122944501Smrg/* xf86drmRandom.c -- "Minimal Standard" PRNG Implementation 222944501Smrg * Created: Mon Apr 19 08:28:13 1999 by faith@precisioninsight.com 322944501Smrg * 422944501Smrg * Copyright 1999 Precision Insight, Inc., Cedar Park, Texas. 522944501Smrg * All Rights Reserved. 622944501Smrg * 722944501Smrg * Permission is hereby granted, free of charge, to any person obtaining a 822944501Smrg * copy of this software and associated documentation files (the "Software"), 922944501Smrg * to deal in the Software without restriction, including without limitation 1022944501Smrg * the rights to use, copy, modify, merge, publish, distribute, sublicense, 1122944501Smrg * and/or sell copies of the Software, and to permit persons to whom the 1222944501Smrg * Software is furnished to do so, subject to the following conditions: 1322944501Smrg * 1422944501Smrg * The above copyright notice and this permission notice (including the next 1522944501Smrg * paragraph) shall be included in all copies or substantial portions of the 1622944501Smrg * Software. 1722944501Smrg * 1822944501Smrg * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 1922944501Smrg * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 2022944501Smrg * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 2122944501Smrg * PRECISION INSIGHT AND/OR ITS SUPPLIERS BE LIABLE FOR ANY CLAIM, DAMAGES OR 2222944501Smrg * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, 2322944501Smrg * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER 2422944501Smrg * DEALINGS IN THE SOFTWARE. 2522944501Smrg * 2622944501Smrg * Authors: Rickard E. (Rik) Faith <faith@valinux.com> 2722944501Smrg * 2822944501Smrg * DESCRIPTION 2922944501Smrg * 3022944501Smrg * This file contains a simple, straightforward implementation of the Park 3122944501Smrg * & Miller "Minimal Standard" PRNG [PM88, PMS93], which is a Lehmer 3222944501Smrg * multiplicative linear congruential generator (MLCG) with a period of 3322944501Smrg * 2^31-1. 3422944501Smrg * 3522944501Smrg * This implementation is intended to provide a reliable, portable PRNG 3622944501Smrg * that is suitable for testing a hash table implementation and for 3722944501Smrg * implementing skip lists. 3822944501Smrg * 3922944501Smrg * FUTURE ENHANCEMENTS 4022944501Smrg * 4122944501Smrg * If initial seeds are not selected randomly, two instances of the PRNG 4222944501Smrg * can be correlated. [Knuth81, pp. 32-33] describes a shuffling technique 4322944501Smrg * that can eliminate this problem. 4422944501Smrg * 4522944501Smrg * If PRNGs are used for simulation, the period of the current 4622944501Smrg * implementation may be too short. [LE88] discusses methods of combining 4722944501Smrg * MLCGs to produce much longer periods, and suggests some alternative 4822944501Smrg * values for A and M. [LE90 and Sch92] also provide information on 4922944501Smrg * long-period PRNGs. 5022944501Smrg * 5122944501Smrg * REFERENCES 5222944501Smrg * 5322944501Smrg * [Knuth81] Donald E. Knuth. The Art of Computer Programming. Volume 2: 5422944501Smrg * Seminumerical Algorithms. Reading, Massachusetts: Addison-Wesley, 1981. 5522944501Smrg * 5622944501Smrg * [LE88] Pierre L'Ecuyer. "Efficient and Portable Combined Random Number 5722944501Smrg * Generators". CACM 31(6), June 1988, pp. 742-774. 5822944501Smrg * 5922944501Smrg * [LE90] Pierre L'Ecuyer. "Random Numbers for Simulation". CACM 33(10, 6022944501Smrg * October 1990, pp. 85-97. 6122944501Smrg * 6222944501Smrg * [PM88] Stephen K. Park and Keith W. Miller. "Random Number Generators: 6322944501Smrg * Good Ones are Hard to Find". CACM 31(10), October 1988, pp. 1192-1201. 6422944501Smrg * 6522944501Smrg * [Sch92] Bruce Schneier. "Pseudo-Ransom Sequence Generator for 32-Bit 6622944501Smrg * CPUs". Dr. Dobb's Journal 17(2), February 1992, pp. 34, 37-38, 40. 6722944501Smrg * 6822944501Smrg * [PMS93] Stephen K. Park, Keith W. Miller, and Paul K. Stockmeyer. In 6922944501Smrg * "Technical Correspondence: Remarks on Choosing and Implementing Random 7022944501Smrg * Number Generators". CACM 36(7), July 1993, pp. 105-110. 7122944501Smrg * 7222944501Smrg */ 7322944501Smrg 7422944501Smrg#include <stdio.h> 7522944501Smrg#include <stdlib.h> 7622944501Smrg 777cdc0497Smrg#include "libdrm_macros.h" 78e6188e58Smrg#include "xf86drm.h" 79e6188e58Smrg#include "xf86drmRandom.h" 8022944501Smrg 8122944501Smrg#define RANDOM_MAGIC 0xfeedbeef 8222944501Smrg 837cdc0497Smrgdrm_public void *drmRandomCreate(unsigned long seed) 8422944501Smrg{ 8522944501Smrg RandomState *state; 8622944501Smrg 87e6188e58Smrg state = drmMalloc(sizeof(*state)); 8822944501Smrg if (!state) return NULL; 8922944501Smrg state->magic = RANDOM_MAGIC; 9022944501Smrg#if 0 9122944501Smrg /* Park & Miller, October 1988 */ 9222944501Smrg state->a = 16807; 9322944501Smrg state->m = 2147483647; 9422944501Smrg state->check = 1043618065; /* After 10000 iterations */ 9522944501Smrg#else 9622944501Smrg /* Park, Miller, and Stockmeyer, July 1993 */ 9722944501Smrg state->a = 48271; 9822944501Smrg state->m = 2147483647; 9922944501Smrg state->check = 399268537; /* After 10000 iterations */ 10022944501Smrg#endif 10122944501Smrg state->q = state->m / state->a; 10222944501Smrg state->r = state->m % state->a; 10322944501Smrg 10422944501Smrg state->seed = seed; 10522944501Smrg /* Check for illegal boundary conditions, 10622944501Smrg and choose closest legal value. */ 10722944501Smrg if (state->seed <= 0) state->seed = 1; 10822944501Smrg if (state->seed >= state->m) state->seed = state->m - 1; 10922944501Smrg 11022944501Smrg return state; 11122944501Smrg} 11222944501Smrg 1137cdc0497Smrgdrm_public int drmRandomDestroy(void *state) 11422944501Smrg{ 115e6188e58Smrg drmFree(state); 11622944501Smrg return 0; 11722944501Smrg} 11822944501Smrg 1197cdc0497Smrgdrm_public unsigned long drmRandom(void *state) 12022944501Smrg{ 12122944501Smrg RandomState *s = (RandomState *)state; 122e6188e58Smrg unsigned long hi; 123e6188e58Smrg unsigned long lo; 12422944501Smrg 12522944501Smrg hi = s->seed / s->q; 12622944501Smrg lo = s->seed % s->q; 12722944501Smrg s->seed = s->a * lo - s->r * hi; 128e6188e58Smrg if ((s->a * lo) <= (s->r * hi)) s->seed += s->m; 12922944501Smrg 13022944501Smrg return s->seed; 13122944501Smrg} 13222944501Smrg 1337cdc0497Smrgdrm_public double drmRandomDouble(void *state) 13422944501Smrg{ 13522944501Smrg RandomState *s = (RandomState *)state; 13622944501Smrg 13722944501Smrg return (double)drmRandom(state)/(double)s->m; 13822944501Smrg} 139