diff options
Diffstat (limited to 'src/secp256k1/src/ecmult_impl.h')
-rw-r--r-- | src/secp256k1/src/ecmult_impl.h | 144 |
1 files changed, 92 insertions, 52 deletions
diff --git a/src/secp256k1/src/ecmult_impl.h b/src/secp256k1/src/ecmult_impl.h index 345cfae733..ece0b0a459 100644 --- a/src/secp256k1/src/ecmult_impl.h +++ b/src/secp256k1/src/ecmult_impl.h @@ -37,22 +37,31 @@ * G is constant, so it only needs to be done once in advance. */ static void secp256k1_ecmult_table_precomp_gej_var(secp256k1_gej_t *pre, const secp256k1_gej_t *a, int w) { + secp256k1_gej_t d; + int i; pre[0] = *a; - secp256k1_gej_t d; secp256k1_gej_double_var(&d, &pre[0]); - for (int i=1; i<(1 << (w-2)); i++) + secp256k1_gej_double_var(&d, &pre[0]); + for (i = 1; i < (1 << (w-2)); i++) secp256k1_gej_add_var(&pre[i], &d, &pre[i-1]); } -static void secp256k1_ecmult_table_precomp_ge_var(secp256k1_ge_t *pre, const secp256k1_gej_t *a, int w) { +static void secp256k1_ecmult_table_precomp_ge_storage_var(secp256k1_ge_storage_t *pre, const secp256k1_gej_t *a, int w) { + secp256k1_gej_t d; + int i; const int table_size = 1 << (w-2); secp256k1_gej_t *prej = checked_malloc(sizeof(secp256k1_gej_t) * table_size); + secp256k1_ge_t *prea = checked_malloc(sizeof(secp256k1_ge_t) * table_size); prej[0] = *a; - secp256k1_gej_t d; secp256k1_gej_double_var(&d, a); - for (int i=1; i<table_size; i++) { + secp256k1_gej_double_var(&d, a); + for (i = 1; i < table_size; i++) { secp256k1_gej_add_var(&prej[i], &d, &prej[i-1]); } - secp256k1_ge_set_all_gej_var(table_size, pre, prej); + secp256k1_ge_set_all_gej_var(table_size, prea, prej); + for (i = 0; i < table_size; i++) { + secp256k1_ge_to_storage(&pre[i], &prea[i]); + } free(prej); + free(prea); } /** The number of entries a table with precomputed multiples needs to have. */ @@ -60,51 +69,63 @@ static void secp256k1_ecmult_table_precomp_ge_var(secp256k1_ge_t *pre, const sec /** The following two macro retrieves a particular odd multiple from a table * of precomputed multiples. */ -#define ECMULT_TABLE_GET(r,pre,n,w,neg) do { \ +#define ECMULT_TABLE_GET_GEJ(r,pre,n,w) do { \ VERIFY_CHECK(((n) & 1) == 1); \ VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ if ((n) > 0) \ *(r) = (pre)[((n)-1)/2]; \ else \ - (neg)((r), &(pre)[(-(n)-1)/2]); \ + secp256k1_gej_neg((r), &(pre)[(-(n)-1)/2]); \ +} while(0) +#define ECMULT_TABLE_GET_GE_STORAGE(r,pre,n,w) do { \ + VERIFY_CHECK(((n) & 1) == 1); \ + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ + VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ + if ((n) > 0) \ + secp256k1_ge_from_storage((r), &(pre)[((n)-1)/2]); \ + else {\ + secp256k1_ge_from_storage((r), &(pre)[(-(n)-1)/2]); \ + secp256k1_ge_neg((r), (r)); \ + } \ } while(0) - -#define ECMULT_TABLE_GET_GEJ(r,pre,n,w) ECMULT_TABLE_GET((r),(pre),(n),(w),secp256k1_gej_neg) -#define ECMULT_TABLE_GET_GE(r,pre,n,w) ECMULT_TABLE_GET((r),(pre),(n),(w),secp256k1_ge_neg) typedef struct { /* For accelerating the computation of a*P + b*G: */ - secp256k1_ge_t pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; /* odd multiples of the generator */ + secp256k1_ge_storage_t pre_g[ECMULT_TABLE_SIZE(WINDOW_G)]; /* odd multiples of the generator */ #ifdef USE_ENDOMORPHISM - secp256k1_ge_t pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; /* odd multiples of 2^128*generator */ + secp256k1_ge_storage_t pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)]; /* odd multiples of 2^128*generator */ #endif } secp256k1_ecmult_consts_t; static const secp256k1_ecmult_consts_t *secp256k1_ecmult_consts = NULL; static void secp256k1_ecmult_start(void) { + secp256k1_gej_t gj; + secp256k1_ecmult_consts_t *ret; if (secp256k1_ecmult_consts != NULL) return; /* Allocate the precomputation table. */ - secp256k1_ecmult_consts_t *ret = (secp256k1_ecmult_consts_t*)checked_malloc(sizeof(secp256k1_ecmult_consts_t)); + ret = (secp256k1_ecmult_consts_t*)checked_malloc(sizeof(secp256k1_ecmult_consts_t)); /* get the generator */ - const secp256k1_ge_t *g = &secp256k1_ge_consts->g; - secp256k1_gej_t gj; secp256k1_gej_set_ge(&gj, g); + secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); -#ifdef USE_ENDOMORPHISM - /* calculate 2^128*generator */ - secp256k1_gej_t g_128j = gj; - for (int i=0; i<128; i++) - secp256k1_gej_double_var(&g_128j, &g_128j); -#endif /* precompute the tables with odd multiples */ - secp256k1_ecmult_table_precomp_ge_var(ret->pre_g, &gj, WINDOW_G); + secp256k1_ecmult_table_precomp_ge_storage_var(ret->pre_g, &gj, WINDOW_G); + #ifdef USE_ENDOMORPHISM - secp256k1_ecmult_table_precomp_ge_var(ret->pre_g_128, &g_128j, WINDOW_G); + { + secp256k1_gej_t g_128j; + int i; + /* calculate 2^128*generator */ + g_128j = gj; + for (i = 0; i < 128; i++) + secp256k1_gej_double_var(&g_128j, &g_128j); + secp256k1_ecmult_table_precomp_ge_storage_var(ret->pre_g_128, &g_128j, WINDOW_G); + } #endif /* Set the global pointer to the precomputation table. */ @@ -112,10 +133,11 @@ static void secp256k1_ecmult_start(void) { } static void secp256k1_ecmult_stop(void) { + secp256k1_ecmult_consts_t *c; if (secp256k1_ecmult_consts == NULL) return; - secp256k1_ecmult_consts_t *c = (secp256k1_ecmult_consts_t*)secp256k1_ecmult_consts; + c = (secp256k1_ecmult_consts_t*)secp256k1_ecmult_consts; secp256k1_ecmult_consts = NULL; free(c); } @@ -129,16 +151,18 @@ static void secp256k1_ecmult_stop(void) { */ static int secp256k1_ecmult_wnaf(int *wnaf, const secp256k1_scalar_t *a, int w) { secp256k1_scalar_t s = *a; - + int set_bits = 0; + int bit = 0; int sign = 1; + if (secp256k1_scalar_get_bits(&s, 255, 1)) { secp256k1_scalar_negate(&s, &s); sign = -1; } - int set_bits = 0; - int bit = 0; while (bit < 256) { + int now; + int word; if (secp256k1_scalar_get_bits(&s, bit, 1) == 0) { bit++; continue; @@ -146,11 +170,11 @@ static int secp256k1_ecmult_wnaf(int *wnaf, const secp256k1_scalar_t *a, int w) while (set_bits < bit) { wnaf[set_bits++] = 0; } - int now = w; + now = w; if (bit + now > 256) { now = 256 - bit; } - int word = secp256k1_scalar_get_bits_var(&s, bit, now); + word = secp256k1_scalar_get_bits_var(&s, bit, now); if (word & (1 << (w-1))) { secp256k1_scalar_add_bit(&s, bit + w); wnaf[set_bits++] = sign * (word - (1 << w)); @@ -163,58 +187,74 @@ static int secp256k1_ecmult_wnaf(int *wnaf, const secp256k1_scalar_t *a, int w) } static void secp256k1_ecmult(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_scalar_t *na, const secp256k1_scalar_t *ng) { + secp256k1_gej_t tmpj; + secp256k1_gej_t pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_ge_t tmpa; const secp256k1_ecmult_consts_t *c = secp256k1_ecmult_consts; - #ifdef USE_ENDOMORPHISM + secp256k1_gej_t pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; secp256k1_scalar_t na_1, na_lam; + /* Splitted G factors. */ + secp256k1_scalar_t ng_1, ng_128; + int wnaf_na_1[130]; + int wnaf_na_lam[130]; + int bits_na_1; + int bits_na_lam; + int wnaf_ng_1[129]; + int bits_ng_1; + int wnaf_ng_128[129]; + int bits_ng_128; +#else + int wnaf_na[256]; + int bits_na; + int wnaf_ng[257]; + int