code
stringlengths
31
2.05k
label_name
stringclasses
5 values
label
int64
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4
void ed_mul_sim_lot(ed_t r, const ed_t p[], const bn_t k[], int n) { int i, j, l, *_l = RLC_ALLOCA(int, n); ed_t *_p = RLC_ALLOCA(ed_t, n); int8_t *naf = NULL; RLC_TRY { l = 0; for (i = 0; i < n; i++) { l = RLC_MAX(l, bn_bits(k[i]) + 1); } naf = RLC_ALLOCA(int8_t, n * l); if (naf == NULL || _p == NULL || _l == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < n; i++) { ed_null(_p[i]); ed_new(_p[i]); } for (i = 0; i < n; i++) { _l[i] = l; ed_norm(_p[i], p[i]); bn_rec_naf(&naf[i*l], &_l[i], k[i], 2); if (bn_sign(k[i]) == RLC_NEG) { ed_neg(_p[i], _p[i]); } } ed_set_infty(r); for (i = l - 1; i >= 0; i--) { ed_dbl(r, r); for (j = 0; j < n; j++) { if (naf[j*l + i] > 0) { ed_add(r, r, _p[j]); } if (naf[j*l + i] < 0) { ed_sub(r, r, _p[j]); } } } /* Convert r to affine coordinates. */ ed_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < n; i++) { ed_free(_p[i]); } RLC_FREE(_l); RLC_FREE(_p); RLC_FREE(naf); } }
Base
1
void ed_mul_sim_joint(ed_t r, const ed_t p, const bn_t k, const ed_t q, const bn_t m) { ed_t t[5]; int i, l, u_i, offset; int8_t jsf[2 * (RLC_FP_BITS + 1)]; if (bn_is_zero(k) || ed_is_infty(p)) { ed_mul(r, q, m); return; } if (bn_is_zero(m) || ed_is_infty(q)) { ed_mul(r, p, k); return; } RLC_TRY { for (i = 0; i < 5; i++) { ed_null(t[i]); ed_new(t[i]); } ed_set_infty(t[0]); ed_copy(t[1], q); if (bn_sign(m) == RLC_NEG) { ed_neg(t[1], t[1]); } ed_copy(t[2], p); if (bn_sign(k) == RLC_NEG) { ed_neg(t[2], t[2]); } ed_add(t[3], t[2], t[1]); ed_sub(t[4], t[2], t[1]); #if defined(ED_MIXED) ed_norm_sim(t + 3, (const ed_t *)t + 3, 2); #endif l = 2 * (RLC_FP_BITS + 1); bn_rec_jsf(jsf, &l, k, m); ed_set_infty(r); offset = RLC_MAX(bn_bits(k), bn_bits(m)) + 1; for (i = l - 1; i >= 0; i--) { ed_dbl(r, r); if (jsf[i] != 0 && jsf[i] == -jsf[i + offset]) { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ed_sub(r, r, t[4]); } else { ed_add(r, r, t[4]); } } else { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ed_sub(r, r, t[-u_i]); } else { ed_add(r, r, t[u_i]); } } } ed_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < 5; i++) { ed_free(t[i]); } } }
Base
1
static void ed_mul_sim_plain(ed_t r, const ed_t p, const bn_t k, const ed_t q, const bn_t m, const ed_t *t) { int i, l, l0, l1, n0, n1, w, gen; int8_t naf0[RLC_FP_BITS + 1], naf1[RLC_FP_BITS + 1], *_k, *_m; ed_t t0[1 << (ED_WIDTH - 2)]; ed_t t1[1 << (ED_WIDTH - 2)]; RLC_TRY { gen = (t == NULL ? 0 : 1); if (!gen) { for (i = 0; i < (1 << (ED_WIDTH - 2)); i++) { ed_null(t0[i]); ed_new(t0[i]); } ed_tab(t0, p, ED_WIDTH); t = (const ed_t *)t0; } /* Prepare the precomputation table. */ for (i = 0; i < (1 << (ED_WIDTH - 2)); i++) { ed_null(t1[i]); ed_new(t1[i]); } /* Compute the precomputation table. */ ed_tab(t1, q, ED_WIDTH); /* Compute the w-TNAF representation of k. */ if (gen) { w = ED_DEPTH; } else { w = ED_WIDTH; } l0 = l1 = RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, k, w); bn_rec_naf(naf1, &l1, m, ED_WIDTH); l = RLC_MAX(l0, l1); if (bn_sign(k) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(m) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } _k = naf0 + l - 1; _m = naf1 + l - 1; ed_set_infty(r); for (i = l - 1; i >= 0; i--, _k--, _m--) { ed_dbl(r, r); n0 = *_k; n1 = *_m; if (n0 > 0) { ed_add(r, r, t[n0 / 2]); } if (n0 < 0) { ed_sub(r, r, t[-n0 / 2]); } if (n1 > 0) { ed_add(r, r, t1[n1 / 2]); } if (n1 < 0) { ed_sub(r, r, t1[-n1 / 2]); } } /* Convert r to affine coordinates. */ ed_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation tables. */ if (!gen) { for (i = 0; i < 1 << (ED_WIDTH - 2); i++) { ed_free(t0[i]); } } for (i = 0; i < 1 << (ED_WIDTH - 2); i++) { ed_free(t1[i]); } } }
Base
1
void ed_mul_sim_trick(ed_t r, const ed_t p, const bn_t k, const ed_t q, const bn_t m) { ed_t t0[1 << (ED_WIDTH / 2)], t1[1 << (ED_WIDTH / 2)], t[1 << ED_WIDTH]; bn_t n; int l0, l1, w = ED_WIDTH / 2; uint8_t w0[RLC_FP_BITS + 1], w1[RLC_FP_BITS + 1]; bn_null(n); if (bn_is_zero(k) || ed_is_infty(p)) { ed_mul(r, q, m); return; } if (bn_is_zero(m) || ed_is_infty(q)) { ed_mul(r, p, k); return; } RLC_TRY { bn_new(n); ed_curve_get_ord(n); for (int i = 0; i < (1 << w); i++) { ed_null(t0[i]); ed_null(t1[i]); ed_new(t0[i]); ed_new(t1[i]); } for (int i = 0; i < (1 << ED_WIDTH); i++) { ed_null(t[i]); ed_new(t[i]); } ed_set_infty(t0[0]); ed_copy(t0[1], p); if (bn_sign(k) == RLC_NEG) { ed_neg(t0[1], t0[1]); } for (int i = 2; i < (1 << w); i++) { ed_add(t0[i], t0[i - 1], t0[1]); } ed_set_infty(t1[0]); ed_copy(t1[1], q); if (bn_sign(m) == RLC_NEG) { ed_neg(t1[1], t1[1]); } for (int i = 1; i < (1 << w); i++) { ed_add(t1[i], t1[i - 1], t1[1]); } for (int i = 0; i < (1 << w); i++) { for (int j = 0; j < (1 << w); j++) { ed_add(t[(i << w) + j], t0[i], t1[j]); } } #if defined(ED_MIXED) ed_norm_sim(t + 1, (const ed_t *)t + 1, (1 << (ED_WIDTH)) - 1); #endif l0 = l1 = RLC_CEIL(RLC_FP_BITS, w); bn_rec_win(w0, &l0, k, w); bn_rec_win(w1, &l1, m, w); for (int i = l0; i < l1; i++) { w0[i] = 0; } for (int i = l1; i < l0; i++) { w1[i] = 0; } ed_set_infty(r); for (int i = RLC_MAX(l0, l1) - 1; i >= 0; i--) { for (int j = 0; j < w; j++) { ed_dbl(r, r); } ed_add(r, r, t[(w0[i] << w) + w1[i]]); } ed_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); for (int i = 0; i < (1 << w); i++) { ed_free(t0[i]); ed_free(t1[i]); } for (int i = 0; i < (1 << ED_WIDTH); i++) { ed_free(t[i]); } } }
Base
1
void ed_read_bin(ed_t a, const uint8_t *bin, int len) { if (len == 1) { if (bin[0] == 0) { ed_set_infty(a); return; } else { RLC_THROW(ERR_NO_BUFFER); return; } } if (len != (RLC_FP_BYTES + 1) && len != (2 * RLC_FP_BYTES + 1)) { RLC_THROW(ERR_NO_BUFFER); return; } a->coord = BASIC; fp_set_dig(a->z, 1); fp_read_bin(a->y, bin + 1, RLC_FP_BYTES); if (len == RLC_FP_BYTES + 1) { switch (bin[0]) { case 2: fp_zero(a->x); break; case 3: fp_zero(a->x); fp_set_bit(a->x, 0, 1); break; default: RLC_THROW(ERR_NO_VALID); break; } ed_upk(a, a); } if (len == 2 * RLC_FP_BYTES + 1) { if (bin[0] == 4) { fp_read_bin(a->x, bin + RLC_FP_BYTES + 1, RLC_FP_BYTES); } else { RLC_THROW(ERR_NO_VALID); return; } } #if ED_ADD == EXTND fp_mul(a->t, a->x, a->y); fp_mul(a->x, a->x, a->z); fp_mul(a->y, a->y, a->z); fp_sqr(a->z, a->z); #endif if (!ed_on_curve(a)) { RLC_THROW(ERR_NO_VALID); } }
Base
1
void ed_write_bin(uint8_t *bin, int len, const ed_t a, int pack) { ed_t t; ed_null(t); memset(bin, 0, len); if (ed_is_infty(a)) { if (len < 1) { RLC_THROW(ERR_NO_BUFFER); return; } else { return; } } RLC_TRY { ed_new(t); ed_norm(t, a); if (pack) { if (len < RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { ed_pck(t, t); bin[0] = 2 | fp_get_bit(t->x, 0); fp_write_bin(bin + 1, RLC_FP_BYTES, t->y); } } else { if (len < 2 * RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { bin[0] = 4; fp_write_bin(bin + 1, RLC_FP_BYTES, t->y); fp_write_bin(bin + RLC_FP_BYTES + 1, RLC_FP_BYTES, t->x); } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ed_free(t); } }
Base
1
void ep_map_dst(ep_t p, const uint8_t *msg, int len, const uint8_t *dst, int dst_len) { /* enough space for two field elements plus extra bytes for uniformity */ const int len_per_elm = (FP_PRIME + ep_param_level() + 7) / 8; uint8_t *pseudo_random_bytes = RLC_ALLOCA(uint8_t, 2 * len_per_elm); RLC_TRY { /* for hash_to_field, need to hash to a pseudorandom string */ /* XXX(rsw) the below assumes that we want to use MD_MAP for hashing. * Consider making the hash function a per-curve option! */ md_xmd(pseudo_random_bytes, 2 * len_per_elm, msg, len, dst, dst_len); ep_map_from_field(p, pseudo_random_bytes, 2 * len_per_elm); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { RLC_FREE(pseudo_random_bytes); } }
Base
1
void ep_map(ep_t p, const uint8_t *msg, int len) { ep_map_dst(p, msg, len, (const uint8_t *)"RELIC", 5); }
Base
1
static void ep_mul_naf_imp(ep_t r, const ep_t p, const bn_t k) { int i, l; /* Some of the supported prime curves have order > field. */ int8_t u, naf[RLC_FP_BITS + 2]; ep_t t[1 << (EP_WIDTH - 2)]; bn_t _k, n; bn_null(n); bn_null(_k); RLC_TRY { bn_new(n); bn_new(_k); /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_null(t[i]); ep_new(t[i]); } ep_curve_get_ord(n); bn_mod(_k, k, n); /* Compute the precomputation table. */ ep_tab(t, p, EP_WIDTH); /* Compute the w-NAF representation of k. */ l = RLC_FP_BITS + 2; bn_rec_naf(naf, &l, _k, EP_WIDTH); ep_set_infty(r); for (i = l - 1; i >= 0; i--) { ep_dbl(r, r); u = naf[i]; if (u > 0) { ep_add(r, r, t[u / 2]); } else if (u < 0) { ep_sub(r, r, t[-u / 2]); } } /* Convert r to affine coordinates. */ ep_norm(r, r); if (bn_sign(_k) == RLC_NEG) { ep_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); /* Free the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_free(t[i]); } } }
Base
1
