mirror of
https://github.com/trezor/trezor-firmware.git
synced 2024-11-18 13:38:12 +00:00
305 lines
7.4 KiB
Python
305 lines
7.4 KiB
Python
import ctypes as c
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import random
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import ecdsa
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import hashlib
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import subprocess
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import binascii
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import pytest
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import os
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def bytes2num(s):
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res = 0
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for i, b in enumerate(reversed(bytearray(s))):
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res += b << (i * 8)
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return res
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curves = {
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'nist256p1': ecdsa.curves.NIST256p,
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'secp256k1': ecdsa.curves.SECP256k1
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}
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random_iters = int(os.environ.get('ITERS', 1))
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scons_file = '''
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srcs = 'ecdsa bignum secp256k1 nist256p1 sha2 rand hmac ripemd160 base58'
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srcs = [(s + '.c') for s in srcs.split()]
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flags = ('-Os -g -W -Wall -Wextra -Wimplicit-function-declaration '
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'-Wredundant-decls -Wstrict-prototypes -Wundef -Wshadow '
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'-Wpointer-arith -Wformat -Wreturn-type -Wsign-compare -Wmultichar '
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'-Wformat-nonliteral -Winit-self -Wuninitialized -Wformat-security '
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'-Werror -Wno-sequence-point ')
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SharedLibrary('ecdsa', srcs, CCFLAGS=flags)
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'''
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open('SConstruct', 'w').write(scons_file)
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subprocess.check_call('scons -s', shell=True)
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lib = c.cdll.LoadLibrary('./libecdsa.so')
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lib.get_curve_by_name.restype = c.c_void_p
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BIGNUM = c.c_uint32 * 9
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class Random(random.Random):
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def randbytes(self, n):
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buf = (c.c_uint8 * n)()
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for i in range(n):
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buf[i] = self.randrange(0, 256)
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return buf
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def randpoint(self, curve):
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k = self.randrange(0, curve.order)
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return k * curve.generator
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def int2bn(x, bn_type=BIGNUM):
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b = bn_type()
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b._int = x
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for i in range(len(b)):
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b[i] = x % (1 << 30)
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x = x >> 30
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return b
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def bn2int(b):
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x = 0
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for i in range(len(b)):
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x += (b[i] << (30 * i))
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return x
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@pytest.fixture(params=range(random_iters))
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def r(request):
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seed = request.param
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return Random(seed + int(os.environ.get('SEED', 0)))
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@pytest.fixture(params=list(sorted(curves)))
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def curve(request):
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name = request.param
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curve_ptr = lib.get_curve_by_name(name)
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assert curve_ptr, 'curve {} not found'.format(name)
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curve_obj = curves[name]
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curve_obj.ptr = c.c_void_p(curve_ptr)
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curve_obj.p = curve_obj.curve.p() # shorthand
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return curve_obj
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def test_inverse(curve, r):
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x = r.randrange(1, curve.p)
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y = int2bn(x)
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lib.bn_inverse(y, int2bn(curve.p))
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y = bn2int(y)
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y_ = ecdsa.numbertheory.inverse_mod(x, curve.p)
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assert y == y_
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def test_inverse(curve, r):
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x = r.randrange(0, 2*curve.p)
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y = int2bn(x)
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lib.bn_mult_half(y, int2bn(curve.p))
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y = bn2int(y)
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if y > curve.p:
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y -= curve.p
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half = ecdsa.numbertheory.inverse_mod(2, curve.p)
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assert y == (x * half) % curve.p
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def test_subtractmod(curve, r):
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x = r.randrange(0, 2 ** 256)
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y = r.randrange(0, 2 ** 256)
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z = int2bn(0)
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lib.bn_subtractmod(int2bn(x), int2bn(y), z, int2bn(curve.p))
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z = bn2int(z)
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z_ = x + 2*curve.p - y
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assert z == z_
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def test_subtract2(r):
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x = r.randrange(0, 2 ** 256)
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y = r.randrange(0, 2 ** 256)
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x, y = max(x, y), min(x, y)
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z = int2bn(0)
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lib.bn_subtract(int2bn(x), int2bn(y), z)
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z = bn2int(z)
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z_ = x - y
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assert z == z_
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def test_addmod(curve, r):
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x = r.randrange(0, 2 ** 256)
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y = r.randrange(0, 2 ** 256)
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z_ = (x + y) % curve.p
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z = int2bn(x)
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lib.bn_addmod(z, int2bn(y), int2bn(curve.p))
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z = bn2int(z)
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assert z == z_
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def test_multiply(curve, r):
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k = r.randrange(0, 2 * curve.p)
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x = r.randrange(0, 2 * curve.p)
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z = (k * x) % curve.p
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k = int2bn(k)
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z_ = int2bn(x)
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p_ = int2bn(curve.p)
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lib.bn_multiply(k, z_, p_)
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z_ = bn2int(z_)
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assert z_ < 2*curve.p
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if z_ >= curve.p:
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z_ = z_ - curve.p
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assert z_ == z
