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openwrt/package/ead/src/pw_encrypt_md5.c

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/*
* MD5C.C - RSA Data Security, Inc., MD5 message-digest algorithm
*
* Copyright (C) 1991-2, RSA Data Security, Inc. Created 1991. All
* rights reserved.
*
* License to copy and use this software is granted provided that it
* is identified as the "RSA Data Security, Inc. MD5 Message-Digest
* Algorithm" in all material mentioning or referencing this software
* or this function.
*
* License is also granted to make and use derivative works provided
* that such works are identified as "derived from the RSA Data
* Security, Inc. MD5 Message-Digest Algorithm" in all material
* mentioning or referencing the derived work.
*
* RSA Data Security, Inc. makes no representations concerning either
* the merchantability of this software or the suitability of this
* software for any particular purpose. It is provided "as is"
* without express or implied warranty of any kind.
*
* These notices must be retained in any copies of any part of this
* documentation and/or software.
*
* $FreeBSD: src/lib/libmd/md5c.c,v 1.9.2.1 1999/08/29 14:57:12 peter Exp $
*
* This code is the same as the code published by RSA Inc. It has been
* edited for clarity and style only.
*
* ----------------------------------------------------------------------------
* The md5_crypt() function was taken from freeBSD's libcrypt and contains
* this license:
* "THE BEER-WARE LICENSE" (Revision 42):
* <phk@login.dknet.dk> wrote this file. As long as you retain this notice you
* can do whatever you want with this stuff. If we meet some day, and you think
* this stuff is worth it, you can buy me a beer in return. Poul-Henning Kamp
*
* $FreeBSD: src/lib/libcrypt/crypt.c,v 1.7.2.1 1999/08/29 14:56:33 peter Exp $
*
* ----------------------------------------------------------------------------
* On April 19th, 2001 md5_crypt() was modified to make it reentrant
* by Erik Andersen <andersen@uclibc.org>
*
*
* June 28, 2001 Manuel Novoa III
*
* "Un-inlined" code using loops and static const tables in order to
* reduce generated code size (on i386 from approx 4k to approx 2.5k).
*
* June 29, 2001 Manuel Novoa III
*
* Completely removed static PADDING array.
*
* Reintroduced the loop unrolling in MD5_Transform and added the
* MD5_SIZE_OVER_SPEED option for configurability. Define below as:
* 0 fully unrolled loops
* 1 partially unrolled (4 ops per loop)
* 2 no unrolling -- introduces the need to swap 4 variables (slow)
* 3 no unrolling and all 4 loops merged into one with switch
* in each loop (glacial)
* On i386, sizes are roughly (-Os -fno-builtin):
* 0: 3k 1: 2.5k 2: 2.2k 3: 2k
*
*
* Since SuSv3 does not require crypt_r, modified again August 7, 2002
* by Erik Andersen to remove reentrance stuff...
*/
static const uint8_t ascii64[] = "./0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
/*
* Valid values are 1 (fastest/largest) to 3 (smallest/slowest).
*/
#define MD5_SIZE_OVER_SPEED 3
/**********************************************************************/
/* MD5 context. */
struct MD5Context {
uint32_t state[4]; /* state (ABCD) */
uint32_t count[2]; /* number of bits, modulo 2^64 (lsb first) */
unsigned char buffer[64]; /* input buffer */
};
static void __md5_Init(struct MD5Context *);
static void __md5_Update(struct MD5Context *, const unsigned char *, unsigned int);
static void __md5_Pad(struct MD5Context *);
static void __md5_Final(unsigned char [16], struct MD5Context *);
static void __md5_Transform(uint32_t [4], const unsigned char [64]);
#define MD5_MAGIC_STR "$1$"
#define MD5_MAGIC_LEN (sizeof(MD5_MAGIC_STR) - 1)
static const unsigned char __md5__magic[] = MD5_MAGIC_STR;
#ifdef i386
#define __md5_Encode memcpy
#define __md5_Decode memcpy
#else /* i386 */
/*
* __md5_Encodes input (uint32_t) into output (unsigned char). Assumes len is
* a multiple of 4.
