Initial project import

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// Copyright (c) 2019-2024 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 sys
import math.bits
import rand.buffer
import rand.seed
// Implementation note:
// ====================
// C.rand returns a pseudorandom integer from 0 (inclusive) to C.RAND_MAX (exclusive)
// C.rand() is okay to use within its defined range.
// (See: https://web.archive.org/web/20180801210127/http://eternallyconfuzzled.com/arts/jsw_art_rand.aspx)
// The problem is, this value varies with the libc implementation. On windows,
// for example, RAND_MAX is usually a measly 32767, whereas on (newer) linux it's generally
// 2147483647. The repetition period also varies wildly. In order to provide more entropy
// without altering the underlying algorithm too much, this implementation simply
// requests for more random bits until the necessary width for the integers is achieved.
pub const seed_len = 1
const rand_limit = u64(C.RAND_MAX)
const rand_bitsize = bits.len_64(rand_limit)
const rand_bytesize = rand_bitsize / 8
const u16_iter_count = calculate_iterations_for(16)
const u32_iter_count = calculate_iterations_for(32)
const u64_iter_count = calculate_iterations_for(64)
fn calculate_iterations_for(bits_ int) int {
base := bits_ / rand_bitsize
extra := if bits_ % rand_bitsize == 0 { 0 } else { 1 }
return base + extra
}
// SysRNG is the PRNG provided by default in the libc implementiation that V uses.
pub struct SysRNG {
buffer.PRNGBuffer
mut:
seed u32 = seed.time_seed_32()
}
// r.seed() sets the seed of the accepting SysRNG to the given data.
pub fn (mut r SysRNG) seed(seed_data []u32) {
if seed_data.len != 1 {
eprintln('SysRNG needs one 32-bit unsigned integer as the seed.')
exit(1)
}
r.seed = seed_data[0]
C.srand(r.seed)
}
// r.default_rand() exposes the default behavior of the system's RNG
// (equivalent to calling C.rand()). Recommended for testing/comparison
// b/w V and other languages using libc and not for regular use.
// This is also a one-off feature of SysRNG, similar to the global seed
// situation. Other generators will not have this.
@[inline]
pub fn (r SysRNG) default_rand() int {
return C.rand()
}
// byte returns a uniformly distributed pseudorandom 8-bit unsigned positive `byte`.
@[inline]
pub fn (mut r SysRNG) u8() u8 {
if r.bytes_left >= 1 {
r.bytes_left -= 1
value := u8(r.buffer)
r.buffer >>= 8
return value
}
r.buffer = u64(r.default_rand())
r.bytes_left = rand_bytesize - 1
value := u8(r.buffer)
r.buffer >>= 8
return value
}
// u16 returns a uniformly distributed pseudorandom 16-bit unsigned positive `u16`.
@[inline]
pub fn (mut r SysRNG) u16() u16 {
if r.bytes_left >= 2 {
r.bytes_left -= 2
value := u16(r.buffer)
r.buffer >>= 16
return value
}
mut result := u16(C.rand())
for i in 1 .. u16_iter_count {
result = result ^ (u16(C.rand()) << (rand_bitsize * i))
}
return result
}
// u32 returns a uniformly distributed pseudorandom 32-bit unsigned positive `u32`.
@[inline]
pub fn (r SysRNG) u32() u32 {
mut result := u32(C.rand())
for i in 1 .. u32_iter_count {
result = result ^ (u32(C.rand()) << (rand_bitsize * i))
}
return result
}
// u64 returns a uniformly distributed pseudorandom 64-bit unsigned positive `u64`.
@[inline]
pub fn (r SysRNG) u64() u64 {
mut result := u64(C.rand())
for i in 1 .. u64_iter_count {
result = result ^ (u64(C.rand()) << (rand_bitsize * i))
}
return result
}
// block_size returns the number of bits that the RNG can produce in a single iteration.
@[inline]
pub fn (r SysRNG) block_size() int {
return rand_bitsize
}
// free should be called when the generator is no longer needed.
@[unsafe]
pub fn (mut rng SysRNG) free() {
}
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// Copyright (c) 2019-2024 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 sys
// Until there's a portable, JS has a seeded way to produce random numbers
// and not just Math.random(), use any of the existing implementations
// as the System's RNG
type SysRNG = WyRandRNG
// In the JS version, we simply return the same int as is normally generated.
@[inline]
pub fn (r SysRNG) default_rand() int {
return r.int()
}
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import math
import rand
import rand.sys
const range_limit = 40
const value_count = 1000
const seeds = [u32(42), 256]
const sample_size = 1000
const stats_epsilon = 0.05
const inv_sqrt_12 = 1.0 / math.sqrt(12)
fn get_n_randoms(n int, mut r rand.PRNG) []int {
mut ints := []int{cap: n}
for _ in 0 .. n {
ints << r.int()
}
return ints
}
fn test_sys_rng_reproducibility() {
// Note that C.srand() sets the seed globally.
