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950cc72b | 1 | /* Copyright (C) 1999, 2000 Free Software Foundation, Inc. |
e7a72986 MD |
2 | * This program is free software; you can redistribute it and/or modify |
3 | * it under the terms of the GNU General Public License as published by | |
4 | * the Free Software Foundation; either version 2, or (at your option) | |
5 | * any later version. | |
6 | * | |
7 | * This program is distributed in the hope that it will be useful, | |
8 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
9 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
10 | * GNU General Public License for more details. | |
11 | * | |
12 | * You should have received a copy of the GNU General Public License | |
13 | * along with this software; see the file COPYING. If not, write to | |
14 | * the Free Software Foundation, Inc., 59 Temple Place, Suite 330, | |
15 | * Boston, MA 02111-1307 USA | |
16 | * | |
17 | * As a special exception, the Free Software Foundation gives permission | |
18 | * for additional uses of the text contained in its release of GUILE. | |
19 | * | |
20 | * The exception is that, if you link the GUILE library with other files | |
21 | * to produce an executable, this does not by itself cause the | |
22 | * resulting executable to be covered by the GNU General Public License. | |
23 | * Your use of that executable is in no way restricted on account of | |
24 | * linking the GUILE library code into it. | |
25 | * | |
26 | * This exception does not however invalidate any other reasons why | |
27 | * the executable file might be covered by the GNU General Public License. | |
28 | * | |
29 | * This exception applies only to the code released by the | |
30 | * Free Software Foundation under the name GUILE. If you copy | |
31 | * code from other Free Software Foundation releases into a copy of | |
32 | * GUILE, as the General Public License permits, the exception does | |
33 | * not apply to the code that you add in this way. To avoid misleading | |
34 | * anyone as to the status of such modified files, you must delete | |
35 | * this exception notice from them. | |
36 | * | |
37 | * If you write modifications of your own for GUILE, it is your choice | |
38 | * whether to permit this exception to apply to your modifications. | |
39 | * If you do not wish that, delete this exception notice. */ | |
40 | ||
1bbd0b84 GB |
41 | /* Software engineering face-lift by Greg J. Badros, 11-Dec-1999, |
42 | gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */ | |
43 | ||
44 | ||
e7a72986 MD |
45 | /* Author: Mikael Djurfeldt <djurfeldt@nada.kth.se> */ |
46 | ||
a0599745 | 47 | #include "libguile/_scm.h" |
e7a72986 | 48 | |
7f146094 | 49 | #include <stdio.h> |
e7a72986 | 50 | #include <math.h> |
f34d19c7 | 51 | #include <string.h> |
a0599745 MD |
52 | #include "libguile/smob.h" |
53 | #include "libguile/numbers.h" | |
54 | #include "libguile/feature.h" | |
