/*********************************************************************** * Copyright (c) 2017 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ #include #include "secp256k1.c" #include "../include/secp256k1.h" #include "util.h" #include "hash_impl.h" #include "field_impl.h" #include "group_impl.h" #include "scalar_impl.h" #include "ecmult_impl.h" #include "bench.h" #define POINTS 32768 void help(char **argv) { printf("Benchmark EC multiplication algorithms\n"); printf("\n"); printf("Usage: %s \n", argv[0]); printf("The output shows the number of multiplied and summed points right after the\n"); printf("function name. The letter 'g' indicates that one of the points is the generator.\n"); printf("The benchmarks are divided by the number of points.\n"); printf("\n"); printf("default (ecmult_multi): picks pippenger_wnaf or strauss_wnaf depending on the\n"); printf(" batch size\n"); printf("pippenger_wnaf: for all batch sizes\n"); printf("strauss_wnaf: for all batch sizes\n"); printf("simple: multiply and sum each point individually\n"); } typedef struct { /* Setup once in advance */ rustsecp256k1_v0_6_1_context* ctx; rustsecp256k1_v0_6_1_scratch_space* scratch; rustsecp256k1_v0_6_1_scalar* scalars; rustsecp256k1_v0_6_1_ge* pubkeys; rustsecp256k1_v0_6_1_gej* pubkeys_gej; rustsecp256k1_v0_6_1_scalar* seckeys; rustsecp256k1_v0_6_1_gej* expected_output; rustsecp256k1_v0_6_1_ecmult_multi_func ecmult_multi; /* Changes per benchmark */ size_t count; int includes_g; /* Changes per benchmark iteration, used to pick different scalars and pubkeys * in each run. */ size_t offset1; size_t offset2; /* Benchmark output. */ rustsecp256k1_v0_6_1_gej* output; } bench_data; /* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */ static void hash_into_offset(bench_data* data, size_t x) { data->offset1 = (x * 0x537b7f6f + 0x8f66a481) % POINTS; data->offset2 = (x * 0x7f6f537b + 0x6a1a8f49) % POINTS; } /* Check correctness of the benchmark by computing * sum(outputs) ?= (sum(scalars_gen) + sum(seckeys)*sum(scalars))*G */ static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset, size_t* scalar_offset, size_t* scalar_gen_offset, int iters) { int i; rustsecp256k1_v0_6_1_gej sum_output, tmp; rustsecp256k1_v0_6_1_scalar sum_scalars; rustsecp256k1_v0_6_1_gej_set_infinity(&sum_output); rustsecp256k1_v0_6_1_scalar_clear(&sum_scalars); for (i = 0; i < iters; ++i) { rustsecp256k1_v0_6_1_gej_add_var(&sum_output, &sum_output, &data->output[i], NULL); if (scalar_gen_offset != NULL) { rustsecp256k1_v0_6_1_scalar_add(&sum_scalars, &sum_scalars, &data->scalars[(*scalar_gen_offset+i) % POINTS]); } if (seckey_offset != NULL) { rustsecp256k1_v0_6_1_scalar s = data->seckeys[(*seckey_offset+i) % POINTS]; rustsecp256k1_v0_6_1_scalar_mul(&s, &s, &data->scalars[(*scalar_offset+i) % POINTS]); rustsecp256k1_v0_6_1_scalar_add(&sum_scalars, &sum_scalars, &s); } } rustsecp256k1_v0_6_1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &tmp, &sum_scalars); rustsecp256k1_v0_6_1_gej_neg(&tmp, &tmp); rustsecp256k1_v0_6_1_gej_add_var(&tmp, &tmp, &sum_output, NULL); CHECK(rustsecp256k1_v0_6_1_gej_is_infinity(&tmp)); } static void bench_ecmult_setup(void* arg) { bench_data* data = (bench_data*)arg; /* Re-randomize offset to ensure that we're using different scalars and * group elements in each run. */ hash_into_offset(data, data->offset1); } static void bench_ecmult_gen(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; for (i = 0; i < iters; ++i) { rustsecp256k1_v0_6_1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &data->output[i], &data->scalars[(data->offset1+i) % POINTS]); } } static void bench_ecmult_gen_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters); } static void bench_ecmult_const(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; for (i = 0; i < iters; ++i) { rustsecp256k1_v0_6_1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], 256); } } static void