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-rw-r--r--crypto/bn/bn_nist.c2039
1 files changed, 1096 insertions, 943 deletions
diff --git a/crypto/bn/bn_nist.c b/crypto/bn/bn_nist.c
index abb1570853ec..4a45404c6f89 100644
--- a/crypto/bn/bn_nist.c
+++ b/crypto/bn/bn_nist.c
@@ -10,7 +10,7 @@
* are met:
*
* 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
+ * 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
@@ -59,265 +59,277 @@
#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
+#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}
- };
+ {0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL, 0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL, 0xFFFFFFFFFFFFFFFCULL, 0xFFFFFFFFFFFFFFFFULL}
+};
+
static const BN_ULONG _nist_p_192_sqr[] = {
- 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
- 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
- };
+ 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" */
- };
+ {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
- };
+ 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},
- };
+ {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
- };
+ 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},
- };
+ {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
- };
+ 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};
+ { 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
- };
+ 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}
- };
+ {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
- };
+ 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}
- };
+ {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
- };
+ 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},
- };
+ {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
- };
+ 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},
- };
+ {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};
+ 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
- };
+ 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"
+# 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
- };
-
+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;
- }
+{
+ return &_bignum_nist_p_192;
+}
const BIGNUM *BN_get0_nist_prime_224(void)
- {
- return &_bignum_nist_p_224;
- }
+{
+ return &_bignum_nist_p_224;
+}
const BIGNUM *BN_get0_nist_prime_256(void)
- {
- return &_bignum_nist_p_256;
- }
+{
+ return &_bignum_nist_p_256;
+}
const BIGNUM *BN_get0_nist_prime_384(void)
- {
- return &_bignum_nist_p_384;
- }
+{
+ return &_bignum_nist_p_384;
+}
const BIGNUM *BN_get0_nist_prime_521(void)
- {
- return &_bignum_nist_p_521;
- }
-
+{
+ return &_bignum_nist_p_521;
+}
static void nist_cp_bn_0(BN_ULONG *dst, const BN_ULONG *src, int top, int max)
- {
- int i;
+{
+ int i;
#ifdef BN_DEBUG
- OPENSSL_assert(top <= max);
+ OPENSSL_assert(top <= max);
#endif
- for (i = 0; i < top; i++)
- dst[i] = src[i];
- for (; i < max; i++)
- dst[i] = 0;
- }
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+ for (; i < max; i++)
+ dst[i] = 0;
+}
static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
- {
- int i;
+{
+ int i;
- for (i = 0; i < top; i++)
- dst[i] = src[i];
- }
+ for (i = 0; i < top; i++)
+ dst[i] = src[i];
+}
#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;
+# 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)
+# 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)
# if defined(L_ENDIAN)
# if defined(__arch64__)
# define NIST_INT64 long
@@ -326,784 +338,925 @@ static void nist_cp_bn(BN_ULONG *dst, const BN_ULONG *src, int top)
# endif
# endif
#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); \
- }
-#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;
+# 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); \
+ }
+# 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;
# if defined(_WIN32) && !defined(__GNUC__)
# define NIST_INT64 __int64
# elif defined(BN_LLONG)
# define NIST_INT64 long long
# endif
-#endif /* BN_BITS2 != 64 */
+#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) \
- }
+ { \
+ 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;
- union {
- BN_ULONG bn[BN_NIST_192_TOP];
