diff --git a/.cirrus.yml b/.cirrus.yml index bf71a70..7c83483 100644 --- a/.cirrus.yml +++ b/.cirrus.yml @@ -278,7 +278,7 @@ task: container: dockerfile: ci/linux-debian.Dockerfile cpu: 1 - memory: 1G + memory: 2G env: ECDH: yes RECOVERY: yes diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..9cf2163 --- /dev/null +++ b/.gitattributes @@ -0,0 +1 @@ +src/ecmult_static_pre_g.h linguist-generated diff --git a/.gitignore b/.gitignore index 79b740d..9e187a3 100644 --- a/.gitignore +++ b/.gitignore @@ -9,6 +9,7 @@ bench_internal tests exhaustive_tests gen_context +gen_ecmult_static_pre_g valgrind_ctime_test *.exe *.so diff --git a/Makefile.am b/Makefile.am index 1e03560..d8b21de 100644 --- a/Makefile.am +++ b/Makefile.am @@ -127,12 +127,19 @@ exhaustive_tests_LDFLAGS = -static TESTS += exhaustive_tests endif +EXTRA_PROGRAMS = gen_ecmult_static_pre_g +gen_ecmult_static_pre_g_SOURCES = src/gen_ecmult_static_pre_g.c +# See Automake manual, Section "Errors with distclean" +src/ecmult_static_pre_g.h: + $(MAKE) $(AM_MAKEFLAGS) gen_ecmult_static_pre_g$(EXEEXT) + ./gen_ecmult_static_pre_g$(EXEEXT) + if USE_ECMULT_STATIC_PRECOMPUTATION CPPFLAGS_FOR_BUILD +=-I$(top_srcdir) -I$(builddir)/src gen_context_OBJECTS = gen_context.o gen_context_BIN = gen_context$(BUILD_EXEEXT) -gen_%.o: src/gen_%.c src/libsecp256k1-config.h +$(gen_context_OBJECTS): src/gen_context.c src/libsecp256k1-config.h $(CC_FOR_BUILD) $(DEFS) $(CPPFLAGS_FOR_BUILD) $(SECP_CFLAGS_FOR_BUILD) $(CFLAGS_FOR_BUILD) -c $< -o $@ $(gen_context_BIN): $(gen_context_OBJECTS) @@ -149,7 +156,7 @@ src/ecmult_static_context.h: $(gen_context_BIN) CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h endif -EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h +EXTRA_DIST = autogen.sh src/gen_context.c src/ecmult_static_pre_g.h src/basic-config.h if ENABLE_MODULE_ECDH include src/modules/ecdh/Makefile.am.include diff --git a/configure.ac b/configure.ac index 9969cfa..b73bd10 100644 --- a/configure.ac +++ b/configure.ac @@ -177,6 +177,8 @@ AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE|auto], [window size for ecmult precomputation for verification, specified as integer in range [2..24].] [Larger values result in possibly better performance at the cost of an exponentially larger precomputed table.] [The table will store 2^(SIZE-1) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.] +[A window size larger than 15 will require you delete the prebuilt ecmult_static_pre_g.h file so that it can be rebuilt.] +[For very large window sizes, use "make -j 1" to reduce memory use during compilation.] ["auto" is a reasonable setting for desktop machines (currently 15). [default=auto]] )], [req_ecmult_window=$withval], [req_ecmult_window=auto]) diff --git a/src/bench_ecmult.c b/src/bench_ecmult.c index 1d463f9..420c429 100644 --- a/src/bench_ecmult.c +++ b/src/bench_ecmult.c @@ -129,7 +129,7 @@ static void bench_ecmult_1(void* arg, int iters) { int i; for (i = 0; i < iters; ++i) { - secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL); + secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL); } } @@ -145,7 +145,7 @@ static void bench_ecmult_1g(void* arg, int iters) { secp256k1_scalar_set_int(&zero, 0); for (i = 0; i < iters; ++i) { - secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]); + secp256k1_ecmult(&data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]); } } @@ -159,7 +159,7 @@ static void bench_ecmult_2g(void* arg, int iters) { int i; for (i = 0; i < iters/2; ++i) { - secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]); + secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]); } } @@ -207,7 +207,7 @@ static void bench_ecmult_multi(void* arg, int iters) { iters = iters / data->count; for (iter = 0; iter < iters; ++iter) { - data->ecmult_multi(&data->ctx->error_callback, &data->ctx->ecmult_ctx, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_ecmult_multi_callback, arg, count - includes_g); + data->ecmult_multi(&data->ctx->error_callback, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_ecmult_multi_callback, arg, count - includes_g); data->offset1 = (data->offset1 + count) % POINTS; data->offset2 = (data->offset2 + count - 1) % POINTS; } @@ -266,7 +266,7 @@ static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_ secp256k1_scalar_add(&total, &total, &tmp); } secp256k1_scalar_negate(&total, &total); - secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->expected_output[iter], NULL, &zero, &total); + secp256k1_ecmult(&data->expected_output[iter], NULL, &zero, &total); } /* Run the benchmark. */ diff --git a/src/ecdsa.h b/src/ecdsa.h index d5e54d8..4441b08 100644 --- a/src/ecdsa.h +++ b/src/ecdsa.h @@ -15,7 +15,7 @@ static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, const unsigned char *sig, size_t size); static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s); -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); +static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message); static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid); #endif /* SECP256K1_ECDSA_H */ diff --git a/src/ecdsa_impl.h b/src/ecdsa_impl.h index c32141e..f1bce6f 100644 --- a/src/ecdsa_impl.h +++ b/src/ecdsa_impl.h @@ -204,7 +204,7 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const return 1; } -static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { +static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) { unsigned char c[32]; secp256k1_scalar sn, u1, u2; #if !defined(EXHAUSTIVE_TEST_ORDER) @@ -221,7 +221,7 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar_mul(&u1, &sn, message); secp256k1_scalar_mul(&u2, &sn, sigr); secp256k1_gej_set_ge(&pubkeyj, pubkey); - secp256k1_ecmult(ctx, &pr, &pubkeyj, &u2, &u1); + secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1); if (secp256k1_gej_is_infinity(&pr)) { return 0; } diff --git a/src/eckey.h b/src/eckey.h index 5be3a64..d54d44c 100644 --- a/src/eckey.h +++ b/src/eckey.h @@ -18,8 +18,8 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed); static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak); -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak); static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak); -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak); +static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak); #endif /* SECP256K1_ECKEY_H */ diff --git a/src/eckey_impl.h b/src/eckey_impl.h index a39cb79..e0506d3 100644 --- a/src/eckey_impl.h +++ b/src/eckey_impl.h @@ -57,12 +57,12 @@ static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp25 return !secp256k1_scalar_is_zero(key); } -static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { +static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak) { secp256k1_gej pt; secp256k1_scalar one; secp256k1_gej_set_ge(&pt, key); secp256k1_scalar_set_int(&one, 1); - secp256k1_ecmult(ctx, &pt, &pt, &one, tweak); + secp256k1_ecmult(&pt, &pt, &one, tweak); if (secp256k1_gej_is_infinity(&pt)) { return 0; @@ -79,7 +79,7 @@ static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp25 return ret; } -static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) { +static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak) { secp256k1_scalar zero; secp256k1_gej pt; if (secp256k1_scalar_is_zero(tweak)) { @@ -88,7 +88,7 @@ static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_scalar_set_int(&zero, 0); secp256k1_gej_set_ge(&pt, key); - secp256k1_ecmult(ctx, &pt, &pt, tweak, &zero); + secp256k1_ecmult(&pt, &pt, tweak, &zero); secp256k1_ge_set_gej(key, &pt); return 1; } diff --git a/src/ecmult.h b/src/ecmult.h index 84537bb..b47d8f4 100644 --- a/src/ecmult.h +++ b/src/ecmult.h @@ -11,20 +11,26 @@ #include "scalar.h" #include "scratch.h" -typedef struct { - /* For accelerating the computation of a*P + b*G: */ - secp256k1_ge_storage (*pre_g)[]; /* odd multiples of the generator */ - secp256k1_ge_storage (*pre_g_128)[]; /* odd multiples of 2^128*generator */ -} secp256k1_ecmult_context; +/* Noone will ever need more than a window size of 24. The code might + * be correct for larger values of ECMULT_WINDOW_SIZE but this is not + * tested. + * + * The following limitations are known, and there are probably more: + * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect + * because the size of the memory object that we allocate (in bytes) + * will not fit in a size_t. + * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect + * because certain expressions will overflow. + */ +#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24 +# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24]. +#endif -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx); -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc); -static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src); -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx); -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx); +/** The number of entries a table with precomputed multiples needs to have. */ +#define ECMULT_TABLE_SIZE(w) (1L << ((w)-2)) /** Double multiply: R = na*A + ng*G */ -static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data); @@ -39,6 +45,6 @@ typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge * 0 if there is not enough scratch space for a single point or * callback returns 0 */ -static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n); +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n); #endif /* SECP256K1_ECMULT_H */ diff --git a/src/ecmult_impl.h b/src/ecmult_impl.h index 5c2edac..87ccc73 100644 --- a/src/ecmult_impl.h +++ b/src/ecmult_impl.h @@ -14,6 +14,7 @@ #include "group.h" #include "scalar.h" #include "ecmult.h" +#include "ecmult_static_pre_g.h" #if defined(EXHAUSTIVE_TEST_ORDER) /* We need to lower these values for exhaustive tests because @@ -21,13 +22,10 @@ * affine-isomorphism stuff which tracks z-ratios) */ # if EXHAUSTIVE_TEST_ORDER > 128 # define WINDOW_A 5 -# define WINDOW_G 8 # elif EXHAUSTIVE_TEST_ORDER > 8 # define WINDOW_A 4 -# define WINDOW_G 4 # else # define WINDOW_A 2 -# define WINDOW_G 2 # endif #else /* optimal for 128-bit and 256-bit exponents. */ @@ -41,31 +39,12 @@ * Two tables of this size are used (due to the endomorphism * optimization). */ -# define WINDOW_G ECMULT_WINDOW_SIZE -#endif - -/* Noone will ever need more than a window size of 24. The code might - * be correct for larger values of ECMULT_WINDOW_SIZE but this is not - * not tested. - * - * The following limitations are known, and there are probably more: - * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect - * because the size of the memory object that we allocate (in bytes) - * will not fit in a size_t. - * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect - * because certain expressions will overflow. - */ -#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24 -# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24]. #endif #define WNAF_BITS 128 #define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w)) #define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w) -/** The number of entries a table with precomputed multiples needs to have. */ -#define ECMULT_TABLE_SIZE(w) (1 << ((w)-2)) - /* The number of objects allocated on the scratch space for ecmult_multi algorithms */ #define PIPPENGER_SCRATCH_OBJECTS 6 #define STRAUSS_SCRATCH_OBJECTS 6 @@ -119,18 +98,12 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, sec /** Fill a table 'pre' with precomputed odd multiples of a. * - * There are two versions of this function: - * - secp256k1_ecmult_odd_multiples_table_globalz_windowa which brings its - * resulting point set to a single constant Z denominator, stores the X and Y - * coordinates as ge_storage points in pre, and stores the global Z in rz. - * It only operates on tables sized for WINDOW_A wnaf multiples. - * - secp256k1_ecmult_odd_multiples_table_storage_var, which converts its - * resulting point set to actually affine points, and stores those in pre. - * It operates on tables of any size. + * The resulting point set is brought to a single constant Z denominator, stores the X and Y + * coordinates as ge_storage points in pre, and stores the global Z in rz. + * It only operates on tables sized for WINDOW_A wnaf multiples. * - * To compute a*P + b*G, we compute a table for P using the first function, - * and for G using the second (which requires an inverse, but it only needs to - * happen once). + * To compute a*P + b*G, we compute a table for P using this function, + * and use the precomputed table in for G. */ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) { secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; @@ -142,137 +115,6 @@ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *p secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A), pre, globalz, prej, zr); } -static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp256k1_ge_storage *pre, const secp256k1_gej *a) { - secp256k1_gej d; - secp256k1_ge d_ge, p_ge; - secp256k1_gej pj; - secp256k1_fe zi; - secp256k1_fe zr; - secp256k1_fe dx_over_dz_squared; - int i; - - VERIFY_CHECK(!a->infinity); - - secp256k1_gej_double_var(&d, a, NULL); - - /* First, we perform all the additions in an isomorphic curve obtained by multiplying - * all `z` coordinates by 1/`d.z`. In these coordinates `d` is affine so we can use - * `secp256k1_gej_add_ge_var` to perform the additions. For each addition, we store - * the resulting y-coordinate and the z-ratio, since we only have enough memory to - * store two field elements. These are sufficient to efficiently undo the isomorphism - * and recompute all the `x`s. - */ - d_ge.x = d.x; - d_ge.y = d.y; - d_ge.infinity = 0; - - secp256k1_ge_set_gej_zinv(&p_ge, a, &d.z); - pj.x = p_ge.x; - pj.y = p_ge.y; - pj.z = a->z; - pj.infinity = 0; - - for (i = 0; i < (n - 1); i++) { - secp256k1_fe_normalize_var(&pj.y); - secp256k1_fe_to_storage(&pre[i].y, &pj.y); - secp256k1_gej_add_ge_var(&pj, &pj, &d_ge, &zr); - secp256k1_fe_normalize_var(&zr); - secp256k1_fe_to_storage(&pre[i].x, &zr); - } - - /* Invert