void ep_mul_slide(ep_t r, const ep_t p, const bn_t k) { bn_t _k, n; ep_t t[1 << (EP_WIDTH - 1)], q; int i, j, l; uint8_t win[RLC_FP_BITS + 1]; if (bn_is_zero(k) || ep_is_infty(p)) { ep_set_infty(r); return; } ep_null(q); bn_null(n); bn_null(_k); RLC_TRY { bn_new(n); bn_new(_k); for (i = 0; i < (1 << (EP_WIDTH - 1)); i ++) { ep_null(t[i]); ep_new(t[i]); } ep_new(q); ep_copy(t[0], p); ep_dbl(q, p); #if defined(EP_MIXED) ep_norm(q, q); #endif ep_curve_get_ord(n); bn_mod(_k, k, n); /* Create table. */ for (i = 1; i < (1 << (EP_WIDTH - 1)); i++) { ep_add(t[i], t[i - 1], q); } #if defined(EP_MIXED) ep_norm_sim(t + 1, (const ep_t *)t + 1, (1 << (EP_WIDTH - 1)) - 1); #endif ep_set_infty(q); l = RLC_FP_BITS + 1; bn_rec_slw(win, &l, _k, EP_WIDTH); for (i = 0; i < l; i++) { if (win[i] == 0) { ep_dbl(q, q); } else { for (j = 0; j < util_bits_dig(win[i]); j++) { ep_dbl(q, q); } ep_add(q, q, t[win[i] >> 1]); } } ep_norm(r, q); if (bn_sign(_k) == RLC_NEG) { ep_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); for (i = 0; i < (1 << (EP_WIDTH - 1)); i++) { ep_free(t[i]); } ep_free(q); } }
Base
1
void ep_mul_monty(ep_t r, const ep_t p, const bn_t k) { int i, j, bits; ep_t t[2]; bn_t n, l, _k; bn_null(n); bn_null(l); bn_null(_k); ep_null(t[0]); ep_null(t[1]); if (bn_is_zero(k) || ep_is_infty(p)) { ep_set_infty(r); return; } RLC_TRY { bn_new(n); bn_new(l); bn_new(_k); ep_new(t[0]); ep_new(t[1]); ep_curve_get_ord(n); bits = bn_bits(n); bn_mod(_k, k, n); bn_abs(l, _k); bn_add(l, l, n); bn_add(n, l, n); dv_swap_cond(l->dp, n->dp, RLC_MAX(l->used, n->used), bn_get_bit(l, bits) == 0); l->used = RLC_SEL(l->used, n->used, bn_get_bit(l, bits) == 0); ep_norm(t[0], p); ep_dbl(t[1], t[0]); /* Blind both points independently. */ ep_blind(t[0], t[0]); ep_blind(t[1], t[1]); for (i = bits - 1; i >= 0; i--) { j = bn_get_bit(l, i); dv_swap_cond(t[0]->x, t[1]->x, RLC_FP_DIGS, j ^ 1); dv_swap_cond(t[0]->y, t[1]->y, RLC_FP_DIGS, j ^ 1); dv_swap_cond(t[0]->z, t[1]->z, RLC_FP_DIGS, j ^ 1); ep_add(t[0], t[0], t[1]); ep_dbl(t[1], t[1]); dv_swap_cond(t[0]->x, t[1]->x, RLC_FP_DIGS, j ^ 1); dv_swap_cond(t[0]->y, t[1]->y, RLC_FP_DIGS, j ^ 1); dv_swap_cond(t[0]->z, t[1]->z, RLC_FP_DIGS, j ^ 1); } ep_norm(r, t[0]); ep_neg(t[0], r); dv_copy_cond(r->y, t[0]->y, RLC_FP_DIGS, bn_sign(_k) == RLC_NEG); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(l); bn_free(_k); ep_free(t[1]); ep_free(t[0]); } }
Base
1
void ep_mul_dig(ep_t r, const ep_t p, dig_t k) { ep_t t; bn_t _k; int8_t u, naf[RLC_DIG + 1]; int l; ep_null(t); bn_null(_k); if (k == 0 || ep_is_infty(p)) { ep_set_infty(r); return; } RLC_TRY { ep_new(t); bn_new(_k); bn_set_dig(_k, k); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _k, 2); ep_set_infty(t); for (int i = l - 1; i >= 0; i--) { ep_dbl(t, t); u = naf[i]; if (u > 0) { ep_add(t, t, p); } else if (u < 0) { ep_sub(t, t, p); } } ep_norm(r, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep_free(t); bn_free(_k); } }
Base
1
static void ep_mul_glv_imp(ep_t r, const ep_t p, const bn_t k) { int l, l0, l1, i, n0, n1, s0, s1; int8_t naf0[RLC_FP_BITS + 1], naf1[RLC_FP_BITS + 1], *t0, *t1; bn_t n, _k, k0, k1, v1[3], v2[3]; ep_t q, t[1 << (EP_WIDTH - 2)]; bn_null(n); bn_null(_k); bn_null(k0); bn_null(k1); ep_null(q); RLC_TRY { bn_new(n); bn_new(_k); bn_new(k0); bn_new(k1); ep_new(q); for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_null(t[i]); ep_new(t[i]); } for (i = 0; i < 3; i++) { bn_null(v1[i]); bn_null(v2[i]); bn_new(v1[i]); bn_new(v2[i]); } ep_curve_get_ord(n); ep_curve_get_v1(v1); ep_curve_get_v2(v2); bn_mod(_k, k, n); bn_rec_glv(k0, k1, _k, n, (const bn_t *)v1, (const bn_t *)v2); s0 = bn_sign(k0); s1 = bn_sign(k1); bn_abs(k0, k0); bn_abs(k1, k1); if (s0 == RLC_POS) { ep_tab(t, p, EP_WIDTH); } else { ep_neg(q, p); ep_tab(t, q, EP_WIDTH); } l0 = l1 = RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, k0, EP_WIDTH); bn_rec_naf(naf1, &l1, k1, EP_WIDTH); l = RLC_MAX(l0, l1); t0 = naf0 + l - 1; t1 = naf1 + l - 1; ep_set_infty(r); for (i = l - 1; i >= 0; i--, t0--, t1--) { ep_dbl(r, r); n0 = *t0; n1 = *t1; if (n0 > 0) { ep_add(r, r, t[n0 / 2]); } if (n0 < 0) { ep_sub(r, r, t[-n0 / 2]); } if (n1 > 0) { ep_psi(q, t[n1 / 2]); if (s0 != s1) { ep_neg(q, q); } ep_add(r, r, q); } if (n1 < 0) { ep_psi(q, t[-n1 / 2]); if (s0 != s1) { ep_neg(q, q); } ep_sub(r, r, q); } } /* Convert r to affine coordinates. */ ep_norm(r, r); if (bn_sign(_k) == RLC_NEG) { ep_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); bn_free(k0); bn_free(k1); bn_free(n) ep_free(q); for (i = 0; i < 1 << (EP_WIDTH - 2); i++) { ep_free(t[i]); } for (i = 0; i < 3; i++) { bn_free(v1[i]); bn_free(v2[i]); } } }
Base
1
static void ep_mul_reg_imp(ep_t r, const ep_t p, const bn_t k) { bn_t _k; int i, j, l, n; int8_t s, reg[1 + RLC_CEIL(RLC_FP_BITS + 1, EP_WIDTH - 1)]; ep_t t[1 << (EP_WIDTH - 2)], u, v; if (bn_is_zero(k)) { ep_set_infty(r); return; } bn_null(_k); RLC_TRY { bn_new(_k); ep_new(u); ep_new(v); /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_null(t[i]); ep_new(t[i]); } /* Compute the precomputation table. */ ep_tab(t, p, EP_WIDTH); ep_curve_get_ord(_k); n = bn_bits(_k); /* Make a copy of the scalar for processing. */ bn_abs(_k, k); _k->dp[0] |= 1; /* Compute the regular w-NAF representation of k. */ l = RLC_CEIL(n, EP_WIDTH - 1) + 1; bn_rec_reg(reg, &l, _k, n, EP_WIDTH); #if defined(EP_MIXED) fp_set_dig(u->z, 1); u->coord = BASIC; #else u->coord = EP_ADD; #endif ep_set_infty(r); for (i = l - 1; i >= 0; i--) { for (j = 0; j < EP_WIDTH - 1; j++) { ep_dbl(r, r); } n = reg[i]; s = (n >> 7); n = ((n ^ s) - s) >> 1; for (j = 0; j < (1 << (EP_WIDTH - 2)); j++) { dv_copy_cond(u->x, t[j]->x, RLC_FP_DIGS, j == n); dv_copy_cond(u->y, t[j]->y, RLC_FP_DIGS, j == n); #if !defined(EP_MIXED) dv_copy_cond(u->z, t[j]->z, RLC_FP_DIGS, j == n); #endif } ep_neg(v, u); dv_copy_cond(u->y, v->y, RLC_FP_DIGS, s != 0); ep_add(r, r, u); } /* t[0] has an unmodified copy of p. */ ep_sub(u, r, t[0]); dv_copy_cond(r->x, u->x, RLC_FP_DIGS, bn_is_even(k)); dv_copy_cond(r->y, u->y, RLC_FP_DIGS, bn_is_even(k)); dv_copy_cond(r->z, u->z, RLC_FP_DIGS, bn_is_even(k)); /* Convert r to affine coordinates. */ ep_norm(r, r); ep_neg(u, r); dv_copy_cond(r->y, u->y, RLC_FP_DIGS, bn_sign(k) == RLC_NEG); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_free(t[i]); } bn_free(_k); ep_free(u); ep_free(v); } }
Base
1
static void ep_mul_fix_plain(ep_t r, const ep_t *t, const bn_t k) { int l, i, n; int8_t naf[RLC_FP_BITS + 1]; /* Compute the w-TNAF representation of k. */ l = RLC_FP_BITS + 1; bn_rec_naf(naf, &l, k, EP_DEPTH); n = naf[l - 1]; if (n > 0) { ep_copy(r, t[n / 2]); } else { ep_neg(r, t[-n / 2]); } for (i = l - 2; i >= 0; i--) { ep_dbl(r, r); n = naf[i]; if (n > 0) { ep_add(r, r, t[n / 2]); } if (n < 0) { ep_sub(r, r, t[-n / 2]); } } /* Convert r to affine coordinates. */ ep_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep_neg(r, r); } }
Base
1
static void ep_mul_sim_plain(ep_t r, const ep_t p, const bn_t k, const ep_t q, const bn_t m, const ep_t *t) { int i, l, l0, l1, w, gen; int8_t naf0[RLC_FP_BITS + 1], naf1[RLC_FP_BITS + 1], n0, n1, *u, *v; ep_t t0[1 << (EP_WIDTH - 2)]; ep_t t1[1 << (EP_WIDTH - 2)]; RLC_TRY { gen = (t == NULL ? 0 : 1); if (!gen) { for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_null(t0[i]); ep_new(t0[i]); } ep_tab(t0, p, EP_WIDTH); t = (const ep_t *)t0; } /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep_null(t1[i]); ep_new(t1[i]); } /* Compute the precomputation table. */ ep_tab(t1, q, EP_WIDTH); /* Compute the w-TNAF representation of k. */ if (gen) { w = EP_DEPTH; } else { w = EP_WIDTH; } l0 = l1 = RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, k, w); bn_rec_naf(naf1, &l1, m, EP_WIDTH); l = RLC_MAX(l0, l1); if (bn_sign(k) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(m) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } u = naf0 + l - 1; v = naf1 + l - 1; ep_set_infty(r); for (i = l - 1; i >= 0; i--, u--, v--) { ep_dbl(r, r); n0 = *u; n1 = *v; if (n0 > 0) { ep_add(r, r, t[n0 / 2]); } if (n0 < 0) { ep_sub(r, r, t[-n0 / 2]); } if (n1 > 0) { ep_add(r, r, t1[n1 / 2]); } if (n1 < 0) { ep_sub(r, r, t1[-n1 / 2]); } } /* Convert r to affine coordinates. */ ep_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation tables. */ if (!gen) { for (i = 0; i < 1 << (EP_WIDTH - 2); i++) { ep_free(t0[i]); } } for (i = 0; i < 1 << (EP_WIDTH - 2); i++) { ep_free(t1[i]); } } }
Base
1
void ep_mul_sim_joint(ep_t r, const ep_t p, const bn_t k, const ep_t q, const bn_t m) { bn_t n, _k, _m; ep_t t[5]; int i, l, u_i, offset; int8_t jsf[2 * (RLC_FP_BITS + 1)]; if (bn_is_zero(k) || ep_is_infty(p)) { ep_mul(r, q, m); return; } if (bn_is_zero(m) || ep_is_infty(q)) { ep_mul(r, p, k); return; } bn_null(n); bn_null(_k); bn_null(_m); RLC_TRY { bn_new(n); bn_new(_k); bn_new(_m); for (i = 0; i < 5; i++) { ep_null(t[i]); ep_new(t[i]); } ep_curve_get_ord(n); bn_mod(_k, k, n); bn_mod(_m, m, n); ep_set_infty(t[0]); ep_copy(t[1], q); if (bn_sign(_m) == RLC_NEG) { ep_neg(t[1], t[1]); } ep_copy(t[2], p); if (bn_sign(_k) == RLC_NEG) { ep_neg(t[2], t[2]); } ep_add(t[3], t[2], t[1]); ep_sub(t[4], t[2], t[1]); #if defined(EP_MIXED) ep_norm_sim(t + 3, (const ep_t *)t + 3, 2); #endif l = 2 * (RLC_FP_BITS + 1); bn_rec_jsf(jsf, &l, _k, _m); ep_set_infty(r); offset = RLC_MAX(bn_bits(_k), bn_bits(_m)) + 1; for (i = l - 1; i >= 0; i--) { ep_dbl(r, r); if (jsf[i] != 0 && jsf[i] == -jsf[i + offset]) { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep_sub(r, r, t[4]); } else { ep_add(r, r, t[4]); } } else { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep_sub(r, r, t[-u_i]); } else { ep_add(r, r, t[u_i]); } } } ep_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); bn_free(_m); for (i = 0; i < 5; i++) { ep_free(t[i]); } } }