bits_ng; +#endif + int i; + int bits; + +#ifdef USE_ENDOMORPHISM /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */ secp256k1_scalar_split_lambda_var(&na_1, &na_lam, na); /* build wnaf representation for na_1 and na_lam. */ - int wnaf_na_1[130]; int bits_na_1 = secp256k1_ecmult_wnaf(wnaf_na_1, &na_1, WINDOW_A); - int wnaf_na_lam[130]; int bits_na_lam = secp256k1_ecmult_wnaf(wnaf_na_lam, &na_lam, WINDOW_A); + bits_na_1 = secp256k1_ecmult_wnaf(wnaf_na_1, &na_1, WINDOW_A); + bits_na_lam = secp256k1_ecmult_wnaf(wnaf_na_lam, &na_lam, WINDOW_A); VERIFY_CHECK(bits_na_1 <= 130); VERIFY_CHECK(bits_na_lam <= 130); - int bits = bits_na_1; + bits = bits_na_1; if (bits_na_lam > bits) bits = bits_na_lam; #else /* build wnaf representation for na. */ - int wnaf_na[256]; int bits_na = secp256k1_ecmult_wnaf(wnaf_na, na, WINDOW_A); - int bits = bits_na; + bits_na = secp256k1_ecmult_wnaf(wnaf_na, na, WINDOW_A); + bits = bits_na; #endif /* calculate odd multiples of a */ - secp256k1_gej_t pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; secp256k1_ecmult_table_precomp_gej_var(pre_a, a, WINDOW_A); #ifdef USE_ENDOMORPHISM - secp256k1_gej_t pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; - for (int i=0; i<ECMULT_TABLE_SIZE(WINDOW_A); i++) + for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) secp256k1_gej_mul_lambda(&pre_a_lam[i], &pre_a[i]); - /* Splitted G factors. */ - secp256k1_scalar_t ng_1, ng_128; - /* split ng into ng_1 and ng_128 (where gn = gn_1 + gn_128*2^128, and gn_1 and gn_128 are ~128 bit) */ secp256k1_scalar_split_128(&ng_1, &ng_128, ng); /* Build wnaf representation for ng_1 and ng_128 */ - int wnaf_ng_1[129]; int bits_ng_1 = secp256k1_ecmult_wnaf(wnaf_ng_1, &ng_1, WINDOW_G); - int wnaf_ng_128[129]; int bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, &ng_128, WINDOW_G); + bits_ng_1 = secp256k1_ecmult_wnaf(wnaf_ng_1, &ng_1, WINDOW_G); + bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, &ng_128, WINDOW_G); if (bits_ng_1 > bits) bits = bits_ng_1; if (bits_ng_128 > bits) bits = bits_ng_128; #else - int wnaf_ng[257]; int bits_ng = secp256k1_ecmult_wnaf(wnaf_ng, ng, WINDOW_G); + bits_ng = secp256k1_ecmult_wnaf(wnaf_ng, ng, WINDOW_G); if (bits_ng > bits) bits = bits_ng; #endif secp256k1_gej_set_infinity(r); - secp256k1_gej_t tmpj; - secp256k1_ge_t tmpa; - for (int i=bits-1; i>=0; i--) { - secp256k1_gej_double_var(r, r); + for (i = bits-1; i >= 0; i--) { int n; + secp256k1_gej_double_var(r, r); #ifdef USE_ENDOMORPHISM if (i < bits_na_1 && (n = wnaf_na_1[i])) { ECMULT_TABLE_GET_GEJ(&tmpj, pre_a, n, WINDOW_A); @@ -225,11 +265,11 @@ static void secp256k1_ecmult(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_add_var(r, r, &tmpj); } if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { - ECMULT_TABLE_GET_GE(&tmpa, c->pre_g, n, WINDOW_G); + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, c->pre_g, n, WINDOW_G); secp256k1_gej_add_ge_var(r, r, &tmpa); } if (i < bits_ng_128 && (n = wnaf_ng_128[i])) { - ECMULT_TABLE_GET_GE(&tmpa, c->pre_g_128, n, WINDOW_G); + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, c->pre_g_128, n, WINDOW_G); secp256k1_gej_add_ge_var(r, r, &tmpa); } #else @@ -238,7 +278,7 @@ static void secp256k1_ecmult(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_add_var(r, r, &tmpj); } if (i < bits_ng && (n = wnaf_ng[i])) { - ECMULT_TABLE_GET_GE(&tmpa, c->pre_g, n, WINDOW_G); + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, c->pre_g, n, WINDOW_G); secp256k1_gej_add_ge_var(r, r, &tmpa); } #endif |