+/* crypto/bn/bn_nist.p */
+/* ====================================================================
+ * 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 "bn_lcl.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
+const static BN_ULONG _nist_p_192[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFE,
+ 0xFFFFFFFFFFFFFFFF};
+const static BN_ULONG _nist_p_224[] = {0x0000000000000001,0xFFFFFFFF00000000,
+ 0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF};
+const static BN_ULONG _nist_p_256[] = {0xFFFFFFFFFFFFFFFF,0x00000000FFFFFFFF,
+ 0x0000000000000000,0xFFFFFFFF00000001};
+const static BN_ULONG _nist_p_384[] = {0x00000000FFFFFFFF,0xFFFFFFFF00000000,
+ 0xFFFFFFFFFFFFFFFE,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
+ 0xFFFFFFFFFFFFFFFF};
+const static BN_ULONG _nist_p_521[] = {0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
+ 0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
+ 0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,0xFFFFFFFFFFFFFFFF,
+ 0x00000000000001FF};
+#elif BN_BITS2 == 32
+const static BN_ULONG _nist_p_192[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+const static BN_ULONG _nist_p_224[] = {0x00000001,0x00000000,0x00000000,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+const static BN_ULONG _nist_p_256[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0x00000000,0x00000000,0x00000000,0x00000001,0xFFFFFFFF};
+const static BN_ULONG _nist_p_384[] = {0xFFFFFFFF,0x00000000,0x00000000,
+ 0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF};
+const static 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
+const static BN_ULONG _nist_p_192[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFE,
+ 0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
+const static BN_ULONG _nist_p_224[] = {0x0001,0x0000,0x0000,0x0000,0x0000,
+ 0x0000,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF};
+const static BN_ULONG _nist_p_256[] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF,0xFFFF,
+ 0xFFFF,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0000,0xFFFF,
+ 0xFFFF};
+const static 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};
+const static 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
+const static 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};
+const static 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};
+const static 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};
+const static 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};
+const static 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 */
+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);
+
+#define BN_NIST_ADD_ONE(a) while (!(++(*(a)))) ++(a);
+#define __buf_0 (BN_ULONG)0
+#define __buf_0_1 (BN_ULONG)0
+#define __buf_0_2 (BN_ULONG)0
+#if BN_BITS2 == 64
+#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
+#define BN_CP_64_TO_BUF(n) __buf_##n = (a)[(n)];
+#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n;
+#define BN_CASE_64_BIT(n,a) case (n): __buf_##n = (a)[(n)];
+#if UINT_MAX == 4294967295UL
+#define nist32 unsigned int
+#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
+#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
+#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