55 | #include "libguile/strings.h" | |
e9bfab50 | 56 | #include "libguile/unif.h" |
a0599745 | 57 | #include "libguile/vectors.h" |
e7a72986 | 58 | |
a0599745 MD |
59 | #include "libguile/validate.h" |
60 | #include "libguile/random.h" | |
e7a72986 MD |
61 | |
62 | \f | |
63 | /* | |
64 | * A plugin interface for RNGs | |
65 | * | |
66 | * Using this interface, it is possible for the application to tell | |
67 | * libguile to use a different RNG. This is desirable if it is | |
68 | * necessary to use the same RNG everywhere in the application in | |
69 | * order to prevent interference, if the application uses RNG | |
70 | * hardware, or if the application has special demands on the RNG. | |
71 | * | |
72 | * Look in random.h and how the default generator is "plugged in" in | |
73 | * scm_init_random(). | |
74 | */ | |
75 | ||
76 | scm_rng scm_the_rng; | |
77 | ||
78 | \f | |
79 | /* | |
80 | * The prepackaged RNG | |
81 | * | |
82 | * This is the MWC (Multiply With Carry) random number generator | |
83 | * described by George Marsaglia at the Department of Statistics and | |
84 | * Supercomputer Computations Research Institute, The Florida State | |
85 | * University (http://stat.fsu.edu/~geo). | |
86 | * | |
87 | * It uses 64 bits, has a period of 4578426017172946943 (4.6e18), and | |
88 | * passes all tests in the DIEHARD test suite | |
89 | * (http://stat.fsu.edu/~geo/diehard.html) | |
90 | */ | |
91 | ||
92 | #define A 2131995753UL | |
93 | ||
94 | #if SIZEOF_LONG > 4 | |
95 | #if SIZEOF_INT > 4 | |
96 | #define LONG32 unsigned short | |
97 | #else | |
98 | #define LONG32 unsigned int | |
99 | #endif | |
100 | #define LONG64 unsigned long | |
101 | #else | |
102 | #define LONG32 unsigned long | |
103 | #define LONG64 unsigned long long | |
104 | #endif | |
105 | ||
106 | #if SIZEOF_LONG > 4 || defined (HAVE_LONG_LONGS) | |
107 | ||
108 | unsigned long | |
109 | scm_i_uniform32 (scm_i_rstate *state) | |
110 | { | |
111 | LONG64 x = (LONG64) A * state->w + state->c; | |
112 | LONG32 w = x & 0xffffffffUL; | |
113 | state->w = w; | |
114 | state->c = x >> 32L; | |
115 | return w; | |
116 | } | |
117 | ||
118 | #else | |
119 | ||
120 | /* ww This is a portable version of the same RNG without 64 bit | |
121 | * * aa arithmetic. | |
122 | * ---- | |
123 | * xx It is only intended to provide identical behaviour on | |
124 | * xx platforms without 8 byte longs or long longs until | |
125 | * xx someone has implemented the routine in assembler code. | |
126 | * xxcc | |
127 | * ---- | |
128 | * ccww | |
129 | */ | |
130 | ||
131 | #define L(x) ((x) & 0xffff) | |
132 | #define H(x) ((x) >> 16) | |
133 | ||
134 | unsigned long | |
135 | scm_i_uniform32 (scm_i_rstate *state) | |
136 | { | |
137 | LONG32 x1 = L (A) * L (state->w); | |
138 | LONG32 x2 = L (A) * H (state->w); | |
139 | LONG32 x3 = H (A) * L (state->w); | |
140 | LONG32 w = L (x1) + L (state->c); | |
141 | LONG32 m = H (x1) + L (x2) + L (x3) + H (state->c) + H (w); | |