*/
static void
__md5_Encode(unsigned char *output, uint32_t *input, unsigned int len)
{
unsigned int i, j;
for (i = 0, j = 0; j < len; i++, j += 4) {
output[j] = input[i];
output[j+1] = (input[i] >> 8);
output[j+2] = (input[i] >> 16);
output[j+3] = (input[i] >> 24);
}
}
/*
* __md5_Decodes input (unsigned char) into output (uint32_t). Assumes len is
* a multiple of 4.
*/
static void
__md5_Decode(uint32_t *output, const unsigned char *input, unsigned int len)
{
unsigned int i, j;
for (i = 0, j = 0; j < len; i++, j += 4)
output[i] = ((uint32_t)input[j]) | (((uint32_t)input[j+1]) << 8) |
(((uint32_t)input[j+2]) << 16) | (((uint32_t)input[j+3]) << 24);
}
#endif /* i386 */
/* F, G, H and I are basic MD5 functions. */
#define F(x, y, z) (((x) & (y)) | (~(x) & (z)))
#define G(x, y, z) (((x) & (z)) | ((y) & ~(z)))
#define H(x, y, z) ((x) ^ (y) ^ (z))
#define I(x, y, z) ((y) ^ ((x) | ~(z)))
/* ROTATE_LEFT rotates x left n bits. */
#define ROTATE_LEFT(x, n) (((x) << (n)) | ((x) >> (32-(n))))
/*
* FF, GG, HH, and II transformations for rounds 1, 2, 3, and 4.
* Rotation is separate from addition to prevent recomputation.
*/
#define FF(a, b, c, d, x, s, ac) { \
(a) += F ((b), (c), (d)) + (x) + (uint32_t)(ac); \
(a) = ROTATE_LEFT((a), (s)); \
(a) += (b); \
}
#define GG(a, b, c, d, x, s, ac) { \
(a) += G ((b), (c), (d)) + (x) + (uint32_t)(ac); \
(a) = ROTATE_LEFT((a), (s)); \
(a) += (b); \
}
#define HH(a, b, c, d, x, s, ac) { \
(a) += H ((b), (c), (d)) + (x) + (uint32_t)(ac); \
(a) = ROTATE_LEFT((a), (s)); \
(a) += (b); \
}
#define II(a, b, c, d, x, s, ac) { \
(a) += I ((b), (c), (d)) + (x) + (uint32_t)(ac); \
(a) = ROTATE_LEFT((a), (s)); \
(a) += (b); \
}
/* MD5 initialization. Begins an MD5 operation, writing a new context. */
static void __md5_Init(struct MD5Context *context)
{
context->count[0] = context->count[1] = 0;
/* Load magic initialization constants. */
context->state[0] = 0x67452301;
context->state[1] = 0xefcdab89;
context->state[2] = 0x98badcfe;
context->state[3] = 0x10325476;
}
/*
* MD5 block update operation. Continues an MD5 message-digest
* operation, processing another message block, and updating the
* context.
*/
static void __md5_Update(struct MD5Context *context, const unsigned char *input, unsigned int inputLen)
{
unsigned int i, idx, partLen;
/* Compute number of bytes mod 64 */
idx = (context->count[0] >> 3) & 0x3F;
/* Update number of bits */
context->count[0] += (inputLen << 3);
if (context->count[0] < (inputLen << 3))
context->count[1]++;
context->count[1] += (inputLen >> 29);
partLen = 64 - idx;
/* Transform as many times as possible. */
if (inputLen >= partLen) {
memcpy(&context->buffer[idx], input, partLen);
__md5_Transform(context->state, context->buffer);
for (i = partLen; i + 63 < inputLen; i += 64)
__md5_Transform(context->state, &input[i]);
idx = 0;
} else
i = 0;
/* Buffer remaining input */
memcpy(&context->buffer[idx], &input[i], inputLen - i);
}
/*
* MD5 padding. Adds padding followed by original length.
*/
static void __md5_Pad(struct MD5Context *context)
{
unsigned char bits[8];
unsigned int idx, padLen;
unsigned char PADDING[64];
memset(PADDING, 0, sizeof(PADDING));
PADDING[0] = 0x80;
/* Save number of bits */
__md5_Encode(bits, context->count, 8);
/* Pad out to 56 mod 64. */
idx = (context->count[0] >> 3) & 0x3f;
padLen = (idx < 56) ? (56 - idx) : (120 - idx);
__md5_Update(context, PADDING, padLen);
/* Append length (before padding) */
__md5_Update(context, bits, 8);
}
/*
* MD5 finalization. Ends an MD5 message-digest operation, writing the
* the message digest and zeroizing the context.
