crypt_blowfish.c

/*
 * The crypt_blowfish homepage is:
 *
 *  http://www.openwall.com/crypt/
 *
 * This code comes from John the Ripper password cracker, with reentrant
 * and crypt(3) interfaces added, but optimizations specific to password
 * cracking removed.
 *
 * Written by Solar Designer <solar at openwall.com> in 1998-2014.
 * No copyright is claimed, and the software is hereby placed in the public
 * domain.  In case this attempt to disclaim copyright and place the software
 * in the public domain is deemed null and void, then the software is
 * Copyright (c) 1998-2014 Solar Designer and it is hereby released to the
 * general public under the following terms:
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted.
 *
 * There's ABSOLUTELY NO WARRANTY, express or implied.
 *
 * It is my intent that you should be able to use this on your system,
 * as part of a software package, or anywhere else to improve security,
 * ensure compatibility, or for any other purpose.  I would appreciate
 * it if you give credit where it is due and keep your modifications in
 * the public domain as well, but I don't require that in order to let
 * you place this code and any modifications you make under a license
 * of your choice.
 *
 * This implementation is fully compatible with OpenBSD's bcrypt.c for prefix
 * "$2b$", originally by Niels Provos <provos at citi.umich.edu>, and it uses
 * some of his ideas.  The password hashing algorithm was designed by David
 * Mazieres <dm at lcs.mit.edu>.  For information on the level of
 * compatibility for bcrypt hash prefixes other than "$2b$", please refer to
 * the comments in BF_set_key() below and to the included crypt(3) man page.
 *
 * There's a paper on the algorithm that explains its design decisions:
 *
 *  http://www.usenix.org/events/usenix99/provos.html
 *
 * Some of the tricks in BF_ROUND might be inspired by Eric Young's
 * Blowfish library (I can't be sure if I would think of something if I
 * hadn't seen his code).
 */

#include <string.h>

#include <errno.h>
#ifndef __set_errno
#define __set_errno(val) errno = (val)
#endif

/* Just to make sure the prototypes match the actual definitions */
#include "crypt_blowfish.h"

#ifdef __i386__
#define BF_SCALE      1
#elif defined(__x86_64__) || defined(__alpha__) || defined(__hppa__)
#define BF_SCALE      1
#else
#define BF_SCALE      0
#endif

typedef unsigned int BF_word;
typedef signed int BF_word_signed;

/* Number of Blowfish rounds, this is also hardcoded into a few places */
#define BF_N        16

typedef BF_word BF_key[BF_N + 2];

typedef struct {
  BF_word S[4][0x100];
  BF_key P;
} BF_ctx;

/*
 * Magic IV for 64 Blowfish encryptions that we do at the end.
 * The string is "OrpheanBeholderScryDoubt" on big-endian.
 */
static BF_word BF_magic_w[6] = {
  0x4F727068, 0x65616E42, 0x65686F6C,
  0x64657253, 0x63727944, 0x6F756274
};