142 | LONG32 x4 = H (A) * H (state->w); | |
143 | state->w = w = (L (m) << 16) + L (w); | |
144 | state->c = H (x2) + H (x3) + x4 + H (m); | |
145 | return w; | |
146 | } | |
147 | ||
148 | #endif | |
149 | ||
150 | void | |
151 | scm_i_init_rstate (scm_i_rstate *state, char *seed, int n) | |
152 | { | |
153 | LONG32 w = 0L; | |
154 | LONG32 c = 0L; | |
155 | int i, m; | |
156 | for (i = 0; i < n; ++i) | |
157 | { | |
158 | m = i % 8; | |
159 | if (m < 4) | |
160 | w += seed[i] << (8 * m); | |
161 | else | |
162 | c += seed[i] << (8 * (m - 4)); | |
163 | } | |
164 | if ((w == 0 && c == 0) || (w == 0xffffffffUL && c == A - 1)) | |
165 | ++c; | |
166 | state->w = w; | |
167 | state->c = c; | |
168 | } | |
169 | ||
170 | scm_i_rstate * | |
171 | scm_i_copy_rstate (scm_i_rstate *state) | |
172 | { | |
173 | scm_rstate *new_state = malloc (scm_the_rng.rstate_size); | |
174 | if (new_state == 0) | |
2500356c | 175 | scm_memory_error ("rstate"); |
e7a72986 MD |
176 | return memcpy (new_state, state, scm_the_rng.rstate_size); |
177 | } | |
178 | ||
179 | \f | |
180 | /* | |
181 | * Random number library functions | |
182 | */ | |
183 | ||
5ee11b7c | 184 | scm_rstate * |
9b741bb6 | 185 | scm_c_make_rstate (char *seed, int n) |
5ee11b7c MD |
186 | { |
187 | scm_rstate *state = malloc (scm_the_rng.rstate_size); | |
188 | if (state == 0) | |
2500356c | 189 | scm_memory_error ("rstate"); |
5ee11b7c MD |
190 | state->reserved0 = 0; |
191 | scm_the_rng.init_rstate (state, seed, n); | |
192 | return state; | |
193 | } | |
194 | ||
9b741bb6 MD |
195 | scm_rstate * |
196 | scm_c_default_rstate () | |
197 | { | |
198 | SCM state = SCM_CDR (scm_var_random_state); | |
0c95b57d | 199 | SCM_ASSERT (SCM_RSTATEP (state), |
9b741bb6 MD |
200 | state, "*random-state* contains bogus random state", 0); |
201 | return SCM_RSTATE (state); | |
202 | } | |
203 | ||
e7a72986 | 204 | inline double |
9b741bb6 | 205 | scm_c_uniform01 (scm_rstate *state) |
e7a72986 | 206 | { |
5a92ddfd | 207 | double x = (double) scm_the_rng.random_bits (state) / (double) 0xffffffffUL; |
e7a72986 | 208 | return ((x + (double) scm_the_rng.random_bits (state)) |
5a92ddfd | 209 | / (double) 0xffffffffUL); |
e7a72986 MD |
210 | } |
211 | ||
212 | double | |
9b741bb6 | 213 | scm_c_normal01 (scm_rstate *state) |
e7a72986 MD |
214 | { |
215 | if (state->reserved0) | |
216 | { | |
217 | state->reserved0 = 0; | |
218 | return state->reserved1; | |
219 | } | |
220 | else | |
221 | { | |
222 | double r, a, n; | |
e7a72986 | 223 | |
9b741bb6 MD |
224 | r = sqrt (-2.0 * log (scm_c_uniform01 (state))); |
225 | a = 2.0 * M_PI * scm_c_uniform01 (state); | |
e7a72986 MD |
226 | |
227 | n = r * sin (a); | |
228 | state->reserved1 = r * cos (a); | |
5a92ddfd | 229 | state->reserved0 = 1; |
e7a72986 MD |
230 | |
231 | return n; | |
232 | } | |
233 | } | |
234 | ||
235 | double | |
9b741bb6 | 236 | scm_c_exp1 (scm_rstate *state) |
e7a72986 | 237 | { |
