#include "test.h" #include <stdio.h> #include "scalarmul.h" #include "ec_point.h" #include "field.h" #include "crandom.h" #define STRIDE 7 /* 0 = succeed, 1 = inval, -1 = fail */ static int single_scalarmul_compatibility_test ( const struct field_t *base, const word_t *scalar, int nbits ) { struct tw_extensible_t text, work; struct field_t mont, ct, vl, vt; int ret = 0, i; mask_t succ, succm; succ = deserialize_and_twist_approx(&text, &sqrt_d_minus_1, base); succm = montgomery_ladder(&mont,base,scalar,nbits,1); if (succ != succm) { youfail(); printf(" Deserialize_and_twist_approx succ=%d, montgomery_ladder succ=%d\n", (int)-succ, (int)-succm); printf(" nbits = %d\n", nbits); field_print(" base", base); scalar_print(" scal", scalar, (nbits+WORD_BITS-1)/WORD_BITS); return -1; } if (!succ) { return 1; } #if FIELD_BITS == 448 struct { int n,t,s; } params[] = {{5,5,18},{3,5,30},{4,4,28},{1,2,224}}; #elif FIELD_BITS == 480 struct { int n,t,s; } params[] = {{5,6,16},{6,5,16},{4,5,24},{4,4,30},{1,2,240}}; #else struct { int n,t,s; } params[] = {{5,5,(SCALAR_BITS+24)/25},{1,2,(SCALAR_BITS+1)/2}}; #endif const int nparams = sizeof(params)/sizeof(params[0]); struct fixed_base_table_t fbt; const int nsizes = 6; struct field_t fbout[nparams], wout[nsizes]; memset(&fbt, 0, sizeof(fbt)); memset(&fbout, 0, sizeof(fbout)); memset(&wout, 0, sizeof(wout)); /* compute using combs */ for (i=0; i<nparams; i++) { int n=params[i].n, t=params[i].t, s=params[i].s; succ = precompute_fixed_base(&fbt, &text, n, t, s, NULL); if (!succ) { youfail(); printf(" Failed to precompute_fixed_base(%d,%d,%d)\n", n, t, s); continue; } succ = scalarmul_fixed_base(&work, scalar, nbits, &fbt); destroy_fixed_base(&fbt); if (!succ) { youfail(); printf(" Failed to scalarmul_fixed_base(%d,%d,%d)\n", n, t, s); continue; } untwist_and_double_and_serialize(&fbout[i], &work); } /* compute using precomp wNAF */ for (i=0; i<nsizes; i++) { struct tw_niels_t pre[1<<i]; succ = precompute_fixed_base_wnaf(pre, &text, i); if (!succ) { youfail(); printf(" Failed to precompute_fixed_base_wnaf(%d)\n", i); continue; } scalarmul_fixed_base_wnaf_vt(&work, scalar, nbits, pre, i); untwist_and_double_and_serialize(&wout[i], &work); } mask_t consistent = MASK_SUCCESS; if (nbits == FIELD_BITS) { /* window methods currently only work on FIELD_BITS bits. */ copy_tw_extensible(&work, &text); scalarmul(&work, scalar); untwist_and_double_and_serialize(&ct, &work); copy_tw_extensible(&work, &text); scalarmul_vlook(&work, scalar); untwist_and_double_and_serialize(&vl, &work); copy_tw_extensible(&work, &text); scalarmul_vt(&work, scalar, nbits); untwist_and_double_and_serialize(&vt, &work); /* check consistency mont vs window */ consistent &= field_eq(&mont, &ct); consistent &= field_eq(&mont, &vl); consistent &= field_eq(&mont, &vt); } /* check consistency mont vs combs */ for (i=0; i<nparams; i++) { consistent &= field_eq(&mont,&fbout[i]); } /* check consistency mont vs wNAF */ for (i=0; i<nsizes; i++) { consistent &= field_eq(&mont,&wout[i]); } /* If inconsistent, complain. */ if (!consistent) { youfail(); printf(" Failed scalarmul consistency test with nbits=%d.