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author | Indrajith K L | 2022-12-03 17:00:20 +0530 |
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committer | Indrajith K L | 2022-12-03 17:00:20 +0530 |
commit | f5c4671bfbad96bf346bd7e9a21fc4317b4959df (patch) | |
tree | 2764fc62da58f2ba8da7ed341643fc359873142f /v_windows/v/old/vlib/rand/pcg32 | |
download | cli-tools-windows-master.tar.gz cli-tools-windows-master.tar.bz2 cli-tools-windows-master.zip |
Diffstat (limited to 'v_windows/v/old/vlib/rand/pcg32')
-rw-r--r-- | v_windows/v/old/vlib/rand/pcg32/pcg32.v | 226 | ||||
-rw-r--r-- | v_windows/v/old/vlib/rand/pcg32/pcg32_test.v | 337 |
2 files changed, 563 insertions, 0 deletions
diff --git a/v_windows/v/old/vlib/rand/pcg32/pcg32.v b/v_windows/v/old/vlib/rand/pcg32/pcg32.v new file mode 100644 index 0000000..25a83f7 --- /dev/null +++ b/v_windows/v/old/vlib/rand/pcg32/pcg32.v @@ -0,0 +1,226 @@ +// Copyright (c) 2019-2021 Alexander Medvednikov. All rights reserved. +// Use of this source code is governed by an MIT license +// that can be found in the LICENSE file. +module pcg32 + +import rand.seed +import rand.constants + +// PCG32RNG ported from http://www.pcg-random.org/download.html, +// https://github.com/imneme/pcg-c-basic/blob/master/pcg_basic.c, and +// https://github.com/imneme/pcg-c-basic/blob/master/pcg_basic.h +pub struct PCG32RNG { +mut: + state u64 = u64(0x853c49e6748fea9b) ^ seed.time_seed_64() + inc u64 = u64(0xda3e39cb94b95bdb) ^ seed.time_seed_64() +} + +// seed seeds the PCG32RNG with 4 `u32` values. +// The first 2 represent the 64-bit initial state as `[lower 32 bits, higher 32 bits]` +// The last 2 represent the 64-bit stream/step of the PRNG. +pub fn (mut rng PCG32RNG) seed(seed_data []u32) { + if seed_data.len != 4 { + eprintln('PCG32RNG needs 4 u32s to be seeded. First two the initial state and the last two the stream/step. Both in little endian format: [lower, higher].') + exit(1) + } + init_state := u64(seed_data[0]) | (u64(seed_data[1]) << 32) + init_seq := u64(seed_data[2]) | (u64(seed_data[3]) << 32) + rng.state = u64(0) + rng.inc = (init_seq << u64(1)) | u64(1) + rng.u32() + rng.state += init_state + rng.u32() +} + +// u32 returns a pseudorandom unsigned `u32`. +[inline] +pub fn (mut rng PCG32RNG) u32() u32 { + oldstate := rng.state + rng.state = oldstate * (6364136223846793005) + rng.inc + xorshifted := u32(((oldstate >> u64(18)) ^ oldstate) >> u64(27)) + rot := u32(oldstate >> u64(59)) + return ((xorshifted >> rot) | (xorshifted << ((-rot) & u32(31)))) +} + +// u64 returns a pseudorandom 64-bit unsigned `u64`. +[inline] +pub fn (mut rng PCG32RNG) u64() u64 { + return u64(rng.u32()) | (u64(rng.u32()) << 32) +} + +// u32n returns a pseudorandom 32-bit unsigned `u32` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) u32n(max u32) u32 { + if max == 0 { + eprintln('max must be positive') + exit(1) + } + // To avoid bias, we need to make the range of the RNG a multiple of + // max, which we do by dropping output less than a threshold. + threshold := (-max % max) + // Uniformity guarantees that loop below will terminate. In practice, it + // should usually terminate quickly; on average (assuming all max's are + // equally likely), 82.25% of the time, we can expect it to require just + // one iteration. In practice, max's are typically small and only a + // tiny amount of the range is eliminated. + for { + r := rng.u32() + if r >= threshold { + return (r % max) + } + } + return u32(0) +} + +// u64n returns a pseudorandom 64-bit unsigned `u64` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) u64n(max u64) u64 { + if max == 0 { + eprintln('max must be positive') + exit(1) + } + threshold := (-max % max) + for { + r := rng.u64() + if r >= threshold { + return (r % max) + } + } + return u64(0) +} + +// u32_in_range returns a pseudorandom 32-bit unsigned `u32` in range `[min, max)`. +[inline] +pub fn (mut rng PCG32RNG) u32_in_range(min u32, max u32) u32 { + if max <= min { + eprintln('max must be greater than min') + exit(1) + } + return min + rng.u32n(u32(max - min)) +} + +// u64_in_range returns a pseudorandom 64-bit unsigned `u64` in range `[min, max)`. +[inline] +pub fn (mut rng PCG32RNG) u64_in_range(min u64, max u64) u64 { + if max <= min { + eprintln('max must be greater than min') + exit(1) + } + return min + rng.u64n(max - min) +} + +// int returns a 32-bit signed (possibly