[e57de69] | 1 | // |
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| 2 | // Cforall Version 1.0.0 Copyright (C) 2022 University of Waterloo |
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| 3 | // |
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| 4 | // The contents of this file are covered under the licence agreement in the |
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| 5 | // file "LICENCE" distributed with Cforall. |
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| 6 | // |
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| 7 | // random.hfa -- |
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| 8 | // |
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| 9 | // Author : Peter A. Buhr |
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| 10 | // Created On : Fri Jan 14 07:18:11 2022 |
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| 11 | // Last Modified By : Peter A. Buhr |
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[4020f09] | 12 | // Last Modified On : Mon Dec 5 13:13:14 2022 |
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| 13 | // Update Count : 128 |
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[e57de69] | 14 | // |
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| 15 | |
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[13c5e19] | 16 | #pragma once |
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| 17 | |
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| 18 | #include <stdint.h> |
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| 19 | |
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[dd46fd3] | 20 | #define GLUE2( x, y ) x##y |
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| 21 | #define GLUE( x, y ) GLUE2( x, y ) |
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| 22 | |
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[9fce2572] | 23 | // Set default PRNG for architecture size. |
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[d2ad151] | 24 | #ifdef __x86_64__ // 64-bit architecture |
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| 25 | #define LEHMER64 |
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[dd46fd3] | 26 | #define XORSHIFT_6_21_7 |
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| 27 | //#define XOSHIRO256PP |
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| 28 | //#define XOSHIRO128PP |
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[d2ad151] | 29 | #else // 32-bit architecture |
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[c8238c0] | 30 | #define XORSHIFT_13_7_17 |
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[d2ad151] | 31 | #define XORSHIFT_6_21_7 |
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| 32 | #endif // __x86_64__ |
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| 33 | |
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[4020f09] | 34 | // Define C/CFA PRNG name and random-state. |
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| 35 | |
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| 36 | // SKULLDUGGERY: typedefs name struct and typedef with the same name to deal with CFA typedef numbering problem. |
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[dd46fd3] | 37 | |
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[9fce2572] | 38 | #ifdef LEHMER64 |
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[dd46fd3] | 39 | #define PRNG_NAME_64 lehmer64 |
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| 40 | #define PRNG_STATE_64_T __uint128_t |
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[9fce2572] | 41 | #endif // LEHMER64 |
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| 42 | |
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[c8238c0] | 43 | #ifdef XORSHIFT_13_7_17 |
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| 44 | #define PRNG_NAME_64 xorshift_13_7_17 |
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| 45 | #define PRNG_STATE_64_T uint64_t |
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| 46 | #endif // XORSHIFT_13_7_17 |
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| 47 | |
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[9fce2572] | 48 | #ifdef XORSHIFT_6_21_7 |
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[dd46fd3] | 49 | #define PRNG_NAME_32 xorshift_6_21_7 |
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| 50 | #define PRNG_STATE_32_T uint32_t |
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[9fce2572] | 51 | #endif // XORSHIFT_6_21_7 |
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| 52 | |
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[dd46fd3] | 53 | #ifdef XOSHIRO256PP |
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| 54 | #define PRNG_NAME_64 xoshiro256pp |
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[4020f09] | 55 | #define PRNG_STATE_64_T GLUE(PRNG_NAME_64,_t) |
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| 56 | typedef struct PRNG_STATE_64_T { uint64_t s[4]; } PRNG_STATE_64_T; |
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[dd46fd3] | 57 | #endif // XOSHIRO256PP |
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| 58 | |
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| 59 | #ifdef XOSHIRO128PP |
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| 60 | #define PRNG_NAME_32 xoshiro128pp |
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[4020f09] | 61 | #define PRNG_STATE_32_T GLUE(PRNG_NAME_32,_t) |
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| 62 | typedef struct PRNG_STATE_32_T { uint32_t s[4]; } PRNG_STATE_32_T; |
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| 63 | #endif // XOSHIRO128PP |
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| 64 | |
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| 65 | #ifdef XORWOW |
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| 66 | #define PRNG_NAME_32 xorwow |
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| 67 | #define PRNG_STATE_32_T GLUE(PRNG_NAME_32,_t) |
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| 68 | typedef struct PRNG_STATE_32_T { uint32_t a, b, c, d, counter; } PRNG_STATE_32_T; |
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[dd46fd3] | 69 | #endif // XOSHIRO128PP |
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| 70 | |
