#include "global.h" #include "test.h" #include "random.h" TEST("RandomUniform generates lo..hi") { u32 lo, hi, i; PARAMETRIZE { lo = 0; hi = 1; } PARAMETRIZE { lo = 0; hi = 2; } PARAMETRIZE { lo = 0; hi = 3; } PARAMETRIZE { lo = 2; hi = 4; } for (i = 0; i < 1024; i++) { u32 r = RandomUniformDefault(RNG_NONE, lo, hi); EXPECT(lo <= r && r <= hi); } } static bool32 InvalidEven(u32 n) { return n % 2 == 0; } TEST("RandomUniformExcept generates lo..hi") { u32 lo, hi, i; PARAMETRIZE { lo = 0; hi = 1; } PARAMETRIZE { lo = 0; hi = 2; } PARAMETRIZE { lo = 0; hi = 3; } PARAMETRIZE { lo = 2; hi = 4; } for (i = 0; i < 1024; i++) { u32 r = RandomUniformExceptDefault(RNG_NONE, lo, hi, InvalidEven); EXPECT(lo <= r && r <= hi && r % 2 != 0); } } TEST("RandomWeighted generates 0..n-1") { u32 n, sum, i; static const u8 ws[8] = { 1, 1, 1, 1, 1, 1, 1, 1 }; PARAMETRIZE { n = 1; } PARAMETRIZE { n = 2; } PARAMETRIZE { n = 3; } PARAMETRIZE { n = 4; } ASSUME(n <= ARRAY_COUNT(ws)); for (i = 0, sum = 0; i < n; i++) sum += ws[i]; for (i = 0; i < 1024; i++) { u32 r = RandomWeightedArrayDefault(RNG_NONE, sum, n, ws); EXPECT(0 <= r && r < n); } } TEST("RandomElement generates an element") { u32 i; static const u8 es[4] = { 1, 2, 4, 8 }; for (i = 0; i < 1024; i++) { u32 e = *(const u8 *)RandomElementArrayDefault(RNG_NONE, es, sizeof(es[0]), ARRAY_COUNT(es)); EXPECT(e == 1 || e == 2 || e == 4 || e == 8); } } TEST("RandomUniform generates uniform distribution") { u32 i, error; u16 distribution[4]; memset(distribution, 0, sizeof(distribution)); for (i = 0; i < 4096; i++) { u32 r = RandomUniformDefault(RNG_NONE, 0, ARRAY_COUNT(distribution) - 1); EXPECT(0 <= r && r < ARRAY_COUNT(distribution)); distribution[r]++; } error = 0; for (i = 0; i < ARRAY_COUNT(distribution); i++) error += abs(UQ_4_12(0.25) - distribution[i]); EXPECT_LT(error, UQ_4_12(0.025)); } TEST("RandomUniformExcept generates uniform distribution") { u32 i, error; u16 distribution[4]; memset(distribution, 0, sizeof(distribution)); for (i = 0; i < 4096; i++) { u32 r = RandomUniformExceptDefault(RNG_NONE, 0, ARRAY_COUNT(distribution) - 1, InvalidEven); EXPECT(0 <= r && r < ARRAY_COUNT(distribution)); distribution[r]++; } error = 0; for (i = 0; i < ARRAY_COUNT(distribution); i++) { if (i % 2 != 0) error += abs(UQ_4_12(0.5) - distribution[i]); } EXPECT_LT(error, UQ_4_12(0.05)); } TEST("RandomWeighted generates distribution in proportion to the weights") { u32 i, sum, error; static const u8 ws[4] = { 1, 2, 2, 3 }; u16 distribution[ARRAY_COUNT(ws)]; for (i = 0, sum = 0; i < ARRAY_COUNT(ws); i++) sum += ws[i]; memset(distribution, 0, sizeof(distribution)); for (i = 0; i < 4096; i++) { u32 r = RandomWeightedArrayDefault(RNG_NONE, sum, ARRAY_COUNT(ws), ws); EXPECT(0 <= r && r < ARRAY_COUNT(ws)); distribution[r]++; } error = 0; error += abs(UQ_4_12(0.125) - distribution[0]); error += abs(UQ_4_12(0.250) - distribution[1]); error += abs(UQ_4_12(0.250) - distribution[2]); error += abs(UQ_4_12(0.375) - distribution[3]); EXPECT_LT(error, UQ_4_12(0.025)); } TEST("RandomElement generates a uniform distribution") { u32 i, error; static const u8 es[4] = { 1, 2, 4, 8 }; u16 distribution[9]; memset(distribution, 0, sizeof(distribution)); for (i = 0; i < 4096; i++) { u32 e = *(const u8 *)RandomElementArrayDefault(RNG_NONE, es, sizeof(es[0]), ARRAY_COUNT(es)); distribution[e]++; } error = 0; for (i = 0; i < ARRAY_COUNT(es); i++) error += abs(UQ_4_12(0.25) - distribution[es[i]]); EXPECT_LT(error, UQ_4_12(0.025)); }