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Diffstat (limited to 'gsl-1.9/rng/rand48.c')
-rw-r--r-- | gsl-1.9/rng/rand48.c | 143 |
1 files changed, 143 insertions, 0 deletions
diff --git a/gsl-1.9/rng/rand48.c b/gsl-1.9/rng/rand48.c new file mode 100644 index 0000000..f01a351 --- /dev/null +++ b/gsl-1.9/rng/rand48.c @@ -0,0 +1,143 @@ +/* rng/rand48.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, Brian Gough + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +#include <config.h> +#include <math.h> +#include <stdlib.h> +#include <gsl/gsl_sys.h> +#include <gsl/gsl_rng.h> + +/* This is the Unix rand48() generator. The generator returns the + upper 32 bits from each term of the sequence, + + x_{n+1} = (a x_n + c) mod m + + using 48-bit unsigned arithmetic, with a = 0x5DEECE66D , c = 0xB + and m = 2^48. The seed specifies the upper 32 bits of the initial + value, x_1, with the lower 16 bits set to 0x330E. + + The theoretical value of x_{10001} is 244131582646046. + + The period of this generator is ? FIXME (probably around 2^48). */ + +static inline void rand48_advance (void *vstate); +static unsigned long int rand48_get (void *vstate); +static double rand48_get_double (void *vstate); +static void rand48_set (void *state, unsigned long int s); + +static const unsigned short int a0 = 0xE66D ; +static const unsigned short int a1 = 0xDEEC ; +static const unsigned short int a2 = 0x0005 ; + +static const unsigned short int c0 = 0x000B ; + +typedef struct + { + unsigned short int x0, x1, x2; + } +rand48_state_t; + +static inline void +rand48_advance (void *vstate) +{ + rand48_state_t *state = (rand48_state_t *) vstate; + + /* work with unsigned long ints throughout to get correct integer + promotions of any unsigned short ints */ + + const unsigned long int x0 = (unsigned long int) state->x0 ; + const unsigned long int x1 = (unsigned long int) state->x1 ; + const unsigned long int x2 = (unsigned long int) state->x2 ; + + unsigned long int a ; + + a = a0 * x0 + c0 ; + state->x0 = (a & 0xFFFF) ; + + a >>= 16 ; + + /* although the next line may overflow we only need the top 16 bits + in the following stage, so it does not matter */ + + a += a0 * x1 + a1 * x0 ; + state->x1 = (a & 0xFFFF) ; + + a >>= 16 ; + a += a0 * x2 + a1 * x1 + a2 * x0 ; + state->x2 = (a & 0xFFFF) ; +} + +static unsigned long int +rand48_get (void *vstate) +{ + unsigned long int x1, x2; + + rand48_state_t *state = (rand48_state_t *) vstate; + rand48_advance (state) ; + + x2 = (unsigned long int) state->x2; + x1 = (unsigned long int) state->x1; + + return (x2 << 16) + x1; +} + +static double +rand48_get_double (void * vstate) +{ + rand48_state_t *state = (rand48_state_t *) vstate; + + rand48_advance (state) ; + + return (ldexp((double) state->x2, -16) + + ldexp((double) state->x1, -32) + + ldexp((double) state->x0, -48)) ; +} + +static void +rand48_set (void *vstate, unsigned long int s) +{ + rand48_state_t *state = (rand48_state_t *) vstate; + + if (s == 0) /* default seed */ + { + state->x0 = 0x330E ; + state->x1 = 0xABCD ; + state->x2 = 0x1234 ; + } + else + { + state->x0 = 0x330E ; + state->x1 = s & 0xFFFF ; + state->x2 = (s >> 16) & 0xFFFF ; + } + + return; +} + +static const gsl_rng_type rand48_type = +{"rand48", /* name */ + 0xffffffffUL, /* RAND_MAX */ + 0, /* RAND_MIN */ + sizeof (rand48_state_t), + &rand48_set, + &rand48_get, + &rand48_get_double +}; + +const gsl_rng_type *gsl_rng_rand48 = &rand48_type; |