*/
static void __md5_Final(unsigned char digest[16], struct MD5Context *context)
{
/* Do padding. */
__md5_Pad(context);
/* Store state in digest */
__md5_Encode(digest, context->state, 16);
/* Zeroize sensitive information. */
memset(context, 0, sizeof(*context));
}
/* MD5 basic transformation. Transforms state based on block. */
static void __md5_Transform(uint32_t state[4], const unsigned char block[64])
{
uint32_t a, b, c, d, x[16];
#if MD5_SIZE_OVER_SPEED > 1
uint32_t temp;
const unsigned char *ps;
static const unsigned char S[] = {
7, 12, 17, 22,
5, 9, 14, 20,
4, 11, 16, 23,
6, 10, 15, 21
};
#endif /* MD5_SIZE_OVER_SPEED > 1 */
#if MD5_SIZE_OVER_SPEED > 0
const uint32_t *pc;
const unsigned char *pp;
int i;
static const uint32_t C[] = {
/* round 1 */
0xd76aa478, 0xe8c7b756, 0x242070db, 0xc1bdceee,
0xf57c0faf, 0x4787c62a, 0xa8304613, 0xfd469501,
0x698098d8, 0x8b44f7af, 0xffff5bb1, 0x895cd7be,
0x6b901122, 0xfd987193, 0xa679438e, 0x49b40821,
/* round 2 */
0xf61e2562, 0xc040b340, 0x265e5a51, 0xe9b6c7aa,
0xd62f105d, 0x2441453, 0xd8a1e681, 0xe7d3fbc8,
0x21e1cde6, 0xc33707d6, 0xf4d50d87, 0x455a14ed,
0xa9e3e905, 0xfcefa3f8, 0x676f02d9, 0x8d2a4c8a,
/* round 3 */
0xfffa3942, 0x8771f681, 0x6d9d6122, 0xfde5380c,
0xa4beea44, 0x4bdecfa9, 0xf6bb4b60, 0xbebfbc70,
0x289b7ec6, 0xeaa127fa, 0xd4ef3085, 0x4881d05,
0xd9d4d039, 0xe6db99e5, 0x1fa27cf8, 0xc4ac5665,
/* round 4 */
0xf4292244, 0x432aff97, 0xab9423a7, 0xfc93a039,
0x655b59c3, 0x8f0ccc92, 0xffeff47d, 0x85845dd1,
0x6fa87e4f, 0xfe2ce6e0, 0xa3014314, 0x4e0811a1,
0xf7537e82, 0xbd3af235, 0x2ad7d2bb, 0xeb86d391
};
static const unsigned char P[] = {
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, /* 1 */
1, 6, 11, 0, 5, 10, 15, 4, 9, 14, 3, 8, 13, 2, 7, 12, /* 2 */
5, 8, 11, 14, 1, 4, 7, 10, 13, 0, 3, 6, 9, 12, 15, 2, /* 3 */
0, 7, 14, 5, 12, 3, 10, 1, 8, 15, 6, 13, 4, 11, 2, 9 /* 4 */
};
#endif /* MD5_SIZE_OVER_SPEED > 0 */
__md5_Decode(x, block, 64);
a = state[0]; b = state[1]; c = state[2]; d = state[3];
#if MD5_SIZE_OVER_SPEED > 2
pc = C; pp = P; ps = S - 4;
for (i = 0; i < 64; i++) {
if ((i & 0x0f) == 0) ps += 4;
temp = a;
switch (i>>4) {
case 0:
temp += F(b, c, d);
break;
case 1:
temp += G(b, c, d);
break;
case 2:
temp += H(b, c, d);
break;
case 3:
temp += I(b, c, d);
break;
}
temp += x[*pp++] + *pc++;
temp = ROTATE_LEFT(temp, ps[i & 3]);
temp += b;
a = d; d = c; c = b; b = temp;
}
#elif MD5_SIZE_OVER_SPEED > 1
pc = C; pp = P; ps = S;
/* Round 1 */
for (i = 0; i < 16; i++) {
FF(a, b, c, d, x[*pp], ps[i & 0x3], *pc); pp++; pc++;
temp = d; d = c; c = b; b = a; a = temp;