negative) `int`. +[inline] +pub fn (mut rng PCG32RNG) int() int { + return int(rng.u32()) +} + +// i64 returns a 64-bit signed (possibly negative) `i64`. +[inline] +pub fn (mut rng PCG32RNG) i64() i64 { + return i64(rng.u64()) +} + +// int31 returns a 31-bit positive pseudorandom `int`. +[inline] +pub fn (mut rng PCG32RNG) int31() int { + return int(rng.u32() >> 1) +} + +// int63 returns a 63-bit positive pseudorandom `i64`. +[inline] +pub fn (mut rng PCG32RNG) int63() i64 { + return i64(rng.u64() >> 1) +} + +// intn returns a 32-bit positive `int` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) intn(max int) int { + if max <= 0 { + eprintln('max has to be positive.') + exit(1) + } + return int(rng.u32n(u32(max))) +} + +// i64n returns a 64-bit positive `i64` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) i64n(max i64) i64 { + if max <= 0 { + eprintln('max has to be positive.') + exit(1) + } + return i64(rng.u64n(u64(max))) +} + +// int_in_range returns a 32-bit positive `int` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) int_in_range(min int, max int) int { + if max <= min { + eprintln('max must be greater than min.') + exit(1) + } + return min + rng.intn(max - min) +} + +// i64_in_range returns a 64-bit positive `i64` in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) i64_in_range(min i64, max i64) i64 { + if max <= min { + eprintln('max must be greater than min.') + exit(1) + } + return min + rng.i64n(max - min) +} + +// f32 returns a pseudorandom `f32` value in range `[0, 1)`. +[inline] +pub fn (mut rng PCG32RNG) f32() f32 { + return f32(rng.u32()) / constants.max_u32_as_f32 +} + +// f64 returns a pseudorandom `f64` value in range `[0, 1)`. +[inline] +pub fn (mut rng PCG32RNG) f64() f64 { + return f64(rng.u64()) / constants.max_u64_as_f64 +} + +// f32n returns a pseudorandom `f32` value in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) f32n(max f32) f32 { + if max <= 0 { + eprintln('max has to be positive.') + exit(1) + } + return rng.f32() * max +} + +// f64n returns a pseudorandom `f64` value in range `[0, max)`. +[inline] +pub fn (mut rng PCG32RNG) f64n(max f64) f64 { + if max <= 0 { + eprintln('max has to be positive.') + exit(1) + } + return rng.f64() * max +} + +// f32_in_range returns a pseudorandom `f32` in range `[min, max)`. +[inline] +pub fn (mut rng PCG32RNG) f32_in_range(min f32, max f32) f32 { + if max <= min { + eprintln('max must be greater than min') + exit(1) + } + return min + rng.f32n(max - min) +} + +// i64_in_range returns a pseudorandom `i64` in range `[min, max)`. +[inline] +pub fn (mut rng PCG32RNG) f64_in_range(min f64, max f64) f64 { + if max <= min { + eprintln('max must be greater than min') + exit(1) + } + return min + rng.f64n(max - min) +} diff --git a/v_windows/v/old/vlib/rand/pcg32/pcg32_test.v b/v_windows/v/old/vlib/rand/pcg32/pcg32_test.v new file mode 100644 index 0000000..17048a0 --- /dev/null +++ b/v_windows/v/old/vlib/rand/pcg32/pcg32_test.v @@ -0,0 +1,337 @@ +import math +import rand +import rand.pcg32 +import rand.seed + +const ( + range_limit = 40 + value_count = 1000 + seeds = [[u32(42), 242, 267, 14195], [u32(256), 340, 1451, 1505]] +) + +const ( + sample_size = 1000 + stats_epsilon = 0.05 + inv_sqrt_12 = 1.0 / math.sqrt(12) +) + +fn gen_randoms(seed_data []u32, bound int) []u32 { + mut randoms := []u32{len: 20} + mut rng := pcg32.PCG32RNG{} + rng.seed(seed_data) + for i in 0 .. 20 { + randoms[i] = rng.u32n(u32(bound)) + } + return randoms +} + +fn test_pcg32_reproducibility() { + seed_data := seed.time_seed_array(4) + randoms1 := gen_randoms(seed_data, 1000) + randoms2 := gen_randoms(seed_data, 1000) + assert randoms1.len == randoms2.len + len := randoms1.len + for i in 0 .. len { + r1 := randoms1[i] + r2 := randoms2[i] + assert r1 == r2 + } +} + +// TODO: use the `in` syntax and remove this function +// after generics has been completely implemented +fn found(value u64, arr []u64) bool { + for item in arr { + if value == item { + return true + } + } + return false +} + +fn test_pcg32_variability() { + // If this test fails and if it is certainly not the implementation + // at fault, try changing the seed values. Repeated values are + // improbable but not impossible. + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + mut values := []u64{cap: value_count} + for i in 0 .. value_count { + value := rng.u64() + assert !found(value, values) + assert values.len == i + values << value + } + } +} + +fn check_uniformity_u64(mut rng pcg32.PCG32RNG, range u64) { + range_f64 := f64(range) + expected_mean := range_f64 / 2.0 + mut variance := 0.0 + for _ in 0 .. sample_size { + diff := f64(rng.u64n(range)) - expected_mean + variance += diff * diff + } + variance /= sample_size - 1 + sigma := math.sqrt(variance) + expected_sigma := range_f64 * inv_sqrt_12 + error := (sigma - expected_sigma) / expected_sigma + assert math.abs(error) < stats_epsilon +} + +fn test_pcg32_uniformity_u64() { + ranges := [14019545, 80240, 130] + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for range in ranges { + check_uniformity_u64(mut rng, u64(range)) + } + } +} + +fn check_uniformity_f64(mut rng pcg32.PCG32RNG) { + expected_mean := 0.5 + mut variance := 0.0 + for _ in 0 .. sample_size { + diff := rng.f64() - expected_mean + variance += diff * diff + } + variance /= sample_size - 1 + sigma := math.sqrt(variance) + expected_sigma := inv_sqrt_12 + error := (sigma - expected_sigma) / expected_sigma + assert math.abs(error) < stats_epsilon +} + +fn test_pcg32_uniformity_f64() { + // The f64 version + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + check_uniformity_f64(mut rng) + } +} + +fn test_pcg32_u32n() { + max := u32(16384) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.u32n(max) + assert value >= 0 + assert value < max + } + } +} + +fn test_pcg32_u64n() { + max := u64(379091181005) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.u64n(max) + assert value >= 0 + assert value < max + } + } +} + +fn test_pcg32_u32_in_range() { + max := u32(484468466) + min := u32(316846) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.u32_in_range(u32(min), u32(max)) + assert value >= min + assert value < max + } + } +} + +fn test_pcg32_u64_in_range() { + max := u64(216468454685163) + min := u64(6848646868) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.u64_in_range(min, max) + assert value >= min + assert value < max + } + } +} + +fn test_pcg32_int31() { + max_u31 := int(0x7FFFFFFF) + sign_mask := int(0x80000000) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.int31() + assert value >= 0 + assert value <= max_u31 + // This statement ensures that the sign bit is zero + assert (value & sign_mask) == 0 + } + } +} + +fn test_pcg32_int63() { + max_u63 := i64(0x7FFFFFFFFFFFFFFF) + sign_mask := i64(0x8000000000000000) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.int63() + assert value >= 0 + assert value <= max_u63 + assert (value & sign_mask) == 0 + } + } +} + +fn test_pcg32_intn() { + max := 2525642 + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.intn(max) + assert value >= 0 + assert value < max + } + } +} + +fn test_pcg32_i64n() { + max := i64(3246727724653636) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.i64n(max) + assert value >= 0 + assert value < max + } + } +} + +fn test_pcg32_int_in_range() { + min := -4252 + max := 1034 + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.int_in_range(min, max) + assert value >= min + assert value < max + } + } +} + +fn test_pcg32_i64_in_range() { + min := i64(-24095) + max := i64(324058) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.i64_in_range(min, max) + assert value >= min + assert value < max + } + } +} + +fn test_pcg32_f32() { + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f32() + assert value >= 0.0 + assert value < 1.0 + } + } +} + +fn test_pcg32_f64() { + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f64() + assert value >= 0.0 + assert value < 1.0 + } + } +} + +fn test_pcg32_f32n() { + max := f32(357.0) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f32n(max) + assert value >= 0.0 + assert value < max + } + } +} + +fn test_pcg32_f64n() { + max := 1.52e6 + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f64n(max) + assert value >= 0.0 + assert value < max + } + } +} + +fn test_pcg32_f32_in_range() { + min := f32(-24.0) + max := f32(125.0) + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f32_in_range(min, max) + assert value >= min + assert value < max + } + } +} + +fn test_pcg32_f64_in_range() { + min := -548.7 + max := 5015.2 + for seed in seeds { + mut rng := pcg32.PCG32RNG{} + rng.seed(seed) + for _ in 0 .. range_limit { + value := rng.f64_in_range(min, max) + assert value >= min + assert value < max + } + } +} + +fn test_change_default_random_generator() { + rand.set_rng(pcg32.PCG32RNG{}) +} |