B.B2" 191.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R1.A.B2" 191.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R1.B.B2" 191.707000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R1.A.B2" 191.712000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R1.A.B2" 191.792000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R1.B.B2" 191.797000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R1.B.B2" 192.052000 -0.194000 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200.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDD.6R1.A.B2" 200.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDD.6R1.B.B2" 201.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R1.A.B2" 201.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R1.B.B2" 201.717000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R1.A.B2" 201.717000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R1.B.B2" 208.717000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R1.A.B2" 208.717000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R1.B.B2" 209.017000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R1.C.B2" 209.017000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R1.D.B2" 216.017000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R1.C.B2" 216.017000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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-0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "DFXJ.4R1" 999.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4R1.B2" 999.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4L1.B2" 999.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip1.b4.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip1.b4.tfs new file mode 100644 index 000000000..2035c07cf --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip1.b4.tfs @@ -0,0 +1,481 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "S.DS.R1.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "S.DS.R1.B2" -268.904000 -0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R1.B.B2" -268.849610 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R1.A.B2" -259.414410 0.000000 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102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L1.E.B2" 102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L1.F.B2" 107.800000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L1.K.B2" 107.900000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L1.E.B2" 108.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L1.J.B2" 108.300000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L1.D.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L1.I.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L1.H.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L1.C.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L1.D.B2" 120.500000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L1.G.B2" 120.500000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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201.563000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6L1.A.B2" 201.563000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L1.C.B2" 201.563000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L1.D.B2" 202.024000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDD.6L1.A.B2" 202.024000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L1.F.B2" 202.324000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L1.C.B2" 202.324000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6L1.B.B2" 209.324000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L1.E.B2" 209.324000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L1.D.B2" 209.624000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6L1.A.B2" 209.624000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L1.B.B2" 216.624000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip2.b1.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip2.b1.tfs new file mode 100644 index 000000000..eefad8969 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip2.b1.tfs @@ -0,0 +1,507 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L2.B1" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L2.B1" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.A.B1" -268.784590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.B.B1" -259.349390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.A.B1" -259.154300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.B.B1" -257.452200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.A.B1" -257.120000 0.000000 0.000000 0.000000 0.000000 0.000000 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74.488000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.D.B1" 75.268000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.E.B1" 76.748000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.F.B1" 77.528000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R2.A.B1" 77.528000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R2.B.B1" 78.028000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWC.4R2.A.B1" 78.028000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWC.4R2.B.B1" 83.333000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4R2.A.B1" 83.333000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4R2.B.B1" 83.733000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCD.4R2.A.B1" 83.733000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCD.4R2.B.B1" 89.695000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.A.B1" 89.695000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.B.B1" 94.447000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.C.B1" 94.447000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.D.B1" 99.199000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.E.B1" 99.199000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.F.B1" 103.951000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.G.B1" 103.951000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.H.B1" 108.703000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCH.4R2.A.B1" 108.703000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCH.4R2.B.B1" 110.793000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4R2.A.B1" 110.793000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4R2.B.B1" 111.193000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.A.B1" 111.193000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.B.B1" 111.256500 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.C.B1" 111.582000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.D.B1" 111.868000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.E.B1" 112.486000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.F.B1" 112.487000 -0.152150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.G.B1" 112.768000 -0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.H.B1" 113.168000 -0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.I.B1" 113.268000 -0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "X2ZDC.4R2" 114.684500 -0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.J.B1" 116.693000 -0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R2.A.B1" 116.693000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R2.B.B1" 116.883000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLN.4R2.A.B1" 116.883000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLN.4R2.B.B1" 119.323000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R2.C.B1" 119.323000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.A.B1" 119.493000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R2.D.B1" 119.493000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.B.B1" 119.551000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.B1" 119.673500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.C.B1" 119.720000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.D.B1" 119.778000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R2.A.B1" 119.778000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R2.B.B1" 120.078000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R2.A.B1" 120.078000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R2.B.B1" 120.153000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R2.A.B1" 120.153000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R2.B.B1" 120.413000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R2.A.B1" 121.003141 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4R2.B1" 126.403000 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R2.B.B1" 131.707841 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R2.A.B1" 131.915965 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R2.B.B1" 143.996065 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.A.B1" 144.526000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.B.B1" 144.546000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5R2.A.B1" 144.546000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5R2.B.B1" 144.806000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R2.A.B1" 144.806000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R2.B.B1" 144.891000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R2.A.B1" 144.891000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R2.B.B1" 145.181000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCG.5R2.A.B1" 145.181000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCG.5R2.B.B1" 146.046000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R2.A.B1" 146.046000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R2.B.B1" 146.346000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.A.B1" 146.346000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.B.B1" 153.346000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R2.A.B1" 153.346000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R2.B.B1" 153.646000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.C.B1" 153.646000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.D.B1" 160.646000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R2.A.B1" 160.646000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R2.B.B1" 160.936000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R2.C.B1" 160.941000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R2.A.B1" 161.021000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R2.D.B1" 161.026000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R2.B.B1" 161.281000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.C.B1" 161.281000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.D.B1" 161.301000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R2.A.B1" 161.653129 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R2.B.B1" 173.442229 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.A.B1" 174.265000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.B.B1" 174.285000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R2.A.B1" 174.285000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R2.B.B1" 174.545000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R2.A.B1" 174.545000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R2.B.B1" 174.630000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6R2.A.B1" 174.630000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6R2.B.B1" 174.920000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCF.6R2.A.B1" 174.920000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCF.6R2.B.B1" 176.499000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.A.B1" 176.499000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.B.B1" 176.799000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.A.B1" 176.799000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.B.B1" 183.799000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.C.B1" 183.799000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.D.B1" 184.099000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.C.B1" 184.099000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.D.B1" 191.099000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.A.B1" 191.099000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.B.B1" 191.399000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.E.B1" 191.399000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.F.B1" 198.399000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.E.B1" 198.399000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.F.B1" 198.699000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.G.B1" 198.699000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.H.B1" 205.699000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.C.B1" 205.699000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.D.B1" 205.999000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.I.B1" 205.999000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.J.B1" 212.999000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.G.B1" 212.999000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.H.B1" 213.299000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.K.B1" 213.299000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.L.B1" 220.299000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.E.B1" 220.299000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R2.F.B1" 220.599000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQA.6R2.A.B1" 220.599000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQA.6R2.B.B1" 226.394000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R2.A.B1" 226.394000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R2.B.B1" 226.914000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R2.C.B1" 228.394000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R2.D.B1" 228.914000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQE.6R2.A.B1" 228.914000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQE.6R2.B.B1" 233.599000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.I.B1" 233.599000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.J.B1" 233.899000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R2.A.B1" 234.899000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R2.B.B1" 235.189000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R2.C.B1" 235.194000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R2.A.B1" 235.274000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R2.D.B1" 235.279000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R2.B.B1" 235.534000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.C.B1" 235.534000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.D.B1" 235.554000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.A.B1" 235.903655 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.B.B1" 246.740255 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.A.B1" 247.563000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.B.B1" 247.583000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R2.A.B1" 247.583000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R2.B.B1" 247.843000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R2.A.B1" 247.843000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R2.B.B1" 247.928000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R2.A.B1" 247.928000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R2.B.B1" 248.218000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.A.B1" 248.218000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.B.B1" 248.965000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R2.A.B1" 248.965000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R2.B.B1" 249.265000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.A.B1" 249.265000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.B.B1" 255.965000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.A.B1" 255.965000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.B.B1" 256.265000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.A.B1" 256.265000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.B.B1" 256.340000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.C.B1" 256.600000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.D.B1" 256.620000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.A.B1" 257.043900 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.B.B1" 259.246200 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.A.B1" 259.925410 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.B.B1" 269.360610 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip2.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip2.b2.tfs new file mode 100644 index 000000000..62edf3140 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip2.b2.tfs @@ -0,0 +1,496 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L2.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L2.B2" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.A.B2" -268.784590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.B.B2" -259.349390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.A.B2" -259.154300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.B.B2" -257.452200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.A.B2" -257.120000 0.000000 0.000000 0.000000 0.000000 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19.491000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLB.1R2.A.B2" 19.491000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLB.1R2.B.B2" 21.455000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.1R2.A.B2" 21.740000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.1R2.B.B2" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX2B.1R2.A.B2" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX2B.1R2.B.B2" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R2.A.B2" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R2.B.B2" 22.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R2.A.B2" 22.554408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R2.B.B2" 31.213408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R2.A.B2" 31.656574 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R2.B.B2" 44.852274 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R2.A.B2" 45.044300 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R2.B.B2" 54.763000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R2.A.B2" 54.949600 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R2.B.B2" 57.566300 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.4R2.A.B2" 57.753313 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBX.4R2" 63.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.4R2.B.B2" 68.557713 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R2.A.B2" 69.098000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R2.A.B2" 69.298000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R2.B.B2" 69.298000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R2.B2" 69.440500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R2.B.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R2.A.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R2.B.B2" 69.843000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R2.A.B2" 69.863000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAA.4R2.A.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R2.B.B2" 69.948000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAA.4R2.B.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCQ.4R2.A.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCQ.4R2.B.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.A.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.B.B2" 73.008000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.C.B2" 74.488000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.D.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.E.B2" 76.748000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R2.F.B2" 77.528000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R2.A.B2" 77.528000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R2.B.B2" 78.028000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWC.4R2.A.B2" 78.028000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWC.4R2.B.B2" 83.333000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4R2.A.B2" 83.333000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4R2.B.B2" 83.733000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCD.4R2.A.B2" 83.733000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCD.4R2.B.B2" 89.695000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.A.B2" 89.695000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.B.B2" 94.447000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.C.B2" 94.447000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.D.B2" 99.199000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.E.B2" 99.199000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.F.B2" 103.951000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.G.B2" 103.951000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGB.4R2.H.B2" 108.703000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCH.4R2.A.B2" 108.703000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCH.4R2.B.B2" 110.793000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4R2.A.B2" 110.793000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4R2.B.B2" 111.193000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.A.B2" 111.193000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.B.B2" 111.256500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.C.B2" 111.582000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.D.B2" 111.868000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.E.B2" 112.486000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.F.B2" 112.487000 0.152150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.G.B2" 112.768000 0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.H.B2" 113.168000 0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.I.B2" 113.268000 0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYB.4R2.J.B2" 116.693000 0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNP.4R2.A.B2" 116.693000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNP.4R2.B.B2" 116.973000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R2.A.B2" 116.973000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R2.A.B2" 117.493000 0.180300 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R2.B.B2" 117.493000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R2.B2" 118.233000 0.181450 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R2.B.B2" 118.973000 0.182600 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTJ.4R2.A.B2" 118.973000 0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.A.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTJ.4R2.B.B2" 119.493000 0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.B.B2" 119.551000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.B2" 119.597500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.C.B2" 119.720000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R2.D.B2" 119.778000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R2.A.B2" 119.778000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R2.B.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R2.A.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R2.B.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R2.A.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R2.B.B2" 120.413000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R2.A.B2" 121.003141 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4R2.B2" 126.403000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R2.B.B2" 131.707841 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R2.A.B2" 131.915965 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R2.B.B2" 143.996065 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.A.B2" 144.526000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.B.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R2.A.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R2.B.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R2.A.B2" 144.811000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R2.B.B2" 144.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R2.A.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R2.B.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R2.A.B2" 145.466000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACB.5R2.B.B2" 145.766000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBA.5R2.A.B2" 145.766000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBA.5R2.B.B2" 146.346000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.A.B2" 146.346000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.B.B2" 153.346000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R2.A.B2" 153.346000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R2.B.B2" 153.646000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.C.B2" 153.646000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R2.D.B2" 160.646000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R2.A.B2" 160.646000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R2.B.B2" 160.936000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R2.C.B2" 160.941000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R2.D.B2" 161.016000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R2.C.B2" 161.021000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R2.D.B2" 161.281000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.C.B2" 161.281000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R2.D.B2" 161.301000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R2.A.B2" 161.653129 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R2.B.B2" 173.442229 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.A.B2" 174.265000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.B.B2" 174.285000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R2.A.B2" 174.285000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R2.B.B2" 174.545000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.A.B2" 174.550000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.B.B2" 174.625000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R2.A.B2" 174.630000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R2.B.B2" 174.920000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCF.6R2.A.B2" 174.920000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCF.6R2.B.B2" 176.499000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.A.B2" 176.499000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.B.B2" 176.799000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.A.B2" 176.799000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.B.B2" 183.799000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.C.B2" 183.799000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.D.B2" 184.099000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.C.B2" 184.099000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.D.B2" 191.099000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.A.B2" 191.099000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.B.B2" 191.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.E.B2" 191.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.F.B2" 198.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.E.B2" 198.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.F.B2" 198.699000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.G.B2" 198.699000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.H.B2" 205.699000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.C.B2" 205.699000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.D.B2" 205.999000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.I.B2" 205.999000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.J.B2" 212.999000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.G.B2" 212.999000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.H.B2" 213.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.K.B2" 213.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.L.B2" 220.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.E.B2" 220.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.F.B2" 220.599000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQB.6R2.A.B2" 220.599000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQB.6R2.B.B2" 226.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.6R2.A.B2" 226.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.6R2.B.B2" 226.854000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQF.6R2.A.B2" 226.854000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQF.6R2.B.B2" 233.599000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.I.B2" 233.599000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.J.B2" 233.899000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R2.A.B2" 234.899000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R2.B.B2" 235.189000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.C.B2" 235.194000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.D.B2" 235.269000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R2.A.B2" 235.274000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R2.B.B2" 235.534000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.C.B2" 235.534000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.D.B2" 235.554000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.A.B2" 235.903655 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.B.B2" 246.740255 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.A.B2" 247.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.B.B2" 247.583000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R2.A.B2" 247.583000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R2.B.B2" 247.843000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.A.B2" 247.848000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.B.B2" 247.923000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.A.B2" 247.928000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.B.B2" 248.218000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.A.B2" 248.218000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.B.B2" 248.965000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R2.A.B2" 248.965000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R2.B.B2" 249.265000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.A.B2" 249.265000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.B.B2" 255.965000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R2.A.B2" 255.965000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R2.B.B2" 256.265000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.C.B2" 256.265000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.D.B2" 256.340000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.C.B2" 256.600000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.D.B2" 256.620000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.A.B2" 257.043900 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.B.B2" 259.246200 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.A.B2" 259.925410 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.B.B2" 269.360610 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip2.b4.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip2.b4.tfs new file mode 100644 index 000000000..f0127d1bc --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip2.b4.tfs @@ -0,0 +1,499 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "S.DS.R2.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "S.DS.R2.B2" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.B.B2" -269.360610 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R2.A.B2" -259.925410 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.B.B2" -259.246200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R2.A.B2" -257.043900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.D.B2" -256.620000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.C.B2" -256.600000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.D.B2" -256.340000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R2.B.B2" -256.265000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.C.B2" -256.265000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.B.B2" -255.965000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R2.A.B2" -255.965000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R2.B.B2" -249.265000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R2.A.B2" -249.265000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.B.B2" -248.965000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R2.A.B2" -248.965000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.B.B2" -248.218000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCC.7R2.A.B2" -248.218000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R2.A.B2" -247.928000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.B.B2" -247.923000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R2.A.B2" -247.848000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R2.B.B2" -247.843000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.B.B2" -247.583000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R2.A.B2" -247.583000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R2.A.B2" -247.563000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.B.B2" -246.740255 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R2.A.B2" -235.903655 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.D.B2" -235.554000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R2.B.B2" -235.534000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R2.C.B2" -235.534000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R2.A.B2" -235.274000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.D.B2" -235.269000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R2.C.B2" -235.194000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R2.B.B2" -235.189000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R2.A.B2" -234.899000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.J.B2" -233.899000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQF.6R2.B.B2" -233.599000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.I.B2" -233.599000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.6R2.B.B2" -226.854000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQF.6R2.A.B2" -226.854000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQB.6R2.B.B2" -226.454000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAA.6R2.A.B2" -226.454000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.F.B2" -220.599000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQB.6R2.A.B2" -220.599000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.L.B2" -220.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.E.B2" -220.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.H.B2" -213.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.K.B2" -213.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.J.B2" -212.999000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.G.B2" -212.999000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.D.B2" -205.999000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.I.B2" -205.999000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.H.B2" -205.699000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R2.C.B2" -205.699000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R2.F.B2" -198.699000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R2.G.B2" 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0.000000 0.000000 0.000000 + "VMAND.4L2.A.B2" 69.843000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAA.4L2.B.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L2.A.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAA.4L2.A.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCDD.4L2" 71.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L2.D.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L2.C.B2" 73.008000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L2.B.B2" 74.488000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4L2.B.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L2.A.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4L2.B.B2" 75.768000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4L2.A.B2" 75.768000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.H.B2" 76.533000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4L2.A.B2" 76.533000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4L2.D.B2" 76.933000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.G.B2" 76.933000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.F.B2" 77.233000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4L2.C.B2" 77.233000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4L2.B.B2" 77.633000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.E.B2" 77.633000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4L2.A.B2" 78.133000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4L2.B.B2" 78.740500 0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4L2.A.B2" 82.925500 0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4L2.B.B2" 83.533000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.D.B2" 84.033000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4L2.A.B2" 84.033000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4L2.B.B2" 84.433000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.C.B2" 84.433000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.B.B2" 84.733000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4L2.A.B2" 84.733000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4L2.B.B2" 85.133000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L2.A.B2" 85.133000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.A4L2" 85.433000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4L2.A.B2" 85.733000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4L2.B.B2" 85.733000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCC.4L2.B.B2" 86.133000 0.128000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMLGB.4L2.A.B2" 86.133000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.H.B2" 91.615000 0.121000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCC.4L2.A.B2" 91.615000 0.128000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.F.B2" 95.887000 0.114000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.G.B2" 95.887000 0.121000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.D.B2" 100.159000 0.107000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.E.B2" 100.159000 0.114000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.B.B2" 104.431000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.C.B2" 104.431000 0.107000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCR.4L2.B.B2" 108.703000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDGA.4L2.A.B2" 108.703000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4L2.B.B2" 110.793000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCR.4L2.A.B2" 110.793000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.J.B2" 111.193000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAR.4L2.A.B2" 111.193000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.I.B2" 111.256500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.H.B2" 111.582000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.G.B2" 111.868000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.F.B2" 112.486000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.E.B2" 112.487000 0.152150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.D.B2" 112.768000 0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.C.B2" 113.168000 0.177150 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.B.B2" 113.268000 0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L2.D.B2" 116.693000 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYD.4L2.A.B2" 116.693000 0.179500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLN.4L2.B.B2" 116.883000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L2.C.B2" 116.883000 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L2.B.B2" 119.323000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLN.4L2.A.B2" 119.323000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L2.D.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L2.A.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L2.C.B2" 119.551000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L2.B2" 119.673500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L2.B.B2" 119.720000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L2.A.B2" 119.778000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4L2.B.B2" 119.778000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L2.B.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4L2.A.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4L2.B.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L2.A.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4L2.A.B2" 120.413000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4L2.B.B2" 121.003144 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4L2.B2" 126.403000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4L2.A.B2" 131.707844 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L2.B.B2" 131.915996 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L2.A.B2" 143.996096 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5L2.B.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L2.D.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5L2.A.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L2.B.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L2.C.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L2.D.B2" 145.161000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5L2.D.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L2.C.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L2.A.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMADF.5L2.B.B2" 146.322000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5L2.C.B2" 146.322000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.P.B2" 146.622000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMADF.5L2.A.B2" 146.622000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.O.B2" 146.697000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.F.B2" 149.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.N.B2" 150.111000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.E.B2" 150.186000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.M.B2" 150.186000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.F.B2" 150.486000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.L.B2" 150.586000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.E.B2" 150.586000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.K.B2" 150.661000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.D.B2" 153.850000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.J.B2" 154.075000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.C.B2" 154.150000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.I.B2" 154.150000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.D.B2" 154.450000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.H.B2" 154.550000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.C.B2" 154.550000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.G.B2" 154.625000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.B.B2" 157.814000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.F.B2" 158.039000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5L2.A.B2" 158.114000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.E.B2" 158.114000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.B.B2" 158.414000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.D.B2" 158.514000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5L2.A.B2" 158.514000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.C.B2" 158.589000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.B.B2" 162.003000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACF.5L2.B.B2" 162.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L2.A.B2" 162.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5L2.B.B2" 162.378000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACF.5L2.A.B2" 162.378000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L2.B.B2" 163.519000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5L2.A.B2" 163.519000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L2.B.B2" 163.809000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L2.A.B2" 163.809000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5L2.B.B2" 163.894000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L2.A.B2" 163.894000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L2.B.B2" 164.154000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5L2.A.B2" 164.154000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L2.A.B2" 164.174000 0.194000 0.000000 0.000000 0.000000 -0.000180 0.000000 + "VFCDO.5L2.A.B2" 164.174000 0.194000 0.000000 0.000000 0.000000 0.000180 0.000000 + "BPMYB.5L2.B.B2" 164.512000 0.194000 0.000000 0.000000 -0.000062 -0.000180 0.000000 + "BPMYB.5L2.B2" 164.635000 0.194000 0.000000 0.000000 -0.000084 -0.000180 0.000000 + "BPMYB.5L2.A.B2" 164.680000 0.194000 0.000000 0.000000 -0.000093 -0.000180 0.000000 + "VSSG.5L2.B.B2" 164.703935 0.194000 0.000000 0.000000 -0.000097 -0.000180 0.000000 + "VSSG.5L2.B.B2" 164.703935 0.194000 0.000000 0.000000 -0.000097 0.000180 0.000000 + "MQY.A5L2.B2" 167.329000 0.194000 0.000000 0.000000 -0.000276 -0.000180 0.000000 + "MQY.B5L2.B2" 171.110000 0.194000 0.000000 0.000000 -0.000968 -0.000180 0.000000 + "MCBYV.A5L2.B2" 173.457000 0.194000 0.000000 0.000000 -0.001618 -0.000180 0.000000 + "MCBYH.5L2.B2" 174.604000 0.194000 0.000000 0.000000 -0.001828 -0.000180 0.000000 + "MCBYV.B5L2.B2" 175.750000 0.194000 0.000000 0.000000 -0.002038 -0.000180 0.000000 + "VSSG.5L2.A.B2" 176.784035 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L2.B.B2" 177.158000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L2.D.B2" 177.418000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L2.A.B2" 177.418000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6L2.B.B2" 177.503000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L2.C.B2" 177.503000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L2.D.B2" 177.773000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.H.B2" 177.793000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L2.C.B2" 177.793000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6L2.A.B2" 177.793000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.F.B2" 184.793000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.G.B2" 184.793000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDR.6L2.B.B2" 185.093000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.E.B2" 185.093000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.F.B2" 185.548000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDR.6L2.A.B2" 185.548000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAF.6L2.B.B2" 192.548000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.E.B2" 192.548000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.J.B2" 192.848000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAF.6L2.A.B2" 192.848000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.A6L2.B2" 194.923000 0.194000 0.000000 0.000000 0.010472 -0.001193 0.000000 + "VMAPB.6L2.H.B2" 196.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.I.B2" 196.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.H.B2" 197.298000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6L2.G.B2" 197.298000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.B6L2.B2" 199.373000 0.194000 0.000000 0.000000 0.005172 -0.001193 0.000000 + "VMAPB.6L2.F.B2" 201.448000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.G.B2" 201.448000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.F.B2" 201.748000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6L2.E.B2" 201.748000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.A6L2.B2" 203.823000 0.194000 0.000000 0.000000 0.009372 -0.001193 0.000000 + "VMAPB.6L2.D.B2" 205.898000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.E.B2" 205.898000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.D.B2" 206.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6L2.C.B2" 206.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.B6L2.B2" 208.273000 0.194000 0.000000 0.000000 0.004072 -0.001193 0.000000 + "VMAPB.6L2.B.B2" 210.348000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.C.B2" 210.348000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.B.B2" 210.648000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6L2.A.B2" 210.648000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.C6L2.B2" 212.723000 0.194000 0.000000 0.000000 -0.001228 -0.001193 0.000000 + "VMZAE.6L2.B.B2" 214.798000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6L2.A.B2" 214.798000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDP.6L2.B.B2" 215.098000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAE.6L2.A.B2" 215.098000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.D.B2" 220.911000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDP.6L2.A.B2" 220.911000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.D.B2" 221.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.C.B2" 221.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.B.B2" 228.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.C.B2" 228.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.B.B2" 228.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L2.A.B2" 228.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L2.B.B2" 235.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L2.A.B2" 235.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L2.B.B2" 235.801000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L2.A.B2" 235.801000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L2.B.B2" 235.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L2.A.B2" 235.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L2.B.B2" 236.146000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L2.A.B2" 236.146000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L2.A.B2" 236.166000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L2.B.B2" 236.988745 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L2.A.B2" 247.825345 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.D.B2" 248.175000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L2.B.B2" 248.195000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.C.B2" 248.195000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L2.B.B2" 248.455000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L2.A.B2" 248.455000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L2.B.B2" 248.540000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L2.A.B2" 248.540000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDO.7L2.B.B2" 248.830000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L2.A.B2" 248.830000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L2.B.B2" 249.465000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDO.7L2.A.B2" 249.465000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L2.B.B2" 249.765000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L2.A.B2" 249.765000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L2.B.B2" 256.465000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L2.A.B2" 256.465000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L2.B.B2" 256.765000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L2.A.B2" 256.765000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L2.A.B2" 256.840000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.B.B2" 257.100000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L2.A.B2" 257.120000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.B.B2" 257.452200 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L2.A.B2" 259.154300 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.B.B2" 259.349390 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L2.A.B2" 268.784590 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "E.DS.L2.B2" 269.415000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip3.b1.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip3.b1.tfs new file mode 100644 index 000000000..3317df020 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip3.b1.tfs @@ -0,0 +1,596 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L3.B1" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L3.B1" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L3.A.B1" -268.276094 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L3.B.B1" -261.209694 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L3.A.B1" -261.018300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L3.B.B1" -259.316200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.A.B1" -258.984000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.B.B1" -258.964000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L3.A.B1" -258.704000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L3.B.B1" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L3.A.B1" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L3.B.B1" -258.329000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7L3.A.B1" -258.329000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7L3.B.B1" -252.659000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.A.B1" -252.659000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.B.B1" -252.359000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQZ.7L3.A.B1" -252.359000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQZ.7L3.B.B1" -251.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7L3.A.B1" -251.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7L3.B.B1" -251.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSV.7L3.A.B1" -251.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSV.7L3.B.B1" -249.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7L3.C.B1" -249.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7L3.D.B1" -249.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQY.7L3.A.B1" -249.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQY.7L3.B.B1" -244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.C.B1" -244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.D.B1" -244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCI.7L3.A.B1" -244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCI.7L3.B.B1" -239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.A.B1" -239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.B.B1" -239.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L3.A.B1" -239.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L3.B.B1" -232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.E.B1" -232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.F.B1" -232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7L3.A.B1" -232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7L3.B.B1" -231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.A.B1" -231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.B.B1" -224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.G.B1" -224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.H.B1" -224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBY.7L3.A.B1" -224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBY.7L3.B.B1" -220.666000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.I.B1" -220.666000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.J.B1" -220.366000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.C.B1" -219.866000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.D.B1" -219.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBW.7L3.A.B1" -219.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBW.7L3.B.B1" -215.090000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.E.B1" -215.090000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L3.F.B1" -214.790000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.C.B1" -214.790000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.D.B1" -207.790000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L3.A.B1" -207.790000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L3.B.B1" -207.500000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L3.A.B1" -207.500000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L3.B.B1" -207.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L3.A.B1" -207.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L3.B.B1" -207.155000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.C.B1" -207.155000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.D.B1" -207.135000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L3.A.B1" -206.785345 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L3.B.B1" -195.948745 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L3.A.B1" -195.126000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L3.B.B1" -195.106000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L3.A.B1" -195.106000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L3.B.B1" -194.846000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L3.A.B1" -194.846000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L3.B.B1" -194.761000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L3.A.B1" -194.761000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L3.B.B1" -194.471000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDT.6L3.A.B1" -194.471000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDT.6L3.B.B1" -193.946000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L3.A.B1" -193.946000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L3.B.B1" -193.646000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.6L3.A.B1" -193.646000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.6L3.B.B1" -193.501000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.A.B1" -193.501000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.F6L3.B1" -191.466000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.B.B1" -189.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.A.B1" -189.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.B.B1" -189.266000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.C.B1" -189.266000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.E6L3.B1" -187.231000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.D.B1" -185.331000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.C.B1" -185.331000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.D.B1" -185.031000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.E.B1" -185.031000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6L3.B1" -182.996000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.F.B1" -181.096000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.A.B1" -181.096000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.B.B1" -180.796500 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSB.6L3.A.B1" -180.796500 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"VMAAF.4L3.B.B1" -9.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.C.B1" -9.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.D.B1" -2.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.A.B1" -2.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.A.B1" -2.572500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.B.B1" -2.530000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.B.B1" -2.487500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.A.B1" -2.445000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.B.B1" -2.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.E.B1" -2.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.F.B1" 4.855000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R3.A.B1" 4.855000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 + "VCELH.4R3.B.B1" 19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4R3.A.B1" 19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4R3.B.B1" 20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.A.B1" 20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.B.B1" 22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.A.B1" 22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.B.B1" 22.340000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.A.B1" 22.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.B.B1" 22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.A.B1" 22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.B.B1" 26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.A.B1" 26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.B.B1" 26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.C.B1" 26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.D.B1" 30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.A.B1" 30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.B.B1" 30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.E.B1" 30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.F.B1" 33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.C.B1" 33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.D.B1" 34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.G.B1" 34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.H.B1" 37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.E.B1" 37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R3.F.B1" 38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.I.B1" 38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.J.B1" 41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4R3.A.B1" 41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4R3.B.B1" 41.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.A.B1" 41.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.B.B1" 42.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.C.B1" 43.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.D.B1" 44.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R3.A.B1" 44.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R3.B.B1" 45.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.E.B1" 45.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R3.F.B1" 46.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4R3.C.B1" 46.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4R3.D.B1" 46.165000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.K.B1" 46.165000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.L.B1" 49.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4R3.A.B1" 49.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4R3.B.B1" 49.885000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5R3.A.B1" 50.170000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5R3.B.B1" 50.450000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R3.A.B1" 50.450000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R3.A.B1" 50.515000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R3.B.B1" 50.535000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R3.B.B1" 50.795000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSI.5R3.A.B1" 50.815000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSI.5R3.B.B1" 52.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.A.B1" 52.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.B.B1" 53.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.C.B1" 54.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.D.B1" 55.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R3.A.B1" 55.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R3.B.B1" 56.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.E.B1" 56.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.F.B1" 57.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSK.5R3.A.B1" 57.460000 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70.220000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.B.B1" 70.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.A.B1" 70.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.B.B1" 77.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.C.B1" 77.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.D.B1" 77.820000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBT.5R3.A.B1" 77.820000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBT.5R3.B.B1" 82.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R3.A.B1" 82.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R3.B.B1" 82.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5R3.C.B1" 82.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5R3.D.B1" 89.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.M.B1" 89.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.N.B1" 89.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.O.B1" 91.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.P.B1" 91.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.Q.B1" 93.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.R.B1" 93.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5R3.E.B1" 93.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5R3.F.B1" 100.700000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.E.B1" 100.700000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.F.B1" 101.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.C.B1" 101.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.D.B1" 108.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.G.B1" 108.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.H.B1" 108.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.E.B1" 108.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.F.B1" 115.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R3.A.B1" 115.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R3.A.B1" 115.557500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R3.B.B1" 115.600000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R3.B.B1" 115.642500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R3.A.B1" 115.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R3.B.B1" 115.985000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5R3.A.B1" 115.985000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5R3.B.B1" 119.768000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R3.C.B1" 119.768000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R3.D.B1" 120.068000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5R3.A.B1" 120.068000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5R3.B.B1" 120.213000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R3.A.B1" 120.213000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R3.B.B1" 122.348000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.5R3.A.B1" 122.348000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.5R3.B.B1" 122.628000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R3.A.B1" 122.628000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R3.B.B1" 124.813000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5R3.A.B1" 124.813000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5R3.B.B1" 125.013000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R3.A.B1" 125.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R3.B.B1" 125.498000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.A.B1" 125.498000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.B.B1" 129.018000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.A.B1" 129.018000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.B.B1" 129.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.C.B1" 129.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.D.B1" 132.818000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R3.A.B1" 132.818000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R3.B.B1" 133.098000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.E.B1" 133.098000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.F.B1" 136.618000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.C.B1" 136.618000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.D.B1" 136.898000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.G.B1" 136.898000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.H.B1" 140.418000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5R3.A.B1" 140.418000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5R3.B.B1" 140.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.A.B1" 140.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.B.B1" 140.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.A.B1" 140.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.B.B1" 144.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.C.B1" 144.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.D.B1" 144.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5R3.C.B1" 144.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5R3.D.B1" 145.038000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.I.B1" 145.038000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.J.B1" 148.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.E.B1" 148.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R3.F.B1" 148.838000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.K.B1" 148.838000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.L.B1" 152.358000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5R3.A.B1" 152.358000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5R3.B.B1" 152.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6R3.A.B1" 152.843000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6R3.B.B1" 153.143000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSG.6R3.A.B1" 153.143000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSG.6R3.B.B1" 154.016000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R3.A.B1" 154.016000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R3.B.B1" 154.316000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.A.B1" 154.316000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6R3.B1" 156.351000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.B.B1" 158.251000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.A.B1" 158.251000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.B.B1" 158.551000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.C.B1" 158.551000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6R3.B1" 160.586000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.D.B1" 162.486000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.C.B1" 162.486000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.D.B1" 162.786000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.E.B1" 162.786000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6R3.B1" 164.821000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.F.B1" 166.721000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.A.B1" 166.721000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.B.B1" 167.021000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTD.6R3.A.B1" 167.021000 -0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTD.6R3.B.B1" 168.923000 -0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6R3.A.B1" 168.923000 -0.012678 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6R3.B.B1" 169.222500 -0.012678 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRD.6R3.A.B1" 169.222500 -0.012362 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRD.6R3.B.B1" 174.649500 -0.012362 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R3.A.B1" 174.649500 -0.006638 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R3.B.B1" 175.049500 -0.006638 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSD.6R3.A.B1" 175.049500 -0.006217 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSD.6R3.B.B1" 177.849500 -0.006217 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6R3.A.B1" 177.849500 -0.003264 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6R3.B.B1" 178.309500 -0.003264 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCLA.6R3.B1" 179.049500 -0.004500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.A.B1" 179.789500 -0.001218 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.B.B1" 180.309500 -0.001218 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSC.6R3.A.B1" 180.309500 -0.000669 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSC.6R3.B.B1" 180.644500 -0.000669 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.C.B1" 180.644500 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.D.B1" 180.944000 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.G.B1" 180.944000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6R3.B1" 182.844000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.H.B1" 184.879000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.E.B1" 184.879000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.F.B1" 185.179000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.I.B1" 185.179000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.E6R3.B1" 187.079000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.J.B1" 189.114000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.G.B1" 189.114000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.H.B1" 189.414000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.K.B1" 189.414000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.F6R3.B1" 191.314000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.L.B1" 193.349000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAY.6R3.A.B1" 193.349000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAY.6R3.B.B1" 193.549000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R3.A.B1" 193.834000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R3.B.B1" 194.100000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R3.A.B1" 194.124000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R3.A.B1" 194.185000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R3.B.B1" 194.209000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R3.B.B1" 194.445000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R3.A.B1" 194.445000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R3.B.B1" 194.465000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R3.A.B1" 194.814655 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R3.B.B1" 205.651255 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.A.B1" 206.474000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.B.B1" 206.494000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R3.A.B1" 206.494000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R3.B.B1" 206.754000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R3.A.B1" 206.754000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R3.B.B1" 206.839000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R3.A.B1" 206.839000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R3.B.B1" 207.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.A.B1" 207.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.B.B1" 214.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.A.B1" 214.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.B.B1" 214.429000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCN.7R3.A.B1" 214.429000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCN.7R3.B.B1" 217.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.C.B1" 217.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.D.B1" 217.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.C.B1" 217.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.D.B1" 224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.A.B1" 224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.B.B1" 224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.E.B1" 224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.F.B1" 231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7R3.A.B1" 231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7R3.B.B1" 232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.C.B1" 232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.D.B1" 232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.G.B1" 232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.H.B1" 239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.E.B1" 239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7R3.F.B1" 239.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDH.7R3.A.B1" 239.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDH.7R3.B.B1" 244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.E.B1" 244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.F.B1" 244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQX.7R3.A.B1" 244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQX.7R3.B.B1" 249.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R3.A.B1" 249.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R3.B.B1" 249.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R3.C.B1" 251.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R3.D.B1" 251.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRC.7R3.A.B1" 251.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRC.7R3.B.B1" 252.979000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.G.B1" 252.979000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.H.B1" 253.279000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDK.7R3.A.B1" 253.279000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDK.7R3.B.B1" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R3.A.B1" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R3.B.B1" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.A.B1" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.B.B1" 258.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.C.B1" 258.464000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.D.B1" 258.484000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R3.A.B1" 258.907900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R3.B.B1" 261.110200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R3.A.B1" 261.786906 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R3.B.B1" 268.853306 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip3.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip3.b2.tfs new file mode 100644 index 000000000..da4aad6ce --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip3.b2.tfs @@ -0,0 +1,594 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L3.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L3.B2" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L3.A.B2" -268.276094 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L3.B.B2" -261.209694 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L3.A.B2" -261.018300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L3.B.B2" -259.316200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.A.B2" -258.984000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L3.B.B2" -258.964000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L3.A.B2" -258.704000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L3.B.B2" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7L3.A.B2" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7L3.B.B2" -258.329000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7L3.A.B2" -258.329000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7L3.B.B2" -252.659000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.A.B2" -252.659000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.B.B2" -252.359000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRA.7L3.A.B2" -252.359000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRA.7L3.B.B2" -251.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L3.A.B2" -251.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L3.B.B2" -251.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L3.C.B2" -249.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L3.D.B2" -249.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQX.7L3.A.B2" -249.195000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQX.7L3.B.B2" -244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.C.B2" -244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.D.B2" -244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCL.7L3.A.B2" -244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCL.7L3.B.B2" -240.405000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.E.B2" -240.405000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.F.B2" -240.105000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7L3.A.B2" -239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7L3.B.B2" -239.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L3.A.B2" -239.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L3.B.B2" -232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.G.B2" -232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.H.B2" -232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7L3.A.B2" -232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7L3.B.B2" -231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.A.B2" -231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7L3.B.B2" -224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L3.I.B2" 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"VMJJO.4L3.D.B2" -33.945000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.G.B2" -33.945000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.H.B2" -30.425000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L3.A.B2" -30.425000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L3.B.B2" -30.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.I.B2" -30.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.J.B2" -26.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.E.B2" -26.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.F.B2" -26.345000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.K.B2" -26.345000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.L.B2" -22.825000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L3.A.B2" -22.825000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L3.B.B2" -22.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4L3.A.B2" -22.340000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4L3.B.B2" -22.140000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L3.A.B2" -22.140000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L3.B.B2" -20.005000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L3.A.B2" -20.005000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L3.B.B2" -19.725000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L3.A.B2" -19.725000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L3.B.B2" -17.540000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4L3.A.B2" -17.540000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4L3.B.B2" -17.430000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L3.A.B2" -17.430000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L3.B.B2" -17.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.A.B2" -17.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.B.B2" -10.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L3.A.B2" -10.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L3.B.B2" -9.830000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.C.B2" -9.830000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.D.B2" -2.830000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.A.B2" -2.830000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.A.B2" -2.572500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.B.B2" -2.530000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.B.B2" -2.487500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.A.B2" -2.445000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.B.B2" -2.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.E.B2" -2.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.F.B2" 4.855000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R3.A.B2" 4.855000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R3.B.B2" 5.155000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R3.A.B2" 5.155000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R3.B.B2" 12.155000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R3.A.B2" 12.155000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R3.B.B2" 12.455000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBJ.4R3.A.B2" 12.455000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBJ.4R3.B.B2" 17.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R3.A.B2" 17.130000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R3.B.B2" 17.430000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4R3.A.B2" 17.430000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4R3.B.B2" 17.540000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R3.A.B2" 17.540000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R3.B.B2" 19.725000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R3.A.B2" 19.725000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R3.B.B2" 20.005000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.A.B2" 20.005000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.B.B2" 22.140000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.A.B2" 22.140000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.B.B2" 22.340000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.A.B2" 22.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.B.B2" 22.825000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.A.B2" 22.825000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.B.B2" 26.345000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.A.B2" 26.345000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.B.B2" 26.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.C.B2" 26.625000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.D.B2" 30.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.C.B2" 30.145000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.D.B2" 30.425000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.E.B2" 30.425000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.F.B2" 33.945000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.A.B2" 33.945000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.B.B2" 34.225000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.G.B2" 34.225000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.H.B2" 37.745000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.E.B2" 37.745000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.F.B2" 38.025000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.I.B2" 38.025000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.J.B2" 41.545000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.A.B2" 41.545000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.B.B2" 41.655000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.A.B2" 41.655000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.B.B2" 42.055000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R3.A.B2" 42.055000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R3.B.B2" 45.655000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.C.B2" 45.655000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.D.B2" 46.055000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.C.B2" 46.055000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.D.B2" 46.165000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.K.B2" 46.165000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.L.B2" 49.685000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4R3.A.B2" 49.685000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4R3.B.B2" 49.885000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5R3.A.B2" 50.170000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5R3.B.B2" 50.450000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R3.A.B2" 50.450000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R3.A.B2" 50.515000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R3.B.B2" 50.535000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R3.B.B2" 50.795000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSJ.5R3.A.B2" 50.815000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSJ.5R3.B.B2" 53.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.A.B2" 53.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.B.B2" 53.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.A.B2" 53.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.B.B2" 57.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.C.B2" 57.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.D.B2" 57.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSL.5R3.A.B2" 57.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSL.5R3.B.B2" 58.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.E.B2" 58.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.F.B2" 59.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.C.B2" 59.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.D.B2" 62.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.G.B2" 62.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.H.B2" 63.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.A.B2" 63.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.B.B2" 70.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.A.B2" 70.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.B.B2" 70.520000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.A.B2" 70.520000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.B.B2" 77.520000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.A.B2" 77.520000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.B.B2" 77.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBT.5R3.A.B2" 77.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBT.5R3.B.B2" 82.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.C.B2" 82.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.D.B2" 82.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.C.B2" 82.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.D.B2" 89.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.I.B2" 89.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.J.B2" 89.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.E.B2" 89.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R3.F.B2" 93.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.K.B2" 93.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R3.L.B2" 93.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.E.B2" 93.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.5R3.F.B2" 100.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.E.B2" 100.700000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.F.B2" 101.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.C.B2" 101.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.D.B2" 108.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.C.B2" 108.000000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R3.D.B2" 108.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.E.B2" 108.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R3.F.B2" 115.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R3.A.B2" 115.300000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R3.A.B2" 115.557500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R3.B.B2" 115.600000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R3.B.B2" 115.642500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R3.A.B2" 115.685000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R3.B.B2" 115.985000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5R3.A.B2" 115.985000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5R3.B.B2" 119.768000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.G.B2" 119.768000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R3.H.B2" 120.068000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5R3.A.B2" 120.068000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5R3.B.B2" 120.213000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R3.A.B2" 120.213000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R3.B.B2" 122.348000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.5R3.A.B2" 122.348000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.5R3.B.B2" 122.628000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R3.A.B2" 122.628000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R3.B.B2" 124.813000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5R3.A.B2" 124.813000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5R3.B.B2" 125.013000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R3.A.B2" 125.298000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R3.B.B2" 125.498000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.A.B2" 125.498000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.B.B2" 129.018000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.A.B2" 129.018000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.B.B2" 129.298000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.C.B2" 129.298000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.D.B2" 132.818000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R3.A.B2" 132.818000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R3.B.B2" 133.098000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.E.B2" 133.098000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.F.B2" 136.618000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.C.B2" 136.618000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.D.B2" 136.898000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.G.B2" 136.898000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.H.B2" 140.418000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.5R3.A.B2" 140.418000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.5R3.B.B2" 140.468000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.A.B2" 140.468000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.B.B2" 140.988000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R3.A.B2" 140.988000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R3.B.B2" 142.468000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.C.B2" 142.468000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.D.B2" 142.988000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.E.B2" 144.468000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R3.F.B2" 144.988000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.5R3.C.B2" 144.988000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.5R3.D.B2" 145.038000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.I.B2" 145.038000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.J.B2" 148.558000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.E.B2" 148.558000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R3.F.B2" 148.838000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.K.B2" 148.838000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R3.L.B2" 152.358000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5R3.A.B2" 152.358000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5R3.B.B2" 152.558000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6R3.A.B2" 152.843000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6R3.B.B2" 153.143000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSG.6R3.A.B2" 153.143000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSG.6R3.B.B2" 154.016000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R3.A.B2" 154.016000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R3.B.B2" 154.316000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.A.B2" 154.316000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6R3.B2" 156.351000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.B.B2" 158.251000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.A.B2" 158.251000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.B.B2" 158.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.C.B2" 158.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6R3.B2" 160.586000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.D.B2" 162.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.C.B2" 162.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.D.B2" 162.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.E.B2" 162.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6R3.B2" 164.821000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.F.B2" 166.721000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.A.B2" 166.721000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.B.B2" 167.021000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTA.6R3.A.B2" 167.021000 0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTA.6R3.B.B2" 167.423000 0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6R3.A.B2" 168.923000 0.012678 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6R3.B.B2" 169.222500 0.012678 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRE.6R3.A.B2" 169.222500 0.012362 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRE.6R3.B.B2" 174.589500 0.012362 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.A.B2" 174.589500 0.006702 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.B.B2" 175.109500 0.006702 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R3.A.B2" 175.109500 0.006153 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R3.B.B2" 175.789500 0.006153 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.C.B2" 175.789500 0.005436 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R3.D.B2" 176.309500 0.005436 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCP.6R3.B2" 177.049500 0.005700 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6R3.A.B2" 177.789500 0.003327 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6R3.B.B2" 178.249500 0.003327 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSU.6R3.A.B2" 178.249500 0.002842 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSU.6R3.B.B2" 180.644500 0.002842 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.C.B2" 180.644500 0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R3.D.B2" 180.944000 0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.G.B2" 180.944000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6R3.B2" 182.844000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.H.B2" 184.879000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.E.B2" 184.879000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.F.B2" 185.179000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.I.B2" 185.179000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.E6R3.B2" 187.079000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.J.B2" 189.114000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.G.B2" 189.114000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R3.H.B2" 189.414000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.K.B2" 189.414000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.F6R3.B2" 191.314000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R3.L.B2" 193.349000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAY.6R3.A.B2" 193.349000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAY.6R3.B.B2" 193.549000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R3.A.B2" 193.834000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R3.B.B2" 194.100000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R3.A.B2" 194.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R3.A.B2" 194.185000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R3.B.B2" 194.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R3.B.B2" 194.445000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R3.A.B2" 194.445000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R3.B.B2" 194.465000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R3.A.B2" 194.814655 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R3.B.B2" 205.651255 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.A.B2" 206.474000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.B.B2" 206.494000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R3.A.B2" 206.494000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R3.B.B2" 206.754000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.A.B2" 206.759000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.B.B2" 206.834000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R3.A.B2" 206.839000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R3.B.B2" 207.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.A.B2" 207.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.B.B2" 214.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.A.B2" 214.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.B.B2" 214.429000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCN.7R3.A.B2" 214.429000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCN.7R3.B.B2" 217.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.C.B2" 217.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.D.B2" 217.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.C.B2" 217.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.D.B2" 224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.A.B2" 224.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.B.B2" 224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.E.B2" 224.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.F.B2" 231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7R3.A.B2" 231.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBX.7R3.B.B2" 232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.C.B2" 232.305000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.D.B2" 232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.G.B2" 232.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R3.H.B2" 239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.E.B2" 239.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R3.F.B2" 239.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDH.7R3.A.B2" 239.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDH.7R3.B.B2" 244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.E.B2" 244.170000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.F.B2" 244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQY.7R3.A.B2" 244.470000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQY.7R3.B.B2" 249.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R3.A.B2" 249.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R3.B.B2" 249.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSV.7R3.A.B2" 249.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSV.7R3.B.B2" 251.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R3.C.B2" 251.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R3.D.B2" 251.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRB.7R3.A.B2" 251.655000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRB.7R3.B.B2" 252.979000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.G.B2" 252.979000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R3.H.B2" 253.279000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDK.7R3.A.B2" 253.279000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDK.7R3.B.B2" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R3.A.B2" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R3.B.B2" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.C.B2" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R3.D.B2" 258.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.C.B2" 258.464000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R3.D.B2" 258.484000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R3.A.B2" 258.907900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R3.B.B2" 261.110200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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"VCTNM.4R3.C.B2" -46.055000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R3.B.B2" -45.655000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.C.B2" -45.655000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.B.B2" -42.055000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R3.A.B2" -42.055000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.B.B2" -41.655000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R3.A.B2" -41.655000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.J.B2" -41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.4R3.A.B2" -41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.F.B2" -38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.I.B2" -38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.H.B2" -37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.E.B2" -37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.B.B2" -34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.G.B2" -34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.F.B2" -33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R3.A.B2" -33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.D.B2" -30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.E.B2" -30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.D.B2" -30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.C.B2" -30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.B.B2" -26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.C.B2" -26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.B.B2" -26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R3.A.B2" -26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.B.B2" -22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R3.A.B2" -22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R3.A.B2" -22.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.B.B2" -22.340000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.B.B2" -22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4R3.A.B2" -22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R3.B.B2" -20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R3.A.B2" -20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R3.B.B2" -19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R3.A.B2" -19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4R3.B.B2" 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"VCDA.4L3.F.B2" -4.855000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R3.A.B2" -4.855000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.B.B2" 2.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.E.B2" 2.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L3.A.B2" 2.445000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.B.B2" 2.487500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.B.B2" 2.530000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L3.A.B2" 2.572500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.D.B2" 2.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L3.A.B2" 2.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L3.B.B2" 9.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.C.B2" 9.830000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.B.B2" 10.130000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L3.A.B2" 10.130000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L3.B.B2" 17.130000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L3.A.B2" 17.130000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4L3.B.B2" 17.430000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L3.A.B2" 17.430000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L3.B.B2" 17.540000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.4L3.A.B2" 17.540000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L3.B.B2" 19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L3.A.B2" 19.725000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L3.B.B2" 20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L3.A.B2" 20.005000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4L3.B.B2" 22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L3.A.B2" 22.140000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.4L3.A.B2" 22.340000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L3.B.B2" 22.