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-rw-r--r--openssl/crypto/bn/bntest.c2011
1 files changed, 2011 insertions, 0 deletions
diff --git a/openssl/crypto/bn/bntest.c b/openssl/crypto/bn/bntest.c
new file mode 100644
index 000000000..cf190380f
--- /dev/null
+++ b/openssl/crypto/bn/bntest.c
@@ -0,0 +1,2011 @@
+/* crypto/bn/bntest.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the Eric Young open source
+ * license provided above.
+ *
+ * The binary polynomial arithmetic software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+/* Until the key-gen callbacks are modified to use newer prototypes, we allow
+ * deprecated functions for openssl-internal code */
+#ifdef OPENSSL_NO_DEPRECATED
+#undef OPENSSL_NO_DEPRECATED
+#endif
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "e_os.h"
+
+#include <openssl/bio.h>
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+#include <openssl/x509.h>
+#include <openssl/err.h>
+
+const int num0 = 100; /* number of tests */
+const int num1 = 50; /* additional tests for some functions */
+const int num2 = 5; /* number of tests for slow functions */
+
+int test_add(BIO *bp);
+int test_sub(BIO *bp);
+int test_lshift1(BIO *bp);
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
+int test_rshift1(BIO *bp);
+int test_rshift(BIO *bp,BN_CTX *ctx);
+int test_div(BIO *bp,BN_CTX *ctx);
+int test_div_word(BIO *bp);
+int test_div_recp(BIO *bp,BN_CTX *ctx);
+int test_mul(BIO *bp);
+int test_sqr(BIO *bp,BN_CTX *ctx);
+int test_mont(BIO *bp,BN_CTX *ctx);
+int test_mod(BIO *bp,BN_CTX *ctx);
+int test_mod_mul(BIO *bp,BN_CTX *ctx);
+int test_mod_exp(BIO *bp,BN_CTX *ctx);
+int test_mod_exp_mont_consttime(BIO *bp,BN_CTX *ctx);
+int test_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_add(BIO *bp);
+int test_gf2m_mod(BIO *bp);
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx);
+int test_kron(BIO *bp,BN_CTX *ctx);
+int test_sqrt(BIO *bp,BN_CTX *ctx);
+int rand_neg(void);
+static int results=0;
+
+static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
+"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+static void message(BIO *out, char *m)
+ {
+ fprintf(stderr, "test %s\n", m);
+ BIO_puts(out, "print \"test ");
+ BIO_puts(out, m);
+ BIO_puts(out, "\\n\"\n");
+ }
+
+int main(int argc, char *argv[])
+ {
+ BN_CTX *ctx;
+ BIO *out;
+ char *outfile=NULL;
+
+ results = 0;
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
+
+ argc--;
+ argv++;
+ while (argc >= 1)
+ {
+ if (strcmp(*argv,"-results") == 0)
+ results=1;
+ else if (strcmp(*argv,"-out") == 0)
+ {
+ if (--argc < 1) break;
+ outfile= *(++argv);
+ }
+ argc--;
+ argv++;
+ }
+
+
+ ctx=BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+
+ out=BIO_new(BIO_s_file());
+ if (out == NULL) EXIT(1);
+ if (outfile == NULL)
+ {
+ BIO_set_fp(out,stdout,BIO_NOCLOSE);
+ }
+ else
+ {
+ if (!BIO_write_filename(out,outfile))
+ {
+ perror(outfile);
+ EXIT(1);
+ }
+ }
+
+ if (!results)
+ BIO_puts(out,"obase=16\nibase=16\n");
+
+ message(out,"BN_add");
+ if (!test_add(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_sub");
+ if (!test_sub(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift1");
+ if (!test_lshift1(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift (fixed)");
+ if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift");
+ if (!test_lshift(out,ctx,NULL)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_rshift1");
+ if (!test_rshift1(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_rshift");
+ if (!test_rshift(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_sqr");
+ if (!test_sqr(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mul");
+ if (!test_mul(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div");
+ if (!test_div(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div_word");
+ if (!test_div_word(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div_recp");
+ if (!test_div_recp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod");
+ if (!test_mod(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_mul");
+ if (!test_mod_mul(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mont");
+ if (!test_mont(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_exp");
