/********************************************************************** random.c - $Author$ created at: Fri Dec 24 16:39:21 JST 1993 Copyright (C) 1993-2007 Yukihiro Matsumoto **********************************************************************/ /* This is based on trimmed version of MT19937. To get the original version, contact . The original copyright notice follows. A C-program for MT19937, with initialization improved 2002/2/10. Coded by Takuji Nishimura and Makoto Matsumoto. This is a faster version by taking Shawn Cokus's optimization, Matthe Bellew's simplification, Isaku Wada's real version. Before using, initialize the state by using init_genrand(mt, seed) or init_by_array(mt, init_key, key_length). Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. The names of its contributors may not be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. Any feedback is very welcome. http://www.math.keio.ac.jp/matumoto/emt.html email: matumoto@math.keio.ac.jp */ #include typedef int int_must_be_32bit_at_least[sizeof(int) * CHAR_BIT < 32 ? -1 : 1]; /* Period parameters */ #define N 624 #define M 397 #define MATRIX_A 0x9908b0dfU /* constant vector a */ #define UMASK 0x80000000U /* most significant w-r bits */ #define LMASK 0x7fffffffU /* least significant r bits */ #define MIXBITS(u,v) ( ((u) & UMASK) | ((v) & LMASK) ) #define TWIST(u,v) ((MIXBITS(u,v) >> 1) ^ ((v)&1U ? MATRIX_A : 0U)) enum {MT_MAX_STATE = N}; struct MT { /* assume int is enough to store 32bits */ unsigned int state[N]; /* the array for the state vector */ unsigned int *next; int left; }; #define genrand_initialized(mt) ((mt)->next != 0) #define uninit_genrand(mt) ((mt)->next = 0) /* initializes state[N] with a seed */ static void init_genrand(struct MT *mt, unsigned int s) { int j; mt->state[0] = s & 0xffffffffU; for (j=1; jstate[j] = (1812433253U * (mt->state[j-1] ^ (mt->state[j-1] >> 30)) + j); /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ /* In the previous versions, MSBs of the seed affect */ /* only MSBs of the array state[]. */ /* 2002/01/09 modified by Makoto Matsumoto */ mt->state[j] &= 0xffffffff; /* for >32 bit machines */ } mt->left = 1; mt->next = mt->state + N - 1; } /* initialize by an array with array-length */ /* init_key is the array for initializing keys */ /* key_length is its length */ /* slight change for C++, 2004/2/26 */ static void init_by_array(struct MT *mt, unsigned int init_key[], int key_length) { int i, j, k; init_genrand(mt, 19650218U); i=1; j=0; k = (N>key_length ? N : key_length); for (; k; k--) { mt->state[i] = (mt->state[i] ^ ((mt->state[i-1] ^ (mt->state[i-1] >> 30)) * 1664525U)) + init_key[j] + j; /* non linear */ mt->state[i] &= 0xffffffffU; /* for WORDSIZE > 32 machines */ i++; j++; if (i>=N) { mt->state[0] = mt->state[N-1]; i=1; } if (j>=key_length) j=0; } for (k=N-1; k; k--) { mt->state[i] = (mt->state[i] ^ ((mt->state[i-1] ^ (mt->state[i-1] >> 30)) * 1566083941U)) - i; /* non linear */ mt->state[i] &= 0xffffffffU; /* for WORDSIZE > 32 machines */ i++; if (i>=N) { mt->state[0] = mt->state[N-1]; i=1; } } mt->state[0] = 0x80000000U; /* MSB is 1; assuring