45 lines
953 B
Python
45 lines
953 B
Python
#!/usr/bin/env python3
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import matplotlib.pyplot as plt
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from Cryptotools.Groups.curve import Curve
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from Cryptotools.Groups.point import Point
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a = 3
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b = 8
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curve = Curve(a, b, Curve.WEIERSTRASS)
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x = curve.x
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curve.generatePoints()
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y = curve.y
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yn = curve.yn
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points = curve.getPoints()
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P = points[10]
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nP = curve.scalar(P, 5)
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print(f"{nP.x} {nP.y}")
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# For testing, we may add n times with the addition operation for the Scalar Multiplication
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tmp = Point(0, 0)
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for i in range(5):
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tmp = curve.add(P, tmp)
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# Unfortunately, the result is approximatively the same
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# the multiplication need to be more accurate
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# if tmp == nP:
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# print(True)
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plt.figure(figsize=(10, 6))
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plt.plot(x, y, color='b', label=f'$y^2 = x^3 + {a}x + {b}$')
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plt.plot(x, yn, color='b', )
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plt.plot(P.x, P.y, marker='o', color="red")
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plt.annotate('P', (P.x, P.y + 0.5))
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plt.plot(nP.x, nP.y, marker='o', color="red")
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plt.annotate('nP', (nP.x, nP.y + 0.5))
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plt.legend()
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plt.show()
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