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-rw-r--r--openssl/crypto/bn/bn_nist.c836
1 files changed, 836 insertions, 0 deletions
diff --git a/openssl/crypto/bn/bn_nist.c b/openssl/crypto/bn/bn_nist.c
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+++ b/openssl/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
+
+/* pre-computed tables are "carry-less" values of modulus*(i+1) */
+#if BN_BITS2 == 64
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
+ };
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
+ {0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
+ };
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
+ 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
+ };
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
+ };
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ };
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_521[] =
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL
+ };
+#elif BN_BITS2 == 32
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
+ };
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
+ 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x00000001,0x00000000,0x00000000,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0x00000002,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
+ };
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
+ 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF
+ };
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
+ 0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
+ {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001,
+ 0x00000000,0x00000000,0x00000002,0xFFFFFFFE},
+ {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002,
+ 0x00000000,0x00000000,0x00000003,0xFFFFFFFD},
+ {0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003,
+ 0x00000000,0x00000000,0x00000004,0xFFFFFFFC},
+ {0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
+ 0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
+ };
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
+ 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
+ 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
+ };
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ };
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE,
+ 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000,
+ 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,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};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF
+ };
+#else
+#error "unsupported BN_BITS2"
+#endif
+
+
+static const BIGNUM _bignum_nist_p_192 =
+ {
+ (BN_ULONG *)_nist_p_192[0],
+ BN_NIST_192_TOP,
+ BN_NIST_192_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_224 =
+ {
+ (BN_ULONG *)_nist_p_224[0],
+ BN_NIST_224_TOP,
+ BN_NIST_224_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_256 =
+ {
+ (BN_ULONG *)_nist_p_256[0],
+ BN_NIST_256_TOP,
+ BN_NIST_256_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_384 =
+ {
+ (BN_ULONG *)_nist_p_384[0],
+ BN_NIST_384_TOP,
+ BN_NIST_384_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_521 =
+ {
+ (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP,
+ BN_NIST_521_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+
+const BIGNUM *BN_get0_nist_prime_192(void)
+ {
+ return &_bignum_nist_p_192;
+ }
+
+const BIGNUM *BN_get0_nist_prime_224(void)
+ {
+ return &_bignum_nist_p_224;
+ }
+
+const BIGNUM *BN_get0_nist_prime_256(void)
+ {
+ return &_bignum_nist_p_256;
+ }
+
+const BIGNUM *BN_get0_nist_prime_384(void)
+ {
+ return &_bignum_nist_p_384;
+ }
+
+const BIGNUM *BN_get0_nist_prime_521(void)
+ {
+ return &_bignum_nist_p_521;
+ }
+
+
+static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
+ {
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+
+#ifdef BN_DEBUG
+ OPENSSL_assert(top <= max);
+#endif
+ 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] = (m>=0)?((from)[m]):0;
+#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
+/*
+ * two following macros are implemented under assumption that they
+ * are called in a sequence with *ascending* n, i.e. as they are...
+ */
+#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
+ :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
+#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
+#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
+#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] = (m>=0)?((from)[m]):0;
+#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+#endif
+#endif /* BN_BITS2 != 64 */
+
+
+#define nist_set_192(to, from, a1, a2, a3) \
+ { \
+ bn_cp_64(to, 0, from, (a3) - 3) \
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ bn_cp_64(to, 2, from, (a1) - 3) \
+ }
+
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_192_TOP],
+ buf[BN_NIST_192_TOP],
+ c_d[BN_NIST_192_TOP],
+ *res;
+ size_t mask;
+ static const BIGNUM _bignum_nist_p_192_sqr = {
+ (BN_ULONG *)_nist_p_192_sqr,
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_192; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ 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 (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);
+
+ nist_set_192(t_d, buf, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
+ else
+ carry = 1;
+
+ /*
+ * we need 'if (carry==0 || result>=modulus) result-=modulus;'
+ * as comparison implies subtraction, we can write
+ * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
+ * this is what happens below, but without explicit if:-) a.
+ */
+ mask = 0-(size_t)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
+ r->top = BN_NIST_192_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
+
+#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
+ { \
+ bn_cp_32(to, 0, from, (a7) - 7) \
+ bn_cp_32(to, 1, from, (a6) - 7) \
+ bn_cp_32(to, 2, from, (a5) - 7) \
+ bn_cp_32(to, 3, from, (a4) - 7) \
+ bn_cp_32(to, 4, from, (a3) - 7) \
+ bn_cp_32(to, 5, from, (a2) - 7) \
+ bn_cp_32(to, 6, from, (a1) - 7) \
+ }
+
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_224_TOP],
+ buf[BN_NIST_224_TOP],
+ c_d[BN_NIST_224_TOP],
+ *res;
+ size_t mask;
+ union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_224_sqr = {
+ (BN_ULONG *)_nist_p_224_sqr,
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+
+ field = &_bignum_nist_p_224; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ 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 (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;
+
+#if BN_BITS2==64
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
+ /* ... and right shift by 32 to obtain upper 224 bits */
+ nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
+ /* truncate lower part to 224 bits too */
+ r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
+#else
+ nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
+#endif
+ nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+
+#if BN_BITS2==64
+ carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
+#endif
+ u.f = bn_sub_words;
+ if (carry > 0)
+ {
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
+#if BN_BITS2==64
+ carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
+#endif
+ }
+ else if (carry < 0)
+ {
+ /* it's a bit more comlicated logic in this case.
