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-rw-r--r--src/Common/GfMul.c1536
1 files changed, 768 insertions, 768 deletions
diff --git a/src/Common/GfMul.c b/src/Common/GfMul.c
index e933e56b..9cd74a89 100644
--- a/src/Common/GfMul.c
+++ b/src/Common/GfMul.c
@@ -1,768 +1,768 @@
-/*
- ---------------------------------------------------------------------------
- Copyright (c) 2003, Dr Brian Gladman, Worcester, UK. All rights reserved.
-
- LICENSE TERMS
-
- The free distribution and use of this software is allowed (with or without
- changes) provided that:
-
- 1. source code distributions include the above copyright notice, this
- list of conditions and the following disclaimer;
-
- 2. binary distributions include the above copyright notice, this list
- of conditions and the following disclaimer in their documentation;
-
- 3. the name of the copyright holder is not used to endorse products
- built using this software without specific written permission.
-
- DISCLAIMER
-
- This software is provided 'as is' with no explicit or implied warranties
- in respect of its properties, including, but not limited to, correctness
- and/or fitness for purpose.
- ---------------------------------------------------------------------------
- Issue Date: 31/01/2004
-
- My thanks to John Viega and David McGrew for their support in developing
- this code and to David for testing it on a big-endain system.
-*/
-
-/*
- ---------------------------------------------------------------------------
- Portions Copyright (c) 2005 TrueCrypt Developers Association
-
- Changes:
-
- - Added multiplication in the finite field GF(2^128) optimized for
- cases involving a 64-bit operand.
-
- - Added multiplication in the finite field GF(2^64).
-
- - Added MSB-first mode.
-
- - Added basic test algorithms.
-
- - Removed GCM.
- ---------------------------------------------------------------------------
-*/
-
-#include <memory.h>
-#include <stdlib.h>
-#include "GfMul.h"
-#include "Tcdefs.h"
-#include "Common/Endian.h"
-
-/* BUFFER_ALIGN32 or BUFFER_ALIGN64 must be defined at this point to */
-/* enable faster operation by taking advantage of memory aligned values */
-/* NOTE: the BUFFER_ALIGN64 option has not been tested extensively */
-
-#define BUFFER_ALIGN32
-#define UNROLL_LOOPS /* define to unroll some loops */
-#define IN_LINES /* define to use inline functions */
- /* in place of macros */
-
-#define mode(x) GM_##x
-
-#if defined(__cplusplus)
-extern "C"
-{
-#endif
-
-typedef unsigned __int32 mode(32t);
-typedef uint64 mode(64t);
-
-#define BRG_LITTLE_ENDIAN 1234 /* byte 0 is least significant (i386) */
-#define BRG_BIG_ENDIAN 4321 /* byte 0 is most significant (mc68k) */
-
-#if BYTE_ORDER == LITTLE_ENDIAN
-# define PLATFORM_BYTE_ORDER BRG_LITTLE_ENDIAN
-#endif
-
-#if BYTE_ORDER == BIG_ENDIAN
-# define PLATFORM_BYTE_ORDER BRG_BIG_ENDIAN
-#endif
-
-#ifdef _MSC_VER
-#pragma intrinsic(memcpy)
-#define in_line __inline
-#else
-#define in_line
-#endif
-
-#if 0 && defined(_MSC_VER)
-#define rotl32 _lrotl
-#define rotr32 _lrotr
-#else
-#define rotl32(x,n) (((x) << n) | ((x) >> (32 - n)))
-#define rotr32(x,n) (((x) >> n) | ((x) << (32 - n)))
-#endif
-
-#if !defined(bswap_32)
-#define bswap_32(x) ((rotr32((x), 24) & 0x00ff00ff) | (rotr32((x), 8) & 0xff00ff00))
-#endif
-
-#if (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
-#define SWAP_BYTES
-#else
-#undef SWAP_BYTES
-#endif
-
-#if defined(SWAP_BYTES)
-
-#if defined ( IN_LINES )
-
-in_line void bsw_32(void * p, unsigned int n)
-{ unsigned int i = n;
- while(i--)
- ((mode(32t)*)p)[i] = bswap_32(((mode(32t)*)p)[i]);
-}
-
-#else
-
-#define bsw_32(p,n) \
- { int _i = (n); while(_i--) ((mode(32t)*)p)[_i] = bswap_32(((mode(32t)*)p)[_i]); }
-
-#endif
-
-#else
-#define bsw_32(p,n)
-#endif
-
-/* These values are used to detect long word alignment in order */
-/* to speed up some GCM buffer operations. This facility may */
-/* not work on some machines */
-
-#define lp08(x) ((unsigned char*)(x))
-#define lp32(x) ((mode(32t)*)(x))
-#define lp64(x) ((mode(64t)*)(x))
-
-#define A32_MASK 3
-#define A64_MASK 7
-#define aligned32(x) (!(((mode(32t))(x)) & A32_MASK))
-#define aligned64(x) (!(((mode(32t))(x)) & A64_MASK))
-
-#if defined( BUFFER_ALIGN32 )
-
-#define ADR_MASK A32_MASK
-#define aligned aligned32
-#define lp lp32
-#define lp_inc 4
-
-#if defined( IN_LINES )
-
-in_line void move_block_aligned( void *p, const void *q)
-{
- lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1],
- lp32(p)[2] = lp32(q)[2], lp32(p)[3] = lp32(q)[3];
-}
-
-in_line void move_block_aligned64( void *p, const void *q)
-{
- lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1];
-}
-
-in_line void xor_block_aligned( void *p, const void *q)
-{
- lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1],
- lp32(p)[2] ^= lp32(q)[2], lp32(p)[3] ^= lp32(q)[3];
-}
-
-in_line void xor_block_aligned64( void *p, const void *q)
-{
- lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1];
-}
-
-#else
-
-#define move_block_aligned(p,q) \
- lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1], \
- lp32(p)[2] = lp32(q)[2], lp32(p)[3] = lp32(q)[3]
-
-#define xor_block_aligned(p,q) \
- lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1], \
- lp32(p)[2] ^= lp32(q)[2], lp32(p)[3] ^= lp32(q)[3]
-
-#endif
-
-#elif defined( BUFFER_ALIGN64 )
-
-#define ADR_MASK A64_MASK
-#define aligned aligned64
-#define lp lp64
-#define lp_inc 8
-
-#define move_block_aligned(p,q) \
- lp64(p)[0] = lp64(q)[0], lp64(p)[1] = lp64(q)[1]
-
-#define xor_block_aligned(p,q) \
- lp64(p)[0] ^= lp64(q)[0], lp64(p)[1] ^= lp64(q)[1]
-
-#else
-#define aligned(x) 0
-#endif
-
-#define move_block(p,q) memcpy((p), (q), BLOCK_LEN)