+ if (!test_mod_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_exp_mont_consttime");
+ if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_exp");
+ if (!test_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_kronecker");
+ if (!test_kron(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_sqrt");
+ if (!test_sqrt(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_add");
+ if (!test_gf2m_add(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod");
+ if (!test_gf2m_mod(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_mul");
+ if (!test_gf2m_mod_mul(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqr");
+ if (!test_gf2m_mod_sqr(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_inv");
+ if (!test_gf2m_mod_inv(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_div");
+ if (!test_gf2m_mod_div(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_exp");
+ if (!test_gf2m_mod_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqrt");
+ if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_solve_quad");
+ if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ BN_CTX_free(ctx);
+ BIO_free(out);
+
+/**/
+ EXIT(0);
+err:
+ BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
+ * the failure, see test_bn in test/Makefile.ssl*/
+ (void)BIO_flush(out);
+ ERR_load_crypto_strings();
+ ERR_print_errors_fp(stderr);
+ EXIT(1);
+ return(1);
+ }
+
+int test_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ BN_bntest_rand(&a,512,0,0);
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(&b,450+i,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_add(&c,&a,&b);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," + ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ a.neg=!a.neg;
+ b.neg=!b.neg;
+ BN_add(&c,&c,&b);
+ BN_add(&c,&c,&a);
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"Add test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return(1);
+ }
+
+int test_sub(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,512,0,0);
+ BN_copy(&b,&a);
+ if (BN_set_bit(&a,i)==0) return(0);
+ BN_add_word(&b,i);
+ }
+ else
+ {
+ BN_bntest_rand(&b,400+i-num1,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ }
+ BN_sub(&c,&a,&b);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," - ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_add(&c,&c,&b);
+ BN_sub(&c,&c,&a);
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"Subtract test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return(1);
+ }
+
+int test_div(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,e;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,400,0,0);
+ BN_copy(&b,&a);
+ BN_lshift(&a,&a,i);
+ BN_add_word(&a,i);
+ }
+ else
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_div(&d,&c,&a,&b,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&d);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(&e,&d,&b,ctx);
+ BN_add(&d,&e,&c);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Division test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ return(1);
+ }
+
+static void print_word(BIO *bp,BN_ULONG w)
+ {
+#ifdef SIXTY_FOUR_BIT
+ if (sizeof(w) > sizeof(unsigned long))
+ {
+ unsigned long h=(unsigned long)(w>>32),
+ l=(unsigned long)(w);
+
+ if (h) BIO_printf(bp,"%lX%08lX",h,l);
+ else BIO_printf(bp,"%lX",l);
+ return;
+ }
+#endif
+ BIO_printf(bp,"%lX",w);
+ }
+
+int test_div_word(BIO *bp)
+ {
+ BIGNUM a,b;
+ BN_ULONG r,s;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+
+ for (i=0; i<num0; i++)
+ {
+ do {
+ BN_bntest_rand(&a,512,-1,0);
+ BN_bntest_rand(&b,BN_BITS2,-1,0);
+ s = b.d[0];
+ } while (!s);
+
+ BN_copy(&b, &a);
+ r = BN_div_word(&b, s);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&b);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ print_word(bp,r);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul_word(&b,s);
+ BN_add_word(&b,r);
+ BN_sub(&b,&a,&b);
+ if(!BN_is_zero(&b))
+ {
+ fprintf(stderr,"Division (word) test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ return(1);
+ }
+
+int test_div_recp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,e;
+ BN_RECP_CTX recp;
+ int i;
+
+ BN_RECP_CTX_init(&recp);
