source: libcfa/src/bits/random.hfa@ 5657de9

ADT ast-experimental
Last change on this file since 5657de9 was dd46fd3, checked in by Peter A. Buhr <pabuhr@…>, 3 years ago

generalization of PRNG

  • Property mode set to 100644
File size: 6.8 KB
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1//
2// Cforall Version 1.0.0 Copyright (C) 2022 University of Waterloo
3//
4// The contents of this file are covered under the licence agreement in the
5// file "LICENCE" distributed with Cforall.
6//
7// random.hfa --
8//
9// Author : Peter A. Buhr
10// Created On : Fri Jan 14 07:18:11 2022
11// Last Modified By : Peter A. Buhr
12// Last Modified On : Wed Nov 30 18:32:25 2022
13// Update Count : 111
14//
15
16#pragma once
17
18#include <stdint.h>
19
20#define GLUE2( x, y ) x##y
21#define GLUE( x, y ) GLUE2( x, y )
22
23// Set default PRNG for architecture size.
24#ifdef __x86_64__ // 64-bit architecture
25#define LEHMER64
26#define XORSHIFT_6_21_7
27//#define XOSHIRO256PP
28//#define XOSHIRO128PP
29#else // 32-bit architecture
30#define LEHMER64
31#define XORSHIFT_6_21_7
32#endif // __x86_64__
33
34// C/CFA PRNG name and random-state.
35
36#ifdef LEHMER64
37#define PRNG_NAME_64 lehmer64
38#define PRNG_STATE_64_T __uint128_t
39#endif // LEHMER64
40
41#ifdef XORSHIFT_6_21_7
42#define PRNG_NAME_32 xorshift_6_21_7
43#define PRNG_STATE_32_T uint32_t
44#endif // XORSHIFT_6_21_7
45
46#ifdef XOSHIRO256PP
47#define PRNG_NAME_64 xoshiro256pp
48#define PRNG_STATE_64_T struct GLUE(PRNG_NAME_64,_t)
49PRNG_STATE_64_T { uint64_t s[4]; };
50#endif // XOSHIRO256PP
51
52#ifdef XOSHIRO128PP
53#define PRNG_NAME_32 xoshiro128pp
54#define PRNG_STATE_32_T struct GLUE(PRNG_NAME_32,_t)
55PRNG_STATE_32_T { uint32_t s[4]; };
56#endif // XOSHIRO128PP
57
58#define PRNG_SET_SEED_64 GLUE(PRNG_NAME_64,_set_seed)
59#define PRNG_SET_SEED_32 GLUE(PRNG_NAME_32,_set_seed)
60
61
62// Default PRNG used by runtime.
63#ifdef __x86_64__ // 64-bit architecture
64#define PRNG_NAME PRNG_NAME_64
65#define PRNG_STATE_T PRNG_STATE_64_T
66#else // 32-bit architecture
67#define PRNG_NAME PRNG_NAME_32
68#define PRNG_STATE_T PRNG_STATE_32_T
69#endif // __x86_64__
70
71#define PRNG_SET_SEED GLUE(PRNG_NAME,_set_seed)
72
73
74#ifdef __cforall // don't include in C code (invoke.h)
75
76// https://prng.di.unimi.it/xoshiro128plusplus.c
77//
78// This is xoshiro128++ 1.0, one of our 32-bit all-purpose, rock-solid generators. It has excellent speed, a state size
79// (128 bits) that is large enough for mild parallelism, and it passes all tests we are aware of.
80//
81// For generating just single-precision (i.e., 32-bit) floating-point numbers, xoshiro128+ is even faster.
82//
83// The state must be seeded so that it is not everywhere zero.
84
85#ifndef XOSHIRO128PP
86struct xoshiro128pp_t { uint32_t s[4]; };
87#endif // ! XOSHIRO128PP
88
89static inline uint32_t xoshiro128pp( xoshiro128pp_t & rs ) with(rs) {
90 inline uint32_t rotl( const uint32_t x, int k ) {
91 return (x << k) | (x >> (32 - k));
92 }
93
94 const uint32_t result = rotl( s[0] + s[3], 7 ) + s[0];
95 const uint32_t t = s[1] << 9;
96
97 s[2] ^= s[0];
98 s[3] ^= s[1];
99 s[1] ^= s[2];
100 s[0] ^= s[3];
101 s[2] ^= t;
102 s[3] = rotl( s[3], 11 );
103 return result;
104}
105
106static inline void xoshiro128pp_set_seed( xoshiro128pp_t & state, uint32_t seed ) {
107 state = (xoshiro128pp_t){ {seed, seed, seed, seed} };
108} // xoshiro128pp_set_seed
109
110// This is xoshiro256++ 1.0, one of our all-purpose, rock-solid generators. It has excellent (sub-ns) speed, a state
111// (256 bits) that is large enough for any parallel application, and it passes all tests we are aware of.
112//
113// For generating just floating-point numbers, xoshiro256+ is even faster.
114//
115// The state must be seeded so that it is not everywhere zero. If you have a 64-bit seed, we suggest to seed a
116// splitmix64 generator and use its output to fill s.
117