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.L.B2" 22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L3.A.B2" 22.825000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.F.B2" 26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.K.B2" 26.345000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.J.B2" 26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.E.B2" 26.625000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L3.B.B2" 30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.I.B2" 30.145000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.H.B2" 30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L3.A.B2" 30.425000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.D.B2" 33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.G.B2" 33.945000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.F.B2" 34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.C.B2" 34.225000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.B.B2" 37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.E.B2" 37.745000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.D.B2" 38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L3.A.B2" 38.025000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4L3.D.B2" 41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.C.B2" 41.545000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.F.B2" 41.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4L3.C.B2" 41.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.E.B2" 42.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.D.B2" 43.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L3.B.B2" 44.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.C.B2" 44.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.B.B2" 45.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L3.A.B2" 45.595000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4L3.B.B2" 46.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L3.A.B2" 46.115000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.B.B2" 46.165000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNL.4L3.A.B2" 46.165000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4L3.B.B2" 49.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L3.A.B2" 49.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.4L3.A.B2" 49.885000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5L3.B.B2" 50.170000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L3.B.B2" 50.450000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5L3.A.B2" 50.450000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5L3.B.B2" 50.515000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L3.A.B2" 50.535000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5L3.A.B2" 50.795000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSI.5L3.B.B2" 50.815000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.R.B2" 52.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSI.5L3.A.B2" 52.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.Q.B2" 53.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.P.B2" 54.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L3.D.B2" 55.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.O.B2" 55.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.N.B2" 56.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L3.C.B2" 56.940000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSK.5L3.B.B2" 57.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.M.B2" 57.460000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.L.B2" 58.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSK.5L3.A.B2" 58.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.K.B2" 59.280000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.J.B2" 60.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L3.B.B2" 61.280000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.I.B2" 61.280000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.H.B2" 62.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L3.A.B2" 62.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.F.B2" 63.280000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.G.B2" 63.280000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.F.B2" 70.220000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.E.B2" 70.220000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.F.B2" 70.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.E.B2" 70.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANB.5L3.D.B2" 77.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.E.B2" 77.520000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVSSH.5L3.B.B2" 77.820000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANB.5L3.C.B2" 77.820000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANB.5L3.B.B2" 77.905000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVSSH.5L3.A.B2" 77.905000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCJ.5L3.B.B2" 78.205000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANB.5L3.A.B2" 78.205000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L3.D.B2" 82.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCJ.5L3.A.B2" 82.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.D.B2" 82.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L3.C.B2" 82.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.F.B2" 89.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.C.B2" 89.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.E.B2" 89.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.D.B2" 91.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.C.B2" 91.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.B.B2" 93.240000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.B.B2" 93.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L3.A.B2" 93.760000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.D.B2" 100.700000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.5L3.A.B2" 100.700000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.D.B2" 101.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.C.B2" 101.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.B.B2" 108.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.C.B2" 108.000000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.B.B2" 108.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L3.A.B2" 108.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L3.B.B2" 115.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L3.A.B2" 115.300000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L3.A.B2" 115.600000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5L3.B.B2" 115.642500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L3.B.B2" 115.685000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5L3.A.B2" 115.727500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5L3.B.B2" 115.985000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L3.A.B2" 115.985000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L3.B.B2" 119.768000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCZ.5L3.A.B2" 119.768000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5L3.B.B2" 120.068000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L3.A.B2" 120.068000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5L3.B.B2" 120.213000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.5L3.A.B2" 120.213000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.5L3.B.B2" 122.348000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5L3.A.B2" 122.348000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L3.B.B2" 122.628000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.5L3.A.B2" 122.628000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5L3.B.B2" 124.813000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L3.A.B2" 124.813000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.5L3.A.B2" 125.013000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L3.B.B2" 125.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.L.B2" 125.498000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L3.A.B2" 125.498000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.F.B2" 129.018000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.K.B2" 129.018000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.J.B2" 129.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.E.B2" 129.298000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L3.B.B2" 132.818000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.I.B2" 132.818000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.H.B2" 133.098000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L3.A.B2" 133.098000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.D.B2" 136.618000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.G.B2" 136.618000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.F.B2" 136.898000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.C.B2" 136.898000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5L3.D.B2" 140.418000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.E.B2" 140.418000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L3.D.B2" 140.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5L3.C.B2" 140.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L3.B.B2" 140.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L3.C.B2" 140.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L3.B.B2" 144.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L3.A.B2" 144.528000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5L3.B.B2" 144.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L3.A.B2" 144.928000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.D.B2" 145.038000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNM.5L3.A.B2" 145.038000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.B.B2" 148.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.C.B2" 148.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.B.B2" 148.838000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L3.A.B2" 148.838000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5L3.B.B2" 152.358000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L3.A.B2" 152.358000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHIA.5L3.A.B2" 152.558000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6L3.B.B2" 152.843000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSP.6L3.B.B2" 153.143000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHCB.6L3.A.B2" 153.143000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L3.D.B2" 154.168000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSP.6L3.A.B2" 154.168000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.L.B2" 154.468000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L3.C.B2" 154.468000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6L3.B2" 156.503000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.H.B2" 158.403000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.K.B2" 158.403000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.J.B2" 158.703000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.G.B2" 158.703000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6L3.B2" 160.738000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.F.B2" 162.638000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.I.B2" 162.638000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.H.B2" 162.938000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.E.B2" 162.938000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6L3.B2" 164.973000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.D.B2" 166.873000 -0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.G.B2" 166.873000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTB.6L3.B.B2" 167.173000 -0.014420 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.C.B2" 167.173000 -0.014684 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6L3.B.B2" 168.923000 -0.012522 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTB.6L3.A.B2" 168.923000 -0.012554 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRD.6L3.B.B2" 169.222500 -0.006799 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.6L3.A.B2" 169.222500 -0.012522 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L3.B.B2" 174.649500 -0.006377 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRD.6L3.A.B2" 174.649500 -0.006799 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSD.6L3.B.B2" 175.049500 -0.003424 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L3.A.B2" 175.049500 -0.006377 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6L3.B.B2" 177.849500 -0.002939 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSD.6L3.A.B2" 177.849500 -0.003424 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.6L3.A.B2" 178.309500 -0.002939 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCLA.6L3.B2" 179.049500 -0.004600 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L3.B.B2" 179.789500 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSE.6L3.B.B2" 180.309500 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L3.A.B2" 180.309500 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.B.B2" 180.796500 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSE.6L3.A.B2" 180.796500 -0.000316 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.F.B2" 181.096000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L3.A.B2" 181.096000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6L3.B2" 182.996000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.D.B2" 185.031000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.E.B2" 185.031000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.D.B2" 185.331000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.C.B2" 185.331000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.E6L3.B2" 187.231000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.B.B2" 189.266000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.C.B2" 189.266000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.B.B2" 189.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L3.A.B2" 189.566000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.F6L3.B2" 191.466000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L3.B.B2" 193.501000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L3.A.B2" 193.501000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQT.6L3.B.B2" 193.801000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L3.A.B2" 193.801000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6L3.B.B2" 194.471000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQT.6L3.A.B2" 194.471000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6L3.A.B2" 194.761000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6L3.B.B2" 194.766000 0.000000 0.000000 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95.159000 -0.045000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.F.B1" 95.459000 -0.045000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.E.B1" 95.459000 -0.044000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.F.B1" 102.459000 -0.044000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R4.I.B1" 102.459000 -0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5R4.J.B1" 102.759000 -0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.G.B1" 102.759000 -0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.H.B1" 109.759000 -0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.G.B1" 109.759000 -0.022000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.H.B1" 110.059000 -0.022000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDY.5R4.A.B1" 110.059000 -0.021000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDY.5R4.B.B1" 115.159000 -0.021000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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"VVGSH.7R4.B.B1" 173.762000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R4.A.B1" 173.762000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R4.B.B1" 174.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFM.7R4.A.B1" 174.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFM.7R4.B.B1" 174.152000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.A.B1" 175.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.B.B1" 175.852000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFK.7R4.A.B1" 175.852000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFK.7R4.B.B1" 177.352000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.A.B1" 177.352000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.B.B1" 177.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.C.B1" 178.252000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 0.000000 0.000000 + "VMAAB.5R4.B.B2" 37.054000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.A.B2" 37.054000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.B.B2" 44.054000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.A.B2" 44.054000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.B.B2" 44.354000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.E.B2" 44.354000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWD.5R4.A.B2" 44.429000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.F.B2" 44.439000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWD.5R4.B.B2" 44.689000 0.113000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.5R4.A.B2" 46.473670 0.110600 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRS.5R4.B2" 51.783000 0.110000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.5R4.B.B2" 57.178370 0.113600 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWC.5R4.A.B2" 57.986000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWC.5R4.B.B2" 58.246000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.G.B2" 58.246000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.H.B2" 58.331000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R4.A.B2" 58.331000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R4.B.B2" 58.631000 0.109500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEC.5R4.A.B2" 58.631000 0.102000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEC.5R4.B.B2" 59.866000 0.102000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.5R4.A.B2" 59.866000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.5R4.B.B2" 60.066000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.E.B2" 60.066000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.F.B2" 60.366000 0.100000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLM.5R4.A.B2" 60.366000 0.099500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLM.5R4.B.B2" 61.216000 0.099500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.A.B2" 61.216000 0.098000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BGIV.5R4.A.B2" 61.416000 0.097900 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.B.B2" 61.416000 0.098000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BGIV.5R4.B.B2" 63.016000 0.097900 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.C.B2" 63.016000 0.095000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BGIH.5R4.A.B2" 63.216000 0.095100 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.D.B2" 63.216000 0.095000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BGIH.5R4.B.B2" 64.816000 0.095100 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.E.B2" 64.816000 0.101000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.F.B2" 65.016000 0.101000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLM.5R4.C.B2" 65.016000 0.092200 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLM.5R4.D.B2" 65.866000 0.092200 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.5R4.C.B2" 65.866000 0.090000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.5R4.D.B2" 66.066000 0.090000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.G.B2" 66.066000 0.091000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.H.B2" 66.366000 0.091000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.C.B2" 66.366000 0.090000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.D.B2" 73.366000 0.090000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.G.B2" 73.366000 0.079000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.H.B2" 73.566000 0.079000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.E.B2" 73.566000 0.079000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.F.B2" 80.566000 0.079000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.C.B2" 80.866000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.I.B2" 80.931000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.5R4.J.B2" 81.016000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.D.B2" 81.166000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFE.5R4.A.B2" 81.211000 0.067000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R4.C.B2" 81.211000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R4.D.B2" 81.471000 0.068000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFE.5R4.B.B2" 87.859000 0.067000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.I.B2" 87.859000 0.056000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.J.B2" 88.159000 0.056000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.G.B2" 88.159000 0.056000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.H.B2" 95.159000 0.056000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.C.B2" 95.159000 0.045000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.D.B2" 95.459000 0.045000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.I.B2" 95.459000 0.044000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.J.B2" 102.459000 0.044000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.K.B2" 102.459000 0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R4.L.B2" 102.759000 0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.K.B2" 102.759000 0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5R4.L.B2" 109.759000 0.033000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.E.B2" 109.759000 0.022000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R4.F.B2" 110.059000 0.022000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBH.5R4.A.B2" 110.059000 0.021000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBH.5R4.B.B2" 113.459000 0.021000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.I.B2" 113.459000 0.016000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BQSH.5R4.A.B2" 113.659000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.J.B2" 113.659000 0.016000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BQSH.5R4.B2" 114.409000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BQSH.5R4.B.B2" 115.159000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.K.B2" 115.159000 0.013000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.5R4.L.B2" 115.359000 0.013000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFT.5R4.A.B2" 115.359000 0.013000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFT.5R4.B.B2" 117.059000 0.013000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.E.B2" 117.059000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R4.F.B2" 117.349000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R4.A.B2" 117.359000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWD.5R4.C.B2" 117.434000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R4.B.B2" 117.444000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAWD.5R4.D.B2" 117.694000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.5R4.C.B2" 118.284141 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRB.5R4.B2" 123.684000 0.002250 -0.000476 0.000025 0.000000 0.000000 0.000000 + "VSSJ.5R4.D.B2" 128.988841 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5R4.A.B2" 129.183277 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5R4.B.B2" 135.268977 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R4.A.B2" 135.797000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R4.B.B2" 135.817000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R4.A.B2" 135.817000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R4.B.B2" 136.077000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R4.A.B2" 136.082000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R4.B.B2" 136.157000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R4.A.B2" 136.162000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R4.B.B2" 136.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.6R4.A.B2" 136.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.6R4.B.B2" 136.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.A.B2" 137.252000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.B.B2" 137.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFU.6R4.A.B2" 137.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFU.6R4.B.B2" 139.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.C.B2" 139.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.D.B2" 139.852000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.E.B2" 141.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.F.B2" 141.252000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFU.6R4.C.B2" 141.252000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFU.6R4.D.B2" 143.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R4.A.B2" 143.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R4.B.B2" 143.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R4.A.B2" 143.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R4.B.B2" 150.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.G.B2" 150.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.H.B2" 150.952000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.I.B2" 151.552000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.J.B2" 151.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFV.6R4.A.B2" 151.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFV.6R4.B.B2" 152.488000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.K.B2" 152.488000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.L.B2" 152.668000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFW.6R4.A.B2" 152.668000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFW.6R4.B.B2" 154.408000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.M.B2" 154.408000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.N.B2" 154.588000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.O.B2" 156.328000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.P.B2" 156.508000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.Q.B2" 158.248000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.R.B2" 158.428000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFX.6R4.A.B2" 158.428000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFX.6R4.B.B2" 162.488000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R4.C.B2" 162.488000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R4.D.B2" 162.788000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFJ.6R4.A.B2" 162.788000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFJ.6R4.B.B2" 164.188000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.S.B2" 164.188000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R4.T.B2" 164.388000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.6R4.C.B2" 165.588000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDS.6R4.D.B2" 165.788000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R4.A.B2" 165.788000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R4.B.B2" 166.078000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R4.C.B2" 166.083000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R4.D.B2" 166.158000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R4.A.B2" 166.163000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R4.B.B2" 166.423000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R4.C.B2" 166.423000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R4.D.B2" 166.443000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.6R4.A.B2" 166.971026 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.6R4.B.B2" 173.056726 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R4.A.B2" 173.397000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R4.B.B2" 173.417000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R4.A.B2" 173.417000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R4.B.B2" 173.677000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R4.A.B2" 173.682000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R4.B.B2" 173.757000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R4.A.B2" 173.762000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R4.B.B2" 174.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFT.7R4.A.B2" 174.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFT.7R4.B.B2" 175.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.A.B2" 175.752000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.B.B2" 175.952000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.C.B2" 177.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.7R4.D.B2" 177.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCM.7R4.A.B2" 177.652000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCM.7R4.B.B2" 178.452000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEI.7R4.A.B2" 179.052000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEI.7R4.B.B2" 179.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.A.B2" 179.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.B.B2" 179.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.A.B2" 179.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.B.B2" 186.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.A.B2" 186.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.B.B2" 187.215000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.C.B2" 187.215000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.D.B2" 194.215000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.C.B2" 194.215000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.D.B2" 194.515000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.E.B2" 194.515000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.F.B2" 201.515000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.C.B2" 201.515000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.D.B2" 201.815000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.G.B2" 201.815000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.H.B2" 208.815000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.E.B2" 208.815000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.F.B2" 209.115000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.I.B2" 209.115000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.J.B2" 216.115000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.E.B2" 216.115000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.F.B2" 216.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.K.B2" 216.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.L.B2" 223.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.G.B2" 223.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.H.B2" 223.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.M.B2" 223.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.N.B2" 230.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.G.B2" 230.715000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R4.H.B2" 231.015000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.O.B2" 231.015000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.P.B2" 238.015000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.I.B2" 238.015000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.J.B2" 238.315000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.Q.B2" 238.315000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.R.B2" 245.315000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.K.B2" 245.315000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.L.B2" 245.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.S.B2" 245.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R4.T.B2" 252.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.M.B2" 252.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R4.N.B2" 252.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R4.A.B2" 252.915000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R4.B.B2" 259.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R4.A.B2" 259.615000 0.000000 0.000000 0.000000 0.000000 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b/examples/aperture_model/benchmark1/offsets/offset.ip4.b4.tfs @@ -0,0 +1,549 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "S.DS.R4.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "S.DS.R4.B2" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R4.B.B2" -269.367606 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R4.A.B2" -263.572906 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R4.B.B2" -262.896200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R4.A.B2" -260.693900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R4.D.B2" -260.270000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R4.C.B2" -260.250000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R4.D.B2" -259.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R4.B.B2" -259.915000 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-21.150000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.1L5.D.B1" -21.130000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5B.1L5.A.B1" -19.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5B.1L5.B.B1" -18.500000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5A.1L5.A.B1" -16.380000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5A.1L5.B.B1" -16.068000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1L5.A.B1" -10.715000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1L5.B.B1" -10.541000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1L5.C.B1" -3.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5C.1L5.A.B1" -3.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5C.1L5.B.B1" -1.948000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5C.1L5.C.B1" 1.948000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5C.1L5.D.B1" 3.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1R5.A.B1" 3.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1R5.B.B1" 10.541000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC5E.1R5.C.B1" 10.715000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5A.1R5.A.B1" 16.068000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5A.1R5.B.B1" 16.380000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5B.1R5.A.B1" 18.500000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX5B.1R5.B.B1" 19.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.1R5.A.B1" 21.130000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.1R5.B.B1" 21.150000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.1R5.A.B1" 21.150000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.1R5.B.B1" 21.225000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX.1R5.A.B1" 21.225000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VBX.1R5.B.B1" 21.330000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.1R5.C.B1" 21.615000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.1R5.D.B1" 21.635000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABB.1R5.A.B1" 21.635000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABB.1R5.B.B1" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX5B.1R5.A.B1" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX5B.1R5.B.B1" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R5.A.B1" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R5.B.B1" 22.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R5.A.B1" 22.554408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R5.B.B1" 31.213408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R5.A.B1" 31.656574 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R5.B.B1" 44.852274 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R5.A.B1" 45.044300 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R5.B.B1" 54.763000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R5.A.B1" 54.949600 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R5.B.B1" 57.639100 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R5.A.B1" 57.972000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R5.B.B1" 58.172000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R5.A.B1" 58.457000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R5.B.B1" 58.717000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R5.A.B1" 58.737000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R5.A.B1" 58.802000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R5.B.B1" 58.822000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R5.B.B1" 59.102000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNC.4R5.A.B1" 59.102000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNC.4R5.B.B1" 59.302000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.A.B1" 59.302000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.B.B1" 63.218000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.A.B1" 63.218000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.B.B1" 63.568000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.C.B1" 63.568000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.B4R5" 65.588000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.D.B1" 67.484000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R5.A.B1" 67.484000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R5.B.B1" 67.834000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.E.B1" 67.834000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.C4R5" 69.854000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.F.B1" 71.750000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.C.B1" 71.750000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.D.B1" 72.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.G.B1" 72.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.D4R5" 74.120000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.H.B1" 76.016000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R5.C.B1" 76.016000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R5.D.B1" 76.366000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.I.B1" 76.366000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.E4R5" 78.386000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.J.B1" 80.282000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.E.B1" 80.282000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.F.B1" 80.632000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.K.B1" 80.632000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.F4R5" 82.652000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.L.B1" 84.548000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.G.B1" 84.548000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.H.B1" 84.898000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R5.A.B1" 84.898000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R5.B.B1" 89.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.A.B1" 89.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.B.B1" 89.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.A.B1" 89.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.B.B1" 95.300000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.A.B1" 95.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.C.B1" 95.700000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.B.B1" 95.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.D.B1" 101.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.C.B1" 101.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.D.B1" 102.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.E.B1" 102.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.F.B1" 107.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.C.B1" 108.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.G.B1" 108.300000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.D.B1" 108.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.H.B1" 114.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.E.B1" 114.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.F.B1" 114.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.I.B1" 114.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.J.B1" 120.500000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.E.B1" 120.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.K.B1" 120.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.F.B1" 121.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.L.B1" 126.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.G.B1" 126.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R5.H.B1" 127.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.M.B1" 127.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.N.B1" 133.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.G.B1" 133.200000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.O.B1" 133.500000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R5.H.B1" 133.600000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R5.P.B1" 139.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMEGB.4R5.A.B1" 139.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R5.A.B1" 139.820000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMEGB.4R5.B.B1" 139.825000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R5.B.B1" 140.112000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R5.C.B1" 141.120000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TANC.4R5" 142.750000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4R5.D.B1" 144.720000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4R5.A.B1" 144.720000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4R5.B.B1" 144.870000 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R5.A.B1" 144.870000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4R5.B.B1" 145.149500 0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQR.4R5.A.B1" 145.149500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQR.4R5.B.B1" 146.637500 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4R5.A.B1" 146.637500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4R5.B.B1" 146.722500 0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQN.4R5.A.B1" 146.722500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQN.4R5.B.B1" 148.350500 0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAF.4R5.A.B1" 148.350500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAF.4R5.B.B1" 148.630500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4R5.A.B1" 148.679000 0.183530 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.A4R5.B1" 148.719000 0.183550 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4R5.B.B1" 148.759000 0.183530 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPV.A4R5.B1" 148.944000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPH.A4R5.B1" 149.393000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R5.A.B1" 149.560000 0.185000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R5.B.B1" 149.860000 0.185000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPH.B4R5.B1" 150.027000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPV.B4R5.B1" 150.476000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4R5.C.B1" 150.661000 0.184920 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.B4R5.B1" 150.701000 0.184900 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4R5.D.B1" 150.741000 0.184920 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACA.4R5.A.B1" 150.790000 0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R5.A.B1" 150.990000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACA.4R5.B.B1" 150.990000 0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R5.B.B1" 151.048000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R5.B1" 151.094500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R5.C.B1" 151.217000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R5.D.B1" 151.275000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R5.A.B1" 151.275000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4R5.B.B1" 151.575000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R5.A.B1" 151.575000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R5.B.B1" 151.650000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R5.A.B1" 151.650000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R5.B.B1" 151.910000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4R5.A.B1" 151.910000 0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4R5.B.B1" 151.930000 0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R5.A.B1" 152.500141 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4R5.B1" 157.900000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R5.B.B1" 163.204841 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R5.A.B1" 163.404953 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R5.B.B1" 172.158753 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R5.A.B1" 172.688000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R5.B.B1" 172.708000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R5.A.B1" 172.708000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R5.B.B1" 172.968000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R5.A.B1" 172.968000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R5.B.B1" 173.043000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5R5.A.B1" 173.043000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5R5.B.B1" 173.343000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLB.5R5.A.B1" 173.343000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLB.5R5.B.B1" 175.323000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.A.B1" 175.323000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.B.B1" 175.623000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5R5.A.B1" 175.623000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5R5.B.B1" 176.553000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.C.B1" 176.553000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.D.B1" 176.853000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLA.5R5.A.B1" 176.853000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLA.5R5.B.B1" 179.583000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.E.B1" 179.583000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R5.F.B1" 179.883000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5R5.C.B1" 179.883000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5R5.D.B1" 180.813000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R5.A.B1" 180.813000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5R5.B.B1" 181.113000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRR.5R5.A.B1" 181.113000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRR.5R5.B.B1" 183.004000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R5.A.B1" 183.004000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R5.B.B1" 183.524000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R5.C.B1" 185.004000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R5.D.B1" 185.524000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQK.5R5.A.B1" 185.524000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQK.5R5.B.B1" 192.024000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R5.A.B1" 192.024000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R5.B.B1" 192.324000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R5.C.B1" 192.324000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R5.D.B1" 192.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R5.A.B1" 192.399000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R5.B.B1" 192.659000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R5.C.B1" 192.659000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R5.D.B1" 192.679000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R5.A.B1" 193.499900 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5R5.B.B1" 200.566300 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R5.A.B1" 200.908000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R5.B.B1" 200.928000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R5.A.B1" 200.928000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R5.B.B1" 201.188000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R5.A.B1" 201.193000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R5.B.B1" 201.268000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R5.A.B1" 201.273000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R5.B.B1" 201.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R5.A.B1" 201.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R5.B.B1" 208.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R5.A.B1" 208.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R5.B.B1" 208.863000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLJ.6R5.A.B1" 208.863000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLJ.6R5.B.B1" 214.014000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.A.B1" 214.014000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.B.B1" 214.314000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.C.B1" 215.244000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.D.B1" 215.544000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLG.6R5.A.B1" 215.544000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLG.6R5.B.B1" 219.084000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.E.B1" 219.084000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.F.B1" 219.384000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.G.B1" 220.314000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R5.H.B1" 220.614000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLK.6R5.A.B1" 220.614000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLK.6R5.B.B1" 223.924000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R5.A.B1" 223.924000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R5.B.B1" 224.224000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R5.C.B1" 224.224000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R5.D.B1" 224.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R5.A.B1" 224.299000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R5.B.B1" 224.559000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R5.C.B1" 224.559000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R5.D.B1" 224.579000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R5.A.B1" 225.399906 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R5.B.B1" 232.466306 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R5.A.B1" 232.808000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R5.B.B1" 232.828000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R5.A.B1" 232.828000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R5.B.B1" 233.088000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R5.A.B1" 233.093000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R5.B.B1" 233.168000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R5.A.B1" 233.173000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R5.B.B1" 233.463000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCJ.7R5.A.B1" 233.463000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCJ.7R5.B.B1" 237.258000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.A.B1" 237.258000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.B.B1" 237.558000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFS.7R5.A.B1" 237.558000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFS.7R5.B.B1" 241.108000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.C.B1" 241.108000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.D.B1" 241.408000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFO.7R5.A.B1" 241.408000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFO.7R5.B.B1" 245.743000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R5.A.B1" 245.743000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R5.B.B1" 246.043000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLH.7R5.A.B1" 246.043000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLH.7R5.B.B1" 249.484000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.E.B1" 249.484000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R5.F.B1" 249.784000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R5.A.B1" 249.784000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R5.B.B1" 255.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R5.A.B1" 255.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R5.B.B1" 255.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R5.C.B1" 255.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R5.D.B1" 255.829000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R5.C.B1" 256.089000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R5.D.B1" 256.109000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R5.A.B1" 256.532900 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R5.B.B1" 258.735200 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R5.A.B1" 259.414410 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R5.B.B1" 268.849610 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MCBRDH.4L5.B1" 999.000000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MCBRDH.4R5.B1" 999.000000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MCBRDV.4L5.B1" 999.000000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MCBRDV.4R5.B1" 999.000000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRD.4L5.B1" -147.900000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRD.4R5.B1" 147.900000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBRDA.4L5.B1" -147.900000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBRDA.4R5.B1" 147.900000 0.191000 0.000000 0.000000 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"TAXN.4L5" 999.000000 0.016500 0.001432 0.000000 0.000000 0.000000 0.000000 + "TAXN.4R5" 999.000000 0.172500 0.001432 0.000000 0.000000 0.000000 0.000000 + "DFXJ.4L5" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "DFXJ.4R5" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4R5.B1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSQW.4L5.B1" 999.000000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip5.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip5.b2.tfs new file mode 100644 index 000000000..4f5483ebe --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip5.b2.tfs @@ -0,0 +1,554 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L5.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L5.B2" -268.904000 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0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKG.4R5.D.B2" 76.366000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.I.B2" 76.366000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.E4R5" 78.386000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.J.B2" 80.282000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.E.B2" 80.282000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.F.B2" 80.632000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.K.B2" 80.632000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBXW.F4R5" 82.652000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELB.4R5.L.B2" 84.548000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.G.B2" 84.548000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMCKB.4R5.H.B2" 84.898000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNB.4R5.A.B2" 84.898000 -0.097000 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0.000000 0.000000 0.000000 + "VCDW.4L5.L.B2" 102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L5.E.B2" 102.000000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L5.F.B2" 107.800000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L5.K.B2" 107.900000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L5.E.B2" 108.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L5.J.B2" 108.300000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L5.D.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L5.I.B2" 114.200000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L5.H.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L5.C.B2" 114.600000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L5.D.B2" 120.500000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L5.G.B2" 120.500000 -0.097000 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139.400000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMEGA.4L5.A.B2" 139.800000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4L5.D.B2" 139.820000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4L5.C.B2" 140.112000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4L5.B.B2" 141.120000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TANC.4L5" 142.750000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4L5.B.B2" 144.720000 -0.179000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYF.4L5.A.B2" 144.720000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L5.B.B2" 144.870000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCJ.4L5.A.B2" 144.870000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQR.4L5.B.B2" 145.149500 -0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.4L5.A.B2" 145.149500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4L5.B.B2" 146.637500 -0.181000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQR.4L5.A.B2" 146.637500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQN.4L5.B.B2" 146.722500 -0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4L5.A.B2" 146.722500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAE.4L5.B.B2" 148.350000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQN.4L5.A.B2" 148.350500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAE.4L5.A.B2" 148.630000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4L5.D.B2" 148.679000 -0.184580 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.A4L5.B2" 148.719000 -0.184600 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4L5.C.B2" 148.759000 -0.184580 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPV.A4L5.B2" 148.944000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPH.A4L5.B2" 149.393000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L5.B.B2" 149.560000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L5.A.B2" 149.860000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPH.B4L5.B2" 150.027000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "XRPV.B4L5.B2" 150.476000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4L5.B.B2" 150.661000 -0.185970 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.B4L5.B2" 150.701000 -0.185950 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWT.4L5.A.B2" 150.741000 -0.185970 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACA.4L5.B.B2" 150.790000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L5.D.B2" 150.990000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACA.4L5.A.B2" 150.990000 -0.186000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L5.C.B2" 151.048000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L5.B2" 151.170500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L5.B.B2" 151.217000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L5.A.B2" 151.275000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4L5.B.B2" 151.275000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L5.B.B2" 151.575000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4L5.A.B2" 151.575000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4L5.B.B2" 151.650000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L5.A.B2" 151.650000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4L5.B.B2" 151.910000 -0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4L5.A.B2" 151.910000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4L5.A.B2" 151.930000 -0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4L5.B.B2" 152.500144 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4L5.B2" 157.900000 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"VMACC.5L5.A.B2" 173.343000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.F.B2" 175.323000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLB.5L5.A.B2" 175.323000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5L5.D.B2" 175.623000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.E.B2" 175.623000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.D.B2" 176.553000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5L5.C.B2" 176.553000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLA.5L5.B.B2" 176.853000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.C.B2" 176.853000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.B.B2" 179.583000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLA.5L5.A.B2" 179.583000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5L5.B.B2" 179.883000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L5.A.B2" 179.883000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L5.B.B2" 180.813000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLI.5L5.A.B2" 180.813000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRQ.5L5.B.B2" 181.113000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.5L5.A.B2" 181.113000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L5.D.B2" 183.097000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRQ.5L5.A.B2" 183.097000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L5.C.B2" 183.617000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L5.B.B2" 185.097000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRN.5L5.B.B2" 185.617000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L5.A.B2" 185.617000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5L5.B.B2" 191.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRN.5L5.A.B2" 191.417000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5L5.A.B2" 191.707000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L5.B.B2" 191.712000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L5.A.B2" 191.787000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5L5.B.B2" 191.792000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L5.B.B2" 192.052000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5L5.A.B2" 192.052000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L5.A.B2" 192.072000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L5.B.B2" 192.413700 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L5.A.B2" 199.480100 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L5.D.B2" 200.301000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6L5.B.B2" 200.321000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L5.C.B2" 200.321000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6L5.D.B2" 200.581000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6L5.A.B2" 200.581000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6L5.B.B2" 200.656000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6L5.C.B2" 200.656000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L5.B.B2" 200.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6L5.A.B2" 200.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6L5.B.B2" 207.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L5.A.B2" 207.956000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLE.6L5.B.B2" 208.256000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6L5.A.B2" 208.256000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.H.B2" 214.014000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLE.6L5.A.B2" 214.014000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.G.B2" 214.314000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.F.B2" 215.244000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLG.6L5.B.B2" 215.544000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.E.B2" 215.544000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.D.B2" 219.084000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLG.6L5.A.B2" 219.084000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.C.B2" 219.384000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.B.B2" 220.314000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLD.6L5.B.B2" 220.614000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L5.A.B2" 220.614000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6L5.B.B2" 223.317000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLD.6L5.A.B2" 223.317000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6L5.A.B2" 223.607000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6L5.B.B2" 223.612000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6L5.A.B2" 223.687000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6L5.B.B2" 223.692000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L5.B.B2" 223.952000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6L5.A.B2" 223.952000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L5.A.B2" 223.972000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L5.B.B2" 224.313706 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L5.A.B2" 231.380106 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L5.D.B2" 232.201000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.7L5.B.B2" 232.221000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L5.C.B2" 232.221000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L5.D.B2" 232.481000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.7L5.A.B2" 232.481000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L5.B.B2" 232.556000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L5.C.B2" 232.556000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFY.7L5.B.B2" 232.856000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L5.A.B2" 232.856000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L5.F.B2" 237.651000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFY.7L5.A.B2" 237.651000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFS.7L5.B.B2" 237.951000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L5.E.B2" 237.951000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L5.D.B2" 241.501000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFS.7L5.A.B2" 241.501000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFO.7L5.B.B2" 241.801000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L5.C.B2" 241.801000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7L5.B.B2" 246.136000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFO.7L5.A.B2" 246.136000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEY.7L5.B.B2" 246.436000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.7L5.A.B2" 246.436000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L5.B.B2" 250.354000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEY.7L5.A.B2" 250.354000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCK.7L5.B.B2" 250.654000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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0.000000 0.000000 + "E.DS.L5.B2" 268.904000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip6.b1.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip6.b1.tfs new file mode 100644 index 000000000..1357c1f0e --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip6.b1.tfs @@ -0,0 +1,516 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L6.B1" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L6.B1" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.A.B1" -268.784590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.B.B1" -259.349390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5L6.A.B1" -259.152700 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLM.5L6.A.B1" -257.120000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 + "MSDC.D4R6.B1" 29.460000 0.003400 0.000240 0.000000 0.000000 0.000000 0.000000 + "VAMSU.4R6.G.B1" 31.765000 0.004000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSU.4R6.H.B1" 32.065000 0.004000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSDC.E4R6.B1" 34.370000 0.004600 0.000240 0.000000 0.000000 0.000000 0.000000 + "VMSDU.4R6.A.B1" 36.675000 0.006000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMSDU.4R6.B.B1" 36.975000 0.006000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYE.4R6.A.B1" 36.975000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYE.4R6.B.B1" 43.975000 0.046600 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R6.A.B1" 43.975000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R6.B.B1" 44.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDL.4R6.A.B1" 44.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDL.4R6.B.B1" 45.860000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 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"VMZAD.4R6.C.B1" 80.284000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.D.B1" 80.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.E.B1" 80.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.F.B1" 87.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.E.B1" 87.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.F.B1" 87.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.G.B1" 87.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.H.B1" 94.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4R6.E.B1" 94.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4R6.F.B1" 95.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.I.B1" 95.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4R6.J.B1" 102.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4R6.G.B1" 102.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4R6.H.B1" 102.684000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4R6.A.B1" 102.684000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4R6.B.B1" 102.834000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R6.A.B1" 102.834000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R6.B.B1" 102.919000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4R6.C.B1" 102.919000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4R6.D.B1" 103.069000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.G.B1" 103.069000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.H.B1" 103.419000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVD.4R6.A.B1" 103.419000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVD.4R6.B.B1" 109.662000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.I.B1" 109.662000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4R6.J.B1" 110.012000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.A.B1" 110.012000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.B.B1" 110.034000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJA.4R6.A.B1" 110.034000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJA.4R6.B.B1" 114.546000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.C.B1" 114.546000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.D.B1" 114.568000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.A.B1" 114.568000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.B.B1" 114.774000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.E.B1" 114.774000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.F.B1" 114.796000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJA.4R6.C.B1" 114.796000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJA.4R6.D.B1" 119.308000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.G.B1" 119.308000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.H.B1" 119.330000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.C.B1" 119.330000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.D.B1" 119.536000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.I.B1" 119.536000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.J.B1" 119.558000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJB.4R6.A.B1" 119.558000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJB.4R6.B.B1" 123.564000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.K.B1" 123.564000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.L.B1" 123.586000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.E.B1" 123.586000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.F.B1" 123.792000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.M.B1" 123.792000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.N.B1" 123.814000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJB.4R6.C.B1" 123.814000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJB.4R6.D.B1" 127.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.O.B1" 127.820000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.P.B1" 127.842000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.G.B1" 127.842000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAM.4R6.H.B1" 128.048000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.Q.B1" 128.048000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDQ.4R6.R.B1" 128.070000 0.015000 0.000000 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252.245000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDMA.5R6.B.B1" 252.795000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R6.E.B1" 252.795000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R6.F.B1" 253.095000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDMB.5R6.A.B1" 253.095000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDMB.5R6.B.B1" 259.545000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R6.G.B1" 259.545000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5R6.H.B1" 259.845000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDED.5R6.A.B1" 259.845000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDED.5R6.B.B1" 266.085000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R6.A.B1" 266.085000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R6.B.B1" 266.385000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R6.C.B1" 266.385000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R6.D.B1" 266.460000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R6.E.B1" 266.720000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R6.F.B1" 266.740000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5R6.C.B1" 267.165500 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5R6.D.B1" 269.866500 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip6.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip6.b2.tfs new file mode 100644 index 000000000..096c19c31 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip6.b2.tfs @@ -0,0 +1,516 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L6.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L6.B2" -269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.A.B2" -268.784590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.B.B2" -259.349390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5L6.A.B2" -259.152700 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLM.5L6.A.B2" -257.120000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5L6.B.B2" -256.971900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLM.5L6.B.B2" -256.890000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L6.A.B2" -256.890000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L6.B.B2" -256.870000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABB.5L6.A.B2" -256.870000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L6.A.B2" -256.610000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABB.5L6.B.B2" -256.590000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5L6.B.B2" -256.535000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5L6.A.B2" -256.535000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5L6.B.B2" -256.235000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDW.5L6.A.B2" -256.065000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDW.5L6.B.B2" -250.045000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L6.A.B2" -250.045000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L6.B.B2" -249.745000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L6.A.B2" -249.745000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L6.B.B2" -242.745000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L6.C.B2" -242.745000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L6.D.B2" -242.445000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L6.C.B2" -242.445000 0.000000 0.000000 0.000000 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0.000000 + "VAMSW.4L6.C.B2" -2.605000 -0.002000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSW.4L6.D.B2" -2.305000 -0.002000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSDB2.4L6.B2" -1.022000 -0.001400 -0.000202 0.000000 0.000000 0.000000 0.000000 + "MSDB2.4R6.B2" 1.022000 -0.001000 -0.000202 0.000000 0.000000 0.000000 0.000000 + "VAMSW.4R6.A.B2" 2.305000 -0.001000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSW.4R6.B.B2" 2.605000 -0.001000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSDB.A4R6.B2" 4.910000 0.000000 -0.000202 0.000000 0.000000 0.000000 0.000000 + "VAMSW.4R6.C.B2" 7.215000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSW.4R6.D.B2" 7.515000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSDB.B4R6.B2" 9.820000 0.001000 -0.000202 0.000000 0.000000 0.000000 0.000000 + "VAMSX.4R6.A.B2" 12.125000 0.001000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSX.4R6.B.B2" 12.425000 0.001000 0.000000 0.000000 0.000000 0.000000 0.000000 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"MSDA.E4R6.B2" 34.370000 0.002800 -0.000202 0.000000 0.000000 0.000000 0.000000 + "VMSDO.4R6.A.B2" 36.675000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMSDO.4R6.B.B2" 36.975000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCZ.4R6.A.B2" 36.975000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCZ.4R6.B.B2" 37.175000 0.003000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAT.4R6.A.B2" 40.475000 -0.026000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAT.4R6.B.B2" 40.725000 -0.026000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAU.4R6.A.B2" 44.025000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAU.4R6.B.B2" 44.325000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAV.4R6.A.B2" 44.825000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAV.4R6.B.B2" 45.125000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.A.B2" 45.410000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 + "VMZAH.4R6.B.B2" 53.110000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.A.B2" 53.110000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.B.B2" 60.110000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.C.B2" 60.110000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.D.B2" 60.460000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIE.4R6.A.B2" 60.460000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIE.4R6.B.B2" 65.550000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.E.B2" 65.550000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.F.B2" 65.900000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.C.B2" 65.900000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.D.B2" 72.900000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.G.B2" 72.900000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.H.B2" 73.250000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.E.B2" 73.250000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.F.B2" 80.250000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.E.B2" 80.250000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.F.B2" 80.600000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.G.B2" 80.600000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.H.B2" 87.600000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.G.B2" 87.600000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.H.B2" 87.950000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.I.B2" 87.950000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.J.B2" 94.950000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.I.B2" 94.950000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.J.B2" 95.300000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.K.B2" 95.300000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.L.B2" 102.300000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.K.B2" 102.300000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.L.B2" 102.650000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.M.B2" 102.650000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.N.B2" 109.650000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.I.B2" 109.650000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.J.B2" 110.000000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIC.4R6.A.B2" 110.000000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIC.4R6.B.B2" 114.512000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.A.B2" 114.512000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.B.B2" 114.762000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIC.4R6.C.B2" 114.762000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIC.4R6.D.B2" 119.274000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.C.B2" 119.274000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.D.B2" 119.524000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.A.B2" 119.524000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.B.B2" 123.530000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.E.B2" 123.530000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.F.B2" 123.780000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.C.B2" 123.780000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.D.B2" 127.786000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.G.B2" 127.786000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAN.4R6.H.B2" 128.036000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.E.B2" 128.036000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDID.4R6.F.B2" 132.042000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.K.B2" 132.042000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAK.4R6.L.B2" 132.392000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.O.B2" 132.392000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIA.4R6.P.B2" 139.392000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.M.B2" 139.392000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4R6.N.B2" 139.742000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIB.4R6.A.B2" 139.742000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDIB.4R6.B.B2" 141.000000 -0.025000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCU.4R6.A.B2" 141.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCU.4R6.B.B2" 141.500000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R6.A.B2" 141.500000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R6.B.B2" 141.800000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R6.A.B2" 142.085000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R6.B.B2" 142.385000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R6.C.B2" 142.670000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R6.D.B2" 142.970000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCB.4R6.A.B2" 142.970000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCB.4R6.B.B2" 144.690000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R6.C.B2" 144.690000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R6.D.B2" 144.990000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 + "VCDVB.4L6.J.B2" 73.284000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4L6.E.B2" 73.284000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4L6.D.B2" 80.284000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.I.B2" 80.284000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.H.B2" 80.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4L6.C.B2" 80.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.L.B2" 87.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.G.B2" 87.634000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.F.B2" 87.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.K.B2" 87.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.J.B2" 94.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.E.B2" 94.984000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.D.B2" 95.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.I.B2" 95.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4L6.B.B2" 102.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVB.4L6.C.B2" 102.334000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4L6.D.B2" 102.684000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAG.4L6.A.B2" 102.684000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L6.B.B2" 102.834000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4L6.C.B2" 102.834000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4L6.B.B2" 102.919000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L6.A.B2" 102.919000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.H.B2" 103.069000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJD.4L6.A.B2" 103.069000 0.015000 0.000000 0.000000 0.000000 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0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVC.4L6.B.B2" 139.798000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAD.4L6.A.B2" 139.798000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCA.4L6.B.B2" 142.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDVC.4L6.A.B2" 142.220000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.F.B2" 142.620000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCA.4L6.A.B2" 142.620000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.E.B2" 142.970000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.D.B2" 143.255000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.C.B2" 143.605000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.B.B2" 143.890000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCS.4L6.B.B2" 144.240000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAH.4L6.A.B2" 144.240000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTAB.4L6.D.B2" 144.640000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCS.4L6.A.B2" 144.640000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTAB.4L6.C.B2" 145.140000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAS.4L6.B.B2" 148.440000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAS.4L6.A.B2" 148.690000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTAB.4L6.B.B2" 151.990000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTEA.4L6.B.B2" 152.490000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTAB.4L6.A.B2" 152.490000 0.010000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L6.D.B2" 152.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTEA.4L6.A.B2" 152.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L6.C.B2" 153.510000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L6.B.B2" 154.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRH.4L6.B.B2" 155.510000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L6.A.B2" 155.510000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L6.B.B2" 156.923000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRH.4L6.A.B2" 156.923000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L6.B.B2" 157.223000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L6.A.B2" 157.223000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L6.B.B2" 164.223000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L6.A.B2" 164.223000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L6.A.B2" 164.523000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4L6.B.B2" 165.673000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4L6.A.B2" 165.873000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCQ.4L6.B.B2" 167.023000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L6.B.B2" 167.368000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCQ.4L6.A.B2" 167.368000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4L6.B.B2" 167.658000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L6.A.B2" 167.658000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.4L6.B.B2" 167.743000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4L6.A.B2" 167.743000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4L6.B.B2" 168.003000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.4L6.A.B2" 168.003000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.4L6.A.B2" 168.023000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L6.B.B2" 168.363274 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L6.A.B2" 174.448974 0.000000 0.000000 0.000000 0.000000 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0.000000 + "VCRLM.5L6.B.B2" 256.890000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L6.A.B2" 256.890000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5L6.B.B2" 256.971900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLM.5L6.A.B2" 257.120000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.5L6.A.B2" 259.152700 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.B.B2" 259.349390 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L6.A.B2" 268.784590 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "E.DS.L6.B2" 269.415000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip7.b1.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip7.b1.tfs new file mode 100644 index 000000000..6d31b57bf --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip7.b1.tfs @@ -0,0 +1,656 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L7.B1" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L7.B1" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L7.A.B1" -268.276094 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L7.B.B1" -261.209694 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L7.A.B1" -261.018300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L7.B.B1" -259.316200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.A.B1" -258.984000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.B.B1" -258.964000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L7.A.B1" -258.704000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L7.B.B1" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7L7.A.B1" -258.629000 0.000000 0.000000 0.000000 0.000000 0.000000 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0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.F.B1" -26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L7.A.B1" -26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L7.B.B1" -26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.G.B1" -26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.H.B1" -19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L7.G.B1" -19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4L7.H.B1" -19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.4L7.A.B1" -19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.4L7.B.B1" -12.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.A.B1" -12.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.B.B1" -11.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.A.B1" -11.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.B.B1" -8.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQA.4L7.A.B1" -8.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQA.4L7.B.B1" -7.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.G.B1" -6.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.H.B1" -5.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.C.B1" -5.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.D.B1" -4.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.I.B1" -4.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.J.B1" -3.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.K.B1" -2.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.L.B1" -1.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.E.B1" -1.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.F.B1" -0.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.M.B1" -0.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.N.B1" 0.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.A.B1" 1.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.B.B1" 2.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.A.B1" 2.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.B.B1" 3.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.4R7.A.B1" 3.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.4R7.B.B1" 4.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.A.B1" 4.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.B.B1" 7.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.A.B1" 7.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.B.B1" 8.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.C.B1" 8.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.D.B1" 11.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.C.B1" 11.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.D.B1" 12.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.4R7.A.B1" 12.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQH.4R7.B.B1" 19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.A.B1" 19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.B.B1" 19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.A.B1" 19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.B.B1" 26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.A.B1" 26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.B.B1" 26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.C.B1" 26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.D.B1" 33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.C.B1" 33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.D.B1" 34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.E.B1" 34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.F.B1" 41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.A.B1" 41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.A.B1" 41.357500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.B.B1" 41.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.B.B1" 41.442500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.A.B1" 41.485000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.B.B1" 41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4R7.A.B1" 41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4R7.B.B1" 45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.E.B1" 45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.F.B1" 45.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.G.B1" 45.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.H.B1" 52.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.G.B1" 52.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4R7.H.B1" 52.936000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4R7.A.B1" 52.936000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4R7.B.B1" 53.081000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R7.A.B1" 53.081000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R7.B.B1" 55.216000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4R7.A.B1" 55.216000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4R7.B.B1" 55.496000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R7.A.B1" 55.496000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R7.B.B1" 57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.A.B1" 57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.B.B1" 57.881000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.A.B1" 58.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.B.B1" 58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.A.B1" 58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.B.B1" 61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.A.B1" 61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.B.B1" 62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.C.B1" 62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.D.B1" 65.686000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.C.B1" 65.686000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.D.B1" 65.966000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.E.B1" 65.966000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.F.B1" 69.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R7.A.B1" 69.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R7.B.B1" 69.766000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.G.B1" 69.766000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.H.B1" 73.286000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNI.4R7.A.B1" 73.286000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNI.4R7.B.B1" 73.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.E.B1" 73.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.F.B1" 74.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.E.B1" 74.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.F.B1" 77.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.G.B1" 77.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4R7.H.B1" 78.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNH.4R7.A.B1" 78.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNH.4R7.B.B1" 78.466000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.I.B1" 78.466000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.J.B1" 81.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.E.B1" 81.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4R7.F.B1" 82.266000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.K.B1" 82.266000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.L.B1" 85.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.C.B1" 85.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.D.B1" 85.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5R7.A.B1" 86.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5R7.B.B1" 86.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.A.B1" 86.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.A.B1" 86.616000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.B.B1" 86.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.B.B1" 86.896000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTW.5R7.A.B1" 86.916000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTW.5R7.B.B1" 90.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.A.B1" 90.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.B.B1" 91.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.C.B1" 92.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.D.B1" 93.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.A.B1" 93.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.B.B1" 94.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5R7.A.B1" 94.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5R7.B.B1" 95.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.A.B1" 95.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.B.B1" 99.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.A.B1" 99.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.B.B1" 99.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.C.B1" 99.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.D.B1" 103.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.C.B1" 103.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.D.B1" 103.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5R7.A.B1" 103.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5R7.B.B1" 106.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.E.B1" 106.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.F.B1" 107.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.G.B1" 108.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.H.B1" 109.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.C.B1" 109.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.D.B1" 110.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.I.B1" 110.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.J.B1" 111.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.K.B1" 112.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.L.B1" 113.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.E.B1" 113.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.F.B1" 114.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.M.B1" 114.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.N.B1" 115.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.A.B1" 115.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.C.B1" 115.763500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.B.B1" 115.796000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.D.B1" 115.848500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.C.B1" 115.861000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.D.B1" 116.141000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5R7.A.B1" 116.161000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5R7.B.B1" 116.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R7.A.B1" 116.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R7.B.B1" 118.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMG.5R7.A.B1" 118.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMG.5R7.B.B1" 118.736000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R7.A.B1" 118.736000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R7.B.B1" 120.871000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5R7.A.B1" 120.871000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5R7.B.B1" 121.071000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.A.B1" 121.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.B.B1" 121.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.A.B1" 121.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.B.B1" 125.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.A.B1" 125.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.B.B1" 125.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.C.B1" 125.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.D.B1" 128.876000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.A.B1" 128.876000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.B.B1" 129.156000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.E.B1" 129.156000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.F.B1" 132.676000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.C.B1" 132.676000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.D.B1" 132.956000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.G.B1" 132.956000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.H.B1" 136.476000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.E.B1" 136.476000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5R7.F.B1" 136.756000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.I.B1" 136.756000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.J.B1" 140.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.C.B1" 140.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.D.B1" 140.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.K.B1" 140.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.L.B1" 144.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.C.B1" 144.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.D.B1" 144.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6R7.A.B1" 144.561000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6R7.B.B1" 144.661000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTY.6R7.A.B1" 144.661000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTY.6R7.B.B1" 145.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.A.B1" 145.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.B.B1" 146.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.C.B1" 147.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.D.B1" 148.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.A.B1" 148.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.B.B1" 149.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.E.B1" 149.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.F.B1" 150.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSM.6R7.A.B1" 150.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSM.6R7.B.B1" 152.022000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6R7.A.B1" 152.042000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6R7.B.B1" 152.322000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.A.B1" 152.327000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6R7.A.B1" 152.387000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.B.B1" 152.412000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6R7.B.B1" 152.667000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.G.B1" 152.667000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.H.B1" 153.187000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.I.B1" 154.667000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.J.B1" 155.187000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTP.6R7.A.B1" 155.187500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTP.6R7.B.B1" 158.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.A.B1" 158.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.B.B1" 158.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.A.B1" 158.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.B.B1" 162.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.C.B1" 162.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.D.B1" 162.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTN.6R7.A.B1" 162.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTN.6R7.B.B1" 167.753500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.A.B1" 167.753500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.B.B1" 168.053500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.A.B1" 168.053500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6R7.B1" 170.088500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.B.B1" 171.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSO.6R7.A.B1" 171.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSO.6R7.B.B1" 172.288500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTQ.6R7.A.B1" 172.288500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTQ.6R7.B.B1" 172.688500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.C.B1" 172.688500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.D.B1" 172.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.C.B1" 172.