Delete bundled copy of OpenSSL and replace with README.

openssl/crypto/bn/bn_gf2m.c

Index: openssl/crypto/bn/bn_gf2m.c
diff --git a/openssl/crypto/bn/bn_gf2m.c b/openssl/crypto/bn/bn_gf2m.c
deleted file mode 100644
index 8a4dc20ad980d9b3bf9849bef739e0cedc3fcb7c..0000000000000000000000000000000000000000
--- a/openssl/crypto/bn/bn_gf2m.c
+++ /dev/null
@@ -1,1113 +0,0 @@
-/* crypto/bn/bn_gf2m.c */
-/* ====================================================================
- * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
- *
- * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
- * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
- * to the OpenSSL project.
- *
- * The ECC Code is licensed pursuant to the OpenSSL open source
- * license provided below.
- *
- * In addition, Sun covenants to all licensees who provide a reciprocal
- * covenant with respect to their own patents if any, not to sue under
- * current and future patent claims necessarily infringed by the making,
- * using, practicing, selling, offering for sale and/or otherwise
- * disposing of the ECC Code as delivered hereunder (or portions thereof),
- * provided that such covenant shall not apply:
- *  1) for code that a licensee deletes from the ECC Code;
- *  2) separates from the ECC Code; or
- *  3) for infringements caused by:
- *       i) the modification of the ECC Code or
- *      ii) the combination of the ECC Code with other software or
- *          devices where such combination causes the infringement.
- *
- * The software is originally written by Sheueling Chang Shantz and
- * Douglas Stebila of Sun Microsystems Laboratories.
- *
- */
-
-/* NOTE: This file is licensed pursuant to the OpenSSL license below
- * and may be modified; but after modifications, the above covenant
- * may no longer apply!  In such cases, the corresponding paragraph
- * ["In addition, Sun covenants ... causes the infringement."] and
- * this note can be edited out; but please keep the Sun copyright
- * notice and attribution. */
-
-/* ====================================================================
- * Copyright (c) 1998-2002 The OpenSSL Project.  All rights reserved.
- *
- * 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 above 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 acknowledgment:
- *    "This product includes software developed by the OpenSSL Project
- *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- *    endorse or promote products derived from this software without
- *    prior written permission. For written permission, please contact
- *    openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- *    nor may "OpenSSL" appear in their names without prior written
- *    permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- *    acknowledgment:
- *    "This product includes software developed by the OpenSSL Project
- *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED 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 OpenSSL PROJECT OR
- * ITS 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.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com).  This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
-
-#include <assert.h>
-#include <limits.h>
-#include <stdio.h>
-#include "cryptlib.h"
-#include "bn_lcl.h"
-
-#ifndef OPENSSL_NO_EC2M
-
-/* Maximum number of iterations before BN_GF2m_mod_solve_quad_arr should fail. */
-#define MAX_ITERATIONS 50
-
-static const BN_ULONG SQR_tb[16] =
-  {     0,     1,     4,     5,    16,    17,    20,    21,
-       64,    65,    68,    69,    80,    81,    84,    85 };
-/* Platform-specific macros to accelerate squaring. */
-#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
-#define SQR1(w) \
-    SQR_tb[(w) >> 60 & 0xF] << 56 | SQR_tb[(w) >> 56 & 0xF] << 48 | \
-    SQR_tb[(w) >> 52 & 0xF] << 40 | SQR_tb[(w) >> 48 & 0xF] << 32 | \
-    SQR_tb[(w) >> 44 & 0xF] << 24 | SQR_tb[(w) >> 40 & 0xF] << 16 | \
-    SQR_tb[(w) >> 36 & 0xF] <<  8 | SQR_tb[(w) >> 32 & 0xF]
-#define SQR0(w) \
-    SQR_tb[(w) >> 28 & 0xF] << 56 | SQR_tb[(w) >> 24 & 0xF] << 48 | \
-    SQR_tb[(w) >> 20 & 0xF] << 40 | SQR_tb[(w) >> 16 & 0xF] << 32 | \
-    SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >>  8 & 0xF] << 16 | \
-    SQR_tb[(w) >>  4 & 0xF] <<  8 | SQR_tb[(w)       & 0xF]
-#endif
-#ifdef THIRTY_TWO_BIT
-#define SQR1(w) \
-    SQR_tb[(w) >> 28 & 0xF] << 24 | SQR_tb[(w) >> 24 & 0xF] << 16 | \
-    SQR_tb[(w) >> 20 & 0xF] <<  8 | SQR_tb[(w) >> 16 & 0xF]
-#define SQR0(w) \
-    SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >>  8 & 0xF] << 16 | \
-    SQR_tb[(w) >>  4 & 0xF] <<  8 | SQR_tb[(w)       & 0xF]
-#endif
-
-#if !defined(OPENSSL_BN_ASM_GF2m)
-/* Product of two polynomials a, b each with degree < BN_BITS2 - 1,
- * result is a polynomial r with degree < 2 * BN_BITS - 1
- * The caller MUST ensure that the variables have the right amount
- * of space allocated.