- unsigned int ui[BN_NIST_192_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
- } buf;
- BN_ULONG c_d[BN_NIST_192_TOP],
- *res;
- PTR_SIZE_INT 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.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_192_TOP];
+ unsigned int ui[BN_NIST_192_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_192_TOP], *res;
+ PTR_SIZE_INT 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.bn, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP,
+ BN_NIST_192_TOP);
#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int *rp=(unsigned int *)r_d;
- const unsigned int *bp=(const unsigned int *)buf.ui;
-
- acc = rp[0]; acc += bp[3*2-6];
- acc += bp[5*2-6]; rp[0] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[1]; acc += bp[3*2-5];
- acc += bp[5*2-5]; rp[1] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[2]; acc += bp[3*2-6];
- acc += bp[4*2-6];
- acc += bp[5*2-6]; rp[2] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[3]; acc += bp[3*2-5];
- acc += bp[4*2-5];
- acc += bp[5*2-5]; rp[3] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[4]; acc += bp[4*2-6];
- acc += bp[5*2-6]; rp[4] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[5]; acc += bp[4*2-5];
- acc += bp[5*2-5]; rp[5] = (unsigned int)acc;
-
- carry = (int)(acc>>32);
- }
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[3 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[3 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[3 * 2 - 6];
+ acc += bp[4 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[3 * 2 - 5];
+ acc += bp[4 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[4 * 2 - 6];
+ acc += bp[5 * 2 - 6];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[4 * 2 - 5];
+ acc += bp[5 * 2 - 5];
+ rp[5] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
#else
- {
- BN_ULONG t_d[BN_NIST_192_TOP];
-
- nist_set_192(t_d, buf.bn, 0, 3, 3);
- carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, buf.bn, 4, 4, 0);
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- nist_set_192(t_d, buf.bn, 5, 5, 5)
- carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
- }
+ {
+ BN_ULONG t_d[BN_NIST_192_TOP];
+
+ nist_set_192(t_d, buf.bn, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf.bn, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ }
#endif
- 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-(PTR_SIZE_INT)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
- mask &= 0-(PTR_SIZE_INT)carry;
- res = c_d;
- res = (BN_ULONG *)
- (((PTR_SIZE_INT)res&~mask) | ((PTR_SIZE_INT)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);
+ 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 - (PTR_SIZE_INT) bn_sub_words(c_d, r_d, _nist_p_192[0],
+ BN_NIST_192_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)
+ (((PTR_SIZE_INT) res & ~mask) | ((PTR_SIZE_INT) 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) \
- }
+ { \
+ 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;
- union {
- BN_ULONG bn[BN_NIST_224_TOP];
- unsigned int ui[BN_NIST_224_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
- } buf;
- BN_ULONG c_d[BN_NIST_224_TOP],
- *res;
- PTR_SIZE_INT mask;
- union { bn_addsub_f f; PTR_SIZE_INT 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;
+ BN_CTX *ctx)
+{
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_224_TOP];
+ unsigned int ui[BN_NIST_224_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_224_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT 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(c_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.bn, c_d, 14, 13, 12, 11, 10, 9, 8);
- /* truncate lower part to 224 bits too */
- r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(c_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.bn, c_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.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
+ nist_cp_bn_0(buf.bn, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP,
+ BN_NIST_224_TOP);
#endif
#if defined(NIST_INT64) && BN_BITS2!=64
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int *rp=(unsigned int *)r_d;