9b741bb6 | 238 | return - log (scm_c_uniform01 (state)); |
e7a72986 MD |
239 | } |
240 | ||
241 | unsigned char scm_masktab[256]; | |
242 | ||
243 | unsigned long | |
9b741bb6 | 244 | scm_c_random (scm_rstate *state, unsigned long m) |
e7a72986 MD |
245 | { |
246 | unsigned int r, mask; | |
247 | mask = (m < 0x100 | |
248 | ? scm_masktab[m] | |
249 | : (m < 0x10000 | |
5a92ddfd | 250 | ? scm_masktab[m >> 8] << 8 | 0xff |
e7a72986 | 251 | : (m < 0x1000000 |
5a92ddfd MD |
252 | ? scm_masktab[m >> 16] << 16 | 0xffff |
253 | : scm_masktab[m >> 24] << 24 | 0xffffff))); | |
e7a72986 MD |
254 | while ((r = scm_the_rng.random_bits (state) & mask) >= m); |
255 | return r; | |
256 | } | |
257 | ||
258 | SCM | |
9b741bb6 | 259 | scm_c_random_bignum (scm_rstate *state, SCM m) |
e7a72986 MD |
260 | { |
261 | SCM b; | |
a7e7ea3e MD |
262 | int i, nd; |
263 | LONG32 *bits, mask, w; | |
264 | nd = SCM_NUMDIGS (m); | |
265 | /* calculate mask for most significant digit */ | |
e7a72986 MD |
266 | #if SIZEOF_INT == 4 |
267 | /* 16 bit digits */ | |
a7e7ea3e | 268 | if (nd & 1) |
e7a72986 MD |
269 | { |
270 | /* fix most significant 16 bits */ | |
a7e7ea3e | 271 | unsigned short s = SCM_BDIGITS (m)[nd - 1]; |
5a92ddfd | 272 | mask = s < 0x100 ? scm_masktab[s] : scm_masktab[s >> 8] << 8 | 0xff; |
e7a72986 MD |
273 | } |
274 | else | |
275 | #endif | |
276 | { | |
277 | /* fix most significant 32 bits */ | |
96e263d6 | 278 | #if SIZEOF_INT == 4 |
2a0279c9 MD |
279 | w = SCM_BDIGITS (m)[nd - 1] << 16 | SCM_BDIGITS (m)[nd - 2]; |
280 | #else | |
96e263d6 | 281 | w = SCM_BDIGITS (m)[nd - 1]; |
2a0279c9 | 282 | #endif |
e7a72986 MD |
283 | mask = (w < 0x10000 |
284 | ? (w < 0x100 | |
285 | ? scm_masktab[w] | |
5a92ddfd | 286 | : scm_masktab[w >> 8] << 8 | 0xff) |
e7a72986 | 287 | : (w < 0x1000000 |
5a92ddfd MD |
288 | ? scm_masktab[w >> 16] << 16 | 0xffff |
289 | : scm_masktab[w >> 24] << 24 | 0xffffff)); | |
e7a72986 | 290 | } |
a7e7ea3e MD |
291 | b = scm_mkbig (nd, 0); |
292 | bits = (LONG32 *) SCM_BDIGITS (b); | |
293 | do | |
e7a72986 | 294 | { |
a7e7ea3e MD |
295 | i = nd; |
296 | /* treat most significant digit specially */ | |
297 | #if SIZEOF_INT == 4 | |
298 | /* 16 bit digits */ | |
299 | if (i & 1) | |
300 | { | |
301 | ((SCM_BIGDIG*) bits)[i - 1] = scm_the_rng.random_bits (state) & mask; | |
302 | i /= 2; | |
303 | } | |
304 | else | |
305 | #endif | |
306 | { | |
307 | /* fix most significant 32 bits */ | |
96e263d6 | 308 | #if SIZEOF_INT == 4 |
2a0279c9 | 309 | w = scm_the_rng.random_bits (state) & mask; |
96e263d6 MD |
310 | ((SCM_BIGDIG*) bits)[i - 2] = w & 0xffff; |
311 | ((SCM_BIGDIG*) bits)[i - 1] = w >> 16; | |
312 | i = i / 2 - 1; | |
2a0279c9 | 313 | #else |
96e263d6 | 314 | i /= 2; |
a7e7ea3e | 315 | bits[--i] = scm_the_rng.random_bits (state) & mask; |
2a0279c9 | 316 | #endif |
a7e7ea3e MD |
317 | } |
318 | /* now fill up the rest of the bignum */ | |
319 | while (i) | |
320 | bits[--i] = scm_the_rng.random_bits (state); | |
