trezor-firmware/core/tests/test_trezor.crypto.curve.secp256k1.py

from common import *  # isort:skip

from trezor.crypto import random
from trezor.crypto.curve import secp256k1


class TestCryptoSecp256k1(unittest.TestCase):
    # vectors from https://crypto.stackexchange.com/questions/784/are-there-any-secp256k1-ecdsa-test-examples-available
    vectors = [
        (
            1,
            "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
        ),
        (
            2,
            "C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE51AE168FEA63DC339A3C58419466CEAEEF7F632653266D0E1236431A950CFE52A",
        ),
        (
            3,
            "F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9388F7B0F632DE8140FE337E62A37F3566500A99934C2231B6CB9FD7584B8E672",
        ),
        (
            4,
            "E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD1351ED993EA0D455B75642E2098EA51448D967AE33BFBDFE40CFE97BDC47739922",
        ),
        (
            5,
            "2F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4D8AC222636E5E3D6D4DBA9DDA6C9C426F788271BAB0D6840DCA87D3AA6AC62D6",
        ),
        (
            6,
            "FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A1460297556AE12777AACFBB620F3BE96017F45C560DE80F0F6518FE4A03C870C36B075F297",
        ),
        (
            7,
            "5CBDF0646E5DB4EAA398F365F2EA7A0E3D419B7E0330E39CE92BDDEDCAC4F9BC6AEBCA40BA255960A3178D6D861A54DBA813D0B813FDE7B5A5082628087264DA",
        ),
        (
            8,
            "2F01E5E15CCA351DAFF3843FB70F3C2F0A1BDD05E5AF888A67784EF3E10A2A015C4DA8A741539949293D082A132D13B4C2E213D6BA5B7617B5DA2CB76CBDE904",
        ),
        (
            9,
            "ACD484E2F0C7F65309AD178A9F559ABDE09796974C57E714C35F110DFC27CCBECC338921B0A7D9FD64380971763B61E9ADD888A4375F8E0F05CC262AC64F9C37",
        ),
        (
            10,
            "A0434D9E47F3C86235477C7B1AE6AE5D3442D49B1943C2B752A68E2A47E247C7893ABA425419BC27A3B6C7E693A24C696F794C2ED877A1593CBEE53B037368D7",
        ),
        (
            11,
            "774AE7F858A9411E5EF4246B70C65AAC5649980BE5C17891BBEC17895DA008CBD984A032EB6B5E190243DD56D7B7B365372DB1E2DFF9D6A8301D74C9C953C61B",
        ),
        (
            12,
            "D01115D548E7561B15C38F004D734633687CF4419620095BC5B0F47070AFE85AA9F34FFDC815E0D7A8B64537E17BD81579238C5DD9A86D526B051B13F4062327",
        ),
        (
            13,
            "F28773C2D975288BC7D1D205C3748651B075FBC6610E58CDDEEDDF8F19405AA80AB0902E8D880A89758212EB65CDAF473A1A06DA521FA91F29B5CB52DB03ED81",
        ),
        (
            14,
            "499FDF9E895E719CFD64E67F07D38E3226AA7B63678949E6E49B241A60E823E4CAC2F6C4B54E855190F044E4A7B3D464464279C27A3F95BCC65F40D403A13F5B",
        ),
        (
            15,
            "D7924D4F7D43EA965A465AE3095FF41131E5946F3C85F79E44ADBCF8E27E080E581E2872A86C72A683842EC228CC6DEFEA40AF2BD896D3A5C504DC9FF6A26B58",
        ),
        (
            16,
            "E60FCE93B59E9EC53011AABC21C23E97B2A31369B87A5AE9C44EE89E2A6DEC0AF7E3507399E595929DB99F34F57937101296891E44D23F0BE1F32CCE69616821",
        ),
        (
            17,
            "DEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A344211AB0694635168E997B0EAD2A93DAECED1F4A04A95C0F6CFB199F69E56EB77",
        ),
        (
            18,
            "5601570CB47F238D2B0286DB4A990FA0F3BA28D1A319F5E7CF55C2A2444DA7CCC136C1DC0CBEB930E9E298043589351D81D8E0BC736AE2A1F5192E5E8B061D58",
        ),
        (
            19,
            "2B4EA0A797A443D293EF5CFF444F4979F06ACFEBD7E86D277475656138385B6C85E89BC037945D93B343083B5A1C86131A01F60C50269763B570C854E5C09B7A",
        ),
        (
            20,
            "4CE119C96E2FA357200B559B2F7DD5A5F02D5290AFF74B03F3E471B273211C9712BA26DCB10EC1625DA61FA10A844C676162948271D96967450288EE9233DC3A",
        ),
        (
            112233445566778899,
            "A90CC3D3F3E146DAADFC74CA1372207CB4B725AE708CEF713A98EDD73D99EF295A79D6B289610C68BC3B47F3D72F9788A26A06868B4D8E433E1E2AD76FB7DC76",
        ),
        (
            112233445566778899112233445566778899,
            "E5A2636BCFD412EBF36EC45B19BFB68A1BC5F8632E678132B885F7DF99C5E9B3736C1CE161AE27B405CAFD2A7520370153C2C861AC51D6C1D5985D9606B45F39",
        ),
        (
            28948022309329048855892746252171976963209391069768726095651290785379540373584,
            "A6B594B38FB3E77C6EDF78161FADE2041F4E09FD8497DB776E546C41567FEB3C71444009192228730CD8237A490FEBA2AFE3D27D7CC1136BC97E439D13330D55",
        ),
        (
