Add guf_rand32
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@ -11,6 +11,10 @@ static inline uint64_t guf_rotl_u64(uint64_t x, int k)
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return (x << k) | (x >> (64 - k));
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return (x << k) | (x >> (64 - k));
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}
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}
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static inline uint32_t guf_rotl_u32(uint32_t x, int k) {
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return (x << k) | (x >> (32 - k));
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}
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static inline float guf_clamp_f32(float x, float min, float max)
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static inline float guf_clamp_f32(float x, float min, float max)
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{
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{
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if (x < min) return min;
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if (x < min) return min;
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@ -87,12 +87,16 @@ GUF_FN_KEYWORDS uint64_t guf_rand_u64(guf_randstate *state)
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GUF_ASSERT(state->s[0] || state->s[1] || state->s[2] || state->s[3]);
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GUF_ASSERT(state->s[0] || state->s[1] || state->s[2] || state->s[3]);
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const uint64_t result = guf_rotl_u64(state->s[1] * 5, 7) * 9;
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const uint64_t result = guf_rotl_u64(state->s[1] * 5, 7) * 9;
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const uint64_t t = state->s[1] << 17;
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const uint64_t t = state->s[1] << 17;
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state->s[2] ^= state->s[0];
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state->s[2] ^= state->s[0];
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state->s[3] ^= state->s[1];
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state->s[3] ^= state->s[1];
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state->s[1] ^= state->s[2];
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state->s[1] ^= state->s[2];
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state->s[0] ^= state->s[3];
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state->s[0] ^= state->s[3];
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state->s[2] ^= t;
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state->s[2] ^= t;
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state->s[3] = guf_rotl_u64(state->s[3], 45);
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state->s[3] = guf_rotl_u64(state->s[3], 45);
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return result;
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return result;
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239
src/guf_rand32.h
Normal file
239
src/guf_rand32.h
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@ -0,0 +1,239 @@
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#ifndef GUF_RAND32_H
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#define GUF_RAND32_H
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#include "guf_common.h"
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#include "guf_assert.h"
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#include "guf_math.h"
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#include <math.h>
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#include <float.h>
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#define GUF_RAND32_MAX UINT32_MAX
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typedef struct guf_randstate32 { // State for xoshiro256** 1.0
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uint32_t s[4];
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} guf_randstate32;
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#ifdef GUF_IMPL_STATIC
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#define GUF_FN_KEYWORDS static
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#else
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#define GUF_FN_KEYWORDS
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#endif
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GUF_FN_KEYWORDS uint64_t guf_rand32_splitmix64(uint64_t *state);
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GUF_FN_KEYWORDS void guf_randstate32_init(guf_randstate32 *state, uint64_t seed);
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void guf_randstate32_jump(guf_randstate32 *state); // Advance the state; equivalent to 2^128 calls to guf_rand32_u32(state)
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// uniform distributions using xoshiro128** 1.1
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GUF_FN_KEYWORDS uint32_t guf_rand32_u32(guf_randstate32 *state); // [0, GUF_RAND_MAX]
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GUF_FN_KEYWORDS float guf_rand32_f32(guf_randstate32 *state); // [0.f, 1.f)
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// return true with a probability of p, false with a probability of (1 - p)
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GUF_FN_KEYWORDS bool guf_rand32_bernoulli_trial(guf_randstate32 *state, float p);
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GUF_FN_KEYWORDS bool guf_rand32_flip(guf_randstate32 *state); // Fair coin flip (bernoulli trial with p == 0.5)
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GUF_FN_KEYWORDS float guf_rand32range_f32(guf_randstate32 *state, float min, float end); // [min, end)
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GUF_FN_KEYWORDS int32_t guf_rand32range_i32(guf_randstate32 *state, int32_t min, int32_t max); // [min, max]
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// normal distributions
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GUF_FN_KEYWORDS void guf_rand32_normal_sample_f32(guf_randstate32 *state, float mean, float std_dev, float *result, ptrdiff_t n);
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GUF_FN_KEYWORDS float guf_rand32_normal_sample_one_f32(guf_randstate32 *state, float mean, float std_dev);
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#if defined(GUF_IMPL) || defined(GUF_IMPL_STATIC)
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/*
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splitmix64 (public domain) written in 2015 by Sebastiano Vigna (vigna@acm.org)
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cf. https://prng.di.unimi.it/splitmix64.c (last-retrieved 2025-02-11)
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*/
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GUF_FN_KEYWORDS uint64_t guf_rand32_splitmix64(uint64_t *state)
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{
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GUF_ASSERT(state);
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uint64_t z = ((*state) += 0x9e3779b97f4a7c15);
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z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9;
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z = (z ^ (z >> 27)) * 0x94d049bb133111eb;
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return z ^ (z >> 31);
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}
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GUF_FN_KEYWORDS void guf_randstate32_init(guf_randstate32 *state, uint64_t seed)
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{
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GUF_ASSERT_RELEASE(state);
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uint64_t split = guf_rand32_splitmix64(&seed);
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state->s[0] = (uint32_t)split; // lower 32-bits
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state->s[1] = (uint32_t)(split >> 32); // upper 32-bits
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split = guf_rand32_splitmix64(&seed);
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state->s[2] = (uint32_t)split; // lower 32-bits
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state->s[3] = (uint32_t)(split >> 32); // upper 32-bits
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if (!state->s[0] && !state->s[1] && !state->s[2] && !state->s[3]) { // State must not be only zeroes:
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state->s[0] = 0x9e3779b9; // arbitrary constant != 0
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seed = 0x9e3779b97f4a7c15;
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split = guf_rand32_splitmix64(&seed);
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state->s[0] = (uint32_t)split; // lower 32-bits
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state->s[1] = (uint32_t)(split >> 32); // upper 32-bits
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split = guf_rand32_splitmix64(&seed);
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state->s[2] = (uint32_t)split; // lower 32-bits
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state->s[3] = (uint32_t)(split >> 32); // upper 32-bits
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}
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}
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/*
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xoshiro128** 1.1 (public domain) written in 2018 by David Blackman and Sebastiano Vigna (vigna@acm.org)
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cf. https://prng.di.unimi.it/xoshiro128starstar.c (last-retrieved 2025-02-11)
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*/
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GUF_FN_KEYWORDS uint32_t guf_rand32_u32(guf_randstate32 *state)
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{
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GUF_ASSERT(state);
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GUF_ASSERT(state->s[0] || state->s[1] || state->s[2] || state->s[3]);
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const uint32_t result = guf_rotl_u32(state->s[1] * 5, 7) * 9;
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const uint32_t t = state->s[1] << 9;
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state->s[2] ^= state->s[0];
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state->s[3] ^= state->s[1];
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state->s[1] ^= state->s[2];
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state->s[0] ^= state->s[3];
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state->s[2] ^= t;
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state->s[3] = guf_rotl_u32(state->s[3], 11);
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return result;
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}
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/*
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Equivalent to 2^128 calls to guf_rand_u64(); it can be used to generate 2^128
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non-overlapping subsequences for parallel computations.
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*/
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void guf_randstate32_jump(guf_randstate32 *state)
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{
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GUF_ASSERT(state);
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static const uint32_t JUMP[] = { 0x8764000b, 0xf542d2d3, 0x6fa035c3, 0x77f2db5b };
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uint32_t s0 = 0;
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uint32_t s1 = 0;
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uint32_t s2 = 0;
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uint32_t s3 = 0;
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for(size_t i = 0; i < sizeof JUMP / sizeof *JUMP; i++) {
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for(int b = 0; b < 32; b++) {
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if (JUMP[i] & UINT32_C(1) << b) {
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s0 ^= state->s[0];
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s1 ^= state->s[1];
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s2 ^= state->s[2];
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s3 ^= state->s[3];
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}
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guf_rand32_u32(state);
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}
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}
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state->s[0] = s0;
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state->s[1] = s1;
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state->s[2] = s2;
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state->s[3] = s3;
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}
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// Generate float in the unit interval [0, 1)
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GUF_FN_KEYWORDS float guf_rand32_f32(guf_randstate32 *state)
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{
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return (guf_rand32_u32(state) >> 8) * 0x1.0p-24f; // 8 == 32 - 24; (float has a 24-bit mantissa/significand)
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}
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GUF_FN_KEYWORDS bool guf_rand32_bernoulli_trial(guf_randstate32 *state, float p)
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{
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p = guf_clamp_f32(p, 0, 1);
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return guf_rand32_f32(state) < p; // never true for p = 0, always true for p = 1 since guf_rand32_f32 is in range [0, 1)
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}
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GUF_FN_KEYWORDS bool guf_rand32_flip(guf_randstate32 *state)
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{
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return guf_rand32_bernoulli_trial(state, 0.5f);
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}
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// returns uniformly-distributed random float in range [min, end) (or min if min == end)
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GUF_FN_KEYWORDS float guf_rand32range_f32(guf_randstate32 *state, float min, float end)
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{
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if (end == INFINITY) {
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end = FLT_MAX;
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}
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if (min == -INFINITY) {
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min = -FLT_MAX;
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}
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GUF_ASSERT_RELEASE(end >= min);
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return guf_rand32_f32(state) * (end - min) + min;
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}
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// returns uniformly-distributed random int32_t in range [min, max] (max is inclusive as opposed to the f32/f64 versions)
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GUF_FN_KEYWORDS int32_t guf_rand32range_i32(guf_randstate32 *state, int32_t min, int32_t max)
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{
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GUF_ASSERT_RELEASE(max >= min);
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if (min == max) {
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return min;
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}
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// rand_max is 2^32 - 1 for rand_max_shift == 1
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const unsigned rand_max_shift = 1;
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const uint32_t rand_max = GUF_RAND32_MAX >> rand_max_shift; // 2^32 - 1
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const uint32_t delta = max - min;
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if (delta > rand_max) {
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guf_panic(GUF_ERR_INT_OVERFLOW, GUF_ERR_MSG("in function guf_randrange32_i32: interval [min, max] larger than INT32_MAX"));
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return -1;
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}
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/*
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cf. https://c-faq.com/lib/randrange.html (last-retrieved 2025-02-11)
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https://stackoverflow.com/a/6852396 (last-retrieved 2025-02-11)
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*/