- */
-#ifdef THIRTY_TWO_BIT
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
-	{
-	register BN_ULONG h, l, s;
-	BN_ULONG tab[8], top2b = a >> 30; 
-	register BN_ULONG a1, a2, a4;
-
-	a1 = a & (0x3FFFFFFF); a2 = a1 << 1; a4 = a2 << 1;
-
-	tab[0] =  0; tab[1] = a1;    tab[2] = a2;    tab[3] = a1^a2;
-	tab[4] = a4; tab[5] = a1^a4; tab[6] = a2^a4; tab[7] = a1^a2^a4;
-
-	s = tab[b       & 0x7]; l  = s;
-	s = tab[b >>  3 & 0x7]; l ^= s <<  3; h  = s >> 29;
-	s = tab[b >>  6 & 0x7]; l ^= s <<  6; h ^= s >> 26;
-	s = tab[b >>  9 & 0x7]; l ^= s <<  9; h ^= s >> 23;
-	s = tab[b >> 12 & 0x7]; l ^= s << 12; h ^= s >> 20;
-	s = tab[b >> 15 & 0x7]; l ^= s << 15; h ^= s >> 17;
-	s = tab[b >> 18 & 0x7]; l ^= s << 18; h ^= s >> 14;
-	s = tab[b >> 21 & 0x7]; l ^= s << 21; h ^= s >> 11;
-	s = tab[b >> 24 & 0x7]; l ^= s << 24; h ^= s >>  8;
-	s = tab[b >> 27 & 0x7]; l ^= s << 27; h ^= s >>  5;
-	s = tab[b >> 30      ]; l ^= s << 30; h ^= s >>  2;
-
-	/* compensate for the top two bits of a */
-
-	if (top2b & 01) { l ^= b << 30; h ^= b >> 2; } 
-	if (top2b & 02) { l ^= b << 31; h ^= b >> 1; } 
-
-	*r1 = h; *r0 = l;
-	} 
-#endif
-#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
-static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
-	{
-	register BN_ULONG h, l, s;
-	BN_ULONG tab[16], top3b = a >> 61;
-	register BN_ULONG a1, a2, a4, a8;
-
-	a1 = a & (0x1FFFFFFFFFFFFFFFULL); a2 = a1 << 1; a4 = a2 << 1; a8 = a4 << 1;
-
-	tab[ 0] = 0;     tab[ 1] = a1;       tab[ 2] = a2;       tab[ 3] = a1^a2;
-	tab[ 4] = a4;    tab[ 5] = a1^a4;    tab[ 6] = a2^a4;    tab[ 7] = a1^a2^a4;
-	tab[ 8] = a8;    tab[ 9] = a1^a8;    tab[10] = a2^a8;    tab[11] = a1^a2^a8;
-	tab[12] = a4^a8; tab[13] = a1^a4^a8; tab[14] = a2^a4^a8; tab[15] = a1^a2^a4^a8;
-
-	s = tab[b       & 0xF]; l  = s;
-	s = tab[b >>  4 & 0xF]; l ^= s <<  4; h  = s >> 60;
-	s = tab[b >>  8 & 0xF]; l ^= s <<  8; h ^= s >> 56;
-	s = tab[b >> 12 & 0xF]; l ^= s << 12; h ^= s >> 52;
-	s = tab[b >> 16 & 0xF]; l ^= s << 16; h ^= s >> 48;
-	s = tab[b >> 20 & 0xF]; l ^= s << 20; h ^= s >> 44;
-	s = tab[b >> 24 & 0xF]; l ^= s << 24; h ^= s >> 40;
-	s = tab[b >> 28 & 0xF]; l ^= s << 28; h ^= s >> 36;
-	s = tab[b >> 32 & 0xF]; l ^= s << 32; h ^= s >> 32;
-	s = tab[b >> 36 & 0xF]; l ^= s << 36; h ^= s >> 28;
-	s = tab[b >> 40 & 0xF]; l ^= s << 40; h ^= s >> 24;
-	s = tab[b >> 44 & 0xF]; l ^= s << 44; h ^= s >> 20;
-	s = tab[b >> 48 & 0xF]; l ^= s << 48; h ^= s >> 16;
-	s = tab[b >> 52 & 0xF]; l ^= s << 52; h ^= s >> 12;
-	s = tab[b >> 56 & 0xF]; l ^= s << 56; h ^= s >>  8;
-	s = tab[b >> 60      ]; l ^= s << 60; h ^= s >>  4;
-
-	/* compensate for the top three bits of a */
-
-	if (top3b & 01) { l ^= b << 61; h ^= b >> 3; } 
-	if (top3b & 02) { l ^= b << 62; h ^= b >> 2; } 
-	if (top3b & 04) { l ^= b << 63; h ^= b >> 1; } 
-
-	*r1 = h; *r0 = l;
-	} 
-#endif
-
-/* Product of two polynomials a, b each with degree < 2 * BN_BITS2 - 1,
- * result is a polynomial r with degree < 4 * BN_BITS2 - 1
- * The caller MUST ensure that the variables have the right amount
- * of space allocated.