+#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
+#elif ULONG_MAX == 4294967295UL
+#define nist32 unsigned long
+#define BN_32_BIT_BUF(n) nist32 __buf_##n = (nist32)0;
+#define BN_CP_32_TO_BUF(n) __buf_##n = ((nist32 *)(a))[(n)];
+#define BN_CP_32_FROM_BUF(a,n) *((nist32)(a))++ = __buf_##n;
+#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = ((nist32)(a))[(n)];
+#else
+#define NO_32_BIT_TYPE
+#endif
+#elif BN_BITS2 == 32
+#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
+#define BN_CP_64_TO_BUF(n) __buf_##n##_2 = (a)[2*(n)+1];\
+ __buf_##n##_1 = (a)[2*(n)];
+#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
+ *(a)++ = __buf_##n##_2;
+#define BN_CASE_64_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
+ case 2*(n): __buf_##n##_1 = (a)[2*(n)];
+
+#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n = (BN_ULONG)0;
+#define BN_CP_32_TO_BUF(n) __buf_##n = (a)[(n)];
+#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n;
+#define BN_CASE_32_BIT(n,a) case (n): __buf_##n = (a)[(n)];
+#elif BN_BITS2 == 16
+#define __buf_0_3 (BN_ULONG)0
+#define __buf_0_4 (BN_ULONG)0
+#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
+#define BN_CP_64_TO_BUF(n) __buf_##n##_4 = (a)[4*(n)+3];\
+ __buf_##n##_3 = (a)[4*(n)+2];\
+ __buf_##n##_2 = (a)[4*(n)+1];\
+ __buf_##n##_1 = (a)[4*(n)];
+#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
+ *(a)++ = __buf_##n##_2;\
+ *(a)++ = __buf_##n##_3;\
+ *(a)++ = __buf_##n##_4;
+#define BN_CASE_64_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
+ case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
+ case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
+ case 4*(n): __buf_##n##_1 = (a)[4*(n)];
+#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_2 = (BN_ULONG)0;
+#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[2*(n)];\
+ __buf_##n##_2 = (a)[2*(n)+1];
+#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
+ *(a)++ = __buf_##n##_2;
+#define BN_CASE_32_BIT(n,a) case 2*(n)+1: __buf_##n##_2 = (a)[2*(n)+1];\
+ case 2*(n): __buf_##n##_1 = (a)[2*(n)];
+#elif BN_BITS2 == 8
+#define __buf_0_3 (BN_ULONG)0
+#define __buf_0_4 (BN_ULONG)0
+#define __buf_0_5 (BN_ULONG)0
+#define __buf_0_6 (BN_ULONG)0
+#define __buf_0_7 (BN_ULONG)0
+#define __buf_0_8 (BN_ULONG)0
+#define BN_64_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_4 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_5 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_6 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_7 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_8 = (BN_ULONG)0;
+#define BN_CP_64_TO_BUF(n) __buf_##n##_8 = (a)[8*(n)+7];\
+ __buf_##n##_7 = (a)[8*(n)+6];\
+ __buf_##n##_6 = (a)[8*(n)+5];\
+ __buf_##n##_5 = (a)[8*(n)+4];\
+ __buf_##n##_4 = (a)[8*(n)+3];\
+ __buf_##n##_3 = (a)[8*(n)+2];\
+ __buf_##n##_2 = (a)[8*(n)+1];\
+ __buf_##n##_1 = (a)[8*(n)];
+#define BN_CP_64_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
+ *(a)++ = __buf_##n##_2;\
+ *(a)++ = __buf_##n##_3;\
+ *(a)++ = __buf_##n##_4;\
+ *(a)++ = __buf_##n##_5;\
+ *(a)++ = __buf_##n##_6;\
+ *(a)++ = __buf_##n##_7;\
+ *(a)++ = __buf_##n##_8;
+#define BN_CASE_64_BIT(n,a) case 8*(n)+7: __buf_##n##_8 = (a)[8*(n)+7];\