118#ifndef XOSHIRO256PP
119struct xoshiro256pp_t { uint64_t s[4]; };
120#endif // ! XOSHIRO256PP
121
122static inline uint64_t xoshiro256pp( xoshiro256pp_t & rs ) with(rs) {
123 inline uint64_t rotl(const uint64_t x, int k) {
124 return (x << k) | (x >> (64 - k));
125 }
126
127 const uint64_t result = rotl( s[0] + s[3], 23 ) + s[0];
128 const uint64_t t = s[1] << 17;
129
130 s[2] ^= s[0];
131 s[3] ^= s[1];
132 s[1] ^= s[2];
133 s[0] ^= s[3];
134 s[2] ^= t;
135 s[3] = rotl( s[3], 45 );
136 return result;
137}
138
139static inline void xoshiro256pp_set_seed( xoshiro256pp_t & state, uint64_t seed ) {
140 state = (xoshiro256pp_t){ {seed, seed, seed, seed} };
141} // xoshiro256pp_set_seed
142
143#ifdef __SIZEOF_INT128__
144 // Pipelined to allow out-of-order overlap with reduced dependencies. Critically, the current random state is
145 // returned (copied), and then compute and store the next random value.
146 //--------------------------------------------------
147 static inline uint64_t lehmer64( __uint128_t & state ) {
148 __uint128_t ret = state;
149 state *= 0xda942042e4dd58b5;
150 return ret >> 64;
151 } // lehmer64
152
153 static inline void lehmer64_set_seed( __uint128_t & state, uint64_t seed ) {
154 state = seed;
155 } // lehmer64_set_seed
156
157 //--------------------------------------------------
158 static inline uint64_t wyhash64( uint64_t & state ) {
159 state += 0x60bee2bee120fc15;
160 __uint128_t tmp;
161 tmp = (__uint128_t) state * 0xa3b195354a39b70d;
162 uint64_t m1 = (tmp >> 64) ^ tmp;
163 tmp = (__uint128_t)m1 * 0x1b03738712fad5c9;
164 uint64_t m2 = (tmp >> 64) ^ tmp;
165 return m2;
166 }
167
168 static inline void wyhash64_set_seed( __uint128_t & state, uint64_t seed ) {
169 state = seed;
170 } // lehmer64_set_seed
171#endif // __SIZEOF_INT128__
172
173//--------------------------------------------------
174static inline uint64_t xorshift_13_7_17( uint64_t & state ) {
175 uint64_t ret = state;
176 state ^= state << 13;
177 state ^= state >> 7;
178 state ^= state << 17;
179 return ret;
180}
181
182static inline void xorshift_13_7_17_set_seed( uint64_t & state, uint32_t seed ) {
183 state = seed;
184}
185
186//--------------------------------------------------
187static inline uint32_t xorshift_6_21_7( uint32_t & state ) {
188 uint32_t ret = state;
189 state ^= state << 6;
190 state ^= state >> 21;
191 state ^= state << 7;
192 return ret;
193} // xorshift_6_21_7
194
195static inline void xorshift_6_21_7_set_seed( uint32_t & state, uint32_t seed ) {
196 state = seed;
197}
198
199//--------------------------------------------------
200typedef struct {
201 uint32_t a, b, c, d;
202 uint32_t counter;
203} xorwow__state_t;
204
205// The state array must be initialized to not be all zero in the first four words.
206static inline uint32_t xorwow( xorwow__state_t & state ) {
207 // Algorithm "xorwow" from p. 5 of Marsaglia, "Xorshift RNGs".
208 uint32_t ret = state.a + state.counter;
209 uint32_t t = state.d;
210
211 uint32_t const s = state.a;
212 state.d = state.c;
213 state.c = state.b;
214 state.b = s;
215
216 t ^= t >> 2;
217 t ^= t << 1;
218 t ^= s ^ (s << 4);
219 state.a = t;
220
221 state.counter += 362437;
222 return ret;
223}
224
225// Used in __tls_rand_fwd
226//--------------------------------------------------
227#define M (1_l64u << 48_l64u)
228#define A (25214903917_l64u)
229#define AI (18446708753438544741_l64u)
230#define C (11_l64u)
231#define D (16_l64u)
232
233// Bi-directional LCG random-number generator
234static inline uint32_t LCGBI_fwd( uint64_t & state ) {
235 state = (A * state + C) & (M - 1);
236 return state >> D;
237}
238
239static inline uint32_t LCGBI_bck( uint64_t & state ) {
240 unsigned int r = state >> D;
241 state = AI * (state - C) & (M - 1);
242 return r;
243}
244
245#undef M
246#undef A
247#undef AI
248#undef C
249#undef D
250
251#endif // __cforall
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