}
/* Round 2 */
ps += 4;
for (; i < 32; i++) {
GG(a, b, c, d, x[*pp], ps[i & 0x3], *pc); pp++; pc++;
temp = d; d = c; c = b; b = a; a = temp;
}
/* Round 3 */
ps += 4;
for (; i < 48; i++) {
HH(a, b, c, d, x[*pp], ps[i & 0x3], *pc); pp++; pc++;
temp = d; d = c; c = b; b = a; a = temp;
}
/* Round 4 */
ps += 4;
for (; i < 64; i++) {
II(a, b, c, d, x[*pp], ps[i & 0x3], *pc); pp++; pc++;
temp = d; d = c; c = b; b = a; a = temp;
}
#elif MD5_SIZE_OVER_SPEED > 0
pc = C; pp = P;
/* Round 1 */
for (i = 0; i < 4; i++) {
FF(a, b, c, d, x[*pp], 7, *pc); pp++; pc++;
FF(d, a, b, c, x[*pp], 12, *pc); pp++; pc++;
FF(c, d, a, b, x[*pp], 17, *pc); pp++; pc++;
FF(b, c, d, a, x[*pp], 22, *pc); pp++; pc++;
}
/* Round 2 */
for (i = 0; i < 4; i++) {
GG(a, b, c, d, x[*pp], 5, *pc); pp++; pc++;
GG(d, a, b, c, x[*pp], 9, *pc); pp++; pc++;
GG(c, d, a, b, x[*pp], 14, *pc); pp++; pc++;
GG(b, c, d, a, x[*pp], 20, *pc); pp++; pc++;
}
/* Round 3 */
for (i = 0; i < 4; i++) {
HH(a, b, c, d, x[*pp], 4, *pc); pp++; pc++;
HH(d, a, b, c, x[*pp], 11, *pc); pp++; pc++;
HH(c, d, a, b, x[*pp], 16, *pc); pp++; pc++;
HH(b, c, d, a, x[*pp], 23, *pc); pp++; pc++;
}
/* Round 4 */
for (i = 0; i < 4; i++) {
II(a, b, c, d, x[*pp], 6, *pc); pp++; pc++;
II(d, a, b, c, x[*pp], 10, *pc); pp++; pc++;
II(c, d, a, b, x[*pp], 15, *pc); pp++; pc++;
II(b, c, d, a, x[*pp], 21, *pc); pp++; pc++;
}
#else
/* Round 1 */
#define S11 7
#define S12 12
#define S13 17
#define S14 22
FF(a, b, c, d, x[ 0], S11, 0xd76aa478); /* 1 */
FF(d, a, b, c, x[ 1], S12, 0xe8c7b756); /* 2 */
FF(c, d, a, b, x[ 2], S13, 0x242070db); /* 3 */
FF(b, c, d, a, x[ 3], S14, 0xc1bdceee); /* 4 */
FF(a, b, c, d, x[ 4], S11, 0xf57c0faf); /* 5 */
FF(d, a, b, c, x[ 5], S12, 0x4787c62a); /* 6 */
FF(c, d, a, b, x[ 6], S13, 0xa8304613); /* 7 */
FF(b, c, d, a, x[ 7], S14, 0xfd469501); /* 8 */
FF(a, b, c, d, x[ 8], S11, 0x698098d8); /* 9 */
FF(d, a, b, c, x[ 9], S12, 0x8b44f7af); /* 10 */
FF(c, d, a, b, x[10], S13, 0xffff5bb1); /* 11 */
FF(b, c, d, a, x[11], S14, 0x895cd7be); /* 12 */
FF(a, b, c, d, x[12], S11, 0x6b901122); /* 13 */
FF(d, a, b, c, x[13], S12, 0xfd987193); /* 14 */
FF(c, d, a, b, x[14], S13, 0xa679438e); /* 15 */
FF(b, c, d, a, x[15], S14, 0x49b40821); /* 16 */
/* Round 2 */
#define S21 5
#define S22 9
#define S23 14
#define S24 20
GG(a, b, c, d, x[ 1], S21, 0xf61e2562); /* 17 */
GG(d, a, b, c, x[ 6], S22, 0xc040b340); /* 18 */
GG(c, d, a, b, x[11], S23, 0x265e5a51); /* 19 */
GG(b, c, d, a, x[ 0], S24, 0xe9b6c7aa); /* 20 */
GG(a, b, c, d, x[ 5], S21, 0xd62f105d); /* 21 */