-
-#define xor_block(p,q) \
- lp08(p)[ 0] ^= lp08(q)[ 0], lp08(p)[ 1] ^= lp08(q)[ 1], \
- lp08(p)[ 2] ^= lp08(q)[ 2], lp08(p)[ 3] ^= lp08(q)[ 3], \
- lp08(p)[ 4] ^= lp08(q)[ 4], lp08(p)[ 5] ^= lp08(q)[ 5], \
- lp08(p)[ 6] ^= lp08(q)[ 6], lp08(p)[ 7] ^= lp08(q)[ 7], \
- lp08(p)[ 8] ^= lp08(q)[ 8], lp08(p)[ 9] ^= lp08(q)[ 9], \
- lp08(p)[10] ^= lp08(q)[10], lp08(p)[11] ^= lp08(q)[11], \
- lp08(p)[12] ^= lp08(q)[12], lp08(p)[13] ^= lp08(q)[13], \
- lp08(p)[14] ^= lp08(q)[14], lp08(p)[15] ^= lp08(q)[15]
-
-
-#define gf_dat(q) {\
- q(0x00), q(0x01), q(0x02), q(0x03), q(0x04), q(0x05), q(0x06), q(0x07),\
- q(0x08), q(0x09), q(0x0a), q(0x0b), q(0x0c), q(0x0d), q(0x0e), q(0x0f),\
- q(0x10), q(0x11), q(0x12), q(0x13), q(0x14), q(0x15), q(0x16), q(0x17),\
- q(0x18), q(0x19), q(0x1a), q(0x1b), q(0x1c), q(0x1d), q(0x1e), q(0x1f),\
- q(0x20), q(0x21), q(0x22), q(0x23), q(0x24), q(0x25), q(0x26), q(0x27),\
- q(0x28), q(0x29), q(0x2a), q(0x2b), q(0x2c), q(0x2d), q(0x2e), q(0x2f),\
- q(0x30), q(0x31), q(0x32), q(0x33), q(0x34), q(0x35), q(0x36), q(0x37),\
- q(0x38), q(0x39), q(0x3a), q(0x3b), q(0x3c), q(0x3d), q(0x3e), q(0x3f),\
- q(0x40), q(0x41), q(0x42), q(0x43), q(0x44), q(0x45), q(0x46), q(0x47),\
- q(0x48), q(0x49), q(0x4a), q(0x4b), q(0x4c), q(0x4d), q(0x4e), q(0x4f),\
- q(0x50), q(0x51), q(0x52), q(0x53), q(0x54), q(0x55), q(0x56), q(0x57),\
- q(0x58), q(0x59), q(0x5a), q(0x5b), q(0x5c), q(0x5d), q(0x5e), q(0x5f),\
- q(0x60), q(0x61), q(0x62), q(0x63), q(0x64), q(0x65), q(0x66), q(0x67),\
- q(0x68), q(0x69), q(0x6a), q(0x6b), q(0x6c), q(0x6d), q(0x6e), q(0x6f),\
- q(0x70), q(0x71), q(0x72), q(0x73), q(0x74), q(0x75), q(0x76), q(0x77),\
- q(0x78), q(0x79), q(0x7a), q(0x7b), q(0x7c), q(0x7d), q(0x7e), q(0x7f),\
- q(0x80), q(0x81), q(0x82), q(0x83), q(0x84), q(0x85), q(0x86), q(0x87),\
- q(0x88), q(0x89), q(0x8a), q(0x8b), q(0x8c), q(0x8d), q(0x8e), q(0x8f),\
- q(0x90), q(0x91), q(0x92), q(0x93), q(0x94), q(0x95), q(0x96), q(0x97),\
- q(0x98), q(0x99), q(0x9a), q(0x9b), q(0x9c), q(0x9d), q(0x9e), q(0x9f),\
- q(0xa0), q(0xa1), q(0xa2), q(0xa3), q(0xa4), q(0xa5), q(0xa6), q(0xa7),\
- q(0xa8), q(0xa9), q(0xaa), q(0xab), q(0xac), q(0xad), q(0xae), q(0xaf),\
- q(0xb0), q(0xb1), q(0xb2), q(0xb3), q(0xb4), q(0xb5), q(0xb6), q(0xb7),\
- q(0xb8), q(0xb9), q(0xba), q(0xbb), q(0xbc), q(0xbd), q(0xbe), q(0xbf),\
- q(0xc0), q(0xc1), q(0xc2), q(0xc3), q(0xc4), q(0xc5), q(0xc6), q(0xc7),\
- q(0xc8), q(0xc9), q(0xca), q(0xcb), q(0xcc), q(0xcd), q(0xce), q(0xcf),\
- q(0xd0), q(0xd1), q(0xd2), q(0xd3), q(0xd4), q(0xd5), q(0xd6), q(0xd7),\
- q(0xd8), q(0xd9), q(0xda), q(0xdb), q(0xdc), q(0xdd), q(0xde), q(0xdf),\
- q(0xe0), q(0xe1), q(0xe2), q(0xe3), q(0xe4), q(0xe5), q(0xe6), q(0xe7),\
- q(0xe8), q(0xe9), q(0xea), q(0xeb), q(0xec), q(0xed), q(0xee), q(0xef),\
- q(0xf0), q(0xf1), q(0xf2), q(0xf3), q(0xf4), q(0xf5), q(0xf6), q(0xf7),\
- q(0xf8), q(0xf9), q(0xfa), q(0xfb), q(0xfc), q(0xfd), q(0xfe), q(0xff) }
-
-/* given the value i in 0..255 as the byte overflow when a a field */
-/* element in GHASH is multipled by x^8, this function will return */
-/* the values that are generated in the lo 16-bit word of the field */
-/* value by applying the modular polynomial. The values lo_byte and */
-/* hi_byte are returned via the macro xp_fun(lo_byte, hi_byte) so */
-/* that the values can be assembled into memory as required by a */
-/* suitable definition of this macro operating on the table above */
-
-#define xp(i) xp_fun( \
- (i & 0x80 ? 0xe1 : 0) ^ (i & 0x40 ? 0x70 : 0) ^ \
- (i & 0x20 ? 0x38 : 0) ^ (i & 0x10 ? 0x1c : 0) ^ \
- (i & 0x08 ? 0x0e : 0) ^ (i & 0x04 ? 0x07 : 0) ^ \
- (i & 0x02 ? 0x03 : 0) ^ (i & 0x01 ? 0x01 : 0), \
- (i & 0x80 ? 0x00 : 0) ^ (i & 0x40 ? 0x80 : 0) ^ \
- (i & 0x20 ? 0x40 : 0) ^ (i & 0x10 ? 0x20 : 0) ^ \
- (i & 0x08 ? 0x10 : 0) ^ (i & 0x04 ? 0x08 : 0) ^ \
- (i & 0x02 ? 0x84 : 0) ^ (i & 0x01 ? 0xc2 : 0) )
-
-#define xp64(i) xp_fun( \
- (i & 0x80 ? 0xd8 : 0) ^ (i & 0x40 ? 0x6c : 0) ^ \
- (i & 0x20 ? 0x36 : 0) ^ (i & 0x10 ? 0x1b : 0) ^ \
- (i & 0x08 ? 0x0d : 0) ^ (i & 0x04 ? 0x06 : 0) ^ \
- (i & 0x02 ? 0x03 : 0) ^ (i & 0x01 ? 0x01 : 0), \
- (i & 0x80 ? 0x00 : 0) ^ (i & 0x40 ? 0x00 : 0) ^ \
- (i & 0x20 ? 0x00 : 0) ^ (i & 0x10 ? 0x00 : 0) ^ \
- (i & 0x08 ? 0x80 : 0) ^ (i & 0x04 ? 0xc0 : 0) ^ \
- (i & 0x02 ? 0x60 : 0) ^ (i & 0x01 ? 0xb0 : 0) )
-
-static mode(32t) gf_poly[2] = { 0, 0xe1000000 };
-static mode(32t) gf_poly64[2] = { 0, 0xd8000000 };
-
-/* Multiply of a GF128 field element by x. The field element */
-/* is held in an array of bytes in which field bits 8n..8n + 7 */
-/* are held in byte[n], with lower indexed bits placed in the */
-/* more numerically significant bit positions in bytes. */
-
-/* This function multiples a field element x, in the polynomial */
-/* field representation. It uses 32-bit word operations to gain */
-/* speed but compensates for machine endianess and hence works */
-/* correctly on both styles of machine */
-
-in_line void mul_x(mode(32t) x[4])
-{ mode(32t) t;
-
- bsw_32(x, 4);
-
- /* at this point the filed element bits 0..127 are set out */
- /* as follows in 32-bit words (where the most significant */
- /* (ms) numeric bits are to the left) */
- /* */
- /* x[0] x[1] x[2] x[3] */
- /* ms ls ms ls ms ls ms ls */
- /* field: 0 ... 31 32 .. 63 64 .. 95 96 .. 127 */
-
- t = gf_poly[x[3] & 1]; /* bit 127 of the element */
- x[3] = (x[3] >> 1) | (x[2] << 31); /* shift bits up by one */
- x[2] = (x[2] >> 1) | (x[1] << 31); /* position */
- x[1] = (x[1] >> 1) | (x[0] << 31); /* if bit 7 is 1 xor in */
- x[0] = (x[0] >> 1) ^ t; /* the field polynomial */
- bsw_32(x, 4);
-}
-
-in_line void mul_x64(mode(32t) x[2])
-{ mode(32t) t;
-
- bsw_32(x, 2);