d.z in the same batch, preserving pj.z so we can extract 1/d.z */ - secp256k1_fe_mul(&zi, &pj.z, &d.z); - secp256k1_fe_inv_var(&zi, &zi); - - /* Directly set `pre[n - 1]` to `pj`, saving the inverted z-coordinate so - * that we can combine it with the saved z-ratios to compute the other zs - * without any more inversions. */ - secp256k1_ge_set_gej_zinv(&p_ge, &pj, &zi); - secp256k1_ge_to_storage(&pre[n - 1], &p_ge); - - /* Compute the actual x-coordinate of D, which will be needed below. */ - secp256k1_fe_mul(&d.z, &zi, &pj.z); /* d.z = 1/d.z */ - secp256k1_fe_sqr(&dx_over_dz_squared, &d.z); - secp256k1_fe_mul(&dx_over_dz_squared, &dx_over_dz_squared, &d.x); - - /* Going into the second loop, we have set `pre[n-1]` to its final affine - * form, but still need to set `pre[i]` for `i` in 0 through `n-2`. We - * have `zi = (p.z * d.z)^-1`, where - * - * `p.z` is the z-coordinate of the point on the isomorphic curve - * which was ultimately assigned to `pre[n-1]`. - * `d.z` is the multiplier that must be applied to all z-coordinates - * to move from our isomorphic curve back to secp256k1; so the - * product `p.z * d.z` is the z-coordinate of the secp256k1 - * point assigned to `pre[n-1]`. - * - * All subsequent inverse-z-coordinates can be obtained by multiplying this - * factor by successive z-ratios, which is much more efficient than directly - * computing each one. - * - * Importantly, these inverse-zs will be coordinates of points on secp256k1, - * while our other stored values come from computations on the isomorphic - * curve. So in the below loop, we will take care not to actually use `zi` - * or any derived values until we're back on secp256k1. - */ - i = n - 1; - while (i > 0) { - secp256k1_fe zi2, zi3; - const secp256k1_fe *rzr; - i--; - - secp256k1_ge_from_storage(&p_ge, &pre[i]); - - /* For each remaining point, we extract the z-ratio from the stored - * x-coordinate, compute its z^-1 from that, and compute the full - * point from that. */ - rzr = &p_ge.x; - secp256k1_fe_mul(&zi, &zi, rzr); - secp256k1_fe_sqr(&zi2, &zi); - secp256k1_fe_mul(&zi3, &zi2, &zi); - /* To compute the actual x-coordinate, we use the stored z ratio and - * y-coordinate, which we obtained from `secp256k1_gej_add_ge_var` - * in the loop above, as well as the inverse of the square of its - * z-coordinate. We store the latter in the `zi2` variable, which is - * computed iteratively starting from the overall Z inverse then - * multiplying by each z-ratio in turn. - * - * Denoting the z-ratio as `rzr`, we observe that it is equal to `h` - * from the inside of the above `gej_add_ge_var` call. This satisfies - * - * rzr = d_x * z^2 - x * d_z^2 - * - * where (`d_x`, `d_z`) are Jacobian coordinates of `D` and `(x, z)` - * are Jacobian coordinates of our desired point -- except both are on - * the isomorphic curve that we were using when we called `gej_add_ge_var`. - * To get back to secp256k1, we must multiply both `z`s by `d_z`, or - * equivalently divide both `x`s by `d_z^2`. Our equation then becomes - * - * rzr = d_x * z^2 / d_z^2 - x - * - * (The left-hand-side, being a ratio of z-coordinates, is unaffected - * by the isomorphism.) - * - * Rearranging to solve for `x`, we have - * - * x = d_x * z^2 / d_z^2 - rzr - * - * But what we actually want is the affine coordinate `X = x/z^2`, - * which will satisfy - * - * X = d_x / d_z^2 - rzr / z^2 - * = dx_over_dz_squared - rzr * zi2 - */ - secp256k1_fe_mul(&p_ge.x, rzr, &zi2); - secp256k1_fe_negate(&p_ge.x, &p_ge.x, 1); - secp256k1_fe_add(&p_ge.x, &dx_over_dz_squared); - /* y is stored_y/z^3, as we expect */ - secp256k1_fe_mul(&p_ge.y, &p_ge.y, &zi3); - /* Store */ - secp256k1_ge_to_storage(&pre[i], &p_ge); - } -} - /** The following two macro retrieves a particular odd multiple from a table * of precomputed multiples. */ #define ECMULT_TABLE_GET_GE(r,pre,n,w) do { \ @@ -299,74 +141,6 @@ static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp25 } \ } while(0) -static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE = - ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)) - + ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G)) - ; - -static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx) { - ctx->pre_g = NULL; - ctx->pre_g_128 = NULL; -} - -static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc) { - secp256k1_gej gj; - void* const base = *prealloc; - size_t const prealloc_size = SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; - - if (ctx->pre_g != NULL) { - return; - } - - /* get the generator */ - secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); - - { - size_t size = sizeof((*ctx->pre_g)[0]) * ((size_t)ECMULT_TABLE_SIZE(WINDOW_G)); - /* check for overflow */ - VERIFY_CHECK(size / sizeof((*ctx->pre_g)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G))); - ctx->pre_g = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size); - } - - /* precompute the tables with odd multiples */ - secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj); - - { - secp256k1_gej g_128j; - int i; - - size_t size = sizeof((*ctx->pre_g_128)[0]) * ((size_t) ECMULT_TABLE_SIZE(WINDOW_G)); - /* check for overflow */ - VERIFY_CHECK(size / sizeof((*ctx->pre_g_128)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G))); - ctx->pre_g_128 = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size); - - /* calculate 2^128*generator */ - g_128j = gj; - for (i = 0; i < 128; i++) { - secp256k1_gej_double_var(&g_128j, &g_128j, NULL); - } - secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j); - } -} - -static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src) { - if (src->pre_g != NULL) { - /* We cast to void* first to suppress a -Wcast-align warning. */ - dst->pre_g = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g) - (unsigned char*)src)); - } - if (src->pre_g_128 != NULL) { - dst->pre_g_128 = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g_128) - (unsigned char*)src)); - } -} - -static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx) { - return ctx->pre_g != NULL; -} - -static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx) { - secp256k1_ecmult_context_init(ctx); -} - /** Convert a number to WNAF notation. The number becomes represented by sum(2^i * wnaf[i], i=0..bits), * with the following guarantees: * - each wnaf[i] is either 0, or an odd integer between -(1<<(w-1) - 1) and (1<<(w-1) - 1) @@ -443,7 +217,7 @@ struct secp256k1_strauss_state { struct secp256k1_strauss_point_state* ps; }; -static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { +static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { secp256k1_ge tmpa; secp256k1_fe Z; /* Splitted G factors. */ @@ -544,11 +318,11 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c } } if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { - ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G); + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g, n, WINDOW_G); secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } if (i < bits_ng_128 && (n = wnaf_ng_128[i])) { - ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g_128, n, WINDOW_G); + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g_128, n, WINDOW_G); secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); } } @@ -558,7 +332,7 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c } } -static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; @@ -571,7 +345,7 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej state.pre_a = pre_a; state.pre_a_lam = pre_a_lam; state.ps = ps; - secp256k1_ecmult_strauss_wnaf(ctx, &state, r, 1, a, na, ng); + secp256k1_ecmult_strauss_wnaf(&state, r, 1, a, na, ng); } static size_t secp256k1_strauss_scratch_size(size_t n_points) { @@ -579,7 +353,7 @@ static size_t secp256k1_strauss_scratch_size(size_t n_points) { return n_points*point_size; } -static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { +static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { secp256k1_gej* points; secp256k1_scalar* scalars; struct secp256k1_strauss_state state; @@ -612,14 +386,14 @@ static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callba } secp256k1_gej_set_ge(&points[i], &point); } - secp256k1_ecmult_strauss_wnaf(ctx, &state, r, n_points, points, scalars, inp_g_sc); + secp256k1_ecmult_strauss_wnaf(&state, r, n_points, points, scalars, inp_g_sc); secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); return 1; } /* Wrapper for secp256k1_ecmult_multi_func interface */ -static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { - return secp256k1_ecmult_strauss_batch(error_callback, actx, scratch, r, inp_g_sc, cb, cbdata, n, 0); +static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { + return secp256k1_ecmult_strauss_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0); } static size_t secp256k1_strauss_max_points(const secp256k1_callback* error_callback, secp256k1_scratch *scratch) { @@ -866,7 +640,7 @@ static size_t secp256k1_pippenger_scratch_size(size_t n_points, int bucket_windo return (sizeof(secp256k1_gej) << bucket_window) + sizeof(struct secp256k1_pippenger_state) + entries * entry_size; } -static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { +static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { const size_t scratch_checkpoint = secp256k1_scratch_checkpoint(error_callback, scratch); /* Use 2(n+1) with the endomorphism, when calculating batch * sizes. The reason for +1 is that we add the G scalar to the list of @@ -881,7 +655,6 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call int i, j; int bucket_window; - (void)ctx; secp256k1_gej_set_infinity(r); if (inp_g_sc == NULL && n_points == 0) { return 1; @@ -941,8 +714,8 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call } /* Wrapper for secp256k1_ecmult_multi_func interface */ -static int secp256k1_ecmult_pippenger_batch_single(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { - return secp256k1_ecmult_pippenger_batch(error_callback, actx, scratch, r, inp_g_sc, cb, cbdata, n, 0); +static int secp256k1_ecmult_pippenger_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { + return secp256k1_ecmult_pippenger_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0); } /** @@ -986,7 +759,7 @@ static size_t secp256k1_pippenger_max_points(const secp256k1_callback* error_cal /* Computes ecmult_multi by simply multiplying and adding each point. Does not * require a scratch space */ -static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) { +static int secp256k1_ecmult_multi_simple_var(secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) { size_t point_idx; secp256k1_scalar szero; secp256k1_gej tmpj; @@ -995,7 +768,7 @@ static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx secp256k1_gej_set_infinity(r); secp256k1_gej_set_infinity(&tmpj); /* r = inp_g_sc*G */ - secp256k1_ecmult(ctx, r, &tmpj, &szero, inp_g_sc); + secp256k1_ecmult(r, &tmpj, &szero, inp_g_sc); for (point_idx = 0; point_idx < n_points; point_idx++) { secp256k1_ge point; secp256k1_gej pointj; @@ -1005,7 +778,7 @@ static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx } /* r += scalar*point */ secp256k1_gej_set_ge(&pointj, &point); - secp256k1_ecmult(ctx, &tmpj, &pointj, &scalar, NULL); + secp256k1_ecmult(&tmpj, &pointj, &scalar, NULL); secp256k1_gej_add_var(r, r, &tmpj, NULL); } return 1; @@ -1031,11 +804,11 @@ static int secp256k1_ecmult_multi_batch_size_helper(size_t *n_batches, size_t *n return 1; } -typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t); -static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { +typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t); +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { size_t i; - int (*f)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t); + int (*f)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t); size_t n_batches; size_t n_batch_points; @@ -1045,11 +818,11 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, } else if (n == 0) { secp256k1_scalar szero; secp256k1_scalar_set_int(&szero, 0); - secp256k1_ecmult(ctx, r, r, &szero, inp_g_sc); + secp256k1_ecmult(r, r, &szero, inp_g_sc); return 1; } if (scratch == NULL) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } /* Compute the batch sizes for Pippenger's algorithm given a scratch space. If it's greater than @@ -1057,13 +830,13 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, * As a first step check if there's enough space for Pippenger's algo (which requires less space * than Strauss' algo) and if not, use the simple algorithm. */ if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_pippenger_max_points(error_callback, scratch), n)) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } if (n_batch_points >= ECMULT_PIPPENGER_THRESHOLD) { f = secp256k1_ecmult_pippenger_batch; } else { if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_strauss_max_points(error_callback, scratch), n)) { - return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n); + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); } f = secp256k1_ecmult_strauss_batch; } @@ -1071,7 +844,7 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, size_t nbp = n < n_batch_points ? n : n_batch_points; size_t offset = n_batch_points*i; secp256k1_gej tmp; - if (!f(error_callback, ctx, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) { + if (!f(error_callback, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) { return 0; } secp256k1_gej_add_var(r, r, &tmp, NULL); diff --git a/src/ecmult_static_pre_g.h b/src/ecmult_static_pre_g.h new file mode 100644 index 0000000..9072fb2 --- /dev/null +++ b/src/ecmult_static_pre_g.h @@ -0,0 +1,16611 @@ +/* This file was automatically generated by gen_ecmult_static_pre_g. */ +/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and + * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G. + */ +#ifndef SECP256K1_ECMULT_STATIC_PRE_G_H +#define SECP256K1_ECMULT_STATIC_PRE_G_H +#include "group.h" +#ifdef S + #error macro identifier S already in use. +#endif +#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u) +#if ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE) > 8192 + #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting ecmult_static_pre_g.h before the build. +#endif +#if defined(EXHAUSTIVE_TEST_ORDER) +#if EXHAUSTIVE_TEST_ORDER == 13 +#define WINDOW_G 4 +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(ae64a1bd,38872f22,f637b457,125cc859,e4c7a31b,cf553cf5,b96e7096,cc61cc10,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c) +,S(0,0,0,0,0,0,0,1,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3) +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(8e55c205,92466f75,3c417ec0,e600f626,bfac877c,52258a1c,3941145a,62753693,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(0,0,0,0,0,0,0,1,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c) +,S(7ae96a2b,657c0710,6e64479e,ac3434e9,9cf04975,12f58995,c1396c28,719501ee,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3) +}; +#elif EXHAUSTIVE_TEST_ORDER == 199 +#define WINDOW_G 8 +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,a13872c2,e933bb17,5d9ffd5b,b5b6e10c,57fe3c00,baaaa15a,e003ec3e,9c269bae) +,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(64dd1439,5d19a544,a7a1e81b,b9d079b3,593e7022,6bcd444e,6dc8197a,1a6dc3e6,2c7f2dce,e421d852,d3bff68e,993c8bb4,c189d3be,bd4fa667,6a599f9f,8c639c50) +,S(199d1eb1,5a28f0aa,7258651b,ff07ff13,1c988fa,dc41dc67,390c3172,54b98016,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c) +,S(3d303d12,f8eb67d0,ecaee514,bdd90e57,b58b6d6a,c896a26f,78c06103,52225b04,d282f481,b04bece2,60de6995,b58c4f0d,9c6121e0,d94f45da,f5da7f13,cfefef99) +,S(76bb4d25,c7a005dc,49a5295f,bb92bf1e,5d0dd5f6,609c2008,54f37361,23a6f9f3,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3) +,S(8735fb32,6950ae71,31cd03f7,cc1511d8,65c87e84,748c9824,8ccc576e,5480ed8,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec) +,S(8521a020,a8e7cc5e,d9534d74,d4656581,33869bc,1940548d,6cc35ba4,e3c4323a,c63014ea,99a0c8e0,aca2a93e,ce85729d,d615d7d8,6bc5670e,31180979,791b7d43) +,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3) +,S(c479fee8,e2202b42,1c9346fb,4e59f720,95a70dea,2ade9641,58bad01c,2c37f,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731) +,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a) +,S(baeab1a8,bca6e88,740deeb5,93887afe,295155ba,fa50f307,baf2de95,2841dca6,a88e0162,de086e20,587faa5c,bca8f572,318c17e9,5668819c,13c4d5d9,2d1c75dc) +,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(f9d5cda0,a41aea0e,f0afc533,e1b50808,3acc6043,e04e55bb,77421ab,1cebb8ec,f8a4cc8e,538e1b7f,627c6713,7c896eb1,c5548159,f434695a,ea394c63,592d41cf) +,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(318ef624,4d411c97,913a7bb3,8f07b960,e6c57afa,f1edc5bf,e708da8a,954f68ac,37d97203,d25d9c14,53827e27,9474afb2,92943df0,8ba1108a,43644c86,ee6c87e4) +,S(eac612b0,84cb452a,35d49c60,c0d0c0bd,359eb909,68a80186,92a028f,ece4c331,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(9f5ed380,fa5188a1,cb1c84df,cb7e2aad,939cdfde,581d765b,95c1c25,43016afb,423923ad,75aa7eb1,259434a7,1d58c469,f6268a38,5cd8fb7c,4be64d63,fad9bcea) +,S(ee534645,42ff07e2,8cf783ee,1da96e00,b81f531,9b9a4885,27f92302,acd12cac,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a) +,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4) +,S(e8d3f45a,b5be455f,dc3c2270,34100ca2,b8d203e1,35a9ed3d,5c8b703c,ef4d9b48,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96) +,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,97682462,a5c276b7,1568f961,f218a99e,4e528b1b,d4e255b0,acc27744,98ec84fe) +,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(9963e528,754cbba8,29622664,1aec11b0,3fba2739,40f61cbd,5d4c0478,5429f40,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c) +,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0) +,S(7fe309bb,e3e8edd3,3f5f94b,4247256e,41e62e69,fd9f2063,d878c6d6,3d85675f,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,cb47a6a4,91313828,f036dbd7,64173a40,473d3969,5cc47758,511d0a81,badb02f1) +,S(f31a7dfe,4d2e4a98,aaf3dd70,25441c7a,2da056b0,db6795e8,3a39d76f,b316bd92,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(2266b5e,d5cef55,81e36315,c5fc5c53,a1c73b12,c24c8de7,9afef2a0,7a50212c,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81) +,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(896c7bc,5cfeaecc,37b111ea,2deee270,c7cb24eb,6eb1cb80,a84e87d3,89d997c1,66446d0d,b01a679b,59afb34a,2bbf8cfe,f0a44870,f0e074ce,78a51a36,9bbbf33c) +,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(142f854d,ba0b87a2,9826f018,86ab51ff,b9f19214,c23c07c0,f008a375,a1effdb6,74bafd32,bdf2bdfd,c65a52c3,5ef4f4d,9332f7b2,a0512a9f,f821f858,484bb9c) +,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(7a1b727f,c05c6de2,79b2e027,108fae3e,87ca9249,eb44207f,286e1cbe,4728027,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f) +,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45) +,S(34f8450b,18bffd3f,cbadcd08,5da5411b,ba2ef195,55753768,bf777307,3a2d4cb4,5771fe9d,21f791df,a78055a3,43570a8d,ce73e816,a9977e63,ec3b2a25,d2e38653) +,S(76dac07e,bc240289,791e6a9a,56abdc7,bdf2fac1,e7a0100b,5a0ee09e,3455cc33,8b4502cd,420d4202,39a5ad3c,fa10b0b2,6ccd084d,5faed560,7de07a6,fb7b4093) +,S(929effed,d3b91ccb,a985ab23,bef45c16,6d5ffaa3,22562529,b84d051c,f94044a1,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(1ea4ff3b,5a0a78a9,fda9d73a,ea5f0629,886b083a,6d3beea4,d6bc96e1,b50da944,9edf1300,7f2b7fb2,92301e8c,77ddb63e,5f2d23c4,315118c1,8b1b6273,86bba11a) +,S(86fef7a7,b4d3b079,2c83a223,d1c929d6,6ca15202,f4b956a1,cf7ed2cb,83dba7c4,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(c979de1c,1318f60f,a9929ff3,a6621b9,d15226e8,2883556e,36a5f77b,28e3b585,d7bd974a,b40a1bd3,a35a1ee9,16d32768,48e7bcfc,be70851d,8ba758b9,996d2099) +,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(80c5672b,3f773975,b5829101,6fa9de9b,33863263,8a978db,934f04c1,3a909b85,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677) +,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(d8a3fd95,b7ed8e8a,674da307,94911393,303917c2,60944d1f,76261274,fba45757,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(c2d4b350,75ee5eb,3e2c8d3c,f33649dc,dd4f4c29,728bbdae,3f3ff02d,f3dc7415,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15) +,S(9fa3c7bd,6b8544f2,df48309,596ea267,8f8537e1,dc406ec7,cf2c67d1,ae5f1e8a,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b) +,S(0,0,0,0,0,0,0,1,34b8595b,6ecec7d7,fc92428,9be8c5bf,b8c2c696,a33b88a7,aee2f57d,4524f93e) +,S(969360d2,54e2dba9,e79d0789,c339250d,c438330a,a66addf9,f27e2ee8,fc9036ac,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3) +,S(318f2c1f,3dc109ad,ed9d8958,e2e6eb8c,e26eec32,f2725ad1,68e116c7,497e7044,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60) +,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,7f0c4863,45a07ba8,c0d55b8c,fe2ef3e0,649abc1e,47313a1f,1763291f,79733985) +,S(4ed9d2a,7f32fa30,fd059de5,ee512073,47d68d12,b77df5b8,6a83a814,3fcdd5c0,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,3738dc95,97add4e5,c0a39af1,b98ccba2,7bb43333,e35ab481,54c52779,9191144b) +,S(47a7cc2e,1cbd64c8,301443ed,be1ab328,85dce80e,a6d8c847,4eb9be09,6db5fecf,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(9556e393,974bcd02,c6356a53,fce819d4,887b188c,99b8de16,1e5d3697,d595cdce,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(5d6f8ab3,ca0a5fca,611b7738,16adb4f8,df73ad68,5ce45286,75101d00,54ff3eca,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(a4465b18,b7f702e2,a8165184,834ce490,68fb0a51,6658734b,6229eda0,605911a2,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4) +,S(d49b0640,1e240c43,21b2b173,3b640c6a,e2c4b389,2d3f4f73,8faac78b,9995cf2e,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60) +,S(599db82f,8229ad47,7a662726,d2d351a6,f76cefd7,8fc376b1,ef6e344e,4e4dae3a,284268b5,4bf5e42c,5ca5e116,e92cd897,b7184303,418f7ae2,7458a745,6692db96) +,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,859f03d8,1b54f459,158e3fc9,ad47c3a3,a54a2537,15bc213d,7b8e6072,9283bfae) +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(ec823227,1d0e875a,8e1cf7e6,f9a35a15,749be650,1cc885c4,f383060b,46bd3d33,aa140b83,97ca0dcd,a15dcd4c,7509bb87,9a34231e,d0d3a586,543bba01,ae7545b8) +,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,36f8fb36,708d2741,9c75c923,178976f6,5386de3,23ab2ceb,f76044c0,9256faa5) +,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4) +,S(f3a864ac,edc7852f,f4dfae93,5f8588a6,96ff17bf,7233134e,6704ceb,16f3b74c,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec) +,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,2e9f47cb,a7f8ace5,cd858d96,c9d82549,688f5ed,eb14e7d2,58c52e9,be4a7c3f) +,S(66fd0ada,7159c2df,fdd925e7,2eb70772,743e39e3,4c10d5cf,f58eac4e,a30e4157,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(60d5d771,4e1e7589,e0b1e68c,ed7f881,73fca809,eae35685,65334942,79962dc2,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3) +,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45) +,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,1dd6a38e,deb870ad,f2b2e755,8d327d51,e66a2c81,910d1fa5,b215911c,9c8e004c) +,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(ae3796a4,823f3eb4,ea4bd677,110dc3fb,45537c3c,4d10d2e8,e758a3be,4875db83,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4) +,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b) +,S(f8f16642,266d8dc6,abfdbbc6,f6c47711,a192c051,7f00a633,b78076a7,a7884e72,4f6d0e5,148ce7e1,772f84c,b08903b8,71d2beb5,d0934488,8ab1c75d,42232790) +,S(23082df9,a86b80fc,5185ee3c,6493763b,14a6e237,baf686aa,f589b649,8573d04c,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45) +,S(76dac07e,bc240289,791e6a9a,56abdc7,bdf2fac1,e7a0100b,5a0ee09e,3455cc33,8b4502cd,420d4202,39a5ad3c,fa10b0b2,6ccd084d,5faed560,7de07a6,fb7b4093) +,S(8735fb32,6950ae71,31cd03f7,cc1511d8,65c87e84,748c9824,8ccc576e,5480ed8,c63014ea,99a0c8e0,aca2a93e,ce85729d,d615d7d8,6bc5670e,31180979,791b7d43) +,S(969360d2,54e2dba9,e79d0789,c339250d,c438330a,a66addf9,f27e2ee8,fc9036ac,66446d0d,b01a679b,59afb34a,2bbf8cfe,f0a44870,f0e074ce,78a51a36,9bbbf33c) +,S(74f5ba33,89d075d3,eebaa54d,73e9f038,881b7329,5623e833,b5e87beb,29ba3246,74bafd32,bdf2bdfd,c65a52c3,5ef4f4d,9332f7b2,a0512a9f,f821f858,484bb9c) +,S(a4465b18,b7f702e2,a8165184,834ce490,68fb0a51,6658734b,6229eda0,605911a2,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4) +,S(eac612b0,84cb452a,35d49c60,c0d0c0bd,359eb909,68a80186,92a028f,ece4c331,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(f31a7dfe,4d2e4a98,aaf3dd70,25441c7a,2da056b0,db6795e8,3a39d76f,b316bd92,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b) +,S(470ce05d,53f77ff0,c5ab8770,a4c11a3e,23f7d4fe,f5c0ab36,1b940a8a,6b8cf7b9,57d6adb1,5f0b1daa,1fce91d7,ccf75d45,9480b056,6f81ff8a,85612173,1cd8f2b8) +,S(d9fbce92,515652cf,3714f87b,e16e505,91a28eb4,1bf7053,2ab42ebd,be900212,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96) +,S(1ea4ff3b,5a0a78a9,fda9d73a,ea5f0629,886b083a,6d3beea4,d6bc96e1,b50da944,9edf1300,7f2b7fb2,92301e8c,77ddb63e,5f2d23c4,315118c1,8b1b6273,86bba11a) +,S(3d303d12,f8eb67d0,ecaee514,bdd90e57,b58b6d6a,c896a26f,78c06103,52225b04,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96) +,S(9fa3c7bd,6b8544f2,df48309,596ea267,8f8537e1,dc406ec7,cf2c67d1,ae5f1e8a,37d97203,d25d9c14,53827e27,9474afb2,92943df0,8ba1108a,43644c86,ee6c87e4) +,S(92906a31,52682000,a59736ed,ef48a7b0,c78d6a49,8727b3b,893d3478,de04ada5,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(599db82f,8229ad47,7a662726,d2d351a6,f76cefd7,8fc376b1,ef6e344e,4e4dae3a,284268b5,4bf5e42c,5ca5e116,e92cd897,b7184303,418f7ae2,7458a745,6692db96) +,S(ee534645,42ff07e2,8cf783ee,1da96e00,b81f531,9b9a4885,27f92302,acd12cac,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a) +,S(7fe309bb,e3e8edd3,3f5f94b,4247256e,41e62e69,fd9f2063,d878c6d6,3d85675f,dca8a8d8,625c2ed4,3fffb2ed,1f956325,7bfa36e1,47ee7d9f,d86c19cf,e93d5991) +,S(64eaaad1,9c7e9d01,5cc997ff,c2f23022,c59805d,48a48e1,970b8847,10211659,fb092f1a,eb73181e,f88d07b3,4f76fc47,8e2d414a,2f6cbb77,754e38a1,bddcd49f) +,S(59e10f43,eb4b2fb0,94f2f66d,1404dd08,ab9c2442,50bd16e0,21feb78f,e0380d01,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3) +,S(c979de1c,1318f60f,a9929ff3,a6621b9,d15226e8,2883556e,36a5f77b,28e3b585,d7bd974a,b40a1bd3,a35a1ee9,16d32768,48e7bcfc,be70851d,8ba758b9,996d2099) +,S(64dd1439,5d19a544,a7a1e81b,b9d079b3,593e7022,6bcd444e,6dc8197a,1a6dc3e6,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(d8a3fd95,b7ed8e8a,674da307,94911393,303917c2,60944d1f,76261274,fba45757,a13872c2,e933bb17,5d9ffd5b,b5b6e10c,57fe3c00,baaaa15a,e003ec3e,9c269bae) +,S(acee4285,57fc32a1,d3d14199,30cadaf0,613a630a,7a7e8c14,d08d05df,19143c3a,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(5d771e5d,6dc6c87,5ede8bae,4b27a9d4,3c5f8da2,8e84f5c3,501299c8,db16484c,859f03d8,1b54f459,158e3fc9,ad47c3a3,a54a2537,15bc213d,7b8e6072,9283bfae) +,S(e8d3f45a,b5be455f,dc3c2270,34100ca2,b8d203e1,35a9ed3d,5c8b703c,ef4d9b48,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96) +,S(9963e528,754cbba8,29622664,1aec11b0,3fba2739,40f61cbd,5d4c0478,5429f40,298f1c0e,f903dc7d,b940cdc0,ed8183eb,a891c59b,a2a3be25,bf0dd4d5,b03574c3) +,S(cbdb65,553cd5d8,ff61cf33,e53fdd9a,cf0ee159,c21dc578,be5bac2b,7973c229,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(5029bff6,d4c80347,738230c8,cb252906,471b5bc1,3d26a533,304f5f0d,808f756c,97682462,a5c276b7,1568f961,f218a99e,4e528b1b,d4e255b0,acc27744,98ec84fe) +,S(80c5672b,3f773975,b5829101,6fa9de9b,33863263,8a978db,934f04c1,3a909b85,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677) +,S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,9e4aecf7,5379bc0f,83e71258,1065be69,f5599dde,e47f6533,d4d34ac6,dcfeed37) +,S(5472b5d0,4ba1ca80,236183b1,46e596e5,4b20b83b,248988c8,bbe8460e,3666f262,a829524e,a0f4e255,e0316e28,3308a2ba,6b7f4fa9,907e0075,7a9ede8b,e3270977) +,S(2ecd421e,47399e76,60d10143,1789a437,89b54d23,31d1cb78,49cabda2,bc5174f9,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b) +,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731) +,S(92b866ad,a37a3f2f,bc607717,96b2c74f,57dde74c,da8e015f,792df531,7eb21fa6,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677) +,S(a78dab,f2f2ef7f,4d424752,aa1aeaf5,50bec241,bf9ad129,3b9fe680,32b6141b,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f) +,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b) +,S(3faf6744,2aebb675,c6b75911,e3d34f4c,a8f5b669,a4c438f2,2c163659,3e36c1ea,fc0b579e,cbaf2c74,7b5c792d,7b66abf2,dfb1a44d,2ed6a417,7e1fc6bd,a989b623) +,S(34772cad,ad5888f2,53a810b7,5b175b8d,e3a454e4,26a1b5a5,c003f222,8e7b45c0,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0) +,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81) +,S(1e864d74,9e96a16a,c4299b88,226aaff9,9a45ab9c,203853ac,ea0378ef,5715ded6,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15) +}; +#else + #error No known generator for the specified exhaustive test group order. +#endif +#else /* !defined(EXHAUSTIVE_TEST_ORDER) */ +#define WINDOW_G ECMULT_WINDOW_SIZE +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(79be667e,f9dcbbac,55a06295,ce870b07,29bfcdb,2dce28d9,59f2815b,16f81798,483ada77,26a3c465,5da4fbfc,e1108a8,fd17b448,a6855419,9c47d08f,fb10d4b8) +#if ECMULT_TABLE_SIZE(WINDOW_G) > 1 +,S(f9308a01,9258c310,49344f85,f89d5229,b531c845,836f99b0,8601f113,bce036f9,388f7b0f,632de814,fe337e6,2a37f356,6500a999,34c2231b,6cb9fd75,84b8e672) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 2 +,S(2f8bde4d,1a072093,55b4a725,a5c5128,e88b84bd,dc619ab7,cba8d569,b240efe4,d8ac2226,36e5e3d6,d4dba9dd,a6c9c426,f788271b,ab0d6840,dca87d3a,a6ac62d6) +,S(5cbdf064,6e5db4ea,a398f365,f2ea7a0e,3d419b7e,330e39c,e92bdded,cac4f9bc,6aebca40,ba255960,a3178d6d,861a54db,a813d0b8,13fde7b5,a5082628,87264da) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 4 +,S(acd484e2,f0c7f653,9ad178a,9f559abd,e0979697,4c57e714,c35f110d,fc27ccbe,cc338921,b0a7d9fd,64380971,763b61e9,add888a4,375f8e0f,5cc262a,c64f9c37) +,S(774ae7f8,58a9411e,5ef4246b,70c65aac,5649980b,e5c17891,bbec1789,5da008cb,d984a032,eb6b5e19,243dd56,d7b7b365,372db1e2,dff9d6a8,301d74c9,c953c61b) +,S(f28773c2,d975288b,c7d1d205,c3748651,b075fbc6,610e58cd,deeddf8f,19405aa8,ab0902e,8d880a89,758212eb,65cdaf47,3a1a06da,521fa91f,29b5cb52,db03ed81) +,S(d7924d4f,7d43ea96,5a465ae3,95ff411,31e5946f,3c85f79e,44adbcf8,e27e080e,581e2872,a86c72a6,83842ec2,28cc6def,ea40af2b,d896d3a5,c504dc9f,f6a26b58) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 8 +,S(defdea4c,db677750,a420fee8,7eacf21,eb9898ae,79b97687,66e4faa0,4a2d4a34,4211ab06,94635168,e997b0ea,d2a93dae,ced1f4a0,4a95c0f6,cfb199f6,9e56eb77) +,S(2b4ea0a7,97a443d2,93ef5cff,444f4979,f06acfeb,d7e86d27,74756561,38385b6c,85e89bc0,37945d93,b343083b,5a1c8613,1a01f60c,50269763,b570c854,e5c09b7a) +,S(352bbf4a,4cdd1256,4f93fa33,2ce33330,1d9ad402,71f81071,81340aef,25be59d5,321eb407,5348f534,d59c1825,9dda3e1f,4a1b3b2e,71b1039c,67bd3d8b,cf81998c) +,S(2fa2104d,6b38d11b,2300105,59879124,e42ab8df,eff5ff29,dc9cdadd,4ecacc3f,2de1068,295dd865,b6456933,5bd5dd80,181d70ec,fc882648,423ba76b,532b7d67) +,S(9248279b,9b4d68d,ab21a9b0,66edda83,263c3d84,e09572e2,69ca0cd7,f5453714,73016f7b,f234aade,5d1aa71b,dea2b1ff,3fc0de2a,887912ff,e54a32ce,97cb3402) +,S(daed4f2b,e3a8bf27,8e70132f,b0beb752,2f570e14,4bf615c0,7e996d44,3dee8729,a69dce4a,7d6c98e8,d4a1aca8,7ef8d700,3f83c230,f3afa726,ab40e522,90be1c55) +,S(c44d12c7,65d812e,8acf28d7,cbb19f90,11ecd9e9,fdf281b0,e6a3b5e8,7d22e7db,2119a460,ce326cdc,76c45926,c982fdac,e106e86,1edf61c5,a039063f,e0e6482) +,S(6a245bf6,dc698504,c89a20cf,ded60853,152b6953,36c28063,b61c65cb,d269e6b4,e022cf42,c2bd4a70,8b3f5126,f16a24ad,8b33ba48,d0423b6e,fd5e6348,100d8a82) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 16 +,S(1697ffa6,fd9de627,c077e3d2,fe541084,ce13300b,bec1146,f95ae57f,d0bd6a5,b9c398f1,86806f5d,27561506,e4557433,a2cf1500,9e498ae7,adee9d63,d01b2396) +,S(605bdb01,9981718b,986d0f07,e834cb0d,9deb8360,ffb7f61d,f982345e,f27a7479,2972d2d,e4f8d206,81a78d93,ec96fe23,c26bfae8,4fb14db4,3b01e1e9,56b8c49) +,S(62d14dab,4150bf49,7402fdc4,5a215e10,dcb01c35,4959b10c,fe31c7e9,d87ff33d,80fc06bd,8cc5b010,98088a19,50eed0db,1aa1329,67ab4722,35f56424,83b25eaf) +,S(80c60ad0,40f27da,de5b4b06,c408e56b,2c50e9f5,6b9b8b42,5e555c2f,86308b6f,1c38303f,1cc5c30f,26e66bad,7fe72f70,a65eed4c,be7024eb,1aa01f56,430bd57a) +,S(7a9375ad,6167ad54,aa74c634,8cc54d34,4cc5dc94,87d84704,9d5eabb0,fa03c8fb,d0e3fa9,eca87269,9559e0d,79269046,bdc59ea1,c70ce2b,2d499ec,224dc7f7) +,S(d528ecd9,b696b54c,907a9ed0,45447a79,bb408ec3,9b68df50,4bb51f45,9bc3ffc9,eecf4125,3136e5f9,9966f218,81fd656e,bc434540,5c520dbc,63465b5,21409933) +,S(49370a4,b5f43412,ea25f514,e8ecdad0,5266115e,4a7ecb13,87231808,f8b45963,758f3f41,afd6ed42,8b3081b0,512fd62a,54c3f3af,bb5b6764,b653052a,12949c9a) +,S(77f23093,6ee88cbb,d73df930,d64702ef,881d811e,e1498e2,f1c13eb1,fc345d74,958ef42a,7886b640,a08266e,9ba1b378,96c95330,d97077cb,be8eb3c7,671c60d6) +,S(f2dac991,cc4ce4b9,ea44887e,5c7c0bce,58c80074,ab9d4dba,eb28531b,7739f530,e0dedc9b,3b2f8dad,4da1f32d,ec2531df,9eb5fbeb,598e4fd,1a117dba,703a3c37) +,S(463b3d9f,662621fb,1b4be8fb,be252012,5a216cdf,c9dae3de,bcba4850,c690d45b,5ed430d7,8c296c35,43114306,dd8622d7,c622e27c,970a1de3,1cb377b0,1af7307e) +,S(f16f8042,44e46e2a,9232d4a,ff3b5997,6b98fac1,4328a2d1,a32496b4,9998f247,cedabd9b,82203f7e,13d206fc,df4e33d9,2a6c53c2,6e5cce26,d6579962,c4e31df6) +,S(caf75427,2dc84563,b0352b7a,14311af5,5d245315,ace27c65,369e15f7,151d41d1,cb474660,ef35f5f2,a41b643f,a5e46057,5f4fa9b7,962232a5,c32f9083,18a04476) +,S(2600ca4b,282cb986,f85d0f17,9979d8b,44a09c07,cb86d7c1,24497bc8,6f082120,4119b887,53c15bd6,a693b03f,cddbb45d,5ac6be74,ab5f0ef4,4b0be947,5a7e4b40) +,S(7635ca72,d7e8432c,338ec53c,d12220bc,1c48685,e24f7dc8,c602a774,6998e435,91b6496,9489d61,3d1d5e59,f78e6d7,4ecfc061,d57048ba,d9e76f30,2c5b9c61) +,S(754e3239,f325570c,dbbf4a87,deee8a66,b7f2b334,79d468fb,c1a50743,bf56cc18,673fb86,e5bda30f,b3cd0ed3,4ea49a0,23ee33d0,197a695d,c5d9809,3c536683) +,S(e3e6bd10,71a1e96a,ff57859c,82d570f0,33080066,1d1c952f,9fe26946,91d9b9e8,59c9e0bb,a394e76f,40c0aa58,379a3cb6,a5a22839,93e90c41,67002af4,920e37f5) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 32 +,S(186b483d,56a0338,26ae73d8,8f732985,c4ccb1f3,2ba35f4b,4cc47fdc,f04aa6eb,3b952d32,c67cf77e,2e17446e,204180ab,21fb8090,895138b4,a4a797f8,6e80888b) +,S(df9d70a6,b9876ce5,44c98561,f4be4f72,5442e6d2,b737d9c9,1a832172,4ce0963f,55eb2daf,d84d6ccd,5f862b78,5dc39d4a,b1572227,20ef9da2,17b8c45c,f2ba2417) +,S(5edd5cc2,3c51e87a,497ca815,d5dce0f8,ab52554f,849ed899,5de64c5f,34ce7143,efae9c8d,bc141306,61e8cec0,30c89ad0,c13c66c0,d17a2905,cdc706ab,7399a868) +,S(290798c2,b6476830,da12fe02,287e9e77,7aa3fba1,c355b17a,722d362f,84614fba,e38da76d,cd440621,988d00bc,f79af25d,5b29c094,db2a2314,6d003afd,41943e7a) +,S(af3c423a,95d9f5b3,54754ef,a150ac39,cd29552f,e3602573,62dfdece,f4053b45,f98a3fd8,31eb2b74,9a93b0e6,f35cfb40,c8cd5aa6,67a15581,bc2feded,498fd9c6) +,S(766dbb24,d134e745,cccaa28c,99bf2749,6bb66b2,6dcf98df,8d2fed50,d884249a,744b1152,eacbe5e3,8dcc8879,80da38b8,97584a65,fa06cedd,2c924f97,cbac5996) +,S(59dbf46f,8c94759b,a21277c3,3784f416,45f7b44f,6c596a58,ce92e666,191abe3e,c534ad44,175fbc30,f4ea6ce,648309a0,42ce739a,7919798c,d85e216c,4a307f6e) +,S(f13ada95,103c4537,305e691e,74e9a4a8,dd647e71,1a95e73c,b62dc601,8cfd87b8,e13817b4,4ee14de6,63bf4bc8,8341f32,6949e21a,6a75c257,778419b,daf5733d) +,S(7754b4fa,e8aced0,6d4167a2,c59cca4c,da1869c0,6ebadfb6,48855001,5a88522c,30e93e86,4e669d82,224b967c,3020b8fa,8d1e4e35,b6cbcc5,37a48b57,841163a2) +,S(948dcadf,5990e048,aa3874d4,6abef9d7,1858f95,de8041d2,a6828c99,e2262519,e491a425,37f6e597,d5d28a32,24b1bc25,df9154ef,bd2ef1d2,cbba2cae,5347d57e) +,S(79624144,50c76c16,89c7b48f,8202ec37,fb224cf5,ac0bfa15,70328a8a,3d7c77ab,100b610e,c4ffb476,d5c1fc1,33ef6f6b,12507a05,1f04ac57,60afa5b2,9db83437) +,S(35140878,34964b54,b15b1606,44d91548,5a169772,25b8847b,b0dd0851,37ec47ca,ef0afbb2,5620544,8e1652c4,8e8127fc,6039e77c,15c2378b,7e7d15a0,de293311) +,S(d3cc30ad,6b483e4b,c79ce2c9,dd8bc549,93e947eb,8df787b4,42943d3f,7b527eaf,8b378a22,d827278d,89c5e9be,8f9508ae,3c2ad462,90358630,afb34db0,4eede0a4) +,S(1624d847,80732860,ce1c78fc,bfefe08b,2b29823d,b913f649,3975ba0f,f4847610,68651cf9,b6da903e,914448c,6cd9d4ca,896878f5,282be4c8,cc06e2a4,4078575) +,S(733ce80d,a955a8a2,6902c956,33e62a98,5192474b,5af207da,6df7b4fd,5fc61cd4,f5435a2b,d2badf7d,485a4d8b,8db9fcce,3e1ef8e0,201e4578,c54673bc,1dc5ea1d) +,S(15d94412,54945064,cf1a1c33,bbd3b49f,8966c509,2171e699,ef258dfa,b81c045c,d56eb30b,69463e72,34f5137b,73b84177,434800ba,cebfc685,fc37bbe9,efe4070d) +,S(a1d0fcf2,ec9de675,b612136e,5ce70d27,1c21417c,9d2b8aaa,ac138599,d0717940,edd77f50,bcb5a3ca,b2e90737,309667f2,641462a5,4070f3d5,19212d39,c197a629) +,S(e22fbe15,c0af8ccc,5780c073,5f84dbe9,a790bade,e8245c06,c7ca3733,1cb36980,a855bab,ad5cd60c,88b430a6,9f53a1a7,a3828915,4964799b,e43d06d7,7d31da06) +,S(311091dd,9860e8e2,ee13473,c1155f5f,69635e39,4704eaa7,40094522,46cfa9b3,66db656f,87d1f04f,ffd1f047,88c06830,871ec5a6,4feee685,bd80f0b1,286d8374) +,S(34c1fd04,d301be89,b31c0442,d3e6ac24,883928b4,5a934078,1867d423,2ec2dbdf,9414685,e97b1b59,54bd46f7,30174136,d57f1cee,b487443d,c5321857,ba73abee) +,S(f219ea5d,6b54701c,1c14de5b,557eb42a,8d13f3ab,bcd08aff,cc2a5e6b,49b8d63,4cb95957,e83d40b0,f73af454,4cccf6b1,f4b08d3c,7b27fb8,d8c2962a,400766d1) +,S(d7b8740f,74a8fbaa,b1f683db,8f45de26,543a5490,bca62708,72369124,69a0b448,fa779681,28d9c92e,e1010f33,7ad4717e,ff15db5e,d3c049b3,411e0315,eaa4593b) +,S(32d31c22,2f8f6f0e,f86f7c98,d3a3335e,ad5bcd32,abdd9428,9fe4d309,1aa824bf,5f3032f5,892156e3,9ccd3d79,15b9e1da,2e6dac9e,6f26e961,118d14b8,462e1661) +,S(7461f371,914ab326,71045a15,5d9831ea,8793d77c,d59592c4,340f86cb,c18347b5,8ec0ba23,8b96bec0,cbdddcae,aa44254,2eee1ff5,c986ea6,b39847b3,cc092ff6) +,S(ee079adb,1df18600,74356a25,aa38206a,6d716b2c,3e67453d,287698ba,d7b2b2d6,8dc2412a,afe3be5c,4c5f37e0,ecc5f9f6,a446989a,f04c4e25,ebaac479,ec1c8c1e) +,S(16ec93e4,47ec83f0,467b1830,2ee620f7,e65de331,874c9dc7,2bfd8616,ba9da6b5,5e463115,e62fb40,d0e8c2a7,ca5804a3,9d58186a,50e49713,9626778e,25b0674d) +,S(eaa5f980,c245f6f0,38978290,afa70b6b,d8855897,f98b6aa4,85b96065,d537bd99,f65f5d3e,292c2e08,19a52839,1c994624,d784869d,7e6ea67f,b1804102,4edc07dc) +,S(78c9407,544ac132,692ee191,a024399,58ae0487,7151342e,a96c4b6b,35a49f51,f3e03191,69eb9b85,d5404795,539a5e68,fa1fbd58,3c064d24,62b675f1,94a3ddb4) +,S(494f4be2,19a1a770,16dcd838,431aea00,1cdc8ae,7a6fc688,726578d9,702857a5,42242a96,9283a5f3,39ba7f07,5e36ba2a,f925ce30,d767ed6e,55f4b031,880d562c) +,S(a598a803,da6d86c,6bc7f2f5,144ea549,d28211ea,58faa70e,bf4c1e66,5c1fe9b5,204b5d6f,84822c30,7e4b4a71,40737aec,23fc63b6,5b35f86a,10026dbd,2d864e6b) +,S(c4191636,5abb2b5d,9192f5f,2dbeafec,208f020f,12570a18,4dbadc3e,58595997,4f14351,d0087efa,49d245b3,28984989,d5caf945,f34bfc0,ed16e96b,58fa9913) +,S(841d6063,a586fa47,5a724604,da03bc5b,92a2e0d2,e0a36acf,e4c73a55,14742881,73867f5,9c0659e8,1904f9a1,c7543698,e62562d6,744c169c,e7a36de0,1a8d6154) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 64 +,S(5e95bb39,9a6971d3,76026947,f89bde2f,282b3381,928be4d,ed112ac4,d70e20d5,39f23f36,6809085b,eebfc711,81313775,a99c9aed,7d8ba38b,161384c7,46012865) +,S(36e4641a,53948fd4,76c39f8a,99fd974e,5ec07564,b5315d8b,f99471bc,a0ef2f66,d2424b1b,1abe4eb8,164227b0,85c9aa94,56ea1349,3fd563e0,6fd51cf5,694c78fc) +,S(336581e,a7bfbbb2,90c191a2,f507a41c,f5643842,170e914f,aeab27c2,c579f726,ead12168,595fe1be,99252129,b6e56b33,91f7ab14,10cd1e0e,f3dcdcab,d2fda224) +,S(8ab89816,dadfd6b6,a1f2634f,cf00ec84,3781025,ed6890c4,84974270,6bd43ede,6fdcef09,f2f6d0a0,44e654ae,f624136f,503d459c,3e898458,58a47a91,29cdd24e) +,S(1e33f1a7,46c9c577,8133344d,9299fcaa,20b0938e,8acff254,4bb40284,b8c5fb94,6066025,7dd11b3a,a9c8ed61,8d24edff,2306d320,f1d03010,e33a7d20,57f3b3b6) +,S(85b7c1dc,b3cec1b7,ee7f30de,d79dd20a,ed1f4cc,18cbcfcf,a410361f,d8f08f31,3d98a9cd,d026dd43,f39048f2,5a8847f4,fcafad18,95d7a633,c6fed3c3,5e999511) +,S(29df9fbd,8d9e4650,9275f4b1,25d6d45d,7fbe9a3b,878a7af8,72a28006,61ac5f51,b4c4fe9,9c775a60,6e2d8862,179139ff,da61dc86,1c019e55,cd2876eb,2a27d84b) 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+,S(463e2763,d885f958,fc66cdd2,2800f0a4,87197d0a,82e377b4,9f80af87,c897b065,bfefacdb,e5d0fd7,df3a311a,94de062b,26b80c61,fbc97508,b7999267,1ef7ca7f) +,S(7985fdfd,127c0567,c6f53ec1,bb63ec31,58e597c4,bfe747c,83cddfc9,10641917,603c12da,f3d9862e,f2b25fe1,de289aed,24ed291e,ec67087,3a5bd56,7f32ed03) +,S(74a1ad6b,5f76e39d,b2dd2494,10eac7f9,9e74c59c,b83d2d0e,d5ff1543,da7703e9,cc6157ef,18c9c63c,d6193d83,631bbea0,93e0968,942e8c33,d5737fd7,90e0db08) +,S(30682a50,703375f6,2d41666,4ba19b7f,c9bab42c,72747463,a71d0896,b22f6da3,553e04f6,b018b4fa,6c8f39e7,f311d317,6290d0e0,f19ca73f,17714d99,77a22ff8) +,S(9e2158f0,d7c0d5f2,6c3791ef,efa79597,654e7a2b,2464f52b,1ee6c134,7769ef57,712fcdd,1b9053f0,9003a348,1fa7762e,9ffd7c8e,f35a3850,9e2fbf26,29008373) +,S(176e2698,9a43c9cf,eba4029c,202538c2,8172e566,e3c4fce7,322857f3,be327d66,ed8cc9d0,4b29eb87,7d270b48,78dc43c1,9aefd31f,4eee09ee,7b47834c,1fa4b1c3) 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+,S(53f86d45,61deef96,ca88a685,38fd35ec,a95740a4,3a52c601,faaad0c2,aa3ab72f,667a6ece,bfb97682,c5e9e5df,b6d29156,9604f63,d9ab00ab,8cb10000,e6b01514) +,S(20990660,f1055420,b885fb0a,38824740,3b141c37,5aa20dce,8a29191a,e77bbb16,7d434476,9e302e38,9e14c02e,f5fd8a5c,64cfcf3d,e9813f1c,f53bc6d3,4da93559) +,S(1e70619c,381a6adc,e5d925e0,c9c74f97,3c02ff64,ff2662d7,34efc485,d2bce895,c923f771,f543ffed,42935c28,8474aaaf,80a46ad4,3c579ce0,bb5e663d,668b24b3) +#endif +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(8f68b9d2,f63b5f33,9239c1ad,981f162e,e88c5678,723ea335,1b7b444c,9ec4c0da,662a9f2d,ba063986,de1d90c2,b6be215d,bbea2cfe,95510bfd,f23cbf79,501fff82) +#if ECMULT_TABLE_SIZE(WINDOW_G) > 1 +,S(38381dbe,2e509f22,8ba93363,f2451f08,fd845cb3,51d954be,18e2b8ed,d23809fa,e4a32d0a,fb917dc,b09405a5,520eb1cc,3681fccb,32d8f24d,bd707518,331fed52) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 2 +,S(49262724,e4372ae6,f6921b82,aa4699a1,f186aea5,40122630,3ea42648,97c2a310,1337e773,bca7abf9,5a2cfa56,9714303b,6d163612,a75ff8ce,c41b681,5e27ded0) +,S(e306568c,1a240c90,d5e253b3,e477e2f8,4dcc1a56,ff06db8d,1384b079,cebd2d31,eac6fe3,78934260,888f2b10,7f7d0db6,ffbc8042,be373826,692b4083,92546e44) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 4 +,S(3b9e100e,2428cefc,271b0e76,23fbd633,74ebf8d9,aab41dd9,c530c39e,363136b0,fafb9815,2d16bb71,df1533eb,8f475b26,a2ae28a3,3ad31f81,953ec16f,6cdbbc8a) +,S(bb0aad49,712ac9a9,2b76ca80,f5dedef7,17ca0768,8107beee,9608f047,2f485d3f,ea699c53,c5835479,8ecd201f,7297da34,895a5afa,31670bff,e7939250,3ca2f975) +,S(79090ac8,e4eefcc0,d4e8eb19,7afe0113,e1e58b4d,b01123de,4aeed33a,36718dc9,eaab722b,91905b8f,13d816cb,cd9aaa56,dd36afb7,ba9008b,963322b1,1cfae7c5) +,S(e77c81ad,e9f97b55,1c03dbbc,e549ba66,8dd71de7,cd775ad2,a269694c,7f60c7d1,3acf1478,eef81321,c5fc3b32,3ea81543,631470f7,1c2986d3,4ec581f2,82d72449) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 8 +,S(de2b5ce9,dbce511c,f2d8878e,3ded87cc,3d633dae,a2d45341,501fb3a4,55ccf6b0,f10576f3,d3c3e0e1,bbf717e9,8b1a3744,65b8c45a,c66318bb,34829eb7,11100666) +,S(d07bddff,d491a2fe,1ea59fbd,7c121217,29659ca5,de46658b,26b1460b,13c03c56,b2ad4708,cd3c97dd,f9c40e2,a1de04d5,61d963ff,8cc2eea7,6be3f60c,2b405ce7) +,S(82403e7c,5d3016af,3765ec4c,396ce8e1,f8da45c,434b8257,10edab41,bb6a4d51,d09661b,e27cb767,4456badd,b3e84051,99ab6ccc,4ec67c1b,11e92ead,7b463b19) +,S(eadc3131,fbd626f5,263faa58,c4caf4d9,930f933d,9541c23f,438cb486,750680cf,d3c977b1,c9b4a897,5c64b36c,972d5d01,a388fb9d,c3791a74,36094ff1,2c87a914) +,S(3903ee5f,6758ff24,c518a4b3,86748f4f,36bdd65c,b77e78ac,609f2909,fc7987d9,e92194e,a15241d6,40915934,bd234749,8d222a18,4927a8da,b0cfe2ae,182be83b) +,S(d0803b78,39ab48a3,8475bdcc,f9a9f219,5759c343,dbbf8e93,23e1f882,5be6a5d9,2cc3b180,ff29c97e,a12ec15f,b38bafa4,4ecf06c,e51d1d24,2894a926,64582f0b) +,S(1f56f096,b18a7499,a153a5ae,acf8be05,8496dd23,da8e6c19,215628fb,c0567ed0,fef22b8a,3b52f490,83004436,b65cd69,c94189f4,1a93c0d5,1fc13cb4,379dff58) +,S(1d9f69b1,a4a47432,e386f525,234aa30,79e947cf,cf203297,4e0fc05b,638e213b,d898ec17,949c0761,b38500c3,a2b1da24,5438d5b3,d3f6f720,41f15d6e,e4d4ccbb) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 16 +,S(128c913,4d9dcb78,12fc4361,5c67ad0,55213354,dc8008b1,aeb5a9dc,fb629efd,fee3e54a,dd152610,d9725936,99d662,c160c8e4,ec6f76e4,5ff41818,be67c96) +,S(21ec012f,5a95b94d,244b8d51,9756075c,301f2854,8e2c51fc,49c0e3d9,d1a9685,2def2105,77af497f,4c7fef71,6949f28e,7418eda6,fd5fc162,d128de19,3cde08ae) +,S(688f5202,fb9d8bc0,9e480e89,4c7cfc74,761c3be7,7dafb11c,58422836,3e331cc5,96ba7d59,63b541a7,2ec7cabd,92403434,1a393eaf,89eebd94,62d9c218,c7302cd3) +,S(fb5c9eea,1cb9a8f5,b3314c30,a50d35,744d0ef,e8bbf68,2e4d3ab4,f7f02baf,29fb8844,e18fc551,fb28bd26,95c5e95c,6868e0cc,7e526af0,91157e9d,fb630418) +,S(f1479fe2,2eedae3f,2f5f6a5d,84a9de1d,593168ec,7b52380d,e0b3625c,cac03421,1a642d5d,2fd88b82,13b50d1a,3fbd3419,c0b4630c,48352131,cb856b2e,22764606) +,S(2273edc5,e8199774,93c5b0e0,9fe0effa,f60f7b,2898565a,69f5c7b2,bf1a7950,b3aea238,8fd978d9,29f1a1df,98495358,b64691fc,4f50b530,906ae39e,fe7bda12) +,S(99f8480c,30504378,b47d10b3,2b39da2f,496d59f4,b1462856,56f05ad7,9bef5214,e001d55d,8e224286,8d8bd397,cb5aa99e,d930e437,e4e62151,71da7ae6,6264b2cd) +,S(382257f,e4751280,d74fdfc6,993c8642,9c000d5,87f57635,bc9656ba,996a6f1f,c2dc733d,fe52cb06,265a4f1d,a6b5f1f9,30dbfa39,e3659973,1c672aad,8b51d474) +,S(23a13632,9125386b,e45f4e1b,2acc847a,62e5eaf9,f6d5f452,6e145e7f,ecefb24b,9129777e,643ba22,2bf817a1,af7155f1,413cc370,3734ba6f,49f15f55,996854c0) +,S(6659ea60,58a664de,a35791a1,8c5cded4,8cf5593d,c440b9d4,8a30ac35,79149f0b,2adcc705,a85d836f,b347b69e,742fc6c3,5300d1d8,e534f1ff,c820c6d6,b2f2199d) +,S(52dc3bc6,e1acd3b4,7ece6f6c,89fd2a3e,2899b487,41421033,37a67dd,1ba939fc,5daeb346,32ad107f,bd83d9da,15a3c4ff,1e8f6ba3,ee5193e2,709e89c3,43d05746) +,S(524b2a97,93cd5745,bd9189ba,9c947bc1,693fbceb,75f074f6,17376b10,d5573551,9e8099d6,cb23fb1a,9deb92cc,3e8a2fb5,a6865ac6,3dececa0,2d146e1b,bcc80b71) +,S(732181a8,e2bc5953,923e6c3d,d960e9b7,525b7b95,e5906997,6fe79156,1782756e,2516c6b3,5592eb0a,42ba193c,bae98ab,e3c42d96,148f1d84,edac621a,722e4823) +,S(b8e8942d,926e38fd,f338496a,c2ef6fca,49a7ae3d,f76eb15d,8d570111,e502664b,7990d56e,7dea588e,4d670ba2,2031e6c7,97248641,69e51d77,f792f5ed,befaf8eb) +,S(144e88f6,3e73abff,72cac11e,7ddccf79,19e744e6,278941ae,18d1b797,e098e4e5,63cdbf3,5df3c655,c58197f,ea54633d,158705cf,7dc2eb3b,4e09f83c,3021837c) +,S(9436e3dc,489ecd8e,2d16a739,c9c73e3d,60e5bc93,68157039,75b8efbd,5c3a9081,1460531f,50cb6ebf,d1aa7806,ea84e7f7,8e8d76b2,b3a66d5e,3a0bf60,39a7e59c) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 32 +,S(9d3c2561,7a56d10b,46d9b01a,1710d193,e840e005,df669e76,1936c275,20890db9,6bbdc0bc,4c4ae9bc,c2dfee9b,82da9b94,1f89ffcd,e8af2aca,4467ce3,78521ea3) +,S(29f98e50,f51b7f8b,e18c6ae0,b453c4f2,d0aca5a8,b0e61d2d,dda8506,3fdb76c8,daf3bcdc,ae8e031c,73eb8b21,14058063,58a6ec30,ad379186,df80e3c7,f0e5d28f) +,S(d67d30c2,c71daa36,1805e31,1dd6046e,17a89752,94d76e1a,538af074,4dc22c94,48b9b0e7,12c807b0,b92e690a,a2e068cc,e87ebbbe,aaf4bd96,9c1114bb,a54f670c) +,S(f22c2ba8,8ce9c2e4,b772c9b7,6d03a017,59aa7b9,97a78334,83566027,2fc81649,6aa9e710,f190be16,243a4e0f,1570270a,2d92dca9,8cf99a3,cbc06fdd,f9b7028f) +,S(c5e718d,6b94c83,e52533c9,ef3234f,36b722ed,cfc074a5,eff30969,9ac5f894,24961051,ccfc6619,dd64e810,fa9c504b,f7f8ce9e,cc445d7e,642b3166,eeef436) +,S(26a8bcaa,c836eb7d,57618999,ef87ee4e,c291dc8b,333554a2,c1f66f73,7944d611,c20051ba,7236663,ace2da29,c1e0763c,e57192d0,e199e7a6,c69cc65d,bbbcecc9) +,S(388e3570,fb7b1545,9bf01ba1,7a6496d5,6bcf65e1,764e7aa,2c083346,2dfa098c,2d4e0d22,a2eb0ff0,545561e5,ae344be6,99120d12,45db6bde,a9500f5f,a07be798) +,S(68189bab,b5a0783e,23227efa,4eab2c6e,da2d1c,2ea57fca,7a7f8f72,15250709,bd30bd83,3694d3fa,a14954f6,251445f8,3e42d517,30d30855,a0eb834d,3c7ae856) +,S(642e0823,bb347795,967b7aa9,418a25,ea6ff683,fd7b3d42,b88d90d1,292190ab,db73dea7,86ec052f,e3674892,639daf39,286b4690,63b68903,210639c7,f3b4000f) +,S(9ab6ea81,e5bf5505,751addea,5896afab,7f4eff2f,d3986027,f916835c,64924afa,38c06aa7,4870a5e7,2ff29efc,bce4b3e7,dd951c9b,29966f2b,47d007ac,7629bb6c) +,S(b09805ae,e567f69c,71a98248,e89e64f9,e059e015,bde01a62,dd18158e,e94a8ee7,62aea16a,7ec912ef,cc5382eb,6d220ac3,dea885a8,e3da12c,8147b28e,1983d221) +,S(3d632a5b,636ed5a3,4a58bfbc,9831691a,91d6b5f0,975bfb5a,82b4c1bc,107e6e5,577a449e,75bf16d9,2eb6ba0f,9cb4d496,7a7ee09c,f1605aef,682cfa31,cf395a1c) +,S(6b821bf0,f70d5ff2,ceedb69d,d96ac8bb,b51e3635,3a36d50a,b1c1a697,40cef707,5212ce11,993fc120,88028674,5cddea94,6371b4,dfa2f47a,6d83b789,c6d12e5d) +,S(bf294951,4496fe0b,8527740b,5cd9394e,dc33b330,c91d996c,789db854,45728b23,790aede5,da35ce7a,343f745c,410de38f,4c53bc2a,bb41bbae,c13272b1,e912782c) +,S(a55354c3,82bf968a,16668267,c4498946,4906f69b,114f6f06,742b6035,1d75ec80,2809bddc,45661a5f,28b31967,6cdfb5b1,9dd6d296,d1828c88,179a630c,ca5962e8) +,S(fc015036,abcd8311,bbfa1574,ffb4980f,b893f8af,84f519f4,5a6fa344,2649a693,d0f6a278,1946e04b,385cd004,29acd3f6,f5542aca,3e7c789,657f676b,f19db819) +,S(6164410d,9f81f352,272a799f,b4afbe24,59caea6c,511fa4ea,b7578980,d9a7aae,92bc1480,ba19fcd,3cbee69c,95b9396f,4982fff5,d4e7dac0,abec7153,ee5a7966) +,S(ef816535,8de9d737,728f9a9b,3182b4f5,6e25917d,1ec05fc6,faa0fc85,170b5f2d,dc372426,403ca9c4,50649df8,8b6fd32d,f1721dc,cb1c7d7e,155c83ea,747ec595) +,S(428c34b9,89a436dd,dc704e68,170d2c40,178c5646,841eb2e2,642c0a48,8987a8ed,b1f24158,251c4646,ca04dc3e,64369634,3836f97e,71945f4f,51237abd,3aeebe06) +,S(6eb61782,f909157b,415e6243,7bebbd6a,5f19da73,7eda64a5,5acfe206,65417a9e,4fe7c546,baedf2b1,6c92f168,f99c42f6,af03edee,290ecc39,4c4efff,e8577b72) +,S(992e0af1,466d4fec,5ef83009,98ce31df,cb6f9573,d14c1646,e4371c62,a376fa4b,d0e3da69,1e4396b2,eb01e3a9,964365,50d000e6,31d79ae3,871690d5,29f9e825) +,S(fedb564b,adc70078,f20f31d1,12496934,513e9903,8cf5b9c3,1084383,5721d11,1a8e2a49,57e8420c,f2d5d97d,657f1602,ba26ae87,d5408b2f,a9448def,38157a39) +,S(f3f2068a,4dd89d18,1247088d,3c424916,3e683226,6274b575,e54430d0,73b24bd,f2aabd19,a7f462,1426ab1e,e0aa7e33,12381c5f,e1f1cf0e,75c1a7f7,7ba2bfa8) +,S(32b9225e,4217a359,8de4e7c1,476a8581,5b6aa458,d93dae02,b3d30772,3ca13680,7466e804,26856340,12985683,dd071e97,53246214,733808a3,96f35d0e,5a133802) +,S(85008a87,385ed6b0,4ff89979,2eb592f9,ee6c6b93,fa24dc7f,c6299b9f,dae64a8a,1f279e2b,8a5b0576,fb9569f6,c0825876,84b5b38f,a250e362,2ae6e284,a504a2df) +,S(4dac7833,ebbeab0b,ec8edac7,cfc49bfd,b835362,f0130e9,e44452f6,a82effd4,fc9d1970,f230aa68,6114ada5,7b4237dd,133dc3b5,db8ec1f0,ccd09aa,23c740a) +,S(9b755881,45a65d54,19b40226,e535df5b,4b44de41,1b93d71,31f3102,d56dbeeb,d0324171,d6937b7,c9b38290,7dbba3b5,c1516061,59e7ce1f,a1ed9d11,e089a02d) +,S(1bd6ceb9,2592a7d7,a66e6e8b,1b645db5,98b525ca,461dc4bd,b583ed9a,cbbc8bdd,9a59de87,84a98bea,48b7abb1,a5b7055,5a1c4ce5,551cde4e,7b790ac4,9a29944c) +,S(25a8b2b9,3b360941,6525b08a,7fe786e9,6b3a3c7d,8b444637,268f5355,bd5b56ee,3c58ccf7,5734687f,dbd027e6,3ec6c550,45f131ae,df71a40a,c45e4e8b,965f22ec) +,S(244b2833,27c33efb,221a5767,15225d6a,bf5a1caa,8da543c0,d88b21e5,17ed9f5f,220036ac,e48d8953,5aecec92,a29f5012,37f83ce6,44380db,c229f0bf,c1f53d7d) +,S(6f97ac0f,27b87905,6b442d13,e566978e,91f0cc1d,d6ac1e64,e9764a35,325dd1b7,83c6e70c,fac6c707,226ce1cc,691b38a0,7e937f5a,5f2d9c81,4dd0d3ff,9f433d32) +,S(72c5d60f,eb014e2d,ba8265ca,d454f261,2d6abcd4,b2236bad,c94c4801,561dce1f,e3119a19,7ef91963,b3b28216,3c5d3acb,97b281b6,d246cbf0,690b40da,63978fe2) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 64 +,S(a96d2da0,1b10186,6998659d,f441a1b0,2af32b94,aae8c6ea,707d9ed0,d5f33825,660d7d83,5da5235,9f7cfd41,28c370aa,5659ea71,16a91690,6c0e8108,a513f9f) +,S(2cce6f63,4d815ecc,1981d200,87616677,d906aa27,990c4875,17314dc5,5be3c4fa,615210dd,bd599e91,1b6f997a,fd05475,b33cb274,c9ecb6e5,d3c23323,beba4b50) +,S(992b0084,525dd399,d98602d9,8b8d53b2,4558fafc,758a2f46,60e89bd6,a645f0c4,83ca98d2,26545a29,8c45f40b,11420602,f5a5c70e,595eea57,2da64d61,a4e2f98d) +,S(434efb45,3089619f,cc761ee4,3fd4b77d,c6b0c69e,b45eb88e,44ef766e,9beb7357,3dbb0d6d,1c0b92e,5965586d,236c0be9,26967ac8,830b9bd0,1e9efc2,2a9291ea) 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+,S(d404209e,8530d674,9bb88a5,525211a1,19fb2523,63e2698,6bd03080,4c49c123,3763fd68,fdb85d19,e8506275,3b5a327c,46ef87be,8a3432c5,62bcc622,40a7a128) +,S(f3abf8cf,c232849,58e330c2,fc327ac4,d40b4497,f422aa4e,d42e9381,9bffdd96,50861f05,d831327c,3e907643,2d7a7621,d1dfe9ec,7ccf2061,cc720e9a,7d5b0d5d) +,S(78a32893,2ee9dbfb,3f84755a,651b9d23,5cf92b46,c3e4bb4e,57b7ff6f,7c874dea,925b783a,966721f4,6eaccd87,495eab7d,b3c36eb2,92c1a473,b4617f6b,9ac85895) +,S(8165210f,5d146f8a,1ac1ed91,a7bb678d,1b7d15e4,3ed55e8d,f6503209,a750cd4a,fe390d3a,19e22bdc,cbd45875,e396c713,85954166,a1edb63a,384b8587,915d260d) +,S(75269de8,6c2f3d34,cdf17dd6,f3efa198,ba73431f,cf0072f3,633ca57f,7dfe3f09,b162a65f,d19927ec,4446e3db,d5ee8850,f463f39f,1df1a0b1,f5ed153e,704805bd) +,S(5e36ce8f,b393949e,5b9c4e10,44fb2ff7,c520a7b7,a9016b38,9544e512,427145b0,7c40e718,292f96a4,1d9822ce,d54aea90,22074c5c,c82ba4e,7d39a4e0,7811614c) 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+,S(a97ba3a5,cc2d5148,3f65c65b,483b3e4f,3c68e46b,87bcfea1,42aeed8,4c42e42b,f4eb1271,3024d1,b7612c3b,7dc3dff8,ca336f23,5db7daf9,3ca6f7d8,1bdb4a21) +,S(3c0396cf,6ff0150c,5b6bd528,4a05d0a5,3b735c85,125bd49c,f62db5b6,4eaf54a7,6ec02c02,f8d9a61e,6bb38d64,daaf3c7d,5324462e,37e2df8d,4ad12bfa,37fd2cb2) +,S(e36fcebc,e406d2a4,ad42f7dd,cc00e9f3,cf385eeb,58cee004,5aab8174,82d84f94,7c98182f,6edd358e,76d66de0,b45ae9f6,5eb75092,1a25194c,1911bd9f,7e6a1a6b) +,S(171ea2ec,b9641746,7d7edcf,ecd6d85,8577322e,6ebac130,5ab57f33,62eb4e37,9f219970,753a7b9c,e4f0c6ce,5745596a,aca8df7b,a73660c9,10add5a9,d4c533d6) +,S(a81d720a,bf8047e8,ef67bf2,71a13f47,636a5f9e,ec425649,1cbdad65,39652f9e,92b37c88,275c022b,635df6b,9246edf5,5dbd8284,eaa4cd7e,3d3ce6d1,c0ca3794) +,S(fa3b6973,4bd9939c,4b6ecd3b,f0a06327,2dc11345,1bddd717,f17b745f,bc3f99b3,f38a4e1a,bcb35097,7acc8f2e,d7f73f75,d406e7f2,22fdeea,2c12d8b9,e5d2dfa3) +,S(c117681e,b55bff67,feda80a1,ae88b4be,c806860d,91916619,288a7ce0,b31aef86,d94ae124,dca678bc,b69c9421,f295405f,d6dc1fac,de96a2b4,58ba5fd2,72faa032) +,S(5ccc0619,92744a57,683de5e3,7b956fa1,fd7287d,b4516fc9,f8635be3,a0db42a9,af1f73ea,4d2168e1,7550ffc,dcbba288,8397931b,e457ce6f,3f8082f8,cfc5f03) +,S(858b019c,8a93524f,6c86738d,cb10b534,d8caaf86,5c0ce75c,fc9b83b0,7c661a0a,7c59d30,1ffc8ce1,b0767ed7,91f84bc5,60bb8ca,ed3464ba,698a53c,160ec570) +,S(e1e217b8,69da0c77,599dcc38,40fa1d8c,a8d08b1a,4ac9a882,da1476cc,cc76fa56,83f0ef77,905f0801,4bd86e17,63b8c2cf,ab2018a8,9586620a,b49a15,9fc314ca) +,S(15a1ae40,b4fc51dc,554b75d4,db0c2bfd,62dfbbfc,dede18e1,4edbb689,91525cff,4f0453b7,e4e0e99d,9663e5c6,bb018007,b52c8e14,d78a28d,c4a888e4,8c4326c2) +,S(1b9a142f,fc4d03ea,4b079f2d,b05fad98,8ddb2d32,b359967f,c173801f,63320825,59bda7ed,5b691c20,4fc8f8ac,f53be298,ae628954,a8134d0f,dd097e67,be9ff9b6) +#endif +}; +#endif +#undef S +#endif diff --git a/src/gen_ecmult_static_pre_g.c b/src/gen_ecmult_static_pre_g.c new file mode 100644 index 0000000..af40d13 --- /dev/null +++ b/src/gen_ecmult_static_pre_g.c @@ -0,0 +1,137 @@ +/***************************************************************************************************** + * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + *****************************************************************************************************/ + +#include +#include + +/* Autotools creates libsecp256k1-config.h, of which ECMULT_WINDOW_SIZE is needed. + ifndef guard so downstream users can define their own if they do not use autotools. */ +#if !defined(ECMULT_WINDOW_SIZE) +#include "libsecp256k1-config.h" +#endif + +/* In principle we could use ASM, but this yields only a minor speedup in + build time and it's very complicated. In particular when cross-compiling, we'd + need to build the ASM for the build and the host machine. */ +#undef USE_EXTERNAL_ASM +#undef USE_ASM_X86_64 + +#include "../include/secp256k1.h" +#include "assumptions.h" +#include "util.h" +#include "field_impl.h" +#include "group_impl.h" +#include "ecmult.h" + +void print_table(FILE *fp, const char *name, int window_g, const secp256k1_gej *gen, int with_conditionals) { + static secp256k1_gej gj; + static secp256k1_ge ge, dgen; + static secp256k1_ge_storage ges; + int j; + int i; + + gj = *gen; + secp256k1_ge_set_gej_var(&ge, &gj); + secp256k1_ge_to_storage(&ges, &ge); + + fprintf(fp, "static const secp256k1_ge_storage %s[ECMULT_TABLE_SIZE(WINDOW_G)] = {\n", name); + fprintf(fp, " S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n", + SECP256K1_GE_STORAGE_CONST_GET(ges)); + + secp256k1_gej_double_var(&gj, gen, NULL); + secp256k1_ge_set_gej_var(&dgen, &gj); + + j = 1; + for(i = 3; i <= window_g; ++i) { + if (with_conditionals) { + fprintf(fp, "#if ECMULT_TABLE_SIZE(WINDOW_G) > %ld\n", ECMULT_TABLE_SIZE(i-1)); + } + for(;j < ECMULT_TABLE_SIZE(i); ++j) { + secp256k1_gej_set_ge(&gj, &ge); + secp256k1_gej_add_ge_var(&gj, &gj, &dgen, NULL); + secp256k1_ge_set_gej_var(&ge, &gj); + secp256k1_ge_to_storage(&ges, &ge); + + fprintf(fp, ",S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32 + ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n", + SECP256K1_GE_STORAGE_CONST_GET(ges)); + } + if (with_conditionals) { + fprintf(fp, "#endif\n"); + } + } + fprintf(fp, "};\n"); +} + +void print_two_tables(FILE *fp, int window_g, const secp256k1_ge *g, int with_conditionals) { + secp256k1_gej gj; + int i; + + secp256k1_gej_set_ge(&gj, g); + print_table(fp, "secp256k1_pre_g", window_g, &gj, with_conditionals); + for (i = 0; i < 128; ++i) { + secp256k1_gej_double_var(&gj, &gj, NULL); + } + print_table(fp, "secp256k1_pre_g_128", window_g, &gj, with_conditionals); +} + +int main(void) { + const secp256k1_ge g = SECP256K1_G; + const secp256k1_ge g_13 = SECP256K1_G_ORDER_13; + const secp256k1_ge g_199 = SECP256K1_G_ORDER_199; + const int window_g_13 = 4; + const int window_g_199 = 8; + FILE* fp; + + fp = fopen("src/ecmult_static_pre_g.h","w"); + if (fp == NULL) { + fprintf(stderr, "Could not open src/ecmult_static_pre_g.h for writing!