- const unsigned int *bp=(const unsigned int *)buf.ui;
-
- acc = rp[0]; acc -= bp[7-7];
- acc -= bp[11-7]; rp[0] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[1]; acc -= bp[8-7];
- acc -= bp[12-7]; rp[1] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[2]; acc -= bp[9-7];
- acc -= bp[13-7]; rp[2] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[3]; acc += bp[7-7];
- acc += bp[11-7];
- acc -= bp[10-7]; rp[3] = (unsigned int)acc; acc>>= 32;
-
- acc += rp[4]; acc += bp[8-7];
- acc += bp[12-7];
- acc -= bp[11-7]; rp[4] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[5]; acc += bp[9-7];
- acc += bp[13-7];
- acc -= bp[12-7]; rp[5] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[6]; acc += bp[10-7];
- acc -= bp[13-7]; rp[6] = (unsigned int)acc;
-
- carry = (int)(acc>>32);
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc -= bp[7 - 7];
+ acc -= bp[11 - 7];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc -= bp[8 - 7];
+ acc -= bp[12 - 7];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc -= bp[9 - 7];
+ acc -= bp[13 - 7];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[7 - 7];
+ acc += bp[11 - 7];
+ acc -= bp[10 - 7];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[8 - 7];
+ acc += bp[12 - 7];
+ acc -= bp[11 - 7];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[9 - 7];
+ acc += bp[13 - 7];
+ acc -= bp[12 - 7];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[10 - 7];
+ acc -= bp[13 - 7];
+ rp[6] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
# if BN_BITS2==64
- rp[7] = carry;
+ rp[7] = carry;
# endif
- }
+ }
#else
- {
- BN_ULONG t_d[BN_NIST_224_TOP];
-
- nist_set_224(t_d, buf.bn, 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.bn, 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.bn, 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.bn, 0, 0, 0, 0, 13, 12, 11);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ {
+ BN_ULONG t_d[BN_NIST_224_TOP];
+
+ nist_set_224(t_d, buf.bn, 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.bn, 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.bn, 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.bn, 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
- }
+# if BN_BITS2==64
+ carry = (int)(r_d[BN_NIST_224_TOP - 1] >> 32);
+# endif
+ }
#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);
+ 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;
+ 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-(PTR_SIZE_INT)carry;
- u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
- ((PTR_SIZE_INT)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- /* otherwise it's effectively same as in BN_nist_mod_192... */
- mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
- mask &= 0-(PTR_SIZE_INT)carry;
- res = c_d;
- res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
- ((PTR_SIZE_INT)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;
- }
+ } 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 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_224[0], BN_NIST_224_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) 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) \
- }
+ { \
+ 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;
- union {
- BN_ULONG bn[BN_NIST_256_TOP];
- unsigned int ui[BN_NIST_256_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
- } buf;
- BN_ULONG c_d[BN_NIST_256_TOP],
- *res;
- PTR_SIZE_INT mask;
- union { bn_addsub_f f; PTR_SIZE_INT 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.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *a_d = a->d, *r_d;
+ union {
+ BN_ULONG bn[BN_NIST_256_TOP];
+ unsigned int ui[BN_NIST_256_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_256_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT 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.bn, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP,
+ BN_NIST_256_TOP);
#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int *rp=(unsigned int *)r_d;
- const unsigned int *bp=(const unsigned int *)buf.ui;
-
- acc = rp[0]; acc += bp[8-8];
- acc += bp[9-8];
- acc -= bp[11-8];
