00001 /* 00002 * Ported from GNU libc to Windows by Ron Koenderink, 2007 00003 */ 00004 00005 /* 00006 Copyright (C) 1995, 2005 Free Software Foundation 00007 00008 The GNU C Library is free software; you can redistribute it and/or 00009 modify it under the terms of the GNU Lesser General Public 00010 License as published by the Free Software Foundation; either 00011 version 2.1 of the License, or (at your option) any later version. 00012 00013 The GNU C Library is distributed in the hope that it will be useful, 00014 but WITHOUT ANY WARRANTY; without even the implied warranty of 00015 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00016 Lesser General Public License for more details. 00017 00018 You should have received a copy of the GNU Lesser General Public 00019 License along with the GNU C Library; if not, write to the Free 00020 Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 00021 02111-1307 USA. */ 00022 00023 /* 00024 Copyright (C) 1983 Regents of the University of California. 00025 All rights reserved. 00026 00027 Redistribution and use in source and binary forms, with or without 00028 modification, are permitted provided that the following conditions 00029 are met: 00030 00031 1. Redistributions of source code must retain the above copyright 00032 notice, this list of conditions and the following disclaimer. 00033 2. Redistributions in binary form must reproduce the above copyright 00034 notice, this list of conditions and the following disclaimer in the 00035 documentation and/or other materials provided with the distribution. 00036 4. Neither the name of the University nor the names of its contributors 00037 may be used to endorse or promote products derived from this software 00038 without specific prior written permission. 00039 00040 THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 00041 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00042 IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 00043 ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 00044 FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 00045 DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 00046 OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 00047 HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 00048 LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 00049 OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 00050 SUCH DAMAGE.*/ 00051 00052 /* 00053 * This is derived from the Berkeley source: 00054 * @(#)random.c 5.5 (Berkeley) 7/6/88 00055 * It was reworked for the GNU C Library by Roland McGrath. 00056 * Rewritten to be reentrant by Ulrich Drepper, 1995 00057 */ 00058 00059 //#include <limits.h> 00060 //#include <stddef.h> 00061 //#include <stdlib.h> 00062 #include "random.h" 00063 #include <errno.h> 00064 00065 /* An improved random number generation package. In addition to the standard 00066 rand()/srand() like interface, this package also has a special state info 00067 interface. The initstate() routine is called with a seed, an array of 00068 bytes, and a count of how many bytes are being passed in; this array is 00069 then initialized to contain information for random number generation with 00070 that much state information. Good sizes for the amount of state 00071 information are 32, 64, 128, and 256 bytes. The state can be switched by 00072 calling the setstate() function with the same array as was initialized 00073 with initstate(). By default, the package runs with 128 bytes of state 00074 information and generates far better random numbers than a linear 00075 congruential generator. If the amount of state information is less than 00076 32 bytes, a simple linear congruential R.N.G. is used. Internally, the 00077 state information is treated as an array of longs; the zeroth element of 00078 the array is the type of R.N.G. being used (small integer); the remainder 00079 of the array is the state information for the R.N.G. Thus, 32 bytes of 00080 state information will give 7 longs worth of state information, which will 00081 allow a degree seven polynomial. (Note: The zeroth word of state 00082 information also has some other information stored in it; see setstate 00083 for details). The random number generation technique is a linear feedback 00084 shift register approach, employing trinomials (since there are fewer terms 00085 to sum up that way). In this approach, the least significant bit of all 00086 the numbers in the state table will act as a linear feedback shift register, 00087 and will have period 2^deg - 1 (where deg is the degree of the polynomial 00088 being used, assuming that the polynomial is irreducible and primitive). 