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The amount of copy-paste in this test led to a few bugs and it was hard to spot them since things were done in random order. Use a different approach: compute the result of a^b (mod m) according to BN_mod_exp_simple(), then compare the results of all the other *_mod_exp* functions to that. Reuse the test structure from bn_mod_exp_zero.c to loop over the list of functions. This way we test more functions and don't forget to check some crucial bits.
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tb
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Dec 3, 2022
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Original file line number | Diff line number | Diff line change |
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@@ -1,4 +1,4 @@ | ||
/* $OpenBSD: bn_mod_exp.c,v 1.7 2022/12/03 08:21:38 tb Exp $ */ | ||
/* $OpenBSD: bn_mod_exp.c,v 1.8 2022/12/03 09:37:02 tb Exp $ */ | ||
/* Copyright (C) 1995-1998 Eric Young ([email protected]) | ||
* All rights reserved. | ||
* | ||
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@@ -67,14 +67,88 @@ | |
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#define NUM_BITS (BN_BITS*2) | ||
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#define INIT_MOD_EXP_FN(f) { .name = #f, .mod_exp_fn = (f), } | ||
#define INIT_MOD_EXP_MONT_FN(f) { .name = #f, .mod_exp_mont_fn = (f), } | ||
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static const struct mod_exp_test { | ||
const char *name; | ||
int (*mod_exp_fn)(BIGNUM *,const BIGNUM *, const BIGNUM *, | ||
const BIGNUM *, BN_CTX *); | ||
int (*mod_exp_mont_fn)(BIGNUM *,const BIGNUM *, const BIGNUM *, | ||
const BIGNUM *, BN_CTX *, BN_MONT_CTX *); | ||
} mod_exp_fn[] = { | ||
INIT_MOD_EXP_FN(BN_mod_exp), | ||
INIT_MOD_EXP_FN(BN_mod_exp_ct), | ||
INIT_MOD_EXP_FN(BN_mod_exp_nonct), | ||
INIT_MOD_EXP_FN(BN_mod_exp_recp), | ||
INIT_MOD_EXP_MONT_FN(BN_mod_exp_mont), | ||
INIT_MOD_EXP_MONT_FN(BN_mod_exp_mont_ct), | ||
INIT_MOD_EXP_MONT_FN(BN_mod_exp_mont_consttime), | ||
INIT_MOD_EXP_MONT_FN(BN_mod_exp_mont_nonct), | ||
}; | ||
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#define N_MOD_EXP_FN (sizeof(mod_exp_fn) / sizeof(mod_exp_fn[0])) | ||
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static int | ||
test_mod_exp(const BIGNUM *result_simple, const BIGNUM *a, const BIGNUM *b, | ||
const BIGNUM *m, BN_CTX *ctx, const struct mod_exp_test *test) | ||
{ | ||
BIGNUM *result; | ||
int ret = 0; | ||
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BN_CTX_start(ctx); | ||
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if ((result = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
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if (test->mod_exp_fn != NULL) { | ||
if (!test->mod_exp_fn(result, a, b, m, ctx)) { | ||
fprintf(stderr, "%s problems\n", test->name); | ||
ERR_print_errors_fp(stderr); | ||
goto err; | ||
} | ||
} else { | ||
if (!test->mod_exp_mont_fn(result, a, b, m, ctx, NULL)) { | ||
fprintf(stderr, "%s problems\n", test->name); | ||
ERR_print_errors_fp(stderr); | ||
goto err; | ||
} | ||
} | ||
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if (BN_cmp(result_simple, result) != 0) { | ||
printf("\nResults from BN_mod_exp_simple and %s differ\n", | ||
test->name); | ||
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printf("a (%3d) = ", BN_num_bits(a)); | ||
BN_print_fp(stdout, a); | ||
printf("\nb (%3d) = ", BN_num_bits(b)); | ||
BN_print_fp(stdout, b); | ||
printf("\nm (%3d) = ", BN_num_bits(m)); | ||
BN_print_fp(stdout, m); | ||
printf("\nsimple = "); | ||
BN_print_fp(stdout, result_simple); | ||
printf("\nresult = "); | ||
BN_print_fp(stdout, result); | ||
printf("\n"); | ||
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goto err; | ||
} | ||
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ret = 1; | ||
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err: | ||
BN_CTX_end(ctx); | ||
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return ret; | ||
} | ||
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int | ||
main(int argc, char *argv[]) | ||
{ | ||
BIGNUM *r_mont, *r_mont_const, *r_recp, *r_simple; | ||