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6R7.B1" 175.023500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.D.B1" 176.923500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.A.B1" 176.923500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.B.B1" 177.223500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTK.6R7.A.B1" 177.223500 0.014856 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTK.6R7.B.B1" 178.723500 0.014856 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6R7.A.B1" 178.723500 0.014139 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6R7.B.B1" 179.024000 0.014139 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTL.6R7.A.B1" 179.024000 0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTL.6R7.B.B1" 183.541000 0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.K.B1" 183.541000 0.011834 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.L.B1" 184.061000 0.011834 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCLA.B6R7.B1" 184.801000 0.010400 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.M.B1" 185.541000 0.010877 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.N.B1" 186.061000 0.010877 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSF.6R7.A.B1" 186.061000 0.010629 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSF.6R7.B.B1" 191.001000 0.010629 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.E.B1" 191.001000 0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.F.B1" 191.401000 0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTI.6R7.A.B1" 191.401000 0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTI.6R7.B.B1" 194.178000 0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.G.B1" 194.178000 0.006698 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.H.B1" 194.578000 0.006698 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTH.6R7.A.B1" 194.578000 0.006506 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTH.6R7.B.B1" 197.778000 0.006506 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.I.B1" 197.778000 0.005023 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.J.B1" 198.178000 0.005023 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.C.B1" 198.178000 0.004832 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.D.B1" 201.778000 0.004832 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.K.B1" 201.778000 0.003110 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.L.B1" 202.178000 0.003110 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.E.B1" 202.178000 0.002918 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.F.B1" 205.778000 0.002918 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.M.B1" 205.778000 0.001196 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.N.B1" 206.178000 0.001196 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTE.6R7.A.B1" 206.178000 0.001005 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTE.6R7.B.B1" 207.978000 0.001005 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.C.B1" 207.978000 0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.D.B1" 208.278000 0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.E.B1" 208.278000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6R7.B1" 210.178000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.F.B1" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.A.B1" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.B.B1" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.G.B1" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6R7.B1" 214.413000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.H.B1" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6R7.A.B1" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6R7.B.B1" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTS.6R7.A.B1" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTS.6R7.B.B1" 216.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.O.B1" 216.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.P.B1" 217.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.Q.B1" 218.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.R.B1" 219.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.S.B1" 220.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.T.B1" 221.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQD.6R7.A.B1" 221.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQD.6R7.B.B1" 222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R7.A.B1" 222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R7.B.B1" 222.565000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R7.A.B1" 222.650000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.C.B1" 222.650000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.D.B1" 222.735000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.A.B1" 222.900000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R7.B.B1" 222.910000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.B.B1" 222.920000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.A.B1" 223.752784 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.B.B1" 234.589384 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.A.B1" 234.939000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.B.B1" 234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R7.A.B1" 234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R7.B.B1" 235.219000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.A.B1" 235.224000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.B.B1" 235.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.A.B1" 235.304000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.B.B1" 235.594000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQU.7R7.A.B1" 235.594000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQU.7R7.B.B1" 236.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.A.B1" 236.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.B.B1" 236.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.C.B1" 238.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.D.B1" 238.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRJ.7R7.A.B1" 238.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRJ.7R7.B.B1" 243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.A.B1" 243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.B.B1" 243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.A.B1" 243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.B.B1" 247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R7.A.B1" 247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R7.B.B1" 247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRK.7R7.A.B1" 247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRK.7R7.B.B1" 248.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.E.B1" 248.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.F.B1" 248.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.7R7.A.B1" 248.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.7R7.B.B1" 250.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.G.B1" 250.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7R7.H.B1" 250.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSY.7R7.A.B1" 250.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSY.7R7.B.B1" 251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.A.B1" 251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.B.B1" 252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.A.B1" 252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.B.B1" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R7.A.B1" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R7.B.B1" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.C.B1" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.D.B1" 258.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.C.B1" 258.464000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.D.B1" 258.484000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.A.B1" 258.907900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.B.B1" 261.110200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.A.B1" 261.786906 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.B.B1" 268.853306 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip7.b2.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip7.b2.tfs new file mode 100644 index 000000000..3fba473ae --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip7.b2.tfs @@ -0,0 +1,650 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "E.DS.L7.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "E.DS.L7.B2" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L7.A.B2" -268.276094 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L7.B.B2" -261.209694 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L7.A.B2" -261.018300 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L7.B.B2" -259.316200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.A.B2" -258.984000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.B.B2" -258.964000 0.000000 0.000000 0.000000 0.000000 0.000000 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+ "VCDSS.4R7.A.B2" 4.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.B.B2" 5.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.A.B2" 5.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.B.B2" 6.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.C.B2" 7.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.D.B2" 8.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.C.B2" 8.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.D.B2" 9.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.E.B2" 9.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.F.B2" 10.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.G.B2" 11.740000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.H.B2" 12.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4R7.A.B2" 12.260000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4R7.B.B2" 19.200000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.A.B2" 19.200000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.B.B2" 19.500000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.A.B2" 19.500000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.B.B2" 26.500000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.A.B2" 26.500000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.B.B2" 26.800000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.C.B2" 26.800000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.D.B2" 33.800000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.C.B2" 33.800000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.D.B2" 34.100000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.E.B2" 34.100000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.F.B2" 41.100000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.A.B2" 41.100000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.A.B2" 41.357500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.B.B2" 41.400000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.B.B2" 41.442500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.A.B2" 41.485000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.B.B2" 41.785000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4R7.A.B2" 41.785000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4R7.B.B2" 45.336000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.E.B2" 45.336000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.F.B2" 45.636000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.G.B2" 45.636000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.H.B2" 52.636000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.G.B2" 52.636000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.H.B2" 52.936000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4R7.A.B2" 52.936000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4R7.B.B2" 53.081000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R7.A.B2" 53.081000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4R7.B.B2" 55.216000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R7.A.B2" 55.216000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R7.B.B2" 55.496000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R7.A.B2" 55.496000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R7.B.B2" 57.681000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.A.B2" 57.681000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.B.B2" 57.881000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.A.B2" 58.166000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.B.B2" 58.366000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.A.B2" 58.366000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.B.B2" 61.886000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.A.B2" 61.886000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.B.B2" 62.166000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.C.B2" 62.166000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.D.B2" 65.686000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.C.B2" 65.686000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.D.B2" 65.966000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.E.B2" 65.966000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.F.B2" 69.486000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R7.A.B2" 69.486000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4R7.B.B2" 69.766000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.G.B2" 69.766000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.H.B2" 73.286000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNG.4R7.A.B2" 73.286000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNG.4R7.B.B2" 73.666000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.I.B2" 73.666000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.J.B2" 74.186000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.E.B2" 74.186000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.F.B2" 75.666000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.K.B2" 75.666000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.L.B2" 76.186000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.M.B2" 77.666000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.N.B2" 78.186000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNF.4R7.A.B2" 78.186000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNF.4R7.B.B2" 78.466000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.I.B2" 78.466000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.J.B2" 81.986000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.E.B2" 81.986000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.F.B2" 82.266000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.K.B2" 82.266000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.L.B2" 85.786000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.C.B2" 85.786000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.D.B2" 85.986000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5R7.A.B2" 86.271000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOD.5R7.B.B2" 86.551000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.A.B2" 86.551000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.A.B2" 86.616000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.B.B2" 86.636000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.B.B2" 86.896000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTX.5R7.A.B2" 86.916000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTX.5R7.B.B2" 91.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.A.B2" 91.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.B.B2" 91.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.A.B2" 91.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.B.B2" 95.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5R7.A.B2" 95.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5R7.B.B2" 95.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.A.B2" 95.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.B.B2" 96.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.A.B2" 96.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.B.B2" 97.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.C.B2" 98.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.D.B2" 99.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.C.B2" 99.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5R7.D.B2" 100.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.E.B2" 100.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.F.B2" 101.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.G.B2" 102.996000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5R7.H.B2" 103.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5R7.A.B2" 103.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5R7.B.B2" 107.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.C.B2" 107.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.D.B2" 107.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.C.B2" 107.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5R7.D.B2" 111.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.E.B2" 111.056000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5R7.F.B2" 111.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTV.5R7.A.B2" 111.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTV.5R7.B.B2" 115.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.A.B2" 115.516000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.C.B2" 115.763500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5R7.B.B2" 115.796000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R7.D.B2" 115.848500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.C.B2" 115.861000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5R7.D.B2" 116.141000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5R7.A.B2" 116.161000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5R7.B.B2" 116.271000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R7.A.B2" 116.271000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5R7.B.B2" 118.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.5R7.A.B2" 118.456000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.5R7.B.B2" 118.736000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R7.A.B2" 118.736000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5R7.B.B2" 120.871000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5R7.A.B2" 120.871000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5R7.B.B2" 121.071000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.A.B2" 121.356000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.B.B2" 121.556000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.A.B2" 121.556000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.B.B2" 125.076000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.A.B2" 125.076000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.B.B2" 125.356000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.C.B2" 125.356000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.D.B2" 128.876000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.A.B2" 128.876000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.B.B2" 129.156000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.E.B2" 129.156000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.F.B2" 132.676000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.C.B2" 132.676000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.D.B2" 132.956000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.G.B2" 132.956000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.H.B2" 136.476000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.E.B2" 136.476000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.5R7.F.B2" 136.756000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.I.B2" 136.756000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.J.B2" 140.276000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.C.B2" 140.276000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5R7.D.B2" 140.556000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.K.B2" 140.556000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5R7.L.B2" 144.076000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.C.B2" 144.076000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5R7.D.B2" 144.276000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6R7.A.B2" 144.561000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6R7.B.B2" 144.661000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.A.B2" 145.661000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.B.B2" 146.061000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.A.B2" 146.061000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6R7.B.B2" 149.661000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.C.B2" 149.661000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.D.B2" 150.061000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTR.6R7.A.B2" 150.061000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTR.6R7.B.B2" 152.022000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6R7.A.B2" 152.042000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6R7.B.B2" 152.322000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.A.B2" 152.327000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6R7.A.B2" 152.387000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R7.B.B2" 152.412000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6R7.B.B2" 152.667000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSW.6R7.A.B2" 152.667000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSW.6R7.B.B2" 158.223000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.A.B2" 158.223000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.B.B2" 158.743000 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.A.B2" 158.743500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.B.B2" 160.223500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.C.B2" 160.223500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.D.B2" 160.743500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.E.B2" 162.223500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.F.B2" 162.743500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTO.6R7.A.B2" 162.743500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTO.6R7.B.B2" 167.753500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.A.B2" 167.753500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6R7.B.B2" 168.053500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.A.B2" 168.053500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6R7.B2" 170.088500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.B.B2" 171.988500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.A.B2" 171.988500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.B.B2" 172.288500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHMB.6R7.A.B2" 172.688500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHMB.6R7.B.B2" 172.988500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.C.B2" 172.988500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6R7.B2" 175.023500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.D.B2" 176.923500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.A.B2" 176.923500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.B.B2" 177.223500 -0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6R7.A.B2" 178.723500 -0.014139 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6R7.B.B2" 179.024000 -0.014139 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTM.6R7.A.B2" 179.024000 -0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTM.6R7.B.B2" 183.601000 -0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.E.B2" 183.601000 -0.011805 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.F.B2" 184.001000 -0.011805 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSO.6R7.A.B2" 184.001000 -0.011614 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSO.6R7.B.B2" 191.001000 -0.011614 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.G.B2" 191.001000 -0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6R7.H.B2" 191.401000 -0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTJ.6R7.A.B2" 191.401000 -0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTJ.6R7.B.B2" 194.118000 -0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.G.B2" 194.118000 -0.006774 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.H.B2" 194.638000 -0.006774 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.A.B2" 194.638000 -0.006525 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.B.B2" 195.318000 -0.006525 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.I.B2" 195.318000 -0.006200 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.J.B2" 195.838000 -0.006200 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.C.B2" 195.838000 -0.005951 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.D.B2" 196.518000 -0.005951 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.K.B2" 196.518000 -0.005626 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.L.B2" 197.038000 -0.005626 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.E.B2" 197.038000 -0.005377 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSX.6R7.F.B2" 197.718000 -0.005377 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.M.B2" 197.718000 -0.005052 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.N.B2" 198.238000 -0.005052 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.C.B2" 198.238000 -0.004803 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6R7.D.B2" 199.718000 -0.004803 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.O.B2" 199.718000 -0.004095 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.P.B2" 200.238000 -0.004095 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCP.B6R7.B2" 200.978000 -0.004250 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.Q.B2" 201.718000 -0.003138 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.R.B2" 202.238000 -0.003138 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCP.C6R7.B2" 202.978000 -0.003500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.S.B2" 203.718000 -0.002182 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.T.B2" 204.238000 -0.002182 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCP.D6R7.B2" 204.978000 -0.002750 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.U.B2" 205.718000 -0.001225 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6R7.V.B2" 206.238000 -0.001225 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTF.6R7.A.B2" 206.238000 -0.000976 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTF.6R7.B.B2" 207.978000 -0.000976 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.C.B2" 207.978000 -0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6R7.D.B2" 208.278000 -0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.E.B2" 208.278000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6R7.B2" 210.178000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.F.B2" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.C.B2" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6R7.D.B2" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.G.B2" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6R7.B2" 214.413000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6R7.H.B2" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6R7.A.B2" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6R7.B.B2" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQQ.6R7.A.B2" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQQ.6R7.B.B2" 222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R7.A.B2" 222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R7.B.B2" 222.565000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R7.A.B2" 222.645000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R7.A.B2" 222.650000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R7.B.B2" 222.720000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.A.B2" 222.900000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R7.B.B2" 222.910000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.B.B2" 222.920000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.A.B2" 223.752784 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.B.B2" 234.589384 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.A.B2" 234.939000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.B.B2" 234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R7.A.B2" 234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R7.B.B2" 235.219000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R7.A.B2" 235.219000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R7.B.B2" 235.304000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R7.A.B2" 235.304000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R7.B.B2" 235.594000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.A.B2" 236.094000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.B.B2" 236.394000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRM.7R7.A.B2" 236.394000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRM.7R7.B.B2" 238.498000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R7.A.B2" 238.498000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R7.B.B2" 238.898000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRI.7R7.A.B2" 238.898000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRI.7R7.B.B2" 243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.C.B2" 243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.D.B2" 243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.A.B2" 243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.B.B2" 247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJAE.7R7.A.B2" 247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJAE.7R7.B.B2" 247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSZ.7R7.A.B2" 247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSZ.7R7.B.B2" 251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.A.B2" 251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.B.B2" 252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.A.B2" 252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.B.B2" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.A.B2" 257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.B.B2" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.A.B2" 258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.B.B2" 258.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.C.B2" 258.464000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.D.B2" 258.484000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.A.B2" 258.907900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.B.B2" 261.110200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.A.B2" 261.786906 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.B.B2" 268.853306 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip7.b4.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip7.b4.tfs new file mode 100644 index 000000000..b19830dbe --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip7.b4.tfs @@ -0,0 +1,651 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "S.DS.R7.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "S.DS.R7.B2" -268.904000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.B.B2" -268.853306 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R7.A.B2" -261.786906 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.B.B2" -261.110200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R7.A.B2" -258.907900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.D.B2" -258.484000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.C.B2" -258.464000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.B.B2" -258.204000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.B.B2" -258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R7.A.B2" -258.129000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.B.B2" -257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R7.A.B2" -257.829000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.B.B2" -252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDN.7R7.A.B2" -252.159000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSZ.7R7.B.B2" -251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAB.7R7.A.B2" -251.859000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJAE.7R7.B.B2" -247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSZ.7R7.A.B2" -247.976000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.B.B2" -247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJAE.7R7.A.B2" -247.676000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.D.B2" -243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDER.7R7.A.B2" -243.916000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRI.7R7.B.B2" -243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.C.B2" -243.616000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R7.B.B2" -238.898000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRI.7R7.A.B2" -238.898000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRM.7R7.B.B2" -238.498000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.7R7.A.B2" -238.498000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.B.B2" -236.394000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRM.7R7.A.B2" -236.394000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R7.A.B2" -236.094000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R7.B.B2" -235.594000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R7.B.B2" -235.304000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.7R7.A.B2" -235.304000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R7.B.B2" -235.219000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7R7.A.B2" -235.219000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.B.B2" -234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.7R7.A.B2" -234.959000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R7.A.B2" -234.939000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.B.B2" -234.589384 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R7.A.B2" -223.752784 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.B.B2" -222.920000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R7.B.B2" -222.910000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R7.A.B2" -222.900000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R7.B.B2" -222.720000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R7.A.B2" -222.650000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R7.A.B2" -222.645000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R7.B.B2" -222.565000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQQ.6R7.B.B2" -222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R7.A.B2" -222.275000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6R7.B.B2" -216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQQ.6R7.A.B2" -216.648000 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0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.C.B2" -65.686000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.B.B2" -62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.C.B2" -62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.B.B2" -61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.4R7.A.B2" -61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.B.B2" -58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4R7.A.B2" -58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4R7.A.B2" -58.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.B.B2" -57.881000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4R7.B.B2" -57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4R7.A.B2" -57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.4R7.B.B2" 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"VCDBK.4R7.B.B2" -45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.E.B2" -45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.B.B2" -41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4R7.A.B2" -41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R7.A.B2" -41.485000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.B.B2" -41.442500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.B.B2" -41.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R7.A.B2" -41.357500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.F.B2" -41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R7.A.B2" -41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.D.B2" -34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.E.B2" -34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.D.B2" -33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.C.B2" -33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.B.B2" -26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.C.B2" -26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.B.B2" -26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4R7.A.B2" -26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.B.B2" -19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4R7.A.B2" -19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4R7.B.B2" -19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.4R7.A.B2" -19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.H.B2" -12.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4R7.A.B2" -12.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.G.B2" -11.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.F.B2" -10.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.D.B2" -9.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.E.B2" -9.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.D.B2" -8.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.C.B2" -8.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.C.B2" -7.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.B.B2" -6.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.B.B2" -5.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R7.A.B2" -5.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.4R7.B.B2" -4.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4R7.A.B2" -4.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.B.B2" -3.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.4R7.A.B2" -3.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.H.B2" -0.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4R7.A.B2" -0.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.F.B2" 0.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.G.B2" 0.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.F.B2" 3.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.E.B2" 3.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.D.B2" 4.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.E.B2" 4.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQA.4L7.B.B2" 7.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.C.B2" 7.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQA.4L7.A.B2" 8.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.D.B2" 9.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.B.B2" 10.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.C.B2" 10.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.B.B2" 11.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.4L7.A.B2" 11.740000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4L7.B.B2" 12.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4L7.A.B2" 12.260000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.H.B2" 19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.4L7.A.B2" 19.200000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.H.B2" 19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.G.B2" 19.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L7.B.B2" 26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.G.B2" 26.500000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.F.B2" 26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.4L7.A.B2" 26.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.F.B2" 33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.E.B2" 33.800000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.D.B2" 34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.E.B2" 34.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L7.B.B2" 41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.C.B2" 41.100000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L7.A.B2" 41.400000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L7.B.B2" 41.442500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L7.B.B2" 41.485000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L7.A.B2" 41.527500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4L7.B.B2" 41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L7.A.B2" 41.785000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.D.B2" 45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBK.4L7.A.B2" 45.336000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.B.B2" 45.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.C.B2" 45.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.B.B2" 52.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.4L7.A.B2" 52.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4L7.B.B2" 52.936000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.4L7.A.B2" 52.936000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L7.B.B2" 53.081000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNO.4L7.A.B2" 53.081000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L7.B.B2" 55.216000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.4L7.A.B2" 55.216000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L7.B.B2" 55.496000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJLO.4L7.A.B2" 55.496000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4L7.B.B2" 57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.4L7.A.B2" 57.681000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMALA.4L7.A.B2" 57.881000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L7.D.B2" 58.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.L.B2" 58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L7.C.B2" 58.366000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.F.B2" 61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.K.B2" 61.886000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.J.B2" 62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.E.B2" 62.166000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.D.B2" 65.686000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.I.B2" 65.686000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.H.B2" 65.966000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.C.B2" 65.966000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L7.B.B2" 69.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.G.B2" 69.486000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.F.B2" 69.766000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.4L7.A.B2" 69.766000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNI.4L7.B.B2" 73.286000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.E.B2" 73.286000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.D.B2" 73.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNI.4L7.A.B2" 73.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.B.B2" 74.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.C.B2" 74.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.B.B2" 77.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.4L7.A.B2" 77.726000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNH.4L7.B.B2" 78.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.4L7.A.B2" 78.126000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.D.B2" 78.466000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNH.4L7.A.B2" 78.466000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.B.B2" 81.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.C.B2" 81.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.B.B2" 82.266000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJJO.4L7.A.B2" 82.266000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L7.B.B2" 85.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.4L7.A.B2" 85.786000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.4L7.A.B2" 85.986000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5L7.B.B2" 86.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L7.D.B2" 86.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJOC.5L7.A.B2" 86.551000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5L7.D.B2" 86.616000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L7.C.B2" 86.636000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5L7.C.B2" 86.896000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTW.5L7.B.B2" 86.916000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.N.B2" 90.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTW.5L7.A.B2" 90.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.M.B2" 91.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.L.B2" 92.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.F.B2" 93.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.K.B2" 93.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5L7.B.B2" 94.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.E.B2" 94.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L7.D.B2" 95.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTQB.5L7.A.B2" 95.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L7.D.B2" 99.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L7.C.B2" 99.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L7.B.B2" 99.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L7.C.B2" 99.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L7.B.B2" 103.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.5L7.A.B2" 103.056000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5L7.B.B2" 103.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.5L7.A.B2" 103.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.J.B2" 106.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDST.5L7.A.B2" 106.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.I.B2" 107.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.H.B2" 108.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.D.B2" 109.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.G.B2" 109.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.F.B2" 110.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.C.B2" 110.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.E.B2" 111.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.D.B2" 112.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.B.B2" 113.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.C.B2" 113.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.B.B2" 114.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.5L7.A.B2" 114.996000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5L7.B.B2" 115.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.5L7.A.B2" 115.516000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L7.B.B2" 115.771000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.5L7.A.B2" 115.796000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L7.A.B2" 115.856000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5L7.B.B2" 115.861000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.5L7.A.B2" 116.141000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5L7.B.B2" 116.161000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L7.B.B2" 116.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNE.5L7.A.B2" 116.271000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMG.5L7.B.B2" 118.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L7.A.B2" 118.456000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5L7.B.B2" 118.736000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMG.5L7.A.B2" 118.736000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5L7.B.B2" 120.871000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELV.5L7.A.B2" 120.871000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGLA.5L7.A.B2" 121.071000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L7.D.B2" 121.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.L.B2" 121.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L7.C.B2" 121.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.F.B2" 125.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.K.B2" 125.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.J.B2" 125.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.E.B2" 125.356000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L7.D.B2" 128.876000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.I.B2" 128.876000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.H.B2" 129.156000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L7.C.B2" 129.156000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.D.B2" 132.676000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.G.B2" 132.676000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.F.B2" 132.956000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.C.B2" 132.956000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.B.B2" 136.476000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.E.B2" 136.476000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.D.B2" 136.756000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJIO.5L7.A.B2" 136.756000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L7.B.B2" 140.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.C.B2" 140.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.B.B2" 140.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIB.5L7.A.B2" 140.556000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L7.B.B2" 144.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELQ.5L7.A.B2" 144.076000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGIA.5L7.A.B2" 144.276000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6L7.B.B2" 144.561000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTY.6L7.B.B2" 144.661000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHDA.6L7.A.B2" 144.661000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.R.B2" 145.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTY.6L7.A.B2" 145.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.Q.B2" 146.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.P.B2" 147.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6L7.B.B2" 148.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.O.B2" 148.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.N.B2" 149.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.6L7.A.B2" 149.601000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSM.6L7.B.B2" 150.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.M.B2" 150.121000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6L7.B.B2" 152.022000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSM.6L7.A.B2" 152.022000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L7.D.B2" 152.277000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJNC.6L7.A.B2" 152.302000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L7.C.B2" 152.362000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6L7.B.B2" 152.367000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJND.6L7.A.B2" 152.647000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.L.B2" 152.667000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.K.B2" 153.187000 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.J.B2" 154.667500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTP.6L7.B.B2" 155.187500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.I.B2" 155.187500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.N.B2" 158.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTP.6L7.A.B2" 158.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.F.B2" 158.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.M.B2" 158.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.L.B2" 162.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.E.B2" 162.283500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTN.6L7.B.B2" 162.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.K.B2" 162.683500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L7.D.B2" 167.753500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTN.6L7.A.B2" 167.753500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.H.B2" 168.053500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L7.C.B2" 168.053500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.A6L7.B2" 170.088500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSO.6L7.B.B2" 171.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.G.B2" 171.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTQ.6L7.B.B2" 172.288500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSO.6L7.A.B2" 172.288500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L7.B.B2" 172.688500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTQ.6L7.A.B2" 172.688500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.F.B2" 172.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSB.6L7.A.B2" 172.988500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.B6L7.B2" 175.023500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L7.D.B2" 176.923500 0.014856 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.E.B2" 176.923500 0.015000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTK.6L7.B.B2" 177.223500 0.014000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L7.C.B2" 177.223500 0.014856 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6L7.B.B2" 178.723500 0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTK.6L7.A.B2" 178.723500 0.014000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTL.6L7.B.B2" 179.024000 0.011834 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHAB.6L7.A.B2" 179.024000 0.013995 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.H.B2" 183.541000 0.011585 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTL.6L7.A.B2" 183.541000 0.011834 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.G.B2" 184.061000 0.011585 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCLA.B6L7.B2" 184.801000 0.010400 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.F.B2" 185.541000 0.010629 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSF.6L7.B.B2" 186.061000 0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.E.B2" 186.061000 0.010629 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.J.B2" 191.001000 0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSF.6L7.A.B2" 191.001000 0.008265 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTI.6L7.B.B2" 191.401000 0.006698 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.I.B2" 191.401000 0.008074 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.H.B2" 194.178000 0.006506 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTI.6L7.A.B2" 194.178000 0.006698 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTH.6L7.B.B2" 194.578000 0.005023 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.G.B2" 194.578000 0.006506 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.F.B2" 197.778000 0.004832 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTH.6L7.A.B2" 197.778000 0.005023 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.D.B2" 198.178000 0.003110 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.E.B2" 198.178000 0.004832 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.D.B2" 201.778000 0.002918 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.C.B2" 201.778000 0.003110 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.B.B2" 202.178000 0.001196 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.C.B2" 202.178000 0.002918 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.B.B2" 205.778000 0.001005 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTG.6L7.A.B2" 205.778000 0.001196 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTE.6L7.B.B2" 206.178000 0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMIAL.6L7.A.B2" 206.178000 0.001005 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L7.B.B2" 207.978000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTE.6L7.A.B2" 207.978000 0.000144 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.D.B2" 208.278000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJSB.6L7.A.B2" 208.278000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.C6L7.B2" 210.178000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L7.B.B2" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.C.B2" 212.213000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.B.B2" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMJMO.6L7.A.B2" 212.513000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBW.D6L7.B2" 214.413000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6L7.B.B2" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELW.6L7.A.B2" 216.448000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTS.6L7.B.B2" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMHSA.6L7.A.B2" 216.648000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.D.B2" 216.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTS.6L7.A.B2" 216.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.C.B2" 217.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.B.B2" 218.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L7.A.B2" 219.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTJ.6L7.B.B2" 220.810000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTJ.6L7.A.B2" 221.330000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L7.B.B2" 221.615000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L7.B.B2" 221.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L7.A.B2" 221.905000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L7.B.B2" 221.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L7.A.B2" 221.990000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L7.B.B2" 222.250000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L7.A.B2" 222.250000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L7.A.B2" 222.270000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L7.B.B2" 222.619616 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L7.A.B2" 233.456216 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.D.B2" 234.279000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L7.B.B2" 234.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L7.C.B2" 234.299000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L7.B.B2" 234.559000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L7.A.B2" 234.559000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L7.B.B2" 234.644000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L7.A.B2" 234.644000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQC.7L7.B.B2" 234.934000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L7.A.B2" 234.934000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.H.B2" 236.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQC.7L7.A.B2" 236.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.G.B2" 236.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.F.B2" 238.438000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRT.7L7.B.B2" 238.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.E.B2" 238.958000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L7.D.B2" 243.980000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRT.7L7.A.B2" 243.980000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRW.7L7.B.B2" 244.280000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7L7.C.B2" 244.280000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.D.B2" 248.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDRW.7L7.A.B2" 248.276000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSS.7L7.B.B2" 248.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.C.B2" 248.796000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.7L7.B.B2" 250.276000 0.000000 0.000000 0.000000 0.000000 0.000000 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-0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBX.4R8" 63.108000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.4R8.B.B1" 68.557713 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R8.A.B1" 69.098000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.A.B1" 69.298000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R8.B.B1" 69.298000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.B1" 69.440500 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.B.B1" 69.583000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R8.A.B1" 69.583000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R8.B.B1" 69.843000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R8.A.B1" 69.863000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R8.A.B1" 69.928000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R8.B.B1" 69.948000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R8.B.B1" 70.228000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCDDM.4R8" 71.358000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.A.B1" 72.228000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.B.B1" 73.008000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.C.B1" 74.488000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.D.B1" 75.268000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R8.A.B1" 75.268000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R8.B.B1" 75.768000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4R8.A.B1" 75.768000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4R8.B.B1" 76.533000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.A.B1" 76.533000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.B.B1" 76.933000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.A.B1" 76.933000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.B.B1" 77.233000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.A.B1" 77.233000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.B.B1" 77.633000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4R8.A.B1" 77.633000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4R8.B.B1" 78.133000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4R8.A.B1" 78.740500 -0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4R8.B.B1" 82.925500 -0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4R8.A.B1" 83.533000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4R8.B.B1" 84.033000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.C.B1" 84.033000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.D.B1" 84.433000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.C.B1" 84.433000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.D.B1" 84.733000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.E.B1" 84.733000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4R8.A.B1" 85.133000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.F.B1" 85.133000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4R8.B.B1" 85.158000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.A4R8" 85.441000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.C.B1" 85.733000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.D.B1" 86.133000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCI.4R8.A.B1" 86.133000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCI.4R8.B.B1" 86.908000 -0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.A.B1" 86.908000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.B.B1" 92.808000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.E.B1" 92.808000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.F.B1" 93.208000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.C.B1" 93.208000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.D.B1" 99.108000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R8.A.B1" 99.108000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R8.B.B1" 99.508000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.E.B1" 99.508000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.F.B1" 105.408000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.G.B1" 105.408000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.H.B1" 105.808000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.G.B1" 105.808000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.H.B1" 111.708000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.G.B1" 111.708000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.H.B1" 112.108000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.A.B1" 112.108000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.B.B1" 112.408000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.C.B1" 113.022000 -0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.D.B1" 113.023000 -0.152500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.E.B1" 113.308000 -0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.F.B1" 114.308000 -0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDB.4R8.A.B1" 114.308000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDB.4R8.B.B1" 114.588000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSA.4R8.A.B1" 114.588000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSA.4R8.B.B1" 116.693000 -0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4R8.A.B1" 116.693000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4R8.B.B1" 116.873000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLE.4R8.A.B1" 116.873000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLE.4R8.B.B1" 119.313000 -0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R8.A.B1" 119.313000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R8.A.B1" 119.493000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4R8.B.B1" 119.493000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R8.B.B1" 119.551000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R8.B1" 119.597500 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R8.C.B1" 119.720000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4R8.D.B1" 119.778000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R8.A.B1" 119.778000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.4R8.B.B1" 120.078000 -0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R8.A.B1" 120.078000 -0.187000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4R8.B.B1" 120.153000 -0.187000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R8.A.B1" 120.153000 -0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARC.4R8.B.B1" 120.413000 -0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R8.A.B1" 121.003141 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4R8.B1" 126.403000 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R8.B.B1" 131.707841 -0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R8.A.B1" 131.915965 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R8.B.B1" 143.996065 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.A.B1" 144.526000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.B.B1" 144.546000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5R8.A.B1" 144.546000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5R8.B.B1" 144.806000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R8.A.B1" 144.806000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R8.B.B1" 144.891000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R8.A.B1" 144.891000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5R8.B.B1" 145.181000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5R8.A.B1" 145.181000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDX.5R8.B.B1" 146.322000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMADE.5R8.A.B1" 146.322000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMADE.5R8.B.B1" 146.622000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.A.B1" 146.622000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.B.B1" 146.697000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.C.B1" 150.111000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.D.B1" 150.186000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.A.B1" 150.186000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.B.B1" 150.286000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.A.B1" 150.286000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.B.B1" 150.586000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.E.B1" 150.586000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.F.B1" 150.661000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.G.B1" 154.075000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.H.B1" 154.150000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.C.B1" 154.150000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.D.B1" 154.250000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.C.B1" 154.250000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.D.B1" 154.550000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.I.B1" 154.550000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.J.B1" 154.625000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.K.B1" 158.039000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.L.B1" 158.114000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.E.B1" 158.114000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.F.B1" 158.214000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.E.B1" 158.214000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABE.5R8.F.B1" 158.514000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.M.B1" 158.514000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.N.B1" 158.589000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.O.B1" 162.003000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.P.B1" 162.078000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACE.5R8.A.B1" 162.078000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACE.5R8.B.B1" 162.378000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEJ.5R8.A.B1" 162.378000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEJ.5R8.B.B1" 163.526000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R8.A.B1" 163.526000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5R8.B.B1" 163.816000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R8.C.B1" 163.821000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R8.A.B1" 163.901000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5R8.D.B1" 163.906000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5R8.B.B1" 164.161000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.C.B1" 164.161000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.D.B1" 164.181000 -0.194000 0.000000 0.000000 0.001200 -0.000249 0.000000 + "BPMYB.5R8.A.B1" 164.519000 -0.194000 0.000000 0.000000 0.001120 -0.000249 0.000000 + "BPMYB.5R8.B1" 164.642000 -0.194000 0.000000 0.000000 0.001080 -0.000249 0.000000 + "BPMYB.5R8.B.B1" 164.687000 -0.194000 0.000000 0.000000 0.001070 -0.000249 0.000000 + "VSSG.5R8.A.B1" 164.710904 -0.194000 0.000000 0.000000 0.001070 -0.000249 0.000000 + "MQY.A5R8.B1" 167.336000 -0.194000 0.000000 0.000000 0.000837 -0.000249 0.000000 + "MQY.B5R8.B1" 171.117000 -0.194000 0.000000 0.000000 -0.000106 -0.000249 0.000000 + "MCBYV.A5R8.B1" 173.464000 -0.194000 0.000000 0.000000 -0.001000 -0.000249 0.000000 + "MCBYH.5R8.B1" 174.610000 -0.194000 0.000000 0.000000 -0.001290 -0.000249 0.000000 + "MCBYV.B5R8.B1" 175.757000 -0.194000 0.000000 0.000000 -0.001580 -0.000249 0.000000 + "VSSG.5R8.B.B1" 176.791004 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.A.B1" 177.145000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.B.B1" 177.165000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R8.A.B1" 177.165000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6R8.B.B1" 177.425000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R8.A.B1" 177.425000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R8.B.B1" 177.510000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6R8.A.B1" 177.510000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6R8.B.B1" 177.800000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.A.B1" 177.800000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.B.B1" 184.800000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R8.A.B1" 184.800000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R8.B.B1" 185.100000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCO.6R8.A.B1" 185.100000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCO.6R8.B.B1" 191.948000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFZ.6R8.A.B1" 191.948000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDFZ.6R8.B.B1" 192.548000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMFN.6R8.A.B1" 192.548000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMFN.6R8.B.B1" 192.848000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6R8.A.B1" 192.848000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.A6R8.B1" 194.923000 -0.194000 0.000000 0.000000 0.010300 -0.001183 0.000000 + "VCSIM.6R8.B.B1" 196.998000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.A.B1" 196.998000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.B.B1" 197.298000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6R8.C.B1" 197.298000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.B6R8.B1" 199.373000 -0.194000 0.000000 0.000000 0.005000 -0.001183 0.000000 + "VCSIM.6R8.D.B1" 201.448000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.C.B1" 201.448000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.D.B1" 201.748000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6R8.E.B1" 201.748000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.A6R8.B1" 203.823000 -0.194000 0.000000 0.000000 0.009300 -0.001185 0.000000 + "VCSIM.6R8.F.B1" 205.898000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.E.B1" 205.898000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.F.B1" 206.198000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6R8.G.B1" 206.198000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.B6R8.B1" 208.273000 -0.194000 0.000000 0.000000 0.004000 -0.001185 0.000000 + "VCSIM.6R8.H.B1" 210.348000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.G.B1" 210.348000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAPB.6R8.H.B1" 210.648000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIM.6R8.I.B1" 210.648000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.C6R8.B1" 212.723000 -0.194000 0.000000 0.000000 0.001300 -0.001185 0.000000 + "VCSIM.6R8.J.B1" 214.798000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAF.6R8.A.B1" 214.798000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMZAF.6R8.B.B1" 215.098000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.C.B1" 215.098000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.D.B1" 222.098000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.A.B1" 222.098000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.B.B1" 222.398000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCS.6R8.A.B1" 222.398000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCS.6R8.B.B1" 228.454000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R8.C.B1" 228.454000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAE.6R8.D.B1" 228.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCT.6R8.A.B1" 228.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCT.6R8.B.B1" 229.454000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.C.B1" 229.454000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.D.B1" 229.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.E.B1" 229.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.F.B1" 236.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R8.A.B1" 236.754000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6R8.B.B1" 237.044000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R8.C.B1" 237.049000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R8.A.B1" 237.129000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6R8.D.B1" 237.134000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6R8.B.B1" 237.389000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.C.B1" 237.389000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.D.B1" 237.409000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R8.A.B1" 237.758655 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R8.B.B1" 248.595255 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"VMAAE.7R8.B.B1" 253.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R8.A.B1" 253.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R8.B.B1" 260.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R8.A.B1" 260.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R8.B.B1" 260.485000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R8.A.B1" 260.485000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R8.B.B1" 267.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R8.A.B1" 267.185000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R8.B.B1" 267.485000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.A.B1" 267.485000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.B.B1" 267.560000 -0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.C.B1" 267.820000 -0.194000 0.000000 0.000000 0.000000 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0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.1L8.B.B2" -21.740000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLA.1L8.A.B2" -21.455000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLA.1L8.B.B2" -20.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLD.1L8.A.B2" -20.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLD.1L8.B.B2" -20.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACK.1L8.A.B2" -20.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACK.1L8.B.B2" -19.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBU.1L8.A.B2" -19.800000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBU.1L8.B.B2" -14.670000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.1L8.A.B2" -14.670000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.1L8.B.B2" -14.470000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.1L8.A.B2" -14.470000 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0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBV.1L8.B.B2" -1.079000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.1L8.C.B2" -1.079000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.1L8.D.B2" -0.879000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8A.1R8.A.B2" 2.797500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8B.1R8.A.B2" 2.797500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8B.1R8.B.B2" 3.223000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8C.1R8.A.B2" 3.223000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8C.1R8.B.B2" 6.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8D.1R8.A.B2" 6.900000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8D.1R8.B.B2" 7.050000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8E.1R8.A.B2" 7.050000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8E.1R8.B.B2" 13.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8F.1R8.A.B2" 13.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8F.1R8.B.B2" 14.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8G.1R8.A.B2" 14.400000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VC8G.1R8.B.B2" 19.730000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.1R8.A.B2" 19.730000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.1R8.B.B2" 19.805000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABJ.1R8.A.B2" 19.805000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABJ.1R8.B.B2" 20.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLD.1R8.A.B2" 20.100000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLD.1R8.B.B2" 20.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLA.1R8.A.B2" 20.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLA.1R8.B.B2" 21.455000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.1R8.A.B2" 21.740000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.1R8.B.B2" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX.1R8.A.B2" 21.915000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAX.1R8.B.B2" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R8.A.B2" 22.105000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSF.1R8.B.B2" 22.180000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R8.A.B2" 22.554408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSL.1R8.B.B2" 31.213408 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R8.A.B2" 31.656574 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.2R8.B.B2" 44.852274 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R8.A.B2" 45.044300 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.3R8.B.B2" 54.763000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R8.A.B2" 54.949600 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.3R8.B.B2" 57.566300 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.4R8.A.B2" 57.753313 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBX.4R8" 63.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSK.4R8.B.B2" 68.557713 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R8.A.B2" 69.098000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.A.B2" 69.298000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.4R8.B.B2" 69.298000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.B2" 69.440500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4R8.B.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R8.A.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4R8.B.B2" 69.843000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R8.A.B2" 69.863000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R8.A.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4R8.B.B2" 69.948000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4R8.B.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCDDM.4R8" 71.358000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.A.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.B.B2" 73.008000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.C.B2" 74.488000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4R8.D.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R8.A.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4R8.B.B2" 75.768000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4R8.A.B2" 75.768000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWB.4R8.B.B2" 76.533000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.A.B2" 76.533000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.B.B2" 76.933000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.A.B2" 76.933000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.B.B2" 77.233000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.A.B2" 77.233000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.B.B2" 77.633000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4R8.A.B2" 77.633000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCN.4R8.B.B2" 78.133000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4R8.A.B2" 78.740500 0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4R8.B2" 80.833000 0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TDI.4R8.B.B2" 82.925500 0.135000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4R8.A.B2" 83.533000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCG.4R8.B.B2" 84.033000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.C.B2" 84.033000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.D.B2" 84.433000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.C.B2" 84.433000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWE.4R8.D.B2" 84.733000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.E.B2" 84.733000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4R8.A.B2" 85.133000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.F.B2" 85.133000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.4R8.B.B2" 85.158000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVST.A4R8" 85.441000 0.137000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.C.B2" 85.733000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.D.B2" 86.133000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCI.4R8.A.B2" 86.133000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCI.4R8.B.B2" 86.908000 0.057000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.A.B2" 86.908000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.B.B2" 92.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.E.B2" 92.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.F.B2" 93.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.C.B2" 93.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.D.B2" 99.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R8.A.B2" 99.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4R8.B.B2" 99.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.E.B2" 99.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.F.B2" 105.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.G.B2" 105.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4R8.H.B2" 105.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.G.B2" 105.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4R8.H.B2" 111.708000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.G.B2" 111.708000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4R8.H.B2" 112.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.A.B2" 112.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.B.B2" 112.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.C.B2" 113.022000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.D.B2" 113.023000 0.152500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.E.B2" 114.207000 0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.F.B2" 114.257000 0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYC.4R8.G.B2" 114.308000 0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAA.4R8.A.B2" 114.308000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGAA.4R8.B.B2" 114.488000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTC.4R8.A.B2" 114.488000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDTC.4R8.B.B2" 116.973000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R8.A.B2" 116.973000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R8.A.B2" 117.493000 0.180300 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.4R8.B.B2" 117.493000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R8.B2" 118.233000 0.181450 0.000000 0.000000 0.000000 0.000000 0.000000 + "TCTH.4R8.B.B2" 118.973000 0.182600 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTND.4R8.A.B2" 118.973000 0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWI.4R8.A.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTND.4R8.B.B2" 119.493000 0.183000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWI.4R8.B2" 119.673500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWI.4R8.B.B2" 119.778000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4R8.A.B2" 120.073000 0.187000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.4R8.B.B2" 120.158000 0.187000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R8.A.B2" 120.158000 0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4R8.B.B2" 120.418000 0.188000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R8.A.B2" 121.003141 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4R8.B2" 126.403000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4R8.B.B2" 131.707841 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R8.A.B2" 131.915965 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4R8.B.B2" 143.996065 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.A.B2" 144.526000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.B.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R8.A.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.5R8.B.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.A.B2" 144.811000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.B.B2" 144.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5R8.A.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.5R8.B.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACE.5R8.A.B2" 145.681000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACE.5R8.B.B2" 145.981000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.5R8.A.B2" 146.266000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABA.5R8.B.B2" 146.466000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLH.5R8.A.B2" 146.466000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLH.5R8.B.B2" 146.622000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.C.B2" 146.622000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.D.B2" 146.697000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.E.B2" 150.111000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.F.B2" 150.186000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.A.B2" 150.186000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.B.B2" 150.286000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.A.B2" 150.286000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.B.B2" 150.586000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.G.B2" 150.586000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.H.B2" 150.661000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.I.B2" 154.075000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.J.B2" 154.150000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.C.B2" 154.150000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.D.B2" 154.250000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.C.B2" 154.250000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.D.B2" 154.550000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.K.B2" 154.550000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.L.B2" 154.625000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.M.B2" 158.039000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.N.B2" 158.114000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.E.B2" 158.114000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLL.5R8.F.B2" 158.214000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.E.B2" 158.214000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABF.5R8.F.B2" 158.514000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.O.B2" 158.514000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.P.B2" 158.589000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.Q.B2" 162.003000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.R.B2" 162.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACF.5R8.A.B2" 162.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACF.5R8.B.B2" 162.378000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCW.5R8.A.B2" 162.378000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCW.5R8.B.B2" 163.026000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R8.A.B2" 163.526000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.5R8.B.B2" 163.816000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.S.B2" 163.821000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.5R8.T.B2" 163.896000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R8.A.B2" 163.901000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.5R8.B.B2" 164.161000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.C.B2" 164.161000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5R8.D.B2" 164.181000 0.194000 0.000000 0.000000 0.001200 -0.000249 0.000000 + "BPMYB.5R8.A.B2" 164.519000 0.194000 0.000000 0.000000 0.001120 -0.000249 0.000000 + "BPMYB.5R8.B2" 164.642000 0.194000 0.000000 0.000000 0.001080 -0.000249 0.000000 + "BPMYB.5R8.B.B2" 164.687000 0.194000 0.000000 0.000000 0.001070 -0.000249 0.000000 + "VSSG.5R8.A.B2" 164.710904 0.194000 0.000000 0.000000 0.001070 -0.000249 0.000000 + "MQY.A5R8.B2" 167.336000 0.194000 0.000000 0.000000 0.000837 -0.000249 0.000000 + "MQY.B5R8.B2" 171.117000 0.194000 0.000000 0.000000 -0.000106 -0.000249 0.000000 + "MCBYH.A5R8.B2" 173.464000 0.194000 0.000000 0.000000 -0.001000 -0.000249 0.000000 + "MCBYV.5R8.B2" 174.610000 0.194000 0.000000 0.000000 -0.001290 -0.000249 0.000000 + "MCBYH.B5R8.B2" 175.757000 0.194000 0.000000 0.000000 -0.001580 -0.000249 0.000000 + "VSSG.5R8.B.B2" 176.791004 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.A.B2" 177.145000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.B.B2" 177.165000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R8.A.B2" 177.165000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.6R8.B.B2" 177.425000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R8.A.B2" 177.430000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R8.B.B2" 177.505000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R8.A.B2" 177.510000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.6R8.B.B2" 177.800000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.A.B2" 177.800000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.B.B2" 184.800000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANE.6R8.A.B2" 184.800000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANE.6R8.B.B2" 185.100000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJE.6R8.A.B2" 185.100000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDJE.6R8.B.B2" 191.498000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BTVSS.6R8.A.B2" 191.798000 0.194000 0.000000 0.000000 -0.005850 0.000000 0.000000 + "BTVSS.6R8.B2" 192.173000 0.194000 0.000000 0.000000 -0.005850 0.000000 0.000000 + "BTVSS.6R8.B.B2" 192.548000 0.194000 0.000000 0.000000 -0.005850 0.000000 0.000000 + "VAMSA.6R8.A.B2" 192.548000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSA.6R8.B.B2" 192.848000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIH.6R8.A.B2" 192.848000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.A6R8.B2" 194.923000 0.194000 0.000000 0.000000 0.010300 -0.001183 0.000000 + "VCSIH.6R8.B.B2" 196.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSB.6R8.A.B2" 196.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSB.6R8.B.B2" 197.298000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSII.6R8.A.B2" 197.298000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIA.B6R8.B2" 199.373000 0.194000 0.000000 0.000000 0.005000 -0.001183 0.000000 + "VCSII.6R8.B.B2" 201.448000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSD.6R8.A.B2" 201.448000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSD.6R8.B.B2" 201.748000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIJ.6R8.A.B2" 201.748000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.A6R8.B2" 203.823000 0.194000 0.000000 0.000000 0.009300 -0.001185 0.000000 + "VCSIJ.6R8.B.B2" 205.898000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSE.6R8.A.B2" 205.898000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSE.6R8.B.B2" 206.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIK.6R8.A.B2" 206.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.B6R8.B2" 208.273000 0.194000 0.000000 0.000000 0.004000 -0.001185 0.000000 + "VCSIK.6R8.B.B2" 210.348000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSE.6R8.C.B2" 210.348000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMSE.6R8.D.B2" 210.648000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCSIL.6R8.A.B2" 210.648000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MSIB.C6R8.B2" 212.723000 0.194000 0.000000 0.000000 0.001300 -0.001185 0.000000 + "VCSIL.6R8.B.B2" 214.798000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCW.6R8.A.B2" 214.798000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCW.6R8.B.B2" 214.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R8.A.B2" 214.998000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAA.6R8.B.B2" 215.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEO.6R8.A.B2" 215.198000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDEO.6R8.B.B2" 222.098000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.A.B2" 222.098000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.B.B2" 222.398000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCS.6R8.A.B2" 222.398000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCS.6R8.B.B2" 228.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R8.A.B2" 228.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6R8.B.B2" 228.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCT.6R8.A.B2" 228.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCT.6R8.B.B2" 229.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.C.B2" 229.454000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6R8.D.B2" 229.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.C.B2" 229.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6R8.D.B2" 236.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R8.A.B2" 236.754000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.6R8.B.B2" 237.044000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R8.C.B2" 237.049000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.6R8.D.B2" 237.124000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R8.A.B2" 237.129000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABD.6R8.B.B2" 237.389000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.C.B2" 237.389000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6R8.D.B2" 237.409000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R8.A.B2" 237.758655 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6R8.B.B2" 248.595255 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.A.B2" 249.418000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.B.B2" 249.438000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R8.A.B2" 249.438000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.7R8.B.B2" 249.698000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.A.B2" 249.703000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.B.B2" 249.778000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R8.A.B2" 249.783000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACD.7R8.B.B2" 250.073000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCR.7R8.A.B2" 250.073000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCR.7R8.B.B2" 252.885000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R8.A.B2" 252.885000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7R8.B.B2" 253.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R8.A.B2" 253.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.7R8.B.B2" 260.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R8.A.B2" 260.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.7R8.B.B2" 260.485000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R8.A.B2" 260.485000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7R8.B.B2" 267.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R8.A.B2" 267.185000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R8.B.B2" 267.485000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.C.B2" 267.485000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.D.B2" 267.560000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.C.B2" 267.820000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.D.B2" 267.840000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R8.A.B2" 268.263900 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R8.B.B2" 270.466200 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R8.A.B2" 271.145410 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R8.B.B2" 280.580610 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/offsets/offset.ip8.b4.tfs b/examples/aperture_model/benchmark1/offsets/offset.ip8.b4.tfs new file mode 100644 index 000000000..f197bec86 --- /dev/null +++ b/examples/aperture_model/benchmark1/offsets/offset.ip8.b4.tfs @@ -0,0 +1,531 @@ +@ NAME %06s "OFFSET" +@ TYPE %06s "OFFSET" +@ REFERENCE %10s "S.DS.R8.B2" +@ DATE %08s "8/10/9" +@ TIME %21s "16:41:3" +* NAME S_IP X_OFF DX_OFF DDX_OFF Y_OFF DY_OFF DDY_OFF +$ %s %le %le %le %le %le %le %le + "S.DS.R8.B2" -280.635000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R8.B.B2" -280.580610 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7R8.A.B2" -271.145410 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R8.B.B2" -270.466200 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7R8.A.B2" -268.263900 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.D.B2" -267.840000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7R8.C.B2" -267.820000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7R8.D.B2" -267.560000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7R8.B.B2" -267.485000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 + 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69.440500 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMSX.4L8.A.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L8.B.B2" 69.583000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L8.B.B2" 69.843000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.4L8.A.B2" 69.843000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L8.B.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSW.4L8.A.B2" 69.928000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCF.4L8.B.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.4L8.A.B2" 70.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.F.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCF.4L8.A.B2" 72.228000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.E.B2" 73.008000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.D.B2" 74.488000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.C.B2" 75.268000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.B.B2" 76.748000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4L8.B.B2" 77.528000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VAMTF.4L8.A.B2" 77.528000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWA.4L8.B.B2" 78.028000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTCP.4L8.A.B2" 78.028000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.F.B2" 80.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDWA.4L8.A.B2" 80.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.J.B2" 80.608000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.E.B2" 80.608000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.D.B2" 86.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.I.B2" 86.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.H.B2" 86.908000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.C.B2" 86.908000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4L8.B.B2" 92.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.G.B2" 92.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.F.B2" 93.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGC.4L8.A.B2" 93.208000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L8.D.B2" 99.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.E.B2" 99.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.D.B2" 99.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L8.C.B2" 99.508000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L8.B.B2" 105.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.C.B2" 105.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.B.B2" 105.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGG.4L8.A.B2" 105.808000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.B.B2" 111.708000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDW.4L8.A.B2" 111.708000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.F.B2" 112.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMBGA.4L8.A.B2" 112.108000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.E.B2" 112.408000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.D.B2" 113.022000 0.097000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.C.B2" 113.023000 0.152500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.B.B2" 113.308000 0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDB.4L8.B.B2" 114.308000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTYA.4L8.A.B2" 114.308000 0.178500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSA.4L8.B.B2" 114.588000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDB.4L8.A.B2" 114.588000 0.177000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4L8.B.B2" 116.693000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDSA.4L8.A.B2" 116.693000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLE.4L8.B.B2" 116.873000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGDA.4L8.A.B2" 116.873000 0.180000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L8.B.B2" 119.313000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCRLE.4L8.A.B2" 119.313000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L8.D.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMGBA.4L8.A.B2" 119.493000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L8.C.B2" 119.551000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L8.B2" 119.597500 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L8.B.B2" 119.720000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "BPMWB.4L8.A.B2" 119.778000 0.184000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4L8.B.B2" 119.778000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L8.B.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMABC.4L8.A.B2" 120.078000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4L8.B.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.4L8.A.B2" 120.153000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMARD.4L8.A.B2" 120.413000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4L8.B.B2" 121.003144 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "MBRC.4L8.B2" 126.403000 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSJ.4L8.A.B2" 131.707844 0.191000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L8.B.B2" 131.915996 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.4L8.A.B2" 143.996096 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L8.D.B2" 144.526000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5L8.B.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L8.C.B2" 144.546000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L8.D.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.5L8.A.B2" 144.806000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L8.B.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L8.C.B2" 144.891000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDC.5L8.B.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.5L8.A.B2" 145.181000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L8.D.B2" 148.911000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDDC.5L8.A.B2" 148.911000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L8.B.B2" 149.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L8.C.B2" 149.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5L8.B.B2" 156.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.5L8.A.B2" 156.211000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLN.5L8.B.B2" 156.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.5L8.A.B2" 156.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L8.B.B2" 160.626000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDLN.5L8.A.B2" 160.626000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNT.5L8.B.B2" 160.926000 0.201500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.5L8.A.B2" 160.926000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L8.B.B2" 161.126000 0.201500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNT.5L8.A.B2" 161.126000 0.201500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNR.5L8.B.B2" 163.311000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCELH.5L8.A.B2" 163.311000 0.201500 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L8.B.B2" 163.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCTNR.5L8.A.B2" 163.511000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L8.B.B2" 163.801000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.5L8.A.B2" 163.801000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5L8.B.B2" 163.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.5L8.A.B2" 163.886000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L8.B.B2" 164.146000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.5L8.A.B2" 164.146000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.5L8.A.B2" 164.166000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L8.B.B2" 164.988771 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.5L8.A.B2" 176.777871 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L8.B.B2" 177.150000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L8.D.B2" 177.410000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.6L8.A.B2" 177.410000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6L8.B.B2" 177.495000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L8.C.B2" 177.495000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L8.D.B2" 177.765000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.H.B2" 177.785000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L8.C.B2" 177.785000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.6L8.A.B2" 177.785000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.H.B2" 184.785000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.G.B2" 184.785000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.F.B2" 185.085000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.G.B2" 185.085000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L8.D.B2" 192.085000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.E.B2" 192.085000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.D.B2" 192.385000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L8.C.B2" 192.385000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.F.B2" 199.385000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.C.B2" 199.385000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.B.B2" 199.685000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.E.B2" 199.685000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L8.B.B2" 206.685000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDA.6L8.A.B2" 206.685000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBD.6L8.B.B2" 206.985000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.6L8.A.B2" 206.985000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.D.B2" 208.183000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBD.6L8.A.B2" 208.183000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.6L8.B.B2" 208.483000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.C.B2" 208.483000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L8.D.B2" 215.423000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQG.6L8.A.B2" 215.423000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L8.C.B2" 215.943000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L8.B.B2" 217.423000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQE.6L8.B.B2" 217.943000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMTIA.6L8.A.B2" 217.943000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.B.B2" 222.628000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDQE.6L8.A.B2" 222.628000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAB.6L8.A.B2" 222.928000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L8.B.B2" 223.928000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L8.B.B2" 224.218000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMANC.6L8.A.B2" 224.218000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L8.B.B2" 224.303000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.6L8.A.B2" 224.303000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L8.B.B2" 224.