-
- /* at this point the filed element bits 0..127 are set out */
- /* as follows in 32-bit words (where the most significant */
- /* (ms) numeric bits are to the left) */
- /* */
- /* x[0] x[1] x[2] x[3] */
- /* ms ls ms ls ms ls ms ls */
- /* field: 0 ... 31 32 .. 63 64 .. 95 96 .. 127 */
-
- t = gf_poly64[x[1] & 1]; /* bit 127 of the element */
- /* shift bits up by one */
- /* position */
- x[1] = (x[1] >> 1) | (x[0] << 31); /* if bit 7 is 1 xor in */
- x[0] = (x[0] >> 1) ^ t; /* the field polynomial */
- bsw_32(x, 2);
-}
-
-/* Multiply of a GF128 field element by x^8 using 32-bit words */
-/* for speed - machine endianess matters here */
-
-#if (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
-
-#define xp_fun(x,y) ((mode(32t))(x)) | (((mode(32t))(y)) << 8)
-static const unsigned __int16 gft_le[256] = gf_dat(xp);
-static const unsigned __int16 gft_le64[256] = gf_dat(xp64);
-
-in_line void mul_lex8(mode(32t) x[4]) /* mutiply with long words */
-{ mode(32t) t = (x[3] >> 24); /* in little endian format */
- x[3] = (x[3] << 8) | (x[2] >> 24);
- x[2] = (x[2] << 8) | (x[1] >> 24);
- x[1] = (x[1] << 8) | (x[0] >> 24);
- x[0] = (x[0] << 8) ^ gft_le[t];
-}
-
-in_line void mul_lex8_64(mode(32t) x[2]) /* mutiply with long words */
-{ mode(32t) t = (x[1] >> 24); /* in little endian format */
- x[1] = (x[1] << 8) | (x[0] >> 24);
- x[0] = (x[0] << 8) ^ gft_le64[t];
-}
-
-#endif
-
-#if 1 || (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
-
-#undef xp_fun
-#define xp_fun(x,y) ((mode(32t))(y)) | (((mode(32t))(x)) << 8)
-static const unsigned __int16 gft_be[256] = gf_dat(xp);
-static const unsigned __int16 gft_be64[256] = gf_dat(xp64);
-
-in_line void mul_bex8(mode(32t) x[4]) /* mutiply with long words */
-{ mode(32t) t = (x[3] & 0xff); /* in big endian format */
- x[3] = (x[3] >> 8) | (x[2] << 24);
- x[2] = (x[2] >> 8) | (x[1] << 24);
- x[1] = (x[1] >> 8) | (x[0] << 24);
- x[0] = (x[0] >> 8) ^ (((mode(32t))gft_be[t]) << 16);
-}
-
-in_line void mul_bex8_64(mode(32t) x[2]) /* mutiply with long words */
-{ mode(32t) t = (x[1] & 0xff); /* in big endian format */
- x[1] = (x[1] >> 8) | (x[0] << 24);
- x[0] = (x[0] >> 8) ^ (((mode(32t))gft_be64[t]) << 16);
-}
-
-#endif
-
-/* hence choose the correct version for the machine endianess */
-
-#if PLATFORM_BYTE_ORDER == BRG_BIG_ENDIAN
-#define mul_x8 mul_bex8
-#define mul_x8_64 mul_bex8_64
-#else
-#define mul_x8 mul_lex8
-#define mul_x8_64 mul_lex8_64
-#endif
-
-/* different versions of the general gf_mul function are provided */
-/* here. Sadly none are very fast :-( */
-
-void GfMul128 (void *a, const void* b)
-{ mode(32t) r[CBLK_LEN >> 2], p[8][CBLK_LEN >> 2];
- int i;
-
- move_block_aligned(p[0], b);
- bsw_32(p[0], 4);
- for(i = 0; i < 7; ++i)
- {
- p[i + 1][3] = (p[i][3] >> 1) | (p[i][2] << 31);
- p[i + 1][2] = (p[i][2] >> 1) | (p[i][1] << 31);
- p[i + 1][1] = (p[i][1] >> 1) | (p[i][0] << 31);
- p[i + 1][0] = (p[i][0] >> 1) ^ gf_poly[p[i][3] & 1];
- }
-
- memset(r, 0, CBLK_LEN);
- for(i = 0; i < 16; ++i)
- {
- if(i) mul_bex8(r); /* order is always big endian here */
-
- if(((unsigned char*)a)[15 - i] & 0x80)
- xor_block_aligned(r, p[0]);
- if(((unsigned char*)a)[15 - i] & 0x40)
- xor_block_aligned(r, p[1]);
- if(((unsigned char*)a)[15 - i] & 0x20)
- xor_block_aligned(r, p[2]);
- if(((unsigned char*)a)[15 - i] & 0x10)
- xor_block_aligned(r, p[3]);
- if(((unsigned char*)a)[15 - i] & 0x08)
- xor_block_aligned(r, p[4]);
- if(((unsigned char*)a)[15 - i] & 0x04)
- xor_block_aligned(r, p[5]);
- if(((unsigned char*)a)[15 - i] & 0x02)
- xor_block_aligned(r, p[6]);
- if(((unsigned char*)a)[15 - i] & 0x01)
- xor_block_aligned(r, p[7]);
- }
- bsw_32(r, 4);
- move_block_aligned(a, r);
-}
-
-#if defined( UNROLL_LOOPS )
-
-#define xor_8k(i) \
- xor_block_aligned(r, ctx->gf_t8k[i + i][a[i] & 15]); \
- xor_block_aligned(r, ctx->gf_t8k[i + i + 1][a[i] >> 4])
-
-
-void GfMul128Tab (unsigned char a[CBLK_LEN], GfCtx8k *ctx)
-{ unsigned __int32 r[CBLK_LEN >> 2];
-
- move_block_aligned(r, ctx->gf_t8k[0][a[0] & 15]);
- xor_block_aligned(r, ctx->gf_t8k[1][a[0] >> 4]);
- xor_8k( 1); xor_8k( 2); xor_8k( 3);
- xor_8k( 4); xor_8k( 5); xor_8k( 6); xor_8k( 7);
- xor_8k( 8); xor_8k( 9); xor_8k(10); xor_8k(11);
- xor_8k(12); xor_8k(13); xor_8k(14); xor_8k(15);
- move_block_aligned(a, r);
-}
-
-#else
-
-void GfMul128Tab (unsigned char a[CBLK_LEN], GfCtx8k *ctx)
-{ unsigned __int32 r[CBLK_LEN >> 2], *p;
- int i;
-
- p = ctx->gf_t8k[0][a[0] & 15];
- memcpy(r, p, CBLK_LEN);
- p = ctx->gf_t8k[1][a[0] >> 4];
- xor_block_aligned(r, p);
- for(i = 1; i < CBLK_LEN; ++i)
- {
- xor_block_aligned(r, ctx->gf_t8k[i + i][a[i] & 15]);
- xor_block_aligned(r, ctx->gf_t8k[i + i + 1][a[i] >> 4]);
- }
- memcpy(a, r, CBLK_LEN);
-}
-
-#endif
-
-void compile_8k_table(unsigned __int8 *a, GfCtx8k *ctx)
-{ int i, j, k;
-
- memset(ctx->gf_t8k, 0, 32 * 16 * 16);
- for(i = 0; i < 2 * CBLK_LEN; ++i)
- {
- if(i == 0)
- {
- memcpy(ctx->gf_t8k[1][8], a, CBLK_LEN);
- for(j = 4; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t8k[1][j], ctx->gf_t8k[1][j + j], CBLK_LEN);
- mul_x(ctx->gf_t8k[1][j]);
- }
- memcpy(ctx->gf_t8k[0][8], ctx->gf_t8k[1][1], CBLK_LEN);
- mul_x(ctx->gf_t8k[0][8]);
- for(j = 4; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t8k[0][j], ctx->gf_t8k[0][j + j], CBLK_LEN);
- mul_x(ctx->gf_t8k[0][j]);
- }
- }
- else if(i > 1)
- for(j = 8; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t8k[i][j], ctx->gf_t8k[i - 2][j], CBLK_LEN);
- mul_x8(ctx->gf_t8k[i][j]);
- }
-
- for(j = 2; j < 16; j += j)
- {
- mode(32t) *pj = ctx->gf_t8k[i][j];
- mode(32t) *pk = ctx->gf_t8k[i][1];
- mode(32t) *pl = ctx->gf_t8k[i][j + 1];
-
- for(k = 1; k < j; ++k)
- {
- *pl++ = pj[0] ^ *pk++;