- acc -= bp[12-8];
- acc -= bp[13-8];
- acc -= bp[14-8]; rp[0] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[1]; acc += bp[9-8];
- acc += bp[10-8];
- acc -= bp[12-8];
- acc -= bp[13-8];
- acc -= bp[14-8];
- acc -= bp[15-8]; rp[1] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[2]; acc += bp[10-8];
- acc += bp[11-8];
- acc -= bp[13-8];
- acc -= bp[14-8];
- acc -= bp[15-8]; rp[2] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[3]; acc += bp[11-8];
- acc += bp[11-8];
- acc += bp[12-8];
- acc += bp[12-8];
- acc += bp[13-8];
- acc -= bp[15-8];
- acc -= bp[8-8];
- acc -= bp[9-8]; rp[3] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[4]; acc += bp[12-8];
- acc += bp[12-8];
- acc += bp[13-8];
- acc += bp[13-8];
- acc += bp[14-8];
- acc -= bp[9-8];
- acc -= bp[10-8]; rp[4] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[5]; acc += bp[13-8];
- acc += bp[13-8];
- acc += bp[14-8];
- acc += bp[14-8];
- acc += bp[15-8];
- acc -= bp[10-8];
- acc -= bp[11-8]; rp[5] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[6]; acc += bp[14-8];
- acc += bp[14-8];
- acc += bp[15-8];
- acc += bp[15-8];
- acc += bp[14-8];
- acc += bp[13-8];
- acc -= bp[8-8];
- acc -= bp[9-8]; rp[6] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[7]; acc += bp[15-8];
- acc += bp[15-8];
- acc += bp[15-8];
- acc += bp[8 -8];
- acc -= bp[10-8];
- acc -= bp[11-8];
- acc -= bp[12-8];
- acc -= bp[13-8]; rp[7] = (unsigned int)acc;
-
- carry = (int)(acc>>32);
- }
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[8 - 8];
+ acc += bp[9 - 8];
+ acc -= bp[11 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[9 - 8];
+ acc += bp[10 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ acc -= bp[15 - 8];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[10 - 8];
+ acc += bp[11 - 8];
+ acc -= bp[13 - 8];
+ acc -= bp[14 - 8];
+ acc -= bp[15 - 8];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[11 - 8];
+ acc += bp[11 - 8];
+ acc += bp[12 - 8];
+ acc += bp[12 - 8];
+ acc += bp[13 - 8];
+ acc -= bp[15 - 8];
+ acc -= bp[8 - 8];
+ acc -= bp[9 - 8];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[12 - 8];
+ acc += bp[12 - 8];
+ acc += bp[13 - 8];
+ acc += bp[13 - 8];
+ acc += bp[14 - 8];
+ acc -= bp[9 - 8];
+ acc -= bp[10 - 8];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[13 - 8];
+ acc += bp[13 - 8];
+ acc += bp[14 - 8];
+ acc += bp[14 - 8];
+ acc += bp[15 - 8];
+ acc -= bp[10 - 8];
+ acc -= bp[11 - 8];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[14 - 8];
+ acc += bp[14 - 8];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[14 - 8];
+ acc += bp[13 - 8];
+ acc -= bp[8 - 8];
+ acc -= bp[9 - 8];
+ rp[6] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[7];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[15 - 8];
+ acc += bp[8 - 8];
+ acc -= bp[10 - 8];
+ acc -= bp[11 - 8];
+ acc -= bp[12 - 8];
+ acc -= bp[13 - 8];
+ rp[7] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
#else
- {
- BN_ULONG t_d[BN_NIST_256_TOP];
-
- /*S1*/
- nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0);
- /*S2*/
- nist_set_256(c_d, buf.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 13, 0, 11, 10, 9, 0, 15, 14);
- carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
-
- }
+ {
+ BN_ULONG t_d[BN_NIST_256_TOP];
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf.bn, 15, 14, 13, 12, 11, 0, 0, 0);
+ /*
+ * S2
+ */
+ nist_set_256(c_d, buf.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ }
#endif
- /* 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-(PTR_SIZE_INT)carry;
- u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
- ((PTR_SIZE_INT)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
- mask &= 0-(PTR_SIZE_INT)carry;
- res = c_d;
- res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
- ((PTR_SIZE_INT)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;
- }
+ /* 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 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_256[0], BN_NIST_256_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) 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) \
- }
+ { \