- */
-static void bn_GF2m_mul_2x2(BN_ULONG *r, const BN_ULONG a1, const BN_ULONG a0, const BN_ULONG b1, const BN_ULONG b0)
-	{
-	BN_ULONG m1, m0;
-	/* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */
-	bn_GF2m_mul_1x1(r+3, r+2, a1, b1);
-	bn_GF2m_mul_1x1(r+1, r, a0, b0);
-	bn_GF2m_mul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1);
-	/* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */
-	r[2] ^= m1 ^ r[1] ^ r[3];  /* h0 ^= m1 ^ l1 ^ h1; */
-	r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0;  /* l1 ^= l0 ^ h0 ^ m0; */
-	}
-#else
-void bn_GF2m_mul_2x2(BN_ULONG *r, BN_ULONG a1, BN_ULONG a0, BN_ULONG b1, BN_ULONG b0);
-#endif 
-
-/* Add polynomials a and b and store result in r; r could be a or b, a and b 
- * could be equal; r is the bitwise XOR of a and b.
- */
-int	BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
-	{
-	int i;
-	const BIGNUM *at, *bt;
-
-	bn_check_top(a);
-	bn_check_top(b);
-
-	if (a->top < b->top) { at = b; bt = a; }
-	else { at = a; bt = b; }
-
-	if(bn_wexpand(r, at->top) == NULL)
-		return 0;
-
-	for (i = 0; i < bt->top; i++)
-		{
-		r->d[i] = at->d[i] ^ bt->d[i];
-		}
-	for (; i < at->top; i++)
-		{
-		r->d[i] = at->d[i];
-		}
-	
-	r->top = at->top;
-	bn_correct_top(r);
-	
-	return 1;
-	}
-
-
-/* Some functions allow for representation of the irreducible polynomials
- * as an int[], say p.  The irreducible f(t) is then of the form:
- *     t^p[0] + t^p[1] + ... + t^p[k]
- * where m = p[0] > p[1] > ... > p[k] = 0.
- */
-
-
-/* Performs modular reduction of a and store result in r.  r could be a. */
-int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[])
-	{
-	int j, k;
-	int n, dN, d0, d1;
-	BN_ULONG zz, *z;
-
-	bn_check_top(a);
-
-	if (!p[0])
-		{
-		/* reduction mod 1 => return 0 */
-		BN_zero(r);
-		return 1;
-		}
-
-	/* Since the algorithm does reduction in the r value, if a != r, copy
-	 * the contents of a into r so we can do reduction in r. 
-	 */
-	if (a != r)
-		{
-		if (!bn_wexpand(r, a->top)) return 0;
-		for (j = 0; j < a->top; j++)
-			{
-			r->d[j] = a->d[j];
-			}
-		r->top = a->top;
-		}
-	z = r->d;
-
-	/* start reduction */
-	dN = p[0] / BN_BITS2;  
-	for (j = r->top - 1; j > dN;)
-		{
-		zz = z[j];
-		if (z[j] == 0) { j--; continue; }
-		z[j] = 0;
-
-		for (k = 1; p[k] != 0; k++)
-			{
-			/* reducing component t^p[k] */
-			n = p[0] - p[k];
-			d0 = n % BN_BITS2;  d1 = BN_BITS2 - d0;
-			n /= BN_BITS2; 
-			z[j-n] ^= (zz>>d0);
-			if (d0) z[j-n-1] ^= (zz<<d1);
-			}
-
-		/* reducing component t^0 */
-		n = dN;  
-		d0 = p[0] % BN_BITS2;
-		d1 = BN_BITS2 - d0;
-		z[j-n] ^= (zz >> d0);
-		if (d0) z[j-n-1] ^= (zz << d1);
-		}
-
-	/* final round of reduction */
-	while (j == dN)
-		{
-
-		d0 = p[0] % BN_BITS2;
-		zz = z[dN] >> d0;
-		if (zz == 0) break;
-		d1 = BN_BITS2 - d0;
-		
-		/* clear up the top d1 bits */
-		if (d0)
-			z[dN] = (z[dN] << d1) >> d1;
-		else
-			z[dN] = 0;
-		z[0] ^= zz; /* reduction t^0 component */
-
-		for (k = 1; p[k] != 0; k++)
-			{
-			BN_ULONG tmp_ulong;
-
-			/* reducing component t^p[k]*/
-			n = p[k] / BN_BITS2;   
-			d0 = p[k] % BN_BITS2;
-			d1 = BN_BITS2 - d0;
-			z[n] ^= (zz << d0);
-			tmp_ulong = zz >> d1;
-                        if (d0 && tmp_ulong)
-                                z[n+1] ^= tmp_ulong;
-			}
-
-		
-		}
-
-	bn_correct_top(r);
-	return 1;
-	}
-
-/* Performs modular reduction of a by p and store result in r.  r could be a.
