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Diffstat (limited to 'freezed_deps/ecdsa/test_jacobi.py')
| -rw-r--r-- | freezed_deps/ecdsa/test_jacobi.py | 365 |
1 files changed, 0 insertions, 365 deletions
diff --git a/freezed_deps/ecdsa/test_jacobi.py b/freezed_deps/ecdsa/test_jacobi.py deleted file mode 100644 index 35e5242..0000000 --- a/freezed_deps/ecdsa/test_jacobi.py +++ /dev/null @@ -1,365 +0,0 @@ - -try: - import unittest2 as unittest -except ImportError: - import unittest - -import hypothesis.strategies as st -from hypothesis import given, assume, settings, example - -from .ellipticcurve import Point, PointJacobi, INFINITY -from .ecdsa import generator_256, curve_256, generator_224 -from .numbertheory import inverse_mod - -class TestJacobi(unittest.TestCase): - def test___init__(self): - curve = object() - x = 2 - y = 3 - z = 1 - order = 4 - pj = PointJacobi(curve, x, y, z, order) - - self.assertEqual(pj.order(), order) - self.assertIs(pj.curve(), curve) - self.assertEqual(pj.x(), x) - self.assertEqual(pj.y(), y) - - def test_add_with_different_curves(self): - p_a = PointJacobi.from_affine(generator_256) - p_b = PointJacobi.from_affine(generator_224) - - with self.assertRaises(ValueError): - p_a + p_b - - def test_compare_different_curves(self): - self.assertNotEqual(generator_256, generator_224) - - def test_equality_with_non_point(self): - pj = PointJacobi.from_affine(generator_256) - - self.assertNotEqual(pj, "value") - - def test_conversion(self): - pj = PointJacobi.from_affine(generator_256) - pw = pj.to_affine() - - self.assertEqual(generator_256, pw) - - def test_single_double(self): - pj = PointJacobi.from_affine(generator_256) - pw = generator_256.double() - - pj = pj.double() - - self.assertEqual(pj.x(), pw.x()) - self.assertEqual(pj.y(), pw.y()) - - def test_double_with_zero_point(self): - pj = PointJacobi(curve_256, 0, 0, 1) - - pj = pj.double() - - self.assertIs(pj, INFINITY) - - def test_double_with_zero_equivalent_point(self): - pj = PointJacobi(curve_256, 0, curve_256.p(), 1) - - pj = pj.double() - - self.assertIs(pj, INFINITY) - - def test_double_with_zero_equivalent_point_non_1_z(self): - pj = PointJacobi(curve_256, 0, curve_256.p(), 2) - - pj = pj.double() - - self.assertIs(pj, INFINITY) - - def test_compare_with_affine_point(self): - pj = PointJacobi.from_affine(generator_256) - pa = pj.to_affine() - - self.assertEqual(pj, pa) - self.assertEqual(pa, pj) - - def test_to_affine_with_zero_point(self): - pj = PointJacobi(curve_256, 0, 0, 1) - - pa = pj.to_affine() - - self.assertIs(pa, INFINITY) - - def test_add_with_affine_point(self): - pj = PointJacobi.from_affine(generator_256) - pa = pj.to_affine() - - s = pj + pa - - self.assertEqual(s, pj.double()) - - def test_radd_with_affine_point(self): - pj = PointJacobi.from_affine(generator_256) - pa = pj.to_affine() - - s = pa + pj - - self.assertEqual(s, pj.double()) - - def test_add_with_infinity(self): - pj = PointJacobi.from_affine(generator_256) - - s = pj + INFINITY - - self.assertEqual(s, pj) - - def test_add_zero_point_to_affine(self): - pa = PointJacobi.from_affine(generator_256).to_affine() - pj = PointJacobi(curve_256, 0, 0, 1) - - s = pj + pa - - self.assertIs(s, pa) - - def