GG(d, a, b, c, x[10], S22, 0x2441453); /* 22 */
GG(c, d, a, b, x[15], S23, 0xd8a1e681); /* 23 */
GG(b, c, d, a, x[ 4], S24, 0xe7d3fbc8); /* 24 */
GG(a, b, c, d, x[ 9], S21, 0x21e1cde6); /* 25 */
GG(d, a, b, c, x[14], S22, 0xc33707d6); /* 26 */
GG(c, d, a, b, x[ 3], S23, 0xf4d50d87); /* 27 */
GG(b, c, d, a, x[ 8], S24, 0x455a14ed); /* 28 */
GG(a, b, c, d, x[13], S21, 0xa9e3e905); /* 29 */
GG(d, a, b, c, x[ 2], S22, 0xfcefa3f8); /* 30 */
GG(c, d, a, b, x[ 7], S23, 0x676f02d9); /* 31 */
GG(b, c, d, a, x[12], S24, 0x8d2a4c8a); /* 32 */
/* Round 3 */
#define S31 4
#define S32 11
#define S33 16
#define S34 23
HH(a, b, c, d, x[ 5], S31, 0xfffa3942); /* 33 */
HH(d, a, b, c, x[ 8], S32, 0x8771f681); /* 34 */
HH(c, d, a, b, x[11], S33, 0x6d9d6122); /* 35 */
HH(b, c, d, a, x[14], S34, 0xfde5380c); /* 36 */
HH(a, b, c, d, x[ 1], S31, 0xa4beea44); /* 37 */
HH(d, a, b, c, x[ 4], S32, 0x4bdecfa9); /* 38 */
HH(c, d, a, b, x[ 7], S33, 0xf6bb4b60); /* 39 */
HH(b, c, d, a, x[10], S34, 0xbebfbc70); /* 40 */
HH(a, b, c, d, x[13], S31, 0x289b7ec6); /* 41 */
HH(d, a, b, c, x[ 0], S32, 0xeaa127fa); /* 42 */
HH(c, d, a, b, x[ 3], S33, 0xd4ef3085); /* 43 */
HH(b, c, d, a, x[ 6], S34, 0x4881d05); /* 44 */
HH(a, b, c, d, x[ 9], S31, 0xd9d4d039); /* 45 */
HH(d, a, b, c, x[12], S32, 0xe6db99e5); /* 46 */
HH(c, d, a, b, x[15], S33, 0x1fa27cf8); /* 47 */
HH(b, c, d, a, x[ 2], S34, 0xc4ac5665); /* 48 */
/* Round 4 */
#define S41 6
#define S42 10
#define S43 15
#define S44 21
II(a, b, c, d, x[ 0], S41, 0xf4292244); /* 49 */
II(d, a, b, c, x[ 7], S42, 0x432aff97); /* 50 */
II(c, d, a, b, x[14], S43, 0xab9423a7); /* 51 */
II(b, c, d, a, x[ 5], S44, 0xfc93a039); /* 52 */
II(a, b, c, d, x[12], S41, 0x655b59c3); /* 53 */
II(d, a, b, c, x[ 3], S42, 0x8f0ccc92); /* 54 */
II(c, d, a, b, x[10], S43, 0xffeff47d); /* 55 */
II(b, c, d, a, x[ 1], S44, 0x85845dd1); /* 56 */
II(a, b, c, d, x[ 8], S41, 0x6fa87e4f); /* 57 */
II(d, a, b, c, x[15], S42, 0xfe2ce6e0); /* 58 */
II(c, d, a, b, x[ 6], S43, 0xa3014314); /* 59 */
II(b, c, d, a, x[13], S44, 0x4e0811a1); /* 60 */
II(a, b, c, d, x[ 4], S41, 0xf7537e82); /* 61 */
II(d, a, b, c, x[11], S42, 0xbd3af235); /* 62 */
II(c, d, a, b, x[ 2], S43, 0x2ad7d2bb); /* 63 */
II(b, c, d, a, x[ 9], S44, 0xeb86d391); /* 64 */
#endif
state[0] += a;
state[1] += b;
state[2] += c;
state[3] += d;
/* Zeroize sensitive information. */
memset(x, 0, sizeof(x));
}
static char*
__md5_to64(char *s, unsigned v, int n)
{
while (--n >= 0) {
*s++ = ascii64[v & 0x3f];
v >>= 6;
}
return s;
}
/*
* UNIX password
*
* Use MD5 for what it is best at...