// So the order of seeding matters. It is recommended
// to obtain all necessary data first, then set the
// seed for another batch of data.
for seed in seeds {
seed_data := [seed]
mut r1 := &rand.PRNG(&sys.SysRNG{})
mut r2 := &rand.PRNG(&sys.SysRNG{})
r1.seed(seed_data)
ints1 := get_n_randoms(value_count, mut r1)
r2.seed(seed_data)
ints2 := get_n_randoms(value_count, mut r2)
assert ints1 == ints2
}
}
fn test_sys_rng_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 {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
mut values := []u64{cap: value_count}
for i in 0 .. value_count {
value := rng.u64()
assert value !in values
assert values.len == i
values << value
}
}
}
fn check_uniformity_u64(mut rng rand.PRNG, 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) or { panic("Couldn't obtain u64") }) - 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_sys_rng_uniformity_u64() {
$if windows {
// On Windows, C.rand() has RAND_MAX = 32767 (15 bits). The XOR-based
// extension to u64 is inherently biased, so this uniformity check
// cannot pass with the system RNG.
return
}
// This assumes that C.rand() produces uniform results to begin with.
// If the failure persists, report an issue on GitHub
ranges := [14019545, 80240, 130]
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for range in ranges {
check_uniformity_u64(mut rng, u64(range))
}
}
}
fn check_uniformity_f64(mut rng rand.PRNG) {
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_sys_rng_uniformity_f64() {
$if windows {
// See test_sys_rng_uniformity_u64 above: Windows C.rand() has a
// 15-bit range, so the derived f64 distribution is not uniform enough
// to pass the statistical check.
return
}
// The f64 version
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
check_uniformity_f64(mut rng)
}
}
fn test_sys_rng_u32n() {
max := u32(16384)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.u32n(max) or { panic("Couldn't obtain u32") }
assert value >= 0
assert value < max
}
}
}
fn test_sys_rng_u64n() {
max := u64(379091181005)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.u64n(max) or { panic("Couldn't obtain u64") }
assert value >= 0
assert value < max
}
}
}
fn test_sys_rng_u32_in_range() {
max := u32(484468466)
min := u32(316846)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.u32_in_range(min, max) or { panic("Couldn't obtain u32 in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_u64_in_range() {
max := u64(216468454685163)
min := u64(6848646868)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.u64_in_range(min, max) or { panic("Couldn't obtain u64 in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_intn() {
max := 2525642
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.intn(max) or { panic("Couldn't obtain int") }
assert value >= 0
assert value < max
}
}
}
fn test_sys_rng_i32n() {
max := i32(2525642)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.i32n(max) or { panic("Couldn't obtain i32") }
assert value >= 0
assert value < max
}
}
}
fn test_sys_rng_i64n() {
max := i64(3246727724653636)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.i64n(max) or { panic("Couldn't obtain i64") }
assert value >= 0
assert value < max
}
}
}
fn test_sys_rng_int_in_range() {
min := -4252
max := 23054962
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.int_in_range(min, max) or { panic("Couldn't obtain int in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_i32_in_range() {
min := i32(-4252)
max := i32(23054962)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.i32_in_range(min, max) or { panic("Couldn't obtain i32 in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_i64_in_range() {
min := i64(-24095)
max := i64(324058)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.i64_in_range(min, max) or { panic("Couldn't obtain i64 in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_int31() {
max_u31 := int(0x7FFFFFFF)
sign_mask := int(u32(0x80000000))
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
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_sys_rng_int63() {
max_u63 := i64(0x7FFFFFFFFFFFFFFF)
sign_mask := i64(u64(0x8000000000000000))
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.int63()
assert value >= 0
assert value <= max_u63
assert (value & sign_mask) == 0
}
}
}
fn test_sys_rng_f32() {
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f32()
assert value >= 0.0
assert value < 1.0
}
}
}
fn test_sys_rng_f64() {
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f64()
assert value >= 0.0
assert value < 1.0
}
}
}
fn test_sys_rng_f32n() {
max := f32(357.0)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f32n(max) or { panic("Couldn't obtain f32") }
assert value >= 0.0
assert value < max
}
}
}
fn test_sys_rng_f64n() {
max := 1.52e6
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f64n(max) or { panic("Couldn't obtain f64") }
assert value >= 0.0
assert value < max
}
}
}
fn test_sys_rng_f32_in_range() {
min := f32(-24.0)
max := f32(125.0)
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f32_in_range(min, max) or { panic("Couldn't obtain f32 in range") }
assert value >= min
assert value < max
}
}
}
fn test_sys_rng_f64_in_range() {
min := -548.7
max := 5015.2
for seed in seeds {
seed_data := [seed]
mut rng := &rand.PRNG(&sys.SysRNG{})
rng.seed(seed_data)
for _ in 0 .. range_limit {
value := rng.f64_in_range(min, max) or { panic("Couldn't obtain f64 in range") }
assert value >= min
assert value < max
}
}
}