321 | b = scm_normbig (b); | |
322 | if (SCM_INUMP (b)) | |
323 | return b; | |
324 | } while (scm_bigcomp (b, m) <= 0); | |
325 | return b; | |
e7a72986 MD |
326 | } |
327 | ||
328 | /* | |
329 | * Scheme level representation of random states. | |
330 | */ | |
331 | ||
e841c3e0 | 332 | scm_bits_t scm_tc16_rstate; |
e7a72986 MD |
333 | |
334 | static SCM | |
335 | make_rstate (scm_rstate *state) | |
336 | { | |
23a62151 | 337 | SCM_RETURN_NEWSMOB (scm_tc16_rstate, state); |
e7a72986 MD |
338 | } |
339 | ||
340 | static scm_sizet | |
e841c3e0 | 341 | rstate_free (SCM rstate) |
e7a72986 MD |
342 | { |
343 | free (SCM_RSTATE (rstate)); | |
344 | return scm_the_rng.rstate_size; | |
345 | } | |
346 | ||
e7a72986 MD |
347 | /* |
348 | * Scheme level interface. | |
349 | */ | |
350 | ||
5ee11b7c | 351 | SCM_GLOBAL_VCELL_INIT (scm_var_random_state, "*random-state*", scm_seed_to_random_state (scm_makfrom0str ("URL:http://stat.fsu.edu/~geo/diehard.html"))); |
e7a72986 | 352 | |
a1ec6916 | 353 | SCM_DEFINE (scm_random, "random", 1, 1, 0, |
1bbd0b84 | 354 | (SCM n, SCM state), |
d928e0b4 GB |
355 | "Return a number in [0,N).\n" |
356 | "\n" | |
357 | "Accepts a positive integer or real n and returns a \n" | |
358 | "number of the same type between zero (inclusive) and \n" | |
359 | "N (exclusive). The values returned have a uniform \n" | |
360 | "distribution.\n" | |
361 | "\n" | |
362 | "The optional argument STATE must be of the type produced by\n" | |
a401a730 | 363 | "`seed->random-state'. It defaults to the value of the variable\n" |
d928e0b4 GB |
364 | "*random-state*. This object is used to maintain the state of\n" |
365 | "the pseudo-random-number generator and is altered as a side\n" | |
366 | "effect of the random operation.\n" | |
367 | "") | |
1bbd0b84 | 368 | #define FUNC_NAME s_scm_random |
e7a72986 MD |
369 | { |
370 | if (SCM_UNBNDP (state)) | |
371 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 372 | SCM_VALIDATE_RSTATE (2,state); |
e7a72986 MD |
373 | if (SCM_INUMP (n)) |
374 | { | |
375 | unsigned long m = SCM_INUM (n); | |
1bbd0b84 | 376 | SCM_ASSERT_RANGE (1,n,m > 0); |
9b741bb6 | 377 | return SCM_MAKINUM (scm_c_random (SCM_RSTATE (state), m)); |
e7a72986 | 378 | } |
6b5a304f | 379 | SCM_VALIDATE_NIM (1,n); |
e7a72986 | 380 | if (SCM_REALP (n)) |
f8de44c1 DH |
381 | return scm_make_real (SCM_REAL_VALUE (n) |
382 | * scm_c_uniform01 (SCM_RSTATE (state))); | |
950cc72b | 383 | SCM_VALIDATE_SMOB (1, n, big); |
9b741bb6 | 384 | return scm_c_random_bignum (SCM_RSTATE (state), n); |
e7a72986 | 385 | } |
1bbd0b84 | 386 | #undef FUNC_NAME |
e7a72986 | 387 | |
a1ec6916 | 388 | SCM_DEFINE (scm_copy_random_state, "copy-random-state", 0, 1, 0, |
1bbd0b84 | 389 | (SCM state), |
d928e0b4 | 390 | "Return a copy of the random state STATE.") |
1bbd0b84 | 391 | #define FUNC_NAME s_scm_copy_random_state |
e7a72986 MD |
392 | { |
393 | if (SCM_UNBNDP (state)) | |
5ee11b7c | 394 | state = SCM_CDR (scm_var_random_state); |