/*
 * P-box and S-box tables initialized with digits of Pi.
 */
static BF_ctx BF_init_state = {
  {
    {
      0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7,
      0xb8e1afed, 0x6a267e96, 0xba7c9045, 0xf12c7f99,
      0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16,
      0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e,
      0x0d95748f, 0x728eb658, 0x718bcd58, 0x82154aee,
      0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
      0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef,
      0x8e79dcb0, 0x603a180e, 0x6c9e0e8b, 0xb01e8a3e,
      0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60,
      0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440,
      0x55ca396a, 0x2aab10b6, 0xb4cc5c34, 0x1141e8ce,
      0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
      0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e,
      0xafd6ba33, 0x6c24cf5c, 0x7a325381, 0x28958677,
      0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193,
      0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032,
      0xef845d5d, 0xe98575b1, 0xdc262302, 0xeb651b88,
      0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
      0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e,
      0x21c66842, 0xf6e96c9a, 0x670c9c61, 0xabd388f0,
      0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3,
      0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98,
      0xa1f1651d, 0x39af0176, 0x66ca593e, 0x82430e88,
      0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
      0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6,
      0x4ed3aa62, 0x363f7706, 0x1bfedf72, 0x429b023d,
      0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b,
      0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7,
      0xe3fe501a, 0xb6794c3b, 0x976ce0bd, 0x04c006ba,
      0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
      0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f,
      0x6dfc511f, 0x9b30952c, 0xcc814544, 0xaf5ebd09,
      0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3,
      0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb,
      0x5579c0bd, 0x1a60320a, 0xd6a100c6, 0x402c7279,
      0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
      0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab,
      0x323db5fa, 0xfd238760, 0x53317b48, 0x3e00df82,
      0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db,
      0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573,
      0x695b27b0, 0xbbca58c8, 0xe1ffa35d, 0xb8f011a0,
      0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
      0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790,
      0xe1ddf2da, 0xa4cb7e33, 0x62fb1341, 0xcee4c6e8,
      0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4,
      0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0,
      0xd08ed1d0, 0xafc725e0, 0x8e3c5b2f, 0x8e7594b7,
      0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
      0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad,
      0x2f2f2218, 0xbe0e1777, 0xea752dfe, 0x8b021fa1,
      0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299,
      0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9,
      0x165fa266, 0x80957705, 0x93cc7314, 0x211a1477,
      0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
      0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49,
      0x00250e2d, 0x2071b35e, 0x226800bb, 0x57b8e0af,
      0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa,
      0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5,
      0x83260376, 0x6295cfa9, 0x11c81968, 0x4e734a41,
      0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
      0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400,
      0x08ba6fb5, 0x571be91f, 0xf296ec6b, 0x2a0dd915,
      0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664,
      0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a
    }, {
      0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623,
      0xad6ea6b0, 0x49a7df7d, 0x9cee60b8, 0x8fedb266,
      0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1,
      0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e,
      0x3f54989a, 0x5b429d65, 0x6b8fe4d6, 0x99f73fd6,
      0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
      0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e,
      0x09686b3f, 0x3ebaefc9, 0x3c971814, 0x6b6a70a1,
      0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737,
      0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8,
      0xb03ada37, 0xf0500c0d, 0xf01c1f04, 0x0200b3ff,
      0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
      0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701,
      0x3ae5e581, 0x37c2dadc, 0xc8b57634, 0x9af3dda7,
      0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41,
      0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331,
      0x4e548b38, 0x4f6db908, 0x6f420d03, 0xf60a04bf,
      0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
      0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e,
      0x5512721f, 0x2e6b7124, 0x501adde6, 0x9f84cd87,
      0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c,
      0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2,
      0xef1c1847, 0x3215d908, 0xdd433b37, 0x24c2ba16,
      0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
      0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b,
      0x043556f1, 0xd7a3c76b, 0x3c11183b, 0x5924a509,
      0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e,
      0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3,
      0x771fe71c, 0x4e3d06fa, 0x2965dcb9, 0x99e71d0f,
      0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
      0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4,
      0xf2f74ea7, 0x361d2b3d, 0x1939260f, 0x19c27960,
      0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66,
      0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28,
      0xc332ddef, 0xbe6c5aa5, 0x65582185, 0x68ab9802,
      0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
      0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510,
      0x13cca830, 0xeb61bd96, 0x0334fe1e, 0xaa0363cf,
      0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14,
      0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e,
      0x648b1eaf, 0x19bdf0ca, 0xa02369b9, 0x655abb50,
      0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
      0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8,
      0xf837889a, 0x97e32d77, 0x11ed935f, 0x16681281,
      0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99,
      0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696,
      0xcdb30aeb, 0x532e3054, 0x8fd948e4, 0x6dbc3128,
      0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
      0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0,
      0x45eee2b6, 0xa3aaabea, 0xdb6c4f15, 0xfacb4fd0,
      0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105,
      0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250,
      0xcf62a1f2, 0x5b8d2646, 0xfc8883a0, 0xc1c7b6a3,
      0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
      0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00,
      0x58428d2a, 0x0c55f5ea, 0x1dadf43e, 0x233f7061,
      0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb,
      0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e,
      0xa6078084, 0x19f8509e, 0xe8efd855, 0x61d99735,
      0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
      0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9,
      0xdb73dbd3, 0x105588cd, 0x675fda79, 0xe3674340,
      0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20,
      0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7
    }, {
      0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934,