- *
- * This function calls down to the BN_GF2m_mod_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_arr function.
- */
-int	BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p)
-	{
-	int ret = 0;
-	int arr[6];
-	bn_check_top(a);
-	bn_check_top(p);
-	ret = BN_GF2m_poly2arr(p, arr, sizeof(arr)/sizeof(arr[0]));
-	if (!ret || ret > (int)(sizeof(arr)/sizeof(arr[0])))
-		{
-		BNerr(BN_F_BN_GF2M_MOD,BN_R_INVALID_LENGTH);
-		return 0;
-		}
-	ret = BN_GF2m_mod_arr(r, a, arr);
-	bn_check_top(r);
-	return ret;
-	}
-
-
-/* Compute the product of two polynomials a and b, reduce modulo p, and store
- * the result in r.  r could be a or b; a could be b.
- */
-int	BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
-	{
-	int zlen, i, j, k, ret = 0;
-	BIGNUM *s;
-	BN_ULONG x1, x0, y1, y0, zz[4];
-
-	bn_check_top(a);
-	bn_check_top(b);
-
-	if (a == b)
-		{
-		return BN_GF2m_mod_sqr_arr(r, a, p, ctx);
-		}
-
-	BN_CTX_start(ctx);
-	if ((s = BN_CTX_get(ctx)) == NULL) goto err;
-	
-	zlen = a->top + b->top + 4;
-	if (!bn_wexpand(s, zlen)) goto err;
-	s->top = zlen;
-
-	for (i = 0; i < zlen; i++) s->d[i] = 0;
-
-	for (j = 0; j < b->top; j += 2)
-		{
-		y0 = b->d[j];
-		y1 = ((j+1) == b->top) ? 0 : b->d[j+1];
-		for (i = 0; i < a->top; i += 2)
-			{
-			x0 = a->d[i];
-			x1 = ((i+1) == a->top) ? 0 : a->d[i+1];
-			bn_GF2m_mul_2x2(zz, x1, x0, y1, y0);
-			for (k = 0; k < 4; k++) s->d[i+j+k] ^= zz[k];
-			}
-		}
-
-	bn_correct_top(s);
-	if (BN_GF2m_mod_arr(r, s, p))
-		ret = 1;
-	bn_check_top(r);
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Compute the product of two polynomials a and b, reduce modulo p, and store
- * the result in r.  r could be a or b; a could equal b.
- *
- * This function calls down to the BN_GF2m_mod_mul_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_mul_arr function.
- */
-int	BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
-	{
-	int ret = 0;
-	const int max = BN_num_bits(p) + 1;
-	int *arr=NULL;
-	bn_check_top(a);
-	bn_check_top(b);
-	bn_check_top(p);
-	if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
-	ret = BN_GF2m_poly2arr(p, arr, max);
-	if (!ret || ret > max)
-		{
-		BNerr(BN_F_BN_GF2M_MOD_MUL,BN_R_INVALID_LENGTH);
-		goto err;
-		}
-	ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx);
-	bn_check_top(r);
-err:
-	if (arr) OPENSSL_free(arr);
-	return ret;
-	}
-
-
-/* Square a, reduce the result mod p, and store it in a.  r could be a. */
-int	BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
-	{
-	int i, ret = 0;
-	BIGNUM *s;
-
-	bn_check_top(a);
-	BN_CTX_start(ctx);
-	if ((s = BN_CTX_get(ctx)) == NULL) return 0;
-	if (!bn_wexpand(s, 2 * a->top)) goto err;
-
-	for (i = a->top - 1; i >= 0; i--)
-		{
-		s->d[2*i+1] = SQR1(a->d[i]);
-		s->d[2*i  ] = SQR0(a->d[i]);
-		}
-
-	s->top = 2 * a->top;
-	bn_correct_top(s);
-	if (!BN_GF2m_mod_arr(r, s, p)) goto err;
-	bn_check_top(r);
-	ret = 1;
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Square a, reduce the result mod p, and store it in a.  r could be a.
- *
- * This function calls down to the BN_GF2m_mod_sqr_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_sqr_arr function.