Base
1
void ep_mul_sim_trick(ep_t r, const ep_t p, const bn_t k, const ep_t q, const bn_t m) { ep_t t0[1 << (EP_WIDTH / 2)], t1[1 << (EP_WIDTH / 2)], t[1 << EP_WIDTH]; bn_t n, _k, _m; int l0, l1, w = EP_WIDTH / 2; uint8_t w0[RLC_FP_BITS + 1], w1[RLC_FP_BITS + 1]; if (bn_is_zero(k) || ep_is_infty(p)) { ep_mul(r, q, m); return; } if (bn_is_zero(m) || ep_is_infty(q)) { ep_mul(r, p, k); return; } bn_null(n); bn_null(_k); bn_null(_m); RLC_TRY { bn_new(n); bn_new(_k); bn_new(_m); for (int i = 0; i < (1 << w); i++) { ep_null(t0[i]); ep_null(t1[i]); ep_new(t0[i]); ep_new(t1[i]); } for (int i = 0; i < (1 << EP_WIDTH); i++) { ep_null(t[i]); ep_new(t[i]); } ep_curve_get_ord(n); bn_mod(_k, k, n); bn_mod(_m, m, n); ep_set_infty(t0[0]); ep_copy(t0[1], p); if (bn_sign(_k) == RLC_NEG) { ep_neg(t0[1], t0[1]); } for (int i = 2; i < (1 << w); i++) { ep_add(t0[i], t0[i - 1], t0[1]); } ep_set_infty(t1[0]); ep_copy(t1[1], q); if (bn_sign(_m) == RLC_NEG) { ep_neg(t1[1], t1[1]); } for (int i = 2; i < (1 << w); i++) { ep_add(t1[i], t1[i - 1], t1[1]); } for (int i = 0; i < (1 << w); i++) { for (int j = 0; j < (1 << w); j++) { ep_add(t[(i << w) + j], t0[i], t1[j]); } } #if EP_WIDTH > 2 && defined(EP_MIXED) ep_norm_sim(t + 1, (const ep_t *)(t + 1), (1 << EP_WIDTH) - 1); #endif l0 = l1 = RLC_CEIL(RLC_FP_BITS + 1, w); bn_rec_win(w0, &l0, _k, w); bn_rec_win(w1, &l1, _m, w); for (int i = l0; i < l1; i++) { w0[i] = 0; } for (int i = l1; i < l0; i++) { w1[i] = 0; } ep_set_infty(r); for (int i = RLC_MAX(l0, l1) - 1; i >= 0; i--) { for (int j = 0; j < w; j++) { ep_dbl(r, r); } ep_add(r, r, t[(w0[i] << w) + w1[i]]); } ep_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); bn_free(_m); for (int i = 0; i < (1 << w); i++) { ep_free(t0[i]); ep_free(t1[i]); } for (int i = 0; i < (1 << EP_WIDTH); i++) { ep_free(t[i]); } } }
Base
1
void ep_mul_sim_lot_plain(ep_t r, const ep_t p[], const bn_t k[], int n) { int i, j, l, *_l = RLC_ALLOCA(int, n); ep_t *_p = RLC_ALLOCA(ep_t, n); int8_t *naf = NULL; RLC_TRY { l = 0; for (i = 0; i < n; i++) { l = RLC_MAX(l, bn_bits(k[i]) + 1); } naf = RLC_ALLOCA(int8_t, n * l); if (naf == NULL || _p == NULL || _l == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < n; i++) { ep_null(_p[i]); ep_new(_p[i]); } for (i = 0; i < n; i++) { _l[i] = l; ep_norm(_p[i], p[i]); bn_rec_naf(&naf[i*l], &_l[i], k[i], 2); if (bn_sign(k[i]) == RLC_NEG) { ep_neg(_p[i], _p[i]); } } ep_set_infty(r); for (i = l - 1; i >= 0; i--) { ep_dbl(r, r); for (j = 0; j < n; j++) { if (naf[j*l + i] > 0) { ep_add(r, r, _p[j]); } if (naf[j*l + i] < 0) { ep_sub(r, r, _p[j]); } } } /* Convert r to affine coordinates. */ ep_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < n; i++) { ep_free(_p[i]); } RLC_FREE(_l); RLC_FREE(_p); RLC_FREE(naf); } }
Base
1
void ep_write_bin(uint8_t *bin, int len, const ep_t a, int pack) { ep_t t; ep_null(t); memset(bin, 0, len); if (ep_is_infty(a)) { if (len < 1) { RLC_THROW(ERR_NO_BUFFER); return; } else { return; } } RLC_TRY { ep_new(t); ep_norm(t, a); if (pack) { if (len < RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { ep_pck(t, t); bin[0] = 2 | fp_get_bit(t->y, 0); fp_write_bin(bin + 1, RLC_FP_BYTES, t->x); } } else { if (len < 2 * RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { bin[0] = 4; fp_write_bin(bin + 1, RLC_FP_BYTES, t->x); fp_write_bin(bin + RLC_FP_BYTES + 1, RLC_FP_BYTES, t->y); } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep_free(t); } }
Base
1
void ep_read_bin(ep_t a, const uint8_t *bin, int len) { if (len == 1) { if (bin[0] == 0) { ep_set_infty(a); return; } else { RLC_THROW(ERR_NO_BUFFER); return; } } if (len != (RLC_FP_BYTES + 1) && len != (2 * RLC_FP_BYTES + 1)) { RLC_THROW(ERR_NO_BUFFER); return; } a->coord = BASIC; fp_set_dig(a->z, 1); fp_read_bin(a->x, bin + 1, RLC_FP_BYTES); if (len == RLC_FP_BYTES + 1) { switch(bin[0]) { case 2: fp_zero(a->y); break; case 3: fp_zero(a->y); fp_set_bit(a->y, 0, 1); break; default: RLC_THROW(ERR_NO_VALID); break; } ep_upk(a, a); } if (len == 2 * RLC_FP_BYTES + 1) { if (bin[0] == 4) { fp_read_bin(a->y, bin + RLC_FP_BYTES + 1, RLC_FP_BYTES); } else { RLC_THROW(ERR_NO_VALID); return; } } if (!ep_on_curve(a)) { RLC_THROW(ERR_NO_VALID); return; } }
Base
1
void ep2_map_dst(ep2_t p, const uint8_t *msg, int len, const uint8_t *dst, int dst_len) { /* enough space for two field elements plus extra bytes for uniformity */ const int len_per_elm = (FP_PRIME + ep_param_level() + 7) / 8; uint8_t *pseudo_random_bytes = RLC_ALLOCA(uint8_t, 4 * len_per_elm); RLC_TRY { /* XXX(rsw) See note in ep/relic_ep_map.c about using MD_MAP. */ /* hash to a pseudorandom string using md_xmd */ md_xmd(pseudo_random_bytes, 4 * len_per_elm, msg, len, dst, dst_len); ep2_map_from_field(p, pseudo_random_bytes, 2 * len_per_elm); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { RLC_FREE(pseudo_random_bytes); } }
Base
1
void ep2_map(ep2_t p, const uint8_t *msg, int len) { ep2_map_dst(p, msg, len, (const uint8_t *)"RELIC", 5); }
Base
1
void ep2_mul_dig(ep2_t r, const ep2_t p, const dig_t k) { ep2_t t; bn_t _k; int8_t u, naf[RLC_DIG + 1]; int l; ep2_null(t); bn_null(_k); if (k == 0 || ep2_is_infty(p)) { ep2_set_infty(r); return; } RLC_TRY { ep2_new(t); bn_new(_k); bn_set_dig(_k, k); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _k, 2); ep2_set_infty(t); for (int i = l - 1; i >= 0; i--) { ep2_dbl(t, t); u = naf[i]; if (u > 0) { ep2_add(t, t, p); } else if (u < 0) { ep2_sub(t, t, p); } } ep2_norm(r, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep2_free(t); bn_free(_k); } }
Base
1
void ep2_mul_basic(ep2_t r, const ep2_t p, const bn_t k) { int i, l; ep2_t t; ep2_null(t); if (bn_is_zero(k) || ep2_is_infty(p)) { ep2_set_infty(r); return; } RLC_TRY { ep2_new(t); l = bn_bits(k); if (bn_get_bit(k, l - 1)) { ep2_copy(t, p); } else { ep2_set_infty(t); } for (i = l - 2; i >= 0; i--) { ep2_dbl(t, t); if (bn_get_bit(k, i)) { ep2_add(t, t, p); } } ep2_copy(r, t); ep2_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep2_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep2_free(t); } }
Base
1
void ep2_mul_slide(ep2_t r, const ep2_t p, const bn_t k) { ep2_t t[1 << (EP_WIDTH - 1)], q; int i, j, l; uint8_t win[RLC_FP_BITS + 1]; ep2_null(q); if (bn_is_zero(k) || ep2_is_infty(p)) { ep2_set_infty(r); return; } RLC_TRY { for (i = 0; i < (1 << (EP_WIDTH - 1)); i ++) { ep2_null(t[i]); ep2_new(t[i]); } ep2_new(q); ep2_copy(t[0], p); ep2_dbl(q, p); #if defined(EP_MIXED) ep2_norm(q, q); #endif /* Create table. */ for (i = 1; i < (1 << (EP_WIDTH - 1)); i++) { ep2_add(t[i], t[i - 1], q); } #if defined(EP_MIXED) ep2_norm_sim(t + 1, t + 1, (1 << (EP_WIDTH - 1)) - 1); #endif ep2_set_infty(q); l = RLC_FP_BITS + 1; bn_rec_slw(win, &l, k, EP_WIDTH); for (i = 0; i < l; i++) { if (win[i] == 0) { ep2_dbl(q, q); } else { for (j = 0; j < util_bits_dig(win[i]); j++) { ep2_dbl(q, q); } ep2_add(q, q, t[win[i] >> 1]); } } ep2_norm(r, q); if (bn_sign(k) == RLC_NEG) { ep2_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < (1 << (EP_WIDTH - 1)); i++) { ep2_free(t[i]); } ep2_free(q); } }
Base
1
static void ep2_mul_naf_imp(ep2_t r, const ep2_t p, const bn_t k) { int l, i, n; int8_t naf[RLC_FP_BITS + 1]; ep2_t t[1 << (EP_WIDTH - 2)]; RLC_TRY { /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_null(t[i]); ep2_new(t[i]); } /* Compute the precomputation table. */ ep2_tab(t, p, EP_WIDTH); /* Compute the w-NAF representation of k. */ l = sizeof(naf); bn_rec_naf(naf, &l, k, EP_WIDTH); ep2_set_infty(r); for (i = l - 1; i >= 0; i--) { ep2_dbl(r, r); n = naf[i]; if (n > 0) { ep2_add(r, r, t[n / 2]); } if (n < 0) { ep2_sub(r, r, t[-n / 2]); } } /* Convert r to affine coordinates. */ ep2_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep2_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_free(t[i]); } } }
Base
1
static void ep2_mul_glv_imp(ep2_t r, const ep2_t p, const bn_t k) { int i, j, l, _l[4]; bn_t n, _k[4], u; int8_t naf[4][RLC_FP_BITS + 1]; ep2_t q[4]; bn_null(n); bn_null(u); RLC_TRY { bn_new(n); bn_new(u); for (i = 0; i < 4; i++) { bn_null(_k[i]); ep2_null(q[i]); bn_new(_k[i]); ep2_new(q[i]); } ep2_curve_get_ord(n); fp_prime_get_par(u); bn_mod(_k[0], k, n); bn_rec_frb(_k, 4, _k[0], u, n, ep_curve_is_pairf() == EP_BN); ep2_norm(q[0], p); ep2_frb(q[1], q[0], 1); ep2_frb(q[2], q[1], 1); ep2_frb(q[3], q[2], 1); l = 0; for (i = 0; i < 4; i++) { if (bn_sign(_k[i]) == RLC_NEG) { ep2_neg(q[i], q[i]); } _l[i] = RLC_FP_BITS + 1; bn_rec_naf(naf[i], &_l[i], _k[i], 2); l = RLC_MAX(l, _l[i]); } ep2_set_infty(r); for (j = l - 1; j >= 0; j--) { ep2_dbl(r, r); for (i = 0; i < 4; i++) { if (naf[i][j] > 0) { ep2_add(r, r, q[i]); } if (naf[i][j] < 0) { ep2_sub(r, r, q[i]); } } } /* Convert r to affine coordinates. */ ep2_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(u); for (i = 0; i < 4; i++) { bn_free(_k[i]); ep2_free(q[i]); } } }
Base
1
static void ep2_mul_fix_plain(ep2_t r, const ep2_t *table, const bn_t k) { int len, i, n; int8_t naf[2 * RLC_FP_BITS + 1], *t; if (bn_is_zero(k)) { ep2_set_infty(r); return; } /* Compute the w-TNAF representation of k. */ len = 2 * RLC_FP_BITS + 1; bn_rec_naf(naf, &len, k, EP_DEPTH); t = naf + len - 1; ep2_set_infty(r); for (i = len - 1; i >= 0; i--, t--) { ep2_dbl(r, r); n = *t; if (n > 0) { ep2_add(r, r, table[n / 2]); } if (n < 0) { ep2_sub(r, r, table[-n / 2]); } } /* Convert r to affine coordinates. */ ep2_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep2_neg(r, r); } }