- *pl++ = pj[1] ^ *pk++;
- *pl++ = pj[2] ^ *pk++;
- *pl++ = pj[3] ^ *pk++;
- }
- }
- }
-}
-
-
-void compile_4k_table64(unsigned __int8 *a, GfCtx4k64 *ctx)
-{ int i, j, k;
-
- memset(ctx->gf_t4k, 0, sizeof(ctx->gf_t4k));
- for(i = 0; i < 2 * CBLK_LEN8; ++i)
- {
- if(i == 0)
- {
- memcpy(ctx->gf_t4k[1][8], a, CBLK_LEN8);
- for(j = 4; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t4k[1][j], ctx->gf_t4k[1][j + j], CBLK_LEN8);
- mul_x64(ctx->gf_t4k[1][j]);
- }
- memcpy(ctx->gf_t4k[0][8], ctx->gf_t4k[1][1], CBLK_LEN8);
- mul_x64(ctx->gf_t4k[0][8]);
- for(j = 4; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t4k[0][j], ctx->gf_t4k[0][j + j], CBLK_LEN8);
- mul_x64(ctx->gf_t4k[0][j]);
- }
- }
- else if(i > 1)
- for(j = 8; j > 0; j >>= 1)
- {
- memcpy(ctx->gf_t4k[i][j], ctx->gf_t4k[i - 2][j], CBLK_LEN8);
- mul_x8_64(ctx->gf_t4k[i][j]);
- }
-
- for(j = 2; j < 16; j += j)
- {
- mode(32t) *pj = ctx->gf_t4k[i][j];
- mode(32t) *pk = ctx->gf_t4k[i][1];
- mode(32t) *pl = ctx->gf_t4k[i][j + 1];
-
- for(k = 1; k < j; ++k)
- {
- *pl++ = pj[0] ^ *pk++;
- *pl++ = pj[1] ^ *pk++;
- *pl++ = pj[2] ^ *pk++;
- *pl++ = pj[3] ^ *pk++;
- }
- }
- }
-}
-
-static int IsBitSet128 (unsigned int bit, unsigned __int8 *a)
-{
- return a[(127 - bit) / 8] & (0x80 >> ((127 - bit) % 8));
-}
-
-static int IsBitSet64 (unsigned int bit, unsigned __int8 *a)
-{
- return a[(63 - bit) / 8] & (0x80 >> ((63 - bit) % 8));
-}
-
-static void SetBit128 (unsigned int bit, unsigned __int8 *a)
-{
- a[(127 - bit) / 8] |= 0x80 >> ((127 - bit) % 8);
-}
-
-static void SetBit64 (unsigned int bit, unsigned __int8 *a)
-{
- a[(63 - bit) / 8] |= 0x80 >> ((63 - bit) % 8);
-}
-
-void MirrorBits128 (unsigned __int8 *a)
-{
- unsigned __int8 t[128 / 8];
- int i;
- memset (t,0,16);
- for (i = 0; i < 128; i++)
- {
- if (IsBitSet128(i, a))
- SetBit128 (127 - i, t);
- }
- memcpy (a, t, sizeof (t));
- burn (t,sizeof (t));
-}
-
-void MirrorBits64 (unsigned __int8 *a)
-{
- unsigned __int8 t[64 / 8];
- int i;
- memset (t,0,8);
- for (i = 0; i < 64; i++)
- {
- if (IsBitSet64(i, a))
- SetBit64 (63 - i, t);
- }
- memcpy (a, t, sizeof (t));
- burn (t,sizeof (t));
-}
-
-/* Allocate and initialize speed optimization table
- for multiplication by 64-bit operand in MSB-first mode */
-int Gf128Tab64Init (unsigned __int8 *a, GfCtx *ctx)
-{
- GfCtx8k *ctx8k;
- unsigned __int8 am[16];
- int i, j;
-
- ctx8k = (GfCtx8k *) TCalloc (sizeof (GfCtx8k));
- if (!ctx8k)
- return FALSE;
-
- memcpy (am, a, 16);
- MirrorBits128 (am);
- compile_8k_table (am, ctx8k);
-
- /* Convert 8k LSB-first table to 4k MSB-first */
- for (i = 16; i < 32; i++)
- {
- for (j = 0; j < 16; j++)
- {
- int jm = 0;
- jm |= (j & 0x1) << 3;
- jm |= (j & 0x2) << 1;
- jm |= (j & 0x4) >> 1;
- jm |= (j & 0x8) >> 3;
-
- memcpy (&ctx->gf_t128[i-16][jm], (unsigned char *)&ctx8k->gf_t8k[31-i][j], 16);
- MirrorBits128 ((unsigned char *)&ctx->gf_t128[i-16][jm]);
- }
- }
-
- burn (ctx8k ,sizeof (*ctx8k));
- burn (am, sizeof (am));
- TCfree (ctx8k);
- return TRUE;
-}
-
-
-#define xor_8kt64(i) \
- xor_block_aligned(r, ctx->gf_t128[i + i][a[i] & 15]); \
- xor_block_aligned(r, ctx->gf_t128[i + i + 1][a[i] >> 4])
-
-/* Multiply a 128-bit number by a 64-bit number in the finite field GF(2^128) */
-void Gf128MulBy64Tab (unsigned __int8 a[8], unsigned __int8 p[16], GfCtx *ctx)
-{
- unsigned __int32 r[CBLK_LEN >> 2];
-
- move_block_aligned(r, ctx->gf_t128[7*2][a[7] & 15]);
- xor_block_aligned(r, ctx->gf_t128[7*2+1][a[7] >> 4]);
-
- if (*(unsigned __int16 *)a)
- {
- xor_8kt64(0);
- xor_8kt64(1);
- }
- if (a[2])
- {
- xor_8kt64(2);
- }
- xor_8kt64(3);
- xor_8kt64(4);
- xor_8kt64(5);
- xor_8kt64(6);
-
- move_block_aligned(p, r);
-}
-
-
-
-/* Basic algorithms for testing of optimized algorithms */
-
-static void xor128 (uint64 *a, uint64 *b)
-{
- *a++ ^= *b++;
- *a ^= *b;
-}
-
-static void shl128 (unsigned __int8 *a)
-{
- int i, x = 0, xx;
- for (i = 15; i >= 0; i--)
- {
- xx = (a[i] & 0x80) >> 7;
- a[i] = (char) ((a[i] << 1) | x);
- x = xx;
- }
-}
-
-static void GfMul128Basic (unsigned __int8 *a, unsigned __int8 *b, unsigned __int8 *p)
-{
- int i;
- unsigned __int8 la[16];
- memcpy (la, a, 16);
- memset (p, 0, 16);
-
- for (i = 0; i < 128; i++)
- {
- if (IsBitSet128 (i, b))
- xor128 ((uint64 *)p, (uint64 *)la);
-
- if (la[0] & 0x80)
- {
- shl128 (la);
- la[15] ^= 0x87;
- }
- else
- {
- shl128 (la);
- }
- }
-}
-
-
-BOOL GfMulSelfTest ()
-{
- BOOL result = TRUE;
- unsigned __int8 a[16];
- unsigned __int8 b[16];
- unsigned __int8 p1[16];
- unsigned __int8 p2[16];
- GfCtx *gfCtx = (GfCtx *) TCalloc (sizeof (GfCtx));
- int i, j;
-
- if (!gfCtx)
- return FALSE;
-
-
- /* GF(2^128) */
- for (i = 0; i < 0x100; i++)
- {
- for (j = 0; j < 16; j++)
- {
- a[j] = (unsigned __int8) i;
- b[j] = j < 8 ? 0 : a[j] ^ 0xff;
- }
-
- GfMul128Basic (a, b, p1);
-
- Gf128Tab64Init (a, gfCtx);
- Gf128MulBy64Tab (b + 8, p2, gfCtx);
-
- if (memcmp (p1, p2, 16) != 0)
- result = FALSE;
- }
-
- TCfree (gfCtx);
- return result;
-}
-
-#if defined(__cplusplus)
-}
-#endif
+/*
+ ---------------------------------------------------------------------------
+ Copyright (c) 2003, Dr Brian Gladman, Worcester, UK. All rights reserved.
+
+ LICENSE TERMS
+
+ The free distribution and use of this software is allowed (with or without
+ changes) provided that:
+
+ 1. source code distributions include the above copyright notice, this
+ list of conditions and the following disclaimer;
+
+ 2. binary distributions include the above copyright notice, this list
+ of conditions and the following disclaimer in their documentation;
+
+ 3. the name of the copyright holder is not used to endorse products
+ built using this software without specific written permission.