BIGNUM *r_mont_ct, *r_mont_nonct, *a, *b, *m; | ||
BIGNUM *result_simple, *a, *b, *m; | ||
BN_CTX *ctx; | ||
int c; | ||
int i, ret; | ||
int c, i; | ||
size_t j; | ||
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ERR_load_BN_strings(); | ||
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@@ -83,24 +157,14 @@ main(int argc, char *argv[]) | |
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BN_CTX_start(ctx); | ||
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if ((r_mont = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((r_mont_const = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((r_mont_ct = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((r_mont_nonct = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((r_recp = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((r_simple = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((a = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((b = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((m = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
if ((result_simple = BN_CTX_get(ctx)) == NULL) | ||
goto err; | ||
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for (i = 0; i < 200; i++) { | ||
c = (arc4random() % BN_BITS) - BN_BITS2; | ||
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@@ -120,74 +184,16 @@ main(int argc, char *argv[]) | |
if (!BN_mod(b, b, m, ctx)) | ||
goto err; | ||
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ret = BN_mod_exp_mont(r_mont, a, b, m, ctx, NULL); | ||
if (ret <= 0) { | ||
printf("BN_mod_exp_mont() problems\n"); | ||
goto err; | ||
} | ||
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ret = BN_mod_exp_mont_ct(r_mont_ct, a, b, m, ctx, NULL); | ||
if (ret <= 0) { | ||
printf("BN_mod_exp_mont_ct() problems\n"); | ||
goto err; | ||
} | ||
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ret = BN_mod_exp_mont_nonct(r_mont_nonct, a, b, m, ctx, NULL); | ||
if (ret <= 0) { | ||
printf("BN_mod_exp_mont_nonct() problems\n"); | ||
goto err; | ||
} | ||
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ret = BN_mod_exp_recp(r_recp, a, b, m, ctx); | ||
if (ret <= 0) { | ||
printf("BN_mod_exp_recp() problems\n"); | ||
goto err; | ||
} | ||
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ret = BN_mod_exp_simple(r_simple, a, b, m, ctx); | ||
if (ret <= 0) { | ||
if ((BN_mod_exp_simple(result_simple, a, b, m, ctx)) <= 0) { | ||
printf("BN_mod_exp_simple() problems\n"); | ||
goto err; | ||
} | ||
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ret = BN_mod_exp_mont_consttime(r_mont_const, a, b, m, ctx, NULL); | ||
if (ret <= 0) { | ||
printf("BN_mod_exp_mont_consttime() problems\n"); | ||
goto err; | ||
} | ||
for (j = 0; j < N_MOD_EXP_FN; j++) { | ||
const struct mod_exp_test *test = &mod_exp_fn[j]; | ||
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if (BN_cmp(r_simple, r_mont) != 0 || | ||
BN_cmp(r_simple, r_mont_const) || | ||
BN_cmp(r_simple, r_recp) != 0 || | ||
BN_cmp(r_simple, r_mont_ct) != 0 || | ||
BN_cmp(r_simple, r_mont_nonct) != 0) { | ||
if (BN_cmp(r_simple, r_mont) != 0) | ||
printf("\nsimple and mont results differ\n"); | ||
if (BN_cmp(r_simple, r_mont_const) != 0) | ||
printf("\nsimple and mont const time results differ\n"); | ||
if (BN_cmp(r_simple, r_recp) != 0) | ||
printf("\nsimple and recp results differ\n"); | ||
if (BN_cmp(r_simple, r_mont_ct) != 0) | ||
printf("\nsimple and mont results differ\n"); | ||
if (BN_cmp(r_simple, r_mont_nonct) != 0) | ||
printf("\nsimple and mont_nonct results differ\n"); | ||
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printf("a (%3d) = ", BN_num_bits(a)); | ||
BN_print_fp(stdout, a); | ||
printf("\nb (%3d) = ", BN_num_bits(b)); | ||
BN_print_fp(stdout, b); | ||
printf("\nm (%3d) = ", BN_num_bits(m)); | ||
BN_print_fp(stdout, m); | ||
printf("\nsimple ="); | ||
BN_print_fp(stdout, r_simple); | ||
printf("\nrecp ="); | ||
BN_print_fp(stdout, r_recp); | ||
printf("\nmont ="); | ||
BN_print_fp(stdout, r_mont); | ||
printf("\nmont_ct ="); | ||
BN_print_fp(stdout, r_mont_const); | ||
printf("\n"); | ||
exit(1); | ||
if (!test_mod_exp(result_simple, a, b, m, ctx, test)) | ||
goto err; | ||
} | ||
} | ||
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