\n"); + return -1; + } + + fprintf(fp, "/* This file was automatically generated by gen_ecmult_static_pre_g. */\n"); + fprintf(fp, "/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and\n"); + fprintf(fp, " * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.\n"); + fprintf(fp, " */\n"); + fprintf(fp, "#ifndef SECP256K1_ECMULT_STATIC_PRE_G_H\n"); + fprintf(fp, "#define SECP256K1_ECMULT_STATIC_PRE_G_H\n"); + fprintf(fp, "#include \"group.h\"\n"); + fprintf(fp, "#ifdef S\n"); + fprintf(fp, " #error macro identifier S already in use.\n"); + fprintf(fp, "#endif\n"); + fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) " + "SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u," + "0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n"); + fprintf(fp, "#if ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE) > %ld\n", ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE)); + fprintf(fp, " #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting ecmult_static_pre_g.h before the build.\n"); + fprintf(fp, "#endif\n"); + fprintf(fp, "#if defined(EXHAUSTIVE_TEST_ORDER)\n"); + fprintf(fp, "#if EXHAUSTIVE_TEST_ORDER == 13\n"); + fprintf(fp, "#define WINDOW_G %d\n", window_g_13); + + print_two_tables(fp, window_g_13, &g_13, 0); + + fprintf(fp, "#elif EXHAUSTIVE_TEST_ORDER == 199\n"); + fprintf(fp, "#define WINDOW_G %d\n", window_g_199); + + print_two_tables(fp, window_g_199, &g_199, 0); + + fprintf(fp, "#else\n"); + fprintf(fp, " #error No known generator for the specified exhaustive test group order.\n"); + fprintf(fp, "#endif\n"); + fprintf(fp, "#else /* !defined(EXHAUSTIVE_TEST_ORDER) */\n"); + fprintf(fp, "#define WINDOW_G ECMULT_WINDOW_SIZE\n"); + + print_two_tables(fp, ECMULT_WINDOW_SIZE, &g, 1); + + fprintf(fp, "#endif\n"); + fprintf(fp, "#undef S\n"); + fprintf(fp, "#endif\n"); + fclose(fp); + + return 0; +} diff --git a/src/group_impl.h b/src/group_impl.h index 47aea32..6fc58ea 100644 --- a/src/group_impl.h +++ b/src/group_impl.h @@ -10,6 +10,27 @@ #include "field.h" #include "group.h" +#define SECP256K1_G_ORDER_13 SECP256K1_GE_CONST(\ + 0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f,\ + 0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb,\ + 0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2,\ + 0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24\ +) +#define SECP256K1_G_ORDER_199 SECP256K1_GE_CONST(\ + 0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9,\ + 0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18,\ + 0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c,\ + 0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae\ +) +/** Generator for secp256k1, value 'g' defined in + * "Standards for Efficient Cryptography" (SEC2) 2.7.1. + */ +#define SECP256K1_G SECP256K1_GE_CONST(\ + 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,\ + 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,\ + 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,\ + 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL\ +) /* These exhaustive group test orders and generators are chosen such that: * - The field size is equal to that of secp256k1, so field code is the same. * - The curve equation is of the form y^2=x^3+B for some constant B. @@ -21,23 +42,15 @@ */ #if defined(EXHAUSTIVE_TEST_ORDER) # if EXHAUSTIVE_TEST_ORDER == 13 -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f, - 0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb, - 0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2, - 0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24 -); +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_13; + static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST( 0x3d3486b2, 0x159a9ca5, 0xc75638be, 0xb23a69bc, 0x946a45ab, 0x24801247, 0xb4ed2b8e, 0x26b6a417 ); # elif EXHAUSTIVE_TEST_ORDER == 199 -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9, - 0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18, - 0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c, - 0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae -); +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_199; + static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST( 0x2cca28fa, 0xfc614b80, 0x2a3db42b, 0x00ba00b1, 0xbea8d943, 0xdace9ab2, 0x9536daea, 0x0074defb @@ -46,15 +59,7 @@ static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST( # error No known generator for the specified exhaustive test group order. # endif #else -/** Generator for secp256k1, value 'g' defined in - * "Standards for Efficient Cryptography" (SEC2) 2.7.1. - */ -static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST( - 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL, - 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL, - 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL, - 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL -); +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G; static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 7); #endif diff --git a/src/modules/extrakeys/main_impl.h b/src/modules/extrakeys/main_impl.h index 8607bbe..e100305 100644 --- a/src/modules/extrakeys/main_impl.h +++ b/src/modules/extrakeys/main_impl.h @@ -120,12 +120,11 @@ int secp256k1_xonly_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pub VERIFY_CHECK(ctx != NULL); ARG_CHECK(output_pubkey != NULL); memset(output_pubkey, 0, sizeof(*output_pubkey)); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(internal_pubkey != NULL); ARG_CHECK(tweak32 != NULL); if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey) - || !secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32)) { + || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) { return 0; } secp256k1_pubkey_save(output_pubkey, &pk); @@ -137,13 +136,12 @@ int secp256k1_xonly_pubkey_tweak_add_check(const secp256k1_context* ctx, const u unsigned char pk_expected32[32]; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(internal_pubkey != NULL); ARG_CHECK(tweaked_pubkey32 != NULL); ARG_CHECK(tweak32 != NULL); if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey) - || !secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32)) { + || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) { return 0; } secp256k1_fe_normalize_var(&pk.x); @@ -260,7 +258,6 @@ int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_ke int ret; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(keypair != NULL); ARG_CHECK(tweak32 != NULL); @@ -273,7 +270,7 @@ int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_ke } ret &= secp256k1_ec_seckey_tweak_add_helper(&sk, tweak32); - ret &= secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32); + ret &= secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32); secp256k1_declassify(ctx, &ret, sizeof(ret)); if (ret) { diff --git a/src/modules/extrakeys/tests_impl.h b/src/modules/extrakeys/tests_impl.h index 4a59527..dd53f9e 100644 --- a/src/modules/extrakeys/tests_impl.h +++ b/src/modules/extrakeys/tests_impl.h @@ -197,19 +197,19 @@ void test_xonly_pubkey_tweak(void) { CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &internal_xonly_pk, &pk_parity, &internal_pk) == 1); ecount = 0; - CHECK(secp256k1_xonly_pubkey_tweak_add(none, &output_pk, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add(sign, &output_pk, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 2); + CHECK(secp256k1_xonly_pubkey_tweak_add(none, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add(sign, &output_pk, &internal_xonly_pk, tweak) == 1); + CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1); CHECK(secp256k1_xonly_pubkey_tweak_add(verify, NULL, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, NULL, tweak) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); /* NULL internal_xonly_pk zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, NULL) == 0); - CHECK(ecount == 5); + CHECK(ecount == 3); /* NULL tweak zeroes the output_pk */ CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); @@ -274,20 +274,20 @@ void test_xonly_pubkey_tweak_check(void) { CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1); CHECK(secp256k1_xonly_pubkey_from_pubkey(verify, &output_xonly_pk, &pk_parity, &output_pk) == 1); CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &output_xonly_pk) == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(none, buf32, pk_parity, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_xonly_pubkey_tweak_add_check(sign, buf32, pk_parity, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 2); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(none, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_xonly_pubkey_tweak_add_check(sign, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); + CHECK(ecount == 0); CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, tweak) == 1); CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, NULL, pk_parity, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); /* invalid pk_parity value */ CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, 2, &internal_xonly_pk, tweak) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, NULL, tweak) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, NULL) == 0); - CHECK(ecount == 5); + CHECK(ecount == 3); memset(tweak, 1, sizeof(tweak)); CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &internal_xonly_pk, NULL, &internal_pk) == 1); @@ -306,7 +306,7 @@ void test_xonly_pubkey_tweak_check(void) { CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, output_pk32, pk_parity, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, overflows) == 0); CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0); - CHECK(ecount == 5); + CHECK(ecount == 3); secp256k1_context_destroy(none); secp256k1_context_destroy(sign); @@ -479,15 +479,15 @@ void test_keypair_add(void) { memset(overflows, 0xFF, 32); CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(none, &keypair, tweak) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_keypair_xonly_tweak_add(sign, &keypair, tweak) == 0); - CHECK(ecount == 2); + CHECK(secp256k1_keypair_xonly_tweak_add(none, &keypair, tweak) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_keypair_xonly_tweak_add(sign, &keypair, tweak) == 1); + CHECK(ecount == 0); CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 1); CHECK(secp256k1_keypair_xonly_tweak_add(verify, NULL, tweak) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, NULL) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); /* This does not set the keypair to zeroes */ CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0); diff --git a/src/modules/recovery/main_impl.h b/src/modules/recovery/main_impl.h index 9e19f2a..a437387 100644 --- a/src/modules/recovery/main_impl.h +++ b/src/modules/recovery/main_impl.h @@ -84,7 +84,7 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx, return 1; } -static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { +static int secp256k1_ecdsa_sig_recover(const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) { unsigned char brx[32]; secp256k1_fe fx; secp256k1_ge x; @@ -115,7 +115,7 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons secp256k1_scalar_mul(&u1, &rn, message); secp256k1_scalar_negate(&u1, &u1); secp256k1_scalar_mul(&u2, &rn, sigs); - secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1); + secp256k1_ecmult(&qj, &xj, &u2, &u1); secp256k1_ge_set_gej_var(pubkey, &qj); return !secp256k1_gej_is_infinity(&qj); } @@ -140,7 +140,6 @@ int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubk secp256k1_scalar m; int recid; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(msghash32 != NULL); ARG_CHECK(signature != NULL); ARG_CHECK(pubkey != NULL); @@ -148,7 +147,7 @@ int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubk secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature); VERIFY_CHECK(recid >= 0 && recid < 4); /* should have been caught in parse_compact */ secp256k1_scalar_set_b32(&m, msghash32, NULL); - if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) { + if (secp256k1_ecdsa_sig_recover(&r, &s, &q, &m, recid)) { secp256k1_pubkey_save(pubkey, &q); return 