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ec: implement P521 signature verification
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/* Copyright 2016 Brian Smith. | ||
* | ||
* Permission to use, copy, modify, and/or distribute this software for any | ||
* purpose with or without fee is hereby granted, provided that the above | ||
* copyright notice and this permission notice appear in all copies. | ||
* | ||
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHORS DISCLAIM ALL WARRANTIES | ||
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY | ||
* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION | ||
* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN | ||
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ | ||
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#include "../../limbs/limbs.h" | ||
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#include "../bn/internal.h" | ||
#include "../../internal.h" | ||
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#include "../../limbs/limbs.inl" | ||
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#define P521_LIMBS ((521u + LIMB_BITS - 1u)/ LIMB_BITS) | ||
#if defined(OPENSSL_64_BIT) | ||
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static const BN_ULONG Q[P521_LIMBS] = { | ||
0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, | ||
0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, | ||
0xffffffffffffffff, 0xffffffffffffffff, 0x00000000000001ff | ||
}; | ||
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static const BN_ULONG N[P521_LIMBS] = { | ||
0xbb6fb71e91386409, 0x3bb5c9b8899c47ae, 0x7fcc0148f709a5d0, | ||
0x51868783bf2f966b, 0xfffffffffffffffa, 0xffffffffffffffff, | ||
0xffffffffffffffff, 0xffffffffffffffff, 0x00000000000001ff | ||
}; | ||
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static const BN_ULONG ONE[P521_LIMBS] = { | ||
0x0080000000000000, 0x0000000000000000, 0x0000000000000000, | ||
0x0000000000000000, 0x0000000000000000, 0x0000000000000000, | ||
0x0000000000000000, 0x0000000000000000, 0x0000000000000000 | ||
}; | ||
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#elif defined(OPENSSL_32_BIT) | ||
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static const BN_ULONG Q[P521_LIMBS] = { | ||
0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, | ||
0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, | ||
0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x000001ff | ||
}; | ||
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static const BN_ULONG N[P521_LIMBS] = { | ||
0x91386409, 0xbb6fb71e, 0x899c47ae, 0x3bb5c9b8, 0xf709a5d0, 0x7fcc0148, | ||
0xbf2f966b, 0x51868783, 0xfffffffa, 0xffffffff, 0xffffffff, 0xffffffff, | ||
0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x000001ff | ||
}; | ||
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static const BN_ULONG ONE[P521_LIMBS] = { | ||
0x00800000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, | ||
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, | ||
0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000 | ||
}; | ||
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#else | ||
#error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT" | ||
#endif | ||
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/* This is just 2**520 */ | ||
static const BN_ULONG Q_PLUS_1_SHR_1[P521_LIMBS] = { | ||
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000), | ||
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000), | ||
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000), | ||
TOBN(0x00000000, 0x00000000), TOBN(0x00000000, 0x00000000), | ||
TOBN(0x00000000, 0x00000100), | ||
}; | ||
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static const BN_ULONG Q_N0[] = { | ||
BN_MONT_CTX_N0(0x0, 0x1) | ||
}; | ||
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/* XXX: MSVC for x86 warns when it fails to inline these functions it should | ||
* probably inline. */ | ||
#if defined(_MSC_VER) && !defined(__clang__) && defined(OPENSSL_X86) | ||
#define INLINE_IF_POSSIBLE __forceinline | ||
#else | ||
#define INLINE_IF_POSSIBLE inline | ||
#endif | ||
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#define BITS 521 | ||
/* Window values that are Ok for p521 (look at `ecp_nistz.h`): 4 */ | ||
#define W_BITS 4 | ||
#define FE_LIMBS P521_LIMBS | ||
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#include "ecp_nistz.inl" | ||
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void p521_elem_sub(Elem r, const Elem a, const Elem b) { | ||
elem_sub(r, a, b); | ||
} | ||
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void p521_elem_div_by_2(Elem r, const Elem a) { | ||
elem_div_by_2(r, a); | ||
} | ||
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void p521_elem_mul_mont(Elem r, const Elem a, const Elem b) { | ||
elem_mul_mont(r, a, b); | ||
} | ||
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void p521_elem_neg(Elem r, const Elem a) { | ||
elem_neg(r, a); | ||
} | ||
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void p521_scalar_mul_mont(ScalarMont r, const ScalarMont a, | ||
const ScalarMont b) { | ||
static const BN_ULONG N_N0[] = { | ||
BN_MONT_CTX_N0(0x1d2f5ccd, 0x79a995c7) | ||
}; | ||
/* XXX: Inefficient. TODO: Add dedicated multiplication routine. */ | ||
bn_mul_mont(r, a, b, N, N_N0, FE_LIMBS); | ||
} |
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