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from binascii import unhexlify
import pytest
from pyecsca.ec.coordinates import AffineCoordinateModel
from pyecsca.ec.curve import EllipticCurve
from pyecsca.ec.error import UnsatisfiedAssumptionError
from pyecsca.ec.mod import Mod
from pyecsca.ec.model import MontgomeryModel
from pyecsca.ec.point import Point, InfinityPoint
def test_init(secp128r1):
with pytest.raises(ValueError):
EllipticCurve(
MontgomeryModel(),
secp128r1.curve.coordinate_model,
1,
InfinityPoint(secp128r1.curve.coordinate_model),
parameters={},
)
with pytest.raises(ValueError):
EllipticCurve(
secp128r1.curve.model,
secp128r1.curve.coordinate_model,
15,
InfinityPoint(secp128r1.curve.coordinate_model),
parameters={"c": 0},
)
with pytest.raises(ValueError):
EllipticCurve(
secp128r1.curve.model,
secp128r1.curve.coordinate_model,
15,
InfinityPoint(secp128r1.curve.coordinate_model),
parameters={"a": Mod(1, 5), "b": Mod(2, 5)},
)
def test_to_coords(secp128r1):
affine = secp128r1.to_affine()
m1_coords = affine.curve.model.coordinates["projective-1"]
m3_coords = affine.curve.model.coordinates["projective-3"]
with pytest.raises(UnsatisfiedAssumptionError):
affine.to_coords(m1_coords)
affine.to_coords(m3_coords)
def test_to_affine(secp128r1):
affine = secp128r1.to_affine()
model = AffineCoordinateModel(affine.curve.model)
assert affine.curve.coordinate_model == model
assert affine.generator.coordinate_model == model
def test_is_neutral(secp128r1):
assert secp128r1.curve.is_neutral(
InfinityPoint(secp128r1.curve.coordinate_model)
)
def test_is_on_curve(secp128r1, curve25519):
assert secp128r1.curve.is_on_curve(secp128r1.curve.neutral)
pt = Point(
secp128r1.curve.coordinate_model,
X=Mod(0x161FF7528B899B2D0C28607CA52C5B86, secp128r1.curve.prime),
Y=Mod(0xCF5AC8395BAFEB13C02DA292DDED7A83, secp128r1.curve.prime),
Z=Mod(1, secp128r1.curve.prime),
)
assert secp128r1.curve.is_on_curve(pt)
assert secp128r1.curve.is_on_curve(pt.to_affine())
other = Point(
secp128r1.curve.coordinate_model,
X=Mod(0x161FF7528B899B2D0C28607CA52C5B86, secp128r1.curve.prime),
Y=Mod(0xAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA, secp128r1.curve.prime),
Z=Mod(1, secp128r1.curve.prime),
)
assert not secp128r1.curve.is_on_curve(other)
assert not secp128r1.curve.is_on_curve(curve25519.generator)
def test_affine_add(secp128r1):
pt = Point(
AffineCoordinateModel(secp128r1.curve.model),
x=Mod(0xEB916224EDA4FB356421773573297C15, secp128r1.curve.prime),
y=Mod(0xBCDAF32A2C08FD4271228FEF35070848, secp128r1.curve.prime),
)
affine_base = secp128r1.generator.to_affine()
assert secp128r1.curve.affine_add(affine_base, pt) is not None
added = secp128r1.curve.affine_add(affine_base, affine_base)
doubled = secp128r1.curve.affine_double(affine_base)
assert added == doubled
assert secp128r1.curve.affine_add(secp128r1.curve.neutral, pt) == pt
assert secp128r1.curve.affine_add(pt, secp128r1.curve.neutral) == pt
def test_affine_double(secp128r1):
affine_base = secp128r1.generator.to_affine()
assert secp128r1.curve.affine_double(affine_base) is not None
assert secp128r1.curve.affine_double(secp128r1.curve.neutral) == \
secp128r1.curve.neutral
def test_affine_negate(secp128r1, curve25519):
affine_base = secp128r1.generator.to_affine()
assert secp128r1.curve.affine_negate(affine_base) is not None
assert secp128r1.curve.affine_negate(secp128r1.curve.neutral) == \
secp128r1.curve.neutral
with pytest.raises(ValueError):
secp128r1.curve.affine_negate(secp128r1.generator)
with pytest.raises(ValueError):
secp128r1.curve.affine_negate(curve25519.generator)
def test_affine_multiply(secp128r1, curve25519):
affine_base = secp128r1.generator.to_affine()
expected = affine_base
expected = secp128r1.curve.affine_double(expected)
expected = secp128r1.curve.affine_double(expected)
expected = secp128r1.curve.affine_add(expected, affine_base)
expected = secp128r1.curve.affine_double(expected)
assert secp128r1.curve.affine_multiply(affine_base, 10) == expected
assert secp128r1.curve.affine_multiply(secp128r1.curve.neutral, 10) == \
secp128r1.curve.neutral
with pytest.raises(ValueError):
secp128r1.curve.affine_multiply(secp128r1.generator, 10)
with pytest.raises(ValueError):
secp128r1.curve.affine_multiply(curve25519.generator, 10)
def test_affine_neutral(secp128r1, curve25519, ed25519):
assert secp128r1.curve.affine_neutral is None
assert curve25519.curve.affine_neutral is None
assert ed25519.curve.affine_neutral is not None
def test_neutral_is_affine(secp128r1, curve25519, ed25519):
assert not secp128r1.curve.neutral_is_affine
assert not curve25519.curve.neutral_is_affine
assert ed25519.curve.neutral_is_affine
@pytest.mark.parametrize("curve_name", ["secp128r1", "curve25519", "ed25519"])
def test_affine_random(curve_name, request):
params = request.getfixturevalue(curve_name)
for _ in range(20):
pt = params.curve.affine_random()
assert pt is not None
assert params.curve.is_on_curve(pt)
def test_eq(secp128r1, curve25519):
assert secp128r1.curve == secp128r1.curve
assert secp128r1.curve != curve25519.curve
assert secp128r1.curve is not None
def test_decode(secp128r1):
affine_curve = secp128r1.curve.to_affine()
affine_point = secp128r1.generator.to_affine()
decoded = affine_curve.decode_point(bytes(affine_point))
assert decoded == affine_point
affine_compressed_bytes = unhexlify("03161ff7528b899b2d0c28607ca52c5b86")
decoded_compressed = affine_curve.decode_point(affine_compressed_bytes)
assert decoded_compressed == affine_point
affine_compressed_bytes = unhexlify("02161ff7528b899b2d0c28607ca52c5b86")
decoded_compressed = affine_curve.decode_point(affine_compressed_bytes)
decoded_compressed = secp128r1.curve.affine_negate(decoded_compressed)
assert decoded_compressed == affine_point
infinity_bytes = unhexlify("00")
decoded_infinity = affine_curve.decode_point(infinity_bytes)
assert affine_curve.neutral == decoded_infinity
with pytest.raises(ValueError):
affine_curve.decode_point(unhexlify("03161ff7528b899b2d0c28607ca52c5b"))
with pytest.raises(ValueError):
affine_curve.decode_point(
unhexlify("04161ff7528b899b2d0c28607ca52c5b2c5b2c5b2c5b")
)
with pytest.raises(ValueError):
affine_curve.decode_point(unhexlify("7a161ff7528b899b2d0c28607ca52c5b86"))
with pytest.raises(ValueError):
affine_curve.decode_point(unhexlify("03161ff7528b899b2d0c28607ca52c5b88"))
|