+ case 8*(n)+6: __buf_##n##_7 = (a)[8*(n)+6];\
+ case 8*(n)+5: __buf_##n##_6 = (a)[8*(n)+5];\
+ case 8*(n)+4: __buf_##n##_5 = (a)[8*(n)+4];\
+ case 8*(n)+3: __buf_##n##_4 = (a)[8*(n)+3];\
+ case 8*(n)+2: __buf_##n##_3 = (a)[8*(n)+2];\
+ case 8*(n)+1: __buf_##n##_2 = (a)[8*(n)+1];\
+ case 8*(n): __buf_##n##_1 = (a)[8*(n)];
+#define BN_32_BIT_BUF(n) BN_ULONG __buf_##n##_1 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_2 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_3 = (BN_ULONG)0;\
+ BN_ULONG __buf_##n##_4 = (BN_ULONG)0;
+#define BN_CP_32_TO_BUF(n) __buf_##n##_1 = (a)[4*(n)];\
+ __buf_##n##_2 = (a)[4*(n)+1];\
+ __buf_##n##_3 = (a)[4*(n)+2];\
+ __buf_##n##_4 = (a)[4*(n)+3];
+#define BN_CP_32_FROM_BUF(a,n) *(a)++ = __buf_##n##_1;\
+ *(a)++ = __buf_##n##_2;\
+ *(a)++ = __buf_##n##_3;\
+ *(a)++ = __buf_##n##_4;
+#define BN_CASE_32_BIT(n,a) case 4*(n)+3: __buf_##n##_4 = (a)[4*(n)+3];\
+ case 4*(n)+2: __buf_##n##_3 = (a)[4*(n)+2];\
+ case 4*(n)+1: __buf_##n##_2 = (a)[4*(n)+1];\
+ case 4*(n): __buf_##n##_1 = (a)[4*(n)];
+#endif
+
+
+#define BN_192_SET(d,a1,a2,a3) \
+ {\
+ register BN_ULONG *td = (d);\
+ BN_CP_64_FROM_BUF(td,a3); BN_CP_64_FROM_BUF(td,a2);\
+ BN_CP_64_FROM_BUF(td,a1);\
+ }
+
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top;
+ BN_ULONG carry = 0;
+ register BN_ULONG *r_d, *a_d;
+ BN_ULONG t_d[BN_NIST_192_TOP];
+ BN_64_BIT_BUF(3) BN_64_BIT_BUF(4)
+ BN_64_BIT_BUF(5)
+
+ top = BN_ucmp(field, a);
+ if (top == 0)
+ return BN_zero(r);
+ else if (top > 0)
+ return (r == a)? 1 : !!BN_copy(r ,a);
+
+ if (r != a)
+ if (!BN_ncopy(r, a, BN_NIST_192_TOP))
+ return 0;
+
+ r_d = r->d;
+ a_d = a->d;
+ top = a->top-1;
+
+ switch (top)
+ {
+ BN_CASE_64_BIT(5, a_d)
+ BN_CASE_64_BIT(4, a_d)
+ BN_CASE_64_BIT(3, a_d)
+ break;
+ default: /* a->top == field->top */
+ return BN_usub(r, a, field);
+ }
+
+ BN_192_SET(t_d,0,3,3)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+ ++carry;
+
+ BN_192_SET(t_d,4,4,0)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP))
+ ++carry;
+
+ BN_192_SET(t_d,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;
+
+#if 0
+ bn_clear_top2max(r);
+#endif
+ bn_fix_top(r);
+
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_192, BN_NIST_192_TOP);
+ bn_fix_top(r);
+ }
+
+ return 1;
+ }
+
+#define BN_224_SET(d,a1,a2,a3,a4,a5,a6,a7) \
+ {\
+ register BN_ULONG *td = (d);\
+ BN_CP_32_FROM_BUF(td,a7); BN_CP_32_FROM_BUF(td,a6);\
+ BN_CP_32_FROM_BUF(td,a5); BN_CP_32_FROM_BUF(td,a4);\
+ BN_CP_32_FROM_BUF(td,a3); BN_CP_32_FROM_BUF(td,a2);\
+ BN_CP_32_FROM_BUF(td,a1);\
+ }
+
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#ifndef NO_32_BIT_TYPE
+ int tmp_int;
+ int carry = 0;
+ BN_ULONG *r_d, *a_d;
+ BN_ULONG t_d[BN_NIST_224_TOP];
+ BN_32_BIT_BUF(7) BN_32_BIT_BUF(8)
+ BN_32_BIT_BUF(9) BN_32_BIT_BUF(10)
+ BN_32_BIT_BUF(11) BN_32_BIT_BUF(12)
+ BN_32_BIT_BUF(13)
+
+ tmp_int = BN_ucmp(field, a);
+ if (tmp_int == 0)
+ return BN_zero(r);
+ else if (tmp_int > 0)
+ return (r == a)? 1 : !!BN_copy(r ,a);
+
+ if (r != a)
+ if (!BN_ncopy(r, a, BN_NIST_224_TOP))
+ return 0;
+
+ r_d = r->d;
+ a_d = a->d;
+
+ tmp_int = a->top-1;
+
+ switch (tmp_int)
+ {
+ BN_CASE_32_BIT(13, a_d)
+ BN_CASE_32_BIT(12, a_d)
+ BN_CASE_32_BIT(11, a_d)
+ BN_CASE_32_BIT(10, a_d)