            57896044618658097711785492504343953926418782139537452191302581570759080747168,
            "00000000000000000000003B78CE563F89A0ED9414F5AA28AD0D96D6795F9C633F3979BF72AE8202983DC989AEC7F2FF2ED91BDD69CE02FC0700CA100E59DDF3",
        ),
        (
            86844066927987146567678238756515930889628173209306178286953872356138621120752,
            "E24CE4BEEE294AA6350FAA67512B99D388693AE4E7F53D19882A6EA169FC1CE18B71E83545FC2B5872589F99D948C03108D36797C4DE363EBD3FF6A9E1A95B10",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494317,
            "4CE119C96E2FA357200B559B2F7DD5A5F02D5290AFF74B03F3E471B273211C97ED45D9234EF13E9DA259E05EF57BB3989E9D6B7D8E269698BAFD77106DCC1FF5",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494318,
            "2B4EA0A797A443D293EF5CFF444F4979F06ACFEBD7E86D277475656138385B6C7A17643FC86BA26C4CBCF7C4A5E379ECE5FE09F3AFD9689C4A8F37AA1A3F60B5",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494319,
            "5601570CB47F238D2B0286DB4A990FA0F3BA28D1A319F5E7CF55C2A2444DA7CC3EC93E23F34146CF161D67FBCA76CAE27E271F438C951D5E0AE6D1A074F9DED7",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494320,
            "DEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34BDEE54F96B9CAE9716684F152D56C251312E0B5FB56A3F09304E660861A910B8",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494321,
            "E60FCE93B59E9EC53011AABC21C23E97B2A31369B87A5AE9C44EE89E2A6DEC0A081CAF8C661A6A6D624660CB0A86C8EFED6976E1BB2DC0F41E0CD330969E940E",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494322,
            "D7924D4F7D43EA965A465AE3095FF41131E5946F3C85F79E44ADBCF8E27E080EA7E1D78D57938D597C7BD13DD733921015BF50D427692C5A3AFB235F095D90D7",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494323,
            "499FDF9E895E719CFD64E67F07D38E3226AA7B63678949E6E49B241A60E823E4353D093B4AB17AAE6F0FBB1B584C2B9BB9BD863D85C06A4339A0BF2AFC5EBCD4",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494324,
            "F28773C2D975288BC7D1D205C3748651B075FBC6610E58CDDEEDDF8F19405AA8F54F6FD17277F5768A7DED149A3250B8C5E5F925ADE056E0D64A34AC24FC0EAE",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494325,
            "D01115D548E7561B15C38F004D734633687CF4419620095BC5B0F47070AFE85A560CB00237EA1F285749BAC81E8427EA86DC73A2265792AD94FAE4EB0BF9D908",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494326,
            "774AE7F858A9411E5EF4246B70C65AAC5649980BE5C17891BBEC17895DA008CB267B5FCD1494A1E6FDBC22A928484C9AC8D24E1D20062957CFE28B3536AC3614",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494327,
            "A0434D9E47F3C86235477C7B1AE6AE5D3442D49B1943C2B752A68E2A47E247C776C545BDABE643D85C4938196C5DB3969086B3D127885EA6C3411AC3FC8C9358",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494328,
            "ACD484E2F0C7F65309AD178A9F559ABDE09796974C57E714C35F110DFC27CCBE33CC76DE4F5826029BC7F68E89C49E165227775BC8A071F0FA33D9D439B05FF8",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494329,
            "2F01E5E15CCA351DAFF3843FB70F3C2F0A1BDD05E5AF888A67784EF3E10A2A01A3B25758BEAC66B6D6C2F7D5ECD2EC4B3D1DEC2945A489E84A25D3479342132B",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494330,
            "5CBDF0646E5DB4EAA398F365F2EA7A0E3D419B7E0330E39CE92BDDEDCAC4F9BC951435BF45DAA69F5CE8729279E5AB2457EC2F47EC02184A5AF7D9D6F78D9755",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494331,
            "FFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A146029755651ED8885530449DF0C4169FE80BA3A9F217F0F09AE701B5FC378F3C84F8A0998",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494332,
            "2F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE42753DDD9C91A1C292B24562259363BD90877D8E454F297BF235782C459539959",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494333,
            "E493DBF1C10D80F3581E4904930B1404CC6C13900EE0758474FA94ABE8C4CD13AE1266C15F2BAA48A9BD1DF6715AEBB7269851CC404201BF30168422B88C630D",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494334,
            "F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9C77084F09CD217EBF01CC819D5C80CA99AFF5666CB3DDCE4934602897B4715BD",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494335,
            "C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5E51E970159C23CC65C3A7BE6B99315110809CD9ACD992F1EDC9BCE55AF301705",
        ),
        (
            115792089237316195423570985008687907852837564279074904382605163141518161494336,
            "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798B7C52588D95C3B9AA25B0403F1EEF75702E84BB7597AABE663B82F6F04EF2777",
        ),
    ]