      0x411520f7, 0x7602d4f7, 0xbcf46b2e, 0xd4a20068,
      0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af,
      0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840,
      0x4d95fc1d, 0x96b591af, 0x70f4ddd3, 0x66a02f45,
      0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
      0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a,
      0x28507825, 0x530429f4, 0x0a2c86da, 0xe9b66dfb,
      0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee,
      0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6,
      0xaace1e7c, 0xd3375fec, 0xce78a399, 0x406b2a42,
      0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
      0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2,
      0x3a6efa74, 0xdd5b4332, 0x6841e7f7, 0xca7820fb,
      0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527,
      0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b,
      0x55a867bc, 0xa1159a58, 0xcca92963, 0x99e1db33,
      0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
      0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3,
      0x95c11548, 0xe4c66d22, 0x48c1133f, 0xc70f86dc,
      0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17,
      0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564,
      0x257b7834, 0x602a9c60, 0xdff8e8a3, 0x1f636c1b,
      0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
      0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922,
      0x85b2a20e, 0xe6ba0d99, 0xde720c8c, 0x2da2f728,
      0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0,
      0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e,
      0x0a476341, 0x992eff74, 0x3a6f6eab, 0xf4f8fd37,
      0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
      0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804,
      0xf1290dc7, 0xcc00ffa3, 0xb5390f92, 0x690fed0b,
      0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3,
      0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb,
      0x37392eb3, 0xcc115979, 0x8026e297, 0xf42e312d,
      0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
      0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350,
      0x1a6b1018, 0x11caedfa, 0x3d25bdd8, 0xe2e1c3c9,
      0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a,
      0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe,
      0x9dbc8057, 0xf0f7c086, 0x60787bf8, 0x6003604d,
      0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
      0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f,
      0x77a057be, 0xbde8ae24, 0x55464299, 0xbf582e61,
      0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2,
      0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9,
      0x7aeb2661, 0x8b1ddf84, 0x846a0e79, 0x915f95e2,
      0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
      0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e,
      0xb77f19b6, 0xe0a9dc09, 0x662d09a1, 0xc4324633,
      0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10,
      0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169,
      0xdcb7da83, 0x573906fe, 0xa1e2ce9b, 0x4fcd7f52,
      0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
      0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5,
      0xf0177a28, 0xc0f586e0, 0x006058aa, 0x30dc7d62,
      0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634,
      0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76,
      0x6f05e409, 0x4b7c0188, 0x39720a3d, 0x7c927c24,
      0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
      0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4,
      0x1e50ef5e, 0xb161e6f8, 0xa28514d9, 0x6c51133c,
      0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837,
      0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0
    }, {
      0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b,
      0x5cb0679e, 0x4fa33742, 0xd3822740, 0x99bc9bbe,
      0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b,
      0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4,
      0x5748ab2f, 0xbc946e79, 0xc6a376d2, 0x6549c2c8,
      0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
      0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304,
      0xa1fad5f0, 0x6a2d519a, 0x63ef8ce2, 0x9a86ee22,
      0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4,
      0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6,
      0x2826a2f9, 0xa73a3ae1, 0x4ba99586, 0xef5562e9,
      0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
      0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593,
      0xe990fd5a, 0x9e34d797, 0x2cf0b7d9, 0x022b8b51,
      0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28,
      0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c,
      0xe029ac71, 0xe019a5e6, 0x47b0acfd, 0xed93fa9b,
      0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
      0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c,
      0x15056dd4, 0x88f46dba, 0x03a16125, 0x0564f0bd,
      0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a,
      0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319,
      0x7533d928, 0xb155fdf5, 0x03563482, 0x8aba3cbb,
      0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
      0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991,
      0xea7a90c2, 0xfb3e7bce, 0x5121ce64, 0x774fbe32,
      0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680,
      0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166,
      0xb39a460a, 0x6445c0dd, 0x586cdecf, 0x1c20c8ae,
      0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
      0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5,
      0x72eacea8, 0xfa6484bb, 0x8d6612ae, 0xbf3c6f47,
      0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370,
      0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d,
      0x4040cb08, 0x4eb4e2cc, 0x34d2466a, 0x0115af84,
      0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
      0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8,
      0x611560b1, 0xe7933fdc, 0xbb3a792b, 0x344525bd,
      0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9,
      0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7,
      0x1a908749, 0xd44fbd9a, 0xd0dadecb, 0xd50ada38,
      0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
      0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c,
      0xbf97222c, 0x15e6fc2a, 0x0f91fc71, 0x9b941525,
      0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1,
      0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442,
      0xe0ec6e0e, 0x1698db3b, 0x4c98a0be, 0x3278e964,
      0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
      0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8,
      0xdf359f8d, 0x9b992f2e, 0xe60b6f47, 0x0fe3f11d,
      0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f,
      0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299,
      0xf523f357, 0xa6327623, 0x93a83531, 0x56cccd02,
      0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
      0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614,
      0xe6c6c7bd, 0x327a140a, 0x45e1d006, 0xc3f27b9a,
      0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6,
      0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b,
      0x53113ec0, 0x1640e3d3, 0x38abbd60, 0x2547adf0,
      0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
      0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e,
      0x1948c25c, 0x02fb8a8c, 0x01c36ae4, 0xd6ebe1f9,
      0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f,
      0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6
    }
  }, {
    0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344,
    0xa4093822, 0x299f31d0, 0x082efa98, 0xec4e6c89,
    0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c,
    0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917,
    0x9216d5d9, 0x8979fb1b
  }
};