00089 The higher order bits will have longer periods, since their values are 00090 also influenced by pseudo-random carries out of the lower bits. The 00091 total period of the generator is approximately deg*(2**deg - 1); thus 00092 doubling the amount of state information has a vast influence on the 00093 period of the generator. Note: The deg*(2**deg - 1) is an approximation 00094 only good for large deg, when the period of the shift register is the 00095 dominant factor. With deg equal to seven, the period is actually much 00096 longer than the 7*(2**7 - 1) predicted by this formula. */ 00097 00098 00099 00100 /* For each of the currently supported random number generators, we have a 00101 break value on the amount of state information (you need at least this many 00102 bytes of state info to support this random number generator), a degree for 00103 the polynomial (actually a trinomial) that the R.N.G. is based on, and 00104 separation between the two lower order coefficients of the trinomial. */ 00105 00106 /* Linear congruential. */ 00107 #define TYPE_0 0 00108 #define BREAK_0 8 00109 #define DEG_0 0 00110 #define SEP_0 0 00111 00112 /* x**7 + x**3 + 1. */ 00113 #define TYPE_1 1 00114 #define BREAK_1 32 00115 #define DEG_1 7 00116 #define SEP_1 3 00117 00118 /* x**15 + x + 1. */ 00119 #define TYPE_2 2 00120 #define BREAK_2 64 00121 #define DEG_2 15 00122 #define SEP_2 1 00123 00124 /* x**31 + x**3 + 1. */ 00125 #define TYPE_3 3 00126 #define BREAK_3 128 00127 #define DEG_3 31 00128 #define SEP_3 3 00129 00130 /* x**63 + x + 1. */ 00131 #define TYPE_4 4 00132 #define BREAK_4 256 00133 #define DEG_4 63 00134 #define SEP_4 1 00135 00136 00137 /* Array versions of the above information to make code run faster. 00138 Relies on fact that TYPE_i == i. */ 00139 00140 #define MAX_TYPES 5 /* Max number of types above. */ 00141 00142 struct random_poly_info 00143 { 00144 int seps[MAX_TYPES]; 00145 int degrees[MAX_TYPES]; 00146 }; 00147 00148 static const struct random_poly_info random_poly_info = 00149 { 00150 { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 }, 00151 { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 } 00152 }; 00153 00154 00155 00156 00157 /* Initialize the random number generator based on the given seed. If the 00158 type is the trivial no-state-information type, just remember the seed. 00159 Otherwise, initializes state[] based on the given "seed" via a linear 00160 congruential generator. Then, the pointers are set to known locations 00161 that are exactly rand_sep places apart. Lastly, it cycles the state 00162 information a given number of times to get rid of any initial dependencies 00163 introduced by the L.C.R.N.G. Note that the initialization of randtbl[] 00164 for default usage relies on values produced by this routine. */ 00165 int 00166 __srandom_r (seed, buf) 00167 unsigned int seed; 00168 struct random_data *buf; 00169 { 00170 int type; 00171 int32_t *state; 00172 long int i; 00173 long int word; 00174 int32_t *dst; 00175 int kc; 00176 00177 if (buf == NULL) 00178 goto fail; 00179 type = buf->rand_type; 00180 if ((unsigned int) type >= MAX_TYPES) 00181 goto fail; 00182 00183 state = buf->state; 00184 /* We must make sure the seed is not 0. Take arbitrarily 1 in this case. */ 00185 if (seed == 0) 00186 seed = 1; 00187 state[0] = seed; 00188 if (type == TYPE_0) 00189 goto done; 00190 00191 dst = state; 00192 word = seed; 00193 kc = buf->rand_deg; 00194 for (i = 1; i < kc; ++i) 00195 { 00196 /* This does: 00197 state[i] = (16807 * state[i - 1]) % 2147483647; 00198 but avoids overflowing 31 bits. */ 00199 long int hi = word / 127773; 00200 long int lo = word % 127773; 00201 word = 16807 * lo - 2836 * hi; 00202 if (word < 0) 00203 word += 2147483647; 00204 *++dst = word; 00205 } 00206 00207 buf->fptr = &state[buf->rand_sep]; 00208 buf->rptr = &state[0]; 00209 kc *= 10; 00210 while (--kc >= 0) 00211 { 00212 int32_t discard; 00213 (void) __random_r (buf, &discard); 00214 } 00215 00216 done: 00217 return 0; 00218 00219 fail: 00220 return -1; 00221 } 00222 00223 weak_alias (__srandom_r, srandom_r) 00224 00225 /* Initialize the state information in the given array of N bytes for 00226 future random number generation. Based on the number of bytes we 00227 are given, and the break values for the different R.N.G.'s, we choose 00228 the best (largest) one we can and set things up for it. srandom is 00229 then called to initialize the state information. Note that on return 00230 from srandom, we set state[-1] to be the type multiplexed with the current 00231 value of the rear pointer; this is so successive calls to initstate won't 00232 lose this information and will be able to restart with setstate. 00233 Note: The first thing we do is save the current state, if any, just like 00234 setstate so that it doesn't matter when initstate is called. 