\n",nbits); field_print(" base", base); scalar_print(" scal", scalar, (nbits+WORD_BITS-1)/WORD_BITS); field_print(" mont", &mont); for (i=0; i<nparams; i++) { printf(" With n=%d, t=%d, s=%d:\n", params[i].n, params[i].t, params[i].s); field_print(" out ", &fbout[i]); } for (i=0; i<nsizes; i++) { printf(" With w=%d:\n",i); field_print(" wNAF", &wout[i]); } if (nbits == FIELD_BITS) { field_print(" ct ", &ct); field_print(" vl ", &vl); field_print(" vt ", &vt); } ret = -1; } return ret; } static int single_linear_combo_test ( const struct field_t *base1, const word_t *scalar1, int nbits1, const struct field_t *base2, const word_t *scalar2, int nbits2 ) { struct tw_extensible_t text1, text2, working; struct tw_pniels_t pn; struct field_t result_comb, result_combo, result_wnaf; mask_t succ = deserialize_and_twist_approx(&text1, &sqrt_d_minus_1, base1) & deserialize_and_twist_approx(&text2, &sqrt_d_minus_1, base2); if (!succ) return 1; struct fixed_base_table_t t1, t2; struct tw_niels_t wnaf[32]; memset(&t1,0,sizeof(t1)); memset(&t2,0,sizeof(t2)); succ = precompute_fixed_base(&t1, &text1, 5, 5, 18, NULL); // FIELD_MAGIC succ &= precompute_fixed_base(&t2, &text2, 6, 3, 25, NULL); // FIELD_MAGIC succ &= precompute_fixed_base_wnaf(wnaf, &text2, 5); if (!succ) { destroy_fixed_base(&t1); destroy_fixed_base(&t2); return -1; } /* use the dedicated wNAF linear combo algorithm */ copy_tw_extensible(&working, &text1); linear_combo_var_fixed_vt(&working, scalar1, nbits1, scalar2, nbits2, wnaf, 5); untwist_and_double_and_serialize(&result_wnaf, &working); /* use the dedicated combs algorithm */ succ &= linear_combo_combs_vt(&working, scalar1, nbits1, &t1, scalar2, nbits2, &t2); untwist_and_double_and_serialize(&result_combo, &working); /* use two combs */ succ &= scalarmul_fixed_base(&working, scalar1, nbits1, &t1); convert_tw_extensible_to_tw_pniels(&pn, &working); succ &= scalarmul_fixed_base(&working, scalar2, nbits2, &t2); add_tw_pniels_to_tw_extensible(&working, &pn); untwist_and_double_and_serialize(&result_comb, &working); mask_t consistent = MASK_SUCCESS; consistent &= field_eq(&result_combo, &result_wnaf); consistent &= field_eq(&result_comb, &result_wnaf); if (!succ || !consistent) { youfail(); printf(" Failed linear combo consistency test with nbits=%d,%d.\n",nbits1,nbits2); field_print(" base1", base1); scalar_print(" scal1", scalar1, (nbits1+WORD_BITS-1)/WORD_BITS); field_print(" base2", base2); scalar_print(" scal2", scalar2, (nbits1+WORD_BITS-1)/WORD_BITS); field_print(" combs", &result_comb); field_print(" combo", &result_combo); field_print(" wNAFs", &result_wnaf); return -1; } destroy_fixed_base(&t1); destroy_fixed_base(&t2); return 0; } /* 0 = succeed, 1 = inval, -1 = fail */ static int single_scalarmul_commutativity_test ( const struct field_t *base, const word_t *scalar1, int nbits1, int ned1, const word_t *scalar2, int nbits2, int ned2 ) { struct field_t m12, m21, tmp1, tmp2; mask_t succ12a = montgomery_ladder(&tmp1,base,scalar1,nbits1,ned1); mask_t succ12b = montgomery_ladder(&m12,&tmp1,scalar2,nbits2,ned2); mask_t succ21a = montgomery_ladder(&tmp2,base,scalar2,nbits2,ned2); mask_t succ21b = montgomery_ladder(&m21,&tmp2,scalar1,nbits1,ned1); mask_t succ12 = succ12a & succ12b, succ21 = succ21a & succ21b; if (succ12 != succ21) { youfail(); printf(" Failed scalarmul commutativity test with (nbits,ned) = (%d,%d), (%d,%d).