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-rw-r--r--crypto/bn/bn_nist.c775
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diff --git a/crypto/bn/bn_nist.c b/crypto/bn/bn_nist.c
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+++ b/crypto/bn/bn_nist.c
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+/* crypto/bn/bn_nist.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2005 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 "bn_lcl.h"
+#include "cryptlib.h"
+
+#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+
+#if BN_BITS2 == 64
+static const BN_ULONG _nist_p_192[] =
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL};
+static const BN_ULONG _nist_p_224[] =
+ {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL};
+static const BN_ULONG _nist_p_256[] =
+ {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFF00000001ULL};
+static const BN_ULONG _nist_p_384[] =
+ {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL};
+static const BN_ULONG _nist_p_521[] =
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL};
+#elif BN_BITS2 == 32
+static const BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+static const BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+static const BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
+static const BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
+ 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0x000001FF};
+#elif BN_BITS2 == 16
+static const BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
+static const BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
+ 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
+static const BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
+ 0xFFFF};
+static const BN_ULONG _nist_p_384[] = {0xFFFF,0xFFFF,0x0000,0x0000,0x0000,
+ 0x0000,0xFFFF,0xFFFF,0xFFFE,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
+static const BN_ULONG _nist_p_521[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0x01FF};
+#elif BN_BITS2 == 8
+static const BN_ULONG _nist_p_192[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF};
+static const BN_ULONG _nist_p_224[] = {0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
+static const BN_ULONG _nist_p_256[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x01,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF};
+static const BN_ULONG _nist_p_384[] = {0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF};
+static const BN_ULONG _nist_p_521[] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0x01};
+#endif
+
+const BIGNUM *BN_get0_nist_prime_192(void)
+ {
+ static BIGNUM const_nist_192 = { (BN_ULONG *)_nist_p_192,
+ BN_NIST_192_TOP, BN_NIST_192_TOP, 0, BN_FLG_STATIC_DATA };
+ return &const_nist_192;
+ }
+
+const BIGNUM *BN_get0_nist_prime_224(void)
+ {
+ static BIGNUM const_nist_224 = { (BN_ULONG *)_nist_p_224,
+ BN_NIST_224_TOP, BN_NIST_224_TOP, 0, BN_FLG_STATIC_DATA };
+ return &const_nist_224;
+ }
+
+const BIGNUM *BN_get0_nist_prime_256(void)
+ {
+ static BIGNUM const_nist_256 = { (BN_ULONG *)_nist_p_256,
+ BN_NIST_256_TOP, BN_NIST_256_TOP, 0, BN_FLG_STATIC_DATA };
+ return &const_nist_256;
+ }
+
+const BIGNUM *BN_get0_nist_prime_384(void)
+ {
+ static BIGNUM const_nist_384 = { (BN_ULONG *)_nist_p_384,
+ BN_NIST_384_TOP, BN_NIST_384_TOP, 0, BN_FLG_STATIC_DATA };
+ return &const_nist_384;
+ }
+
+const BIGNUM *BN_get0_nist_prime_521(void)
+ {
+ static BIGNUM const_nist_521 = { (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP, BN_NIST_521_TOP, 0, BN_FLG_STATIC_DATA };
+ return &const_nist_521;
+ }
+
+/* some misc internal functions */
+#if BN_BITS2 != 64
+static BN_ULONG _256_data[BN_NIST_256_TOP*6];
+static int _is_set_256_data = 0;
+static void _init_256_data(void);
+
+static BN_ULONG _384_data[BN_NIST_384_TOP*8];
+static int _is_set_384_data = 0;
+static void _init_384_data(void);
+#endif
+
+#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
+
+static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
+ {
