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| 1 | +// Copyright (c) 2021 Timofey Solomko |
| 2 | +// Licensed under MIT License |
| 3 | +// |
| 4 | +// See LICENSE for license information |
| 5 | + |
| 6 | +import XCTest |
| 7 | +import BitByteData |
| 8 | + |
| 9 | +class SignedNumberRepresentationTests: XCTestCase { |
| 10 | + |
| 11 | + // MARK: minRepresentableNumber |
| 12 | + |
| 13 | + func testMinRepresentableNumber_SM() { |
| 14 | + let repr = SignedNumberRepresentation.signMagnitude |
| 15 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), 0) |
| 16 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -1) |
| 17 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -1023) |
| 18 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -16383) |
| 19 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -4194303) |
| 20 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), Int.min) |
| 21 | + } |
| 22 | + |
| 23 | + func testMinRepresentableNumber_1C() { |
| 24 | + let repr = SignedNumberRepresentation.oneComplementNegatives |
| 25 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), 0) |
| 26 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -1) |
| 27 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -1023) |
| 28 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -16383) |
| 29 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -4194303) |
| 30 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), Int.min) |
| 31 | + } |
| 32 | + |
| 33 | + func testMinRepresentableNumber_2C() { |
| 34 | + let repr = SignedNumberRepresentation.twoComplementNegatives |
| 35 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), -1) |
| 36 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -2) |
| 37 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -1024) |
| 38 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -16384) |
| 39 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -4194304) |
| 40 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), Int.min) |
| 41 | + } |
| 42 | + |
| 43 | + func testMinRepresentableNumber_Biased_E3() { |
| 44 | + let repr = SignedNumberRepresentation.biased(bias: 3) |
| 45 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), -3) |
| 46 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -3) |
| 47 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -3) |
| 48 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -3) |
| 49 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -3) |
| 50 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), -3) |
| 51 | + } |
| 52 | + |
| 53 | + func testMinRepresentableNumber_Biased_E127() { |
| 54 | + let repr = SignedNumberRepresentation.biased(bias: 127) |
| 55 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), -127) |
| 56 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -127) |
| 57 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -127) |
| 58 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -127) |
| 59 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -127) |
| 60 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), -127) |
| 61 | + } |
| 62 | + |
| 63 | + func testMinRepresentableNumber_Biased_E1023() { |
| 64 | + let repr = SignedNumberRepresentation.biased(bias: 1023) |
| 65 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), -1023) |
| 66 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -1023) |
| 67 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -1023) |
| 68 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -1023) |
| 69 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -1023) |
| 70 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), -1023) |
| 71 | + } |
| 72 | + |
| 73 | + func testMinRepresentableNumber_RN2() { |
| 74 | + let repr = SignedNumberRepresentation.radixNegativeTwo |
| 75 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 1), 0) |
| 76 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 2), -2) |
| 77 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 11), -682) |
| 78 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 15), -10922) |
| 79 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: 23), -2796202) |
| 80 | + XCTAssertEqual(repr.minRepresentableNumber(bitsCount: Int.bitWidth), Int.min) |
| 81 | + } |
| 82 | + |
| 83 | + // MARK: maxRepresentableNumber |
| 84 | + |
| 85 | + func testMaxRepresentableNumber_SM() { |
| 86 | + let repr = SignedNumberRepresentation.signMagnitude |
| 87 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), 0) |
| 88 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), 1) |
| 89 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1023) |
| 90 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 16383) |
| 91 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 4194303) |
| 92 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max) |
| 93 | + } |
| 94 | + |
| 95 | + func testMaxRepresentableNumber_1C() { |
| 96 | + let repr = SignedNumberRepresentation.oneComplementNegatives |
| 97 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), 0) |
| 98 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), 1) |
| 99 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1023) |
| 100 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 16383) |
| 101 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 4194303) |
| 102 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max) |
| 103 | + } |
| 104 | + |
| 105 | + func testMaxRepresentableNumber_2C() { |
| 106 | + let repr = SignedNumberRepresentation.twoComplementNegatives |
| 107 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), 0) |
| 108 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), 1) |
| 109 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1023) |
| 110 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 16383) |
| 111 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 4194303) |
| 112 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max) |
| 113 | + } |
| 114 | + |
| 115 | + func testMaxRepresentableNumber_Biased_E3() { |
| 116 | + let repr = SignedNumberRepresentation.biased(bias: 3) |
| 117 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), -2) |
| 118 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), 0) |
| 119 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 2044) |
| 120 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 32764) |
| 121 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 8388604) |
| 122 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max - 3) |
| 123 | + } |
| 124 | + |
| 125 | + func testMaxRepresentableNumber_Biased_E127() { |
| 126 | + let repr = SignedNumberRepresentation.biased(bias: 127) |
| 127 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), -126) |
| 128 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), -124) |
| 129 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1920) |
| 130 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 32640) |
| 131 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 8388480) |
| 132 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max - 127) |
| 133 | + } |
| 134 | + |
| 135 | + func testMaxRepresentableNumber_Biased_E1023() { |
| 136 | + let repr = SignedNumberRepresentation.biased(bias: 1023) |
| 137 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), -1022) |
| 138 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), -1020) |
| 139 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1024) |
| 140 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 31744) |
| 141 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 8387584) |
| 142 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), Int.max - 1023) |
| 143 | + } |
| 144 | + |
| 145 | + func testMaxRepresentableNumber_RN2() { |
| 146 | + let repr = SignedNumberRepresentation.radixNegativeTwo |
| 147 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 1), 1) |
| 148 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 2), 1) |
| 149 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 11), 1365) |
| 150 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 15), 21845) |
| 151 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: 23), 5592405) |
| 152 | + XCTAssertEqual(repr.maxRepresentableNumber(bitsCount: Int.bitWidth), 6148914691236517205) |
| 153 | + } |
| 154 | + |
| 155 | +} |
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