+
+ DISCLAIMER
+
+ This software is provided 'as is' with no explicit or implied warranties
+ in respect of its properties, including, but not limited to, correctness
+ and/or fitness for purpose.
+ ---------------------------------------------------------------------------
+ Issue Date: 31/01/2004
+
+ My thanks to John Viega and David McGrew for their support in developing
+ this code and to David for testing it on a big-endain system.
+*/
+
+/*
+ ---------------------------------------------------------------------------
+ Portions Copyright (c) 2005 TrueCrypt Developers Association
+
+ Changes:
+
+ - Added multiplication in the finite field GF(2^128) optimized for
+ cases involving a 64-bit operand.
+
+ - Added multiplication in the finite field GF(2^64).
+
+ - Added MSB-first mode.
+
+ - Added basic test algorithms.
+
+ - Removed GCM.
+ ---------------------------------------------------------------------------
+*/
+
+#include <memory.h>
+#include <stdlib.h>
+#include "GfMul.h"
+#include "Tcdefs.h"
+#include "Common/Endian.h"
+
+/* BUFFER_ALIGN32 or BUFFER_ALIGN64 must be defined at this point to */
+/* enable faster operation by taking advantage of memory aligned values */
+/* NOTE: the BUFFER_ALIGN64 option has not been tested extensively */
+
+#define BUFFER_ALIGN32
+#define UNROLL_LOOPS /* define to unroll some loops */
+#define IN_LINES /* define to use inline functions */
+ /* in place of macros */
+
+#define mode(x) GM_##x
+
+#if defined(__cplusplus)
+extern "C"
+{
+#endif
+
+typedef unsigned __int32 mode(32t);
+typedef uint64 mode(64t);
+
+#define BRG_LITTLE_ENDIAN 1234 /* byte 0 is least significant (i386) */
+#define BRG_BIG_ENDIAN 4321 /* byte 0 is most significant (mc68k) */
+
+#if BYTE_ORDER == LITTLE_ENDIAN
+# define PLATFORM_BYTE_ORDER BRG_LITTLE_ENDIAN
+#endif
+
+#if BYTE_ORDER == BIG_ENDIAN
+# define PLATFORM_BYTE_ORDER BRG_BIG_ENDIAN
+#endif
+
+#ifdef _MSC_VER
+#pragma intrinsic(memcpy)
+#define in_line __inline
+#else
+#define in_line
+#endif
+
+#if 0 && defined(_MSC_VER)
+#define rotl32 _lrotl
+#define rotr32 _lrotr
+#else
+#define rotl32(x,n) (((x) << n) | ((x) >> (32 - n)))
+#define rotr32(x,n) (((x) >> n) | ((x) << (32 - n)))
+#endif
+
+#if !defined(bswap_32)
+#define bswap_32(x) ((rotr32((x), 24) & 0x00ff00ff) | (rotr32((x), 8) & 0xff00ff00))
+#endif
+
+#if (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
+#define SWAP_BYTES
+#else
+#undef SWAP_BYTES
+#endif
+
+#if defined(SWAP_BYTES)
+
+#if defined ( IN_LINES )
+
+in_line void bsw_32(void * p, unsigned int n)
+{ unsigned int i = n;
+ while(i--)
+ ((mode(32t)*)p)[i] = bswap_32(((mode(32t)*)p)[i]);
+}
+
+#else
+
+#define bsw_32(p,n) \
+ { int _i = (n); while(_i--) ((mode(32t)*)p)[_i] = bswap_32(((mode(32t)*)p)[_i]); }
+
+#endif
+
+#else
+#define bsw_32(p,n)
+#endif
+
+/* These values are used to detect long word alignment in order */
+/* to speed up some GCM buffer operations. This facility may */
+/* not work on some machines */
+
+#define lp08(x) ((unsigned char*)(x))
+#define lp32(x) ((mode(32t)*)(x))
+#define lp64(x) ((mode(64t)*)(x))
+
+#define A32_MASK 3
+#define A64_MASK 7
+#define aligned32(x) (!(((mode(32t))(x)) & A32_MASK))
+#define aligned64(x) (!(((mode(32t))(x)) & A64_MASK))
+
+#if defined( BUFFER_ALIGN32 )
+
+#define ADR_MASK A32_MASK
+#define aligned aligned32
+#define lp lp32
+#define lp_inc 4
+
+#if defined( IN_LINES )
+
+in_line void move_block_aligned( void *p, const void *q)
+{
+ lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1],
+ lp32(p)[2] = lp32(q)[2], lp32(p)[3] = lp32(q)[3];
+}
+
+in_line void move_block_aligned64( void *p, const void *q)
+{
+ lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1];
+}
+
+in_line void xor_block_aligned( void *p, const void *q)
+{
+ lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1],
+ lp32(p)[2] ^= lp32(q)[2], lp32(p)[3] ^= lp32(q)[3];
+}
+
+in_line void xor_block_aligned64( void *p, const void *q)
+{
+ lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1];
+}
+
+#else
+
+#define move_block_aligned(p,q) \
+ lp32(p)[0] = lp32(q)[0], lp32(p)[1] = lp32(q)[1], \
+ lp32(p)[2] = lp32(q)[2], lp32(p)[3] = lp32(q)[3]
+
+#define xor_block_aligned(p,q) \
+ lp32(p)[0] ^= lp32(q)[0], lp32(p)[1] ^= lp32(q)[1], \
+ lp32(p)[2] ^= lp32(q)[2], lp32(p)[3] ^= lp32(q)[3]
+
+#endif
+
+#elif defined( BUFFER_ALIGN64 )
+
+#define ADR_MASK A64_MASK
+#define aligned aligned64
+#define lp lp64
+#define lp_inc 8
+
+#define move_block_aligned(p,q) \
+ lp64(p)[0] = lp64(q)[0], lp64(p)[1] = lp64(q)[1]
+
+#define xor_block_aligned(p,q) \
+ lp64(p)[0] ^= lp64(q)[0], lp64(p)[1] ^= lp64(q)[1]
+
+#else
+#define aligned(x) 0
+#endif
+
+#define move_block(p,q) memcpy((p), (q), BLOCK_LEN)
+
+#define xor_block(p,q) \
+ lp08(p)[ 0] ^= lp08(q)[ 0], lp08(p)[ 1] ^= lp08(q)[ 1], \
+ lp08(p)[ 2] ^= lp08(q)[ 2], lp08(p)[ 3] ^= lp08(q)[ 3], \
+ lp08(p)[ 4] ^= lp08(q)[ 4], lp08(p)[ 5] ^= lp08(q)[ 5], \
+ lp08(p)[ 6] ^= lp08(q)[ 6], lp08(p)[ 7] ^= lp08(q)[ 7], \
+ lp08(p)[ 8] ^= lp08(q)[ 8], lp08(p)[ 9] ^= lp08(q)[ 9], \
+ lp08(p)[10] ^= lp08(q)[10], lp08(p)[11] ^= lp08(q)[11], \
+ lp08(p)[12] ^= lp08(q)[12], lp08(p)[13] ^= lp08(q)[13], \
+ lp08(p)[14] ^= lp08(q)[14], lp08(p)[15] ^= lp08(q)[15]
+
+
+#define gf_dat(q) {\
