borromean: move k-value trickery into borromean_sign

Reduces stack usage of rangeproof_sign by 1056 bytes, is a bit safer as
it doesn't require the caller of borromean_sign to know which indices are
going to be overwritten, is a net-negative code diff, and reduces
the amount of shared data between the borrom ean logic and its callers.

Author: apoelstra

src/modules/rangeproof/borromean.h

@@ -18,7 +18,7 @@ int secp256k1_borromean_verify(secp256k1_scalar *evalues, const unsigned char *e
  const secp256k1_gej *pubs, const size_t *rsizes, size_t nrings, const unsigned char *m, size_t mlen);
 
 int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
- unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *k, const secp256k1_scalar *sec,
+ unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *sec,
  const size_t *rsizes, const size_t *secidx, size_t nrings, const unsigned char *m, size_t mlen);
 
 #endif

src/modules/rangeproof/borromean_impl.h

@@ -109,7 +109,7 @@ int secp256k1_borromean_verify(secp256k1_scalar *evalues, const unsigned char *e
 }
 
 int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
- unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *k, const secp256k1_scalar *sec,
+ unsigned char *e0, secp256k1_scalar *s, const secp256k1_gej *pubs, const secp256k1_scalar *sec,
  const size_t *rsizes, const size_t *secidx, size_t nrings, const unsigned char *m, size_t mlen) {
     secp256k1_gej rgej;
     secp256k1_ge rge;
@@ -125,7 +125,6 @@ int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
     VERIFY_CHECK(e0 != NULL);
     VERIFY_CHECK(s != NULL);
     VERIFY_CHECK(pubs != NULL);
-    VERIFY_CHECK(k != NULL);
     VERIFY_CHECK(sec != NULL);
     VERIFY_CHECK(rsizes != NULL);
     VERIFY_CHECK(secidx != NULL);
@@ -135,7 +134,8 @@ int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
     count = 0;
     for (i = 0; i < nrings; i++) {
         VERIFY_CHECK(INT_MAX - count > rsizes[i]);
-        secp256k1_ecmult_gen(ecmult_gen_ctx, &rgej, &k[i]);
+        /* We have been provided an s value that we will just overwrite, so use it as a nonce */
+        secp256k1_ecmult_gen(ecmult_gen_ctx, &rgej, &s[count + secidx[i]]);
         secp256k1_ge_set_gej(&rge, &rgej);
         if (secp256k1_gej_is_infinity(&rgej)) {
             return 0;
@@ -165,6 +165,10 @@ int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
     secp256k1_sha256_finalize(&sha256_e0, e0);
     count = 0;
     for (i = 0; i < nrings; i++) {
+        /* We have been provided an s value that we will just overwrite, so use it as a nonce */
+        secp256k1_scalar k = s[count + secidx[i]];
+        secp256k1_scalar_clear(&s[count + secidx[i]]);
+
         VERIFY_CHECK(INT_MAX - count > rsizes[i]);
         secp256k1_borromean_hash(tmp, m, mlen, e0, 32, i, 0);
         secp256k1_scalar_set_b32(&ens, tmp, &overflow);
@@ -186,7 +190,7 @@ int secp256k1_borromean_sign(const secp256k1_ecmult_gen_context *ecmult_gen_ctx,
         }
         secp256k1_scalar_mul(&s[count + j], &ens, &sec[i]);
         secp256k1_scalar_negate(&s[count + j], &s[count + j]);
-        secp256k1_scalar_add(&s[count + j], &s[count + j], &k[i]);
+        secp256k1_scalar_add(&s[count + j], &s[count + j], &k);
         if (secp256k1_scalar_is_zero(&s[count + j])) {
             return 0;
         }