static unsigned char BF_itoa64[64 + 1] =
  "./ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789";

static unsigned char BF_atoi64[0x60] = {
  64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 0, 1,
  54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 64, 64, 64, 64,
  64, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
  17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 64, 64, 64, 64, 64,
  64, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42,
  43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 64, 64, 64, 64, 64
};

#define BF_safe_atoi64(dst, src) \
{ \
  tmp = (unsigned char)(src); \
  if ((unsigned int)(tmp -= 0x20) >= 0x60) return -1; \
  tmp = BF_atoi64[tmp]; \
  if (tmp > 63) return -1; \
  (dst) = tmp; \
}

static int BF_decode(BF_word *dst, const char *src, int size)
{
  unsigned char *dptr = (unsigned char *)dst;
  unsigned char *end = dptr + size;
  const unsigned char *sptr = (const unsigned char *)src;
  unsigned int tmp, c1, c2, c3, c4;

  do {
    BF_safe_atoi64(c1, *sptr++);
    BF_safe_atoi64(c2, *sptr++);
    *dptr++ = (c1 << 2) | ((c2 & 0x30) >> 4);
    if (dptr >= end) break;

    BF_safe_atoi64(c3, *sptr++);
    *dptr++ = ((c2 & 0x0F) << 4) | ((c3 & 0x3C) >> 2);
    if (dptr >= end) break;

    BF_safe_atoi64(c4, *sptr++);
    *dptr++ = ((c3 & 0x03) << 6) | c4;
  } while (dptr < end);

  return 0;
}

static void BF_encode(char *dst, const BF_word *src, int size)
{
  const unsigned char *sptr = (const unsigned char *)src;
  const unsigned char *end = sptr + size;
  unsigned char *dptr = (unsigned char *)dst;
  unsigned int c1, c2;

  do {
    c1 = *sptr++;
    *dptr++ = BF_itoa64[c1 >> 2];
    c1 = (c1 & 0x03) << 4;
    if (sptr >= end) {
      *dptr++ = BF_itoa64[c1];
      break;
    }

    c2 = *sptr++;
    c1 |= c2 >> 4;
    *dptr++ = BF_itoa64[c1];
    c1 = (c2 & 0x0f) << 2;
    if (sptr >= end) {
      *dptr++ = BF_itoa64[c1];
      break;
    }

    c2 = *sptr++;
    c1 |= c2 >> 6;
    *dptr++ = BF_itoa64[c1];
    *dptr++ = BF_itoa64[c2 & 0x3f];
  } while (sptr < end);
}

static void BF_swap(BF_word *x, int count)
{
  static int endianness_check = 1;
  char *is_little_endian = (char *)&endianness_check;
  BF_word tmp;

  if (*is_little_endian)
  do {
    tmp = *x;
    tmp = (tmp << 16) | (tmp >> 16);
    *x++ = ((tmp & 0x00FF00FF) << 8) | ((tmp >> 8) & 0x00FF00FF);
  } while (--count);
}

