Hush lite wallet
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518 lines
11 KiB
518 lines
11 KiB
#include <string.h>
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#include "private/common.h"
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#include "utils.h"
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/*
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h = 0
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*/
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static inline void
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fe25519_0(fe25519 h)
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{
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memset(&h[0], 0, 5 * sizeof h[0]);
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}
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/*
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h = 1
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*/
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static inline void
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fe25519_1(fe25519 h)
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{
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h[0] = 1;
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memset(&h[1], 0, 4 * sizeof h[0]);
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}
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/*
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h = f + g
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Can overlap h with f or g.
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*/
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static inline void
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fe25519_add(fe25519 h, const fe25519 f, const fe25519 g)
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{
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uint64_t h0 = f[0] + g[0];
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uint64_t h1 = f[1] + g[1];
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uint64_t h2 = f[2] + g[2];
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uint64_t h3 = f[3] + g[3];
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uint64_t h4 = f[4] + g[4];
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h[0] = h0;
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h[1] = h1;
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h[2] = h2;
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h[3] = h3;
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h[4] = h4;
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}
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/*
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h = f - g
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*/
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static void
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fe25519_sub(fe25519 h, const fe25519 f, const fe25519 g)
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{
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const uint64_t mask = 0x7ffffffffffffULL;
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uint64_t h0, h1, h2, h3, h4;
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h0 = g[0];
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h1 = g[1];
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h2 = g[2];
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h3 = g[3];
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h4 = g[4];
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h1 += h0 >> 51;
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h0 &= mask;
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h2 += h1 >> 51;
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h1 &= mask;
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h3 += h2 >> 51;
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h2 &= mask;
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h4 += h3 >> 51;
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h3 &= mask;
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h0 += 19ULL * (h4 >> 51);
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h4 &= mask;
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h0 = (f[0] + 0xfffffffffffdaULL) - h0;
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h1 = (f[1] + 0xffffffffffffeULL) - h1;
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h2 = (f[2] + 0xffffffffffffeULL) - h2;
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h3 = (f[3] + 0xffffffffffffeULL) - h3;
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h4 = (f[4] + 0xffffffffffffeULL) - h4;
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h[0] = h0;
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h[1] = h1;
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h[2] = h2;
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h[3] = h3;
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h[4] = h4;
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}
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/*
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h = -f
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*/
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static inline void
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fe25519_neg(fe25519 h, const fe25519 f)
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{
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fe25519 zero;
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fe25519_0(zero);
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fe25519_sub(h, zero, f);
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}
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/*
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Replace (f,g) with (g,g) if b == 1;
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replace (f,g) with (f,g) if b == 0.
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*
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Preconditions: b in {0,1}.
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*/
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static void
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fe25519_cmov(fe25519 f, const fe25519 g, unsigned int b)
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{
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const uint64_t mask = (uint64_t) (-(int64_t) b);
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uint64_t f0 = f[0];
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uint64_t f1 = f[1];
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uint64_t f2 = f[2];
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uint64_t f3 = f[3];
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uint64_t f4 = f[4];
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uint64_t x0 = f0 ^ g[0];
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uint64_t x1 = f1 ^ g[1];
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uint64_t x2 = f2 ^ g[2];
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uint64_t x3 = f3 ^ g[3];
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uint64_t x4 = f4 ^ g[4];
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x0 &= mask;
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x1 &= mask;
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x2 &= mask;
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x3 &= mask;
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x4 &= mask;
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f[0] = f0 ^ x0;
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f[1] = f1 ^ x1;
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f[2] = f2 ^ x2;
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f[3] = f3 ^ x3;
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f[4] = f4 ^ x4;
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}
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/*
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Replace (f,g) with (g,f) if b == 1;
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replace (f,g) with (f,g) if b == 0.
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Preconditions: b in {0,1}.