    def test_generate_secret(self):
        for _ in range(100):
            sk = secp256k1.generate_secret()
            self.assertTrue(len(sk) == 32)
            self.assertTrue(sk != b"\x00" * 32)
            self.assertTrue(
                sk
                < b"\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFE\xBA\xAE\xDC\xE6\xAF\x48\xA0\x3B\xBF\xD2\x5E\x8C\xD0\x36\x41\x41"
            )

    def test_publickey(self):
        for sk, pk in self.vectors:
            sk = hex(sk)[2:]
            if len(sk) < 64:
                sk = "0" * (64 - len(sk)) + sk
            pk = pk.lower()
            pk65 = hexlify(
                secp256k1.publickey(unhexlify(sk), False)
            ).decode()  # uncompressed
            self.assertEqual(str(pk65), "04" + pk)
            pk33 = hexlify(secp256k1.publickey(unhexlify(sk))).decode()
            if pk[-1] in "02468ace":
                self.assertEqual(pk33, "02" + pk[:64])
            else:
                self.assertEqual(pk33, "03" + pk[:64])

    def test_sign_verify_min_max(self):
        sk = secp256k1.generate_secret()
        pk = secp256k1.publickey(sk)

        dig = bytes([1] + [0] * 31)
        sig = secp256k1.sign(sk, dig)
        self.assertTrue(secp256k1.verify(pk, sig, dig))

        dig = bytes([0] * 31 + [1])
        sig = secp256k1.sign(sk, dig)
        self.assertTrue(secp256k1.verify(pk, sig, dig))

        dig = bytes([0xFF] * 32)
        sig = secp256k1.sign(sk, dig)
        self.assertTrue(secp256k1.verify(pk, sig, dig))

    def test_sign_verify_random(self):
        for _ in range(100):
            sk = secp256k1.generate_secret()
            pk = secp256k1.publickey(sk)
            dig = random.bytes(32)
            sig = secp256k1.sign(sk, dig)
            self.assertTrue(secp256k1.verify(pk, sig, dig))

    def test_verify_recover(self):
        for compressed in [False, True]:
            for _ in range(100):
                sk = secp256k1.generate_secret()
                pk = secp256k1.publickey(sk, compressed)
                dig = random.bytes(32)
                sig = secp256k1.sign(sk, dig, compressed)
                pk2 = secp256k1.verify_recover(sig, dig)
                self.assertEqual(pk, pk2)

    def test_ecdh(self):
        for _ in range(100):
            sk1 = secp256k1.generate_secret()
            pk1 = secp256k1.publickey(sk1, False)
            sk2 = secp256k1.generate_secret()
            pk2 = secp256k1.publickey(sk2, True)
            self.assertEqual(secp256k1.multiply(sk1, pk2), secp256k1.multiply(sk2, pk1))

        (sk, pk) = self.vectors[0]
        sk = hex(sk)[2:]
        if len(sk) < 64:
            sk = "0" * (64 - len(sk)) + sk
        sk = unhexlify(sk)
        pk = pk.lower()
        pk33 = secp256k1.publickey(sk)
        pk65 = secp256k1.publickey(sk, False)

        fixed_vector_hex = b"0479be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8"
        fixed_vector1 = secp256k1.multiply(sk, pk65)
        fixed_vector2 = secp256k1.multiply(sk, pk33)
        self.assertEqual(fixed_vector1, fixed_vector2)
        self.assertEqual(hexlify(fixed_vector1), fixed_vector_hex)


if __name__ == "__main__":
    unittest.main()