*/
#define MD5_OUT_BUFSIZE 36
static char *
md5_crypt(char passwd[MD5_OUT_BUFSIZE], const unsigned char *pw, const unsigned char *salt)
{
const unsigned char *sp, *ep;
char *p;
unsigned char final[17]; /* final[16] exists only to aid in looping */
int sl, pl, i, pw_len;
struct MD5Context ctx, ctx1;
/* Refine the Salt first */
sp = salt;
sp += MD5_MAGIC_LEN;
/* It stops at the first '$', max 8 chars */
for (ep = sp; *ep && *ep != '$' && ep < (sp+8); ep++)
continue;
/* get the length of the true salt */
sl = ep - sp;
__md5_Init(&ctx);
/* The password first, since that is what is most unknown */
pw_len = strlen((char*)pw);
__md5_Update(&ctx, pw, pw_len);
/* Then our magic string */
__md5_Update(&ctx, __md5__magic, MD5_MAGIC_LEN);
/* Then the raw salt */
__md5_Update(&ctx, sp, sl);
/* Then just as many characters of the MD5(pw, salt, pw) */
__md5_Init(&ctx1);
__md5_Update(&ctx1, pw, pw_len);
__md5_Update(&ctx1, sp, sl);
__md5_Update(&ctx1, pw, pw_len);
__md5_Final(final, &ctx1);
for (pl = pw_len; pl > 0; pl -= 16)
__md5_Update(&ctx, final, pl > 16 ? 16 : pl);
/* Don't leave anything around in vm they could use. */
//TODO: the above comment seems to be wrong. final is used later.
memset(final, 0, sizeof(final));
/* Then something really weird... */
for (i = pw_len; i; i >>= 1) {
__md5_Update(&ctx, ((i & 1) ? final : (const unsigned char *) pw), 1);
}
/* Now make the output string */
passwd[0] = '$';
passwd[1] = '1';
passwd[2] = '$';
strncpy(passwd + 3, (char*)sp, sl);
passwd[sl + 3] = '$';
__md5_Final(final, &ctx);
/*
* and now, just to make sure things don't run too fast
* On a 60 Mhz Pentium this takes 34 msec, so you would
* need 30 seconds to build a 1000 entry dictionary...
*/
for (i = 0; i < 1000; i++) {
__md5_Init(&ctx1);
if (i & 1)
__md5_Update(&ctx1, pw, pw_len);
else
__md5_Update(&ctx1, final, 16);
if (i % 3)
__md5_Update(&ctx1, sp, sl);
if (i % 7)
__md5_Update(&ctx1, pw, pw_len);
if (i & 1)
__md5_Update(&ctx1, final, 16);
else
__md5_Update(&ctx1, pw, pw_len);
__md5_Final(final, &ctx1);
}
p = passwd + sl + 4; /* 12 bytes max (sl is up to 8 bytes) */
/* Add 5*4+2 = 22 bytes of hash, + NUL byte. */
final[16] = final[5];
for (i = 0; i < 5; i++) {
unsigned l = (final[i] << 16) | (final[i+6] << 8) | final[i+12];
p = __md5_to64(p, l, 4);
}
p = __md5_to64(p, final[11], 2);
*p = '\0';
/* Don't leave anything around in vm they could use. */
memset(final, 0, sizeof(final));
return passwd;
}
#undef MD5_SIZE_OVER_SPEED
#undef MD5_MAGIC_STR
#undef MD5_MAGIC_LEN
#undef __md5_Encode
#undef __md5_Decode
#undef F
#undef G
#undef H
#undef I
#undef ROTATE_LEFT
#undef FF
#undef GG
#undef HH
#undef II
#undef S11
#undef S12
#undef S13
#undef S14
#undef S21
#undef S22
#undef S23
#undef S24
#undef S31
#undef S32
#undef S33
#undef S34
#undef S41
#undef S42
#undef S43
#undef S44
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