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*/
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static void
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fe25519_cswap(fe25519 f, fe25519 g, unsigned int b)
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{
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const uint64_t mask = (uint64_t) (-(int64_t) b);
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uint64_t f0 = f[0];
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uint64_t f1 = f[1];
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uint64_t f2 = f[2];
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uint64_t f3 = f[3];
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uint64_t f4 = f[4];
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uint64_t g0 = g[0];
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uint64_t g1 = g[1];
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uint64_t g2 = g[2];
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uint64_t g3 = g[3];
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uint64_t g4 = g[4];
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uint64_t x0 = f0 ^ g0;
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uint64_t x1 = f1 ^ g1;
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uint64_t x2 = f2 ^ g2;
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uint64_t x3 = f3 ^ g3;
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uint64_t x4 = f4 ^ g4;
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x0 &= mask;
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x1 &= mask;
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x2 &= mask;
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x3 &= mask;
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x4 &= mask;
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f[0] = f0 ^ x0;
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f[1] = f1 ^ x1;
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f[2] = f2 ^ x2;
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f[3] = f3 ^ x3;
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f[4] = f4 ^ x4;
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g[0] = g0 ^ x0;
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g[1] = g1 ^ x1;
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g[2] = g2 ^ x2;
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g[3] = g3 ^ x3;
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g[4] = g4 ^ x4;
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}
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/*
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h = f
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*/
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static inline void
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fe25519_copy(fe25519 h, const fe25519 f)
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{
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uint64_t f0 = f[0];
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uint64_t f1 = f[1];
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uint64_t f2 = f[2];
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uint64_t f3 = f[3];
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uint64_t f4 = f[4];
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h[0] = f0;
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h[1] = f1;
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h[2] = f2;
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h[3] = f3;
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h[4] = f4;
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}
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/*
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return 1 if f is in {1,3,5,...,q-2}
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return 0 if f is in {0,2,4,...,q-1}
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*/
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static inline int
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fe25519_isnegative(const fe25519 f)
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{
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unsigned char s[32];
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fe25519_tobytes(s, f);
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return s[0] & 1;
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}
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/*
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return 1 if f == 0
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return 0 if f != 0
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*/
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static inline int
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fe25519_iszero(const fe25519 f)
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{
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unsigned char s[32];
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fe25519_tobytes(s, f);
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return sodium_is_zero(s, 32);
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}
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/*
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h = f * g
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Can overlap h with f or g.
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*/
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static void
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fe25519_mul(fe25519 h, const fe25519 f, const fe25519 g)
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{
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const uint64_t mask = 0x7ffffffffffffULL;
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uint128_t r0, r1, r2, r3, r4, carry;
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uint64_t f0, f1, f2, f3, f4;
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uint64_t f1_19, f2_19, f3_19, f4_19;
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uint64_t g0, g1, g2, g3, g4;
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uint64_t r00, r01, r02, r03, r04;
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f0 = f[0];
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f1 = f[1];
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f2 = f[2];
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f3 = f[3];
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f4 = f[4];
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g0 = g[0];
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g1 = g[1];
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g2 = g[2];
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g3 = g[3];
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g4 = g[4];
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f1_19 = 19ULL * f1;
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f2_19 = 19ULL * f2;
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f3_19 = 19ULL * f3;
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f4_19 = 19ULL * f4;
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r0 = ((uint128_t) f0 ) * ((uint128_t) g0);
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r0 += ((uint128_t) f1_19) * ((uint128_t) g4);
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r0 += ((uint128_t) f2_19) * ((uint128_t) g3);
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r0 += ((uint128_t) f3_19) * ((uint128_t) g2);
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r0 += ((uint128_t) f4_19) * ((uint128_t) g1);
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r1 = ((uint128_t) f0 ) * ((uint128_t) g1);
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r1 += ((uint128_t) f1 ) * ((uint128_t) g0);
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r1 += ((uint128_t) f2_19) * ((uint128_t) g4);
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r1 += ((uint128_t) f3_19) * ((uint128_t) g3);
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r1 += ((uint128_t) f4_19) * ((uint128_t) g2);
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r2 = ((uint128_t) f0 ) * ((uint128_t) g2);
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r2 += ((uint128_t) f1 ) * ((uint128_t) g1);
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r2 += ((uint128_t) f2 ) * ((uint128_t) g0);
