/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License (the "License"). * You may not use this file except in compliance with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ /* * Copyright 2008 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ /* Copyright (c) 1988 AT&T */ /* All Rights Reserved */ #pragma ident "%Z%%M% %I% %E% SMI" /* * drand48, etc. pseudo-random number generator * This implementation assumes unsigned short integers of at least * 16 bits, long integers of at least 32 bits, and ignores * overflows on adding or multiplying two unsigned integers. * Two's-complement representation is assumed in a few places. * Some extra masking is done if unsigneds are exactly 16 bits * or longs are exactly 32 bits, but so what? * An assembly-language implementation would run significantly faster. */ /* * New assumptions (supercede those stated above) for 64-bit work. * Longs are now 64 bits, and we are bound by standards to return * type long, hovever all internal calculations where long was * previously used (32 bit precision) are now using the int32_t * type (32 bit precision in both ILP32 and LP64 worlds). */ #include static kmutex_t seed_lock; static int init48done = 0; #define EXPORT0(TYPE, fn, fnu) TYPE fn() { \ TYPE res; \ mutex_enter(&seed_lock); \ res = fnu(); \ mutex_exit(&seed_lock); \ return (res); } #define EXPORT1(TYPE, fn, fnu) TYPE fn(unsigned short xsubi[3]) { \ TYPE res; \ mutex_enter(&seed_lock); \ res = fnu(xsubi); \ mutex_exit(&seed_lock); \ return (res); } #define N 16 #define MASK ((unsigned)(1 << (N - 1)) + (1 << (N - 1)) - 1) #define LOW(x) ((unsigned)(x) & MASK) #define HIGH(x) LOW((x) >> N) #define MUL(x, y, z) { int32_t l = (int32_t)(x) * (int32_t)(y); \ (z)[0] = LOW(l); (z)[1] = HIGH(l); } #define CARRY(x, y) ((int32_t)(x) + (int32_t)(y) > MASK) #define ADDEQU(x, y, z) (z = CARRY(x, (y)), x = LOW(x + (y))) #define X0 0x330E #define X1 0xABCD #define X2 0x1234 #define A0 0xE66D #define A1 0xDEEC #define A2 0x5 #define C 0xB #define SET3(x, x0, x1, x2) ((x)[0] = (x0), (x)[1] = (x1), (x)[2] = (x2)) #define SETLOW(x, y, n) SET3(x, LOW((y)[n]), LOW((y)[(n)+1]), LOW((y)[(n)+2])) #define SEED(x0, x1, x2) (SET3(x, x0, x1, x2), SET3(a, A0, A1, A2), c = C) #define REST(v) for (i = 0; i < 3; i++) { xsubi[i] = x[i]; x[i] = temp[i]; } \ return (v) #define NEST(TYPE, f, F) static TYPE f(unsigned short *xsubi) { \ int i; TYPE v; unsigned temp[3]; \ for (i = 0; i < 3; i++) { temp[i] = x[i]; x[i] = LOW(xsubi[i]); } \ v = F(); REST(v); } /* Way ugly solution to problem names, but it works */ #define x _drand48_x #define a _drand48_a #define c _drand48_c /* End way ugly */ static unsigned x[3] = { X0, X1, X2 }, a[3] = { A0, A1, A2 }, c = C; static unsigned short lastx[3]; static void next(void); static double ipf_r_drand48_u(void) { static double two16m = 1.0 / ((int32_t)1 << N); next(); return (two16m * (two16m * (two16m * x[0] + x[1]) + x[2])); } NEST(double, ipf_r_erand48_u, ipf_r_drand48_u) static long ipf_r_lrand48_u(void) { next(); return ((long)((int32_t)x[2] << (N - 1)) + (x[1] >> 1)); } static void init48(void) { mutex_init(&seed_lock, 0L, MUTEX_DRIVER, 0L); init48done = 1; } static long ipf_r_mrand48_u(void) { next(); return ((long)((int32_t)x[2] << N) + x[1]); } static void next(void) { unsigned p[2], q[2], r[2], carry0, carry1; MUL(a[0], x[0], p); ADDEQU(p[0], c, carry0); ADDEQU(p[1], carry0, carry1); MUL(a[0], x[1], q); ADDEQU(p[1], q[0], carry0); MUL(a[1], x[0], r); x[2] = LOW(carry0 + carry1 + CARRY(p[1], r[0]) + q[1] + r[1] + a[0] * x[2] + a[1] * x[1] + a[2] * x[0]); x[1] = LOW(p[1] + r[0]); x[0] = LOW(p[0]); } void ipf_r_srand48(long seedval) { int32_t fixseed = (int32_t)seedval; /* limit to 32 bits */ if (init48done == 0) init48(); mutex_enter(&seed_lock); SEED(X0, LOW(fixseed), HIGH(fixseed)); mutex_exit(&seed_lock); } unsigned short * ipf_r_seed48(unsigned short seed16v[3]) { if (init48done == 0) init48(); mutex_enter(&seed_lock); SETLOW(lastx, x, 0); SEED(LOW(seed16v[0]), LOW(seed16v[1]), LOW(seed16v[2])); mutex_exit(&seed_lock); return (lastx); } void ipf_r_lcong48(unsigned short param[7]) { if (init48done == 0) init48(); mutex_enter(&seed_lock); SETLOW(x, param, 0); SETLOW(a, param, 3); c = LOW(param[6]); mutex_exit(&seed_lock); } NEST(long, ipf_r_nrand48_u, ipf_r_lrand48_u) NEST(long, ipf_r_jrand48_u, ipf_r_mrand48_u) EXPORT0(double, ipf_r_drand48, ipf_r_drand48_u) EXPORT1(double, ipf_r_erand48, ipf_r_erand48_u) EXPORT0(long, ipf_r_lrand48, ipf_r_lrand48_u) EXPORT1(long, ipf_r_nrand48, ipf_r_nrand48_u) EXPORT0(long, ipf_r_mrand48, ipf_r_mrand48_u) EXPORT1(long, ipf_r_jrand48, ipf_r_jrand48_u) #ifdef DRIVER /* This should print the sequences of integers in Tables 2 and 1 of the TM: 1623, 3442, 1447, 1829, 1305, ... 657EB7255101, D72A0C966378, 5A743C062A23, ... */ #include main() { int i; for (i = 0; i < 80; i++) { printf("%4d ", (int)(4096 * ipf_r_drand48())); printf("%.4X%.4X%.4X\n", x[2], x[1], x[0]); } } #else #include unsigned ipf_random() { static int seeded = 0; if (seeded == 0) { long seed; /* * Keep reseeding until some good randomness comes from the * kernel. One of two things will happen: it will succeed or * it will fail (with poor randomness), thus creating NAT * sessions will be "slow" until enough randomness is gained * to not need to get more. It isn't necessary to initialise * seed as it will just pickup whatever random garbage has * been left on the heap and that's good enough until we * get some good garbage. */ if (random_get_bytes((uint8_t *)&seed, sizeof (seed)) == 0) seeded = 1; ipf_r_srand48(seed); } return (unsigned)ipf_r_lrand48(); } #endif