+ BN_CASE_32_BIT(9, a_d)
+ BN_CASE_32_BIT(8, a_d)
+ BN_CASE_32_BIT(7, a_d)
+ break;
+ default: /* a->top == field->top */
+ return BN_usub(r, a, field);
+ }
+
+ BN_224_SET(t_d,10,9,8,7,0,0,0)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ ++carry;
+ BN_224_SET(t_d,0,13,12,11,0,0,0)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ ++carry;
+ BN_224_SET(t_d,13,12,11,10,9,8,7)
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP))
+ --carry;
+ BN_224_SET(t_d,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;
+#if 0
+ bn_clear_top2max(r);
+#endif
+ bn_fix_top(r);
+
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_224, BN_NIST_224_TOP);
+ bn_fix_top(r);
+ }
+ return 1;
+#else
+ return 0;
+#endif
+ }
+
+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;
+ }
+
+#define BN_256_SET(d,a1,a2,a3,a4,a5,a6,a7,a8) \
+ {\
+ register BN_ULONG *td = (d);\
+ BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
+ BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
+ BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
+ BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
+ }
+
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#ifndef NO_32_BIT_TYPE
+ int tmp_int;
+ int carry = 0;
+ register BN_ULONG *a_d, *r_d;
+ BN_ULONG t_d[BN_NIST_256_TOP];
+ BN_ULONG t_d2[BN_NIST_256_TOP];
+ BN_32_BIT_BUF(8) BN_32_BIT_BUF(9)
+ BN_32_BIT_BUF(10) BN_32_BIT_BUF(11)
+ BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
+ BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
+
+ if (!_is_set_256_data)
+ _init_256_data();
+
+ tmp_int = BN_ucmp(field, a);
+ if (tmp_int == 0)
+ return BN_zero(r);
+ else if (tmp_int > 0)
+ return (r == a)? 1 : !!BN_copy(r ,a);
+
+ if (r != a)
+ if (!BN_ncopy(r, a, BN_NIST_256_TOP))
+ return 0;
+
+ tmp_int = a->top-1;
+
+ a_d = a->d;
+ r_d = r->d;
+ switch (tmp_int)
+ {
+ BN_CASE_32_BIT(15, a_d)
+ BN_CASE_32_BIT(14, a_d)
+ BN_CASE_32_BIT(13, a_d)
+ BN_CASE_32_BIT(12, a_d)
+ BN_CASE_32_BIT(11, a_d)
+ BN_CASE_32_BIT(10, a_d)
+ BN_CASE_32_BIT(9, a_d)
+ BN_CASE_32_BIT(8, a_d)
+ break;
+ default: /* a->top == field->top */
+ return BN_usub(r, a, field);
+ }
+
+ /*S1*/
+ BN_256_SET(t_d,15,14,13,12,11,0,0,0)
+ /*S2*/
+ BN_256_SET(t_d2,0,15,14,13,12,0,0,0)
+ 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 (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
+ {
+ 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*/
+ BN_256_SET(t_d,15,14,0,0,0,10,9,8)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S4*/
+ BN_256_SET(t_d,8,13,15,14,13,11,10,9)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*D1*/
+ BN_256_SET(t_d,10,8,0,0,0,13,12,11)
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D2*/
+ BN_256_SET(t_d,11,9,0,0,15,14,13,12)
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D3*/
+ BN_256_SET(t_d,12,0,10,9,8,15,14,13)
+ if (bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP))
+ --carry;
+ /*D4*/
+ BN_256_SET(t_d,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;
+#if 0
+ bn_clear_top2max(r);
+#endif
+ bn_fix_top(r);
+
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_256, BN_NIST_256_TOP);
+ bn_fix_top(r);
+ }
+ return 1;
+#else
+ return 0;
+#endif
+ }
+
+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;