Base
1
static void ep2_mul_sim_plain(ep2_t r, const ep2_t p, const bn_t k, const ep2_t q, const bn_t m, const ep2_t *t) { int i, l, l0, l1, n0, n1, w, gen; int8_t naf0[2 * RLC_FP_BITS + 1], naf1[2 * RLC_FP_BITS + 1], *_k, *_m; ep2_t t0[1 << (EP_WIDTH - 2)]; ep2_t t1[1 << (EP_WIDTH - 2)]; RLC_TRY { gen = (t == NULL ? 0 : 1); if (!gen) { for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_null(t0[i]); ep2_new(t0[i]); } ep2_tab(t0, p, EP_WIDTH); t = (ep2_t *)t0; } /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_null(t1[i]); ep2_new(t1[i]); } /* Compute the precomputation table. */ ep2_tab(t1, q, EP_WIDTH); /* Compute the w-TNAF representation of k. */ if (gen) { w = EP_DEPTH; } else { w = EP_WIDTH; } l0 = l1 = 2 * RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, k, w); bn_rec_naf(naf1, &l1, m, EP_WIDTH); l = RLC_MAX(l0, l1); _k = naf0 + l - 1; _m = naf1 + l - 1; if (bn_sign(k) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(m) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } ep2_set_infty(r); for (i = l - 1; i >= 0; i--, _k--, _m--) { ep2_dbl(r, r); n0 = *_k; n1 = *_m; if (n0 > 0) { ep2_add(r, r, t[n0 / 2]); } if (n0 < 0) { ep2_sub(r, r, t[-n0 / 2]); } if (n1 > 0) { ep2_add(r, r, t1[n1 / 2]); } if (n1 < 0) { ep2_sub(r, r, t1[-n1 / 2]); } } /* Convert r to affine coordinates. */ ep2_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation tables. */ if (!gen) { for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_free(t0[i]); } } for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep2_free(t1[i]); } } }
Base
1
void ep2_mul_sim_dig(ep2_t r, const ep2_t p[], const dig_t k[], int len) { ep2_t t; int max; ep2_null(t); max = util_bits_dig(k[0]); for (int i = 1; i < len; i++) { max = RLC_MAX(max, util_bits_dig(k[i])); } RLC_TRY { ep2_new(t); ep2_set_infty(t); for (int i = max - 1; i >= 0; i--) { ep2_dbl(t, t); for (int j = 0; j < len; j++) { if (k[j] & ((dig_t)1 << i)) { ep2_add(t, t, p[j]); } } } ep2_norm(r, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep2_free(t); } }
Base
1
static void ep2_mul_sim_endom(ep2_t r, const ep2_t p, const bn_t k, ep2_t q, const bn_t m) { int i, j, l, _l[4]; bn_t _k[4], _m[4], n, u; int8_t naf0[4][RLC_FP_BITS + 1]; int8_t naf1[4][RLC_FP_BITS + 1]; ep2_t _p[4], _q[4]; bn_null(n); bn_null(u); RLC_TRY { bn_new(n); bn_new(u); for (i = 0; i < 4; i++) { bn_null(_k[i]); bn_new(_k[i]); bn_null(_m[i]); bn_new(_m[i]); ep2_null(_p[i]); ep2_null(_q[i]); ep2_new(_p[i]); ep2_new(_q[i]); } ep2_norm(_p[0], p); ep2_frb(_p[1], _p[0], 1); ep2_frb(_p[2], _p[1], 1); ep2_frb(_p[3], _p[2], 1); ep2_norm(_q[0], q); ep2_frb(_q[1], _q[0], 1); ep2_frb(_q[2], _q[1], 1); ep2_frb(_q[3], _q[2], 1); ep2_curve_get_ord(n); fp_prime_get_par(u); bn_mod(_k[0], k, n); bn_rec_frb(_k, 4, _k[0], u, n, ep_curve_is_pairf() == EP_BN); bn_mod(_m[0], m, n); bn_rec_frb(_m, 4, _m[0], u, n, ep_curve_is_pairf() == EP_BN); l = 0; for (i = 0; i < 4; i++) { _l[i] = RLC_FP_BITS + 1; bn_rec_naf(naf0[i], &_l[i], _k[i], 2); if (bn_sign(_k[i]) == RLC_NEG) { ep2_neg(_p[i], _p[i]); } l = RLC_MAX(l, _l[i]); _l[i] = RLC_FP_BITS + 1; bn_rec_naf(naf1[i], &_l[i], _m[i], 2); if (bn_sign(_m[i]) == RLC_NEG) { ep2_neg(_q[i], _q[i]); } l = RLC_MAX(l, _l[i]); } ep2_set_infty(r); for (i = l - 1; i >= 0; i--) { ep2_dbl(r, r); for (j = 0; j < 4; j++) { if (naf0[j][i] > 0) { ep2_add(r, r, _p[j]); } if (naf0[j][i] < 0) { ep2_sub(r, r, _p[j]); } if (naf1[j][i] > 0) { ep2_add(r, r, _q[j]); } if (naf1[j][i] < 0) { ep2_sub(r, r, _q[j]); } } } /* Convert r to affine coordinates. */ ep2_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(u); for (i = 0; i < 4; i++) { bn_free(_k[i]); bn_free(_m[i]); ep2_free(_p[i]); ep2_free(_q[i]); } } }
Base
1
void ep2_mul_sim_joint(ep2_t r, const ep2_t p, const bn_t k, const ep2_t q, const bn_t m) { bn_t n, _k, _m; ep2_t t[5]; int i, l, u_i, offset; int8_t jsf[2 * (RLC_FP_BITS + 1)]; if (bn_is_zero(k) || ep2_is_infty(p)) { ep2_mul(r, q, m); return; } if (bn_is_zero(m) || ep2_is_infty(q)) { ep2_mul(r, p, k); return; } bn_null(n); bn_null(_k); bn_null(_m); RLC_TRY { bn_new(n); bn_new(_k); bn_new(_m); for (i = 0; i < 5; i++) { ep2_null(t[i]); ep2_new(t[i]); } ep2_curve_get_ord(n); bn_mod(_k, k, n); bn_mod(_m, m, n); ep2_set_infty(t[0]); ep2_copy(t[1], q); if (bn_sign(_m) == RLC_NEG) { ep2_neg(t[1], t[1]); } ep2_copy(t[2], p); if (bn_sign(_k) == RLC_NEG) { ep2_neg(t[2], t[2]); } ep2_add(t[3], t[2], t[1]); ep2_sub(t[4], t[2], t[1]); #if defined(EP_MIXED) ep2_norm_sim(t + 3, t + 3, 2); #endif l = 2 * (RLC_FP_BITS + 1); bn_rec_jsf(jsf, &l, _k, _m); ep2_set_infty(r); offset = RLC_MAX(bn_bits(_k), bn_bits(_m)) + 1; for (i = l - 1; i >= 0; i--) { ep2_dbl(r, r); if (jsf[i] != 0 && jsf[i] == -jsf[i + offset]) { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep2_sub(r, r, t[4]); } else { ep2_add(r, r, t[4]); } } else { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep2_sub(r, r, t[-u_i]); } else { ep2_add(r, r, t[u_i]); } } } ep2_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(_k); bn_free(_m); for (i = 0; i < 5; i++) { ep2_free(t[i]); } } }
Base
1
void ep2_read_bin(ep2_t a, const uint8_t *bin, int len) { if (len == 1) { if (bin[0] == 0) { ep2_set_infty(a); return; } else { RLC_THROW(ERR_NO_BUFFER); return; } } if (len != (2 * RLC_FP_BYTES + 1) && len != (4 * RLC_FP_BYTES + 1)) { RLC_THROW(ERR_NO_BUFFER); return; } a->coord = BASIC; fp2_set_dig(a->z, 1); fp2_read_bin(a->x, bin + 1, 2 * RLC_FP_BYTES); if (len == 2 * RLC_FP_BYTES + 1) { switch(bin[0]) { case 2: fp2_zero(a->y); break; case 3: fp2_zero(a->y); fp_set_bit(a->y[0], 0, 1); fp_zero(a->y[1]); break; default: RLC_THROW(ERR_NO_VALID); break; } ep2_upk(a, a); } if (len == 4 * RLC_FP_BYTES + 1) { if (bin[0] == 4) { fp2_read_bin(a->y, bin + 2 * RLC_FP_BYTES + 1, 2 * RLC_FP_BYTES); } else { RLC_THROW(ERR_NO_VALID); return; } } if (!ep2_on_curve(a)) { RLC_THROW(ERR_NO_VALID); } }
Base
1
void ep2_write_bin(uint8_t *bin, int len, const ep2_t a, int pack) { ep2_t t; ep2_null(t); memset(bin, 0, len); if (ep2_is_infty(a)) { if (len < 1) { RLC_THROW(ERR_NO_BUFFER); return; } else { return; } } RLC_TRY { ep2_new(t); ep2_norm(t, a); if (pack) { if (len < 2 * RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { ep2_pck(t, t); bin[0] = 2 | fp_get_bit(t->y[0], 0); fp2_write_bin(bin + 1, 2 * RLC_FP_BYTES, t->x, 0); } } else { if (len < 4 * RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { bin[0] = 4; fp2_write_bin(bin + 1, 2 * RLC_FP_BYTES, t->x, 0); fp2_write_bin(bin + 2 * RLC_FP_BYTES + 1, 2 * RLC_FP_BYTES, t->y, 0); } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep2_free(t); } }
Base
1
void ep4_map(ep4_t p, const uint8_t *msg, int len) { bn_t x; fp4_t t0; uint8_t digest[RLC_MD_LEN]; bn_null(x); fp4_null(t0); RLC_TRY { bn_new(x); fp4_new(t0); md_map(digest, msg, len); bn_read_bin(x, digest, RLC_MIN(RLC_FP_BYTES, RLC_MD_LEN)); fp4_zero(p->x); fp_prime_conv(p->x[0][0], x); fp4_set_dig(p->z, 1); while (1) { ep4_rhs(t0, p); if (fp4_srt(p->y, t0)) { p->coord = BASIC; break; } fp_add_dig(p->x[0][0], p->x[0][0], 1); } ep4_mul_cof(p, p); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(x); fp4_free(t0); } }
Base
1
static void ep4_mul_naf_imp(ep4_t r, const ep4_t p, const bn_t k) { int l, i, n; int8_t naf[RLC_FP_BITS + 1]; ep4_t t[1 << (EP_WIDTH - 2)]; RLC_TRY { /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_null(t[i]); ep4_new(t[i]); } /* Compute the precomputation table. */ ep4_tab(t, p, EP_WIDTH); /* Compute the w-NAF representation of k. */ l = sizeof(naf); bn_rec_naf(naf, &l, k, EP_WIDTH); ep4_set_infty(r); for (i = l - 1; i >= 0; i--) { ep4_dbl(r, r); n = naf[i]; if (n > 0) { ep4_add(r, r, t[n / 2]); } if (n < 0) { ep4_sub(r, r, t[-n / 2]); } } /* Convert r to affine coordinates. */ ep4_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep4_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_free(t[i]); } } }
Base
1
static void ep4_mul_glv_imp(ep4_t r, const ep4_t p, const bn_t k) { int sign, i, j, l, _l[8]; bn_t n, _k[8], u, v; int8_t naf[8][RLC_FP_BITS + 1]; ep4_t q[8]; bn_null(n); bn_null(u); bn_null(v); RLC_TRY { bn_new(n); bn_new(u); bn_new(v); for (i = 0; i < 8; i++) { bn_null(_k[i]); ep4_null(q[i]); bn_new(_k[i]); ep4_new(q[i]); } bn_abs(v, k); ep4_curve_get_ord(n); if (bn_cmp_abs(v, n) == RLC_GT) { bn_mod(v, v, n); } fp_prime_get_par(u); sign = bn_sign(u); bn_abs(u, u); ep4_norm(q[0], p); for (i = 0; i < 8; i++) { bn_mod(_k[i], v, u); bn_div(v, v, u); if ((sign == RLC_NEG) && (i % 2 != 0)) { bn_neg(_k[i], _k[i]); } if (bn_sign(k) == RLC_NEG) { bn_neg(_k[i], _k[i]); } if (i > 0) { ep4_frb(q[i], q[i - 1], 1); } } l = 0; for (i = 0; i < 8; i++) { if (bn_sign(_k[i]) == RLC_NEG) { ep4_neg(q[i], q[i]); } _l[i] = RLC_FP_BITS + 1; bn_rec_naf(naf[i], &_l[i], _k[i], 2); l = RLC_MAX(l, _l[i]); } ep4_set_infty(r); for (j = l - 1; j >= 0; j--) { ep4_dbl(r, r); for (i = 0; i < 8; i++) { if (naf[i][j] > 0) { ep4_add(r, r, q[i]); } if (naf[i][j] < 0) { ep4_sub(r, r, q[i]); } } } /* Convert r to affine coordinates. */ ep4_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); bn_free(u); bn_free(v); for (i = 0; i < 8; i++) { bn_free(_k[i]); ep4_free(q[i]); } } }