1; } else { diff --git a/src/modules/recovery/tests_impl.h b/src/modules/recovery/tests_impl.h index 40dba87..2fcd46d 100644 --- a/src/modules/recovery/tests_impl.h +++ b/src/modules/recovery/tests_impl.h @@ -92,20 +92,20 @@ void test_ecdsa_recovery_api(void) { /* Check bad contexts and NULLs for recovery */ ecount = 0; - CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 0); - CHECK(ecount == 2); + CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 1); + CHECK(ecount == 0); CHECK(secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 2); + CHECK(ecount == 0); CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1); - CHECK(ecount == 2); + CHECK(ecount == 0); CHECK(secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); CHECK(secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0); - CHECK(ecount == 5); + CHECK(ecount == 3); /* Check NULLs for conversion */ CHECK(secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1); diff --git a/src/modules/schnorrsig/main_impl.h b/src/modules/schnorrsig/main_impl.h index 693b78f..8b21553 100644 --- a/src/modules/schnorrsig/main_impl.h +++ b/src/modules/schnorrsig/main_impl.h @@ -216,7 +216,6 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha int overflow; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(sig64 != NULL); ARG_CHECK(msg != NULL || msglen == 0); ARG_CHECK(pubkey != NULL); @@ -241,7 +240,7 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha /* Compute rj = s*G + (-e)*pkj */ secp256k1_scalar_negate(&e, &e); secp256k1_gej_set_ge(&pkj, &pk); - secp256k1_ecmult(&ctx->ecmult_ctx, &rj, &pkj, &e, &s); + secp256k1_ecmult(&rj, &pkj, &e, &s); secp256k1_ge_set_gej_var(&r, &rj); if (secp256k1_ge_is_infinity(&r)) { diff --git a/src/modules/schnorrsig/tests_impl.h b/src/modules/schnorrsig/tests_impl.h index 59357af..096dbad 100644 --- a/src/modules/schnorrsig/tests_impl.h +++ b/src/modules/schnorrsig/tests_impl.h @@ -193,22 +193,22 @@ void test_schnorrsig_api(void) { ecount = 0; CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &keypairs[0], NULL) == 1); - CHECK(secp256k1_schnorrsig_verify(none, sig, msg, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 1); - CHECK(secp256k1_schnorrsig_verify(sign, sig, msg, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 2); + CHECK(secp256k1_schnorrsig_verify(none, sig, msg, sizeof(msg), &pk[0]) == 1); + CHECK(ecount == 0); + CHECK(secp256k1_schnorrsig_verify(sign, sig, msg, sizeof(msg), &pk[0]) == 1); + CHECK(ecount == 0); CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &pk[0]) == 1); - CHECK(ecount == 2); + CHECK(ecount == 0); CHECK(secp256k1_schnorrsig_verify(vrfy, NULL, msg, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 3); + CHECK(ecount == 1); CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, sizeof(msg), &pk[0]) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, 0, &pk[0]) == 0); - CHECK(ecount == 4); + CHECK(ecount == 2); CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), NULL) == 0); - CHECK(ecount == 5); + CHECK(ecount == 3); CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &zero_pk) == 0); - CHECK(ecount == 6); + CHECK(ecount == 4); secp256k1_context_destroy(none); secp256k1_context_destroy(sign); diff --git a/src/secp256k1.c b/src/secp256k1.c index 9908cab..9066920 100644 --- a/src/secp256k1.c +++ b/src/secp256k1.c @@ -73,7 +73,6 @@ static const secp256k1_callback default_error_callback = { }; struct secp256k1_context_struct { - secp256k1_ecmult_context ecmult_ctx; secp256k1_ecmult_gen_context ecmult_gen_ctx; secp256k1_callback illegal_callback; secp256k1_callback error_callback; @@ -81,7 +80,6 @@ struct secp256k1_context_struct { }; static const secp256k1_context secp256k1_context_no_precomp_ = { - { 0 }, { 0 }, { secp256k1_default_illegal_callback_fn, 0 }, { secp256k1_default_error_callback_fn, 0 }, @@ -103,9 +101,6 @@ size_t secp256k1_context_preallocated_size(unsigned int flags) { if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; } - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { - ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; - } return ret; } @@ -115,9 +110,6 @@ size_t secp256k1_context_preallocated_clone_size(const secp256k1_context* ctx) { if (secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)) { ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE; } - if (secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)) { - ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE; - } return ret; } @@ -139,7 +131,6 @@ secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigne ret->illegal_callback = default_illegal_callback; ret->error_callback = default_error_callback; - secp256k1_ecmult_context_init(&ret->ecmult_ctx); secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx); /* Flags have been checked by secp256k1_context_preallocated_size. */ @@ -147,9 +138,6 @@ secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigne if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) { secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &prealloc); } - if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) { - secp256k1_ecmult_context_build(&ret->ecmult_ctx, &prealloc); - } ret->declassify = !!(flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY); return (secp256k1_context*) ret; @@ -176,7 +164,6 @@ secp256k1_context* secp256k1_context_preallocated_clone(const secp256k1_context* ret = (secp256k1_context*)prealloc; memcpy(ret, ctx, prealloc_size); secp256k1_ecmult_gen_context_finalize_memcpy(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx); - secp256k1_ecmult_context_finalize_memcpy(&ret->ecmult_ctx, &ctx->ecmult_ctx); return ret; } @@ -194,7 +181,6 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) { void secp256k1_context_preallocated_destroy(secp256k1_context* ctx) { ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp); if (ctx != NULL) { - secp256k1_ecmult_context_clear(&ctx->ecmult_ctx); secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx); } } @@ -458,7 +444,6 @@ int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_s secp256k1_scalar r, s; secp256k1_scalar m; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(msghash32 != NULL); ARG_CHECK(sig != NULL); ARG_CHECK(pubkey != NULL); @@ -467,7 +452,7 @@ int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_s secp256k1_ecdsa_signature_load(ctx, &r, &s, sig); return (!secp256k1_scalar_is_high(&s) && secp256k1_pubkey_load(ctx, &q, pubkey) && - secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m)); + secp256k1_ecdsa_sig_verify(&r, &s, &q, &m)); } static SECP256K1_INLINE void buffer_append(unsigned char *buf, unsigned int *offset, const void *data, unsigned int len) { @@ -685,24 +670,23 @@ int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char * return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak32); } -static int secp256k1_ec_pubkey_tweak_add_helper(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_ge *p, const unsigned char *tweak32) { +static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *p, const unsigned char *tweak32) { secp256k1_scalar term; int overflow = 0; secp256k1_scalar_set_b32(&term, tweak32, &overflow); - return !overflow && secp256k1_eckey_pubkey_tweak_add(ecmult_ctx, p, &term); + return !overflow && secp256k1_eckey_pubkey_tweak_add(p, &term); } int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) { secp256k1_ge p; int ret = 0; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(pubkey != NULL); ARG_CHECK(tweak32 != NULL); ret = secp256k1_pubkey_load(ctx, &p, pubkey); memset(pubkey, 0, sizeof(*pubkey)); - ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &p, tweak32); + ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&p, tweak32); if (ret) { secp256k1_pubkey_save(pubkey, &p); } @@ -740,7 +724,6 @@ int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey int ret = 0; int overflow = 0; VERIFY_CHECK(ctx != NULL); - ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(pubkey != NULL); ARG_CHECK(tweak32 != NULL); @@ -748,7 +731,7 @@ int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey); memset(pubkey, 0, sizeof(*pubkey)); if (ret) { - if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) { + if (secp256k1_eckey_pubkey_tweak_mul(&p, &factor)) { secp256k1_pubkey_save(pubkey, &p); } else { ret = 0; diff --git a/src/tests.c b/src/tests.c index ce8df45..8dc4a32 100644 --- a/src/tests.c +++ b/src/tests.c @@ -273,22 +273,22 @@ void run_context_tests(int use_prealloc) { CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1); VG_CHECK(&sig, sizeof(sig)); CHECK(ecount2 == 10); - CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0); - CHECK(ecount2 == 11); + CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 1); + CHECK(ecount2 == 10); CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 12); + CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 1); + CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1); CHECK(ecount == 2); - CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0); - CHECK(ecount2 == 13); + CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 1); + CHECK(ecount2 == 10); CHECK(secp256k1_ec_pubkey_negate(vrfy, &pubkey) == 1); CHECK(ecount == 2); CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1); CHECK(ecount == 2); CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0); - CHECK(ecount2 == 14); + CHECK(ecount2 == 11); CHECK(secp256k1_ec_pubkey_negate(vrfy, &zero_pubkey) == 0); CHECK(ecount == 3); CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1); @@ -298,9 +298,9 @@ void run_context_tests(int use_prealloc) { CHECK(secp256k1_context_randomize(vrfy, NULL) == 1); CHECK(ecount == 3); CHECK(secp256k1_context_randomize(sign, ctmp) == 1); - CHECK(ecount2 == 14); + CHECK(ecount2 == 11); CHECK(secp256k1_context_randomize(sign, NULL) == 1); - CHECK(ecount2 == 14); + CHECK(ecount2 == 11); secp256k1_context_set_illegal_callback(vrfy, NULL, NULL); secp256k1_context_set_illegal_callback(sign, NULL, NULL); @@ -314,8 +314,8 @@ void run_context_tests(int use_prealloc) { CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL)); /* try verifying */ - CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg)); - CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); /* cleanup */ if (use_prealloc) { @@ -3416,6 +3416,84 @@ void run_group_decompress(void) { /***** ECMULT TESTS *****/ +void test_pre_g_table(const secp256k1_ge_storage * pre_g, size_t n) { + /* Tests the pre_g / pre_g_128 tables for consistency. + * For independent verification we take a "geometric" approach to verification. + * We check that every entry is on-curve. + * We check that for consecutive entries p and q, that p + gg - q = 0 by checking + * (1) p, gg, and -q are colinear. + * (2) p, gg, and -q are all distinct. + * where gg is twice the generator, where the generator is the first table entry. + * + * Checking the table's generators are correct is done in run_ecmult_pre_g. + */ + secp256k1_gej g2; + secp256k1_ge p, q, gg; + secp256k1_fe dpx, dpy, dqx, dqy; + size_t i; + + CHECK(0 < n); + + secp256k1_ge_from_storage(&p, &pre_g[0]); + secp256k1_fe_verify(&p.x); + secp256k1_fe_verify(&p.y); + CHECK(secp256k1_ge_is_valid_var(&p)); + + secp256k1_gej_set_ge(&g2, &p); + secp256k1_gej_double_var(&g2, &g2, NULL); + secp256k1_ge_set_gej_var(&gg, &g2); + for (i = 1; i < n; ++i) { + secp256k1_fe_negate(&dpx, &p.x, 1); secp256k1_fe_add(&dpx, &gg.x); secp256k1_fe_normalize_weak(&dpx); + secp256k1_fe_negate(&dpy, &p.y, 1); secp256k1_fe_add(&dpy, &gg.y); secp256k1_fe_normalize_weak(&dpy); + /* Check that p is not equal to gg */ + CHECK(!secp256k1_fe_normalizes_to_zero_var(&dpx) || !secp256k1_fe_normalizes_to_zero_var(&dpy)); + + secp256k1_ge_from_storage(&q, &pre_g[i]); + secp256k1_fe_verify(&q.x); + secp256k1_fe_verify(&q.y); + CHECK(secp256k1_ge_is_valid_var(&q)); + + secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x); secp256k1_fe_normalize_weak(&dqx); + dqy = q.y; secp256k1_fe_add(&dqy, &gg.y); secp256k1_fe_normalize_weak(&dqy); + /* Check that -q is not equal to gg */ + CHECK(!secp256k1_fe_normalizes_to_zero_var(&dqx) || !secp256k1_fe_normalizes_to_zero_var(&dqy)); + + /* Check that -q is not equal to p */ + CHECK(!secp256k1_fe_equal_var(&dpx, &dqx) || !secp256k1_fe_equal_var(&dpy, &dqy)); + + /* Check that p, -q and gg are colinear */ + secp256k1_fe_mul(&dpx, &dpx, &dqy); + secp256k1_fe_mul(&dpy, &dpy, &dqx); + CHECK(secp256k1_fe_equal_var(&dpx, &dpy)); + + p = q; + } +} + +void run_ecmult_pre_g(void) { + secp256k1_ge_storage gs; + secp256k1_gej gj; + secp256k1_ge g; + size_t i; + + /* Check that the pre_g and pre_g_128 tables are consistent. */ + test_pre_g_table(secp256k1_pre_g, ECMULT_TABLE_SIZE(WINDOW_G)); + test_pre_g_table(secp256k1_pre_g_128, ECMULT_TABLE_SIZE(WINDOW_G)); + + /* Check the first entry from the pre_g table. */ + secp256k1_ge_to_storage(&gs, &secp256k1_ge_const_g); + CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g[0], sizeof(gs)) == 0); + + /* Check the first entry from the pre_g_128 table. */ + secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g); + for (i = 0; i < 128; ++i) { + secp256k1_gej_double_var(&gj, &gj, NULL); + } + secp256k1_ge_set_gej(&g, &gj); + secp256k1_ge_to_storage(&gs, &g); + CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g_128[0], sizeof(gs)) == 0); +} + void run_ecmult_chain(void) { /* random starting point A (on the curve) */ secp256k1_gej a = SECP256K1_GEJ_CONST( @@ -3448,7 +3526,7 @@ void run_ecmult_chain(void) { x = a; for (i = 0; i < 200*count; i++) { /* in each iteration, compute X = xn*X + gn*G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x, &x, &xn, &gn); + secp256k1_ecmult(&x, &x, &xn, &gn); /* also compute ae and ge: the actual accumulated factors for A and G */ /* if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) */ secp256k1_scalar_mul(&ae, &ae, &xn); @@ -3474,7 +3552,7 @@ void run_ecmult_chain(void) { } } /* redo the computation, but directly with the resulting ae and ge coefficients: */ - secp256k1_ecmult(&ctx->ecmult_ctx, &x2, &a, &ae, &ge); + secp256k1_ecmult(&x2, &a, &ae, &ge); secp256k1_gej_neg(&x2, &x2); secp256k1_gej_add_var(&x2, &x2, &x, NULL); CHECK(secp256k1_gej_is_infinity(&x2)); @@ -3492,8 +3570,8 @@ void test_point_times_order(const secp256k1_gej *point) { size_t psize = 65; random_scalar_order_test(&x); secp256k1_scalar_negate(&nx, &x); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &x, &x); /* calc res1 = x * point + x * G; */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ + secp256k1_ecmult(&res1, point, &x, &x); /* calc res1 = x * point + x * G; */ + secp256k1_ecmult(&res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */ secp256k1_gej_add_var(&res1, &res1, &res2, NULL); CHECK(secp256k1_gej_is_infinity(&res1)); secp256k1_ge_set_gej(&res3, &res1); @@ -3503,13 +3581,13 @@ void test_point_times_order(const secp256k1_gej *point) { psize = 65; CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0); /* check zero/one edge cases */ - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &zero); + secp256k1_ecmult(&res1, point, &zero, &zero); secp256k1_ge_set_gej(&res3, &res1); CHECK(secp256k1_ge_is_infinity(&res3)); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &one, &zero); + secp256k1_ecmult(&res1, point, &one, &zero); secp256k1_ge_set_gej(&res3, &res1); ge_equals_gej(&res3, point); - secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &one); + secp256k1_ecmult(&res1, point, &zero, &one); secp256k1_ge_set_gej(&res3, &res1); ge_equals_ge(&res3, &secp256k1_ge_const_g); } @@ -3568,9 +3646,9 @@ void test_ecmult_target(const secp256k1_scalar* target, int mode) { secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &p2j, &n2); secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &ptj, target); } else if (mode == 1) { - secp256k1_ecmult(&ctx->ecmult_ctx, &p1j, &pj, &n1, &zero); - secp256k1_ecmult(&ctx->ecmult_ctx, &p2j, &pj, &n2, &zero); - secp256k1_ecmult(&ctx->ecmult_ctx, &ptj, &pj, target, &zero); + secp256k1_ecmult(&p1j, &pj, &n1, &zero); + secp256k1_ecmult(&p2j, &pj, &n2, &zero); + secp256k1_ecmult(&ptj, &pj, target, &zero); } else { secp256k1_ecmult_const(&p1j, &p, &n1, 256); secp256k1_ecmult_const(&p2j, &p, &n2, 256); @@ -3753,7 +3831,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_set_int(&szero, 0); /* No points to multiply */ - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, NULL, ecmult_multi_callback, &data, 0)); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, NULL, ecmult_multi_callback, &data, 0)); /* Check 1- and 2-point multiplies against ecmult */ for (ncount = 0; ncount < count; ncount++) { @@ -3768,32 +3846,32 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e pt[1] = secp256k1_ge_const_g; /* only G scalar */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &szero, &sc[0]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); + secp256k1_ecmult(&r2, &ptgj, &szero, &sc[0]); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); /* 1-point */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 1)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &szero); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 1)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); /* Try to multiply 1 point, but callback returns false */ - CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1)); + CHECK(!ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1)); /* 2-point */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 2)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 2)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); /* 2-point with G scalar */ - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1)); + secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); @@ -3810,7 +3888,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e random_scalar_order(&sc[i]); secp256k1_ge_set_infinity(&pt[i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } @@ -3820,7 +3898,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e pt[i] = ptg; secp256k1_scalar_set_int(&sc[i], 0); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } @@ -3833,7 +3911,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e pt[2 * i + 1] = ptg; } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); random_scalar_order(&sc[0]); @@ -3846,7 +3924,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j])); CHECK(secp256k1_gej_is_infinity(&r)); } @@ -3861,7 +3939,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_negate(&sc[i], &sc[i]); } - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 32)); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 32)); CHECK(secp256k1_gej_is_infinity(&r)); } @@ -3879,8 +3957,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL); } - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r, &sc[0], &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); + secp256k1_ecmult(&r2, &r, &sc[0], &szero); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); @@ -3902,8 +3980,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e } secp256k1_gej_set_ge(&p0j, &pt[0]); - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &p0j, &rs, &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); + secp256k1_ecmult(&r2, &p0j, &rs, &szero); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); secp256k1_gej_neg(&r2, &r2); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); @@ -3916,13 +3994,13 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e } secp256k1_scalar_clear(&sc[0]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20)); secp256k1_scalar_clear(&sc[1]); secp256k1_scalar_clear(&sc[2]); secp256k1_scalar_clear(&sc[3]); secp256k1_scalar_clear(&sc[4]); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 6)); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 5)); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 6)); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 5)); CHECK(secp256k1_gej_is_infinity(&r)); /* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */ @@ -3946,8 +4024,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_set_int(&t1, (t1i + 1) / 2); secp256k1_scalar_cond_negate(&t1, t1i & 1); - secp256k1_ecmult(&ctx->ecmult_ctx, &t0p, &ptgj, &t0, &szero); - secp256k1_ecmult(&ctx->ecmult_ctx, &t1p, &ptgj, &t1, &szero); + secp256k1_ecmult(&t0p, &ptgj, &t0, &szero); + secp256k1_ecmult(&t1p, &ptgj, &t1, &szero); for(s0i = 0; s0i < TOP; s0i++) { for(s1i = 0; s1i < TOP; s1i++) { @@ -3966,8 +4044,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e secp256k1_scalar_mul(&tmp2, &t1, &sc[1]); secp256k1_scalar_add(&tmp1, &tmp1, &tmp2); - secp256k1_ecmult(&ctx->ecmult_ctx, &expected, &ptgj, &tmp1, &szero); - CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &actual, &szero, ecmult_multi_callback, &data, 2)); + secp256k1_ecmult(&expected, &ptgj, &tmp1, &szero); + CHECK(ecmult_multi(&ctx->error_callback, scratch, &actual, &szero, ecmult_multi_callback, &data, 2)); secp256k1_gej_neg(&expected, &expected); secp256k1_gej_add_var(&actual, &actual, &expected, NULL); CHECK(secp256k1_gej_is_infinity(&actual)); @@ -3994,7 +4072,7 @@ void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) { /* Try to multiply 1 point, but scratch space is empty.*/ scratch_empty = secp256k1_scratch_create(&ctx->error_callback, 0); - CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1)); + CHECK(!ecmult_multi(&ctx->error_callback, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1)); secp256k1_scratch_destroy(&ctx->error_callback, scratch_empty); } @@ -4116,7 +4194,7 @@ void test_ecmult_multi_batching(void) { /* Get random scalars and group elements and compute result */ random_scalar_order(&scG); - secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r2, &szero, &scG); + secp256k1_ecmult(&r2, &r2, &szero, &scG); for(i = 0; i < n_points; i++) { secp256k1_ge ptg; secp256k1_gej ptgj; @@ -4124,7 +4202,7 @@ void test_ecmult_multi_batching(void) { secp256k1_gej_set_ge(&ptgj, &ptg); pt[i] = ptg; random_scalar_order(&sc[i]); - secp256k1_ecmult(&ctx->ecmult_ctx, &ptgj, &ptgj, &sc[i], NULL); + secp256k1_ecmult(&ptgj, &ptgj, &sc[i], NULL); secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL); } data.sc = sc; @@ -4134,7 +4212,7 @@ void test_ecmult_multi_batching(void) { /* Test with empty scratch space. It should compute the correct result using * ecmult_mult_simple algorithm which doesn't require a scratch space. */ scratch = secp256k1_scratch_create(&ctx->error_callback, 0); - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); secp256k1_scratch_destroy(&ctx->error_callback, scratch); @@ -4143,7 +4221,7 @@ void test_ecmult_multi_batching(void) { * ecmult_multi selects strauss which requires more memory. It should * therefore select the simple algorithm. */ scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT); - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); secp256k1_scratch_destroy(&ctx->error_callback, scratch); @@ -4157,7 +4235,7 @@ void test_ecmult_multi_batching(void) { size_t scratch_size = secp256k1_strauss_scratch_size(i); scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT); } - CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); + CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points)); secp256k1_gej_add_var(&r, &r, &r2, NULL); CHECK(secp256k1_gej_is_infinity(&r)); secp256k1_scratch_destroy(&ctx->error_callback, scratch); @@ -5276,10 +5354,10 @@ void test_ecdsa_sign_verify(void) { } else { random_sign(&sigr, &sigs, &key, &msg, NULL); } - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); secp256k1_scalar_set_int(&one, 1); secp256k1_scalar_add(&msg, &msg, &one); - CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg)); + CHECK(!secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg)); } void run_ecdsa_sign_verify(void) { @@ -5957,7 +6035,7 @@ void test_ecdsa_edge_cases(void) { secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sr); secp256k1_ge_set_gej(&key, &keyj); msg = ss; - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Verify signature with r of zero fails. */ @@ -5976,7 +6054,7 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&msg, 0); secp256k1_scalar_set_int(&sr, 0); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify( &sr, &ss, &key, &msg) == 0); } /* Verify signature with s of zero fails. */ @@ -5995,7 +6073,7 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&msg, 0); secp256k1_scalar_set_int(&sr, 1); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Verify signature with message 0 passes. */ @@ -6023,14 +6101,14 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_int(&sr, 2); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_set_int(&ss, 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0); } /* Verify signature with message 1 passes. */ @@ -6064,15 +6142,15 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_set_b32(&sr, csr, NULL); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1); secp256k1_scalar_set_int(&ss, 2); secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0); } /* Verify signature with message -1 passes. */ @@ -6098,12 +6176,12 @@ void test_ecdsa_edge_cases(void) { secp256k1_scalar_negate(&msg, &msg); secp256k1_scalar_set_b32(&sr, csr, NULL); CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); secp256k1_scalar_negate(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1); secp256k1_scalar_set_int(&ss, 3); secp256k1_scalar_inverse_var(&ss, &ss); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0); + CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0); } /* Signature where s would be zero. */ @@ -6349,10 +6427,10 @@ void test_ecdsa_openssl(void) { CHECK(ec_key != NULL); CHECK(ECDSA_sign(0, message, sizeof(message), signature, &sigsize, ec_key)); CHECK(secp256k1_ecdsa_sig_parse(&sigr, &sigs, signature, sigsize)); - CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg)); + CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &q, &msg)); secp256k1_scalar_set_int(&one, 1); secp256k1_scalar_add(&msg2, &msg, &one); - CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg2)); + CHECK(!secp256k1_ecdsa_sig_verify(&sigr, &sigs, &q, &msg2)); random_sign(&sigr, &sigs, &key, &msg, NULL); CHECK(secp256k1_ecdsa_sig_serialize(signature, &secp_sigsize, &sigr, &sigs)); @@ -6620,6 +6698,7 @@ int main(int argc, char **argv) { run_group_decompress(); /* ecmult tests */ + run_ecmult_pre_g(); run_wnaf(); run_point_times_order(); run_ecmult_near_split_bound(); diff --git a/src/tests_exhaustive.c b/src/tests_exhaustive.c index 5b9a303..4d96dd9 100644 --- a/src/tests_exhaustive.c +++ b/src/tests_exhaustive.c @@ -163,7 +163,7 @@ void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *gr } } -void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *group, const secp256k1_gej *groupj) { +void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_gej *groupj) { int i, j, r_log; uint64_t iter = 0; for (r_log = 1; r_log < EXHAUSTIVE_TEST_ORDER; r_log++) { @@ -175,7 +175,7 @@ void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *gr secp256k1_scalar_set_int(&na, i); secp256k1_scalar_set_int(&ng, j); - secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &groupj[r_log], &na, &ng); + secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng); ge_equals_gej(&group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER], &tmp); if (i > 0) { @@ -219,7 +219,7 @@ void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_ data.pt[0] = group[x]; data.pt[1] = group[y]; - secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2); + secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2); ge_equals_gej(&group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER], &tmp); } } @@ -430,7 +430,7 @@ int main(int argc, char** argv) { /* Run the tests */ test_exhaustive_endomorphism(group); test_exhaustive_addition(group, groupj); - test_exhaustive_ecmult(ctx, group, groupj); + test_exhaustive_ecmult(group, groupj); test_exhaustive_ecmult_multi(ctx, group); test_exhaustive_sign(ctx, group); test_exhaustive_verify(ctx, group);