| /* |
| Copyright (C) 1995, 2004 Free Software Foundation |
| |
| The GNU C Library is free software; you can redistribute it and/or |
| modify it under the terms of the GNU Lesser General Public |
| License as published by the Free Software Foundation; either |
| version 2.1 of the License, or (at your option) any later version. |
| |
| The GNU C Library 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 |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU C Library; if not, write to the Free |
| Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
| 02110-1301 USA. */ |
| |
| /* |
| Copyright (C) 1983 Regents of the University of California. |
| 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. |
| 4. Neither the name of the University nor the names of its contributors |
| may be used to endorse or promote products derived from this software |
| without specific prior written permission. |
| |
| THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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.*/ |
| |
| /* |
| * This is derived from the Berkeley source: |
| * @(#)random.c 5.5 (Berkeley) 7/6/88 |
| * It was reworked for the GNU C Library by Roland McGrath. |
| * Rewritten to be reentrant by Ulrich Drepper, 1995 |
| */ |
| |
| #include <limits.h> |
| #include <stdlib.h> |
| #include "generate-random.h" |
| |
| |
| /* An improved random number generation package. In addition to the standard |
| rand()/srand() like interface, this package also has a special state info |
| interface. The initstate() routine is called with a seed, an array of |
| bytes, and a count of how many bytes are being passed in; this array is |
| then initialized to contain information for random number generation with |
| that much state information. Good sizes for the amount of state |
| information are 32, 64, 128, and 256 bytes. The state can be switched by |
| calling the setstate() function with the same array as was initialized |
| with initstate(). By default, the package runs with 128 bytes of state |
| information and generates far better random numbers than a linear |
| congruential generator. If the amount of state information is less than |
| 32 bytes, a simple linear congruential R.N.G. is used. Internally, the |
| state information is treated as an array of longs; the zeroth element of |
| the array is the type of R.N.G. being used (small integer); the remainder |
| of the array is the state information for the R.N.G. Thus, 32 bytes of |
| state information will give 7 longs worth of state information, which will |
| allow a degree seven polynomial. (Note: The zeroth word of state |
| information also has some other information stored in it; see setstate |
| for details). The random number generation technique is a linear feedback |
| shift register approach, employing trinomials (since there are fewer terms |
| to sum up that way). In this approach, the least significant bit of all |
| the numbers in the state table will act as a linear feedback shift register, |
| and will have period 2^deg - 1 (where deg is the degree of the polynomial |
| being used, assuming that the polynomial is irreducible and primitive). |
| The higher order bits will have longer periods, since their values are |
| also influenced by pseudo-random carries out of the lower bits. The |
| total period of the generator is approximately deg*(2**deg - 1); thus |
| doubling the amount of state information has a vast influence on the |
| period of the generator. Note: The deg*(2**deg - 1) is an approximation |
| only good for large deg, when the period of the shift register is the |
| dominant factor. With deg equal to seven, the period is actually much |
| longer than the 7*(2**7 - 1) predicted by this formula. */ |
| |
| |
| |
| /* For each of the currently supported random number generators, we have a |
| break value on the amount of state information (you need at least this many |
| bytes of state info to support this random number generator), a degree for |
