Delete bundled copy of OpenSSL and replace with README.

openssl/crypto/bn/bntest.c

Index: openssl/crypto/bn/bntest.c
diff --git a/openssl/crypto/bn/bntest.c b/openssl/crypto/bn/bntest.c
deleted file mode 100644
index 06f5954acc39083ea56981b6ccb8730d64ff5026..0000000000000000000000000000000000000000
--- a/openssl/crypto/bn/bntest.c
+++ /dev/null
@@ -1,2013 +0,0 @@
-/* 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);
-#ifndef OPENSSL_NO_EC2M
-	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);
-#endif
-	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,BN_HEX_FMT1,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();
-	if (mont == NULL)
-		return 0;
-
-	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) <= 0)
-			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);
-	}
-#ifndef OPENSSL_NO_EC2M
-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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	int p0[] = {163,7,6,3,0,-1};
-	int p1[] = {193,15,0,-1};
-
-	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;
-	}
-#endif
-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]);
-	}