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,400,0,0);
+ BN_copy(&b,&a);
+ BN_lshift(&a,&a,i);
+ BN_add_word(&a,i);
+ }
+ else
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_RECP_CTX_set(&recp,&b,ctx);
+ BN_div_recp(&d,&c,&a,&recp,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&d);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(&e,&d,&b,ctx);
+ BN_add(&d,&e,&c);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Reciprocal division test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,&a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,&b);
+ fprintf(stderr,"\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ BN_RECP_CTX_free(&recp);
+ return(1);
+ }
+
+int test_mul(BIO *bp)
+ {
+ BIGNUM a,b,c,d,e;
+ int i;
+ BN_CTX *ctx;
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i <= num1)
+ {
+ BN_bntest_rand(&a,100,0,0);
+ BN_bntest_rand(&b,100,0,0);
+ }
+ else
+ BN_bntest_rand(&b,i-num1,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_mul(&c,&a,&b,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(&d,&e,&c,&a,ctx);
+ BN_sub(&d,&d,&b);
+ if(!BN_is_zero(&d) || !BN_is_zero(&e))
+ {
+ fprintf(stderr,"Multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ BN_CTX_free(ctx);
+ return(1);
+ }
+
+int test_sqr(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,c,d,e;
+ int i;
+
+ BN_init(&a);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(&a,40+i*10,0,0);
+ a.neg=rand_neg();
+ BN_sqr(&c,&a,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(&d,&e,&c,&a,ctx);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d) || !BN_is_zero(&e))
+ {
+ fprintf(stderr,"Square test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ return(1);
+ }
+
+int test_mont(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,A,B;
+ BIGNUM n;
+ int i;
+ BN_MONT_CTX *mont;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&A);
+ BN_init(&B);
+ BN_init(&n);
+
+ mont=BN_MONT_CTX_new();
+
+ BN_bntest_rand(&a,100,0,0); /**/
+ BN_bntest_rand(&b,100,0,0); /**/
+ for (i=0; i<num2; i++)
+ {
+ int bits = (200*(i+1))/num2;
+
+ if (bits == 0)
+ continue;
+ BN_bntest_rand(&n,bits,0,1);
+ BN_MONT_CTX_set(mont,&n,ctx);
+
+ BN_nnmod(&a,&a,&n,ctx);
+ BN_nnmod(&b,&b,&n,ctx);
+
+ BN_to_montgomery(&A,&a,mont,ctx);
+ BN_to_montgomery(&B,&b,mont,ctx);
+
+ BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
+ BN_from_montgomery(&A,&c,mont,ctx);/**/
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+#ifdef undef
+fprintf(stderr,"%d * %d %% %d\n",
+BN_num_bits(&a),
+BN_num_bits(&b),
+BN_num_bits(mont->N));
+#endif
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&b);
+ BIO_puts(bp," % ");
+ BN_print(bp,&(mont->N));
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&A);
+ BIO_puts(bp,"\n");
+ }
+ BN_mod_mul(&d,&a,&b,&n,ctx);
+ BN_sub(&d,&d,&A);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Montgomery multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_MONT_CTX_free(mont);
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&A);
+ BN_free(&B);
+ BN_free(&n);
+ return(1);
+ }
+
+int test_mod(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(a,1024,0,0); /**/
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(b,450+i*10,0,0); /**/
+ a->neg=rand_neg();
+ b->neg=rand_neg();
+ BN_mod(c,a,b,ctx);/**/
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," % ");
+ BN_print(bp,b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(d,e,a,b,ctx);
+ BN_sub(e,e,c);
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"Modulo test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_mul(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i,j;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ for (j=0; j<3; j++) {
+ BN_bntest_rand(c,1024,0,0); /**/
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a,475+i*10,0,0); /**/
+ BN_bntest_rand(b,425+i*11,0,0); /**/
+ a->neg=rand_neg();
+ b->neg=rand_neg();
+ if (!BN_mod_mul(e,a,b,c,ctx))
+ {
+ unsigned long l;
+
+ while ((l=ERR_get_error()))
+ fprintf(stderr,"ERROR:%s\n",
+ ERR_error_string(l,NULL));
+ EXIT(1);
+ }
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ if ((a->neg ^ b->neg) && !BN_is_zero(e))
+ {