Base
1
void ep4_mul_slide(ep4_t r, const ep4_t p, const bn_t k) { ep4_t t[1 << (EP_WIDTH - 1)], q; int i, j, l; uint8_t win[RLC_FP_BITS + 1]; ep4_null(q); if (bn_is_zero(k) || ep4_is_infty(p)) { ep4_set_infty(r); return; } RLC_TRY { for (i = 0; i < (1 << (EP_WIDTH - 1)); i ++) { ep4_null(t[i]); ep4_new(t[i]); } ep4_new(q); ep4_copy(t[0], p); ep4_dbl(q, p); #if defined(EP_MIXED) ep4_norm(q, q); #endif /* Create table. */ for (i = 1; i < (1 << (EP_WIDTH - 1)); i++) { ep4_add(t[i], t[i - 1], q); } #if defined(EP_MIXED) ep4_norm_sim(t + 1, t + 1, (1 << (EP_WIDTH - 1)) - 1); #endif ep4_set_infty(q); l = RLC_FP_BITS + 1; bn_rec_slw(win, &l, k, EP_WIDTH); for (i = 0; i < l; i++) { if (win[i] == 0) { ep4_dbl(q, q); } else { for (j = 0; j < util_bits_dig(win[i]); j++) { ep4_dbl(q, q); } ep4_add(q, q, t[win[i] >> 1]); } } ep4_norm(r, q); if (bn_sign(k) == RLC_NEG) { ep4_neg(r, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < (1 << (EP_WIDTH - 1)); i++) { ep4_free(t[i]); } ep4_free(q); } }
Base
1
static void ep4_mul_pre_ordin(ep4_t *t, const ep4_t p) { int i; ep4_dbl(t[0], p); #if defined(EP_MIXED) ep4_norm(t[0], t[0]); #endif #if EP_DEPTH > 2 ep4_add(t[1], t[0], p); for (i = 2; i < (1 << (EP_DEPTH - 2)); i++) { ep4_add(t[i], t[i - 1], t[0]); } #if defined(EP_MIXED) for (i = 1; i < (1 << (EP_DEPTH - 2)); i++) { ep4_norm(t[i], t[i]); } #endif #endif ep4_copy(t[0], p); }
Base
1
static void ep4_mul_fix_ordin(ep4_t r, const ep4_t *table, const bn_t k) { int len, i, n; int8_t naf[2 * RLC_FP_BITS + 1], *t; if (bn_is_zero(k)) { ep4_set_infty(r); return; } /* Compute the w-TNAF representation of k. */ len = 2 * RLC_FP_BITS + 1; bn_rec_naf(naf, &len, k, EP_DEPTH); t = naf + len - 1; ep4_set_infty(r); for (i = len - 1; i >= 0; i--, t--) { ep4_dbl(r, r); n = *t; if (n > 0) { ep4_add(r, r, table[n / 2]); } if (n < 0) { ep4_sub(r, r, table[-n / 2]); } } /* Convert r to affine coordinates. */ ep4_norm(r, r); if (bn_sign(k) == RLC_NEG) { ep4_neg(r, r); } }
Base
1
void ep4_mul_sim_trick(ep4_t r, const ep4_t p, const bn_t k, const ep4_t q, const bn_t m) { ep4_t t0[1 << (EP_WIDTH / 2)]; ep4_t t1[1 << (EP_WIDTH / 2)]; ep4_t t[1 << EP_WIDTH]; bn_t n; int l0, l1, w = EP_WIDTH / 2; uint8_t w0[2 * RLC_FP_BITS], w1[2 * RLC_FP_BITS]; bn_null(n); if (bn_is_zero(k) || ep4_is_infty(p)) { ep4_mul(r, q, m); return; } if (bn_is_zero(m) || ep4_is_infty(q)) { ep4_mul(r, p, k); return; } RLC_TRY { bn_new(n); ep4_curve_get_ord(n); for (int i = 0; i < (1 << w); i++) { ep4_null(t0[i]); ep4_null(t1[i]); ep4_new(t0[i]); ep4_new(t1[i]); } for (int i = 0; i < (1 << EP_WIDTH); i++) { ep4_null(t[i]); ep4_new(t[i]); } ep4_set_infty(t0[0]); ep4_copy(t0[1], p); if (bn_sign(k) == RLC_NEG) { ep4_neg(t0[1], t0[1]); } for (int i = 2; i < (1 << w); i++) { ep4_add(t0[i], t0[i - 1], t0[1]); } ep4_set_infty(t1[0]); ep4_copy(t1[1], q); if (bn_sign(m) == RLC_NEG) { ep4_neg(t1[1], t1[1]); } for (int i = 1; i < (1 << w); i++) { ep4_add(t1[i], t1[i - 1], t1[1]); } for (int i = 0; i < (1 << w); i++) { for (int j = 0; j < (1 << w); j++) { ep4_add(t[(i << w) + j], t0[i], t1[j]); } } #if defined(EP_MIXED) ep4_norm_sim(t + 1, t + 1, (1 << (EP_WIDTH)) - 1); #endif l0 = l1 = RLC_CEIL(2 * RLC_FP_BITS, w); bn_rec_win(w0, &l0, k, w); bn_rec_win(w1, &l1, m, w); for (int i = l0; i < l1; i++) { w0[i] = 0; } for (int i = l1; i < l0; i++) { w1[i] = 0; } ep4_set_infty(r); for (int i = RLC_MAX(l0, l1) - 1; i >= 0; i--) { for (int j = 0; j < w; j++) { ep4_dbl(r, r); } ep4_add(r, r, t[(w0[i] << w) + w1[i]]); } ep4_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(n); for (int i = 0; i < (1 << w); i++) { ep4_free(t0[i]); ep4_free(t1[i]); } for (int i = 0; i < (1 << EP_WIDTH); i++) { ep4_free(t[i]); } } }
Base
1
void ep4_mul_sim_joint(ep4_t r, const ep4_t p, const bn_t k, const ep4_t q, const bn_t m) { ep4_t t[5]; int i, l, u_i, offset; int8_t jsf[4 * (RLC_FP_BITS + 1)]; if (bn_is_zero(k) || ep4_is_infty(p)) { ep4_mul(r, q, m); return; } if (bn_is_zero(m) || ep4_is_infty(q)) { ep4_mul(r, p, k); return; } RLC_TRY { for (i = 0; i < 5; i++) { ep4_null(t[i]); ep4_new(t[i]); } ep4_set_infty(t[0]); ep4_copy(t[1], q); if (bn_sign(m) == RLC_NEG) { ep4_neg(t[1], t[1]); } ep4_copy(t[2], p); if (bn_sign(k) == RLC_NEG) { ep4_neg(t[2], t[2]); } ep4_add(t[3], t[2], t[1]); ep4_sub(t[4], t[2], t[1]); #if defined(EP_MIXED) ep4_norm_sim(t + 3, t + 3, 2); #endif l = 4 * (RLC_FP_BITS + 1); bn_rec_jsf(jsf, &l, k, m); ep4_set_infty(r); offset = RLC_MAX(bn_bits(k), bn_bits(m)) + 1; for (i = l - 1; i >= 0; i--) { ep4_dbl(r, r); if (jsf[i] != 0 && jsf[i] == -jsf[i + offset]) { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep4_sub(r, r, t[4]); } else { ep4_add(r, r, t[4]); } } else { u_i = jsf[i] * 2 + jsf[i + offset]; if (u_i < 0) { ep4_sub(r, r, t[-u_i]); } else { ep4_add(r, r, t[u_i]); } } } ep4_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < 5; i++) { ep4_free(t[i]); } } }
Base
1
static void ep4_mul_sim_plain(ep4_t r, const ep4_t p, const bn_t k, const ep4_t q, const bn_t m, ep4_t *t) { int i, l, l0, l1, n0, n1, w, gen; int8_t naf0[2 * RLC_FP_BITS + 1], naf1[2 * RLC_FP_BITS + 1], *_k, *_m; ep4_t t0[1 << (EP_WIDTH - 2)]; ep4_t t1[1 << (EP_WIDTH - 2)]; RLC_TRY { gen = (t == NULL ? 0 : 1); if (!gen) { for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_null(t0[i]); ep4_new(t0[i]); } ep4_tab(t0, p, EP_WIDTH); t = (ep4_t *)t0; } /* Prepare the precomputation table. */ for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_null(t1[i]); ep4_new(t1[i]); } /* Compute the precomputation table. */ ep4_tab(t1, q, EP_WIDTH); /* Compute the w-TNAF representation of k. */ if (gen) { w = EP_DEPTH; } else { w = EP_WIDTH; } l0 = l1 = 2 * RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, k, w); bn_rec_naf(naf1, &l1, m, EP_WIDTH); l = RLC_MAX(l0, l1); _k = naf0 + l - 1; _m = naf1 + l - 1; if (bn_sign(k) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(m) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } ep4_set_infty(r); for (i = l - 1; i >= 0; i--, _k--, _m--) { ep4_dbl(r, r); n0 = *_k; n1 = *_m; if (n0 > 0) { ep4_add(r, r, t[n0 / 2]); } if (n0 < 0) { ep4_sub(r, r, t[-n0 / 2]); } if (n1 > 0) { ep4_add(r, r, t1[n1 / 2]); } if (n1 < 0) { ep4_sub(r, r, t1[-n1 / 2]); } } /* Convert r to affine coordinates. */ ep4_norm(r, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { /* Free the precomputation tables. */ if (!gen) { for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_free(t0[i]); } } for (i = 0; i < (1 << (EP_WIDTH - 2)); i++) { ep4_free(t1[i]); } } }
Base
1
void ep4_mul_sim_dig(ep4_t r, const ep4_t p[], const dig_t k[], int len) { ep4_t t; int max; ep4_null(t); max = util_bits_dig(k[0]); for (int i = 1; i < len; i++) { max = RLC_MAX(max, util_bits_dig(k[i])); } RLC_TRY { ep4_new(t); ep4_set_infty(t); for (int i = max - 1; i >= 0; i--) { ep4_dbl(t, t); for (int j = 0; j < len; j++) { if (k[j] & ((dig_t)1 << i)) { ep4_add(t, t, p[j]); } } } ep4_norm(r, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep4_free(t); } }
Base
1
void ep4_write_bin(uint8_t *bin, int len, const ep4_t a, int pack) { ep4_t t; ep4_null(t); memset(bin, 0, len); if (ep4_is_infty(a)) { if (len < 1) { RLC_THROW(ERR_NO_BUFFER); return; } else { return; } } RLC_TRY { ep4_new(t); ep4_norm(t, a); if (len < 8 * RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); } else { bin[0] = 4; fp4_write_bin(bin + 1, 4 * RLC_FP_BYTES, t->x); fp4_write_bin(bin + 4 * RLC_FP_BYTES + 1, 4 * RLC_FP_BYTES, t->y); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { ep4_free(t); } }
Base
1
void ep4_read_bin(ep4_t a, const uint8_t *bin, int len) { if (len == 1) { if (bin[0] == 0) { ep4_set_infty(a); return; } else { RLC_THROW(ERR_NO_BUFFER); return; } } if (len != (8 * RLC_FP_BYTES + 1)) { RLC_THROW(ERR_NO_BUFFER); return; } a->coord = BASIC; fp4_set_dig(a->z, 1); fp4_read_bin(a->x, bin + 1, 4 * RLC_FP_BYTES); if (len == 8 * RLC_FP_BYTES + 1) { if (bin[0] == 4) { fp4_read_bin(a->y, bin + 4 * RLC_FP_BYTES + 1, 4 * RLC_FP_BYTES); } else { RLC_THROW(ERR_NO_VALID); return; } } if (!ep4_on_curve(a)) { RLC_THROW(ERR_NO_VALID); } }
Base
1
void fb_exp_basic(fb_t c, const fb_t a, const bn_t b) { int i, l; fb_t r; if (bn_is_zero(b)) { fb_set_dig(c, 1); return; } fb_null(r); RLC_TRY { fb_new(r); l = bn_bits(b); fb_copy(r, a); for (i = l - 2; i >= 0; i--) { fb_sqr(r, r); if (bn_get_bit(b, i)) { fb_mul(r, r, a); } } if (bn_sign(b) == RLC_NEG) { fb_inv(c, r); } else { fb_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fb_free(r); } }
Base
1
void fb_exp_slide(fb_t c, const fb_t a, const bn_t b) { fb_t t[1 << (FB_WIDTH - 1)], r; int i, j, l; uint8_t win[RLC_FB_BITS + 1]; fb_null(r); if (bn_is_zero(b)) { fb_set_dig(c, 1); return; } /* Initialize table. */ for (i = 0; i < (1 << (FB_WIDTH - 1)); i++) { fb_null(t[i]); } RLC_TRY { for (i = 0; i < (1 << (FB_WIDTH - 1)); i ++) { fb_new(t[i]); } fb_new(r); fb_copy(t[0], a); fb_sqr(r, a); /* Create table. */ for (i = 1; i < 1 << (FB_WIDTH - 1); i++) { fb_mul(t[i], t[i - 1], r); } fb_set_dig(r, 1); l = RLC_FB_BITS + 1; bn_rec_slw(win, &l, b, FB_WIDTH); for (i = 0; i < l; i++) { if (win[i] == 0) { fb_sqr(r, r); } else { for (j = 0; j < util_bits_dig(win[i]); j++) { fb_sqr(r, r); } fb_mul(r, r, t[win[i] >> 1]); } } if (bn_sign(b) == RLC_NEG) { fb_inv(c, r); } else { fb_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < (1 << (FB_WIDTH - 1)); i++) { fb_free(t[i]); } fb_free(r); } }