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ for (i = (max) - (top); i != 0; i--)
+ *_tmp1++ = (BN_ULONG) 0;
+ }
+
+static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
+ {
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ }
+
+#if BN_BITS2 == 64
+#define bn_cp_64(to, n, from, m) (to)[n] = (from)[m];
+#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
+/* TBD */
+#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
+#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+#else
+#define bn_cp_64(to, n, from, m) \
+ { \
+ bn_cp_32(to, (n)*2, from, (m)*2); \
+ bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
+ }
+#define bn_64_set_0(to, n) \
+ { \
+ bn_32_set_0(to, (n)*2); \
+ bn_32_set_0(to, (n)*2+1); \
+ }
+#if BN_BITS2 == 32
+#define bn_cp_32(to, n, from, m) (to)[n] = (from)[m];
+#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+#elif BN_BITS2 == 16
+#define bn_cp_32(to, n, from, m) \
+ { \
+ (to)[(n)*2] = (from)[(m)*2]; \
+ (to)[(n)*2+1] = (from)[(m)*2+1];\
+ }
+#define bn_32_set_0(to, n) { (to)[(n)*2] = 0; (to)[(n)*2+1] = 0; }
+#elif BN_BITS2 == 8
+#define bn_cp_32(to, n, from, m) \
+ { \
+ (to)[(n)*4] = (from)[(m)*4]; \
+ (to)[(n)*4+1] = (from)[(m)*4+1];\
+ (to)[(n)*4+2] = (from)[(m)*4+2];\
+ (to)[(n)*4+3] = (from)[(m)*4+3];\
+ }
+#define bn_32_set_0(to, n) \
+ { (to)[(n)*4] = (BN_ULONG)0; (to)[(n)*4+1] = (BN_ULONG)0; \
+ (to)[(n)*4+2] = (BN_ULONG)0; (to)[(n)*4+3] = (BN_ULONG)0; }
+#endif
+#endif /* BN_BITS2 != 64 */
+
+
+#define nist_set_192(to, from, a1, a2, a3) \
+ { \
+ if (a3 != 0) bn_cp_64(to, 0, from, (a3) - 3) else bn_64_set_0(to, 0)\
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ if (a1 != 0) bn_cp_64(to, 2, from, (a1) - 3) else bn_64_set_0(to, 2)\
+ }
+
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ BN_ULONG carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_192_TOP],
+ buf[BN_NIST_192_TOP];
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
+
+ if (top == BN_NIST_192_TOP)
+ return BN_usub(r, a, field);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_192_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
+
+#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
+# pragma message save
+# pragma message disable BADSUBSCRIPT
+#endif
+
+ nist_set_192(t_d, buf, 0, 3, 3);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+ ++carry;
+
+ nist_set_192(t_d, buf, 4, 4, 0);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+ ++carry;
+
+#if defined(OPENSSL_SYS_VMS) && defined(__DECC)
+# pragma message restore
+#endif
+
+ nist_set_192(t_d, buf, 5, 5, 5)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+ ++carry;
+
+ while (carry)
+ {
+ if (bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP))
+ --carry;
+ }
+ r->top = BN_NIST_192_TOP;
+ bn_correct_top(r);
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
+ bn_correct_top(r);
+ }
+
+ bn_check_top(r);
+ return 1;
+ }
+
+#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
+ { \
+ if (a7 != 0) bn_cp_32(to, 0, from, (a7) - 7) else bn_32_set_0(to, 0)\
+ if (a6 != 0) bn_cp_32(to, 1, from, (a6) - 7) else bn_32_set_0(to, 1)\
+ if (a5 != 0) bn_cp_32(to, 2, from, (a5) - 7) else bn_32_set_0(to, 2)\
+ if (a4 != 0) bn_cp_32(to, 3, from, (a4) - 7) else bn_32_set_0(to, 3)\
+ if (a3 != 0) bn_cp_32(to, 4, from, (a3) - 7) else bn_32_set_0(to, 4)\
+ if (a2 != 0) bn_cp_32(to, 5, from, (a2) - 7) else bn_32_set_0(to, 5)\
+ if (a1 != 0) bn_cp_32(to, 6, from, (a1) - 7) else bn_32_set_0(to, 6)\
+ }
+
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#if BN_BITS2 != 64
+ int top = a->top, i;
+ int carry = 0;
+ BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_224_TOP],
+ buf[BN_NIST_224_TOP];
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (top == BN_NIST_224_TOP)
+ return BN_usub(r, a, field);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_224_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
+
+ nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ ++carry;
+ nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ ++carry;
+ nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ --carry;
+ nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ --carry;
+
+ if (carry > 0)
+ while (carry)
+ {
+ if (bn_sub_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
+ --carry;
+ }
+ else if (carry < 0)
+ while (carry)
+ {
+ if (bn_add_words(r_d,r_d,_nist_p_224,BN_NIST_224_TOP))
+ ++carry;
+ }
+
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
+ bn_correct_top(r);
+ }
+ bn_check_top(r);
+ return 1;
+#else
+ return 0;
+#endif
+ }
+
+#if BN_BITS2 != 64
+static void _init_256_data(void)
+ {
+ int i;
+ BN_ULONG *tmp1 = _256_data;
+ const BN_ULONG *tmp2 = tmp1;
+
+ memcpy(tmp1, _nist_p_256, BN_NIST_256_TOP * sizeof(BN_ULONG));
+ tmp1 += BN_NIST_256_TOP;
+
+ for (i=0; i<5; i++)
+ {
+ bn_add_words(tmp1, _nist_p_256, tmp2, BN_NIST_256_TOP);
+ tmp2 = tmp1;
+ tmp1 += BN_NIST_256_TOP;
+ }
+ _is_set_256_data = 1;
+ }
+#endif
+
+#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
+ { \
+ if (a8 != 0) bn_cp_32(to, 0, from, (a8) - 8) else bn_32_set_0(to, 0)\
+ if (a7 != 0) bn_cp_32(to, 1, from, (a7) - 8) else bn_32_set_0(to, 1)\
+ if (a6 != 0) bn_cp_32(to, 2, from, (a6) - 8) else bn_32_set_0(to, 2)\
+ if (a5 != 0) bn_cp_32(to, 3, from, (a5) - 8) else bn_32_set_0(to, 3)\
+ if (a4 != 0) bn_cp_32(to, 4, from, (a4) - 8) else bn_32_set_0(to, 4)\
+ if (a3 != 0) bn_cp_32(to, 5, from, (a3) - 8) else bn_32_set_0(to, 5)\
+ if (a2 != 0) bn_cp_32(to, 6, from, (a2) - 8) else bn_32_set_0(to, 6)\
+ if (a1 != 0) bn_cp_32(to, 7, from, (a1) - 8) else bn_32_set_0(to, 7)\
+ }
+
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#if BN_BITS2 != 64
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *a_d = a->d, *r_d;
+ BN_ULONG t_d[BN_NIST_256_TOP],
+ t_d2[BN_NIST_256_TOP],
+ buf[BN_NIST_256_TOP];
+
+ if (!_is_set_256_data)
+ {
+ CRYPTO_w_lock(CRYPTO_LOCK_BN);
+
+ if (!_is_set_256_data)
+ _init_256_data();
+
+ CRYPTO_w_unlock(CRYPTO_LOCK_BN);
+ }
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (top == BN_NIST_256_TOP)
+ return BN_usub(r, a, field);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_256_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
+
+ /*S1*/
+ nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
+ /*S2*/
+ nist_set_256(t_d2,buf, 0, 15, 14, 13, 12, 0, 0, 0);
+ if (bn_add_words(t_d, t_d, t_d2, BN_NIST_256_TOP))
+ carry = 2;
+ /* left shift */
+ {
+ register BN_ULONG *ap,t,c;
+ ap = t_d;
+ c=0;
+ for (i = BN_NIST_256_TOP; i != 0; --i)
+ {
+ t= *ap;
+ *(ap++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ if (c)
+ ++carry;
+ }
+
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S3*/
+ nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S4*/
+ nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*D1*/
+ nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D2*/
+ nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D3*/
+ nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D4*/
+ nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+
+ if (carry)
+ {
+ if (carry > 0)
+ bn_sub_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
+ --carry, BN_NIST_256_TOP);
+ else
+ {
+ carry = -carry;
+ bn_add_words(r_d, r_d, _256_data + BN_NIST_256_TOP *
+ --carry, BN_NIST_256_TOP);
+ }
+ }
+
+ r->top = BN_NIST_256_TOP;
+ bn_correct_top(r);
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
+ bn_correct_top(r);
+ }
+ bn_check_top(r);
+ return 1;
+#else
+ return 0;
+#endif
+ }
+
+#if BN_BITS2 != 64
+static void _init_384_data(void)
+ {
+ int i;
+ BN_ULONG *tmp1 = _384_data;
+ const BN_ULONG *tmp2 = tmp1;
+
+ memcpy(tmp1, _nist_p_384, BN_NIST_384_TOP * sizeof(BN_ULONG));
+ tmp1 += BN_NIST_384_TOP;
+
+ for (i=0; i<7; i++)
+ {
+ bn_add_words(tmp1, _nist_p_384, tmp2, BN_NIST_384_TOP);
+ tmp2 = tmp1;
+ tmp1 += BN_NIST_384_TOP;
+ }
+ _is_set_384_data = 1;
+ }
+#endif
+
+#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
+ { \
+ if (a12 != 0) bn_cp_32(to, 0, from, (a12) - 12) else bn_32_set_0(to, 0)\
+ if (a11 != 0) bn_cp_32(to, 1, from, (a11) - 12) else bn_32_set_0(to, 1)\
