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-rw-r--r--src/secp256k1/src/ecmult_impl.h144
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