Base
1
void fb_write_bin(uint8_t *bin, int len, const fb_t a) { bn_t t; bn_null(t); if (len != RLC_FB_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } RLC_TRY { bn_new(t); bn_read_raw(t, a, RLC_FB_DIGS); bn_write_bin(bin, len, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
void fb_read_str(fb_t a, const char *str, int len, int radix) { bn_t t; bn_null(t); if (!valid_radix(radix)) { RLC_THROW(ERR_NO_VALID); } RLC_TRY { bn_new(t); bn_read_str(t, str, len, radix); if (bn_bits(t) > RLC_FB_BITS) { RLC_THROW(ERR_NO_BUFFER); } fb_zero(a); dv_copy(a, t->dp, t->used); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
static int log_radix(int radix) { int l = 0; while (radix > 0) { radix = radix / 2; l++; } return --l; }
Base
1
int fb_get_bit(const fb_t a, int bit) { int d; RLC_RIP(bit, d, bit); return (a[d] >> bit) & 1; }
Base
1
void fb_write_str(char *str, int len, const fb_t a, int radix) { fb_t t; int d, l, i, j; char c; fb_null(t); l = fb_size_str(a, radix); if (len < l) { RLC_THROW(ERR_NO_BUFFER); return; } len = l; l = log_radix(radix); if (!valid_radix(radix)) { RLC_THROW(ERR_NO_VALID); return; } if (fb_is_zero(a) == 1) { *str++ = '0'; *str = '\0'; return; } RLC_TRY { fb_new(t); fb_copy(t, a); j = 0; while (!fb_is_zero(t)) { d = t[0] % radix; fb_rshb_low(t, t, l); str[j] = util_conv_char(d); j++; } /* Reverse the digits of the string. */ i = 0; j = len - 2; while (i < j) { c = str[i]; str[i] = str[j]; str[j] = c; ++i; --j; } str[len - 1] = '\0'; } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fb_free(t); } }
Base
1
void fb_print(const fb_t a) { int i; /* Suppress possible unused parameter warning. */ (void)a; for (i = RLC_FB_DIGS - 1; i > 0; i--) { util_print_dig(a[i], 1); util_print(" "); } util_print_dig(a[0], 1); util_print("\n"); }
Base
1
void fb_read_bin(fb_t a, const uint8_t *bin, int len) { bn_t t; bn_null(t); if (len != RLC_FB_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } RLC_TRY { bn_new(t); bn_read_bin(t, bin, len); fb_copy(a, t->dp); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
void fb_set_bit(fb_t a, int bit, int value) { int d; dig_t mask; RLC_RIP(bit, d, bit); mask = (dig_t)1 << bit; if (value == 1) { a[d] |= mask; } else { a[d] &= ~mask; } }
Base
1
void fb_rand(fb_t a) { int bits, digits; rand_bytes((uint8_t *)a, RLC_FB_DIGS * sizeof(dig_t)); RLC_RIP(bits, digits, RLC_FB_BITS); if (bits > 0) { dig_t mask = RLC_MASK(bits); a[RLC_FB_DIGS - 1] &= mask; } }
Base
1
static int valid_radix(int radix) { while (radix > 0) { if (radix != 1 && radix % 2 == 1) return 0; radix = radix / 2; } return 1; }
Base
1
int fb_bits(const fb_t a) { int i = RLC_FB_DIGS - 1; while (i >= 0 && a[i] == 0) { i--; } if (i > 0) { return (i << RLC_DIG_LOG) + util_bits_dig(a[i]); } else { return util_bits_dig(a[0]); } }
Base
1
int fb_size_str(const fb_t a, int radix) { bn_t t; int digits = 0; bn_null(t); if (!valid_radix(radix)) { RLC_THROW(ERR_NO_VALID); return 0; } RLC_TRY { bn_new(t); bn_read_raw(t, a, RLC_FB_DIGS); digits = bn_size_str(t, radix); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } return digits; }
Base
1
void fp_exp_basic(fp_t c, const fp_t a, const bn_t b) { int i, l; fp_t r; fp_null(r); if (bn_is_zero(b)) { fp_set_dig(c, 1); return; } RLC_TRY { fp_new(r); l = bn_bits(b); fp_copy(r, a); for (i = l - 2; i >= 0; i--) { fp_sqr(r, r); if (bn_get_bit(b, i)) { fp_mul(r, r, a); } } if (bn_sign(b) == RLC_NEG) { fp_inv(c, r); } else { fp_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp_free(r); } }
Base
1
void fp_exp_slide(fp_t c, const fp_t a, const bn_t b) { fp_t t[1 << (FP_WIDTH - 1)], r; int i, j, l; uint8_t win[RLC_FP_BITS + 1]; fp_null(r); if (bn_is_zero(b)) { fp_set_dig(c, 1); return; } /* Initialize table. */ for (i = 0; i < (1 << (FP_WIDTH - 1)); i++) { fp_null(t[i]); } RLC_TRY { for (i = 0; i < (1 << (FP_WIDTH - 1)); i ++) { fp_new(t[i]); } fp_new(r); fp_copy(t[0], a); fp_sqr(r, a); /* Create table. */ for (i = 1; i < 1 << (FP_WIDTH - 1); i++) { fp_mul(t[i], t[i - 1], r); } fp_set_dig(r, 1); l = RLC_FP_BITS + 1; bn_rec_slw(win, &l, b, FP_WIDTH); for (i = 0; i < l; i++) { if (win[i] == 0) { fp_sqr(r, r); } else { for (j = 0; j < util_bits_dig(win[i]); j++) { fp_sqr(r, r); } fp_mul(r, r, t[win[i] >> 1]); } } if (bn_sign(b) == RLC_NEG) { fp_inv(c, r); } else { fp_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < (1 << (FP_WIDTH - 1)); i++) { fp_free(t[i]); } fp_free(r); } }
Base
1
void fp_prime_set_pmers(const int *f, int len) { bn_t p, t; bn_null(p); bn_null(t); RLC_TRY { bn_new(p); bn_new(t); if (len >= RLC_TERMS) { RLC_THROW(ERR_NO_VALID); return; } bn_set_2b(p, f[len - 1]); for (int i = len - 2; i > 0; i--) { if (f[i] > 0) { bn_set_2b(t, f[i]); bn_add(p, p, t); } else { bn_set_2b(t, -f[i]); bn_sub(p, p, t); } } if (f[0] > 0) { bn_add_dig(p, p, f[0]); } else { bn_sub_dig(p, p, -f[0]); } #if FP_RDC == QUICK || !defined(STRIP) ctx_t *ctx = core_get(); for (int i = 0; i < len; i++) { ctx->sps[i] = f[i]; } ctx->sps[len] = 0; ctx->sps_len = len; #endif /* FP_RDC == QUICK */ fp_prime_set(p); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(p); bn_free(t); } }
Base
1
int fp_size_str(const fp_t a, int radix) { bn_t t; int digits = 0; bn_null(t); RLC_TRY { bn_new(t); fp_prime_back(t, a); digits = bn_size_str(t, radix); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } return digits; }
Base
1
void fp_read_bin(fp_t a, const uint8_t *bin, int len) { bn_t t; bn_null(t); if (len != RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } RLC_TRY { bn_new(t); bn_read_bin(t, bin, len); /* Reject values out of bounds. */ if (bn_sign(t) == RLC_NEG || bn_cmp(t, &core_get()->prime) != RLC_LT) { RLC_THROW(ERR_NO_VALID); } else { if (bn_is_zero(t)) { fp_zero(a); } else { if (t->used == 1) { fp_prime_conv_dig(a, t->dp[0]); } else { fp_prime_conv(a, t); } } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
int fp_get_bit(const fp_t a, int bit) { int d; RLC_RIP(bit, d, bit); return (a[d] >> bit) & 1; }
Base
1
void fp_read_str(fp_t a, const char *str, int len, int radix) { bn_t t; bn_null(t); RLC_TRY { bn_new(t); bn_read_str(t, str, len, radix); if (bn_is_zero(t)) { fp_zero(a); } else { if (t->used == 1) { fp_prime_conv_dig(a, t->dp[0]); if (bn_sign(t) == RLC_NEG) { fp_neg(a, a); } } else { fp_prime_conv(a, t); } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
int fp_bits(const fp_t a) { int i = RLC_FP_DIGS - 1; while (i >= 0 && a[i] == 0) { i--; } if (i > 0) { return (i << RLC_DIG_LOG) + util_bits_dig(a[i]); } else { return util_bits_dig(a[0]); } }
Base
1
void fp_write_bin(uint8_t *bin, int len, const fp_t a) { bn_t t; bn_null(t); if (len != RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } RLC_TRY { bn_new(t); fp_prime_back(t, a); bn_write_bin(bin, len, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
void fp_write_str(char *str, int len, const fp_t a, int radix) { bn_t t; bn_null(t); RLC_TRY { bn_new(t); fp_prime_back(t, a); bn_write_str(str, len, t, radix); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(t); } }
Base
1
void fp_set_bit(fp_t a, int bit, int value) { int d; dig_t mask; RLC_RIP(bit, d, bit); mask = (dig_t)1 << bit; if (value == 1) { a[d] |= mask; } else { a[d] &= ~mask; } }
Base
1
void fp8_exp_cyc(fp8_t c, const fp8_t a, const bn_t b) { fp8_t r, s, t[1 << (FP_WIDTH - 2)]; int i, l; int8_t naf[RLC_FP_BITS + 1], *k; if (bn_is_zero(b)) { return fp8_set_dig(c, 1); } fp8_null(r); fp8_null(s); RLC_TRY { fp8_new(r); fp8_new(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i ++) { fp8_null(t[i]); fp8_new(t[i]); } #if FP_WIDTH > 2 fp8_sqr_cyc(t[0], a); fp8_mul(t[1], t[0], a); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp8_mul(t[i], t[i - 1], t[0]); } #endif fp8_copy(t[0], a); l = RLC_FP_BITS + 1; fp8_set_dig(r, 1); bn_rec_naf(naf, &l, b, FP_WIDTH); k = naf + l - 1; for (i = l - 1; i >= 0; i--, k--) { fp8_sqr_cyc(r, r); if (*k > 0) { fp8_mul(r, r, t[*k / 2]); } if (*k < 0) { fp8_inv_cyc(s, t[-*k / 2]); fp8_mul(r, r, s); } } if (bn_sign(b) == RLC_NEG) { fp8_inv_cyc(c, r); } else { fp8_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp8_free(r); fp8_free(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i++) { fp8_free(t[i]); } } }
Base
1
void fp2_exp_cyc(fp2_t c, const fp2_t a, const bn_t b) { fp2_t r, s, t[1 << (FP_WIDTH - 2)]; int i, l; int8_t naf[RLC_FP_BITS + 1], *k; if (bn_is_zero(b)) { return fp2_set_dig(c, 1); } fp2_null(r); fp2_null(s); RLC_TRY { fp2_new(r); fp2_new(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i ++) { fp2_null(t[i]); fp2_new(t[i]); } #if FP_WIDTH > 2 fp2_sqr(t[0], a); fp2_mul(t[1], t[0], a); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp2_mul(t[i], t[i - 1], t[0]); } #endif fp2_copy(t[0], a); l = RLC_FP_BITS + 1; fp2_set_dig(r, 1); bn_rec_naf(naf, &l, b, FP_WIDTH); k = naf + l - 1; for (i = l - 1; i >= 0; i--, k--) { fp2_sqr(r, r); if (*k > 0) { fp2_mul(r, r, t[*k / 2]); } if (*k < 0) { fp2_inv_cyc(s, t[-*k / 2]); fp2_mul(r, r, s); } } if (bn_sign(b) == RLC_NEG) { fp2_inv_cyc(c, r); } else { fp2_copy(c, r); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp2_free(r); fp2_free(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i++) { fp2_free(t[i]); } } }