+ if (a10 != 0) bn_cp_32(to, 2, from, (a10) - 12) else bn_32_set_0(to, 2)\
+ if (a9 != 0) bn_cp_32(to, 3, from, (a9) - 12) else bn_32_set_0(to, 3)\
+ if (a8 != 0) bn_cp_32(to, 4, from, (a8) - 12) else bn_32_set_0(to, 4)\
+ if (a7 != 0) bn_cp_32(to, 5, from, (a7) - 12) else bn_32_set_0(to, 5)\
+ if (a6 != 0) bn_cp_32(to, 6, from, (a6) - 12) else bn_32_set_0(to, 6)\
+ if (a5 != 0) bn_cp_32(to, 7, from, (a5) - 12) else bn_32_set_0(to, 7)\
+ if (a4 != 0) bn_cp_32(to, 8, from, (a4) - 12) else bn_32_set_0(to, 8)\
+ if (a3 != 0) bn_cp_32(to, 9, from, (a3) - 12) else bn_32_set_0(to, 9)\
+ if (a2 != 0) bn_cp_32(to, 10, from, (a2) - 12) else bn_32_set_0(to, 10)\
+ if (a1 != 0) bn_cp_32(to, 11, from, (a1) - 12) else bn_32_set_0(to, 11)\
+ }
+
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#if BN_BITS2 != 64
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_384_TOP],
+ buf[BN_NIST_384_TOP];
+
+ if (!_is_set_384_data)
+ {
+ CRYPTO_w_lock(CRYPTO_LOCK_BN);
+
+ if (!_is_set_384_data)
+ _init_384_data();
+
+ CRYPTO_w_unlock(CRYPTO_LOCK_BN);
+ }
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (top == BN_NIST_384_TOP)
+ return BN_usub(r, a, field);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_384_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
+
+ /*S1*/
+ nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
+ /* left shift */
+ {
+ register BN_ULONG *ap,t,c;
+ ap = t_d;
+ c=0;
+ for (i = BN_NIST_256_TOP; i != 0; --i)
+ {
+ t= *ap;
+ *(ap++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ }
+ if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S2 */
+ if (bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP))
+ ++carry;
+ /*S3*/
+ nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ ++carry;
+ /*S4*/
+ nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ ++carry;
+ /*S5*/
+ nist_set_256(t_d, buf, 0, 0, 0, 0, 23-4, 22-4, 21-4, 20-4);
+ if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S6*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ ++carry;
+ /*D1*/
+ nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ --carry;
+ /*D2*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ --carry;
+ /*D3*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ --carry;
+
+ if (carry)
+ {
+ if (carry > 0)
+ bn_sub_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
+ --carry, BN_NIST_384_TOP);
+ else
+ {
+ carry = -carry;
+ bn_add_words(r_d, r_d, _384_data + BN_NIST_384_TOP *
+ --carry, BN_NIST_384_TOP);
+ }
+ }
+
+ r->top = BN_NIST_384_TOP;
+ bn_correct_top(r);
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
+ bn_correct_top(r);
+ }
+ bn_check_top(r);
+ return 1;
+#else
+ return 0;
+#endif
+ }
+
+int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#if BN_BITS2 == 64
+#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
+#elif BN_BITS2 == 32
+#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
+#elif BN_BITS2 == 16
+#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1FF
+#elif BN_BITS2 == 8
+#define BN_NIST_521_TOP_MASK (BN_ULONG)0x1
+#endif
+ int top, ret = 0;
+ BN_ULONG *r_d;
+ BIGNUM *tmp;
+
+ /* check whether a reduction is necessary */
+ top = a->top;
+ if (top < BN_NIST_521_TOP || ( top == BN_NIST_521_TOP &&
+ (!(a->d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))))
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (!tmp)
+ goto err;
+
+ if (!bn_wexpand(tmp, BN_NIST_521_TOP))
+ goto err;
+ nist_cp_bn(tmp->d, a->d, BN_NIST_521_TOP);
+
+ tmp->top = BN_NIST_521_TOP;
+ tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
+ bn_correct_top(tmp);
+
+ if (!BN_rshift(r, a, 521))
+ goto err;
+
+ if (!BN_uadd(r, tmp, r))
+ goto err;
+ top = r->top;
+ r_d = r->d;
+ if (top == BN_NIST_521_TOP &&
+ (r_d[BN_NIST_521_TOP-1] & ~(BN_NIST_521_TOP_MASK)))
+ {
+ BN_NIST_ADD_ONE(r_d)
+ r_d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
+ }
+ bn_correct_top(r);
+
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+
+ bn_check_top(r);
+ return ret;
+ }
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