#if BF_SCALE
/* Architectures which can shift addresses left by 2 bits with no extra cost */
#define BF_ROUND(L, R, N) \
  tmp1 = L & 0xFF; \
  tmp2 = L >> 8; \
  tmp2 &= 0xFF; \
  tmp3 = L >> 16; \
  tmp3 &= 0xFF; \
  tmp4 = L >> 24; \
  tmp1 = data.ctx.S[3][tmp1]; \
  tmp2 = data.ctx.S[2][tmp2]; \
  tmp3 = data.ctx.S[1][tmp3]; \
  tmp3 += data.ctx.S[0][tmp4]; \
  tmp3 ^= tmp2; \
  R ^= data.ctx.P[N + 1]; \
  tmp3 += tmp1; \
  R ^= tmp3;
#else
/* Architectures with no complicated addressing modes supported */
#define BF_INDEX(S, i) \
  (*((BF_word *)(((unsigned char *)S) + (i))))
#define BF_ROUND(L, R, N) \
  tmp1 = L & 0xFF; \
  tmp1 <<= 2; \
  tmp2 = L >> 6; \
  tmp2 &= 0x3FC; \
  tmp3 = L >> 14; \
  tmp3 &= 0x3FC; \
  tmp4 = L >> 22; \
  tmp4 &= 0x3FC; \
  tmp1 = BF_INDEX(data.ctx.S[3], tmp1); \
  tmp2 = BF_INDEX(data.ctx.S[2], tmp2); \
  tmp3 = BF_INDEX(data.ctx.S[1], tmp3); \
  tmp3 += BF_INDEX(data.ctx.S[0], tmp4); \
  tmp3 ^= tmp2; \
  R ^= data.ctx.P[N + 1]; \
  tmp3 += tmp1; \
  R ^= tmp3;
#endif

/*
 * Encrypt one block, BF_N is hardcoded here.
 */
#define BF_ENCRYPT \
  L ^= data.ctx.P[0]; \
  BF_ROUND(L, R, 0); \
  BF_ROUND(R, L, 1); \
  BF_ROUND(L, R, 2); \
  BF_ROUND(R, L, 3); \
  BF_ROUND(L, R, 4); \
  BF_ROUND(R, L, 5); \
  BF_ROUND(L, R, 6); \
  BF_ROUND(R, L, 7); \
  BF_ROUND(L, R, 8); \
  BF_ROUND(R, L, 9); \
  BF_ROUND(L, R, 10); \
  BF_ROUND(R, L, 11); \
  BF_ROUND(L, R, 12); \
  BF_ROUND(R, L, 13); \
  BF_ROUND(L, R, 14); \
  BF_ROUND(R, L, 15); \
  tmp4 = R; \
  R = L; \
  L = tmp4 ^ data.ctx.P[BF_N + 1];

#define BF_body() \
  L = R = 0; \
  ptr = data.ctx.P; \
  do { \
    ptr += 2; \
    BF_ENCRYPT; \
    *(ptr - 2) = L; \
    *(ptr - 1) = R; \
  } while (ptr < &data.ctx.P[BF_N + 2]); \
\
  ptr = data.ctx.S[0]; \
  do { \
    ptr += 2; \
    BF_ENCRYPT; \
    *(ptr - 2) = L; \
    *(ptr - 1) = R; \
  } while (ptr < &data.ctx.S[3][0xFF]);

static void BF_set_key(const char *key, BF_key expanded, BF_key initial,
    unsigned char flags)
{
  const char *ptr = key;
  unsigned int bug, i, j;
  BF_word safety, sign, diff, tmp[2];