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOD.6L8.A.B2" 224.563000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.6L8.A.B2" 224.583000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L8.B.B2" 225.405745 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.6L8.A.B2" 236.242345 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L8.D.B2" 236.592000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L8.B.B2" 236.612000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L8.C.B2" 236.612000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L8.B.B2" 236.872000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAOC.7L8.A.B2" 236.872000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L8.B.B2" 236.957000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGSH.7L8.A.B2" 236.957000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBS.7L8.B.B2" 237.247000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAND.7L8.A.B2" 237.247000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L8.B.B2" 238.245000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDBS.7L8.A.B2" 238.245000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L8.B.B2" 238.545000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMAAF.7L8.A.B2" 238.545000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L8.B.B2" 245.245000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VCDCH.7L8.A.B2" 245.245000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L8.B.B2" 245.545000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VMACC.7L8.A.B2" 245.545000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VVGST.7L8.A.B2" 245.620000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L8.B.B2" 245.880000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VFCDO.7L8.A.B2" 245.900000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L8.B.B2" 246.232200 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSG.7L8.A.B2" 247.934300 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L8.B.B2" 248.129390 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "VSSB.7L8.A.B2" 257.564590 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 + "E.DS.L8.B2" 258.195000 0.194000 0.000000 0.000000 0.000000 0.000000 0.000000 diff --git a/examples/aperture_model/benchmark1/readme b/examples/aperture_model/benchmark1/readme new file mode 100644 index 000000000..a50835cbb --- /dev/null +++ b/examples/aperture_model/benchmark1/readme @@ -0,0 +1,3 @@ +1. First need to `git clone https://github.com/lhcopt/hllhc15.git slhc` or make a link to a pre-existing `slhc` +2. Compute aperture data with `madx job_compute_aperture.madx` +3. Build Xsuite model with `python job_make_xsuite_json.py` diff --git a/examples/aperture_model/benchmark2/.gitignore b/examples/aperture_model/benchmark2/.gitignore new file mode 100644 index 000000000..7cb11f0da --- /dev/null +++ b/examples/aperture_model/benchmark2/.gitignore @@ -0,0 +1,5 @@ +acc-models-lhc +d2_aperture +temp/ +twiss_lhcb1.tfs +twiss_lhcb2.tfs diff --git a/examples/aperture_model/benchmark2/000_ap_irs.py b/examples/aperture_model/benchmark2/000_ap_irs.py new file mode 100644 index 000000000..cf27c1284 --- /dev/null +++ b/examples/aperture_model/benchmark2/000_ap_irs.py @@ -0,0 +1,135 @@ +import xtrack as xt +from xtrack.aperture import Aperture +from xobjects import ContextCpu +from lhcoptics import LHCOptics +import matplotlib.pyplot as plt +import numpy as np +from xdeps import Table + +base = "./acc-models-lhc/" # "https://cern.ch/acc-models/lhc/hl19/" +lhc = xt.load(f"{base}/xsuite/lhc_aperture.json") +lhc.vars.load(f"{base}/strengths/cycle_round_v0/opt_6000.madx") +lhc.set_particle_ref(p0c=450e9) + +lhc.vars.update({ + 'on_sep1v': 2, + 'on_x1hs': 295, + 'on_sep5h': 2, + 'on_x5vs': 295, + 'on_sep2h': -3.5, + 'on_x2v': 170, + 'on_a2h': 40, + 'on_alice': 7000/450, + 'on_sep8v': -3.5, + 'on_x8h': -170, + 'on_a8v': -40, + 'on_lhcb': 7000/450, +}) + +opt = LHCOptics.from_xsuite(lhc) + +mad = opt.make_madx_model() +apm = mad.get_ap_irs() + +# load in metadata +lhc.b1.metadata["aperture_offsets"] = {} +lhc.b2.metadata["aperture_offsets"] = {} +for ipn in range(1, 9): + for beam in "14": + tfs = Table.from_tfs(f"./temp/offset.ip{ipn}.b{beam}.tfs") + line = lhc.b1 if beam == "1" else lhc.b2 + line.metadata["aperture_offsets"][f"ip{ipn}"] = tfs._data.copy() + +context = ContextCpu(omp_num_threads='auto') + +lines = { + "b1": lhc.b1, + #"b2": lhc.b2, +} +apertures = { + beam: Aperture.from_line_with_madx_metadata( + line, + num_profile_points=100, + include_offsets=True, + context=context, + ) + for beam, line in lines.items() +} +line_tables = {beam: line.get_table() for beam, line in lines.items()} + + +def _get_nearest_element_name(line_table, s_position): + idx = np.searchsorted(np.asarray(line_table.s, dtype=float), s_position, side="right") - 1 + idx = int(np.clip(idx, 0, len(line_table.name) - 1)) + return line_table.name[idx] + + +for ir_name in sorted(apm): + ir = apm[ir_name] + beam = ir_name[-2:] + + if beam == 'b2': + continue + + line = lines[beam] + line_table = line_tables[beam] + aperture = apertures[beam] + + aperture.halo_params.update( + { + "emitx_norm": ir.exn, + "emity_norm": ir.eyn, + "delta_rms": ir.dp_bucket_size, + "tol_co": ir.co_radius, + "tol_disp": ir.paras_dx, # MAD-X has different settings for x/y + "tol_disp_ref": ir.dqf, + "tol_disp_ref_beta": ir.betaqfx, + "tol_beta_beating": ir.beta_beating, # MAD-X has different settings for x/y + } + ) + + ip_name = f"ip{ir_name[2]}" + s_ip_m = ir.rows[f"{ip_name}.*"].s[0] + s_ip_x = line_table.rows[f"{ip_name}.*"].s[0] + s_local = np.asarray(ir.s - s_ip_m, dtype=float) + s_positions = np.mod(s_local + s_ip_x, line.get_length()) + order = np.argsort(s_positions) + undo_order = np.empty_like(order) + undo_order[order] = np.arange(len(order)) + + n1_table, _ = aperture.get_aperture_sigmas_at_s( + s_positions=s_positions[order], + method="rays", + ) + sigmas = np.asarray(n1_table.n1[undo_order], dtype=float) + s_positions_ring = np.asarray(n1_table.s[undo_order], dtype=float) + + min_idx = int(np.argmin(sigmas)) + min_n1 = float(sigmas[min_idx]) + min_s = float(s_positions_ring[min_idx]) + element_name = ( + ir.name[min_idx] + if hasattr(ir, "name") and len(ir.name) == len(sigmas) + else _get_nearest_element_name(line_table, min_s) + ) + print(f"{ir_name}: min n1={min_n1:.3f} at {element_name} (s={min_s:.6f} m)") + + fig, axs = plt.subplots(3, 1, sharex=True) + axs[0].plot( + s_local, np.where(ir.n1 > 9e5, np.inf, ir.n1), label='n1 (MAD-X)' + ) + axs[0].plot(s_local, sigmas, label='n1 (Xtrack)') + axs[0].set_ylabel(r'max beam size [$\sigma$]') + axs[0].legend() + + aperture.plot_extents( + s_positions=s_positions, + sigmas=min_n1, + plot_s_positions=s_local, + axs=axs[1:], + ) + axs[1].set_title(ir_name) + axs[2].set_xlabel(f's - {ip_name} [m]') + + fig.tight_layout() + plt.show() diff --git a/examples/aperture_model/benchmark2/001_cross_sections.py b/examples/aperture_model/benchmark2/001_cross_sections.py new file mode 100644 index 000000000..6b9fe3d69 --- /dev/null +++ b/examples/aperture_model/benchmark2/001_cross_sections.py @@ -0,0 +1,92 @@ +import matplotlib.pyplot as plt +import numpy as np +import xtrack as xt +from lhcoptics import LHCOptics +from xdeps import Table +from xobjects import ContextCpu +from xtrack.aperture import Aperture + + +base = "./acc-models-lhc/" +lhc = xt.load(f"{base}/xsuite/lhc_aperture.json") +lhc.vars.load(f"{base}/strengths/cycle_round_v0/opt_6000.madx") +lhc.set_particle_ref(p0c=450e9) + +lhc.b1.metadata["aperture_offsets"] = {} +lhc.b2.metadata["aperture_offsets"] = {} +for ipn in range(1, 9): + for beam in "14": + tfs = Table.from_tfs(f"./temp/offset.ip{ipn}.b{beam}.tfs") + line = lhc.b1 if beam == "1" else lhc.b2 + line.metadata["aperture_offsets"][f"ip{ipn}"] = tfs._data.copy() + +opt = LHCOptics.from_xsuite(lhc) +mad = opt.make_madx_model() + +context = ContextCpu(omp_num_threads="auto") +b1 = lhc.b1 +apx = Aperture.from_line_with_madx_metadata( + b1, + num_profile_points=100, + include_offsets=True, + context=context, +) + +target_name = "mbrb.5l4.b1" +resolution = 0.1 + +xs_name, = b1.get_table().rows[f"{target_name}.*"].name + +n1_table, twiss = apx.get_aperture_sigmas_at_element( + element_name=xs_name, + resolution=resolution, + method="bisection", + output_cross_sections=True, + output_max_envelopes=True, +) +sigmas = n1_table.n1 +cross_sections = n1_table.cross_section +max_envelope = n1_table.envelope + +cross_sections_table = apx.cross_sections_at_element( + element_name=xs_name, + resolution=resolution, +) +cross_sections_ref = cross_sections_table.cross_section + +ap_centre = (np.min(cross_sections_ref, axis=1) + np.max(cross_sections_ref, axis=1)) / 2 + +plt.figure() +for pt, ct in zip(cross_sections_ref, ap_centre): + plt.plot( + pt[:, 0] - ct[0], + pt[:, 1] - ct[1], + c="gray", + linestyle="--", + label="aperture" if np.all(ct == ap_centre[0]) else "", + ) + +for pt, ct in zip(max_envelope, ap_centre): + plt.plot( + pt[:, 0] - ct[0], + pt[:, 1] - ct[1], + c="cyan", + linestyle=":", + label="beam envelope" if np.all(ct == ap_centre[0]) else "", + ) + +plt.gca().set_aspect("equal") +plt.xlabel("x [m] relative to aperture centre") +plt.ylabel("y [m] relative to aperture centre") +plt.suptitle(xs_name) +plt.title( + f"bisection n1 min = {np.min(sigmas):.5f}, " + f"s = [{twiss.s[0]:.3f}, {twiss.s[-1]:.3f}] m" +) +plt.legend() +plt.show() + +print(f"Target element: {xs_name}") +print(f"s range: {twiss.s[0]:.6f} .. {twiss.s[-1]:.6f} m") +print(f"min sigma: {np.min(sigmas):.8f}") +print(f"max sigma: {np.max(sigmas):.8f}") diff --git a/examples/aperture_model/benchmark2/002_compare_ir_n1.py b/examples/aperture_model/benchmark2/002_compare_ir_n1.py new file mode 100644 index 000000000..a79d11216 --- /dev/null +++ b/examples/aperture_model/benchmark2/002_compare_ir_n1.py @@ -0,0 +1,131 @@ +import matplotlib.pyplot as plt +import numpy as np +import xtrack as xt +from lhcoptics import LHCOptics +from xdeps import Table +from xobjects import ContextCpu +from xtrack.aperture import Aperture + +which_ir = '2' + +base = "./acc-models-lhc/" + +lhc = xt.load(f"{base}/xsuite/lhc_aperture.json") +lhc.vars.load(f"{base}/strengths/cycle_round_v0/opt_6000.madx") +lhc.set_particle_ref(p0c=450e9) + +opt = LHCOptics.from_xsuite(lhc) +mad = opt.make_madx_model() +apm = mad.get_ap_irs() + +lhc.b1.metadata["aperture_offsets"] = {} +lhc.b2.metadata["aperture_offsets"] = {} +for ipn in range(1, 9): + for beam in "14": + tfs = Table.from_tfs(f"./temp/offset.ip{ipn}.b{beam}.tfs") + line = lhc.b1 if beam == "1" else lhc.b2 + line.metadata["aperture_offsets"][f"ip{ipn}"] = tfs._data.copy() + +ir = apm[f"ir{which_ir}b1"] + +context = ContextCpu(omp_num_threads="auto") +b1 = lhc.b1 +aperture_model = Aperture.from_line_with_madx_metadata( + b1, + num_profile_points=100, + include_offsets=True, + context=context, +) + +aperture_model.halo_params.update( + { + "emitx_norm": ir.exn, + "emity_norm": ir.eyn, + "delta_rms": ir.dp_bucket_size, + "tol_co": ir.co_radius, + "tol_disp": ir.paras_dx, + "tol_disp_ref": ir.dqf, + "tol_disp_ref_beta": ir.betaqfx, + "tol_beta_beating": ir.beta_beating, + } +) + +s_ip_m, = ir.rows[f"ip{which_ir}:1"].s +s_ip_x, = b1.get_table().rows[f"ip{which_ir}"].s +s_positions = np.array(ir.s - s_ip_m + s_ip_x, dtype=float) +n1_madx = np.array(ir.n1, dtype=float) + +n1_rays, twiss = aperture_model.get_aperture_sigmas_at_s( + s_positions=s_positions, + method="rays", +) +sigmas_rays = n1_rays.n1 +# n1_bisection, _ = aperture_model.get_aperture_sigmas_at_s( +# s_positions=s_positions, +# method="bisection", +# envelopes_num_points=36, +# ) +# sigmas_bisection = n1_bisection.n1 +n1_exact, _ = aperture_model.get_aperture_sigmas_at_s( + s_positions=s_positions, + method="exact", + num_rays=32, +) +sigmas_exact = n1_exact.n1 + +n1_madx_plot = np.where(n1_madx > 9e5, np.inf, n1_madx) + +fig, (ax_top, ax_middle, ax_bottom) = plt.subplots( + 3, + 1, + sharex=True, + figsize=(10, 9), + height_ratios=[3, 2, 1], +) + +ax_top.plot(s_positions, n1_madx_plot, label="n1 (MAD-X)", lw=1.5) +ax_top.plot(s_positions, sigmas_rays, label="n1 (Xtrack rays)", linestyle="--", lw=1.5) +# ax_top.plot(s_positions, sigmas_bisection, label="n1 (Xtrack bisection)", linestyle=":", lw=1.5) +ax_top.plot(s_positions, sigmas_exact, label="n1 (Xtrack exact)", linestyle="-.", lw=1.5) +ax_top.set_ylabel(r"max beam size [$\sigma$]") +ax_top.set_title(f"IR{which_ir} B1 aperture comparison") +ax_top.legend() +ax_top.grid(True) + +ax_middle.plot(s_positions, twiss.betx, label=r"$\beta_x$", lw=1.2) +ax_middle.plot(s_positions, twiss.bety, label=r"$\beta_y$", lw=1.2) +ax_middle.plot(s_positions, twiss.x * 1e3, label=r"$x_{co}$ [mm]", lw=1.2) +ax_middle.plot(s_positions, twiss.y * 1e3, label=r"$y_{co}$ [mm]", lw=1.2) +ax_middle.set_ylabel("Twiss / CO") +ax_middle.grid(True) +ax_middle.legend() + +ax_bottom.plot( + s_positions, + n1_madx_plot - sigmas_exact, + lw=1.2, + linestyle="-", + label=r"$\Delta n_1$ (MAD-X - exact)", +) +ax_bottom.plot( + s_positions, + sigmas_rays - sigmas_exact, + lw=1.2, + linestyle="--", + label=r"$\Delta n_1$ (rays - exact)", +) +# ax_bottom.plot( +# s_positions, +# sigmas_bisection - sigmas_exact, +# lw=1.2, +# linestyle=":", +# label=r"$\Delta n_1$ (bisection - exact)", +# ) +ax_bottom.axhline(0.0, color="k", lw=0.8, linestyle="--") +ax_bottom.set_xlabel("s [m]") +ax_bottom.set_ylabel(r"$\Delta n_1$") +ax_bottom.grid(True) +ax_bottom.legend() + 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"mo.22l8.b1", + "drift_5575/b1", + "mq.22l8.b1", + "drift_5576/b1", + "ms.22l8.b1", + "drift_5577/b1", + "mcbv.22l8.b1", + "drift_5578/b1", + "mb.c22l8.b1", + "drift_5579/b1", + "mcs.c22l8.b1", + "drift_5580/b1", + "mco.22l8.b1", + "drift_5581/b1", + "mcd.22l8.b1", + "drift_5582/b1", + "mb.b22l8.b1", + "drift_5583/b1", + "mcs.b22l8.b1", + "drift_5584/b1", + "mb.a22l8.b1", + "drift_5585/b1", + "mcs.a22l8.b1", + "drift_5586/b1", + "bpm.21l8.b1", + "drift_5587/b1", + "mqt.21l8.b1", + "drift_5588/b1", + "mq.21l8.b1", + "drift_5589/b1", + "ms.21l8.b1", + "drift_5590/b1", + "mcbh.21l8.b1", + "drift_5591/b1", + "mco.b21l8.b1", + "drift_5592/b1", + "mcd.b21l8.b1", + "drift_5593/b1", + "mb.c21l8.b1", + "drift_5594/b1", + "mcs.c21l8.b1", + "drift_5595/b1", + "mb.b21l8.b1", + "drift_5596/b1", + "mcs.b21l8.b1", + "drift_5597/b1", + "mco.a21l8.b1", + "drift_5598/b1", + "mcd.a21l8.b1", + "drift_5599/b1", + "mb.a21l8.b1", + "drift_5600/b1", + "mcs.a21l8.b1", + "drift_5601/b1", + "bpm.20l8.b1", + "drift_5602/b1", + "mqt.20l8.b1", + "drift_5603/b1", + "mq.20l8.b1", + "drift_5604/b1", + "ms.20l8.b1", + "drift_5605/b1", + "mcbv.20l8.b1", + "drift_5606/b1", + "mb.c20l8.b1", + "drift_5607/b1", + "mcs.c20l8.b1", + "drift_5608/b1", + "mco.20l8.b1", + "drift_5609/b1", + "mcd.20l8.b1", + "drift_5610/b1", + "mb.b20l8.b1", + "drift_5611/b1", + "mcs.b20l8.b1", + "drift_5612/b1", + "mb.a20l8.b1", + "drift_5613/b1", + "mcs.a20l8.b1", + "drift_5614/b1", + "bpm.19l8.b1", + "drift_5615/b1", + "mqt.19l8.b1", + "drift_5616/b1", + "mq.19l8.b1", + "drift_5617/b1", + "ms.19l8.b1", + "drift_5618/b1", + "mcbh.19l8.b1", + "drift_5619/b1", + "mco.b19l8.b1", + "drift_5620/b1", + "mcd.b19l8.b1", + "drift_5621/b1", + "mb.c19l8.b1", + "drift_5622/b1", + "mcs.c19l8.b1", + "drift_5623/b1", + "mb.b19l8.b1", + "drift_5624/b1", + "mcs.b19l8.b1", + "drift_5625/b1", + "mco.a19l8.b1", + "drift_5626/b1", + "mcd.a19l8.b1", + "drift_5627/b1", + "mb.a19l8.b1", + "drift_5628/b1", + "mcs.a19l8.b1", + "drift_5629/b1", + "bpm.18l8.b1", + "drift_5630/b1", + "mqt.18l8.b1", + "drift_5631/b1", + "mq.18l8.b1", + "drift_5632/b1", + "ms.18l8.b1", + "drift_5633/b1", + "mcbv.18l8.b1", + "drift_5634/b1", + "mb.c18l8.b1", + "drift_5635/b1", + "mcs.c18l8.b1", + "drift_5636/b1", + "mco.18l8.b1", + "drift_5637/b1", + "mcd.18l8.b1", + "drift_5638/b1", + "mb.b18l8.b1", + "drift_5639/b1", + "mcs.b18l8.b1", + "drift_5640/b1", + "mb.a18l8.b1", + "drift_5641/b1", + "mcs.a18l8.b1", + "drift_5642/b1", + "bpm.17l8.b1", + "drift_5643/b1", + "mqt.17l8.b1", + "drift_5644/b1", + "mq.17l8.b1", + "drift_5645/b1", + "ms.17l8.b1", + "drift_5646/b1", + "mcbh.17l8.b1", + "drift_5647/b1", + "mco.b17l8.b1", + "drift_5648/b1", + "mcd.b17l8.b1", + "drift_5649/b1", + "mb.c17l8.b1", + "drift_5650/b1", + "mcs.c17l8.b1", + "drift_5651/b1", + "mb.b17l8.b1", + "drift_5652/b1", + "mcs.b17l8.b1", + "drift_5653/b1", + "mco.a17l8.b1", + "drift_5654/b1", + "mcd.a17l8.b1", + "drift_5655/b1", + "mb.a17l8.b1", + "drift_5656/b1", + "mcs.a17l8.b1", + "drift_5657/b1", + "bpm.16l8.b1", + "drift_5658/b1", + "mqt.16l8.b1", + "drift_5659/b1", + "mq.16l8.b1", + "drift_5660/b1", + "ms.16l8.b1", + "drift_5661/b1", + "mcbv.16l8.b1", + "drift_5662/b1", + "mb.c16l8.b1", + "drift_5663/b1", + "mcs.c16l8.b1", + "drift_5664/b1", + "mco.16l8.b1", + "drift_5665/b1", + "mcd.16l8.b1", + "drift_5666/b1", + "mb.b16l8.b1", + "drift_5667/b1", + "mcs.b16l8.b1", + "drift_5668/b1", + "mb.a16l8.b1", + "drift_5669/b1", + "mcs.a16l8.b1", + "drift_5670/b1", + "bpm.15l8.b1", + "drift_5671/b1", + "mqt.15l8.b1", + "drift_5672/b1", + "mq.15l8.b1", + "drift_5673/b1", + "ms.15l8.b1", + "drift_5674/b1", + "mcbh.15l8.b1", + "drift_5675/b1", + "mco.b15l8.b1", + "drift_5676/b1", + "mcd.b15l8.b1", + "drift_5677/b1", + "mb.c15l8.b1", + "drift_5678/b1", + "mcs.c15l8.b1", + "drift_5679/b1", + "mb.b15l8.b1", + "drift_5680/b1", + "mcs.b15l8.b1", + "drift_5681/b1", + "mco.a15l8.b1", + "drift_5682/b1", + "mcd.a15l8.b1", + "drift_5683/b1", + "mb.a15l8.b1", + "drift_5684/b1", + "mcs.a15l8.b1", + "drift_5685/b1", + "bpm.14l8.b1", + "drift_5686/b1", + "mqt.14l8.b1", + "drift_5687/b1", + "mq.14l8.b1", + "drift_5688/b1", + "ms.14l8.b1", + "drift_5689/b1", + "mcbv.14l8.b1", + "drift_5690/b1", + "mb.c14l8.b1", + "drift_5691/b1", + "mcs.c14l8.b1", + "drift_5692/b1", + "mco.14l8.b1", + "drift_5693/b1", + "mcd.14l8.b1", + "drift_5694/b1", + "mb.b14l8.b1", + "drift_5695/b1", + "mcs.b14l8.b1", + "drift_5696/b1", + "mb.a14l8.b1", + "drift_5697/b1", + "mcs.a14l8.b1", + "drift_5698/b1", + "s.ds.l8.b1", + "drift_5699/b1", + "bpm.13l8.b1", + "drift_5700/b1", + "mqt.13l8.b1", + "drift_5701/b1", + "mq.13l8.b1", + "drift_5702/b1", + "ms.13l8.b1", + "drift_5703/b1", + "mcbh.13l8.b1", + "drift_5704/b1", + "mco.b13l8.b1", + "drift_5705/b1", + "mcd.b13l8.b1", + "drift_5706/b1", + "mb.c13l8.b1", + "drift_5707/b1", + "mcs.c13l8.b1", + "drift_5708/b1", + "mb.b13l8.b1", + "drift_5709/b1", + "mcs.b13l8.b1", + "drift_5710/b1", + "mco.a13l8.b1", + "drift_5711/b1", + "mcd.a13l8.b1", + "drift_5712/b1", + "mb.a13l8.b1", + "drift_5713/b1", + "mcs.a13l8.b1", + "drift_5714/b1", + "bpm.12l8.b1", + "drift_5715/b1", + "mqt.12l8.b1", + "drift_5716/b1", + "mq.12l8.b1", + "drift_5717/b1", + "ms.12l8.b1", + "drift_5718/b1", + "mcbv.12l8.b1", + "drift_5719/b1", + "mb.c12l8.b1", + "drift_5720/b1", + "mcs.c12l8.b1", + "drift_5721/b1", + "mco.12l8.b1", + "drift_5722/b1", + "mcd.12l8.b1", + "drift_5723/b1", + "mb.b12l8.b1", + "drift_5724/b1", + "mcs.b12l8.b1", + "drift_5725/b1", + "mb.a12l8.b1", + "drift_5726/b1", + "mcs.a12l8.b1", + "drift_5727/b1", + "e.arc.78.b1", + "drift_5728/b1", + "bpm.11l8.b1", + "drift_5729/b1", + "mq.11l8.b1", + "drift_5730/b1", + "mqtli.11l8.b1", + "drift_5731/b1", + "ms.11l8.b1", + "drift_5732/b1", + "mcbh.11l8.b1", + "drift_5733/b1", + "lebr.11l8.b1", + "drift_5734/b1", + "mco.11l8.b1", + "drift_5735/b1", + "mcd.11l8.b1", + "drift_5736/b1", + "mb.b11l8.b1", + "drift_5737/b1", + "mcs.b11l8.b1", + "drift_5738/b1", + "mb.a11l8.b1", + "drift_5739/b1", + "mcs.a11l8.b1", + "drift_5740/b1", + "bpm.10l8.b1", + "drift_5741/b1", + "mqml.10l8.b1", + "drift_5742/b1", + "mcbcv.10l8.b1", + "drift_5743/b1", + "mco.10l8.b1", + "drift_5744/b1", + "mcd.10l8.b1", + "drift_5745/b1", + "mb.b10l8.b1", + "drift_5746/b1", + "mcs.b10l8.b1", + "drift_5747/b1", + "mb.a10l8.b1", + "drift_5748/b1", + "mcs.a10l8.b1", + "drift_5749/b1", + "bpm.9l8.b1", + "drift_5750/b1", + "mqmc.9l8.b1", + "drift_5751/b1", + "mqm.9l8.b1", + "drift_5752/b1", + "mcbch.9l8.b1", + "drift_5753/b1", + "mco.9l8.b1", + "drift_5754/b1", + "mcd.9l8.b1", + "drift_5755/b1", + "mb.b9l8.b1", + "drift_5756/b1", + "mcs.b9l8.b1", + "drift_5757/b1", + "mb.a9l8.b1", + "drift_5758/b1", + "mcs.a9l8.b1", + "drift_5759/b1", + "bpm.8l8.b1", + "drift_5760/b1", + "mqml.8l8.b1", + "drift_5761/b1", + "mcbcv.8l8.b1", + "drift_5762/b1", + "mco.8l8.b1", + "drift_5763/b1", + "mcd.8l8.b1", + "drift_5764/b1", + "mb.b8l8.b1", + "drift_5765/b1", + "mcs.b8l8.b1", + "drift_5766/b1", + "mb.a8l8.b1", + "drift_5767/b1", + "mcs.a8l8.b1", + "drift_5768/b1", + "e.ds.l8.b1", + "drift_5769/b1", + "bpm.7l8.b1", + "drift_5770/b1", + "mqm.b7l8.b1", + "drift_5771/b1", + "mqm.a7l8.b1", + "drift_5772/b1", + "mcbch.7l8.b1", + "drift_5773/b1", + "dfbao.7l8.b1", + "drift_5774/b1", + "mcbcv.6l8.b1", + "drift_5775/b1", + "mqml.6l8.b1", + "drift_5776/b1", + "mqm.6l8.b1", + "drift_5777/b1", + "bpmr.6l8.b1", + "drift_5778/b1", + "tclim.6l8.b1", + "drift_5779/b1", + "mcbch.b5l8.b1", + "drift_5780/b1", + "mcbcv.5l8.b1", + "drift_5781/b1", + "mcbch.a5l8.b1", + "drift_5782/b1", + "mqm.b5l8.b1", + "drift_5783/b1", + "mqm.a5l8.b1", + "drift_5784/b1", + "bpm.5l8.b1", + "drift_5785/b1", + "bptx.5l8.b1", + "drift_5786/b1", + "bpmyb.4l8.b1", + "drift_5787/b1", + "mqy.b4l8.b1", + "drift_5788/b1", + "mqy.a4l8.b1", + "drift_5789/b1", + "mcbyv.b4l8.b1", + "drift_5790/b1", + "mcbyh.4l8.b1", + "drift_5791/b1", + "mcbyv.a4l8.b1", + "drift_5792/b1", + "mbrc.4l8.b1", + "drift_5793/b1", + "tanb.a4l8.b1", + "drift_5794/b1", 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"ms.22r4.b2", + "drift_2732/b2", + "mq.22r4.b2", + "drift_2731/b2", + "mo.22r4.b2", + "drift_2730/b2", + "bpm.22r4.b2", + "drift_2729/b2", + "mcs.c22r4.b2", + "drift_2728/b2", + "mb.c22r4.b2", + "drift_2727/b2", + "mcd.b22r4.b2", + "drift_2726/b2", + "mco.b22r4.b2", + "drift_2725/b2", + "mcs.b22r4.b2", + "drift_2724/b2", + "mb.b22r4.b2", + "drift_2723/b2", + "mcs.a22r4.b2", + "drift_2722/b2", + "mb.a22r4.b2", + "drift_2721/b2", + "mcd.a22r4.b2", + "drift_2720/b2", + "mco.a22r4.b2", + "drift_2719/b2", + "mcbh.21r4.b2", + "drift_2718/b2", + "ms.21r4.b2", + "drift_2717/b2", + "mq.21r4.b2", + "drift_2716/b2", + "mqt.21r4.b2", + "drift_2715/b2", + "bpm.21r4.b2", + "drift_2714/b2", + "mcs.c21r4.b2", + "drift_2713/b2", + "mb.c21r4.b2", + "drift_2712/b2", + "mcs.b21r4.b2", + "drift_2711/b2", + "mb.b21r4.b2", + "drift_2710/b2", + "mcd.21r4.b2", + "drift_2709/b2", + "mco.21r4.b2", + "drift_2708/b2", + "mcs.a21r4.b2", + "drift_2707/b2", + "mb.a21r4.b2", + "drift_2706/b2", + "mcbv.20r4.b2", + "drift_2705/b2", + "ms.20r4.b2", + "drift_2704/b2", + "mq.20r4.b2", + "drift_2703/b2", + "mqt.20r4.b2", + "drift_2702/b2", + "bpm.20r4.b2", + "drift_2701/b2", + "mcs.c20r4.b2", + "drift_2700/b2", + "mb.c20r4.b2", + "drift_2699/b2", + "mcd.b20r4.b2", + "drift_2698/b2", + "mco.b20r4.b2", + "drift_2697/b2", + "mcs.b20r4.b2", + "drift_2696/b2", + "mb.b20r4.b2", + "drift_2695/b2", + "mcs.a20r4.b2", + "drift_2694/b2", + "mb.a20r4.b2", + "drift_2693/b2", + "mcd.a20r4.b2", + "drift_2692/b2", + "mco.a20r4.b2", + "drift_2691/b2", + "mcbh.19r4.b2", + "drift_2690/b2", + "ms.19r4.b2", + "drift_2689/b2", + "mq.19r4.b2", + "drift_2688/b2", + "mqt.19r4.b2", + "drift_2687/b2", + "bpm.19r4.b2", + "drift_2686/b2", + "mcs.c19r4.b2", + "drift_2685/b2", + "mb.c19r4.b2", + "drift_2684/b2", + "mcs.b19r4.b2", + "drift_2683/b2", + "mb.b19r4.b2", + "drift_2682/b2", + "mcd.19r4.b2", + "drift_2681/b2", + "mco.19r4.b2", + "drift_2680/b2", + "mcs.a19r4.b2", + "drift_2679/b2", + "mb.a19r4.b2", + "drift_2678/b2", + "mcbv.18r4.b2", + "drift_2677/b2", + "ms.18r4.b2", + "drift_2676/b2", + "mq.18r4.b2", + "drift_2675/b2", + "mqt.18r4.b2", + "drift_2674/b2", + "bpm.18r4.b2", + "drift_2673/b2", + "mcs.c18r4.b2", + "drift_2672/b2", + "mb.c18r4.b2", + "drift_2671/b2", + "mcd.b18r4.b2", + "drift_2670/b2", + "mco.b18r4.b2", + "drift_2669/b2", + "mcs.b18r4.b2", + "drift_2668/b2", + "mb.b18r4.b2", + "drift_2667/b2", + "mcs.a18r4.b2", + "drift_2666/b2", + "mb.a18r4.b2", + "drift_2665/b2", + "mcd.a18r4.b2", + "drift_2664/b2", + "mco.a18r4.b2", + "drift_2663/b2", + "mcbh.17r4.b2", + "drift_2662/b2", + "ms.17r4.b2", + "drift_2661/b2", + "mq.17r4.b2", + "drift_2660/b2", + "mqt.17r4.b2", + "drift_2659/b2", + "bpm.17r4.b2", + "drift_2658/b2", + "mcs.c17r4.b2", + "drift_2657/b2", + "mb.c17r4.b2", + "drift_2656/b2", + "mcs.b17r4.b2", + "drift_2655/b2", + "mb.b17r4.b2", + "drift_2654/b2", + "mcd.17r4.b2", + "drift_2653/b2", + "mco.17r4.b2", + "drift_2652/b2", + "mcs.a17r4.b2", + "drift_2651/b2", + "mb.a17r4.b2", + "drift_2650/b2", + "mcbv.16r4.b2", + "drift_2649/b2", + "ms.16r4.b2", + "drift_2648/b2", + "mq.16r4.b2", + "drift_2647/b2", + "mqt.16r4.b2", + "drift_2646/b2", + "bpm.16r4.b2", + "drift_2645/b2", + "mcs.c16r4.b2", + "drift_2644/b2", + "mb.c16r4.b2", + "drift_2643/b2", + "mcd.b16r4.b2", + "drift_2642/b2", + "mco.b16r4.b2", + "drift_2641/b2", + "mcs.b16r4.b2", + "drift_2640/b2", + "mb.b16r4.b2", + "drift_2639/b2", + "mcs.a16r4.b2", + "drift_2638/b2", + "mb.a16r4.b2", + "drift_2637/b2", + "mcd.a16r4.b2", + "drift_2636/b2", + "mco.a16r4.b2", + "drift_2635/b2", + "mcbh.15r4.b2", + "drift_2634/b2", + "ms.15r4.b2", + "drift_2633/b2", + "mq.15r4.b2", + "drift_2632/b2", + "mqt.15r4.b2", + "drift_2631/b2", + "bpm.15r4.b2", + "drift_2630/b2", + "mcs.c15r4.b2", + "drift_2629/b2", + "mb.c15r4.b2", + "drift_2628/b2", + "mcs.b15r4.b2", + "drift_2627/b2", + "mb.b15r4.b2", + "drift_2626/b2", + "mcd.15r4.b2", + "drift_2625/b2", + "mco.15r4.b2", + "drift_2624/b2", + "mcs.a15r4.b2", + "drift_2623/b2", + "mb.a15r4.b2", + "drift_2622/b2", + "mcbv.14r4.b2", + "drift_2621/b2", + "ms.14r4.b2", + "drift_2620/b2", + "mq.14r4.b2", + "drift_2619/b2", + "mqt.14r4.b2", + "drift_2618/b2", + "bpm.14r4.b2", + "drift_2617/b2", + "mcs.c14r4.b2", + "drift_2616/b2", + "mb.c14r4.b2", + "drift_2615/b2", + "mcd.b14r4.b2", + "drift_2614/b2", + "mco.b14r4.b2", + "drift_2613/b2", + "mcs.b14r4.b2", + "drift_2612/b2", + "mb.b14r4.b2", + "drift_2611/b2", + "mcs.a14r4.b2", + "drift_2610/b2", + "mb.a14r4.b2", + "drift_2609/b2", + "mcd.a14r4.b2", + "drift_2608/b2", + "mco.a14r4.b2", + "drift_2607/b2", + "e.ds.r4.b2", + "drift_2606/b2", + "mcbh.13r4.b2", + "drift_2605/b2", + "ms.13r4.b2", + "drift_2604/b2", + "mq.13r4.b2", + "drift_2603/b2", + "mqt.13r4.b2", + "drift_2602/b2", + "bpm.13r4.b2", + "drift_2601/b2", + "mcs.c13r4.b2", + "drift_2600/b2", + "mb.c13r4.b2", + "drift_2599/b2", + "mcs.b13r4.b2", + "drift_2598/b2", + "mb.b13r4.b2", + "drift_2597/b2", + "mcd.13r4.b2", + "drift_2596/b2", + "mco.13r4.b2", + "drift_2595/b2", + "mcs.a13r4.b2", + "drift_2594/b2", + "mb.a13r4.b2", + "drift_2593/b2", + "mcbv.12r4.b2", + "drift_2592/b2", + "ms.12r4.b2", + "drift_2591/b2", + "mq.12r4.b2", + "drift_2590/b2", + "mqt.12r4.b2", + "drift_2589/b2", + "bpm.12r4.b2", + "drift_2588/b2", + "mcs.c12r4.b2", + "drift_2587/b2", + "mb.c12r4.b2", + "drift_2586/b2", + "mcd.b12r4.b2", + "drift_2585/b2", + "mco.b12r4.b2", + "drift_2584/b2", + "mcs.b12r4.b2", + "drift_2583/b2", + "mb.b12r4.b2", + "drift_2582/b2", + "mcs.a12r4.b2", + "drift_2581/b2", + "mb.a12r4.b2", + "drift_2580/b2", + "mcd.a12r4.b2", + "drift_2579/b2", + "mco.a12r4.b2", + "drift_2578/b2", + "s.arc.45.b2", + "drift_2577/b2", + "mcbh.11r4.b2", + "drift_2576/b2", + "ms.11r4.b2", + "drift_2575/b2", + "mqtli.11r4.b2", + "drift_2574/b2", + "mq.11r4.b2", + "drift_2573/b2", + "bpm.11r4.b2", + "drift_2572/b2", + "leal.11r4.b2", + "drift_2571/b2", + "mcs.b11r4.b2", + "drift_2570/b2", + "mb.b11r4.b2", + "drift_2569/b2", + "mcs.a11r4.b2", + "drift_2568/b2", 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"drift_2540/b2", + "mcs.b8r4.b2", + "drift_2539/b2", + "mb.b8r4.b2", + "drift_2538/b2", + "mcs.a8r4.b2", + "drift_2537/b2", + "mb.a8r4.b2", + "drift_2536/b2", + "mcd.8r4.b2", + "drift_2535/b2", + "mco.8r4.b2", + "drift_2534/b2", + "s.ds.r4.b2", + "drift_2533/b2", + "mcbch.7r4.b2", + "drift_2532/b2", + "mqm.7r4.b2", + "drift_2531/b2", + "bpm.7r4.b2", + "drift_2530/b2", + "bpmcs.7r4.b2", + "drift_2529/b2", + "dfbah.7r4.b2", + "drift_2528/b2", + "bplv.7r4.b2", + "drift_2527/b2", + "bqsv.7r4.b2", + "drift_2526/b2", + "mcbyv.6r4.b2", + "drift_2525/b2", + "mqy.6r4.b2", + "drift_2524/b2", + "bpmyb.6r4.b2", + "drift_2523/b2", + "bqkv.6r4.b2", + "drift_2522/b2", + "bctfr.b6r4.b2", + "drift_2521/b2", + "bctfr.a6r4.b2", + "drift_2520/b2", + "bctdc.b6r4.b2", + "drift_2519/b2", + "bctdc.a6r4.b2", + "drift_2518/b2", + "bplx.b6r4.b2", + "drift_2517/b2", + "bplx.d6r4.b2", + "drift_2516/b2", + "bqkh.a6r4.b2", + "drift_2515/b2", + "bplh.6r4.b2", + "drift_2514/b2", + "bpmya.5r4.b2", + "drift_2513/b2", + 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"ms.22r3.b2", + "drift_1918/b2", + "mq.22r3.b2", + "drift_1917/b2", + "mo.22r3.b2", + "drift_1916/b2", + "bpm.22r3.b2", + "drift_1915/b2", + "mcs.c22r3.b2", + "drift_1914/b2", + "mb.c22r3.b2", + "drift_1913/b2", + "mcd.b22r3.b2", + "drift_1912/b2", + "mco.b22r3.b2", + "drift_1911/b2", + "mcs.b22r3.b2", + "drift_1910/b2", + "mb.b22r3.b2", + "drift_1909/b2", + "mcs.a22r3.b2", + "drift_1908/b2", + "mb.a22r3.b2", + "drift_1907/b2", + "mcd.a22r3.b2", + "drift_1906/b2", + "mco.a22r3.b2", + "drift_1905/b2", + "mcbv.21r3.b2", + "drift_1904/b2", + "ms.21r3.b2", + "drift_1903/b2", + "mq.21r3.b2", + "drift_1902/b2", + "mqt.21r3.b2", + "drift_1901/b2", + "bpm.21r3.b2", + "drift_1900/b2", + "mcs.c21r3.b2", + "drift_1899/b2", + "mb.c21r3.b2", + "drift_1898/b2", + "mcs.b21r3.b2", + "drift_1897/b2", + "mb.b21r3.b2", + "drift_1896/b2", + "mcd.21r3.b2", + "drift_1895/b2", + "mco.21r3.b2", + "drift_1894/b2", + "mcs.a21r3.b2", + "drift_1893/b2", + "mb.a21r3.b2", + "drift_1892/b2", + "mcbh.20r3.b2", + "drift_1891/b2", + "ms.20r3.b2", + "drift_1890/b2", + "mq.20r3.b2", + "drift_1889/b2", + "mqt.20r3.b2", + "drift_1888/b2", + "bpm.20r3.b2", + "drift_1887/b2", + "mcs.c20r3.b2", + "drift_1886/b2", + "mb.c20r3.b2", + "drift_1885/b2", + "mcd.b20r3.b2", + "drift_1884/b2", + "mco.b20r3.b2", + "drift_1883/b2", + "mcs.b20r3.b2", + "drift_1882/b2", + "mb.b20r3.b2", + "drift_1881/b2", + "mcs.a20r3.b2", + "drift_1880/b2", + "mb.a20r3.b2", + "drift_1879/b2", + "mcd.a20r3.b2", + "drift_1878/b2", + "mco.a20r3.b2", + "drift_1877/b2", + "mcbv.19r3.b2", + "drift_1876/b2", + "ms.19r3.b2", + "drift_1875/b2", + "mq.19r3.b2", + "drift_1874/b2", + "mqt.19r3.b2", + "drift_1873/b2", + "bpm.19r3.b2", + "drift_1872/b2", + "mcs.c19r3.b2", + "drift_1871/b2", + "mb.c19r3.b2", + "drift_1870/b2", + "mcs.b19r3.b2", + "drift_1869/b2", + "mb.b19r3.b2", + "drift_1868/b2", + "mcd.19r3.b2", + "drift_1867/b2", + "mco.19r3.b2", + "drift_1866/b2", + "mcs.a19r3.b2", + "drift_1865/b2", + "mb.a19r3.b2", + "drift_1864/b2", + "mcbh.18r3.b2", + "drift_1863/b2", + "ms.18r3.b2", + "drift_1862/b2", + "mq.18r3.b2", + "drift_1861/b2", + "mqt.18r3.b2", + "drift_1860/b2", + "bpm.18r3.b2", + "drift_1859/b2", + "mcs.c18r3.b2", + "drift_1858/b2", + "mb.c18r3.b2", + "drift_1857/b2", + "mcd.b18r3.b2", + "drift_1856/b2", + "mco.b18r3.b2", + "drift_1855/b2", + "mcs.b18r3.b2", + "drift_1854/b2", + "mb.b18r3.b2", + "drift_1853/b2", + "mcs.a18r3.b2", + "drift_1852/b2", + "mb.a18r3.b2", + "drift_1851/b2", + "mcd.a18r3.b2", + "drift_1850/b2", + "mco.a18r3.b2", + "drift_1849/b2", + "mcbv.17r3.b2", + "drift_1848/b2", + "ms.17r3.b2", + "drift_1847/b2", + "mq.17r3.b2", + "drift_1846/b2", + "mqt.17r3.b2", + "drift_1845/b2", + "bpm.17r3.b2", + "drift_1844/b2", + "mcs.c17r3.b2", + "drift_1843/b2", + "mb.c17r3.b2", + "drift_1842/b2", + "mcs.b17r3.b2", + "drift_1841/b2", + "mb.b17r3.b2", + "drift_1840/b2", + "mcd.17r3.b2", + "drift_1839/b2", + "mco.17r3.b2", + "drift_1838/b2", + "mcs.a17r3.b2", + "drift_1837/b2", + "mb.a17r3.b2", + "drift_1836/b2", + "mcbh.16r3.b2", + "drift_1835/b2", + "ms.16r3.b2", + "drift_1834/b2", + "mq.16r3.b2", + "drift_1833/b2", + "mqt.16r3.b2", + "drift_1832/b2", + "bpm.16r3.b2", + "drift_1831/b2", + "mcs.c16r3.b2", + "drift_1830/b2", + "mb.c16r3.b2", + "drift_1829/b2", + "mcd.b16r3.b2", + "drift_1828/b2", + "mco.b16r3.b2", + "drift_1827/b2", + "mcs.b16r3.b2", + "drift_1826/b2", + "mb.b16r3.b2", + "drift_1825/b2", + "mcs.a16r3.b2", + "drift_1824/b2", + "mb.a16r3.b2", + "drift_1823/b2", + "mcd.a16r3.b2", + "drift_1822/b2", + "mco.a16r3.b2", + "drift_1821/b2", + "mcbv.15r3.b2", + "drift_1820/b2", + "ms.15r3.b2", + "drift_1819/b2", + "mq.15r3.b2", + "drift_1818/b2", + "mqt.15r3.b2", + "drift_1817/b2", + "bpm.15r3.b2", + "drift_1816/b2", + "mcs.c15r3.b2", + "drift_1815/b2", + "mb.c15r3.b2", + "drift_1814/b2", + "mcs.b15r3.b2", + "drift_1813/b2", + "mb.b15r3.b2", + "drift_1812/b2", + "mcd.15r3.b2", + "drift_1811/b2", + "mco.15r3.b2", + "drift_1810/b2", + "mcs.a15r3.b2", + "drift_1809/b2", + "mb.a15r3.b2", + "drift_1808/b2", + "mcbh.14r3.b2", + "drift_1807/b2", + "ms.14r3.b2", + "drift_1806/b2", + "mq.14r3.b2", + "drift_1805/b2", + "mqt.14r3.b2", + "drift_1804/b2", + "bpm.14r3.b2", + "drift_1803/b2", + "mcs.c14r3.b2", + "drift_1802/b2", + "mb.c14r3.b2", + "drift_1801/b2", + "mcd.b14r3.b2", + "drift_1800/b2", + "mco.b14r3.b2", + "drift_1799/b2", + "mcs.b14r3.b2", + "drift_1798/b2", + "mb.b14r3.b2", + "drift_1797/b2", + "mcs.a14r3.b2", + "drift_1796/b2", + "mb.a14r3.b2", + "drift_1795/b2", + "mcd.a14r3.b2", + "drift_1794/b2", + "mco.a14r3.b2", + "drift_1793/b2", + "e.ds.r3.b2", + "drift_1792/b2", + "mcbv.13r3.b2", + "drift_1791/b2", + "ms.13r3.b2", + "drift_1790/b2", + "mq.13r3.b2", + "drift_1789/b2", + "mqt.13r3.b2", + "drift_1788/b2", + "bpm.13r3.b2", + "drift_1787/b2", + "mcs.c13r3.b2", + "drift_1786/b2", + "mb.c13r3.b2", + "drift_1785/b2", + "mcs.b13r3.b2", + "drift_1784/b2", + "mb.b13r3.b2", + "drift_1783/b2", + "mcd.13r3.b2", + "drift_1782/b2", + "mco.13r3.b2", + "drift_1781/b2", + "mcs.a13r3.b2", + "drift_1780/b2", + "mb.a13r3.b2", + "drift_1779/b2", + "mcbh.12r3.b2", + "drift_1778/b2", + "ms.12r3.b2", + "drift_1777/b2", + "mq.12r3.b2", + "drift_1776/b2", + "mqt.12r3.b2", + "drift_1775/b2", + "bpm.12r3.b2", + "drift_1774/b2", + "mcs.c12r3.b2", + "drift_1773/b2", + "mb.c12r3.b2", + "drift_1772/b2", + "mcd.b12r3.b2", + "drift_1771/b2", + "mco.b12r3.b2", + "drift_1770/b2", + "mcs.b12r3.b2", + "drift_1769/b2", + "mb.b12r3.b2", + "drift_1768/b2", + "mcs.a12r3.b2", + "drift_1767/b2", + "mb.a12r3.b2", + "drift_1766/b2", + "mcd.a12r3.b2", + "drift_1765/b2", + "mco.a12r3.b2", + "drift_1764/b2", + "s.arc.34.b2", + "drift_1763/b2", + "mcbv.11r3.b2", + "drift_1762/b2", + "ms.11r3.b2", + "drift_1761/b2", + "mqtli.11r3.b2", + "drift_1760/b2", + "mq.11r3.b2", + "drift_1759/b2", + "bpm.11r3.b2", + "drift_1758/b2", + "leel.11r3.b2", + "drift_1757/b2", + "mcs.b11r3.b2", + "drift_1756/b2", + "mb.b11r3.b2", + "drift_1755/b2", + "mcs.a11r3.b2", + "drift_1754/b2", + "mb.a11r3.b2", + "drift_1753/b2", + "mcd.11r3.b2", + "drift_1752/b2", + "mco.11r3.b2", + "drift_1751/b2", + "mcbch.10r3.b2", + "drift_1750/b2", + "mqtli.10r3.b2", + "drift_1749/b2", + "mq.10r3.b2", + "drift_1748/b2", + "bpm.10r3.b2", + "drift_1747/b2", + "mcs.b10r3.b2", + "drift_1746/b2", + "mb.b10r3.b2", + "drift_1745/b2", + "mcs.a10r3.b2", + "drift_1744/b2", + "mb.a10r3.b2", + "drift_1743/b2", + "mcd.10r3.b2", + "drift_1742/b2", + "mco.10r3.b2", + "drift_1741/b2", + "mcbcv.9r3.b2", + "drift_1740/b2", + "mqtli.b9r3.b2", + "drift_1739/b2", + "mqtli.a9r3.b2", + "drift_1738/b2", + "mq.9r3.b2", + "drift_1737/b2", + "bpm.9r3.b2", + "drift_1736/b2", + "mcs.b9r3.b2", + "drift_1735/b2", + "mb.b9r3.b2", + "drift_1734/b2", + "mcs.a9r3.b2", + "drift_1733/b2", + "mb.a9r3.b2", + "drift_1732/b2", + "mcd.9r3.b2", + "drift_1731/b2", + "mco.9r3.b2", + "drift_1730/b2", + "mcbch.8r3.b2", + "drift_1729/b2", + "mqtli.8r3.b2", + "drift_1728/b2", + "mq.8r3.b2", + "drift_1727/b2", + "bpm.8r3.b2", + "drift_1726/b2", + "mcs.b8r3.b2", + "drift_1725/b2", + "mb.b8r3.b2", + "drift_1724/b2", + "mcs.a8r3.b2", + "drift_1723/b2", + "mb.a8r3.b2", + "drift_1722/b2", + "mcd.8r3.b2", + "drift_1721/b2", + "mco.8r3.b2", + "drift_1720/b2", + "s.ds.r3.b2", + "drift_1719/b2", + "mcbcv.7r3.b2", + "drift_1718/b2", + "mqtli.7r3.b2", + "drift_1717/b2", + "mq.7r3.b2", + "drift_1716/b2", + "bpm_a.7r3.b2", + "drift_1715/b2", + "dfbaf.7r3.b2", + "drift_1714/b2", + "bpm.6r3.b2", + "drift_1713/b2", + "mqtlh.f6r3.b2", + "drift_1712/b2", + "mqtlh.e6r3.b2", + "drift_1711/b2", + "mqtlh.d6r3.b2", + "drift_1710/b2", + "mqtlh.c6r3.b2", + "drift_1709/b2", + "mqtlh.b6r3.b2", + "drift_1708/b2", + "mqtlh.a6r3.b2", + "drift_1707/b2", + "mcbch.6r3.b2", + "drift_1706/b2", + "bpmwc.6r3.b2", + "drift_1705/b2", + "mbw.f6r3.b2", + "drift_1704/b2", + "mbw.e6r3.b2", + "drift_1703/b2", + "mbw.d6r3.b2", + "drift_1702/b2", + "tcp.6r3.b2", + "drift_1701/b2", + "tcapa.6r3.b2", + "drift_1700/b2", + "mbw.c6r3.b2", + "drift_1699/b2", + 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+aperture.plot_extents(s_positions=s_positions, sigmas=1) +plt.show() + +sv = ring.survey() +sv.plot() +plt.show() diff --git a/examples/aperture_model/pimms/pimms.py b/examples/aperture_model/pimms/pimms.py new file mode 100644 index 000000000..82cd9faf9 --- /dev/null +++ b/examples/aperture_model/pimms/pimms.py @@ -0,0 +1,193 @@ +import xtrack as xt +import numpy as np +from xtrack.aperture import Aperture, ApertureBuilder + +env = xt.get_environment() +env.particle_ref = xt.Particles(kinetic_energy0=200e6) +env.vars.default_to_zero = True + +############ +# Elements # +############ + +# Element geometry +n_bends = 16 +env['ang_mb'] = 2 * np.pi / n_bends +env['l_mb'] = 1.65 +env['l_mq'] = 0.35 +env['l_ms'] = 0.2 + +# Magnet pipes +env.new('mb', xt.RBend, length_straight='l_mb', angle='ang_mb') +env.new('mq', xt.Quadrupole, length='l_mq') +env.new('ms', xt.Sextupole, length='l_ms') + +# Quadrupole families +env.new('qfa', 'mq', k1='kqfa') +env.new('qfb', 'mq', k1='kqfb') +env.new('qd', 'mq', k1='kqd') + +# Magnet instances +env.new('msf.1', 'ms', k2='ksf') +env.new('msf.2', 'ms', k2='ksf') +env.new('msd.1', 'ms', k2='ksd') +env.new('msd.2', 'ms', k2='ksd') +env.new('mse', 'ms', k2='kse') + +# RF cavity +env.new('rf1', xt.Cavity, voltage='vrf', frequency='frf') + +########### +# Lattice # +########### + +# Cells +cell_a = env.new_line( + name='cell_a', + length=7.405, + components=[ + env.place('qfa', at=0.3875), + env.place('mb', at=1.8125), + env.place('qd', at=3.2925), + env.place('mb', at=5.0475), + env.place('qfa', at=6.3275), + ], +) + +cell_b = env.new_line( + name='cell_b', + length=8.405, + components=[ + env.place('qfb', at=1.2725), + env.place('mb', at= 2.7275), + env.place('qd', at=4.8575), + env.place('mb', at=6.5125), + env.place('qfb', at=7.7925), + ], +) + +# Arc +arc = cell_a + cell_b + +# Straight sections +long_straight = env.new_line( + length=2, + components=[ + env.new('mid.lss', xt.Marker, at=1.) + ], +) + +short_straight = env.new_line( + length=1, + components=[ + env.new('mid.sss', xt.Marker, at=1.) + ], +) + +# Ring +ring = 2 * (long_straight + arc + short_straight - arc) + +# Assign unique names to all elements +ring.replace_all_repeated_elements() + +# Insert sextupoles +ring.insert([ + env.place('msf.1', at=-0.2, from_='qfb.0@start'), + env.place('msf.2', at=-0.2, from_='qfb.4@start'), + env.place('msd.1', at=0.3, from_='qd.2@end'), + env.place('msd.2', at=0.3, from_='qd.6@end'), + env.place('mse', at=-0.3, from_='qfa.4@start') +]) + +# Insert RF +ring.insert('rf1', at=0.5, from_='qfa.3@start') + +# Select lines to keep +env['ring'] = ring + +env.vars.default_to_zero = False + + +############# +# Strengths # +############# +env.vars.update({ + 'kqfa': 0.33773079026867847, + 'kqfb': 0.5469421227593386, + 'kqd': -0.5904782303561069, + 'ksf': 0.5835000891312914, + 'ksd': -0.7807697760187184, +}) + + +############# +# Apertures # +############# +ring_table = ring.get_table() + +builder = ApertureBuilder(ring) + +profile_straight = builder.new_profile('straight', 'Ellipse', half_major=0.07, half_minor=0.037) +profile_dipole = builder.new_profile('dipole', 'Ellipse', half_major=0.07, half_minor=0.032) + +l_mb = float(env['mb'].length) +l_mq = float(env['mq'].length) +l_ms = float(env['ms'].length) +ang_mb = float(env['mb'].angle) + +type_mb = builder.new_pipe( + 'mb', + curvature=ang_mb / l_mb, + positions=[ + builder.place_profile(profile_dipole, shift_s=0.0), + builder.place_profile(profile_dipole, shift_s=l_mb), + ], +) +type_mq = builder.new_pipe( + 'mq', + positions=[ + builder.place_profile(profile_straight, shift_s=0.0), + builder.place_profile(profile_straight, shift_s=l_mq), + ], +) +type_ms = builder.new_pipe( + 'ms', + positions=[ + builder.place_profile(profile_straight, shift_s=0.0), + builder.place_profile(profile_straight, shift_s=l_ms), + ], +) + +types_dr = {} + +for row in ring_table.rows: + name = row.name + s_start = row.s_start + s_end = row.s_end + length = s_end - s_start + + if name.startswith('mb'): + builder.place_pipe(name, type_mb.name, survey_reference=name) + elif name.startswith('q'): + builder.place_pipe(name, type_mq.name, survey_reference=name) + elif name.startswith('ms'): + builder.place_pipe(name, type_ms.name, survey_reference=name) + elif length > 1e-6: + key = round(length / 1e-6) + if key in types_dr: + type_ = types_dr[key] + else: + type_ = builder.new_pipe( + f'drift_{length:.6f}', + positions=[ + builder.place_profile(profile_straight, shift_s=0.0), + builder.place_profile(profile_straight, shift_s=length), + ], + ) + types_dr[key] = type_ + builder.place_pipe(name, type_.name, survey_reference=name) + +aperture_model = builder.build() +aperture = Aperture(line=ring, model=aperture_model) + +ring.twiss_default['method'] = '4d' diff --git a/test_data/hllhc19_apertures/.gitignore b/test_data/hllhc19_apertures/.gitignore new file mode 100644 index 000000000..5ac249833 --- /dev/null +++ b/test_data/hllhc19_apertures/.gitignore @@ -0,0 +1,6 @@ +acc-models-lhc +acc-models-lhc/ +temp/ +d2_aperture +twiss_lhcb1.tfs +twiss_lhcb2.tfs diff --git a/test_data/hllhc19_apertures/README b/test_data/hllhc19_apertures/README new file mode 100644 index 000000000..d4eecae02 --- /dev/null +++ b/test_data/hllhc19_apertures/README @@ -0,0 +1,5 @@ +In order to re-generate these test files: + +1. Clone or link to `acc-models-lhc` in the current directory +2. Switch it to branch `hl19` +2. Run `make_files.py` diff --git a/test_data/hllhc19_apertures/aperture_model_b1.json b/test_data/hllhc19_apertures/aperture_model_b1.json new file mode 100644 index 000000000..649b2339c --- /dev/null +++ b/test_data/hllhc19_apertures/aperture_model_b1.json @@ -0,0 +1,479960 @@ +{ + "model": { + "type_positions": [ + { + "type_index": 0, + "survey_reference_name": "ip1", + "survey_index": 1, + "transformation": [ + [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + [ + 0.0, + 1.0, + 0.0, + 0.0 + ], + [ + 0.0, + 0.0, + 1.0, + 0.0 + ], + [ + 0.0, + 0.0, + 0.0, + 1.0 + ] + ] + }, + { + "type_index": 1, + "survey_reference_name": "mqxfa.a1r1/b1", + "survey_index": 8, + "transformation": [ + [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + [ + 0.0, + 1.0, + 0.0, + 0.0 + ], + [ + 0.0, + 0.0, + 1.0, + 0.0 + ], + [ + 0.0, + 0.0, + 0.0, + 1.0 + ] + ] + }, + { + "type_index": 2, + "survey_reference_name": "mqxfa.b1r1/b1", + "survey_index": 10, + "transformation": [ + [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + [ + 0.0, + 1.0, + 0.0, 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"mcd.32l2.b1", + "mb.b32l2.b1", + "mcs.b32l2.b1", + "mb.a32l2.b1", + "mcs.a32l2.b1", + "bpm.31l2.b1", + "mo.31l2.b1", + "mq.31l2.b1", + "ms.31l2.b1", + "mcbh.31l2.b1", + "mco.b31l2.b1", + "mcd.b31l2.b1", + "mb.c31l2.b1", + "mcs.c31l2.b1", + "mb.b31l2.b1", + "mcs.b31l2.b1", + "mco.a31l2.b1", + "mcd.a31l2.b1", + "mb.a31l2.b1", + "mcs.a31l2.b1", + "bpm.30l2.b1", + "mo.30l2.b1", + "mq.30l2.b1", + "ms.30l2.b1", + "mcbv.30l2.b1", + "mb.c30l2.b1", + "mcs.c30l2.b1", + "mco.30l2.b1", + "mcd.30l2.b1", + "mb.b30l2.b1", + "mcs.b30l2.b1", + "mb.a30l2.b1", + "mcs.a30l2.b1", + "bpm.29l2.b1", + "mo.29l2.b1", + "mq.29l2.b1", + "mss.29l2.b1", + "mcbh.29l2.b1", + "mco.b29l2.b1", + "mcd.b29l2.b1", + "mb.c29l2.b1", + "mcs.c29l2.b1", + "mb.b29l2.b1", + "mcs.b29l2.b1", + "mco.a29l2.b1", + "mcd.a29l2.b1", + "mb.a29l2.b1", + "mcs.a29l2.b1", + "bpm.28l2.b1", + "mo.28l2.b1", + "mq.28l2.b1", + "ms.28l2.b1", + "mcbv.28l2.b1", + "mb.c28l2.b1", + "mcs.c28l2.b1", + "mco.28l2.b1", + "mcd.28l2.b1", + "mb.b28l2.b1", + "mcs.b28l2.b1", + "mb.a28l2.b1", + "mcs.a28l2.b1", + "bpm.27l2.b1", + "mqs.27l2.b1", + "mq.27l2.b1", + "ms.27l2.b1", + "mcbh.27l2.b1", + "mco.b27l2.b1", + "mcd.b27l2.b1", + "mb.c27l2.b1", + "mcs.c27l2.b1", + "mb.b27l2.b1", + "mcs.b27l2.b1", + "mco.a27l2.b1", + "mcd.a27l2.b1", + "mb.a27l2.b1", + "mcs.a27l2.b1", + "bpm.26l2.b1", + "mo.26l2.b1", + "mq.26l2.b1", + "ms.26l2.b1", + "mcbv.26l2.b1", + "mb.c26l2.b1", + "mcs.c26l2.b1", + "mco.26l2.b1", + "mcd.26l2.b1", + "mb.b26l2.b1", + "mcs.b26l2.b1", + "mb.a26l2.b1", + "mcs.a26l2.b1", + "bpm.25l2.b1", + "mo.25l2.b1", + "mq.25l2.b1", + "ms.25l2.b1", + "mcbh.25l2.b1", + "mco.b25l2.b1", + "mcd.b25l2.b1", + "mb.c25l2.b1", + "mcs.c25l2.b1", + "mb.b25l2.b1", + "mcs.b25l2.b1", + "mco.a25l2.b1", + "mcd.a25l2.b1", + "mb.a25l2.b1", + "mcs.a25l2.b1", + "bpm.24l2.b1", + "mo.24l2.b1", + "mq.24l2.b1", + "ms.24l2.b1", + "mcbv.24l2.b1", + "mb.c24l2.b1", + "mcs.c24l2.b1", + "mco.24l2.b1", + "mcd.24l2.b1", + "mb.b24l2.b1", + "mcs.b24l2.b1", + "mb.a24l2.b1", + "mcs.a24l2.b1", + "bpm.23l2.b1", + "mqs.23l2.b1", + "mq.23l2.b1", + "ms.23l2.b1", + "mcbh.23l2.b1", + "mco.b23l2.b1", + "mcd.b23l2.b1", + "mb.c23l2.b1", + "mcs.c23l2.b1", + "mb.b23l2.b1", + "mcs.b23l2.b1", + "mco.a23l2.b1", + "mcd.a23l2.b1", + "mb.a23l2.b1", + "mcs.a23l2.b1", + "bpm.22l2.b1", + "mo.22l2.b1", + "mq.22l2.b1", + "ms.22l2.b1", + "mcbv.22l2.b1", + "mb.c22l2.b1", + "mcs.c22l2.b1", + "mco.22l2.b1", + "mcd.22l2.b1", + "mb.b22l2.b1", + "mcs.b22l2.b1", + "mb.a22l2.b1", + "mcs.a22l2.b1", + "bpm.21l2.b1", + "mqt.21l2.b1", + "mq.21l2.b1", + "ms.21l2.b1", + "mcbh.21l2.b1", + "mco.b21l2.b1", + "mcd.b21l2.b1", + "mb.c21l2.b1", + "mcs.c21l2.b1", + "mb.b21l2.b1", + "mcs.b21l2.b1", + "mco.a21l2.b1", + "mcd.a21l2.b1", + "mb.a21l2.b1", + "mcs.a21l2.b1", + "bpm.20l2.b1", + "mqt.20l2.b1", + "mq.20l2.b1", + "ms.20l2.b1", + "mcbv.20l2.b1", + "mb.c20l2.b1", + "mcs.c20l2.b1", + "mco.20l2.b1", + "mcd.20l2.b1", + "mb.b20l2.b1", + "mcs.b20l2.b1", + "mb.a20l2.b1", + "mcs.a20l2.b1", + "bpm.19l2.b1", + "mqt.19l2.b1", + "mq.19l2.b1", + "ms.19l2.b1", + "mcbh.19l2.b1", + "mco.b19l2.b1", + "mcd.b19l2.b1", + "mb.c19l2.b1", + "mcs.c19l2.b1", + "mb.b19l2.b1", + "mcs.b19l2.b1", + "mco.a19l2.b1", + "mcd.a19l2.b1", + "mb.a19l2.b1", + "mcs.a19l2.b1", + "bpm.18l2.b1", + "mqt.18l2.b1", + "mq.18l2.b1", + "ms.18l2.b1", + "mcbv.18l2.b1", + "mb.c18l2.b1", + "mcs.c18l2.b1", + "mco.18l2.b1", + "mcd.18l2.b1", + "mb.b18l2.b1", + "mcs.b18l2.b1", + "mb.a18l2.b1", + "mcs.a18l2.b1", + "bpm.17l2.b1", + "mqt.17l2.b1", + "mq.17l2.b1", + "ms.17l2.b1", + "mcbh.17l2.b1", + "mco.b17l2.b1", + "mcd.b17l2.b1", + "mb.c17l2.b1", + "mcs.c17l2.b1", + "mb.b17l2.b1", + "mcs.b17l2.b1", + "mco.a17l2.b1", + "mcd.a17l2.b1", + "mb.a17l2.b1", + "mcs.a17l2.b1", + "bpm.16l2.b1", + "mqt.16l2.b1", + "mq.16l2.b1", + "ms.16l2.b1", + "mcbv.16l2.b1", + "mb.c16l2.b1", + "mcs.c16l2.b1", + "mco.16l2.b1", + "mcd.16l2.b1", + "mb.b16l2.b1", + "mcs.b16l2.b1", + "mb.a16l2.b1", + "mcs.a16l2.b1", + "bpm.15l2.b1", + "mqt.15l2.b1", + "mq.15l2.b1", + "ms.15l2.b1", + "mcbh.15l2.b1", + "mco.b15l2.b1", + "mcd.b15l2.b1", + "mb.c15l2.b1", + "mcs.c15l2.b1", + "mb.b15l2.b1", + "mcs.b15l2.b1", + "mco.a15l2.b1", + "mcd.a15l2.b1", + "mb.a15l2.b1", + "mcs.a15l2.b1", + "bpm.14l2.b1", + "mqt.14l2.b1", + "mq.14l2.b1", + "ms.14l2.b1", + "mcbv.14l2.b1", + "mb.c14l2.b1", + "mcs.c14l2.b1", + "mco.14l2.b1", + "mcd.14l2.b1", + "mb.b14l2.b1", + "mcs.b14l2.b1", + "mb.a14l2.b1", + "mcs.a14l2.b1", + "bpm.13l2.b1", + "mqt.13l2.b1", + "mq.13l2.b1", + "ms.13l2.b1", + "mcbh.13l2.b1", + "mco.b13l2.b1", + "mcd.b13l2.b1", + "mb.c13l2.b1", + "mcs.c13l2.b1", + "mb.b13l2.b1", + "mcs.b13l2.b1", + "mco.a13l2.b1", + "mcd.a13l2.b1", + "mb.a13l2.b1", + "mcs.a13l2.b1", + "bpm.12l2.b1", + "mqt.12l2.b1", + "mq.12l2.b1", + "ms.12l2.b1", + "mcbv.12l2.b1", + "mb.c12l2.b1", + "mcs.c12l2.b1", + "mco.12l2.b1", + "mcd.12l2.b1", + "mb.b12l2.b1", + "mcs.b12l2.b1", + "mb.a12l2.b1", + "mcs.a12l2.b1", + "bpm.11l2.b1", + "mq.11l2.b1", + "mqtli.11l2.b1", + "ms.11l2.b1", + "mcbh.11l2.b1", + "mco.11l2.b1", + "mcd.11l2.b1", + "mb.b11l2.b1", + "mcs.b11l2.b1", + "mb.a11l2.b1", + "mcs.a11l2.b1", + "bpm.10l2.b1", + "mqml.10l2.b1", + "mcbcv.10l2.b1", + "mco.10l2.b1", + "mcd.10l2.b1", + "mb.b10l2.b1", + "mcs.b10l2.b1", + "mb.a10l2.b1", + "mcs.a10l2.b1", + "bpm.9l2.b1", + "mqmc.9l2.b1", + "mqm.9l2.b1", + "mcbch.9l2.b1", + "mco.9l2.b1", + "mcd.9l2.b1", + "mb.b9l2.b1", + "mcs.b9l2.b1", + "mb.a9l2.b1", + "mcs.a9l2.b1", + "bpm.8l2.b1", + "mqml.8l2.b1", + "mcbcv.8l2.b1", + "mco.8l2.b1", + "mcd.8l2.b1", + "mb.b8l2.b1", + "mcs.b8l2.b1", + "mb.a8l2.b1", + "mcs.a8l2.b1", + "bpm.7l2.b1", + "mqm.b7l2.b1", + "mqm.a7l2.b1", + "mcbch.7l2.b1", + "dfbac.7l2.b1", + "mcbcv.6l2.b1", + "mqml.6l2.b1", + "mqm.6l2.b1", + "bpmr.6l2.b1", + "msib.c6l2.b1", + "msib.b6l2.b1", + "msib.a6l2.b1", + "msia.b6l2.b1", + "msia.a6l2.b1", + "btvss.6l2.b1", + "mcbyh.b5l2.b1", + "mcbyv.5l2.b1", + "mcbyh.a5l2.b1", + "mqy.b5l2.b1", + "mqy.a5l2.b1", + "bpmyb.5l2.b1", + "btvsi.c5l2.b1", + "mki.d5l2.b1", + "mki.c5l2.b1", + "mki.b5l2.b1", + "mki.a5l2.b1", + "bptx.5l2.b1", + "btvsi.a5l2.b1", + "bpmyb.4l2.b1", + "mqy.b4l2.b1", + "mqy.a4l2.b1", + "mcbyv.b4l2.b1", + "mcbyh.4l2.b1", + "mcbyv.a4l2.b1", + "mbrc.4l2.b1", + "bpmwi.4l2.b1", + "bptuh.a4l2.b1", + "tctph.4l2.b1", + "bptdh.a4l2.b1", + "bptuv.a4l2.b1", + "tctpv.4l2.b1", + "bptdv.a4l2.b1", + "x2zdc.4l2", + "btvst.a4l2", + "tcdd.4l2", + "bpmsx.4l2.b1", + "mbx.4l2", + "dfbxc.3l2", + "mcosx.3l2", + "mcox.3l2", + "mcssx.3l2", + "mcbxh.3l2", + "mcbxv.3l2", + "mcsx.3l2", + "mctx.3l2", + "mqxa.3l2", + "mqsx.3l2", + "mqxb.b2l2", + "mcbxh.2l2", + "mcbxv.2l2", + "mqxb.a2l2", + "bpms.2l2.b1", + "mcbxh.1l2", + "mcbxv.1l2", + "mqxa.1l2", + "bpmsw.1l2.b1", + "bpmsw.1l2.b1_doros", + "mbxwt.1l2", + "mbwmd.1l2", + "ip2", + "mbaw.1r2", + "mbxwt.1r2", + "bpmsw.1r2.b1", + "bpmsw.1r2.b1_doros", + "mqxa.1r2", + "mcbxh.1r2", + "mcbxv.1r2", + "bpms.2r2.b1", + "mqxb.a2r2", + "mcbxh.2r2", + "mcbxv.2r2", + "mqxb.b2r2", + "mqsx.3r2", + "mqxa.3r2", + "mcbxh.3r2", + "mcbxv.3r2", + "mcsx.3r2", + "mctx.3r2", + "mcosx.3r2", + "mcox.3r2", + "mcssx.3r2", + "dfbxd.3r2", + "mbx.4r2", + "bpmsx.4r2.b1", + "tclia.4r2", + "x2zdc.4r2", + "bpmwb.4r2.b1", + "mbrc.4r2.b1", + "mcbyh.a4r2.b1", + "mcbyv.4r2.b1", + "mcbyh.b4r2.b1", + "mqy.a4r2.b1", + "mqy.b4r2.b1", + "bpmyb.4r2.b1", + "mcbcv.a5r2.b1", + "mcbch.5r2.b1", + "mcbcv.b5r2.b1", + "mqm.a5r2.b1", + "mqm.b5r2.b1", + "bpmr.5r2.b1", + "tclib.6r2.b1", + "tclim.6r2.b1", + "mcbch.6r2.b1", + "mqml.6r2.b1", + "mqm.6r2.b1", + "bpm.6r2.b1", + "dfbad.7r2.b1", + "bpm_a.7r2.b1", + "mqm.a7r2.b1", + "mqm.b7r2.b1", + "mcbcv.7r2.b1", + "mco.8r2.b1", + "mcd.8r2.b1", + "mb.a8r2.b1", + "mcs.a8r2.b1", + "mb.b8r2.b1", + "mcs.b8r2.b1", + "bpm.8r2.b1", + "mqml.8r2.b1", + "mcbch.8r2.b1", + "mco.9r2.b1", + "mcd.9r2.b1", + "mb.a9r2.b1", + "mcs.a9r2.b1", + "mb.b9r2.b1", + "mcs.b9r2.b1", + "bpm.9r2.b1", + "mqmc.9r2.b1", + "mqm.9r2.b1", + "mcbcv.9r2.b1", + "mco.10r2.b1", + "mcd.10r2.b1", + "mb.a10r2.b1", + "mcs.a10r2.b1", + "mb.b10r2.b1", + "mcs.b10r2.b1", + "bpm.10r2.b1", + "mqml.10r2.b1", + "mcbch.10r2.b1", + "mco.11r2.b1", + "mcd.11r2.b1", + "mb.a11r2.b1", + "mcs.a11r2.b1", + "mb.b11r2.b1", + "mcs.b11r2.b1", + "bpm.11r2.b1", + "mq.11r2.b1", + "mqtli.11r2.b1", + "ms.11r2.b1", + "mcbv.11r2.b1", + "mco.a12r2.b1", + "mcd.a12r2.b1", + "mb.a12r2.b1", + "mcs.a12r2.b1", + "mb.b12r2.b1", + "mcs.b12r2.b1", + "mco.b12r2.b1", + "mcd.b12r2.b1", + "mb.c12r2.b1", + "mcs.c12r2.b1", + "bpm.12r2.b1", + "mqt.12r2.b1", + "mq.12r2.b1", + "ms.12r2.b1", + "mcbh.12r2.b1", + "mb.a13r2.b1", + "mcs.a13r2.b1", + "mco.13r2.b1", + "mcd.13r2.b1", + "mb.b13r2.b1", + "mcs.b13r2.b1", + "mb.c13r2.b1", + "mcs.c13r2.b1", + "bpm.13r2.b1", + "mqt.13r2.b1", + "mq.13r2.b1", + "ms.13r2.b1", + "mcbv.13r2.b1", + "mco.a14r2.b1", + "mcd.a14r2.b1", + "mb.a14r2.b1", + "mcs.a14r2.b1", + "mb.b14r2.b1", + "mcs.b14r2.b1", + "mco.b14r2.b1", + "mcd.b14r2.b1", + "mb.c14r2.b1", + "mcs.c14r2.b1", + "bpm.14r2.b1", + "mqt.14r2.b1", + "mq.14r2.b1", + 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"mcd.b17l3.b1", + "mb.c17l3.b1", + "mcs.c17l3.b1", + "mb.b17l3.b1", + "mcs.b17l3.b1", + "mco.a17l3.b1", + "mcd.a17l3.b1", + "mb.a17l3.b1", + "mcs.a17l3.b1", + "bpm.16l3.b1", + "mqt.16l3.b1", + "mq.16l3.b1", + "ms.16l3.b1", + "mcbh.16l3.b1", + "mb.c16l3.b1", + "mcs.c16l3.b1", + "mco.16l3.b1", + "mcd.16l3.b1", + "mb.b16l3.b1", + "mcs.b16l3.b1", + "mb.a16l3.b1", + "mcs.a16l3.b1", + "bpm.15l3.b1", + "mqt.15l3.b1", + "mq.15l3.b1", + "ms.15l3.b1", + "mcbv.15l3.b1", + "mco.b15l3.b1", + "mcd.b15l3.b1", + "mb.c15l3.b1", + "mcs.c15l3.b1", + "mb.b15l3.b1", + "mcs.b15l3.b1", + "mco.a15l3.b1", + "mcd.a15l3.b1", + "mb.a15l3.b1", + "mcs.a15l3.b1", + "bpm.14l3.b1", + "mqt.14l3.b1", + "mq.14l3.b1", + "ms.14l3.b1", + "mcbh.14l3.b1", + "mb.c14l3.b1", + "mcs.c14l3.b1", + "mco.14l3.b1", + "mcd.14l3.b1", + "mb.b14l3.b1", + "mcs.b14l3.b1", + "mb.a14l3.b1", + "mcs.a14l3.b1", + "bpm.13l3.b1", + "mqt.13l3.b1", + "mq.13l3.b1", + "ms.13l3.b1", + "mcbv.13l3.b1", + "mco.b13l3.b1", + "mcd.b13l3.b1", + "mb.c13l3.b1", + "mcs.c13l3.b1", + "mb.b13l3.b1", + "mcs.b13l3.b1", + "mco.a13l3.b1", + "mcd.a13l3.b1", + "mb.a13l3.b1", + "mcs.a13l3.b1", + "bpm.12l3.b1", + "mqt.12l3.b1", + "mq.12l3.b1", + "ms.12l3.b1", + "mcbh.12l3.b1", + "mb.c12l3.b1", + "mcs.c12l3.b1", + "mco.12l3.b1", + "mcd.12l3.b1", + "mb.b12l3.b1", + "mcs.b12l3.b1", + "mb.a12l3.b1", + "mcs.a12l3.b1", + "bpm.11l3.b1", + "mq.11l3.b1", + "mqtli.11l3.b1", + "ms.11l3.b1", + "mcbv.11l3.b1", + "lefl.11l3.b1", + "mco.11l3.b1", + "mcd.11l3.b1", + "mb.b11l3.b1", + "mcs.b11l3.b1", + "mb.a11l3.b1", + "mcs.a11l3.b1", + "bpm.10l3.b1", + "mq.10l3.b1", + "mqtli.10l3.b1", + "mcbch.10l3.b1", + "mco.10l3.b1", + "mcd.10l3.b1", + "mb.b10l3.b1", + "mcs.b10l3.b1", + "mb.a10l3.b1", + "mcs.a10l3.b1", + "bpm.9l3.b1", + "mq.9l3.b1", + "mqtli.b9l3.b1", + "mqtli.a9l3.b1", + "mcbcv.9l3.b1", + "mco.9l3.b1", + "mcd.9l3.b1", + "mb.b9l3.b1", + "mcs.b9l3.b1", + "mb.a9l3.b1", + "mcs.a9l3.b1", + "bpm.8l3.b1", + "mq.8l3.b1", + "mqtli.8l3.b1", + "mcbch.8l3.b1", + "mco.8l3.b1", + "mcd.8l3.b1", + "mb.b8l3.b1", + "mcs.b8l3.b1", + "mb.a8l3.b1", + "mcs.a8l3.b1", + "bpm.7l3.b1", + "mq.7l3.b1", + "mqtli.7l3.b1", + "mcbcv.7l3.b1", + "dfbae.7l3.b1", + "btvm.7l3.b1", + "mcbch.6l3.b1", + "mqtlh.f6l3.b1", + "mqtlh.e6l3.b1", + "mqtlh.d6l3.b1", + "mqtlh.c6l3.b1", + "mqtlh.b6l3.b1", + "mqtlh.a6l3.b1", + "bpm.6l3.b1", + "mbw.f6l3.b1", + "mbw.e6l3.b1", + "mbw.d6l3.b1", + "tcp.6l3.b1", + "tcapa.6l3.b1", + "mbw.c6l3.b1", + "mbw.b6l3.b1", + "mbw.a6l3.b1", + "bpmwg.a5l3.b1", + "tcapd.5l3.b1", + "mqwa.e5l3.b1", + "mqwa.d5l3.b1", + "tcsg.5l3.b1", + "mqwa.c5l3.b1", + "mqwb.5l3.b1", + "mqwa.b5l3.b1", + "mqwa.a5l3.b1", + "bpmw.5l3.b1", + "mcbwv.5l3.b1", + "bpmwe.4l3.b1", + "mqwa.e4l3.b1", + "mqwa.d4l3.b1", + "mqwa.c4l3.b1", + "mqwb.4l3.b1", + "mqwa.b4l3.b1", + "mqwa.a4l3.b1", + "bpmw.4l3.b1", + "mcbwh.4l3.b1", + "mcbwv.4r3.b1", + "bpmw.4r3.b1", + "mqwa.a4r3.b1", + "mqwa.b4r3.b1", + "mqwb.4r3.b1", + "mqwa.c4r3.b1", + "mqwa.d4r3.b1", + "tcsg.4r3.b1", + "mqwa.e4r3.b1", + "bpmwe.4r3.b1", + "tcsg.a5r3.b1", + "tcsg.b5r3.b1", + "tcla.a5r3.b1", + "tcla.b5r3.b1", + "mcbwh.5r3.b1", + "bpmw.5r3.b1", + "mqwa.a5r3.b1", + "mqwa.b5r3.b1", + "mqwb.5r3.b1", + "mqwa.c5r3.b1", + "mqwa.d5r3.b1", + "mqwa.e5r3.b1", + "bpmwj.a5r3.b1", + "mbw.a6r3.b1", + "mbw.b6r3.b1", + "mbw.c6r3.b1", + "tcla.6r3.b1", + "mbw.d6r3.b1", + "mbw.e6r3.b1", + "mbw.f6r3.b1", + "bpmwc.6r3.b1", + "mcbcv.6r3.b1", + "mqtlh.a6r3.b1", + "mqtlh.b6r3.b1", + "mqtlh.c6r3.b1", + "mqtlh.d6r3.b1", + "mqtlh.e6r3.b1", + "mqtlh.f6r3.b1", + "bpmr.6r3.b1", + "tcla.7r3.b1", + "dfbaf.7r3.b1", + "bpm_a.7r3.b1", + "mq.7r3.b1", + "mqtli.7r3.b1", + "mcbch.7r3.b1", + "mco.8r3.b1", + "mcd.8r3.b1", + "mb.a8r3.b1", + "mcs.a8r3.b1", + "mb.b8r3.b1", + "mcs.b8r3.b1", + "bpm.8r3.b1", + "mq.8r3.b1", + "mqtli.8r3.b1", + "mcbcv.8r3.b1", + "mco.9r3.b1", + "mcd.9r3.b1", + "mb.a9r3.b1", + "mcs.a9r3.b1", + "mb.b9r3.b1", + "mcs.b9r3.b1", + "bpm.9r3.b1", + "mq.9r3.b1", + "mqtli.a9r3.b1", + "mqtli.b9r3.b1", + "mcbch.9r3.b1", + "mco.10r3.b1", + "mcd.10r3.b1", + "mb.a10r3.b1", + "mcs.a10r3.b1", + "mb.b10r3.b1", + "mcs.b10r3.b1", + "bpm.10r3.b1", + "mq.10r3.b1", + "mqtli.10r3.b1", + "mcbcv.10r3.b1", + "mco.11r3.b1", + "mcd.11r3.b1", + "mb.a11r3.b1", + "mcs.a11r3.b1", + "mb.b11r3.b1", + "mcs.b11r3.b1", + "leel.11r3.b1", + "bpm.11r3.b1", + "mq.11r3.b1", + "mqtli.11r3.b1", + "ms.11r3.b1", + "mcbh.11r3.b1", + "mco.a12r3.b1", + "mcd.a12r3.b1", + "mb.a12r3.b1", + "mcs.a12r3.b1", + "mb.b12r3.b1", + "mcs.b12r3.b1", + "mco.b12r3.b1", + "mcd.b12r3.b1", + "mb.c12r3.b1", + "mcs.c12r3.b1", + "bpm.12r3.b1", + "mqt.12r3.b1", + "mq.12r3.b1", + "ms.12r3.b1", + "mcbv.12r3.b1", + "mb.a13r3.b1", + "mcs.a13r3.b1", + "mco.13r3.b1", + "mcd.13r3.b1", + "mb.b13r3.b1", + "mcs.b13r3.b1", + "mb.c13r3.b1", + "mcs.c13r3.b1", + "bpm.13r3.b1", + "mqt.13r3.b1", + "mq.13r3.b1", + "ms.13r3.b1", + "mcbh.13r3.b1", + "mco.a14r3.b1", + "mcd.a14r3.b1", + "mb.a14r3.b1", + "mcs.a14r3.b1", + "mb.b14r3.b1", + "mcs.b14r3.b1", + "mco.b14r3.b1", + "mcd.b14r3.b1", + "mb.c14r3.b1", + "mcs.c14r3.b1", + "bpm.14r3.b1", + "mqt.14r3.b1", + "mq.14r3.b1", + "ms.14r3.b1", + "mcbv.14r3.b1", + "mb.a15r3.b1", + "mcs.a15r3.b1", + "mco.15r3.b1", + "mcd.15r3.b1", + "mb.b15r3.b1", + "mcs.b15r3.b1", + "mb.c15r3.b1", + "mcs.c15r3.b1", + "bpm.15r3.b1", + "mqt.15r3.b1", + "mq.15r3.b1", + "ms.15r3.b1", + "mcbh.15r3.b1", + "mco.a16r3.b1", + "mcd.a16r3.b1", + "mb.a16r3.b1", + "mcs.a16r3.b1", + "mb.b16r3.b1", + "mcs.b16r3.b1", + "mco.b16r3.b1", + "mcd.b16r3.b1", + "mb.c16r3.b1", + "mcs.c16r3.b1", + "bpm.16r3.b1", + "mqt.16r3.b1", + "mq.16r3.b1", + "ms.16r3.b1", + "mcbv.16r3.b1", + "mb.a17r3.b1", + "mcs.a17r3.b1", + "mco.17r3.b1", + "mcd.17r3.b1", + "mb.b17r3.b1", + "mcs.b17r3.b1", + "mb.c17r3.b1", + "mcs.c17r3.b1", + "bpm.17r3.b1", + "mqt.17r3.b1", + "mq.17r3.b1", + "ms.17r3.b1", + "mcbh.17r3.b1", + "mco.a18r3.b1", + "mcd.a18r3.b1", + "mb.a18r3.b1", + "mcs.a18r3.b1", + "mb.b18r3.b1", + "mcs.b18r3.b1", + "mco.b18r3.b1", + "mcd.b18r3.b1", + "mb.c18r3.b1", + "mcs.c18r3.b1", + "bpm.18r3.b1", + "mqt.18r3.b1", + "mq.18r3.b1", + "ms.18r3.b1", + "mcbv.18r3.b1", + "mb.a19r3.b1", + "mcs.a19r3.b1", + "mco.19r3.b1", + "mcd.19r3.b1", + "mb.b19r3.b1", + "mcs.b19r3.b1", + "mb.c19r3.b1", + "mcs.c19r3.b1", + "bpm.19r3.b1", + "mqt.19r3.b1", + "mq.19r3.b1", + "ms.19r3.b1", + "mcbh.19r3.b1", + "mco.a20r3.b1", + "mcd.a20r3.b1", + "mb.a20r3.b1", + "mcs.a20r3.b1", + "mb.b20r3.b1", + "mcs.b20r3.b1", + "mco.b20r3.b1", + "mcd.b20r3.b1", + "mb.c20r3.b1", + "mcs.c20r3.b1", + "bpm.20r3.b1", + "mqt.20r3.b1", + "mq.20r3.b1", + "ms.20r3.b1", + "mcbv.20r3.b1", + "mb.a21r3.b1", + "mcs.a21r3.b1", + "mco.21r3.b1", + "mcd.21r3.b1", + "mb.b21r3.b1", + "mcs.b21r3.b1", + "mb.c21r3.b1", + "mcs.c21r3.b1", + "bpm.21r3.b1", + "mqt.21r3.b1", + "mq.21r3.b1", + "ms.21r3.b1", + "mcbh.21r3.b1", + "mco.a22r3.b1", + "mcd.a22r3.b1", + "mb.a22r3.b1", + "mcs.a22r3.b1", + "mb.b22r3.b1", + "mcs.b22r3.b1", + "mco.b22r3.b1", + "mcd.b22r3.b1", + "mb.c22r3.b1", + "mcs.c22r3.b1", + "bpm.22r3.b1", + "mo.22r3.b1", + "mq.22r3.b1", + "ms.22r3.b1", + "mcbv.22r3.b1", + "mb.a23r3.b1", + "mcs.a23r3.b1", + "mco.23r3.b1", + "mcd.23r3.b1", + "mb.b23r3.b1", + "mcs.b23r3.b1", + "mb.c23r3.b1", + "mcs.c23r3.b1", + "bpm.23r3.b1", + "mqs.23r3.b1", + "mq.23r3.b1", + "ms.23r3.b1", + "mcbh.23r3.b1", + "mco.a24r3.b1", + "mcd.a24r3.b1", + "mb.a24r3.b1", + "mcs.a24r3.b1", + "mb.b24r3.b1", + "mcs.b24r3.b1", + "mco.b24r3.b1", + "mcd.b24r3.b1", + "mb.c24r3.b1", + "mcs.c24r3.b1", + "bpm.24r3.b1", + "mo.24r3.b1", + "mq.24r3.b1", + "ms.24r3.b1", + "mcbv.24r3.b1", + "mb.a25r3.b1", + "mcs.a25r3.b1", + "mco.25r3.b1", + "mcd.25r3.b1", + "mb.b25r3.b1", + "mcs.b25r3.b1", + "mb.c25r3.b1", + "mcs.c25r3.b1", + "bpm.25r3.b1", + "mo.25r3.b1", + "mq.25r3.b1", + "ms.25r3.b1", + "mcbh.25r3.b1", + "mco.a26r3.b1", + "mcd.a26r3.b1", + "mb.a26r3.b1", + "mcs.a26r3.b1", + "mb.b26r3.b1", + "mcs.b26r3.b1", + "mco.b26r3.b1", + "mcd.b26r3.b1", + "mb.c26r3.b1", + "mcs.c26r3.b1", + "bpm.26r3.b1", + "mo.26r3.b1", + "mq.26r3.b1", + "ms.26r3.b1", + "mcbv.26r3.b1", + "mb.a27r3.b1", + "mcs.a27r3.b1", + "mco.27r3.b1", + "mcd.27r3.b1", + "mb.b27r3.b1", + "mcs.b27r3.b1", + "mb.c27r3.b1", + "mcs.c27r3.b1", + "bpm.27r3.b1", + "mqs.27r3.b1", + "mq.27r3.b1", + "ms.27r3.b1", + "mcbh.27r3.b1", + "mco.a28r3.b1", + "mcd.a28r3.b1", + "mb.a28r3.b1", + "mcs.a28r3.b1", + "mb.b28r3.b1", + "mcs.b28r3.b1", + "mco.b28r3.b1", + "mcd.b28r3.b1", + "mb.c28r3.b1", + "mcs.c28r3.b1", + "bpm.28r3.b1", + "mq.28r3.b1", + "ms.28r3.b1", + "mcbv.28r3.b1", + "mb.a29r3.b1", + "mcs.a29r3.b1", + "mco.29r3.b1", + "mcd.29r3.b1", + "mb.b29r3.b1", + "mcs.b29r3.b1", + "mb.c29r3.b1", + "mcs.c29r3.b1", + "bpm.29r3.b1", + "mo.29r3.b1", + "mq.29r3.b1", + "mss.29r3.b1", + "mcbh.29r3.b1", + "mco.a30r3.b1", + "mcd.a30r3.b1", + "mb.a30r3.b1", + "mcs.a30r3.b1", + "mb.b30r3.b1", + "mcs.b30r3.b1", + "mco.b30r3.b1", + "mcd.b30r3.b1", + "mb.c30r3.b1", + "mcs.c30r3.b1", + "bpm.30r3.b1", + "mo.30r3.b1", + "mq.30r3.b1", + "ms.30r3.b1", + "mcbv.30r3.b1", + "mb.a31r3.b1", + "mcs.a31r3.b1", + "mco.31r3.b1", + "mcd.31r3.b1", + "mb.b31r3.b1", + "mcs.b31r3.b1", + "mb.c31r3.b1", + "mcs.c31r3.b1", + "bpm.31r3.b1", + "mo.31r3.b1", + "mq.31r3.b1", + "ms.31r3.b1", + "mcbh.31r3.b1", + "mco.a32r3.b1", + "mcd.a32r3.b1", + "mb.a32r3.b1", + "mcs.a32r3.b1", + "mb.b32r3.b1", + "mcs.b32r3.b1", + "mco.b32r3.b1", + "mcd.b32r3.b1", + "mb.c32r3.b1", + "mcs.c32r3.b1", + "bpm.32r3.b1", + "mq.32r3.b1", + "ms.32r3.b1", + "mcbv.32r3.b1", + "mb.a33r3.b1", + "mcs.a33r3.b1", + "mco.33r3.b1", + "mcd.33r3.b1", + "mb.b33r3.b1", + "mcs.b33r3.b1", + "mb.c33r3.b1", + "mcs.c33r3.b1", + "bpm.33r3.b1", + "mo.33r3.b1", + "mq.33r3.b1", + "mss.33r3.b1", + "mcbh.33r3.b1", + "mco.a34r3.b1", + "mcd.a34r3.b1", + "mb.a34r3.b1", + "mcs.a34r3.b1", + "mb.b34r3.b1", + "mcs.b34r3.b1", + "mco.b34r3.b1", + "mcd.b34r3.b1", + "mb.c34r3.b1", + "mcs.c34r3.b1", + "bpm.34r3.b1", + "mo.34r3.b1", + "mq.34r3.b1", + "ms.34l4.b1", + "mcbv.34l4.b1", + "mb.c34l4.b1", + "mcs.c34l4.b1", + "mco.34l4.b1", + "mcd.34l4.b1", + "mb.b34l4.b1", + "mcs.b34l4.b1", + "mb.a34l4.b1", + "mcs.a34l4.b1", + "bpm.33l4.b1", + "mo.33l4.b1", + "mq.33l4.b1", + "mss.33l4.b1", + "mcbh.33l4.b1", + "mco.b33l4.b1", + "mcd.b33l4.b1", + "mb.c33l4.b1", + "mcs.c33l4.b1", + "mb.b33l4.b1", + "mcs.b33l4.b1", + "mco.a33l4.b1", + "mcd.a33l4.b1", + "mb.a33l4.b1", + "mcs.a33l4.b1", + "bpm.32l4.b1", + "mo.32l4.b1", + "mq.32l4.b1", + "ms.32l4.b1", + "mcbv.32l4.b1", + "mb.c32l4.b1", + "mcs.c32l4.b1", + "mco.32l4.b1", + "mcd.32l4.b1", + "mb.b32l4.b1", + "mcs.b32l4.b1", + "mb.a32l4.b1", + "mcs.a32l4.b1", + "bpm.31l4.b1", + "mo.31l4.b1", + "mq.31l4.b1", + "ms.31l4.b1", + "mcbh.31l4.b1", + "mco.b31l4.b1", + "mcd.b31l4.b1", + "mb.c31l4.b1", + "mcs.c31l4.b1", + "mb.b31l4.b1", + "mcs.b31l4.b1", + "mco.a31l4.b1", + "mcd.a31l4.b1", + "mb.a31l4.b1", + "mcs.a31l4.b1", + "bpm.30l4.b1", + "mo.30l4.b1", + "mq.30l4.b1", + "ms.30l4.b1", + "mcbv.30l4.b1", + "mb.c30l4.b1", + "mcs.c30l4.b1", + "mco.30l4.b1", + "mcd.30l4.b1", + "mb.b30l4.b1", + "mcs.b30l4.b1", + "mb.a30l4.b1", + "mcs.a30l4.b1", + "bpm.29l4.b1", + "mo.29l4.b1", + "mq.29l4.b1", + "mss.29l4.b1", + "mcbh.29l4.b1", + "mco.b29l4.b1", + "mcd.b29l4.b1", + "mb.c29l4.b1", + "mcs.c29l4.b1", + "mb.b29l4.b1", + "mcs.b29l4.b1", + "mco.a29l4.b1", + "mcd.a29l4.b1", + "mb.a29l4.b1", + "mcs.a29l4.b1", + "bpm.28l4.b1", + "mo.28l4.b1", + "mq.28l4.b1", + "ms.28l4.b1", + "mcbv.28l4.b1", + "mb.c28l4.b1", + "mcs.c28l4.b1", + "mco.28l4.b1", + "mcd.28l4.b1", + "mb.b28l4.b1", + "mcs.b28l4.b1", + "mb.a28l4.b1", + "mcs.a28l4.b1", + "bpm.27l4.b1", + "mqs.27l4.b1", + "mq.27l4.b1", + "ms.27l4.b1", + "mcbh.27l4.b1", + "mco.b27l4.b1", + "mcd.b27l4.b1", + "mb.c27l4.b1", + "mcs.c27l4.b1", + "mb.b27l4.b1", + "mcs.b27l4.b1", + "mco.a27l4.b1", + "mcd.a27l4.b1", + "mb.a27l4.b1", + "mcs.a27l4.b1", + "bpm.26l4.b1", + "mo.26l4.b1", + "mq.26l4.b1", + "ms.26l4.b1", + "mcbv.26l4.b1", + "mb.c26l4.b1", + "mcs.c26l4.b1", + "mco.26l4.b1", + "mcd.26l4.b1", + "mb.b26l4.b1", + "mcs.b26l4.b1", + "mb.a26l4.b1", + "mcs.a26l4.b1", + "bpm.25l4.b1", + "mo.25l4.b1", + "mq.25l4.b1", + "ms.25l4.b1", + "mcbh.25l4.b1", + "mco.b25l4.b1", + "mcd.b25l4.b1", + "mb.c25l4.b1", + "mcs.c25l4.b1", + "mb.b25l4.b1", + "mcs.b25l4.b1", + "mco.a25l4.b1", + "mcd.a25l4.b1", + "mb.a25l4.b1", + "mcs.a25l4.b1", + "bpm.24l4.b1", + "mo.24l4.b1", + "mq.24l4.b1", + "ms.24l4.b1", + "mcbv.24l4.b1", + "mb.c24l4.b1", + "mcs.c24l4.b1", + "mco.24l4.b1", + "mcd.24l4.b1", + "mb.b24l4.b1", + "mcs.b24l4.b1", + "mb.a24l4.b1", + "mcs.a24l4.b1", + "bpm.23l4.b1", + "mqs.23l4.b1", + "mq.23l4.b1", + "ms.23l4.b1", + "mcbh.23l4.b1", + "mco.b23l4.b1", + "mcd.b23l4.b1", + "mb.c23l4.b1", + "mcs.c23l4.b1", + "mb.b23l4.b1", + "mcs.b23l4.b1", + "mco.a23l4.b1", + "mcd.a23l4.b1", + "mb.a23l4.b1", + "mcs.a23l4.b1", + "bpm.22l4.b1", + "mo.22l4.b1", + "mq.22l4.b1", + "ms.22l4.b1", + "mcbv.22l4.b1", + "mb.c22l4.b1", + "mcs.c22l4.b1", + "mco.22l4.b1", + "mcd.22l4.b1", + "mb.b22l4.b1", + "mcs.b22l4.b1", + "mb.a22l4.b1", + "mcs.a22l4.b1", + "bpm.21l4.b1", + "mqt.21l4.b1", + "mq.21l4.b1", + "ms.21l4.b1", + "mcbh.21l4.b1", + "mco.b21l4.b1", + "mcd.b21l4.b1", + "mb.c21l4.b1", + "mcs.c21l4.b1", + "mb.b21l4.b1", + "mcs.b21l4.b1", + "mco.a21l4.b1", + "mcd.a21l4.b1", + "mb.a21l4.b1", + "mcs.a21l4.b1", + "bpm.20l4.b1", + "mqt.20l4.b1", + "mq.20l4.b1", + "ms.20l4.b1", + "mcbv.20l4.b1", + "mb.c20l4.b1", + "mcs.c20l4.b1", + "mco.20l4.b1", + "mcd.20l4.b1", + "mb.b20l4.b1", + "mcs.b20l4.b1", + "mb.a20l4.b1", + "mcs.a20l4.b1", + "bpm.19l4.b1", + "mqt.19l4.b1", + "mq.19l4.b1", + "ms.19l4.b1", + "mcbh.19l4.b1", + "mco.b19l4.b1", + "mcd.b19l4.b1", + "mb.c19l4.b1", + "mcs.c19l4.b1", + "mb.b19l4.b1", + "mcs.b19l4.b1", + "mco.a19l4.b1", + "mcd.a19l4.b1", + "mb.a19l4.b1", + "mcs.a19l4.b1", + "bpm.18l4.b1", + "mqt.18l4.b1", + "mq.18l4.b1", + "ms.18l4.b1", + "mcbv.18l4.b1", + "mb.c18l4.b1", + "mcs.c18l4.b1", + "mco.18l4.b1", + "mcd.18l4.b1", + "mb.b18l4.b1", + "mcs.b18l4.b1", + "mb.a18l4.b1", + "mcs.a18l4.b1", + "bpm.17l4.b1", + "mqt.17l4.b1", + "mq.17l4.b1", + "ms.17l4.b1", + "mcbh.17l4.b1", + "mco.b17l4.b1", + "mcd.b17l4.b1", + "mb.c17l4.b1", + "mcs.c17l4.b1", + "mb.b17l4.b1", + "mcs.b17l4.b1", + "mco.a17l4.b1", + "mcd.a17l4.b1", + "mb.a17l4.b1", + "mcs.a17l4.b1", + "bpm.16l4.b1", + "mqt.16l4.b1", + "mq.16l4.b1", + "ms.16l4.b1", + "mcbv.16l4.b1", + "mb.c16l4.b1", + "mcs.c16l4.b1", + "mco.16l4.b1", + "mcd.16l4.b1", + "mb.b16l4.b1", + "mcs.b16l4.b1", + "mb.a16l4.b1", + "mcs.a16l4.b1", + "bpm.15l4.b1", + "mqt.15l4.b1", + "mq.15l4.b1", + "ms.15l4.b1", + "mcbh.15l4.b1", + "mco.b15l4.b1", + "mcd.b15l4.b1", + "mb.c15l4.b1", + "mcs.c15l4.b1", + "mb.b15l4.b1", + "mcs.b15l4.b1", + "mco.a15l4.b1", + "mcd.a15l4.b1", + "mb.a15l4.b1", + "mcs.a15l4.b1", + "bpm.14l4.b1", + "mqt.14l4.b1", + "mq.14l4.b1", + "ms.14l4.b1", + "mcbv.14l4.b1", + "mb.c14l4.b1", + "mcs.c14l4.b1", + "mco.14l4.b1", + "mcd.14l4.b1", + "mb.b14l4.b1", + "mcs.b14l4.b1", + "mb.a14l4.b1", + "mcs.a14l4.b1", + "bpm.13l4.b1", + "mqt.13l4.b1", + "mq.13l4.b1", + "ms.13l4.b1", + "mcbh.13l4.b1", + "mco.b13l4.b1", + "mcd.b13l4.b1", + "mb.c13l4.b1", + "mcs.c13l4.b1", + "mb.b13l4.b1", + "mcs.b13l4.b1", + "mco.a13l4.b1", + "mcd.a13l4.b1", + "mb.a13l4.b1", + "mcs.a13l4.b1", + "bpm.12l4.b1", + "mqt.12l4.b1", + "mq.12l4.b1", + "ms.12l4.b1", + "mcbv.12l4.b1", + "mb.c12l4.b1", + "mcs.c12l4.b1", + "mco.12l4.b1", + "mcd.12l4.b1", + "mb.b12l4.b1", + "mcs.b12l4.b1", + "mb.a12l4.b1", + "mcs.a12l4.b1", + "bpm.11l4.b1", + "mq.11l4.b1", + "mqtli.11l4.b1", + "ms.11l4.b1", + "mcbh.11l4.b1", + "lebl.11l4.b1", + "mco.11l4.b1", + "mcd.11l4.b1", + "mb.b11l4.b1", + "mcs.b11l4.b1", + "mb.a11l4.b1", + "mcs.a11l4.b1", + "bpmcs.10l4.b1", + "bpm.10l4.b1", + "mqml.10l4.b1", + "mcbcv.10l4.b1", + "mco.10l4.b1", + "mcd.10l4.b1", + "mb.b10l4.b1", + "mcs.b10l4.b1", + "mb.a10l4.b1", + "mcs.a10l4.b1", + "bpmcs.9l4.b1", + "bpm.9l4.b1", + "mqmc.9l4.b1", + "mqm.9l4.b1", + "mcbch.9l4.b1", + "mco.9l4.b1", + "mcd.9l4.b1", + "mb.b9l4.b1", + "mcs.b9l4.b1", + "mb.a9l4.b1", + "mcs.a9l4.b1", + "bpmcs.8l4.b1", + "bpm.8l4.b1", + "mqml.8l4.b1", + "mcbcv.8l4.b1", + "mco.8l4.b1", + "mcd.8l4.b1", + "mb.b8l4.b1", + "mcs.b8l4.b1", + "mb.a8l4.b1", + "mcs.a8l4.b1", + "bpmcs.7l4.b1", + "bpm.7l4.b1", + "mqm.7l4.b1", + "mcbch.7l4.b1", + "dfbag.7l4.b1", + "bpmyb.6l4.b1", + "mqy.6l4.b1", + "mcbyv.6l4.b1", + "bqkv.6l4.b1", + "mkqa.6l4.b1", + "btvm.6l4.b1", + "apwl.b6l4.b1", + "bqkh.b6l4.b1", + "bpmya.5l4.b1", + "mqy.5l4.b1", + "mcbyh.5l4.b1", + "mbrb.5l4.b1", + "bpmwi.a5l4.b1", + "mbrs.5l4.b1", + "bpmwa.b5l4.b1", + "adtkh.d5l4.b1", + "adtkh.c5l4.b1", + "adtkh.b5l4.b1", + "adtkh.a5l4.b1", + "bpmwa.a5l4.b1", + "acsca.d5l4.b1", + "acsca.c5l4.b1", + "acsca.b5l4.b1", + "acsca.a5l4.b1", + "acsca.a5r4.b1", + "acsca.b5r4.b1", + "acsca.c5r4.b1", + "acsca.d5r4.b1", + "apwl.5r4.b1", + "apwl.b5r4.b1", + "bpmwa.a5r4.b1", + "adtkv.a5r4.b1", + "adtkv.b5r4.b1", + "adtkv.c5r4.b1", + "adtkv.d5r4.b1", + "bpmwa.b5r4.b1", + "mu.a5r4.b1", + "mu.b5r4.b1", + "mu.c5r4.b1", + "mu.d5r4.b1", + "mbrs.5r4.b1", + "bsrtr.5r4.b1", + "bsrtm.5r4.b1", + "bws.5r4.b1", + "bqsv.5r4.b1", + "mbrb.5r4.b1", + "mcbyv.5r4.b1", + "mqy.5r4.b1", + "bpmyb.5r4.b1", + "bplv.a6r4.b1", + "bplv.b6r4.b1", + "bplv.c6r4.b1", + "bplx.h6r4.b1", + "bplx.d6r4.b1", + "bctdc.a6r4.b1", + "bctdc.b6r4.b1", + "bctfr.a6r4.b1", + "bctfr.b6r4.b1", + "bplh.a6r4.b1", + "bplh.b6r4.b1", + "bpmya.6r4.b1", + "mqy.6r4.b1", + "mcbyh.6r4.b1", + "bqsh.7r4.b1", + "bplh.7r4.b1", + "dfbah.7r4.b1", + "bpmcs.7r4.b1", + "bpm.7r4.b1", + "mqm.7r4.b1", + "mcbcv.7r4.b1", + "mco.8r4.b1", + "mcd.8r4.b1", + "mb.a8r4.b1", + "mcs.a8r4.b1", + "mb.b8r4.b1", + "mcs.b8r4.b1", + "bpmcs.8r4.b1", + "bpm.8r4.b1", + "mqml.8r4.b1", + "mcbch.8r4.b1", + "mco.9r4.b1", + "mcd.9r4.b1", + "mb.a9r4.b1", + "mcs.a9r4.b1", + "mb.b9r4.b1", + "mcs.b9r4.b1", + "bpmcs.9r4.b1", + "bpm.9r4.b1", + "mqmc.9r4.b1", + "mqm.9r4.b1", + "mcbcv.9r4.b1", + "mco.10r4.b1", + "mcd.10r4.b1", + "mb.a10r4.b1", + "mcs.a10r4.b1", + "mb.b10r4.b1", + "mcs.b10r4.b1", + "bpmcs.10r4.b1", + "bpm.10r4.b1", + "mqml.10r4.b1", + "mcbch.10r4.b1", + 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+ "mcs.c18l6.b1", + "mco.18l6.b1", + "mcd.18l6.b1", + "mb.b18l6.b1", + "mcs.b18l6.b1", + "mb.a18l6.b1", + "mcs.a18l6.b1", + "bpm.17l6.b1", + "mqt.17l6.b1", + "mq.17l6.b1", + "ms.17l6.b1", + "mcbh.17l6.b1", + "mco.b17l6.b1", + "mcd.b17l6.b1", + "mb.c17l6.b1", + "mcs.c17l6.b1", + "mb.b17l6.b1", + "mcs.b17l6.b1", + "mco.a17l6.b1", + "mcd.a17l6.b1", + "mb.a17l6.b1", + "mcs.a17l6.b1", + "bpm.16l6.b1", + "mqt.16l6.b1", + "mq.16l6.b1", + "ms.16l6.b1", + "mcbv.16l6.b1", + "mb.c16l6.b1", + "mcs.c16l6.b1", + "mco.16l6.b1", + "mcd.16l6.b1", + "mb.b16l6.b1", + "mcs.b16l6.b1", + "mb.a16l6.b1", + "mcs.a16l6.b1", + "bpm.15l6.b1", + "mqt.15l6.b1", + "mq.15l6.b1", + "ms.15l6.b1", + "mcbh.15l6.b1", + "mco.b15l6.b1", + "mcd.b15l6.b1", + "mb.c15l6.b1", + "mcs.c15l6.b1", + "mb.b15l6.b1", + "mcs.b15l6.b1", + "mco.a15l6.b1", + "mcd.a15l6.b1", + "mb.a15l6.b1", + "mcs.a15l6.b1", + "bpm.14l6.b1", + "mqt.14l6.b1", + "mq.14l6.b1", + "ms.14l6.b1", + "mcbv.14l6.b1", + "mb.c14l6.b1", + "mcs.c14l6.b1", + 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+ "mcbch.9l6.b1", + "mco.9l6.b1", + "mcd.9l6.b1", + "mb.b9l6.b1", + "mcs.b9l6.b1", + "mb.a9l6.b1", + "mcs.a9l6.b1", + "bpm.8l6.b1", + "mqml.8l6.b1", + "mcbcv.8l6.b1", + "mco.8l6.b1", + "mcd.8l6.b1", + "mb.b8l6.b1", + "mcs.b8l6.b1", + "mb.a8l6.b1", + "mcs.a8l6.b1", + "lejl.5l6.b1", + "dfbak.5l6.b1", + "bpmya.5l6.b1", + "mqy.5l6.b1", + "mcbyh.5l6.b1", + "mkd.o5l6.b1", + "mkd.n5l6.b1", + "mkd.m5l6.b1", + "mkd.l5l6.b1", + "mkd.k5l6.b1", + "mkd.j5l6.b1", + "mkd.i5l6.b1", + "mkd.h5l6.b1", + "mkd.g5l6.b1", + "mkd.f5l6.b1", + "mkd.e5l6.b1", + "mkd.d5l6.b1", + "mkd.c5l6.b1", + "mkd.b5l6.b1", + "mkd.a5l6.b1", + "bpmyb.4l6.b1", + "mqy.4l6.b1", + "mcbyv.4l6.b1", + "tcdqm.b4l6.b1", + "tcdqm.a4l6.b1", + "bpmsx.b4l6.b1", + "bpmsx.b4l6.b1_itlk", + "bpmsx.a4l6.b1", + "bpmsx.a4l6.b1_itlk", + "bpmse.4l6.b1", + "btvse.a4l6.b1", + "tcdsa.4l6.b1", + "tcdsb.4l6.b1", + "msda.e4l6.b1", + "msda.d4l6.b1", + "msda.c4l6.b1", + "msda.b4l6.b1", + "msda.a4l6.b1", + "msdb.c4l6.b1", + "msdb.b4l6.b1", + "msdb2.4l6.b1", + "msdb2.4r6.b1", + "msdb.a4r6.b1", + "msdb.b4r6.b1", + "msdc.a4r6.b1", + "msdc.b4r6.b1", + "msdc.c4r6.b1", + "msdc.d4r6.b1", + "msdc.e4r6.b1", + "bpmsa.4r6.b1", + "bptuh.a4r6.b1", + "tcsp.a4r6.b1", + "bptdh.a4r6.b1", + "tcdqm.a4r6.b1", + "tcdqm.b4r6.b1", + "bpmya.4r6.b1", + "mqy.4r6.b1", + "mcbyh.4r6.b1", + "bpmyb.5r6.b1", + "mqy.5r6.b1", + "mcbyv.5r6.b1", + "dfbal.5r6.b1", + "mco.8r6.b1", + "mcd.8r6.b1", + "mb.a8r6.b1", + "mcs.a8r6.b1", + "mb.b8r6.b1", + "mcs.b8r6.b1", + "bpm.8r6.b1", + "mqml.8r6.b1", + "mcbch.8r6.b1", + "mco.9r6.b1", + "mcd.9r6.b1", + "mb.a9r6.b1", + "mcs.a9r6.b1", + "mb.b9r6.b1", + "mcs.b9r6.b1", + "bpm.9r6.b1", + "mqmc.9r6.b1", + "mqm.9r6.b1", + "mcbcv.9r6.b1", + "mco.10r6.b1", + "mcd.10r6.b1", + "mb.a10r6.b1", + "mcs.a10r6.b1", + "mb.b10r6.b1", + "mcs.b10r6.b1", + "bpm.10r6.b1", + "mqml.10r6.b1", + "mcbch.10r6.b1", + "mco.11r6.b1", + "mcd.11r6.b1", + "mb.a11r6.b1", + "mcs.a11r6.b1", + "mb.b11r6.b1", + "mcs.b11r6.b1", + "lear.11r6.b1", + "bpm.11r6.b1", + "mq.11r6.b1", + "mqtli.11r6.b1", + "ms.11r6.b1", + "mcbv.11r6.b1", + "mco.a12r6.b1", + "mcd.a12r6.b1", + "mb.a12r6.b1", + "mcs.a12r6.b1", + "mb.b12r6.b1", + "mcs.b12r6.b1", + "mco.b12r6.b1", + "mcd.b12r6.b1", + "mb.c12r6.b1", + "mcs.c12r6.b1", + "bpm.12r6.b1", + "mqt.12r6.b1", + "mq.12r6.b1", + "ms.12r6.b1", + "mcbh.12r6.b1", + "mb.a13r6.b1", + "mcs.a13r6.b1", + "mco.13r6.b1", + "mcd.13r6.b1", + "mb.b13r6.b1", + "mcs.b13r6.b1", + "mb.c13r6.b1", + "mcs.c13r6.b1", + "bpm.13r6.b1", + "mqt.13r6.b1", + "mq.13r6.b1", + "ms.13r6.b1", + "mcbv.13r6.b1", + "mco.a14r6.b1", + "mcd.a14r6.b1", + "mb.a14r6.b1", + "mcs.a14r6.b1", + "mb.b14r6.b1", + "mcs.b14r6.b1", + "mco.b14r6.b1", + "mcd.b14r6.b1", + "mb.c14r6.b1", + "mcs.c14r6.b1", + "bpm.14r6.b1", + "mqt.14r6.b1", + "mq.14r6.b1", + "ms.14r6.b1", + "mcbh.14r6.b1", + "mb.a15r6.b1", + "mcs.a15r6.b1", + "mco.15r6.b1", + "mcd.15r6.b1", + "mb.b15r6.b1", + "mcs.b15r6.b1", + "mb.c15r6.b1", + "mcs.c15r6.b1", + "bpm.15r6.b1", + "mqt.15r6.b1", + "mq.15r6.b1", + "ms.15r6.b1", + "mcbv.15r6.b1", + "mco.a16r6.b1", + "mcd.a16r6.b1", + "mb.a16r6.b1", + "mcs.a16r6.b1", + "mb.b16r6.b1", + "mcs.b16r6.b1", + "mco.b16r6.b1", + "mcd.b16r6.b1", + "mb.c16r6.b1", + "mcs.c16r6.b1", + "bpm.16r6.b1", + "mqt.16r6.b1", + "mq.16r6.b1", + "ms.16r6.b1", + "mcbh.16r6.b1", + "mb.a17r6.b1", + "mcs.a17r6.b1", + "mco.17r6.b1", + "mcd.17r6.b1", + "mb.b17r6.b1", + "mcs.b17r6.b1", + "mb.c17r6.b1", + "mcs.c17r6.b1", + "bpm.17r6.b1", + "mqt.17r6.b1", + "mq.17r6.b1", + "ms.17r6.b1", + "mcbv.17r6.b1", + "mco.a18r6.b1", + "mcd.a18r6.b1", + "mb.a18r6.b1", + "mcs.a18r6.b1", + "mb.b18r6.b1", + "mcs.b18r6.b1", + "mco.b18r6.b1", + "mcd.b18r6.b1", + "mb.c18r6.b1", + "mcs.c18r6.b1", + "bpm.18r6.b1", + "mqt.18r6.b1", + "mq.18r6.b1", + "ms.18r6.b1", + "mcbh.18r6.b1", + "mb.a19r6.b1", + "mcs.a19r6.b1", + "mco.19r6.b1", + "mcd.19r6.b1", + "mb.b19r6.b1", + "mcs.b19r6.b1", + "mb.c19r6.b1", + "mcs.c19r6.b1", + "bpm.19r6.b1", + "mqt.19r6.b1", + "mq.19r6.b1", + "ms.19r6.b1", + "mcbv.19r6.b1", + "mco.a20r6.b1", + "mcd.a20r6.b1", + "mb.a20r6.b1", + "mcs.a20r6.b1", + "mb.b20r6.b1", + "mcs.b20r6.b1", + "mco.b20r6.b1", + "mcd.b20r6.b1", + "mb.c20r6.b1", + "mcs.c20r6.b1", + "bpm.20r6.b1", + "mqt.20r6.b1", + "mq.20r6.b1", + "ms.20r6.b1", + "mcbh.20r6.b1", + "mb.a21r6.b1", + "mcs.a21r6.b1", + "mco.21r6.b1", + "mcd.21r6.b1", + "mb.b21r6.b1", + "mcs.b21r6.b1", + "mb.c21r6.b1", + "mcs.c21r6.b1", + "bpm.21r6.b1", + "mqt.21r6.b1", + "mq.21r6.b1", + "ms.21r6.b1", + "mcbv.21r6.b1", + "mco.a22r6.b1", + "mcd.a22r6.b1", + "mb.a22r6.b1", + "mcs.a22r6.b1", + "mb.b22r6.b1", + "mcs.b22r6.b1", + "mco.b22r6.b1", + "mcd.b22r6.b1", + "mb.c22r6.b1", + "mcs.c22r6.b1", + "bpm.22r6.b1", + "mo.22r6.b1", + "mq.22r6.b1", + "ms.22r6.b1", + "mcbh.22r6.b1", + "mb.a23r6.b1", + "mcs.a23r6.b1", + "mco.23r6.b1", + "mcd.23r6.b1", + "mb.b23r6.b1", + "mcs.b23r6.b1", + "mb.c23r6.b1", + "mcs.c23r6.b1", + "bpm.23r6.b1", + "mqs.23r6.b1", + "mq.23r6.b1", + "ms.23r6.b1", + "mcbv.23r6.b1", + "mco.a24r6.b1", + "mcd.a24r6.b1", + "mb.a24r6.b1", + "mcs.a24r6.b1", + "mb.b24r6.b1", + "mcs.b24r6.b1", + "mco.b24r6.b1", + "mcd.b24r6.b1", + "mb.c24r6.b1", + "mcs.c24r6.b1", + "bpm.24r6.b1", + "mo.24r6.b1", + "mq.24r6.b1", + "ms.24r6.b1", + "mcbh.24r6.b1", + "mb.a25r6.b1", + "mcs.a25r6.b1", + "mco.25r6.b1", + "mcd.25r6.b1", + "mb.b25r6.b1", + "mcs.b25r6.b1", + "mb.c25r6.b1", + "mcs.c25r6.b1", + "bpm.25r6.b1", + "mo.25r6.b1", + "mq.25r6.b1", + "ms.25r6.b1", + "mcbv.25r6.b1", + "mco.a26r6.b1", + "mcd.a26r6.b1", + "mb.a26r6.b1", + "mcs.a26r6.b1", + "mb.b26r6.b1", + "mcs.b26r6.b1", + "mco.b26r6.b1", + "mcd.b26r6.b1", + "mb.c26r6.b1", + "mcs.c26r6.b1", + "bpm.26r6.b1", + "mo.26r6.b1", + "mq.26r6.b1", + "ms.26r6.b1", + "mcbh.26r6.b1", + "mb.a27r6.b1", + "mcs.a27r6.b1", + "mco.27r6.b1", + "mcd.27r6.b1", + "mb.b27r6.b1", + "mcs.b27r6.b1", + "mb.c27r6.b1", + "mcs.c27r6.b1", + "bpm.27r6.b1", + "mqs.27r6.b1", + "mq.27r6.b1", + "ms.27r6.b1", + "mcbv.27r6.b1", + "mco.a28r6.b1", + "mcd.a28r6.b1", + "mb.a28r6.b1", + "mcs.a28r6.b1", + "mb.b28r6.b1", + "mcs.b28r6.b1", + "mco.b28r6.b1", + "mcd.b28r6.b1", + "mb.c28r6.b1", + "mcs.c28r6.b1", + "bpm.28r6.b1", + "mo.28r6.b1", + "mq.28r6.b1", + "ms.28r6.b1", + "mcbh.28r6.b1", + "mb.a29r6.b1", + "mcs.a29r6.b1", + "mco.29r6.b1", + "mcd.29r6.b1", + "mb.b29r6.b1", + "mcs.b29r6.b1", + "mb.c29r6.b1", + "mcs.c29r6.b1", + "bpm.29r6.b1", + "mo.29r6.b1", + "mq.29r6.b1", + "ms.29r6.b1", + "mcbv.29r6.b1", + "mco.a30r6.b1", + "mcd.a30r6.b1", + "mb.a30r6.b1", + "mcs.a30r6.b1", + "mb.b30r6.b1", + "mcs.b30r6.b1", + "mco.b30r6.b1", + "mcd.b30r6.b1", + "mb.c30r6.b1", + "mcs.c30r6.b1", + "bpm.30r6.b1", + "mo.30r6.b1", + "mq.30r6.b1", + "mss.30r6.b1", + "mcbh.30r6.b1", + "mb.a31r6.b1", + "mcs.a31r6.b1", + "mco.31r6.b1", + "mcd.31r6.b1", + "mb.b31r6.b1", + "mcs.b31r6.b1", + "mb.c31r6.b1", + "mcs.c31r6.b1", + "bpm.31r6.b1", + "mo.31r6.b1", + "mq.31r6.b1", + "ms.31r6.b1", + "mcbv.31r6.b1", + "mco.a32r6.b1", + "mcd.a32r6.b1", + "mb.a32r6.b1", + "mcs.a32r6.b1", + "mb.b32r6.b1", + "mcs.b32r6.b1", + "mco.b32r6.b1", + "mcd.b32r6.b1", + "mb.c32r6.b1", + "mcs.c32r6.b1", + "bpm.32r6.b1", + "mo.32r6.b1", + "mq.32r6.b1", + "ms.32r6.b1", + "mcbh.32r6.b1", + "mb.a33r6.b1", + "mcs.a33r6.b1", + "mco.33r6.b1", + "mcd.33r6.b1", + "mb.b33r6.b1", + "mcs.b33r6.b1", + "mb.c33r6.b1", + "mcs.c33r6.b1", + "bpm.33r6.b1", + "mo.33r6.b1", + "mq.33r6.b1", + "ms.33r6.b1", + "mcbv.33r6.b1", + "mco.a34r6.b1", + "mcd.a34r6.b1", + "mb.a34r6.b1", + "mcs.a34r6.b1", + "mb.b34r6.b1", + "mcs.b34r6.b1", + "mco.b34r6.b1", + "mcd.b34r6.b1", + "mb.c34r6.b1", + "mcs.c34r6.b1", + "bpm.34r6.b1", + "mo.34r6.b1", + "mq.34r6.b1", + "mss.34l7.b1", + "mcbh.34l7.b1", + "mb.c34l7.b1", + "mcs.c34l7.b1", + "mco.34l7.b1", + "mcd.34l7.b1", + "mb.b34l7.b1", + "mcs.b34l7.b1", + "mb.a34l7.b1", + "mcs.a34l7.b1", + "bpm.33l7.b1", + "mo.33l7.b1", + "mq.33l7.b1", + "ms.33l7.b1", + "mcbv.33l7.b1", + "mco.b33l7.b1", + "mcd.b33l7.b1", + "mb.c33l7.b1", + "mcs.c33l7.b1", + "mb.b33l7.b1", + "mcs.b33l7.b1", + "mco.a33l7.b1", + "mcd.a33l7.b1", + "mb.a33l7.b1", + "mcs.a33l7.b1", + "bpm.32l7.b1", + "mo.32l7.b1", + "mq.32l7.b1", + "mss.32l7.b1", + "mcbh.32l7.b1", + "mb.c32l7.b1", + "mcs.c32l7.b1", + "mco.32l7.b1", + "mcd.32l7.b1", + "mb.b32l7.b1", + "mcs.b32l7.b1", + "mb.a32l7.b1", + "mcs.a32l7.b1", + "bpm.31l7.b1", + "mo.31l7.b1", + "mq.31l7.b1", + "ms.31l7.b1", + "mcbv.31l7.b1", + "mco.b31l7.b1", + "mcd.b31l7.b1", + "mb.c31l7.b1", + "mcs.c31l7.b1", + "mb.b31l7.b1", + "mcs.b31l7.b1", + "mco.a31l7.b1", + "mcd.a31l7.b1", + "mb.a31l7.b1", + "mcs.a31l7.b1", + "bpm.30l7.b1", + "mo.30l7.b1", + "mq.30l7.b1", + "ms.30l7.b1", + "mcbh.30l7.b1", + "mb.c30l7.b1", + "mcs.c30l7.b1", + "mco.30l7.b1", + "mcd.30l7.b1", + "mb.b30l7.b1", + "mcs.b30l7.b1", + "mb.a30l7.b1", + "mcs.a30l7.b1", + "bpm.29l7.b1", + "mo.29l7.b1", + "mq.29l7.b1", + "ms.29l7.b1", + "mcbv.29l7.b1", + "mco.b29l7.b1", + "mcd.b29l7.b1", + "mb.c29l7.b1", + "mcs.c29l7.b1", + "mb.b29l7.b1", + "mcs.b29l7.b1", + "mco.a29l7.b1", + "mcd.a29l7.b1", + "mb.a29l7.b1", + "mcs.a29l7.b1", + "bpm.28l7.b1", + "mo.28l7.b1", + "mq.28l7.b1", + "mss.28l7.b1", + "mcbh.28l7.b1", + "mb.c28l7.b1", + "mcs.c28l7.b1", + "mco.28l7.b1", + "mcd.28l7.b1", + "mb.b28l7.b1", + "mcs.b28l7.b1", + "mb.a28l7.b1", + "mcs.a28l7.b1", + "bpm.27l7.b1", + "mqs.27l7.b1", + "mq.27l7.b1", + "ms.27l7.b1", + "mcbv.27l7.b1", + "mco.b27l7.b1", + "mcd.b27l7.b1", + "mb.c27l7.b1", + "mcs.c27l7.b1", + "mb.b27l7.b1", + "mcs.b27l7.b1", + "mco.a27l7.b1", + "mcd.a27l7.b1", + "mb.a27l7.b1", + "mcs.a27l7.b1", + "bpm.26l7.b1", + "mo.26l7.b1", + "mq.26l7.b1", + "ms.26l7.b1", + "mcbh.26l7.b1", + "mb.c26l7.b1", + "mcs.c26l7.b1", + "mco.26l7.b1", + "mcd.26l7.b1", + "mb.b26l7.b1", + "mcs.b26l7.b1", + "mb.a26l7.b1", + "mcs.a26l7.b1", + "bpm.25l7.b1", + "mo.25l7.b1", + "mq.25l7.b1", + "ms.25l7.b1", + "mcbv.25l7.b1", + "mco.b25l7.b1", + "mcd.b25l7.b1", + "mb.c25l7.b1", + "mcs.c25l7.b1", + "mb.b25l7.b1", + "mcs.b25l7.b1", + "mco.a25l7.b1", + "mcd.a25l7.b1", + "mb.a25l7.b1", + "mcs.a25l7.b1", + "bpm.24l7.b1", + "mo.24l7.b1", + "mq.24l7.b1", + "ms.24l7.b1", + "mcbh.24l7.b1", + "mb.c24l7.b1", + "mcs.c24l7.b1", + "mco.24l7.b1", + "mcd.24l7.b1", + "mb.b24l7.b1", + "mcs.b24l7.b1", + "mb.a24l7.b1", + "mcs.a24l7.b1", + "bpm.23l7.b1", + "mqs.23l7.b1", + "mq.23l7.b1", + "ms.23l7.b1", + "mcbv.23l7.b1", + "mco.b23l7.b1", + "mcd.b23l7.b1", + "mb.c23l7.b1", + "mcs.c23l7.b1", + "mb.b23l7.b1", + "mcs.b23l7.b1", + "mco.a23l7.b1", + "mcd.a23l7.b1", + "mb.a23l7.b1", + "mcs.a23l7.b1", + "bpm.22l7.b1", + "mo.22l7.b1", + "mq.22l7.b1", + "ms.22l7.b1", + "mcbh.22l7.b1", + "mb.c22l7.b1", + "mcs.c22l7.b1", + "mco.22l7.b1", + "mcd.22l7.b1", + "mb.b22l7.b1", + "mcs.b22l7.b1", + "mb.a22l7.b1", + "mcs.a22l7.b1", + "bpm.21l7.b1", + "mqt.21l7.b1", + "mq.21l7.b1", + "ms.21l7.b1", + "mcbv.21l7.b1", + "mco.b21l7.b1", + "mcd.b21l7.b1", + "mb.c21l7.b1", + "mcs.c21l7.b1", + "mb.b21l7.b1", + "mcs.b21l7.b1", + "mco.a21l7.b1", + "mcd.a21l7.b1", + "mb.a21l7.b1", + "mcs.a21l7.b1", + "bpm.20l7.b1", + "mqt.20l7.b1", + "mq.20l7.b1", + "ms.20l7.b1", + "mcbh.20l7.b1", + "mb.c20l7.b1", + "mcs.c20l7.b1", + "mco.20l7.b1", + "mcd.20l7.b1", + "mb.b20l7.b1", + "mcs.b20l7.b1", + "mb.a20l7.b1", + "mcs.a20l7.b1", + "bpm.19l7.b1", + "mqt.19l7.b1", + "mq.19l7.b1", + "ms.19l7.b1", + "mcbv.19l7.b1", + "mco.b19l7.b1", + "mcd.b19l7.b1", + "mb.c19l7.b1", + "mcs.c19l7.b1", + "mb.b19l7.b1", + "mcs.b19l7.b1", + "mco.a19l7.b1", + "mcd.a19l7.b1", + "mb.a19l7.b1", + "mcs.a19l7.b1", + "bpm.18l7.b1", + "mqt.18l7.b1", + "mq.18l7.b1", + "ms.18l7.b1", + "mcbh.18l7.b1", + "mb.c18l7.b1", + "mcs.c18l7.b1", + "mco.18l7.b1", + "mcd.18l7.b1", + "mb.b18l7.b1", + "mcs.b18l7.b1", + "mb.a18l7.b1", + "mcs.a18l7.b1", + "bpm.17l7.b1", + "mqt.17l7.b1", + "mq.17l7.b1", + "ms.17l7.b1", + "mcbv.17l7.b1", + "mco.b17l7.b1", + "mcd.b17l7.b1", + "mb.c17l7.b1", + "mcs.c17l7.b1", + "mb.b17l7.b1", + "mcs.b17l7.b1", + "mco.a17l7.b1", + "mcd.a17l7.b1", + "mb.a17l7.b1", + "mcs.a17l7.b1", + "bpm.16l7.b1", + "mqt.16l7.b1", + "mq.16l7.b1", + "ms.16l7.b1", + "mcbh.16l7.b1", + "mb.c16l7.b1", + "mcs.c16l7.b1", + "mco.16l7.b1", + "mcd.16l7.b1", + "mb.b16l7.b1", + "mcs.b16l7.b1", + "mb.a16l7.b1", + "mcs.a16l7.b1", + "bpm.15l7.b1", + "mqt.15l7.b1", + "mq.15l7.b1", + "ms.15l7.b1", + "mcbv.15l7.b1", + "mco.b15l7.b1", + "mcd.b15l7.b1", + "mb.c15l7.b1", + "mcs.c15l7.b1", + "mb.b15l7.b1", + "mcs.b15l7.b1", + "mco.a15l7.b1", + "mcd.a15l7.b1", + "mb.a15l7.b1", + "mcs.a15l7.b1", + "bpm.14l7.b1", + "mqt.14l7.b1", + "mq.14l7.b1", + "ms.14l7.b1", + "mcbh.14l7.b1", + "mb.c14l7.b1", + "mcs.c14l7.b1", + "mco.14l7.b1", + "mcd.14l7.b1", + "mb.b14l7.b1", + "mcs.b14l7.b1", + "mb.a14l7.b1", + "mcs.a14l7.b1", + "bpm.13l7.b1", + "mqt.13l7.b1", + "mq.13l7.b1", + "ms.13l7.b1", + "mcbv.13l7.b1", + "mco.b13l7.b1", + "mcd.b13l7.b1", + "mb.c13l7.b1", + "mcs.c13l7.b1", + "mb.b13l7.b1", + "mcs.b13l7.b1", + "mco.a13l7.b1", + "mcd.a13l7.b1", + "mb.a13l7.b1", + "mcs.a13l7.b1", + "bpm.12l7.b1", + "mqt.12l7.b1", + "mq.12l7.b1", + "ms.12l7.b1", + "mcbh.12l7.b1", + "mb.c12l7.b1", + "mcs.c12l7.b1", + "mco.12l7.b1", + "mcd.12l7.b1", + "mb.b12l7.b1", + "mcs.b12l7.b1", + "mb.a12l7.b1", + "mcs.a12l7.b1", + "bpm.11l7.b1", + "mq.11l7.b1", + "mqtli.11l7.b1", + "ms.11l7.b1", + "mcbv.11l7.b1", + "leir.11l7.b1", + "mco.11l7.b1", + "mcd.11l7.b1", + "mb.b11l7.b1", + "mcs.b11l7.b1", + "mb.a11l7.b1", + "mcs.a11l7.b1", + "bpm.10l7.b1", + "mq.10l7.b1", + "mqtli.10l7.b1", + "mcbch.10l7.b1", + "mco.10l7.b1", + "mcd.10l7.b1", + "mb.b10l7.b1", + "mcs.b10l7.b1", + "mb.a10l7.b1", + "mcs.a10l7.b1", + "bpm.9l7.b1", + "mq.9l7.b1", + "mqtli.b9l7.b1", + "mqtli.a9l7.b1", + "mcbcv.9l7.b1", + "mco.9l7.b1", + "mcd.9l7.b1", + "mb.b9l7.b1", + "mcs.b9l7.b1", + "mb.a9l7.b1", + "mcs.a9l7.b1", + "bpm.8l7.b1", + "mq.8l7.b1", + "mqtli.8l7.b1", + "mcbch.8l7.b1", + "mco.8l7.b1", + "mcd.8l7.b1", + "mb.b8l7.b1", + "mcs.b8l7.b1", + "mb.a8l7.b1", + "mcs.a8l7.b1", + "bpm.7l7.b1", + "mq.7l7.b1", + "mqtli.7l7.b1", + "mcbcv.7l7.b1", + "dfbam.7l7.b1", + "bpm.6l7.b1", + "mqtlh.f6l7.b1", + "mqtlh.e6l7.b1", + "mqtlh.d6l7.b1", + "mqtlh.c6l7.b1", + "mqtlh.b6l7.b1", + "mqtlh.a6l7.b1", + "mcbch.6l7.b1", + "bpmwc.6l7.b1", + "mbw.d6l7.b1", + "mbw.c6l7.b1", + "tcp.d6l7.b1", + "tcp.c6l7.b1", + "tcp.b6l7.b1", + "tcapa.6l7.b1", + "mbw.b6l7.b1", + "tcapb.6l7.b1", + "mbw.a6l7.b1", + "tcsg.a6l7.b1", + "tcapc.6l7.b1", + "bpmwe.5l7.b1", + "mqwa.d5l7.b1", + "mqwa.c5l7.b1", + "mqwa.b5l7.b1", + "mqwa.a5l7.b1", + "bpmw.5l7.b1", + "mcbwv.5l7.b1", + "tcsg.b5l7.b1", + "tcsg.a5l7.b1", + "bpmwe.4l7.b1", + "mqwa.e4l7.b1", + "mqwa.d4l7.b1", + "tcsg.d4l7.b1", + "mqwa.c4l7.b1", + "mqwb.4l7.b1", + "mqwa.b4l7.b1", + "mqwa.a4l7.b1", + "bpmw.4l7.b1", + "mcbwh.4l7.b1", + "tcsg.a4l7.b1", + "tcsg.a4r7.b1", + "mcbwv.4r7.b1", + "bpmw.4r7.b1", + "mqwa.a4r7.b1", + "mqwa.b4r7.b1", + "mqwb.4r7.b1", + "mqwa.c4r7.b1", + "mqwa.d4r7.b1", + "mqwa.e4r7.b1", + "bpmwe.4r7.b1", + "tcsg.b5r7.b1", + "tcsg.d5r7.b1", + "mcbwh.5r7.b1", + "bpmw.5r7.b1", + "mqwa.a5r7.b1", + "mqwa.b5r7.b1", + "mqwa.c5r7.b1", + "mqwa.d5r7.b1", + "bpmwe.5r7.b1", + "tcla.a6r7.b1", + "mbw.a6r7.b1", + "mbw.b6r7.b1", + "tcla.b6r7.b1", + "mbw.c6r7.b1", + "mbw.d6r7.b1", + "tcla.c6r7.b1", + "tcla.d6r7.b1", + "bpmr.6r7.b1", + "mqtlh.a6r7.b1", + "mqtlh.b6r7.b1", + "mqtlh.c6r7.b1", + "mqtlh.d6r7.b1", + "mqtlh.e6r7.b1", + "mqtlh.f6r7.b1", + "mcbcv.6r7.b1", + "tcla.a7r7.b1", + "dfban.7r7.b1", + "bpm_a.7r7.b1", + "mq.7r7.b1", + "mqtli.7r7.b1", + "mcbch.7r7.b1", + "mco.8r7.b1", + "mcd.8r7.b1", + "mb.a8r7.b1", + "mcs.a8r7.b1", + "mb.b8r7.b1", + "mcs.b8r7.b1", + "bpm.8r7.b1", + "mq.8r7.b1", + "mqtli.8r7.b1", + "mcbcv.8r7.b1", + "mco.9r7.b1", + "mcd.9r7.b1", + "mb.a9r7.b1", + "mcs.a9r7.b1", + "mb.b9r7.b1", + "mcs.b9r7.b1", + "bpm.9r7.b1", + "mq.9r7.b1", + "mqtli.a9r7.b1", + "mqtli.b9r7.b1", + "mcbch.9r7.b1", + "mco.10r7.b1", + "mcd.10r7.b1", + "mb.a10r7.b1", + "mcs.a10r7.b1", + "mb.b10r7.b1", + "mcs.b10r7.b1", + "bpm.10r7.b1", + "mq.10r7.b1", + "mqtli.10r7.b1", + "mcbcv.10r7.b1", + "mco.11r7.b1", + "mcd.11r7.b1", + "mb.a11r7.b1", + "mcs.a11r7.b1", + "mb.b11r7.b1", + "mcs.b11r7.b1", + "ledr.11r7.b1", + "bpm.11r7.b1", + "mq.11r7.b1", + "mqtli.11r7.b1", + "ms.11r7.b1", + "mcbh.11r7.b1", + "mco.a12r7.b1", + "mcd.a12r7.b1", + "mb.a12r7.b1", + "mcs.a12r7.b1", + "mb.b12r7.b1", + "mcs.b12r7.b1", + "mco.b12r7.b1", + "mcd.b12r7.b1", + "mb.c12r7.b1", + "mcs.c12r7.b1", + "bpm.12r7.b1", + "mqt.12r7.b1", + "mq.12r7.b1", + "ms.12r7.b1", + "mcbv.12r7.b1", + "mb.a13r7.b1", + "mcs.a13r7.b1", + "mco.13r7.b1", + "mcd.13r7.b1", + "mb.b13r7.b1", + "mcs.b13r7.b1", + "mb.c13r7.b1", + "mcs.c13r7.b1", + "bpm.13r7.b1", + "mqt.13r7.b1", + "mq.13r7.b1", + "ms.13r7.b1", + "mcbh.13r7.b1", + "mco.a14r7.b1", + "mcd.a14r7.b1", + "mb.a14r7.b1", + "mcs.a14r7.b1", + "mb.b14r7.b1", + "mcs.b14r7.b1", + "mco.b14r7.b1", + "mcd.b14r7.b1", + "mb.c14r7.b1", + "mcs.c14r7.b1", + "bpm.14r7.b1", + "mqt.14r7.b1", + "mq.14r7.b1", + "ms.14r7.b1", + "mcbv.14r7.b1", + "mb.a15r7.b1", + "mcs.a15r7.b1", + "mco.15r7.b1", + "mcd.15r7.b1", + "mb.b15r7.b1", + "mcs.b15r7.b1", + "mb.c15r7.b1", + "mcs.c15r7.b1", + "bpm.15r7.b1", + "mqt.15r7.b1", + "mq.15r7.b1", + "ms.15r7.b1", + "mcbh.15r7.b1", + "mco.a16r7.b1", + "mcd.a16r7.b1", + "mb.a16r7.b1", + "mcs.a16r7.b1", + "mb.b16r7.b1", + "mcs.b16r7.b1", + "mco.b16r7.b1", + "mcd.b16r7.b1", + "mb.c16r7.b1", + "mcs.c16r7.b1", + "bpm.16r7.b1", + "mqt.16r7.b1", + "mq.16r7.b1", + "ms.16r7.b1", + "mcbv.16r7.b1", + "mb.a17r7.b1", + "mcs.a17r7.b1", + "mco.17r7.b1", + "mcd.17r7.b1", + "mb.b17r7.b1", + "mcs.b17r7.b1", + "mb.c17r7.b1", + "mcs.c17r7.b1", + "bpm.17r7.b1", + "mqt.17r7.b1", + "mq.17r7.b1", + "ms.17r7.b1", + "mcbh.17r7.b1", + "mco.a18r7.b1", + "mcd.a18r7.b1", + "mb.a18r7.b1", + "mcs.a18r7.b1", + "mb.b18r7.b1", + "mcs.b18r7.b1", + "mco.b18r7.b1", + "mcd.b18r7.b1", + "mb.c18r7.b1", + "mcs.c18r7.b1", + "bpm.18r7.b1", + "mqt.18r7.b1", + "mq.18r7.b1", + "ms.18r7.b1", + "mcbv.18r7.b1", + "mb.a19r7.b1", + "mcs.a19r7.b1", + "mco.19r7.b1", + "mcd.19r7.b1", + "mb.b19r7.b1", + "mcs.b19r7.b1", + "mb.c19r7.b1", + "mcs.c19r7.b1", + "bpm.19r7.b1", + "mqt.19r7.b1", + "mq.19r7.b1", + "ms.19r7.b1", + "mcbh.19r7.b1", + "mco.a20r7.b1", + "mcd.a20r7.b1", + "mb.a20r7.b1", + "mcs.a20r7.b1", + "mb.b20r7.b1", + "mcs.b20r7.b1", + "mco.b20r7.b1", + "mcd.b20r7.b1", + "mb.c20r7.b1", + "mcs.c20r7.b1", + "bpm.20r7.b1", + "mqt.20r7.b1", + "mq.20r7.b1", + "ms.20r7.b1", + "mcbv.20r7.b1", + "mb.a21r7.b1", + "mcs.a21r7.b1", + "mco.21r7.b1", + "mcd.21r7.b1", + "mb.b21r7.b1", + "mcs.b21r7.b1", + "mb.c21r7.b1", + "mcs.c21r7.b1", + "bpm.21r7.b1", + "mqt.21r7.b1", + "mq.21r7.b1", + "ms.21r7.b1", + "mcbh.21r7.b1", + "mco.a22r7.b1", + "mcd.a22r7.b1", + "mb.a22r7.b1", + "mcs.a22r7.b1", + "mb.b22r7.b1", + "mcs.b22r7.b1", + "mco.b22r7.b1", + "mcd.b22r7.b1", + "mb.c22r7.b1", + "mcs.c22r7.b1", + "bpm.22r7.b1", + "mo.22r7.b1", + "mq.22r7.b1", + "ms.22r7.b1", + "mcbv.22r7.b1", + "mb.a23r7.b1", + "mcs.a23r7.b1", + "mco.23r7.b1", + "mcd.23r7.b1", + "mb.b23r7.b1", + "mcs.b23r7.b1", + "mb.c23r7.b1", + "mcs.c23r7.b1", + "bpm.23r7.b1", + "mqs.23r7.b1", 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+ "ms.12l8.b1", + "mcbv.12l8.b1", + "mb.c12l8.b1", + "mcs.c12l8.b1", + "mco.12l8.b1", + "mcd.12l8.b1", + "mb.b12l8.b1", + "mcs.b12l8.b1", + "mb.a12l8.b1", + "mcs.a12l8.b1", + "bpm.11l8.b1", + "mq.11l8.b1", + "mqtli.11l8.b1", + "ms.11l8.b1", + "mcbh.11l8.b1", + "lebr.11l8.b1", + "mco.11l8.b1", + "mcd.11l8.b1", + "mb.b11l8.b1", + "mcs.b11l8.b1", + "mb.a11l8.b1", + "mcs.a11l8.b1", + "bpm.10l8.b1", + "mqml.10l8.b1", + "mcbcv.10l8.b1", + "mco.10l8.b1", + "mcd.10l8.b1", + "mb.b10l8.b1", + "mcs.b10l8.b1", + "mb.a10l8.b1", + "mcs.a10l8.b1", + "bpm.9l8.b1", + "mqmc.9l8.b1", + "mqm.9l8.b1", + "mcbch.9l8.b1", + "mco.9l8.b1", + "mcd.9l8.b1", + "mb.b9l8.b1", + "mcs.b9l8.b1", + "mb.a9l8.b1", + "mcs.a9l8.b1", + "bpm.8l8.b1", + "mqml.8l8.b1", + "mcbcv.8l8.b1", + "mco.8l8.b1", + "mcd.8l8.b1", + "mb.b8l8.b1", + "mcs.b8l8.b1", + "mb.a8l8.b1", + "mcs.a8l8.b1", + "bpm.7l8.b1", + "mqm.b7l8.b1", + "mqm.a7l8.b1", + "mcbch.7l8.b1", + "dfbao.7l8.b1", + "mcbcv.6l8.b1", + "mqml.6l8.b1", + "mqm.6l8.b1", + "bpmr.6l8.b1", + "tclim.6l8.b1", + "mcbch.b5l8.b1", + "mcbcv.5l8.b1", + "mcbch.a5l8.b1", + "mqm.b5l8.b1", + "mqm.a5l8.b1", + "bpm.5l8.b1", + "bptx.5l8.b1", + "bpmyb.4l8.b1", + "mqy.b4l8.b1", + "mqy.a4l8.b1", + "mcbyv.b4l8.b1", + "mcbyh.4l8.b1", + "mcbyv.a4l8.b1", + "mbrc.4l8.b1", + "bptuh.a4l8.b1", + "tctph.4l8.b1", + "bptdh.a4l8.b1", + "bptuv.a4l8.b1", + "tctpv.4l8.b1", + "bptdv.a4l8.b1", + "bpmwb.4l8.b1", + "tclia.4l8", + "bpmsx.4l8.b1", + "mbx.4l8", + "dfbxg.3l8", + "mcosx.3l8", + "mcox.3l8", + "mcssx.3l8", + "mcbxh.3l8", + "mcbxv.3l8", + "mcsx.3l8", + "mctx.3l8", + "mqxa.3l8", + "mqsx.3l8", + "mqxb.b2l8", + "mcbxh.2l8", + "mcbxv.2l8", + "mqxb.a2l8", + "bpms.2l8.b1", + "mcbxh.1l8", + "mcbxv.1l8", + "mqxa.1l8", + "bpmsw.1l8.b1", + "bpmsw.1l8.b1_doros", + "mbxws.1l8", + "mbxwh.1l8", + "ip8", + "mblw.1r8", + "mbxws.1r8", + "bpmsw.1r8.b1", + "bpmsw.1r8.b1_doros", + "mqxa.1r8", + "mcbxh.1r8", + "mcbxv.1r8", + "bpms.2r8.b1", + "mqxb.a2r8", + "mcbxh.2r8", + "mcbxv.2r8", + "mqxb.b2r8", + 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+ "mcs.c18r8.b1", + "bpm.18r8.b1", + "mqt.18r8.b1", + "mq.18r8.b1", + "ms.18r8.b1", + "mcbh.18r8.b1", + "mb.a19r8.b1", + "mcs.a19r8.b1", + "mco.19r8.b1", + "mcd.19r8.b1", + "mb.b19r8.b1", + "mcs.b19r8.b1", + "mb.c19r8.b1", + "mcs.c19r8.b1", + "bpm.19r8.b1", + "mqt.19r8.b1", + "mq.19r8.b1", + "ms.19r8.b1", + "mcbv.19r8.b1", + "mco.a20r8.b1", + "mcd.a20r8.b1", + "mb.a20r8.b1", + "mcs.a20r8.b1", + "mb.b20r8.b1", + "mcs.b20r8.b1", + "mco.b20r8.b1", + "mcd.b20r8.b1", + "mb.c20r8.b1", + "mcs.c20r8.b1", + "bpm.20r8.b1", + "mqt.20r8.b1", + "mq.20r8.b1", + "ms.20r8.b1", + "mcbh.20r8.b1", + "mb.a21r8.b1", + "mcs.a21r8.b1", + "mco.21r8.b1", + "mcd.21r8.b1", + "mb.b21r8.b1", + "mcs.b21r8.b1", + "mb.c21r8.b1", + "mcs.c21r8.b1", + "bpm.21r8.b1", + "mqt.21r8.b1", + "mq.21r8.b1", + "ms.21r8.b1", + "mcbv.21r8.b1", + "mco.a22r8.b1", + "mcd.a22r8.b1", + "mb.a22r8.b1", + "mcs.a22r8.b1", + "mb.b22r8.b1", + "mcs.b22r8.b1", + "mco.b22r8.b1", + "mcd.b22r8.b1", + "mb.c22r8.b1", + "mcs.c22r8.b1", + "bpm.22r8.b1", + "mo.22r8.b1", + "mq.22r8.b1", + "ms.22r8.b1", + "mcbh.22r8.b1", + "mb.a23r8.b1", + "mcs.a23r8.b1", + "mco.23r8.b1", + "mcd.23r8.b1", + "mb.b23r8.b1", + "mcs.b23r8.b1", + "mb.c23r8.b1", + "mcs.c23r8.b1", + "bpm.23r8.b1", + "mqs.23r8.b1", + "mq.23r8.b1", + "ms.23r8.b1", + "mcbv.23r8.b1", + "mco.a24r8.b1", + "mcd.a24r8.b1", + "mb.a24r8.b1", + "mcs.a24r8.b1", + "mb.b24r8.b1", + "mcs.b24r8.b1", + "mco.b24r8.b1", + "mcd.b24r8.b1", + "mb.c24r8.b1", + "mcs.c24r8.b1", + "bpm.24r8.b1", + "mo.24r8.b1", + "mq.24r8.b1", + "ms.24r8.b1", + "mcbh.24r8.b1", + "mb.a25r8.b1", + "mcs.a25r8.b1", + "mco.25r8.b1", + "mcd.25r8.b1", + "mb.b25r8.b1", + "mcs.b25r8.b1", + "mb.c25r8.b1", + "mcs.c25r8.b1", + "bpm.25r8.b1", + "mo.25r8.b1", + "mq.25r8.b1", + "ms.25r8.b1", + "mcbv.25r8.b1", + "mco.a26r8.b1", + "mcd.a26r8.b1", + "mb.a26r8.b1", + "mcs.a26r8.b1", + "mb.b26r8.b1", + "mcs.b26r8.b1", + "mco.b26r8.b1", + "mcd.b26r8.b1", + "mb.c26r8.b1", + "mcs.c26r8.b1", + "bpm.26r8.b1", + "mo.26r8.b1", + 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+ "mcs.c17r1.b1", + "bpm.17r1.b1", + "mqt.17r1.b1", + "mq.17r1.b1", + "ms.17r1.b1", + "mcbh.17r1.b1", + "mco.a18r1.b1", + "mcd.a18r1.b1", + "mb.a18r1.b1", + "mcs.a18r1.b1", + "mb.b18r1.b1", + "mcs.b18r1.b1", + "mco.b18r1.b1", + "mcd.b18r1.b1", + "mb.c18r1.b1", + "mcs.c18r1.b1", + "bpm.18r1.b1", + "mqt.18r1.b1", + "mq.18r1.b1", + "ms.18r1.b1", + "mcbv.18r1.b1", + "mb.a19r1.b1", + "mcs.a19r1.b1", + "mco.19r1.b1", + "mcd.19r1.b1", + "mb.b19r1.b1", + "mcs.b19r1.b1", + "mb.c19r1.b1", + "mcs.c19r1.b1", + "bpm.19r1.b1", + "mqt.19r1.b1", + "mq.19r1.b1", + "ms.19r1.b1", + "mcbh.19r1.b1", + "mco.a20r1.b1", + "mcd.a20r1.b1", + "mb.a20r1.b1", + "mcs.a20r1.b1", + "mb.b20r1.b1", + "mcs.b20r1.b1", + "mco.b20r1.b1", + "mcd.b20r1.b1", + "mb.c20r1.b1", + "mcs.c20r1.b1", + "bpm.20r1.b1", + "mqt.20r1.b1", + "mq.20r1.b1", + "ms.20r1.b1", + "mcbv.20r1.b1", + "mb.a21r1.b1", + "mcs.a21r1.b1", + "mco.21r1.b1", + "mcd.21r1.b1", + "mb.b21r1.b1", + "mcs.b21r1.b1", + "mb.c21r1.b1", + "mcs.c21r1.b1", + "bpm.21r1.b1", + "mqt.21r1.b1", + "mq.21r1.b1", + "ms.21r1.b1", + "mcbh.21r1.b1", + "mco.a22r1.b1", + "mcd.a22r1.b1", + "mb.a22r1.b1", + "mcs.a22r1.b1", + "mb.b22r1.b1", + "mcs.b22r1.b1", + "mco.b22r1.b1", + "mcd.b22r1.b1", + "mb.c22r1.b1", + "mcs.c22r1.b1", + "bpm.22r1.b1", + "mo.22r1.b1", + "mq.22r1.b1", + "ms.22r1.b1", + "mcbv.22r1.b1", + "mb.a23r1.b1", + "mcs.a23r1.b1", + "mco.23r1.b1", + "mcd.23r1.b1", + "mb.b23r1.b1", + "mcs.b23r1.b1", + "mb.c23r1.b1", + "mcs.c23r1.b1", + "bpm.23r1.b1", + "mqs.23r1.b1", + "mq.23r1.b1", + "ms.23r1.b1", + "mcbh.23r1.b1", + "mco.a24r1.b1", + "mcd.a24r1.b1", + "mb.a24r1.b1", + "mcs.a24r1.b1", + "mb.b24r1.b1", + "mcs.b24r1.b1", + "mco.b24r1.b1", + "mcd.b24r1.b1", + "mb.c24r1.b1", + "mcs.c24r1.b1", + "bpm.24r1.b1", + "mo.24r1.b1", + "mq.24r1.b1", + "ms.24r1.b1", + "mcbv.24r1.b1", + "mb.a25r1.b1", + "mcs.a25r1.b1", + "mco.25r1.b1", + "mcd.25r1.b1", + "mb.b25r1.b1", + "mcs.b25r1.b1", + "mb.c25r1.b1", + "mcs.c25r1.b1", + "bpm.25r1.b1", + "mo.25r1.b1", + "mq.25r1.b1", + "ms.25r1.b1", + "mcbh.25r1.b1", + "mco.a26r1.b1", + "mcd.a26r1.b1", + "mb.a26r1.b1", + "mcs.a26r1.b1", + "mb.b26r1.b1", + "mcs.b26r1.b1", + "mco.b26r1.b1", + "mcd.b26r1.b1", + "mb.c26r1.b1", + "mcs.c26r1.b1", + "bpm.26r1.b1", + "mo.26r1.b1", + "mq.26r1.b1", + "ms.26r1.b1", + "mcbv.26r1.b1", + "mb.a27r1.b1", + "mcs.a27r1.b1", + "mco.27r1.b1", + "mcd.27r1.b1", + "mb.b27r1.b1", + "mcs.b27r1.b1", + "mb.c27r1.b1", + "mcs.c27r1.b1", + "bpm.27r1.b1", + "mqs.27r1.b1", + "mq.27r1.b1", + "ms.27r1.b1", + "mcbh.27r1.b1", + "mco.a28r1.b1", + "mcd.a28r1.b1", + "mb.a28r1.b1", + "mcs.a28r1.b1", + "mb.b28r1.b1", + "mcs.b28r1.b1", + "mco.b28r1.b1", + "mcd.b28r1.b1", + "mb.c28r1.b1", + "mcs.c28r1.b1", + "bpm.28r1.b1", + "mo.28r1.b1", + "mq.28r1.b1", + "ms.28r1.b1", + "mcbv.28r1.b1", + "mb.a29r1.b1", + "mcs.a29r1.b1", + "mco.29r1.b1", + "mcd.29r1.b1", + "mb.b29r1.b1", + "mcs.b29r1.b1", + "mb.c29r1.b1", + "mcs.c29r1.b1", + "bpm.29r1.b1", + "mo.29r1.b1", + "mq.29r1.b1", + "mss.29r1.b1", + 