+ }
+
+#define BN_384_SET(d,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
+ {\
+ register BN_ULONG *td = (d);\
+ BN_CP_32_FROM_BUF(td,a12); BN_CP_32_FROM_BUF(td,a11);\
+ BN_CP_32_FROM_BUF(td,a10); BN_CP_32_FROM_BUF(td,a9);\
+ BN_CP_32_FROM_BUF(td,a8); BN_CP_32_FROM_BUF(td,a7);\
+ BN_CP_32_FROM_BUF(td,a6); BN_CP_32_FROM_BUF(td,a5);\
+ BN_CP_32_FROM_BUF(td,a4); BN_CP_32_FROM_BUF(td,a3);\
+ BN_CP_32_FROM_BUF(td,a2); BN_CP_32_FROM_BUF(td,a1);\
+ }
+
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+#ifndef NO_32_BIT_TYPE
+ int tmp_int;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d;
+ BN_ULONG t_d[BN_NIST_384_TOP];
+ BN_32_BIT_BUF(12) BN_32_BIT_BUF(13)
+ BN_32_BIT_BUF(14) BN_32_BIT_BUF(15)
+ BN_32_BIT_BUF(16) BN_32_BIT_BUF(17)
+ BN_32_BIT_BUF(18) BN_32_BIT_BUF(19)
+ BN_32_BIT_BUF(20) BN_32_BIT_BUF(21)
+ BN_32_BIT_BUF(22) BN_32_BIT_BUF(23)
+
+ if (!_is_set_384_data)
+ _init_384_data();
+
+ tmp_int = BN_ucmp(field, a);
+ if (tmp_int == 0)
+ return BN_zero(r);
+ else if (tmp_int > 0)
+ return (r == a)? 1 : !!BN_copy(r ,a);
+
+ if (r != a)
+ if (!BN_ncopy(r, a, BN_NIST_384_TOP))
+ return 0;
+
+ r_d = r->d;
+ a_d = a->d;
+ tmp_int = a->top-1;
+
+ switch (tmp_int)
+ {
+ BN_CASE_32_BIT(23, a_d)
+ BN_CASE_32_BIT(22, a_d)
+ BN_CASE_32_BIT(21, a_d)
+ BN_CASE_32_BIT(20, a_d)
+ BN_CASE_32_BIT(19, a_d)
+ BN_CASE_32_BIT(18, a_d)
+ BN_CASE_32_BIT(17, a_d)
+ BN_CASE_32_BIT(16, a_d)
+ BN_CASE_32_BIT(15, a_d)
+ BN_CASE_32_BIT(14, a_d)
+ BN_CASE_32_BIT(13, a_d)
+ BN_CASE_32_BIT(12, a_d)
+ break;
+ default: /* a->top == field->top */
+ return BN_usub(r, a, field);
+ }
+
+ /*S1*/
+ BN_256_SET(t_d,0,0,0,0,0,23,22,21)
+ /* left shift */
+ {
+ register BN_ULONG *ap,t,c;
+ ap = t_d;
+ c=0;
+ for (tmp_int=BN_NIST_256_TOP; tmp_int != 0; --tmp_int)
+ {
+ 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*/
+ BN_384_SET(t_d,23,22,21,20,19,18,17,16,15,14,13,12)
+ if (bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP))
+ ++carry;
+ /*S3*/
+ BN_384_SET(t_d,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*/
+ BN_384_SET(t_d,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*/
+ BN_256_SET(t_d,0,0,0,0,23,22,21,20)
+ if (bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP))
+ ++carry;
+ /*S6*/
+ BN_384_SET(t_d,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*/
+ BN_384_SET(t_d,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*/
+ BN_384_SET(t_d,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*/
+ BN_384_SET(t_d,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;
+#if 0
+ bn_clear_top2max(r);
+#endif
+ bn_fix_top(r);
+
+ if (BN_ucmp(r, field) >= 0)
+ {
+ bn_sub_words(r_d, r_d, _nist_p_384, BN_NIST_384_TOP);
+ bn_fix_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);
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (!tmp)
+ goto err;
+
+ if (!BN_ncopy(tmp, a, BN_NIST_521_TOP))
+ return 0;
+ if (!BN_rshift(r, a, 521))
+ return 0;
+
+ if (tmp->top == BN_NIST_521_TOP)
+ tmp->d[BN_NIST_521_TOP-1] &= BN_NIST_521_TOP_MASK;
+
+ if (!BN_uadd(r, tmp, r))
+ return 0;
+ 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_fix_top(r);
+
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+
+ return ret;
+ }
projects / openssl.git / commitdiff