+ /* If (a*b) % c is negative, c must be added
+ * in order to obtain the normalized remainder
+ * (new with OpenSSL 0.9.7, previous versions of
+ * BN_mod_mul could generate negative results)
+ */
+ BIO_puts(bp," + ");
+ BN_print(bp,c);
+ }
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,e);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d,a,b,ctx);
+ BN_sub(d,d,e);
+ BN_div(a,b,d,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo multiply test failed!\n");
+ ERR_print_errors_fp(stderr);
+ return 0;
+ }
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_exp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_mod_exp(d,a,b,c,ctx))
+ return(0);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_exp(e,a,b,ctx);
+ BN_sub(e,e,d);
+ BN_div(a,b,e,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_mod_exp_mont_consttime(d,a,b,c,ctx,NULL))
+ return(00);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_exp(e,a,b,ctx);
+ BN_sub(e,e,d);
+ BN_div(a,b,e,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_exp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*d,*e,*one;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ d=BN_new();
+ e=BN_new();
+ one=BN_new();
+ BN_one(one);
+
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_exp(d,a,b,ctx))
+ return(0);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_one(e);
+ for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
+ BN_mul(e,e,a,ctx);
+ BN_sub(e,e,d);
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"Exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(d);
+ BN_free(e);
+ BN_free(one);
+ return(1);
+ }
+
+int test_gf2m_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i, ret = 0;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_rand(&a,512,0,0);
+ BN_copy(&b, BN_value_one());
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_GF2m_add(&c,&a,&b);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,&b);
+ BIO_puts(bp," = ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+#endif
+ /* Test that two added values have the correct parity. */
+ if((BN_is_odd(&a) && BN_is_odd(&c)) || (!BN_is_odd(&a) && !BN_is_odd(&c)))
+ {
+ fprintf(stderr,"GF(2^m) addition test (a) failed!\n");
+ goto err;
+ }
+ BN_GF2m_add(&c,&c,&c);
+ /* Test that c + c = 0. */
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"GF(2^m) addition test (b) failed!\n");
+ goto err;
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return ret;
+ }
+
+int test_gf2m_mod(BIO *bp)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, a, c);
+ BN_GF2m_mod(e, d, b[j]);
+ /* Test that a + (a mod p) mod p == 0. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modulo test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+ g=BN_new();
+ h=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ BN_bntest_rand(c, 1024, 0, 0);
+ BN_bntest_rand(d, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_mul(e, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,c);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,e);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, a, d);
+ BN_GF2m_mod_mul(g, f, c, b[j], ctx);
+ BN_GF2m_mod_mul(h, d, c, b[j], ctx);
+ BN_GF2m_add(f, e, g);
+ BN_GF2m_add(f, f, h);
+ /* Test that (a+d)*c = a*c + d*c. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular multiplication test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ BN_free(g);
+ BN_free(h);
+ return ret;
+ }
+
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_sqr(c, a, b[j], ctx);
+ BN_copy(d, a);
+ BN_GF2m_mod_mul(d, a, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ 2 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp,"; a * a = ");
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, c, d);
+ /* Test that a*a = a^2. */
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"GF(2^m) modular squaring test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_inv(c, a, b[j], ctx);
+ BN_GF2m_mod_mul(d, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " * ");
+ BN_print(bp,c);
+ BIO_puts(bp," - 1 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((1/a)*a) = 1. */
+ if(!BN_is_one(d))
+ {
+ fprintf(stderr,"GF(2^m) modular inversion test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_div(d, a, c, b[j], ctx);