test_multiply_by_zero(self): - pj = PointJacobi.from_affine(generator_256) - - pj = pj * 0 - - self.assertIs(pj, INFINITY) - - def test_zero_point_multiply_by_one(self): - pj = PointJacobi(curve_256, 0, 0, 1) - - pj = pj * 1 - - self.assertIs(pj, INFINITY) - - def test_multiply_by_one(self): - pj = PointJacobi.from_affine(generator_256) - pw = generator_256 * 1 - - pj = pj * 1 - - self.assertEqual(pj.x(), pw.x()) - self.assertEqual(pj.y(), pw.y()) - - def test_multiply_by_two(self): - pj = PointJacobi.from_affine(generator_256) - pw = generator_256 * 2 - - pj = pj * 2 - - self.assertEqual(pj.x(), pw.x()) - self.assertEqual(pj.y(), pw.y()) - - def test_rmul_by_two(self): - pj = PointJacobi.from_affine(generator_256) - pw = generator_256 * 2 - - pj = 2 * pj - - self.assertEqual(pj, pw) - - def test_compare_non_zero_with_infinity(self): - pj = PointJacobi.from_affine(generator_256) - - self.assertNotEqual(pj, INFINITY) - - def test_compare_zero_point_with_infinity(self): - pj = PointJacobi(curve_256, 0, 0, 1) - - self.assertEqual(pj, INFINITY) - - def test_compare_double_with_multiply(self): - pj = PointJacobi.from_affine(generator_256) - dbl = pj.double() - mlpl = pj * 2 - - self.assertEqual(dbl, mlpl) - - @settings(max_examples=10) - @given(st.integers(min_value=0, max_value=int(generator_256.order()))) - def test_multiplications(self, mul): - pj = PointJacobi.from_affine(generator_256) - pw = pj.to_affine() * mul - - pj = pj * mul - - self.assertEqual((pj.x(), pj.y()), (pw.x(), pw.y())) - self.assertEqual(pj, pw) - - @settings(max_examples=10) - @given(st.integers(min_value=0, max_value=int(generator_256.order()))) - @example(0) - @example(int(generator_256.order())) - def test_precompute(self, mul): - precomp = PointJacobi.from_affine(generator_256, True) - pj = PointJacobi.from_affine(generator_256) - - a = precomp * mul - b = pj * mul - - self.assertEqual(a, b) - - @settings(max_examples=10) - @given(st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(generator_256.order()))) - @example(3, 3) - def test_add_scaled_points(self, a_mul, b_mul): - j_g = PointJacobi.from_affine(generator_256) - a = PointJacobi.from_affine(j_g * a_mul) - b = PointJacobi.from_affine(j_g * b_mul) - - c = a + b - - self.assertEqual(c, j_g * (a_mul + b_mul)) - - @settings(max_examples=10) - @given(st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(curve_256.p()-1))) - def test_add_one_scaled_point(self, a_mul, b_mul, new_z): - j_g = PointJacobi.from_affine(generator_256) - a = PointJacobi.from_affine(j_g * a_mul) - b = PointJacobi.from_affine(j_g * b_mul) - - p = curve_256.p() - - assume(inverse_mod(new_z, p)) - - new_zz = new_z * new_z % p - - b = PointJacobi( - curve_256, b.x() * new_zz % p, b.y() * new_zz * new_z % p, new_z) - - c = a + b - - self.assertEqual(c, j_g * (a_mul + b_mul)) - - @settings(max_examples=10) - @given(st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(curve_256.p()-1))) - @example(1, 1, 1) - @example(3, 3, 3) - @example(2, int(generator_256.order()-2), 1) - @example(2, int(generator_256.order()-2), 3) - def test_add_same_scale_points(self, a_mul, b_mul, new_z): - j_g = PointJacobi.from_affine(generator_256) - a = PointJacobi.from_affine(j_g * a_mul) - b = PointJacobi.from_affine(j_g * b_mul) - - p = curve_256.p() - - assume(inverse_mod(new_z, p)) - - new_zz = new_z * new_z % p - - a = PointJacobi( - curve_256, a.x() * new_zz % p, a.y() * new_zz * new_z % p, new_z) - b = PointJacobi( - curve_256, b.x() * new_zz % p, b.y() * new_zz * new_z % p, new_z) - - c = a + b - - self.assertEqual(c, j_g * (a_mul + b_mul)) - - @settings(max_examples=14) - @given(st.integers(min_value=1, max_value=int(generator_256.order())), - st.integers(min_value=1, max_value=int(generator_256.order())), - st.lists(st.integers(min_value=1, max_value=int(curve_256.p()-1)), - min_size=2, max_size=2, unique=True)) - @example(2, 2, [2, 1]) - @example(2, 2, [2, 3]) - @example(2, int(generator_256.order()-2), [2, 3]) - @example(2, int(generator_256.order()-2), [2, 1]) - def test_add_different_scale_points(self, a_mul, b_mul, new_z): - j_g = PointJacobi.from_affine(generator_256) - a = PointJacobi.from_affine(j_g * a_mul) - b = PointJacobi.from_affine(j_g * b_mul) - - p = curve_256.p() - - assume(inverse_mod(new_z[0], p)) - assume(inverse_mod(new_z[1], p)) - - new_zz0 = new_z[0] * new_z[0] % p - new_zz1 = new_z[1] * new_z[1] % p - - a = PointJacobi( - curve_256, - a.x() * new_zz0 % p, - a.y() * new_zz0 * new_z[0] % p, - new_z[0]) - b = PointJacobi( - curve_256, - b.x() * new_zz1 % p, - b.y() * new_zz1 * new_z[1] % p, - new_z[1]) - - c = a + b - - self.assertEqual(c, j_g * (a_mul + b_mul)) - - def test_add_point_3_times(self): - j_g = PointJacobi.from_affine(generator_256) - - self.assertEqual(j_g * 3, j_g + j_g + j_g) - - def test_mul_add_inf(self): - j_g = PointJacobi.from_affine(generator_256) - - self.assertEqual(j_g, j_g.mul_add(1, INFINITY, 1)) - - def test_mul_add_same(self): - j_g = PointJacobi.from_affine(generator_256) - - self.assertEqual(j_g * 2, j_g.mul_add(1, j_g, 1)) - - def test_mul_add_precompute(self): - j_g = PointJacobi.from_affine(generator_256, True) - b = PointJacobi.from_affine(j_g * 255, True) - - self.assertEqual(j_g * 256, j_g + b) - self.assertEqual(j_g * (5 + 255 * 7), j_g * 5 + b * 7) - self.assertEqual(j_g * (5 + 255 * 7), j_g.mul_add(5, b, 7)) - - def test_mul_add_precompute_large(self): - j_g = PointJacobi.from_affine(generator_256, True) - b = PointJacobi.from_affine(j_g * 255, True) - - self.assertEqual(j_g * 256, j_g + b) - self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0), - j_g * 0xff00 + b * 0xf0f0) - self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0), - j_g.mul_add(0xff00, b, 0xf0f0)) - - def test_mul_add_to_mul(self): - j_g = PointJacobi.from_affine(generator_256) - - a = j_g * 3 - b = j_g.mul_add(2, j_g, 1) - - self.assertEqual(a, b) - - def test_mul_add(self): - j_g = PointJacobi.from_affine(generator_256) - - w_a = generator_256 * 255 - w_b = generator_256 * (0xa8*0xf0) - j_b = j_g * 0xa8 - - ret = j_g.mul_add(255, j_b, 0xf0) - - self.assertEqual(ret.to_affine(), w_a + w_b) - - def test_mul_add_large(self): - j_g = PointJacobi.from_affine(generator_256) - b = PointJacobi.from_affine(j_g * 255) - - self.assertEqual(j_g * 256, j_g + b) - self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0), - j_g * 0xff00 + b * 0xf0f0) - self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0), - j_g.mul_add(0xff00, b, 0xf0f0)) |