3b3b36dd | 395 | SCM_VALIDATE_RSTATE (1,state); |
e7a72986 MD |
396 | return make_rstate (scm_the_rng.copy_rstate (SCM_RSTATE (state))); |
397 | } | |
1bbd0b84 | 398 | #undef FUNC_NAME |
e7a72986 | 399 | |
a1ec6916 | 400 | SCM_DEFINE (scm_seed_to_random_state, "seed->random-state", 1, 0, 0, |
1bbd0b84 | 401 | (SCM seed), |
d928e0b4 | 402 | "Return a new random state using SEED.") |
1bbd0b84 | 403 | #define FUNC_NAME s_scm_seed_to_random_state |
5ee11b7c MD |
404 | { |
405 | if (SCM_NUMBERP (seed)) | |
406 | seed = scm_number_to_string (seed, SCM_UNDEFINED); | |
3b3b36dd | 407 | SCM_VALIDATE_STRING (1,seed); |
34f0f2b8 | 408 | return make_rstate (scm_c_make_rstate (SCM_STRING_CHARS (seed), |
b7ead2ae | 409 | SCM_STRING_LENGTH (seed))); |
5ee11b7c | 410 | } |
1bbd0b84 | 411 | #undef FUNC_NAME |
5ee11b7c | 412 | |
a1ec6916 | 413 | SCM_DEFINE (scm_random_uniform, "random:uniform", 0, 1, 0, |
1bbd0b84 | 414 | (SCM state), |
d928e0b4 | 415 | "Returns a uniformly distributed inexact real random number in [0,1).") |
1bbd0b84 | 416 | #define FUNC_NAME s_scm_random_uniform |
e7a72986 MD |
417 | { |
418 | if (SCM_UNBNDP (state)) | |
419 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 420 | SCM_VALIDATE_RSTATE (1,state); |
f8de44c1 | 421 | return scm_make_real (scm_c_uniform01 (SCM_RSTATE (state))); |
e7a72986 | 422 | } |
1bbd0b84 | 423 | #undef FUNC_NAME |
e7a72986 | 424 | |
a1ec6916 | 425 | SCM_DEFINE (scm_random_normal, "random:normal", 0, 1, 0, |
1bbd0b84 | 426 | (SCM state), |
d928e0b4 GB |
427 | "Returns an inexact real in a normal distribution.\n" |
428 | "The distribution used has mean 0 and standard deviation 1.\n" | |
429 | "For a normal distribution with mean m and standard deviation\n" | |
430 | "d use @code{(+ m (* d (random:normal)))}.\n" | |
431 | "") | |
1bbd0b84 | 432 | #define FUNC_NAME s_scm_random_normal |
afe5177e GH |
433 | { |
434 | if (SCM_UNBNDP (state)) | |
435 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 436 | SCM_VALIDATE_RSTATE (1,state); |
f8de44c1 | 437 | return scm_make_real (scm_c_normal01 (SCM_RSTATE (state))); |
afe5177e | 438 | } |
1bbd0b84 | 439 | #undef FUNC_NAME |
afe5177e GH |
440 | |
441 | #ifdef HAVE_ARRAYS | |
442 | ||
e7a72986 MD |
443 | static void |
444 | vector_scale (SCM v, double c) | |
445 | { | |
b7ead2ae | 446 | int n = SCM_INUM (scm_uniform_vector_length (v)); |
e7a72986 MD |
447 | if (SCM_VECTORP (v)) |
448 | while (--n >= 0) | |
eb42e2f0 | 449 | SCM_REAL_VALUE (SCM_VELTS (v)[n]) *= c; |
e7a72986 MD |
450 | else |
451 | while (--n >= 0) | |
452 | ((double *) SCM_VELTS (v))[n] *= c; | |
453 | } | |
454 | ||
455 | static double | |
456 | vector_sum_squares (SCM v) | |
457 | { | |
458 | double x, sum = 0.0; | |
b7ead2ae | 459 | int n = SCM_INUM (scm_uniform_vector_length (v)); |
e7a72986 MD |
460 | if (SCM_VECTORP (v)) |
461 | while (--n >= 0) | |
462 | { | |
eb42e2f0 | 463 | x = SCM_REAL_VALUE (SCM_VELTS (v)[n]); |