+ BN_GF2m_mod_mul(e, d, c, b[j], ctx);
+ BN_GF2m_mod_div(f, a, e, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp," * ");
+ BN_print(bp,d);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((a/c)*c)/a = 1. */
+ if(!BN_is_one(f))
+ {
+ fprintf(stderr,"GF(2^m) modular division test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ BN_bntest_rand(d, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_exp(e, a, c, b[j], ctx);
+ BN_GF2m_mod_exp(f, a, d, b[j], ctx);
+ BN_GF2m_mod_mul(e, e, f, b[j], ctx);
+ BN_add(f, c, d);
+ BN_GF2m_mod_exp(f, a, f, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " ^ (");
+ BN_print(bp,c);
+ BIO_puts(bp," + ");
+ BN_print(bp,d);
+ BIO_puts(bp, ") = ");
+ BN_print(bp,e);
+ BIO_puts(bp, "; - ");
+ BN_print(bp,f);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, e, f);
+ /* Test that a^(c+d)=a^c*a^d. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular exponentiation test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+ BN_GF2m_mod_sqrt(d, a, b[j], ctx);
+ BN_GF2m_mod_sqr(e, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,d);
+ BIO_puts(bp, " ^ 2 - ");
+ BN_print(bp,a);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, c, e);
+ /* Test that d^2 = a, where d = sqrt(a). */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular square root test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, s = 0, t, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
+ if (t)
+ {
+ s++;
+ BN_GF2m_mod_sqr(d, c, b[j], ctx);
+ BN_GF2m_add(d, c, d);
+ BN_GF2m_mod(e, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,c);
+ BIO_puts(bp, " is root of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ BN_GF2m_add(e, e, d);
+ /* Test that solution of quadratic c satisfies c^2 + c = a. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modular solve quadratic test failed!\n");
+ goto err;
+ }
+
+ }
+ else
+ {
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BIO_puts(bp, "There are no roots of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ }
+ }
+ }
+ if (s == 0)
+ {
+ fprintf(stderr,"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n", num0);
+ fprintf(stderr,"this is very unlikely and probably indicates an error.\n");
+ goto err;
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+static int genprime_cb(int p, int n, BN_GENCB *arg)
+ {
+ char c='*';
+
+ if (p == 0) c='.';
+ if (p == 1) c='+';
+ if (p == 2) c='*';
+ if (p == 3) c='\n';
+ putc(c, stderr);
+ fflush(stderr);
+ return 1;
+ }
+
+int test_kron(BIO *bp, BN_CTX *ctx)
+ {
+ BN_GENCB cb;
+ BIGNUM *a,*b,*r,*t;
+ int i;
+ int legendre, kronecker;
+ int ret = 0;
+
+ a = BN_new();
+ b = BN_new();
+ r = BN_new();
+ t = BN_new();
+ if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
+ /* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
+ * In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
+ * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
+ * So we generate a random prime b and compare these values
+ * for a number of random a's. (That is, we run the Solovay-Strassen
+ * primality test to confirm that b is prime, except that we
+ * don't want to test whether b is prime but whether BN_kronecker
+ * works.) */
+
+ if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb)) goto err;
+ b->neg = rand_neg();
+ putc('\n', stderr);
+
+ for (i = 0; i < num0; i++)
+ {
+ if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
+ a->neg = rand_neg();
+
+ /* t := (|b|-1)/2 (note that b is odd) */
+ if (!BN_copy(t, b)) goto err;
+ t->neg = 0;
+ if (!BN_sub_word(t, 1)) goto err;
+ if (!BN_rshift1(t, t)) goto err;
+ /* r := a^t mod b */
+ b->neg=0;
+
+ if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
+ b->neg=1;
+
+ if (BN_is_word(r, 1))
+ legendre = 1;
+ else if (BN_is_zero(r))
+ legendre = 0;
+ else
+ {
+ if (!BN_add_word(r, 1)) goto err;
+ if (0 != BN_ucmp(r, b))
+ {
+ fprintf(stderr, "Legendre symbol computation failed\n");
+ goto err;
+ }
+ legendre = -1;
+ }
+
+ kronecker = BN_kronecker(a, b, ctx);
+ if (kronecker < -1) goto err;
+ /* we actually need BN_kronecker(a, |b|) */
+ if (a->neg && b->neg)
+ kronecker = -kronecker;
