First Commit Combinatorial Calculus

Author: [FacuFalcone]

Combination/Combinations.py

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+# MIT License
+#
+# Copyright (c) 2021 [FacuFalcone]
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in all
+# copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.
+
+from Permutations.Factorial import Factorial as F
+
+
+def SimpleCombinatory():
+    """
+    Calculate the simple combination of K elements from N total elements.
+    Only Nature is important.
+    """
+    try:
+        print("\n###### Simple Combinatory #######")
+        print("C(n, k)")
+        numberN = int(input("Value for n: "))
+        numberK = int(input("Value for k: "))
+        n = F(numberN)
+        k = F(numberK) * F((numberN - numberK))
+        print(f"Simple Combination of C({numberN},{numberK}): ")
+        print(f"Formula: {n}! / ( {k}! * ({n-k})! )")
+        print(f"Result: {n/k}")
+    except Exception as e:
+        print(f"Error: {e}")
+
+
+def CompoundCombinatory():
+    """
+    Calculate the simple combination of K elements from N total elements, being able to repeat.
+    Only Nature is important.
+    """
+    print("\n###### Compound Combinatory #######")
+    try:
+        print("C'(n, k)")
+        numberN = int(input("Value for n: "))
+        numberK = int(input("Value for k: "))
+        n = numberN + numberK - 1
+        k = F(numberN - 1) * F(numberK)
+        print(f"Compound Combination of C'({numberN},{numberK}):")
+        print(f"Formula: ({numberN} + {numberK} - 1) / ({numberN} - 1)!{numberK}!")
+        print(f"Result: {F(n)/k}")
+    except Exception as e:
+        print(f"Error: {e}")

Combination/__init__.py

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+# MIT License
+# 
+# Copyright (c) 2021 [FacuFalcone]
+# 
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+# 
+# The above copyright notice and this permission notice shall be included in all
+# copies or substantial portions of the Software.
+# 
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.

Main.py

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+# MIT License
+#
+# Copyright (c) 2021 [FacuFalcone]
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in all
+# copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.
+
+from Permutation import Permutations as P
+from Combination import Combinations as C
+from Variation import Variations as V
+
+
+def SelectOperation(option: int):
+    try:
+        if option == 1:
+            P.SimplePermutation()
+        elif option == 2:
+            V.SimpleVariation()
+        elif option == 3:
+            C.SimpleCombinatory()
+        elif option == 4:
+            P.ComposedPermutation()
+        elif option == 5:
+            V.CompoundVariation()
+        elif option == 6:
+            C.CompoundCombinatory()
+    except Exception as e:
+        print(f"Error: {e}")
+
+
+def CombinatorialCalculus():
+    appName = "Combinatorial Calculus"
+    version = "v1.2.0"
+    author = "Facu Falcone"
+    print("Select an option from the ones below")
+    print("1 - Simple Permutation.\n2 - Simple Variation.\n3 - Simple Combination.")
+    print("4 - Compound Permutation.\n5 - Compound Variation.\n6 - Compound Combination.")
+    try:
+        option = int(input("Your option: "))
+        SelectOperation(option)
+    except Exception as e:
+        print(f"Error: {e}")
+    finally:
+        print(f"\n## {appName} {version} by {author}. ##\n")
+
+
+if __name__ == '__main__':
+    CombinatorialCalculus()