e7a72986 MD |
464 | sum += x * x; |
465 | } | |
466 | else | |
467 | while (--n >= 0) | |
468 | { | |
469 | x = ((double *) SCM_VELTS (v))[n]; | |
470 | sum += x * x; | |
471 | } | |
472 | return sum; | |
473 | } | |
474 | ||
e7a72986 MD |
475 | /* For the uniform distribution on the solid sphere, note that in |
476 | * this distribution the length r of the vector has cumulative | |
477 | * distribution r^n; i.e., u=r^n is uniform [0,1], so r can be | |
478 | * generated as r=u^(1/n). | |
479 | */ | |
a1ec6916 | 480 | SCM_DEFINE (scm_random_solid_sphere_x, "random:solid-sphere!", 1, 1, 0, |
1bbd0b84 | 481 | (SCM v, SCM state), |
d928e0b4 GB |
482 | "Fills vect with inexact real random numbers\n" |
483 | "the sum of whose squares is less than 1.0.\n" | |
484 | "Thinking of vect as coordinates in space of \n" | |
485 | "dimension n = (vector-length vect), the coordinates \n" | |
486 | "are uniformly distributed within the unit n-shere.\n" | |
487 | "The sum of the squares of the numbers is returned.\n" | |
488 | "") | |
1bbd0b84 | 489 | #define FUNC_NAME s_scm_random_solid_sphere_x |
e7a72986 | 490 | { |
3b3b36dd | 491 | SCM_VALIDATE_VECTOR_OR_DVECTOR (1,v); |
e7a72986 MD |
492 | if (SCM_UNBNDP (state)) |
493 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 494 | SCM_VALIDATE_RSTATE (2,state); |
e7a72986 MD |
495 | scm_random_normal_vector_x (v, state); |
496 | vector_scale (v, | |
9b741bb6 | 497 | pow (scm_c_uniform01 (SCM_RSTATE (state)), |
b7ead2ae | 498 | 1.0 / SCM_INUM (scm_uniform_vector_length (v))) |
e7a72986 MD |
499 | / sqrt (vector_sum_squares (v))); |
500 | return SCM_UNSPECIFIED; | |
501 | } | |
1bbd0b84 | 502 | #undef FUNC_NAME |
e7a72986 | 503 | |
a1ec6916 | 504 | SCM_DEFINE (scm_random_hollow_sphere_x, "random:hollow-sphere!", 1, 1, 0, |
1bbd0b84 | 505 | (SCM v, SCM state), |
d928e0b4 GB |
506 | "Fills vect with inexact real random numbers\n" |
507 | "the sum of whose squares is equal to 1.0.\n" | |
508 | "Thinking of vect as coordinates in space of \n" | |
509 | "dimension n = (vector-length vect), the coordinates\n" | |
510 | "are uniformly distributed over the surface of the \n" | |
511 | "unit n-shere.\n" | |
512 | "") | |
1bbd0b84 | 513 | #define FUNC_NAME s_scm_random_hollow_sphere_x |
e7a72986 | 514 | { |
3b3b36dd | 515 | SCM_VALIDATE_VECTOR_OR_DVECTOR (1,v); |
e7a72986 MD |
516 | if (SCM_UNBNDP (state)) |
517 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 518 | SCM_VALIDATE_RSTATE (2,state); |
e7a72986 MD |
519 | scm_random_normal_vector_x (v, state); |
520 | vector_scale (v, 1 / sqrt (vector_sum_squares (v))); | |
521 | return SCM_UNSPECIFIED; | |
522 | } | |
1bbd0b84 | 523 | #undef FUNC_NAME |
e7a72986 | 524 | |
1bbd0b84 | 525 | |
a1ec6916 | 526 | SCM_DEFINE (scm_random_normal_vector_x, "random:normal-vector!", 1, 1, 0, |
1bbd0b84 | 527 | (SCM v, SCM state), |
d928e0b4 GB |
528 | "Fills vect with inexact real random numbers that are\n" |
529 | "independent and standard normally distributed\n" | |
