提交 ac445acf 编写于 作者: B Bodo Möller

bn_modfs.c is no longer needed, a BN_sqrt implementation

exists in bn_sqrt.c now
上级 77ac92d0
/*
*
* bn_modfs.c
*
* Some Modular Arithmetic Functions.
*
* Copyright (C) Lenka Fibikova 2000
*
*
*/
#include <stdio.h>
#include <stdlib.h>
#include <assert.h>
#include "bn_modfs.h"
#define MAX_ROUNDS 10
int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
/* x^2 = a (mod p) */
{
int ret;
BIGNUM *n0, *n1, *r, *b, *m;
int max;
assert(x != NULL && a != NULL && p != NULL && ctx != NULL);
assert(BN_cmp(a, p) < 0);
ret = BN_kronecker(a, p, ctx);
if (ret < 0 || ret > 1) return 0;
if (ret == 0)
{
if (!BN_zero(x)) return 0;
return 1;
}
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
if (n1 == NULL) goto err;
if ((r = BN_new()) == NULL) goto err;
if ((b = BN_new()) == NULL) goto err;
if ((m = BN_new()) == NULL) goto err;
if (!BN_zero(n0)) goto err;
if (!BN_zero(n1)) goto err;
if (!BN_zero(r)) goto err;
if (!BN_zero(b)) goto err;
if (!BN_zero(m)) goto err;
max = 0;
do
{
if (max++ > MAX_ROUNDS) goto err; /* if p is not prime could never stop*/
if (!BN_add_word(m, 1)) goto err;
ret = BN_kronecker(m, p, ctx);
if (ret < -1 || ret > 1) goto err;
}
while (ret != -1);
if (BN_copy(n1, p) == NULL) goto err;
if (!BN_sub_word(n1, 1)) goto err;
while (!BN_is_odd(n1))
{
if (!BN_add_word(r, 1)) goto err;
if (!BN_rshift1(n1, n1)) goto err;
}
if (!BN_mod_exp_simple(n0, m, n1, p, ctx)) goto err;
if (!BN_sub_word(n1, 1)) goto err;
if (!BN_rshift1(n1, n1)) goto err;
if (!BN_mod_exp_simple(x, a, n1, p, ctx)) goto err;
if (!BN_mod_sqr(b, x, p, ctx)) goto err;
if (!BN_mod_mul(b, b, a, p, ctx)) goto err;
if (!BN_mod_mul(x, x, a, p, ctx)) goto err;
while (!BN_is_one(b))
{
if (!BN_one(m)) goto err;
if (!BN_mod_sqr(n1, b, p, ctx)) goto err;
while(!BN_is_one(n1))
{
if (!BN_mod_mul(n1, n1, n1, p, ctx)) goto err;
if (!BN_add_word(m, 1)) goto err;
}
if (!BN_sub(r, r, m)) goto err;
if (!BN_sub_word(r, 1)) goto err;
if (r->neg) goto err;
if (BN_copy(n1, n0) == NULL) goto err;
while(!BN_is_zero(r))
{
if (!BN_mod_mul(n1, n1, n1, p, ctx)) goto err;
if (!BN_sub_word(r, 1)) goto err;
}
if (!BN_mod_mul(n0, n1, n1, p, ctx)) goto err;
if (BN_copy(r, m) == NULL) goto err;
if (!BN_mod_mul(x, x, n1, p, ctx)) goto err;
if (!BN_mod_mul(b, b, n0, p, ctx)) goto err;
}
#ifdef TEST
BN_mod_sqr(n0, x, p, ctx);
if (BN_cmp(n0, a)) goto err;
#endif
if (r != NULL) BN_clear_free(r);
if (b != NULL) BN_clear_free(b);
if (m != NULL) BN_clear_free(m);
BN_CTX_end(ctx);
return 1;
err:
if (r != NULL) BN_clear_free(r);
if (b != NULL) BN_clear_free(b);
if (m != NULL) BN_clear_free(m);
BN_CTX_end(ctx);
return 0;
}
/*
*
* bn_modfs.h
*
* Some Modular Arithmetic Functions.
*
* Copyright (C) Lenka Fibikova 2000
*
*
*/
#ifndef HEADER_BN_MODFS_H
#define HEADER_BN_MODFS_H
#include <openssl/bn.h>
int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
#endif
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