+ q(0x00), q(0x01), q(0x02), q(0x03), q(0x04), q(0x05), q(0x06), q(0x07),\
+ q(0x08), q(0x09), q(0x0a), q(0x0b), q(0x0c), q(0x0d), q(0x0e), q(0x0f),\
+ q(0x10), q(0x11), q(0x12), q(0x13), q(0x14), q(0x15), q(0x16), q(0x17),\
+ q(0x18), q(0x19), q(0x1a), q(0x1b), q(0x1c), q(0x1d), q(0x1e), q(0x1f),\
+ q(0x20), q(0x21), q(0x22), q(0x23), q(0x24), q(0x25), q(0x26), q(0x27),\
+ q(0x28), q(0x29), q(0x2a), q(0x2b), q(0x2c), q(0x2d), q(0x2e), q(0x2f),\
+ q(0x30), q(0x31), q(0x32), q(0x33), q(0x34), q(0x35), q(0x36), q(0x37),\
+ q(0x38), q(0x39), q(0x3a), q(0x3b), q(0x3c), q(0x3d), q(0x3e), q(0x3f),\
+ q(0x40), q(0x41), q(0x42), q(0x43), q(0x44), q(0x45), q(0x46), q(0x47),\
+ q(0x48), q(0x49), q(0x4a), q(0x4b), q(0x4c), q(0x4d), q(0x4e), q(0x4f),\
+ q(0x50), q(0x51), q(0x52), q(0x53), q(0x54), q(0x55), q(0x56), q(0x57),\
+ q(0x58), q(0x59), q(0x5a), q(0x5b), q(0x5c), q(0x5d), q(0x5e), q(0x5f),\
+ q(0x60), q(0x61), q(0x62), q(0x63), q(0x64), q(0x65), q(0x66), q(0x67),\
+ q(0x68), q(0x69), q(0x6a), q(0x6b), q(0x6c), q(0x6d), q(0x6e), q(0x6f),\
+ q(0x70), q(0x71), q(0x72), q(0x73), q(0x74), q(0x75), q(0x76), q(0x77),\
+ q(0x78), q(0x79), q(0x7a), q(0x7b), q(0x7c), q(0x7d), q(0x7e), q(0x7f),\
+ q(0x80), q(0x81), q(0x82), q(0x83), q(0x84), q(0x85), q(0x86), q(0x87),\
+ q(0x88), q(0x89), q(0x8a), q(0x8b), q(0x8c), q(0x8d), q(0x8e), q(0x8f),\
+ q(0x90), q(0x91), q(0x92), q(0x93), q(0x94), q(0x95), q(0x96), q(0x97),\
+ q(0x98), q(0x99), q(0x9a), q(0x9b), q(0x9c), q(0x9d), q(0x9e), q(0x9f),\
+ q(0xa0), q(0xa1), q(0xa2), q(0xa3), q(0xa4), q(0xa5), q(0xa6), q(0xa7),\
+ q(0xa8), q(0xa9), q(0xaa), q(0xab), q(0xac), q(0xad), q(0xae), q(0xaf),\
+ q(0xb0), q(0xb1), q(0xb2), q(0xb3), q(0xb4), q(0xb5), q(0xb6), q(0xb7),\
+ q(0xb8), q(0xb9), q(0xba), q(0xbb), q(0xbc), q(0xbd), q(0xbe), q(0xbf),\
+ q(0xc0), q(0xc1), q(0xc2), q(0xc3), q(0xc4), q(0xc5), q(0xc6), q(0xc7),\
+ q(0xc8), q(0xc9), q(0xca), q(0xcb), q(0xcc), q(0xcd), q(0xce), q(0xcf),\
+ q(0xd0), q(0xd1), q(0xd2), q(0xd3), q(0xd4), q(0xd5), q(0xd6), q(0xd7),\
+ q(0xd8), q(0xd9), q(0xda), q(0xdb), q(0xdc), q(0xdd), q(0xde), q(0xdf),\
+ q(0xe0), q(0xe1), q(0xe2), q(0xe3), q(0xe4), q(0xe5), q(0xe6), q(0xe7),\
+ q(0xe8), q(0xe9), q(0xea), q(0xeb), q(0xec), q(0xed), q(0xee), q(0xef),\
+ q(0xf0), q(0xf1), q(0xf2), q(0xf3), q(0xf4), q(0xf5), q(0xf6), q(0xf7),\
+ q(0xf8), q(0xf9), q(0xfa), q(0xfb), q(0xfc), q(0xfd), q(0xfe), q(0xff) }
+
+/* given the value i in 0..255 as the byte overflow when a a field */
+/* element in GHASH is multipled by x^8, this function will return */
+/* the values that are generated in the lo 16-bit word of the field */
+/* value by applying the modular polynomial. The values lo_byte and */
+/* hi_byte are returned via the macro xp_fun(lo_byte, hi_byte) so */
+/* that the values can be assembled into memory as required by a */
+/* suitable definition of this macro operating on the table above */
+
+#define xp(i) xp_fun( \
+ (i & 0x80 ? 0xe1 : 0) ^ (i & 0x40 ? 0x70 : 0) ^ \
+ (i & 0x20 ? 0x38 : 0) ^ (i & 0x10 ? 0x1c : 0) ^ \
+ (i & 0x08 ? 0x0e : 0) ^ (i & 0x04 ? 0x07 : 0) ^ \
+ (i & 0x02 ? 0x03 : 0) ^ (i & 0x01 ? 0x01 : 0), \
+ (i & 0x80 ? 0x00 : 0) ^ (i & 0x40 ? 0x80 : 0) ^ \
+ (i & 0x20 ? 0x40 : 0) ^ (i & 0x10 ? 0x20 : 0) ^ \
+ (i & 0x08 ? 0x10 : 0) ^ (i & 0x04 ? 0x08 : 0) ^ \
+ (i & 0x02 ? 0x84 : 0) ^ (i & 0x01 ? 0xc2 : 0) )
+
+#define xp64(i) xp_fun( \
+ (i & 0x80 ? 0xd8 : 0) ^ (i & 0x40 ? 0x6c : 0) ^ \
+ (i & 0x20 ? 0x36 : 0) ^ (i & 0x10 ? 0x1b : 0) ^ \
+ (i & 0x08 ? 0x0d : 0) ^ (i & 0x04 ? 0x06 : 0) ^ \
+ (i & 0x02 ? 0x03 : 0) ^ (i & 0x01 ? 0x01 : 0), \
+ (i & 0x80 ? 0x00 : 0) ^ (i & 0x40 ? 0x00 : 0) ^ \
+ (i & 0x20 ? 0x00 : 0) ^ (i & 0x10 ? 0x00 : 0) ^ \
+ (i & 0x08 ? 0x80 : 0) ^ (i & 0x04 ? 0xc0 : 0) ^ \
+ (i & 0x02 ? 0x60 : 0) ^ (i & 0x01 ? 0xb0 : 0) )
+
+static mode(32t) gf_poly[2] = { 0, 0xe1000000 };
+static mode(32t) gf_poly64[2] = { 0, 0xd8000000 };
+
+/* Multiply of a GF128 field element by x. The field element */
+/* is held in an array of bytes in which field bits 8n..8n + 7 */
+/* are held in byte[n], with lower indexed bits placed in the */
+/* more numerically significant bit positions in bytes. */
+
+/* This function multiples a field element x, in the polynomial */
+/* field representation. It uses 32-bit word operations to gain */
+/* speed but compensates for machine endianess and hence works */
+/* correctly on both styles of machine */
+
+in_line void mul_x(mode(32t) x[4])
+{ mode(32t) t;
+
+ bsw_32(x, 4);
+
+ /* at this point the filed element bits 0..127 are set out */
+ /* as follows in 32-bit words (where the most significant */
+ /* (ms) numeric bits are to the left) */
+ /* */
+ /* x[0] x[1] x[2] x[3] */
+ /* ms ls ms ls ms ls ms ls */
+ /* field: 0 ... 31 32 .. 63 64 .. 95 96 .. 127 */
+
+ t = gf_poly[x[3] & 1]; /* bit 127 of the element */
+ x[3] = (x[3] >> 1) | (x[2] << 31); /* shift bits up by one */
+ x[2] = (x[2] >> 1) | (x[1] << 31); /* position */
+ x[1] = (x[1] >> 1) | (x[0] << 31); /* if bit 7 is 1 xor in */
+ x[0] = (x[0] >> 1) ^ t; /* the field polynomial */
+ bsw_32(x, 4);
+}
+
+in_line void mul_x64(mode(32t) x[2])
+{ mode(32t) t;
+
+ bsw_32(x, 2);
+
+ /* at this point the filed element bits 0..127 are set out */
+ /* as follows in 32-bit words (where the most significant */