+
+ if (legendre != kronecker)
+ {
+ fprintf(stderr, "legendre != kronecker; a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", b = ");
+ BN_print_fp(stderr, b);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ ret = 1;
+ err:
+ if (a != NULL) BN_free(a);
+ if (b != NULL) BN_free(b);
+ if (r != NULL) BN_free(r);
+ if (t != NULL) BN_free(t);
+ return ret;
+ }
+
+int test_sqrt(BIO *bp, BN_CTX *ctx)
+ {
+ BN_GENCB cb;
+ BIGNUM *a,*p,*r;
+ int i, j;
+ int ret = 0;
+
+ a = BN_new();
+ p = BN_new();
+ r = BN_new();
+ if (a == NULL || p == NULL || r == NULL) goto err;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
+ for (i = 0; i < 16; i++)
+ {
+ if (i < 8)
+ {
+ unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
+
+ if (!BN_set_word(p, primes[i])) goto err;
+ }
+ else
+ {
+ if (!BN_set_word(a, 32)) goto err;
+ if (!BN_set_word(r, 2*i + 1)) goto err;
+
+ if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) goto err;
+ putc('\n', stderr);
+ }
+ p->neg = rand_neg();
+
+ for (j = 0; j < num2; j++)
+ {
+ /* construct 'a' such that it is a square modulo p,
+ * but in general not a proper square and not reduced modulo p */
+ if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
+ if (!BN_nnmod(r, r, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+ if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(a, a, p, ctx)) goto err;
+ if (!BN_mul(a, a, r, ctx)) goto err;
+ if (rand_neg())
+ if (!BN_sub(a, a, p)) goto err;
+
+ if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+
+ if (BN_cmp(a, r) != 0)
+ {
+ fprintf(stderr, "BN_mod_sqrt failed: a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", r = ");
+ BN_print_fp(stderr, r);
+ fprintf(stderr, ", p = ");
+ BN_print_fp(stderr, p);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ }
+ ret = 1;
+ err:
+ if (a != NULL) BN_free(a);
+ if (p != NULL) BN_free(p);
+ if (r != NULL) BN_free(r);
+ return ret;
+ }
+
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
+ {
+ BIGNUM *a,*b,*c,*d;
+ int i;
+
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ BN_one(c);
+
+ if(a_)
+ a=a_;
+ else
+ {
+ a=BN_new();
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ }
+ for (i=0; i<num0; i++)
+ {
+ BN_lshift(b,a,i+1);
+ BN_add(c,c,c);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d,a,c,ctx);
+ BN_sub(d,d,b);
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"Left shift test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,b);
+ fprintf(stderr,"\nc=");
+ BN_print_fp(stderr,c);
+ fprintf(stderr,"\nd=");
+ BN_print_fp(stderr,d);
+ fprintf(stderr,"\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ return(1);
+ }
+
+int test_lshift1(BIO *bp)
+ {
+ BIGNUM *a,*b,*c;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_lshift1(b,a);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * 2");
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_add(c,a,a);
+ BN_sub(a,b,c);
+ if(!BN_is_zero(a))
+ {
+ fprintf(stderr,"Left shift one test failed!\n");
+ return 0;
+ }
+
+ BN_copy(a,b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return(1);
+ }
+
+int test_rshift(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ BN_one(c);
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_rshift(b,a,i+1);
+ BN_add(c,c,c);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," / ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(d,e,a,c,ctx);
+ BN_sub(d,d,b);
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"Right shift test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_rshift1(BIO *bp)
+ {
+ BIGNUM *a,*b,*c;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_rshift1(b,a);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," / 2");
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_sub(c,a,b);
+ BN_sub(c,c,b);
+ if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
+ {
+ fprintf(stderr,"Right shift one test failed!\n");
+ return 0;
+ }
+ BN_copy(a,b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return(1);
+ }
+
+int rand_neg(void)
+ {
+ static unsigned int neg=0;
+ static int sign[8]={0,0,0,1,1,0,1,1};
+
+ return(sign[(neg++)%8]);
+ }
generated by cgit v1.2.3 (git 2.25.1) at 2024-06-15 18:37:01 +0000