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"mcd.a34r1.b1", + "mb.a34r1.b1", + "mcs.a34r1.b1", + "mb.b34r1.b1", + "mcs.b34r1.b1", + "mco.b34r1.b1", + "mcd.b34r1.b1", + "mb.c34r1.b1", + "mcs.c34r1.b1", + "bpm.34r1.b1", + "mo.34r1.b1", + "mq.34r1.b1", + "ms.34l2.b1", + "mcbv.34l2.b1", + "mb.c34l2.b1", + "mcs.c34l2.b1", + "mco.34l2.b1", + "mcd.34l2.b1", + "mb.b34l2.b1", + "mcs.b34l2.b1", + "mb.a34l2.b1", + "mcs.a34l2.b1", + "bpm.33l2.b1", + "mo.33l2.b1", + "mq.33l2.b1", + "mss.33l2.b1", + "mcbh.33l2.b1", + "mco.b33l2.b1", + "mcd.b33l2.b1", + "mb.c33l2.b1", + "mcs.c33l2.b1", + "mb.b33l2.b1", + "mcs.b33l2.b1", + "mco.a33l2.b1", + "mcd.a33l2.b1", + "mb.a33l2.b1", + "mcs.a33l2.b1", + "bpm.32l2.b1", + "mo.32l2.b1", + "mq.32l2.b1", + "ms.32l2.b1", + "mcbv.32l2.b1", + "mb.c32l2.b1", + "mcs.c32l2.b1", + "mco.32l2.b1", + "mcd.32l2.b1", + "mb.b32l2.b1", + "mcs.b32l2.b1", + "mb.a32l2.b1", + "mcs.a32l2.b1", + "bpm.31l2.b1", + "mo.31l2.b1", + "mq.31l2.b1", + "ms.31l2.b1", + "mcbh.31l2.b1", + "mco.b31l2.b1", + "mcd.b31l2.b1", + "mb.c31l2.b1", + "mcs.c31l2.b1", + "mb.b31l2.b1", + "mcs.b31l2.b1", + "mco.a31l2.b1", + "mcd.a31l2.b1", + "mb.a31l2.b1", + "mcs.a31l2.b1", + "bpm.30l2.b1", + "mo.30l2.b1", + "mq.30l2.b1", + "ms.30l2.b1", + "mcbv.30l2.b1", + "mb.c30l2.b1", + "mcs.c30l2.b1", + "mco.30l2.b1", + "mcd.30l2.b1", + "mb.b30l2.b1", + "mcs.b30l2.b1", + "mb.a30l2.b1", + "mcs.a30l2.b1", + "bpm.29l2.b1", + "mo.29l2.b1", + "mq.29l2.b1", + "mss.29l2.b1", + "mcbh.29l2.b1", + "mco.b29l2.b1", + "mcd.b29l2.b1", + "mb.c29l2.b1", + "mcs.c29l2.b1", + "mb.b29l2.b1", + "mcs.b29l2.b1", + "mco.a29l2.b1", + "mcd.a29l2.b1", + "mb.a29l2.b1", + "mcs.a29l2.b1", + "bpm.28l2.b1", + "mo.28l2.b1", + "mq.28l2.b1", + "ms.28l2.b1", + "mcbv.28l2.b1", + "mb.c28l2.b1", + "mcs.c28l2.b1", + "mco.28l2.b1", + "mcd.28l2.b1", + "mb.b28l2.b1", + "mcs.b28l2.b1", + "mb.a28l2.b1", + "mcs.a28l2.b1", + "bpm.27l2.b1", + "mqs.27l2.b1", + "mq.27l2.b1", + "ms.27l2.b1", + "mcbh.27l2.b1", + "mco.b27l2.b1", + "mcd.b27l2.b1", + "mb.c27l2.b1", + "mcs.c27l2.b1", + "mb.b27l2.b1", + "mcs.b27l2.b1", + "mco.a27l2.b1", + "mcd.a27l2.b1", + "mb.a27l2.b1", + "mcs.a27l2.b1", + "bpm.26l2.b1", + "mo.26l2.b1", + "mq.26l2.b1", + "ms.26l2.b1", + "mcbv.26l2.b1", + "mb.c26l2.b1", + "mcs.c26l2.b1", + "mco.26l2.b1", + "mcd.26l2.b1", + "mb.b26l2.b1", + "mcs.b26l2.b1", + "mb.a26l2.b1", + "mcs.a26l2.b1", + "bpm.25l2.b1", + "mo.25l2.b1", + "mq.25l2.b1", + "ms.25l2.b1", + "mcbh.25l2.b1", + "mco.b25l2.b1", + "mcd.b25l2.b1", + "mb.c25l2.b1", + "mcs.c25l2.b1", + "mb.b25l2.b1", + "mcs.b25l2.b1", + "mco.a25l2.b1", + "mcd.a25l2.b1", + "mb.a25l2.b1", + "mcs.a25l2.b1", + "bpm.24l2.b1", + "mo.24l2.b1", + "mq.24l2.b1", + "ms.24l2.b1", + "mcbv.24l2.b1", + "mb.c24l2.b1", + "mcs.c24l2.b1", + "mco.24l2.b1", + "mcd.24l2.b1", + "mb.b24l2.b1", + "mcs.b24l2.b1", + "mb.a24l2.b1", + "mcs.a24l2.b1", + "bpm.23l2.b1", + "mqs.23l2.b1", + "mq.23l2.b1", + "ms.23l2.b1", + "mcbh.23l2.b1", + "mco.b23l2.b1", + "mcd.b23l2.b1", + "mb.c23l2.b1", + "mcs.c23l2.b1", + "mb.b23l2.b1", + "mcs.b23l2.b1", + "mco.a23l2.b1", + "mcd.a23l2.b1", + "mb.a23l2.b1", + "mcs.a23l2.b1", + "bpm.22l2.b1", + "mo.22l2.b1", + "mq.22l2.b1", + "ms.22l2.b1", + "mcbv.22l2.b1", + "mb.c22l2.b1", + "mcs.c22l2.b1", + "mco.22l2.b1", + "mcd.22l2.b1", + "mb.b22l2.b1", + "mcs.b22l2.b1", + "mb.a22l2.b1", + "mcs.a22l2.b1", + "bpm.21l2.b1", + "mqt.21l2.b1", + "mq.21l2.b1", + "ms.21l2.b1", + "mcbh.21l2.b1", + "mco.b21l2.b1", + "mcd.b21l2.b1", + "mb.c21l2.b1", + "mcs.c21l2.b1", + "mb.b21l2.b1", + "mcs.b21l2.b1", + "mco.a21l2.b1", + "mcd.a21l2.b1", + "mb.a21l2.b1", + "mcs.a21l2.b1", + "bpm.20l2.b1", + "mqt.20l2.b1", + "mq.20l2.b1", + "ms.20l2.b1", + "mcbv.20l2.b1", + "mb.c20l2.b1", + "mcs.c20l2.b1", + "mco.20l2.b1", + "mcd.20l2.b1", + "mb.b20l2.b1", + "mcs.b20l2.b1", + "mb.a20l2.b1", + "mcs.a20l2.b1", + "bpm.19l2.b1", + "mqt.19l2.b1", + "mq.19l2.b1", + "ms.19l2.b1", + "mcbh.19l2.b1", + "mco.b19l2.b1", + "mcd.b19l2.b1", + "mb.c19l2.b1", + "mcs.c19l2.b1", + "mb.b19l2.b1", + "mcs.b19l2.b1", + "mco.a19l2.b1", + "mcd.a19l2.b1", + "mb.a19l2.b1", + "mcs.a19l2.b1", + "bpm.18l2.b1", + "mqt.18l2.b1", + "mq.18l2.b1", + "ms.18l2.b1", + "mcbv.18l2.b1", + "mb.c18l2.b1", + "mcs.c18l2.b1", + "mco.18l2.b1", + "mcd.18l2.b1", + "mb.b18l2.b1", + "mcs.b18l2.b1", + "mb.a18l2.b1", + "mcs.a18l2.b1", + "bpm.17l2.b1", + "mqt.17l2.b1", + "mq.17l2.b1", + "ms.17l2.b1", + "mcbh.17l2.b1", + "mco.b17l2.b1", + "mcd.b17l2.b1", + "mb.c17l2.b1", + "mcs.c17l2.b1", + "mb.b17l2.b1", + "mcs.b17l2.b1", + "mco.a17l2.b1", + "mcd.a17l2.b1", + "mb.a17l2.b1", + "mcs.a17l2.b1", + "bpm.16l2.b1", + "mqt.16l2.b1", + "mq.16l2.b1", + "ms.16l2.b1", + "mcbv.16l2.b1", + "mb.c16l2.b1", + "mcs.c16l2.b1", + "mco.16l2.b1", + "mcd.16l2.b1", + "mb.b16l2.b1", + "mcs.b16l2.b1", + "mb.a16l2.b1", + "mcs.a16l2.b1", + "bpm.15l2.b1", + "mqt.15l2.b1", + "mq.15l2.b1", + "ms.15l2.b1", + "mcbh.15l2.b1", + "mco.b15l2.b1", + "mcd.b15l2.b1", + "mb.c15l2.b1", + "mcs.c15l2.b1", + "mb.b15l2.b1", + "mcs.b15l2.b1", + "mco.a15l2.b1", + "mcd.a15l2.b1", + "mb.a15l2.b1", + "mcs.a15l2.b1", + "bpm.14l2.b1", + "mqt.14l2.b1", + "mq.14l2.b1", + "ms.14l2.b1", + "mcbv.14l2.b1", + "mb.c14l2.b1", + "mcs.c14l2.b1", + "mco.14l2.b1", + "mcd.14l2.b1", + "mb.b14l2.b1", + "mcs.b14l2.b1", + "mb.a14l2.b1", + "mcs.a14l2.b1", + "bpm.13l2.b1", + "mqt.13l2.b1", + "mq.13l2.b1", + "ms.13l2.b1", + "mcbh.13l2.b1", + "mco.b13l2.b1", + "mcd.b13l2.b1", + "mb.c13l2.b1", + "mcs.c13l2.b1", + "mb.b13l2.b1", + "mcs.b13l2.b1", + "mco.a13l2.b1", + "mcd.a13l2.b1", + "mb.a13l2.b1", + "mcs.a13l2.b1", + "bpm.12l2.b1", + "mqt.12l2.b1", + "mq.12l2.b1", + "ms.12l2.b1", + "mcbv.12l2.b1", + "mb.c12l2.b1", + "mcs.c12l2.b1", + "mco.12l2.b1", + "mcd.12l2.b1", + "mb.b12l2.b1", + "mcs.b12l2.b1", + "mb.a12l2.b1", + "mcs.a12l2.b1", + "bpm.11l2.b1", + "mq.11l2.b1", + "mqtli.11l2.b1", + "ms.11l2.b1", + "mcbh.11l2.b1", + "mco.11l2.b1", + "mcd.11l2.b1", + "mb.b11l2.b1", + "mcs.b11l2.b1", + "mb.a11l2.b1", + "mcs.a11l2.b1", + "bpm.10l2.b1", + "mqml.10l2.b1", + "mcbcv.10l2.b1", + "mco.10l2.b1", + "mcd.10l2.b1", + "mb.b10l2.b1", + "mcs.b10l2.b1", + "mb.a10l2.b1", + "mcs.a10l2.b1", + "bpm.9l2.b1", + "mqmc.9l2.b1", + "mqm.9l2.b1", + "mcbch.9l2.b1", + "mco.9l2.b1", + "mcd.9l2.b1", + "mb.b9l2.b1", + "mcs.b9l2.b1", + "mb.a9l2.b1", + "mcs.a9l2.b1", + "bpm.8l2.b1", + "mqml.8l2.b1", + "mcbcv.8l2.b1", + "mco.8l2.b1", + "mcd.8l2.b1", + "mb.b8l2.b1", + "mcs.b8l2.b1", + "mb.a8l2.b1", + "mcs.a8l2.b1", + "bpm.7l2.b1", + "mqm.b7l2.b1", + "mqm.a7l2.b1", + "mcbch.7l2.b1", + "dfbac.7l2.b1", + "mcbcv.6l2.b1", + "mqml.6l2.b1", + "mqm.6l2.b1", + "bpmr.6l2.b1", + "msib.c6l2.b1", + "msib.b6l2.b1", + "msib.a6l2.b1", + "msia.b6l2.b1", + "msia.a6l2.b1", + "btvss.6l2.b1", + "mcbyh.b5l2.b1", + "mcbyv.5l2.b1", + "mcbyh.a5l2.b1", + "mqy.b5l2.b1", + "mqy.a5l2.b1", + "bpmyb.5l2.b1", + "btvsi.c5l2.b1", + "mki.d5l2.b1", + "mki.c5l2.b1", + "mki.b5l2.b1", + "mki.a5l2.b1", + "bptx.5l2.b1", + "btvsi.a5l2.b1", + "bpmyb.4l2.b1", + "mqy.b4l2.b1", + "mqy.a4l2.b1", + "mcbyv.b4l2.b1", + "mcbyh.4l2.b1", + "mcbyv.a4l2.b1", + "mbrc.4l2.b1", + "bpmwi.4l2.b1", + "bptuh.a4l2.b1", + "tctph.4l2.b1", + "bptdh.a4l2.b1", + "bptuv.a4l2.b1", + "tctpv.4l2.b1", + "bptdv.a4l2.b1", + "x2zdc.4l2", + "btvst.a4l2", + "tcdd.4l2", + "bpmsx.4l2.b1", + "mbx.4l2", + "dfbxc.3l2", + "mcosx.3l2", + "mcox.3l2", + "mcssx.3l2", + "mcbxh.3l2", + "mcbxv.3l2", + "mcsx.3l2", + "mctx.3l2", + "mqxa.3l2", + "mqsx.3l2", + "mqxb.b2l2", + "mcbxh.2l2", + "mcbxv.2l2", + "mqxb.a2l2", + "bpms.2l2.b1", + "mcbxh.1l2", + "mcbxv.1l2", + "mqxa.1l2", + "bpmsw.1l2.b1", + "bpmsw.1l2.b1_doros", + "mbxwt.1l2", + "mbwmd.1l2", + "ip2", + "mbaw.1r2", + "mbxwt.1r2", + "bpmsw.1r2.b1", + "bpmsw.1r2.b1_doros", + "mqxa.1r2", + "mcbxh.1r2", + "mcbxv.1r2", + "bpms.2r2.b1", + "mqxb.a2r2", + "mcbxh.2r2", + "mcbxv.2r2", + "mqxb.b2r2", + "mqsx.3r2", + "mqxa.3r2", + "mcbxh.3r2", + "mcbxv.3r2", + "mcsx.3r2", + "mctx.3r2", + "mcosx.3r2", + "mcox.3r2", + "mcssx.3r2", + "dfbxd.3r2", + "mbx.4r2", + "bpmsx.4r2.b1", + "tclia.4r2", + "x2zdc.4r2", + "bpmwb.4r2.b1", + "mbrc.4r2.b1", + "mcbyh.a4r2.b1", + "mcbyv.4r2.b1", + "mcbyh.b4r2.b1", + "mqy.a4r2.b1", + "mqy.b4r2.b1", + "bpmyb.4r2.b1", + "mcbcv.a5r2.b1", + "mcbch.5r2.b1", + "mcbcv.b5r2.b1", + "mqm.a5r2.b1", + "mqm.b5r2.b1", + "bpmr.5r2.b1", + "tclib.6r2.b1", + "tclim.6r2.b1", + "mcbch.6r2.b1", + "mqml.6r2.b1", + "mqm.6r2.b1", + "bpm.6r2.b1", + "dfbad.7r2.b1", + "bpm_a.7r2.b1", + "mqm.a7r2.b1", + "mqm.b7r2.b1", + "mcbcv.7r2.b1", + "mco.8r2.b1", + "mcd.8r2.b1", + "mb.a8r2.b1", + "mcs.a8r2.b1", + "mb.b8r2.b1", + "mcs.b8r2.b1", + "bpm.8r2.b1", + "mqml.8r2.b1", + "mcbch.8r2.b1", + "mco.9r2.b1", + "mcd.9r2.b1", + "mb.a9r2.b1", + "mcs.a9r2.b1", + "mb.b9r2.b1", + "mcs.b9r2.b1", + "bpm.9r2.b1", + "mqmc.9r2.b1", + "mqm.9r2.b1", + "mcbcv.9r2.b1", + "mco.10r2.b1", + "mcd.10r2.b1", + "mb.a10r2.b1", + "mcs.a10r2.b1", + "mb.b10r2.b1", + "mcs.b10r2.b1", + "bpm.10r2.b1", + "mqml.10r2.b1", + "mcbch.10r2.b1", + "mco.11r2.b1", + "mcd.11r2.b1", + "mb.a11r2.b1", + "mcs.a11r2.b1", + "mb.b11r2.b1", + "mcs.b11r2.b1", + "bpm.11r2.b1", + "mq.11r2.b1", + "mqtli.11r2.b1", + "ms.11r2.b1", + "mcbv.11r2.b1", + "mco.a12r2.b1", + "mcd.a12r2.b1", + "mb.a12r2.b1", + "mcs.a12r2.b1", + "mb.b12r2.b1", + "mcs.b12r2.b1", + "mco.b12r2.b1", + "mcd.b12r2.b1", + "mb.c12r2.b1", + "mcs.c12r2.b1", + "bpm.12r2.b1", + "mqt.12r2.b1", + "mq.12r2.b1", + "ms.12r2.b1", + "mcbh.12r2.b1", + "mb.a13r2.b1", + "mcs.a13r2.b1", + "mco.13r2.b1", + "mcd.13r2.b1", + "mb.b13r2.b1", + "mcs.b13r2.b1", + "mb.c13r2.b1", + "mcs.c13r2.b1", + "bpm.13r2.b1", + "mqt.13r2.b1", + "mq.13r2.b1", + "ms.13r2.b1", + "mcbv.13r2.b1", + "mco.a14r2.b1", + "mcd.a14r2.b1", + "mb.a14r2.b1", + "mcs.a14r2.b1", + "mb.b14r2.b1", + "mcs.b14r2.b1", + "mco.b14r2.b1", + "mcd.b14r2.b1", + "mb.c14r2.b1", + "mcs.c14r2.b1", + "bpm.14r2.b1", + "mqt.14r2.b1", + "mq.14r2.b1", + "ms.14r2.b1", + "mcbh.14r2.b1", + "mb.a15r2.b1", + "mcs.a15r2.b1", + "mco.15r2.b1", + "mcd.15r2.b1", + "mb.b15r2.b1", + "mcs.b15r2.b1", + "mb.c15r2.b1", + "mcs.c15r2.b1", + "bpm.15r2.b1", + "mqt.15r2.b1", + "mq.15r2.b1", + "ms.15r2.b1", + "mcbv.15r2.b1", + "mco.a16r2.b1", + "mcd.a16r2.b1", + "mb.a16r2.b1", + "mcs.a16r2.b1", + "mb.b16r2.b1", + "mcs.b16r2.b1", + "mco.b16r2.b1", + "mcd.b16r2.b1", + "mb.c16r2.b1", + "mcs.c16r2.b1", + "bpm.16r2.b1", + "mqt.16r2.b1", + "mq.16r2.b1", + "ms.16r2.b1", + "mcbh.16r2.b1", + "mb.a17r2.b1", + "mcs.a17r2.b1", + "mco.17r2.b1", + "mcd.17r2.b1", + "mb.b17r2.b1", + "mcs.b17r2.b1", + "mb.c17r2.b1", + "mcs.c17r2.b1", + "bpm.17r2.b1", + "mqt.17r2.b1", + "mq.17r2.b1", + "ms.17r2.b1", + "mcbv.17r2.b1", + "mco.a18r2.b1", + "mcd.a18r2.b1", + "mb.a18r2.b1", + "mcs.a18r2.b1", + "mb.b18r2.b1", + "mcs.b18r2.b1", + "mco.b18r2.b1", + "mcd.b18r2.b1", + "mb.c18r2.b1", + "mcs.c18r2.b1", + "bpm.18r2.b1", + "mqt.18r2.b1", + "mq.18r2.b1", + "ms.18r2.b1", + "mcbh.18r2.b1", + "mb.a19r2.b1", + "mcs.a19r2.b1", + "mco.19r2.b1", + "mcd.19r2.b1", + "mb.b19r2.b1", + "mcs.b19r2.b1", + "mb.c19r2.b1", + "mcs.c19r2.b1", + "bpm.19r2.b1", + "mqt.19r2.b1", + "mq.19r2.b1", + "ms.19r2.b1", + "mcbv.19r2.b1", + "mco.a20r2.b1", + "mcd.a20r2.b1", + "mb.a20r2.b1", + "mcs.a20r2.b1", + "mb.b20r2.b1", + "mcs.b20r2.b1", + "mco.b20r2.b1", + "mcd.b20r2.b1", + "mb.c20r2.b1", + "mcs.c20r2.b1", + "bpm.20r2.b1", + "mqt.20r2.b1", + "mq.20r2.b1", + "ms.20r2.b1", + "mcbh.20r2.b1", + "mb.a21r2.b1", + "mcs.a21r2.b1", + "mco.21r2.b1", + "mcd.21r2.b1", + "mb.b21r2.b1", + "mcs.b21r2.b1", + "mb.c21r2.b1", + "mcs.c21r2.b1", + "bpm.21r2.b1", + "mqt.21r2.b1", + "mq.21r2.b1", + "ms.21r2.b1", + "mcbv.21r2.b1", + "mco.a22r2.b1", + "mcd.a22r2.b1", + "mb.a22r2.b1", + "mcs.a22r2.b1", + "mb.b22r2.b1", + "mcs.b22r2.b1", + "mco.b22r2.b1", + "mcd.b22r2.b1", + "mb.c22r2.b1", + "mcs.c22r2.b1", + "bpm.22r2.b1", + "mo.22r2.b1", + "mq.22r2.b1", + "ms.22r2.b1", + "mcbh.22r2.b1", + "mb.a23r2.b1", + "mcs.a23r2.b1", + "mco.23r2.b1", + "mcd.23r2.b1", + "mb.b23r2.b1", + "mcs.b23r2.b1", + "mb.c23r2.b1", + "mcs.c23r2.b1", + "bpm.23r2.b1", + "mqs.23r2.b1", + "mq.23r2.b1", + "ms.23r2.b1", + "mcbv.23r2.b1", + "mco.a24r2.b1", + "mcd.a24r2.b1", + "mb.a24r2.b1", + "mcs.a24r2.b1", + "mb.b24r2.b1", + "mcs.b24r2.b1", + "mco.b24r2.b1", + "mcd.b24r2.b1", + "mb.c24r2.b1", + "mcs.c24r2.b1", + "bpm.24r2.b1", + "mo.24r2.b1", + "mq.24r2.b1", + "ms.24r2.b1", + "mcbh.24r2.b1", + "mb.a25r2.b1", + "mcs.a25r2.b1", + "mco.25r2.b1", + "mcd.25r2.b1", + "mb.b25r2.b1", + "mcs.b25r2.b1", + "mb.c25r2.b1", + "mcs.c25r2.b1", + "bpm.25r2.b1", + "mo.25r2.b1", + "mq.25r2.b1", + "ms.25r2.b1", + "mcbv.25r2.b1", + "mco.a26r2.b1", + "mcd.a26r2.b1", + "mb.a26r2.b1", + "mcs.a26r2.b1", + "mb.b26r2.b1", + "mcs.b26r2.b1", + "mco.b26r2.b1", + "mcd.b26r2.b1", + "mb.c26r2.b1", + "mcs.c26r2.b1", + "bpm.26r2.b1", + "mo.26r2.b1", + "mq.26r2.b1", + "ms.26r2.b1", + "mcbh.26r2.b1", + "mb.a27r2.b1", + "mcs.a27r2.b1", + "mco.27r2.b1", + "mcd.27r2.b1", + "mb.b27r2.b1", + "mcs.b27r2.b1", + "mb.c27r2.b1", + "mcs.c27r2.b1", + "bpm.27r2.b1", + "mqs.27r2.b1", + "mq.27r2.b1", + "ms.27r2.b1", + "mcbv.27r2.b1", + "mco.a28r2.b1", + "mcd.a28r2.b1", + "mb.a28r2.b1", + "mcs.a28r2.b1", + "mb.b28r2.b1", + "mcs.b28r2.b1", + "mco.b28r2.b1", + "mcd.b28r2.b1", + "mb.c28r2.b1", + "mcs.c28r2.b1", + "bpm.28r2.b1", + "mo.28r2.b1", + "mq.28r2.b1", + "ms.28r2.b1", + "mcbh.28r2.b1", + "mb.a29r2.b1", + "mcs.a29r2.b1", + "mco.29r2.b1", + "mcd.29r2.b1", + "mb.b29r2.b1", + "mcs.b29r2.b1", + "mb.c29r2.b1", + "mcs.c29r2.b1", + "bpm.29r2.b1", + "mo.29r2.b1", + "mq.29r2.b1", + "ms.29r2.b1", + "mcbv.29r2.b1", + "mco.a30r2.b1", + "mcd.a30r2.b1", + "mb.a30r2.b1", + "mcs.a30r2.b1", + "mb.b30r2.b1", + "mcs.b30r2.b1", + "mco.b30r2.b1", + "mcd.b30r2.b1", + "mb.c30r2.b1", + "mcs.c30r2.b1", + "bpm.30r2.b1", + "mo.30r2.b1", + "mq.30r2.b1", + "mss.30r2.b1", + "mcbh.30r2.b1", + "mb.a31r2.b1", + "mcs.a31r2.b1", + "mco.31r2.b1", + "mcd.31r2.b1", + "mb.b31r2.b1", + "mcs.b31r2.b1", + "mb.c31r2.b1", + "mcs.c31r2.b1", + "bpm.31r2.b1", + "mo.31r2.b1", + "mq.31r2.b1", + "ms.31r2.b1", + "mcbv.31r2.b1", + "mco.a32r2.b1", + "mcd.a32r2.b1", + "mb.a32r2.b1", + "mcs.a32r2.b1", + "mb.b32r2.b1", + "mcs.b32r2.b1", + "mco.b32r2.b1", + "mcd.b32r2.b1", + "mb.c32r2.b1", + "mcs.c32r2.b1", + "bpm.32r2.b1", + "mo.32r2.b1", + "mq.32r2.b1", + "ms.32r2.b1", + "mcbh.32r2.b1", + "mb.a33r2.b1", + "mcs.a33r2.b1", + "mco.33r2.b1", + "mcd.33r2.b1", + "mb.b33r2.b1", + "mcs.b33r2.b1", + "mb.c33r2.b1", + "mcs.c33r2.b1", + "bpm.33r2.b1", + "mo.33r2.b1", + "mq.33r2.b1", + "ms.33r2.b1", + "mcbv.33r2.b1", + "mco.a34r2.b1", + "mcd.a34r2.b1", + "mb.a34r2.b1", + "mcs.a34r2.b1", + "mb.b34r2.b1", + "mcs.b34r2.b1", + "mco.b34r2.b1", + "mcd.b34r2.b1", + "mb.c34r2.b1", + "mcs.c34r2.b1", + "bpm.34r2.b1", + "mo.34r2.b1", + "mq.34r2.b1", + "mss.34l3.b1", + "mcbh.34l3.b1", + "mb.c34l3.b1", + "mcs.c34l3.b1", + "mco.34l3.b1", + "mcd.34l3.b1", + "mb.b34l3.b1", + "mcs.b34l3.b1", + "mb.a34l3.b1", + "mcs.a34l3.b1", + "bpm.33l3.b1", + "mo.33l3.b1", + "mq.33l3.b1", + "ms.33l3.b1", + "mcbv.33l3.b1", + "mco.b33l3.b1", + "mcd.b33l3.b1", + "mb.c33l3.b1", + "mcs.c33l3.b1", + "mb.b33l3.b1", + "mcs.b33l3.b1", + "mco.a33l3.b1", + "mcd.a33l3.b1", + "mb.a33l3.b1", + "mcs.a33l3.b1", + "bpm.32l3.b1", + "mo.32l3.b1", + "mq.32l3.b1", + "mss.32l3.b1", + "mcbh.32l3.b1", + "mb.c32l3.b1", + "mcs.c32l3.b1", + "mco.32l3.b1", + "mcd.32l3.b1", + "mb.b32l3.b1", + "mcs.b32l3.b1", + "mb.a32l3.b1", + "mcs.a32l3.b1", + "bpm.31l3.b1", + "mo.31l3.b1", + "mq.31l3.b1", + "ms.31l3.b1", + "mcbv.31l3.b1", + "mco.b31l3.b1", + "mcd.b31l3.b1", + "mb.c31l3.b1", + "mcs.c31l3.b1", + "mb.b31l3.b1", + "mcs.b31l3.b1", + "mco.a31l3.b1", + "mcd.a31l3.b1", + "mb.a31l3.b1", + "mcs.a31l3.b1", + "bpm.30l3.b1", + "mo.30l3.b1", + "mq.30l3.b1", + "ms.30l3.b1", + "mcbh.30l3.b1", + "mb.c30l3.b1", + "mcs.c30l3.b1", + "mco.30l3.b1", + "mcd.30l3.b1", + "mb.b30l3.b1", + "mcs.b30l3.b1", + "mb.a30l3.b1", + "mcs.a30l3.b1", + "bpm.29l3.b1", + "mo.29l3.b1", + "mq.29l3.b1", + "ms.29l3.b1", + "mcbv.29l3.b1", + "mco.b29l3.b1", + "mcd.b29l3.b1", + "mb.c29l3.b1", + "mcs.c29l3.b1", + "mb.b29l3.b1", + "mcs.b29l3.b1", + "mco.a29l3.b1", + "mcd.a29l3.b1", + "mb.a29l3.b1", + "mcs.a29l3.b1", + "bpm.28l3.b1", + "mo.28l3.b1", + "mq.28l3.b1", + "mss.28l3.b1", + "mcbh.28l3.b1", + "mb.c28l3.b1", + "mcs.c28l3.b1", + "mco.28l3.b1", + "mcd.28l3.b1", + "mb.b28l3.b1", + "mcs.b28l3.b1", + "mb.a28l3.b1", + "mcs.a28l3.b1", + "bpm.27l3.b1", + "mqs.27l3.b1", + "mq.27l3.b1", + "ms.27l3.b1", + "mcbv.27l3.b1", + "mco.b27l3.b1", + "mcd.b27l3.b1", + "mb.c27l3.b1", + "mcs.c27l3.b1", + "mb.b27l3.b1", + "mcs.b27l3.b1", + "mco.a27l3.b1", + "mcd.a27l3.b1", + "mb.a27l3.b1", + "mcs.a27l3.b1", + "bpm.26l3.b1", + "mo.26l3.b1", + "mq.26l3.b1", + "ms.26l3.b1", + "mcbh.26l3.b1", + "mb.c26l3.b1", + "mcs.c26l3.b1", + "mco.26l3.b1", + "mcd.26l3.b1", + "mb.b26l3.b1", + "mcs.b26l3.b1", + "mb.a26l3.b1", + "mcs.a26l3.b1", + "bpm.25l3.b1", + "mo.25l3.b1", + "mq.25l3.b1", + "ms.25l3.b1", + "mcbv.25l3.b1", + "mco.b25l3.b1", + "mcd.b25l3.b1", + "mb.c25l3.b1", + "mcs.c25l3.b1", + "mb.b25l3.b1", + "mcs.b25l3.b1", + "mco.a25l3.b1", + "mcd.a25l3.b1", + "mb.a25l3.b1", + "mcs.a25l3.b1", + "bpm.24l3.b1", + "mo.24l3.b1", + "mq.24l3.b1", + "ms.24l3.b1", + "mcbh.24l3.b1", + "mb.c24l3.b1", + "mcs.c24l3.b1", + "mco.24l3.b1", + "mcd.24l3.b1", + "mb.b24l3.b1", + "mcs.b24l3.b1", + "mb.a24l3.b1", + "mcs.a24l3.b1", + "bpm.23l3.b1", + "mqs.23l3.b1", + "mq.23l3.b1", + "ms.23l3.b1", + "mcbv.23l3.b1", + "mco.b23l3.b1", + "mcd.b23l3.b1", + "mb.c23l3.b1", + "mcs.c23l3.b1", + "mb.b23l3.b1", + "mcs.b23l3.b1", + "mco.a23l3.b1", + "mcd.a23l3.b1", + "mb.a23l3.b1", + "mcs.a23l3.b1", + "bpm.22l3.b1", + "mo.22l3.b1", + "mq.22l3.b1", + "ms.22l3.b1", + "mcbh.22l3.b1", + "mb.c22l3.b1", + "mcs.c22l3.b1", + "mco.22l3.b1", + "mcd.22l3.b1", + "mb.b22l3.b1", + "mcs.b22l3.b1", + "mb.a22l3.b1", + "mcs.a22l3.b1", + "bpm.21l3.b1", + "mqt.21l3.b1", + "mq.21l3.b1", + "ms.21l3.b1", + "mcbv.21l3.b1", + "mco.b21l3.b1", + "mcd.b21l3.b1", + "mb.c21l3.b1", + "mcs.c21l3.b1", + "mb.b21l3.b1", + "mcs.b21l3.b1", + "mco.a21l3.b1", + "mcd.a21l3.b1", + "mb.a21l3.b1", + "mcs.a21l3.b1", + "bpm.20l3.b1", + "mqt.20l3.b1", + "mq.20l3.b1", + "ms.20l3.b1", + "mcbh.20l3.b1", + "mb.c20l3.b1", + "mcs.c20l3.b1", + "mco.20l3.b1", + "mcd.20l3.b1", + "mb.b20l3.b1", + "mcs.b20l3.b1", + "mb.a20l3.b1", + "mcs.a20l3.b1", + "bpm.19l3.b1", + "mqt.19l3.b1", + "mq.19l3.b1", + "ms.19l3.b1", + "mcbv.19l3.b1", + "mco.b19l3.b1", + "mcd.b19l3.b1", + "mb.c19l3.b1", + "mcs.c19l3.b1", + "mb.b19l3.b1", + "mcs.b19l3.b1", + "mco.a19l3.b1", + "mcd.a19l3.b1", + "mb.a19l3.b1", + "mcs.a19l3.b1", + "bpm.18l3.b1", + "mqt.18l3.b1", + "mq.18l3.b1", + "ms.18l3.b1", + "mcbh.18l3.b1", + "mb.c18l3.b1", + "mcs.c18l3.b1", + "mco.18l3.b1", + "mcd.18l3.b1", + "mb.b18l3.b1", + "mcs.b18l3.b1", + "mb.a18l3.b1", + "mcs.a18l3.b1", + "bpm.17l3.b1", + "mqt.17l3.b1", + "mq.17l3.b1", + "ms.17l3.b1", + "mcbv.17l3.b1", + "mco.b17l3.b1", + "mcd.b17l3.b1", + "mb.c17l3.b1", + "mcs.c17l3.b1", + "mb.b17l3.b1", + "mcs.b17l3.b1", + "mco.a17l3.b1", + "mcd.a17l3.b1", + "mb.a17l3.b1", + "mcs.a17l3.b1", + "bpm.16l3.b1", + "mqt.16l3.b1", + "mq.16l3.b1", + "ms.16l3.b1", + "mcbh.16l3.b1", + "mb.c16l3.b1", + "mcs.c16l3.b1", + "mco.16l3.b1", + "mcd.16l3.b1", + "mb.b16l3.b1", + "mcs.b16l3.b1", + "mb.a16l3.b1", + "mcs.a16l3.b1", + "bpm.15l3.b1", + "mqt.15l3.b1", + "mq.15l3.b1", + "ms.15l3.b1", + "mcbv.15l3.b1", + "mco.b15l3.b1", + "mcd.b15l3.b1", + "mb.c15l3.b1", + "mcs.c15l3.b1", + "mb.b15l3.b1", + "mcs.b15l3.b1", + "mco.a15l3.b1", + "mcd.a15l3.b1", + "mb.a15l3.b1", + "mcs.a15l3.b1", + "bpm.14l3.b1", + "mqt.14l3.b1", + "mq.14l3.b1", + "ms.14l3.b1", + "mcbh.14l3.b1", + "mb.c14l3.b1", + "mcs.c14l3.b1", + "mco.14l3.b1", + "mcd.14l3.b1", + "mb.b14l3.b1", + "mcs.b14l3.b1", + "mb.a14l3.b1", + "mcs.a14l3.b1", + "bpm.13l3.b1", + "mqt.13l3.b1", + "mq.13l3.b1", + "ms.13l3.b1", + "mcbv.13l3.b1", + "mco.b13l3.b1", + "mcd.b13l3.b1", + "mb.c13l3.b1", + "mcs.c13l3.b1", + "mb.b13l3.b1", + "mcs.b13l3.b1", + "mco.a13l3.b1", + "mcd.a13l3.b1", + "mb.a13l3.b1", + "mcs.a13l3.b1", + "bpm.12l3.b1", + "mqt.12l3.b1", + "mq.12l3.b1", + "ms.12l3.b1", + "mcbh.12l3.b1", + "mb.c12l3.b1", + "mcs.c12l3.b1", + "mco.12l3.b1", + "mcd.12l3.b1", + "mb.b12l3.b1", + "mcs.b12l3.b1", + "mb.a12l3.b1", + "mcs.a12l3.b1", + "bpm.11l3.b1", + "mq.11l3.b1", + "mqtli.11l3.b1", + "ms.11l3.b1", + "mcbv.11l3.b1", + "lefl.11l3.b1", + "mco.11l3.b1", + "mcd.11l3.b1", + "mb.b11l3.b1", + "mcs.b11l3.b1", + "mb.a11l3.b1", + "mcs.a11l3.b1", + "bpm.10l3.b1", + "mq.10l3.b1", + "mqtli.10l3.b1", + "mcbch.10l3.b1", + "mco.10l3.b1", + "mcd.10l3.b1", + "mb.b10l3.b1", + "mcs.b10l3.b1", + "mb.a10l3.b1", + "mcs.a10l3.b1", + "bpm.9l3.b1", + "mq.9l3.b1", + "mqtli.b9l3.b1", + "mqtli.a9l3.b1", + "mcbcv.9l3.b1", + "mco.9l3.b1", + "mcd.9l3.b1", + "mb.b9l3.b1", + "mcs.b9l3.b1", + "mb.a9l3.b1", + "mcs.a9l3.b1", + "bpm.8l3.b1", + "mq.8l3.b1", + "mqtli.8l3.b1", + "mcbch.8l3.b1", + "mco.8l3.b1", + "mcd.8l3.b1", + "mb.b8l3.b1", + "mcs.b8l3.b1", + "mb.a8l3.b1", + "mcs.a8l3.b1", + "bpm.7l3.b1", + "mq.7l3.b1", + "mqtli.7l3.b1", + "mcbcv.7l3.b1", + "dfbae.7l3.b1", + "btvm.7l3.b1", + "mcbch.6l3.b1", + "mqtlh.f6l3.b1", + "mqtlh.e6l3.b1", + "mqtlh.d6l3.b1", + "mqtlh.c6l3.b1", + "mqtlh.b6l3.b1", + "mqtlh.a6l3.b1", + "bpm.6l3.b1", + "mbw.f6l3.b1", + "mbw.e6l3.b1", + "mbw.d6l3.b1", + "tcp.6l3.b1", + "tcapa.6l3.b1", + "mbw.c6l3.b1", + "mbw.b6l3.b1", + "mbw.a6l3.b1", + "bpmwg.a5l3.b1", + "tcapd.5l3.b1", + "mqwa.e5l3.b1", + "mqwa.d5l3.b1", + "tcsg.5l3.b1", + "mqwa.c5l3.b1", + "mqwb.5l3.b1", + "mqwa.b5l3.b1", + "mqwa.a5l3.b1", + "bpmw.5l3.b1", + "mcbwv.5l3.b1", + "bpmwe.4l3.b1", + "mqwa.e4l3.b1", + "mqwa.d4l3.b1", + "mqwa.c4l3.b1", + "mqwb.4l3.b1", + "mqwa.b4l3.b1", + "mqwa.a4l3.b1", + "bpmw.4l3.b1", + "mcbwh.4l3.b1", + "mcbwv.4r3.b1", + "bpmw.4r3.b1", + "mqwa.a4r3.b1", + "mqwa.b4r3.b1", + "mqwb.4r3.b1", + "mqwa.c4r3.b1", + "mqwa.d4r3.b1", + "tcsg.4r3.b1", + "mqwa.e4r3.b1", + "bpmwe.4r3.b1", + "tcsg.a5r3.b1", + "tcsg.b5r3.b1", + "tcla.a5r3.b1", + "tcla.b5r3.b1", + "mcbwh.5r3.b1", + "bpmw.5r3.b1", + "mqwa.a5r3.b1", + "mqwa.b5r3.b1", + "mqwb.5r3.b1", + "mqwa.c5r3.b1", + "mqwa.d5r3.b1", + "mqwa.e5r3.b1", + "bpmwj.a5r3.b1", + "mbw.a6r3.b1", + "mbw.b6r3.b1", + "mbw.c6r3.b1", + "tcla.6r3.b1", + "mbw.d6r3.b1", + "mbw.e6r3.b1", + "mbw.f6r3.b1", + "bpmwc.6r3.b1", + "mcbcv.6r3.b1", + "mqtlh.a6r3.b1", + "mqtlh.b6r3.b1", + "mqtlh.c6r3.b1", + "mqtlh.d6r3.b1", + "mqtlh.e6r3.b1", + "mqtlh.f6r3.b1", + "bpmr.6r3.b1", + "tcla.7r3.b1", + "dfbaf.7r3.b1", + "bpm_a.7r3.b1", + "mq.7r3.b1", + "mqtli.7r3.b1", + "mcbch.7r3.b1", + "mco.8r3.b1", + "mcd.8r3.b1", + "mb.a8r3.b1", + "mcs.a8r3.b1", + "mb.b8r3.b1", + "mcs.b8r3.b1", + "bpm.8r3.b1", + "mq.8r3.b1", + "mqtli.8r3.b1", + "mcbcv.8r3.b1", + "mco.9r3.b1", + "mcd.9r3.b1", + "mb.a9r3.b1", + "mcs.a9r3.b1", + "mb.b9r3.b1", + "mcs.b9r3.b1", + "bpm.9r3.b1", + "mq.9r3.b1", + "mqtli.a9r3.b1", + "mqtli.b9r3.b1", + "mcbch.9r3.b1", + "mco.10r3.b1", + "mcd.10r3.b1", + "mb.a10r3.b1", + "mcs.a10r3.b1", + "mb.b10r3.b1", + "mcs.b10r3.b1", + "bpm.10r3.b1", + "mq.10r3.b1", + "mqtli.10r3.b1", + "mcbcv.10r3.b1", + "mco.11r3.b1", + "mcd.11r3.b1", + "mb.a11r3.b1", + "mcs.a11r3.b1", + "mb.b11r3.b1", + "mcs.b11r3.b1", + "leel.11r3.b1", + "bpm.11r3.b1", + "mq.11r3.b1", + "mqtli.11r3.b1", + "ms.11r3.b1", + "mcbh.11r3.b1", + "mco.a12r3.b1", + "mcd.a12r3.b1", + "mb.a12r3.b1", + "mcs.a12r3.b1", + "mb.b12r3.b1", + "mcs.b12r3.b1", + "mco.b12r3.b1", + "mcd.b12r3.b1", + "mb.c12r3.b1", + "mcs.c12r3.b1", + "bpm.12r3.b1", + "mqt.12r3.b1", + "mq.12r3.b1", + "ms.12r3.b1", + "mcbv.12r3.b1", + "mb.a13r3.b1", + "mcs.a13r3.b1", + "mco.13r3.b1", + "mcd.13r3.b1", + "mb.b13r3.b1", + "mcs.b13r3.b1", + "mb.c13r3.b1", + "mcs.c13r3.b1", + "bpm.13r3.b1", + "mqt.13r3.b1", + "mq.13r3.b1", + "ms.13r3.b1", + "mcbh.13r3.b1", + "mco.a14r3.b1", + "mcd.a14r3.b1", + "mb.a14r3.b1", + "mcs.a14r3.b1", + "mb.b14r3.b1", + "mcs.b14r3.b1", + "mco.b14r3.b1", + "mcd.b14r3.b1", + "mb.c14r3.b1", + "mcs.c14r3.b1", + "bpm.14r3.b1", + "mqt.14r3.b1", + "mq.14r3.b1", + "ms.14r3.b1", + "mcbv.14r3.b1", + "mb.a15r3.b1", + "mcs.a15r3.b1", + "mco.15r3.b1", + "mcd.15r3.b1", + "mb.b15r3.b1", + "mcs.b15r3.b1", + "mb.c15r3.b1", + "mcs.c15r3.b1", + "bpm.15r3.b1", + "mqt.15r3.b1", + "mq.15r3.b1", + "ms.15r3.b1", + "mcbh.15r3.b1", + "mco.a16r3.b1", + "mcd.a16r3.b1", + "mb.a16r3.b1", + "mcs.a16r3.b1", + "mb.b16r3.b1", + "mcs.b16r3.b1", + "mco.b16r3.b1", + "mcd.b16r3.b1", + "mb.c16r3.b1", + "mcs.c16r3.b1", + "bpm.16r3.b1", + "mqt.16r3.b1", + "mq.16r3.b1", + "ms.16r3.b1", + "mcbv.16r3.b1", + "mb.a17r3.b1", + "mcs.a17r3.b1", + "mco.17r3.b1", + "mcd.17r3.b1", + "mb.b17r3.b1", + "mcs.b17r3.b1", + "mb.c17r3.b1", + "mcs.c17r3.b1", + "bpm.17r3.b1", + "mqt.17r3.b1", + "mq.17r3.b1", + "ms.17r3.b1", + "mcbh.17r3.b1", + "mco.a18r3.b1", + "mcd.a18r3.b1", + "mb.a18r3.b1", + "mcs.a18r3.b1", + "mb.b18r3.b1", + "mcs.b18r3.b1", + "mco.b18r3.b1", + "mcd.b18r3.b1", + "mb.c18r3.b1", + "mcs.c18r3.b1", + "bpm.18r3.b1", + "mqt.18r3.b1", + "mq.18r3.b1", + "ms.18r3.b1", + "mcbv.18r3.b1", + "mb.a19r3.b1", + "mcs.a19r3.b1", + "mco.19r3.b1", + "mcd.19r3.b1", + "mb.b19r3.b1", + "mcs.b19r3.b1", + "mb.c19r3.b1", + "mcs.c19r3.b1", + "bpm.19r3.b1", + "mqt.19r3.b1", + "mq.19r3.b1", + "ms.19r3.b1", + "mcbh.19r3.b1", + "mco.a20r3.b1", + "mcd.a20r3.b1", + "mb.a20r3.b1", + "mcs.a20r3.b1", + "mb.b20r3.b1", + "mcs.b20r3.b1", + "mco.b20r3.b1", + "mcd.b20r3.b1", + "mb.c20r3.b1", + "mcs.c20r3.b1", + "bpm.20r3.b1", + "mqt.20r3.b1", + "mq.20r3.b1", + "ms.20r3.b1", + "mcbv.20r3.b1", + "mb.a21r3.b1", + "mcs.a21r3.b1", + "mco.21r3.b1", + "mcd.21r3.b1", + "mb.b21r3.b1", + "mcs.b21r3.b1", + "mb.c21r3.b1", + "mcs.c21r3.b1", + "bpm.21r3.b1", + "mqt.21r3.b1", + "mq.21r3.b1", + "ms.21r3.b1", + "mcbh.21r3.b1", + "mco.a22r3.b1", + "mcd.a22r3.b1", + "mb.a22r3.b1", + "mcs.a22r3.b1", + "mb.b22r3.b1", + "mcs.b22r3.b1", + "mco.b22r3.b1", + "mcd.b22r3.b1", + "mb.c22r3.b1", + "mcs.c22r3.b1", + "bpm.22r3.b1", + "mo.22r3.b1", + "mq.22r3.b1", + "ms.22r3.b1", + "mcbv.22r3.b1", + "mb.a23r3.b1", + "mcs.a23r3.b1", + "mco.23r3.b1", + "mcd.23r3.b1", + "mb.b23r3.b1", + "mcs.b23r3.b1", + "mb.c23r3.b1", + "mcs.c23r3.b1", + "bpm.23r3.b1", + "mqs.23r3.b1", + "mq.23r3.b1", + "ms.23r3.b1", + "mcbh.23r3.b1", + "mco.a24r3.b1", + "mcd.a24r3.b1", + "mb.a24r3.b1", + "mcs.a24r3.b1", + "mb.b24r3.b1", + "mcs.b24r3.b1", + "mco.b24r3.b1", + "mcd.b24r3.b1", + "mb.c24r3.b1", + "mcs.c24r3.b1", + "bpm.24r3.b1", + "mo.24r3.b1", + "mq.24r3.b1", + "ms.24r3.b1", + "mcbv.24r3.b1", + "mb.a25r3.b1", + "mcs.a25r3.b1", + "mco.25r3.b1", + "mcd.25r3.b1", + "mb.b25r3.b1", + "mcs.b25r3.b1", + "mb.c25r3.b1", + "mcs.c25r3.b1", + "bpm.25r3.b1", + "mo.25r3.b1", + "mq.25r3.b1", + "ms.25r3.b1", + "mcbh.25r3.b1", + "mco.a26r3.b1", + "mcd.a26r3.b1", + "mb.a26r3.b1", + "mcs.a26r3.b1", + "mb.b26r3.b1", + "mcs.b26r3.b1", + "mco.b26r3.b1", + "mcd.b26r3.b1", + "mb.c26r3.b1", + "mcs.c26r3.b1", + "bpm.26r3.b1", + "mo.26r3.b1", + "mq.26r3.b1", + "ms.26r3.b1", + "mcbv.26r3.b1", + "mb.a27r3.b1", + "mcs.a27r3.b1", + "mco.27r3.b1", + "mcd.27r3.b1", + "mb.b27r3.b1", + "mcs.b27r3.b1", + "mb.c27r3.b1", + "mcs.c27r3.b1", + "bpm.27r3.b1", + "mqs.27r3.b1", + "mq.27r3.b1", + "ms.27r3.b1", + "mcbh.27r3.b1", + "mco.a28r3.b1", + "mcd.a28r3.b1", + "mb.a28r3.b1", + "mcs.a28r3.b1", + "mb.b28r3.b1", + "mcs.b28r3.b1", + "mco.b28r3.b1", + "mcd.b28r3.b1", + "mb.c28r3.b1", + "mcs.c28r3.b1", + "bpm.28r3.b1", + "mq.28r3.b1", + "ms.28r3.b1", + "mcbv.28r3.b1", + "mb.a29r3.b1", + "mcs.a29r3.b1", + "mco.29r3.b1", + "mcd.29r3.b1", + "mb.b29r3.b1", + "mcs.b29r3.b1", + "mb.c29r3.b1", + "mcs.c29r3.b1", + "bpm.29r3.b1", + "mo.29r3.b1", + "mq.29r3.b1", + "mss.29r3.b1", + "mcbh.29r3.b1", + "mco.a30r3.b1", + "mcd.a30r3.b1", + "mb.a30r3.b1", + "mcs.a30r3.b1", + "mb.b30r3.b1", + "mcs.b30r3.b1", + "mco.b30r3.b1", + "mcd.b30r3.b1", + "mb.c30r3.b1", + "mcs.c30r3.b1", + "bpm.30r3.b1", + "mo.30r3.b1", + "mq.30r3.b1", + "ms.30r3.b1", + "mcbv.30r3.b1", + "mb.a31r3.b1", + "mcs.a31r3.b1", + "mco.31r3.b1", + "mcd.31r3.b1", + "mb.b31r3.b1", + "mcs.b31r3.b1", + "mb.c31r3.b1", + "mcs.c31r3.b1", + "bpm.31r3.b1", + "mo.31r3.b1", + "mq.31r3.b1", + "ms.31r3.b1", + "mcbh.31r3.b1", + "mco.a32r3.b1", + "mcd.a32r3.b1", + "mb.a32r3.b1", + "mcs.a32r3.b1", + "mb.b32r3.b1", + "mcs.b32r3.b1", + "mco.b32r3.b1", + "mcd.b32r3.b1", + "mb.c32r3.b1", + "mcs.c32r3.b1", + "bpm.32r3.b1", + "mq.32r3.b1", + "ms.32r3.b1", + "mcbv.32r3.b1", + "mb.a33r3.b1", + "mcs.a33r3.b1", + "mco.33r3.b1", + "mcd.33r3.b1", + "mb.b33r3.b1", + "mcs.b33r3.b1", + "mb.c33r3.b1", + "mcs.c33r3.b1", + "bpm.33r3.b1", + "mo.33r3.b1", + "mq.33r3.b1", + "mss.33r3.b1", + "mcbh.33r3.b1", + "mco.a34r3.b1", + "mcd.a34r3.b1", + "mb.a34r3.b1", + "mcs.a34r3.b1", + "mb.b34r3.b1", + "mcs.b34r3.b1", + "mco.b34r3.b1", + "mcd.b34r3.b1", + "mb.c34r3.b1", + "mcs.c34r3.b1", + "bpm.34r3.b1", + "mo.34r3.b1", + "mq.34r3.b1", + "ms.34l4.b1", + "mcbv.34l4.b1", + "mb.c34l4.b1", + "mcs.c34l4.b1", + "mco.34l4.b1", + "mcd.34l4.b1", + "mb.b34l4.b1", + "mcs.b34l4.b1", + "mb.a34l4.b1", + "mcs.a34l4.b1", + "bpm.33l4.b1", + "mo.33l4.b1", + "mq.33l4.b1", + "mss.33l4.b1", + "mcbh.33l4.b1", + "mco.b33l4.b1", + "mcd.b33l4.b1", + "mb.c33l4.b1", + "mcs.c33l4.b1", + "mb.b33l4.b1", + "mcs.b33l4.b1", + "mco.a33l4.b1", + "mcd.a33l4.b1", + "mb.a33l4.b1", + "mcs.a33l4.b1", + "bpm.32l4.b1", + "mo.32l4.b1", + "mq.32l4.b1", + "ms.32l4.b1", + "mcbv.32l4.b1", + "mb.c32l4.b1", + "mcs.c32l4.b1", + "mco.32l4.b1", + "mcd.32l4.b1", + "mb.b32l4.b1", + "mcs.b32l4.b1", + "mb.a32l4.b1", + "mcs.a32l4.b1", + "bpm.31l4.b1", + "mo.31l4.b1", + "mq.31l4.b1", + "ms.31l4.b1", + "mcbh.31l4.b1", + "mco.b31l4.b1", + "mcd.b31l4.b1", + "mb.c31l4.b1", + "mcs.c31l4.b1", + "mb.b31l4.b1", + "mcs.b31l4.b1", + "mco.a31l4.b1", + "mcd.a31l4.b1", + "mb.a31l4.b1", + "mcs.a31l4.b1", + "bpm.30l4.b1", + "mo.30l4.b1", + "mq.30l4.b1", + "ms.30l4.b1", + "mcbv.30l4.b1", + "mb.c30l4.b1", + "mcs.c30l4.b1", + "mco.30l4.b1", + "mcd.30l4.b1", + "mb.b30l4.b1", + "mcs.b30l4.b1", + "mb.a30l4.b1", + "mcs.a30l4.b1", + "bpm.29l4.b1", + "mo.29l4.b1", + "mq.29l4.b1", + "mss.29l4.b1", + "mcbh.29l4.b1", + "mco.b29l4.b1", + "mcd.b29l4.b1", + "mb.c29l4.b1", + "mcs.c29l4.b1", + "mb.b29l4.b1", + "mcs.b29l4.b1", + 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"mb.a25l4.b1", + "mcs.a25l4.b1", + "bpm.24l4.b1", + "mo.24l4.b1", + "mq.24l4.b1", + "ms.24l4.b1", + "mcbv.24l4.b1", + "mb.c24l4.b1", + "mcs.c24l4.b1", + "mco.24l4.b1", + "mcd.24l4.b1", + "mb.b24l4.b1", + "mcs.b24l4.b1", + "mb.a24l4.b1", + "mcs.a24l4.b1", + "bpm.23l4.b1", + "mqs.23l4.b1", + "mq.23l4.b1", + "ms.23l4.b1", + "mcbh.23l4.b1", + "mco.b23l4.b1", + "mcd.b23l4.b1", + "mb.c23l4.b1", + "mcs.c23l4.b1", + "mb.b23l4.b1", + "mcs.b23l4.b1", + "mco.a23l4.b1", + "mcd.a23l4.b1", + "mb.a23l4.b1", + "mcs.a23l4.b1", + "bpm.22l4.b1", + "mo.22l4.b1", + "mq.22l4.b1", + "ms.22l4.b1", + "mcbv.22l4.b1", + "mb.c22l4.b1", + "mcs.c22l4.b1", + "mco.22l4.b1", + "mcd.22l4.b1", + "mb.b22l4.b1", + "mcs.b22l4.b1", + "mb.a22l4.b1", + "mcs.a22l4.b1", + "bpm.21l4.b1", + "mqt.21l4.b1", + "mq.21l4.b1", + "ms.21l4.b1", + "mcbh.21l4.b1", + "mco.b21l4.b1", + "mcd.b21l4.b1", + "mb.c21l4.b1", + "mcs.c21l4.b1", + "mb.b21l4.b1", + "mcs.b21l4.b1", + "mco.a21l4.b1", + "mcd.a21l4.b1", + "mb.a21l4.b1", + "mcs.a21l4.b1", + "bpm.20l4.b1", + "mqt.20l4.b1", + "mq.20l4.b1", + "ms.20l4.b1", + "mcbv.20l4.b1", + "mb.c20l4.b1", + "mcs.c20l4.b1", + "mco.20l4.b1", + "mcd.20l4.b1", + "mb.b20l4.b1", + "mcs.b20l4.b1", + "mb.a20l4.b1", + "mcs.a20l4.b1", + "bpm.19l4.b1", + "mqt.19l4.b1", + "mq.19l4.b1", + "ms.19l4.b1", + "mcbh.19l4.b1", + "mco.b19l4.b1", + "mcd.b19l4.b1", + "mb.c19l4.b1", + "mcs.c19l4.b1", + "mb.b19l4.b1", + "mcs.b19l4.b1", + "mco.a19l4.b1", + "mcd.a19l4.b1", + "mb.a19l4.b1", + "mcs.a19l4.b1", + "bpm.18l4.b1", + "mqt.18l4.b1", + "mq.18l4.b1", + "ms.18l4.b1", + "mcbv.18l4.b1", + "mb.c18l4.b1", + "mcs.c18l4.b1", + "mco.18l4.b1", + "mcd.18l4.b1", + "mb.b18l4.b1", + "mcs.b18l4.b1", + "mb.a18l4.b1", + "mcs.a18l4.b1", + "bpm.17l4.b1", + "mqt.17l4.b1", + "mq.17l4.b1", + "ms.17l4.b1", + "mcbh.17l4.b1", + "mco.b17l4.b1", + "mcd.b17l4.b1", + "mb.c17l4.b1", + "mcs.c17l4.b1", + "mb.b17l4.b1", + "mcs.b17l4.b1", + "mco.a17l4.b1", + "mcd.a17l4.b1", + "mb.a17l4.b1", + "mcs.a17l4.b1", + "bpm.16l4.b1", + "mqt.16l4.b1", + "mq.16l4.b1", + "ms.16l4.b1", + "mcbv.16l4.b1", + "mb.c16l4.b1", + "mcs.c16l4.b1", + "mco.16l4.b1", + "mcd.16l4.b1", + "mb.b16l4.b1", + "mcs.b16l4.b1", + "mb.a16l4.b1", + "mcs.a16l4.b1", + "bpm.15l4.b1", + "mqt.15l4.b1", + "mq.15l4.b1", + "ms.15l4.b1", + "mcbh.15l4.b1", + "mco.b15l4.b1", + "mcd.b15l4.b1", + "mb.c15l4.b1", + "mcs.c15l4.b1", + "mb.b15l4.b1", + "mcs.b15l4.b1", + "mco.a15l4.b1", + "mcd.a15l4.b1", + "mb.a15l4.b1", + "mcs.a15l4.b1", + "bpm.14l4.b1", + "mqt.14l4.b1", + "mq.14l4.b1", + "ms.14l4.b1", + "mcbv.14l4.b1", + "mb.c14l4.b1", + "mcs.c14l4.b1", + "mco.14l4.b1", + "mcd.14l4.b1", + "mb.b14l4.b1", + "mcs.b14l4.b1", + "mb.a14l4.b1", + "mcs.a14l4.b1", + "bpm.13l4.b1", + "mqt.13l4.b1", + "mq.13l4.b1", + "ms.13l4.b1", + "mcbh.13l4.b1", + "mco.b13l4.b1", + "mcd.b13l4.b1", + "mb.c13l4.b1", + "mcs.c13l4.b1", + "mb.b13l4.b1", + "mcs.b13l4.b1", + "mco.a13l4.b1", + "mcd.a13l4.b1", + "mb.a13l4.b1", + "mcs.a13l4.b1", + "bpm.12l4.b1", + "mqt.12l4.b1", + "mq.12l4.b1", + "ms.12l4.b1", + "mcbv.12l4.b1", + "mb.c12l4.b1", + "mcs.c12l4.b1", + "mco.12l4.b1", + "mcd.12l4.b1", + "mb.b12l4.b1", + "mcs.b12l4.b1", + "mb.a12l4.b1", + "mcs.a12l4.b1", + "bpm.11l4.b1", + "mq.11l4.b1", + "mqtli.11l4.b1", + "ms.11l4.b1", + "mcbh.11l4.b1", + "lebl.11l4.b1", + "mco.11l4.b1", + "mcd.11l4.b1", + "mb.b11l4.b1", + "mcs.b11l4.b1", + "mb.a11l4.b1", + "mcs.a11l4.b1", + "bpmcs.10l4.b1", + "bpm.10l4.b1", + "mqml.10l4.b1", + "mcbcv.10l4.b1", + "mco.10l4.b1", + "mcd.10l4.b1", + "mb.b10l4.b1", + "mcs.b10l4.b1", + "mb.a10l4.b1", + "mcs.a10l4.b1", + "bpmcs.9l4.b1", + "bpm.9l4.b1", + "mqmc.9l4.b1", + "mqm.9l4.b1", + "mcbch.9l4.b1", + "mco.9l4.b1", + "mcd.9l4.b1", + "mb.b9l4.b1", + "mcs.b9l4.b1", + "mb.a9l4.b1", + "mcs.a9l4.b1", + "bpmcs.8l4.b1", + "bpm.8l4.b1", + "mqml.8l4.b1", + "mcbcv.8l4.b1", + "mco.8l4.b1", + "mcd.8l4.b1", + "mb.b8l4.b1", + "mcs.b8l4.b1", + "mb.a8l4.b1", + "mcs.a8l4.b1", + "bpmcs.7l4.b1", + "bpm.7l4.b1", + "mqm.7l4.b1", + "mcbch.7l4.b1", + "dfbag.7l4.b1", + "bpmyb.6l4.b1", + "mqy.6l4.b1", + "mcbyv.6l4.b1", + "bqkv.6l4.b1", + "mkqa.6l4.b1", + "btvm.6l4.b1", + "apwl.b6l4.b1", + "bqkh.b6l4.b1", + "bpmya.5l4.b1", + "mqy.5l4.b1", + "mcbyh.5l4.b1", + "mbrb.5l4.b1", + "bpmwi.a5l4.b1", + "mbrs.5l4.b1", + "bpmwa.b5l4.b1", + "adtkh.d5l4.b1", + "adtkh.c5l4.b1", + "adtkh.b5l4.b1", + "adtkh.a5l4.b1", + "bpmwa.a5l4.b1", + "acsca.d5l4.b1", + "acsca.c5l4.b1", + "acsca.b5l4.b1", + "acsca.a5l4.b1", + "acsca.a5r4.b1", + "acsca.b5r4.b1", + "acsca.c5r4.b1", + "acsca.d5r4.b1", + "apwl.5r4.b1", + "apwl.b5r4.b1", + "bpmwa.a5r4.b1", + "adtkv.a5r4.b1", + "adtkv.b5r4.b1", + "adtkv.c5r4.b1", + "adtkv.d5r4.b1", + "bpmwa.b5r4.b1", + "mu.a5r4.b1", + "mu.b5r4.b1", + "mu.c5r4.b1", + "mu.d5r4.b1", + "mbrs.5r4.b1", + "bsrtr.5r4.b1", + "bsrtm.5r4.b1", + "bws.5r4.b1", + "bqsv.5r4.b1", + "mbrb.5r4.b1", + "mcbyv.5r4.b1", + "mqy.5r4.b1", + "bpmyb.5r4.b1", + "bplv.a6r4.b1", + "bplv.b6r4.b1", + "bplv.c6r4.b1", + "bplx.h6r4.b1", + "bplx.d6r4.b1", + "bctdc.a6r4.b1", + "bctdc.b6r4.b1", + "bctfr.a6r4.b1", + "bctfr.b6r4.b1", + "bplh.a6r4.b1", + "bplh.b6r4.b1", + "bpmya.6r4.b1", + "mqy.6r4.b1", + "mcbyh.6r4.b1", + "bqsh.7r4.b1", + "bplh.7r4.b1", + "dfbah.7r4.b1", + "bpmcs.7r4.b1", + "bpm.7r4.b1", + "mqm.7r4.b1", + "mcbcv.7r4.b1", + "mco.8r4.b1", + "mcd.8r4.b1", + "mb.a8r4.b1", + "mcs.a8r4.b1", + "mb.b8r4.b1", + "mcs.b8r4.b1", + "bpmcs.8r4.b1", + "bpm.8r4.b1", + "mqml.8r4.b1", + "mcbch.8r4.b1", + "mco.9r4.b1", + "mcd.9r4.b1", + "mb.a9r4.b1", + "mcs.a9r4.b1", + "mb.b9r4.b1", + "mcs.b9r4.b1", + "bpmcs.9r4.b1", + "bpm.9r4.b1", + "mqmc.9r4.b1", + "mqm.9r4.b1", + "mcbcv.9r4.b1", + "mco.10r4.b1", + "mcd.10r4.b1", + "mb.a10r4.b1", + "mcs.a10r4.b1", + "mb.b10r4.b1", + "mcs.b10r4.b1", + "bpmcs.10r4.b1", + "bpm.10r4.b1", + "mqml.10r4.b1", + "mcbch.10r4.b1", + "mco.11r4.b1", + "mcd.11r4.b1", + "mb.a11r4.b1", + "mcs.a11r4.b1", + "mb.b11r4.b1", + "mcs.b11r4.b1", + "leal.11r4.b1", + "bpm.11r4.b1", + "mq.11r4.b1", + "mqtli.11r4.b1", + "ms.11r4.b1", + "mcbv.11r4.b1", + "mco.a12r4.b1", + 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+ "mcs.a16r4.b1", + "mb.b16r4.b1", + "mcs.b16r4.b1", + "mco.b16r4.b1", + "mcd.b16r4.b1", + "mb.c16r4.b1", + "mcs.c16r4.b1", + "bpm.16r4.b1", + "mqt.16r4.b1", + "mq.16r4.b1", + "ms.16r4.b1", + "mcbh.16r4.b1", + "mb.a17r4.b1", + "mcs.a17r4.b1", + "mco.17r4.b1", + "mcd.17r4.b1", + "mb.b17r4.b1", + "mcs.b17r4.b1", + "mb.c17r4.b1", + "mcs.c17r4.b1", + "bpm.17r4.b1", + "mqt.17r4.b1", + "mq.17r4.b1", + "ms.17r4.b1", + "mcbv.17r4.b1", + "mco.a18r4.b1", + "mcd.a18r4.b1", + "mb.a18r4.b1", + "mcs.a18r4.b1", + "mb.b18r4.b1", + "mcs.b18r4.b1", + "mco.b18r4.b1", + "mcd.b18r4.b1", + "mb.c18r4.b1", + "mcs.c18r4.b1", + "bpm.18r4.b1", + "mqt.18r4.b1", + "mq.18r4.b1", + "ms.18r4.b1", + "mcbh.18r4.b1", + "mb.a19r4.b1", + "mcs.a19r4.b1", + "mco.19r4.b1", + "mcd.19r4.b1", + "mb.b19r4.b1", + "mcs.b19r4.b1", + "mb.c19r4.b1", + "mcs.c19r4.b1", + "bpm.19r4.b1", + "mqt.19r4.b1", + "mq.19r4.b1", + "ms.19r4.b1", + "mcbv.19r4.b1", + "mco.a20r4.b1", + "mcd.a20r4.b1", + "mb.a20r4.b1", + "mcs.a20r4.b1", + "mb.b20r4.b1", + "mcs.b20r4.b1", + "mco.b20r4.b1", + "mcd.b20r4.b1", + "mb.c20r4.b1", + "mcs.c20r4.b1", + "bpm.20r4.b1", + "mqt.20r4.b1", + "mq.20r4.b1", + "ms.20r4.b1", + "mcbh.20r4.b1", + "mb.a21r4.b1", + "mcs.a21r4.b1", + "mco.21r4.b1", + "mcd.21r4.b1", + "mb.b21r4.b1", + "mcs.b21r4.b1", + "mb.c21r4.b1", + "mcs.c21r4.b1", + "bpm.21r4.b1", + "mqt.21r4.b1", + "mq.21r4.b1", + "ms.21r4.b1", + "mcbv.21r4.b1", + "mco.a22r4.b1", + "mcd.a22r4.b1", + "mb.a22r4.b1", + "mcs.a22r4.b1", + "mb.b22r4.b1", + "mcs.b22r4.b1", + "mco.b22r4.b1", + "mcd.b22r4.b1", + "mb.c22r4.b1", + "mcs.c22r4.b1", + "bpm.22r4.b1", + "mo.22r4.b1", + "mq.22r4.b1", + "ms.22r4.b1", + "mcbh.22r4.b1", + "mb.a23r4.b1", + "mcs.a23r4.b1", + "mco.23r4.b1", + "mcd.23r4.b1", + "mb.b23r4.b1", + "mcs.b23r4.b1", + "mb.c23r4.b1", + "mcs.c23r4.b1", + "bpm.23r4.b1", + "mqs.23r4.b1", + "mq.23r4.b1", + "ms.23r4.b1", + "mcbv.23r4.b1", + "mco.a24r4.b1", + "mcd.a24r4.b1", + "mb.a24r4.b1", + "mcs.a24r4.b1", + "mb.b24r4.b1", + "mcs.b24r4.b1", + "mco.b24r4.b1", + "mcd.b24r4.b1", + "mb.c24r4.b1", + "mcs.c24r4.b1", + "bpm.24r4.b1", + "mo.24r4.b1", + "mq.24r4.b1", + "ms.24r4.b1", + "mcbh.24r4.b1", + "mb.a25r4.b1", + "mcs.a25r4.b1", + "mco.25r4.b1", + "mcd.25r4.b1", + "mb.b25r4.b1", + "mcs.b25r4.b1", + "mb.c25r4.b1", + "mcs.c25r4.b1", + "bpm.25r4.b1", + "mo.25r4.b1", + "mq.25r4.b1", + "ms.25r4.b1", + "mcbv.25r4.b1", + "mco.a26r4.b1", + "mcd.a26r4.b1", + "mb.a26r4.b1", + "mcs.a26r4.b1", + "mb.b26r4.b1", + "mcs.b26r4.b1", + "mco.b26r4.b1", + "mcd.b26r4.b1", + "mb.c26r4.b1", + "mcs.c26r4.b1", + "bpm.26r4.b1", + "mo.26r4.b1", + "mq.26r4.b1", + "ms.26r4.b1", + "mcbh.26r4.b1", + "mb.a27r4.b1", + "mcs.a27r4.b1", + "mco.27r4.b1", + "mcd.27r4.b1", + "mb.b27r4.b1", + "mcs.b27r4.b1", + "mb.c27r4.b1", + "mcs.c27r4.b1", + "bpm.27r4.b1", + "mqs.27r4.b1", + "mq.27r4.b1", + "ms.27r4.b1", + "mcbv.27r4.b1", + "mco.a28r4.b1", + "mcd.a28r4.b1", + "mb.a28r4.b1", + "mcs.a28r4.b1", + "mb.b28r4.b1", + "mcs.b28r4.b1", + "mco.b28r4.b1", + "mcd.b28r4.b1", + "mb.c28r4.b1", + "mcs.c28r4.b1", + "bpm.28r4.b1", + "mo.28r4.b1", + "mq.28r4.b1", + "ms.28r4.b1", + "mcbh.28r4.b1", + "mb.a29r4.b1", + "mcs.a29r4.b1", + "mco.29r4.b1", + "mcd.29r4.b1", + "mb.b29r4.b1", + "mcs.b29r4.b1", + "mb.c29r4.b1", + "mcs.c29r4.b1", + "bpm.29r4.b1", + "mo.29r4.b1", + "mq.29r4.b1", + "ms.29r4.b1", + "mcbv.29r4.b1", + "mco.a30r4.b1", + "mcd.a30r4.b1", + "mb.a30r4.b1", + "mcs.a30r4.b1", + "mb.b30r4.b1", + "mcs.b30r4.b1", + "mco.b30r4.b1", + "mcd.b30r4.b1", + "mb.c30r4.b1", + "mcs.c30r4.b1", + "bpm.30r4.b1", + "mo.30r4.b1", + "mq.30r4.b1", + "mss.30r4.b1", + "mcbh.30r4.b1", + "mb.a31r4.b1", + "mcs.a31r4.b1", + "mco.31r4.b1", + "mcd.31r4.b1", + "mb.b31r4.b1", + "mcs.b31r4.b1", + "mb.c31r4.b1", + "mcs.c31r4.b1", + "bpm.31r4.b1", + "mo.31r4.b1", + "mq.31r4.b1", + "ms.31r4.b1", + "mcbv.31r4.b1", + "mco.a32r4.b1", + "mcd.a32r4.b1", + "mb.a32r4.b1", + "mcs.a32r4.b1", + "mb.b32r4.b1", + "mcs.b32r4.b1", + "mco.b32r4.b1", + "mcd.b32r4.b1", + "mb.c32r4.b1", + "mcs.c32r4.b1", + "bpm.32r4.b1", + "mo.32r4.b1", + "mq.32r4.b1", + "ms.32r4.b1", + "mcbh.32r4.b1", + "mb.a33r4.b1", + "mcs.a33r4.b1", + "mco.33r4.b1", + "mcd.33r4.b1", + "mb.b33r4.b1", + "mcs.b33r4.b1", + "mb.c33r4.b1", + "mcs.c33r4.b1", + "bpm.33r4.b1", + "mo.33r4.b1", + "mq.33r4.b1", + "ms.33r4.b1", + "mcbv.33r4.b1", + "mco.a34r4.b1", + "mcd.a34r4.b1", + "mb.a34r4.b1", + "mcs.a34r4.b1", + "mb.b34r4.b1", + "mcs.b34r4.b1", + "mco.b34r4.b1", + "mcd.b34r4.b1", + "mb.c34r4.b1", + "mcs.c34r4.b1", + "bpm.34r4.b1", + "mo.34r4.b1", + "mq.34r4.b1", + "mss.34l5.b1", + "mcbh.34l5.b1", + "mb.c34l5.b1", + "mcs.c34l5.b1", + "mco.34l5.b1", + "mcd.34l5.b1", + "mb.b34l5.b1", + "mcs.b34l5.b1", + "mb.a34l5.b1", + "mcs.a34l5.b1", + "bpm.33l5.b1", + "mo.33l5.b1", + "mq.33l5.b1", + "ms.33l5.b1", + "mcbv.33l5.b1", + "mco.b33l5.b1", + "mcd.b33l5.b1", + "mb.c33l5.b1", + "mcs.c33l5.b1", + "mb.b33l5.b1", + "mcs.b33l5.b1", + "mco.a33l5.b1", + "mcd.a33l5.b1", + "mb.a33l5.b1", + "mcs.a33l5.b1", + "bpm.32l5.b1", + "mo.32l5.b1", + "mq.32l5.b1", + "mss.32l5.b1", + "mcbh.32l5.b1", + "mb.c32l5.b1", + "mcs.c32l5.b1", + "mco.32l5.b1", + "mcd.32l5.b1", + "mb.b32l5.b1", + "mcs.b32l5.b1", + "mb.a32l5.b1", + "mcs.a32l5.b1", + "bpm.31l5.b1", + "mo.31l5.b1", + "mq.31l5.b1", + "ms.31l5.b1", + "mcbv.31l5.b1", + "mco.b31l5.b1", + "mcd.b31l5.b1", + "mb.c31l5.b1", + "mcs.c31l5.b1", + "mb.b31l5.b1", + "mcs.b31l5.b1", + "mco.a31l5.b1", + "mcd.a31l5.b1", + "mb.a31l5.b1", + "mcs.a31l5.b1", + "bpm.30l5.b1", + "mo.30l5.b1", + "mq.30l5.b1", + "ms.30l5.b1", + "mcbh.30l5.b1", + "mb.c30l5.b1", + "mcs.c30l5.b1", + "mco.30l5.b1", + "mcd.30l5.b1", + "mb.b30l5.b1", + "mcs.b30l5.b1", + "mb.a30l5.b1", + "mcs.a30l5.b1", + "bpm.29l5.b1", + "mo.29l5.b1", + "mq.29l5.b1", + "ms.29l5.b1", + "mcbv.29l5.b1", + "mco.b29l5.b1", + "mcd.b29l5.b1", + "mb.c29l5.b1", + "mcs.c29l5.b1", + "mb.b29l5.b1", + "mcs.b29l5.b1", + "mco.a29l5.b1", + "mcd.a29l5.b1", + "mb.a29l5.b1", + "mcs.a29l5.b1", + "bpm.28l5.b1", + "mo.28l5.b1", + "mq.28l5.b1", + "mss.28l5.b1", + "mcbh.28l5.b1", + "mb.c28l5.b1", + "mcs.c28l5.b1", + "mco.28l5.b1", + "mcd.28l5.b1", + "mb.b28l5.b1", + "mcs.b28l5.b1", + "mb.a28l5.b1", + "mcs.a28l5.b1", + "bpm.27l5.b1", + "mqs.27l5.b1", + "mq.27l5.b1", + "ms.27l5.b1", + "mcbv.27l5.b1", + "mco.b27l5.b1", + "mcd.b27l5.b1", + "mb.c27l5.b1", + "mcs.c27l5.b1", + "mb.b27l5.b1", + "mcs.b27l5.b1", + "mco.a27l5.b1", + "mcd.a27l5.b1", + "mb.a27l5.b1", + "mcs.a27l5.b1", + "bpm.26l5.b1", + "mo.26l5.b1", + "mq.26l5.b1", + "ms.26l5.b1", + "mcbh.26l5.b1", + "mb.c26l5.b1", + "mcs.c26l5.b1", + "mco.26l5.b1", + "mcd.26l5.b1", + "mb.b26l5.b1", + "mcs.b26l5.b1", + "mb.a26l5.b1", + "mcs.a26l5.b1", + "bpm.25l5.b1", + "mo.25l5.b1", + "mq.25l5.b1", + "ms.25l5.b1", + "mcbv.25l5.b1", + "mco.b25l5.b1", + "mcd.b25l5.b1", + "mb.c25l5.b1", + "mcs.c25l5.b1", + "mb.b25l5.b1", + "mcs.b25l5.b1", + "mco.a25l5.b1", + "mcd.a25l5.b1", + "mb.a25l5.b1", + "mcs.a25l5.b1", + "bpm.24l5.b1", + "mo.24l5.b1", + "mq.24l5.b1", + "ms.24l5.b1", + "mcbh.24l5.b1", + "mb.c24l5.b1", + "mcs.c24l5.b1", + "mco.24l5.b1", + "mcd.24l5.b1", + "mb.b24l5.b1", + "mcs.b24l5.b1", + "mb.a24l5.b1", + "mcs.a24l5.b1", + "bpm.23l5.b1", + "mqs.23l5.b1", + "mq.23l5.b1", + "ms.23l5.b1", + "mcbv.23l5.b1", + "mco.b23l5.b1", + "mcd.b23l5.b1", + "mb.c23l5.b1", + "mcs.c23l5.b1", + "mb.b23l5.b1", + "mcs.b23l5.b1", + "mco.a23l5.b1", + "mcd.a23l5.b1", + "mb.a23l5.b1", + "mcs.a23l5.b1", + "bpm.22l5.b1", + "mo.22l5.b1", + "mq.22l5.b1", + "ms.22l5.b1", + "mcbh.22l5.b1", + "mb.c22l5.b1", + "mcs.c22l5.b1", + "mco.22l5.b1", + "mcd.22l5.b1", + "mb.b22l5.b1", + "mcs.b22l5.b1", + "mb.a22l5.b1", + "mcs.a22l5.b1", + "bpm.21l5.b1", + "mqt.21l5.b1", + "mq.21l5.b1", + "ms.21l5.b1", + "mcbv.21l5.b1", + "mco.b21l5.b1", + "mcd.b21l5.b1", + "mb.c21l5.b1", + "mcs.c21l5.b1", + "mb.b21l5.b1", + "mcs.b21l5.b1", + "mco.a21l5.b1", + "mcd.a21l5.b1", + "mb.a21l5.b1", + "mcs.a21l5.b1", + "bpm.20l5.b1", + "mqt.20l5.b1", + "mq.20l5.b1", + "ms.20l5.b1", + "mcbh.20l5.b1", + "mb.c20l5.b1", + "mcs.c20l5.b1", + "mco.20l5.b1", + "mcd.20l5.b1", + "mb.b20l5.b1", + "mcs.b20l5.b1", + "mb.a20l5.b1", + "mcs.a20l5.b1", + "bpm.19l5.b1", + "mqt.19l5.b1", + "mq.19l5.b1", + "ms.19l5.b1", + "mcbv.19l5.b1", + "mco.b19l5.b1", + "mcd.b19l5.b1", + "mb.c19l5.b1", + "mcs.c19l5.b1", + "mb.b19l5.b1", + "mcs.b19l5.b1", + "mco.a19l5.b1", + "mcd.a19l5.b1", + "mb.a19l5.b1", + "mcs.a19l5.b1", + "bpm.18l5.b1", + "mqt.18l5.b1", + "mq.18l5.b1", + "ms.18l5.b1", + "mcbh.18l5.b1", + "mb.c18l5.b1", + "mcs.c18l5.b1", + "mco.18l5.b1", + "mcd.18l5.b1", + "mb.b18l5.b1", + "mcs.b18l5.b1", + "mb.a18l5.b1", + "mcs.a18l5.b1", + "bpm.17l5.b1", + "mqt.17l5.b1", + "mq.17l5.b1", + "ms.17l5.b1", + "mcbv.17l5.b1", + "mco.b17l5.b1", + "mcd.b17l5.b1", + "mb.c17l5.b1", + "mcs.c17l5.b1", + "mb.b17l5.b1", + "mcs.b17l5.b1", + "mco.a17l5.b1", + "mcd.a17l5.b1", + "mb.a17l5.b1", + "mcs.a17l5.b1", + "bpm.16l5.b1", + "mqt.16l5.b1", + "mq.16l5.b1", + "ms.16l5.b1", + "mcbh.16l5.b1", + "mb.c16l5.b1", + "mcs.c16l5.b1", + "mco.16l5.b1", + "mcd.16l5.b1", + "mb.b16l5.b1", + "mcs.b16l5.b1", + "mb.a16l5.b1", + "mcs.a16l5.b1", + "bpm.15l5.b1", + "mqt.15l5.b1", + "mq.15l5.b1", + "ms.15l5.b1", + "mcbv.15l5.b1", + "mco.b15l5.b1", + "mcd.b15l5.b1", + "mb.c15l5.b1", + "mcs.c15l5.b1", + "mb.b15l5.b1", + "mcs.b15l5.b1", + "mco.a15l5.b1", + "mcd.a15l5.b1", + "mb.a15l5.b1", + "mcs.a15l5.b1", + "bpm.14l5.b1", + "mqt.14l5.b1", + "mq.14l5.b1", + "ms.14l5.b1", + "mcbh.14l5.b1", + "mb.c14l5.b1", + "mcs.c14l5.b1", + "mco.14l5.b1", + "mcd.14l5.b1", + "mb.b14l5.b1", + "mcs.b14l5.b1", + "mb.a14l5.b1", + "mcs.a14l5.b1", + "bpm.13l5.b1", + "mqt.13l5.b1", + "mq.13l5.b1", + "ms.13l5.b1", + "mcbv.13l5.b1", + "mco.b13l5.b1", + "mcd.b13l5.b1", + "mb.c13l5.b1", + "mcs.c13l5.b1", + "mb.b13l5.b1", + "mcs.b13l5.b1", + "mco.a13l5.b1", + "mcd.a13l5.b1", + "mb.a13l5.b1", + "mcs.a13l5.b1", + "bpm.12l5.b1", + "mqt.12l5.b1", + "mq.12l5.b1", + "ms.12l5.b1", + "mcbh.12l5.b1", + "mb.c12l5.b1", + "mcs.c12l5.b1", + "mco.12l5.b1", + "mcd.12l5.b1", + "mb.b12l5.b1", + "mcs.b12l5.b1", + "mb.a12l5.b1", + "mcs.a12l5.b1", + "bpm.11l5.b1", + "mq.11l5.b1", + "mqtli.11l5.b1", + "ms.11l5.b1", + "mcbv.11l5.b1", + "lefl.11l5.b1", + "mco.11l5.b1", + "mcd.11l5.b1", + "mb.b11l5.b1", + "mcs.b11l5.b1", + "mb.a11l5.b1", + "mcs.a11l5.b1", + "bpm.10l5.b1", + "mqml.10l5.b1", + "ms.10l5.b1", + "mcbh.10l5.b1", + "mco.10l5.b1", + "mcd.10l5.b1", + "mb.b10l5.b1", + "mcs.b10l5.b1", + "mb.a10l5.b1", + "mcs.a10l5.b1", + "bpm.9l5.b1", + "mqmc.9l5.b1", + "mqm.9l5.b1", + "mcbcv.9l5.b1", + "mco.9l5.b1", + "mcd.9l5.b1", + "mb.b9l5.b1", + "mcs.b9l5.b1", + "mb.a9l5.b1", + "mcs.a9l5.b1", + "bpm.8l5.b1", + "mqml.8l5.b1", + "mcbch.8l5.b1", + "mco.8l5.b1", + "mcd.8l5.b1", + "mb.b8l5.b1", + "mcs.b8l5.b1", + "mb.a8l5.b1", + "mcs.a8l5.b1", + "bpmr.7l5.b1", + "mqm.b7l5.b1", + "mqm.a7l5.b1", + "mcbcv.7l5.b1", + "dfbai.7l5.b1", + "bpm.6l5.b1", + "mqml.6l5.b1", + "mcbch.6l5.b1", + "tclmc.6l5.b1", + "tctph.6l5.b1", + "tctpv.6l5.b1", + "bpmr.5l5.b1", + "mqml.5l5.b1", + "mcbcv.5l5.b1", + "tclmc.5l5.b1", + "mqy.4l5.b1", + "mcbyv.b4l5.b1", + "mcbyh.4l5.b1", + "mcbyv.a4l5.b1", + "tclmb.4l5.b1", + "bpmqbczb.4l5.b1", + "mcbrdh.4l5.b1", + "mcbrdv.4l5.b1", + "mbrd.4l5.b1", + "bptuh.a4l5.b1", + "tctpxh.4l5.b1", + "bptdh.a4l5.b1", + "bptuv.a4l5.b1", + "tctpxv.4l5.b1", + "bptdv.a4l5.b1", + "taxn.4l5", + "mbxf.4l5", + "mcssxf.3l5", + "mcsxf.3l5", + "mcosxf.3l5", + "mcoxf.3l5", + "mcdsxf.3l5", + "mcdxf.3l5", + "mctsxf.3l5", + "mctxf.3l5", + "mqsxf.3l5", + "mcbxfah.3l5", + "mcbxfav.3l5", + "mqxfa.b3l5", + "mqxfa.a3l5", + "mcbxfbh.b2l5", + "mcbxfbv.b2l5", + "mqxfb.b2l5", + "mqxfb.a2l5", + "mcbxfbh.a2l5", + "mcbxfbv.a2l5", + "mqxfa.b1l5", + "mqxfa.a1l5", + "ip5", + "mqxfa.a1r5", + "mqxfa.b1r5", + "mcbxfbh.a2r5", + "mcbxfbv.a2r5", + "mqxfb.a2r5", + "mqxfb.b2r5", + "mcbxfbh.b2r5", + "mcbxfbv.b2r5", + "mqxfa.a3r5", + "mqxfa.b3r5", + "mcbxfah.3r5", + "mcbxfav.3r5", + "mqsxf.3r5", + "mctxf.3r5", + "mctsxf.3r5", + "mcdxf.3r5", + "mcdsxf.3r5", + "mcoxf.3r5", + "mcosxf.3r5", + "mcsxf.3r5", + "mcssxf.3r5", + "mbxf.4r5", + "taxn.4r5", + "tclpx.4r5.b1", + "mbrd.4r5.b1", + "mcbrdv.4r5.b1", + "mcbrdh.4r5.b1", + "bpmqbczb.4r5.b1", + "tclmb.4r5.b1", + "mcbyh.a4r5.b1", + "mcbyv.4r5.b1", + "mcbyh.b4r5.b1", + "mqy.4r5.b1", + "bpmya.4r5.b1", + "tcl.5r5.b1", + "tclmc.5r5.b1", + "bpm.5r5.b1", + "mqml.5r5.b1", + "mcbch.5r5.b1", + "xrph.a6r5.b1", + "xrpv.a6r5.b1", + "xrpv.b6r5.b1", + "xrph.b6r5.b1", + "tcl.6r5.b1", + "tclmc.6r5.b1", + "bpmr.6r5.b1", + "mqml.6r5.b1", + "mcbcv.6r5.b1", + "dfbaj.7r5.b1", + "bpm_a.7r5.b1", + "mqm.a7r5.b1", + "mqm.b7r5.b1", + "mcbch.7r5.b1", + "mco.8r5.b1", + "mcd.8r5.b1", + "mb.a8r5.b1", + "mcs.a8r5.b1", + "mb.b8r5.b1", + "mcs.b8r5.b1", + "bpm.8r5.b1", + "mqml.8r5.b1", + "mcbcv.8r5.b1", + "mco.9r5.b1", + "mcd.9r5.b1", + "mb.a9r5.b1", + "mcs.a9r5.b1", + "mb.b9r5.b1", + "mcs.b9r5.b1", + "bpm.9r5.b1", + "mqmc.9r5.b1", + "mqm.9r5.b1", + "mcbch.9r5.b1", + "mco.10r5.b1", + "mcd.10r5.b1", + "mb.a10r5.b1", + "mcs.a10r5.b1", + "mb.b10r5.b1", + "mcs.b10r5.b1", + "mqml.10r5.b1", + "ms.10r5.b1", + "mcbv.10r5.b1", + "mco.11r5.b1", + "mcd.11r5.b1", + "mb.a11r5.b1", + "mcs.a11r5.b1", + "mb.b11r5.b1", + "mcs.b11r5.b1", + "legr.11r5.b1", + "bpm.11r5.b1", + "mq.11r5.b1", + "mqtli.11r5.b1", + "ms.11r5.b1", + "mcbh.11r5.b1", + "mco.a12r5.b1", + "mcd.a12r5.b1", + "mb.a12r5.b1", + "mcs.a12r5.b1", + "mb.b12r5.b1", + "mcs.b12r5.b1", + "mco.b12r5.b1", + "mcd.b12r5.b1", + "mb.c12r5.b1", + "mcs.c12r5.b1", + "bpm.12r5.b1", + "mqt.12r5.b1", + "mq.12r5.b1", + "ms.12r5.b1", + "mcbv.12r5.b1", + "mb.a13r5.b1", + "mcs.a13r5.b1", + "mco.13r5.b1", + "mcd.13r5.b1", + "mb.b13r5.b1", + "mcs.b13r5.b1", + "mb.c13r5.b1", + "mcs.c13r5.b1", + "bpm.13r5.b1", + "mqt.13r5.b1", + "mq.13r5.b1", + "ms.13r5.b1", + "mcbh.13r5.b1", + "mco.a14r5.b1", + "mcd.a14r5.b1", + "mb.a14r5.b1", + "mcs.a14r5.b1", + "mb.b14r5.b1", + "mcs.b14r5.b1", + "mco.b14r5.b1", + "mcd.b14r5.b1", + "mb.c14r5.b1", + "mcs.c14r5.b1", + "bpm.14r5.b1", + "mqt.14r5.b1", + "mq.14r5.b1", + "ms.14r5.b1", + "mcbv.14r5.b1", + "mb.a15r5.b1", + "mcs.a15r5.b1", + "mco.15r5.b1", + "mcd.15r5.b1", + "mb.b15r5.b1", + "mcs.b15r5.b1", + "mb.c15r5.b1", + "mcs.c15r5.b1", + "bpm.15r5.b1", + "mqt.15r5.b1", + "mq.15r5.b1", + "ms.15r5.b1", + "mcbh.15r5.b1", + "mco.a16r5.b1", + "mcd.a16r5.b1", + "mb.a16r5.b1", + "mcs.a16r5.b1", + "mb.b16r5.b1", + "mcs.b16r5.b1", + "mco.b16r5.b1", + "mcd.b16r5.b1", + "mb.c16r5.b1", + "mcs.c16r5.b1", + "bpm.16r5.b1", + "mqt.16r5.b1", + "mq.16r5.b1", + "ms.16r5.b1", + "mcbv.16r5.b1", + "mb.a17r5.b1", + "mcs.a17r5.b1", + "mco.17r5.b1", + "mcd.17r5.b1", + "mb.b17r5.b1", + "mcs.b17r5.b1", + "mb.c17r5.b1", + "mcs.c17r5.b1", + "bpm.17r5.b1", + "mqt.17r5.b1", + "mq.17r5.b1", + "ms.17r5.b1", + "mcbh.17r5.b1", + "mco.a18r5.b1", + "mcd.a18r5.b1", + "mb.a18r5.b1", + "mcs.a18r5.b1", + "mb.b18r5.b1", + "mcs.b18r5.b1", + "mco.b18r5.b1", + "mcd.b18r5.b1", + "mb.c18r5.b1", + "mcs.c18r5.b1", + "bpm.18r5.b1", + "mqt.18r5.b1", + "mq.18r5.b1", + "ms.18r5.b1", + "mcbv.18r5.b1", + "mb.a19r5.b1", + "mcs.a19r5.b1", + "mco.19r5.b1", + "mcd.19r5.b1", + "mb.b19r5.b1", + "mcs.b19r5.b1", + "mb.c19r5.b1", + "mcs.c19r5.b1", + "bpm.19r5.b1", + "mqt.19r5.b1", + "mq.19r5.b1", + "ms.19r5.b1", + "mcbh.19r5.b1", + "mco.a20r5.b1", + "mcd.a20r5.b1", + "mb.a20r5.b1", + "mcs.a20r5.b1", + "mb.b20r5.b1", + "mcs.b20r5.b1", + "mco.b20r5.b1", + "mcd.b20r5.b1", + "mb.c20r5.b1", + "mcs.c20r5.b1", + "bpm.20r5.b1", + "mqt.20r5.b1", + "mq.20r5.b1", + "ms.20r5.b1", + "mcbv.20r5.b1", + "mb.a21r5.b1", + "mcs.a21r5.b1", + "mco.21r5.b1", + "mcd.21r5.b1", + "mb.b21r5.b1", + "mcs.b21r5.b1", + "mb.c21r5.b1", + "mcs.c21r5.b1", + "bpm.21r5.b1", + "mqt.21r5.b1", + "mq.21r5.b1", + "ms.21r5.b1", + "mcbh.21r5.b1", + "mco.a22r5.b1", + "mcd.a22r5.b1", + "mb.a22r5.b1", + "mcs.a22r5.b1", + "mb.b22r5.b1", + "mcs.b22r5.b1", + "mco.b22r5.b1", + "mcd.b22r5.b1", + "mb.c22r5.b1", + "mcs.c22r5.b1", + "bpm.22r5.b1", + "mo.22r5.b1", + "mq.22r5.b1", + "ms.22r5.b1", + "mcbv.22r5.b1", + "mb.a23r5.b1", + "mcs.a23r5.b1", + "mco.23r5.b1", + "mcd.23r5.b1", + "mb.b23r5.b1", + "mcs.b23r5.b1", + "mb.c23r5.b1", + "mcs.c23r5.b1", + "bpm.23r5.b1", + "mqs.23r5.b1", + "mq.23r5.b1", + "ms.23r5.b1", + "mcbh.23r5.b1", + "mco.a24r5.b1", + "mcd.a24r5.b1", + "mb.a24r5.b1", + "mcs.a24r5.b1", + "mb.b24r5.b1", + "mcs.b24r5.b1", + "mco.b24r5.b1", + "mcd.b24r5.b1", + "mb.c24r5.b1", + "mcs.c24r5.b1", + "bpm.24r5.b1", + "mo.24r5.b1", + "mq.24r5.b1", + "ms.24r5.b1", + "mcbv.24r5.b1", + "mb.a25r5.b1", + "mcs.a25r5.b1", + "mco.25r5.b1", + "mcd.25r5.b1", + "mb.b25r5.b1", + "mcs.b25r5.b1", + "mb.c25r5.b1", + "mcs.c25r5.b1", + "bpm.25r5.b1", + "mo.25r5.b1", + "mq.25r5.b1", + "ms.25r5.b1", + "mcbh.25r5.b1", + "mco.a26r5.b1", + "mcd.a26r5.b1", + "mb.a26r5.b1", + "mcs.a26r5.b1", + "mb.b26r5.b1", + "mcs.b26r5.b1", + "mco.b26r5.b1", + "mcd.b26r5.b1", + "mb.c26r5.b1", + "mcs.c26r5.b1", + "bpm.26r5.b1", + "mo.26r5.b1", + "mq.26r5.b1", + "ms.26r5.b1", + "mcbv.26r5.b1", + "mb.a27r5.b1", + "mcs.a27r5.b1", + "mco.27r5.b1", + "mcd.27r5.b1", + "mb.b27r5.b1", + "mcs.b27r5.b1", + "mb.c27r5.b1", + "mcs.c27r5.b1", + "bpm.27r5.b1", + "mqs.27r5.b1", + "mq.27r5.b1", + "ms.27r5.b1", + "mcbh.27r5.b1", + "mco.a28r5.b1", + "mcd.a28r5.b1", + "mb.a28r5.b1", + "mcs.a28r5.b1", + "mb.b28r5.b1", + "mcs.b28r5.b1", + "mco.b28r5.b1", + "mcd.b28r5.b1", + "mb.c28r5.b1", + "mcs.c28r5.b1", + "bpm.28r5.b1", + "mo.28r5.b1", + "mq.28r5.b1", + "ms.28r5.b1", + "mcbv.28r5.b1", + "mb.a29r5.b1", + "mcs.a29r5.b1", + "mco.29r5.b1", + "mcd.29r5.b1", + "mb.b29r5.b1", + "mcs.b29r5.b1", + "mb.c29r5.b1", + "mcs.c29r5.b1", + "bpm.29r5.b1", + "mo.29r5.b1", + "mq.29r5.b1", + "mss.29r5.b1", + "mcbh.29r5.b1", + "mco.a30r5.b1", + "mcd.a30r5.b1", + "mb.a30r5.b1", + "mcs.a30r5.b1", + "mb.b30r5.b1", + "mcs.b30r5.b1", + "mco.b30r5.b1", + "mcd.b30r5.b1", + "mb.c30r5.b1", + "mcs.c30r5.b1", + "bpm.30r5.b1", + "mo.30r5.b1", + "mq.30r5.b1", + "ms.30r5.b1", + "mcbv.30r5.b1", + "mb.a31r5.b1", + "mcs.a31r5.b1", + "mco.31r5.b1", + "mcd.31r5.b1", + "mb.b31r5.b1", + "mcs.b31r5.b1", + "mb.c31r5.b1", + "mcs.c31r5.b1", + "bpm.31r5.b1", + "mo.31r5.b1", + "mq.31r5.b1", + "ms.31r5.b1", + "mcbh.31r5.b1", + "mco.a32r5.b1", + "mcd.a32r5.b1", + "mb.a32r5.b1", + "mcs.a32r5.b1", + "mb.b32r5.b1", + "mcs.b32r5.b1", + "mco.b32r5.b1", + "mcd.b32r5.b1", + "mb.c32r5.b1", + "mcs.c32r5.b1", + "bpm.32r5.b1", + "mo.32r5.b1", + "mq.32r5.b1", + "ms.32r5.b1", + "mcbv.32r5.b1", + "mb.a33r5.b1", + "mcs.a33r5.b1", + "mco.33r5.b1", + "mcd.33r5.b1", + "mb.b33r5.b1", + "mcs.b33r5.b1", + "mb.c33r5.b1", + "mcs.c33r5.b1", + "bpm.33r5.b1", + "mo.33r5.b1", + "mq.33r5.b1", + "mss.33r5.b1", + "mcbh.33r5.b1", + "mco.a34r5.b1", + "mcd.a34r5.b1", + "mb.a34r5.b1", + "mcs.a34r5.b1", + "mb.b34r5.b1", + "mcs.b34r5.b1", + "mco.b34r5.b1", + "mcd.b34r5.b1", + "mb.c34r5.b1", + "mcs.c34r5.b1", + "bpm.34r5.b1", + "mo.34r5.b1", + "mq.34r5.b1", + "ms.34l6.b1", + "mcbv.34l6.b1", + "mb.c34l6.b1", + "mcs.c34l6.b1", + "mco.34l6.b1", + "mcd.34l6.b1", + "mb.b34l6.b1", + "mcs.b34l6.b1", + "mb.a34l6.b1", + "mcs.a34l6.b1", + "bpm.33l6.b1", + "mo.33l6.b1", + 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+ "tcapc.6l7.b1", + "bpmwe.5l7.b1", + "mqwa.d5l7.b1", + "mqwa.c5l7.b1", + "mqwa.b5l7.b1", + "mqwa.a5l7.b1", + "bpmw.5l7.b1", + "mcbwv.5l7.b1", + "tcsg.b5l7.b1", + "tcsg.a5l7.b1", + "bpmwe.4l7.b1", + "mqwa.e4l7.b1", + "mqwa.d4l7.b1", + "tcsg.d4l7.b1", + "mqwa.c4l7.b1", + "mqwb.4l7.b1", + "mqwa.b4l7.b1", + "mqwa.a4l7.b1", + "bpmw.4l7.b1", + "mcbwh.4l7.b1", + "tcsg.a4l7.b1", + "tcsg.a4r7.b1", + "mcbwv.4r7.b1", + "bpmw.4r7.b1", + "mqwa.a4r7.b1", + "mqwa.b4r7.b1", + "mqwb.4r7.b1", + "mqwa.c4r7.b1", + "mqwa.d4r7.b1", + "mqwa.e4r7.b1", + "bpmwe.4r7.b1", + "tcsg.b5r7.b1", + "tcsg.d5r7.b1", + "mcbwh.5r7.b1", + "bpmw.5r7.b1", + "mqwa.a5r7.b1", + "mqwa.b5r7.b1", + "mqwa.c5r7.b1", + "mqwa.d5r7.b1", + "bpmwe.5r7.b1", + "tcla.a6r7.b1", + "mbw.a6r7.b1", + "mbw.b6r7.b1", + "tcla.b6r7.b1", + "mbw.c6r7.b1", + "mbw.d6r7.b1", + "tcla.c6r7.b1", + "tcla.d6r7.b1", + "bpmr.6r7.b1", + "mqtlh.a6r7.b1", + "mqtlh.b6r7.b1", + "mqtlh.c6r7.b1", + "mqtlh.d6r7.b1", + "mqtlh.e6r7.b1", + "mqtlh.f6r7.b1", + "mcbcv.6r7.b1", + "tcla.a7r7.b1", + "dfban.7r7.b1", + "bpm_a.7r7.b1", + "mq.7r7.b1", + "mqtli.7r7.b1", + "mcbch.7r7.b1", + "mco.8r7.b1", + "mcd.8r7.b1", + "mb.a8r7.b1", + "mcs.a8r7.b1", + "mb.b8r7.b1", + "mcs.b8r7.b1", + "bpm.8r7.b1", + "mq.8r7.b1", + "mqtli.8r7.b1", + "mcbcv.8r7.b1", + "mco.9r7.b1", + "mcd.9r7.b1", + "mb.a9r7.b1", + "mcs.a9r7.b1", + "mb.b9r7.b1", + "mcs.b9r7.b1", + "bpm.9r7.b1", + "mq.9r7.b1", + "mqtli.a9r7.b1", + "mqtli.b9r7.b1", + "mcbch.9r7.b1", + "mco.10r7.b1", + "mcd.10r7.b1", + "mb.a10r7.b1", + "mcs.a10r7.b1", + "mb.b10r7.b1", + "mcs.b10r7.b1", + "bpm.10r7.b1", + "mq.10r7.b1", + "mqtli.10r7.b1", + "mcbcv.10r7.b1", + "mco.11r7.b1", + "mcd.11r7.b1", + "mb.a11r7.b1", + "mcs.a11r7.b1", + "mb.b11r7.b1", + "mcs.b11r7.b1", + "ledr.11r7.b1", + "bpm.11r7.b1", + "mq.11r7.b1", + "mqtli.11r7.b1", + "ms.11r7.b1", + "mcbh.11r7.b1", + "mco.a12r7.b1", + "mcd.a12r7.b1", + "mb.a12r7.b1", + "mcs.a12r7.b1", + "mb.b12r7.b1", + "mcs.b12r7.b1", + "mco.b12r7.b1", + "mcd.b12r7.b1", + "mb.c12r7.b1", + "mcs.c12r7.b1", + "bpm.12r7.b1", + "mqt.12r7.b1", + "mq.12r7.b1", + "ms.12r7.b1", + "mcbv.12r7.b1", + "mb.a13r7.b1", + "mcs.a13r7.b1", + "mco.13r7.b1", + "mcd.13r7.b1", + "mb.b13r7.b1", + "mcs.b13r7.b1", + "mb.c13r7.b1", + "mcs.c13r7.b1", + "bpm.13r7.b1", + "mqt.13r7.b1", + "mq.13r7.b1", + "ms.13r7.b1", + "mcbh.13r7.b1", + "mco.a14r7.b1", + "mcd.a14r7.b1", + "mb.a14r7.b1", + "mcs.a14r7.b1", + "mb.b14r7.b1", + "mcs.b14r7.b1", + "mco.b14r7.b1", + "mcd.b14r7.b1", + "mb.c14r7.b1", + "mcs.c14r7.b1", + "bpm.14r7.b1", + "mqt.14r7.b1", + "mq.14r7.b1", + "ms.14r7.b1", + "mcbv.14r7.b1", + "mb.a15r7.b1", + "mcs.a15r7.b1", + "mco.15r7.b1", + "mcd.15r7.b1", + "mb.b15r7.b1", + "mcs.b15r7.b1", + "mb.c15r7.b1", + "mcs.c15r7.b1", + "bpm.15r7.b1", + "mqt.15r7.b1", + "mq.15r7.b1", + "ms.15r7.b1", + "mcbh.15r7.b1", + "mco.a16r7.b1", + "mcd.a16r7.b1", + "mb.a16r7.b1", + "mcs.a16r7.b1", + "mb.b16r7.b1", + "mcs.b16r7.b1", + "mco.b16r7.b1", + "mcd.b16r7.b1", + "mb.c16r7.b1", + "mcs.c16r7.b1", + "bpm.16r7.b1", + "mqt.16r7.b1", + "mq.16r7.b1", + "ms.16r7.b1", + "mcbv.16r7.b1", + "mb.a17r7.b1", + "mcs.a17r7.b1", + "mco.17r7.b1", + "mcd.17r7.b1", + "mb.b17r7.b1", + "mcs.b17r7.b1", + "mb.c17r7.b1", + "mcs.c17r7.b1", + "bpm.17r7.b1", + "mqt.17r7.b1", + "mq.17r7.b1", + "ms.17r7.b1", + "mcbh.17r7.b1", + "mco.a18r7.b1", + "mcd.a18r7.b1", + "mb.a18r7.b1", + "mcs.a18r7.b1", + "mb.b18r7.b1", + "mcs.b18r7.b1", + "mco.b18r7.b1", + "mcd.b18r7.b1", + "mb.c18r7.b1", + "mcs.c18r7.b1", + "bpm.18r7.b1", + "mqt.18r7.b1", + "mq.18r7.b1", + "ms.18r7.b1", + "mcbv.18r7.b1", + "mb.a19r7.b1", + "mcs.a19r7.b1", + "mco.19r7.b1", + "mcd.19r7.b1", + "mb.b19r7.b1", + "mcs.b19r7.b1", + "mb.c19r7.b1", + "mcs.c19r7.b1", + "bpm.19r7.b1", + "mqt.19r7.b1", + "mq.19r7.b1", + "ms.19r7.b1", + "mcbh.19r7.b1", + "mco.a20r7.b1", + "mcd.a20r7.b1", + "mb.a20r7.b1", + "mcs.a20r7.b1", + "mb.b20r7.b1", + "mcs.b20r7.b1", + "mco.b20r7.b1", + "mcd.b20r7.b1", + "mb.c20r7.b1", + "mcs.c20r7.b1", + "bpm.20r7.b1", + "mqt.20r7.b1", + "mq.20r7.b1", + "ms.20r7.b1", + "mcbv.20r7.b1", + "mb.a21r7.b1", + "mcs.a21r7.b1", + "mco.21r7.b1", + "mcd.21r7.b1", + "mb.b21r7.b1", + "mcs.b21r7.b1", + "mb.c21r7.b1", + "mcs.c21r7.b1", + "bpm.21r7.b1", + "mqt.21r7.b1", + "mq.21r7.b1", + "ms.21r7.b1", + "mcbh.21r7.b1", + "mco.a22r7.b1", + "mcd.a22r7.b1", + "mb.a22r7.b1", + "mcs.a22r7.b1", + "mb.b22r7.b1", + "mcs.b22r7.b1", + "mco.b22r7.b1", + "mcd.b22r7.b1", + "mb.c22r7.b1", + "mcs.c22r7.b1", + "bpm.22r7.b1", + "mo.22r7.b1", + "mq.22r7.b1", + "ms.22r7.b1", + "mcbv.22r7.b1", + "mb.a23r7.b1", + "mcs.a23r7.b1", + "mco.23r7.b1", + "mcd.23r7.b1", + "mb.b23r7.b1", + "mcs.b23r7.b1", + "mb.c23r7.b1", + "mcs.c23r7.b1", + "bpm.23r7.b1", + "mqs.23r7.b1", + "mq.23r7.b1", + "ms.23r7.b1", + "mcbh.23r7.b1", + "mco.a24r7.b1", + "mcd.a24r7.b1", + "mb.a24r7.b1", + "mcs.a24r7.b1", + "mb.b24r7.b1", + "mcs.b24r7.b1", + "mco.b24r7.b1", + "mcd.b24r7.b1", + "mb.c24r7.b1", + "mcs.c24r7.b1", + "bpm.24r7.b1", + "mo.24r7.b1", + "mq.24r7.b1", + 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"mb.a28l8.b1", + "mcs.a28l8.b1", + "bpm.27l8.b1", + "mqs.27l8.b1", + "mq.27l8.b1", + "ms.27l8.b1", + "mcbh.27l8.b1", + "mco.b27l8.b1", + "mcd.b27l8.b1", + "mb.c27l8.b1", + "mcs.c27l8.b1", + "mb.b27l8.b1", + "mcs.b27l8.b1", + "mco.a27l8.b1", + "mcd.a27l8.b1", + "mb.a27l8.b1", + "mcs.a27l8.b1", + "bpm.26l8.b1", + "mo.26l8.b1", + "mq.26l8.b1", + "ms.26l8.b1", + "mcbv.26l8.b1", + "mb.c26l8.b1", + "mcs.c26l8.b1", + "mco.26l8.b1", + "mcd.26l8.b1", + "mb.b26l8.b1", + "mcs.b26l8.b1", + "mb.a26l8.b1", + "mcs.a26l8.b1", + "bpm.25l8.b1", + "mo.25l8.b1", + "mq.25l8.b1", + "ms.25l8.b1", + "mcbh.25l8.b1", + "mco.b25l8.b1", + "mcd.b25l8.b1", + "mb.c25l8.b1", + "mcs.c25l8.b1", + "mb.b25l8.b1", + "mcs.b25l8.b1", + "mco.a25l8.b1", + "mcd.a25l8.b1", + "mb.a25l8.b1", + "mcs.a25l8.b1", + "bpm.24l8.b1", + "mo.24l8.b1", + "mq.24l8.b1", + "ms.24l8.b1", + "mcbv.24l8.b1", + "mb.c24l8.b1", + "mcs.c24l8.b1", + "mco.24l8.b1", + "mcd.24l8.b1", + "mb.b24l8.b1", + "mcs.b24l8.b1", + "mb.a24l8.b1", + "mcs.a24l8.b1", + "bpm.23l8.b1", + "mqs.23l8.b1", + "mq.23l8.b1", + "ms.23l8.b1", + "mcbh.23l8.b1", + "mco.b23l8.b1", + "mcd.b23l8.b1", + "mb.c23l8.b1", + "mcs.c23l8.b1", + "mb.b23l8.b1", + "mcs.b23l8.b1", + "mco.a23l8.b1", + "mcd.a23l8.b1", + "mb.a23l8.b1", + "mcs.a23l8.b1", + "bpm.22l8.b1", + "mo.22l8.b1", + "mq.22l8.b1", + "ms.22l8.b1", + "mcbv.22l8.b1", + "mb.c22l8.b1", + "mcs.c22l8.b1", + "mco.22l8.b1", + "mcd.22l8.b1", + "mb.b22l8.b1", + "mcs.b22l8.b1", + "mb.a22l8.b1", + "mcs.a22l8.b1", + "bpm.21l8.b1", + "mqt.21l8.b1", + "mq.21l8.b1", + "ms.21l8.b1", + "mcbh.21l8.b1", + "mco.b21l8.b1", + "mcd.b21l8.b1", + "mb.c21l8.b1", + "mcs.c21l8.b1", + "mb.b21l8.b1", + "mcs.b21l8.b1", + "mco.a21l8.b1", + "mcd.a21l8.b1", + "mb.a21l8.b1", + "mcs.a21l8.b1", + "bpm.20l8.b1", + "mqt.20l8.b1", + "mq.20l8.b1", + "ms.20l8.b1", + "mcbv.20l8.b1", + "mb.c20l8.b1", + "mcs.c20l8.b1", + "mco.20l8.b1", + "mcd.20l8.b1", + "mb.b20l8.b1", + "mcs.b20l8.b1", + "mb.a20l8.b1", + "mcs.a20l8.b1", + "bpm.19l8.b1", + "mqt.19l8.b1", + "mq.19l8.b1", + "ms.19l8.b1", + "mcbh.19l8.b1", + "mco.b19l8.b1", + "mcd.b19l8.b1", + "mb.c19l8.b1", + "mcs.c19l8.b1", + "mb.b19l8.b1", + "mcs.b19l8.b1", + "mco.a19l8.b1", + "mcd.a19l8.b1", + "mb.a19l8.b1", + "mcs.a19l8.b1", + "bpm.18l8.b1", + "mqt.18l8.b1", + "mq.18l8.b1", + "ms.18l8.b1", + "mcbv.18l8.b1", + "mb.c18l8.b1", + "mcs.c18l8.b1", + "mco.18l8.b1", + "mcd.18l8.b1", + "mb.b18l8.b1", + "mcs.b18l8.b1", + "mb.a18l8.b1", + "mcs.a18l8.b1", + "bpm.17l8.b1", + "mqt.17l8.b1", + "mq.17l8.b1", + "ms.17l8.b1", + "mcbh.17l8.b1", + "mco.b17l8.b1", + "mcd.b17l8.b1", + "mb.c17l8.b1", + "mcs.c17l8.b1", + "mb.b17l8.b1", + "mcs.b17l8.b1", + "mco.a17l8.b1", + "mcd.a17l8.b1", + "mb.a17l8.b1", + "mcs.a17l8.b1", + "bpm.16l8.b1", + "mqt.16l8.b1", + "mq.16l8.b1", + "ms.16l8.b1", + "mcbv.16l8.b1", + "mb.c16l8.b1", + "mcs.c16l8.b1", + "mco.16l8.b1", + "mcd.16l8.b1", + "mb.b16l8.b1", + "mcs.b16l8.b1", + "mb.a16l8.b1", + "mcs.a16l8.b1", + "bpm.15l8.b1", + "mqt.15l8.b1", + "mq.15l8.b1", + "ms.15l8.b1", + "mcbh.15l8.b1", + "mco.b15l8.b1", + "mcd.b15l8.b1", + "mb.c15l8.b1", + "mcs.c15l8.b1", + "mb.b15l8.b1", + "mcs.b15l8.b1", + "mco.a15l8.b1", + "mcd.a15l8.b1", + "mb.a15l8.b1", + "mcs.a15l8.b1", + "bpm.14l8.b1", + "mqt.14l8.b1", + "mq.14l8.b1", + "ms.14l8.b1", + "mcbv.14l8.b1", + "mb.c14l8.b1", + "mcs.c14l8.b1", + "mco.14l8.b1", + "mcd.14l8.b1", + "mb.b14l8.b1", + "mcs.b14l8.b1", + "mb.a14l8.b1", + "mcs.a14l8.b1", + "bpm.13l8.b1", + "mqt.13l8.b1", + "mq.13l8.b1", + "ms.13l8.b1", + "mcbh.13l8.b1", + "mco.b13l8.b1", + "mcd.b13l8.b1", + "mb.c13l8.b1", + "mcs.c13l8.b1", + "mb.b13l8.b1", + "mcs.b13l8.b1", + "mco.a13l8.b1", + "mcd.a13l8.b1", + "mb.a13l8.b1", + "mcs.a13l8.b1", + "bpm.12l8.b1", + "mqt.12l8.b1", + "mq.12l8.b1", + "ms.12l8.b1", + "mcbv.12l8.b1", + "mb.c12l8.b1", + "mcs.c12l8.b1", + "mco.12l8.b1", + "mcd.12l8.b1", + "mb.b12l8.b1", + "mcs.b12l8.b1", + "mb.a12l8.b1", + "mcs.a12l8.b1", + "bpm.11l8.b1", + "mq.11l8.b1", + "mqtli.11l8.b1", + "ms.11l8.b1", + "mcbh.11l8.b1", + "lebr.11l8.b1", + "mco.11l8.b1", + "mcd.11l8.b1", + "mb.b11l8.b1", + "mcs.b11l8.b1", + "mb.a11l8.b1", + "mcs.a11l8.b1", + "bpm.10l8.b1", + "mqml.10l8.b1", + "mcbcv.10l8.b1", + "mco.10l8.b1", + "mcd.10l8.b1", + "mb.b10l8.b1", + "mcs.b10l8.b1", + "mb.a10l8.b1", + "mcs.a10l8.b1", + "bpm.9l8.b1", + "mqmc.9l8.b1", + "mqm.9l8.b1", + "mcbch.9l8.b1", + "mco.9l8.b1", + "mcd.9l8.b1", + "mb.b9l8.b1", + "mcs.b9l8.b1", + "mb.a9l8.b1", + "mcs.a9l8.b1", + "bpm.8l8.b1", + "mqml.8l8.b1", + "mcbcv.8l8.b1", + "mco.8l8.b1", + "mcd.8l8.b1", + "mb.b8l8.b1", + "mcs.b8l8.b1", + "mb.a8l8.b1", + "mcs.a8l8.b1", + "bpm.7l8.b1", + "mqm.b7l8.b1", + "mqm.a7l8.b1", + "mcbch.7l8.b1", + "dfbao.7l8.b1", + "mcbcv.6l8.b1", + "mqml.6l8.b1", + "mqm.6l8.b1", + "bpmr.6l8.b1", + "tclim.6l8.b1", + "mcbch.b5l8.b1", + "mcbcv.5l8.b1", + "mcbch.a5l8.b1", + "mqm.b5l8.b1", + "mqm.a5l8.b1", + "bpm.5l8.b1", + "bptx.5l8.b1", + "bpmyb.4l8.b1", + "mqy.b4l8.b1", + "mqy.a4l8.b1", + "mcbyv.b4l8.b1", + "mcbyh.4l8.b1", + "mcbyv.a4l8.b1", + "mbrc.4l8.b1", + "bptuh.a4l8.b1", + "tctph.4l8.b1", + "bptdh.a4l8.b1", + "bptuv.a4l8.b1", + "tctpv.4l8.b1", + "bptdv.a4l8.b1", + "bpmwb.4l8.b1", + "tclia.4l8", + "bpmsx.4l8.b1", + "mbx.4l8", + "dfbxg.3l8", + "mcosx.3l8", + "mcox.3l8", + "mcssx.3l8", + "mcbxh.3l8", + "mcbxv.3l8", + "mcsx.3l8", + "mctx.3l8", + "mqxa.3l8", + "mqsx.3l8", + "mqxb.b2l8", + "mcbxh.2l8", + "mcbxv.2l8", + "mqxb.a2l8", + "bpms.2l8.b1", + "mcbxh.1l8", + "mcbxv.1l8", + "mqxa.1l8", + "bpmsw.1l8.b1", + "bpmsw.1l8.b1_doros", + "mbxws.1l8", + "mbxwh.1l8", + "ip8", + "mblw.1r8", + "mbxws.1r8", + "bpmsw.1r8.b1", + "bpmsw.1r8.b1_doros", + "mqxa.1r8", + "mcbxh.1r8", + "mcbxv.1r8", + "bpms.2r8.b1", + "mqxb.a2r8", + "mcbxh.2r8", + "mcbxv.2r8", + "mqxb.b2r8", + "mqsx.3r8", + "mqxa.3r8", + "mcbxh.3r8", + "mcbxv.3r8", + "mcsx.3r8", + "mctx.3r8", + "mcosx.3r8", + "mcox.3r8", + "mcssx.3r8", + "dfbxh.3r8", + "mbx.4r8", + "bpmsx.4r8.b1", + "tcddm.4r8", + "btvst.a4r8", + "bpmwb.4r8.b1", + "mbrc.4r8.b1", + "mcbyh.a4r8.b1", + "mcbyv.4r8.b1", + "mcbyh.b4r8.b1", + "mqy.a4r8.b1", + "mqy.b4r8.b1", + "bpmyb.4r8.b1", + "bpmyb.5r8.b1", + "mqy.a5r8.b1", + "mqy.b5r8.b1", + "mcbyv.a5r8.b1", + "mcbyh.5r8.b1", + "mcbyv.b5r8.b1", + "msia.a6r8.b1", + "msia.b6r8.b1", + "msib.a6r8.b1", + "msib.b6r8.b1", + "msib.c6r8.b1", + "mcbch.6r8.b1", + "mqml.6r8.b1", + "mqm.6r8.b1", + "bpm.6r8.b1", + "dfbap.7r8.b1", + "bpm_a.7r8.b1", + "mqm.a7r8.b1", + "mqm.b7r8.b1", + "mcbcv.7r8.b1", + "mco.8r8.b1", + "mcd.8r8.b1", + "mb.a8r8.b1", + "mcs.a8r8.b1", + "mb.b8r8.b1", + "mcs.b8r8.b1", + "bpm.8r8.b1", + "mqml.8r8.b1", + "mcbch.8r8.b1", + "mco.9r8.b1", + "mcd.9r8.b1", + "mb.a9r8.b1", + "mcs.a9r8.b1", + "mb.b9r8.b1", + "mcs.b9r8.b1", + "bpm.9r8.b1", + "mqmc.9r8.b1", + "mqm.9r8.b1", + "mcbcv.9r8.b1", + "mco.10r8.b1", + "mcd.10r8.b1", + "mb.a10r8.b1", + "mcs.a10r8.b1", + "mb.b10r8.b1", + "mcs.b10r8.b1", + "bpm.10r8.b1", + "mqml.10r8.b1", + "mcbch.10r8.b1", + "mco.11r8.b1", + "mcd.11r8.b1", + "mb.a11r8.b1", + "mcs.a11r8.b1", + "mb.b11r8.b1", + 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+ "mqt.19r8.b1", + "mq.19r8.b1", + "ms.19r8.b1", + "mcbv.19r8.b1", + "mco.a20r8.b1", + "mcd.a20r8.b1", + "mb.a20r8.b1", + "mcs.a20r8.b1", + "mb.b20r8.b1", + "mcs.b20r8.b1", + "mco.b20r8.b1", + "mcd.b20r8.b1", + "mb.c20r8.b1", + "mcs.c20r8.b1", + "bpm.20r8.b1", + "mqt.20r8.b1", + "mq.20r8.b1", + "ms.20r8.b1", + "mcbh.20r8.b1", + "mb.a21r8.b1", + "mcs.a21r8.b1", + "mco.21r8.b1", + "mcd.21r8.b1", + "mb.b21r8.b1", + "mcs.b21r8.b1", + "mb.c21r8.b1", + "mcs.c21r8.b1", + "bpm.21r8.b1", + "mqt.21r8.b1", + "mq.21r8.b1", + "ms.21r8.b1", + "mcbv.21r8.b1", + "mco.a22r8.b1", + "mcd.a22r8.b1", + "mb.a22r8.b1", + "mcs.a22r8.b1", + "mb.b22r8.b1", + "mcs.b22r8.b1", + "mco.b22r8.b1", + "mcd.b22r8.b1", + "mb.c22r8.b1", + "mcs.c22r8.b1", + "bpm.22r8.b1", + "mo.22r8.b1", + "mq.22r8.b1", + "ms.22r8.b1", + "mcbh.22r8.b1", + "mb.a23r8.b1", + "mcs.a23r8.b1", + "mco.23r8.b1", + "mcd.23r8.b1", + "mb.b23r8.b1", + "mcs.b23r8.b1", + "mb.c23r8.b1", + "mcs.c23r8.b1", + "bpm.23r8.b1", + "mqs.23r8.b1", + "mq.23r8.b1", + "ms.23r8.b1", + "mcbv.23r8.b1", + "mco.a24r8.b1", + "mcd.a24r8.b1", + "mb.a24r8.b1", + "mcs.a24r8.b1", + "mb.b24r8.b1", + "mcs.b24r8.b1", + "mco.b24r8.b1", + "mcd.b24r8.b1", + "mb.c24r8.b1", + "mcs.c24r8.b1", + "bpm.24r8.b1", + "mo.24r8.b1", + "mq.24r8.b1", + "ms.24r8.b1", + "mcbh.24r8.b1", + "mb.a25r8.b1", + "mcs.a25r8.b1", + "mco.25r8.b1", + "mcd.25r8.b1", + "mb.b25r8.b1", + "mcs.b25r8.b1", + "mb.c25r8.b1", + "mcs.c25r8.b1", + "bpm.25r8.b1", + "mo.25r8.b1", + "mq.25r8.b1", + "ms.25r8.b1", + "mcbv.25r8.b1", + "mco.a26r8.b1", + "mcd.a26r8.b1", + "mb.a26r8.b1", + "mcs.a26r8.b1", + "mb.b26r8.b1", + "mcs.b26r8.b1", + "mco.b26r8.b1", + "mcd.b26r8.b1", + "mb.c26r8.b1", + "mcs.c26r8.b1", + "bpm.26r8.b1", + "mo.26r8.b1", + "mq.26r8.b1", + "ms.26r8.b1", + "mcbh.26r8.b1", + "mb.a27r8.b1", + "mcs.a27r8.b1", + "mco.27r8.b1", + "mcd.27r8.b1", + "mb.b27r8.b1", + "mcs.b27r8.b1", + "mb.c27r8.b1", + "mcs.c27r8.b1", + "bpm.27r8.b1", + "mqs.27r8.b1", + "mq.27r8.b1", + "ms.27r8.b1", + "mcbv.27r8.b1", + "mco.a28r8.b1", + "mcd.a28r8.b1", + "mb.a28r8.b1", + "mcs.a28r8.b1", + "mb.b28r8.b1", + "mcs.b28r8.b1", + "mco.b28r8.b1", + "mcd.b28r8.b1", + "mb.c28r8.b1", + "mcs.c28r8.b1", + "bpm.28r8.b1", + "mo.28r8.b1", + "mq.28r8.b1", + "ms.28r8.b1", + "mcbh.28r8.b1", + "mb.a29r8.b1", + "mcs.a29r8.b1", + "mco.29r8.b1", + "mcd.29r8.b1", + "mb.b29r8.b1", + "mcs.b29r8.b1", + "mb.c29r8.b1", + "mcs.c29r8.b1", + "bpm.29r8.b1", + "mo.29r8.b1", + "mq.29r8.b1", + "ms.29r8.b1", + "mcbv.29r8.b1", + "mco.a30r8.b1", + "mcd.a30r8.b1", + "mb.a30r8.b1", + "mcs.a30r8.b1", + "mb.b30r8.b1", + "mcs.b30r8.b1", + "mco.b30r8.b1", + "mcd.b30r8.b1", + "mb.c30r8.b1", + "mcs.c30r8.b1", + "bpm.30r8.b1", + "mo.30r8.b1", + "mq.30r8.b1", + "mss.30r8.b1", + "mcbh.30r8.b1", + "mb.a31r8.b1", + "mcs.a31r8.b1", + "mco.31r8.b1", + "mcd.31r8.b1", + "mb.b31r8.b1", + "mcs.b31r8.b1", + "mb.c31r8.b1", + "mcs.c31r8.b1", + "bpm.31r8.b1", + "mo.31r8.b1", + "mq.31r8.b1", + "ms.31r8.b1", + "mcbv.31r8.b1", + "mco.a32r8.b1", + "mcd.a32r8.b1", + 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+ "mb.a25l1.b1", + "mcs.a25l1.b1", + "bpm.24l1.b1", + "mo.24l1.b1", + "mq.24l1.b1", + "ms.24l1.b1", + "mcbh.24l1.b1", + "mb.c24l1.b1", + "mcs.c24l1.b1", + "mco.24l1.b1", + "mcd.24l1.b1", + "mb.b24l1.b1", + "mcs.b24l1.b1", + "mb.a24l1.b1", + "mcs.a24l1.b1", + "bpm.23l1.b1", + "mqs.23l1.b1", + "mq.23l1.b1", + "ms.23l1.b1", + "mcbv.23l1.b1", + "mco.b23l1.b1", + "mcd.b23l1.b1", + "mb.c23l1.b1", + "mcs.c23l1.b1", + "mb.b23l1.b1", + "mcs.b23l1.b1", + "mco.a23l1.b1", + "mcd.a23l1.b1", + "mb.a23l1.b1", + "mcs.a23l1.b1", + "bpm.22l1.b1", + "mo.22l1.b1", + "mq.22l1.b1", + "ms.22l1.b1", + "mcbh.22l1.b1", + "mb.c22l1.b1", + "mcs.c22l1.b1", + "mco.22l1.b1", + "mcd.22l1.b1", + "mb.b22l1.b1", + "mcs.b22l1.b1", + "mb.a22l1.b1", + "mcs.a22l1.b1", + "bpm.21l1.b1", + "mqt.21l1.b1", + "mq.21l1.b1", + "ms.21l1.b1", + "mcbv.21l1.b1", + "mco.b21l1.b1", + "mcd.b21l1.b1", + "mb.c21l1.b1", + "mcs.c21l1.b1", + "mb.b21l1.b1", + "mcs.b21l1.b1", + "mco.a21l1.b1", + "mcd.a21l1.b1", + "mb.a21l1.b1", + "mcs.a21l1.b1", 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"drift_3399/b2", + "dfbaj.7r5.b2", + "drift_3398/b2", + "mcbch.6r5.b2", + "drift_3397/b2", + "mqml.6r5.b2", + "drift_3396/b2", + "bpm.6r5.b2", + "drift_3395/b2", + "tclmc.6r5.b2", + "drift_3394/b2", + "tctph.6r5.b2", + "drift_3393/b2", + "tctpv.6r5.b2", + "drift_3392/b2", + "mcbcv.5r5.b2", + "drift_3391/b2", + "mqml.5r5.b2", + "drift_3390/b2", + "bpmr.5r5.b2", + "drift_3389/b2", + "tclmc.5r5.b2", + "drift_3388/b2", + "bpmya.4r5.b2", + "drift_3387/b2", + "mqy.4r5.b2", + "drift_3386/b2", + "mcbyv.b4r5.b2", + "drift_3385/b2", + "mcbyh.4r5.b2", + "drift_3384/b2", + "mcbyv.a4r5.b2", + "drift_3383/b2", + "tclmb.4r5.b2", + "drift_3382/b2", + "bptqx.4r5.b2", + "drift_3381/b2", + "bpw.4r5.b2", + "drift_3380/b2", + "bptqr.b4r5.b2", + "drift_3379/b2", + "bptqr.a4r5.b2", + "drift_3378/b2", + "acfcav.b4r5.b2", + "drift_3377/b2", + "acfcav.a4r5.b2", + "drift_3376/b2", + "bpmqbcza.4r5.b2", + "drift_3375/b2", + "mcbrdv.4r5.b2", + "drift_3374/b2", + "mcbrdh.4r5.b2", + "drift_3373/b2", + "mbrd.4r5.b2", 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"drift_3347/b2", + "bpmqstzb.a3r5/b2", + "drift_3346/b2", + "mcbxfbv.b2r5/b2", + "mcbxfbh.b2r5/b2", + "drift_3345/b2", + "mqxfb.b2r5/b2", + "drift_3344/b2", + "bpmqstzb.b2r5/b2", + "drift_3343/b2", + "mqxfb.a2r5/b2", + "drift_3342/b2", + "mcbxfbv.a2r5/b2", + "mcbxfbh.a2r5/b2", + "drift_3341/b2", + "bpmqstzb.a2r5/b2", + "drift_3340/b2", + "mqxfa.b1r5/b2", + "drift_3339/b2", + "mqxfa.a1r5/b2", + "drift_3338/b2", + "bpmqstza.1r5/b2", + "drift_3337/b2", + "taxs5c.1r5/b2", + "drift_3336/b2", + "mbcs2.1r5/b2", + "ip5", + "mbcs2.1l5/b2", + "drift_3335/b2", + "taxs5a.1l5/b2", + "drift_3334/b2", + "bpmqstza.1l5/b2", + "drift_3333/b2", + "mqxfa.a1l5/b2", + "drift_3332/b2", + "mqxfa.b1l5/b2", + "drift_3331/b2", + "bpmqstzb.a2l5/b2", + "drift_3330/b2", + "mcbxfbv.a2l5/b2", + "mcbxfbh.a2l5/b2", + "drift_3329/b2", + "mqxfb.a2l5/b2", + "drift_3328/b2", + "bpmqstzb.b2l5/b2", + "drift_3327/b2", + "mqxfb.b2l5/b2", + "drift_3326/b2", + "mcbxfbv.b2l5/b2", + "mcbxfbh.b2l5/b2", + "drift_3325/b2", + "bpmqstzb.a3l5/b2", + "drift_3324/b2", + "mqxfa.a3l5/b2", + "drift_3323/b2", + "mqxfa.b3l5/b2", + "drift_3322/b2", + "bpmqstzb.b3l5/b2", + "drift_3321/b2", + "mcbxfav.3l5/b2", + "mcbxfah.3l5/b2", + "drift_3320/b2", + "mqsxf.3l5/b2", + "drift_3319/b2", + "mctxf.3l5/b2", + "drift_3318/b2", + "mctsxf.3l5/b2", + "drift_3317/b2", + "mcdxf.3l5/b2", + "drift_3316/b2", + "mcdsxf.3l5/b2", + "drift_3315/b2", + "mcoxf.3l5/b2", + "drift_3314/b2", + "mcosxf.3l5/b2", + "drift_3313/b2", + "mcsxf.3l5/b2", + "drift_3312/b2", + "mcssxf.3l5/b2", + "drift_3311/b2", + "lbxfc.4l5.turningpoint", + "drift_3310/b2", + "bpmqstzb.4l5/b2", + "drift_3309/b2", + "mbxf.4l5/b2", + "drift_3308/b2", + "taxn.4l5/b2", + "drift_3307/b2", + "vczkkaia.4l5.c/b2", + "drift_3306/b2", + "bptuh.a4l5.b2", + "drift_3305/b2", + "tclpx.4l5.b2", + "drift_3304/b2", + "bptdh.a4l5.b2", + "drift_3303/b2", + "vczjkiaa.4l5.c/b2", + "drift_3302/b2", + "mbrd.4l5.b2", + "drift_3301/b2", + "mcbrdh.4l5.b2", + "drift_3300/b2", + "mcbrdv.4l5.b2", + "drift_3299/b2", + "bpmqbcza.4l5.b2", + "drift_3298/b2", + "acfcav.a4l5.b2", + "drift_3297/b2", + "acfcav.b4l5.b2", + "drift_3296/b2", + "bpw.4l5.b2", + "drift_3295/b2", + "bptqr.b4l5.b2", + "drift_3294/b2", + "bptqr.a4l5.b2", + "drift_3293/b2", + "tclmb.4l5.b2", + "drift_3292/b2", + "mcbyh.a4l5.b2", + "drift_3291/b2", + "mcbyv.4l5.b2", + "drift_3290/b2", + "mcbyh.b4l5.b2", + "drift_3289/b2", + "mqy.4l5.b2", + "drift_3288/b2", + "bpmya.b4l5.b2", + "drift_3287/b2", + "xrph.a5l5.b2", + "drift_3286/b2", + "xrph.b5l5.b2", + "drift_3285/b2", + "tcl.5l5.b2", + "drift_3284/b2", + "tclmc.5l5.b2", + "drift_3283/b2", + "mcbch.5l5.b2", + "drift_3282/b2", + "mqml.5l5.b2", + "drift_3281/b2", + "bpm.5l5.b2", + "drift_3280/b2", + "xrph.a6l5.b2", + "drift_3279/b2", + "xrpv.a6l5.b2", + "drift_3278/b2", + "xrpv.b6l5.b2", + "drift_3277/b2", + "xrph.b6l5.b2", + "drift_3276/b2", + "tcl.6l5.b2", + "drift_3275/b2", + "tclmc.6l5.b2", + "drift_3274/b2", + "mcbcv.6l5.b2", + "drift_3273/b2", + "mqml.6l5.b2", + "drift_3272/b2", + "bpmr.6l5.b2", + "drift_3271/b2", + "xrph.a7l5.b2", + "drift_3270/b2", + "xrph.b7l5.b2", + "drift_3269/b2", + "dfbai.7l5.b2", + "drift_3268/b2", + "mcbch.7l5.b2", + "drift_3267/b2", + "mqm.a7l5.b2", + "drift_3266/b2", + "mqm.b7l5.b2", + "drift_3265/b2", + "bpm.7l5.b2", + "drift_3264/b2", + "e.ds.l5.b2", + "drift_3263/b2", + "mcs.a8l5.b2", + "drift_3262/b2", + "mb.a8l5.b2", + "drift_3261/b2", + "mcs.b8l5.b2", + "drift_3260/b2", + "mb.b8l5.b2", + "drift_3259/b2", + "mcd.8l5.b2", + "drift_3258/b2", + "mco.8l5.b2", + "drift_3257/b2", + "mcbcv.8l5.b2", + "drift_3256/b2", + "mqml.8l5.b2", + "drift_3255/b2", + "bpm.8l5.b2", + "drift_3254/b2", + "mcs.a9l5.b2", + "drift_3253/b2", + "mb.a9l5.b2", + "drift_3252/b2", + "mcs.b9l5.b2", + "drift_3251/b2", + "mb.b9l5.b2", + "drift_3250/b2", + "mcd.9l5.b2", + "drift_3249/b2", + "mco.9l5.b2", + "drift_3248/b2", + "mcbch.9l5.b2", + "drift_3247/b2", + "mqm.9l5.b2", + "drift_3246/b2", + "mqmc.9l5.b2", + "drift_3245/b2", + "bpm.9l5.b2", + 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"mcd.12l4.b2", + "drift_2402/b2", + "mco.12l4.b2", + "drift_2401/b2", + "mcs.c12l4.b2", + "drift_2400/b2", + "mb.c12l4.b2", + "drift_2399/b2", + "mcbh.12l4.b2", + "drift_2398/b2", + "ms.12l4.b2", + "drift_2397/b2", + "mq.12l4.b2", + "drift_2396/b2", + "mqt.12l4.b2", + "drift_2395/b2", + "bpm.12l4.b2", + "drift_2394/b2", + "mcs.a13l4.b2", + "drift_2393/b2", + "mb.a13l4.b2", + "drift_2392/b2", + "mcd.a13l4.b2", + "drift_2391/b2", + "mco.a13l4.b2", + "drift_2390/b2", + "mcs.b13l4.b2", + "drift_2389/b2", + "mb.b13l4.b2", + "drift_2388/b2", + "mcs.c13l4.b2", + "drift_2387/b2", + "mb.c13l4.b2", + "drift_2386/b2", + "mcd.b13l4.b2", + "drift_2385/b2", + "mco.b13l4.b2", + "drift_2384/b2", + "mcbv.13l4.b2", + "drift_2383/b2", + "ms.13l4.b2", + "drift_2382/b2", + "mq.13l4.b2", + "drift_2381/b2", + "mqt.13l4.b2", + "drift_2380/b2", + "bpm.13l4.b2", + "drift_2379/b2", + "s.ds.l4.b2", + "drift_2378/b2", + "mcs.a14l4.b2", + "drift_2377/b2", + "mb.a14l4.b2", + "drift_2376/b2", + "mcs.b14l4.b2", + 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"drift_1743/b2", + "mcd.10r3.b2", + "drift_1742/b2", + "mco.10r3.b2", + "drift_1741/b2", + "mcbcv.9r3.b2", + "drift_1740/b2", + "mqtli.b9r3.b2", + "drift_1739/b2", + "mqtli.a9r3.b2", + "drift_1738/b2", + "mq.9r3.b2", + "drift_1737/b2", + "bpm.9r3.b2", + "drift_1736/b2", + "mcs.b9r3.b2", + "drift_1735/b2", + "mb.b9r3.b2", + "drift_1734/b2", + "mcs.a9r3.b2", + "drift_1733/b2", + "mb.a9r3.b2", + "drift_1732/b2", + "mcd.9r3.b2", + "drift_1731/b2", + "mco.9r3.b2", + "drift_1730/b2", + "mcbch.8r3.b2", + "drift_1729/b2", + "mqtli.8r3.b2", + "drift_1728/b2", + "mq.8r3.b2", + "drift_1727/b2", + "bpm.8r3.b2", + "drift_1726/b2", + "mcs.b8r3.b2", + "drift_1725/b2", + "mb.b8r3.b2", + "drift_1724/b2", + "mcs.a8r3.b2", + "drift_1723/b2", + "mb.a8r3.b2", + "drift_1722/b2", + "mcd.8r3.b2", + "drift_1721/b2", + "mco.8r3.b2", + "drift_1720/b2", + "s.ds.r3.b2", + "drift_1719/b2", + "mcbcv.7r3.b2", + "drift_1718/b2", + "mqtli.7r3.b2", + "drift_1717/b2", + "mq.7r3.b2", + "drift_1716/b2", + "bpm_a.7r3.b2", + "drift_1715/b2", + "dfbaf.7r3.b2", + "drift_1714/b2", + "bpm.6r3.b2", + "drift_1713/b2", + "mqtlh.f6r3.b2", + "drift_1712/b2", + "mqtlh.e6r3.b2", + "drift_1711/b2", + "mqtlh.d6r3.b2", + "drift_1710/b2", + "mqtlh.c6r3.b2", + "drift_1709/b2", + "mqtlh.b6r3.b2", + "drift_1708/b2", + "mqtlh.a6r3.b2", + "drift_1707/b2", + "mcbch.6r3.b2", + "drift_1706/b2", + "bpmwc.6r3.b2", + "drift_1705/b2", + "mbw.f6r3.b2", + "drift_1704/b2", + "mbw.e6r3.b2", + "drift_1703/b2", + "mbw.d6r3.b2", + "drift_1702/b2", + "tcp.6r3.b2", + "drift_1701/b2", + "tcapa.6r3.b2", + "drift_1700/b2", + "mbw.c6r3.b2", + "drift_1699/b2", + "mbw.b6r3.b2", + "drift_1698/b2", + "mbw.a6r3.b2", + "drift_1697/b2", + "bpmwe.a5r3.b2", + "drift_1696/b2", + "tcapd.5r3.b2", + "drift_1695/b2", + "mqwa.e5r3.b2", + "drift_1694/b2", + "mqwa.d5r3.b2", + "drift_1693/b2", + "tcsg.5r3.b2", + "drift_1692/b2", + "mqwa.c5r3.b2", + "drift_1691/b2", + "mqwb.5r3.b2", + "drift_1690/b2", + "mqwa.b5r3.b2", + "drift_1689/b2", + "mqwa.a5r3.b2", + "drift_1688/b2", + "bpmw.5r3.b2", + "drift_1687/b2", + "mcbwv.5r3.b2", + "drift_1686/b2", + "bpmwe.4r3.b2", + "drift_1685/b2", + "mqwa.e4r3.b2", + "drift_1684/b2", + "mqwa.d4r3.b2", + "drift_1683/b2", + "mqwa.c4r3.b2", + "drift_1682/b2", + "mqwb.4r3.b2", + "drift_1681/b2", + "mqwa.b4r3.b2", + "drift_1680/b2", + "mqwa.a4r3.b2", + "drift_1679/b2", + "bpmw.4r3.b2", + "drift_1678/b2", + "mcbwh.4r3.b2", + "drift_1677/b2", + "ip3", + "drift_1676/b2", + "tccp.4l3.b2", + "drift_1675/b2", + "xrpv.a4l3.b2", + "drift_1674/b2", + "xrpv.b4l3.b2", + "drift_1673/b2", + "mcbwv.4l3.b2", + "drift_1672/b2", + "bpmw.4l3.b2", + "drift_1671/b2", + "mqwa.a4l3.b2", + "drift_1670/b2", + "mqwa.b4l3.b2", + "drift_1669/b2", + "mqwb.4l3.b2", + "drift_1668/b2", + "mqwa.c4l3.b2", + "drift_1667/b2", + "mqwa.d4l3.b2", + "drift_1666/b2", + "tcsg.4l3.b2", + "drift_1665/b2", + "mqwa.e4l3.b2", + "drift_1664/b2", + "bpmwe.4l3.b2", + "drift_1663/b2", + "tcsg.a5l3.b2", + "drift_1662/b2", + "tcsg.b5l3.b2", + "drift_1661/b2", 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b/test_data/hllhc19_apertures/make_files.py new file mode 100644 index 000000000..2f724c492 --- /dev/null +++ b/test_data/hllhc19_apertures/make_files.py @@ -0,0 +1,203 @@ +import xtrack as xt +from xtrack.aperture import Aperture +from xobjects import ContextCpu +from lhcoptics import LHCOptics +import matplotlib.pyplot as plt +import numpy as np +import json +from pathlib import Path +from xdeps import Table +from xobjects.general import allclose_with_outliers + +base_dir = Path(__file__).resolve().parent +acc_models_dir = base_dir / "acc-models-lhc" +plot = False + +lhc = xt.load(acc_models_dir / "xsuite" / "lhc_aperture.json") +lhc.vars.load(acc_models_dir / "strengths" / "cycle_round_v0" / "opt_6000.madx") +lhc.set_particle_ref(p0c=450e9) + +lhc.vars.update({ + 'on_sep1v': 2, + 'on_x1hs': 295, + 'on_sep5h': 2, + 'on_x5vs': 295, + 'on_sep2h': -3.5, + 'on_x2v': 170, + 'on_a2h': 40, + 'on_alice': 7000/450, + 'on_sep8v': -3.5, + 'on_x8h': -170, + 'on_a8v': -40, + 'on_lhcb': 7000/450, +}) + +opt = LHCOptics.from_xsuite(lhc) + +mad = opt.make_madx_model() +apm = mad.get_ap_irs() + +# load in metadata +lhc.b1.metadata["aperture_offsets"] = {} +lhc.b2.metadata["aperture_offsets"] = {} +for ipn in range(1, 9): + for beam in "14": + tfs = Table.from_tfs(base_dir / "temp" / f"offset.ip{ipn}.b{beam}.tfs") + line = lhc.b1 if beam == "1" else lhc.b2 + tfs_data = tfs._data.copy() + tfs_data['name'] = [name for name in tfs_data['name']] # clear StringArray + line.metadata["aperture_offsets"][f"ip{ipn}"] = tfs_data + +lhc.to_json(base_dir / "lhc_aperture.json") + +context = ContextCpu(omp_num_threads='auto') + +lines = { + "b1": lhc.b1, + #"b2": lhc.b2, +} +apertures = { + beam: Aperture.from_line_with_madx_metadata( + line, + num_profile_points=100, + include_offsets=True, + context=context, + ) + for beam, line in lines.items() +} + +apertures['b1'].to_json(base_dir / "aperture_model_b1.json") +apertures['b1'] = Aperture.from_json(base_dir / "aperture_model_b1.json", lhc.b1) + +line_tables = {beam: line.get_table() for beam, line in lines.items()} + +def _get_nearest_element_name(line_table, s_position): + idx = np.searchsorted(np.asarray(line_table.s, dtype=float), s_position, side="right") - 1 + idx = int(np.clip(idx, 0, len(line_table.name) - 1)) + return line_table.name[idx] + + +for ir_name in sorted(apm): + ir = apm[ir_name] + beam = ir_name[-2:] + + if beam == 'b2': + continue + + line = lines[beam] + line_table = line_tables[beam] + aperture = apertures[beam] + + aperture.halo_params.update( + { + "emitx_norm": ir.exn, + "emity_norm": ir.eyn, + "delta_rms": ir.dp_bucket_size, + "tol_co": ir.co_radius, + "tol_disp": ir.paras_dx, # MAD-X has different settings for x/y + "tol_disp_ref_dx": ir.dqf, + "tol_disp_ref_beta": ir.betaqfx, + "tol_energy": 0.0, # TO CHECK + "tol_beta_beating": ir.beta_beating, # MAD-X has different settings for x/y + } + ) + reference_halo_params = { + key: float(aperture.halo_params[key]) + for key in ( + "emitx_norm", + "emity_norm", + "delta_rms", + "tol_co", + "tol_disp", + "tol_disp_ref_dx", + "tol_disp_ref_beta", + "tol_energy", + "tol_beta_beating", + "halo_x", + "halo_y", + "halo_r", + "halo_primary", + ) + } + + ip_name = f"ip{ir_name[2]}" + s_ip_m = ir.rows[f"{ip_name}.*"].s[0] + s_ip_x = line_table.rows[f"{ip_name}.*"].s[0] + s_local = np.asarray(ir.s - s_ip_m, dtype=float) + s_positions = np.mod(s_local + s_ip_x, line.get_length()) + order = np.argsort(s_positions) + undo_order = np.empty_like(order) + undo_order[order] = np.arange(len(order)) + + n1_table, _ = aperture.get_aperture_sigmas_at_s( + s_positions=s_positions[order], + method="rays", + ) + sigmas = np.asarray(n1_table.n1[undo_order], dtype=float) + s_positions_ring = np.asarray(n1_table.s[undo_order], dtype=float) + + min_idx = int(np.argmin(sigmas)) + min_n1 = float(sigmas[min_idx]) + min_s = float(s_positions_ring[min_idx]) + element_name = ( + ir.name[min_idx] + if hasattr(ir, "name") and len(ir.name) == len(sigmas) + else _get_nearest_element_name(line_table, min_s) + ) + print(f"{ir_name}: min n1={min_n1:.3f} at {element_name} (s={min_s:.6f} m)") + + # Clean up MAD-X data + n1_madx = np.where(ir.n1 >= 7000, np.nan, ir.n1) # put extreme values to nan + valid_mask = np.isfinite(n1_madx) + non_cont_mask = valid_mask & np.r_[True, ~valid_mask[:-1]] & np.r_[~valid_mask[1:], True] + n1_madx[non_cont_mask] = np.nan # put non continuous values to nan + + n1_xt = sigmas + + absdiffs = np.abs(n1_madx - n1_xt) + reldiffs = np.abs((n1_madx - n1_xt) / n1_madx) + mask = (reldiffs > 0.01) & np.isfinite(reldiffs) + lines_where = s_local[mask] + no_outliers = len(lines_where) + print(f"==> Outliers: {no_outliers}") + + + print(f"MAD-X vs Xtrack: abs diff = {np.nanmax(absdiffs)}, rel diff = {np.nanmax(reldiffs)}") + sorted_abs, sorted_rel = np.sort(absdiffs[np.isfinite(absdiffs)]), np.sort(reldiffs[np.isfinite(reldiffs)]) + if no_outliers > 0: + print(f"MAD-X vs Xtrack: abs mean diff = {np.nanmax(sorted_abs[:-no_outliers])}, rel mean diff = {np.nanmax(sorted_rel[:-no_outliers])}") + else: + print("No outliers") + + # 99% of points within 1% tolerance + assert allclose_with_outliers(n1_madx[np.isfinite(n1_madx)], n1_xt[np.isfinite(n1_madx)], rtol=0.01, max_outliers=int(len(n1_madx) / 100)) + + with open(base_dir / f"{ir_name}.json", "w") as fid: + json.dump( + { + "beam": beam, + "ip_name": ip_name, + "s_local": np.asarray(s_local, dtype=float).tolist(), + "n1_madx": np.asarray(n1_madx, dtype=float).tolist(), + "halo_params": reference_halo_params, + }, + fid, + indent=2, + ) + + if plot: + plot_order = np.argsort(s_local) + s_plot = s_local[plot_order] + n1_madx_plot = n1_madx[plot_order] + n1_xt_plot = n1_xt[plot_order] + lines_where_plot = np.sort(lines_where) + + plt.figure() + plt.plot(s_plot, n1_madx_plot, label='n1 (MAD-X)') + plt.plot(s_plot, n1_xt_plot, label='n1 (Xtrack)') + [plt.axvline(l, linestyle='--', c='k') for l in lines_where_plot] + + plt.xlabel(f's - {ip_name} [m]') + plt.ylabel(r'max beam size [$\sigma$]') + plt.legend() + plt.show() diff --git a/tests/conftest.py b/tests/conftest.py index ca1397cbe..ac0dec929 100644 --- a/tests/conftest.py +++ b/tests/conftest.py @@ -57,3 +57,10 @@ def temp_context_default_mod(module_mocker): """Module scope version of `temp_context_default_func` fixture.""" module_mocker.patch.object(xo.typeutils, "context_default", xo.ContextCpu()) yield + + +@pytest.fixture(scope="function") +def sandbox_cwd(tmp_path): + """Temporarily run the test with cwd set to the pytest tmp_path.""" + with contextlib.chdir(tmp_path): + yield tmp_path diff --git a/tests/test_aperture_builder.py b/tests/test_aperture_builder.py new file mode 100644 index 000000000..2406e5b40 --- /dev/null +++ b/tests/test_aperture_builder.py @@ -0,0 +1,125 @@ +import numpy as np + +import xobjects as xo +import xtrack as xt +from xobjects.test_helpers import for_all_test_contexts + +from xtrack.aperture.builder import ApertureBuilder +from xtrack.aperture.structures import Circle +from xtrack.aperture.transform import matrix_to_transform, transform_matrix + + +@for_all_test_contexts(excluding=("ContextPyopencl", "ContextCupy")) +def test_aperture_builder_builds_model_with_expected_ordering(test_context): + env = xt.Environment() + drift = env.new("drift", xt.Drift, length=1.0) + line = env.new_line(name="line", components=[drift, drift]) + + builder = ApertureBuilder(line) + builder.new_profile("rect0", "Rectangle", tol_r=0.1, tol_x=0.2, tol_y=0.3, half_width=2.0, half_height=1.0) + builder.new_profile("circ0", "Circle", radius=3.0) + + type0 = builder.new_pipe( + "type0", + curvature=0.5, + positions=[ + builder.place_profile("rect0", shift_s=5.0, shift_x=1.0), + builder.place_profile("circ0", shift_s=1.0, rot_s_rad=0.4), + ], + ) + type0.place_profile("rect0", shift_s=3.0, shift_y=-2.0, rot_x_rad=0.2) + + builder.place_pipe("install0", "type0", "drift::0") + builder.place_pipe("install1", "type0", "drift::1", shift_x=0.3, shift_z=0.4, rot_z_rad=0.5) + + model = builder.build(context=test_context) + + assert model.profile_names == ["rect0", "circ0"] + assert model.pipe_names == ["type0"] + assert model.pipe_position_names == ["install0", "install1"] + + built_type = model.pipes[0] + assert built_type.curvature == 0.5 + xo.assert_allclose([pp.shift_s for pp in built_type.positions], [1.0, 3.0, 5.0], atol=0, rtol=0) + xo.assert_allclose([pp.profile_index for pp in built_type.positions], [1, 0, 0], atol=0, rtol=0) + xo.assert_allclose([pp.shift_x for pp in built_type.positions], [0.0, 0.0, 1.0], atol=0, rtol=0) + xo.assert_allclose([pp.shift_y for pp in built_type.positions], [0.0, -2.0, 0.0], atol=0, rtol=0) + xo.assert_allclose([pp.rot_x_rad for pp in built_type.positions], [0.0, 0.2, 0.0], atol=0, rtol=0) + xo.assert_allclose([pp.rot_s_rad for pp in built_type.positions], [0.4, 0.0, 0.0], atol=0, rtol=0) + + assert model.pipe_positions[0].survey_reference_name == "drift::0" + assert model.pipe_positions[0].survey_index == list(line.survey().name).index("drift::0") + assert model.pipe_positions[1].survey_reference_name == "drift::1" + assert model.pipe_positions[1].survey_index == list(line.survey().name).index("drift::1") + + install1_transform = matrix_to_transform(model.pipe_positions[1].transformation.to_nplike()) + xo.assert_allclose(install1_transform.shift_x, 0.3, atol=1e-15, rtol=0) + xo.assert_allclose(install1_transform.shift_y, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(install1_transform.shift_z, 0.4, atol=1e-15, rtol=0) + xo.assert_allclose(install1_transform.rot_y_rad, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(install1_transform.rot_x_rad, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(install1_transform.rot_z_rad, 0.5, atol=1e-15, rtol=0) + + +@for_all_test_contexts(excluding=("ContextPyopencl", "ContextCupy")) +def test_aperture_builder_place_type_accepts_explicit_matrix(test_context): + env = xt.Environment() + drift = env.new("drift", xt.Drift, length=1.0) + line = env.new_line(name="line", components=[drift]) + + builder = ApertureBuilder(line) + builder.new_profile("circ0", "Circle", radius=1.0) + builder.new_pipe("type0", positions=[builder.place_profile("circ0", shift_s=0.2)]) + + matrix = transform_matrix(shift_x=1.0, shift_y=-2.0, shift_z=3.0, rot_y_rad=0.1, rot_x_rad=-0.2, rot_z_rad=0.3) + builder.place_pipe("install0", "type0", "drift", transformation=matrix) + + model = builder.build(context=test_context) + built_transform = matrix_to_transform(model.pipe_positions[0].transformation.to_nplike()) + + xo.assert_allclose(built_transform.shift_x, 1.0, atol=1e-15, rtol=0) + xo.assert_allclose(built_transform.shift_y, -2.0, atol=1e-15, rtol=0) + xo.assert_allclose(built_transform.shift_z, 3.0, atol=1e-15, rtol=0) + xo.assert_allclose(built_transform.rot_y_rad, 0.1, atol=1e-15, rtol=0) + xo.assert_allclose(built_transform.rot_x_rad, -0.2, atol=1e-15, rtol=0) + xo.assert_allclose(built_transform.rot_z_rad, 0.3, atol=1e-15, rtol=0) + + +def test_aperture_builder_place_type_rejects_mixed_transform_inputs(): + env = xt.Environment() + drift = env.new("drift", xt.Drift, length=1.0) + line = env.new_line(name="line", components=[drift]) + + builder = ApertureBuilder(line) + builder.new_profile("circ0", "Circle", radius=1.0) + builder.new_pipe("type0", positions=[builder.place_profile("circ0")]) + + try: + builder.place_pipe( + "install0", + "type0", + "drift", + transformation=np.identity(4), + shift_x=1.0, + ) + except ValueError as error: + assert "either `transformation` or transform components" in str(error) + else: + raise AssertionError("Expected place_pipe to reject mixed transform inputs.") + + +@for_all_test_contexts(excluding=("ContextPyopencl", "ContextCupy")) +def test_aperture_builder_accepts_shape_class_input(test_context): + env = xt.Environment() + drift = env.new("drift", xt.Drift, length=1.0) + line = env.new_line(name="line", components=[drift]) + + builder = ApertureBuilder(line) + builder.new_profile("circ0", Circle, radius=1.5) + builder.new_pipe("type0", positions=[builder.place_profile("circ0")]) + builder.place_pipe("install0", "type0", "drift") + + model = builder.build(context=test_context) + + assert model.profile_names == ["circ0"] + xo.assert_allclose(model.profiles[0].shape.radius, 1.5, atol=1e-15, rtol=0) diff --git a/tests/test_aperture_model.py b/tests/test_aperture_model.py new file mode 100644 index 000000000..4445d9ce7 --- /dev/null +++ b/tests/test_aperture_model.py @@ -0,0 +1,2013 @@ +import json +from itertools import zip_longest +from pathlib import Path + +import numpy as np +import pytest + +import xobjects as xo +import xtrack as xt +from cpymad.madx import Madx +from xobjects.general import allclose_with_outliers +from xobjects.test_helpers import for_all_test_contexts, requires_context +from xtrack.aperture.aperture import Aperture, ProfilesView, TypePositionsView, TypesView +from xtrack.aperture.structures import ( + ApertureModel, Pipe, Circle, Ellipse, FloatType, Profile, + ProfilePosition, Rectangle, RectEllipse, SurveyData, PipePosition +) +from xtrack.aperture.transform import matrix_to_transform, transform_matrix + +TOY_RING_SEQUENCE = """ + ! Toy Ring, 4 arcs + + l_arc = 3; ! length of the arc + l_quad = 0.3; ! length of the quads + l_drift = 1; ! length of the straight section drifts + + qf = 0.1; ! qf strength + qd = -0.7; ! qd strength + angle_arc = pi / 2; ! arcs 90° + + mb: sbend, angle = angle_arc, l = l_arc, apertype=circle, aperture={0.1}, aper_offset={0.003, 0}; + mqf: quadrupole, k1 = qf, l = l_quad, apertype=rectangle, aperture={0.08, 0.04}; + mqd: quadrupole, k1 = qd, l = l_quad, apertype=ellipse, aperture={0.04, 0.08}; + ds: drift, l = l_drift; + ap_ds: marker, apertype=rectellipse, aperture={0.022, 0.01715, 0.022, 0.022}, aper_tol={9e-4, 8e-4, 5e-4}; + dsa: line = (ap_ds, ds, ap_ds); + + ss_f: line = (dsa, mqf, dsa); + ss_d: line = (dsa, mqd, dsa); + + ring: line = (ss_f, mb, ss_d, mb, ss_f, mb, ss_d, mb); + + beam, particle=proton, pc=1.2e9; + use, period=ring; +""" + + +def _polygon_area(points): + x = points[:, 0] + y = points[:, 1] + return 0.5 * abs(np.dot(x[:-1], y[1:]) + x[-1] * y[0] - np.dot(y[:-1], x[1:]) - y[-1] * x[0]) + + +TEST_DATA_DIR = Path(__file__).resolve().parent.parent / 'test_data' + + +@pytest.fixture(scope='module') +def context(): + return xo.ContextCpu() + + +@pytest.mark.parametrize( + 'kwargs', + [ + {}, + {'shift_x': 1.2, 'shift_y': -0.3, 'shift_z': 4.5}, + {'rot_y_rad': 0.2, 'rot_x_rad': -0.1, 'rot_z_rad': 0.3}, + {'shift_x': -1.5, 'shift_y': 2.0, 'shift_z': 0.7, 'rot_y_rad': 0.25, 'rot_x_rad': -0.15, 'rot_z_rad': 0.35}, + ], +) +def test_matrix_to_transform_roundtrip(kwargs): + matrix = transform_matrix(**kwargs) + out = matrix_to_transform(matrix) + for key, value in { + 'shift_x': 0.0, + 'shift_y': 0.0, + 'shift_z': 0.0, + 'rot_y_rad': 0.0, + 'rot_x_rad': 0.0, + 'rot_z_rad': 0.0, + **kwargs, + }.items(): + xo.assert_allclose(getattr(out, key), value, atol=1e-14, rtol=0) + + +@pytest.fixture(scope="module") +def kernels(context): + Profile.compile_class_kernels(context, only_if_needed=True) + SurveyData.compile_class_kernels(context, only_if_needed=True) + ApertureModel.compile_class_kernels(context, only_if_needed=True) + return context.kernels + + +def _expected_profile_bounds_from_table(table_rows, *, skip_row): + expected = [] + for row in table_rows: + if skip_row(row): + continue + expected.append((row.s_start, row.name)) + if not np.isclose(row.s_end, row.s_start): + expected.append((row.s_end, row.name)) + return expected + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_from_line_with_aperture_type_bounds(test_context): + mad = Madx(stdout=None) + mad.input(TOY_RING_SEQUENCE) + env = xt.Environment.from_madx(madx=mad, enable_layout_data=True) + ring = env['ring'] + + aperture_model = Aperture.from_line_with_madx_metadata(ring, context=test_context) + bounds_table = aperture_model.get_bounds_table() + table_rows = ring.get_table().cols['s_start', 's_end', 'name', 'element_type'].rows[1:-2].rows # trim MAD-X endpoints + expected = _expected_profile_bounds_from_table( + table_rows, + skip_row=lambda row: row.element_type == 'Drift', + ) + + assert len(bounds_table.name) == len(expected) + for idx, ((expected_s, expected_name), bound_s, pipe_name) in enumerate( + zip(expected, bounds_table.s, bounds_table.pipe_name) + ): + xo.assert_allclose(bound_s, expected_s, atol=1e-6) + assert expected_name.startswith(pipe_name), f'mismatch at bound row {idx}' + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_zigzag_iterator_wrap_and_bounds(test_context): + ZIGZAG_TEST_SOURCE = r""" + #include "xtrack/aperture/headers/zigzag_iterate.h" + + void fill_zigzag_sequence( + uint32_t start, + uint32_t upper_bound, + int8_t wrap, + int32_t* out, + uint32_t len_out + ) { + ZigZagIterator it = zigzag_iterator_new(start, upper_bound, wrap); + + uint32_t i_out = 0; + if (len_out == 0) return; + + out[i_out++] = it.index; + while (i_out < len_out && zigzag_iterator_next(&it)) { + out[i_out++] = it.index; + } + + while (i_out < len_out) { + out[i_out++] = -1; + } + } + """ + + test_context.add_kernels( + sources=[ZIGZAG_TEST_SOURCE], + kernels={ + 'fill_zigzag_sequence': xo.Kernel( + c_name='fill_zigzag_sequence', + args=[ + xo.Arg(xo.UInt32, name='start'), + xo.Arg(xo.UInt32, name='upper_bound'), + xo.Arg(xo.Int8, name='wrap'), + xo.Arg(xo.Int32, pointer=True, name='out'), + xo.Arg(xo.UInt32, name='len_out'), + ], + ), + }, + ) + zigzag_test_kernel = test_context.kernels['fill_zigzag_sequence'] + + # Test odd cases + out = np.zeros(5, dtype=np.int32) + + zigzag_test_kernel(start=4, upper_bound=5, wrap=1, out=out, len_out=len(out)) + assert all(out == [4, 0, 3, 1, 2]) + + zigzag_test_kernel(start=2, upper_bound=5, wrap=0, out=out, len_out=len(out)) + assert all(out == [2, 3, 1, 4, 0]) + + # Test even cases + out = np.zeros(6, dtype=np.int32) + + zigzag_test_kernel(start=4, upper_bound=6, wrap=1, out=out, len_out=len(out)) + assert all(out == [4, 5, 3, 0, 2, 1]) + + zigzag_test_kernel(start=4, upper_bound=6, wrap=0, out=out, len_out=len(out)) + assert all(out == [4, 5, 3, 2, 1, 0]) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_from_line_with_associated_apertures_type_bounds(test_context): + env = xt.load(string=TOY_RING_SEQUENCE, format='madx', install_limits=False) + env.set_particle_ref('proton', p0c=1.2e9) + ring = env['ring'] + + aperture_model = Aperture.from_line_with_associated_apertures(ring, context=test_context) + bounds_table = aperture_model.get_bounds_table() + table_rows = ring.get_table().cols['s_start', 's_end', 'name', 'element_type'].rows[:-1].rows + expected = _expected_profile_bounds_from_table( + table_rows, + skip_row=lambda row: row.element_type == 'Drift', + ) + + assert len(bounds_table.name) == len(expected) + for idx, ((expected_s, expected_name), bound_s, pipe_name) in enumerate( + zip(expected, bounds_table.s, bounds_table.pipe_name) + ): + xo.assert_allclose(bound_s, expected_s, atol=1e-6) + prototype_name, suffix = expected_name.split('::') + _ = int(suffix) + assert pipe_name.startswith(prototype_name), f'mismatch at bound row {idx}' + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_from_line_with_limits_type_bounds(test_context): + env = xt.load(string=TOY_RING_SEQUENCE, format='madx', install_limits=True) + env.set_particle_ref('proton', p0c=1.2e9) + ring = env['ring'] + + aperture_model = Aperture.from_line_with_limits(ring, context=test_context) + bounds_table = aperture_model.get_bounds_table() + + expected = _expected_profile_bounds_from_table( + ring.get_table().rows, + skip_row=lambda row: not row.element_type.startswith('Limit'), + ) + + assert len(bounds_table.name) == len(expected) + for idx, ((expected_s, expected_name), bound_s, pipe_name) in enumerate( + zip(expected, bounds_table.s, bounds_table.pipe_name) + ): + xo.assert_allclose(bound_s, expected_s, atol=1e-6) + assert expected_name.startswith(pipe_name), f'mismatch at bound row {idx}' + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_bounds_table_for_perfect_overlap_interval(test_context): + env = xt.load(string=TOY_RING_SEQUENCE, format='madx', install_limits=False) + env.set_particle_ref('proton', p0c=1.2e9) + ring = env['ring'] + + aperture_model = Aperture.from_line_with_associated_apertures(ring, context=test_context) + + bounds_table = aperture_model.get_bounds_table() + mask = ( + (bounds_table.pipe_name == 'mqf_aper') + & (bounds_table.s >= 1.0 - 1e-12) + & (bounds_table.s <= 1.3 + 1e-12) + ) + rows = bounds_table.rows[mask] + + assert len(rows) == 2 + xo.assert_allclose(rows.s, [1.0, 1.3], atol=1e-12) + assert list(rows.profile_name) == ['mqf_aper', 'mqf_aper'] + assert list(rows.shape) == ['Rectangle', 'Rectangle'] + assert all(sp['half_width'] == 0.08 for sp in rows.shape_param) + assert all(sp['half_height'] == 0.04 for sp in rows.shape_param) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_model_views(test_context): + env = xt.Environment() + line = env.new_line(name='line', components=[env.new('drift', xt.Drift, length=1.0)]) + model = ApertureModel( + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name='drift', + survey_index=0, + transformation=transform_matrix(), + ), + ], + pipes=[Pipe(curvature=0.5, positions=[ + ProfilePosition(profile_index=0, shift_s=0.1, shift_x=0.2, shift_y=-0.3, rot_x_rad=0.4, rot_y_rad=-0.5, rot_s_rad=0.6), + ProfilePosition(profile_index=1, shift_s=0.7), + ])], + profiles=[ + Profile(shape=Circle(radius=1.0), tol_r=0, tol_x=0, tol_y=0), + Profile(shape=Rectangle(half_width=2.0, half_height=3.0), tol_r=0.1, tol_x=0.2, tol_y=0.3), + ], + pipe_names=['type0'], + pipe_position_names=['type0_at_drift'], + profile_names=['circ0', 'rect0'], + _context=test_context, + ) + + profiles = ProfilesView(model) + pipes = TypesView(model) + pipe_positions = TypePositionsView(model) + type0 = pipes[0] + positions = type0 + + assert repr(profiles) == '' + assert repr(pipes) == '' + assert repr(pipe_positions) == '' + assert profiles.keys() == ['circ0', 'rect0'] + assert pipes.keys() == ['type0'] + assert pipe_positions.keys() == ['type0_at_drift'] + assert profiles.search(r'.*0') == ['circ0', 'rect0'] + assert pipes.search(r'type.*') == ['type0'] + assert pipe_positions.search(r'type0_.*') == ['type0_at_drift'] + + assert profiles[0].name == 'circ0' + assert profiles['rect0'].name == 'rect0' + assert list(name for name, _ in profiles.items()) == ['circ0', 'rect0'] + assert list(type(profile.raw.shape).__name__ for profile in [profiles[0], profiles[1]]) == ['Circle', 'Rectangle'] + assert [profile.name for profile in profiles.values()] == ['circ0', 'rect0'] + assert [type(profile.shape).