530 | "(i.e., with mean 0 and variance 1).\n" | |
531 | "") | |
1bbd0b84 | 532 | #define FUNC_NAME s_scm_random_normal_vector_x |
e7a72986 MD |
533 | { |
534 | int n; | |
3b3b36dd | 535 | SCM_VALIDATE_VECTOR_OR_DVECTOR (1,v); |
e7a72986 MD |
536 | if (SCM_UNBNDP (state)) |
537 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 538 | SCM_VALIDATE_RSTATE (2,state); |
b7ead2ae | 539 | n = SCM_INUM (scm_uniform_vector_length (v)); |
e7a72986 MD |
540 | if (SCM_VECTORP (v)) |
541 | while (--n >= 0) | |
f8de44c1 | 542 | SCM_VELTS (v)[n] = scm_make_real (scm_c_normal01 (SCM_RSTATE (state))); |
e7a72986 MD |
543 | else |
544 | while (--n >= 0) | |
9b741bb6 | 545 | ((double *) SCM_VELTS (v))[n] = scm_c_normal01 (SCM_RSTATE (state)); |
e7a72986 MD |
546 | return SCM_UNSPECIFIED; |
547 | } | |
1bbd0b84 | 548 | #undef FUNC_NAME |
e7a72986 | 549 | |
afe5177e GH |
550 | #endif /* HAVE_ARRAYS */ |
551 | ||
a1ec6916 | 552 | SCM_DEFINE (scm_random_exp, "random:exp", 0, 1, 0, |
1bbd0b84 | 553 | (SCM state), |
d928e0b4 GB |
554 | "Returns an inexact real in an exponential distribution with mean 1.\n" |
555 | "For an exponential distribution with mean u use (* u (random:exp)).\n" | |
556 | "") | |
1bbd0b84 | 557 | #define FUNC_NAME s_scm_random_exp |
e7a72986 MD |
558 | { |
559 | if (SCM_UNBNDP (state)) | |
560 | state = SCM_CDR (scm_var_random_state); | |
3b3b36dd | 561 | SCM_VALIDATE_RSTATE (1,state); |
f8de44c1 | 562 | return scm_make_real (scm_c_exp1 (SCM_RSTATE (state))); |
e7a72986 | 563 | } |
1bbd0b84 | 564 | #undef FUNC_NAME |
e7a72986 MD |
565 | |
566 | void | |
567 | scm_init_random () | |
568 | { | |
569 | int i, m; | |
570 | /* plug in default RNG */ | |
571 | scm_rng rng = | |
572 | { | |
573 | sizeof (scm_i_rstate), | |
574 | (unsigned long (*)()) scm_i_uniform32, | |
575 | (void (*)()) scm_i_init_rstate, | |
576 | (scm_rstate *(*)()) scm_i_copy_rstate | |
577 | }; | |
578 | scm_the_rng = rng; | |
579 | ||
e841c3e0 KN |
580 | scm_tc16_rstate = scm_make_smob_type ("random-state", 0); |
581 | scm_set_smob_free (scm_tc16_rstate, rstate_free); | |
e7a72986 MD |
582 | |
583 | for (m = 1; m <= 0x100; m <<= 1) | |
584 | for (i = m >> 1; i < m; ++i) | |
585 | scm_masktab[i] = m - 1; | |
586 | ||
8dc9439f | 587 | #ifndef SCM_MAGIC_SNARFER |
a0599745 | 588 | #include "libguile/random.x" |
8dc9439f | 589 | #endif |
e7a72986 | 590 | |
2a0279c9 MD |
591 | /* Check that the assumptions about bits per bignum digit are correct. */ |
592 | #if SIZEOF_INT == 4 | |
593 | m = 16; | |
594 | #else | |
595 | m = 32; | |
596 | #endif | |
597 | if (m != SCM_BITSPERDIG) | |
598 | { | |
599 | fprintf (stderr, "Internal inconsistency: Confused about bignum digit size in random.c\n"); | |
600 | exit (1); | |
601 | } | |
602 | ||
e7a72986 MD |
603 | scm_add_feature ("random"); |
604 | } | |
89e00824 ML |
605 | |
606 | /* | |
607 | Local Variables: | |
608 | c-file-style: "gnu" | |
609 | End: | |
610 | */ |