- */
-int	BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
-	{
-	int ret = 0;
-	const int max = BN_num_bits(p) + 1;
-	int *arr=NULL;
-
-	bn_check_top(a);
-	bn_check_top(p);
-	if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
-	ret = BN_GF2m_poly2arr(p, arr, max);
-	if (!ret || ret > max)
-		{
-		BNerr(BN_F_BN_GF2M_MOD_SQR,BN_R_INVALID_LENGTH);
-		goto err;
-		}
-	ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx);
-	bn_check_top(r);
-err:
-	if (arr) OPENSSL_free(arr);
-	return ret;
-	}
-
-
-/* Invert a, reduce modulo p, and store the result in r. r could be a. 
- * Uses Modified Almost Inverse Algorithm (Algorithm 10) from
- *     Hankerson, D., Hernandez, J.L., and Menezes, A.  "Software Implementation
- *     of Elliptic Curve Cryptography Over Binary Fields".
- */
-int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
-	{
-	BIGNUM *b, *c = NULL, *u = NULL, *v = NULL, *tmp;
-	int ret = 0;
-
-	bn_check_top(a);
-	bn_check_top(p);
-
-	BN_CTX_start(ctx);
-	
-	if ((b = BN_CTX_get(ctx))==NULL) goto err;
-	if ((c = BN_CTX_get(ctx))==NULL) goto err;
-	if ((u = BN_CTX_get(ctx))==NULL) goto err;
-	if ((v = BN_CTX_get(ctx))==NULL) goto err;
-
-	if (!BN_GF2m_mod(u, a, p)) goto err;
-	if (BN_is_zero(u)) goto err;
-
-	if (!BN_copy(v, p)) goto err;
-#if 0
-	if (!BN_one(b)) goto err;
-
-	while (1)
-		{
-		while (!BN_is_odd(u))
-			{
-			if (BN_is_zero(u)) goto err;
-			if (!BN_rshift1(u, u)) goto err;
-			if (BN_is_odd(b))
-				{
-				if (!BN_GF2m_add(b, b, p)) goto err;
-				}
-			if (!BN_rshift1(b, b)) goto err;
-			}
-
-		if (BN_abs_is_word(u, 1)) break;
-
-		if (BN_num_bits(u) < BN_num_bits(v))
-			{
-			tmp = u; u = v; v = tmp;
-			tmp = b; b = c; c = tmp;
-			}
-		
-		if (!BN_GF2m_add(u, u, v)) goto err;
-		if (!BN_GF2m_add(b, b, c)) goto err;
-		}
-#else
-	{
-	int i,	ubits = BN_num_bits(u),
-		vbits = BN_num_bits(v),	/* v is copy of p */
-		top = p->top;
-	BN_ULONG *udp,*bdp,*vdp,*cdp;
-
-	bn_wexpand(u,top);	udp = u->d;
-				for (i=u->top;i<top;i++) udp[i] = 0;
-				u->top = top;
-	bn_wexpand(b,top);	bdp = b->d;
-				bdp[0] = 1;
-				for (i=1;i<top;i++) bdp[i] = 0;
-				b->top = top;
-	bn_wexpand(c,top);	cdp = c->d;
-				for (i=0;i<top;i++) cdp[i] = 0;
-				c->top = top;
-	vdp = v->d;	/* It pays off to "cache" *->d pointers, because
-			 * it allows optimizer to be more aggressive.
-			 * But we don't have to "cache" p->d, because *p
-			 * is declared 'const'... */
-	while (1)
-		{
-		while (ubits && !(udp[0]&1))
-			{
-			BN_ULONG u0,u1,b0,b1,mask;
-
-			u0   = udp[0];
-			b0   = bdp[0];
-			mask = (BN_ULONG)0-(b0&1);
-			b0  ^= p->d[0]&mask;
-			for (i=0;i<top-1;i++)
-				{
-				u1 = udp[i+1];
-				udp[i] = ((u0>>1)|(u1<<(BN_BITS2-1)))&BN_MASK2;
-				u0 = u1;
-				b1 = bdp[i+1]^(p->d[i+1]&mask);
-				bdp[i] = ((b0>>1)|(b1<<(BN_BITS2-1)))&BN_MASK2;
-				b0 = b1;
-				}
-			udp[i] = u0>>1;
-			bdp[i] = b0>>1;
-			ubits--;
-			}
-
-		if (ubits<=BN_BITS2 && udp[0]==1) break;
-
-		if (ubits<vbits)
-			{
-			i = ubits; ubits = vbits; vbits = i;
-			tmp = u; u = v; v = tmp;
-			tmp = b; b = c; c = tmp;
-			udp = vdp; vdp = v->d;
-			bdp = cdp; cdp = c->d;
-			}
-		for(i=0;i<top;i++)
-			{
-			udp[i] ^= vdp[i];
-			bdp[i] ^= cdp[i];
-			}
-		if (ubits==vbits)
-			{
-			BN_ULONG ul;
-			int utop = (ubits-1)/BN_BITS2;
-
-			while ((ul=udp[utop])==0 && utop) utop--;
-			ubits = utop*BN_BITS2 + BN_num_bits_word(ul);
-			}
-		}
-	bn_correct_top(b);
-	}
-#endif
-
-	if (!BN_copy(r, b)) goto err;
-	bn_check_top(r);
-	ret = 1;
-
-err:
-#ifdef BN_DEBUG /* BN_CTX_end would complain about the expanded form */
-        bn_correct_top(c);
-        bn_correct_top(u);
-        bn_correct_top(v);
-#endif
-  	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Invert xx, reduce modulo p, and store the result in r. r could be xx. 