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const uint32_t num_rand_vals = rand_max + 1u; // 2^31
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const uint32_t num_bins = (delta + 1u);
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const uint32_t bin_size = num_rand_vals / num_bins; // bin_size = floor(num_rand_vals / num_bins)
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const uint32_t limit = num_rand_vals - (num_rand_vals % num_bins); // limit == bin_size * num_bins
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GUF_ASSERT(limit == bin_size * num_bins);
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uint32_t step;
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do {
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step = guf_rand32_u32(state) >> rand_max_shift;
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} while (step >= limit);
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step = step / bin_size;
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const int32_t rnd = min + step;
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GUF_ASSERT(rnd >= min && rnd <= max);
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return rnd;
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}
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// Box-Müller-transform transcribed from wikipedia, cf. https://en.wikipedia.org/wiki/Box%E2%80%93Muller_transform (last-retrieved 2025-02-12)
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GUF_FN_KEYWORDS void guf_rand32_normal_sample_f32(guf_randstate32 *state, float mean, float std_dev, float *result, ptrdiff_t n)
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{
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GUF_ASSERT_RELEASE(result);
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GUF_ASSERT_RELEASE(n >= 0);
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const float TAU = 2.f * (float)GUF_PI;
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ptrdiff_t i = 0;
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while (i < n) {
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float u1, u2;
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do {
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u1 = guf_rand32_f32(state);
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} while (u1 == 0);
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u2 = guf_rand32_f32(state);
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const float mag = std_dev * sqrtf(-2.f * logf(u1));
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result[i++] = mag * cosf(TAU * u2) + mean;
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if (i < n) {
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result[i++] = mag * sinf(TAU * u2) + mean;
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}
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}
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}
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GUF_FN_KEYWORDS float guf_rand32_normal_sample_one_f32(guf_randstate32 *state, float mean, float std_dev)
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{
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float result;
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guf_rand32_normal_sample_f32(state, mean, std_dev, &result, 1);
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return result;
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}
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#undef GUF_IMPL
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#undef GUF_IMPL_STATIC
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#endif
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#undef GUF_FN_KEYWORDS
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#endif
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#define GUF_IMPL_STATIC
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#define GUF_IMPL_STATIC
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#include "guf_rand.h"
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#include "guf_rand.h"
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#define GUF_IMPL_STATIC
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#include "guf_rand32.h"
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int main(void)
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int main(void)
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{
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{
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printf("libguf test: compiled with C %ld\n", __STDC_VERSION__);
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printf("libguf test: compiled with C %ld\n", __STDC_VERSION__);
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@ -165,13 +168,15 @@ int main(void)
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guf_randstate rng;
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guf_randstate rng;
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guf_randstate_init(&rng, time(NULL));
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guf_randstate_init(&rng, time(NULL));
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guf_randstate_jump(&rng);
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guf_randstate32 rng32;
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guf_randstate32_init(&rng32, time(NULL));
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printf("\n");
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printf("\n");
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int heads = 0, tails = 0;
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int heads = 0, tails = 0;
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int throws = 10;
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int throws = 10;
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for (i = 0; i < throws; ++i) {
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for (i = 0; i < throws; ++i) {
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bool is_head = guf_rand_flip(&rng);
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bool is_head = guf_rand32_flip(&rng32);
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if (is_head) {
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if (is_head) {
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puts("head");
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puts("head");
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++heads;
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++heads;
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@ -184,14 +189,12 @@ int main(void)
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int result[256];
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int result[256];
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memset(result, 0, sizeof result);
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memset(result, 0, sizeof result);
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for (int n = 0; n < 24000; ++n) {
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for (int n = 0; n < 24000; ++n) {
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double r = round(guf_rand_normal_sample_one_f64(&rng, 100, 10));
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double r = round(guf_rand_normal_sample_one_f64(&rng, 100, 10));
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if (r >= 0 && r < GUF_STATIC_BUF_SIZE(result)) {
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if (r >= 0 && r < GUF_STATIC_BUF_SIZE(result)) {
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result[(int)r] += 1;
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result[(int)r] += 1;
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}
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}
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}
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}
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for (size_t n = 50; n <= 150; ++n) {
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for (size_t n = 50; n <= 150; ++n) {
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printf("%zu:\t", n);
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printf("%zu:\t", n);
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for (int j = 0; j < result[n] / 8; ++j) {
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for (int j = 0; j < result[n] / 8; ++j) {
|
||||||
|
|||||||
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Reference in New Issue
Block a user