+ * if bn_add_words yields no carry, then result
+ * has to be adjusted by unconditionally *adding*
+ * the modulus. but if it does, then result has
+ * to be compared to the modulus and conditionally
+ * adjusted by *subtracting* the latter. */
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
+ { \
+ bn_cp_32(to, 0, from, (a8) - 8) \
+ bn_cp_32(to, 1, from, (a7) - 8) \
+ bn_cp_32(to, 2, from, (a6) - 8) \
+ bn_cp_32(to, 3, from, (a5) - 8) \
+ bn_cp_32(to, 4, from, (a4) - 8) \
+ bn_cp_32(to, 5, from, (a3) - 8) \
+ bn_cp_32(to, 6, from, (a2) - 8) \
+ bn_cp_32(to, 7, from, (a1) - 8) \
+ }
+
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ 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],
+ buf[BN_NIST_256_TOP],
+ c_d[BN_NIST_256_TOP],
+ *res;
+ size_t mask;
+ union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_256_sqr = {
+ (BN_ULONG *)_nist_p_256_sqr,
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_256; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ 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 (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(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
+ /* 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;
+ }
+ carry <<= 1;
+ carry |= c;
+ }
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*S3*/
+ nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*S4*/
+ nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D1*/
+ nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D2*/
+ nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D3*/
+ nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D4*/
+ nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
+ else if (carry < 0)
+ {
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
+ r->top = BN_NIST_256_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
+ { \
+ bn_cp_32(to, 0, from, (a12) - 12) \
+ bn_cp_32(to, 1, from, (a11) - 12) \
+ bn_cp_32(to, 2, from, (a10) - 12) \
+ bn_cp_32(to, 3, from, (a9) - 12) \
+ bn_cp_32(to, 4, from, (a8) - 12) \
+ bn_cp_32(to, 5, from, (a7) - 12) \
+ bn_cp_32(to, 6, from, (a6) - 12) \
+ bn_cp_32(to, 7, from, (a5) - 12) \
+ bn_cp_32(to, 8, from, (a4) - 12) \
+ bn_cp_32(to, 9, from, (a3) - 12) \
+ bn_cp_32(to, 10, from, (a2) - 12) \
+ bn_cp_32(to, 11, from, (a1) - 12) \
+ }
+
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ 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],
+ c_d[BN_NIST_384_TOP],
+ *res;
+ size_t mask;
+ union { bn_addsub_f f; size_t p; } u;
+ static const BIGNUM _bignum_nist_p_384_sqr = {
+ (BN_ULONG *)_nist_p_384_sqr,
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+
+ field = &_bignum_nist_p_384; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ 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 (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 = 3; i != 0; --i)
+ {
+ t= *ap;
+ *(ap++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ *ap=c;
+ }
+ carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP);
+ /*S2 */
+ carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
+ /*S3*/
+ nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S4*/
+ nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S5*/
+ nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S6*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D1*/
+ nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D2*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D3*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
+ else if (carry < 0)
+ {
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
+ mask = 0-(size_t)carry;
+ u.p = ((size_t)bn_sub_words&mask) | ((size_t)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ mask = 0-(size_t)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
+ mask &= 0-(size_t)carry;
+ res = (BN_ULONG *)(((size_t)c_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
+ r->top = BN_NIST_384_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define BN_NIST_521_RSHIFT (521%BN_BITS2)
+#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
+#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
+
+int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ BN_ULONG *r_d, *a_d = a->d,
+ t_d[BN_NIST_521_TOP],
+ val,tmp,*res;
+ size_t mask;
+ static const BIGNUM _bignum_nist_p_521_sqr = {
+ (BN_ULONG *)_nist_p_521_sqr,
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_521; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ 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 (r != a)
+ {
+ if (!bn_wexpand(r,BN_NIST_521_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
+ }
+ else
+ r_d = a_d;
+
+ /* upper 521 bits, copy ... */
+ nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
+ /* ... and right shift */
+ for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
+ {
+ tmp = val>>BN_NIST_521_RSHIFT;
+ val = t_d[i+1];
+ t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
+ }
+ t_d[i] = val>>BN_NIST_521_RSHIFT;
+ /* lower 521 bits */
+ r_d[i] &= BN_NIST_521_TOP_MASK;
+
+ bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP);
+ mask = 0-(size_t)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
+ res = (BN_ULONG *)(((size_t)t_d&~mask) | ((size_t)r_d&mask));
+ nist_cp_bn(r_d,res,BN_NIST_521_TOP);
+ r->top = BN_NIST_521_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-02 03:00:13 +0000