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| 71 | #define PRNG_SET_SEED_64 GLUE(PRNG_NAME_64,_set_seed) |
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| 72 | #define PRNG_SET_SEED_32 GLUE(PRNG_NAME_32,_set_seed) |
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| 73 | |
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| 74 | |
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| 75 | // Default PRNG used by runtime. |
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| 76 | #ifdef __x86_64__ // 64-bit architecture |
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| 77 | #define PRNG_NAME PRNG_NAME_64 |
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| 78 | #define PRNG_STATE_T PRNG_STATE_64_T |
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| 79 | #else // 32-bit architecture |
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| 80 | #define PRNG_NAME PRNG_NAME_32 |
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| 81 | #define PRNG_STATE_T PRNG_STATE_32_T |
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| 82 | #endif // __x86_64__ |
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| 83 | |
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| 84 | #define PRNG_SET_SEED GLUE(PRNG_NAME,_set_seed) |
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| 85 | |
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| 86 | |
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[9fce2572] | 87 | #ifdef __cforall // don't include in C code (invoke.h) |
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| 88 | |
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[4020f09] | 89 | // https://prng.di.unimi.it/xoshiro256starstar.c |
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[dd46fd3] | 90 | // |
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| 91 | // This is xoshiro256++ 1.0, one of our all-purpose, rock-solid generators. It has excellent (sub-ns) speed, a state |
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| 92 | // (256 bits) that is large enough for any parallel application, and it passes all tests we are aware of. |
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| 93 | // |
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| 94 | // For generating just floating-point numbers, xoshiro256+ is even faster. |
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| 95 | // |
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| 96 | // The state must be seeded so that it is not everywhere zero. If you have a 64-bit seed, we suggest to seed a |
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| 97 | // splitmix64 generator and use its output to fill s. |
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| 98 | |
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| 99 | #ifndef XOSHIRO256PP |
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[4020f09] | 100 | typedef struct xoshiro256pp_t { uint64_t s[4]; } xoshiro256pp_t; |
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[dd46fd3] | 101 | #endif // ! XOSHIRO256PP |
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| 102 | |
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| 103 | static inline uint64_t xoshiro256pp( xoshiro256pp_t & rs ) with(rs) { |
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| 104 | inline uint64_t rotl(const uint64_t x, int k) { |
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| 105 | return (x << k) | (x >> (64 - k)); |
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[4020f09] | 106 | } // rotl |
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[dd46fd3] | 107 | |
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| 108 | const uint64_t result = rotl( s[0] + s[3], 23 ) + s[0]; |
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| 109 | const uint64_t t = s[1] << 17; |
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| 110 | |
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| 111 | s[2] ^= s[0]; |
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| 112 | s[3] ^= s[1]; |
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| 113 | s[1] ^= s[2]; |
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| 114 | s[0] ^= s[3]; |
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| 115 | s[2] ^= t; |
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| 116 | s[3] = rotl( s[3], 45 ); |
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| 117 | return result; |
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[4020f09] | 118 | } // xoshiro256pp |
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[dd46fd3] | 119 | |
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| 120 | static inline void xoshiro256pp_set_seed( xoshiro256pp_t & state, uint64_t seed ) { |
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| 121 | state = (xoshiro256pp_t){ {seed, seed, seed, seed} }; |
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| 122 | } // xoshiro256pp_set_seed |
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| 123 | |
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[4020f09] | 124 | // https://prng.di.unimi.it/xoshiro128plusplus.c |
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| 125 | // |
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| 126 | // This is xoshiro128++ 1.0, one of our 32-bit all-purpose, rock-solid generators. It has excellent speed, a state size |
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| 127 | // (128 bits) that is large enough for mild parallelism, and it passes all tests we are aware of. |
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| 128 | // |
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| 129 | // For generating just single-precision (i.e., 32-bit) floating-point numbers, xoshiro128+ is even faster. |
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| 130 | // |
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| 131 | // The state must be seeded so that it is not everywhere zero. |
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| 132 | |
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| 133 | #ifndef XOSHIRO128PP |
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| 134 | typedef struct xoshiro128pp_t { uint32_t s[4]; } xoshiro128pp_t; |
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| 135 | #endif // ! XOSHIRO128PP |
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| 136 | |