src/modules/rangeproof/rangeproof_impl.h

@@ -412,7 +412,6 @@ SECP256K1_INLINE static int secp256k1_rangeproof_sign_impl(const secp256k1_ecmul
     secp256k1_gej pubs[128];     /* Candidate digits for our proof, most inferred. */
     secp256k1_scalar s[128];     /* Signatures in our proof, most forged. */
     secp256k1_scalar sec[32];    /* Blinding factors for the correct digits. */
-    secp256k1_scalar k[32];      /* Nonces for our non-forged signatures. */
     secp256k1_sha256 sha256_m;
     unsigned char tmp[33];
     unsigned char *signs;          /* Location of sign flags in the proof. */
@@ -464,11 +463,6 @@ SECP256K1_INLINE static int secp256k1_rangeproof_sign_impl(const secp256k1_ecmul
     if (!secp256k1_rangeproof_genrand_sign(sec, s, blind, message, msg_len, &header, v, &genrand_rng)) {
         return 0;
     }
-    for (i = 0; i < header.n_rings; i++) {
-        /* Sign will overwrite the non-forged signature, move that random value into the nonce. */
-        k[i] = s[i * 4 + secidx[i]];
-        secp256k1_scalar_clear(&s[i * 4 + secidx[i]]);
-    }
     signs = &proof[len];
     /* We need one sign bit for each blinded value we send. */
     for (i = 0; i < (header.n_rings + 6) >> 3; i++) {
@@ -504,7 +498,7 @@ SECP256K1_INLINE static int secp256k1_rangeproof_sign_impl(const secp256k1_ecmul
         secp256k1_sha256_write(&sha256_m, extra_commit, extra_commit_len);
     }
     secp256k1_sha256_finalize(&sha256_m, tmp);
-    if (!secp256k1_borromean_sign(ecmult_gen_ctx, &proof[len], s, pubs, k, sec, header.rsizes, secidx, header.n_rings, tmp, 32)) {
+    if (!secp256k1_borromean_sign(ecmult_gen_ctx, &proof[len], s, pubs, sec, header.rsizes, secidx, header.n_rings, tmp, 32)) {
         return 0;
     }
     len += 32;

src/modules/rangeproof/tests_impl.h

@@ -322,7 +322,6 @@ static void test_borromean(void) {
     unsigned char e0[32];
     secp256k1_scalar s[64];
     secp256k1_gej pubs[64];
-    secp256k1_scalar k[8];
     secp256k1_scalar sec[8];
     secp256k1_ge ge;
     secp256k1_scalar one;
@@ -344,13 +343,9 @@ static void test_borromean(void) {
         rsizes[i] = 1 + (secp256k1_testrand32()&7);
         secidx[i] = secp256k1_testrand32() % rsizes[i];
         random_scalar_order(&sec[i]);
-        random_scalar_order(&k[i]);
         if(secp256k1_testrand32()&7) {
             sec[i] = one;
         }
-        if(secp256k1_testrand32()&7) {
-            k[i] = one;
-        }
         for (j = 0; j < rsizes[i]; j++) {
             random_scalar_order(&s[c + j]);
             if(secp256k1_testrand32()&7) {
@@ -365,7 +360,7 @@ static void test_borromean(void) {
         }
         c += rsizes[i];
     }
-    CHECK(secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, e0, s, pubs, k, sec, rsizes, secidx, nrings, m, 32));
+    CHECK(secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, e0, s, pubs, sec, rsizes, secidx, nrings, m, 32));
     CHECK(secp256k1_borromean_verify(NULL, e0, s, pubs, rsizes, nrings, m, 32));
     i = secp256k1_testrand32() % c;
     secp256k1_scalar_negate(&s[i],&s[i]);