__name__ for profile in profiles.values()] == ['Circle', 'Rectangle'] + + xo.assert_allclose(profiles['rect0'].tol_r, 0.1, atol=1e-15, rtol=0) + xo.assert_allclose(profiles['rect0'].tol_x, 0.2, atol=1e-15, rtol=0) + xo.assert_allclose(profiles['rect0'].tol_y, 0.3, atol=1e-15, rtol=0) + profiles['rect0'].tol_r = 0.4 + profiles['rect0'].tol_x = 0.5 + profiles['rect0'].tol_y = 0.6 + xo.assert_allclose(model.profiles[1].tol_r, 0.4, atol=1e-15, rtol=0) + xo.assert_allclose(model.profiles[1].tol_x, 0.5, atol=1e-15, rtol=0) + xo.assert_allclose(model.profiles[1].tol_y, 0.6, atol=1e-15, rtol=0) + + assert pipes[0].name == 'type0' + assert pipes['type0'].name == 'type0' + assert list(name for name, _ in pipes.items()) == ['type0'] + assert [type_.name for type_ in pipes.values()] == ['type0'] + assert [type_.curvature for type_ in pipes.values()] == [0.5] + xo.assert_allclose(type0.length, 0.6, atol=1e-15, rtol=0) + xo.assert_allclose(type0.angle, 0.3, atol=1e-15, rtol=0) + type0.curvature = 0.25 + xo.assert_allclose(model.pipes[0].curvature, 0.25, atol=1e-15, rtol=0) + + assert pipe_positions[0].name == 'type0_at_drift' + assert pipe_positions['type0_at_drift'].name == 'type0_at_drift' + assert pipe_positions[0].type.name == 'type0' + assert pipe_positions[0].survey_reference_name == 'drift' + assert pipe_positions[0].survey_index == 0 + xo.assert_allclose(pipe_positions[0].shift_x, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(pipe_positions[0].shift_y, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(pipe_positions[0].shift_z, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(pipe_positions[0].rot_x_rad, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(pipe_positions[0].rot_y_rad, 0.0, atol=1e-15, rtol=0) + xo.assert_allclose(pipe_positions[0].rot_z_rad, 0.0, atol=1e-15, rtol=0) + assert list(name for name, _ in pipe_positions.items()) == ['type0_at_drift'] + assert [type_pos.name for type_pos in pipe_positions.values()] == ['type0_at_drift'] + assert [type_pos.pipe_index for type_pos in pipe_positions.values()] == [0] + pipe_positions[0].survey_reference_name = 'drift_entry' + pipe_positions[0].survey_index = 3 + pipe_positions[0].pipe_index = 0 + pipe_positions[0].shift_x = 0.1 + pipe_positions[0].shift_y = -0.2 + pipe_positions[0].shift_z = 0.3 + pipe_positions[0].rot_x_rad = 0.4 + pipe_positions[0].rot_y_rad = -0.5 + pipe_positions[0].rot_z_rad = 0.6 + assert model.pipe_positions[0].survey_reference_name == 'drift_entry' + assert model.pipe_positions[0].survey_index == 3 + updated_transform = matrix_to_transform(model.pipe_positions[0].transformation.to_nplike()) + xo.assert_allclose(updated_transform.shift_x, 0.1, atol=1e-15, rtol=0) + xo.assert_allclose(updated_transform.shift_y, -0.2, atol=1e-15, rtol=0) + xo.assert_allclose(updated_transform.shift_z, 0.3, atol=1e-15, rtol=0) + xo.assert_allclose(updated_transform.rot_x_rad, 0.4, atol=1e-15, rtol=0) + xo.assert_allclose(updated_transform.rot_y_rad, -0.5, atol=1e-15, rtol=0) + xo.assert_allclose(updated_transform.rot_z_rad, 0.6, atol=1e-15, rtol=0) + pipe_positions[0].survey_reference_name = 'drift' + pipe_positions[0].survey_index = 0 + + assert positions[0].profile.name == 'circ0' + assert positions[1].profile.name == 'rect0' + assert [pp.profile.name for pp in positions] == ['circ0', 'rect0'] + assert [pp.profile.name for pp in positions[:]] == ['circ0', 'rect0'] + assert [pp.profile.name for pp in positions.values()] == ['circ0', 'rect0'] + xo.assert_allclose(positions[0].shift_s, 0.1, atol=1e-15, rtol=0) + xo.assert_allclose(positions[0].shift_x, 0.2, atol=1e-15, rtol=0) + xo.assert_allclose(positions[0].shift_y, -0.3, atol=1e-15, rtol=0) + xo.assert_allclose(positions[0].rot_x_rad, 0.4, atol=1e-15, rtol=0) + xo.assert_allclose(positions[0].rot_y_rad, -0.5, atol=1e-15, rtol=0) + xo.assert_allclose(positions[0].rot_s_rad, 0.6, atol=1e-15, rtol=0) + + positions[0].profile_index = 1 + positions[0].shift_s = 0.25 + positions[0].shift_x = 0.35 + positions[0].shift_y = -0.45 + positions[0].rot_x_rad = 0.55 + positions[0].rot_y_rad = -0.65 + positions[0].rot_s_rad = 0.75 + + assert positions[0].profile.name == 'rect0' + xo.assert_allclose(model.pipes[0].positions[0].profile_index, 1, atol=0, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].shift_s, 0.25, atol=1e-15, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].shift_x, 0.35, atol=1e-15, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].shift_y, -0.45, atol=1e-15, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].rot_x_rad, 0.55, atol=1e-15, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].rot_y_rad, -0.65, atol=1e-15, rtol=0) + xo.assert_allclose(model.pipes[0].positions[0].rot_s_rad, 0.75, atol=1e-15, rtol=0) + + assert [pp.profile.name for pp in positions[:]] == ['rect0', 'rect0'] + with pytest.raises(AttributeError): + positions.append(positions[0]) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_bounds_table_uses_type_position_name_in_installed_profile_name(test_context): + env = xt.Environment() + line = env.new_line(name='line', components=[env.new('drift', xt.Drift, length=1.0)]) + sv = line.survey() + + model = ApertureModel( + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(shift_z=0.5), + ), + ], + pipes=[Pipe(curvature=0.0, positions=[ProfilePosition(profile_index=0)])], + profiles=[Profile(shape=Circle(radius=1.0), tol_r=0, tol_x=0, tol_y=0)], + pipe_names=['shared_type'], + pipe_position_names=['entry_ap', 'middle_ap'], + profile_names=['circ0'], + _context=test_context, + ) + + ap = Aperture(line=line, model=model, context=test_context, _skip_validity_check=True) + bounds_table = ap.get_bounds_table() + + assert list(bounds_table.pipe_name) == ['shared_type', 'shared_type'] + assert list(bounds_table.pipe_position_name) == ['entry_ap', 'middle_ap'] + assert list(bounds_table.name) == ['circ0_in_entry_ap', 'circ0_in_middle_ap'] + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_bounds_table_for_interval_spanning_multiple_types(test_context): + env = xt.load(string=TOY_RING_SEQUENCE, format='madx', install_limits=False) + env.set_particle_ref('proton', p0c=1.2e9) + ring = env['ring'] + + aperture_model = Aperture.from_line_with_associated_apertures(ring, context=test_context) + + bounds_table = aperture_model.get_bounds_table() + mask = (bounds_table.s >= 8.0 - 1e-12) & (bounds_table.s <= 11.8 + 1e-12) + rows = bounds_table.rows[mask] + + assert len(rows) == 4 + assert list(rows.pipe_name) == ['mb_aper', 'ap_ds_aper', 'ap_ds_aper', 'mqf_aper'] + xo.assert_allclose(rows.s, [10.6, 10.6, 11.6, 11.6], atol=1e-9) + assert list(rows.shape) == ['Ellipse', 'RectEllipse', 'RectEllipse', 'Rectangle'] + + mb_shape = rows.shape_param[0] + assert mb_shape['half_major'] == 0.1 + assert mb_shape['half_minor'] == 0.1 + + ap_ds_shape_0 = rows.shape_param[1] + ap_ds_shape_1 = rows.shape_param[2] + for ap_ds_shape in (ap_ds_shape_0, ap_ds_shape_1): + assert ap_ds_shape['half_major'] == 0.022 + assert ap_ds_shape['half_minor'] == 0.022 + assert ap_ds_shape['half_width'] == 0.022 + assert ap_ds_shape['half_height'] == 0.01715 + + mqf_shape = rows.shape_param[3] + assert mqf_shape['half_width'] == 0.08 + assert mqf_shape['half_height'] == 0.04 + + +def test_is_point_inside_polygon_ellipse(kernels): + rx = 2 + ry = 3 + ellipse = [(rx * np.cos(angle), ry * np.sin(angle)) for angle in np.linspace(0, 2 * np.pi, 99)] + ellipse.append(ellipse[0]) + ellipse = np.array(ellipse, dtype=FloatType._dtype) + + @np.vectorize + def in_ellipse(x, y): + point = np.array([x, y], dtype=FloatType._dtype) + return bool(kernels['_is_point_inside_polygon'](point=point, points=ellipse, len_points=ellipse.shape[0])) + + extent = np.linspace(-10, 10, 100) + xs, ys = np.meshgrid(extent, extent) + + result = in_ellipse(xs, ys) + expected = (xs ** 2 / rx ** 2 + ys ** 2 / ry ** 2 - 1) < 0 + + assert not np.all(result) and np.any(result) # sanity check + assert np.all(result == expected) + + +def test_is_point_inside_polygon_path(kernels): + # Define a shape that is a rectangle spanning (-1, -1) through (3, 2) minus + # a rectangle (1, 0.5) through (2, 2) + + poly = np.array([ + (1, 2), + (1, .5), + (2, .5), + (2, 2), + (3, 2), + (3, -1), + (-1, -1), + (-1, 2), + (1, 2), + ], dtype=FloatType._dtype) + + @np.vectorize + def in_poly(x, y): + point = np.array([x, y], dtype=FloatType._dtype) + return bool(kernels['_is_point_inside_polygon'](point=point, points=poly, len_points=poly.shape[0])) + + extent = np.linspace(-5, 5, 100) + xs, ys = np.meshgrid(extent, extent) + + result = in_poly(xs, ys) + + in_rec1 = (-1 < xs) & (xs < 3) & (-1 < ys) & (ys < 2) + in_rec2 = (1 < xs) & (xs < 2) & (0.5 < ys) & (ys < 2) + expected = in_rec1 & ~in_rec2 + + assert not np.all(result) and np.any(result) # sanity check + assert np.all(result == expected) + + + +def test_points_inside_polygon_inscribed_circles(kernels): + r1 = 0.11 + r2 = 1 + + circ1 = [(r1 * np.cos(angle), r1 * np.sin(angle)) for angle in np.linspace(0, 2 * np.pi, 99)] + circ1.append(circ1[0]) + circ2 = [(r2 * np.cos(angle), r2 * np.sin(angle)) for angle in np.linspace(0, 2 * np.pi, 99)] + circ2.append(circ2[0]) + + circ1 = np.array(circ1, dtype=FloatType._dtype) + circ2 = np.array(circ2, dtype=FloatType._dtype) + + small_in_big = kernels["_points_inside_polygon"]( + points=circ1, + poly_points=circ2, + len_points=circ1.shape[0], + len_poly_points=circ2.shape[0], + ) + + assert bool(small_in_big) + + big_in_small = kernels["_points_inside_polygon"]( + points=circ2, + poly_points=circ1, + len_points=circ2.shape[0], + len_poly_points=circ1.shape[0], + ) + + assert not bool(big_in_small) + + +def test_points_inside_polygon_simple(kernels): + poly_big = [(1, 1), (2, 3.5), (4.5, 3.5), (4.5, 1), (1, 1)] + poly_small = [(2, 2), (3, 3), (4, 2), (3, 1.5), (2, 2)] + + poly_big = np.array(poly_big, dtype=FloatType._dtype) + poly_small = np.array(poly_small, dtype=FloatType._dtype) + + small_in_big = kernels["_points_inside_polygon"]( + points=poly_small, + poly_points=poly_big, + len_points=poly_small.shape[0], + len_poly_points=poly_big.shape[0], + ) + + assert bool(small_in_big) + + big_in_small = kernels["_points_inside_polygon"]( + points=poly_big, + poly_points=poly_small, + len_points=poly_big.shape[0], + len_poly_points=poly_small.shape[0], + ) + + assert not bool(big_in_small) + + +def test_points_inside_polygon_simpler(kernels): + poly_big = np.array([ + [1.0000000e+00, 0.0000000e+00], + [-5.0000006e-01, 8.6602539e-01], + [-4.9999991e-01, -8.6602545e-01], + [1.0000000e+00, 0.0000000e+00], + ], dtype=FloatType._dtype) + poly_small = np.array([ + [1.1466468e-01, 0.0000000e+00], + [-5.7332322e-02, 9.9302538e-02], + [-5.7332378e-02, -9.9302508e-02], + [1.1466468e-01, 0.0000000e+00], + ], dtype=FloatType._dtype) + + small_in_big = kernels["_points_inside_polygon"]( + points=poly_small, + poly_points=poly_big, + len_points=poly_small.shape[0], + len_poly_points=poly_big.shape[0], + ) + + assert bool(small_in_big) + + big_in_small = kernels["_points_inside_polygon"]( + points=poly_big, + poly_points=poly_small, + len_points=poly_big.shape[0], + len_poly_points=poly_small.shape[0], + ) + + assert not bool(big_in_small) + + +@pytest.mark.parametrize('method', ['bisection', 'rays', 'exact']) +@pytest.mark.parametrize( + 'shape,aper_params,aper_tol,beam_params,halo_params,expected', + [ + ( + 'circle', (1,), (0, 0, 0), + {'exn': 1e-3, 'eyn': 1e-3, 'gamma': np.sqrt(101), 'betx': 1, 'bety': 1, 'x': 0, 'y': 0, 'dx': 0, 'dy': 0}, + {}, + 100, + ), + ( + 'circle', (1,), (0, 0, 0), + {'exn': 1e-3, 'eyn': 1e-3, 'gamma': np.sqrt(101), 'betx': 1, 'bety': 1, 'x': 0, 'y': 0, 'dx': 0, 'dy': 0}, + {'halo_primary': 1, 'halo_r': 2, 'halo_x': 2, 'halo_y': 2}, + 50, + ), + ( + 'rectangle', (1, 1), (0, 0, 0), + {'exn': 1e-3, 'eyn': 1e-3, 'gamma': np.sqrt(101), 'betx': 1, 'bety': 1, 'x': 0, 'y': 0, 'dx': 0, 'dy': 0}, + {}, + 100, + ), + ( + 'rectangle', (1.1, 1.2), (0, 0, 0), + {'exn': 1e-3, 'eyn': 1e-3, 'gamma': np.sqrt(101), 'betx': 1, 'bety': 1, 'x': -0.1, 'y': 0.2, 'dx': 0, 'dy': 0}, + {}, + 100, + ), + ( + 'racetrack', (0.28, 0.43, 0.13, 0.172), (0.002, 0.006, 0.002), + {'exn': 4e-3, 'eyn': 4e-3, 'gamma': np.sqrt(101), 'betx': 9, 'bety': 16, 'x': 0, 'y': 0, 'dx': 0, 'dy': 0}, + { + 'tol_beta_beating': 0.8, + 'tol_disp': 1.25, + 'tol_disp_ref_beta': 4, + 'tol_disp_ref': 20, + 'halo_primary': 10, + 'halo_r': 0.7, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'tol_co': 0.002, + 'delta_rms': 0.001, + }, + 100, + ), + ( + 'racetrack', (0.3, 0.5, 0.13, 0.172), (0.002, 0.006, 0.002), + {'exn': 4e-3, 'eyn': 4e-3, 'gamma': np.sqrt(101), 'betx': 9, 'bety': 16, 'x': -0.02, 'y': 0.07, 'dx': 0, 'dy': 0}, + { + 'tol_beta_beating': 0.8, + 'tol_disp': 1.25, + 'tol_disp_ref_beta': 4, + 'tol_disp_ref': 20, + 'halo_primary': 10, + 'halo_r': 0.7, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'tol_co': 0.002, + 'delta_rms': 0.001, + }, + 100, + ), + ( + 'racetrack', (0.32, 0.478, 0.13, 0.172), (0.002, 0.006, 0.002), + { + 'exn': 4e-3, + 'eyn': 4e-3, + 'gamma': np.sqrt(101), + 'betx': 9, + 'bety': 16, + 'x': 0, + 'y': 0, + 'dx': 10 * np.sqrt(13), + 'dy': 10 * np.sqrt(17) + }, + { + 'tol_beta_beating': 0.8, + 'tol_disp': 1.25, + 'tol_disp_ref_beta': 4, + 'tol_disp_ref': 20, + 'halo_primary': 10, + 'halo_r': 0.7, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'tol_co': 0.002, + 'delta_rms': 0.001, + }, + # In the following two parametrisations the limiting direction is horizontal. + # Available horizontal clearance is 0.32 either directly, or as 0.4 - 0.08 + # once the closed-orbit offset is included. + # + # Halo racetrack horizontal half-size: + # tol_x + tol_r + tol_co + tol_dx = 0.006 + 0.002 + 0.002 + 0.03 = 0.04 + # + # One-sigma beam horizontal half-size: + # (halo_x / halo_primary) * sqrt((emitx_norm / gamma) * betx) * tol_beta_beating + # = 0.05 * sqrt((4e-3 / 10) * 9) * 0.8 = 0.0024 + # + # Dispersive orbit shift: + # dx * delta_rms = 10 * sqrt(13) * 1e-3 = sqrt(13) / 100 + # + # Solving 0.04 + n * 0.0024 + sqrt(13) / 100 = 0.32 gives: + (0.32 - 0.04 - np.sqrt(13) / 100) / 0.0024, + ), + ( + 'racetrack', (0.4, 0.5, 0.13, 0.172), (0.002, 0.006, 0.002), + { + 'exn': 4e-3, + 'eyn': 4e-3, + 'gamma': np.sqrt(101), + 'betx': 9, + 'bety': 16, + 'x': -0.08, + 'y': 0.022, + 'dx': 10 * np.sqrt(13), + 'dy': 10 * np.sqrt(17) + }, + { + 'tol_beta_beating': 0.8, + 'tol_disp': 1.25, + 'tol_disp_ref_beta': 4, + 'tol_disp_ref': 20, + 'halo_primary': 10, + 'halo_r': 0.7, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'tol_co': 0.002, + 'delta_rms': 0.001, + }, + (0.32 - 0.04 - np.sqrt(13) / 100) / 0.0024, + ), + ], + ids=[ + 'circle', + 'circle-halo', + 'square', + 'square-orbit', + 'racetrack-aper_tols-halo', + 'racetrack-orbit-aper_tols-halo', + 'racetrack-dispersion-aper_tols-halo', + 'racetrack-dispersion-orbit-aper_tols-halo', + ] +) +def test_get_aperture_sigmas_at_element_analytic(method, shape, aper_params, aper_tol, beam_params, halo_params, expected, context): + def madx_list(l): + return '{' + ', '.join([str(v) for v in l]) + '}' + + halo_params_for_test = { + 'emitx_norm': beam_params['exn'], + 'emity_norm': beam_params['eyn'], + 'tol_beta_beating': 1, + 'tol_disp': 0, + 'tol_disp_ref_beta': 1, + 'tol_disp_ref': 0, + 'halo_primary': 1, + 'halo_r': 1, + 'halo_x': 1, + 'halo_y': 1, + 'tol_co': 0, + 'delta_rms': 0, + } + halo_params_for_test.copy() + halo_params_for_test.update(halo_params) + halo_params = halo_params_for_test + + lattice = f""" + m1: marker, apertype = {shape}, aperture = {madx_list(aper_params)}, aper_tol = {madx_list(aper_tol)}; + + seq: sequence,l = 1; + m1, at=0; + endsequence; + """ + + env = xt.load(string=lattice, format='madx', install_limits=False) + seq = env['seq'] + seq.set_particle_ref('proton', gamma0=beam_params['gamma']) + tw = seq.twiss4d( + betx=beam_params['betx'], + bety=beam_params['bety'], + x=beam_params['x'], + y=beam_params['y'], + dx=beam_params['dx'], + dy=beam_params['dy'], + ) + + aperture_model = Aperture.from_line_with_associated_apertures(seq, context=context) + aperture_model.halo_params.update(halo_params) + + # Needed as these quantities are not imported by the native madloader + aperture_model._model.profiles[0].tol_r = aper_tol[0] + aperture_model._model.profiles[0].tol_x = aper_tol[1] + aperture_model._model.profiles[0].tol_y = aper_tol[2] + + # Compute n1 with Xsuite + n1_table, tw = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + envelopes_num_points=144, + method=method, + output_cross_sections=False, + output_max_envelopes=False, + ) + computed_n1 = n1_table.n1 + + # There are two sources of error wrt. to the analytic solution: + # - precision on the bisection defined in beam_aperture.h + # - error coming from the fact that we are comparing polygons, not ideal shapes (especially a problem if x, y != 0) + xo.assert_allclose(computed_n1, expected, atol=0.001, rtol=0.002) + + +def test_get_aperture_sigmas_at_element_analytic_rays(context): + betx = 9 + bety = 16 + delta = 0.001 + gamma = np.sqrt(101) + + beam_data = { + 'emitx_norm': 4e-3, + 'emity_norm': 4e-3, + 'delta_rms': 0.001, + 'tol_co': 0.002, + 'tol_disp': 1.25, + 'tol_disp_ref': 20, + 'tol_disp_ref_beta': 4, + 'tol_beta_beating': 0.8, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'halo_r': 0.7, + 'halo_primary': 10, + } + + tol_r = 0.002 + tol_x = 0.006 + tol_y = 0.002 + + expected_n1 = 100 + + lattice = f""" + m1: marker, + apertype = racetrack, + aperture = {{ 0.28, 0.43, 0.13, 0.172 }}, + aper_tol = {{ {tol_r}, {tol_x}, {tol_y} }}; + + seq: sequence, l = 1; + m1, at = 0; + endsequence; + """ + + env = xt.load(string=lattice, format="madx", install_limits=False) + seq = env["seq"] + seq.set_particle_ref("proton", gamma0=gamma) + + tw = seq.twiss4d(betx=betx, bety=bety, delta=delta) + + aperture_model = Aperture.from_line_with_associated_apertures(seq, context=context) + aperture_model.halo_params.update(beam_data) + + # Needed as these quantities are not imported by the native madloader + aperture_model._model.profiles[0].tol_r = tol_r + aperture_model._model.profiles[0].tol_x = tol_x + aperture_model._model.profiles[0].tol_y = tol_y + + n1_table, tw = ( + aperture_model.get_aperture_sigmas_at_element( + element_name="m1", + resolution=None, + twiss=tw, + envelopes_num_points=144, + method="rays", + output_cross_sections=False, + output_max_envelopes=False, + ) + ) + computed_n1 = n1_table.n1 + + # All n1-s should be the expected value, the envelope at the expected value + # should fully cover the aperture in this case. + xo.assert_allclose(computed_n1, expected_n1, atol=0.01, rtol=0.002) + + +def _build_single_marker_aperture_model(context): + lattice = """ + m1: marker, + apertype = racetrack, + aperture = { 0.28, 0.43, 0.13, 0.172 }, + aper_tol = { 0.002, 0.006, 0.002 }; + + seq: sequence, l = 1; + m1, at = 0; + endsequence; + """ + + env = xt.load(string=lattice, format="madx", install_limits=False) + seq = env["seq"] + seq.set_particle_ref("proton", gamma0=10) + tw = seq.twiss4d(betx=9, bety=16) + + aperture_model = Aperture.from_line_with_associated_apertures(seq, context=context) + aperture_model.halo_params.update({ + 'emitx_norm': 4e-3, + 'emity_norm': 4e-3, + 'delta_rms': 0.001, + 'tol_co': 0.002, + 'tol_disp': 1.25, + 'tol_disp_ref': 20, + 'tol_disp_ref_beta': 4, + 'tol_beta_beating': 0.8, + 'halo_x': 0.5, + 'halo_y': 0.6, + 'halo_r': 0.7, + 'halo_primary': 10, + }) + + aperture_model._model.profiles[0].tol_r = 0.002 + aperture_model._model.profiles[0].tol_x = 0.006 + aperture_model._model.profiles[0].tol_y = 0.002 + + return aperture_model, tw + + +@pytest.mark.parametrize('method', ['bisection', 'rays', 'exact']) +def test_get_aperture_sigmas_at_element_output_cross_sections_match_cross_sections_at_s(method, context): + aperture_model, tw = _build_single_marker_aperture_model(context) + + n1_table, _ = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + method=method, + envelopes_num_points=144, + output_cross_sections=True, + output_max_envelopes=False, + ) + sigmas = n1_table.n1 + aperture_points = n1_table.cross_section + + ref = aperture_model.cross_sections_at_element('m1', resolution=None).cross_section + xo.assert_allclose(aperture_points, ref, atol=1e-12, rtol=0) + assert sigmas.shape == (2,) + + +@pytest.mark.parametrize('method', ['bisection', 'rays']) +def test_get_aperture_sigmas_at_element_output_envelopes_match_get_envelope_at_s(method, context): + aperture_model, tw = _build_single_marker_aperture_model(context) + + n1_table, _ = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + method=method, + envelopes_num_points=144, + output_cross_sections=False, + output_max_envelopes=True, + ) + sigmas = n1_table.n1 + envelope_points = n1_table.envelope + + ref_envelopes, _ = aperture_model.get_envelope_at_element( + element_name='m1', + sigmas=float(sigmas[0]), + resolution=None, + twiss=tw, + envelopes_num_points=144, + ) + xo.assert_allclose(envelope_points, ref_envelopes, atol=1e-10, rtol=0) + + +def test_get_aperture_sigmas_at_element_output_envelopes_exact_is_contained_in_full_envelope(context): + aperture_model, tw = _build_single_marker_aperture_model(context) + + n1_table, _ = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + method='exact', + envelopes_num_points=144, + output_cross_sections=False, + output_max_envelopes=True, + ) + sigmas = n1_table.n1 + envelope_points = n1_table.envelope + + ref_envelopes, _ = aperture_model.get_envelope_at_element( + element_name='m1', + sigmas=float(sigmas[0]), + resolution=None, + twiss=tw, + envelopes_num_points=2048, + ) + + for exact_env, full_env in zip(envelope_points, ref_envelopes): + assert exact_env[:, 0].min() >= full_env[:, 0].min() + assert exact_env[:, 0].max() <= full_env[:, 0].max() + assert exact_env[:, 1].min() >= full_env[:, 1].min() + assert exact_env[:, 1].max() <= full_env[:, 1].max() + assert _polygon_area(exact_env) < _polygon_area(full_env) + + +@pytest.mark.parametrize('method', ['bisection', 'rays', 'exact']) +def test_get_aperture_sigmas_at_element_can_skip_optional_outputs(method, context): + aperture_model, tw = _build_single_marker_aperture_model(context) + + table_with_outputs, _ = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + method=method, + envelopes_num_points=144, + output_cross_sections=True, + output_max_envelopes=True, + ) + table_without_outputs, _ = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + method=method, + envelopes_num_points=144, + output_cross_sections=False, + output_max_envelopes=False, + ) + sigmas_with_outputs = table_with_outputs.n1 + sigmas_without_outputs = table_without_outputs.n1 + aperture_points = table_with_outputs.cross_section + envelope_points = table_with_outputs.envelope + aperture_points_none = table_without_outputs._data.get('cross_section') + envelope_points_none = table_without_outputs._data.get('envelope') + + assert aperture_points is not None + assert envelope_points is not None + assert aperture_points_none is None + assert envelope_points_none is None + xo.assert_allclose(sigmas_with_outputs, sigmas_without_outputs, atol=1e-12, rtol=0) + + +@pytest.mark.parametrize( + 'shape,aper_params,aper_tol,exn,eyn,gamma,betx,bety,x,y,halo_params', + [ + ('ellipse', (1, 1.3), (0.01, 0.015, 0.01), 1e-3, 1e-3, 10, 1, 1, 0, 0, {}), + ('circle', (1,), (0.01, 0.01, 0.02), 1e-3, 1e-3, 10, 1, 1, 0, 0, + {'halo_primary': 1, 'halo_r': 2, 'halo_x': 2, 'halo_y': 2}), + ('rectangle', (1, 1), (0.01, 0.02, 0.03), 1e-3, 1e-3, 10, 1, 1, 0, 0, {}), + ('rectangle', (1.1, 1.2), (0.04, 0.02, 0.02), 1e-3, 1e-3, 10, 1, 1, -0.1, 0.2, + {'halo_primary': 1, 'halo_r': 2, 'halo_x': 2, 'halo_y': 2}), + ], + ids=['ellipse-tols', 'circle-halo-tols', 'square-tols', 'square-orbit-halo-tols'], +) +def test_get_aperture_sigmas_at_element_vs_madx( + shape, + aper_params, + aper_tol, + exn, + eyn, + gamma, + betx, + bety, + x, + y, + halo_params, + context, + sandbox_cwd, +): + """Test the computation of sigmas vs MAD-X + + MAD-X uses a different approach to computing N1 when dispersion is present, hence we only test the cases without. + """ + def madx_list(l): + return '{' + ', '.join([str(v) for v in l]) + '}' + + halo_params_for_test = { + 'emitx_norm': exn, + 'emity_norm': eyn, + 'tol_beta_beating': 1, + 'tol_disp': 0, + 'tol_disp_ref_beta': 1, + 'tol_disp_ref': 0, + 'halo_primary': 1, + 'halo_r': 1, + 'halo_x': 1, + 'halo_y': 1, + 'tol_co': 0, + 'delta_rms': 0, + } + halo_params_for_test.copy() + halo_params_for_test.update(halo_params) + halo_params = halo_params_for_test + + mad = Madx(stdout=False) + mad.input(f""" + m1: marker, apertype = {shape}, aperture = {madx_list(aper_params)}, aper_tol = {madx_list(aper_tol)}; + + seq: sequence,l = 1; + m1, at=0; + endsequence; + + beam, particle = proton, exn = {exn}, eyn = {eyn}, gamma = {gamma}; + use, sequence = seq; + twiss, betx = {betx}, bety = {bety}, x = {x}, y = {y}; + + aperture, + dqf = {halo_params['tol_disp_ref']}, + betaqfx = {halo_params['tol_disp_ref_beta']}, + dp = {halo_params['delta_rms']}, ! called `twiss_deltap` in the table + dparx = {halo_params['tol_disp']}, + dpary = {halo_params['tol_disp']}, + cor = {halo_params['tol_co']}, + bbeat = {halo_params['tol_beta_beating']}, + halo = {madx_list([halo_params[param] for param in ('halo_primary', 'halo_r', 'halo_x', 'halo_y')])}; + + write, table = aperture; + """) + + madx_n1 = mad.table['aperture'].n1[1] + + env = xt.Environment.from_madx(madx=mad, enable_layout_data=True) + seq = env['seq'] + seq.set_particle_ref('proton', gamma0=mad.beam.gamma) + tw = seq.twiss4d(betx=betx, bety=bety, x=x, y=y) + + xo.assert_allclose(mad.beam.gamma, seq.particle_ref.gamma0, atol=1e-10) + xo.assert_allclose(mad.beam.beta, seq.particle_ref.beta0, atol=1e-10) + + aperture_model = Aperture.from_line_with_madx_metadata(seq, context=context) + aperture_model.halo_params.update(halo_params) + + # Sanity checks + aper_summ = mad.table.aperture.summary + xo.assert_allclose(aperture_model.halo_params['tol_disp_ref'], aper_summ.dqf, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['tol_disp_ref_beta'], aper_summ.betaqfx, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['delta_rms'], aper_summ.dp_bucket_size, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['tol_disp'], aper_summ.paras_dx, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['tol_co'], aper_summ.co_radius, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['tol_beta_beating'], aper_summ.beta_beating, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['halo_primary'], aper_summ.halo_prim, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['halo_r'], aper_summ.halo_r, atol=3e-6, rtol=0) + xo.assert_allclose(aperture_model.halo_params['halo_x'], aper_summ.halo_h, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['halo_y'], aper_summ.halo_v, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['emitx_norm'], mad.beam.exn, atol=1e-8, rtol=0) + xo.assert_allclose(aperture_model.halo_params['emity_norm'], mad.beam.eyn, atol=1e-8, rtol=0) + + # Compute n1 with Xsuite + n1_table, tw = aperture_model.get_aperture_sigmas_at_element( + element_name='m1', + resolution=None, + twiss=tw, + envelopes_num_points=144, + method='bisection', + output_cross_sections=False, + output_max_envelopes=False, + ) + computed_n1 = n1_table.n1 + + xo.assert_allclose(madx_n1, computed_n1, rtol=0.01) + + +def test_survey_resample_out_of_range_returns_nans_with_precision_tolerance(context): + eps = 1e-6 + env = xt.Environment() + drift = env.new('drift', xt.Drift, length=1.0) + line = env.new_line(name='line', components=[drift]) + + survey = SurveyData.from_survey_table(line.survey(), context=context) + s_query = np.array([ + -2 * eps, + -0.5 * eps, + 0.0, + 1.0, + 1.0 + 0.5 * eps, + 1.0 + 2 * eps, + ], dtype=float) + resampled = survey.resample(s_query) + + assert np.isnan(resampled.s[0]) + assert np.isnan(resampled.pose[0, 0, 0]) + xo.assert_allclose(resampled.s[1], 0.0, atol=0, rtol=0) + xo.assert_allclose(resampled.s[2], 0.0, atol=0, rtol=0) + xo.assert_allclose(resampled.s[3], 1.0, atol=0, rtol=0) + xo.assert_allclose(resampled.s[4], 1.0, atol=0, rtol=0) + assert np.isnan(resampled.s[5]) + assert np.isnan(resampled.pose[5, 0, 0]) + + +@pytest.mark.parametrize( + 'rot_x_rad,rot_y_rad,dx,dy,ds1,ds2,ds_bounds1,ds_bounds2', + [ + (0, 0, 0, 0, 0, 0, 0, 0), + (np.deg2rad(45), np.deg2rad(30), np.sqrt(3), 1, 1, 1, 1 / np.sqrt(2), 0.5), + ] +) +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_bounds_straight_survey(rot_x_rad, rot_y_rad, dx, dy, ds1, ds2, ds_bounds1, ds_bounds2, test_context): + env = xt.Environment() + drift = env.new('drift', xt.Drift, length=1) + line = env.new_line(name='line', components=10 * [drift]) + sv = line.survey() + + circle = Circle(radius=1) + rectangle = Rectangle(half_width=0.6, half_height=0.4) + + profiles = [ + Profile(shape=circle, tol_r=0, tol_x=0, tol_y=0), + Profile(shape=rectangle, tol_r=0, tol_x=0, tol_y=0), + ] + + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=-1.5), + ProfilePosition(profile_index=0, shift_s=0.5, rot_x_rad=rot_x_rad), + ProfilePosition(profile_index=0, shift_s=2.5, rot_y_rad=rot_y_rad), + ProfilePosition(profile_index=0, shift_s=8.5), + ] + + pipes = [ + Pipe(curvature=0., positions=profile_positions), + ] + + pipe_positions = [ + PipePosition( + pipe_index=0, + survey_reference_name='drift::0', + survey_index=sv.name.tolist().index('drift::0'), + transformation=transform_matrix( + shift_z=1.5, + shift_x=dx, + shift_y=dy, + ), + ), + ] + + model = ApertureModel( + line=line, + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['circle', 'rectangle'], + ) + + # Skip validity check as in this case some profiles are outside the survey + ap = Aperture(line=line, model=model, context=test_context, _skip_validity_check=True) + + xo.assert_allclose(ap._aperture_bounds.s_positions[0], 0, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_start[0], 0, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_end[0], 0, atol=1e-6, rtol=1e-8) + + xo.assert_allclose(ap._aperture_bounds.s_positions[1], 2 + ds1, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_start[1], 2 - ds_bounds1, atol=1e-4, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_end[1], 2 + ds_bounds1, atol=1e-4, rtol=1e-8) + + xo.assert_allclose(ap._aperture_bounds.s_positions[2], 4 + ds2, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_start[2], 4 - ds_bounds2, atol=2e-4, rtol=1e-8) # atol < 1mm but quite high + xo.assert_allclose(ap._aperture_bounds.s_end[2], 4 + ds_bounds2, atol=2e-4, rtol=1e-8) # ditto + + xo.assert_allclose(ap._aperture_bounds.s_positions[3], 10, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_start[3], 10, atol=1e-6, rtol=1e-8) + xo.assert_allclose(ap._aperture_bounds.s_end[3], 10, atol=1e-6, rtol=1e-8) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_bounds_and_cross_sections_curved_survey_follows_pipe(test_context): + env = xt.Environment() + angle = np.deg2rad(35.0) + length = 3.2 + radius = 0.6 + + bend = env.new('bend', xt.Bend, length=length, angle=angle, k0=0) + drift = env.new('drift', xt.Drift, length=length) + anti_bend = env.new('anti_bend', xt.Bend, length=length, angle=-angle, k0=0) + line = env.new_line(name='line', components=[bend, drift, anti_bend]) + sv = line.survey() + + shape = Circle(radius=radius) + profiles = [ + Profile(shape=shape, tol_r=0, tol_x=0, tol_y=0), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=length), + ] + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + PipePosition( + pipe_index=1, + survey_reference_name=sv.name[1], + survey_index=1, + transformation=transform_matrix(), + ), + PipePosition( + pipe_index=2, + survey_reference_name=sv.name[2], + survey_index=2, + transformation=transform_matrix(), + ), + ], + pipes=[ + Pipe(curvature=angle / length, positions=profile_positions), + Pipe(curvature=0, positions=profile_positions), + Pipe(curvature=-angle / length, positions=profile_positions), + ], + profiles=profiles, + pipe_names=['type0', 'type1', 'type2'], + pipe_position_names=['type0', 'type1', 'type2'], + profile_names=['circ0'], + ) + + ap = Aperture(line=line, model=model, num_profile_points=256, context=test_context) + + bounds_table = ap.get_bounds_table() + bounds_s = [0, length, length, 2 * length, 2 * length, 3 * length] + xo.assert_allclose(bounds_table.s, bounds_s, atol=1e-6, rtol=1e-6) + xo.assert_allclose(bounds_table.s_start, bounds_s, atol=1e-6, rtol=1e-6) + xo.assert_allclose(bounds_table.s_end, bounds_s, atol=1e-6, rtol=1e-6) + assert all(bounds_table.pipe_name == ['type0', 'type0', 'type1', 'type1', 'type2', 'type2']) + assert all(bounds_table.profile_name == ['circ0']) + + s_samples = np.linspace(0, 3 * length, 51, dtype=FloatType._dtype) + sections_table = ap.cross_sections_at_s(s_samples) + sections = sections_table.cross_section + poses = sections_table.pose + + for ii in range(1, len(sections)): + xo.assert_allclose(np.linalg.norm(sections[ii], axis=1), radius, atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_bounds_and_cross_sections_large_curved_ring_follows_pipe(test_context): + env = xt.Environment() + + num_bends = 720 + bend_angle = np.deg2rad(0.5) + ring_length = 30_000.0 + bend_length = ring_length / num_bends + aperture_radius = 0.03 + + bend = env.new('bend', xt.Bend, length=bend_length, angle=bend_angle, k0=0) + line = env.new_line(name='line', components=[bend] * num_bends) + sv = line.survey() + + shape = Circle(radius=aperture_radius) + profiles = [Profile(shape=shape, tol_r=0, tol_x=0, tol_y=0)] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=bend_length), + ] + + pipe_positions = [ + PipePosition( + pipe_index=ii, + survey_reference_name=sv.name[ii], + survey_index=ii, + transformation=transform_matrix(), + ) + for ii in range(num_bends) + ] + pipes = [Pipe(curvature=bend_angle / bend_length, positions=profile_positions)] * num_bends + + model = ApertureModel( + line=line, + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=[f'type{ii}' for ii in range(num_bends)], + pipe_position_names=[f'type{ii}' for ii in range(num_bends)], + profile_names=['circ0'], + ) + + ap = Aperture( + line=line, + model=model, + num_profile_points=64, + context=test_context, + _skip_validity_check=True, + ) + + bounds_table = ap.get_bounds_table() + expected_s = np.repeat(np.arange(1, num_bends + 1, dtype=FloatType._dtype) * bend_length, 2) + expected_s[::2] -= bend_length + + xo.assert_allclose(bounds_table.s, expected_s, atol=1e-6, rtol=0) + xo.assert_allclose(bounds_table.s_start, expected_s, atol=1e-6, rtol=0) + xo.assert_allclose(bounds_table.s_end, expected_s, atol=1e-6, rtol=0) + + assert np.all(np.diff(bounds_table.s) >= -1e-6) + assert np.all(np.isfinite(bounds_table.s)) + assert np.all(np.isfinite(bounds_table.s_start)) + assert np.all(np.isfinite(bounds_table.s_end)) + + s_samples = np.linspace(0, ring_length, 101, dtype=FloatType._dtype) + sections = ap.cross_sections_at_s(s_samples).cross_section + radii = np.linalg.norm(sections, axis=2) + xo.assert_allclose(radii, aperture_radius, atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_bounds_large_curved_ring_with_shifted_survey_references(test_context): + env = xt.Environment() + + num_bends = 720 + bend_angle = np.deg2rad(0.5) + ring_length = 30_000.0 + bend_length = ring_length / num_bends + aperture_radius = 0.03 + + bend = env.new('bend', xt.Bend, length=bend_length, angle=bend_angle, k0=0) + line = env.new_line(name='line', components=[bend] * num_bends) + sv = line.survey() + + shape = Circle(radius=aperture_radius) + profiles = [Profile(shape=shape, tol_r=0, tol_x=0, tol_y=0)] + + # Same physical profile planes, expressed in three different reference frames. + pipes = [ + Pipe( + curvature=bend_angle / bend_length, + positions=[ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=bend_length), + ], + ), + Pipe( + curvature=bend_angle / bend_length, + positions=[ + ProfilePosition(profile_index=0, shift_s=-bend_length), + ProfilePosition(profile_index=0, shift_s=0.0), + ], + ), + Pipe( + curvature=bend_angle / bend_length, + positions=[ + ProfilePosition(profile_index=0, shift_s=-2 * bend_length), + ProfilePosition(profile_index=0, shift_s=-bend_length), + ], + ), + ] + + pipe_positions = [] + for ii in range(num_bends): + # Cycle references where possible; near the end stay in-range. + if ii <= num_bends - 3: + shift = ii % 3 + else: + shift = 0 + + pipe_positions.append( + PipePosition( + pipe_index=shift, + survey_reference_name=sv.name[ii + shift], + survey_index=ii + shift, + transformation=transform_matrix(), + ) + ) + + model = ApertureModel( + line=line, + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=['type_ref0', 'type_ref1', 'type_ref2'], + pipe_position_names=[['type_ref0', 'type_ref1', 'type_ref2'][tp.pipe_index] for tp in pipe_positions], + profile_names=['circ0'], + ) + + ap = Aperture( + line=line, + model=model, + num_profile_points=64, + context=test_context, + _skip_validity_check=True, + ) + + bounds_table = ap.get_bounds_table() + expected_s = np.repeat(np.arange(1, num_bends + 1, dtype=FloatType._dtype) * bend_length, 2) + expected_s[::2] -= bend_length + + xo.assert_allclose(bounds_table.s, expected_s, atol=1e-6, rtol=0) + xo.assert_allclose(bounds_table.s_start, expected_s, atol=1e-6, rtol=0) + xo.assert_allclose(bounds_table.s_end, expected_s, atol=1e-6, rtol=0) + + assert np.all(np.diff(bounds_table.s) >= -1e-6) + assert np.all(np.isfinite(bounds_table.s)) + assert np.all(np.isfinite(bounds_table.s_start)) + assert np.all(np.isfinite(bounds_table.s_end)) + + s_samples = np.linspace(0, ring_length, 101, dtype=FloatType._dtype) + sections = ap.cross_sections_at_s(s_samples).cross_section + radii = np.linalg.norm(sections, axis=2) + xo.assert_allclose(radii, aperture_radius, atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_aperture_bounds_large_curved_ring_single_type_wraparound_regression(test_context): + env = xt.Environment() + + num_bends = 720 + bend_angle = np.deg2rad(0.5) + ring_length = 30_000.0 + bend_length = ring_length / num_bends + aperture_radius = 0.03 + + bend = env.new('bend', xt.Bend, length=bend_length, angle=bend_angle, k0=0) + line = env.new_line(name='line', components=[bend] * num_bends) + sv = line.survey() + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[num_bends - 1], + survey_index=num_bends - 1, + # Shift the type forward so the installed profiles should wrap to small s. + transformation=transform_matrix(shift_z=2 * bend_length), + ) + ], + pipes=[ + Pipe( + curvature=bend_angle / bend_length, + positions=[ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=bend_length), + ], + ) + ], + profiles=[Profile(shape=Circle(radius=aperture_radius), tol_r=0, tol_x=0, tol_y=0)], + pipe_names=['wrapped_type'], + pipe_position_names=['wrapped_type'], + profile_names=['circ0'], + ) + + ap = Aperture( + line=line, + model=model, + num_profile_points=64, + context=test_context, + _skip_validity_check=True, + ) + + bounds_table = ap.get_bounds_table() + expected_s = np.array([bend_length, 2 * bend_length], dtype=FloatType._dtype) + + assert np.all(np.isfinite(bounds_table.s)) + xo.assert_allclose(bounds_table.s, expected_s, atol=5e-3, rtol=0) + xo.assert_allclose(bounds_table.s_start, expected_s, atol=3e-2, rtol=0) + xo.assert_allclose(bounds_table.s_end, expected_s, atol=3e-2, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_interpolate_circles_to_cone(test_context): + env = xt.Environment() + l = 1.0 + angle = np.deg2rad(30.0) + l_straight = 1.0 / np.sin(angle / 2) + rho = 0.5 * l_straight / np.sin(angle / 2) + l_curv = rho * angle + + drift = env.new('drift', xt.Drift, length=l) + bend_plus = env.new('bend_plus', xt.Bend, length=l_curv, angle=angle, k0=0) + bend_minus = env.new('bend_minus', xt.Bend, length=l_curv, angle=-angle, k0=0) + line = env.new_line(name='line', components=[drift, bend_plus, drift, drift, bend_minus, drift]) + sv = line.survey() + + s0, s1 = 0.0, 11.0 + r0, r1 = 0.8, 2.0 + + profiles = [ + Profile(shape=Circle(radius=r0), tol_r=0, tol_x=0, tol_y=0), + Profile(shape=Circle(radius=r1), tol_r=0, tol_x=0, tol_y=0), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=s0), + ProfilePosition(profile_index=1, shift_s=s1), + ] + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(shift_x=-1.5), + ), + ], + pipes=[Pipe(curvature=0.0, positions=profile_positions)], + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['circle0', 'circle1'], + ) + + ap = Aperture(line=line, model=model, context=test_context) + + s_samples = np.linspace(1.0, 11.0, 21, dtype=FloatType._dtype) + sections_table = ap.cross_sections_at_s(s_samples) + sections = sections_table.cross_section + poses = sections_table.pose + + # Transform all cross-section points to the (fixed) type frame. + # In this frame, two circle profiles at z=s0/s1 define a cone: + # sqrt(x^2 + y^2) == r0 + (r1-r0) * (z-s0)/(s1-s0) + sv_ref = sv.rows[0] + sv_ref_mat = np.identity(4) + sv_ref_mat[:3, 0] = sv_ref.ex + sv_ref_mat[:3, 1] = sv_ref.ey + sv_ref_mat[:3, 2] = sv_ref.ez + sv_ref_mat[:3, 3] = np.array([sv_ref.X[0], sv_ref.Y[0], sv_ref.Z[0]]) + world_from_type = sv_ref_mat @ model.pipe_positions[0].transformation.to_nparray() + type_from_world = np.linalg.inv(world_from_type) + + for ii in range(len(s_samples)): + sec_xy = sections[ii] + assert not np.isnan(sec_xy).any() + + sec_hom = np.column_stack([ + sec_xy, + np.zeros(len(sec_xy), dtype=FloatType._dtype), + np.ones(len(sec_xy), dtype=FloatType._dtype), + ]) + sec_world = (poses[ii] @ sec_hom.T).T + sec_type = (type_from_world @ sec_world.T).T + + rr = np.linalg.norm(sec_type[:, :2], axis=1) + z = sec_type[:, 2] + expected_r = r0 + (r1 - r0) * (z - s0) / (s1 - s0) + + xo.assert_allclose(rr, expected_r, atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_interpolates_tolerances(test_context): + env = xt.Environment() + line = env.new_line(name='line', components=[env.new('drift', xt.Drift, length=10.0)]) + sv = line.survey() + + profiles = [ + Profile(shape=Circle(radius=1.0), tol_r=0.1, tol_x=0.2, tol_y=0.3), + Profile(shape=Circle(radius=1.0), tol_r=0.5, tol_x=0.6, tol_y=0.7), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=1, shift_s=10.0), + ] + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + ], + pipes=[Pipe(curvature=0.0, positions=profile_positions)], + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['profile0', 'profile1'], + ) + + ap = Aperture(line=line, model=model, context=test_context) + + s_samples = np.array([0.0, 2.5, 5.0, 7.5, 10.0], dtype=FloatType._dtype) + sections_table = ap.cross_sections_at_s(s_samples) + + xo.assert_allclose(sections_table.tol_r, [0.1, 0.2, 0.3, 0.4, 0.5], atol=1e-12, rtol=0) + xo.assert_allclose(sections_table.tol_x, [0.2, 0.3, 0.4, 0.5, 0.6], atol=1e-12, rtol=0) + xo.assert_allclose(sections_table.tol_y, [0.3, 0.4, 0.5, 0.6, 0.7], atol=1e-12, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_curved_type_preserves_profile_shape(test_context): + env = xt.Environment() + angle = np.deg2rad(35.0) + length = 3.2 + radius = 1.4 + + bend_name = env.new('bend', xt.Bend, length=length, angle=angle, k0=0) + line = env.new_line(name='line', components=[bend_name]) + sv = line.survey() + + shape = Circle(radius=radius) + profiles = [ + Profile(shape=shape, tol_r=0, tol_x=0, tol_y=0), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=0, shift_s=length), + ] + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + ], + pipes=[Pipe(curvature=angle / length, positions=profile_positions)], + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['circ0'], + ) + + ap = Aperture(line=line, model=model, context=test_context, num_profile_points=256) + + s_samples = np.linspace(0.0, length, 33, dtype=FloatType._dtype) + sections = ap.cross_sections_at_s(s_samples).cross_section + + for ii in range(1, len(sections)): + xo.assert_allclose(np.linalg.norm(sections[ii], axis=1), radius, atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_returns_axis_extents(test_context): + env = xt.Environment() + line = env.new_line(name='line', components=[env.new('drift', xt.Drift, length=1.0)]) + sv = line.survey() + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name=sv.name[0], + survey_index=0, + transformation=transform_matrix(), + ), + ], + pipes=[Pipe(curvature=0.0, positions=[ProfilePosition(profile_index=0)])], + profiles=[Profile(shape=Rectangle(half_width=2.0, half_height=1.5), tol_r=0, tol_x=0, tol_y=0)], + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['profile0'], + ) + + ap = Aperture(line=line, model=model, context=test_context) + sections_table = ap.cross_sections_at_s([0.0], extents=True) + + xo.assert_allclose(sections_table.min_x, [-2.0], atol=1e-12, rtol=0) + xo.assert_allclose(sections_table.max_x, [2.0], atol=1e-12, rtol=0) + xo.assert_allclose(sections_table.min_y, [-1.5], atol=1e-12, rtol=0) + xo.assert_allclose(sections_table.max_y, [1.5], atol=1e-12, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_compare_straight_curved(test_context): + env = xt.Environment() + angle = np.deg2rad(35.0) + length = 3.2 + + drift = env.new('drift', xt.Drift, length=length) + bend = env.new('bend', xt.Bend, length=length, angle=angle) + line = env.new_line(name='line', components=[drift, bend]) + sv = line.survey() + + circle = Circle(radius=1.4) + rectangle = Rectangle(half_width=0.4, half_height=1.9) + profiles = [ + Profile(shape=rectangle, tol_r=0, tol_x=0, tol_y=0), + Profile(shape=circle, tol_r=0, tol_x=0, tol_y=0), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=1, shift_s=length), + ] + + model = ApertureModel( + line=line, + pipes=[ + Pipe(curvature=0, positions=profile_positions), + Pipe(curvature=angle / length, positions=profile_positions), + ], + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name='drift', + survey_index=list(sv.name).index('drift'), + transformation=np.identity(4), + ), + PipePosition( + pipe_index=1, + survey_reference_name='bend', + survey_index=list(sv.name).index('bend'), + transformation=np.identity(4), + ), + ], + profiles=profiles, + pipe_names=['type_straight', 'type_curv'], + pipe_position_names=['type_straight', 'type_curv'], + profile_names=['rect0', 'circ0'], + ) + + ap = Aperture(line=line, model=model, context=test_context, num_profile_points=256) + + s_samples0 = np.linspace(0.1, length - 0.1, 33, dtype=FloatType._dtype) + s_samples1 = s_samples0 + length + + sections_straight = ap.cross_sections_at_s(s_samples0).cross_section + sections_curv = ap.cross_sections_at_s(s_samples1).cross_section + + # Compare up to cyclic polygon indexing: point ordering can differ by a + # rotation along the closed contour while representing the same shape. + for ii in range(sections_straight.shape[0]): + sec_ref = sections_straight[ii] + sec_cur = sections_curv[ii] + + best_shift = 0 + best_cost = np.inf + for shift in range(sec_cur.shape[0]): + sec_shifted = np.roll(sec_cur, -shift, axis=0) + cost = np.sum((sec_ref - sec_shifted) ** 2) + if cost < best_cost: + best_cost = cost + best_shift = shift + + xo.assert_allclose(sec_ref, np.roll(sec_cur, -best_shift, axis=0), atol=1e-6, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_cross_sections_at_s_interpolated_sections_stay_closed(test_context): + env = xt.Environment() + angle = np.deg2rad(35.0) + length = 3.2 + + bend = env.new('bend', xt.Bend, length=length, angle=angle) + line = env.new_line(name='line', components=[bend]) + sv = line.survey() + + rectangle = Rectangle(half_width=0.4, half_height=1.9) + circle = Circle(radius=1.4) + profiles = [ + Profile(shape=rectangle, tol_r=0, tol_x=0, tol_y=0), + Profile(shape=circle, tol_r=0, tol_x=0, tol_y=0), + ] + profile_positions = [ + ProfilePosition(profile_index=0, shift_s=0.0), + ProfilePosition(profile_index=1, shift_s=length), + ] + + model = ApertureModel( + line=line, + pipe_positions=[ + PipePosition( + pipe_index=0, + survey_reference_name='bend', + survey_index=list(sv.name).index('bend'), + transformation=np.identity(4), + ), + ], + pipes=[Pipe(curvature=angle / length, positions=profile_positions)], + profiles=profiles, + pipe_names=['type_curv'], + pipe_position_names=['type_curv'], + profile_names=['rect0', 'circ0'], + ) + + ap = Aperture(line=line, model=model, context=test_context, num_profile_points=256) + + s_samples = np.linspace(0.1, length - 0.1, 33, dtype=FloatType._dtype) + sections = ap.cross_sections_at_s(s_samples).cross_section + + xo.assert_allclose(sections[:, 0, :], sections[:, -1, :], atol=1e-12, rtol=0) + + +@for_all_test_contexts(excluding=('ContextPyopencl', 'ContextCupy')) +def test_open_line_aperture_bounds_do_not_wrap_search(test_context): + env = xt.Environment() + + l = 1.0 + dx = 1.0 + angle = np.deg2rad(30.0) + l_straight = dx / np.sin(angle / 2) + rho = 0.5 * l_straight / np.sin(angle / 2) + l_curv = rho * angle + + drift = env.new('drift', xt.Drift, length=l) + rot_plus = env.new('rot_plus', xt.Bend, length=l_curv, angle=angle, k0=0) + rot_minus = env.new('rot_minus', xt.Bend, length=l_curv, angle=-angle, k0=0) + line = env.new_line(name='line', components=[drift, rot_plus, drift, drift, rot_minus, drift]) + sv = line.survey() + + circle = Circle(radius=2.0) + rectangle = Rectangle(half_width=2.0, half_height=1.0) + profiles = [ + Profile(shape=circle, tol_r=0, tol_x=0, tol_y=0), + Profile(shape=rectangle, tol_r=0, tol_x=0, tol_y=0), + ] + pipes = [ + Pipe(curvature=0.0, positions=[ + ProfilePosition(profile_index=1, shift_s=0.0, rot_s_rad=np.deg2rad(15.0)), + ProfilePosition(profile_index=1, shift_s=5.5, rot_s_rad=np.deg2rad(90.0)), + ProfilePosition(profile_index=0, shift_s=11.0, rot_x_rad=np.deg2rad(10.0)), + ]), + ] + pipe_positions = [ + PipePosition( + pipe_index=0, + survey_reference_name='drift::0', + survey_index=sv.name.tolist().index('drift::0'), + transformation=transform_matrix(shift_x=-1.5), + ), + ] + model = ApertureModel( + line_name='line', + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=['type0'], + pipe_position_names=['type0'], + profile_names=['circle', 'rectangle'], + ) + + ap = Aperture(line, model, context=test_context) + bounds_table = ap.get_bounds_table() + + assert np.all(np.isfinite(bounds_table.s)) + assert np.all(np.isfinite(bounds_table.s_start)) + assert np.all(np.isfinite(bounds_table.s_end)) + assert np.all(bounds_table.s_start <= bounds_table.s) + assert np.all(bounds_table.s <= bounds_table.s_end) + + +@pytest.fixture +def hllhc19_end_to_end_model(tmp_path): + local_context = xo.ContextCpu() + + lhc = xt.load(TEST_DATA_DIR / 'hllhc19_apertures/lhc_aperture.json') + line = lhc.b1.copy(_context=local_context) + + aperture = Aperture.from_line_with_madx_metadata( + line, + num_profile_points=100, + include_offsets=True, + context=local_context, + ) + + aperture_path = tmp_path / 'aperture_model_b1.json' + aperture.to_json(aperture_path) + aperture = Aperture.from_json(aperture_path, line) + + return line, aperture + + +@requires_context('ContextCpu') +@pytest.mark.parametrize('ir', [f'ir{idx}b1' for idx in range(1, 9)]) +@pytest.mark.parametrize('method', ['rays', 'exact']) +def test_hllhc19_end_to_end(ir, method, hllhc19_end_to_end_model): + line, aperture = hllhc19_end_to_end_model + line_table = line.get_table() + + # See `test_data/hllhc19_apertures` for more info on the file generation + # In particular these are sanitised by clamping to nan values that are too large + # or spurious (a lot of sequences nan, single value, nan, single value, nan, ...) + ref_file = TEST_DATA_DIR / f'hllhc19_apertures/{ir}.json' + + reference = json.loads(ref_file.read_text()) + aperture.halo_params.update(reference['halo_params']) + + s_local = np.asarray(reference['s_local'], dtype=float) + n1_madx = np.asarray(reference['n1_madx'], dtype=float) + ip_name = reference['ip_name'] + + s_ip_x = float(line_table.rows[f'{ip_name}.*'].s[0]) + s_positions = np.mod(s_local + s_ip_x, line.get_length()) + order = np.argsort(s_positions) + undo_order = np.empty_like(order) + undo_order[order] = np.arange(len(order)) + + n1_table, _ = aperture.get_aperture_sigmas_at_s( + s_positions=s_positions[order], + method=method, + ) + n1_xt = np.asarray(n1_table.n1[undo_order], dtype=float) + + valid_mask = np.isfinite(n1_madx) + + # Assert that 99% of the data points are within 1% of MAD-X + assert allclose_with_outliers( + n1_madx[valid_mask], + n1_xt[valid_mask], + rtol=0.01, + max_outliers=int(len(n1_madx) / 100), + ), ref_file.name diff --git a/tests/test_aperture_polygons.py b/tests/test_aperture_polygons.py new file mode 100644 index 000000000..43a4bfb5e --- /dev/null +++ b/tests/test_aperture_polygons.py @@ -0,0 +1,286 @@ +import numpy as np +import pytest +from scipy.special import ellipe + +import xobjects as xo +from xtrack.aperture import structures +from xtrack.aperture.structures import ( + Circle, Ellipse, FloatType, Octagon, Profile, Racetrack, Rectangle, + RectEllipse, ShapeTypes +) + + +@pytest.fixture(scope="module") +def context(): + # This is to avoid recompilation for every test + context = xo.ContextCpu() + Profile.compile_class_kernels(context, only_if_needed=True) + return context + + +@pytest.fixture(scope="module") +def build_polygon_for_profile(context): + def _build_polygon_for_profile(profile: ShapeTypes, len_points: int): + profile = Profile(shape=profile, _context=context) + return profile.build_polygon(len_points=len_points) + + return _build_polygon_for_profile + + +def ellipse_circumference(a: float, b: float) -> float: + return 4 * a * ellipe(1 + b**2 / a**2) + + +def assert_polyline(pts: np.ndarray): + atol = 1e-6 # microns + assert pts.ndim == 2 and pts.shape[1] == 2 + assert np.isfinite(pts).all() + assert np.allclose(pts[0], pts[-1], atol=atol), f"polyline not closed: {pts[0]} vs {pts[-1]} (atol={atol})" + + +def unique_loop(pts: np.ndarray) -> np.ndarray: + """Return the unique points (drop the repeated last == first).""" + return pts[:-1] + + +def segment_lengths(pts: np.ndarray) -> np.ndarray: + """Lengths of the explicit segments of the closed polyline (no extra wrap).""" + diffs = np.diff(pts, axis=0) + return np.linalg.norm(diffs, axis=1) + + +def assert_uniform_sampling(pts: np.ndarray, expected_circumference: float = None): + lens = segment_lengths(pts) + len_points = lens.shape[0] + + if True or expected_circumference is None: + circumference = (len_points - 1) * np.mean(lens) + else: + assert (len_points - 1) * np.mean(lens) < expected_circumference + circumference = expected_circumference + + min_ds = circumference / (len_points - 1) / np.sqrt(2) + atol = 1e-6 # microns + assert (lens >= min_ds - atol).all() + + +def assert_centered(pts: np.ndarray): + pts = unique_loop(pts) + atol = 5e-5 # 50 microns + c = pts.mean(axis=0) + assert np.allclose(c, (0.0, 0.0), atol=atol), f"centroid {c} not near origin (atol={atol})" + + +def assert_circle_boundary(pts: np.ndarray, r: float): + pts = unique_loop(pts) + atol = 1e-6 # microns + rad = np.linalg.norm(pts, axis=1) + assert np.allclose(rad, r, atol=atol), f"circle boundary mismatch (atol={atol})" + + +def assert_ellipse_boundary(pts: np.ndarray, a: float, b: float): + pts = unique_loop(pts) + atol = 1e-6 # microns + x, y = pts[:, 0], pts[:, 1] + val = (x / a) ** 2 + (y / b) ** 2 + assert np.allclose(val, 1.0, atol=atol), f"ellipse implicit mismatch (atol={atol})" + + +def assert_rectangle_boundary(pts: np.ndarray, w: float, h: float): + pts = unique_loop(pts) + atol = 1e-6 # microns + x, y = np.abs(pts[:, 0]), np.abs(pts[:, 1]) + on_vert = np.isclose(x, w, atol=atol) & (y <= h + atol) + on_horiz = np.isclose(y, h, atol=atol) & (x <= w + atol) + assert (on_vert | on_horiz).all(), "Some points are not on rectangle boundary" + + +def assert_racetrack_boundary(pts: np.ndarray, w: float, h: float, a: float, b: float): + """ + Racetrack = Minkowski sum of rectangle (w - a, h - b) and ellipse (a,b). + - vertical edges: |x| = w + a + - horizontal edges: |y| = h + b + - arc edges: (|x| - w) ** 2 / a ** 2 + (|y| - h) ** 2) / b**2 = 1 for |x| > w - a and |y| > h - b + """ + pts = unique_loop(pts) + atol = 1e-6 # microns + + x, y = np.abs(pts[:, 0]), np.abs(pts[:, 1]) + on_vert = np.isclose(x, w, atol=atol, rtol=0) & (y <= h - b + atol) + on_horiz = np.isclose(y, h, atol=atol, rtol=0) & (x <= w - a + atol) + on_ellipse = np.isclose(((x - w + a)**2) / (a**2) + ((y - h + b)**2) / b**2, 1, atol=1e-1, rtol=0) + in_corner = (x > w - a) & (y > h - b) + on_arc = on_ellipse & in_corner + + assert (on_vert | on_horiz | on_arc).all(), "Some points are not on racetrack boundary" + + +def assert_rectellipse_union_boundary(pts: np.ndarray, w: float, h: float, a: float, b: float): + """ + RectEllipse is an intersection of a rectangle with an ellipse. Check that the points lie on the boundary, by + verifying that they are inside the intersection of the two plus some tolerance, and that the lie outside + the intersection minus some tolerance. + """ + pts = unique_loop(pts) + atol = 1e-6 # microns + + x, y = np.abs(pts[:, 0]), np.abs(pts[:, 1]) + in_rect_plus_eps = (x < w + atol) & (y < h + atol) + in_ellipse_plus_eps = (x / a) ** 2 + (y / b) ** 2 < 1 + atol + in_union_plus_eps = in_rect_plus_eps & in_ellipse_plus_eps + + outside_rect_minus_eps = (x > w - atol) | (y > h - atol) + outside_ellipse_minus_eps = (x / a) ** 2 + (y / b) ** 2 > 1 - atol + outside_union_minus_eps = outside_rect_minus_eps | outside_ellipse_minus_eps + + assert (in_union_plus_eps & outside_union_minus_eps).all() + + +def assert_octagon_boundary(pts: np.ndarray, w: float, h: float, d: float): + """ + Points lie either on |x| = w, |y| = h, or |y| = -|x| + sqrt(2) * d + """ + pts = unique_loop(pts) + atol = 1e-6 # microns + + x, y = np.abs(pts[:, 0]), np.abs(pts[:, 1]) + on_vert = np.isclose(x, w, atol=atol, rtol=0) + on_horiz = np.isclose(y, h, atol=atol, rtol=0) + on_corner = np.isclose(y, -x + np.sqrt(2) * d, atol=atol, rtol=0) + + assert (on_vert | on_horiz | on_corner).all(), "Some points are not on octagon boundary" + + +@pytest.mark.parametrize("r,n", [ + (1.0, 360), + (2.5, 2048), +]) +def test_circle_correctness_and_uniformity(build_polygon_for_profile, r, n): + pts = build_polygon_for_profile(Circle(radius=r), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_circle_boundary(pts, r) + + assert_uniform_sampling(pts, 2 * np.pi * r) + + +@pytest.mark.parametrize("w,h,n", [ + (2.0, 1.0, 1200), + (1.0, 1.0, 2000), +]) +def test_rectangle_correctness_and_uniformity(build_polygon_for_profile, w, h, n): + pts = build_polygon_for_profile(Rectangle(half_width=w, half_height=h), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_rectangle_boundary(pts, w, h) + assert_uniform_sampling(pts, 4 * (w + h)) + + +@pytest.mark.parametrize("a,b,n", [ + (2.0, 1.0, 1200), + (5.0, 0.5, 4000), +]) +def test_ellipse_correctness_and_uniformity(build_polygon_for_profile, a, b, n): + pts = build_polygon_for_profile(Ellipse(half_major=a, half_minor=b), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_ellipse_boundary(pts, a, b) + assert_uniform_sampling(pts, ellipse_circumference(a, b)) + + +@pytest.mark.parametrize("w,h,a,b,n", [ + (2.0, 1.0, 0.5, 0.5, 3500), + (2.0, 1.0, 1.0, 0.25, 6000), +]) +def test_racetrack_correctness_and_uniformity(build_polygon_for_profile, w, h, a, b, n): + pts = build_polygon_for_profile(Racetrack(half_width=w, half_height=h, half_major=a, half_minor=b), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_racetrack_boundary(pts, w, h, a, b) + assert_uniform_sampling(pts, 4 * (w + h) + ellipse_circumference(a, b)) + + +def test_racetrack_degenerate_to_ellipse(build_polygon_for_profile): + a, b = 2.0, 1.0 + w, h = a, b + n = 2500 + + pts = build_polygon_for_profile(Racetrack(half_width=w, half_height=h, half_major=a, half_minor=b), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_ellipse_boundary(pts, a, b) + assert_uniform_sampling(pts, ellipse_circumference(a, b)) + + +def test_rectellipse_with_zero_length_arcs(build_polygon_for_profile): + # angle1 == angle2 in `geom2d_segments_from_rectellipse`, yielding zero-length arc segments. + # This used to expose division-by-zero issues in arc sampling. + pts = build_polygon_for_profile( + RectEllipse(half_width=0.6, half_height=0.8, half_major=1.0, half_minor=1.0), + 1200, + ) + assert pts.shape == (1200, 2) + assert_polyline(pts) + assert_centered(pts) + assert_rectellipse_union_boundary(pts, 0.6, 0.8, 1.0, 1.0) + assert_uniform_sampling(pts) + + +@pytest.mark.parametrize("w,h,a,b,n", [ + (0.5, 0.25, 2.0, 1.0, 3500), # rectangle inside ellipse + (3.0, 2.0, 1.0, 0.5, 3500), # ellipse inside rectangle + (1.5, 0.6, 1.0, 1.2, 5000), # barrel-y shape + (2.0, 1.0, 2.3, 1.3, 300), # 8-segment shape + (0.022, 0.01715, 0.022, 0.022, 300), # LHC-style screen +]) +def test_rectellipse_correctness_and_uniformity(build_polygon_for_profile, w, h, a, b, n): + pts = build_polygon_for_profile(RectEllipse(half_width=w, half_height=h, half_major=a, half_minor=b), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_rectellipse_union_boundary(pts, w, h, a, b) + assert_uniform_sampling(pts) + + +@pytest.mark.parametrize("w,h,d,n", [ + (2.0, 1.5, 1.8, 2500), + (3.0, 2.0, 2.5, 4000), + (2.0, 2.0, 1.5, 5000), +]) +def test_octagon_correctness_and_uniformity(build_polygon_for_profile, w, h, d, n): + pts = build_polygon_for_profile(Octagon(half_width=w, half_height=h, half_diagonal=d), n) + assert pts.shape == (n, 2) + assert_polyline(pts) + + assert_centered(pts) + assert_octagon_boundary(pts, w, h, d) + + assert_uniform_sampling(pts, 4 * (w + h) + 4 * d * (np.sqrt(2) - 2)) + + +@pytest.mark.parametrize("shape_class,params", [ + ('Circle', {'radius': 1.0}), + ('Rectangle', {'half_width': 1.0, 'half_height': 0.5}), + ('Ellipse', {'half_major': 1.5, 'half_minor': 1.0}), + ('RectEllipse', {'half_width': 1.0, 'half_height': 0.5, 'half_major': 1.2, 'half_minor': 0.8}), + ('Racetrack', {'half_width': 1.0, 'half_height': 0.5, 'half_major': 0.3, 'half_minor': 0.2}), + ('Octagon', {'half_width': 1.0, 'half_height': 0.8, 'half_diagonal': 0.8}), +]) +def test_smoke_small_len_points(build_polygon_for_profile, shape_class, params): + profile = getattr(structures, shape_class)(**params) + n = 8 + pts = build_polygon_for_profile(profile, n) + assert pts.shape == (n, 2) + assert_polyline(pts) + lens = segment_lengths(pts) + assert lens.min() > 0 diff --git a/tests/test_chromatic_functions_vs_madx.py b/tests/test_chromatic_functions_vs_madx.py index 900d9cc45..8177b9e85 100644 --- a/tests/test_chromatic_functions_vs_madx.py +++ b/tests/test_chromatic_functions_vs_madx.py @@ -12,7 +12,7 @@ import numpy as np @for_all_test_contexts(excluding=('ContextCupy', 'ContextPyopencl')) -def test_chromatic_functions_vs_madx(test_context): +def test_chromatic_functions_vs_madx(test_context, sandbox_cwd): collider = xt.load(test_data_folder / 'hllhc15_thick/hllhc15_collider_thick.json') @@ -86,4 +86,4 @@ def test_chromatic_functions_vs_madx(test_context): xo.assert_allclose(tw_open.ay_chrom[:-1], tw_ref_open.ay_chrom, rtol=0, atol=2e-3 * np.max(tw_ref_open.ay_chrom)) xo.assert_allclose(tw_open.bx_chrom[:-1], tw_ref_open.bx_chrom, - rtol=0, atol=2e-3 * np.max(tw_ref_open.bx_chrom)) \ No newline at end of file + rtol=0, atol=2e-3 * np.max(tw_ref_open.bx_chrom)) diff --git a/tests/test_elements_thick.py b/tests/test_elements_thick.py index 7dcd69acf..243a63c78 100644 --- a/tests/test_elements_thick.py +++ b/tests/test_elements_thick.py @@ -35,7 +35,7 @@ @pytest.mark.parametrize('model', ['adaptive', 'full', 'bend-kick-bend', 'rot-kick-rot']) @for_all_test_contexts def test_combined_function_dipole_against_ptc(test_context, k0, k1, k2, length, - use_multipole, model): + use_multipole, model, sandbox_cwd): p0 = xp.Particles( mass0=xp.PROTON_MASS_EV, diff --git a/tests/test_fcc_ee_solenoid_correction.py b/tests/test_fcc_ee_solenoid_correction.py index 9d6542d63..485beebca 100644 --- a/tests/test_fcc_ee_solenoid_correction.py +++ b/tests/test_fcc_ee_solenoid_correction.py @@ -11,7 +11,7 @@ __file__).parent.joinpath('../test_data').absolute() -def test_fcc_ee_solenoid_correction(): +def test_fcc_ee_solenoid_correction(tmp_path): fname = 'fccee_t'; pc_gev = 182.5 env = xt.load([test_data_folder / 'fcc_ee/' / (fname + '.seq')]) @@ -328,7 +328,7 @@ def test_fcc_ee_solenoid_correction(): opt_r.enable(vary=True) opt_r.solve() - line.to_json(fname + '_with_sol_corrected.json') + line.to_json(tmp_path / f'{fname}_with_sol_corrected.json') tw_sol_on_corrected = line.twiss(method='4d') diff --git a/tests/test_fcc_ee_solenoid_correction_new_optimize_api.py b/tests/test_fcc_ee_solenoid_correction_new_optimize_api.py index cc4c04e6a..3587b5d21 100644 --- a/tests/test_fcc_ee_solenoid_correction_new_optimize_api.py +++ b/tests/test_fcc_ee_solenoid_correction_new_optimize_api.py @@ -11,7 +11,7 @@ __file__).parent.joinpath('../test_data').absolute() -def test_fcc_ee_solenoid_correction_new_optimizer_api(): +def test_fcc_ee_solenoid_correction_new_optimizer_api(tmp_path): fname = 'fccee_t'; pc_gev = 182.5 env = xt.load([test_data_folder / 'fcc_ee/' / (fname + '.seq')]) @@ -331,7 +331,7 @@ def test_fcc_ee_solenoid_correction_new_optimizer_api(): opt_r.enable(vary=True) opt_r.solve() - line.to_json(fname + '_with_sol_corrected.json') + line.to_json(tmp_path / f'{fname}_with_sol_corrected.json') tw_sol_on_corrected = line.twiss(method='4d') diff --git a/tests/test_lhc_env.py b/tests/test_lhc_env.py index bd728825b..08f3f8075 100644 --- a/tests/test_lhc_env.py +++ b/tests/test_lhc_env.py @@ -9,7 +9,7 @@ test_data_folder = pathlib.Path( __file__).parent.joinpath('../test_data').absolute() -def test_lhc_environment(): +def test_lhc_environment(tmp_path, sandbox_cwd): mad1=Madx() mad1.call(str(test_data_folder / 'hllhc15_thick/lhc.seq')) @@ -45,9 +45,10 @@ def test_lhc_environment(): env = xt.Environment(lines={'lhcb1': line1, 'lhcb2': line4}) assert env.lhcb2.twiss_default['reverse'] == True - env.to_json('lhc.json') + env_path = tmp_path / 'lhc.json' + env.to_json(env_path) - env = xt.load('lhc.json') + env = xt.load(env_path) assert env.lhcb1._element_dict is env._element_dict assert env.lhcb2._element_dict is env._element_dict @@ -109,4 +110,4 @@ def test_lhc_environment(): assert env.lhcb1.tracker is not None assert env.lhcb2.tracker is not None assert env.lhcb1.tracker._context is mycontext - assert env.lhcb2.tracker._context is mycontext \ No newline at end of file + assert env.lhcb2.tracker._context is mycontext diff --git a/tests/test_lhc_match_phase_15.py b/tests/test_lhc_match_phase_15.py index 6eaa5d5ca..76669b930 100644 --- a/tests/test_lhc_match_phase_15.py +++ b/tests/test_lhc_match_phase_15.py @@ -18,7 +18,7 @@ ['noshift', 'shift'] ) @fix_random_seed(2836475) -def test_lhc_match_phase_15(config): +def test_lhc_match_phase_15(config, tmp_path): test_context = xo.ContextCpu() if config == 'noshift': @@ -241,7 +241,8 @@ def test_lhc_match_phase_15(config): optimizers['orbit_knobs'] = opt # Generate madx optics file - lm.gen_madx_optics_file_auto(collider, f'opt_round_150_1500_xs_{config}.madx') + optics_path = tmp_path / f'opt_round_150_1500_xs_{config}.madx' + lm.gen_madx_optics_file_auto(collider, optics_path) tw = collider.twiss() @@ -522,7 +523,7 @@ def test_lhc_match_phase_15(config): mad.use('lhcb1') mad.input('beam, sequence=lhcb2, particle=proton, energy=7000, bv=-1;') mad.use('lhcb2') - mad.call(f"opt_round_150_1500_xs_{config}.madx") + mad.call(str(optics_path)) mad.input('twiss, sequence=lhcb1, table=twb1') mad.input('twiss, sequence=lhcb2, table=twb2') diff --git a/tests/test_aperture_polygon.py b/tests/test_limit_polygon.py similarity index 100% rename from tests/test_aperture_polygon.py rename to tests/test_limit_polygon.py diff --git a/tests/test_madloader.py b/tests/test_madloader.py index 1bfe42362..145a75f52 100644 --- a/tests/test_madloader.py +++ b/tests/test_madloader.py @@ -779,7 +779,7 @@ def test_load_madx_optics_file(): xo.assert_allclose(tw.lhcb2['px', 'ip2'], 0, atol=1e-9, rtol=0) -def test_load_b2_with_bv_minus_one(): +def test_load_b2_with_bv_minus_one(sandbox_cwd): test_data_folder_str = str(test_data_folder) mad1 = Madx(stdout=False) diff --git a/tests/test_native_madloader.py b/tests/test_native_madloader.py index 3b755b86b..741d2d583 100644 --- a/tests/test_native_madloader.py +++ b/tests/test_native_madloader.py @@ -692,7 +692,7 @@ def test_reversed_solenoid(example_sequence): assert so1.ks == -3 -def test_load_b2_with_bv_minus_one(tmp_path): +def test_load_b2_with_bv_minus_one(sandbox_cwd): test_data_folder_str = str(test_data_folder) mad = Madx(stdout=False) @@ -723,8 +723,7 @@ def test_load_b2_with_bv_minus_one(tmp_path): mad.globals['kctx3.l1'] = 1e-5 # Check thin dodecapole expressions mad.globals['kctsx3.r1'] = 1e-5 # Check thin skew dodecapole expressions - - tmp_seq_path = str(tmp_path / 'sequence.seq') + tmp_seq_path = str(sandbox_cwd / 'sequence.seq') mad.input('set, format=".20g";') mad.save(file=tmp_seq_path) @@ -869,6 +868,27 @@ def test_line_syntax(): assert l6.element_names == 4 * ['el1', 'el2'] +def test_line_syntax_inserts_apertures(): + sequence = """ + m1: marker, apertype="circle", aperture={.2}; + d1: drift, l=1; + + l1: line = (m1, 3 * m1, d1); + """ + + loader = MadxLoader() + loader.load_string(sequence) + env = loader.env + + env['l1'].end_compose() + + l1 = env['l1'] + assert l1.name == 'l1' + assert l1.element_names == 4 * ['m1_aper', 'm1'] + ['d1'] + assert l1['m1'].name_associated_aperture == 'm1_aper' + assert isinstance(l1['m1_aper'], xt.LimitEllipse) + + def test_refer_and_thin_elements(): sequence = """ mb: sbend, l = 3; @@ -1210,4 +1230,4 @@ def test_bend_k0_neq_h(): xo.assert_allclose(lenv['b1'].edge_entry_angle_fdown, lmad['b1'].edge_entry_angle_fdown, rtol=0, atol=1e-12) xo.assert_allclose(lenv['b1'].edge_exit_angle_fdown, - lmad['b1'].edge_exit_angle_fdown, rtol=0, atol=1e-12) \ No newline at end of file + lmad['b1'].edge_exit_angle_fdown, rtol=0, atol=1e-12) diff --git a/tests/test_ps_against_ptc.py b/tests/test_ps_against_ptc.py index af416f929..3159b4dc6 100644 --- a/tests/test_ps_against_ptc.py +++ b/tests/test_ps_against_ptc.py @@ -11,7 +11,7 @@ __file__).parent.joinpath('../test_data').absolute() @for_all_test_contexts -def test_ps_against_ptc(test_context): +def test_ps_against_ptc(test_context, sandbox_cwd): # Verify correct result with Yoshida integration in CombinedFunctionMagnet diff --git a/tests/test_quadrupole_fringe_ptc.py b/tests/test_quadrupole_fringe_ptc.py index 13c2b74d6..531ed1048 100644 --- a/tests/test_quadrupole_fringe_ptc.py +++ b/tests/test_quadrupole_fringe_ptc.py @@ -4,7 +4,7 @@ import numpy as np from cpymad.madx import Madx -def test_quadrupole_fringe_ptc(): +def test_quadrupole_fringe_ptc(sandbox_cwd): b2 = 100 b1 = 0 length=1e-20 diff --git a/tests/test_second_order_taylor_map.py b/tests/test_second_order_taylor_map.py index 27e14320a..d226ee1ab 100644 --- a/tests/test_second_order_taylor_map.py +++ b/tests/test_second_order_taylor_map.py @@ -60,7 +60,7 @@ def test_line_with_second_order_maps(test_context): @for_all_test_contexts -def test_second_order_maps_against_madx(test_context): +def test_second_order_maps_against_madx(test_context, sandbox_cwd): orbit_settings = { @@ -191,5 +191,3 @@ def test_second_order_maps_against_madx(test_context): # The following means that a change of one sigma in jj, kk results # in an error of less than 5e-4 sigmas on ii xo.assert_allclose(scaled_tt, scaled_tt_mad, atol=5e-4, rtol=0) - - diff --git a/tests/test_slice_elements.py b/tests/test_slice_elements.py index 2c2799932..22d5dcfae 100644 --- a/tests/test_slice_elements.py +++ b/tests/test_slice_elements.py @@ -10,7 +10,7 @@ @pytest.mark.parametrize('bend_type', [xt.Bend, xt.RBend]) @for_all_test_contexts -def test_thin_slice_bend(test_context, bend_type): +def test_thin_slice_bend(test_context, bend_type, tmp_path): if bend_type is xt.Bend: bend = bend_type(k0=0.4, angle=0.3, length=1, @@ -69,8 +69,9 @@ def test_thin_slice_bend(test_context, bend_type): ), }[bend_type] - line.to_json('ttt_thin_bend.json') - line2 = xt.load('ttt_thin_bend.json') + json_path = tmp_path / 'ttt_thin_bend.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..995'], thin_slice_cls) assert line2['e0..995'].parent_name == 'e0' assert line2['e0..995']._parent is None @@ -133,7 +134,7 @@ def test_thin_slice_bend(test_context, bend_type): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thin_slice_quadrupole(test_context): +def test_thin_slice_quadrupole(test_context, tmp_path): quad = xt.Quadrupole(k1=0.1, length=1) @@ -162,8 +163,9 @@ def test_thin_slice_quadrupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thin_quad.json') - line2 = xt.load('ttt_thin_quad.json') + json_path = tmp_path / 'ttt_thin_quad.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..995'], xt.ThinSliceQuadrupole) assert line2['e0..995'].parent_name == 'e0' assert line2['e0..995']._parent is None @@ -212,7 +214,7 @@ def test_thin_slice_quadrupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thin_slice_sextupole(test_context): +def test_thin_slice_sextupole(test_context, tmp_path): sext = xt.Sextupole(k2=0.1, length=1, shift_x=1e-3, shift_y=2e-3, rot_s_rad=0.2 @@ -243,8 +245,9 @@ def test_thin_slice_sextupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thin_sext.json') - line2 = xt.load('ttt_thin_sext.json') + json_path = tmp_path / 'ttt_thin_sext.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThinSliceSextupole) assert line2['e0..0'].parent_name == 'e0' assert line2['e0..0']._parent is None @@ -293,7 +296,7 @@ def test_thin_slice_sextupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thin_slice_octupole(test_context): +def test_thin_slice_octupole(test_context, tmp_path): oct = xt.Octupole(k3=0.1, length=1) @@ -322,8 +325,9 @@ def test_thin_slice_octupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thin_oct.json') - line2 = xt.load('ttt_thin_oct.json') + json_path = tmp_path / 'ttt_thin_oct.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThinSliceOctupole) assert line2['e0..0'].parent_name == 'e0' assert line2['e0..0']._parent is None @@ -372,7 +376,7 @@ def test_thin_slice_octupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thin_slice_drift(test_context): +def test_thin_slice_drift(test_context, tmp_path): drift = xt.Drift(length=1) @@ -399,8 +403,9 @@ def test_thin_slice_drift(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_drift.json') - line2 = xt.load('ttt_drift.json') + json_path = tmp_path / 'ttt_drift.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert line2['drift_e0..0'].parent_name == 'e0' assert line2['drift_e0..0']._parent is None @@ -444,7 +449,7 @@ def test_thin_slice_drift(test_context): @pytest.mark.parametrize('bend_type', [xt.Bend, xt.RBend]) @for_all_test_contexts -def test_thick_slice_bend(test_context, bend_type): +def test_thick_slice_bend(test_context, bend_type, tmp_path): if bend_type is xt.Bend: bend = bend_type(k0=0.4, angle=0.3, length=1, @@ -497,8 +502,9 @@ def test_thick_slice_bend(test_context, bend_type): ), }[bend_type] - line.to_json('ttt_thick_bend.json') - line2 = xt.load('ttt_thick_bend.json') + json_path = tmp_path / 'ttt_thick_bend.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..3'], thick_slice_cls) assert line2['e0..3'].parent_name == 'e0' assert line2['e0..3']._parent is None @@ -527,7 +533,7 @@ def test_thick_slice_bend(test_context, bend_type): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thick_slice_quadrupole(test_context): +def test_thick_slice_quadrupole(test_context, tmp_path): quad = xt.Quadrupole(k1=0.1, length=1) @@ -554,8 +560,9 @@ def test_thick_slice_quadrupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thick_quad.json') - line2 = xt.load('ttt_thick_quad.json') + json_path = tmp_path / 'ttt_thick_quad.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..3'], xt.ThickSliceQuadrupole) assert line2['e0..3'].parent_name == 'e0' assert line2['e0..3']._parent is None @@ -575,7 +582,7 @@ def test_thick_slice_quadrupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thick_slice_sextupole(test_context): +def test_thick_slice_sextupole(test_context, tmp_path): sext = xt.Sextupole(k2=0.1, length=1) @@ -602,8 +609,9 @@ def test_thick_slice_sextupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thick_sext.json') - line2 = xt.load('ttt_thick_sext.json') + json_path = tmp_path / 'ttt_thick_sext.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThickSliceSextupole) assert line2['e0..0'].parent_name == 'e0' assert line2['e0..0']._parent is None @@ -623,7 +631,7 @@ def test_thick_slice_sextupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thick_slice_octupole(test_context): +def test_thick_slice_octupole(test_context, tmp_path): oct = xt.Octupole(k3=0.1, length=1) @@ -650,8 +658,9 @@ def test_thick_slice_octupole(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thick_oct.json') - line2 = xt.load('ttt_thick_oct.json') + json_path = tmp_path / 'ttt_thick_oct.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThickSliceOctupole) assert line2['e0..0'].parent_name == 'e0' assert line2['e0..0']._parent is None @@ -671,7 +680,7 @@ def test_thick_slice_octupole(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thick_slice_solenoid(test_context): +def test_thick_slice_solenoid(test_context, tmp_path): sol = xt.UniformSolenoid(ks=0.1, length=1) @@ -698,8 +707,9 @@ def test_thick_slice_solenoid(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-10) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-10) - line.to_json('ttt_thick_solenoid.json') - line2 = xt.load('ttt_thick_solenoid.json') + json_path = tmp_path / 'ttt_thick_solenoid.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThickSliceUniformSolenoid) assert line2['e0..0'].parent_name == 'e0' assert line2['e0..0']._parent is None @@ -835,7 +845,7 @@ def test_bend_edge_slice_exit(test_context, model): assert_allclose(p1.delta, p3.delta, rtol=0, atol=1e-14) @for_all_test_contexts -def test_thin_slice_bend_with_multipoles(test_context): +def test_thin_slice_bend_with_multipoles(test_context, tmp_path): bend = xt.Bend(k0=0.4, angle=0.3, length=1, k1=0.003, @@ -879,8 +889,9 @@ def test_thin_slice_bend_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_bend_mult.json') - line2 = xt.load('ttt_bend_mult.json') + json_path = tmp_path / 'ttt_bend_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..995'], xt.ThinSliceBend) assert line2['e0..995'].parent_name == 'e0' assert line2['e0..995']._parent is None @@ -943,7 +954,7 @@ def test_thin_slice_bend_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thick_slice_bend_with_multipoles(test_context): +def test_thick_slice_bend_with_multipoles(test_context, tmp_path): bend = xt.Bend(k0=0.4, angle=0.3, length=1, k1=0.003, @@ -983,8 +994,9 @@ def test_thick_slice_bend_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thick_bend_mult.json') - line2 = xt.load('ttt_thick_bend_mult.json') + json_path = tmp_path / 'ttt_thick_bend_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..995'], xt.ThickSliceBend) assert line2['e0..995'].parent_name == 'e0' assert line2['e0..995']._parent is None @@ -1015,7 +1027,7 @@ def test_thick_slice_bend_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-10) @for_all_test_contexts -def test_thin_slice_bend_with_multipoles_bend_off(test_context): +def test_thin_slice_bend_with_multipoles_bend_off(test_context, tmp_path): num_slices = 10 @@ -1060,8 +1072,9 @@ def test_thin_slice_bend_with_multipoles_bend_off(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-14) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-14) - line.to_json('ttt_thin_bend_mult_off.json') - line2 = xt.load('ttt_thin_bend_mult_off.json') + json_path = tmp_path / 'ttt_thin_bend_mult_off.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..5'], xt.ThinSliceBend) assert line2['e0..5'].parent_name == 'e0' assert line2['e0..5']._parent is None @@ -1127,7 +1140,7 @@ def test_thin_slice_bend_with_multipoles_bend_off(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-14) @for_all_test_contexts -def test_thick_slice_quad_with_multipoles(test_context): +def test_thick_slice_quad_with_multipoles(test_context, tmp_path): quad = xt.Quadrupole(k1=1e-3, k1s=2e-3, length=1, knl=[0, 0.001, 0.01, 0.02, 0.04, 0.6], @@ -1158,8 +1171,9 @@ def test_thick_slice_quad_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thick_quad_mult.json') - line2 = xt.load('ttt_thick_quad_mult.json') + json_path = tmp_path / 'ttt_thick_quad_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..5'], xt.ThickSliceQuadrupole) assert line2['e0..5'].parent_name == 'e0' assert line2['e0..5']._parent is None @@ -1180,7 +1194,7 @@ def test_thick_slice_quad_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-8) @for_all_test_contexts -def test_thin_slice_quad_with_multipoles(test_context): +def test_thin_slice_quad_with_multipoles(test_context, tmp_path): quad = xt.Quadrupole(k1=1e-3, k1s=2e-3, length=1, knl=[0, 0.001, 0.01, 0.02, 0.04, 0.6], @@ -1215,8 +1229,9 @@ def test_thin_slice_quad_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thin_quad_mult.json') - line2 = xt.load('ttt_thin_quad_mult.json') + json_path = tmp_path / 'ttt_thin_quad_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..5'], xt.ThinSliceQuadrupole) assert line2['e0..5'].parent_name == 'e0' assert line2['e0..5']._parent is None @@ -1266,7 +1281,7 @@ def test_thin_slice_quad_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-14) @for_all_test_contexts -def test_thin_slice_quad_with_multipoles_quad_off(test_context): +def test_thin_slice_quad_with_multipoles_quad_off(test_context, tmp_path): quad = xt.Quadrupole(k1=0, k1s=0, length=1, knl=[0, 0.001, 0.01, 0.02, 0.04, 0.6], @@ -1303,8 +1318,9 @@ def test_thin_slice_quad_with_multipoles_quad_off(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-14) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-14) - line.to_json('ttt_thin_mult_quad_off.json') - line2 = xt.load('ttt_thin_mult_quad_off.json') + json_path = tmp_path / 'ttt_thin_mult_quad_off.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..5'], xt.ThinSliceQuadrupole) assert line2['e0..5'].parent_name == 'e0' assert line2['e0..5']._parent is None @@ -1357,7 +1373,7 @@ def test_thin_slice_quad_with_multipoles_quad_off(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-14) @for_all_test_contexts -def test_thick_slice_sextupole_with_multipoles(test_context): +def test_thick_slice_sextupole_with_multipoles(test_context, tmp_path): sext = xt.Sextupole(k2=1e-3, k2s=2e-3, length=0.001, # need to make it very short because thick has only one kick in the center @@ -1389,8 +1405,9 @@ def test_thick_slice_sextupole_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thick_sext_mult.json') - line2 = xt.load('ttt_thick_sext_mult.json') + json_path = tmp_path / 'ttt_thick_sext_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThickSliceSextupole) assert line2['e0..1'].parent_name == 'e0' assert line2['e0..1']._parent is None @@ -1411,7 +1428,7 @@ def test_thick_slice_sextupole_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-8) @for_all_test_contexts -def test_thin_slice_sextupole_with_multipoles(test_context): +def test_thin_slice_sextupole_with_multipoles(test_context, tmp_path): sext = xt.Sextupole(k2=1e-3, k2s=2e-3, length=0.001, knl=[0, 0.001, 0.01, 0.02, 0.04, 0.6], @@ -1445,8 +1462,9 @@ def test_thin_slice_sextupole_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thin_sext_mult.json') - line2 = xt.load('ttt_thin_sext_mult.json') + json_path = tmp_path / 'ttt_thin_sext_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..1'], xt.ThinSliceSextupole) assert line2['e0..1'].parent_name == 'e0' assert line2['e0..1']._parent is None @@ -1499,7 +1517,7 @@ def test_thin_slice_sextupole_with_multipoles(test_context): assert_allclose(p_slice.delta, p0.delta, rtol=0, atol=1e-14) @for_all_test_contexts -def test_thick_slice_octupole_with_multipoles(test_context): +def test_thick_slice_octupole_with_multipoles(test_context, tmp_path): oct = xt.Octupole(k3=1e-3, k3s=2e-3, length=0.001, # need to make it very short because thick has only one kick in the center @@ -1530,8 +1548,9 @@ def test_thick_slice_octupole_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_thick_oct_mult.json') - line2 = xt.load('ttt_thick_oct_mult.json') + json_path = tmp_path / 'ttt_thick_oct_mult.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..0'], xt.ThickSliceOctupole) assert line2['e0..1'].parent_name == 'e0' assert line2['e0..1']._parent is None @@ -1553,7 +1572,7 @@ def test_thick_slice_octupole_with_multipoles(test_context): @for_all_test_contexts -def test_thin_slice_octupole_with_multipoles(test_context): +def test_thin_slice_octupole_with_multipoles(test_context, tmp_path): oct = xt.Octupole(k3=1e-3, k3s=-1e-3, length=0.001, knl=[0, 0.001, 0.01, 0.02, 0.04, 0.6], @@ -1587,8 +1606,9 @@ def test_thin_slice_octupole_with_multipoles(test_context): assert_allclose(p_slice.zeta, p_ref.zeta, rtol=0, atol=1e-8) assert_allclose(p_slice.delta, p_ref.delta, rtol=0, atol=1e-8) - line.to_json('ttt_octupole_thin.json') - line2 = xt.load('ttt_octupole_thin.json') + json_path = tmp_path / 'ttt_octupole_thin.json' + line.to_json(json_path) + line2 = xt.load(json_path) assert isinstance(line2['e0..1'], xt.ThinSliceOctupole) assert line2['e0..1'].parent_name == 'e0' assert line2['e0..1']._parent is None diff --git a/tests/test_sps_thick_cpymad_loader.py b/tests/test_sps_thick_cpymad_loader.py index a5ad4105c..0e08ed123 100644 --- a/tests/test_sps_thick_cpymad_loader.py +++ b/tests/test_sps_thick_cpymad_loader.py @@ -15,7 +15,7 @@ @pytest.mark.parametrize('deferred_expressions', [True, False]) @for_all_test_contexts(excluding=('ContextCupy', 'ContextPyopencl')) -def test_sps_thick_cpymad_loader(test_context, deferred_expressions): +def test_sps_thick_cpymad_loader(test_context, deferred_expressions, tmp_path): mad = Madx(stdout=False) mad.call(str(test_data_folder) + '/sps_thick/sps.seq') @@ -194,7 +194,7 @@ def test_sps_thick_cpymad_loader(test_context, deferred_expressions): assert_allclose = np.testing.assert_allclose - line.to_json('sps_cpymad.json') + line.to_json(tmp_path / 'sps_cpymad.json') assert_allclose(tw_backwards.s, tw_edge_linear.s, rtol=0, atol=1e-10) assert_allclose(tw_backwards.x, tw_edge_linear.x, rtol=0, atol=1e-10) @@ -215,4 +215,3 @@ def test_sps_thick_cpymad_loader(test_context, deferred_expressions): rtol=0, atol=1e-10) assert_allclose(tw_backwards.muy[-1] - tw_edge_linear.muy[0], tw_edge_linear.qy, rtol=0, atol=1e-10) - diff --git a/tests/test_survey.py b/tests/test_survey.py index 8cc3c7328..3936da9a0 100644 --- a/tests/test_survey.py +++ b/tests/test_survey.py @@ -402,7 +402,7 @@ def test_survey_with_h_and_v_bends(): xo.assert_allclose(p_mid_no_init[:, 0], 1e-3, atol=1e-14) xo.assert_allclose(p_mid_no_init[:, 1], 2e-3, atol=1e-14) -def test_survey_against_madx_cpymad_loader(): +def test_survey_against_madx_cpymad_loader(sandbox_cwd): from cpymad.madx import Madx mad = Madx() @@ -497,7 +497,7 @@ def test_survey_against_madx_cpymad_loader(): xo.assert_allclose(p[:, 0], 1e-3, atol=1e-14) xo.assert_allclose(p[:, 1], 2e-3, atol=1e-14) -def test_survey_transforms_native_loader(): +def test_survey_transforms_native_loader(sandbox_cwd): from cpymad.madx import Madx @@ -601,4 +601,4 @@ def test_survey_transforms_native_loader(): xo.assert_allclose(sv.s[1:], sv_mad.s[1:-1], atol=1e-14, rtol=0) xo.assert_allclose(p[:, 0], 1e-3, atol=1e-14) - xo.assert_allclose(p[:, 1], 2e-3, atol=1e-14) \ No newline at end of file + xo.assert_allclose(p[:, 1], 2e-3, atol=1e-14) diff --git a/tests/test_thick_kickers_rf_crab.py b/tests/test_thick_kickers_rf_crab.py index 8b06c4d21..07d9b65b0 100644 --- a/tests/test_thick_kickers_rf_crab.py +++ b/tests/test_thick_kickers_rf_crab.py @@ -1,3 +1,4 @@ +import contextlib import pathlib import numpy as np @@ -2016,135 +2017,140 @@ def test_crabcavity_thick_native_loader(): test_data_folder = pathlib.Path( __file__).parent.joinpath('../test_data').absolute() -def test_crab_dispersion_hlllhc_b1_and_b2(): - - mad = Madx() - - mad.input(f""" - call,file="{str(test_data_folder)}/hllhc15_thick/lhc.seq"; - call,file="{str(test_data_folder)}/hllhc15_thick/hllhc_sequence.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/macro.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/enable_crabcavities.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; - - seqedit,sequence=lhcb1;flatten;cycle,start=IP3;flatten;endedit; - seqedit,sequence=lhcb2;flatten;cycle,start=IP3;flatten;endedit; - - exec,mk_beam(7000); - call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; - exec,check_ip(b1); - exec,check_ip(b2); - """) - - mad.input(''' - on_crab1 = -190; - on_crab5 = -190; - on_x1 = 0; - on_x5 = 0; - on_disp = 0; - vrf400 = 0; - lagrf400.b1' = 0.5; - lagrf400.b2' = 0.; - - use, sequence=lhcb1; - use, sequence=lhcb2; - - save, sequence=lhcb1,lhcb2, file="saved_b1b2.madx"; - - ''') - - mad.use('lhcb1') - tw_b1 = xt.Table(mad.twiss(), _copy_cols=True) - tw_b1_t_plus = xt.Table(mad.twiss(t=1e-4), _copy_cols=True) - tw_b1t_minus = xt.Table(mad.twiss(t=-1e-4), _copy_cols=True) - - tw_b1['dx_dz'] = (tw_b1_t_plus['x'] - tw_b1t_minus['x'])/(tw_b1_t_plus['t'] - tw_b1t_minus['t']) - tw_b1['dy_dz'] = (tw_b1_t_plus['y'] - tw_b1t_minus['y'])/(tw_b1_t_plus['t'] - tw_b1t_minus['t']) - - mad.use('lhcb2') - tw_b2 = xt.Table(mad.twiss(), _copy_cols=True) - tw_b2_t_plus = xt.Table(mad.twiss(t=1e-4), _copy_cols=True) - tw_b2t_minus = xt.Table(mad.twiss(t=-1e-4), _copy_cols=True) - - tw_b2['dx_dz'] = (tw_b2_t_plus['x'] - tw_b2t_minus['x'])/(tw_b2_t_plus['t'] - tw_b2t_minus['t']) - tw_b2['dy_dz'] = (tw_b2_t_plus['y'] - tw_b2t_minus['y'])/(tw_b2_t_plus['t'] - tw_b2t_minus['t']) - - print('IP1 - MADX - has known issues on B2!!!') - print(f'B1 - dx_dz: {tw_b1["dx_dz", "ip1:1"]}') - print(f'B2 - dx_dz: {tw_b2["dx_dz", "ip1:1"]}') - print('IP5 - MADX - has known issues on B2!!!') - print(f'B1 - dy_dz: {tw_b1["dy_dz", "ip5:1"]}') - print(f'B2 - dy_dz: {tw_b2["dy_dz", "ip5:1"]}') - - line_b1 = xt.Line.from_madx_sequence(mad.sequence['lhcb1'], deferred_expressions=True) - line_b4 = xt.Line.from_madx_sequence(mad.sequence['lhcb2'], deferred_expressions=True) - - line_b1.particle_ref = xt.Particles(p0c=7e12) - line_b4.particle_ref = xt.Particles(p0c=7e12) - - tw_xs_b1 = line_b1.twiss4d() - tw_xs_b4 = line_b4.twiss4d() - tw_xs_b2 = tw_xs_b4.reverse() - - print('IP1 - Xsuite') - print(f'B1 - dx_zeta: {tw_xs_b1["dx_zeta", "ip1"]}') - print(f'B2 - dx_zeta: {tw_xs_b2["dx_zeta", "ip1"]}') - print(f'B4 - dx_zeta: {tw_xs_b4["dx_zeta", "ip1"]}') - - print('IP5 - Xsuite') - print(f'B1 - dy_zeta: {tw_xs_b1["dy_zeta", "ip5"]}') - print(f'B2 - dy_zeta: {tw_xs_b2["dy_zeta", "ip5"]}') - print(f'B4 - dy_zeta: {tw_xs_b4["dy_zeta", "ip5"]}') - - mad_b4 = Madx() - mad_b4.input(f""" - mylhcbeam=4; - call,file="{str(test_data_folder)}/hllhc15_thick/lhcb4.seq"; - call,file="{str(test_data_folder)}/hllhc15_thick/hllhc_sequence.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/macro.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/enable_crabcavities.madx"; - call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; - - seqedit,sequence=lhcb2;flatten;cycle,start=IP3;flatten;endedit; - - exec,mk_beam(7000); - call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; - exec,check_ip(b2); - """) - - mad_b4.input(''' - on_crab1 = -190; - on_crab5 = -190; - on_x1 = 0; - on_x5 = 0; - on_disp = 0; - vrf400 = 0; - lagrf400.b1' = 0.5; - lagrf400.b2' = 0.; - - use, sequence=lhcb2; - - save, sequence=lhcb2, file="saved_b4.madx"; - - ''') - - line_b4_mad = xt.Line.from_madx_sequence(mad_b4.sequence['lhcb2'], deferred_expressions=True) - line_b4_mad.particle_ref = xt.Particles(p0c=7e12) - - tw_b4_mad = line_b4_mad.twiss4d() - tw_b2_mad = tw_b4_mad.reverse() - - env_b1b2 = xt.load("saved_b1b2.madx") - env_b1b2.lhcb1.particle_ref = xt.Particles(p0c=7e12) - env_b1b2.lhcb2.particle_ref = xt.Particles(p0c=7e12) - tw_b1_b1b2 = env_b1b2.lhcb1.twiss4d() - tw_b2_b1b2 = env_b1b2.lhcb2.twiss4d() - tw_b4_b1b2 = tw_b2_b1b2.reverse() - - env_b4 = xt.load("saved_b4.madx") - env_b4.lhcb2.particle_ref = xt.Particles(p0c=7e12) - tw_b4_b4 = env_b4.lhcb2.twiss4d() - tw_b2_b4 = tw_b4_b4.reverse() +def test_crab_dispersion_hlllhc_b1_and_b2(tmp_path): + + with contextlib.chdir(tmp_path): + mad = Madx() + + mad.input(f""" + call,file="{str(test_data_folder)}/hllhc15_thick/lhc.seq"; + call,file="{str(test_data_folder)}/hllhc15_thick/hllhc_sequence.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/macro.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/enable_crabcavities.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; + + seqedit,sequence=lhcb1;flatten;cycle,start=IP3;flatten;endedit; + seqedit,sequence=lhcb2;flatten;cycle,start=IP3;flatten;endedit; + + exec,mk_beam(7000); + call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; + exec,check_ip(b1); + exec,check_ip(b2); + """) + + saved_b1b2 = tmp_path / "saved_b1b2.madx" + + mad.input(f''' + on_crab1 = -190; + on_crab5 = -190; + on_x1 = 0; + on_x5 = 0; + on_disp = 0; + vrf400 = 0; + lagrf400.b1' = 0.5; + lagrf400.b2' = 0.; + + use, sequence=lhcb1; + use, sequence=lhcb2; + + save, sequence=lhcb1,lhcb2, file="{saved_b1b2}"; + + ''') + + mad.use('lhcb1') + tw_b1 = xt.Table(mad.twiss(), _copy_cols=True) + tw_b1_t_plus = xt.Table(mad.twiss(t=1e-4), _copy_cols=True) + tw_b1t_minus = xt.Table(mad.twiss(t=-1e-4), _copy_cols=True) + + tw_b1['dx_dz'] = (tw_b1_t_plus['x'] - tw_b1t_minus['x'])/(tw_b1_t_plus['t'] - tw_b1t_minus['t']) + tw_b1['dy_dz'] = (tw_b1_t_plus['y'] - tw_b1t_minus['y'])/(tw_b1_t_plus['t'] - tw_b1t_minus['t']) + + mad.use('lhcb2') + tw_b2 = xt.Table(mad.twiss(), _copy_cols=True) + tw_b2_t_plus = xt.Table(mad.twiss(t=1e-4), _copy_cols=True) + tw_b2t_minus = xt.Table(mad.twiss(t=-1e-4), _copy_cols=True) + + tw_b2['dx_dz'] = (tw_b2_t_plus['x'] - tw_b2t_minus['x'])/(tw_b2_t_plus['t'] - tw_b2t_minus['t']) + tw_b2['dy_dz'] = (tw_b2_t_plus['y'] - tw_b2t_minus['y'])/(tw_b2_t_plus['t'] - tw_b2t_minus['t']) + + print('IP1 - MADX - has known issues on B2!!!') + print(f'B1 - dx_dz: {tw_b1["dx_dz", "ip1:1"]}') + print(f'B2 - dx_dz: {tw_b2["dx_dz", "ip1:1"]}') + print('IP5 - MADX - has known issues on B2!!!') + print(f'B1 - dy_dz: {tw_b1["dy_dz", "ip5:1"]}') + print(f'B2 - dy_dz: {tw_b2["dy_dz", "ip5:1"]}') + + line_b1 = xt.Line.from_madx_sequence(mad.sequence['lhcb1'], deferred_expressions=True) + line_b4 = xt.Line.from_madx_sequence(mad.sequence['lhcb2'], deferred_expressions=True) + + line_b1.particle_ref = xt.Particles(p0c=7e12) + line_b4.particle_ref = xt.Particles(p0c=7e12) + + tw_xs_b1 = line_b1.twiss4d() + tw_xs_b4 = line_b4.twiss4d() + tw_xs_b2 = tw_xs_b4.reverse() + + print('IP1 - Xsuite') + print(f'B1 - dx_zeta: {tw_xs_b1["dx_zeta", "ip1"]}') + print(f'B2 - dx_zeta: {tw_xs_b2["dx_zeta", "ip1"]}') + print(f'B4 - dx_zeta: {tw_xs_b4["dx_zeta", "ip1"]}') + + print('IP5 - Xsuite') + print(f'B1 - dy_zeta: {tw_xs_b1["dy_zeta", "ip5"]}') + print(f'B2 - dy_zeta: {tw_xs_b2["dy_zeta", "ip5"]}') + print(f'B4 - dy_zeta: {tw_xs_b4["dy_zeta", "ip5"]}') + + mad_b4 = Madx() + mad_b4.input(f""" + mylhcbeam=4; + call,file="{str(test_data_folder)}/hllhc15_thick/lhcb4.seq"; + call,file="{str(test_data_folder)}/hllhc15_thick/hllhc_sequence.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/macro.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/enable_crabcavities.madx"; + call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; + + seqedit,sequence=lhcb2;flatten;cycle,start=IP3;flatten;endedit; + + exec,mk_beam(7000); + call,file="{str(test_data_folder)}/hllhc15_thick/opt_round_150_1500.madx"; + exec,check_ip(b2); + """) + + saved_b4 = tmp_path / "saved_b4.madx" + + mad_b4.input(f''' + on_crab1 = -190; + on_crab5 = -190; + on_x1 = 0; + on_x5 = 0; + on_disp = 0; + vrf400 = 0; + lagrf400.b1' = 0.5; + lagrf400.b2' = 0.; + + use, sequence=lhcb2; + + save, sequence=lhcb2, file="{saved_b4}"; + + ''') + + line_b4_mad = xt.Line.from_madx_sequence(mad_b4.sequence['lhcb2'], deferred_expressions=True) + line_b4_mad.particle_ref = xt.Particles(p0c=7e12) + + tw_b4_mad = line_b4_mad.twiss4d() + tw_b2_mad = tw_b4_mad.reverse() + + env_b1b2 = xt.load(saved_b1b2) + env_b1b2.lhcb1.particle_ref = xt.Particles(p0c=7e12) + env_b1b2.lhcb2.particle_ref = xt.Particles(p0c=7e12) + tw_b1_b1b2 = env_b1b2.lhcb1.twiss4d() + tw_b2_b1b2 = env_b1b2.lhcb2.twiss4d() + tw_b4_b1b2 = tw_b2_b1b2.reverse() + + env_b4 = xt.load(saved_b4) + env_b4.lhcb2.particle_ref = xt.Particles(p0c=7e12) + tw_b4_b4 = env_b4.lhcb2.twiss4d() + tw_b2_b4 = tw_b4_b4.reverse() xo.assert_allclose(tw_xs_b1["dx_zeta", "ip1"], -190e-6, rtol=3e-3) xo.assert_allclose(tw_b1_b1b2["dx_zeta", "ip1"], -190e-6, rtol=3e-3) diff --git a/tests/test_thick_lhc.py b/tests/test_thick_lhc.py index 0ddbf6d46..0edbe4f28 100644 --- a/tests/test_thick_lhc.py +++ b/tests/test_thick_lhc.py @@ -13,7 +13,7 @@ __file__).parent.joinpath('../test_data').absolute() @for_all_test_contexts -def test_cpymad_madloader_lhc_thick(test_context): +def test_cpymad_madloader_lhc_thick(test_context, sandbox_cwd): mad = Madx(stdout=False) mad.input(f""" diff --git a/tests/test_twiss.py b/tests/test_twiss.py index 38b6a8a70..5f90e37e6 100644 --- a/tests/test_twiss.py +++ b/tests/test_twiss.py @@ -1676,7 +1676,7 @@ def test_second_order_chromaticity_and_dispersion(test_context, method): xo.assert_allclose(tw_part['dpy'], tw_bw.rows[:-1]['dpy'], atol=1e-3, rtol=0) @for_all_test_contexts(excluding=('ContextCupy', 'ContextPyopencl')) -def test_twiss_strength_reverse_vs_madx(test_context): +def test_twiss_strength_reverse_vs_madx(test_context, sandbox_cwd): test_data_folder_str = str(test_data_folder) @@ -1822,7 +1822,7 @@ def test_twiss_range_start_end(test_context, line_name, section, collider_for_te xo.assert_allclose(tw_test._data[kk], tw_ref._data[kk], rtol=1e-12, atol=5e-13) @for_all_test_contexts -def test_arbitrary_start(test_context, collider_for_test_twiss_range): +def test_arbitrary_start(test_context, collider_for_test_twiss_range, tmp_path): collider = collider_for_test_twiss_range @@ -1870,7 +1870,7 @@ def test_arbitrary_start(test_context, collider_for_test_twiss_range): tw[ 'betx', ['ip8', 'ip1', 'ip2', 'ip3', 'ip4', 'ip5', 'ip6', 'ip7']], rtol=1e-5, atol=0) - collider.to_json('ok.json') + collider.to_json(tmp_path / 'ok.json') @for_all_test_contexts def test_part_from_full_periodic(test_context, collider_for_test_twiss_range): diff --git a/xtrack/aperture/__init__.py b/xtrack/aperture/__init__.py new file mode 100644 index 000000000..a1f76eaeb --- /dev/null +++ b/xtrack/aperture/__init__.py @@ -0,0 +1,2 @@ +from xtrack.aperture.aperture import Aperture +from xtrack.aperture.builder import ApertureBuilder diff --git a/xtrack/aperture/aperture.py b/xtrack/aperture/aperture.py new file mode 100644 index 000000000..61920d2c5 --- /dev/null +++ b/xtrack/aperture/aperture.py @@ -0,0 +1,1817 @@ +from __future__ import annotations + +import re +from collections.abc import Collection +from typing import Any, Dict, Iterable, List, Literal, Optional, Tuple, cast + +import numpy as np + +import xobjects as xo +from xdeps.table import Table +from xobjects.context import XContext +from xtrack import TwissInit, TwissTable +from xtrack.aperture.profile_converters import ( + LimitTypes, profile_from_limit_element, profile_from_madx_aperture +) +from xtrack.aperture.structures import ( + ApertureBounds, ApertureModel, BeamData, Circle, FloatType, Pipe, + PipePosition, Profile, ProfilePolygons, ProfilePosition, Racetrack, + Rectangle, RectEllipse, ShapeTypes, SurveyData, TwissData +) +from xtrack.aperture.transform import ( + Transform, matrix_to_transform, transform_matrix +) +from xtrack.json import dump as json_dump +from xtrack.json import load as json_load +from xtrack.line import Line +from xtrack.progress_indicator import progress +from xtrack.survey import survey_relative_transform + +DTypeFloat = np.dtype[FloatType._dtype] +NDArrayNx2 = np.ndarray[Tuple[int, Literal[2]], DTypeFloat] +NDArrayNxMx2 = np.ndarray[Tuple[int, int, Literal[2]], DTypeFloat] +HomogenousMatrix = np.ndarray[Tuple[Literal[4], Literal[4]], DTypeFloat] +HomogenousMatrices = np.ndarray[Tuple[int, Literal[4], Literal[4]], DTypeFloat] + + +class ProfileView: + __slots__ = ('_model', '_index') + + def __init__(self, model: ApertureModel, index: int): + self._model = model + self._index = index + + def __repr__(self): + return f'' + + @property + def raw(self) -> Profile: + return self._model.profiles[self._index] + + @property + def name(self) -> str: + return self._model.profile_names[self._index] + + @property + def shape(self) -> ShapeTypes: + return self.raw.shape # noqa: xobjects + + @shape.setter + def shape(self, shape: ShapeTypes): + self.raw.shape = shape + + @property + def tol_r(self) -> float: + return self.raw.tol_r + + @tol_r.setter + def tol_r(self, tol_r: float): + self.raw.tol_r = tol_r + + @property + def tol_x(self) -> float: + return self.raw.tol_x + + @tol_x.setter + def tol_x(self, tol_x: float): + self.raw.tol_x = tol_x + + @property + def tol_y(self) -> float: + return self.raw.tol_y + + @tol_y.setter + def tol_y(self, tol_y: float): + self.raw.tol_y = tol_y + + def plot(self, len_points=128, ax=None): + ax = self.raw.plot(len_points=len_points, ax=ax, c='black', label='Aperture') + + if self.tol_x or self.tol_y or self.tol_r: + tol_rt = Racetrack( + half_width=self.tol_x + self.tol_r, + half_height=self.tol_y + self.tol_r, + half_major=self.tol_r, + half_minor=self.tol_r, + ) + Profile(shape=tol_rt).plot(len_points=len_points, ax=ax, c='black', linestyle='--', label='Tolerances') + + ax.set_title(f'Profile {self.name}') + ax.legend() + return ax + + +class ProfilesView: + __slots__ = ('_model',) + + def __init__(self, model: ApertureModel): + self._model = model + + def __repr__(self): + count = len(self) + profiles_str = 'profile' if count == 1 else 'profiles' + return f'' + + def __getitem__(self, item: str | int): + if isinstance(item, str): + item = self._model.profile_names.index(item) + + return ProfileView(self._model, item) + + def __len__(self) -> int: + return len(self._model.profiles) + + def __iter__(self): + for ii in range(len(self)): + yield self[ii] + + def keys(self): + return self._model.profile_names + + def values(self): + return list(self) + + def items(self): + return zip(self.keys(), self.values()) + + def search(self, pattern: str): + regex = re.compile(pattern) + matches = [name for name in self.keys() if regex.match(name)] + return matches + + +class PipePositionView: + __slots__ = ('_model', '_index') + + def __init__(self, model: ApertureModel, index: int): + self._model = model + self._index = index + + def __repr__(self): + shift_and_rot = self.get_transform() + non_zero_transform = { + field: value + for field in shift_and_rot._fields + if (value := getattr(shift_and_rot, field)) + } + transform = ''.join(f', {k} = {v}' for k, v in non_zero_transform.items()) + + return (f'') + + @property + def raw(self) -> PipePosition: + return self._model.pipe_positions[self._index] + + @property + def name(self) -> str: + return self._model.pipe_position_names[self._index] + + @property + def pipe_index(self) -> int: + return self.raw.pipe_index + + @pipe_index.setter + def pipe_index(self, pipe_index: int): + self.raw.pipe_index = pipe_index + + @property + def type_index(self) -> int: + return self.pipe_index + + @type_index.setter + def type_index(self, type_index: int): + self.pipe_index = type_index + + @property + def pipe(self) -> PipeView: + return PipeView(self._model, self.pipe_index) + + @property + def type(self) -> PipeView: + return self.pipe + + @property + def survey_reference_name(self) -> str: + return self.raw.survey_reference_name # noqa: xobjects + + @survey_reference_name.setter + def survey_reference_name(self, survey_reference_name: str): + self.raw.survey_reference_name = survey_reference_name + + @property + def survey_index(self) -> int: + return self.raw.survey_index + + @survey_index.setter + def survey_index(self, survey_index: int): + self.raw.survey_index = survey_index + + @property + def transformation(self): + return self.raw.transformation.to_nplike() + + @transformation.setter + def transformation(self, transformation): + self.raw.transformation = transformation + + def get_transform(self) -> Transform: + return matrix_to_transform(self.transformation) + + def set_transform(self, transform: Transform): + matrix = transform_matrix(**transform._asdict()) + self.raw.transformation.to_nplike()[:] = matrix + + @property + def shift_x(self) -> float: + return self.get_transform().shift_x + + @shift_x.setter + def shift_x(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['shift_x'] = value + self.set_transform(Transform(**as_dict)) + + @property + def shift_y(self) -> float: + return self.get_transform().shift_y + + @shift_y.setter + def shift_y(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['shift_y'] = value + self.set_transform(Transform(**as_dict)) + + @property + def shift_z(self) -> float: + return self.get_transform().shift_z + + @shift_z.setter + def shift_z(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['shift_z'] = value + self.set_transform(Transform(**as_dict)) + + @property + def rot_y_rad(self) -> float: + return self.get_transform().rot_y_rad + + @rot_y_rad.setter + def rot_y_rad(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['rot_y_rad'] = value + self.set_transform(Transform(**as_dict)) + + @property + def rot_x_rad(self) -> float: + return self.get_transform().rot_x_rad + + @rot_x_rad.setter + def rot_x_rad(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['rot_x_rad'] = value + self.set_transform(Transform(**as_dict)) + + @property + def rot_z_rad(self) -> float: + return self.get_transform().rot_z_rad + + @rot_z_rad.setter + def rot_z_rad(self, value: float): + as_dict = self.get_transform()._asdict() + as_dict['rot_z_rad'] = value + self.set_transform(Transform(**as_dict)) + +class PipePositionsView: + __slots__ = ('_model',) + + def __init__(self, model: ApertureModel): + self._model = model + + def __repr__(self): + count = len(self) + positions_str = 'pipe position' if count == 1 else 'pipe positions' + return f'' + + def __getitem__(self, item: str | int): + if isinstance(item, str): + item = self._model.pipe_position_names.index(item) + + return PipePositionView(self._model, item) + + def __len__(self) -> int: + return len(self._model.pipe_positions) + + def __iter__(self): + for ii in range(len(self)): + yield self[ii] + + def keys(self): + return self._model.pipe_position_names + + def values(self): + return list(self) + + def items(self): + return zip(self.keys(), self.values()) + + def search(self, pattern: str): + regex = re.compile(pattern) + matches = [name for name in self.keys() if regex.match(name)] + return matches + + +class ProfilePositionView: + __slots__ = ('_model', '_pipe_index', '_position_index') + + def __init__(self, model: ApertureModel, pipe_index: int, position_index: int): + self._model = model + self._pipe_index = pipe_index + self._position_index = position_index + + def __repr__(self): + return f'' + + @property + def raw(self) -> ProfilePosition: + return self._model.pipes[self._pipe_index].positions[self._position_index] + + @property + def profile_index(self) -> int: + return self.raw.profile_index + + @profile_index.setter + def profile_index(self, profile_index: int): + self.raw.profile_index = profile_index + + @property + def profile(self) -> ProfileView: + return ProfileView(self._model, self.profile_index) + + @property + def shift_s(self) -> float: + return self.raw.shift_s + + @shift_s.setter + def shift_s(self, shift_s: float): + self.raw.shift_s = shift_s + + @property + def s_position(self) -> float: + return self.shift_s + + @s_position.setter + def s_position(self, s_position: float): + self.shift_s = s_position + + @property + def shift_x(self) -> float: + return self.raw.shift_x + + @shift_x.setter + def shift_x(self, shift_x: float): + self.raw.shift_x = shift_x + + @property + def shift_y(self) -> float: + return self.raw.shift_y + + @shift_y.setter + def shift_y(self, shift_y: float): + self.raw.shift_y = shift_y + + @property + def rot_x_rad(self) -> float: + return self.raw.rot_x_rad + + @rot_x_rad.setter + def rot_x_rad(self, rot_x_rad: float): + self.raw.rot_x_rad = rot_x_rad + + @property + def rot_y_rad(self) -> float: + return self.raw.rot_y_rad + + @rot_y_rad.setter + def rot_y_rad(self, rot_y_rad: float): + self.raw.rot_y_rad = rot_y_rad + + @property + def rot_s_rad(self) -> float: + return self.raw.rot_s_rad + + @rot_s_rad.setter + def rot_s_rad(self, rot_s_rad: float): + self.raw.rot_s_rad = rot_s_rad + +class PipeView: + __slots__ = ('_model', '_index') + + def __init__(self, model: ApertureModel, index: int): + self._model = model + self._index = index + + def __repr__(self): + curved_str = f', curvature = {self.curvature}' if self.curvature else '' + len_positions = len(self) + return f'' + + def __getitem__(self, item: int): + if isinstance(item, slice): + indices = range(*item.indices(len(self))) + return [ProfilePositionView(self._model, self._index, ii) for ii in indices] + + return ProfilePositionView(self._model, self._index, item) + + @property + def raw(self) -> Pipe: + return self._model.pipes[self._index] + + @property + def name(self) -> str: + return self._model.pipe_names[self._index] + + @property + def curvature(self) -> float: + return self.raw.curvature + + def __len__(self) -> int: + return len(self.raw.positions) + + def __iter__(self): + for ii in range(len(self)): + yield self[ii] + + @property + def length(self): + s_end = self.raw.positions[len(self) - 1].shift_s + s_start = self.raw.positions[0].shift_s + return s_end - s_start + + @property + def angle(self): + return self.length * self.curvature + + @curvature.setter + def curvature(self, curvature: float): + self.raw.curvature = curvature + + def values(self): + return list(self) + + +class PipesView: + __slots__ = ('_model',) + + def __init__(self, model: ApertureModel): + self._model = model + + def __repr__(self): + count = len(self) + pipes_str = 'pipe' if count == 1 else 'pipes' + return f'' + + def __getitem__(self, item: str | int): + if isinstance(item, str): + item = self._model.pipe_names.index(item) + + return PipeView(self._model, item) + + def __len__(self) -> int: + return len(self._model.pipes) + + def __iter__(self): + for ii in range(len(self)): + yield self[ii] + + def keys(self): + return self._model.pipe_names + + def values(self): + return list(self) + + def items(self): + return zip(self.keys(), self.values()) + + def search(self, pattern: str): + regex = re.compile(pattern) + matches = [name for name in self.keys() if regex.match(name)] + return matches + + +TypePositionView = PipePositionView +TypePositionsView = PipePositionsView +TypeView = PipeView +TypesView = PipesView + + +class Aperture: + halo_params = { + "emitx_norm": 3.5e-6, # normalized emittance x + "emity_norm": 3.5e-6, # normalized emittance y + "delta_rms": 0.0, # rms energy spread + "tol_co": 0.0, # tolerance for closed orbit + "tol_disp": 0.0, # tolerance for normalized dispersion + "tol_disp_ref": 1.8, # tolerance for reference dispersion derivative + "tol_disp_ref_beta": 170, # tolerance for reference dispersion beta + "tol_beta_beating": 1.0, # tolerance for beta beating in sigma + "halo_x": 6.0, # n sigma of horizontal halo + "halo_y": 6.0, # n sigma of vertical halo + "halo_r": 6.0, # n sigma of 45 degree halo + "halo_primary": 6.0, # n sigma of primary halo + } + + def __init__( + self, + line: Line, + model: ApertureModel, + num_profile_points: int = 128, + halo_params: Optional[dict] = None, + context: Optional[XContext] = None, + s_tol=1e-6, + _skip_validity_check=False, + ): + self.line = line + self._model = model # positioning of pipes in line frame + self.halo_params = self.halo_params.copy() + self.context = context or xo.ContextCpu() + self.s_tol = s_tol + + self.survey = line.survey() + + if not _skip_validity_check: + self._check_model_validity() + + self._survey_data = SurveyData.from_survey_table(self.survey, context=self.context) + self.num_profile_points = num_profile_points + + self._aperture_bounds: Optional[ApertureBounds] = None + self._profile_polygons: Optional[ProfilePolygons] = None + self._build_aperture_bounds(check_validity=not _skip_validity_check) + + if halo_params is not None: + self.halo_params.update(halo_params) + + @property + def profiles(self) -> ProfilesView: + return ProfilesView(self._model) + + @property + def pipe_positions(self) -> PipePositionsView: + return PipePositionsView(self._model) + + @property + def pipes(self) -> PipesView: + return PipesView(self._model) + + @property + def type_positions(self): + return self.pipe_positions + + @property + def types(self): + return self.pipes + + def to_json(self, filename): + json = { + 'model': self._model.to_dict(), + 'halo_params': self.halo_params, + } + json_dump(json, filename) + + @classmethod + def from_json(cls, filename, line, **kwargs): + context = kwargs.pop('context', None) + if context is None: + context = getattr(line, '_context', None) + json = json_load(filename) + model = ApertureModel(**json['model'], _context=context) + halo_params = json['halo_params'] + return cls( + line=line, + model=model, + halo_params=halo_params, + context=context, + **kwargs, + ) + + @classmethod + def from_line_with_madx_metadata(cls, line, include_offsets=True, context=None, **kwargs): + survey = line.survey() + survey_names = survey.name[:-1] # _end_point is not an element + name_to_sv_index = dict(zip(survey.name, range(len(survey)))) + layout_data = line.metadata['layout_data'] + + if include_offsets: + aperture_offsets = cls._get_per_type_madx_offsets(line.metadata.get('aperture_offsets', {})) + else: + aperture_offsets = {} + + name_iter_with_progress = progress( + survey_names, + desc="Building apertures", + total=len(survey_names), + ) + + profiles = [] + pipes = [] + aperture_indices = {} + pipe_positions_list = [] + pipe_position_names = [] + + for element_name in name_iter_with_progress: + element = line.element_dict[element_name] + + # Discard line name suffix to get the aperture name + aper_name = cls._guess_original_mad_name(element_name) + if aper_name not in layout_data: + continue + + offset_data = aperture_offsets.get(aper_name, {}) + + if offset_data: + rel_survey_mat = survey_relative_transform(survey, offset_data['survey_ref'], element_name) + s_ref = rel_survey_mat[2, 3] + matrix = transform_matrix( + shift_x=offset_data['x'], + shift_y=offset_data['y'], + shift_z=s_ref, + ) + survey_reference_name = offset_data['survey_ref'] + else: + matrix = np.identity(4) + survey_reference_name = element_name + + if aper_name not in aperture_indices: + element_metadata = layout_data[aper_name] + + if 'aperture' not in element_metadata: + continue + + shape_name, params, tols = element_metadata['aperture'] + shape = profile_from_madx_aperture(shape_name, params) + + if not shape: + # There is not really an aperture here, continue + continue + + if cls._is_broken_madx_aperture(shape): + continue + + tol_r, tol_x, tol_y = tols + profile = Profile(shape=shape, tol_r=tol_r, tol_x=tol_x, tol_y=tol_y) + + assert len(pipes) == len(profiles) # in MAD-X we will have just one pipe per profile + + aper_idx = len(pipes) + + if element.isthick and not offset_data: + # Place two profiles on either side of the element + position_entry = ProfilePosition(profile_index=aper_idx) + position_exit = ProfilePosition(profile_index=aper_idx, shift_s=element.length) + positions = [position_entry, position_exit] + # If no MAD-X offset data is present, the curvature follows + # the element + curvature = getattr(element, 'h', 0) + elif element.isthick and offset_data: + # If MAD-X offset data is given, place profiles + # on the described parabola with 10cm resolution + length = element.length + positions = [] + + for s in np.linspace(0, length, max(2, int(length / 0.1))): + position = ProfilePosition(profile_index=aper_idx) + position.shift_s = s + position.shift_x = s * offset_data['dx'] + s**2 * offset_data['ddx'] + position.shift_y = s * offset_data['dy'] + s**2 * offset_data['ddy'] + positions.append(position) + + # If we have offset data, assume the type is straight + curvature = 0 + else: + # Place a single profile for a thin element + positions = [ProfilePosition(profile_index=aper_idx)] + curvature = 0 + + aperture_indices[aper_name] = aper_idx + + pipe = Pipe(curvature=curvature, positions=positions) + pipes.append(pipe) + profiles.append(profile) + + pipe_position = PipePosition( + pipe_index=aperture_indices[aper_name], + survey_reference_name=survey_reference_name, + survey_index=name_to_sv_index[survey_reference_name], + transformation=matrix, + ) + pipe_positions_list.append(pipe_position) + pipe_position_names.append(aper_name) + + aperture = cls._build_aperture_model( + line=line, + pipe_indices=aperture_indices, + pipe_list=pipes, + pipe_position_list=pipe_positions_list, + pipe_position_names=pipe_position_names, + profile_indices=aperture_indices, + profile_list=profiles, + context=context, + **kwargs, + ) + return aperture + + @classmethod + def from_line_with_associated_apertures(cls, line, context=None, **kwargs): + survey = line.survey() + survey_names = survey.name[:-1] # _end_point is not an element + name_to_sv_index = dict(zip(survey.name, range(len(survey_names)))) + + profiles = [] + pipes = [] + aperture_indices = {} + pipe_positions_list = [] + pipe_position_names = [] + + for survey_name in progress(survey_names, desc="Building aperture data", total=len(survey_names)): + # Discard line name suffix to get the aperture name + element = line[survey_name] + aper_name = getattr(element, 'name_associated_aperture', None) + + if not aper_name: + continue + + aper_element = line.element_dict[aper_name] + + if aper_name not in aperture_indices: + profile, offset_x, offset_y = profile_from_limit_element(aper_element) + + assert len(pipes) == len(profiles) # in Xsuite with associated apertures we will have just one pipe per profile + + aper_idx = len(pipes) + aperture_indices[aper_name] = aper_idx + + profile_position = ProfilePosition(profile_index=aper_idx) + profile_position.shift_x = offset_x + profile_position.shift_y = offset_y + + if aper_element.transformations_active: + # Apply associated-aperture transforms in the local profile frame so + # they follow the curved pipe geometry when transported along it. + profile_position.shift_s = aper_element.shift_s + profile_position.shift_x += aper_element.shift_x + profile_position.shift_y += aper_element.shift_y + profile_position.rot_x_rad = aper_element.rot_x_rad + profile_position.rot_y_rad = aper_element.rot_y_rad + profile_position.rot_s_rad = aper_element.rot_s_rad_no_frame + + if element.isthick: + # Place two profiles on either side of the element + profile_position_start = profile_position + profile_position_end = profile_position.copy() + profile_position_end.shift_s += element.length + positions = [profile_position_start, profile_position_end] + curvature = getattr(element, 'h', 0) + else: + # Place single profile at center of element + positions = [profile_position] + curvature = 0 + + pipe = Pipe(curvature=curvature, positions=positions) + pipes.append(pipe) + + profiles.append(Profile(shape=profile)) + + # Apply element transformations to pipe position + if element.transformations_active: + # TODO: Need to correctly handle the situation where both the element and the aperture are misaligned. + # The matrix then needs to combine the two in a correct way. Curvature will probably complicate this + # even more. + raise NotImplementedError('Aperture model not yet supported with element transformations.') + + pipe_position = PipePosition( + pipe_index=aperture_indices[aper_name], + survey_reference_name=survey_name, + survey_index=name_to_sv_index[survey_name], + transformation=np.identity(4), + ) + pipe_positions_list.append(pipe_position) + pipe_position_names.append(aper_name) + + aperture = cls._build_aperture_model( + line=line, + pipe_indices=aperture_indices, + pipe_list=pipes, + pipe_position_list=pipe_positions_list, + pipe_position_names=pipe_position_names, + profile_indices=aperture_indices, + profile_list=profiles, + context=context, + **kwargs, + ) + return aperture + + @classmethod + def from_line_with_limits(cls, line, context=None, **kwargs): + survey = line.survey() + survey_names = survey.name[:-1] # _end_point is not a limit + name_to_sv_index = dict(zip(survey.name, range(len(survey_names)))) + + profiles = [] + pipe_list = [] + indices = {} + pipe_positions_list = [] + pipe_position_names = [] + + aper_idx = 0 + + for name in progress(survey_names, desc="Building aperture data", total=len(survey_names)): + element = line[name] + if not isinstance(element, LimitTypes): + continue + + indices[name] = aper_idx + profile, center_x, center_y = profile_from_limit_element(element) + profiles.append(Profile(shape=profile)) + + profile_position = ProfilePosition(profile_index=aper_idx) + if element.transformations_active: + profile_position.shift_s = element.shift_s + profile_position.shift_x = element.shift_x + profile_position.shift_y = element.shift_y + # TODO: Is this really how it should be?? + profile_position.rot_s_rad = element.rot_s_rad_no_frame + profile_position.rot_x_rad = element.rot_x_rad + profile_position.rot_y_rad = element.rot_y_rad + + pipe = Pipe(curvature=0, positions=[profile_position]) + pipe_list.append(pipe) + + pipe_position = PipePosition( + pipe_index=aper_idx, + survey_reference_name=name, + survey_index=name_to_sv_index[name], + transformation=np.identity(4), + ) + pipe_positions_list.append(pipe_position) + pipe_position_names.append(name) + + aper_idx += 1 + + aperture = cls._build_aperture_model( + line=line, + pipe_indices=indices, + pipe_list=pipe_list, + pipe_position_list=pipe_positions_list, + pipe_position_names=pipe_position_names, + profile_indices=indices, + profile_list=profiles, + context=context, + **kwargs, + ) + return