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| 137 | static inline uint32_t xoshiro128pp( xoshiro128pp_t & rs ) with(rs) { |
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| 138 | inline uint32_t rotl( const uint32_t x, int k ) { |
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| 139 | return (x << k) | (x >> (32 - k)); |
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| 140 | } // rotl |
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| 141 | |
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| 142 | const uint32_t result = rotl( s[0] + s[3], 7 ) + s[0]; |
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| 143 | const uint32_t t = s[1] << 9; |
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| 144 | |
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| 145 | s[2] ^= s[0]; |
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| 146 | s[3] ^= s[1]; |
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| 147 | s[1] ^= s[2]; |
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| 148 | s[0] ^= s[3]; |
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| 149 | s[2] ^= t; |
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| 150 | s[3] = rotl( s[3], 11 ); |
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| 151 | return result; |
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| 152 | } // xoshiro128pp |
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| 153 | |
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| 154 | static inline void xoshiro128pp_set_seed( xoshiro128pp_t & state, uint32_t seed ) { |
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| 155 | state = (xoshiro128pp_t){ {seed, seed, seed, seed} }; |
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| 156 | } // xoshiro128pp_set_seed |
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| 157 | |
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[dd46fd3] | 158 | #ifdef __SIZEOF_INT128__ |
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| 159 | // Pipelined to allow out-of-order overlap with reduced dependencies. Critically, the current random state is |
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| 160 | // returned (copied), and then compute and store the next random value. |
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| 161 | //-------------------------------------------------- |
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[611f29d] | 162 | static inline uint64_t lehmer64( __uint128_t & state ) { |
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| 163 | __uint128_t ret = state; |
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[7812a7b5] | 164 | state *= 0xda942042e4dd58b5; |
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[611f29d] | 165 | return ret >> 64; |
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[dd46fd3] | 166 | } // lehmer64 |
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[13c5e19] | 167 | |
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[dd46fd3] | 168 | static inline void lehmer64_set_seed( __uint128_t & state, uint64_t seed ) { |
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| 169 | state = seed; |
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| 170 | } // lehmer64_set_seed |
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| 171 | |
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| 172 | //-------------------------------------------------- |
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[611f29d] | 173 | static inline uint64_t wyhash64( uint64_t & state ) { |
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[7812a7b5] | 174 | state += 0x60bee2bee120fc15; |
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| 175 | __uint128_t tmp; |
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| 176 | tmp = (__uint128_t) state * 0xa3b195354a39b70d; |
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| 177 | uint64_t m1 = (tmp >> 64) ^ tmp; |
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| 178 | tmp = (__uint128_t)m1 * 0x1b03738712fad5c9; |
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| 179 | uint64_t m2 = (tmp >> 64) ^ tmp; |
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| 180 | return m2; |
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| 181 | } |
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[dd46fd3] | 182 | |
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| 183 | static inline void wyhash64_set_seed( __uint128_t & state, uint64_t seed ) { |
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| 184 | state = seed; |
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| 185 | } // lehmer64_set_seed |
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| 186 | #endif // __SIZEOF_INT128__ |
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[13c5e19] | 187 | |
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| 188 | //-------------------------------------------------- |
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[611f29d] | 189 | static inline uint64_t xorshift_13_7_17( uint64_t & state ) { |
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| 190 | uint64_t ret = state; |
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| 191 | state ^= state << 13; |
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| 192 | state ^= state >> 7; |
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| 193 | state ^= state << 17; |
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| 194 | return ret; |
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[4020f09] | 195 | } // xorshift_13_7_17 |
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[13c5e19] | 196 | |
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[dd46fd3] | 197 | static inline void xorshift_13_7_17_set_seed( uint64_t & state, uint32_t seed ) { |
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| 198 | state = seed; |
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[4020f09] | 199 | } // xorshift_13_7_17_set_seed |
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[dd46fd3] | 200 | |
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[611f29d] | 201 | //-------------------------------------------------- |
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[4020f09] | 202 | // Marsaglia shift-XOR PRNG with thread-local state |
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| 203 | // Period is 4G-1 |