/*
 * There was a sign extension bug in older revisions of this function.  While
 * we would have liked to simply fix the bug and move on, we have to provide
 * a backwards compatibility feature (essentially the bug) for some systems and
 * a safety measure for some others.  The latter is needed because for certain
 * multiple inputs to the buggy algorithm there exist easily found inputs to
 * the correct algorithm that produce the same hash.  Thus, we optionally
 * deviate from the correct algorithm just enough to avoid such collisions.
 * While the bug itself affected the majority of passwords containing
 * characters with the 8th bit set (although only a percentage of those in a
 * collision-producing way), the anti-collision safety measure affects
 * only a subset of passwords containing the '\xff' character (not even all of
 * those passwords, just some of them).  This character is not found in valid
 * UTF-8 sequences and is rarely used in popular 8-bit character encodings.
 * Thus, the safety measure is unlikely to cause much annoyance, and is a
 * reasonable tradeoff to use when authenticating against existing hashes that
 * are not reliably known to have been computed with the correct algorithm.
 *
 * We use an approach that tries to minimize side-channel leaks of password
 * information - that is, we mostly use fixed-cost bitwise operations instead
 * of branches or table lookups.  (One conditional branch based on password
 * length remains.  It is not part of the bug aftermath, though, and is
 * difficult and possibly unreasonable to avoid given the use of C strings by
 * the caller, which results in similar timing leaks anyway.)
 *
 * For actual implementation, we set an array index in the variable "bug"
 * (0 means no bug, 1 means sign extension bug emulation) and a flag in the
 * variable "safety" (bit 16 is set when the safety measure is requested).
 * Valid combinations of settings are:
 *
 * Prefix "$2a$": bug = 0, safety = 0x10000
 * Prefix "$2b$": bug = 0, safety = 0
 * Prefix "$2x$": bug = 1, safety = 0
 * Prefix "$2y$": bug = 0, safety = 0
 */
  bug = (unsigned int)flags & 1;
  safety = ((BF_word)flags & 2) << 15;

  sign = diff = 0;

  for (i = 0; i < BF_N + 2; i++) {
    tmp[0] = tmp[1] = 0;
    for (j = 0; j < 4; j++) {
      tmp[0] <<= 8;
      tmp[0] |= (unsigned char)*ptr; /* correct */
      tmp[1] <<= 8;
      tmp[1] |= (BF_word_signed)(signed char)*ptr; /* bug */
/*
 * Sign extension in the first char has no effect - nothing to overwrite yet,
 * and those extra 24 bits will be fully shifted out of the 32-bit word.  For
 * chars 2, 3, 4 in each four-char block, we set bit 7 of "sign" if sign
 * extension in tmp[1] occurs.  Once this flag is set, it remains set.
 */
      if (j)
        sign |= tmp[1] & 0x80;
      if (!*ptr)
        ptr = key;
      else
        ptr++;
    }
    diff |= tmp[0] ^ tmp[1]; /* Non-zero on any differences */

    expanded[i] = tmp[bug];
    initial[i] = BF_init_state.P[i] ^ tmp[bug];
  }

/*
 * At this point, "diff" is zero iff the correct and buggy algorithms produced
 * exactly the same result.  If so and if "sign" is non-zero, which indicates
 * that there was a non-benign sign extension, this means that we have a
 * collision between the correctly computed hash for this password and a set of
 * passwords that could be supplied to the buggy algorithm.  Our safety measure
 * is meant to protect from such many-buggy to one-correct collisions, by
 * deviating from the correct algorithm in such cases.  Let's check for this.
 */
  diff |= diff >> 16; /* still zero iff exact match */
  diff &= 0xffff; /* ditto */
  diff += 0xffff; /* bit 16 set iff "diff" was non-zero (on non-match) */
  sign <<= 9; /* move the non-benign sign extension flag to bit 16 */
  sign &= ~diff & safety; /* action needed? */

/*
 * If we have determined that we need to deviate from the correct algorithm,
 * flip bit 16 in initial expanded key.  (The choice of 16 is arbitrary, but
 * let's stick to it now.  It came out of the approach we used above, and it's
 * not any worse than any other choice we could make.)
 *
 * It is crucial that we don't do the same to the expanded key used in the main
 * Eksblowfish loop.  By doing it to only one of these two, we deviate from a
 * state that could be directly specified by a password to the buggy algorithm
 * (and to the fully correct one as well, but that's a side-effect).
 */
  initial[0] ^= sign;
}

static const unsigned char flags_by_subtype[26] =
  {2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 0};

static char *BF_crypt(const char *key, const char *setting,
  char *output, int size,
  BF_word min)
{
  struct {
    BF_ctx ctx;
    BF_key expanded_key;
    union {
      BF_word salt[4];
      BF_word output[6];
    } binary;
  } data;
  BF_word L, R;
  BF_word tmp1, tmp2, tmp3, tmp4;
  BF_word *ptr;
  BF_word count;
  int i;