- *
- * This function calls down to the BN_GF2m_mod_inv implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_inv function.
- */
-int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const int p[], BN_CTX *ctx)
-	{
-	BIGNUM *field;
-	int ret = 0;
-
-	bn_check_top(xx);
-	BN_CTX_start(ctx);
-	if ((field = BN_CTX_get(ctx)) == NULL) goto err;
-	if (!BN_GF2m_arr2poly(p, field)) goto err;
-	
-	ret = BN_GF2m_mod_inv(r, xx, field, ctx);
-	bn_check_top(r);
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-
-#ifndef OPENSSL_SUN_GF2M_DIV
-/* Divide y by x, reduce modulo p, and store the result in r. r could be x 
- * or y, x could equal y.
- */
-int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
-	{
-	BIGNUM *xinv = NULL;
-	int ret = 0;
-
-	bn_check_top(y);
-	bn_check_top(x);
-	bn_check_top(p);
-
-	BN_CTX_start(ctx);
-	xinv = BN_CTX_get(ctx);
-	if (xinv == NULL) goto err;
-	
-	if (!BN_GF2m_mod_inv(xinv, x, p, ctx)) goto err;
-	if (!BN_GF2m_mod_mul(r, y, xinv, p, ctx)) goto err;
-	bn_check_top(r);
-	ret = 1;
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-#else
-/* Divide y by x, reduce modulo p, and store the result in r. r could be x 
- * or y, x could equal y.
- * Uses algorithm Modular_Division_GF(2^m) from 
- *     Chang-Shantz, S.  "From Euclid's GCD to Montgomery Multiplication to 
- *     the Great Divide".
- */
-int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
-	{
-	BIGNUM *a, *b, *u, *v;
-	int ret = 0;
-
-	bn_check_top(y);
-	bn_check_top(x);
-	bn_check_top(p);
-
-	BN_CTX_start(ctx);
-	
-	a = BN_CTX_get(ctx);
-	b = BN_CTX_get(ctx);
-	u = BN_CTX_get(ctx);
-	v = BN_CTX_get(ctx);
-	if (v == NULL) goto err;
-
-	/* reduce x and y mod p */
-	if (!BN_GF2m_mod(u, y, p)) goto err;
-	if (!BN_GF2m_mod(a, x, p)) goto err;
-	if (!BN_copy(b, p)) goto err;
-	
-	while (!BN_is_odd(a))
-		{
-		if (!BN_rshift1(a, a)) goto err;
-		if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
-		if (!BN_rshift1(u, u)) goto err;
-		}
-
-	do
-		{
-		if (BN_GF2m_cmp(b, a) > 0)
-			{
-			if (!BN_GF2m_add(b, b, a)) goto err;
-			if (!BN_GF2m_add(v, v, u)) goto err;
-			do
-				{
-				if (!BN_rshift1(b, b)) goto err;
-				if (BN_is_odd(v)) if (!BN_GF2m_add(v, v, p)) goto err;
-				if (!BN_rshift1(v, v)) goto err;
-				} while (!BN_is_odd(b));
-			}
-		else if (BN_abs_is_word(a, 1))
-			break;
-		else
-			{
-			if (!BN_GF2m_add(a, a, b)) goto err;
-			if (!BN_GF2m_add(u, u, v)) goto err;
-			do
-				{
-				if (!BN_rshift1(a, a)) goto err;
-				if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
-				if (!BN_rshift1(u, u)) goto err;
-				} while (!BN_is_odd(a));
-			}
-		} while (1);
-
-	if (!BN_copy(r, u)) goto err;
-	bn_check_top(r);
-	ret = 1;
-
-err:
-  	BN_CTX_end(ctx);
-	return ret;
-	}
-#endif
-
-/* Divide yy by xx, reduce modulo p, and store the result in r. r could be xx 
- * or yy, xx could equal yy.
- *
- * This function calls down to the BN_GF2m_mod_div implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_div function.