+ 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;
- union {
- BN_ULONG bn[BN_NIST_384_TOP];
- unsigned int ui[BN_NIST_384_TOP*sizeof(BN_ULONG)/sizeof(unsigned int)];
- } buf;
- BN_ULONG c_d[BN_NIST_384_TOP],
- *res;
- PTR_SIZE_INT mask;
- union { bn_addsub_f f; PTR_SIZE_INT 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.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
+ BN_CTX *ctx)
+{
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ union {
+ BN_ULONG bn[BN_NIST_384_TOP];
+ unsigned int ui[BN_NIST_384_TOP * sizeof(BN_ULONG) /
+ sizeof(unsigned int)];
+ } buf;
+ BN_ULONG c_d[BN_NIST_384_TOP], *res;
+ PTR_SIZE_INT mask;
+ union {
+ bn_addsub_f f;
+ PTR_SIZE_INT 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.bn, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP,
+ BN_NIST_384_TOP);
#if defined(NIST_INT64)
- {
- NIST_INT64 acc; /* accumulator */
- unsigned int *rp=(unsigned int *)r_d;
- const unsigned int *bp=(const unsigned int *)buf.ui;
-
- acc = rp[0]; acc += bp[12-12];
- acc += bp[21-12];
- acc += bp[20-12];
- acc -= bp[23-12]; rp[0] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[1]; acc += bp[13-12];
- acc += bp[22-12];
- acc += bp[23-12];
- acc -= bp[12-12];
- acc -= bp[20-12]; rp[1] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[2]; acc += bp[14-12];
- acc += bp[23-12];
- acc -= bp[13-12];
- acc -= bp[21-12]; rp[2] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[3]; acc += bp[15-12];
- acc += bp[12-12];
- acc += bp[20-12];
- acc += bp[21-12];
- acc -= bp[14-12];
- acc -= bp[22-12];
- acc -= bp[23-12]; rp[3] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[4]; acc += bp[21-12];
- acc += bp[21-12];
- acc += bp[16-12];
- acc += bp[13-12];
- acc += bp[12-12];
- acc += bp[20-12];
- acc += bp[22-12];
- acc -= bp[15-12];
- acc -= bp[23-12];
- acc -= bp[23-12]; rp[4] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[5]; acc += bp[22-12];
- acc += bp[22-12];
- acc += bp[17-12];
- acc += bp[14-12];
- acc += bp[13-12];
- acc += bp[21-12];
- acc += bp[23-12];
- acc -= bp[16-12]; rp[5] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[6]; acc += bp[23-12];
- acc += bp[23-12];
- acc += bp[18-12];
- acc += bp[15-12];
- acc += bp[14-12];
- acc += bp[22-12];
- acc -= bp[17-12]; rp[6] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[7]; acc += bp[19-12];
- acc += bp[16-12];
- acc += bp[15-12];
- acc += bp[23-12];
- acc -= bp[18-12]; rp[7] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[8]; acc += bp[20-12];
- acc += bp[17-12];
- acc += bp[16-12];
- acc -= bp[19-12]; rp[8] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[9]; acc += bp[21-12];
- acc += bp[18-12];
- acc += bp[17-12];
- acc -= bp[20-12]; rp[9] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[10]; acc += bp[22-12];
- acc += bp[19-12];
- acc += bp[18-12];
- acc -= bp[21-12]; rp[10] = (unsigned int)acc; acc >>= 32;
-
- acc += rp[11]; acc += bp[23-12];
- acc += bp[20-12];
- acc += bp[19-12];
- acc -= bp[22-12]; rp[11] = (unsigned int)acc;
-
- carry = (int)(acc>>32);
- }
+ {
+ NIST_INT64 acc; /* accumulator */
+ unsigned int *rp = (unsigned int *)r_d;
+ const unsigned int *bp = (const unsigned int *)buf.ui;
+
+ acc = rp[0];
+ acc += bp[12 - 12];
+ acc += bp[21 - 12];
+ acc += bp[20 - 12];
+ acc -= bp[23 - 12];
+ rp[0] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[1];
+ acc += bp[13 - 12];
+ acc += bp[22 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[12 - 12];
+ acc -= bp[20 - 12];
+ rp[1] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[2];
+ acc += bp[14 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[13 - 12];
+ acc -= bp[21 - 12];
+ rp[2] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[3];
+ acc += bp[15 - 12];
+ acc += bp[12 - 12];
+ acc += bp[20 - 12];
+ acc += bp[21 - 12];
+ acc -= bp[14 - 12];
+ acc -= bp[22 - 12];
+ acc -= bp[23 - 12];
+ rp[3] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[4];
+ acc += bp[21 - 12];
+ acc += bp[21 - 12];
+ acc += bp[16 - 12];
+ acc += bp[13 - 12];
+ acc += bp[12 - 12];
+ acc += bp[20 - 12];
+ acc += bp[22 - 12];
+ acc -= bp[15 - 12];
+ acc -= bp[23 - 12];
+ acc -= bp[23 - 12];