Base
1
void fp24_exp_cyc_sim(fp24_t e, const fp24_t a, const bn_t b, const fp24_t c, const bn_t d) { int i, l, n0, n1, l0, l1; int8_t naf0[RLC_FP_BITS + 1], naf1[RLC_FP_BITS + 1], *_k, *_m; fp24_t r, t0[1 << (EP_WIDTH - 2)]; fp24_t s, t1[1 << (EP_WIDTH - 2)]; if (bn_is_zero(b)) { return fp24_exp_cyc(e, c, d); } if (bn_is_zero(d)) { return fp24_exp_cyc(e, a, b); } fp24_null(r); fp24_null(s); RLC_TRY { fp24_new(r); fp24_new(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i ++) { fp24_null(t0[i]); fp24_null(t1[i]); fp24_new(t0[i]); fp24_new(t1[i]); } #if FP_WIDTH > 2 fp24_sqr(t0[0], a); fp24_mul(t0[1], t0[0], a); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp24_mul(t0[i], t0[i - 1], t0[0]); } fp24_sqr(t1[0], c); fp24_mul(t1[1], t1[0], c); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp24_mul(t1[i], t1[i - 1], t1[0]); } #endif fp24_copy(t0[0], a); fp24_copy(t1[0], c); l0 = l1 = RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, b, FP_WIDTH); bn_rec_naf(naf1, &l1, d, FP_WIDTH); l = RLC_MAX(l0, l1); if (bn_sign(b) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(d) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } _k = naf0 + l - 1; _m = naf1 + l - 1; fp24_set_dig(r, 1); for (i = l - 1; i >= 0; i--, _k--, _m--) { fp24_sqr(r, r); n0 = *_k; n1 = *_m; if (n0 > 0) { fp24_mul(r, r, t0[n0 / 2]); } if (n0 < 0) { fp24_inv_cyc(s, t0[-n0 / 2]); fp24_mul(r, r, s); } if (n1 > 0) { fp24_mul(r, r, t1[n1 / 2]); } if (n1 < 0) { fp24_inv_cyc(s, t1[-n1 / 2]); fp24_mul(r, r, s); } } fp24_copy(e, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp24_free(r); fp24_free(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i++) { fp24_free(t0[i]); fp24_free(t1[i]); } } }
Base
1
void fp24_exp_cyc_sps(fp24_t c, const fp24_t a, const int *b, int len, int sign) { int i, j, k, w = len; fp24_t t, *u = RLC_ALLOCA(fp24_t, w); if (len == 0) { RLC_FREE(u); fp24_set_dig(c, 1); return; } fp24_null(t); RLC_TRY { if (u == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < w; i++) { fp24_null(u[i]); fp24_new(u[i]); } fp24_new(t); fp24_copy(t, a); if (b[0] == 0) { for (j = 0, i = 1; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp24_sqr_pck(t, t); } if (b[i] < 0) { fp24_inv_cyc(u[i - 1], t); } else { fp24_copy(u[i - 1], t); } } fp24_back_cyc_sim(u, u, w - 1); fp24_copy(c, a); for (i = 0; i < w - 1; i++) { fp24_mul(c, c, u[i]); } } else { for (j = 0, i = 0; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp24_sqr_pck(t, t); } if (b[i] < 0) { fp24_inv_cyc(u[i], t); } else { fp24_copy(u[i], t); } } fp24_back_cyc_sim(u, u, w); fp24_copy(c, u[0]); for (i = 1; i < w; i++) { fp24_mul(c, c, u[i]); } } if (sign == RLC_NEG) { fp24_inv_cyc(c, c); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < w; i++) { fp24_free(u[i]); } fp24_free(t); RLC_FREE(u); } }
Base
1
void fp12_exp_cyc_sps(fp12_t c, const fp12_t a, const int *b, int len, int sign) { int i, j, k, w = len; fp12_t t, *u = RLC_ALLOCA(fp12_t, w); if (len == 0) { RLC_FREE(u); fp12_set_dig(c, 1); return; } fp12_null(t); RLC_TRY { if (u == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < w; i++) { fp12_null(u[i]); fp12_new(u[i]); } fp12_new(t); fp12_copy(t, a); if (b[0] == 0) { for (j = 0, i = 1; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp12_sqr_pck(t, t); } if (b[i] < 0) { fp12_inv_cyc(u[i - 1], t); } else { fp12_copy(u[i - 1], t); } } fp12_back_cyc_sim(u, u, w - 1); fp12_copy(c, a); for (i = 0; i < w - 1; i++) { fp12_mul(c, c, u[i]); } } else { for (j = 0, i = 0; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp12_sqr_pck(t, t); } if (b[i] < 0) { fp12_inv_cyc(u[i], t); } else { fp12_copy(u[i], t); } } fp12_back_cyc_sim(u, u, w); fp12_copy(c, u[0]); for (i = 1; i < w; i++) { fp12_mul(c, c, u[i]); } } if (sign == RLC_NEG) { fp12_inv_cyc(c, c); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < w; i++) { fp12_free(u[i]); } fp12_free(t); RLC_FREE(u); } }
Base
1
void fp2_exp_cyc_sim(fp2_t e, const fp2_t a, const bn_t b, const fp2_t c, const bn_t d) { int i, l, n0, n1, l0, l1; int8_t naf0[RLC_FP_BITS + 1], naf1[RLC_FP_BITS + 1], *_k, *_m; fp2_t r, t0[1 << (EP_WIDTH - 2)]; fp2_t s, t1[1 << (EP_WIDTH - 2)]; if (bn_is_zero(b)) { return fp2_exp_cyc(e, c, d); } if (bn_is_zero(d)) { return fp2_exp_cyc(e, a, b); } fp2_null(r); fp2_null(s); RLC_TRY { fp2_new(r); fp2_new(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i ++) { fp2_null(t0[i]); fp2_null(t1[i]); fp2_new(t0[i]); fp2_new(t1[i]); } #if FP_WIDTH > 2 fp2_sqr(t0[0], a); fp2_mul(t0[1], t0[0], a); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp2_mul(t0[i], t0[i - 1], t0[0]); } fp2_sqr(t1[0], c); fp2_mul(t1[1], t1[0], c); for (int i = 2; i < (1 << (FP_WIDTH - 2)); i++) { fp2_mul(t1[i], t1[i - 1], t1[0]); } #endif fp2_copy(t0[0], a); fp2_copy(t1[0], c); l0 = l1 = RLC_FP_BITS + 1; bn_rec_naf(naf0, &l0, b, FP_WIDTH); bn_rec_naf(naf1, &l1, d, FP_WIDTH); l = RLC_MAX(l0, l1); if (bn_sign(b) == RLC_NEG) { for (i = 0; i < l0; i++) { naf0[i] = -naf0[i]; } } if (bn_sign(d) == RLC_NEG) { for (i = 0; i < l1; i++) { naf1[i] = -naf1[i]; } } _k = naf0 + l - 1; _m = naf1 + l - 1; fp2_set_dig(r, 1); for (i = l - 1; i >= 0; i--, _k--, _m--) { fp2_sqr(r, r); n0 = *_k; n1 = *_m; if (n0 > 0) { fp2_mul(r, r, t0[n0 / 2]); } if (n0 < 0) { fp2_inv_cyc(s, t0[-n0 / 2]); fp2_mul(r, r, s); } if (n1 > 0) { fp2_mul(r, r, t1[n1 / 2]); } if (n1 < 0) { fp2_inv_cyc(s, t1[-n1 / 2]); fp2_mul(r, r, s); } } fp2_copy(e, r); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp2_free(r); fp2_free(s); for (i = 0; i < (1 << (FP_WIDTH - 2)); i++) { fp2_free(t0[i]); fp2_free(t1[i]); } } }
Base
1
void fp48_exp_cyc_sps(fp48_t c, const fp48_t a, const int *b, int len, int sign) { int i, j, k, w = len; fp48_t t, *u = RLC_ALLOCA(fp48_t, w); if (len == 0) { RLC_FREE(u); fp48_set_dig(c, 1); return; } fp48_null(t); RLC_TRY { if (u == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < w; i++) { fp48_null(u[i]); fp48_new(u[i]); } fp48_new(t); fp48_copy(t, a); if (b[0] == 0) { for (j = 0, i = 1; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp48_sqr_pck(t, t); } if (b[i] < 0) { fp48_inv_cyc(u[i - 1], t); } else { fp48_copy(u[i - 1], t); } } fp48_back_cyc_sim(u, u, w - 1); fp48_copy(c, a); for (i = 0; i < w - 1; i++) { fp48_mul(c, c, u[i]); } } else { for (j = 0, i = 0; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp48_sqr_pck(t, t); } if (b[i] < 0) { fp48_inv_cyc(u[i], t); } else { fp48_copy(u[i], t); } } fp48_back_cyc_sim(u, u, w); fp48_copy(c, u[0]); for (i = 1; i < w; i++) { fp48_mul(c, c, u[i]); } } if (sign == RLC_NEG) { fp48_inv_cyc(c, c); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < w; i++) { fp48_free(u[i]); } fp48_free(t); RLC_FREE(u); } }
Base
1
void fp54_exp_cyc_sps(fp54_t c, const fp54_t a, const int *b, int len, int sign) { int i, j, k, w = len; fp54_t t, *u = RLC_ALLOCA(fp54_t, w); if (len == 0) { RLC_FREE(u); fp54_set_dig(c, 1); return; } fp54_null(t); RLC_TRY { if (u == NULL) { RLC_THROW(ERR_NO_MEMORY); } for (i = 0; i < w; i++) { fp54_null(u[i]); fp54_new(u[i]); } fp54_new(t); fp54_copy(t, a); if (b[0] == 0) { for (j = 0, i = 1; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp54_sqr_pck(t, t); } if (b[i] < 0) { fp54_inv_cyc(u[i - 1], t); } else { fp54_copy(u[i - 1], t); } } fp54_back_cyc_sim(u, u, w - 1); fp54_copy(c, a); for (i = 0; i < w - 1; i++) { fp54_mul(c, c, u[i]); } } else { for (j = 0, i = 0; i < len; i++) { k = (b[i] < 0 ? -b[i] : b[i]); for (; j < k; j++) { fp54_sqr_pck(t, t); } if (b[i] < 0) { fp54_inv_cyc(u[i], t); } else { fp54_copy(u[i], t); } } fp54_back_cyc_sim(u, u, w); fp54_copy(c, u[0]); for (i = 1; i < w; i++) { fp54_mul(c, c, u[i]); } } if (sign == RLC_NEG) { fp54_inv_cyc(c, c); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { for (i = 0; i < w; i++) { fp54_free(u[i]); } fp54_free(t); RLC_FREE(u); } }
Base
1
void fp12_exp_dig(fp12_t c, const fp12_t a, dig_t b) { bn_t _b; fp12_t t, v; int8_t u, naf[RLC_DIG + 1]; int l; if (b == 0) { fp12_set_dig(c, 1); return; } bn_null(_b); fp12_null(t); fp12_null(v); RLC_TRY { bn_new(_b); fp12_new(t); fp12_new(v); fp12_copy(t, a); if (fp12_test_cyc(a)) { fp12_inv_cyc(v, a); bn_set_dig(_b, b); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _b, 2); for (int i = bn_bits(_b) - 2; i >= 0; i--) { fp12_sqr_cyc(t, t); u = naf[i]; if (u > 0) { fp12_mul(t, t, a); } else if (u < 0) { fp12_mul(t, t, v); } } } else { for (int i = util_bits_dig(b) - 2; i >= 0; i--) { fp12_sqr(t, t); if (b & ((dig_t)1 << i)) { fp12_mul(t, t, a); } } } fp12_copy(c, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(_b); fp12_free(t); fp12_free(v); } }
Base
1
void fp24_exp_dig(fp24_t c, const fp24_t a, dig_t b) { bn_t _b; fp24_t t, v; int8_t u, naf[RLC_DIG + 1]; int l; if (b == 0) { fp24_set_dig(c, 1); return; } bn_null(_b); fp24_null(t); fp24_null(v); RLC_TRY { bn_new(_b); fp24_new(t); fp24_new(v); fp24_copy(t, a); if (fp24_test_cyc(a)) { fp24_inv_cyc(v, a); bn_set_dig(_b, b); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _b, 2); for (int i = bn_bits(_b) - 2; i >= 0; i--) { fp24_sqr_cyc(t, t); u = naf[i]; if (u > 0) { fp24_mul(t, t, a); } else if (u < 0) { fp24_mul(t, t, v); } } } else { for (int i = util_bits_dig(b) - 2; i >= 0; i--) { fp24_sqr(t, t); if (b & ((dig_t)1 << i)) { fp24_mul(t, t, a); } } } fp24_copy(c, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(_b); fp24_free(t); fp24_free(v); } }