- */
-int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx, const int p[], BN_CTX *ctx)
-	{
-	BIGNUM *field;
-	int ret = 0;
-
-	bn_check_top(yy);
-	bn_check_top(xx);
-
-	BN_CTX_start(ctx);
-	if ((field = BN_CTX_get(ctx)) == NULL) goto err;
-	if (!BN_GF2m_arr2poly(p, field)) goto err;
-	
-	ret = BN_GF2m_mod_div(r, yy, xx, field, ctx);
-	bn_check_top(r);
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-
-/* Compute the bth power of a, reduce modulo p, and store
- * the result in r.  r could be a.
- * Uses simple square-and-multiply algorithm A.5.1 from IEEE P1363.
- */
-int	BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
-	{
-	int ret = 0, i, n;
-	BIGNUM *u;
-
-	bn_check_top(a);
-	bn_check_top(b);
-
-	if (BN_is_zero(b))
-		return(BN_one(r));
-
-	if (BN_abs_is_word(b, 1))
-		return (BN_copy(r, a) != NULL);
-
-	BN_CTX_start(ctx);
-	if ((u = BN_CTX_get(ctx)) == NULL) goto err;
-	
-	if (!BN_GF2m_mod_arr(u, a, p)) goto err;
-	
-	n = BN_num_bits(b) - 1;
-	for (i = n - 1; i >= 0; i--)
-		{
-		if (!BN_GF2m_mod_sqr_arr(u, u, p, ctx)) goto err;
-		if (BN_is_bit_set(b, i))
-			{
-			if (!BN_GF2m_mod_mul_arr(u, u, a, p, ctx)) goto err;
-			}
-		}
-	if (!BN_copy(r, u)) goto err;
-	bn_check_top(r);
-	ret = 1;
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Compute the bth power of a, reduce modulo p, and store
- * the result in r.  r could be a.
- *
- * This function calls down to the BN_GF2m_mod_exp_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_exp_arr function.
- */
-int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
-	{
-	int ret = 0;
-	const int max = BN_num_bits(p) + 1;
-	int *arr=NULL;
-	bn_check_top(a);
-	bn_check_top(b);
-	bn_check_top(p);
-	if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
-	ret = BN_GF2m_poly2arr(p, arr, max);
-	if (!ret || ret > max)
-		{
-		BNerr(BN_F_BN_GF2M_MOD_EXP,BN_R_INVALID_LENGTH);
-		goto err;
-		}
-	ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx);
-	bn_check_top(r);
-err:
-	if (arr) OPENSSL_free(arr);
-	return ret;
-	}
-
-/* Compute the square root of a, reduce modulo p, and store
- * the result in r.  r could be a.
- * Uses exponentiation as in algorithm A.4.1 from IEEE P1363.
- */
-int	BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
-	{
-	int ret = 0;
-	BIGNUM *u;
-
-	bn_check_top(a);
-
-	if (!p[0])
-		{
-		/* reduction mod 1 => return 0 */
-		BN_zero(r);
-		return 1;
-		}
-
-	BN_CTX_start(ctx);
-	if ((u = BN_CTX_get(ctx)) == NULL) goto err;
-	
-	if (!BN_set_bit(u, p[0] - 1)) goto err;
-	ret = BN_GF2m_mod_exp_arr(r, a, u, p, ctx);
-	bn_check_top(r);
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Compute the square root of a, reduce modulo p, and store
- * the result in r.  r could be a.
- *
- * This function calls down to the BN_GF2m_mod_sqrt_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_sqrt_arr function.
- */
-int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
-	{
-	int ret = 0;
-	const int max = BN_num_bits(p) + 1;
-	int *arr=NULL;
-	bn_check_top(a);
-	bn_check_top(p);
-	if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
-	ret = BN_GF2m_poly2arr(p, arr, max);
-	if (!ret || ret > max)
-		{
-		BNerr(BN_F_BN_GF2M_MOD_SQRT,BN_R_INVALID_LENGTH);
-		goto err;
-		}
-	ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx);
-	bn_check_top(r);
-err:
-	if (arr) OPENSSL_free(arr);
-	return ret;
-	}
-
-/* Find r such that r^2 + r = a mod p.  r could be a. If no r exists returns 0.
- * Uses algorithms A.4.7 and A.4.6 from IEEE P1363.