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def test_multiply1(curve, r):
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k = r.randrange(0, 2 * curve.p)
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x = r.randrange(0, 2 * curve.p)
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kx = k * x
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res = int2bn(0, bn_type=(c.c_uint32 * 18))
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lib.bn_multiply_long(int2bn(k), int2bn(x), res)
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res = bn2int(res)
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assert res == kx
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def test_multiply2(curve, r):
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x = int2bn(0)
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s = r.randrange(0, 2 ** 526)
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res = int2bn(s, bn_type=(c.c_uint32 * 18))
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prime = int2bn(curve.p)
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lib.bn_multiply_reduce(x, res, prime)
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x = bn2int(x)
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x_ = s % curve.p
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assert x == x_
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def test_fast_mod(curve, r):
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x = r.randrange(0, 128*curve.p)
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y = int2bn(x)
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lib.bn_fast_mod(y, int2bn(curve.p))
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y = bn2int(y)
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assert y < 2*curve.p
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if y >= curve.p:
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y -= curve.p
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assert x % curve.p == y
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def test_mod(curve, r):
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x = r.randrange(0, 2*curve.p)
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y = int2bn(x)
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lib.bn_mod(y, int2bn(curve.p))
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assert bn2int(y) == x % curve.p
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POINT = BIGNUM * 2
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to_POINT = lambda p: POINT(int2bn(p.x()), int2bn(p.y()))
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from_POINT = lambda p: (bn2int(p[0]), bn2int(p[1]))
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JACOBIAN = BIGNUM * 3
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to_JACOBIAN = lambda jp: JACOBIAN(int2bn(jp[0]), int2bn(jp[1]), int2bn(jp[2]))
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from_JACOBIAN = lambda p: (bn2int(p[0]), bn2int(p[1]), bn2int(p[2]))
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def test_point_multiply(curve, r):
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p = r.randpoint(curve)
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k = r.randrange(0, 2 ** 256)
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kp = k * p
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res = POINT(int2bn(0), int2bn(0))
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lib.point_multiply(curve.ptr, int2bn(k), to_POINT(p), res)
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res = from_POINT(res)
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assert res == (kp.x(), kp.y())
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def test_point_add(curve, r):
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p1 = r.randpoint(curve)
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p2 = r.randpoint(curve)
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#print '-' * 80
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q = p1 + p2
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q1 = to_POINT(p1)
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q2 = to_POINT(p2)
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lib.point_add(curve.ptr, q1, q2)
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q_ = from_POINT(q2)
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assert q_ == (q.x(), q.y())
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def test_point_double(curve, r):
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p = r.randpoint(curve)
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q = p.double()
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q_ = to_POINT(p)
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lib.point_double(curve.ptr, q_)
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q_ = from_POINT(q_)
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assert q_ == (q.x(), q.y())
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def test_point_to_jacobian(curve, r):
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p = r.randpoint(curve)
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jp = JACOBIAN()
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lib.curve_to_jacobian(to_POINT(p), jp, int2bn(curve.p))
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jx, jy, jz = from_JACOBIAN(jp)
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assert jx == (p.x() * jz ** 2) % curve.p
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assert jy == (p.y() * jz ** 3) % curve.p
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q = POINT()
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lib.jacobian_to_curve(jp, q, int2bn(curve.p))
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q = from_POINT(q)
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assert q == (p.x(), p.y())
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def test_cond_negate(curve, r):
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x = r.randrange(0, curve.p)
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a = int2bn(x)
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lib.conditional_negate(0, a, int2bn(curve.p))
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assert bn2int(a) == x
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lib.conditional_negate(-1, a, int2bn(curve.p))
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assert bn2int(a) == curve.p - x
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def test_jacobian_add(curve, r):
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p1 = r.randpoint(curve)
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p2 = r.randpoint(curve)
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prime = int2bn(curve.p)
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q = POINT()
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jp2 = JACOBIAN()
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lib.curve_to_jacobian(to_POINT(p2), jp2, prime)
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lib.point_jacobian_add(to_POINT(p1), jp2, prime)
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lib.jacobian_to_curve(jp2, q, prime)
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q = from_POINT(q)
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p_ = p1 + p2
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assert (p_.x(), p_.y()) == q
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def test_jacobian_double(curve, r):
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p = r.randpoint(curve)
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p2 = p.double()
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prime = int2bn(curve.p)
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q = POINT()
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jp = JACOBIAN()
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lib.curve_to_jacobian(to_POINT(p), jp, prime)
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lib.point_jacobian_double(jp, curve.ptr)
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lib.jacobian_to_curve(jp, q, prime)
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q = from_POINT(q)
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assert (p2.x(), p2.y()) == q
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def sigdecode(sig, _):
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return map(bytes2num, [sig[:32], sig[32:]])
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def test_sign(curve, r):
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priv = r.randbytes(32)
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digest = r.randbytes(32)
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sig = r.randbytes(64)
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lib.ecdsa_sign_digest(curve.ptr, priv, digest, sig, c.c_void_p(0))
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exp = bytes2num(priv)
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sk = ecdsa.SigningKey.from_secret_exponent(exp, curve,
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hashfunc=hashlib.sha256)
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vk = sk.get_verifying_key()
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sig_ref = sk.sign_digest_deterministic(digest, hashfunc=hashlib.sha256)
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assert binascii.hexlify(sig) == binascii.hexlify(sig_ref)
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assert vk.verify_digest(sig, digest, sigdecode)
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