non-zero initial array */ } static void next_state(struct MT *mt) { unsigned int *p = mt->state; int j; /* if init_genrand() has not been called, */ /* a default initial seed is used */ if (!genrand_initialized(mt)) init_genrand(mt, 5489U); mt->left = N; mt->next = mt->state; for (j=N-M+1; --j; p++) *p = p[M] ^ TWIST(p[0], p[1]); for (j=M; --j; p++) *p = p[M-N] ^ TWIST(p[0], p[1]); *p = p[M-N] ^ TWIST(p[0], mt->state[0]); } /* generates a random number on [0,0xffffffff]-interval */ static unsigned int genrand_int32(struct MT *mt) { unsigned int y; if (--mt->left <= 0) next_state(mt); y = *mt->next++; /* Tempering */ y ^= (y >> 11); y ^= (y << 7) & 0x9d2c5680; y ^= (y << 15) & 0xefc60000; y ^= (y >> 18); return y; } /* generates a random number on [0,1) with 53-bit resolution*/ static double genrand_real(struct MT *mt) { unsigned int a = genrand_int32(mt)>>5, b = genrand_int32(mt)>>6; return(a*67108864.0+b)*(1.0/9007199254740992.0); } /* These real versions are due to Isaku Wada, 2002/01/09 added */ #undef N #undef M /* These real versions are due to Isaku Wada, 2002/01/09 added */ #include "ruby/ruby.h" #ifdef HAVE_UNISTD_H #include #endif #include #include #include #ifdef HAVE_FCNTL_H #include #endif #define DEFAULT_SEED_CNT 4 struct RandSeed { VALUE value; unsigned int initial[DEFAULT_SEED_CNT]; }; struct Random { struct MT mt; struct RandSeed seed; }; static struct Random default_mt; unsigned long rb_genrand_int32(void) { return genrand_int32(&default_mt.mt); } double rb_genrand_real(void) { return genrand_real(&default_mt.mt); } #define roomof(n, m) (int)(((n)+(m)-1) / (m)) #define numberof(array) (int)(sizeof(array) / sizeof((array)[0])) #define SIZEOF_INT32 (31/CHAR_BIT + 1) static VALUE rand_init(struct MT *mt, VALUE vseed) { volatile VALUE seed; long blen = 0; int i, j, len; unsigned int buf0[SIZEOF_LONG / SIZEOF_INT32 * 4], *buf = buf0; seed = rb_to_int(vseed); switch (TYPE(seed)) { case T_FIXNUM: len = 1; buf[0] = (unsigned int)(FIX2ULONG(seed) & 0xffffffff); #if SIZEOF_LONG > SIZEOF_INT32 if ((buf[1] = (unsigned int)(FIX2ULONG(seed) >> 32)) != 0) ++len; #endif break; case T_BIGNUM: blen = RBIGNUM_LEN(seed); if (blen == 0) { len = 1; } else if (blen > MT_MAX_STATE * SIZEOF_INT32 / SIZEOF_BDIGITS) { blen = (len = MT_MAX_STATE) * SIZEOF_INT32 / SIZEOF_BDIGITS; len = roomof(len, SIZEOF_INT32); } else { len = roomof((int)blen * SIZEOF_BDIGITS, SIZEOF_INT32); } /* allocate ints for init_by_array */ if (len > numberof(buf0)) buf = ALLOC_N(unsigned int, len); memset(buf, 0, len * sizeof(*buf)); len = 0; for (i = (int)(blen-1); 0 <= i; i--) { j = i * SIZEOF_BDIGITS / SIZEOF_INT32; #if SIZEOF_BDIGITS < SIZEOF_INT32 buf[j] <<= SIZEOF_BDIGITS * CHAR_BIT; #endif buf[j] |= RBIGNUM_DIGITS(seed)[i]; if (!len && buf[j]) len = j; } ++len; break; default: rb_raise(rb_eTypeError, "failed to convert %s into Integer", rb_obj_classname(vseed)); } if (len <= 1) { init_genrand(mt, buf[0]); } else { if (buf[len-1] == 1) /* remove leading-zero-guard */ len--; init_by_array(mt, buf, len); } if (buf != buf0) xfree(buf); return seed; } #define DEFAULT_SEED_LEN (DEFAULT_SEED_CNT * sizeof(int)) static void fill_random_seed(unsigned int seed[DEFAULT_SEED_CNT]) { static int n = 0; struct timeval tv; #ifdef S_ISCHR int fd; struct stat statbuf; #endif memset(seed, 0, DEFAULT_SEED_LEN); #ifdef S_ISCHR if ((fd = open("/dev/urandom", O_RDONLY #ifdef O_NONBLOCK |O_NONBLOCK #endif #ifdef O_NOCTTY |O_NOCTTY #endif #ifdef O_NOFOLLOW |O_NOFOLLOW #endif )) >= 0) { if (fstat(fd, &statbuf) == 0 && S_ISCHR(statbuf.st_mode)) { (void)read(fd, seed, DEFAULT_SEED_LEN); } close(fd); } #endif gettimeofday(&tv, 0); seed[0] ^= tv.tv_usec; seed[1] ^= (unsigned int)tv.tv_sec; #if SIZEOF_TIME_T > SIZEOF_INT seed[0] ^= (unsigned int)(tv.tv_sec >> SIZEOF_INT * CHAR_BIT); #endif seed[2] ^= getpid() ^ (n++ << 16); seed[3] ^= (unsigned int)(VALUE)&seed; #if SIZEOF_VOIDP > SIZEOF_INT seed[2] ^= (unsigned int)((VALUE)&seed >> SIZEOF_INT * CHAR_BIT); #endif } static VALUE make_seed_value(const void *ptr) { BDIGIT *digits; NEWOBJ(big, struct RBignum); OBJSETUP(big, rb_cBignum, T_BIGNUM); RBIGNUM_SET_SIGN(big, 1); rb_big_resize((VALUE)big, DEFAULT_SEED_LEN / SIZEOF_BDIGITS + 1); digits = RBIGNUM_DIGITS(big); MEMCPY(digits, ptr, char, DEFAULT_SEED_LEN); /* set leading-zero-guard if need. */ digits[RBIGNUM_LEN(big)-1] = digits[RBIGNUM_LEN(big)-2] <= 1 ? 1 : 0; return rb_big_norm((VALUE)big); } static VALUE random_seed(void) { unsigned int buf[DEFAULT_SEED_CNT]; fill_random_seed(buf); return make_seed_value(buf); } /* * call-seq: * srand(number=0) => old_seed * * Seeds the pseudorandom number generator to the value of * number. If number is omitted * or zero, seeds the generator using a combination of the time, the * process id, and a sequence number. (This is also the behavior if * Kernel::rand is called without previously calling * srand, but without the sequence.) By setting the seed * to a known value, scripts can be made deterministic during testing. * The previous seed value is returned. Also see Kernel::rand. */ static VALUE rb_f_srand(int argc, VALUE *argv, VALUE obj) { VALUE seed, old; rb_secure(4); if (argc == 0) { seed = random_seed(); } else { rb_scan_args(argc, argv, "01", &seed); } old = default_mt.seed.value; default_mt.seed.value = rand_init(&default_mt.mt, seed); return old; } static unsigned long make_mask(unsigned long x) { x = x | x >> 1; x = x | x >> 2; x = x | x >> 4; x = x | x >> 8; x = x | x >> 16; #if 4 < SIZEOF_LONG x = x | x >> 32; #endif return x; } static unsigned long limited_rand(struct MT *mt, unsigned long limit) { unsigned long mask = make_mask(limit); int i; unsigned long val; retry: val = 0; for (i = SIZEOF_LONG/4-1; 0 <= i; i--) { if ((mask >> (i * 32)) & 0xffffffff) { val |= (unsigned long)genrand_int32(mt) << (i * 32); val &= mask; if (limit < val) goto retry; } } return val; } static VALUE limited_big_rand(struct MT *mt, struct RBignum *limit) { unsigned long mask, lim, rnd; struct RBignum *val; long i, len; int boundary; len = (RBIGNUM_LEN(limit) * SIZEOF_BDIGITS + 3) / 4; val = (struct RBignum *)rb_big_clone((VALUE)limit); RBIGNUM_SET_SIGN(val, 1); #if SIZEOF_BDIGITS == 2 # define BIG_GET32(big,i) \ (RBIGNUM_DIGITS(big)[(i)*2] | \ ((i)*2+1 < RBIGNUM_LEN(big) ? \ (RBIGNUM_DIGITS(big)[(i)*2+1] << 16) : \ 0)) # define BIG_SET32(big,i,d) \ ((RBIGNUM_DIGITS(big)[(i)*2] = (d) & 0xffff), \ ((i)*2+1 < RBIGNUM_LEN(big) ? \ (RBIGNUM_DIGITS(big)[(i)*2+1] = (d) >> 16) : \ 0)) #else /* SIZEOF_BDIGITS == 4 */ # define BIG_GET32(big,i) (RBIGNUM_DIGITS(big)[i]) # define BIG_SET32(big,i,d) (RBIGNUM_DIGITS(big)[i] = (d)) #endif retry: mask = 0; boundary = 1; for (i = len-1; 0 <= i; i--) { lim = BIG_GET32(limit, i); mask = mask ? 0xffffffff : make_mask(lim); if (mask) { rnd = genrand_int32(mt) & mask; if (boundary) { if (lim < rnd) goto retry; if (rnd < lim) boundary = 0; } } else { rnd = 0; } BIG_SET32(val, i, (BDIGIT)rnd); } return rb_big_norm((VALUE)val); } unsigned long rb_rand_internal(unsigned long i) { struct MT *mt = &default_mt.mt; if (!genrand_initialized(mt)) { rand_init(mt, random_seed()); } return limited_rand(mt, i); } /* * call-seq: * rand(max=0) => number * * Converts max to an integer using max1 = * max.to_i.abs. If the result is zero, returns a * pseudorandom floating point number greater than or equal to 0.0 and * less than 1.0. Otherwise, returns a pseudorandom integer greater * than or equal to zero and less than max1. Kernel::srand * may be used to ensure repeatable sequences of random numbers between * different runs of the program. Ruby currently uses a modified * Mersenne Twister with a period of 2**19937-1. * * srand 1234 #=> 0 * [ rand, rand ] #=> [0.191519450163469, 0.49766366626136] * [ rand(10), rand(1000) ] #=> [6, 817] * srand 1234 #=> 1234 * [ rand, rand ] #=> [0.191519450163469, 0.49766366626136] */ static VALUE rb_f_rand(int argc, VALUE *argv, VALUE obj) { VALUE vmax; long val, max; struct MT *mt = &default_mt.mt; if (!genrand_initialized(mt)) { rand_init(mt, random_seed()); } if (argc == 0) goto zero_arg; rb_scan_args(argc, argv, "01", &vmax); if (NIL_P(vmax)) goto zero_arg; vmax = rb_to_int(vmax); if (TYPE(vmax) == T_BIGNUM) { struct RBignum *limit = (struct RBignum *)vmax; if (!RBIGNUM_SIGN(limit)) { limit = (struct RBignum *)rb_big_clone(vmax); RBIGNUM_SET_SIGN(limit, 1); } limit = (struct RBignum *)rb_big_minus((VALUE)limit, INT2FIX(1)); if (FIXNUM_P((VALUE)limit)) { if (FIX2LONG((VALUE)limit) == -1) return DBL2NUM(genrand_real(mt)); return LONG2NUM(limited_rand(mt, FIX2LONG((VALUE)limit))); } return limited_big_rand(mt, limit); } max = NUM2LONG(vmax); if (max == 0) { zero_arg: return DBL2NUM(genrand_real(mt)); } if (max < 0) max = -max; val = limited_rand(mt, max-1); return LONG2NUM(val); } void Init_RandomSeed(void) { fill_random_seed(default_mt.seed.initial); init_by_array(&default_mt.mt, default_mt.seed.initial, DEFAULT_SEED_CNT); } static void Init_RandomSeed2(void) { default_mt.seed.value = make_seed_value(default_mt.seed.initial); memset(default_mt.seed.initial, 0, DEFAULT_SEED_LEN); } void rb_reset_random_seed(void) { uninit_genrand(&default_mt.mt); default_mt.seed.value = INT2FIX(0); } void Init_Random(void) { Init_RandomSeed2(); rb_define_global_function("srand", rb_f_srand, -1); rb_define_global_function("rand", rb_f_rand, -1); rb_global_variable(&default_mt.seed.value); }