\n", nbits1,ned1,nbits2,ned2); field_print(" base", base); field_print(" tmp1", &tmp1); field_print(" tmp2", &tmp2); scalar_print(" sca1", scalar1, (nbits1+WORD_BITS-1)/WORD_BITS); scalar_print(" sca2", scalar2, (nbits1+WORD_BITS-1)/WORD_BITS); printf(" good = ((%d,%d),(%d,%d))\n", (int)-succ12a, (int)-succ12b, (int)-succ21a, (int)-succ21b); return -1; } else if (!succ12) { // printf(" (nbits,ned) = (%d,%d), (%d,%d).\n", nbits1,ned1,nbits2,ned2); // printf(" succ = (%d,%d), (%d,%d).\n", (int)-succ12a, (int)-succ12b, (int)-succ21a, (int)-succ21b); return 1; } mask_t consistent = field_eq(&m12,&m21); if (consistent) { return 0; } else { youfail(); printf(" Failed scalarmul commutativity test with (nbits,ned) = (%d,%d), (%d,%d).\n", nbits1,ned1,nbits2,ned2); field_print(" base", base); scalar_print(" sca1", scalar1, (nbits1+WORD_BITS-1)/WORD_BITS); scalar_print(" sca2", scalar2, (nbits1+WORD_BITS-1)/WORD_BITS); field_print(" m12 ", &m12); field_print(" m21 ", &m21); return -1; } } int test_scalarmul_commutativity (void) { int i,j,k,got; struct crandom_state_t crand; crandom_init_from_buffer(&crand, "scalarmul_commutativity_test RNG"); for (i=0; i<=FIELD_BITS; i+=STRIDE) { for (j=0; j<=FIELD_BITS; j+=STRIDE) { got = 0; for (k=0; k<128 && !got; k++) { uint8_t ser[FIELD_BYTES]; word_t scalar1[SCALAR_WORDS], scalar2[SCALAR_WORDS]; crandom_generate(&crand, ser, sizeof(ser)); crandom_generate(&crand, (uint8_t *)scalar1, sizeof(scalar1)); crandom_generate(&crand, (uint8_t *)scalar2, sizeof(scalar2)); field_t base; mask_t succ = field_deserialize(&base, ser); if (!succ) continue; int ret = single_scalarmul_commutativity_test (&base, scalar1, i, i%3, scalar2, j, j%3); got = !ret; if (ret == -1) return -1; } if (!got) { youfail(); printf(" Unlikely: rejected 128 scalars in a row.\n"); return -1; } } } return 0; } int test_linear_combo (void) { int i,j,k,got; struct crandom_state_t crand; crandom_init_from_buffer(&crand, "scalarmul_linear_combos_test RNG"); for (i=0; i<=FIELD_BITS; i+=STRIDE) { for (j=0; j<=FIELD_BITS; j+=STRIDE) { got = 0; for (k=0; k<128 && !got; k++) { uint8_t ser[FIELD_BYTES]; word_t scalar1[SCALAR_WORDS], scalar2[SCALAR_WORDS]; crandom_generate(&crand, (uint8_t *)scalar1, sizeof(scalar1)); crandom_generate(&crand, (uint8_t *)scalar2, sizeof(scalar2)); field_t base1; crandom_generate(&crand, ser, sizeof(ser)); mask_t succ = field_deserialize(&base1, ser); if (!succ) continue; field_t base2; crandom_generate(&crand, ser, sizeof(ser)); succ = field_deserialize(&base2, ser); if (!succ) continue; int ret = single_linear_combo_test (&base1, scalar1, i, &base2, scalar2, j); got = !ret; if (ret == -1) return -1; } if (!got) { youfail(); printf(" Unlikely: rejected 128 scalars in a row.\n"); return -1; } } } return 0; } int test_scalarmul_compatibility (void) { int i,j,k,got; struct crandom_state_t crand; crandom_init_from_buffer(&crand, "scalarmul_compatibility_test RNG"); for (i=0; i<=FIELD_BITS; i+=STRIDE) { for (j=0; j<=20; j++) { got = 0; for (k=0; k<128 && !got; k++) { uint8_t ser[FIELD_BYTES]; word_t scalar[SCALAR_WORDS]; crandom_generate(&crand, ser, sizeof(ser)); crandom_generate(&crand, (uint8_t *)scalar, sizeof(scalar)); field_t base; mask_t succ = field_deserialize(&base, ser); if (!succ) continue; int ret = single_scalarmul_compatibility_test (&base, scalar, i); got = !ret; if (ret == -1) return -1; } if (!got) { youfail(); printf(" Unlikely: rejected 128 scalars in a row.\n"); return -1; } } } return 0; }