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r2 += ((uint128_t) f3_19) * ((uint128_t) g4);
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r2 += ((uint128_t) f4_19) * ((uint128_t) g3);
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r3 = ((uint128_t) f0 ) * ((uint128_t) g3);
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r3 += ((uint128_t) f1 ) * ((uint128_t) g2);
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r3 += ((uint128_t) f2 ) * ((uint128_t) g1);
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r3 += ((uint128_t) f3 ) * ((uint128_t) g0);
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r3 += ((uint128_t) f4_19) * ((uint128_t) g4);
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r4 = ((uint128_t) f0 ) * ((uint128_t) g4);
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r4 += ((uint128_t) f1 ) * ((uint128_t) g3);
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r4 += ((uint128_t) f2 ) * ((uint128_t) g2);
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r4 += ((uint128_t) f3 ) * ((uint128_t) g1);
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r4 += ((uint128_t) f4 ) * ((uint128_t) g0);
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r00 = ((uint64_t) r0) & mask;
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carry = r0 >> 51;
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r1 += carry;
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r01 = ((uint64_t) r1) & mask;
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carry = r1 >> 51;
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r2 += carry;
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r02 = ((uint64_t) r2) & mask;
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carry = r2 >> 51;
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r3 += carry;
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r03 = ((uint64_t) r3) & mask;
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carry = r3 >> 51;
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r4 += carry;
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r04 = ((uint64_t) r4) & mask;
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carry = r4 >> 51;
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r00 += 19ULL * (uint64_t) carry;
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carry = r00 >> 51;
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r00 &= mask;
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r01 += (uint64_t) carry;
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carry = r01 >> 51;
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r01 &= mask;
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r02 += (uint64_t) carry;
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h[0] = r00;
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h[1] = r01;
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h[2] = r02;
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h[3] = r03;
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h[4] = r04;
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}
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/*
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h = f * f
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Can overlap h with f.
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*/
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static void
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fe25519_sq(fe25519 h, const fe25519 f)
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{
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const uint64_t mask = 0x7ffffffffffffULL;
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uint128_t r0, r1, r2, r3, r4, carry;
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uint64_t f0, f1, f2, f3, f4;
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uint64_t f0_2, f1_2, f1_38, f2_38, f3_38, f3_19, f4_19;
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uint64_t r00, r01, r02, r03, r04;
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f0 = f[0];
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f1 = f[1];
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f2 = f[2];
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f3 = f[3];
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f4 = f[4];
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f0_2 = f0 << 1;
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f1_2 = f1 << 1;
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f1_38 = 38ULL * f1;
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f2_38 = 38ULL * f2;
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f3_38 = 38ULL * f3;
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f3_19 = 19ULL * f3;
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f4_19 = 19ULL * f4;
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r0 = ((uint128_t) f0 ) * ((uint128_t) f0);
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r0 += ((uint128_t) f1_38) * ((uint128_t) f4);
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r0 += ((uint128_t) f2_38) * ((uint128_t) f3);
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r1 = ((uint128_t) f0_2 ) * ((uint128_t) f1);
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r1 += ((uint128_t) f2_38) * ((uint128_t) f4);
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r1 += ((uint128_t) f3_19) * ((uint128_t) f3);
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r2 = ((uint128_t) f0_2 ) * ((uint128_t) f2);
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r2 += ((uint128_t) f1 ) * ((uint128_t) f1);
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r2 += ((uint128_t) f3_38) * ((uint128_t) f4);
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r3 = ((uint128_t) f0_2 ) * ((uint128_t) f3);
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r3 += ((uint128_t) f1_2 ) * ((uint128_t) f2);
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r3 += ((uint128_t) f4_19) * ((uint128_t) f4);
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r4 = ((uint128_t) f0_2 ) * ((uint128_t) f4);
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r4 += ((uint128_t) f1_2 ) * ((uint128_t) f3);
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r4 += ((uint128_t) f2 ) * ((uint128_t) f2);
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r00 = ((uint64_t) r0) & mask;
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carry = r0 >> 51;
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r1 += carry;
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r01 = ((uint64_t) r1) & mask;
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carry = r1 >> 51;
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r2 += carry;
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r02 = ((uint64_t) r2) & mask;
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carry = r2 >> 51;
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r3 += carry;
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r03 = ((uint64_t) r3) & mask;
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carry = r3 >> 51;
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r4 += carry;
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r04 = ((uint64_t) r4) & mask;
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carry = r4 >> 51;
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r00 += 19ULL * (uint64_t) carry;
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carry = r00 >> 51;
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r00 &= mask;
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r01 += (uint64_t) carry;
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carry = r01 >> 51;
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r01 &= mask;
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r02 += (uint64_t) carry;
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h[0] = r00;
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h[1] = r01;
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h[2] = r02;
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h[3] = r03;
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h[4] = r04;
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}
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/*
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h = 2 * f * f
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Can overlap h with f.