- */
-int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_, const int p[], BN_CTX *ctx)
-	{
-	int ret = 0, count = 0, j;
-	BIGNUM *a, *z, *rho, *w, *w2, *tmp;
-
-	bn_check_top(a_);
-
-	if (!p[0])
-		{
-		/* reduction mod 1 => return 0 */
-		BN_zero(r);
-		return 1;
-		}
-
-	BN_CTX_start(ctx);
-	a = BN_CTX_get(ctx);
-	z = BN_CTX_get(ctx);
-	w = BN_CTX_get(ctx);
-	if (w == NULL) goto err;
-
-	if (!BN_GF2m_mod_arr(a, a_, p)) goto err;
-	
-	if (BN_is_zero(a))
-		{
-		BN_zero(r);
-		ret = 1;
-		goto err;
-		}
-
-	if (p[0] & 0x1) /* m is odd */
-		{
-		/* compute half-trace of a */
-		if (!BN_copy(z, a)) goto err;
-		for (j = 1; j <= (p[0] - 1) / 2; j++)
-			{
-			if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
-			if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
-			if (!BN_GF2m_add(z, z, a)) goto err;
-			}
-		
-		}
-	else /* m is even */
-		{
-		rho = BN_CTX_get(ctx);
-		w2 = BN_CTX_get(ctx);
-		tmp = BN_CTX_get(ctx);
-		if (tmp == NULL) goto err;
-		do
-			{
-			if (!BN_rand(rho, p[0], 0, 0)) goto err;
-			if (!BN_GF2m_mod_arr(rho, rho, p)) goto err;
-			BN_zero(z);
-			if (!BN_copy(w, rho)) goto err;
-			for (j = 1; j <= p[0] - 1; j++)
-				{
-				if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
-				if (!BN_GF2m_mod_sqr_arr(w2, w, p, ctx)) goto err;
-				if (!BN_GF2m_mod_mul_arr(tmp, w2, a, p, ctx)) goto err;
-				if (!BN_GF2m_add(z, z, tmp)) goto err;
-				if (!BN_GF2m_add(w, w2, rho)) goto err;
-				}
-			count++;
-			} while (BN_is_zero(w) && (count < MAX_ITERATIONS));
-		if (BN_is_zero(w))
-			{
-			BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR,BN_R_TOO_MANY_ITERATIONS);
-			goto err;
-			}
-		}
-	
-	if (!BN_GF2m_mod_sqr_arr(w, z, p, ctx)) goto err;
-	if (!BN_GF2m_add(w, z, w)) goto err;
-	if (BN_GF2m_cmp(w, a))
-		{
-		BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_NO_SOLUTION);
-		goto err;
-		}
-
-	if (!BN_copy(r, z)) goto err;
-	bn_check_top(r);
-
-	ret = 1;
-
-err:
-	BN_CTX_end(ctx);
-	return ret;
-	}
-
-/* Find r such that r^2 + r = a mod p.  r could be a. If no r exists returns 0.
- *
- * This function calls down to the BN_GF2m_mod_solve_quad_arr implementation; this wrapper
- * function is only provided for convenience; for best performance, use the 
- * BN_GF2m_mod_solve_quad_arr function.
- */
-int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
-	{
-	int ret = 0;
-	const int max = BN_num_bits(p) + 1;
-	int *arr=NULL;
-	bn_check_top(a);
-	bn_check_top(p);
-	if ((arr = (int *)OPENSSL_malloc(sizeof(int) *
-						max)) == NULL) goto err;
-	ret = BN_GF2m_poly2arr(p, arr, max);
-	if (!ret || ret > max)
-		{
-		BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD,BN_R_INVALID_LENGTH);
-		goto err;
-		}
-	ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx);
-	bn_check_top(r);
-err:
-	if (arr) OPENSSL_free(arr);
-	return ret;
-	}
-
-/* Convert the bit-string representation of a polynomial
- * ( \sum_{i=0}^n a_i * x^i) into an array of integers corresponding 
- * to the bits with non-zero coefficient.  Array is terminated with -1.
- * Up to max elements of the array will be filled.  Return value is total
- * number of array elements that would be filled if array was large enough.
- */
-int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max)
-	{
-	int i, j, k = 0;
-	BN_ULONG mask;
-
-	if (BN_is_zero(a))
-		return 0;
-
-	for (i = a->top - 1; i >= 0; i--)
-		{
-		if (!a->d[i])
-			/* skip word if a->d[i] == 0 */
-			continue;
-		mask = BN_TBIT;
-		for (j = BN_BITS2 - 1; j >= 0; j--)
-			{
-			if (a->d[i] & mask) 
-				{
-				if (k < max) p[k] = BN_BITS2 * i + j;
-				k++;
-				}
-			mask >>= 1;
-			}
-		}
-
-	if (k < max) {
-		p[k] = -1;
-		k++;
-	}
-
-	return k;
-	}
-
-/* Convert the coefficient array representation of a polynomial to a 
- * bit-string.  The array must be terminated by -1.
- */
-int BN_GF2m_arr2poly(const int p[], BIGNUM *a)
-	{
-	int i;
-
-	bn_check_top(a);
-	BN_zero(a);
-	for (i = 0; p[i] != -1; i++)
-		{
-		if (BN_set_bit(a, p[i]) == 0)
-			return 0;
-		}
-	bn_check_top(a);
-
-	return 1;
-	}
-
-#endif