  if (size < 7 + 22 + 31 + 1) {
    __set_errno(ERANGE);
    return NULL;
  }

  if (setting[0] != '$' ||
      setting[1] != '2' ||
      setting[2] < 'a' || setting[2] > 'z' ||
      !flags_by_subtype[(unsigned int)(unsigned char)setting[2] - 'a'] ||
      setting[3] != '$' ||
      setting[4] < '0' || setting[4] > '3' ||
      setting[5] < '0' || setting[5] > '9' ||
      (setting[4] == '3' && setting[5] > '1') ||
      setting[6] != '$') {
    __set_errno(EINVAL);
    return NULL;
  }

  count = (BF_word)1 << ((setting[4] - '0') * 10 + (setting[5] - '0'));
  if (count < min || BF_decode(data.binary.salt, &setting[7], 16)) {
    __set_errno(EINVAL);
    return NULL;
  }
  BF_swap(data.binary.salt, 4);

  BF_set_key(key, data.expanded_key, data.ctx.P,
      flags_by_subtype[(unsigned int)(unsigned char)setting[2] - 'a']);

  memcpy(data.ctx.S, BF_init_state.S, sizeof(data.ctx.S));

  L = R = 0;
  for (i = 0; i < BF_N + 2; i += 2) {
    L ^= data.binary.salt[i & 2];
    R ^= data.binary.salt[(i & 2) + 1];
    BF_ENCRYPT;
    data.ctx.P[i] = L;
    data.ctx.P[i + 1] = R;
  }

  ptr = data.ctx.S[0];
  do {
    ptr += 4;
    L ^= data.binary.salt[(BF_N + 2) & 3];
    R ^= data.binary.salt[(BF_N + 3) & 3];
    BF_ENCRYPT;
    *(ptr - 4) = L;
    *(ptr - 3) = R;

    L ^= data.binary.salt[(BF_N + 4) & 3];
    R ^= data.binary.salt[(BF_N + 5) & 3];
    BF_ENCRYPT;
    *(ptr - 2) = L;
    *(ptr - 1) = R;
  } while (ptr < &data.ctx.S[3][0xFF]);

  do {
    int done;

    for (i = 0; i < BF_N + 2; i += 2) {
      data.ctx.P[i] ^= data.expanded_key[i];
      data.ctx.P[i + 1] ^= data.expanded_key[i + 1];
    }

    done = 0;
    do {
      BF_body();
      if (done)
        break;
      done = 1;

      tmp1 = data.binary.salt[0];
      tmp2 = data.binary.salt[1];
      tmp3 = data.binary.salt[2];
      tmp4 = data.binary.salt[3];
      for (i = 0; i < BF_N; i += 4) {
        data.ctx.P[i] ^= tmp1;
        data.ctx.P[i + 1] ^= tmp2;
        data.ctx.P[i + 2] ^= tmp3;
        data.ctx.P[i + 3] ^= tmp4;
      }
      data.ctx.P[16] ^= tmp1;
      data.ctx.P[17] ^= tmp2;
    } while (1);
  } while (--count);

  for (i = 0; i < 6; i += 2) {
    L = BF_magic_w[i];
    R = BF_magic_w[i + 1];

    count = 64;
    do {
      BF_ENCRYPT;
    } while (--count);

    data.binary.output[i] = L;
    data.binary.output[i + 1] = R;
  }

  memcpy(output, setting, 7 + 22 - 1);
  output[7 + 22 - 1] = BF_itoa64[(int)
    BF_atoi64[(int)setting[7 + 22 - 1] - 0x20] & 0x30];

/* This has to be bug-compatible with the original implementation, so
 * only encode 23 of the 24 bytes. :-) */
  BF_swap(data.binary.output, 6);
  BF_encode(&output[7 + 22], data.binary.output, 23);
  output[7 + 22 + 31] = '\0';

  return output;
}

int _crypt_output_magic(const char *setting, char *output, int size)
{
  if (size < 3)
    return -1;

  output[0] = '*';
  output[1] = '0';
  output[2] = '\0';

  if (setting[0] == '*' && setting[1] == '0')
    output[1] = '1';

