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-rw-r--r--v_windows/v/vlib/rand/mt19937/mt19937_test.v341
1 files changed, 341 insertions, 0 deletions
diff --git a/v_windows/v/vlib/rand/mt19937/mt19937_test.v b/v_windows/v/vlib/rand/mt19937/mt19937_test.v
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index 0000000..f2a41de
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+++ b/v_windows/v/vlib/rand/mt19937/mt19937_test.v
@@ -0,0 +1,341 @@
+import math
+import rand.mt19937
+import rand.seed
+
+const (
+ range_limit = 40
+ value_count = 1000
+ seeds = [[u32(0xcafebabe), u32(0xdeadbeef)], [u32(0xc0de), u32(0xfeed)]]
+)
+
+const (
+ sample_size = 1000
+ stats_epsilon = 0.05
+ inv_sqrt_12 = 1.0 / math.sqrt(12)
+)
+
+fn mt19937_basic_test() {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed([u32(0xdeadbeef)])
+ target := [u32(956529277), 3842322136, 3319553134, 1843186657, 2704993644, 595827513, 938518626,
+ 1676224337, 3221315650, 1819026461]
+ for i := 0; i < 10; i++ {
+ assert target[i] == rng.u32()
+ }
+}
+
+fn gen_randoms(seed_data []u32, bound int) []u64 {
+ bound_u64 := u64(bound)
+ mut randoms := []u64{len: (20)}
+ mut rnd := mt19937.MT19937RNG{}
+ rnd.seed(seed_data)
+ for i in 0 .. 20 {
+ randoms[i] = rnd.u64n(bound_u64)
+ }
+ return randoms
+}
+
+fn test_mt19937_reproducibility() {
+ seed_data := seed.time_seed_array(2)
+ 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 {
+ assert randoms1[i] == randoms2[i]
+ }
+}
+
+// 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_mt19937_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 := mt19937.MT19937RNG{}
+ 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 mt19937.MT19937RNG, 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_mt19937_uniformity_u64() {
+ ranges := [14019545, 80240, 130]
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for range in ranges {
+ check_uniformity_u64(mut rng, u64(range))
+ }
+ }
+}
+
+fn check_uniformity_f64(mut rng mt19937.MT19937RNG) {
+ 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_mt19937_uniformity_f64() {
+ // The f64 version
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ check_uniformity_f64(mut rng)
+ }
+}
+
+fn test_mt19937_u32n() {
+ max := u32(16384)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.u32n(max)
+ assert value >= 0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_u64n() {
+ max := u64(379091181005)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.u64n(max)
+ assert value >= 0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_u32_in_range() {
+ max := u32(484468466)
+ min := u32(316846)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.u32_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_u64_in_range() {
+ max := u64(216468454685163)
+ min := u64(6848646868)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.u64_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_int31() {
+ max_u31 := int(0x7FFFFFFF)
+ sign_mask := int(0x80000000)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ 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_mt19937_int63() {
+ max_u63 := i64(0x7FFFFFFFFFFFFFFF)
+ sign_mask := i64(0x8000000000000000)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ 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_mt19937_intn() {
+ max := 2525642
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.intn(max)
+ assert value >= 0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_i64n() {
+ max := i64(3246727724653636)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.i64n(max)
+ assert value >= 0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_int_in_range() {
+ min := -4252
+ max := 1034
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.int_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_i64_in_range() {
+ min := i64(-24095)
+ max := i64(324058)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.i64_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_f32() {
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f32()
+ assert value >= 0.0
+ assert value < 1.0
+ }
+ }
+}
+
+fn test_mt19937_f64() {
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f64()
+ assert value >= 0.0
+ assert value < 1.0
+ }
+ }
+}
+
+fn test_mt19937_f32n() {
+ max := f32(357.0)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f32n(max)
+ assert value >= 0.0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_f64n() {
+ max := 1.52e6
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f64n(max)
+ assert value >= 0.0
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_f32_in_range() {
+ min := f32(-24.0)
+ max := f32(125.0)
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f32_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}
+
+fn test_mt19937_f64_in_range() {
+ min := -548.7
+ max := 5015.2
+ for seed in seeds {
+ mut rng := mt19937.MT19937RNG{}
+ rng.seed(seed)
+ for _ in 0 .. range_limit {
+ value := rng.f64_in_range(min, max)
+ assert value >= min
+ assert value < max
+ }
+ }
+}