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+/* rng.c (pseudo-random number generator) */
+
+/***********************************************************************
+* This code is part of GLPK (GNU Linear Programming Kit).
+*
+* This code is a modified version of the module GB_FLIP, a portable
+* pseudo-random number generator. The original version of GB_FLIP is
+* a part of The Stanford GraphBase developed by Donald E. Knuth (see
+* http://www-cs-staff.stanford.edu/~knuth/sgb.html).
+*
+* Note that all changes concern only external names, so this modified
+* version produces exactly the same results as the original version.
+*
+* Changes were made by Andrew Makhorin <mao@gnu.org>.
+*
+* GLPK 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 3 of the License, or
+* (at your option) any later version.
+*
+* GLPK 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 GLPK. If not, see <http://www.gnu.org/licenses/>.
+***********************************************************************/
+
+#include "env.h"
+#include "rng.h"
+
+#if 0
+int A[56] = { -1 };
+#else
+#define A (rand->A)
+#endif
+/* pseudo-random values */
+
+#if 0
+int *fptr = A;
+#else
+#define fptr (rand->fptr)
+#endif
+/* the next A value to be exported */
+
+#define mod_diff(x, y) (((x) - (y)) & 0x7FFFFFFF)
+/* difference modulo 2^31 */
+
+static int flip_cycle(RNG *rand)
+{ /* this is an auxiliary routine to do 55 more steps of the basic
+ * recurrence, at high speed, and to reset fptr */
+ int *ii, *jj;
+ for (ii = &A[1], jj = &A[32]; jj <= &A[55]; ii++, jj++)
+ *ii = mod_diff(*ii, *jj);
+ for (jj = &A[1]; ii <= &A[55]; ii++, jj++)
+ *ii = mod_diff(*ii, *jj);
+ fptr = &A[54];
+ return A[55];
+}
+
+/***********************************************************************
+* NAME
+*
+* rng_create_rand - create pseudo-random number generator
+*
+* SYNOPSIS
+*
+* #include "rng.h"
+* RNG *rng_create_rand(void);
+*
+* DESCRIPTION
+*
+* The routine rng_create_rand creates and initializes a pseudo-random
+* number generator.
+*
+* RETURNS
+*
+* The routine returns a pointer to the generator created. */
+
+RNG *rng_create_rand(void)
+{ RNG *rand;
+ int i;
+ rand = talloc(1, RNG);
+ A[0] = -1;
+ for (i = 1; i <= 55; i++) A[i] = 0;
+ fptr = A;
+ rng_init_rand(rand, 1);
+ return rand;
+}
+
+/***********************************************************************
+* NAME
+*
+* rng_init_rand - initialize pseudo-random number generator
+*
+* SYNOPSIS
+*
+* #include "rng.h"
+* void rng_init_rand(RNG *rand, int seed);
+*
+* DESCRIPTION
+*
+* The routine rng_init_rand initializes the pseudo-random number
+* generator. The parameter seed may be any integer number. Note that
+* on creating the generator this routine is called with the parameter
+* seed equal to 1. */
+
+void rng_init_rand(RNG *rand, int seed)
+{ int i;
+ int prev = seed, next = 1;
+ seed = prev = mod_diff(prev, 0);
+ A[55] = prev;
+ for (i = 21; i; i = (i + 21) % 55)
+ { A[i] = next;
+ next = mod_diff(prev, next);
+ if (seed & 1)
+ seed = 0x40000000 + (seed >> 1);
+ else
+ seed >>= 1;
+ next = mod_diff(next, seed);
+ prev = A[i];
+ }
+ flip_cycle(rand);
+ flip_cycle(rand);
+ flip_cycle(rand);
+ flip_cycle(rand);
+ flip_cycle(rand);
+ return;
+}
+
+/***********************************************************************
+* NAME
+*
+* rng_next_rand - obtain pseudo-random integer in the range [0, 2^31-1]
+*
+* SYNOPSIS
+*
+* #include "rng.h"
+* int rng_next_rand(RNG *rand);
+*
+* RETURNS
+*
+* The routine rng_next_rand returns a next pseudo-random integer which
+* is uniformly distributed between 0 and 2^31-1, inclusive. The period
+* length of the generated numbers is 2^85 - 2^30. The low order bits of
+* the generated numbers are just as random as the high-order bits. */
+
+int rng_next_rand(RNG *rand)
+{ return
+ *fptr >= 0 ? *fptr-- : flip_cycle(rand);
+}
+
+/***********************************************************************
+* NAME
+*
+* rng_unif_rand - obtain pseudo-random integer in the range [0, m-1]
+*
+* SYNOPSIS
+*
+* #include "rng.h"
+* int rng_unif_rand(RNG *rand, int m);
+*
+* RETURNS
+*
+* The routine rng_unif_rand returns a next pseudo-random integer which
+* is uniformly distributed between 0 and m-1, inclusive, where m is any
+* positive integer less than 2^31. */
+
+#define two_to_the_31 ((unsigned int)0x80000000)
+
+int rng_unif_rand(RNG *rand, int m)
+{ unsigned int t = two_to_the_31 - (two_to_the_31 % m);
+ int r;
+ xassert(m > 0);
+ do { r = rng_next_rand(rand); } while (t <= (unsigned int)r);
+ return r % m;
+}
+
+/***********************************************************************
+* NAME
+*
+* rng_delete_rand - delete pseudo-random number generator
+*
+* SYNOPSIS
+*
+* #include "rng.h"
+* void rng_delete_rand(RNG *rand);
+*
+* DESCRIPTION
+*
+* The routine rng_delete_rand frees all the memory allocated to the
+* specified pseudo-random number generator. */
+
+void rng_delete_rand(RNG *rand)
+{ tfree(rand);
+ return;
+}
+
+/**********************************************************************/
+
+#ifdef GLP_TEST
+/* To be sure that this modified version produces the same results as
+ * the original version, run this validation program. */
+
+int main(void)
+{ RNG *rand;
+ int j;
+ rand = rng_create_rand();
+ rng_init_rand(rand, -314159);
+ if (rng_next_rand(rand) != 119318998)
+ { fprintf(stderr, "Failure on the first try!\n");
+ return -1;
+ }
+ for (j = 1; j <= 133; j++) rng_next_rand(rand);
+ if (rng_unif_rand(rand, 0x55555555) != 748103812)
+ { fprintf(stderr, "Failure on the second try!\n");
+ return -2;
+ }
+ fprintf(stderr, "OK, the random-number generator routines seem to"
+ " work!\n");
+ rng_delete_rand(rand);
+ return 0;
+}
+#endif
+
+/* eof */