| the polynomial (actually a trinomial) that the R.N.G. is based on, and |
| separation between the two lower order coefficients of the trinomial. */ |
| |
| /* Linear congruential. */ |
| #define TYPE_0 0 |
| #define BREAK_0 8 |
| #define DEG_0 0 |
| #define SEP_0 0 |
| |
| /* x**7 + x**3 + 1. */ |
| #define TYPE_1 1 |
| #define BREAK_1 32 |
| #define DEG_1 7 |
| #define SEP_1 3 |
| |
| /* x**15 + x + 1. */ |
| #define TYPE_2 2 |
| #define BREAK_2 64 |
| #define DEG_2 15 |
| #define SEP_2 1 |
| |
| /* x**31 + x**3 + 1. */ |
| #define TYPE_3 3 |
| #define BREAK_3 128 |
| #define DEG_3 31 |
| #define SEP_3 3 |
| |
| /* x**63 + x + 1. */ |
| #define TYPE_4 4 |
| #define BREAK_4 256 |
| #define DEG_4 63 |
| #define SEP_4 1 |
| |
| |
| /* Array versions of the above information to make code run faster. |
| Relies on fact that TYPE_i == i. */ |
| |
| #define MAX_TYPES 5 /* Max number of types above. */ |
| |
| struct random_poly_info |
| { |
| int seps[MAX_TYPES]; |
| int degrees[MAX_TYPES]; |
| }; |
| |
| static const struct random_poly_info random_poly_info = |
| { |
| { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 }, |
| { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 } |
| }; |
| |
| |
| |
| |
| /* Initialize the random number generator based on the given seed. If the |
| type is the trivial no-state-information type, just remember the seed. |
| Otherwise, initializes state[] based on the given "seed" via a linear |
| congruential generator. Then, the pointers are set to known locations |
| that are exactly rand_sep places apart. Lastly, it cycles the state |
| information a given number of times to get rid of any initial dependencies |
| introduced by the L.C.R.N.G. Note that the initialization of randtbl[] |
| for default usage relies on values produced by this routine. */ |
| int |
| generate_srandom_r (unsigned int seed, struct generate_random_data *buf) |
| { |
| int type; |
| int *state; |
| long int i; |
| long int word; |
| int *dst; |
| int kc; |
| |
| if (buf == NULL) |
| goto fail; |
| type = buf->rand_type; |
| if ((unsigned int) type >= MAX_TYPES) |
| goto fail; |
| |
| state = buf->state; |
| /* We must make sure the seed is not 0. Take arbitrarily 1 in this case. */ |
| if (seed == 0) |
| seed = 1; |
| state[0] = seed; |
| if (type == TYPE_0) |
| goto done; |
| |
| dst = state; |
| word = seed; |
| kc = buf->rand_deg; |
| for (i = 1; i < kc; ++i) |
| { |
| /* This does: |
| state[i] = (16807 * state[i - 1]) % 2147483647; |
| but avoids overflowing 31 bits. */ |
| long int hi = word / 127773; |
| long int lo = word % 127773; |
| word = 16807 * lo - 2836 * hi; |
| if (word < 0) |
| word += 2147483647; |
| *++dst = word; |
| } |
| |
| buf->fptr = &state[buf->rand_sep]; |
| buf->rptr = &state[0]; |
| kc *= 10; |
| while (--kc >= 0) |
| { |
| int discard; |
| (void) generate_random_r (buf, &discard); |
| } |
| |
| done: |
| return 0; |
| |
| fail: |
| return -1; |
| } |
| |
| /* Initialize the state information in the given array of N bytes for |
| future random number generation. Based on the number of bytes we |
| are given, and the break values for the different R.N.G.'s, we choose |
| the best (largest) one we can and set things up for it. srandom is |
| then called to initialize the state information. Note that on return |
| from srandom, we set state[-1] to be the type multiplexed with the current |
| value of the rear pointer; this is so successive calls to initstate won't |
| lose this information and will be able to restart with setstate. |
| Note: The first thing we do is save the current state, if any, just like |
| setstate so that it doesn't matter when initstate is called. |
| Returns a pointer to the old state. */ |
| int |
| generate_initstate_r (unsigned int seed, char *arg_state, size_t n, |
| struct generate_random_data *buf) |
| { |
| int type; |
| int degree; |
| int separation; |
| int *state; |
| |
| if (buf == NULL) |