+ /* (ms) numeric bits are to the left) */
+ /* */
+ /* x[0] x[1] x[2] x[3] */
+ /* ms ls ms ls ms ls ms ls */
+ /* field: 0 ... 31 32 .. 63 64 .. 95 96 .. 127 */
+
+ t = gf_poly64[x[1] & 1]; /* bit 127 of the element */
+ /* shift bits up by one */
+ /* position */
+ x[1] = (x[1] >> 1) | (x[0] << 31); /* if bit 7 is 1 xor in */
+ x[0] = (x[0] >> 1) ^ t; /* the field polynomial */
+ bsw_32(x, 2);
+}
+
+/* Multiply of a GF128 field element by x^8 using 32-bit words */
+/* for speed - machine endianess matters here */
+
+#if (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
+
+#define xp_fun(x,y) ((mode(32t))(x)) | (((mode(32t))(y)) << 8)
+static const unsigned __int16 gft_le[256] = gf_dat(xp);
+static const unsigned __int16 gft_le64[256] = gf_dat(xp64);
+
+in_line void mul_lex8(mode(32t) x[4]) /* mutiply with long words */
+{ mode(32t) t = (x[3] >> 24); /* in little endian format */
+ x[3] = (x[3] << 8) | (x[2] >> 24);
+ x[2] = (x[2] << 8) | (x[1] >> 24);
+ x[1] = (x[1] << 8) | (x[0] >> 24);
+ x[0] = (x[0] << 8) ^ gft_le[t];
+}
+
+in_line void mul_lex8_64(mode(32t) x[2]) /* mutiply with long words */
+{ mode(32t) t = (x[1] >> 24); /* in little endian format */
+ x[1] = (x[1] << 8) | (x[0] >> 24);
+ x[0] = (x[0] << 8) ^ gft_le64[t];
+}
+
+#endif
+
+#if 1 || (PLATFORM_BYTE_ORDER == BRG_LITTLE_ENDIAN)
+
+#undef xp_fun
+#define xp_fun(x,y) ((mode(32t))(y)) | (((mode(32t))(x)) << 8)
+static const unsigned __int16 gft_be[256] = gf_dat(xp);
+static const unsigned __int16 gft_be64[256] = gf_dat(xp64);
+
+in_line void mul_bex8(mode(32t) x[4]) /* mutiply with long words */
+{ mode(32t) t = (x[3] & 0xff); /* in big endian format */
+ x[3] = (x[3] >> 8) | (x[2] << 24);
+ x[2] = (x[2] >> 8) | (x[1] << 24);
+ x[1] = (x[1] >> 8) | (x[0] << 24);
+ x[0] = (x[0] >> 8) ^ (((mode(32t))gft_be[t]) << 16);
+}
+
+in_line void mul_bex8_64(mode(32t) x[2]) /* mutiply with long words */
+{ mode(32t) t = (x[1] & 0xff); /* in big endian format */
+ x[1] = (x[1] >> 8) | (x[0] << 24);
+ x[0] = (x[0] >> 8) ^ (((mode(32t))gft_be64[t]) << 16);
+}
+
+#endif
+
+/* hence choose the correct version for the machine endianess */
+
+#if PLATFORM_BYTE_ORDER == BRG_BIG_ENDIAN
+#define mul_x8 mul_bex8
+#define mul_x8_64 mul_bex8_64
+#else
+#define mul_x8 mul_lex8
+#define mul_x8_64 mul_lex8_64
+#endif
+
+/* different versions of the general gf_mul function are provided */
+/* here. Sadly none are very fast :-( */
+
+void GfMul128 (void *a, const void* b)
+{ mode(32t) r[CBLK_LEN >> 2], p[8][CBLK_LEN >> 2];
+ int i;
+
+ move_block_aligned(p[0], b);
+ bsw_32(p[0], 4);
+ for(i = 0; i < 7; ++i)
+ {
+ p[i + 1][3] = (p[i][3] >> 1) | (p[i][2] << 31);
+ p[i + 1][2] = (p[i][2] >> 1) | (p[i][1] << 31);
+ p[i + 1][1] = (p[i][1] >> 1) | (p[i][0] << 31);
+ p[i + 1][0] = (p[i][0] >> 1) ^ gf_poly[p[i][3] & 1];
+ }
+
+ memset(r, 0, CBLK_LEN);
+ for(i = 0; i < 16; ++i)
+ {
+ if(i) mul_bex8(r); /* order is always big endian here */
+
+ if(((unsigned char*)a)[15 - i] & 0x80)
+ xor_block_aligned(r, p[0]);
+ if(((unsigned char*)a)[15 - i] & 0x40)
+ xor_block_aligned(r, p[1]);
+ if(((unsigned char*)a)[15 - i] & 0x20)
+ xor_block_aligned(r, p[2]);
+ if(((unsigned char*)a)[15 - i] & 0x10)
+ xor_block_aligned(r, p[3]);
+ if(((unsigned char*)a)[15 - i] & 0x08)
+ xor_block_aligned(r, p[4]);
+ if(((unsigned char*)a)[15 - i] & 0x04)
+ xor_block_aligned(r, p[5]);
+ if(((unsigned char*)a)[15 - i] & 0x02)
+ xor_block_aligned(r, p[6]);
+ if(((unsigned char*)a)[15 - i] & 0x01)
+ xor_block_aligned(r, p[7]);
+ }
+ bsw_32(r, 4);
+ move_block_aligned(a, r);
+}
+
+#if defined( UNROLL_LOOPS )
+
+#define xor_8k(i) \
+ xor_block_aligned(r, ctx->gf_t8k[i + i][a[i] & 15]); \
+ xor_block_aligned(r, ctx->gf_t8k[i + i + 1][a[i] >> 4])
+
+
+void GfMul128Tab (unsigned char a[CBLK_LEN], GfCtx8k *ctx)
+{ unsigned __int32 r[CBLK_LEN >> 2];
+
+ move_block_aligned(r, ctx->gf_t8k[0][a[0] & 15]);
+ xor_block_aligned(r, ctx->gf_t8k[1][a[0] >> 4]);
+ xor_8k( 1); xor_8k( 2); xor_8k( 3);
+ xor_8k( 4); xor_8k( 5); xor_8k( 6); xor_8k( 7);
+ xor_8k( 8); xor_8k( 9); xor_8k(10); xor_8k(11);
+ xor_8k(12); xor_8k(13); xor_8k(14); xor_8k(15);
+ move_block_aligned(a, r);
+}
+
+#else
+
+void GfMul128Tab (unsigned char a[CBLK_LEN], GfCtx8k *ctx)
+{ unsigned __int32 r[CBLK_LEN >> 2], *p;
+ int i;
+
+ p = ctx->gf_t8k[0][a[0] & 15];
+ memcpy(r, p, CBLK_LEN);
+ p = ctx->gf_t8k[1][a[0] >> 4];
+ xor_block_aligned(r, p);
+ for(i = 1; i < CBLK_LEN; ++i)
+ {
+ xor_block_aligned(r, ctx->gf_t8k[i + i][a[i] & 15]);
+ xor_block_aligned(r, ctx->gf_t8k[i + i + 1][a[i] >> 4]);
+ }
+ memcpy(a, r, CBLK_LEN);
+}
+
+#endif
+
+void compile_8k_table(unsigned __int8 *a, GfCtx8k *ctx)
+{ int i, j, k;
+
+ memset(ctx->gf_t8k, 0, 32 * 16 * 16);
+ for(i = 0; i < 2 * CBLK_LEN; ++i)
+ {
+ if(i == 0)
+ {
+ memcpy(ctx->gf_t8k[1][8], a, CBLK_LEN);
+ for(j = 4; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t8k[1][j], ctx->gf_t8k[1][j + j], CBLK_LEN);
+ mul_x(ctx->gf_t8k[1][j]);
+ }
+ memcpy(ctx->gf_t8k[0][8], ctx->gf_t8k[1][1], CBLK_LEN);
+ mul_x(ctx->gf_t8k[0][8]);
+ for(j = 4; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t8k[0][j], ctx->gf_t8k[0][j + j], CBLK_LEN);
+ mul_x(ctx->gf_t8k[0][j]);
+ }
+ }
+ else if(i > 1)
+ for(j = 8; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t8k[i][j], ctx->gf_t8k[i - 2][j], CBLK_LEN);