+ rp[4] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[5];
+ acc += bp[22 - 12];
+ acc += bp[22 - 12];
+ acc += bp[17 - 12];
+ acc += bp[14 - 12];
+ acc += bp[13 - 12];
+ acc += bp[21 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[16 - 12];
+ rp[5] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[6];
+ acc += bp[23 - 12];
+ acc += bp[23 - 12];
+ acc += bp[18 - 12];
+ acc += bp[15 - 12];
+ acc += bp[14 - 12];
+ acc += bp[22 - 12];
+ acc -= bp[17 - 12];
+ rp[6] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[7];
+ acc += bp[19 - 12];
+ acc += bp[16 - 12];
+ acc += bp[15 - 12];
+ acc += bp[23 - 12];
+ acc -= bp[18 - 12];
+ rp[7] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[8];
+ acc += bp[20 - 12];
+ acc += bp[17 - 12];
+ acc += bp[16 - 12];
+ acc -= bp[19 - 12];
+ rp[8] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[9];
+ acc += bp[21 - 12];
+ acc += bp[18 - 12];
+ acc += bp[17 - 12];
+ acc -= bp[20 - 12];
+ rp[9] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[10];
+ acc += bp[22 - 12];
+ acc += bp[19 - 12];
+ acc += bp[18 - 12];
+ acc -= bp[21 - 12];
+ rp[10] = (unsigned int)acc;
+ acc >>= 32;
+
+ acc += rp[11];
+ acc += bp[23 - 12];
+ acc += bp[20 - 12];
+ acc += bp[19 - 12];
+ acc -= bp[22 - 12];
+ rp[11] = (unsigned int)acc;
+
+ carry = (int)(acc >> 32);
+ }
#else
- {
- BN_ULONG t_d[BN_NIST_384_TOP];
-
- /*S1*/
- nist_set_256(t_d, buf.bn, 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, BN_NIST_384_TOP);
- /*S3*/
- nist_set_384(t_d,buf.bn,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.bn,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.bn,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.bn,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.bn,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.bn,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.bn,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);
-
- }
+ {
+ BN_ULONG t_d[BN_NIST_384_TOP];
+
+ /*
+ * S1
+ */
+ nist_set_256(t_d, buf.bn, 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, BN_NIST_384_TOP);
+ /*
+ * S3
+ */
+ nist_set_384(t_d, buf.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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.bn, 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);
+
+ }
#endif
- /* 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-(PTR_SIZE_INT)carry;
- u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
- ((PTR_SIZE_INT)bn_add_words&~mask);
- }
- else
- carry = 1;
-
- mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
- mask &= 0-(PTR_SIZE_INT)carry;
- res = c_d;
- res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
- ((PTR_SIZE_INT)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)
+ /* 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 - (PTR_SIZE_INT) carry;
+ u.p = ((PTR_SIZE_INT) bn_sub_words & mask) |
+ ((PTR_SIZE_INT) bn_add_words & ~mask);
+ } else
+ carry = 1;
+
+ mask =
+ 0 - (PTR_SIZE_INT) (*u.f) (c_d, r_d, _nist_p_384[0], BN_NIST_384_TOP);
+ mask &= 0 - (PTR_SIZE_INT) carry;
+ res = c_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) 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;
- PTR_SIZE_INT 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++)
- {
- t_d[i] = ( val>>BN_NIST_521_RSHIFT |
- (tmp=t_d[i+1])<<BN_NIST_521_LSHIFT ) & BN_MASK2;
- val=tmp;
- }
- 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-(PTR_SIZE_INT)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
- res = t_d;
- res = (BN_ULONG *)(((PTR_SIZE_INT)res&~mask) |
- ((PTR_SIZE_INT)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;
- }
+ 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;
+ PTR_SIZE_INT 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++) {
+ t_d[i] = (val >> BN_NIST_521_RSHIFT |
+ (tmp = t_d[i + 1]) << BN_NIST_521_LSHIFT) & BN_MASK2;
+ val = tmp;
+ }
+ 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 - (PTR_SIZE_INT) bn_sub_words(t_d, r_d, _nist_p_521,
+ BN_NIST_521_TOP);
+ res = t_d;
+ res = (BN_ULONG *)(((PTR_SIZE_INT) res & ~mask) |
+ ((PTR_SIZE_INT) 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;
+}