  return 0;
}

/*
 * Please preserve the runtime self-test.  It serves two purposes at once:
 *
 * 1. We really can't afford the risk of producing incompatible hashes e.g.
 * when there's something like gcc bug 26587 again, whereas an application or
 * library integrating this code might not also integrate our external tests or
 * it might not run them after every build.  Even if it does, the miscompile
 * might only occur on the production build, but not on a testing build (such
 * as because of different optimization settings).  It is painful to recover
 * from incorrectly-computed hashes - merely fixing whatever broke is not
 * enough.  Thus, a proactive measure like this self-test is needed.
 *
 * 2. We don't want to leave sensitive data from our actual password hash
 * computation on the stack or in registers.  Previous revisions of the code
 * would do explicit cleanups, but simply running the self-test after hash
 * computation is more reliable.
 *
 * The performance cost of this quick self-test is around 0.6% at the "$2a$08"
 * setting.
 */
char *_crypt_blowfish_rn(const char *key, const char *setting,
  char *output, int size)
{
  const char *test_key = "8b \xd0\xc1\xd2\xcf\xcc\xd8";
  const char *test_setting = "$2a$00$abcdefghijklmnopqrstuu";
  static const char * const test_hashes[2] =
    {"i1D709vfamulimlGcq0qq3UvuUasvEa\0\x55", /* 'a', 'b', 'y' */
    "VUrPmXD6q/nVSSp7pNDhCR9071IfIRe\0\x55"}; /* 'x' */
  const char *test_hash = test_hashes[0];
  char *retval;
  const char *p;
  int save_errno, ok;
  struct {
    char s[7 + 22 + 1];
    char o[7 + 22 + 31 + 1 + 1 + 1];
  } buf;

/* Hash the supplied password */
  _crypt_output_magic(setting, output, size);
  retval = BF_crypt(key, setting, output, size, 16);
  save_errno = errno;

/*
 * Do a quick self-test.  It is important that we make both calls to BF_crypt()
 * from the same scope such that they likely use the same stack locations,
 * which makes the second call overwrite the first call's sensitive data on the
 * stack and makes it more likely that any alignment related issues would be
 * detected by the self-test.
 */
  memcpy(buf.s, test_setting, sizeof(buf.s));
  if (retval) {
    unsigned int flags = flags_by_subtype[
        (unsigned int)(unsigned char)setting[2] - 'a'];
    test_hash = test_hashes[flags & 1];
    buf.s[2] = setting[2];
  }
  memset(buf.o, 0x55, sizeof(buf.o));
  buf.o[sizeof(buf.o) - 1] = 0;
  p = BF_crypt(test_key, buf.s, buf.o, sizeof(buf.o) - (1 + 1), 1);

  ok = (p == buf.o &&
      !memcmp(p, buf.s, 7 + 22) &&
      !memcmp(p + (7 + 22), test_hash, 31 + 1 + 1 + 1));

  {
    const char *k = "\xff\xa3" "34" "\xff\xff\xff\xa3" "345";
    BF_key ae, ai, ye, yi;
    BF_set_key(k, ae, ai, 2); /* $2a$ */
    BF_set_key(k, ye, yi, 4); /* $2y$ */
    ai[0] ^= 0x10000; /* undo the safety (for comparison) */
    ok = ok && ai[0] == 0xdb9c59bc && ye[17] == 0x33343500 &&
        !memcmp(ae, ye, sizeof(ae)) &&
        !memcmp(ai, yi, sizeof(ai));
  }

  __set_errno(save_errno);
  if (ok)
    return retval;

/* Should not happen */
  _crypt_output_magic(setting, output, size);
  __set_errno(EINVAL); /* pretend we don't support this hash type */
  return NULL;
}

char *_crypt_gensalt_blowfish_rn(const char *prefix, unsigned long count,
  const char *input, int size, char *output, int output_size)
{
  if (size < 16 || output_size < 7 + 22 + 1 ||
      (count && (count < 4 || count > 31)) ||
      prefix[0] != '$' || prefix[1] != '2' ||
      (prefix[2] != 'a' && prefix[2] != 'b' && prefix[2] != 'y')) {
    if (output_size > 0) output[0] = '\0';
    __set_errno((output_size < 7 + 22 + 1) ? ERANGE : EINVAL);
    return NULL;
  }

  if (!count) count = 5;

  output[0] = '$';
  output[1] = '2';
  output[2] = prefix[2];
  output[3] = '$';
  output[4] = (unsigned char)('0' + count / 10);
  output[5] = '0' + count % 10;
  output[6] = '$';

  BF_encode(&output[7], (const BF_word *)input, 16);
  output[7 + 22] = '\0';

  return output;
}