+ mul_x8(ctx->gf_t8k[i][j]);
+ }
+
+ for(j = 2; j < 16; j += j)
+ {
+ mode(32t) *pj = ctx->gf_t8k[i][j];
+ mode(32t) *pk = ctx->gf_t8k[i][1];
+ mode(32t) *pl = ctx->gf_t8k[i][j + 1];
+
+ for(k = 1; k < j; ++k)
+ {
+ *pl++ = pj[0] ^ *pk++;
+ *pl++ = pj[1] ^ *pk++;
+ *pl++ = pj[2] ^ *pk++;
+ *pl++ = pj[3] ^ *pk++;
+ }
+ }
+ }
+}
+
+
+void compile_4k_table64(unsigned __int8 *a, GfCtx4k64 *ctx)
+{ int i, j, k;
+
+ memset(ctx->gf_t4k, 0, sizeof(ctx->gf_t4k));
+ for(i = 0; i < 2 * CBLK_LEN8; ++i)
+ {
+ if(i == 0)
+ {
+ memcpy(ctx->gf_t4k[1][8], a, CBLK_LEN8);
+ for(j = 4; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t4k[1][j], ctx->gf_t4k[1][j + j], CBLK_LEN8);
+ mul_x64(ctx->gf_t4k[1][j]);
+ }
+ memcpy(ctx->gf_t4k[0][8], ctx->gf_t4k[1][1], CBLK_LEN8);
+ mul_x64(ctx->gf_t4k[0][8]);
+ for(j = 4; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t4k[0][j], ctx->gf_t4k[0][j + j], CBLK_LEN8);
+ mul_x64(ctx->gf_t4k[0][j]);
+ }
+ }
+ else if(i > 1)
+ for(j = 8; j > 0; j >>= 1)
+ {
+ memcpy(ctx->gf_t4k[i][j], ctx->gf_t4k[i - 2][j], CBLK_LEN8);
+ mul_x8_64(ctx->gf_t4k[i][j]);
+ }
+
+ for(j = 2; j < 16; j += j)
+ {
+ mode(32t) *pj = ctx->gf_t4k[i][j];
+ mode(32t) *pk = ctx->gf_t4k[i][1];
+ mode(32t) *pl = ctx->gf_t4k[i][j + 1];
+
+ for(k = 1; k < j; ++k)
+ {
+ *pl++ = pj[0] ^ *pk++;
+ *pl++ = pj[1] ^ *pk++;
+ *pl++ = pj[2] ^ *pk++;
+ *pl++ = pj[3] ^ *pk++;
+ }
+ }
+ }
+}
+
+static int IsBitSet128 (unsigned int bit, unsigned __int8 *a)
+{
+ return a[(127 - bit) / 8] & (0x80 >> ((127 - bit) % 8));
+}
+
+static int IsBitSet64 (unsigned int bit, unsigned __int8 *a)
+{
+ return a[(63 - bit) / 8] & (0x80 >> ((63 - bit) % 8));
+}
+
+static void SetBit128 (unsigned int bit, unsigned __int8 *a)
+{
+ a[(127 - bit) / 8] |= 0x80 >> ((127 - bit) % 8);
+}
+
+static void SetBit64 (unsigned int bit, unsigned __int8 *a)
+{
+ a[(63 - bit) / 8] |= 0x80 >> ((63 - bit) % 8);
+}
+
+void MirrorBits128 (unsigned __int8 *a)
+{
+ unsigned __int8 t[128 / 8];
+ int i;
+ memset (t,0,16);
+ for (i = 0; i < 128; i++)
+ {
+ if (IsBitSet128(i, a))
+ SetBit128 (127 - i, t);
+ }
+ memcpy (a, t, sizeof (t));
+ burn (t,sizeof (t));
+}
+
+void MirrorBits64 (unsigned __int8 *a)
+{
+ unsigned __int8 t[64 / 8];
+ int i;
+ memset (t,0,8);
+ for (i = 0; i < 64; i++)
+ {
+ if (IsBitSet64(i, a))
+ SetBit64 (63 - i, t);
+ }
+ memcpy (a, t, sizeof (t));
+ burn (t,sizeof (t));
+}
+
+/* Allocate and initialize speed optimization table
+ for multiplication by 64-bit operand in MSB-first mode */
+int Gf128Tab64Init (unsigned __int8 *a, GfCtx *ctx)
+{
+ GfCtx8k *ctx8k;
+ unsigned __int8 am[16];
+ int i, j;
+
+ ctx8k = (GfCtx8k *) TCalloc (sizeof (GfCtx8k));
+ if (!ctx8k)
+ return FALSE;
+
+ memcpy (am, a, 16);
+ MirrorBits128 (am);
+ compile_8k_table (am, ctx8k);
+
+ /* Convert 8k LSB-first table to 4k MSB-first */
+ for (i = 16; i < 32; i++)
+ {
+ for (j = 0; j < 16; j++)
+ {
+ int jm = 0;
+ jm |= (j & 0x1) << 3;
+ jm |= (j & 0x2) << 1;
+ jm |= (j & 0x4) >> 1;
+ jm |= (j & 0x8) >> 3;
+
+ memcpy (&ctx->gf_t128[i-16][jm], (unsigned char *)&ctx8k->gf_t8k[31-i][j], 16);
+ MirrorBits128 ((unsigned char *)&ctx->gf_t128[i-16][jm]);
+ }
+ }
+
+ burn (ctx8k ,sizeof (*ctx8k));
+ burn (am, sizeof (am));
+ TCfree (ctx8k);
+ return TRUE;
+}
+
+
+#define xor_8kt64(i) \
+ xor_block_aligned(r, ctx->gf_t128[i + i][a[i] & 15]); \
+ xor_block_aligned(r, ctx->gf_t128[i + i + 1][a[i] >> 4])
+
+/* Multiply a 128-bit number by a 64-bit number in the finite field GF(2^128) */
+void Gf128MulBy64Tab (unsigned __int8 a[8], unsigned __int8 p[16], GfCtx *ctx)
+{
+ unsigned __int32 r[CBLK_LEN >> 2];
+
+ move_block_aligned(r, ctx->gf_t128[7*2][a[7] & 15]);
+ xor_block_aligned(r, ctx->gf_t128[7*2+1][a[7] >> 4]);
+
+ if (*(unsigned __int16 *)a)
+ {
+ xor_8kt64(0);
+ xor_8kt64(1);
+ }
+ if (a[2])
+ {
+ xor_8kt64(2);
+ }
+ xor_8kt64(3);
+ xor_8kt64(4);
+ xor_8kt64(5);
+ xor_8kt64(6);
+
+ move_block_aligned(p, r);
+}
+
+
+
+/* Basic algorithms for testing of optimized algorithms */
+
+static void xor128 (uint64 *a, uint64 *b)
+{
+ *a++ ^= *b++;
+ *a ^= *b;
+}
+
+static void shl128 (unsigned __int8 *a)
+{
+ int i, x = 0, xx;
+ for (i = 15; i >= 0; i--)
+ {
+ xx = (a[i] & 0x80) >> 7;
+ a[i] = (char) ((a[i] << 1) | x);
+ x = xx;
+ }
+}
+
+static void GfMul128Basic (unsigned __int8 *a, unsigned __int8 *b, unsigned __int8 *p)
+{
+ int i;
+ unsigned __int8 la[16];
+ memcpy (la, a, 16);
+ memset (p, 0, 16);
+
+ for (i = 0; i < 128; i++)
+ {
+ if (IsBitSet128 (i, b))
+ xor128 ((uint64 *)p, (uint64 *)la);
+
+ if (la[0] & 0x80)
+ {
+ shl128 (la);
+ la[15] ^= 0x87;
+ }
+ else
+ {
+ shl128 (la);
+ }
+ }
+}
+
+
+BOOL GfMulSelfTest ()
+{
+ BOOL result = TRUE;
+ unsigned __int8 a[16];
+ unsigned __int8 b[16];
+ unsigned __int8 p1[16];
+ unsigned __int8 p2[16];
+ GfCtx *gfCtx = (GfCtx *) TCalloc (sizeof (GfCtx));
+ int i, j;
+
+ if (!gfCtx)
+ return FALSE;
+
+
+ /* GF(2^128) */
+ for (i = 0; i < 0x100; i++)
+ {
+ for (j = 0; j < 16; j++)
+ {
+ a[j] = (unsigned __int8) i;
+ b[j] = j < 8 ? 0 : a[j] ^ 0xff;
+ }
+
+ GfMul128Basic (a, b, p1);
+
+ Gf128Tab64Init (a, gfCtx);
+ Gf128MulBy64Tab (b + 8, p2, gfCtx);
+
+ if (memcmp (p1, p2, 16) != 0)
+ result = FALSE;
+ }
+
+ TCfree (gfCtx);
+ return result;
+}
+
+#if defined(__cplusplus)
+}
+#endif