First commit

examples/group.py

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+#!/usr/bin/env python3
+
+from Cryptotools.Groups.group import Group
+from Cryptotools.Utils.utils import gcd
+import matplotlib.pyplot as plt
+
+
+n = 18
+def operation(e1, e2, n) -> int:
+    return e1 * e2 % n
+
+# Generate the group G
+g = list()
+for i in range(1, n):
+    #if gcd(i, n) == 1:
+    g.append(i)
+
+G = Group(n = n, g = g, ope=operation)
+print(f"n = {n}")
+print(f"G = {G.getG()}")
+
+if G.closure() is False:
+    print("The closure law is not respected. It's not an abelian (commutative) group")
+else:
+    print("It is a closure group")
+
+if G.associative() is False:
+    print("The associative law is not respected. It's not a group")
+else:
+    print("It is an associative group")
+
+if G.identity() is False:
+    print("The group hasn't an identity element")
+else:
+    print(f"Identity: {G.getIdentity()}")
+
+if G.reverse() is False:
+    print(f"The group hasn't a reverse")
+else:
+    print(f"Reverses: {G.getReverses()}")
+
+#reverses = G.getReverses()
+#plt.rcParams["figure.figsize"] = [7.00, 3.50]
+#plt.rcParams["figure.autolayout"] = True
+#for key, value in reverses.items():
+#    x = key
+#    y = value
+#    plt.plot(x, y, marker="o", markersize=2, markeredgecolor="blue")
+#    #plt.Circle((0, n), 0.2, color='r')
+#
+#plt.xlim(0, n)
+#plt.ylim(0, n)
+#plt.grid()
+#plt.show()
+