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| 204 | // 0 is absorbing and must be avoided |
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| 205 | // Low-order bits are not particularly random |
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[611f29d] | 206 | static inline uint32_t xorshift_6_21_7( uint32_t & state ) { |
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| 207 | uint32_t ret = state; |
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| 208 | state ^= state << 6; |
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| 209 | state ^= state >> 21; |
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| 210 | state ^= state << 7; |
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| 211 | return ret; |
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| 212 | } // xorshift_6_21_7 |
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| 213 | |
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[dd46fd3] | 214 | static inline void xorshift_6_21_7_set_seed( uint32_t & state, uint32_t seed ) { |
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| 215 | state = seed; |
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[4020f09] | 216 | } // xorshift_6_21_7_set_seed |
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[dd46fd3] | 217 | |
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[13c5e19] | 218 | //-------------------------------------------------- |
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[4020f09] | 219 | // The state array must be initialized to non-zero in the first four words. |
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| 220 | #ifndef XORWOW |
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| 221 | typedef struct xorwow_t { uint32_t a, b, c, d, counter; } xorwow_t; |
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| 222 | #endif // ! XORWOW |
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[13c5e19] | 223 | |
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[4020f09] | 224 | static inline uint32_t xorwow( xorwow_t & state ) { |
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[e57de69] | 225 | // Algorithm "xorwow" from p. 5 of Marsaglia, "Xorshift RNGs". |
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[611f29d] | 226 | uint32_t ret = state.a + state.counter; |
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[13c5e19] | 227 | uint32_t t = state.d; |
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| 228 | |
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| 229 | uint32_t const s = state.a; |
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| 230 | state.d = state.c; |
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| 231 | state.c = state.b; |
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| 232 | state.b = s; |
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| 233 | |
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| 234 | t ^= t >> 2; |
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| 235 | t ^= t << 1; |
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| 236 | t ^= s ^ (s << 4); |
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| 237 | state.a = t; |
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| 238 | |
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| 239 | state.counter += 362437; |
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[611f29d] | 240 | return ret; |
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[4020f09] | 241 | } // xorwow |
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| 242 | |
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| 243 | static inline void xorwow_set_seed( xorwow_t & state, uint32_t seed ) { |
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| 244 | state = (xorwow_t){ seed, seed, seed, seed, 0 }; |
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| 245 | } // xorwow_set_seed |
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[611f29d] | 246 | |
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| 247 | //-------------------------------------------------- |
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[4020f09] | 248 | // Used in __tls_rand_fwd |
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[611f29d] | 249 | #define M (1_l64u << 48_l64u) |
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| 250 | #define A (25214903917_l64u) |
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| 251 | #define AI (18446708753438544741_l64u) |
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| 252 | #define C (11_l64u) |
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| 253 | #define D (16_l64u) |
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| 254 | |
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[e57de69] | 255 | // Bi-directional LCG random-number generator |
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[611f29d] | 256 | static inline uint32_t LCGBI_fwd( uint64_t & state ) { |
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| 257 | state = (A * state + C) & (M - 1); |
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| 258 | return state >> D; |
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[4020f09] | 259 | } // LCGBI_fwd |
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[611f29d] | 260 | |
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| 261 | static inline uint32_t LCGBI_bck( uint64_t & state ) { |
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| 262 | unsigned int r = state >> D; |
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| 263 | state = AI * (state - C) & (M - 1); |
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| 264 | return r; |
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[4020f09] | 265 | } // LCGBI_bck |
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[611f29d] | 266 | |
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| 267 | #undef M |
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| 268 | #undef A |
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| 269 | #undef AI |
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| 270 | #undef C |
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| 271 | #undef D |
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[9fce2572] | 272 | |
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| 273 | #endif // __cforall |
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