aperture + + def polygon_for_profile(self, profile: Profile, num_points: int) -> NDArrayNx2: + return profile.build_polygon(len_points=num_points) + + @classmethod + def _build_aperture_model( + cls, + line: Line, + pipe_indices: Dict[str, int], + pipe_list: List[Pipe], + pipe_position_list: List[PipePosition], + pipe_position_names: List[str], + profile_indices: Dict[str, int], + profile_list: List[ShapeTypes], + context: XContext, + **kwargs, + ) -> 'Aperture': + """Build the Aperture class and its comprising xobjects. + + Parameters + ---------- + line + The line for which the aperture model is built. + pipe_indices + A mapping between the name of an aperture pipe and its index in ``pipe_list``. + pipe_list + List of aperture pipes featured in the model. + pipe_position_list + List of aperture pipe positions that define the model. + pipe_position_names + Names of all aperture pipe positions in ``pipe_position_list`` order. + profile_indices + A mapping between the name of an aperture pipe and its index in ``profile_list``. + profile_list + List of all profiles featured in the model. The order must be consistent with the indices used inside + each of the pipe definitions in ``pipe_list``. + kwargs + Further parameters to be passed to the initialiser of `Aperture`. + """ + if list(pipe_indices.values()) != list(range(len(pipe_list))): + raise ValueError('Expected pipe_indices to be ordered by index') + + if list(profile_indices.values()) != list(range(len(profile_indices))): + raise ValueError('Expected profile_indices to be ordered by index') + + context = context or xo.ContextCpu() + + model = ApertureModel( + pipe_positions=pipe_position_list, + pipes=pipe_list, + profiles=profile_list, + pipe_names=list(pipe_indices.keys()), + pipe_position_names=pipe_position_names, + profile_names=list(profile_indices.keys()), + _context=context, + ) + + aperture = cls( + line=line, + model=model, + context=context, + **kwargs, + ) + + return aperture + + def get_aperture_sigmas_at_element( + self, + element_name: str, + resolution: Optional[float] = None, + twiss: Optional[TwissTable] = None, + **kwargs, + ) -> Tuple[Table, TwissTable]: + """Compute the maximum number of sigmas at which the beam fits in the aperture at element ``element_name``. + + Parameters + ---------- + elment_name + The name of the element at which the sigmas should be computed. + resolution + The desired resolution, in meters along s, at which the sigmas should be computed. If not provided only the + values at the entry and exit will be output. + twiss + Optionally provided twiss table from which to derive the initial beam parameters at the element. + **kwargs + Other parameters to be forwarded to :meth:`get_aperture_sigmas_at_s`. + + Returns + ------- + See :meth:`get_aperture_sigmas_at_s`. + """ + s_positions = self._get_cuts_at_element(element_name, resolution) + twiss_init = twiss.get_twiss_init(at_element=element_name) if twiss else None + return self.get_aperture_sigmas_at_s(s_positions, twiss_init, **kwargs) + + def get_aperture_sigmas_at_s( + self, + s_positions: Iterable[float], + twiss_init: Optional[TwissInit] = None, + method: Literal['bisection', 'rays', 'exact'] = 'rays', + envelopes_num_points: int = 36, + num_rays: int = 32, + output_max_envelopes: bool = False, + output_cross_sections: bool = False, + ) -> Tuple[Table, TwissTable]: + """Compute the maximum number of sigmas at which the beam fits in the aperture at element ``element_name``. + + Parameters + ---------- + s_positions + List of s positions at which to calculate the sigmas. + twiss_init + Optionally provided initial twiss conditions. + method + A method to use for the computation: + - 'rays' - the aperture sigma is estimated from sampled rays and the minimum over the sampled directions + is returned (faster method, O(R) where R is the number of rays) + - 'exact' - the aperture sigma is estimated from sampled points on the halo racetrack, at which new sample + rays are emitted to compare the local directional sigma to the aperture (O(R^2), where R is the number + of rays). + - 'bisection' - the smallest number of sigmas for the beam to fit in the aperture is computed by bisecting + on a polygon-inside-polygon problem (slower method, O(EAK), where E is the number of envelope points, + A is the number of aperture points, and K is the number of bisection steps; currently K <= 25, this + depends on the tolerance and search space set in ``beam_aperture.h``). + envelopes_num_points: + Number of points to use when discretising the beam cross-section. + num_rays: + Only for methods `rays` and `exact`: number of evenly-spaced ray directions to sample in [0, 2 * pi). + output_max_envelopes: + If true, output beam-envelope polygons at the computed `n1`. + output_cross_sections: + If true, output interpolated aperture cross-sections. + + Returns + ------- + A two-tuple ``(table, sliced_twiss)``, where: + - ``table`` is an :class:`xdeps.table.Table` with columns ``s`` and ``n1``. + - if ``output_cross_sections`` is true, ``table`` also contains ``cross_section``. + - if ``output_max_envelopes`` is true, ``table`` also contains ``envelope``. + - ``sliced_twiss`` is the twiss table computed as part of the calculation. + """ + sliced_twiss = self._sliced_twiss_at_s(s_positions=s_positions, twiss_init=twiss_init) + num_slices = len(sliced_twiss.s) + twiss_at_s = TwissData.from_twiss_table(self.line.particle_ref, sliced_twiss) + survey_at_s = self._survey_data.resample(twiss_at_s.s) + beam_data = BeamData(**self.halo_params) + + if output_cross_sections: + interpolated_points = np.zeros(shape=(num_slices, self.num_profile_points, 2), dtype=FloatType._dtype) + else: + interpolated_points = None + + if output_max_envelopes: + envelope_at_max_sigma = np.zeros(shape=(num_slices, envelopes_num_points, 2), dtype=FloatType._dtype) + else: + envelope_at_max_sigma = None + + if method == 'bisection': + sigmas = np.zeros(num_slices, dtype=FloatType._dtype) + + self._model.compute_max_aperture_sigma_bisection( + survey=self._survey_data, + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + twiss_at_s=twiss_at_s, + survey_at_s=survey_at_s, + beam_data=beam_data, + out_interpolated_apertures=interpolated_points, + envelope_num_points=envelopes_num_points, + out_envelope_at_max_sigma=envelope_at_max_sigma, + sigmas=sigmas, + ) + n1s = sigmas + elif method == 'rays': + ray_angles = np.linspace(0, 2 * np.pi, num_rays, endpoint=False, dtype=FloatType._dtype) + ray_sigmas = np.zeros((num_slices, num_rays), dtype=FloatType._dtype) + + self._model.compute_max_aperture_sigma_rays( + survey=self._survey_data, + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + twiss_at_s=twiss_at_s, + survey_at_s=survey_at_s, + beam_data=beam_data, + out_interpolated_apertures=interpolated_points, + envelope_num_points=envelopes_num_points, + out_envelope_at_max_sigma=envelope_at_max_sigma, + ray_angles=ray_angles, + num_ray_angles=num_rays, + sigmas=ray_sigmas, + + ) + n1s = np.min(ray_sigmas, axis=1) + elif method == 'exact': + ray_angles = np.linspace(0, 2 * np.pi, num_rays, endpoint=False, dtype=FloatType._dtype) + sigmas = np.zeros(num_slices, dtype=FloatType._dtype) + + self._model.compute_max_aperture_sigma_exact( + survey=self._survey_data, + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + twiss_at_s=twiss_at_s, + survey_at_s=survey_at_s, + beam_data=beam_data, + out_interpolated_apertures=interpolated_points, + envelope_num_points=envelopes_num_points, + out_envelope_at_max_sigma=envelope_at_max_sigma, + ray_angles=ray_angles, + num_ray_angles=num_rays, + sigmas=sigmas, + ) + n1s = sigmas + else: + raise NotImplementedError(f"Method `{method}` for getting aperture sigmas is unknown.") + + table_data = { + 'index': np.arange(len(sliced_twiss)), + 's': sliced_twiss.s, + 'n1': n1s, + } + if output_cross_sections: + table_data['cross_section'] = interpolated_points + if output_max_envelopes: + table_data['envelope'] = envelope_at_max_sigma + return Table(table_data, index='index'), sliced_twiss + + def get_hvd_aperture_sigmas_at_element( + self, + element_name: str, + resolution: Optional[float] = None, + twiss: Optional[TwissTable] = None, + ) -> Tuple[np.ndarray, TwissTable, np.ndarray]: + """Compute horizontal, vertical and horizontal max aperture sigmas at element ``element_name``. + + Parameters + ---------- + elment_name + The name of the element at which the sigmas should be computed. + resolution + The desired resolution, in meters along s, at which the sigmas should be computed. If not provided only the + values at the entry and exit will be output. + twiss + Optionally provided twiss table from which to derive the initial beam parameters at the element. + **kwargs + Other parameters to be forwarded to :meth:`get_hvd_aperture_sigmas_at_s`. + + Returns + ------- + See :meth:`get_hvd_aperture_sigmas_at_s`. + """ + s_positions = self._get_cuts_at_element(element_name, resolution) + twiss_init = twiss.get_twiss_init(at_element=element_name) if twiss else None + return self.get_hvd_aperture_sigmas_at_s(s_positions=s_positions, twiss_init=twiss_init) + + def get_hvd_aperture_sigmas_at_s( + self, + s_positions: Iterable[float], + twiss_init: Optional[TwissInit] = None, + ) -> Tuple[np.ndarray, TwissTable, np.ndarray]: + """Compute horizontal, vertical and horizontal max aperture sigmas. + + Parameters + ---------- + s_positions : Iterable[float] + Locations at which to compute the desired quantities. + twiss_init : TwissInit, optional + Initial conditions for the twiss. + + Returns + ------- + A three-tuple ``(sigmas, sliced_twiss, aperture_polygons)``: + - ```sigmas`` is an array of shape `(len(s_positions), 3)`, containing the maximum number of sigmas fitting in + the aperture in the horizontal, vertical and horizontal directions at each s-position. + - ``sliced_twiss`` is the twiss table computed as part of the calculation + - ``aperture_polygons`` are the aperture cross-sections at each of the ``s_positions``: a numpy array of shape + ``(len(s_positions), cross_sections_num_points, 2)``. + """ + sliced_twiss = self._sliced_twiss_at_s(s_positions=s_positions, twiss_init=twiss_init) + num_slices = len(sliced_twiss.s) + + twiss_at_s = TwissData.from_twiss_table(self.line.particle_ref, sliced_twiss) + survey_at_s = self._survey_data.resample(twiss_at_s.s) + + beam_data = BeamData(**self.halo_params) + interpolated_points = np.zeros(shape=(num_slices, self.num_profile_points, 2), dtype=FloatType._dtype) + + ray_angles = np.linspace(0, 2 * np.pi, 8, endpoint=False, dtype=FloatType._dtype) + ray_sigmas = np.zeros((num_slices, 8), dtype=FloatType._dtype) + + self._model.compute_max_aperture_sigma_rays( + survey=self._survey_data, + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + twiss_at_s=twiss_at_s, + survey_at_s=survey_at_s, + beam_data=beam_data, + out_interpolated_apertures=interpolated_points, + envelope_num_points=0, + out_envelope_at_max_sigma=None, + ray_angles=ray_angles, + num_ray_angles=8, + sigmas=ray_sigmas, + + ) + + sigmas_h = np.minimum(ray_sigmas[:, 0], ray_sigmas[:, 4]) + sigmas_v = np.minimum(ray_sigmas[:, 2], ray_sigmas[:, 6]) + sigmas_d = np.minimum.reduce([ray_sigmas[:, 1], ray_sigmas[:, 3], ray_sigmas[:, 5], ray_sigmas[:, 7]]) + ray_sigmas = np.c_[sigmas_h, sigmas_v, sigmas_d] + + return ray_sigmas, sliced_twiss, interpolated_points + + def get_envelope_at_element( + self, + element_name: str, + sigmas: float, + resolution: Optional[float] = None, + twiss: Optional[TwissTable] = None, + **kwargs, + ) -> Tuple[np.ndarray, TwissTable]: + """Compute beam-envelope polygons at the cuts of ``element_name`` for a fixed sigma value. + + Parameters + ---------- + element_name + The name of the element at which the envelope should be computed. + sigmas + The beam size, in sigmas, at which the envelope should be evaluated. + resolution + The desired resolution, in meters along s, at which the envelope should be computed. If not provided only + the values at the entry and exit will be output. + twiss + Optionally provided twiss table from which to derive the initial beam parameters at the element. + **kwargs + Other parameters to be forwarded to ``Aperture.get_envelope_at_s``. + + Returns + ------- + A two-tuple ``(envelopes, sliced_twiss)``, where: + - ``envelopes`` are the beam cross-section polygons at the requested sigma: a numpy array of shape + ``(num_cuts, envelopes_num_points, 2)``. + - ``sliced_twiss`` is the twiss table computed as part of the calculation. + """ + s_positions = self._get_cuts_at_element(element_name, resolution) + twiss_init = twiss.get_twiss_init(at_element=element_name) if twiss else None + return self.get_envelope_at_s(s_positions, sigmas, twiss_init, **kwargs) + + def get_envelope_at_s( + self, + s_positions: Iterable[float], + sigmas: float, + twiss_init: Optional[TwissInit] = None, + envelopes_num_points: int = 128, + include_aper_tols: bool = True, + ) -> Tuple[np.ndarray, TwissTable]: + """Compute beam-envelope polygons at the requested ``s_positions`` for a fixed sigma value. + + Parameters + ---------- + s_positions + List of s positions at which to compute the envelope. + sigmas + The beam size, in sigmas, at which the envelope should be evaluated. + twiss_init + Optionally provided initial twiss conditions. + envelopes_num_points + Number of points to use when discretising the beam cross-section polygon. + include_aper_tols + If true, include the aperture mechanical tolerances associated with the active profile at each ``s``. + + Returns + ------- + A two-tuple ``(envelopes, sliced_twiss)``, where: + - ``envelopes`` are the beam cross-section polygons at the requested sigma: a numpy array of shape + ``(len(s_positions), envelopes_num_points, 2)``. + - ``sliced_twiss`` is the twiss table computed as part of the calculation. + """ + sliced_twiss = self._sliced_twiss_at_s(s_positions=s_positions, twiss_init=twiss_init) + num_slices = len(sliced_twiss.s) + twiss_at_s = TwissData.from_twiss_table(self.line.particle_ref, sliced_twiss) + beam_data = BeamData(**self.halo_params) + + envelopes = np.zeros(shape=(num_slices, envelopes_num_points, 2), dtype=FloatType._dtype) + + self._model.compute_beam_envelopes_at_sigma( + aperture_bounds=self._aperture_bounds, + twiss_at_s=twiss_at_s, + beam_data=beam_data, + sigmas=sigmas, + envelope_num_points=envelopes_num_points, + include_aper_tols=int(include_aper_tols), + out_envelope=envelopes, + ) + + return envelopes, sliced_twiss + + def poses_at_s(self, s_positions: Collection[float]) -> HomogenousMatrices: + """Return a local coordinate system (each represented by a homogeneous matrix) at all ``s_positions``.""" + sv_resampled = self._survey_data.resample(s_positions) + return sv_resampled.pose.to_nparray() + + def cross_sections_at_element( + self, + element_name: str, + resolution: Optional[float], + extents: bool = False, + ) -> Table: + s_positions = self._get_cuts_at_element(element_name, resolution) + return self.cross_sections_at_s(s_positions, extents=extents) + + def cross_sections_at_s( + self, + s_positions: Collection[float], + extents: bool = False, + ) -> Table: + s_positions = np.array(s_positions, dtype=FloatType._dtype) + sv_resampled = self._survey_data.resample(s_positions) + + cross_sections = np.zeros(shape=(len(s_positions), self.num_profile_points, 2), dtype=FloatType._dtype) + tol_r = np.zeros(shape=len(s_positions), dtype=FloatType._dtype) + tol_x = np.zeros(shape=len(s_positions), dtype=FloatType._dtype) + tol_y = np.zeros(shape=len(s_positions), dtype=FloatType._dtype) + + self._model.cross_sections_at_s( + survey_at_s=sv_resampled, + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + survey=self._survey_data, + cross_sections=cross_sections, + tol_r=tol_r, + tol_x=tol_x, + tol_y=tol_y, + ) + poses = sv_resampled.pose.to_nparray() + + table_data = { + 'index': np.arange(len(s_positions)), + 's': s_positions, + 'pose': poses, + 'cross_section': cross_sections, + 'tol_r': tol_r, + 'tol_x': tol_x, + 'tol_y': tol_y, + } + if extents: + table_data.update(self._axis_extents_for_cross_sections(cross_sections)) + return Table(table_data, index='index') + + def plot_extents( + self, + s_positions: Collection[float], + sigmas: Optional[float] = None, + twiss_init: Optional[TwissInit] = None, + method: Literal['bisection', 'rays', 'exact'] = 'rays', + envelopes_num_points: int = 64, + include_aper_tols: bool = False, + plot_s_positions: Optional[Collection[float]] = None, + axs=None, + ): + s_positions = np.asarray(s_positions, dtype=FloatType._dtype) + plot_s_positions = np.asarray( + s_positions if plot_s_positions is None else plot_s_positions, + dtype=FloatType._dtype, + ) + + order = np.argsort(s_positions) + undo_order = np.empty_like(order) + undo_order[order] = np.arange(len(order)) + s_sorted = s_positions[order] + + if sigmas is None: + n1_table, _ = self.get_aperture_sigmas_at_s( + s_positions=s_sorted, + twiss_init=twiss_init, + method=method, + ) + sigmas = float(np.min(n1_table.n1)) + + envelopes, _ = self.get_envelope_at_s( + s_positions=s_sorted, + sigmas=sigmas, + twiss_init=twiss_init, + envelopes_num_points=envelopes_num_points, + include_aper_tols=include_aper_tols, + ) + sections_table = self.cross_sections_at_s(s_sorted, extents=True) + + min_envel_x = np.min(envelopes[:, :, 0], axis=1)[undo_order] + max_envel_x = np.max(envelopes[:, :, 0], axis=1)[undo_order] + min_envel_y = np.min(envelopes[:, :, 1], axis=1)[undo_order] + max_envel_y = np.max(envelopes[:, :, 1], axis=1)[undo_order] + + min_aper_x = np.asarray(sections_table.min_x, dtype=FloatType._dtype)[undo_order] + max_aper_x = np.asarray(sections_table.max_x, dtype=FloatType._dtype)[undo_order] + min_aper_y = np.asarray(sections_table.min_y, dtype=FloatType._dtype)[undo_order] + max_aper_y = np.asarray(sections_table.max_y, dtype=FloatType._dtype)[undo_order] + + tols_r = np.asarray(sections_table.tol_r, dtype=FloatType._dtype)[undo_order] + tols_x = np.asarray(sections_table.tol_x, dtype=FloatType._dtype)[undo_order] + tols_y = np.asarray(sections_table.tol_y, dtype=FloatType._dtype)[undo_order] + + if axs is None: + from matplotlib import pyplot as plt + fig, axs = plt.subplots(2, 1, sharex=True) + else: + fig = axs[0].figure + + ax_x, ax_y = axs + + ax_x.fill_between(plot_s_positions, min_envel_x, max_envel_x, color='royalblue', alpha=0.3) + ax_x.plot(plot_s_positions, min_aper_x, color='k') + ax_x.plot(plot_s_positions, max_aper_x, color='k') + ax_x.plot(plot_s_positions, min_aper_x + tols_x + tols_r, linestyle='--', color='k') + ax_x.plot(plot_s_positions, max_aper_x - tols_x - tols_r, linestyle='--', color='k') + ax_x.set_ylabel(r'x [m]') + + ax_y.fill_between(plot_s_positions, min_envel_y, max_envel_y, color='indianred', alpha=0.3) + ax_y.plot(plot_s_positions, min_aper_y, color='k') + ax_y.plot(plot_s_positions, max_aper_y, color='k') + ax_y.plot(plot_s_positions, min_aper_y + tols_y + tols_r, linestyle='--', color='k') + ax_y.plot(plot_s_positions, max_aper_y - tols_y - tols_r, linestyle='--', color='k') + ax_y.set_ylabel(r'y [m]') + ax_y.set_xlabel('s [m]') + + return fig, axs + + def plot_at_element(self, name, resolution=0.1, sigmas=None, method=None, middle='beam', ax=None): + """Display a transverse plot of the beam at an element ``name``. + + Parameters + ---------- + name : str + Name of the element at which to plot. + resolution : float + The desired resolution, in metres along s, of the plot. + sigmas : Optional[float] + The number of sigmas to plot. If None, compute n1 using ``method``. + method : str + If ``sigmas`` is None, plot the maximum sigma for element, calculated using ``method``. + middle : str + Whether the plot should be centred around the ``aperture`` middle, or ``beam`` reference. + ax : matplotlib.axes.Axes + Axes object to plot on, if not given, spawn a new one. + """ + from matplotlib import pyplot as plt + ax = ax or plt.gca() + + if sigmas is None: + n1_tab, _ = self.get_aperture_sigmas_at_element(name, method=method, resolution=resolution) + sigmas = min(n1_tab.n1) + + s_positions = self._get_cuts_at_element(name, resolution) + beam_tols, _ = self.get_envelope_at_s(s_positions=s_positions, sigmas=sigmas, include_aper_tols=True) + beam_no_tols, _ = self.get_envelope_at_s(s_positions=s_positions, sigmas=sigmas, include_aper_tols=False) + profiles = self.cross_sections_at_s(s_positions=s_positions) + + polygons = profiles.cross_section + + if middle == 'aperture': + middle = (np.min(polygons, axis=1) + np.max(polygons, axis=1)) / 2 + elif middle == 'beam': + middle = np.zeros(shape=(len(s_positions), 2)) + else: + raise ValueError("Middle must be either 'aperture' or 'beam'") + + seen = False + for pt, mid in zip(polygons, middle): + label = 'aperture' if not seen else '' + ax.plot(pt[:, 0] - mid[0], pt[:, 1] - mid[1], c='gray', linestyle='--', label=label) + seen = True + + seen = False + for pt, mid in zip(beam_tols, middle): + label = 'envelope (with tolerances)' if not seen else '' + ax.plot(pt[:, 0] - mid[0], pt[:, 1] - mid[1], c='royalblue', linestyle='-', label=label) + seen = True + + seen = False + for pt, mid in zip(beam_no_tols, middle): + label = 'envelope (no tolerances)' if not seen else '' + ax.plot(pt[:, 0] - mid[0], pt[:, 1] - mid[1], c='skyblue', linestyle=':', label=label) + seen = True + + ax.set_aspect('equal') + ax.set_title(fr"Envelope at {name}, s $\in$ [{s_positions[0]:.2f}, {s_positions[-1]:.2f}], $n$ = {sigmas:.3f}") + ax.legend() + + + def plot_n1_at_element(self, name, resolution=0.1, method='rays', middle='beam', ax=None, **kwargs): + """Display a transverse plot of the beam at n1 at element ``name``. + + Parameters + ---------- + name : str + Name of the element at which to plot. + resolution : float + The desired resolution, in metres along s, of the plot. + method : str + The method to use to calculate ``n1`` and the envelope. + middle : str + Whether the plot should be centred around the ``aperture`` middle, or ``beam`` reference. + ax : matplotlib.axes.Axes + Axes object to plot on, if not given, spawn a new one. + **kwargs + More arguments to pass to matplotlib. + """ + from matplotlib import pyplot as plt + ax = ax or plt.gca() + + n1_table, _ = self.get_aperture_sigmas_at_element( + element_name=name, + resolution=resolution, + method=method, + envelopes_num_points=128, + output_max_envelopes=True, + output_cross_sections=True, + ) + + n1 = np.min(n1_table.n1) + polygons = n1_table.cross_section + beam = n1_table.envelope + + if middle == 'aperture': + middle = (np.min(polygons, axis=1) + np.max(polygons, axis=1)) / 2 + elif middle == 'beam': + middle = np.zeros(shape=(len(n1_table), 2)) + else: + raise ValueError("Middle must be either 'aperture' or 'beam'") + + for pt, mid in zip(polygons, middle): + ax.plot(pt[:, 0] - mid[0], pt[:, 1] - mid[1], c='gray', linestyle='--') + + seen = False + colour = {'rays': 'r', 'bisection': 'b', 'exact': 'g'}[method] + for pt, mid in zip(beam, middle): + label = f'envelope ({method}, min($n_1$) = {n1:.3f})' if not seen else '' + ax.plot(pt[:, 0] - mid[0], pt[:, 1] - mid[1], c=colour, label=label, **kwargs) + seen = True + + ax.set_aspect('equal') + ax.set_title(fr"Max envelopes at {name}, s $\in$ [{n1_table.s[0]:.2f}, {n1_table.s[-1]:.2f}], min($n_1$) = {n1:.3f}") + ax.legend() + + def _get_cuts_at_element(self, element_name: str, resolution: Optional[float]) -> List[float]: + """Get list of s positions so that the element ``element_name`` is cut with a ``resolution``.""" + element = self.line[element_name] + s_start = self.line.get_s_position(element_name) + element_length = getattr(element, 'length', 0) + s_end = s_start + element_length + + if resolution is not None: + num_cuts = int(element_length / resolution) + s_positions = np.linspace(s_start, s_end, num_cuts) + else: + s_positions = [s_start, s_end] + + return s_positions + + def _build_aperture_bounds(self, check_validity=True): + # Pre-allocate the cross-sections with the correct sizes + num_points = self.num_profile_points + num_cross_sections = sum(len(self._model.pipe_for_position(pipe_pos).positions) for pipe_pos in self._model.pipe_positions) + self._aperture_bounds = ApertureBounds( + count=num_cross_sections, + pipe_position_indices=num_cross_sections, + profile_position_indices=num_cross_sections, + s_positions=num_cross_sections, + s_start=num_cross_sections, + s_end=num_cross_sections, + _context=self.context, + ) + + # Pre-allocate the profile polygons (generate once, so that we only need to compute transformations on them) + num_profile_polys = len(self._model.profiles) + self._profile_polygons = ProfilePolygons( + count=num_profile_polys, + len_points=num_points, + points=(num_profile_polys, num_points), + _context=self.context, + ) + + cross_section_idx_iter = iter(progress(range(num_cross_sections), desc='Building cross-sections', total=num_cross_sections)) + + for pipe_pos_idx, pipe_pos in enumerate(cast(Iterable[PipePosition], self._model.pipe_positions)): + pipe = self._model.pipe_for_position(pipe_pos) + for profile_pos_idx, profile_pos in enumerate(cast(Iterable[ProfilePosition], pipe.positions)): + idx = next(cross_section_idx_iter) + self._aperture_bounds.pipe_position_indices[idx] = pipe_pos_idx + self._aperture_bounds.profile_position_indices[idx] = profile_pos_idx + + self._model.build_profile_polygons( + profile_polygons=self._profile_polygons, + aperture_bounds=self._aperture_bounds, + survey=self._survey_data, + ) + + if check_validity: + self._check_aperture_bounds_validity() + + def _check_model_validity(self): + for ii, pipe_pos in enumerate(self._model.pipe_positions): + survey_ref_name = pipe_pos.survey_reference_name + survey_ref_idx = pipe_pos.survey_index + pipe_position_name = self._model.pipe_position_name_for_position_index(ii) + + try: + survey_at_idx = self.survey.name[survey_ref_idx] + except IndexError: + survey_at_idx = None + + if survey_at_idx != survey_ref_name: + raise ValueError( + f'Aperture model corrupted for pipe position {pipe_position_name}: the associate survey reference name ' + f'`{survey_ref_name}` and index `{survey_ref_idx}` do not match. The element of the survey at the ' + f'index is {survey_at_idx}.' + ) + + def _check_aperture_bounds_validity(self, s_tol = 1e-6): + # Check validity + last_right = -np.inf + + if self._aperture_bounds.count < 1: + raise ValueError('No aperture bounds computed. Is the model empty?') + + for idx in range(self._aperture_bounds.count): + left = self._aperture_bounds.s_start[idx] + centre = self._aperture_bounds.s_positions[idx] + right = self._aperture_bounds.s_end[idx] + + pipe_pos_idx = self._aperture_bounds.pipe_position_indices[idx] + profile_pos_idx = self._aperture_bounds.profile_position_indices[idx] + pipe_name, profile_name = self._model.pipe_profile_names_for_indices(pipe_pos_idx, profile_pos_idx) + + if not (centre - left > -s_tol and right - centre > -s_tol): + raise ValueError( + f'Aperture model corrupted for pipe {pipe_name} and profile {profile_name}: the ' + f'computed s location {centre} is not inside the computed bounds [{left}, {right}]' + ) + + if last_right > left: + raise ValueError( + f'Aperture model corrupted for pipe {pipe_name} and profile {profile_name}): the ' + f'aperture bounds [{left}, {right}] overlap the preceding profile whose s_end = {last_right}' + ) + + def get_bounds_table(self): + pipe_position_names = [] + pipe_names = [] + profile_names = [] + s_positions = [] + s_starts = [] + s_ends = [] + shapes = [] + shape_params = [] + + ap_bounds = self._aperture_bounds + for i in range(ap_bounds.count): + pipe_pos_idx = ap_bounds.pipe_position_indices[i] + pipe_pos = self._model.pipe_positions[pipe_pos_idx] + pipe = self._model.pipe_for_position(pipe_pos) + pipe_position_name = self._model.pipe_position_name_for_position_index(pipe_pos_idx) + pipe_name = self._model.pipe_name_for_position(pipe_pos) + + profile_pos_idx = ap_bounds.profile_position_indices[i] + profile_pos = pipe.positions[profile_pos_idx] + profile_name = self._model.profile_name_for_position(profile_pos) + profile = self._model.profile_for_position(profile_pos) + + shape = profile.shape + + pipe_position_names.append(pipe_position_name) + pipe_names.append(pipe_name) + profile_names.append(profile_name) + s_positions.append(ap_bounds.s_positions[i]) + s_starts.append(ap_bounds.s_start[i]) + s_ends.append(ap_bounds.s_end[i]) + shapes.append(type(shape).__name__) + shape_params.append(shape._to_dict()) + + table = Table( + data={ + 'name': np.array([f'{pn}_in_{ppn}' for pn, ppn in zip(profile_names, pipe_position_names)], dtype=np.str_), + 'pipe_position_name': np.array(pipe_position_names, dtype=np.str_), + 'pipe_name': np.array(pipe_names, dtype=np.str_), + 'type_position_name': np.array(pipe_position_names, dtype=np.str_), + 'type_name': np.array(pipe_names, dtype=np.str_), + 'profile_name': np.array(profile_names, dtype=np.str_), + 's': np.array(s_positions, dtype=FloatType._dtype), + 's_start': np.array(s_starts, dtype=FloatType._dtype), + 's_end': np.array(s_ends, dtype=FloatType._dtype), + 'shape': np.array(shapes, dtype=object), + 'shape_param': np.array(shape_params, dtype=object), + }, + index='name', + ) + return table + + def _sliced_twiss_at_s( + self, + s_positions: Iterable[float], + twiss_init: Optional[TwissInit] = None, + ) -> TwissTable: + """Get a twiss table for the line with entries at each requested `s`. + + Parameters + ---------- + s_positions : Iterable[float] + s-positions for the sliced twiss. + twiss_init : TwissInit, optional + Initial conditions for the twiss. + """ + s_positions = np.array(s_positions, dtype=FloatType._dtype) + line_sliced = self.line.copy() + line_sliced.cut_at_s(s_positions) + full_twiss = line_sliced.twiss(init=twiss_init) + + # "Authoritative" s-positions after slicing (up to cutting tolerances) + tw_s = np.array(full_twiss.s, dtype=FloatType._dtype) + + # Bracket each requested s with the nearest row on the left and on the right. + idx_left = np.searchsorted(tw_s, s_positions, side='right') - 1 + idx_right = np.searchsorted(tw_s, s_positions, side='left') + + idx_left = np.clip(idx_left, 0, len(tw_s) - 1) + idx_right = np.clip(idx_right, 0, len(tw_s) - 1) + + # Compare the left/right candidates by distance in s. + dist_left = np.abs(tw_s[idx_left] - s_positions) + dist_right = np.abs(tw_s[idx_right] - s_positions) + + # Keep the nearest row; on ties prefer the rightmost candidate. + tw_indices = np.where(dist_right <= dist_left, idx_right, idx_left) + + return full_twiss.rows[tw_indices] + + @staticmethod + def _axis_extents_for_cross_sections(cross_sections: np.ndarray) -> dict[str, np.ndarray]: + x0 = cross_sections[:, :-1, 0] + y0 = cross_sections[:, :-1, 1] + x1 = cross_sections[:, 1:, 0] + y1 = cross_sections[:, 1:, 1] + + with np.errstate(divide='ignore', invalid='ignore'): + dy = y1 - y0 + t_x_axis = -y0 / dy + crosses_x_axis = ((y0 < 0) & (y1 > 0)) | ((y0 > 0) & (y1 < 0)) + x_axis_interp = np.where(crosses_x_axis, x0 + t_x_axis * (x1 - x0), np.nan) + x_axis_vertices = np.where(y0 == 0, x0, np.nan) + x_axis_vertices_next = np.where(y1 == 0, x1, np.nan) + on_x_axis = (y0 == 0) & (y1 == 0) + x_axis_seg0 = np.where(on_x_axis, x0, np.nan) + x_axis_seg1 = np.where(on_x_axis, x1, np.nan) + x_candidates = np.concatenate( + [x_axis_interp, x_axis_vertices, x_axis_vertices_next, x_axis_seg0, x_axis_seg1], + axis=1, + ) + + dx = x1 - x0 + t_y_axis = -x0 / dx + crosses_y_axis = ((x0 < 0) & (x1 > 0)) | ((x0 > 0) & (x1 < 0)) + y_axis_interp = np.where(crosses_y_axis, y0 + t_y_axis * (y1 - y0), np.nan) + y_axis_vertices = np.where(x0 == 0, y0, np.nan) + y_axis_vertices_next = np.where(x1 == 0, y1, np.nan) + on_y_axis = (x0 == 0) & (x1 == 0) + y_axis_seg0 = np.where(on_y_axis, y0, np.nan) + y_axis_seg1 = np.where(on_y_axis, y1, np.nan) + y_candidates = np.concatenate( + [y_axis_interp, y_axis_vertices, y_axis_vertices_next, y_axis_seg0, y_axis_seg1], + axis=1, + ) + + has_x = np.any(np.isfinite(x_candidates), axis=1) + has_y = np.any(np.isfinite(y_candidates), axis=1) + + return { + 'min_x': np.where(has_x, np.nanmin(x_candidates, axis=1), np.nan), + 'max_x': np.where(has_x, np.nanmax(x_candidates, axis=1), np.nan), + 'min_y': np.where(has_y, np.nanmin(y_candidates, axis=1), np.nan), + 'max_y': np.where(has_y, np.nanmax(y_candidates, axis=1), np.nan), + } + + @classmethod + def _guess_original_mad_name(cls, element_name) -> Any: + """Given a name of an element in a line, de-mangle the original MAD-X name. + + When importing a line from MAD-X, names can be mangled in two ways: + 1. ``:N`` may be added for the (N+1)-th repetition of the same element. + 2. ``/line_name`` may be appended if the same element appears in multiple sequences. + This function only works if the elements were not named according to these patterns by the user, + and as such is a bit of a hack. In corner cases it is best not to go through cpymad, + but instead use the native loader with ``Aperture.from_line_with_associated_apertures``. + + Parameters + ---------- + element_name : str + Name of a beam element. + """ + pattern = r"(?P.*?)(?:[:]\d+)?(?:/[^/]+)?" + match = re.fullmatch(pattern, element_name) + return match.group('prefix') + + @classmethod + def _get_per_type_madx_offsets(cls, madx_offsets): + """Parse MAD-X imported aperture offsets metadata to obtain per-element (type) transformations.""" + offsets = {} + for section in madx_offsets.values(): + reference_name = section['reference'] + for idx, name in enumerate(section['name']): + dx = section['dx_off'][idx] + dy = section['dy_off'][idx] + + theta = np.atan2(dx, 1) + phi = np.atan2(dy, np.sqrt(1 + dx ** 2)) + + offsets[name] = { + 'survey_ref': reference_name, + 's': section['s_ip'][idx], + 'x': section['x_off'][idx], + 'y': section['y_off'][idx], + 'rot_y': theta, + 'rot_x': phi, + 'dx': dx, + 'dy': dy, + 'ddx': section['ddx_off'][idx], + 'ddy': section['ddy_off'][idx], + } + return offsets + + @classmethod + def _is_broken_madx_aperture(cls, shape): + if isinstance(shape, Circle): + return shape.radius < 1e-6 or shape.radius > 9.98 + + if isinstance(shape, Rectangle): + return (shape.half_width < 1e-6 or shape.half_width > 9.98) and (shape.half_height < 1e-6 or shape.half_height > 9.98) + + if isinstance(shape, RectEllipse): + return ( + (shape.half_width < 1e-6 or shape.half_width > 9.98) and + (shape.half_height < 1e-6 or shape.half_height > 9.98) and + (shape.half_major < 1e-6 or shape.half_major > 9.98) and + (shape.half_minor < 1e-6 or shape.half_minor > 9.98) + ) + + return False diff --git a/xtrack/aperture/builder.py b/xtrack/aperture/builder.py new file mode 100644 index 000000000..49d89c62d --- /dev/null +++ b/xtrack/aperture/builder.py @@ -0,0 +1,412 @@ +from __future__ import annotations + +from dataclasses import dataclass, field +from typing import Optional, get_args + +import numpy as np + +import xobjects as xo +from xobjects.context import XContext + +from xtrack.aperture.structures import ( + ApertureModel, + Pipe, + Profile, + ProfilePosition, + ShapeTypes, + PipePosition, +) +from xtrack.aperture.transform import transform_matrix + + +SHAPE_CLASSES = get_args(ShapeTypes) +SHAPE_CLASSES_BY_NAME = {shape_cls.__name__: shape_cls for shape_cls in SHAPE_CLASSES} + + +def _shape_from_input(shape: str | type, **shape_params): + """Build a profile shape object from a string name or shape class. + + Parameters + ---------- + shape : str or type + Name of the shape to build, or the corresponding shape class. + **shape_params + Parameters forwarded to the corresponding shape constructor. + + Returns + ------- + xo.Struct + Instantiated shape object. + + Raises + ------ + ValueError + If the shape input is not supported. + """ + if isinstance(shape, str): + shape_cls = SHAPE_CLASSES_BY_NAME.get(shape) + elif shape in SHAPE_CLASSES: + shape_cls = shape + else: + shape_cls = None + + if shape_cls is None: + raise ValueError(f"Unsupported aperture profile shape `{shape}`.") + + return shape_cls(**shape_params) + + +@dataclass +class ProfilePositionBlueprint: + profile_name: str + shift_s: float = 0.0 + shift_x: float = 0.0 + shift_y: float = 0.0 + rot_y_rad: float = 0.0 + rot_x_rad: float = 0.0 + rot_s_rad: float = 0.0 + + +@dataclass +class PipeBlueprint: + builder: ApertureBuilder + name: str + curvature: float = 0.0 + positions: list[ProfilePositionBlueprint] = field(default_factory=list) + + def place_profile( + self, + name: str, + shift_s: float = 0.0, + shift_x: float = 0.0, + shift_y: float = 0.0, + rot_y_rad: float = 0.0, + rot_x_rad: float = 0.0, + rot_s_rad: float = 0.0, + ) -> ProfilePositionBlueprint: + """Create and append a profile position blueprint to this pipe. + + Parameters + ---------- + name : str + Name of the profile to place. + shift_s : float, optional + Longitudinal position of the profile in the pipe frame. + shift_x, shift_y : float, optional + Transverse offsets of the profile in the pipe frame. + rot_y_rad, rot_x_rad, rot_s_rad : float, optional + Rotations of the profile in the pipe frame. + + Returns + ------- + ProfilePositionBlueprint + The created profile position blueprint. + """ + profile_position = self.builder.place_profile( + name=name, + shift_s=shift_s, + shift_x=shift_x, + shift_y=shift_y, + rot_y_rad=rot_y_rad, + rot_x_rad=rot_x_rad, + rot_s_rad=rot_s_rad, + ) + self.positions.append(profile_position) + return profile_position + + +@dataclass +class PipePositionBlueprint: + name: str + pipe_name: str + survey_reference: str + transformation: np.ndarray + + +TypeBlueprint = PipeBlueprint +TypePositionBlueprint = PipePositionBlueprint + + +class ApertureBuilder: + def __init__(self, line): + """Create an aperture model builder for a given line. + + Parameters + ---------- + line : xtrack.Line + Line whose survey is used when resolving installed pipe positions. + """ + self.line = line + self._profiles: dict[str, Profile] = {} + self._pipes: dict[str, PipeBlueprint] = {} + self._pipe_positions: list[PipePositionBlueprint] = [] + + def new_profile( + self, + name: str, + shape: str | type, + tol_r: float = 0.0, + tol_x: float = 0.0, + tol_y: float = 0.0, + **shape_params, + ) -> str: + """Create and register a new profile blueprint. + + Parameters + ---------- + name : str + Name of the new profile. + shape : str or type + Shape name or shape class used to construct the profile geometry. + tol_r, tol_x, tol_y : float, optional + Profile tolerances. + **shape_params + Parameters forwarded to the shape constructor. + + Returns + ------- + str + The profile name. + + Raises + ------ + ValueError + If a profile with the same name already exists. + """ + if name in self._profiles: + raise ValueError(f"Profile `{name}` already exists.") + + self._profiles[name] = Profile( + shape=_shape_from_input(shape, **shape_params), + tol_r=tol_r, + tol_x=tol_x, + tol_y=tol_y, + ) + return name + + def place_profile( + self, + name: str, + shift_s: float = 0.0, + shift_x: float = 0.0, + shift_y: float = 0.0, + rot_y_rad: float = 0.0, + rot_x_rad: float = 0.0, + rot_s_rad: float = 0.0, + ) -> ProfilePositionBlueprint: + """Create a profile position blueprint. + + Parameters + ---------- + name : str + Name of the profile to place. + shift_s : float, optional + Longitudinal position of the profile in the pipe frame. + shift_x, shift_y : float, optional + Transverse offsets of the profile in the pipe frame. + rot_y_rad, rot_x_rad, rot_s_rad : float, optional + Rotations of the profile in the pipe frame. + + Returns + ------- + ProfilePositionBlueprint + The created profile position blueprint. + """ + return ProfilePositionBlueprint( + profile_name=name, + shift_s=shift_s, + shift_x=shift_x, + shift_y=shift_y, + rot_y_rad=rot_y_rad, + rot_x_rad=rot_x_rad, + rot_s_rad=rot_s_rad, + ) + + def new_pipe( + self, + name: str, + curvature: float = 0.0, + positions: Optional[list[ProfilePositionBlueprint]] = None, + ) -> PipeBlueprint: + """Create and register a new aperture pipe blueprint. + + Parameters + ---------- + name : str + Name of the new pipe. + curvature : float, optional + Curvature assigned to the pipe. + positions : list of ProfilePositionBlueprint, optional + Initial profile positions to install in the pipe. + + Returns + ------- + PipeBlueprint + The created pipe blueprint. + + Raises + ------ + ValueError + If a pipe with the same name already exists. + """ + if name in self._pipes: + raise ValueError(f"Pipe `{name}` already exists.") + + pipe = PipeBlueprint( + builder=self, + name=name, + curvature=curvature, + positions=list(positions) if positions is not None else [], + ) + self._pipes[name] = pipe + return pipe + + def new_type(self, *args, **kwargs): + return self.new_pipe(*args, **kwargs) + + def place_pipe( + self, + name: str, + pipe_name: str, + survey_reference: str, + transformation: Optional[np.ndarray] = None, + shift_x: Optional[float] = None, + shift_y: Optional[float] = None, + shift_z: Optional[float] = None, + rot_y_rad: Optional[float] = None, + rot_x_rad: Optional[float] = None, + rot_z_rad: Optional[float] = None, + ) -> PipePositionBlueprint: + """Create and register a pipe-position blueprint. + + Parameters + ---------- + name : str + Name of the installed pipe position. + pipe_name : str + Name of the pipe to install. + survey_reference : str + Name of the survey entry used as the installation reference. + transformation : np.ndarray, optional + Full 4x4 homogeneous transform from the survey reference to the + pipe frame. + shift_x, shift_y, shift_z : float, optional + Translation components used when ``transformation`` is not given. + rot_y_rad, rot_x_rad, rot_z_rad : float, optional + Rotation components used when ``transformation`` is not given. + + Returns + ------- + PipePositionBlueprint + The created pipe-position blueprint. + + Raises + ------ + ValueError + If the pipe-position name already exists, or if both a full matrix + and transform components are supplied. + """ + if any(pipe_position.name == name for pipe_position in self._pipe_positions): + raise ValueError(f"Pipe position `{name}` already exists.") + + transform_fields = { + "shift_x": shift_x, + "shift_y": shift_y, + "shift_z": shift_z, + "rot_y_rad": rot_y_rad, + "rot_x_rad": rot_x_rad, + "rot_z_rad": rot_z_rad, + } + if transformation is not None and any(value is not None for value in transform_fields.values()): + raise ValueError("Provide either `transformation` or transform components, not both.") + + if transformation is None: + transformation = transform_matrix( + **{key: (0.0 if value is None else value) for key, value in transform_fields.items()} + ) + else: + transformation = np.array(transformation, dtype=float, copy=True) + + pipe_position = PipePositionBlueprint( + name=name, + pipe_name=pipe_name, + survey_reference=survey_reference, + transformation=transformation, + ) + self._pipe_positions.append(pipe_position) + return pipe_position + + def place_type(self, *args, **kwargs): + return self.place_pipe(*args, **kwargs) + + def build(self, context: Optional[XContext] = None) -> ApertureModel: + """Build an :class:`ApertureModel` in the requested context. + + Parameters + ---------- + context : XContext, optional + Context in which to allocate the generated xobjects. If omitted, + ``xo.context_default`` is used. + + Returns + ------- + ApertureModel + Fully materialised aperture model with names resolved to indices. + """ + context = context or xo.context_default + + survey = self.line.survey() + survey_name_to_index = dict(zip(survey.name, range(len(survey.name)))) + + profile_names = list(self._profiles.keys()) + profile_name_to_index = {name: ii for ii, name in enumerate(profile_names)} + profiles = [Profile(**self._profiles[name]._to_dict(), _context=context) for name in profile_names] + + pipe_names = list(self._pipes.keys()) + pipe_name_to_index = {name: ii for ii, name in enumerate(pipe_names)} + pipes = [] + for pipe_name in pipe_names: + pipe_blueprint = self._pipes[pipe_name] + sorted_positions = sorted(pipe_blueprint.positions, key=lambda position: position.shift_s) + positions = [ + ProfilePosition( + profile_index=profile_name_to_index[position.profile_name], + shift_s=position.shift_s, + shift_x=position.shift_x, + shift_y=position.shift_y, + rot_y_rad=position.rot_y_rad, + rot_x_rad=position.rot_x_rad, + rot_s_rad=position.rot_s_rad, + _context=context, + ) + for position in sorted_positions + ] + pipes.append( + Pipe( + curvature=pipe_blueprint.curvature, + positions=positions, + _context=context, + ) + ) + + pipe_position_names = [pipe_position.name for pipe_position in self._pipe_positions] + pipe_positions = [ + PipePosition( + pipe_index=pipe_name_to_index[pipe_position.pipe_name], + survey_reference_name=pipe_position.survey_reference, + survey_index=survey_name_to_index[pipe_position.survey_reference], + transformation=pipe_position.transformation, + _context=context, + ) + for pipe_position in self._pipe_positions + ] + + return ApertureModel( + pipe_positions=pipe_positions, + pipes=pipes, + profiles=profiles, + pipe_names=pipe_names, + pipe_position_names=pipe_position_names, + profile_names=profile_names, + _context=context, + ) diff --git a/xtrack/aperture/headers/base.h b/xtrack/aperture/headers/base.h new file mode 100644 index 000000000..ee4094c99 --- /dev/null +++ b/xtrack/aperture/headers/base.h @@ -0,0 +1,353 @@ +#ifndef APERTURE_BASE_H +#define APERTURE_BASE_H + +#include +#include + +typedef double float_type; + +#ifndef M_PI +#define M_PI 3.14159265358979323846 +#endif + +#define APER_PRECISION 1e-6f + +#ifndef IF_OMP_PRAGMA +#ifdef XO_CONTEXT_CPU_OPENMP +#define IF_OMP_PRAGMA(x) _Pragma(x) +#else +#define IF_OMP_PRAGMA(x) +#endif +#endif + + +typedef struct { + float_type x; + float_type y; +} Point2D; + + +typedef struct { + float_type x; + float_type y; + float_type z; +} Point3D; + + +typedef struct { + float_type x; // shift in x + float_type y; // shift in y + float_type s; // shift in s + float_type rot_x; // rotation around the x-axis, positive s to y (MAD-X phi) + float_type rot_y; // rotation around the y-axis, positive s to x (MAD-X theta) + float_type rot_s; // rotation around the s-axis, positive y to x (MAD-X psi) +} Transform; + + +typedef struct { + float_type mat[4][4]; +} Pose; + + +inline Pose arc_matrix(const float_type length, const float_type angle, const float_type tilt); + +inline float_type point2d_dot(Point2D, Point2D); +inline float_type point2d_cross(Point2D, Point2D); +inline Point2D point2d_scale(Point2D, float_type); +inline Point2D point2d_add(Point2D, Point2D); +inline Point2D point2d_sub(Point2D, Point2D); +inline float_type clamp_value(float_type t, float_type lo, float_type hi); +inline float_type point2d_distance(float_type x1, float_type y1, float_type x2, float_type y2); +inline void point2d_translate(float_type dx, float_type dy, Point2D* points, const int len_points); + +static inline float_type elliptic_E_adaptive(float_type a, float_type b, float_type eps, int depth, float_type m); +static inline float_type elliptic_E_numeric(float_type phi, float_type k); +float_type elliptic_E(float_type phi, float_type k); +float_type elliptic_E_complete(float_type k); + +inline float_type sinc(float_type); +inline Pose identity(); +inline Pose matrix_multiply(const Pose a, const Pose b); +inline Pose transform_to_matrix(const Transform); +inline Transform matrix_to_transform(const Pose); +inline Point3D point3d_sub(const Point3D, const Point3D); +inline float_type point3d_dot(const Point3D, const Point3D); +inline Point3D point3d_add_scaled(const Point3D a, const Point3D v, const float_type t); +inline Point3D pose_apply_point(const Pose, const Point3D); + + +inline Pose arc_matrix(const float_type length, const float_type angle, const float_type tilt) +/* + Get a transformation to the point at `length` along an arc of `angle`. +*/ +{ + if (fabs(angle) < APER_PRECISION) { + // Just a translation in the straight case + return transform_to_matrix((Transform){ .s = length }); + } + + const float_type ct = cos(tilt), st = sin(tilt); + const float_type ca = cos(angle), sa = sin(angle); + const float_type dx = length * (ca - 1) / angle; + const float_type ds = length * sa / angle; + return (Pose) { + .mat = { + {ct * ca, -st, -ct * sa, ct * dx }, + {st * ca, ct, -st * sa, st * dx }, + { sa, 0.f, ca, ds }, + { 0.f, 0.f, 0.f, 1.f } + } + }; +} + + +inline float_type point2d_dot(Point2D a, Point2D b) +{ + return a.x * b.x + a.y * b.y; +} + + +inline float_type point2d_cross(Point2D a, Point2D b) +{ + return a.x * b.y - a.y * b.x; +} + + +inline Point2D point2d_scale(Point2D p, float_type k) +{ + return (Point2D) {k * p.x, k * p.y}; +} + + +inline Point2D point2d_add(Point2D a, Point2D b) +{ + return (Point2D) {a.x + b.x, a.y + b.y}; +} + + +inline Point2D point2d_sub(Point2D a, Point2D b) +{ + return point2d_add(a, point2d_scale(b, -1)); +} + + +inline float_type clamp_value(float_type t, float_type lo, float_type hi) { + return (t < lo) ? lo : (t > hi) ? hi : t; +} + + +inline float_type point2d_distance(float_type x1, float_type y1, float_type x2, float_type y2) +/* Get the distance between two 2D points */ +{ + float_type dx = x2 - x1; + float_type dy = y2 - y1; + return hypot(dx, dy); +} + + +inline void point2d_translate(float_type dx, float_type dy, Point2D* points, const int len_points) +/* Translate the `points` by (dx, dy) + +Contract: len_points=len(points) +*/ +{ + for (int i = 0; i < len_points; i++) { + points[i].x += dx; + points[i].y += dy; + } +} + + +static inline float_type elliptic_E_adaptive(float_type a, float_type b, float_type eps, int depth, float_type m) +/* Incomplete elliptic integral of the second kind E(phi, k) + Uses libm ellint_2/comp_ellint_2 when available (glibc), + otherwise falls back to a small adaptive Simpson integrator. +*/ +{ + float_type c = 0.5 * (a + b); + float_type fa = sqrt(1.0 - m * sin(a) * sin(a)); + float_type fb = sqrt(1.0 - m * sin(b) * sin(b)); + float_type fc = sqrt(1.0 - m * sin(c) * sin(c)); + float_type h = b - a; + float_type S = (fa + 4.0 * fc + fb) * h / 6.0; + float_type left_c = 0.5 * (a + c); + float_type right_c = 0.5 * (c + b); + float_type f_left_c = sqrt(1.0 - m * sin(left_c) * sin(left_c)); + float_type f_right_c = sqrt(1.0 - m * sin(right_c) * sin(right_c)); + float_type Sleft = (fa + 4.0 * f_left_c + fc) * (h / 2.0) / 6.0; + float_type Sright = (fc + 4.0 * f_right_c + fb) * (h / 2.0) / 6.0; + if (depth <= 0 || fabs(Sleft + Sright - S) < 15.0 * eps) + return Sleft + Sright + (Sleft + Sright - S) / 15.0; + return elliptic_E_adaptive(a, c, eps / 2.0, depth - 1, m) + + elliptic_E_adaptive(c, b, eps / 2.0, depth - 1, m); +} + + +static inline float_type elliptic_E_numeric(float_type phi, float_type k) +{ + float_type m = k * k; + float_type sign = (phi >= 0.0) ? 1.0 : -1.0; + float_type abs_phi = fabs(phi); + float_type period = M_PI; /* integrand is periodic in pi */ + float_type half_pi = 0.5 * M_PI; + float_type base_complete = elliptic_E_adaptive(0.0, half_pi, 1e-10, 12, m); + float_type per_value = 2.0 * base_complete; /* integral over one period */ + long periods = (long)(abs_phi / period); + float_type remainder = abs_phi - periods * period; + float_type total = periods * per_value; + if (remainder > 0.0) + total += elliptic_E_adaptive(0.0, remainder, 1e-10, 12, m); + return sign * total; +} + + +float_type elliptic_E(float_type phi, float_type k) +{ + if (k < 0.0 || k >= 1.0) + return NAN; + return elliptic_E_numeric(phi, k); +} + + +float_type elliptic_E_complete(float_type k) +{ + if (k < 0.0 || k >= 1.0) + return NAN; + return elliptic_E_numeric(0.5 * M_PI, k); +} + + +inline float_type sinc(float_type x) { + if (fabs(x) < 1e-8f) return 1.0f; + return sin(x) / x; +} + +inline Pose identity() { + Pose id = {0}; + for (int i = 0; i < 4; i++) id.mat[i][i] = 1; + return id; +} + + +inline Pose matrix_multiply(const Pose a, const Pose b) { + Pose result; + for (int i = 0; i < 4; i++) { + result.mat[i][0] = a.mat[i][0] * b.mat[0][0] + a.mat[i][1] * b.mat[1][0] + a.mat[i][2] * b.mat[2][0] + a.mat[i][3] * b.mat[3][0]; + result.mat[i][1] = a.mat[i][0] * b.mat[0][1] + a.mat[i][1] * b.mat[1][1] + a.mat[i][2] * b.mat[2][1] + a.mat[i][3] * b.mat[3][1]; + result.mat[i][2] = a.mat[i][0] * b.mat[0][2] + a.mat[i][1] * b.mat[1][2] + a.mat[i][2] * b.mat[2][2] + a.mat[i][3] * b.mat[3][2]; + result.mat[i][3] = a.mat[i][0] * b.mat[0][3] + a.mat[i][1] * b.mat[1][3] + a.mat[i][2] * b.mat[2][3] + a.mat[i][3] * b.mat[3][3]; + } + return result; +} + + +static inline Pose pose_inverse_rigid(const Pose p) +/* Invert a rigid transform. */ +{ + Pose inv; + + /* Transpose rotation */ + for (uint8_t i = 0; i < 3; i++) { + for (uint8_t j = 0; j < 3; j++) { + inv.mat[i][j] = p.mat[j][i]; + } + } + + /* Compute -R^T t */ + const float_type tx = p.mat[0][3]; + const float_type ty = p.mat[1][3]; + const float_type tz = p.mat[2][3]; + + inv.mat[0][3] = -(inv.mat[0][0] * tx + inv.mat[0][1] * ty + inv.mat[0][2] * tz); + inv.mat[1][3] = -(inv.mat[1][0] * tx + inv.mat[1][1] * ty + inv.mat[1][2] * tz); + inv.mat[2][3] = -(inv.mat[2][0] * tx + inv.mat[2][1] * ty + inv.mat[2][2] * tz); + + inv.mat[3][0] = 0.f; + inv.mat[3][1] = 0.f; + inv.mat[3][2] = 0.f; + inv.mat[3][3] = 1.f; + + return inv; +} + + + +inline Pose transform_to_matrix(const Transform t) +{ + const float_type s_phi = sin(t.rot_x); + const float_type c_phi = cos(t.rot_x); + const float_type s_theta = sin(t.rot_y); + const float_type c_theta = cos(t.rot_y); + const float_type s_psi = sin(t.rot_s); + const float_type c_psi = cos(t.rot_s); + + return (Pose) { + .mat = { + { + -s_phi * s_psi * s_theta + c_psi * c_theta, + -c_psi * s_phi * s_theta - c_theta * s_psi, + c_phi * s_theta, + t.x + }, + { + c_phi * s_psi, + c_phi * c_psi, + s_phi, + t.y + }, + { + -c_theta * s_phi * s_psi - c_psi * s_theta, + -c_psi * c_theta * s_phi + s_psi * s_theta, + c_phi * c_theta, + t.s + }, + {0, 0, 0, 1} + } + }; +} + + +inline Transform matrix_to_transform(const Pose m) { + return (Transform) { + .x = m.mat[0][3], + .y = m.mat[1][3], + .s = m.mat[2][3], + .rot_x = atan2(m.mat[1][2], sqrt(m.mat[1][0] * m.mat[1][0] + m.mat[1][1] * m.mat[1][1])), + .rot_y = atan2(m.mat[0][2], m.mat[2][2]), + .rot_s = atan2(m.mat[1][0], m.mat[1][1]) + }; +} + + +inline Point3D point3d_sub(const Point3D a, const Point3D b) +{ + return (Point3D){ a.x - b.x, a.y - b.y, a.z - b.z }; +} + + +inline float_type point3d_dot(const Point3D a, const Point3D b) +{ + return a.x * b.x + a.y * b.y + a.z * b.z; +} + + +inline Point3D point3d_add_scaled(const Point3D a, const Point3D v, const float_type t) +{ + return (Point3D){ + a.x + t * v.x, + a.y + t * v.y, + a.z + t * v.z + }; +} + + +inline Point3D pose_apply_point(const Pose p, const Point3D v) +/* Apply a Pose matrix to a 3D point */ +{ + const float_type x = p.mat[0][0] * v.x + p.mat[0][1] * v.y + p.mat[0][2] * v.z + p.mat[0][3]; + const float_type y = p.mat[1][0] * v.x + p.mat[1][1] * v.y + p.mat[1][2] * v.z + p.mat[1][3]; + const float_type z = p.mat[2][0] * v.x + p.mat[2][1] * v.y + p.mat[2][2] * v.z + p.mat[2][3]; + return (Point3D){ x, y, z }; +} + +#endif /* APERTURE_BASE_H */ diff --git a/xtrack/aperture/headers/beam_aperture.h b/xtrack/aperture/headers/beam_aperture.h new file mode 100644 index 000000000..357f4f173 --- /dev/null +++ b/xtrack/aperture/headers/beam_aperture.h @@ -0,0 +1,796 @@ +#ifndef XTRACK_BEAM_APERTURE_H +#define XTRACK_BEAM_APERTURE_H + +#include +#include + +#include "xobjects/headers/common.h" +#include "base.h" +#include "path.h" +#include "polygon_algs.h" + +typedef struct +{ + float_type x; // closed orbit x + float_type y; // closed orbit y + float_type betx; // beta x + float_type bety; // beta y + float_type dx; // dispersion x + float_type dy; // dispersion y + float_type delta; // relative energy deviation + float_type gamma; // relativistic gamma + float_type beta; +} TwissLocalData; + + +typedef struct { + float_type emitx_norm; // normalized emittance x + float_type emity_norm; // normalized emittance y + float_type delta_rms; // rms energy spread + float_type tol_co; // tolerance for closed orbit [co_radius] + float_type tol_disp; // tolerance for normalized dispersion [dqf] + float_type tol_disp_ref; // tolerance for reference dispersion derivative [paras_dx] + float_type tol_disp_ref_beta; // tolerance for reference dispersion beta [betaqfx] + float_type tol_beta_beating; // tolerance for beta beating in sigma [beta_beating] + float_type halo_x; // n sigma of horizontal halo + float_type halo_y; // n sigma of vertical halo + float_type halo_r; // n sigma of 45 degree halo + float_type halo_primary; // n sigma of primary halo +} BeamLocalData; + + +static inline Racetrack_s halo_racetrack( + const TwissLocalData *twiss, + const BeamLocalData *beam, + const BeamApertureLocalData *aperture +) +{ + const float_type tol_dx = + beam->tol_beta_beating * + beam->tol_disp * + beam->tol_disp_ref * + sqrt(twiss->betx / beam->tol_disp_ref_beta) * + beam->delta_rms; + + const float_type tol_dy = + beam->tol_beta_beating * + beam->tol_disp * + beam->tol_disp_ref * + sqrt(twiss->bety / beam->tol_disp_ref_beta) * + beam->delta_rms; + + const float_type tol_x = aperture->tol_x; + const float_type tol_y = aperture->tol_y; + const float_type tol_r = aperture->tol_r; + const float_type tol_rx = tol_r + beam->tol_co + tol_dx; + const float_type tol_ry = tol_r + beam->tol_co + tol_dy; + + Racetrack_s rt = { + .h = tol_x + tol_rx, + .v = tol_y + tol_ry, + .a = tol_rx, + .b = tol_ry, + }; + return rt; +} + + +static inline Racetrack_s beam_racetrack( + const TwissLocalData *twiss, + const BeamLocalData *beam +) +{ + const float_type hx = beam->halo_x / beam->halo_primary; + const float_type hy = beam->halo_y / beam->halo_primary; + const float_type hr = beam->halo_r / beam->halo_primary; + + const float_type ex = beam->emitx_norm / (twiss->gamma * twiss->beta); + const float_type ey = beam->emity_norm / (twiss->gamma * twiss->beta); + + const float_type sigma_x = sqrt(ex * twiss->betx) * beam->tol_beta_beating; + const float_type sigma_y = sqrt(ey * twiss->bety) * beam->tol_beta_beating; + + /* + We describe the beam of the shape described by hx, hy, and hr as a + racetrack, leading to the following equations, where sh and sv are the + width and height of a rectangle, which, when convolved with a circle of + radius sr (Minkowski sum) yields our racetrack: + + { hx = sh + sr (width), + { hy = sv + sr (height), + { hr = sqrt(sh ** 2 + sv ** 2) + sr (radial maximum: through (sh, sv)). + + Solving these for gives the following: + */ + const float_type sr = hx + hy - hr - sqrt(2 * (hr - hx) * (hr - hy)); + + Racetrack_s rt = { + .h = hx * sigma_x, + .v = hy * sigma_y, + .a = sr * sigma_x, + .b = sr * sigma_y, + }; + return rt; +} + + +static inline void polygon_from_racetrack( + const Racetrack_s rt, + const int len_points, + Point2D *out_points +) +{ + Segment2D segments[8]; + Path2D path = (Path2D){ + .segments = segments, + .len_segments = 8, + }; + + segments_from_racetrack(rt.h, rt.v, rt.a, rt.b, path.segments, &path.len_segments); + poly_get_n_uniform_points(&path, len_points, out_points); +} + + +static inline void get_beam_envelope_from_racetracks( + const TwissLocalData *twiss_data, + const BeamLocalData *beam_data, + const Racetrack_s halo_rt, + const Racetrack_s beam_rt_1s, + const float_type sigmas, + const int len_points, + Point2D *out_points +) +{ + const Racetrack_s env_rt = add_racetracks(halo_rt, scale_racetrack(beam_rt_1s, sigmas)); + polygon_from_racetrack(env_rt, len_points, out_points); + + /* Include the dispersive orbit shift effect */ + const Point2D disp_orbit_shift = {twiss_data->dx * beam_data->delta_rms, twiss_data->dy * beam_data->delta_rms}; + convolve_poly_and_segment(out_points, len_points, disp_orbit_shift); + + /* Shift according to the closed orbit – assuming closed orbit relative to aperture center */ + point2d_translate(twiss_data->x, twiss_data->y, out_points, len_points); +} + + +void get_beam_envelope( + const BeamLocalData *beam_data, + const TwissLocalData *twiss_data, + const BeamApertureLocalData *aperture_data, + const float_type sigmas, + int len_points, + Point2D *out_points +) +{ + const Racetrack_s beam_rt_1s = beam_racetrack(twiss_data, beam_data); + const Racetrack_s halo_rt = halo_racetrack(twiss_data, beam_data, aperture_data); + get_beam_envelope_from_racetracks( + twiss_data, + beam_data, + halo_rt, + beam_rt_1s, + sigmas, + len_points, + out_points + ); +} + + +char horizontal_ray_intersects_segment(const Point2D* q, const Point2D* a, const Point2D* b) +{ + // Straddle test + const int above_a = (a->y > q->y); + const int above_b = (b->y > q->y); + if (above_a == above_b) return 0; + + /* We are within the horizontal "strip" delimited by `a.y` and `b.y`. + + To check the intersection, we compare the tangent of ab segment and + the aq segment (here assuming `b` above `a`, otherwise we need to flip + the comparison -- done on the `return` line): + + tan_segment = (b.y - a.y) / (b.x - a.x) + tan_point = (q.y - a.y) / (q.x - a.x) + intersects = tan_point >= tan_segment + + To avoid division by zero we can cross-multiply: + */ + const float_type dx = b->x - a->x; + const float_type dy = b->y - a->y; + + const float_type lhs = dx * (q->y - a->y); + const float_type rhs = (q->x - a->x) * dy; + + return (dy > 0) ? (lhs > rhs) : (lhs < rhs); +} + + +char is_point_inside_polygon(const Point2D* point, const Point2D* points, const int len_points) +/* Determine if a point is inside a polygon. + +Assume the polygon is closed, i.e. that points[-1] == points[0]. + +Contract: len_points=len(points) +*/ +{ + char inside = 0; + for (int i = 0; i < len_points - 1; i++) + { + const Point2D* a = &points[i]; + const Point2D* b = &points[i + 1]; + inside ^= horizontal_ray_intersects_segment(point, a, b); + } + + // If count is odd, point is inside (return true), otherwise return false + return inside; +} + + +char _is_point_inside_polygon(const float_type* point, const float_type* points, const int len_points) +/* This function is exposed for testing purposes */ +{ + return is_point_inside_polygon((const Point2D*) point, (const Point2D*) points, len_points); +} + + +char points_inside_polygon(const Point2D* points, const Point2D* poly_points, const int len_points, const int len_poly_points) +/* Given a set of point, determine if they are inside a polygon. False if there +is at least one point outside of the polygon, and true if all points +are contained in the polygon. + +Assume the polygon is closed, i.e. that poly_points[-1] == poly_points[0]. + +Contract: len_points=len(points); len_poly_points=len(poly_points) +*/ +{ + for (int i = 0; i < len_points; i++) + { + const Point2D point = points[i]; + if (!is_point_inside_polygon(&point, poly_points, len_poly_points)) + return 0; + } + return 1; +} + + +char _points_inside_polygon(const float_type* points, const float_type* poly_points, const int len_points, const int len_poly_points) +{ + return points_inside_polygon((const Point2D*) points, (const Point2D*) poly_points, len_points, len_poly_points); +} + + +float_type max_aperture_sigma_bisect_one_slice( + const BeamLocalData *beam_data, + const TwissLocalData *twiss_data, + const BeamApertureLocalData *aperture_data, + const int len_points, + const float_type lower_bound, + const float_type upper_bound, + const float_type tol, + Point2D *out_points +) +/* Obtain the maximum number of sigmas that the beam fits within the aperture. + +Contract: len(out_points)=len_points; len_poly_points=len(poly_points) +*/ +{ + const Point2D* poly_points = aperture_data->points; + const float_type len_poly_points = aperture_data->n_points; + + float_type lo = lower_bound; + float_type hi = upper_bound; + + while (hi - lo > tol) { + const float_type mid = (lo + hi) / 2; + get_beam_envelope(beam_data, twiss_data, aperture_data, mid, len_points, out_points); + char inside = points_inside_polygon(out_points, poly_points, len_points, len_poly_points); + + if (inside) lo = mid; + else hi = mid; + } + + get_beam_envelope(beam_data, twiss_data, aperture_data, lo, len_points, out_points); + + return lo; +} + + +static inline BeamLocalData beam_data_get_entry(const BeamData beam_data) +{ + return (BeamLocalData){ + .emitx_norm = BeamData_get_emitx_norm(beam_data), + .emity_norm = BeamData_get_emity_norm(beam_data), + .delta_rms = BeamData_get_delta_rms(beam_data), + .tol_co = BeamData_get_tol_co(beam_data), + .tol_disp = BeamData_get_tol_disp(beam_data), + .tol_disp_ref = BeamData_get_tol_disp_ref(beam_data), + .tol_disp_ref_beta = BeamData_get_tol_disp_ref_beta(beam_data), + .tol_beta_beating = BeamData_get_tol_beta_beating(beam_data), + .halo_x = BeamData_get_halo_x(beam_data), + .halo_y = BeamData_get_halo_y(beam_data), + .halo_r = BeamData_get_halo_r(beam_data), + .halo_primary = BeamData_get_halo_primary(beam_data), + }; +} + +static inline TwissLocalData twiss_data_get_entry(const TwissData twiss_data, const uint32_t idx_slice) +{ + return (TwissLocalData){ + .x = TwissData_get_x(twiss_data, idx_slice), + .y = TwissData_get_y(twiss_data, idx_slice), + .betx = TwissData_get_betx(twiss_data, idx_slice), + .bety = TwissData_get_bety(twiss_data, idx_slice), + .dx = TwissData_get_dx(twiss_data, idx_slice), + .dy = TwissData_get_dy(twiss_data, idx_slice), + .delta = TwissData_get_delta(twiss_data, idx_slice), + .gamma = TwissData_get_gamma(twiss_data), + .beta = TwissData_get_beta(twiss_data), + }; +} + + +void compute_max_aperture_sigma_bisection( + ApertureModel model, + SurveyData survey, + ProfilePolygons profile_polygons, + ApertureBounds aperture_bounds, + TwissData twiss_at_s, + SurveyData survey_at_s, + BeamData beam_data, + float_type* const out_interpolated_apertures, + const uint32_t envelope_num_points, + float_type* const out_envelope_at_max_sigma, + float_type* const sigmas +) { + const uint32_t num_slices = TwissData_len_x(twiss_at_s); + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polygons); + + BeamLocalData s_beam_data = beam_data_get_entry(beam_data); + + #ifdef XO_CONTEXT_CPU + int completed = 0; + #endif + + // TODO: Make this also compatible with GPUs + uint32_t cross_section_bound_index = 0; + IF_OMP_PRAGMA("omp parallel for firstprivate(cross_section_bound_index)") + for (uint32_t idx_slice = 0; idx_slice < num_slices; idx_slice++) + { + const TwissLocalData s_twiss_data = twiss_data_get_entry(twiss_at_s, idx_slice); + Point2D aperture_points[len_points]; + BeamApertureLocalData s_aperture_data = { + .points = aperture_points, + }; + cross_section_bound_index = cross_section_at_s( + survey_at_s, + idx_slice, + model, + profile_polygons, + aperture_bounds, + survey, + cross_section_bound_index, + (float_type*)s_aperture_data.points, + &s_aperture_data.tol_r, + &s_aperture_data.tol_x, + &s_aperture_data.tol_y + ); + s_aperture_data.n_points = len_points; + if (out_interpolated_apertures != NULL) + memcpy(out_interpolated_apertures + idx_slice * len_points * 2, aperture_points, len_points * sizeof(Point2D)); + + Point2D envelope_points[envelope_num_points]; + + const float_type sigma = max_aperture_sigma_bisect_one_slice( + &s_beam_data, + &s_twiss_data, + &s_aperture_data, + envelope_num_points, + /* lower bound on search */ 0, + /* upper bound on search */ 10000, + /* tolerance on search */ 0.001, + envelope_points + ); + sigmas[idx_slice] = sigma; + if (out_envelope_at_max_sigma != NULL) + memcpy(out_envelope_at_max_sigma + idx_slice * envelope_num_points * 2, envelope_points, envelope_num_points * sizeof(Point2D)); + + #ifdef XO_CONTEXT_CPU + IF_OMP_PRAGMA("omp critical") + { + completed++; + printf("Computing sigmas: %d%%\r", 100 * completed / num_slices); + fflush(stdout); + } + #endif + } + + #ifdef XO_CONTEXT_CPU + printf("\n"); + #endif +} + + +void compute_beam_envelopes_at_sigma( + ApertureModel model, + ApertureBounds aperture_bounds, + TwissData twiss_at_s, + BeamData beam_data, + const float_type sigmas, + const uint32_t envelope_num_points, + const int8_t include_aper_tols, + float_type* const out_envelope +) { + const uint32_t num_slices = TwissData_len_x(twiss_at_s); + BeamLocalData s_beam_data = beam_data_get_entry(beam_data); + + #ifdef XO_CONTEXT_CPU + int completed = 0; + #endif + + // TODO: Make this also compatible with GPUs + uint32_t bound_index = 0; + IF_OMP_PRAGMA("omp parallel for firstprivate(bound_index)") + for (uint32_t idx_slice = 0; idx_slice < num_slices; idx_slice++) + { + float_type s = TwissData_get_s(twiss_at_s, idx_slice); + const TwissLocalData s_twiss_data = twiss_data_get_entry(twiss_at_s, idx_slice); + + BeamApertureLocalData s_aperture_data = { + .points = NULL, + }; + + if (include_aper_tols) { + bound_index = interpolate_aperture_tolerances_at_s( + model, aperture_bounds, s, bound_index, + &s_aperture_data.tol_r, &s_aperture_data.tol_x, &s_aperture_data.tol_y); + } + + Point2D* out_points = (Point2D*)(out_envelope + idx_slice * envelope_num_points * 2); + get_beam_envelope( + &s_beam_data, + &s_twiss_data, + &s_aperture_data, + sigmas, + envelope_num_points, + out_points + ); + + #ifdef XO_CONTEXT_CPU + IF_OMP_PRAGMA("omp critical") + { + completed++; + printf("Computing beam envelopes: %d%%\r", 100 * completed / num_slices); + fflush(stdout); + } + #endif + } + + #ifdef XO_CONTEXT_CPU + printf("\n"); + #endif +} + + +static inline float_type _envelope_at_n_error( + float_type n, + float_type angle, + float_type d_target, + Racetrack_s halo, + Racetrack_s beam +) +/* Returns racetrack_radius_at_angle(angle, halo + n*beam) - d_target */ +{ + Racetrack_s beam_at_n = scale_racetrack(beam, n); + Racetrack_s rt = add_racetracks(halo, beam_at_n); + return racetrack_radius_at_angle(angle, rt) - d_target; +} + + +static inline float_type compute_n1_for_point( + float_type angle, + float_type d_target, + Racetrack_s halo, + Racetrack_s beam, + float_type n0, + float_type n1 +) +/* + Find ``n`` such that the envelope ``halo + n * beam`` has a radius at angle ``angle`` equal to ``d_target``. + + Parameters: + ----------- + angle, d_target: + Ray for which we are computing n1. + halo: + Racetrack describing the halo. + beam: + Racetrack describing the beam in 1-sigma units. + n0, n1: + Initial guesses. + + Returns: + -------- + Computed ``n1``. + */ +{ + const int n_iter = 2; + const float_type eps = APER_PRECISION; + + float_type f0 = _envelope_at_n_error(n0, angle, d_target, halo, beam); + float_type f1 = _envelope_at_n_error(n1, angle, d_target, halo, beam); + + for (int i = 0; i < n_iter; i++) + { + float_type denominator = (f1 - f0); + if (fabs(denominator) < eps) break; + + // Newton step + float_type n2 = n1 - f1 * (n1 - n0) / denominator; + + n0 = n1; + f0 = f1; + + n1 = n2; + f1 = _envelope_at_n_error(n1, angle, d_target, halo, beam); + } + + return n1; +} + + +void compute_max_aperture_sigma_rays( + ApertureModel model, + SurveyData survey, + ProfilePolygons profile_polygons, + ApertureBounds aperture_bounds, + TwissData twiss_at_s, + SurveyData survey_at_s, + BeamData beam_data, + float_type* const out_interpolated_apertures, + const uint32_t envelope_num_points, + float_type* const out_envelope_at_max_sigma, + float_type* const ray_angles, + const uint32_t num_ray_angles, + float_type* const out_sigmas +) { + const uint32_t num_slices = TwissData_len_x(twiss_at_s); + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polygons); + + BeamLocalData s_beam_data = beam_data_get_entry(beam_data); + + #ifdef XO_CONTEXT_CPU + int completed = 0; + #endif + + // TODO: Make this also compatible with GPUs + uint32_t cross_section_bound_index = 0; + IF_OMP_PRAGMA("omp parallel for firstprivate(cross_section_bound_index)") + for (uint32_t idx_slice = 0; idx_slice < num_slices; idx_slice++) + { + const TwissLocalData s_twiss_data = twiss_data_get_entry(twiss_at_s, idx_slice); + Point2D aperture_points[len_points]; + BeamApertureLocalData s_aperture_data = { + .points = aperture_points, + }; + cross_section_bound_index = cross_section_at_s( + survey_at_s, + idx_slice, + model, + profile_polygons, + aperture_bounds, + survey, + cross_section_bound_index, + (float_type*)s_aperture_data.points, + &s_aperture_data.tol_r, + &s_aperture_data.tol_x, + &s_aperture_data.tol_y + ); + s_aperture_data.n_points = len_points; + if (out_interpolated_apertures != NULL) + memcpy(out_interpolated_apertures + idx_slice * len_points * 2, aperture_points, len_points * sizeof(Point2D)); + + Racetrack_s halo_rt = halo_racetrack(&s_twiss_data, &s_beam_data, &s_aperture_data); + Racetrack_s beam_rt = beam_racetrack(&s_twiss_data, &s_beam_data); + Racetrack_s envelope_one_sigma_rt = add_racetracks(halo_rt, beam_rt); + + float_type aperture_distances_minus[num_ray_angles]; + float_type aperture_distances_plus[num_ray_angles]; + + const float_type disp_orbit_shift_x = s_twiss_data.dx * s_beam_data.delta_rms; + const float_type disp_orbit_shift_y = s_twiss_data.dy * s_beam_data.delta_rms; + + for (int disp_side = 0; disp_side < 2; disp_side++) + { + const float_type sgn = disp_side == 0 ? 1 : -1; + dist_to_poly_along_rays( + ray_angles, + num_ray_angles, + s_twiss_data.x + sgn * disp_orbit_shift_x, + s_twiss_data.y + sgn * disp_orbit_shift_y, + s_aperture_data.points, + len_points, + /* convex */ 1, + disp_side == 0 ? aperture_distances_plus : aperture_distances_minus + ); + } + + float_type* const slice_sigmas = out_sigmas + idx_slice * num_ray_angles; + float_type slice_min_sigma = INFINITY; + for (uint32_t i = 0; i < num_ray_angles; i++) { + const float_type angle = ray_angles[i]; + const float_type d_halo = racetrack_radius_at_angle(angle, halo_rt); + const float_type d_envelope_one_sigma = racetrack_radius_at_angle(angle, envelope_one_sigma_rt); + const float_type d_aperture = fmin(aperture_distances_minus[i], aperture_distances_plus[i]); + const float_type n1_lin_approx = (d_aperture - d_halo) / (d_envelope_one_sigma - d_halo); + float_type n1 = compute_n1_for_point(angle, d_aperture, halo_rt, beam_rt, 0.f, n1_lin_approx); + slice_sigmas[i] = n1; + if (n1 < slice_min_sigma) + slice_min_sigma = n1; + } + + if (out_envelope_at_max_sigma != NULL) + { + Point2D envelope_points[envelope_num_points]; + get_beam_envelope_from_racetracks( + &s_twiss_data, + &s_beam_data, + halo_rt, + beam_rt, + slice_min_sigma, + envelope_num_points, + envelope_points + ); + memcpy(out_envelope_at_max_sigma + idx_slice * envelope_num_points * 2, envelope_points, envelope_num_points * sizeof(Point2D)); + } + + #ifdef XO_CONTEXT_CPU + IF_OMP_PRAGMA("omp critical") + { + completed++; + printf("Computing sigmas: %d%%\r", 100 * completed / num_slices); + fflush(stdout); + } + #endif + } + + #ifdef XO_CONTEXT_CPU + printf("\n"); + #endif +} + + +void compute_max_aperture_sigma_exact( + ApertureModel model, + SurveyData survey, + ProfilePolygons profile_polygons, + ApertureBounds aperture_bounds, + TwissData twiss_at_s, + SurveyData survey_at_s, + BeamData beam_data, + float_type* const out_interpolated_apertures, + const uint32_t envelope_num_points, + float_type* const out_envelope_at_max_sigma, + float_type* const ray_angles, + const uint32_t num_ray_angles, + float_type* const out_sigmas +) { + const uint32_t num_slices = TwissData_len_x(twiss_at_s); + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polygons); + + BeamLocalData s_beam_data = beam_data_get_entry(beam_data); + + #ifdef XO_CONTEXT_CPU + int completed = 0; + #endif + + uint32_t cross_section_bound_index = 0; + IF_OMP_PRAGMA("omp parallel for firstprivate(cross_section_bound_index)") + for (uint32_t idx_slice = 0; idx_slice < num_slices; idx_slice++) + { + const TwissLocalData s_twiss_data = twiss_data_get_entry(twiss_at_s, idx_slice); + Point2D aperture_points[len_points]; + BeamApertureLocalData s_aperture_data = { + .points = aperture_points, + }; + cross_section_bound_index = cross_section_at_s( + survey_at_s, + idx_slice, + model, + profile_polygons, + aperture_bounds, + survey, + cross_section_bound_index, + (float_type*)s_aperture_data.points, + &s_aperture_data.tol_r, + &s_aperture_data.tol_x, + &s_aperture_data.tol_y + ); + s_aperture_data.n_points = len_points; + if (out_interpolated_apertures != NULL) + memcpy(out_interpolated_apertures + idx_slice * len_points * 2, aperture_points, len_points * sizeof(Point2D)); + + const float_type disp_orbit_shift_x = s_twiss_data.dx * s_beam_data.delta_rms; + const float_type disp_orbit_shift_y = s_twiss_data.dy * s_beam_data.delta_rms; + + const Racetrack_s halo_rt = halo_racetrack(&s_twiss_data, &s_beam_data, &s_aperture_data); + const Racetrack_s beam_1s_rt = beam_racetrack(&s_twiss_data, &s_beam_data); + + float_type n1 = INFINITY; + float_type best_center_x = 0.f; + float_type best_center_y = 0.f; + for (uint32_t i = 0; i < num_ray_angles; i++) + { + const float_type angle0 = ray_angles[i]; + const float_type d_halo = racetrack_radius_at_angle(angle0, halo_rt); + const float_type cos0 = cos(angle0); + const float_type sin0 = sin(angle0); + + for (uint32_t j = 0; j < num_ray_angles; j++) + { + const float_type angle1 = ray_angles[j]; + const float_type p_minus_x = s_twiss_data.x - disp_orbit_shift_x + d_halo * cos0; + const float_type p_minus_y = s_twiss_data.y - disp_orbit_shift_y + d_halo * sin0; + const float_type p_plus_x = s_twiss_data.x + disp_orbit_shift_x + d_halo * cos0; + const float_type p_plus_y = s_twiss_data.y + disp_orbit_shift_y + d_halo * sin0; + + const RayHit_s hit_minus = dist_to_poly_along_ray( + angle1, + p_minus_x, + p_minus_y, + s_aperture_data.points, + s_aperture_data.n_points, + /* convex */ 1, + /* start_at */ 0 + ); + const RayHit_s hit_plus = dist_to_poly_along_ray( + angle1, + p_plus_x, + p_plus_y, + s_aperture_data.points, + s_aperture_data.n_points, + /* convex */ 1, + /* start_at */ 0 + ); + const float_type d_aperture = fmin(hit_minus.dist, hit_plus.dist); + const float_type sigma_ray = racetrack_radius_at_angle(angle1, beam_1s_rt); + + const float_type n_ray = d_aperture / sigma_ray; + if (n_ray < n1) { + n1 = n_ray; + if (hit_minus.dist <= hit_plus.dist) { + best_center_x = p_minus_x; + best_center_y = p_minus_y; + } else { + best_center_x = p_plus_x; + best_center_y = p_plus_y; + } + } + } + } + + out_sigmas[idx_slice] = n1; + + if (out_envelope_at_max_sigma != NULL) + { + Point2D envelope_points[envelope_num_points]; + polygon_from_racetrack(scale_racetrack(beam_1s_rt, n1), envelope_num_points, envelope_points); + point2d_translate(best_center_x, best_center_y, envelope_points, envelope_num_points); + memcpy(out_envelope_at_max_sigma + idx_slice * envelope_num_points * 2, envelope_points, envelope_num_points * sizeof(Point2D)); + } + + #ifdef XO_CONTEXT_CPU + IF_OMP_PRAGMA("omp critical") + { + completed++; + printf("Computing sigmas: %d%%\r", 100 * completed / num_slices); + fflush(stdout); + } + #endif + } + + #ifdef XO_CONTEXT_CPU + printf("\n"); + #endif +} + +#endif /* XTRACK_BEAM_APERTURE_H */ diff --git a/xtrack/aperture/headers/convert_curvilinear.h b/xtrack/aperture/headers/convert_curvilinear.h new file mode 100644 index 000000000..ed3d656e5 --- /dev/null +++ b/xtrack/aperture/headers/convert_curvilinear.h @@ -0,0 +1,120 @@ +#ifndef XTRACK_APERTURE_CONVERT_CURVILINEAR_H +#define XTRACK_APERTURE_CONVERT_CURVILINEAR_H + +#include "base.h" + +inline Point3D curvilinear_to_cartesian_point(const Point3D p_curv, const float_type h) +/* + Curvilinear (x, y, s) -> Cartesian (X, Y, Z): + + X = (R + x) cos(h s) - R + Y = y + Z = (R + x) sin(h s) + + where R = 1 / h. +*/ +{ + if (fabs(h) < APER_PRECISION) { + return (Point3D){ + .x = p_curv.x, + .y = p_curv.y, + .z = p_curv.z + }; + } + + const float_type R = 1.f / h; + const float_type theta = h * p_curv.z; + const float_type c = cos(theta); + const float_type sn = sin(theta); + + return (Point3D){ + .x = (R + p_curv.x) * c - R, + .y = p_curv.y, + .z = (R + p_curv.x) * sn + }; +} + + +inline Point3D cartesian_to_curvilinear_point(const Point3D p_cart, const float_type h) +/* + Cartesian (X, Y, Z) -> Curvilinear (x, y, s). + + Inverse of curvilinear_to_cartesian_point for the same convention. +*/ +{ + if (fabs(h) < APER_PRECISION) { + return (Point3D){ + .x = p_cart.x, + .y = p_cart.y, + .z = p_cart.z + }; + } + + const float_type R = 1.f / h; + + /* + X + R = (R + x) cos(theta) + Z = (R + x) sin(theta) + */ + const float_type v_x = p_cart.x + R; + const float_type v_z = p_cart.z; + + /* + Keep a signed (R + x) convention that is symmetric for positive/negative curvature. + */ + const float_type sgn = (h >= 0.f) ? 1.f : -1.f; + const float_type rho = sgn * hypot(v_x, v_z); + const float_type theta = atan2(sgn * v_z, sgn * v_x); + + return (Point3D){ + .x = rho - R, + .y = p_cart.y, + .z = theta * R + }; +} + + +inline Point3D cartesian_vector_to_curvilinear_at_point(const Point3D p_curv, const Point3D v_cart, const float_type h) +/* + Convert an attached Cartesian vector to curvilinear components + using the local inverse Jacobian for the arc_matrix convention. + + Input: + p_curv: attachment point in curvilinear coordinates (x, y, s) + v_cart: vector components in Cartesian basis + h: curvature + + Output: + vector components in curvilinear basis/coordinates (vx, vy, vs) +*/ +{ + if (fabs(h) < APER_PRECISION) { + return (Point3D){ + .x = v_cart.x, + .y = v_cart.y, + .z = v_cart.z + }; + } + + const float_type theta = h * p_curv.z; + const float_type c = cos(theta); + const float_type sn = sin(theta); + const float_type scale_s = 1.f + h * p_curv.x; + + /* Jacobian singularity at x = -1/h */ + if (fabs(scale_s) < APER_PRECISION) { + return (Point3D){ + .x = NAN, + .y = NAN, + .z = NAN + }; + } + + return (Point3D){ + .x = c * v_cart.x + sn * v_cart.z, + .y = v_cart.y, + .z = (-sn * v_cart.x + c * v_cart.z) / scale_s + }; +} + +#endif /* XTRACK_APERTURE_CONVERT_CURVILINEAR_H */ diff --git a/xtrack/aperture/headers/cross_sections.h b/xtrack/aperture/headers/cross_sections.h new file mode 100644 index 000000000..925b066d2 --- /dev/null +++ b/xtrack/aperture/headers/cross_sections.h @@ -0,0 +1,801 @@ +#ifndef XTRACK_CROSS_SECTIONS_H +#define XTRACK_CROSS_SECTIONS_H + +#include +#include + +#include "base.h" +#include "profile.h" +#include "survey_tools.h" +#include "zigzag_iterate.h" +#include "convert_curvilinear.h" + +typedef struct { + Point2D *points; // points defining the aperture shape + int n_points; // number of points defining the aperture shape + float_type tol_r; // radial tolerance for point-in-aperture check + float_type tol_x; // horizontal tolerance for point-in-aperture check + float_type tol_y; // vertical tolerance for point-in-aperture check +} BeamApertureLocalData; + +void build_profile_polygons(const ApertureModel, const ProfilePolygons, ApertureBounds, const SurveyData survey); +uint32_t cross_section_at_s( + const SurveyData survey_at_s, + const uint32_t idx_cross_section, + const ApertureModel, + const ProfilePolygons, + const ApertureBounds, + const SurveyData, + const uint32_t lower_bound, + float_type* cross_section, + float_type* out_tol_r, + float_type* out_tol_x, + float_type* out_tol_y); +void cross_sections_at_s( + const SurveyData survey_at_s, + const ApertureModel, + const ProfilePolygons, + const ApertureBounds, + const SurveyData, + float_type* cross_sections, + float_type* tol_r, + float_type* tol_x, + float_type* tol_y); +uint32_t interpolate_aperture_tolerances_at_s( + const ApertureModel model, + const ApertureBounds bounds, + const float_type target_s, + const uint32_t lower_bound, + float_type* out_tol_r, + float_type* out_tol_x, + float_type* out_tol_y); + +static inline float_type survey_s_for_aperture(const PipePosition, const ProfilePosition, const float_type curvature, const SurveyData, uint32_t*); +static inline void bounds_on_s_for_aperture( + const PipePosition, + const ProfilePosition, + const float_type curvature, + const SurveyData, + const Point2D* const, + const uint32_t num_poly_points, + const uint32_t installed_survey_index, + float_type* min_s, + float_type* max_s); + +static inline uint32_t find_active_profile_for_s(const ApertureBounds, const float_type s, const uint32_t lower_bound); + + +static inline Pose pose_from_pipe_position(const PipePosition pipe_pos) +{ + Pose pipe_in_survey_ref; + + for (uint8_t i = 0; i < 4; i++) + for (uint8_t j = 0; j < 4; j++) + pipe_in_survey_ref.mat[i][j] = PipePosition_get_transformation(pipe_pos, i, j); + + return pipe_in_survey_ref; +} + + +void build_profile_polygons( + const ApertureModel model, + const ProfilePolygons profile_polygons, + const ApertureBounds aperture_bounds, + const SurveyData survey +) + /* + Based on the aperture model and cross section location data, generate + the bounds for each installed profile. + */ +{ + const uint32_t num_profiles = ProfilePolygons_get_count(profile_polygons); + const uint32_t num_cross_sections = ApertureBounds_get_count(aperture_bounds); + const uint32_t num_survey_entries = SurveyData_len_s(survey); + + /* First generate polygons for profiles */ + for (uint32_t idx = 0; idx < num_profiles; idx++) + { + const Profile profile = ApertureModel_getp1_profiles(model, idx); + float_type *const points = ProfilePolygons_getp3_points(profile_polygons, idx, 0, 0); + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polygons); + + build_polygon_for_profile(points, len_points, profile); + } + + /* + Pre-process all installed profiles: compute correct s-positions for: + - the intersection points with the survey, + - the bounds along the survey s. + */ + for (uint32_t idx = 0; idx < num_cross_sections; idx++) + { + const uint32_t pipe_pos_idx = ApertureBounds_get_pipe_position_indices(aperture_bounds, idx); + const uint32_t profile_pos_idx = ApertureBounds_get_profile_position_indices(aperture_bounds, idx); + + /* Get the aperture pipe and pipe position */ + const PipePosition pipe_pos = ApertureModel_getp1_pipe_positions(model, pipe_pos_idx); + const uint32_t pipe_idx = PipePosition_get_pipe_index(pipe_pos); + const Pipe pipe = ApertureModel_getp1_pipes(model, pipe_idx); + const float_type curvature = Pipe_get_curvature(pipe); + + /* Get the profile position, and the polygon */ + const ProfilePosition profile_pos = Pipe_getp1_positions(pipe, profile_pos_idx); + const uint32_t profile_idx = ProfilePosition_get_profile_index(profile_pos); + float_type *const poly = ProfilePolygons_getp3_points(profile_polygons, profile_idx, 0, 0); + + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polygons); + + /* Get the survey s where the aperture actually sits */ + uint32_t installed_survey_index; + const float_type found_s = survey_s_for_aperture(pipe_pos, profile_pos, curvature, survey, &installed_survey_index); + + ApertureBounds_set_s_positions(aperture_bounds, idx, found_s); + + /* Get the bounds in s that the aperture spans */ + float_type min_s, max_s; + const Point2D* const profile_points = (Point2D*)poly; + bounds_on_s_for_aperture(pipe_pos, profile_pos, curvature, survey, profile_points, len_points, installed_survey_index, &min_s, &max_s); + ApertureBounds_set_s_start(aperture_bounds, idx, min_s); + ApertureBounds_set_s_end(aperture_bounds, idx, max_s); + } +} + + +static inline void aperture_profile_pose_frame( + const PipePosition pipe_pos, + const ProfilePosition profile_pos, + const float_type curvature, + const SurveyData survey, + const Pose target_frame, + Pose* out_profile_in_target_frame +) +/* + Compute: profile_in_world = survey_ref_in_world @ pipe_in_survey_ref @ profile_in_pipe +*/ +{ + // Transformation from local -> pipe frame + const float_type ds = ProfilePosition_get_shift_s(profile_pos); + Pose profile_in_axis = transform_to_matrix((Transform) { + .x = ProfilePosition_get_shift_x(profile_pos), + .y = ProfilePosition_get_shift_y(profile_pos), + .s = 0, + .rot_x = ProfilePosition_get_rot_x_rad(profile_pos), + .rot_y = ProfilePosition_get_rot_y_rad(profile_pos), + .rot_s = ProfilePosition_get_rot_s_rad(profile_pos), + }); + Pose axis_in_pipe = arc_matrix(ds, ds * curvature, 0); + Pose profile_in_pipe = matrix_multiply(axis_in_pipe, profile_in_axis); + + // Transformation from pipe frame -> survey reference point frame + Pose pipe_in_survey_ref = pose_from_pipe_position(pipe_pos); + + // Transformation from survey reference point -> world frame + const uint32_t survey_idx = PipePosition_get_survey_index(pipe_pos); + Pose survey_ref_in_world = pose_matrix_from_survey(survey, survey_idx); + + // Compute survey_ref_in_target_frame = world_in_target_frame @ survey_ref_in_world + Pose survey_ref_in_target_frame = matrix_multiply(target_frame, survey_ref_in_world); + + // Compute survey_ref_in_target_frame @ pipe_in_survey_ref @ profile_in_pipe + Pose profile_in_survey = matrix_multiply(pipe_in_survey_ref, profile_in_pipe); + *out_profile_in_target_frame = matrix_multiply(survey_ref_in_target_frame, profile_in_survey); +} + + +static inline Pose aperture_pipe_pose_in_world( + const PipePosition pipe_pos, + const SurveyData survey +) +{ + Pose pipe_in_survey_ref = pose_from_pipe_position(pipe_pos); + const uint32_t survey_idx = PipePosition_get_survey_index(pipe_pos); + Pose survey_ref_in_world = pose_matrix_from_survey(survey, survey_idx); + return matrix_multiply(survey_ref_in_world, pipe_in_survey_ref); +} + + +static inline char get_aperture_polygon_and_pose( + const ApertureModel model, + const ProfilePolygons profile_polygons, + const ApertureBounds aperture_bounds, + const SurveyData survey, + const uint32_t aper_info_idx, + const Pose target_frame, + const Point2D** out_poly, + Pose* out_profile_in_world +) +/* + Given `aper_info_idx`, the index of the aperture bounds entry corresponding to an installed profile, + return the 2D polygon of the profile (projected onto the z = 0 of the profile frame), and the pose + placing the polygon in world coordinates. +*/ +{ + const uint32_t num_bounds = ApertureBounds_get_count(aperture_bounds); + if (aper_info_idx < 0 || aper_info_idx >= num_bounds) return 0; + + const uint32_t pipe_pos_idx = ApertureBounds_get_pipe_position_indices(aperture_bounds, aper_info_idx); + const uint32_t profile_pos_idx = ApertureBounds_get_profile_position_indices(aperture_bounds, aper_info_idx); + + const PipePosition pipe_pos = ApertureModel_getp1_pipe_positions(model, pipe_pos_idx); + const uint32_t pipe_idx = PipePosition_get_pipe_index(pipe_pos); + const Pipe pipe = ApertureModel_getp1_pipes(model, pipe_idx); + + const ProfilePosition profile_pos = Pipe_getp1_positions(pipe, profile_pos_idx); + const uint32_t profile_idx = ProfilePosition_get_profile_index(profile_pos); + + /* Return the polygon */ + *out_poly = (const Point2D* const)ProfilePolygons_getp3_points(profile_polygons, profile_idx, 0, 0); + + /* Return the pose */ + const float_type curvature = Pipe_get_curvature(pipe); + aperture_profile_pose_frame(pipe_pos, profile_pos, curvature, survey, target_frame, out_profile_in_world); + return 1; +} + + +static inline void project_3d_polygon_to_plane( + const Point2D* poly_local, + const Pose profile_in_world, + const Pose world_in_plane, + const uint32_t len_points, + Point2D* out_poly_plane +) +/* Project a local 2D polygon (lying on z = 0 in the local frame) into plane frame. */ +{ + for (uint32_t j = 0; j < len_points; j++) { + const Point3D p_local = (Point3D){ poly_local[j].x, poly_local[j].y, 0.f }; + const Point3D p_world = pose_apply_point(profile_in_world, p_local); + const Point3D p_plane = pose_apply_point(world_in_plane, p_world); + out_poly_plane[j].x = p_plane.x; + out_poly_plane[j].y = p_plane.y; + } +} + + +static inline uint32_t find_best_cyclic_shift_plane( + const Point2D* p0_plane, + const Point2D* p1_plane, + const uint32_t n +) +/* Find `shift` that minimises sum of squared distances between `p0[j]` and `p1[(j + shift) % n]`. */ +{ + float_type best_cost = INFINITY; + uint32_t best_shift = 0; + + for (uint32_t shift = 0; shift < n; shift++) { + float_type cost = 0.f; + for (uint32_t j = 0; j < n; j++) { + const uint32_t k = (j + shift) % n; + const float_type dx = p0_plane[j].x - p1_plane[k].x; + const float_type dy = p0_plane[j].y - p1_plane[k].y; + cost += dx * dx + dy * dy; + } + if (cost < best_cost) { + best_cost = cost; + best_shift = shift; + } + } + + return best_shift; +} + + +static inline int intersect_segment_with_plane_and_project_xy( + Point3D a, + Point3D b, + const Pose plane_in_frame, + const Pose frame_in_plane, + const float_type curvature, + Point2D* out_xy_plane +) +/* + Intersect segment [a, b] with plane (z = 0 in the local `plane_in_frame` frame) + and project intersection into plane coordinates (x,y). Returns 1 on success, 0 otherwise. +*/ +{ + const float_type eps = APER_PRECISION; + const Point3D a_cart = a; + const Point3D b_cart = b; + Point3D plane_point = plane_initial_point(plane_in_frame); + Point3D normal = plane_normal_vector(plane_in_frame); + + /* + If there is curvature, we "unbend" it (move to curvilinear frame through + "locally rigid" transformations). This is a little bit of a hack + for profiles/planes that are not orthogonal to the pipe frame s, + but it will do for now, and avoids complex mathematics for proper + interpolation along curves (which are in this case not circle arcs!) + + TODO: This is not robust for arcs > 90°, a different method needed for that? + */ + if (fabs(curvature) > APER_PRECISION) + { + a = cartesian_to_curvilinear_point(a, curvature); + b = cartesian_to_curvilinear_point(b, curvature); + plane_point = cartesian_to_curvilinear_point(plane_point, curvature); + normal = cartesian_vector_to_curvilinear_at_point(plane_point, normal, curvature); + } + + /* + Intersect in the straight (or straightened) frame + */ + LineSegment3D seg = (LineSegment3D){ .start = a, .end = b }; + const float_type t = line_segment_plane_intersect(seg, plane_point, normal); + + if (!isfinite(t)) { + /* + Near-parallel case: if an endpoint is already on the target plane within tolerance, + use that endpoint rather than dropping the point. + */ + const Point3D a_plane = pose_apply_point(frame_in_plane, a_cart); + if (fabs(a_plane.z) <= eps) { + out_xy_plane->x = a_plane.x; + out_xy_plane->y = a_plane.y; + return 1; + } + + const Point3D b_plane = pose_apply_point(frame_in_plane, b_cart); + if (fabs(b_plane.z) <= eps) { + out_xy_plane->x = b_plane.x; + out_xy_plane->y = b_plane.y; + return 1; + } + + return 0; + } + if (t < -eps || (1.f + eps) < t) return 0; + + const float_type tt = clamp_value(t, 0.f, 1.f); + const Point3D dir = point3d_sub(seg.end, seg.start); + Point3D hit_frame = point3d_add_scaled(seg.start, dir, tt); + + /* Unbend */ + if (fabs(curvature) > APER_PRECISION) + hit_frame = curvilinear_to_cartesian_point(hit_frame, curvature); + + const Point3D hit_plane = pose_apply_point(frame_in_plane, hit_frame); + out_xy_plane->x = hit_plane.x; + out_xy_plane->y = hit_plane.y; + return 1; +} + + +void cross_sections_at_s( + const SurveyData survey_at_s, + const ApertureModel model, + const ProfilePolygons profile_polys, + const ApertureBounds bounds, + const SurveyData survey, + float_type* cross_sections, + float_type* tol_r, + float_type* tol_x, + float_type* tol_y +) +{ + const uint32_t num_cross_sections = SurveyData_len_s(survey_at_s); + + #ifdef XO_CONTEXT_CPU + int completed = 0; + #endif + + uint32_t bound_idx = 0; + IF_OMP_PRAGMA("omp parallel for firstprivate(bound_idx)") + for (uint32_t i = 0; i < num_cross_sections; i++) + { + bound_idx = cross_section_at_s( + survey_at_s, + i, + model, + profile_polys, + bounds, + survey, + bound_idx, + cross_sections + i * ProfilePolygons_get_len_points(profile_polys) * 2, + tol_r ? &tol_r[i] : NULL, + tol_x ? &tol_x[i] : NULL, + tol_y ? &tol_y[i] : NULL + ); + + #ifdef XO_CONTEXT_CPU + printf("Interpolating profiles: %d%%\r", 100 * (++completed) / num_cross_sections); + fflush(stdout); + #endif + } + + #ifdef XO_CONTEXT_CPU + printf("\n"); + #endif +} + + +uint32_t cross_section_at_s( + const SurveyData survey_at_s, + const uint32_t idx_cross_section, + const ApertureModel model, + const ProfilePolygons profile_polys, + const ApertureBounds bounds, + const SurveyData survey, + const uint32_t lower_bound, + float_type* cross_section, + float_type* out_tol_r, + float_type* out_tol_x, + float_type* out_tol_y +) +{ + const float_type eps = APER_PRECISION; + const uint32_t len_points = ProfilePolygons_get_len_points(profile_polys); + const uint32_t num_unique_points = len_points - 1; + const uint32_t num_bounds = ApertureBounds_get_count(bounds); + const float_type s = SurveyData_get_s(survey_at_s, idx_cross_section); + Point2D* poly_at_s = (Point2D*)cross_section; + + uint32_t bound_idx = interpolate_aperture_tolerances_at_s( + model, bounds, s, lower_bound, out_tol_r, out_tol_x, out_tol_y); + + if (bound_idx >= num_bounds) { + for (uint32_t j = 0; j < len_points; j++) { + poly_at_s[j].x = NAN; + poly_at_s[j].y = NAN; + } + return bound_idx; + } + + const float_type s_center = ApertureBounds_get_s_positions(bounds, bound_idx); + + const Point2D* poly_center = NULL; + const Point2D* poly_left = NULL; + const Point2D* poly_right = NULL; + Pose pose_center, pose_left, pose_right; + + float_type curvature_left = 0, curvature_right = 0; + + const uint32_t pipe_pos_idx = ApertureBounds_get_pipe_position_indices(bounds, bound_idx); + const PipePosition pipe_pos = ApertureModel_getp1_pipe_positions(model, pipe_pos_idx); + const uint32_t pipe_idx = PipePosition_get_pipe_index(pipe_pos); + const Pipe pipe = ApertureModel_getp1_pipes(model, pipe_idx); + const float_type curvature = Pipe_get_curvature(pipe); + + if (bound_idx > 0 && pipe_pos_idx == ApertureBounds_get_pipe_position_indices(bounds, bound_idx - 1)) + curvature_left = curvature; + + if (bound_idx + 1 < num_bounds && pipe_pos_idx == ApertureBounds_get_pipe_position_indices(bounds, bound_idx + 1)) + curvature_right = curvature; + + const Pose plane_in_world = pose_matrix_from_survey(survey_at_s, idx_cross_section); + const Pose pipe_in_world = aperture_pipe_pose_in_world(pipe_pos, survey); + const Pose world_in_pipe = pose_inverse_rigid(pipe_in_world); + const Pose plane_in_pipe = matrix_multiply(world_in_pipe, plane_in_world); + const Pose pipe_in_plane = pose_inverse_rigid(plane_in_pipe); + + get_aperture_polygon_and_pose(model, profile_polys, bounds, survey, bound_idx, world_in_pipe, &poly_center, &pose_center); + const char has_left = get_aperture_polygon_and_pose(model, profile_polys, bounds, survey, bound_idx - 1, world_in_pipe, &poly_left, &pose_left); + const char has_right = get_aperture_polygon_and_pose(model, profile_polys, bounds, survey, bound_idx + 1, world_in_pipe, &poly_right, &pose_right); + + Point2D poly_center_plane[len_points]; + Point2D poly_left_plane[len_points]; + Point2D poly_right_plane[len_points]; + project_3d_polygon_to_plane(poly_center, pose_center, pipe_in_plane, len_points, poly_center_plane); + if (has_left) project_3d_polygon_to_plane(poly_left, pose_left, pipe_in_plane, len_points, poly_left_plane); + if (has_right) project_3d_polygon_to_plane(poly_right, pose_right, pipe_in_plane, len_points, poly_right_plane); + + if (fabs(s - s_center) < eps) { + for (uint32_t j = 0; j < len_points; j++) poly_at_s[j] = poly_center_plane[j]; + return bound_idx; + } + + const uint32_t shift_center_left = has_left + ? find_best_cyclic_shift_plane(poly_center_plane, poly_left_plane, num_unique_points) + : 0; + const uint32_t shift_center_right = has_right + ? find_best_cyclic_shift_plane(poly_center_plane, poly_right_plane, num_unique_points) + : 0; + const char prefer_right = (s >= s_center); + + for (uint32_t j = 0; j < num_unique_points; j++) { + char has_intersection = 0; + Point2D hit_point_plane = (Point2D){ .x = NAN, .y = NAN }; + + for (uint32_t attempt = 0; attempt < 2 && !has_intersection; attempt++) + { + const int use_right = (attempt == 0) ? prefer_right : !prefer_right; + if ((use_right && !has_right) || (!use_right && !has_left)) continue; + + const Pose* pose_a = use_right ? &pose_center : &pose_left; + const Pose* pose_b = use_right ? &pose_right : &pose_center; + const Point2D* poly_a = use_right ? poly_center : poly_left; + const Point2D* poly_b = use_right ? poly_right : poly_center; + const uint32_t idx_a = use_right ? j : (j + shift_center_left) % num_unique_points; + const uint32_t idx_b = use_right ? (j + shift_center_right) % num_unique_points : j; + const float_type segment_curvature = use_right ? curvature_right : curvature_left; + + const Point3D point_a_type = pose_apply_point( + *pose_a, (Point3D){ poly_a[idx_a].x, poly_a[idx_a].y, 0.f }); + const Point3D point_b_type = pose_apply_point( + *pose_b, (Point3D){ poly_b[idx_b].x, poly_b[idx_b].y, 0.f }); + + has_intersection = intersect_segment_with_plane_and_project_xy( + point_a_type, point_b_type, plane_in_pipe, pipe_in_plane, segment_curvature, &hit_point_plane); + } + + poly_at_s[j] = has_intersection ? hit_point_plane : poly_center_plane[j]; + } + poly_at_s[len_points - 1] = poly_at_s[0]; + return bound_idx; +} + + +uint32_t interpolate_aperture_tolerances_at_s( + const ApertureModel model, + const ApertureBounds bounds, + const float_type target_s, + const uint32_t lower_bound, + float_type* out_tol_r, + float_type* out_tol_x, + float_type* out_tol_y +) +{ + const float_type eps = APER_PRECISION; + const uint32_t num_bounds = ApertureBounds_get_count(bounds); + const uint32_t bound_idx = find_active_profile_for_s(bounds, target_s, lower_bound); + + if (bound_idx >= num_bounds) { + if (out_tol_r) *out_tol_r = NAN; + if (out_tol_x) *out_tol_x = NAN; + if (out_tol_y) *out_tol_y = NAN; + return bound_idx; + } + + const uint32_t pipe_pos_idx = ApertureBounds_get_pipe_position_indices(bounds, bound_idx); + const PipePosition pipe_pos = ApertureModel_getp1_pipe_positions(model, pipe_pos_idx); + const uint32_t pipe_idx = PipePosition_get_pipe_index(pipe_pos); + const uint32_t profile_pos_idx = ApertureBounds_get_profile_position_indices(bounds, bound_idx); + const uint32_t profile_idx = ApertureModel_get_pipes_positions_profile_index(model, pipe_idx, profile_pos_idx); + const Profile profile_center = ApertureModel_getp1_profiles(model, profile_idx); + + const float_type s_center = ApertureBounds_get_s_positions(bounds, bound_idx); + const float_type tol_r_center = Profile_get_tol_r(profile_center); + const float_type tol_x_center = Profile_get_tol_x(profile_center); + const float_type tol_y_center = Profile_get_tol_y(profile_center); + + if (fabs(target_s - s_center) < eps) { + if (out_tol_r) *out_tol_r = tol_r_center; + if (out_tol_x) *out_tol_x = tol_x_center; + if (out_tol_y) *out_tol_y = tol_y_center; + return bound_idx; + } + + const char prefer_right = (target_s >= s_center); + const uint32_t side_idx = prefer_right ? bound_idx + 1 : bound_idx - 1; + const char has_side = prefer_right ? (bound_idx + 1 < num_bounds) : (bound_idx > 0); + + if (!has_side) { + if (out_tol_r) *out_tol_r = tol_r_center; + if (out_tol_x) *out_tol_x = tol_x_center; + if (out_tol_y) *out_tol_y = tol_y_center; + return bound_idx; + } + + const uint32_t pipe_pos_idx_side = ApertureBounds_get_pipe_position_indices(bounds, side_idx); + if (pipe_pos_idx_side != pipe_pos_idx) { + if (out_tol_r) *out_tol_r = tol_r_center; + if (out_tol_x) *out_tol_x = tol_x_center; + if (out_tol_y) *out_tol_y = tol_y_center; + return bound_idx; + } + + const uint32_t profile_pos_idx_side = ApertureBounds_get_profile_position_indices(bounds, side_idx); + const PipePosition pipe_pos_side = ApertureModel_getp1_pipe_positions(model, pipe_pos_idx_side); + const uint32_t pipe_idx_side = PipePosition_get_pipe_index(pipe_pos_side); + const uint32_t profile_idx_side = ApertureModel_get_pipes_positions_profile_index(model, pipe_idx_side, profile_pos_idx_side); + const Profile profile_side = ApertureModel_getp1_profiles(model, profile_idx_side); + const float_type s_side = ApertureBounds_get_s_positions(bounds, side_idx); + const float_type ds = s_side - s_center; + + if (fabs(ds) < eps) { + if (out_tol_r) *out_tol_r = tol_r_center; + if (out_tol_x) *out_tol_x = tol_x_center; + if (out_tol_y) *out_tol_y = tol_y_center; + return bound_idx; + } + + const float_type w_side = clamp_value((target_s - s_center) / ds, 0.f, 1.f); + const float_type w_center = 1.f - w_side; + + if (out_tol_r) *out_tol_r = w_center * tol_r_center + w_side * Profile_get_tol_r(profile_side); + if (out_tol_x) *out_tol_x = w_center * tol_x_center + w_side * Profile_get_tol_x(profile_side); + if (out_tol_y) *out_tol_y = w_center * tol_y_center + w_side * Profile_get_tol_y(profile_side); + return bound_idx; +} + + +static inline float_type survey_s_for_aperture( + const PipePosition pipe_pos, + const ProfilePosition profile_pos, + const float_type curvature, + const SurveyData survey, + uint32_t* found_survey_index +) +/* + Get the survey `s` at which the profile is installed. + + This is found by obtaining the intersection point of the plane on which a profile sits + and the survey. This will not be accurate when the survey does not actually pass through + the profile polygon, however in such an unlikely scenario we can clip to bounds. +*/ +{ + const float_type eps = APER_PRECISION; + const uint32_t num_survey_entries = SurveyData_len_s(survey); + const uint32_t survey_idx = PipePosition_get_survey_index(pipe_pos); + const uint8_t wrap = survey_is_closed(survey); + + // Transformation from plane (s = 0) -> world + Pose plane_in_world; + aperture_profile_pose_frame(pipe_pos, profile_pos, curvature, survey, identity(), &plane_in_world); + + /* + For data from MAD-X etc. it's likely that it's the pipe's reference survey point where the profile + intersects the survey (the true installed s), however, that is not necessarily true. We find the + s by testing that survey "segment" first, and working our way outwards in both directions. + */ + float_type found_s = NAN; + float_type last_t_right = NAN; + float_type last_t_left = NAN; + ZigZagIterator it = zigzag_iterator_new(survey_idx, num_survey_entries - 1, wrap); + do + { + Segment3D segment = survey_segment(survey, it.index); + const Point3D plane_point = plane_initial_point(plane_in_world); + const Point3D normal = plane_normal_vector(plane_in_world); + const float_type t = segment3d_plane_intersect(segment, plane_point, normal); + + const float_type pipe_s = SurveyData_get_s(survey, it.index); + + if ( + /* Candidate s on this segment, or... */ + (-eps < t && t < 1 + eps) || + /* + ...unfortunately, due to numerical instability, it can happen that for one segment + we get t > 1 + eps, but for the adjacent one t < -eps (or analogously on the left + side). Detect if there was a sign change, and if so return the current solution. + */ + (it.offset > 0 && isfinite(last_t_right) && signbit(t) != signbit(last_t_right)) || + (it.offset < 0 && isfinite(last_t_left) && signbit(t) != signbit(last_t_left)) + ) { + const float_type dist = t * segment3d_get_length(segment); + found_s = pipe_s + dist; + *found_survey_index = it.index; + break; + } + + if (it.offset >= 0 && isfinite(t)) last_t_right = t; + if (it.offset <= 0 && isfinite(t)) last_t_left = t; + } while (zigzag_iterator_next(&it)); + + if (!isfinite(found_s)) + printf("survey_s_for_aperture returning NAN: profile sits outside of the survey, a bug in the aperture model?