/*********************************************************************** * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell * * Distributed under the MIT software license, see the accompanying * * file COPYING or https://www.opensource.org/licenses/mit-license.php.* ***********************************************************************/ #ifndef SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H #define SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H #include "ecmult_gen_compute_table.h" #include "group_impl.h" #include "field_impl.h" #include "ecmult_gen.h" #include "util.h" static void rustsecp256k1_v0_7_0_ecmult_gen_compute_table(rustsecp256k1_v0_7_0_ge_storage* table, const rustsecp256k1_v0_7_0_ge* gen, int bits) { int g = ECMULT_GEN_PREC_G(bits); int n = ECMULT_GEN_PREC_N(bits); rustsecp256k1_v0_7_0_ge* prec = checked_malloc(&default_error_callback, n * g * sizeof(*prec)); rustsecp256k1_v0_7_0_gej gj; rustsecp256k1_v0_7_0_gej nums_gej; int i, j; /* get the generator */ rustsecp256k1_v0_7_0_gej_set_ge(&gj, gen); /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */ { static const unsigned char nums_b32[33] = "The scalar for this x is unknown"; rustsecp256k1_v0_7_0_fe nums_x; rustsecp256k1_v0_7_0_ge nums_ge; int r; r = rustsecp256k1_v0_7_0_fe_set_b32(&nums_x, nums_b32); (void)r; VERIFY_CHECK(r); r = rustsecp256k1_v0_7_0_ge_set_xo_var(&nums_ge, &nums_x, 0); (void)r; VERIFY_CHECK(r); rustsecp256k1_v0_7_0_gej_set_ge(&nums_gej, &nums_ge); /* Add G to make the bits in x uniformly distributed. */ rustsecp256k1_v0_7_0_gej_add_ge_var(&nums_gej, &nums_gej, gen, NULL); } /* compute prec. */ { rustsecp256k1_v0_7_0_gej gbase; rustsecp256k1_v0_7_0_gej numsbase; rustsecp256k1_v0_7_0_gej* precj = checked_malloc(&default_error_callback, n * g * sizeof(*precj)); /* Jacobian versions of prec. */ gbase = gj; /* PREC_G^j * G */ numsbase = nums_gej; /* 2^j * nums. */ for (j = 0; j < n; j++) { /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */ precj[j*g] = numsbase; for (i = 1; i < g; i++) { rustsecp256k1_v0_7_0_gej_add_var(&precj[j*g + i], &precj[j*g + i - 1], &gbase, NULL); } /* Multiply gbase by PREC_G. */ for (i = 0; i < bits; i++) { rustsecp256k1_v0_7_0_gej_double_var(&gbase, &gbase, NULL); } /* Multiply numbase by 2. */ rustsecp256k1_v0_7_0_gej_double_var(&numsbase, &numsbase, NULL); if (j == n - 2) { /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */ rustsecp256k1_v0_7_0_gej_neg(&numsbase, &numsbase); rustsecp256k1_v0_7_0_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL); } } rustsecp256k1_v0_7_0_ge_set_all_gej_var(prec, precj, n * g); free(precj); } for (j = 0; j < n; j++) { for (i = 0; i < g; i++) { rustsecp256k1_v0_7_0_ge_to_storage(&table[j*g + i], &prec[j*g + i]); } } free(prec); } #endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H */