00235 Returns a pointer to the old state. */ 00236 int 00237 __initstate_r (seed, arg_state, n, buf) 00238 unsigned int seed; 00239 char *arg_state; 00240 size_t n; 00241 struct random_data *buf; 00242 { 00243 int32_t *old_state; 00244 int type; 00245 int degree; 00246 int separation; 00247 int32_t *state; 00248 00249 if (buf == NULL) 00250 goto fail; 00251 00252 old_state = buf->state; 00253 if (old_state != NULL) 00254 { 00255 int old_type = buf->rand_type; 00256 if (old_type == TYPE_0) 00257 old_state[-1] = TYPE_0; 00258 else 00259 old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type; 00260 } 00261 00262 if (n >= BREAK_3) 00263 type = n < BREAK_4 ? TYPE_3 : TYPE_4; 00264 else if (n < BREAK_1) 00265 { 00266 if (n < BREAK_0) 00267 { 00268 __set_errno (EINVAL); 00269 goto fail; 00270 } 00271 type = TYPE_0; 00272 } 00273 else 00274 type = n < BREAK_2 ? TYPE_1 : TYPE_2; 00275 00276 degree = random_poly_info.degrees[type]; 00277 separation = random_poly_info.seps[type]; 00278 00279 buf->rand_type = type; 00280 buf->rand_sep = separation; 00281 buf->rand_deg = degree; 00282 state = &((int32_t *) arg_state)[1]; /* First location. */ 00283 /* Must set END_PTR before srandom. */ 00284 buf->end_ptr = &state[degree]; 00285 00286 buf->state = state; 00287 00288 __srandom_r (seed, buf); 00289 00290 state[-1] = TYPE_0; 00291 if (type != TYPE_0) 00292 state[-1] = (buf->rptr - state) * MAX_TYPES + type; 00293 00294 return 0; 00295 00296 fail: 00297 __set_errno (EINVAL); 00298 return -1; 00299 } 00300 00301 weak_alias (__initstate_r, initstate_r) 00302 00303 /* Restore the state from the given state array. 00304 Note: It is important that we also remember the locations of the pointers 00305 in the current state information, and restore the locations of the pointers 00306 from the old state information. This is done by multiplexing the pointer 00307 location into the zeroth word of the state information. Note that due 00308 to the order in which things are done, it is OK to call setstate with the 00309 same state as the current state 00310 Returns a pointer to the old state information. */ 00311 int 00312 __setstate_r (arg_state, buf) 00313 char *arg_state; 00314 struct random_data *buf; 00315 { 00316 int32_t *new_state = 1 + (int32_t *) arg_state; 00317 int type; 00318 int old_type; 00319 int32_t *old_state; 00320 int degree; 00321 int separation; 00322 00323 if (arg_state == NULL || buf == NULL) 00324 goto fail; 00325 00326 old_type = buf->rand_type; 00327 old_state = buf->state; 00328 if (old_type == TYPE_0) 00329 old_state[-1] = TYPE_0; 00330 else 00331 old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type; 00332 00333 type = new_state[-1] % MAX_TYPES; 00334 if (type < TYPE_0 || type > TYPE_4) 00335 goto fail; 00336 00337 buf->rand_deg = degree = random_poly_info.degrees[type]; 00338 buf->rand_sep = separation = random_poly_info.seps[type]; 00339 buf->rand_type = type; 00340 00341 if (type != TYPE_0) 00342 { 00343 int rear = new_state[-1] / MAX_TYPES; 00344 buf->rptr = &new_state[rear]; 00345 buf->fptr = &new_state[(rear + separation) % degree]; 00346 } 00347 buf->state = new_state; 00348 /* Set end_ptr too. */ 00349 buf->end_ptr = &new_state[degree]; 00350 00351 return 0; 00352 00353 fail: 00354 __set_errno (EINVAL); 00355 return -1; 00356 } 00357 00358 weak_alias (__setstate_r, setstate_r) 00359 00360 /* If we are using the trivial TYPE_0 R.N.G., just do the old linear 00361 congruential bit. Otherwise, we do our fancy trinomial stuff, which is the 00362 same in all the other cases due to all the global variables that have been 00363 set up. The basic operation is to add the number at the rear pointer into 00364 the one at the front pointer. Then both pointers are advanced to the next 00365 location cyclically in the table. The value returned is the sum generated, 00366 reduced to 31 bits by throwing away the "least random" low bit. 00367 Note: The code takes advantage of the fact that both the front and 00368 rear pointers can't wrap on the same call by not testing the rear 00369 pointer if the front one has wrapped. Returns a 31-bit random number. */ 00370 00371 int 00372 __random_r (buf, result) 00373 struct random_data *buf; 00374 int32_t *result; 00375 { 00376 int32_t *state; 00377 00378 if (buf == NULL || result == NULL) 00379 goto fail; 00380 00381 state = buf->state; 00382 00383 if (buf->rand_type == TYPE_0) 00384 { 00385 int32_t val = state[0]; 00386 val = ((state[0] * 1103515245) + 12345) & 0x7fffffff; 00387 state[0] = val; 00388 *result = val; 00389 } 00390 else 00391 { 00392 int32_t *fptr = buf->fptr; 00393 int32_t *rptr = buf->rptr; 00394 int32_t *end_ptr = buf->end_ptr; 00395 int32_t val; 00396 00397 val = *fptr += *rptr; 00398 /* Chucking least random bit. */ 00399 *result = (val >> 1) & 0x7fffffff; 00400 ++fptr; 00401 if (fptr >= end_ptr) 00402 { 00403 fptr = state; 00404 ++rptr; 00405 } 00406 else 00407 { 00408 ++rptr; 00409 if (rptr >= end_ptr) 00410 rptr = state; 00411 } 00412 buf->fptr = fptr; 00413 buf->rptr = rptr; 00414 } 00415 return 0; 00416 00417 fail: 00418 __set_errno (EINVAL); 00419 return -1; 00420 } 00421 00422 weak_alias (__random_r, random_r)
1.5.2