\n"); + fflush(stdout); + return found_s; +} + + +static inline void bounds_on_s_for_aperture( + const PipePosition pipe_pos, + const ProfilePosition profile_pos, + const float_type curvature, + const SurveyData survey, + const Point2D* const profile_points, + const uint32_t num_poly_points, + const uint32_t installed_survey_index, + float_type* min_s, + float_type* max_s +) +/* + Get the survey s bounds that an installed profile spans. + + For each point of the installed profile in 3D space compute the s coordinate along the survey + to which the point is closest, and take the minimum and maximum of those across all points. + + We ignore the degenerate cases where the curvature is such that a point is stuck in the centre + of the arc. We also assume that once the shortest distance hits the middle of a given survey + segment (as opposed to being clamped to the edge points) we have found the right segment. + This is a fair assumption as the diameter of a profile << radius of curvature of the survey, + but if that is not the case, the bounds will not be correct. +*/ +{ + const float_type eps = APER_PRECISION; + const uint32_t num_survey_entries = SurveyData_len_s(survey); + const uint8_t wrap = survey_is_closed(survey); + + // Transformation profile local -> world frame + Pose profile_in_world; + aperture_profile_pose_frame(pipe_pos, profile_pos, curvature, survey, identity(), &profile_in_world); + + float_type out_min = INFINITY; + float_type out_max = -INFINITY; + + for (uint32_t poly_point_idx = 0; poly_point_idx < num_poly_points; poly_point_idx++) + { + const Point3D pt_in_profile = (Point3D){ + profile_points[poly_point_idx].x, + profile_points[poly_point_idx].y, + 0 + }; + const Point3D pt_in_world = pose_apply_point(profile_in_world, pt_in_profile); + + float_type closest_s = NAN; + float_type last_t_right = NAN; + float_type last_t_left = NAN; + /* + It's likely that survey segment at the installed s is where the bounds are, however this + might not be always the case. So we test other segments working our way outwards in both directions. + */ + ZigZagIterator it = zigzag_iterator_new(installed_survey_index, num_survey_entries - 1, wrap); + do + { + const Segment3D seg = survey_segment(survey, it.index); + const float_type t = closest_t_on_segment(pt_in_world, seg); + + if ( + /* Candidate s on this segment, or... */ + (-eps < t && t < 1 + eps) || + /* + ...unfortunately, due to numerical instability, it can happen that for one segment + we get t > 1 + eps, but for the adjacent one t < -eps (or analogously on the left + side). Detect if there was a sign change, and if so return the current solution. + */ + (it.offset > 0 && isfinite(last_t_right) && signbit(t) != signbit(last_t_right)) || + (it.offset < 0 && isfinite(last_t_left) && signbit(t) != signbit(last_t_left)) + ) { + const float_type seg_s_start = SurveyData_get_s(survey, it.index); + const float_type seg_len = segment3d_get_length(seg); + closest_s = seg_s_start + t * seg_len; + break; + } + + if (it.offset >= 0 && isfinite(t)) last_t_right = t; + if (it.offset <= 0 && isfinite(t)) last_t_left = t; + } while (zigzag_iterator_next(&it)); + + if (closest_s < out_min) out_min = closest_s; + if (closest_s > out_max) out_max = closest_s; + } + + if (!isfinite(out_min) || !isfinite(out_max)) { + *min_s = NAN; + *max_s = NAN; + printf("Warning: returning NAN from the aperture bounds calculation...\n"); + fflush(stdout); + } else { + *min_s = out_min; + *max_s = out_max; + } +} + + +static inline uint32_t find_active_profile_for_s( + const ApertureBounds aperture_bounds, + const float_type target_s, + const uint32_t lower_bound +) +/* + Find an anchor profile index for interpolation at target_s. + + Assumes bounds are non-overlapping and ordered by s. + + Returns: + -------- + If target_s is inside some bound, return that interval's index. If target_s is between intervals, + return the index of the bound immediately preceding target_s (last one in sequence on s clash). +*/ +{ + const uint32_t num_bounds = ApertureBounds_get_count(aperture_bounds); + uint32_t idx = lower_bound; + + while (idx + 1 < num_bounds && target_s >= ApertureBounds_get_s_start(aperture_bounds, idx + 1)) { + idx++; + } + + return idx; +} + +#endif /* XTRACK_CROSS_SECTIONS_H */ diff --git a/xtrack/aperture/headers/path.h b/xtrack/aperture/headers/path.h new file mode 100644 index 000000000..013d57928 --- /dev/null +++ b/xtrack/aperture/headers/path.h @@ -0,0 +1,932 @@ +#ifndef APERTURE_PATH_H +#define APERTURE_PATH_H + +#include +#include +#include + +#include "path.h" +#include "base.h" + +/* 2D PATH made of segments + +ISSUES: + - no bezier segments yet + - no splines yet + - path assumed to be continuous but not enforced by the structure +*/ + +#ifndef M_2PI + #define M_2PI (2.0 * M_PI) +#endif + +#ifndef M_PI_2 + #define M_PI_2 (0.5 * M_PI) +#endif + +#ifndef POINTS_PER_ARC + #define POINTS_PER_ARC 10 +#endif + + +typedef enum { + LINE_SEGMENT_TYPE, + ARC_SEGMENT_TYPE, + ELLIPSE_ARC_SEGMENT_TYPE, + // QUADRATIC_BEZIER_SEGMENT_TYPE, + // CUBIC_BEZIER_SEGMENT_TYPE, +} SegmentType2D; + + +typedef struct { + SegmentType2D type; + union { + struct { float_type x0, y0, x1, y1; } line_params; + struct { float_type cx, cy, r, start_angle, end_angle; } arc_params; + struct { float_type cx, cy, rx, ry, rotation, start_angle, end_angle; } ellipse_arc_params; + // struct { float_type x1, y1, x2, y2, cx, cy; } quad_bezier_params; + // struct { float_type x1, y1, x2, y2, cx1, cy1, cx2, cy2; } cubic_bezier_params; + }; +} Segment2D; + + +typedef struct { + Segment2D *segments; + int len_segments; +} Path2D; + + +/* Line segment functions */ +void line_segment_from_start_end(float_type x0, float_type y0, float_type x1, float_type y1, Segment2D *out); +void line_segment_from_start_length(float_type x0, float_type y0, float_type dx, float_type dy, float_type length, Segment2D *out); +float_type line_segment_get_length(const Segment2D *seg); +void line_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points); + +/* Arc segment functions */ +void arc_segment_from_center_radius_angles(float_type cx, float_type cy, float_type r, float_type start_angle, float_type end_angle, Segment2D *out); +void arc_segment_from_ref_length_angle(float_type x0, float_type y0, float_type dx, float_type dy, float_type length, float_type angle, Segment2D *out); +void arc_segment_get_ref_at_length(const Segment2D *seg, float_type at, float_type *out_x, float_type *out_y, float_type *out_dx, float_type *out_dy); +float_type arc_segment_get_length(const Segment2D *seg); +void arc_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points); + +/* Ellipse arc segment functions */ +void ellipse_arc_segment_from_center_radii_rotation_angles(float_type cx, float_type cy, float_type rx, float_type ry, float_type rotation, float_type start_angle, float_type end_angle, Segment2D *out); +void maybe_ellipse_arc_segment_from_center_radii_rotation_angles(float_type cx, float_type cy, float_type rx, float_type ry, float_type rotation, float_type start_angle, float_type end_angle, Segment2D *out); +float_type ellipse_segment_get_length(const Segment2D *seg); +void ellipse_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points); + +/* Segment functions */ +float_type segment2d_get_length(const Segment2D *seg); + +/* Segments from shapes */ +void segments_from_rectangle(float_type halfwidth, float_type halfheight, Segment2D *out_segments); +void segments_from_circle(float_type radius, Segment2D *out_segments); +void segments_from_ellipse(float_type rx, float_type ry, Segment2D *out_segments); +void segments_from_rectellipse(float_type halfwidth, float_type halfheight, float_type rx, float_type ry, Segment2D *out_segments, int *len_segments); +void segments_from_racetrack(float_type halfhside, float_type halfvside, float_type rx, float_type ry, Segment2D *out_segments, int *out_len); +void segments_from_octagon(float_type halfwidth, float_type halfheight, float_type halfdgap, Segment2D *out_segments, int *out_len); + +/* Path functions */ +int path_get_len_steps(const Path2D *path, float_type ds_min); +float_type path_get_length(const Path2D *path); +void path_get_steps(const Path2D *path, float_type ds_min, float_type *out_steps); +void path_get_points_at_steps(const Path2D *path, const float_type *steps, int len_points, Point2D *out_points); +int path_get_len_points(const Path2D *path); +void path_get_points(const Path2D *path, Point2D *out_points); +int path_get_len_corners(const Path2D *path); +void path_get_corner_steps(const Path2D *path, float_type *out_steps); +void poly_get_n_uniform_points(const Path2D *path, int n_points, Point2D *out_points); + + +/* ===== Line segment functions ===== */ +void line_segment_from_start_end(float_type x0, float_type y0, float_type x1, float_type y1, Segment2D *out) +/* Get line data from starting and ending points + +*/ +{ + out->line_params.x0 = x0; + out->line_params.y0 = y0; + out->line_params.x1 = x1; + out->line_params.y1 = y1; + out->type = LINE_SEGMENT_TYPE; +} + +void line_segment_from_start_length(float_type x0, float_type y0, float_type dx, float_type dy, float_type length, Segment2D *out) +/* Get line data from starting point, direction (assuming dx,dy have norm=1) and length + +*/ +{ + float_type ux = dx; + float_type uy = dy; + out->line_params.x0 = x0; + out->line_params.y0 = y0; + out->line_params.x1 = x0 + ux * length; + out->line_params.y1 = y0 + uy * length; + out->type = LINE_SEGMENT_TYPE; +} + +float_type line_segment_get_length(const Segment2D *seg) +/* Get length of a line segment */ +{ + float_type x1 = seg->line_params.x0; + float_type y1 = seg->line_params.y0; + float_type x2 = seg->line_params.x1; + float_type y2 = seg->line_params.y1; + return hypot(x2 - x1, y2 - y1); +} + +void line_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points) +/* Get points along a line segment at specified steps + +Contract: len_points=len(steps); len(out_points)=len_points +*/ +{ + float_type x1 = seg->line_params.x0; + float_type y1 = seg->line_params.y0; + float_type x2 = seg->line_params.x1; + float_type y2 = seg->line_params.y1; + float_type line_length = hypot(x2 - x1, y2 - y1); + + if (line_length <= APER_PRECISION) + { + for (int i = 0; i < len_points; i++) + { + out_points[i].x = x1; + out_points[i].y = y1; + } + return; + } + + float_type ux = (x2 - x1) / line_length; + float_type uy = (y2 - y1) / line_length; + + for (int i = 0; i < len_points; i++) + { + float_type at = steps[i]; + out_points[i].x = x1 + ux * at; + out_points[i].y = y1 + uy * at; + } +} + +/* ===== End line segment functions ===== */ + +/* ===== Arc segment functions ===== */ + +void arc_segment_from_center_radius_angles(float_type cx, float_type cy, float_type r, float_type start_angle, float_type end_angle, Segment2D *out) +/* Get arc data from center, radius and start/end angles + +*/ +{ + out->arc_params.cx = cx; + out->arc_params.cy = cy; + out->arc_params.r = r; + out->arc_params.start_angle = start_angle; + out->arc_params.end_angle = end_angle; + out->type = ARC_SEGMENT_TYPE; +} + +void arc_segment_from_ref_length_angle(float_type x0, float_type y0, float_type dx, float_type dy, float_type length, float_type angle, Segment2D *out) +/* Get arc data from starting point, direction (assuming dx,dy have norm=1), length and angle + +*/ +{ + float_type norm = hypot(dx, dy); + if (angle == 0.0) + { + line_segment_from_start_length(x0, y0, dx, dy, length, out); + return; + } + + float_type r = length / fabs(angle); + float_type cx = x0 - dy * r / norm; + float_type cy = y0 + dx * r / norm; + float_type start_angle = atan2(y0 - cy, x0 - cx); + float_type end_angle = start_angle + angle; + out->arc_params.cx = cx; + out->arc_params.cy = cy; + out->arc_params.r = r; + out->arc_params.start_angle = start_angle; + out->arc_params.end_angle = end_angle; + out->type = ARC_SEGMENT_TYPE; + return; +} + +void arc_segment_get_ref_at_length(const Segment2D *seg, float_type at, float_type *out_x, float_type *out_y, float_type *out_dx, float_type *out_dy) +/* Get point and direction at length 'at' along an arc segment */ +{ + /* arc */ + float_type cx = seg->arc_params.cx; + float_type cy = seg->arc_params.cy; + float_type r = seg->arc_params.r; + float_type start_angle = seg->arc_params.start_angle; + float_type end_angle = seg->arc_params.end_angle; + float_type total_angle = end_angle - start_angle; + float_type arc_length = fabs(total_angle) * r; + + if (arc_length <= APER_PRECISION) + { + *out_x = cx + r * cos(start_angle); + *out_y = cy + r * sin(start_angle); + *out_dx = -sin(start_angle); + *out_dy = cos(start_angle); + return; + } + + float_type angle_at = start_angle + (at / arc_length) * total_angle; + *out_x = cx + r * cos(angle_at); + *out_y = cy + r * sin(angle_at); + *out_dx = -sin(angle_at); + *out_dy = cos(angle_at); +} + +float_type arc_segment_get_length(const Segment2D *seg) +/* Get length of an arc segment */ +{ + float_type r = seg->arc_params.r; + float_type start_angle = seg->arc_params.start_angle; + float_type end_angle = seg->arc_params.end_angle; + float_type total_angle = end_angle - start_angle; + return fabs(total_angle) * r; +} + +void arc_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points) +/* Get points along an arc segment at specified steps + +Contract: len_points=len(steps); len(out_points)=len_points +*/ +{ + float_type cx = seg->arc_params.cx; + float_type cy = seg->arc_params.cy; + float_type r = seg->arc_params.r; + float_type start_angle = seg->arc_params.start_angle; + float_type end_angle = seg->arc_params.end_angle; + float_type total_angle = end_angle - start_angle; + float_type arc_length = fabs(total_angle) * r; + + if (arc_length <= APER_PRECISION) + { + const float_type x0 = cx + r * cos(start_angle); + const float_type y0 = cy + r * sin(start_angle); + for (int i = 0; i < len_points; i++) + { + out_points[i].x = x0; + out_points[i].y = y0; + } + return; + } + + for (int i = 0; i < len_points; i++) + { + float_type at = steps[i]; + float_type angle_at = start_angle + (at / arc_length) * total_angle; + out_points[i].x = cx + r * cos(angle_at); + out_points[i].y = cy + r * sin(angle_at); + } +} + +/* ===== End arc segment functions ===== */ + +/* ===== Ellipse arc segment functions ===== */ + +void ellipse_arc_segment_from_center_radii_rotation_angles(float_type cx, float_type cy, float_type rx, float_type ry, float_type rotation, float_type start_angle, float_type end_angle, Segment2D *out) +{ + out->ellipse_arc_params.cx = cx; + out->ellipse_arc_params.cy = cy; + out->ellipse_arc_params.rx = rx; + out->ellipse_arc_params.ry = ry; + out->ellipse_arc_params.rotation = rotation; + out->ellipse_arc_params.start_angle = start_angle; + out->ellipse_arc_params.end_angle = end_angle; + out->type = ELLIPSE_ARC_SEGMENT_TYPE; +} + +void maybe_ellipse_arc_segment_from_center_radii_rotation_angles(float_type cx, float_type cy, float_type rx, float_type ry, float_type rotation, float_type start_angle, float_type end_angle, Segment2D *out) +{ + if (rx == ry) + { + float_type r = rx; + arc_segment_from_center_radius_angles(cx, cy, r, start_angle, end_angle, out); + return; + } + ellipse_arc_segment_from_center_radii_rotation_angles(cx, cy, rx, ry, rotation, start_angle, end_angle, out); +} + +static float_type ellipse_cumulative_length(float_type angle, float_type rx, float_type ry) +/* Cumulative length of ellipse from 0 to angle */ +{ + if (rx <= 0.0 || ry <= 0.0) + return 0.0; + if (rx == ry) + return rx * fabs(angle); + + if (rx >= ry) + { + float_type k = sqrt(1.0 - (ry * ry) / (rx * rx)); + float_type complete_E = elliptic_E_complete(k); + return rx * (complete_E - elliptic_E(0.5 * M_PI - angle, k)); + } + + float_type k = sqrt(1.0 - (rx * rx) / (ry * ry)); + return ry * elliptic_E(angle, k); +} + +static float_type ellipse_arc_length_between(float_type start, float_type end, float_type rx, float_type ry) +/* Arc length of ellipse between start and end angles */ +{ + return fabs(ellipse_cumulative_length(end, rx, ry) - ellipse_cumulative_length(start, rx, ry)); +} + +static float_type ellipse_angle_at_length(float_type start, float_type end, float_type rx, float_type ry, float_type target) +/* Find ellipse parameter angle at a given arc length from start towards end */ +{ + if (rx <= 0.0 || ry <= 0.0) + return start; + float_type total_len = ellipse_arc_length_between(start, end, rx, ry); + if (total_len == 0.0) + return start; + if (target <= 0.0) + return start; + if (target >= total_len) + return end; + + float_type dir = (end >= start) ? 1.0 : -1.0; + float_type theta_low = 0.0; + float_type theta_high = fabs(end - start); + + if (rx == ry) + return start + dir * (target / rx); + + for (int i = 0; i < 60; i++) + { + float_type theta_mid = 0.5 * (theta_low + theta_high); + float_type angle_mid = start + dir * theta_mid; + float_type len_mid = ellipse_arc_length_between(start, angle_mid, rx, ry); + if (len_mid < target) + theta_low = theta_mid; + else + theta_high = theta_mid; + } + float_type theta_mid = 0.5 * (theta_low + theta_high); + return start + dir * theta_mid; +} + +float_type ellipse_segment_get_length(const Segment2D *seg) +/* Get length of an ellipse arc segment */ +{ + float_type rx = seg->ellipse_arc_params.rx; + float_type ry = seg->ellipse_arc_params.ry; + float_type start_angle = seg->ellipse_arc_params.start_angle; + float_type end_angle = seg->ellipse_arc_params.end_angle; + return ellipse_arc_length_between(start_angle, end_angle, rx, ry); +} + +void ellipse_segment_get_points_at_steps(const Segment2D *seg, const float_type *steps, int len_points, Point2D *out_points) +/* Get points along an ellipse arc segment at specified steps + +Contract: len(steps)=len_points; len(out_points)=len_points +*/ +{ + float_type cx = seg->ellipse_arc_params.cx; + float_type cy = seg->ellipse_arc_params.cy; + float_type rx = seg->ellipse_arc_params.rx; + float_type ry = seg->ellipse_arc_params.ry; + float_type rotation = seg->ellipse_arc_params.rotation; + float_type start_angle = seg->ellipse_arc_params.start_angle; + float_type end_angle = seg->ellipse_arc_params.end_angle; + + float_type cos_rot = cos(rotation); + float_type sin_rot = sin(rotation); + + for (int i = 0; i < len_points; i++) + { + float_type at = steps[i]; + float_type angle_at = ellipse_angle_at_length(start_angle, end_angle, rx, ry, at); + float_type x_ellipse = rx * cos(angle_at); + float_type y_ellipse = ry * sin(angle_at); + // Apply rotation + out_points[i].x = cx + (x_ellipse * cos_rot - y_ellipse * sin_rot); + out_points[i].y = cy + (x_ellipse * sin_rot + y_ellipse * cos_rot); + } +} + +/* ===== End ellipse arc segment functions ===== */ + +/* ===== Racetrack segment functions ===== */ +void segments_from_racetrack(float_type halfwidth, float_type halfheight, float_type rx, float_type ry, Segment2D *out_segments, int *out_len) +/* Create a path for a racetrack shape centered at (0,0) + +Contract: len(out_segments)=8; postlen(out_segments)=out_len +*/ +{ + if (rx <= 0.0 || ry <= 0.0) + { // Just a rectangle + segments_from_rectangle(halfwidth, halfheight, out_segments); + *out_len = 4; + return; + } + + if (rx == halfwidth && ry == halfheight) + { + // Just an ellipse + segments_from_ellipse(rx, ry, out_segments); + *out_len = 1; + return; + } + + if (rx == halfwidth) + { + // Just vertical capsule flat side sides + line_segment_from_start_end(halfwidth, -halfheight + ry, halfwidth, halfheight - ry, &out_segments[0]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0, halfheight - ry, rx, ry, 0.0, 0, M_PI , &out_segments[1]); + line_segment_from_start_end(-halfwidth, halfheight - ry, -halfwidth, -halfheight + ry, &out_segments[2]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0, -halfheight + ry, rx, ry, 0.0, M_PI, 2.0 * M_PI, &out_segments[3]); + *out_len = 4; + return; + } + + if (ry == halfheight) + { + // Just horizontal capsule flat top sides + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(halfwidth - rx, 0, rx, ry, 0.0, -M_PI / 2.0, M_PI / 2.0, &out_segments[0]); + line_segment_from_start_end(halfwidth - rx, halfheight, -halfwidth + rx, halfheight, &out_segments[1]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(-halfwidth + rx, 0, rx, ry, 0.0, M_PI / 2.0, 3.0 * M_PI / 2.0, &out_segments[2]); + line_segment_from_start_end(-halfwidth + rx, -halfheight, halfwidth - rx, -halfheight, &out_segments[3]); + *out_len = 4; + return; + } + + // 8 corners + line_segment_from_start_end(halfwidth, -halfheight + ry, halfwidth, halfheight - ry, &out_segments[0]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(halfwidth - rx, halfheight - ry, rx, ry, 0.0, 0, M_PI_2, &out_segments[1]); + line_segment_from_start_end(halfwidth - rx, halfheight, -halfwidth + rx, halfheight, &out_segments[2]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(-halfwidth + rx, halfheight - ry, rx, ry, 0.0, M_PI_2, M_PI, &out_segments[3]); + line_segment_from_start_end(-halfwidth, halfheight - ry, -halfwidth, -halfheight + ry, &out_segments[4]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(-halfwidth + rx, -halfheight + ry, rx, ry, 0.0, M_PI, 3.0 * M_PI_2, &out_segments[5]); + line_segment_from_start_end(-halfwidth + rx, -halfheight, halfwidth - rx, -halfheight, &out_segments[6]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(halfwidth - rx, -halfheight + ry, rx, ry, 0.0, 3.0 * M_PI_2, M_2PI, &out_segments[7]); + *out_len=8; + +} +/* ===== End racetrack segment functions ===== */ + +void segments_from_octagon(float_type halfwidth, float_type halfheight, float_type halfdgap, Segment2D *out_segments, int *out_len) +/* Create an octagon defined by halfwidth, halfheight, and half 45 degrees gap + +Contract: len(out_segments)=8; postlen(out_segments)=out_len +*/ +{ + // Intersect of a line at 45 degrees with a minimum distance halfdgap from the cernter with the rectangle + // y= halfdgap*sqrt(2)-x or x = halfdgap*sqrt(2) - y + float_type dx = halfdgap * sqrt(2.0) - halfheight; + float_type dy = halfdgap * sqrt(2.0) - halfwidth; + if (dx < 0.0 || dy < 0.0) { + // Invalid parameters + *out_len = 0; + return; + } + + line_segment_from_start_end(halfwidth, -dy, halfwidth, dy, &out_segments[0]); + line_segment_from_start_end(halfwidth, dy, dx, halfheight, &out_segments[1]); + line_segment_from_start_end(dx, halfheight, -dx, halfheight, &out_segments[2]); + line_segment_from_start_end(-dx, halfheight, -halfwidth, dy, &out_segments[3]); + line_segment_from_start_end(-halfwidth, dy, -halfwidth, -dy, &out_segments[4]); + line_segment_from_start_end(-halfwidth, -dy, -dx, -halfheight, &out_segments[5]); + line_segment_from_start_end(-dx, -halfheight, dx, -halfheight, &out_segments[6]); + line_segment_from_start_end(dx, -halfheight, halfwidth, -dy, &out_segments[7]); + *out_len = 8; + +} + +/* ===== End octagon segment functions ===== */ + +/* ===== Segment functions ===== */ + +float_type segment2d_get_length(const Segment2D *seg) +/* Get length of a segment */ +{ + switch (seg->type) + { + case LINE_SEGMENT_TYPE: + return line_segment_get_length(seg); + case ARC_SEGMENT_TYPE: + return arc_segment_get_length(seg); + case ELLIPSE_ARC_SEGMENT_TYPE: + return ellipse_segment_get_length(seg); + default: + return 0.0; + } +} + +/* ===== End segment functions ===== */ + +/* ===== Segments from shapes ===== */ + +void segments_from_rectangle(float_type halfwidth, float_type halfheight, Segment2D *out_segments) +/* Create a path for a rectangle centered at (0,0) + +Contract: len(out_segments)=4 +*/ +{ + line_segment_from_start_end(-halfwidth, -halfheight, halfwidth, -halfheight, &out_segments[0]); + line_segment_from_start_end(halfwidth, -halfheight, halfwidth, halfheight, &out_segments[1]); + line_segment_from_start_end(halfwidth, halfheight, -halfwidth, halfheight, &out_segments[2]); + line_segment_from_start_end(-halfwidth, halfheight, -halfwidth, -halfheight, &out_segments[3]); +} + +void segments_from_circle(float_type r, Segment2D *out_segments) +/* Create a path for a circle centered at (0,0) + +Contract: len(out_segments)=1 +*/ +{ + arc_segment_from_center_radius_angles(0.0, 0.0, r, 0.0, 2.0 * M_PI, &out_segments[0]); +} + +void segments_from_ellipse(float_type rx, float_type ry, Segment2D *out_segments) +/* Create a path for an ellipse centered at (0,0) + +Contract: len(out_segments)=1 +*/ +{ + if (rx == ry) + { + segments_from_circle(rx, out_segments); + return; + } + ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, 0.0, 2.0 * M_PI, &out_segments[0]); +} + +void segments_from_rectellipse(float_type halfwidth, float_type halfheight, float_type rx, float_type ry, Segment2D *out_segments, int *out_len) +/* Create a path for the intersection between a rectangle and an ellipse + +Contract: len(out_segments)=8; postlen(out_segments)=out_len +*/ +{ + float_type arg1 = halfwidth / rx; + float_type arg2 = halfheight / ry; + + if (arg1 > 1.0) + arg1 = 1.0; + if (arg2 > 1.0) + arg2 = 1.0; + + if (arg1 == 1.0 && arg2 == 1.0) + { + // printf("ellipse inside rectangle\n"); + segments_from_ellipse(rx, ry, out_segments); + *out_len = 1; + return; + } + + float_type angle1 = acos(halfwidth / rx); + float_type angle2 = asin(halfheight / ry); + // printf("angle1=%f angle2=%f\n",angle1,angle2); + + if (angle2 < angle1) + { + // printf("rectangle inside ellipse\n"); + segments_from_rectangle(halfwidth, halfheight, out_segments); + *out_len = 4; + return; + } + + float_type iy = ry * sin(angle1); + float_type ix = rx * cos(angle2); + + if (arg1 < 1 && arg2 < 1) + { // printf("8 segments\n"); + line_segment_from_start_end(halfwidth, -iy, halfwidth, iy, &out_segments[0]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, angle1, angle2, &out_segments[1]); + line_segment_from_start_end(ix, halfheight, -ix, halfheight, &out_segments[2]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, M_PI - angle2, M_PI - angle1, &out_segments[3]); + line_segment_from_start_end(-halfwidth, iy, -halfwidth, -iy, &out_segments[4]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, M_PI + angle1, M_PI + angle2, &out_segments[5]); + line_segment_from_start_end(-ix, -halfheight, ix, -halfheight, &out_segments[6]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, M_2PI - angle2, M_2PI - angle1, &out_segments[7]); + *out_len = 8; + return; + } + if (arg1 < 1) + { // printf("flat sides\n"); + line_segment_from_start_end(halfwidth, -iy, halfwidth, iy, &out_segments[0]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, angle1, M_PI - angle1, &out_segments[1]); + line_segment_from_start_end(-halfwidth, iy, -halfwidth, -iy, &out_segments[2]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, M_PI + angle1, M_2PI - angle1, &out_segments[3]); + *out_len = 4; + return; + } + if (arg2 < 1) + { // printf("flat top/bottom\n"); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, -angle2, angle2, &out_segments[0]); + line_segment_from_start_end(ix, halfheight, -ix, halfheight, &out_segments[1]); + maybe_ellipse_arc_segment_from_center_radii_rotation_angles(0.0, 0.0, rx, ry, 0.0, M_PI - angle2, M_PI + angle2, &out_segments[2]); + line_segment_from_start_end(-ix, -halfheight, ix, -halfheight, &out_segments[3]); + *out_len = 4; + return; + } +} + +/* ===== End segments from shapes ===== */ + +/* ===== Path functions ===== */ + +int path_get_len_steps(const Path2D *path, float_type ds_min) +{ + /* Get the number of steps needed to represent a path defined by segments + + Contract: len_segments=len(segments) + */ + int total_steps = 1; + int nsteps; + for (int i = 0; i < path->len_segments; i++) + { + switch (path->segments[i].type) + { + case 0: /* line */ + total_steps += ceil(line_segment_get_length(&path->segments[i]) / ds_min); + break; + case 1: /* arc */ + nsteps = ceil(arc_segment_get_length(&path->segments[i]) / ds_min); + total_steps += nsteps > 10 ? nsteps : 10; + break; + case 2: /* ellipse arc */ + nsteps = ceil(ellipse_segment_get_length(&path->segments[i]) / ds_min); + total_steps += nsteps > 10 ? nsteps : 10; + break; + default: + break; + } + } + return total_steps; +} + +float_type path_get_length(const Path2D *path) +{ + /* Get length of a path defined by segments + + Contract: len_segments=len(segments) + */ + float_type total_length = 0.0; + for (int i = 0; i < path->len_segments; i++) + { + total_length += segment2d_get_length(&path->segments[i]); + } + return total_length; +} + +void path_get_steps(const Path2D *path, float_type ds_min, float_type *out_steps) +{ + /* Get steps along a path defined by segments + + Contract: len_segments=len(segments); len(out_steps)=path_get_len_steps(segments,len_segments,ds_min) + */ + int idx = 0; + out_steps[idx++] = 0.0; + float_type seg_length; + float_type nsteps_d; + int nsteps; + float_type ds; + float_type length_acc = 0.0; + + for (int i = 0; i < path->len_segments; i++) + { + float_type seg_start = length_acc; + switch (path->segments[i].type) + { + case 0: /* line */ + seg_length = line_segment_get_length(&path->segments[i]); + nsteps_d = seg_length / ds_min; + nsteps = (int)ceil(nsteps_d); + ds = seg_length / nsteps; + for (int j = 1; j <= nsteps; j++) + { + if (j == nsteps) + length_acc = seg_start + seg_length; + else + length_acc += ds; + out_steps[idx++] = length_acc; + } + break; + case 1: /* arc */ + seg_length = arc_segment_get_length(&path->segments[i]); + nsteps_d = seg_length / ds_min; + nsteps = (int)ceil(nsteps_d); + if (nsteps < 10) + nsteps = 10; + ds = seg_length / nsteps; + for (int j = 1; j <= nsteps; j++) + { + if (j == nsteps) + length_acc = seg_start + seg_length; + else + length_acc += ds; + out_steps[idx++] = length_acc; + } + break; + case 2: /* ellipse arc */ + seg_length = ellipse_segment_get_length(&path->segments[i]); + nsteps_d = seg_length / ds_min; + nsteps = (int)ceil(nsteps_d); + if (nsteps < 10) + nsteps = 10; + ds = seg_length / nsteps; + for (int j = 1; j <= nsteps; j++) + { + if (j == nsteps) + length_acc = seg_start + seg_length; + else + length_acc += ds; + out_steps[idx++] = length_acc; + } + break; + default: + break; + } + }; // Ensure last step is exact length +} + +void path_get_points_at_steps(const Path2D *path, const float_type *steps, int len_points, Point2D *out_points) +/* Get points along a path defined by segments at specified steps + +Contract: len_points=len(steps); len(out_points)=len_points +*/ +{ + int i = 0; + float_type seg_start_length = 0.0; + float_type seg_end_length = 0.0; + float_type seg_length; + + for (int seg_idx = 0; seg_idx < path->len_segments; seg_idx++) + { + const Segment2D* segment = &path->segments[seg_idx]; + seg_length = segment2d_get_length(segment); + seg_end_length = seg_start_length + seg_length; + + while (i < len_points && steps[i] <= seg_end_length) + { + float_type at = steps[i] - seg_start_length; + switch (path->segments[seg_idx].type) + { + case 0: /* line */ + line_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + case 1: /* arc */ + arc_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + case 2: /* ellipse arc */ + ellipse_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + default: + break; + } + i++; + } + seg_start_length = seg_end_length; + } +} + +int path_get_len_points(const Path2D *path) +/*Return the number of points needed for a good representation of the path + +*/ +{ + int total_points = 1; + for (int i = 0; i < path->len_segments; i++) + { + if (path->segments[i].type == 0) + { + total_points += 1; + } + else if (path->segments[i].type == 1 || path->segments[i].type == 2) + { + total_points += POINTS_PER_ARC; + } + } + return total_points; +} + +void path_get_points(const Path2D *path, Point2D *out_points) +/* Get points along a path defined by segments for a good representation of the path + +Contract: len(out_points)=path_get_len_points(path) +*/ +{ + int idx = 0; + const float_type steps[] = {0.0}; + switch (path->segments[0].type) { + case 0: /* line segment */ + line_segment_get_points_at_steps(&path->segments[0], steps, 1, &out_points[idx]); + break; + case 1: /* arc segment */ + arc_segment_get_points_at_steps(&path->segments[0], steps, 1, &out_points[idx]); + break; + case 2: /* ellipse arc */ + ellipse_segment_get_points_at_steps(&path->segments[0], steps, 1, &out_points[idx]); + break; + } + idx++; + + for (int i = 0; i < path->len_segments; i++) + { + if (path->segments[i].type == 0) + { + const float_type seg_length = line_segment_get_length(&path->segments[i]); + const float_type steps[] = {seg_length}; + line_segment_get_points_at_steps(&path->segments[i], steps, 1, &out_points[idx]); + idx += 1; + } + else if (path->segments[i].type == 1) + { + float_type seg_length = arc_segment_get_length(&path->segments[i]); + float_type ds = seg_length / POINTS_PER_ARC; + float_type steps[POINTS_PER_ARC]; + for (int j = 1; j <= POINTS_PER_ARC; j++) + { + steps[j - 1] = j * ds; + } + arc_segment_get_points_at_steps(&path->segments[i], steps, POINTS_PER_ARC, &out_points[idx]); + idx += POINTS_PER_ARC; + } + else if (path->segments[i].type == 2) + { + float_type seg_length = ellipse_segment_get_length(&path->segments[i]); + float_type ds = seg_length / POINTS_PER_ARC; + float_type steps[POINTS_PER_ARC]; + for (int j = 1; j <= POINTS_PER_ARC; j++) + { + steps[j - 1] = j * ds; + } + ellipse_segment_get_points_at_steps(&path->segments[i], steps, POINTS_PER_ARC, &out_points[idx]); + idx += POINTS_PER_ARC; + } + } +} + +int path_get_len_corners(const Path2D *path) +{ + /*Return number of corners in path + + */ + return path->len_segments + 1; +} + +void path_get_corner_steps(const Path2D *path, float_type *out_steps) +{ + /*Get steps at corners of path + + Contract: len(out_steps)=path_get_len_corners(path) + */ + float_type length_acc = 0.0; + out_steps[0] = 0.0; + for (int i = 0; i < path->len_segments; i++) + { + length_acc += segment2d_get_length(&path->segments[i]); + out_steps[i + 1] = length_acc; + } +} + +void poly_get_n_uniform_points(const Path2D *path, int n_points, Point2D *out_points) +{ + float_type total_length = path_get_length(path); + float_type ds = total_length / (n_points - 1); + + int i = 0; + float_type seg_start_length = 0.0; + float_type seg_end_length = 0.0; + float_type seg_length; + + for (int seg_idx = 0; seg_idx < path->len_segments; seg_idx++) + { + const Segment2D* segment = &path->segments[seg_idx]; + seg_length = segment2d_get_length(segment); + seg_end_length = seg_start_length + seg_length; + float_type at_absolute; + + while (i < n_points - 1 && (at_absolute = i * ds) <= seg_end_length) + { + float_type at = at_absolute - seg_start_length; + switch (path->segments[seg_idx].type) + { + case LINE_SEGMENT_TYPE: + line_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + case ARC_SEGMENT_TYPE: + arc_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + case ELLIPSE_ARC_SEGMENT_TYPE: + ellipse_segment_get_points_at_steps(segment, &at, 1, &out_points[i]); + break; + default: + break; + } + i++; + } + seg_start_length = seg_end_length; + } + + // Close the polygon explicitly: avoids numerical issues on computing the last point, such as overshooting. + // Also, if the start and end points are slightly different it can knock off the point-in-poly test. + out_points[n_points - 1] = out_points[0]; +} + +#endif /* APERTURE_PATH_H */ diff --git a/xtrack/aperture/headers/polygon_algs.h b/xtrack/aperture/headers/polygon_algs.h new file mode 100644 index 000000000..d0643b4b7 --- /dev/null +++ b/xtrack/aperture/headers/polygon_algs.h @@ -0,0 +1,300 @@ +#ifndef POLYGON_ALGS +#define POLYGON_ALGS + +#include +#include + +#include "xobjects/headers/common.h" +#include "base.h" +#include "path.h" + + +typedef struct { + float_type h; + float_type v; + float_type a; + float_type b; +} Racetrack_s; + + +typedef struct { + float_type dist; + int vertex_idx; +} RayHit_s; + + +static inline Racetrack_s add_racetracks(Racetrack_s rt1, Racetrack_s rt2) +/* Minkowski sum of two racetracks */ +{ + return (Racetrack_s){ + .h = rt1.h + rt2.h, + .v = rt1.v + rt2.v, + .a = rt1.a + rt2.a, + .b = rt1.b + rt2.b, + }; +} + + +static inline Racetrack_s scale_racetrack(Racetrack_s rt, float_type scale) +/* Scale a racetrack by a factor ``scale``. */ +{ + return (Racetrack_s){ + .h = rt.h * scale, + .v = rt.v * scale, + .a = rt.a * scale, + .b = rt.b * scale, + }; +} + + +float_type racetrack_radius_at_angle(float_type theta, Racetrack_s rt) +/* Compute the length of a line segment going from the center of a racetrack to its boundary at angle ``theta``. */ +{ + const float_type eps = APER_PRECISION; + const float_type h = rt.h; + const float_type v = rt.v; + const float_type a = rt.a; + const float_type b = rt.b; + + if ((h < eps && a < eps) || (v < eps && b < eps)) return 0; + + /* Reduce to first quadrant */ + const float_type sin_ = fabs(sin(theta)); + const float_type cos_ = fabs(cos(theta)); + + const float_type tan_ = sin_ / cos_; + + /* Straight sides */ + if (tan_ <= (v - b) / h) { + return h / cos_; + } + + if (tan_ >= v / (h - a)) { + return v / sin_; + } + + /* Ellipse corner: solve quadratic in radius */ + const float_type x0 = h - a; + const float_type y0 = v - b; + + const float_type a_sq = a * a; + const float_type b_sq = b * b; + + const float_type cos_sq = cos_ * cos_; + const float_type sin_sq = sin_ * sin_; + + const float_type q_a = cos_sq / a_sq + sin_sq / b_sq; + const float_type q_b = -2.f * (x0 * cos_ / a_sq + y0 * sin_ / b_sq); + const float_type q_c = (x0 * x0) / a_sq + (y0 * y0) / b_sq - 1.f; + + const float_type disc = q_b * q_b - 4.f * q_a * q_c; + const float_type sqrt_disc = sqrt(disc); + + return (sqrt_disc - q_b) / (2.f * q_a); +} + + +RayHit_s dist_to_poly_along_ray( + float_type theta, + float_type x0, + float_type y0, + const Point2D *poly, + int len_poly, + int convex, + int start_at +) +/* Find the distance from (x0, y0) to the polygon boundary along a ray going in direction theta. + + Parameters + ---------- + theta: the angle (in radians) of the ray along which to check the distance. + x0: the x coordinate of the ray origin. + y0: the y coordinate of the ray origin. + poly: the polygon, defined as a list of vertices, expected to be closed. + len_poly: number of vertices of ``poly`` + convex: a flag to be set if the ``poly`` is a convex polygon (short circuits the algorithm). + start_at the index of the vertex to start at (useful for resuming the algorithm in ``convex=True`` case). + + Returns + ------- + (RayHit_s){distance, vertex_idx} where: + - `distance` is the minimum distance from (x0, y0), + - `vertex_idx` is the index of the vertex hit by the ray. +*/ +{ + const float_type eps = APER_PRECISION; + + const Point2D ray = (Point2D){ .x = cos(theta), .y = sin(theta) }; + const Point2D xy0 = (Point2D){ .x = x0, .y = y0 }; + + float_type best = INFINITY; + int best_idx = -1; + + const int n_edges = len_poly - 1; + + for (int k = 0; k < n_edges; k++) { + /* Rotate the indices to start at ``start_at`` */ + const int i = (start_at + k) % n_edges; + + /* Translate so that (x0, y0) is origin */ + const Point2D a = point2d_sub(poly[i], xy0); + const Point2D b = point2d_sub(poly[i + 1], xy0); + + const Point2D edge = point2d_sub(b, a); + + const float_type ca = point2d_cross(a, ray); + const float_type cb = point2d_cross(b, ray); + const float_type delta = cb - ca; // == e × d (by the distributive property) + + if (fabs(delta) > eps) { + /* Since `delta` is not zero, the ray is not parallel to the edge + + We can parametrise the edge as follows, where u in [0, 1]: + f(u) = a + u * (b - a) = (1 - u) * a + u * b. We want to find the + point where the ray hits the edge-line, i.e. a value of u for which + f(u) × ray = (1 - u) * (a × ray) + u * (b × ray) = 0. Solving for + u gives us the following: + */ + const float_type u = ca / (ca - cb); + + if (u < -eps || (1 + eps) < u) { + // If `u` is outside [0, 1], the ray is parallel but does not hit the edge. + continue; + } + + const Point2D hit = (Point2D){ .x = a.x + u * edge.x, .y = a.y + u * edge.y }; + const float_type t = point2d_dot(hit, ray); // signed distance to the polygon along the ray. + + if (t >= 0 && t < best) { + best = fabs(t); + best_idx = i; + if (convex) break; + } + } else { + // Parallel case + if (fabs(ca) > eps || fabs(cb) > eps) { + // If ca or cb is nonzero, the ray is parallel to the edge but + // not collinear, so no intersection. Nothing to do here. + continue; + } + + // Collinear overlap: get signed distances to endpoints + const float_type ta = point2d_dot(a, ray); + const float_type tb = point2d_dot(b, ray); + + if (signbit(ta) != signbit(tb)) { + // Vertices of the edge are on opposite sides of the origin, so + // the origin is on the edge. Distance is zero. + best = 0.f; + best_idx = i; + break; + } + + const float_type col_best = fmin(fabs(ta), fabs(tb)); + if (col_best < best) { + best = col_best; + best_idx = i; + if (convex) break; + } + } + } + + return (RayHit_s){ .dist = best, .vertex_idx = best_idx }; +} + + +void dist_to_poly_along_rays( + const float_type *thetas, + int len_thetas, + float_type x0, + float_type y0, + const Point2D *poly, + int len_poly, + char convex, + float_type *out_dists +) +/* Find the distance from (x0, y0) to the polygon boundary along rays going in directions thetas. + + Parameters + ---------- + thetas: array of angles (in radians) at which to check the distance, expected to be sorted. + len_thetas: length of the array ``thetas``. + x0: the x coordinate of the ray origin. + y0: the y coordinate of the ray origin. + poly: the polygon, defined as a list of vertices, expected to be closed. + len_poly: number of vertices of ``poly`` + convex: is ``poly`` convex? If true the complexity is reduced from O(len_thetas * len_poly) to O(len_poly). + out_dists: array of length ``len_thetas`` to which to write corresponding distances. +*/ +{ + int start_at = 0; + + for (int j = 0; j < len_thetas; ++j) { + const float_type theta = thetas[j]; + + const RayHit_s hit = dist_to_poly_along_ray(theta, x0, y0, poly, len_poly, convex, start_at); + + out_dists[j] = hit.dist; + + if (convex && hit.vertex_idx >= 0) { + start_at = hit.vertex_idx; + } + } +} + + +void convolve_poly_and_segment( + Point2D* poly, + const int len_poly, + const Point2D d +) +/* + Given a closed, convex, and anti-clockwise polygon `poly` and a vector `d`, convolve the polygon with the line + segment `[-d, d]`. In other words, get a polygon that is the contour of both `poly - d` and `poly + d`. + + This is done by moving each vertex of the polygon either by `d` or by `-d` depending on the associated edge's + orientation relative to `d`, and in the nearly-parallel case, choosing the translation direction based on whether + the edge is pointing in the same direction as `d` or not. + + This maintains the number of point and does not resample the polygon. Should be good enough for beam envelope + construction, but not interpolation as the polygon loses the quality of being evenly sampled. Might be somewhat + inexact for polygons that are very coarse. +*/ +{ + /* Precision on cross product */ + const float_type eps = APER_PRECISION * APER_PRECISION; + + if (len_poly < 3) + return; + + Point2D a = poly[0]; + + for (int i = 0; i < len_poly - 1; i++) + { + const int j = (i + 1) % len_poly; + const Point2D b = poly[j]; + const Point2D edge = point2d_sub(b, a); + + const float_type cross = point2d_cross(d, edge); + Point2D out = a; + + if (cross > eps) + out = point2d_add(out, d); + else if (cross < -eps) + out = point2d_sub(out, d); + else + { + if (point2d_dot(edge, d) >= 0) + out = point2d_sub(out, d); + else + out = point2d_add(out, d); + } + + poly[i] = out; + a = b; + } + + poly[len_poly - 1] = poly[0]; +} + +#endif /* POLYGON_ALGS */ diff --git a/xtrack/aperture/headers/profile.h b/xtrack/aperture/headers/profile.h new file mode 100644 index 000000000..18b4978ee --- /dev/null +++ b/xtrack/aperture/headers/profile.h @@ -0,0 +1,171 @@ +#ifndef XTRACK_PROFILE_H +#define XTRACK_PROFILE_H + +#include +#include + +#include "base.h" +#include "path.h" + +void build_polygon_for_profile(float_type *const, const uint32_t, const Profile); + +static inline void build_circle_polygon(Point2D *const, const uint32_t, const Circle); +static inline void build_rectangle_polygon(Point2D *const, const uint32_t, const Rectangle); +static inline void build_ellipse_polygon(Point2D *const, const uint32_t, const Ellipse); +static inline void build_rect_ellipse_polygon(Point2D *const, const uint32_t, const RectEllipse); +static inline void build_racetrack_polygon(Point2D *const, const uint32_t, const Racetrack); +static inline void build_octagon_polygon(Point2D *const, const uint32_t, const Octagon); +static inline void build_polygon_polygon(Point2D *const, const uint32_t, const Polygon); + +static inline void build_circle_polygon(Point2D *const points, const uint32_t len_points, const Circle circle) +{ + const float_type radius = Circle_get_radius(circle); + + Segment2D segments[1]; + Path2D path = {.segments = segments, .len_segments = 1}; + segments_from_circle(radius, segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_rectangle_polygon(Point2D *const points, const uint32_t len_points, const Rectangle rectangle) +{ + const float_type half_width = Rectangle_get_half_width(rectangle); + const float_type half_height = Rectangle_get_half_height(rectangle); + + Segment2D segments[4]; + Path2D path = {.segments = segments, .len_segments = 4}; + segments_from_rectangle(half_width, half_height, segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_ellipse_polygon(Point2D *const points, const uint32_t len_points, const Ellipse ellipse) +{ + const float_type half_major = Ellipse_get_half_major(ellipse); + const float_type half_minor = Ellipse_get_half_minor(ellipse); + + Segment2D segments[1]; + Path2D path = {.segments = segments, .len_segments = 1}; + segments_from_ellipse(half_major, half_minor, segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_rect_ellipse_polygon(Point2D *const points, const uint32_t len_points, const RectEllipse rect_ellipse) +{ + const float_type half_width = RectEllipse_get_half_width(rect_ellipse); + const float_type half_height = RectEllipse_get_half_height(rect_ellipse); + const float_type half_major = RectEllipse_get_half_major(rect_ellipse); + const float_type half_minor = RectEllipse_get_half_minor(rect_ellipse); + + Segment2D segments[8]; + Path2D path = {.segments = segments, .len_segments = 8}; + segments_from_rectellipse(half_width, half_height, half_major, half_minor, segments, &path.len_segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_racetrack_polygon(Point2D *const points, const uint32_t len_points, const Racetrack racetrack) +{ + const float_type half_width = Racetrack_get_half_width(racetrack); + const float_type half_height = Racetrack_get_half_height(racetrack); + const float_type half_major = Racetrack_get_half_major(racetrack); + const float_type half_minor = Racetrack_get_half_minor(racetrack); + + Segment2D segments[8]; + Path2D path = {.segments = segments, .len_segments = 8}; + segments_from_racetrack(half_width, half_height, half_major, half_minor, segments, &path.len_segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_octagon_polygon(Point2D *const points, const uint32_t len_points, const Octagon octagon) +{ + const float_type half_width = Octagon_get_half_width(octagon); + const float_type half_height = Octagon_get_half_height(octagon); + const float_type half_diagonal = Octagon_get_half_diagonal(octagon); + + Segment2D segments[8]; + Path2D path = {.segments = segments, .len_segments = 8}; + segments_from_octagon(half_width, half_height, half_diagonal, segments, &path.len_segments); + poly_get_n_uniform_points(&path, len_points, points); +} + + +static inline void build_polygon_polygon(Point2D *const points, const uint32_t len_points, const Polygon polygon) +{ + // TODO: Not yet implemented, requires resampling the polygon + // TODO: When implemented, change the hardcoded convex=1 flags where needed +} + + +void build_polygon_for_profile( + float_type *const points, + const uint32_t len_points, + const Profile profile +) +{ + /* + Convert the logical description of a profile to a polygon, and store it in ``aperture_bounds``. + + The polygons created are expected to be: + (1) anticlockwise, and + (2) closed. + */ + const uint64_t profile_type_id = Profile_typeid_shape(profile); + + switch (profile_type_id) + { + case Shape_Circle_t: + { + const Circle circle = Profile_member_shape(profile); + build_circle_polygon((Point2D* const) points, len_points, circle); + break; + } + case Shape_Rectangle_t: + { + const Rectangle rectangle = Profile_member_shape(profile); + build_rectangle_polygon((Point2D* const) points, len_points, rectangle); + break; + } + case Shape_Ellipse_t: + { + const Ellipse ellipse = Profile_member_shape(profile); + build_ellipse_polygon((Point2D* const) points, len_points, ellipse); + break; + } + case Shape_RectEllipse_t: + { + const RectEllipse rect_ellipse = Profile_member_shape(profile); + build_rect_ellipse_polygon((Point2D* const) points, len_points, rect_ellipse); + break; + } + case Shape_Racetrack_t: + { + const Racetrack racetrack = Profile_member_shape(profile); + build_racetrack_polygon((Point2D* const) points, len_points, racetrack); + break; + } + case Shape_Octagon_t: + { + const Octagon octagon = Profile_member_shape(profile); + build_octagon_polygon((Point2D* const) points, len_points, octagon); + break; + } + case Shape_Polygon_t: + { + const Polygon polygon = Profile_member_shape(profile); + build_polygon_polygon((Point2D* const) points, len_points, polygon); + break; + } + case Shape_SVGShape_t: + { + const SVGShape svg_shape = Profile_member_shape(profile); + // TODO: Implement + break; + } + } +} + +#endif /* XTRACK_PROFILE_H */ diff --git a/xtrack/aperture/headers/segment3d.h b/xtrack/aperture/headers/segment3d.h new file mode 100644 index 000000000..e775c97e6 --- /dev/null +++ b/xtrack/aperture/headers/segment3d.h @@ -0,0 +1,466 @@ +#ifndef XT_APERTURE_SEGMENT3D_H +#define XT_APERTURE_SEGMENT3D_H + +#include "base.h" + +typedef struct { + Point3D start; + Point3D end; +} LineSegment3D; + + +typedef struct { + Pose start; + float_type length; + float_type curvature; + float_type roll; +} ArcSegment3D; + + +typedef enum { + SEGMENT3D_LINE, + SEGMENT3D_ARC, +} Segment3DType; + + +typedef struct { + Segment3DType type; + union { + LineSegment3D line; + ArcSegment3D arc; + }; +} Segment3D; + + +float_type segment_get_squared_length(LineSegment3D segment) { + const float_type dx = segment.end.x - segment.start.x; + const float_type dy = segment.end.y - segment.start.y; + const float_type dz = segment.end.z - segment.start.z; + return dx * dx + dy * dy + dz * dz; +} + + +float_type segment_get_length(LineSegment3D segment) { + const float_type dx = segment.end.x - segment.start.x; + const float_type dy = segment.end.y - segment.start.y; + const float_type dz = segment.end.z - segment.start.z; + return hypot(hypot(dx, dy), dz); +} + + +float_type segment3d_get_length(Segment3D segment) { + switch (segment.type) { + case SEGMENT3D_LINE: + return segment_get_length(segment.line); + case SEGMENT3D_ARC: + return segment.arc.length; + } +} + + +inline Point3D line_segment_point_at(const LineSegment3D segment, const float_type frac_length) +{ + const Point3D direction = point3d_sub(segment.end, segment.start); + return point3d_add_scaled(segment.start, direction, frac_length); +} + + +inline Point3D arc_segment_point_at(const ArcSegment3D segment, const float_type frac_length) +{ + const float_type length = frac_length * segment.length; + const float_type curvature = segment.curvature; + const float_type roll = segment.roll; + + float_type dx, ds; + if (fabs(curvature) < APER_PRECISION) { + dx = 0.f; + ds = length; + } else { + const float_type angle = curvature * length; + dx = (cos(angle) - 1) / curvature; + ds = sin(angle) / curvature; + } + + const float_type c_roll = cos(roll); + const float_type s_roll = sin(roll); + const Point3D local = (Point3D){ + .x = c_roll * dx, + .y = s_roll * dx, + .z = ds, + }; + + return pose_apply_point(segment.start, local); +} + + +inline Point3D segment_point_at(const Segment3D segment, const float_type frac_length) +{ + switch (segment.type) { + case SEGMENT3D_LINE: + return line_segment_point_at(segment.line, frac_length); + case SEGMENT3D_ARC: + return arc_segment_point_at(segment.arc, frac_length); + } +} + + +inline Point3D plane_initial_point(const Pose plane) +/* + Given a pose defining a plane (z = 0 in the local `plane` frame), return + its initial point. +*/ +{ + return (Point3D) { + .x = plane.mat[0][3], + .y = plane.mat[1][3], + .z = plane.mat[2][3] + }; +} + + +inline Point3D plane_normal_vector(const Pose plane) +/* + Given a pose defining a plane (z = 0 in the local `plane` frame), return + its normal point. +*/ +{ + return (Point3D) { + .x = plane.mat[0][2], + .y = plane.mat[1][2], + .z = plane.mat[2][2] + }; +} + + +float_type line_segment_plane_intersect(LineSegment3D segment, const Point3D plane_point, const Point3D normal) +/* + Return a parameter `t` such that `segment.start + t * (segment.end - segment.start)` is the + point on the segment at which the plane` intersects the `segment`. +*/ +{ + const float_type eps = APER_PRECISION; + + // Let A := segment.start, T := plane_point, compute A - T + const Point3D ta = point3d_sub(segment.start, plane_point); + + // Let B := segment.end, T := plane_point, compute B - T + const Point3D tb = point3d_sub(segment.end, plane_point); + + /* + The equation P(t) = A + t * (B - A), t \in [0, 1], defines the line segment, while + n * (X - T) = 0 defines the plane, where n := normal. + + Substituting P(t) in the latter gives n * (A + t * (B - A) - T) = 0, and after rearranging + n * (A - T) + tn * (B - A) = 0 and then t = - (n * (A - T)) / (n * (B - A)). + */ + + const float_type n_dot_ta = point3d_dot(normal, ta); /* n * (A - T) */ + const float_type n_dot_tb = point3d_dot(normal, tb); /* n * (B - T) */ + + /* Handle the degenerate case: if the line segment has no length, only check if point is on the plane */ + const float_type length_sq = segment_get_squared_length(segment); + + if (length_sq < eps * eps) { + /* + TA is the vector from the "origin" of the normal n to A. + If the vectors are orthogonal, A is on the plane described by T and n. + */ + if (fabs(n_dot_ta) < eps) return 0; + else return NAN; + } + + const float_type n_dot_ab = (n_dot_tb - n_dot_ta); /* n * (B - A), by the distributive property of dot product */ + + if (fabs(n_dot_ab) < eps) { + /* + Segment is parallel (or near-parallel) to the plane. + If an endpoint lies on the plane within tolerance, use that endpoint to avoid + spurious NaNs from numerical noise. + */ + const int a_on_plane = fabs(n_dot_ta) < eps; + const int b_on_plane = fabs(n_dot_tb) < eps; + + if (a_on_plane && b_on_plane) return 0.f; + if (a_on_plane) return 0.f; + if (b_on_plane) return 1.f; + + return NAN; + } + + return -n_dot_ta / n_dot_ab; +} + + +static inline void plane_to_arc_local( + const ArcSegment3D segment, + const Point3D plane_point, + const Point3D normal, + Point3D *restrict q, + Point3D *restrict n_local) +{ + const Pose inv = pose_inverse_rigid(segment.start); + + /* Plane point in arc-local frame */ + *q = pose_apply_point(inv, plane_point); + + /* Plane normal in arc-local frame: R^T n */ + *n_local = (Point3D){ + .x = inv.mat[0][0] * normal.x + inv.mat[0][1] * normal.y + inv.mat[0][2] * normal.z, + .y = inv.mat[1][0] * normal.x + inv.mat[1][1] * normal.y + inv.mat[1][2] * normal.z, + .z = inv.mat[2][0] * normal.x + inv.mat[2][1] * normal.y + inv.mat[2][2] * normal.z, + }; +} + + +float_type arc_segment_plane_intersect( + const ArcSegment3D segment, + const Point3D plane_point, + const Point3D normal) +/* + Return a parameter `t` such that `arc_segment_point_at(segment, t)` lies on the + plane defined by `plane_point` and `normal`. + + Return NAN only if the plane does not intersect the supporting circle. + Otherwise return the solution `t` closest to [0, 1]. +*/ +{ + const float_type eps = APER_PRECISION; + const float_type L = segment.length; + + if (L <= eps) return 0.f; + + const float_type h = segment.curvature; + + /* Straight-line limit */ + if (fabs(h) < eps) { + const LineSegment3D line = { + .start = arc_segment_point_at(segment, 0.f), + .end = arc_segment_point_at(segment, 1.f), + }; + return line_segment_plane_intersect(line, plane_point, normal); + } + + /* + Bring the plane into arc-local coordinates. + + In these coordinates, with theta = h L t, + the arc is + + p(theta) = + ( + cos(roll) * (cos(theta) - 1) / h, + sin(roll) * (cos(theta) - 1) / h, + sin(theta) / h + ) + */ + Point3D q, n; + plane_to_arc_local(segment, plane_point, normal, &q, &n); + + /* + Solve the plane equation in local coordinates: + n · (p(theta) - q) = 0 + + Let: + alpha = n_x * cos(roll) + n_y * sin(roll) + beta = n_z + delta = n \cdot q + + Then we can rewrite the original equation as: + alpha * (cos(theta) - 1) / h + beta * sin(theta) / h - delta = 0 + + Multiply by h: + alpha * cos(theta) + beta * sin(theta) - (alpha + h * delta) = 0 + */ + const float_type alpha = n.x * cos(segment.roll) + n.y * sin(segment.roll); + const float_type beta = n.z; + const float_type delta = point3d_dot(n, q); + + /* Let a := alpha, b := beta, and c := -alpha - h * delta */ + const float_type a = alpha; + const float_type b = beta; + const float_type c = -(alpha + h * delta); + + /* + Using the identity + a cos(theta) + b sin(theta) = R cos(theta - phi) + where + R = hypot(a, b) + phi = atan2(b, a) + + We can solve the following for phi: + R cos(theta - phi) + c = 0 => cos(theta - phi) = -c / R + */ + const float_type R = hypot(a, b); + + if (R < eps) { + /* Degenerate case */ + if (fabs(c) < eps) + return 0; // The whole circle lies in the plane + else + return NAN; // No intersection + } + + const float_type rhs = -c / R; + + if (rhs < -(1 + eps) || rhs > 1 + eps) { + // No real solutions + return NAN; + } + + const float_type rhs_clamped = clamp_value(rhs, -1, 1); + const float_type phi = atan2(b, a); + const float_type gamma = acos(rhs_clamped); + + /* + Two solution families in theta: + theta = phi + gamma + 2 * pi * m + theta = phi - gamma + 2 * pi * m + + Convert with + theta = h L t + */ + const float_type theta_scale = h * L; + const float_type period_t = (2.f * M_PI) / theta_scale; + + const float_type t_base[2] = { + (phi + gamma) / theta_scale, + (phi - gamma) / theta_scale + }; + + float_type best_t = NAN; + float_type best_dist = INFINITY; + + for (int branch = 0; branch < 2; ++branch) { + const float_type t0 = t_base[branch]; + + /* Search copies of this solution family nearest to the interval [0, 1]. */ + const float_type m0 = round((0.f - t0) / period_t); + const float_type m1 = round((1.f - t0) / period_t); + + const float_type candidates[6] = { + t0 + (m0 - 1.f) * period_t, + t0 + m0 * period_t, + t0 + (m0 + 1.f) * period_t, + t0 + (m1 - 1.f) * period_t, + t0 + m1 * period_t, + t0 + (m1 + 1.f) * period_t + }; + + for (int i = 0; i < 6; ++i) { + const float_type t = candidates[i]; + float_type dist = 0.f; + if (t < 0.f) dist = -t; + else if (t > 1.f) dist = t - 1.f; + + if (dist < best_dist) { + best_dist = dist; + best_t = t; + } + } + } + + return best_t; +} + + +inline float_type segment3d_plane_intersect(const Segment3D segment, const Point3D plane_point, const Point3D normal) +/* + Given a `segment` (line or arc) and a plane defined with a point and a normal, get a parameter `t` along + the length of the `segment` at which the plane intersects the segment. If `t` is not in [0, 1] the plane + does not intersect the segment. +*/ +{ + switch (segment.type) { + case SEGMENT3D_LINE: + return line_segment_plane_intersect(segment.line, plane_point, normal); + case SEGMENT3D_ARC: + return arc_segment_plane_intersect(segment.arc, plane_point, normal); + } +} + + +inline float_type closest_t_on_line_segment(const Point3D p, const LineSegment3D segment) +/* + Closest point parameter `t` on segment [a,b] to point p. Parameter `t` is unconstrained, + if the point strictly on the segment is needed, clamp to [0, 1]. +*/ +{ + const Point3D a = segment.start; + const Point3D b = segment.end; + const float_type eps = APER_PRECISION; + const Point3D ab = point3d_sub(b, a); + const Point3D ap = point3d_sub(p, a); + const float_type segment_length = point3d_dot(ab, ab); + + if (segment_length < eps) return 0; + + const float_type t = point3d_dot(ap, ab) / segment_length; + return t; +} + + +inline float_type closest_t_on_arc_segment(const Point3D p, const ArcSegment3D segment) +/* + Closest point parameter t on an ArcSegment3D to point p. + + The returned value is the normalized arc parameter, such that + `arc_segment_point_at(segment, t)` is the closest point on the supporting arc. + + The returned parameter `t` is unconstrained, if the point strictly on the arc + segment is needed, clamp to [0, 1]. +*/ +{ + const float_type eps = APER_PRECISION; + if (segment.length < eps) return 0.f; + + const float_type h = segment.curvature; + + /* Transform p into the local frame of the arc start */ + const Pose inv_start = pose_inverse_rigid(segment.start); + const Point3D q = pose_apply_point(inv_start, p); + + /* + Undo the arc roll to bring the point into the frame in which + the arc lies in the X-Z plane. This is now a 2D problem, and + the Y coordinate is irrelevant for the computation. + */ + const float_type x = cos(segment.roll) * q.x + sin(segment.roll) * q.y; + const float_type z = q.z; + + + /* Shart-circuit if actually a line segment */ + if (fabs(h) < eps) { + return z / segment.length; + } + + /* + In the local X-Z plane the arc is a circle with centre `C = (-R, 0)` + and radius `R = 1 / h`. The closest point to `q` on the arc is the + point lying on the ray from `C` to `q`. + + The ray is: + v = (x - C_x, z - C_z) = (x + 1 / h, z) + + and the corresponding circle angle is then: + theta = atan2(v_z, v_x) = atan2(h * v_z, h * v_x) = atan2(h * z, 1 + h * x) + */ + const float_type theta = atan2(h * z, 1.f + h * x); + + return theta / (h * segment.length); +} + + +inline float_type closest_t_on_segment(const Point3D p, const Segment3D segment) +/* + Get parameter `t` of the point along the `segment` closest to `p`. +*/ +{ + switch (segment.type) { + case SEGMENT3D_LINE: + return closest_t_on_line_segment(p, segment.line); + case SEGMENT3D_ARC: + return closest_t_on_arc_segment(p, segment.arc); + } +} + +#endif /* XT_APERTURE_SEGMENT3D_H */ diff --git a/xtrack/aperture/headers/survey_tools.h b/xtrack/aperture/headers/survey_tools.h new file mode 100644 index 000000000..d43917f71 --- /dev/null +++ b/xtrack/aperture/headers/survey_tools.h @@ -0,0 +1,240 @@ +#ifndef SURVEY_TOOLS_H +#define SURVEY_TOOLS_H + +#include "base.h" +#include "segment3d.h" + + +typedef struct { + float_type s; // position along the beamline} + float_type angle; // angle of the pose vector + float_type length; // length of the segment + float_type tilt; // tilt of the segment + Pose pose; // pose matrix (4x4) for each entry +} SurveyEntry_s; + + +inline float_type get_survey_max_s(const SurveyData survey) +/* Get the max s of the survey. */ +{ + // Rely on the fact that the last element is `_end_point` (length = 0). + // This needs to change, if that is ever not the case. + const uint32_t survey_num_entries = SurveyData_len_s(survey); + return SurveyData_get_s(survey, survey_num_entries - 1); +} + + +inline Pose pose_matrix_from_survey(const SurveyData survey, const uint32_t idx) { + Pose m; + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; j++) { + m.mat[i][j] = SurveyData_get_pose(survey, idx, i, j); + } + } + return m; +} + + +inline Point3D survey_point(SurveyData survey, uint32_t idx) { + Pose pose = pose_matrix_from_survey(survey, idx); + return (Point3D) { + .x = pose.mat[0][3], + .y = pose.mat[1][3], + .z = pose.mat[2][3] + }; +} + + +inline uint8_t survey_is_closed(const SurveyData survey) { + const uint32_t survey_num_entries = SurveyData_len_s(survey); + if (survey_num_entries < 2) return 0; + + const Point3D start = survey_point(survey, 0); + const Point3D end = survey_point(survey, survey_num_entries - 1); + const Point3D delta = point3d_sub(end, start); + const float_type dist_sq = delta.x * delta.x + delta.y * delta.y + delta.z * delta.z; + return dist_sq < APER_PRECISION; // TODO: Check why this is needed for LHC (and not eps**2) +} + + +inline LineSegment3D survey_line_segment(SurveyData survey, uint32_t idx) { + const Point3D entry = survey_point(survey, idx); + const Point3D exit = survey_point(survey, idx + 1); + return (LineSegment3D) { + .start = entry, + .end = exit + }; +} + + +inline ArcSegment3D survey_arc_segment(SurveyData survey, uint32_t idx) { + const Pose start = pose_matrix_from_survey(survey, idx); + const float_type length = SurveyData_get_length(survey, idx); + const float_type angle = SurveyData_get_angle(survey, idx); + const float_type roll = SurveyData_get_tilt(survey, idx); + + return (ArcSegment3D) { + .start = start, + .length = length, + .curvature = angle / length, + .roll = roll + }; +} + + +inline Segment3D survey_segment(SurveyData survey, uint32_t idx) { + const float_type angle = SurveyData_get_angle(survey, idx); + const float_type length = SurveyData_get_length(survey, idx); + + if (fabs(angle) < APER_PRECISION || fabs(length) < APER_PRECISION) + { + return (Segment3D) { + .type = SEGMENT3D_LINE, + .line = survey_line_segment(survey, idx) + }; + } + else + { + return (Segment3D) { + .type = SEGMENT3D_ARC, + .arc = survey_arc_segment(survey, idx) + }; + } +} + + +SurveyEntry_s interpolate_survey_table_entry( + const SurveyData survey, + const float_type s_target, + const uint32_t i_survey +) +{ + const float_type eps = APER_PRECISION; + const float_type s_current = SurveyData_get_s(survey, i_survey); + const float_type s_next = SurveyData_get_s(survey, i_survey + 1); + + SurveyEntry_s entry; + entry.tilt = SurveyData_get_tilt(survey, i_survey); + + if (fabs(s_target - s_current) < eps) { + // Simply copy the current survey entry + entry.s = SurveyData_get_s(survey, i_survey); + entry.angle = SurveyData_get_angle(survey, i_survey); + entry.length = SurveyData_get_length(survey, i_survey); + entry.pose = pose_matrix_from_survey(survey, i_survey); + } + else { + // Properly interpolate between the current and the next survey entry + const float_type t = (s_target - s_current) / (s_next - s_current); + entry.angle = t * SurveyData_get_angle(survey, i_survey); + entry.length = t * SurveyData_get_length(survey, i_survey); + entry.s = s_current + entry.length; + + const Pose pose_current = pose_matrix_from_survey(survey, i_survey); + const Pose tilted_arc = arc_matrix(entry.length, entry.angle, 0); + entry.pose = matrix_multiply(pose_current, tilted_arc); + } + + return entry; +} + + +static inline SurveyEntry_s survey_entry_nan(void) +{ + SurveyEntry_s entry; + entry.s = NAN; + entry.angle = NAN; + entry.length = NAN; + entry.tilt = NAN; + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; j++) { + entry.pose.mat[i][j] = NAN; + } + } + return entry; +} + + +static inline void write_survey_entry( + const SurveyData sliced, + const uint32_t i_sliced, + const SurveyEntry_s entry +) +{ + SurveyData_set_s(sliced, i_sliced, entry.s); + SurveyData_set_angle(sliced, i_sliced, entry.angle); + SurveyData_set_length(sliced, i_sliced, entry.length); + SurveyData_set_tilt(sliced, i_sliced, entry.tilt); + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; j++) { + SurveyData_set_pose(sliced, i_sliced, i, j, entry.pose.mat[i][j]); + } + } +} + + +void resample_survey_table( + const SurveyData survey, + const float_type* const s, + const SurveyData sliced +) +/* + Interpolate the survey table at position ``s`` and store the result in ``sliced``. + All provided inputs/outputs are expected to be sorted by the s coordinate. + + Parameters: + ----------- + survey: + Survey data containing the original table. + s: + Position along the beamline for which to interpolate the survey data. + sliced: + Output array where the interpolated survey data will be stored. Should + have enough space to hold the interpolated values (len(s) entries). +*/ +{ + const float_type eps = APER_PRECISION; + const uint32_t survey_len = SurveyData_len_s(survey); + const uint32_t sliced_len = SurveyData_len_s(sliced); + const float_type s_first = SurveyData_get_s(survey, 0); + const float_type s_last = SurveyData_get_s(survey, survey_len - 1); + + uint32_t i_survey = 0; + + for (uint32_t i_sliced = 0; i_sliced < sliced_len; i_sliced++) { + const float_type s_target = s[i_sliced]; + + // If out of bounds, write NANs + if (s_target < s_first - eps || s_target > s_last + eps) { + write_survey_entry(sliced, i_sliced, survey_entry_nan()); + continue; + } + + // If s is basically at the start, take the starting survey point + if (s_target <= s_first + eps) { + write_survey_entry(sliced, i_sliced, interpolate_survey_table_entry(survey, s_first, 0)); + continue; + } + + // If s is basically at the end, take the end survey point + if (s_target >= s_last - eps) { + write_survey_entry(sliced, i_sliced, interpolate_survey_table_entry(survey, s_last, survey_len - 2)); + continue; + } + + // Fast-forward through survey to find the relevant survey segment for the s_target + while (i_survey < survey_len - 2) { + const float_type s_current = SurveyData_get_s(survey, i_survey); + const float_type s_next = SurveyData_get_s(survey, i_survey + 1); + if (s_current <= s_target && s_target <= s_next) { + break; + } + i_survey++; + } + + // Interpolate along the survey segment + write_survey_entry(sliced, i_sliced, interpolate_survey_table_entry(survey, s_target, i_survey)); + } +} + +#endif /* SURVEY_TOOLS_H */ diff --git a/xtrack/aperture/headers/zigzag_iterate.h b/xtrack/aperture/headers/zigzag_iterate.h new file mode 100644 index 000000000..26b98638d --- /dev/null +++ b/xtrack/aperture/headers/zigzag_iterate.h @@ -0,0 +1,143 @@ +#ifndef XTRACK_ZIGZAG_ITERATE_H +#define XTRACK_ZIGZAG_ITERATE_H + +typedef struct { + int32_t index; + int32_t offset; + int32_t start; + int32_t upper_bound; + int32_t visited; + uint8_t wrap; +} ZigZagIterator; + + +ZigZagIterator zigzag_iterator_new(uint32_t start, uint32_t upper_bound, uint8_t wrap) +/* + Return a new zigzag iterator: already pointing to `start`, which must be in `[0, upper_bound)`. + + The iterator's `.index` property points to the current index, and iterates within `[0, upper_bound)`, + either wrapping around the edges of the interval or stopping at the boundaries, according to `wrap`. +*/ +{ + return (ZigZagIterator) { + .index = start, + .offset = 0, + .start = start, + .upper_bound = upper_bound, + .wrap = wrap, + }; +} + + +static inline uint8_t zigzag_iterator_next_wrapping(ZigZagIterator* iter) +/* + Advance the zigzag iterator to the next index. + + The iterator alternates outward on the circular interval: + start, start+1, start-1, start+2, start-2, ... modulo upper_bound + + Returns + ------- + 1 if the iterator was successfully advanced and `iter->index` is valid. + 0 if the iterator is exhausted, and cannot be advanced anymore. + + Notes + ----- + It can be verified that if `upper_bound` is odd, the last visited index will be on a negative `offset`, + and if `upper_bound` is even, the last visited index will be on a positive `offset`. To determine when + to terminate the iteration, we need to check if the new offset will cause us to re-visit an index. + + For the even `upper_bound` case, last allowed offset is simply `upper_bound / 2`, and so in the + -> - + transition, we check for this condition, and if it's met, we terminate. + + For the odd `upper_bound` case, the last allowed offset is `-(upper_bound - 1) / 2 == -floor(upper_bound / 2)`. + In such a case, the next offset (disallowed) would be `floor(upper_bound) / 2 + 1`, so we check if + `next_offset > floor(upper_bound) / 2` and terminate if the condition is met. + */ +{ + const int32_t span = iter->upper_bound; + if (span <= 1) return 0; + + int32_t next_offset; + if (iter->offset == 0) { + /* Initial condition */ + next_offset = 1; + } + else if (iter->offset > 0) { + /* Positive side -> negative side */ + if (2 * iter->offset == span) return 0; + next_offset = -iter->offset; + } + else { + /* Negative side -> positive side */ + next_offset = -iter->offset + 1; + if (next_offset > span / 2) return 0; + } + + /* Compute the index */ + int32_t rel_index = iter->start + next_offset; + rel_index %= span; + if (rel_index < 0) rel_index += span; + + iter->offset = next_offset; + iter->index = rel_index; + return 1; +} + + +static inline uint8_t zigzag_iterator_next_bounded(ZigZagIterator* iter) +/* + Advance the zigzag iterator to the next index. + + The iterator alternates outward: start, start+1, start-1, start+2, start-2, ... + When one side reaches a bound, iteration continues only on the remaining side + until all indices in [0, upper_bound) are exhausted. + + Returns + ------- + 1 if the iterator was successfully advanced and `iter->index` is valid. + 0 if the iterator is exhausted, and cannot be advanced anymore. + */ +{ + int32_t prev_index = iter->index; + + if (iter->offset == 0) { + /* Initial condition */ + iter->offset++; + iter->index++; + } + else if (iter->offset > 0) { + /* Positive side -> negative side */ + iter->index -= 2 * iter->offset; + + if (iter->index < 0) { + /* Hit the lower bound, continue the positive side */ + iter->index = prev_index + 1; + iter->offset++; + } + else iter->offset *= -1; + } + else if (iter->offset < 0) { + /* Negative side -> positive side + 1 */ + iter->index += -2 * iter->offset + 1; + if (iter->index >= iter->upper_bound) { + /* Hit the upper bound, continue the negative side */ + iter->index = prev_index - 1; + iter->offset--; + } + else iter->offset = 1 - iter->offset; + } + + /* If still not in the bounds, means we've exhausted the iterator */ + if (iter->index < 0 || iter->upper_bound <= iter->index) return 0; + else return 1; +} + + +uint8_t zigzag_iterator_next(ZigZagIterator* iter) +{ + if (iter->wrap) return zigzag_iterator_next_wrapping(iter); + else return zigzag_iterator_next_bounded(iter); +} + +#endif /* XTRACK_ZIGZAG_ITERATE_H */ diff --git a/xtrack/aperture/profile_converters.py b/xtrack/aperture/profile_converters.py new file mode 100644 index 000000000..1654782a1 --- /dev/null +++ b/xtrack/aperture/profile_converters.py @@ -0,0 +1,150 @@ +from functools import singledispatch +from typing import List, Optional, Tuple, Union + +import numpy as np + +from xtrack.aperture.structures import ( + Circle, Ellipse, Octagon, Polygon, Racetrack, Rectangle, RectEllipse, + ShapeTypes +) +from xtrack.beam_elements import apertures + +LimitTypes = Union[ + apertures.LimitRect, + apertures.LimitEllipse, + apertures.LimitRectEllipse, + apertures.LimitRacetrack, + apertures.LimitPolygon, +] + + +@singledispatch +def profile_from_limit_element(element: LimitTypes) -> Tuple[ShapeTypes, float, float]: + """ + Convert a limit beam element to a profile object. + + Parameters + ---------- + element: LimitTypes + Element to convert to a profile. + Returns: + A tuple consting of the profile type, x offset, and y offset. + """ + raise NotImplementedError(f"Unsupported element type: {type(element)}") + + +@profile_from_limit_element.register +def _profile_from_limit_rect(element: apertures.LimitRect) -> Tuple[ShapeTypes, float, float]: + half_width = (element.max_x - element.min_x) / 2 + half_height = (element.max_y - element.min_y) / 2 + x = (element.min_x + element.max_x) / 2 + y = (element.min_y + element.max_y) / 2 + rectangle = Rectangle(half_width=half_width, half_height=half_height) + return rectangle, x, y + + +@profile_from_limit_element.register +def _profile_from_limit_ellipse(element: apertures.LimitEllipse) -> Tuple[ShapeTypes, float, float]: + rx = element.a + ry = element.b + ellipse = Ellipse(half_major=rx, half_minor=ry) + return ellipse, 0, 0 + + +@profile_from_limit_element.register +def _profile_from_limit_rect_ellipse(element: apertures.LimitRectEllipse) -> Tuple[ShapeTypes, float, float]: + max_x = element.max_x + max_y = element.max_y + rx = element.a + ry = element.b + rect_ellipse = RectEllipse(half_width=max_x, half_height=max_y, half_major=rx, half_minor=ry) + return rect_ellipse, 0, 0 + + +@profile_from_limit_element.register +def _profile_from_limit_racetrack(element: apertures.LimitRacetrack) -> Tuple[ShapeTypes, float, float]: + half_width = (element.max_x - element.min_x) / 2 + half_height = (element.max_y - element.min_y) / 2 + x = (element.min_x + element.max_x) / 2 + y = (element.min_y + element.max_y) / 2 + rx = element.a + ry = element.b + racetrack = Racetrack( + half_width=half_width, + half_height=half_height, + half_major=rx, + half_minor=ry, + ) + return racetrack, x, y + + +@profile_from_limit_element.register +def _profile_from_limit_polygon(element: apertures.LimitPolygon) -> Tuple[ShapeTypes, float, float]: + xs = element.x_vertices + [element.x_vertices[0]] + ys = element.y_vertices + [element.y_vertices[0]] + polygon = Polygon(vertices=np.column_stack([xs, ys])) + return polygon, 0, 0 + + +def profile_from_madx_aperture(shape: str, params: List[float]) -> Optional[ShapeTypes]: + converter, allowed_len_params = { + 'circle': (_profile_from_madx_circle, 1), + 'rectangle': (_profile_from_madx_rectangle, 2), + 'ellipse': (_profile_from_madx_ellipse, 2), + 'rectellipse': (_profile_from_madx_rectellipse, 4), + 'racetrack': (_profile_from_madx_racetrack, 4), + 'octagon': (_profile_from_madx_octagon, 4), + }[shape] + + # Clean up params due to MAD-X quirks + params = params[:allowed_len_params] + + if np.any(np.array(params[allowed_len_params:]) != 0): + raise ValueError( + f"Extra non-zero parameters provided for MAD-X aperture shape " + f"{shape}. Accepted number of params is {allowed_len_params}; " + f"provided {params}." + ) + + # If all params are zero, we ignore the aperture + if np.all(params == 0): + return None + + return converter(*params) + + +def _profile_from_madx_circle(radius) -> Circle: + return Circle(radius=radius) + + +def _profile_from_madx_rectangle(half_width, half_height) -> Rectangle: + return Rectangle(half_width=half_width, half_height=half_height) + + +def _profile_from_madx_ellipse(half_major, half_minor) -> Ellipse: + return Ellipse(half_major=half_major, half_minor=half_minor) + + +def _profile_from_madx_rectellipse(half_width, half_height, half_major, half_minor) -> RectEllipse: + return RectEllipse( + half_width=half_width, + half_height=half_height, + half_major=half_major, + half_minor=half_minor, + ) + + +def _profile_from_madx_racetrack(half_width, half_height, half_major, half_minor) -> Racetrack: + return Racetrack( + half_width=half_width, + half_height=half_height, + half_major=half_major, + half_minor=half_minor, + ) + + +def _profile_from_madx_octagon(half_width, half_height, angle_0, angle_1) -> Octagon: + # TODO: Handle inconsistencies coming from angle_1 + x = 0.5 * half_width * (np.tan(angle_0) + 1) + diag = np.sqrt(2) * x + return Octagon(half_width=half_width, half_height=half_height, half_diagonal=diag) \ No newline at end of file diff --git a/xtrack/aperture/structures.py b/xtrack/aperture/structures.py new file mode 100644 index 000000000..5846b484e --- /dev/null +++ b/xtrack/aperture/structures.py @@ -0,0 +1,605 @@ +from typing import Collection, List, Tuple, Union, get_args + +import numpy as np + +import xobjects as xo +from xobjects.context import XContext +from xtrack.particles import Particles +from xtrack.survey import SurveyTable +from xtrack.twiss import TwissTable + +FloatType = xo.Float64 + + +class Circle(xo.Struct): + radius = FloatType + + def __repr__(self): + return f'Circle(radius={self.radius})' + + +class Rectangle(xo.Struct): + half_width = FloatType + half_height = FloatType + + def __repr__(self): + return f'Rectangle(half_width={self.half_width}, half_height={self.half_height})' + + +class Ellipse(xo.Struct): + half_major = FloatType + half_minor = FloatType + + def __repr__(self): + return f'Ellipse(half_major={self.half_major}, half_minor={self.half_minor})' + + +class RectEllipse(xo.Struct): + half_width = FloatType + half_height = FloatType + half_major = FloatType + half_minor = FloatType + + def __repr__(self): + return (f'RectEllipse(half_width={self.half_width}, half_height={self.half_height}, ' + f'half_major={self.half_major}, half_minor={self.half_minor})') + + +class Racetrack(xo.Struct): + half_width = FloatType + half_height = FloatType + half_major = FloatType + half_minor = FloatType + + def __repr__(self): + return (f'RectEllipse(half_width={self.half_width}, half_height={self.half_height}, ' + f'half_major={self.half_major}, half_minor={self.half_minor})') + + +class Octagon(xo.Struct): + half_width = FloatType + half_height = FloatType + half_diagonal = FloatType + + def __repr__(self): + return f'Octagon(half_width={self.half_width}, half_height={self.half_height}, half_diagonal={self.half_diagonal})' + + +class Polygon(xo.Struct): + vertices = FloatType[:, 2] + + def __repr__(self): + return f'Polygon({self.vertices._shape[0]} vertices)' + + +class SVGShape(xo.Struct): + svg_data = xo.String + + +ShapeTypes = Union[Circle, Rectangle, Ellipse, RectEllipse, Racetrack, Octagon, Polygon, SVGShape] + + +class Shape(xo.UnionRef): + _reftypes = get_args(ShapeTypes) + + +class Profile(xo.Struct): + """Structure representing a profile with associated tolerances. + + Parameters + ---------- + tol_r: float + Radial tolerance for point-in-aperture check. + tol_x: float + Horizontal tolerance for point-in-aperture check. + tol_y: float + Vertical tolerance for point-in-aperture check. + """ + shape = Shape + tol_r = FloatType + tol_x = FloatType + tol_y = FloatType + + _extra_c_sources = [ + '#include "xtrack/aperture/headers/profile.h"', + ] + + _kernels = { + 'build_polygon_for_profile': xo.Kernel( + c_name='build_polygon_for_profile', + args=[ + xo.Arg(FloatType, pointer=True, name='points'), + xo.Arg(xo.UInt32, name='len_points'), + xo.Arg(xo.ThisClass, name='profile'), + ], + ), + } + + def build_polygon(self, len_points: int) -> np.ndarray: + points = np.empty((len_points, 2), dtype=FloatType._dtype) + self.compile_kernels(only_if_needed=True) + self._context.kernels.build_polygon_for_profile( + points=points, + len_points=len_points, + profile=self, + ) + return points + + def __repr__(self): + tols_str = '' + if self.tol_r != 0: + tols_str += f', tol_r={self.tol_r}' + if self.tol_x != 0: + tols_str += f', tol_x={self.tol_x}' + if self.tol_y != 0: + tols_str += f', tol_y={self.tol_y}' + return f'Profile({self.shape!r}{tols_str})' + + def plot(self, len_points=128, ax=None, **kwargs): + from matplotlib import pyplot as plt + ax = ax or plt.gca() + ax.set_aspect('equal') + poly = self.build_polygon(len_points) + ax.plot(poly[:, 0], poly[:, 1], **kwargs) + return ax + + +class ProfilePosition(xo.Struct): + """Description of the placement of a profile in pipe (lab) frame. + + Parameters + ---------- + profile_index: int + The index identifying the profile in the associated ``Profiles`` object. + shift_s: float + The position along the pipe axis where this profile sits. + shift_x: float + The horizontal shift of the profile centre from the pipe axis. + shift_y: float + The vertical shift of the profile centre from the pipe axis + rot_x_rad: float + The rotation of the profile around the horizontal axis in radians. + rot_y_rad: float + The rotation of the profile around the vertical axis in radians. + rot_s_rad: float + The rotation of the profile around the pipe axis in radians. + """ + profile_index = xo.Int32 + shift_s = FloatType + shift_x = FloatType + shift_y = FloatType + rot_x_rad = FloatType + rot_y_rad = FloatType + rot_s_rad = FloatType + + def copy(self): + return ProfilePosition( + profile_index=self.profile_index, + shift_s=self.shift_s, + shift_x=self.shift_x, + shift_y=self.shift_y, + rot_x_rad=self.rot_x_rad, + rot_y_rad=self.rot_y_rad, + rot_s_rad=self.rot_s_rad, + ) + + +class Pipe(xo.Struct): + """Description of the pipe, i.e. a section consisting of profiles. + + Parameters + ---------- + curvature: float + curvature of the pipe axis assumed to be in the horizontal plane + + positions: List[ProfilePosition] + The list of profile positions comprising the pipe. + """ + curvature = FloatType + positions = ProfilePosition[:] + + def __repr__(self): + count = len(self.positions) + params_str = '1 profile' if count == 1 else f'{count} profiles' + if self.curvature: + params_str += f', curvature={self.curvature}' + return f'' + + +class PipePosition(xo.Struct): + pipe_index = xo.Int32 + survey_reference_name = xo.String # identify a point in survey + survey_index = xo.Int32 # index of the point in the survey + transformation = FloatType[4, 4] # 3D rigid transformation matrix from the survey entry to 0 shift_s of pipe + + +class ApertureBounds(xo.Struct): + count = xo.UInt32 + pipe_position_indices = xo.UInt32[:] + profile_position_indices = xo.UInt32[:] + s_positions = FloatType[:] + s_start = FloatType[:] + s_end = FloatType[:] + + +class ProfilePolygons(xo.Struct): + count = xo.UInt32 + len_points = xo.UInt32 + points = FloatType[:, :, 2] + + +class TwissData(xo.Struct): + s = FloatType[:] # s position + x = FloatType[:] # closed orbit x + y = FloatType[:] # closed orbit y + betx = FloatType[:] # beta x + bety = FloatType[:] # beta y + dx = FloatType[:] # dispersion x + dy = FloatType[:] # dispersion y + delta = FloatType[:] # relative energy deviation + gamma = FloatType # relativistic gamma + beta = FloatType # relativistic beta + + @classmethod + def from_twiss_table(cls, particle_ref: Particles, twiss_table: TwissTable) -> 'TwissData': + twiss_data = cls( + s=twiss_table.s, # s position + x=twiss_table.x, # closed orbit x + y=twiss_table.y, # closed orbit y + betx=twiss_table.betx, # beta x + bety=twiss_table.bety, # beta y + dx=twiss_table.dx, # dispersion x + dy=twiss_table.dy, # dispersion y + delta=twiss_table.delta, # relative energy deviation + gamma=particle_ref.gamma0, # relativistic gamma + beta=particle_ref.beta0, # relativistic beta + ) + return twiss_data + + +class BeamData(xo.Struct): + emitx_norm = xo.Float64 # normalized emittance x + emity_norm = xo.Float64 # normalized emittance y + delta_rms = xo.Float64 # rms energy spread + tol_co = xo.Float64 # tolerance for closed orbit [co_radius] + tol_disp = xo.Float64 # tolerance for normalized dispersion [dqf] + tol_disp_ref = xo.Float64 # tolerance for reference dispersion derivative [paras_dx] + tol_disp_ref_beta = xo.Float64 # tolerance for reference dispersion beta [betaqfx] + tol_beta_beating = xo.Float64 # tolerance for beta beating in sigma [beta_beating] + halo_x = xo.Float64 # n sigma of horizontal halo + halo_y = xo.Float64 # n sigma of vertical halo + halo_r = xo.Float64 # n sigma of 45 degree halo + halo_primary = xo.Float64 # n sigma of primary halo + + +class SurveyData(xo.Struct): + s = FloatType[:] + pose = FloatType[:, 4, 4] + angle = FloatType[:] + length = FloatType[:] + tilt = FloatType[:] + + _extra_c_sources = [ + '#include "xtrack/aperture/headers/survey_tools.h"', + ] + + _kernels = { + 'resample_survey_table': xo.Kernel( + c_name='resample_survey_table', + args=[ + xo.Arg(xo.ThisClass, name='survey'), + xo.Arg(FloatType, pointer=True, name='s'), + xo.Arg(xo.ThisClass, name='sliced'), + ], + ), + } + + @classmethod + def zeros(cls, length, context: XContext = None) -> 'SurveyData': + return cls( + s=np.zeros(shape=(length,), dtype=FloatType._dtype), + pose=np.zeros(shape=(length, 4, 4), dtype=FloatType._dtype), + angle=np.zeros(shape=(length,), dtype=FloatType._dtype), + length=np.zeros(shape=(length,), dtype=FloatType._dtype), + tilt=np.zeros(shape=(length,), dtype=FloatType._dtype), + _context=context, + ) + + @classmethod + def from_survey_table(cls, survey_table: SurveyTable, context: XContext = None) -> 'SurveyData': + s = np.zeros(shape=(len(survey_table),), dtype=FloatType._dtype) + poses = np.zeros(shape=(len(survey_table), 4, 4), dtype=FloatType._dtype) + angles = np.zeros_like(s) + lengths = np.zeros_like(s) + tilts = np.zeros_like(s) + + for idx, row in enumerate(survey_table.rows): + row = survey_table.rows[idx] + s[idx] = row.s[0] + poses[idx, :3, 0] = row.ex[0] + poses[idx, :3, 1] = row.ey[0] + poses[idx, :3, 2] = row.ez[0] + poses[idx, :, 3] = np.hstack([row.X[0], row.Y[0], row.Z[0], 1]) + angles[idx] = row.angle[0] + lengths[idx] = row.length[0] + tilts[idx] = row.rot_s_rad[0] + + survey_data = cls(s=s, pose=poses, angle=angles, length=lengths, tilt=tilts, _context=context) + return survey_data + + def resample(self, s_positions: Collection[float]) -> 'SurveyData': + s_positions = np.array(s_positions, dtype=FloatType._dtype) + resampled = SurveyData.zeros(len(s_positions), context=self._context) + self.compile_kernels(only_if_needed=True) + self._context.kernels.resample_survey_table(survey=self, s=s_positions, sliced=resampled) + return resampled + + +class ApertureModel(xo.Struct): + pipe_positions = PipePosition[:] + pipes = Pipe[:] + profiles = Profile[:] + + _extra_c_sources = [ + '#include "xtrack/aperture/headers/cross_sections.h"', + '#include "xtrack/aperture/headers/beam_aperture.h"', + '#include "xtrack/aperture/headers/survey_tools.h"', + ] + + _kernels = { + 'build_profile_polygons': xo.Kernel( + c_name='build_profile_polygons', + args=[ + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(ProfilePolygons, name='profile_polygons'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(SurveyData, name='survey'), + ], + ), + 'cross_sections_at_s': xo.Kernel( + c_name='cross_sections_at_s', + args=[ + xo.Arg(SurveyData, name='survey_at_s'), + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(ProfilePolygons, name='profile_polygons'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(SurveyData, name='survey'), + xo.Arg(FloatType, pointer=True, name='cross_sections'), + xo.Arg(FloatType, pointer=True, name='tol_r'), + xo.Arg(FloatType, pointer=True, name='tol_x'), + xo.Arg(FloatType, pointer=True, name='tol_y'), + ], + ), + 'compute_max_aperture_sigma_bisection': xo.Kernel( + c_name='compute_max_aperture_sigma_bisection', + args=[ + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(SurveyData, name='survey'), + xo.Arg(ProfilePolygons, name='profile_polygons'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(TwissData, name='twiss_at_s'), + xo.Arg(SurveyData, name='survey_at_s'), + xo.Arg(BeamData, name='beam_data'), + xo.Arg(FloatType, pointer=True, name='out_interpolated_apertures'), + xo.Arg(xo.UInt32, name='envelope_num_points'), + xo.Arg(FloatType, pointer=True, name='out_envelope_at_max_sigma'), + xo.Arg(FloatType, pointer=True, name='sigmas'), + ], + ), + 'compute_max_aperture_sigma_rays': xo.Kernel( + c_name='compute_max_aperture_sigma_rays', + args=[ + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(SurveyData, name='survey'), + xo.Arg(ProfilePolygons, name='profile_polygons'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(TwissData, name='twiss_at_s'), + xo.Arg(SurveyData, name='survey_at_s'), + xo.Arg(BeamData, name='beam_data'), + xo.Arg(FloatType, pointer=True, name='out_interpolated_apertures'), + xo.Arg(xo.UInt32, name='envelope_num_points'), + xo.Arg(FloatType, pointer=True, name='out_envelope_at_max_sigma'), + xo.Arg(FloatType, pointer=True, name='ray_angles'), + xo.Arg(xo.UInt32, name='num_ray_angles'), + xo.Arg(FloatType, pointer=True, name='sigmas'), + ], + ), + 'compute_max_aperture_sigma_exact': xo.Kernel( + c_name='compute_max_aperture_sigma_exact', + args=[ + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(SurveyData, name='survey'), + xo.Arg(ProfilePolygons, name='profile_polygons'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(TwissData, name='twiss_at_s'), + xo.Arg(SurveyData, name='survey_at_s'), + xo.Arg(BeamData, name='beam_data'), + xo.Arg(FloatType, pointer=True, name='out_interpolated_apertures'), + xo.Arg(xo.UInt32, name='envelope_num_points'), + xo.Arg(FloatType, pointer=True, name='out_envelope_at_max_sigma'), + xo.Arg(FloatType, pointer=True, name='ray_angles'), + xo.Arg(xo.UInt32, name='num_ray_angles'), + xo.Arg(FloatType, pointer=True, name='sigmas'), + ], + ), + 'compute_beam_envelopes_at_sigma': xo.Kernel( + c_name='compute_beam_envelopes_at_sigma', + args=[ + xo.Arg(xo.ThisClass, name='model'), + xo.Arg(ApertureBounds, name='aperture_bounds'), + xo.Arg(TwissData, name='twiss_at_s'), + xo.Arg(BeamData, name='beam_data'), + xo.Arg(FloatType, name='sigmas'), + xo.Arg(xo.UInt32, name='envelope_num_points'), + xo.Arg(xo.Int8, name='include_aper_tols'), + xo.Arg(FloatType, pointer=True, name='out_envelope'), + ], + ), + '_points_inside_polygon': xo.Kernel( + c_name='_points_inside_polygon', + args=[ + xo.Arg(FloatType, pointer=True, name='points'), + xo.Arg(FloatType, pointer=True, name='poly_points'), + xo.Arg(xo.UInt32, name='len_points'), + xo.Arg(xo.UInt32, name='len_poly_points'), + ], + ret=xo.Arg(xo.Int8), + ), + '_is_point_inside_polygon': xo.Kernel( + c_name='_is_point_inside_polygon', + args=[ + xo.Arg(FloatType, pointer=True, name='point'), + xo.Arg(FloatType, pointer=True, name='points'), + xo.Arg(xo.UInt32, name='len_points'), + ], + ret=xo.Arg(xo.Int8), + ), + } + + def __init__( + self, + pipe_positions: List[PipePosition], + pipes: List[Pipe], + profiles: List[Profile], + pipe_names: List[str], + profile_names: List[str], + pipe_position_names: List[str], + **kwargs, + ): + if len(pipe_names) != len(pipes): + raise ValueError("Length of pipe_names and pipe_names must match.") + + if len(profile_names) != len(profiles): + raise ValueError("Length of profiles and profiles must match.") + + if len(pipe_position_names) != len(pipe_positions): + raise ValueError("Length of pipe_position_names and pipe_positions must match.") + + self.pipe_names = pipe_names + self.profile_names = profile_names + self.pipe_position_names = pipe_position_names + + super().__init__(pipe_positions=pipe_positions, pipes=pipes, profiles=profiles, **kwargs) + + def pipe_name_for_index(self, idx: int) -> str: + return self.pipe_names[idx] + + def pipe_position_name_for_index(self, idx: int) -> str: + return self.pipe_position_names[idx] + + def profile_name_for_index(self, idx: int) -> str: + return self.profile_names[idx] + + def pipe_for_position(self, pipe_position: PipePosition) -> Pipe: + return self.pipes[pipe_position.pipe_index] + + def pipe_name_for_position(self, pipe_position: PipePosition) -> str: + return self.pipe_name_for_index(pipe_position.pipe_index) + + def pipe_position_name_for_position_index(self, idx: int) -> str: + return self.pipe_position_name_for_index(idx) + + def profile_for_position(self, profile_position: ProfilePosition) -> Profile: + return self.profiles[profile_position.profile_index] + + def profile_name_for_position(self, profile_position: ProfilePosition) -> str: + return self.profile_name_for_index(profile_position.profile_index) + + def pipe_position_profile_names_for_indices(self, pipe_position_index, profile_position_index) -> Tuple[str, str]: + pipe_pos_name = self.pipe_position_name_for_index(pipe_position_index) + pipe_pos = self.pipe_positions[pipe_position_index] + pipe = self.pipe_for_position(pipe_pos) + profile_pos = pipe.positions[profile_position_index] + profile_name = self.profile_name_for_position(profile_pos) + return pipe_pos_name, profile_name + + def pipe_profile_names_for_indices(self, pipe_position_index, profile_position_index) -> Tuple[str, str]: + pipe_pos = self.pipe_positions[pipe_position_index] + pipe_name = self.pipe_name_for_position(pipe_pos) + pipe = self.pipe_for_position(pipe_pos) + profile_pos = pipe.positions[profile_position_index] + profile_name = self.profile_name_for_position(profile_pos) + return pipe_name, profile_name + + @property + def types(self): + return self.pipes + + @property + def type_positions(self): + return self.pipe_positions + + @property + def type_names(self): + return self.pipe_names + + @property + def type_position_names(self): + return self.pipe_position_names + + def type_name_for_index(self, idx: int) -> str: + return self.pipe_name_for_index(idx) + + def type_position_name_for_index(self, idx: int) -> str: + return self.pipe_position_name_for_index(idx) + + def type_for_position(self, type_position: PipePosition) -> Pipe: + return self.pipe_for_position(type_position) + + def type_name_for_position(self, type_position: PipePosition) -> str: + return self.pipe_name_for_position(type_position) + + def type_position_name_for_position_index(self, idx: int) -> str: + return self.pipe_position_name_for_position_index(idx) + + def type_position_profile_names_for_indices(self, type_position_index, profile_position_index) -> Tuple[str, str]: + return self.pipe_position_profile_names_for_indices(type_position_index, profile_position_index) + + def type_profile_names_for_indices(self, type_position_index, profile_position_index) -> Tuple[str, str]: + return self.pipe_profile_names_for_indices(type_position_index, profile_position_index) + + def to_dict(self) -> dict: + out = self._to_dict() + out['pipe_names'] = self.pipe_names + out['pipe_position_names'] = self.pipe_position_names + out['profile_names'] = self.profile_names + return out + @classmethod + def from_dict(cls, src: dict, context: XContext = None) -> 'ApertureModel': + return cls(**src, _context=context) + + def build_profile_polygons(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.build_profile_polygons(model=self, **kwargs) + + def cross_sections_at_s(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.cross_sections_at_s(model=self, **kwargs) + + def compute_max_aperture_sigma_bisection(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.compute_max_aperture_sigma_bisection(model=self, **kwargs) + + def compute_max_aperture_sigma_rays(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.compute_max_aperture_sigma_rays(model=self, **kwargs) + + def compute_max_aperture_sigma_exact(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.compute_max_aperture_sigma_exact(model=self, **kwargs) + + def compute_beam_envelopes_at_sigma(self, **kwargs) -> None: + self.compile_kernels(only_if_needed=True) + self._context.kernels.compute_beam_envelopes_at_sigma(model=self, **kwargs) + + def _points_inside_polygon(self, **kwargs) -> bool: + self.compile_kernels(only_if_needed=True) + return bool(self._context.kernels._points_inside_polygon(**kwargs)) + + def _is_point_inside_polygon(self, **kwargs) -> bool: + self.compile_kernels(only_if_needed=True) + return bool(self._context.kernels._is_point_inside_polygon(**kwargs)) + + +ApertureType = Pipe +TypePosition = PipePosition diff --git a/xtrack/aperture/transform.py b/xtrack/aperture/transform.py new file mode 100644 index 000000000..a5ec3c25c --- /dev/null +++ b/xtrack/aperture/transform.py @@ -0,0 +1,139 @@ +from typing import NamedTuple + +import numpy as np + + +class Transform(NamedTuple): + shift_x: float + shift_y: float + shift_z: float + rot_y_rad: float + rot_x_rad: float + rot_z_rad: float + + +def transform_matrix( + shift_x=0, + shift_y=0, + shift_z=0, + rot_y_rad=0, + rot_x_rad=0, + rot_z_rad=0, + *, + dx=None, + dy=None, + ds=None, + theta=None, + phi=None, + psi=None, +): + """Generate a 3D transformation matrix. + + Parameters + ---------- + shift_x, shift_y, shift_z : float + Shifts in x, y, and z directions + rot_y_rad : float + Rotation around the y-axis (positive s to x) in radians (MAD-X theta) + rot_x_rad + Rotation around the x-axis (positive s to y) in radians (MAD-X phi) + rot_z_rad + Rotation around the z-axis (positive y to x) in radians (MAD-X psi) + """ + if dx is not None: + shift_x = dx + if dy is not None: + shift_y = dy + if ds is not None: + shift_z = ds + if theta is not None: + rot_y_rad = theta + if phi is not None: + rot_x_rad = phi + if psi is not None: + rot_z_rad = psi + + s_phi, c_phi = np.sin(rot_x_rad), np.cos(rot_x_rad) + s_theta, c_theta = np.sin(rot_y_rad), np.cos(rot_y_rad) + s_psi, c_psi = np.sin(rot_z_rad), np.cos(rot_z_rad) + matrix = np.array( + [ + [ + -s_phi * s_psi * s_theta + c_psi * c_theta, + -c_psi * s_phi * s_theta - c_theta * s_psi, + c_phi * s_theta, + shift_x, + ], + [ + c_phi * s_psi, + c_phi * c_psi, + s_phi, + shift_y, + ], + [ + -c_theta * s_phi * s_psi - c_psi * s_theta, + -c_psi * c_theta * s_phi + s_psi * s_theta, + c_phi * c_theta, + shift_z, + ], + [0, 0, 0, 1], + ] + ) + return matrix + + +def matrix_to_transform(matrix: np.ndarray) -> Transform: + """Decompose a 4x4 homogeneous transform matrix into shifts and rotations. + + The rotations are applied in the following order: + + R = Ry(rot_y_rad) @ Rx(rot_x_rad) @ Rz(rot_z_rad) + + and translation taken from the last column. + + Parameters + ---------- + matrix : np.ndarray + 4x4 homogeneous transform matrix + + Returns + ------- + Transform + The corresponding transform parameters. + """ + matrix = np.asarray(matrix, dtype=float) + + if matrix.shape != (4, 4): + raise ValueError(f"Expected a 4x4 matrix, got shape {matrix.shape}") + + # Optional structural checks + if not np.allclose(matrix[3], [0.0, 0.0, 0.0, 1.0]): + raise ValueError("Matrix does not look like a homogeneous transform") + + R = matrix[:3, :3] + t = matrix[:3, 3] + + # Optional cleanup if numerical noise is present + # Project to the nearest proper rotation matrix + U, _, Vt = np.linalg.svd(R) + R = U @ Vt + if np.linalg.det(R) < 0: + U[:, -1] *= -1 + R = U @ Vt + + # Extract translation directly + shift_x, shift_y, shift_z = t + + # Extract angles for R = Ry(rot_y_rad) @ Rx(rot_x_rad) @ Rz(rot_z_rad) + rot_x_rad = np.arcsin(np.clip(R[1, 2], -1.0, 1.0)) + rot_y_rad = np.arctan2(R[0, 2], R[2, 2]) + rot_z_rad = np.arctan2(R[1, 0], R[1, 1]) + + return Transform( + shift_x=float(shift_x), + shift_y=float(shift_y), + shift_z=float(shift_z), + rot_y_rad=float(rot_y_rad), + rot_x_rad=float(rot_x_rad), + rot_z_rad=float(rot_z_rad), + ) diff --git a/xtrack/environment.py b/xtrack/environment.py index 379f07d2f..43c4c2660 100644 --- a/xtrack/environment.py +++ b/xtrack/environment.py @@ -946,7 +946,7 @@ def from_madx(cls, filename=None, madx=None, stdout=None, return_lines=False, ** ---------- file: str The MAD-X file to load from. - **kwargs: dict + **kwargs Additional keyword arguments are passed to the `Line.from_madx_sequence` method. diff --git a/xtrack/mad_loader.py b/xtrack/mad_loader.py index cf46efc94..90b717056 100644 --- a/xtrack/mad_loader.py +++ b/xtrack/mad_loader.py @@ -623,11 +623,12 @@ def make_line(self, buffer=None): eldata["offset"] = [madel.mech_sep / 2 * self.bv, madel.v_pos] eldata["assembly_id"] = madel.assembly_id eldata["slot_id"] = madel.slot_id - eldata["aperture"] = [ - madel.apertype, - list(madel.aperture), - list(madel.aper_tol), - ] + if hasattr(madel, "apertype"): + eldata["aperture"] = [ + madel.apertype, + list(madel.aperture), + list(madel.aper_tol), + ] layout_data[nn] = eldata line.metadata["layout_data"] = layout_data diff --git a/xtrack/mad_parser/loader.py b/xtrack/mad_parser/loader.py index dc5ae3102..3398cc7ad 100644 --- a/xtrack/mad_parser/loader.py +++ b/xtrack/mad_parser/loader.py @@ -92,20 +92,22 @@ def __init__( self, env: xt.Environment = None, default_to_zero: bool = False, + install_limits: bool = True, s_tol: float = 1e-9, _rbend_correct_k0: bool = False, ): + self.env = env or xt.Environment() + self.install_limits = install_limits + self.s_tol = s_tol + self.builders = {} + self._madx_elem_hierarchy: Dict[str, List[str]] = {} self._both_direction_elements: Set[str] = set() self._builtin_types = set() self._parameter_cache = {} - - self.env = env or xt.Environment() - self.env.default_to_zero = default_to_zero - self.builders = {} - self.s_tol = s_tol self._rbend_correct_k0 = _rbend_correct_k0 + self.env.default_to_zero = default_to_zero self._init_environment() def _init_environment(self): @@ -231,15 +233,17 @@ def _parse_lines(self, lines: Dict[str, LineType]): elif refer == 'exit': refer = 'end' length = params.get('l', None) - builder = self.env.new_line(name=name, refer=refer, - length=length, - s_tol=self.s_tol, - compose=True) + builder = self.env.new_line( + name=name, + refer=refer, + length=length, + s_tol=self.s_tol, + compose=True, + ) self._parse_components(builder, params.pop('elements')) elif line_type == 'line': components = self._parse_line_components(params.pop('elements')) - builder = self.env.new_line(name=name, components=components, - compose=True) + builder = self.env.new_line(name=name, components=components, compose=True) else: raise ValueError( f'Only a MAD-X sequence or a line type can be used to build' @@ -294,7 +298,10 @@ def _parse_line_components(self, elements): elif parent is None: # If it's a reference to a single element, we multiply it and # add it. Reversal will not affect it. - components += body.get('_repeat', 1) * [name] + element = [name] + if self.install_limits and (aper_name := self.env[name].name_associated_aperture): + element.insert(0, aper_name) + components += repeat * element else: raise ValueError('Only an element reference or a line is accepted') @@ -322,7 +329,7 @@ def _new_element(self, name, parent, builder, **kwargs): el_params = self._convert_element_params(name, kwargs) - if aperture and 'at' in el_params: # placing mode + if aperture and self.install_limits and 'at' in el_params: # placing mode builder.place(aperture, at=0, from_=f'{name}@start') if should_clone: @@ -331,7 +338,7 @@ def _new_element(self, name, parent, builder, **kwargs): # If parent is None, we must be in a sequence, and so we are # placing the element: in MAD-X this requires an `at` param, but # we can be a bit more lax, as Xsuite will automatically place the - # element after the previous one if there is not `at`. + # element after the previous one if there is no `at`. self._place_element(name, el_params, builder) if aperture: @@ -662,7 +669,7 @@ def _is_standalone_aperture(self, element_name: str): def load_madx_lattice(file=None, string=None, reverse_lines=None, s_tol=1e-6, - _rbend_correct_k0=False, end_compose=True) -> xt.Environment: + _rbend_correct_k0=False, end_compose=True, **kwargs) -> xt.Environment: if file is not None and string is not None: raise ValueError('Only one of `file` or `string` can be provided!') @@ -670,7 +677,7 @@ def load_madx_lattice(file=None, string=None, reverse_lines=None, s_tol=1e-6, if file is None and string is None: raise ValueError('Either `file` or `string` must be provided!') - loader = MadxLoader(s_tol=s_tol, _rbend_correct_k0=_rbend_correct_k0) + loader = MadxLoader(s_tol=s_tol, _rbend_correct_k0=_rbend_correct_k0, **kwargs) if file is not None: if not isinstance(file, (tuple, list)): diff --git a/xtrack/mad_parser/madx.lark b/xtrack/mad_parser/madx.lark index 1fe7177da..51c950f4f 100644 --- a/xtrack/mad_parser/madx.lark +++ b/xtrack/mad_parser/madx.lark @@ -91,7 +91,7 @@ array: "{" sum ( "," sum )* "}" -> build_list string_literal: STRING -ignored: if | return | select | remove | beam | assign +ignored: if | return | select | remove | beam | assign | use !if: "if"i /[^\n]+/ !return: "return"i /[^\n]+/ @@ -99,6 +99,7 @@ ignored: if | return | select | remove | beam | assign !remove: "remove"i /[^\n]+/ !beam: "beam"i /[^;]*;/ !assign: "assign"i /[^\n]+/ +!use: "use"i /[^;]*;/ _SEQUENCE: "sequence"i _ENDSEQUENCE: "endsequence"i diff --git a/xtrack/prebuilt_kernel_definitions/element_types.py b/xtrack/prebuilt_kernel_definitions/element_types.py index 2eca6e970..15be8a83c 100644 --- a/xtrack/prebuilt_kernel_definitions/element_types.py +++ b/xtrack/prebuilt_kernel_definitions/element_types.py @@ -7,6 +7,8 @@ from ..monitors import * from ..multisetter import MultiSetter from ..random import * +from ..aperture.structures import ApertureModel, Profile, SurveyData + ONLY_XTRACK_ELEMENTS = [ Drift, @@ -116,4 +118,7 @@ RandomNormal, RandomRutherford, MultiSetter, + ApertureModel, + Profile, + SurveyData, ] diff --git a/xtrack/survey.py b/xtrack/survey.py index 7330faf11..9862eab21 100644 --- a/xtrack/survey.py +++ b/xtrack/survey.py @@ -526,3 +526,20 @@ def _compute_survey_quantities_from_v_w(V, W): 'p0': p0, 'W': W } + + +def survey_relative_transform(survey: SurveyTable, source: str | int, destination: str | int) -> np.ndarray: + """Generate a 3D transformation matrix from survey point `source` to `destination`.""" + src_row = survey.rows[source] + dest_row = survey.rows[destination] + + def _row_to_matrix(row): + matrix = np.identity(4) + matrix[:3, :3] = row.W + matrix[:3, 3] = row.p0 + return matrix + + src_mat = _row_to_matrix(src_row) + dest_mat = _row_to_matrix(dest_row) + + return np.linalg.inv(src_mat) @ dest_mat