bench_ecmult_const_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); } static void bench_ecmult_1p(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; for (i = 0; i < iters; ++i) { rustsecp256k1_v0_6_1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL); } } static void bench_ecmult_1p_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters); } static void bench_ecmult_0p_g(void* arg, int iters) { bench_data* data = (bench_data*)arg; rustsecp256k1_v0_6_1_scalar zero; int i; rustsecp256k1_v0_6_1_scalar_set_int(&zero, 0); for (i = 0; i < iters; ++i) { rustsecp256k1_v0_6_1_ecmult(&data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]); } } static void bench_ecmult_0p_g_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters); } static void bench_ecmult_1p_g(void* arg, int iters) { bench_data* data = (bench_data*)arg; int i; for (i = 0; i < iters/2; ++i) { rustsecp256k1_v0_6_1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]); } } static void bench_ecmult_1p_g_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, &data->offset1, iters/2); } static void run_ecmult_bench(bench_data* data, int iters) { char str[32]; sprintf(str, "ecmult_gen"); run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters); sprintf(str, "ecmult_const"); run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters); /* ecmult with non generator point */ sprintf(str, "ecmult_1p"); run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters); /* ecmult with generator point */ sprintf(str, "ecmult_0p_g"); run_benchmark(str, bench_ecmult_0p_g, bench_ecmult_setup, bench_ecmult_0p_g_teardown, data, 10, iters); /* ecmult with generator and non-generator point. The reported time is per point. */ sprintf(str, "ecmult_1p_g"); run_benchmark(str, bench_ecmult_1p_g, bench_ecmult_setup, bench_ecmult_1p_g_teardown, data, 10, 2*iters); } static int bench_ecmult_multi_callback(rustsecp256k1_v0_6_1_scalar* sc, rustsecp256k1_v0_6_1_ge* ge, size_t idx, void* arg) { bench_data* data = (bench_data*)arg; if (data->includes_g) ++idx; if (idx == 0) { *sc = data->scalars[data->offset1]; *ge = rustsecp256k1_v0_6_1_ge_const_g; } else { *sc = data->scalars[(data->offset1 + idx) % POINTS]; *ge = data->pubkeys[(data->offset2 + idx - 1) % POINTS]; } return 1; } static void bench_ecmult_multi(void* arg, int iters) { bench_data* data = (bench_data*)arg; int includes_g = data->includes_g; int iter; int count = data->count; iters = iters / data->count; for (iter = 0; iter < iters; ++iter) { 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; } } static void bench_ecmult_multi_setup(void* arg) { bench_data* data = (bench_data*)arg; hash_into_offset(data, data->count); } static void bench_ecmult_multi_teardown(void* arg, int iters) { bench_data* data = (bench_data*)arg; int iter; iters = iters / data->count; /* Verify the results in teardown, to avoid doing comparisons while benchmarking. */ for (iter = 0; iter < iters; ++iter) { rustsecp256k1_v0_6_1_gej tmp; rustsecp256k1_v0_6_1_gej_add_var(&tmp, &data->output[iter], &data->expected_output[iter], NULL); CHECK(rustsecp256k1_v0_6_1_gej_is_infinity(&tmp)); } } static void generate_scalar(uint32_t num, rustsecp256k1_v0_6_1_scalar* scalar) { rustsecp256k1_v0_6_1_sha256 sha256; unsigned char c[10] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0}; unsigned char buf[32]; int overflow = 0; c[6] = num; c[7] = num >> 8; c[8] = num >> 16; c[9] = num >> 24; rustsecp256k1_v0_6_1_sha256_initialize(&sha256); rustsecp256k1_v0_6_1_sha256_write(&sha256, c, sizeof(c)); rustsecp256k1_v0_6_1_sha256_finalize(&sha256, buf); rustsecp256k1_v0_6_1_scalar_set_b32(scalar, buf, &overflow); CHECK(!overflow); } static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_g, int num_iters) { char str[32]; static const rustsecp256k1_v0_6_1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); size_t iters = 1 + num_iters / count; size_t iter; data->count = count; data->includes_g = includes_g; /* Compute (the negation of) the expected results directly. */ hash_into_offset(data, data->count); for (iter = 0; iter < iters; ++iter) { rustsecp256k1_v0_6_1_scalar tmp; rustsecp256k1_v0_6_1_scalar total = data->scalars[(data->offset1++) % POINTS]; size_t i = 0; for (i = 0; i + 1 < count; ++i) { rustsecp256k1_v0_6_1_scalar_mul(&tmp, &data->seckeys[(data->offset2++) % POINTS], &data->scalars[(data->offset1++) % POINTS]); rustsecp256k1_v0_6_1_scalar_add(&total, &total, &tmp); } rustsecp256k1_v0_6_1_scalar_negate(&total, &total); rustsecp256k1_v0_6_1_ecmult(&data->expected_output[iter], NULL, &zero, &total); } /* Run the benchmark. */ if (includes_g) { sprintf(str, "ecmult_multi_%ip_g", (int)count - 1); } else { sprintf(str, "ecmult_multi_%ip", (int)count); } run_benchmark(str, bench_ecmult_multi, bench_ecmult_multi_setup, bench_ecmult_multi_teardown, data, 10, count * iters); } int main(int argc, char **argv) { bench_data data; int i, p; size_t scratch_size; int iters = get_iters(10000); data.ecmult_multi = rustsecp256k1_v0_6_1_ecmult_multi_var; if (argc > 1) { if(have_flag(argc, argv, "-h") || have_flag(argc, argv, "--help") || have_flag(argc, argv, "help")) { help(argv); return 0; } else if(have_flag(argc, argv, "pippenger_wnaf")) { printf("Using pippenger_wnaf:\n"); data.ecmult_multi = rustsecp256k1_v0_6_1_ecmult_pippenger_batch_single; } else if(have_flag(argc, argv, "strauss_wnaf")) { printf("Using strauss_wnaf:\n"); data.ecmult_multi = rustsecp256k1_v0_6_1_ecmult_strauss_batch_single; } else if(have_flag(argc, argv, "simple")) { printf("Using simple algorithm:\n"); } else { fprintf(stderr, "%s: unrecognized argument '%s'.\n\n", argv[0], argv[1]); help(argv); return 1; } } data.ctx = rustsecp256k1_v0_6_1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY); scratch_size = rustsecp256k1_v0_6_1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16; if (!have_flag(argc, argv, "simple")) { data.scratch = rustsecp256k1_v0_6_1_scratch_space_create(data.ctx, scratch_size); } else { data.scratch = NULL; } /* Allocate stuff */ data.scalars = malloc(sizeof(rustsecp256k1_v0_6_1_scalar) * POINTS); data.seckeys = malloc(sizeof(rustsecp256k1_v0_6_1_scalar) * POINTS); data.pubkeys = malloc(sizeof(rustsecp256k1_v0_6_1_ge) * POINTS); data.pubkeys_gej = malloc(sizeof(rustsecp256k1_v0_6_1_gej) * POINTS); data.expected_output = malloc(sizeof(rustsecp256k1_v0_6_1_gej) * (iters + 1)); data.output = malloc(sizeof(rustsecp256k1_v0_6_1_gej) * (iters + 1)); /* Generate a set of scalars, and private/public keypairs. */ rustsecp256k1_v0_6_1_gej_set_ge(&data.pubkeys_gej[0], &rustsecp256k1_v0_6_1_ge_const_g); rustsecp256k1_v0_6_1_scalar_set_int(&data.seckeys[0], 1); for (i = 0; i < POINTS; ++i) { generate_scalar(i, &data.scalars[i]); if (i) { rustsecp256k1_v0_6_1_gej_double_var(&data.pubkeys_gej[i], &data.pubkeys_gej[i - 1], NULL); rustsecp256k1_v0_6_1_scalar_add(&data.seckeys[i], &data.seckeys[i - 1], &data.seckeys[i - 1]); } } rustsecp256k1_v0_6_1_ge_set_all_gej_var(data.pubkeys, data.pubkeys_gej, POINTS); print_output_table_header_row(); /* Initialize offset1 and offset2 */ hash_into_offset(&data, 0); run_ecmult_bench(&data, iters); for (i = 1; i <= 8; ++i) { run_ecmult_multi_bench(&data, i, 1, iters); } /* This is disabled with low count of iterations because the loop runs 77 times even with iters=1 * and the higher it goes the longer the computation takes(more points) * So we don't run this benchmark with low iterations to prevent slow down */ if (iters > 2) { for (p = 0; p <= 11; ++p) { for (i = 9; i <= 16; ++i) { run_ecmult_multi_bench(&data, i << p, 1, iters); } } } if (data.scratch != NULL) { rustsecp256k1_v0_6_1_scratch_space_destroy(data.ctx, data.scratch); } rustsecp256k1_v0_6_1_context_destroy(data.ctx); free(data.scalars); free(data.pubkeys); free(data.pubkeys_gej); free(data.seckeys); free(data.output); free(data.expected_output); return(0); }