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*/
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static void
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fe25519_sq2(fe25519 h, const fe25519 f)
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{
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const uint64_t mask = 0x7ffffffffffffULL;
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uint128_t r0, r1, r2, r3, r4, carry;
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uint64_t f0, f1, f2, f3, f4;
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uint64_t f0_2, f1_2, f1_38, f2_38, f3_38, f3_19, f4_19;
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uint64_t r00, r01, r02, r03, r04;
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f0 = f[0];
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f1 = f[1];
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f2 = f[2];
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f3 = f[3];
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f4 = f[4];
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f0_2 = f0 << 1;
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f1_2 = f1 << 1;
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f1_38 = 38ULL * f1;
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f2_38 = 38ULL * f2;
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f3_38 = 38ULL * f3;
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f3_19 = 19ULL * f3;
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f4_19 = 19ULL * f4;
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r0 = ((uint128_t) f0 ) * ((uint128_t) f0);
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r0 += ((uint128_t) f1_38) * ((uint128_t) f4);
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r0 += ((uint128_t) f2_38) * ((uint128_t) f3);
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r1 = ((uint128_t) f0_2 ) * ((uint128_t) f1);
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r1 += ((uint128_t) f2_38) * ((uint128_t) f4);
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r1 += ((uint128_t) f3_19) * ((uint128_t) f3);
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r2 = ((uint128_t) f0_2 ) * ((uint128_t) f2);
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r2 += ((uint128_t) f1 ) * ((uint128_t) f1);
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r2 += ((uint128_t) f3_38) * ((uint128_t) f4);
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r3 = ((uint128_t) f0_2 ) * ((uint128_t) f3);
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r3 += ((uint128_t) f1_2 ) * ((uint128_t) f2);
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r3 += ((uint128_t) f4_19) * ((uint128_t) f4);
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r4 = ((uint128_t) f0_2 ) * ((uint128_t) f4);
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r4 += ((uint128_t) f1_2 ) * ((uint128_t) f3);
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r4 += ((uint128_t) f2 ) * ((uint128_t) f2);
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r0 <<= 1;
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r1 <<= 1;
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r2 <<= 1;
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r3 <<= 1;
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r4 <<= 1;
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r00 = ((uint64_t) r0) & mask;
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carry = r0 >> 51;
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r1 += carry;
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r01 = ((uint64_t) r1) & mask;
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carry = r1 >> 51;
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r2 += carry;
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r02 = ((uint64_t) r2) & mask;
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carry = r2 >> 51;
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r3 += carry;
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r03 = ((uint64_t) r3) & mask;
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carry = r3 >> 51;
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r4 += carry;
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r04 = ((uint64_t) r4) & mask;
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carry = r4 >> 51;
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r00 += 19ULL * (uint64_t) carry;
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carry = r00 >> 51;
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r00 &= mask;
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r01 += (uint64_t) carry;
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carry = r01 >> 51;
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r01 &= mask;
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r02 += (uint64_t) carry;
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h[0] = r00;
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h[1] = r01;
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h[2] = r02;
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h[3] = r03;
|
|
h[4] = r04;
|
|
}
|
|
|
|
static void
|
|
fe25519_scalar_product(fe25519 h, const fe25519 f, uint32_t n)
|
|
{
|
|
const uint64_t mask = 0x7ffffffffffffULL;
|
|
uint128_t a;
|
|
uint128_t sn = (uint128_t) n;
|
|
uint64_t h0, h1, h2, h3, h4;
|
|
|
|
a = f[0] * sn;
|
|
h0 = ((uint64_t) a) & mask;
|
|
a = f[1] * sn + ((uint64_t) (a >> 51));
|
|
h1 = ((uint64_t) a) & mask;
|
|
a = f[2] * sn + ((uint64_t) (a >> 51));
|
|
h2 = ((uint64_t) a) & mask;
|
|
a = f[3] * sn + ((uint64_t) (a >> 51));
|
|
h3 = ((uint64_t) a) & mask;
|
|
a = f[4] * sn + ((uint64_t) (a >> 51));
|
|
h4 = ((uint64_t) a) & mask;
|
|
|
|
h0 += (a >> 51) * 19ULL;
|
|
|
|
h[0] = h0;
|
|
h[1] = h1;
|
|
h[2] = h2;
|
|
h[3] = h3;
|
|
h[4] = h4;
|
|
}
|
|
|