src/modules/surjection/main_impl.h

@@ -275,7 +275,6 @@ int secp256k1_surjectionproof_initialize(const secp256k1_context* ctx, secp256k1
 int secp256k1_surjectionproof_generate(const secp256k1_context* ctx, secp256k1_surjectionproof* proof, const secp256k1_generator* ephemeral_input_tags, size_t n_ephemeral_input_tags, const secp256k1_generator* ephemeral_output_tag, size_t input_index, const unsigned char *input_blinding_key, const unsigned char *output_blinding_key) {
     secp256k1_scalar blinding_key;
     secp256k1_scalar tmps;
-    secp256k1_scalar nonce;
     int overflow = 0;
     size_t rsizes[1];    /* array needed for borromean sig API */
     size_t indices[1];   /* array needed for borromean sig API */
@@ -333,12 +332,7 @@ int secp256k1_surjectionproof_generate(const secp256k1_context* ctx, secp256k1_s
     if (secp256k1_surjection_genrand(borromean_s, n_used_pubkeys, &blinding_key) == 0) {
         return 0;
     }
-    /* Borromean sign will overwrite one of the s values we just generated, so use
-     * it as a nonce instead. This avoids extra random generation and also is an
-     * homage to the rangeproof code which does this very cleverly to encode messages. */
-    nonce = borromean_s[ring_input_index];
-    secp256k1_scalar_clear(&borromean_s[ring_input_index]);
-    if (secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, &proof->data[0], borromean_s, ring_pubkeys, &nonce, &blinding_key, rsizes, indices, 1, msg32, 32) == 0) {
+    if (secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, &proof->data[0], borromean_s, ring_pubkeys, &blinding_key, rsizes, indices, 1, msg32, 32) == 0) {
         return 0;
     }
     for (i = 0; i < n_used_pubkeys; i++) {

src/modules/whitelist/main_impl.h

@@ -15,7 +15,7 @@
 int secp256k1_whitelist_sign(const secp256k1_context* ctx, secp256k1_whitelist_signature *sig, const secp256k1_pubkey *online_pubkeys, const secp256k1_pubkey *offline_pubkeys, const size_t n_keys, const secp256k1_pubkey *sub_pubkey, const unsigned char *online_seckey, const unsigned char *summed_seckey, const size_t index) {
     secp256k1_gej pubs[MAX_KEYS];
     secp256k1_scalar s[MAX_KEYS];
-    secp256k1_scalar sec, non;
+    secp256k1_scalar sec;
     unsigned char msg32[32];
     int ret;
 
@@ -47,19 +47,7 @@ int secp256k1_whitelist_sign(const secp256k1_context* ctx, secp256k1_whitelist_s
         secp256k1_scalar_get_b32(seckey32, &sec);
         while (1) {
             size_t i;
-            unsigned char nonce32[32];
-            int done;
-            ret = secp256k1_nonce_function_default(nonce32, msg32, seckey32, NULL, NULL, count);
-            if (!ret) {
-                break;
-            }
-            secp256k1_scalar_set_b32(&non, nonce32, &overflow);
-            memset(nonce32, 0, 32);
-            if (overflow || secp256k1_scalar_is_zero(&non)) {
-                count++;
-                continue;
-            }
-            done = 1;
+            int done = 1;
             for (i = 0; i < n_keys; i++) {
                 msg32[0] ^= i + 1;
                 msg32[1] ^= (i + 1) / 0x100;
@@ -85,12 +73,11 @@ int secp256k1_whitelist_sign(const secp256k1_context* ctx, secp256k1_whitelist_s
     /* Actually sign */
     if (ret) {
         sig->n_keys = n_keys;
-        ret = secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, &sig->data[0], s, pubs, &non, &sec, &n_keys, &index, 1, msg32, 32);
+        ret = secp256k1_borromean_sign(&ctx->ecmult_gen_ctx, &sig->data[0], s, pubs, &sec, &n_keys, &index, 1, msg32, 32);
         /* Signing will change s[index], so update in the sig structure */
         secp256k1_scalar_get_b32(&sig->data[32 * (index + 1)], &s[index]);
     }
 
-    secp256k1_scalar_clear(&non);
     secp256k1_scalar_clear(&sec);
     return ret;
 }