| goto fail; |
| |
| if (n >= BREAK_3) |
| type = n < BREAK_4 ? TYPE_3 : TYPE_4; |
| else if (n < BREAK_1) |
| { |
| if (n < BREAK_0) |
| { |
| goto fail; |
| } |
| type = TYPE_0; |
| } |
| else |
| type = n < BREAK_2 ? TYPE_1 : TYPE_2; |
| |
| degree = random_poly_info.degrees[type]; |
| separation = random_poly_info.seps[type]; |
| |
| buf->rand_type = type; |
| buf->rand_sep = separation; |
| buf->rand_deg = degree; |
| state = &((int *) arg_state)[1]; /* First location. */ |
| /* Must set END_PTR before srandom. */ |
| buf->end_ptr = &state[degree]; |
| |
| buf->state = state; |
| |
| generate_srandom_r (seed, buf); |
| |
| state[-1] = TYPE_0; |
| if (type != TYPE_0) |
| state[-1] = (buf->rptr - state) * MAX_TYPES + type; |
| |
| return 0; |
| |
| fail: |
| return -1; |
| } |
| |
| /* Restore the state from the given state array. |
| Note: It is important that we also remember the locations of the pointers |
| in the current state information, and restore the locations of the pointers |
| from the old state information. This is done by multiplexing the pointer |
| location into the zeroth word of the state information. Note that due |
| to the order in which things are done, it is OK to call setstate with the |
| same state as the current state |
| Returns a pointer to the old state information. */ |
| int |
| generate_setstate_r (char *arg_state, struct generate_random_data *buf) |
| { |
| int *new_state = 1 + (int *) arg_state; |
| int type; |
| int old_type; |
| int *old_state; |
| int degree; |
| int separation; |
| |
| if (arg_state == NULL || buf == NULL) |
| goto fail; |
| |
| old_type = buf->rand_type; |
| old_state = buf->state; |
| if (old_type == TYPE_0) |
| old_state[-1] = TYPE_0; |
| else |
| old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type; |
| |
| type = new_state[-1] % MAX_TYPES; |
| if (type < TYPE_0 || type > TYPE_4) |
| goto fail; |
| |
| buf->rand_deg = degree = random_poly_info.degrees[type]; |
| buf->rand_sep = separation = random_poly_info.seps[type]; |
| buf->rand_type = type; |
| |
| if (type != TYPE_0) |
| { |
| int rear = new_state[-1] / MAX_TYPES; |
| buf->rptr = &new_state[rear]; |
| buf->fptr = &new_state[(rear + separation) % degree]; |
| } |
| buf->state = new_state; |
| /* Set end_ptr too. */ |
| buf->end_ptr = &new_state[degree]; |
| |
| return 0; |
| |
| fail: |
| return -1; |
| } |
| |
| /* If we are using the trivial TYPE_0 R.N.G., just do the old linear |
| congruential bit. Otherwise, we do our fancy trinomial stuff, which is the |
| same in all the other cases due to all the global variables that have been |
| set up. The basic operation is to add the number at the rear pointer into |
| the one at the front pointer. Then both pointers are advanced to the next |
| location cyclically in the table. The value returned is the sum generated, |
| reduced to 31 bits by throwing away the "least random" low bit. |
| Note: The code takes advantage of the fact that both the front and |
| rear pointers can't wrap on the same call by not testing the rear |
| pointer if the front one has wrapped. Returns a 31-bit random number. */ |
| |
| int |
| generate_random_r (struct generate_random_data *buf, int *result) |
| { |
| int *state; |
| |
| if (buf == NULL || result == NULL) |
| goto fail; |
| |
| state = buf->state; |
| |
| if (buf->rand_type == TYPE_0) |
| { |
| int val = state[0]; |
| val = ((state[0] * 1103515245) + 12345) & 0x7fffffff; |
| state[0] = val; |
| *result = val; |
| } |
| else |
| { |
| int *fptr = buf->fptr; |
| int *rptr = buf->rptr; |
| int *end_ptr = buf->end_ptr; |
| int val; |
| |
| val = *fptr += *rptr; |
| /* Chucking least random bit. */ |
| *result = (val >> 1) & 0x7fffffff; |
| ++fptr; |
| if (fptr >= end_ptr) |
| { |
| fptr = state; |
| ++rptr; |
| } |
| else |
| { |
| ++rptr; |
| if (rptr >= end_ptr) |
| rptr = state; |
| } |
| buf->fptr = fptr; |
| buf->rptr = rptr; |
| } |
| return 0; |
| |
| fail: |
| return -1; |
| } |