Base
1
void fp48_exp_dig(fp48_t c, const fp48_t a, dig_t b) { bn_t _b; fp48_t t, v; int8_t u, naf[RLC_DIG + 1]; int l; if (b == 0) { fp48_set_dig(c, 1); return; } bn_null(_b); fp48_null(t); fp48_null(v); RLC_TRY { bn_new(_b); fp48_new(t); fp48_new(v); fp48_copy(t, a); if (fp48_test_cyc(a)) { fp48_inv_cyc(v, a); bn_set_dig(_b, b); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _b, 2); for (int i = bn_bits(_b) - 2; i >= 0; i--) { fp48_sqr_cyc(t, t); u = naf[i]; if (u > 0) { fp48_mul(t, t, a); } else if (u < 0) { fp48_mul(t, t, v); } } } else { for (int i = util_bits_dig(b) - 2; i >= 0; i--) { fp48_sqr(t, t); if (b & ((dig_t)1 << i)) { fp48_mul(t, t, a); } } } fp48_copy(c, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(_b); fp48_free(t); fp48_free(v); } }
Base
1
void fp54_exp_dig(fp54_t c, const fp54_t a, dig_t b) { bn_t _b; fp54_t t, v; int8_t u, naf[RLC_DIG + 1]; int l; if (b == 0) { fp54_set_dig(c, 1); return; } bn_null(_b); fp54_null(t); fp54_null(v); RLC_TRY { bn_new(_b); fp54_new(t); fp54_new(v); fp54_copy(t, a); if (fp54_test_cyc(a)) { fp54_inv_cyc(v, a); bn_set_dig(_b, b); l = RLC_DIG + 1; bn_rec_naf(naf, &l, _b, 2); for (int i = bn_bits(_b) - 2; i >= 0; i--) { fp54_sqr_cyc(t, t); u = naf[i]; if (u > 0) { fp54_mul(t, t, a); } else if (u < 0) { fp54_mul(t, t, v); } } } else { for (int i = util_bits_dig(b) - 2; i >= 0; i--) { fp54_sqr(t, t); if (b & ((dig_t)1 << i)) { fp54_mul(t, t, a); } } } fp54_copy(c, t); } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { bn_free(_b); fp54_free(t); fp54_free(v); } }
Base
1
void fp4_read_bin(fp4_t a, const uint8_t *bin, int len) { if (len != 4 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp2_read_bin(a[0], bin, 2 * RLC_FP_BYTES); fp2_read_bin(a[1], bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); }
Base
1
void fp6_read_bin(fp6_t a, const uint8_t *bin, int len) { if (len != 6 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp2_read_bin(a[0], bin, 2 * RLC_FP_BYTES); fp2_read_bin(a[1], bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); fp2_read_bin(a[2], bin + 4 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); }
Base
1
void fp2_read_bin(fp2_t a, const uint8_t *bin, int len) { if (len != RLC_FP_BYTES + 1 && len != 2 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } if (len == RLC_FP_BYTES + 1) { fp_read_bin(a[0], bin, RLC_FP_BYTES); fp_zero(a[1]); fp_set_bit(a[1], 0, bin[RLC_FP_BYTES]); fp2_upk(a, a); } if (len == 2 * RLC_FP_BYTES) { fp_read_bin(a[0], bin, RLC_FP_BYTES); fp_read_bin(a[1], bin + RLC_FP_BYTES, RLC_FP_BYTES); } }
Base
1
void fp48_write_bin(uint8_t *bin, int len, const fp48_t a, int pack) { fp48_t t; fp48_null(t); RLC_TRY { fp48_new(t); if (pack) { if (len != 32 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp48_pck(t, a); fp8_write_bin(bin, 8 * RLC_FP_BYTES, a[0][1]); fp8_write_bin(bin + 8 * RLC_FP_BYTES, 8 * RLC_FP_BYTES, a[0][2]); fp8_write_bin(bin + 16 * RLC_FP_BYTES, 8 * RLC_FP_BYTES, a[1][0]); fp8_write_bin(bin + 24 * RLC_FP_BYTES, 8 * RLC_FP_BYTES, a[1][2]); } else { if (len != 48 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp24_write_bin(bin, 24 * RLC_FP_BYTES, a[0], 0); fp24_write_bin(bin + 24 * RLC_FP_BYTES, 24 * RLC_FP_BYTES, a[1], 0); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp48_free(t); } }
Base
1
void fp8_write_bin(uint8_t *bin, int len, const fp8_t a) { if (len != 8 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp4_write_bin(bin, 4 * RLC_FP_BYTES, a[0]); fp4_write_bin(bin + 4 * RLC_FP_BYTES, 4 * RLC_FP_BYTES, a[1]); }
Base
1
void fp12_write_bin(uint8_t *bin, int len, const fp12_t a, int pack) { fp12_t t; fp12_null(t); RLC_TRY { fp12_new(t); if (pack) { if (len != 8 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp12_pck(t, a); fp2_write_bin(bin, 2 * RLC_FP_BYTES, a[0][1], 0); fp2_write_bin(bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[0][2], 0); fp2_write_bin(bin + 4 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[1][0], 0); fp2_write_bin(bin + 6 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[1][2], 0); } else { if (len != 12 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp6_write_bin(bin, 6 * RLC_FP_BYTES, a[0]); fp6_write_bin(bin + 6 * RLC_FP_BYTES, 6 * RLC_FP_BYTES, a[1]); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp12_free(t); } }
Base
1
void fp24_write_bin(uint8_t *bin, int len, const fp24_t a, int pack) { fp24_t t; fp24_null(t); RLC_TRY { fp24_new(t); if (pack) { if (len != 16 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp24_pck(t, a); fp4_write_bin(bin, 4 * RLC_FP_BYTES, a[1][0]); fp4_write_bin(bin + 4 * RLC_FP_BYTES, 4 * RLC_FP_BYTES, a[1][1]); fp4_write_bin(bin + 8 * RLC_FP_BYTES, 4 * RLC_FP_BYTES, a[2][0]); fp4_write_bin(bin + 12 * RLC_FP_BYTES, 4 * RLC_FP_BYTES, a[2][1]); } else { if (len != 24 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); } fp8_write_bin(bin, 8 * RLC_FP_BYTES, a[0]); fp8_write_bin(bin + 8 * RLC_FP_BYTES, 8 * RLC_FP_BYTES, a[1]); fp8_write_bin(bin + 16 * RLC_FP_BYTES, 8 * RLC_FP_BYTES, a[2]); } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp24_free(t); } }
Base
1
void fp12_read_bin(fp12_t a, const uint8_t *bin, int len) { if (len != 8 * RLC_FP_BYTES && len != 12 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } if (len == 8 * RLC_FP_BYTES) { fp2_zero(a[0][0]); fp2_read_bin(a[0][1], bin, 2 * RLC_FP_BYTES); fp2_read_bin(a[0][2], bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); fp2_read_bin(a[1][0], bin + 4 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); fp2_zero(a[1][1]); fp2_read_bin(a[1][2], bin + 6 * RLC_FP_BYTES, 2 * RLC_FP_BYTES); fp12_back_cyc(a, a); } if (len == 12 * RLC_FP_BYTES) { fp6_read_bin(a[0], bin, 6 * RLC_FP_BYTES); fp6_read_bin(a[1], bin + 6 * RLC_FP_BYTES, 6 * RLC_FP_BYTES); } }
Base
1
void fp2_write_bin(uint8_t *bin, int len, const fp2_t a, int pack) { fp2_t t; fp2_null(t); RLC_TRY { fp2_new(t); if (pack && fp2_test_cyc(a)) { if (len < RLC_FP_BYTES + 1) { RLC_THROW(ERR_NO_BUFFER); return; } else { fp2_pck(t, a); fp_write_bin(bin, RLC_FP_BYTES, t[0]); bin[RLC_FP_BYTES] = fp_get_bit(t[1], 0); } } else { if (len < 2 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } else { fp_write_bin(bin, RLC_FP_BYTES, a[0]); fp_write_bin(bin + RLC_FP_BYTES, RLC_FP_BYTES, a[1]); } } } RLC_CATCH_ANY { RLC_THROW(ERR_CAUGHT); } RLC_FINALLY { fp2_free(t); } }
Base
1
void fp9_read_bin(fp9_t a, const uint8_t *bin, int len) { if (len != 9 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp3_read_bin(a[0], bin, 3 * RLC_FP_BYTES); fp3_read_bin(a[1], bin + 3 * RLC_FP_BYTES, 3 * RLC_FP_BYTES); fp3_read_bin(a[2], bin + 6 * RLC_FP_BYTES, 3 * RLC_FP_BYTES); }
Base
1
void fp4_write_bin(uint8_t *bin, int len, const fp4_t a) { if (len != 4 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp2_write_bin(bin, 2 * RLC_FP_BYTES, a[0], 0); fp2_write_bin(bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[1], 0); }
Base
1
void fp9_write_bin(uint8_t *bin, int len, const fp9_t a) { if (len != 9 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp3_write_bin(bin, 3 * RLC_FP_BYTES, a[0]); fp3_write_bin(bin + 3 * RLC_FP_BYTES, 3 * RLC_FP_BYTES, a[1]); fp3_write_bin(bin + 6 * RLC_FP_BYTES, 3 * RLC_FP_BYTES, a[2]); }
Base
1
void fp18_write_bin(uint8_t *bin, int len, const fp18_t a) { if (len != 18 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp9_write_bin(bin, 9 * RLC_FP_BYTES, a[0]); fp9_write_bin(bin + 9 * RLC_FP_BYTES, 9 * RLC_FP_BYTES, a[1]); }
Base
1
void fp24_read_bin(fp24_t a, const uint8_t *bin, int len) { if (len != 16 * RLC_FP_BYTES && len != 24 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } if (len == 16 * RLC_FP_BYTES) { fp4_zero(a[0][0]); fp4_zero(a[0][1]); fp4_read_bin(a[1][0], bin, 4 * RLC_FP_BYTES); fp4_read_bin(a[1][1], bin + 4 * RLC_FP_BYTES, 4 * RLC_FP_BYTES); fp4_read_bin(a[2][0], bin + 8 * RLC_FP_BYTES, 4 * RLC_FP_BYTES); fp4_read_bin(a[2][1], bin + 12 * RLC_FP_BYTES, 4 * RLC_FP_BYTES); fp24_back_cyc(a, a); } if (len == 24 * RLC_FP_BYTES) { fp8_read_bin(a[0], bin, 8 * RLC_FP_BYTES); fp8_read_bin(a[1], bin + 8 * RLC_FP_BYTES, 8 * RLC_FP_BYTES); fp8_read_bin(a[2], bin + 16 * RLC_FP_BYTES, 8 * RLC_FP_BYTES); } }
Base
1
void fp6_write_bin(uint8_t *bin, int len, const fp6_t a) { if (len != 6 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } fp2_write_bin(bin, 2 * RLC_FP_BYTES, a[0], 0); fp2_write_bin(bin + 2 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[1], 0); fp2_write_bin(bin + 4 * RLC_FP_BYTES, 2 * RLC_FP_BYTES, a[2], 0); }
Base
1
void fp54_read_bin(fp54_t a, const uint8_t *bin, int len) { if (len != 36 * RLC_FP_BYTES && len != 54 * RLC_FP_BYTES) { RLC_THROW(ERR_NO_BUFFER); return; } if (len == 36 * RLC_FP_BYTES) { fp9_zero(a[0][0]); fp9_zero(a[0][1]); fp9_read_bin(a[1][0], bin, 9 * RLC_FP_BYTES); fp9_read_bin(a[1][1], bin + 9 * RLC_FP_BYTES, 9 * RLC_FP_BYTES); fp9_read_bin(a[2][0], bin + 18 * RLC_FP_BYTES, 9 * RLC_FP_BYTES); fp9_read_bin(a[2][1], bin + 27 * RLC_FP_BYTES, 9 * RLC_FP_BYTES); fp54_back_cyc(a, a); } if (len == 54 * RLC_FP_BYTES) { fp18_read_bin(a[0], bin, 18 * RLC_FP_BYTES); fp18_read_bin(a[1], bin + 18 * RLC_FP_BYTES, 18 * RLC_FP_BYTES); fp18_read_bin(a[2], bin + 36 * RLC_FP_BYTES, 18 * RLC_FP_BYTES); } }
Base
1