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Quasi-random sequences are well suited when the problem is to uniformly fill a space by simulating random filling. The implementation is based on a new additive recursive R-sequence and an article from Habr. R-sequence is easy to compute, and when computed in integers gives determinism and good performance.
I used this sequence to generate starting positions, stores and other activity points in the БольКрафт map generator for Warcraft 3. This way the activity points were placed roughly evenly across the map while making their positions look random.
To install, simply copy the contents of the src folder into the project. The src folder contains:
src\QuasiRandom.cs- basic, no environment dependencies;src\QuasiRandom.unity.cs- extension of the basic one to support vectors from Unity;src\QuasiRandom.unity.mathematics.cs- extension of basic to support vector types from Unity.Mathematics;
QuasiRandom is implemented as a 4 byte structure, can generate sequences with uniform filling for 1D, 2D, 3D and 4D space.
new QuasiRandom()- instance with seed = 0;new QuasiRandom(seed)- instance with seed = seed;QuasiRandom.AutoSeed()- instance with auto seed;
NextBool
[false - true]
bool NextBool();
void NextBool2(out bool x, out bool y);
void NextBool3(out bool x, out bool y, out bool z);
void NextBool4(out bool x, out bool y, out bool z, out bool w);
Bool2 NextBool2();
Bool3 NextBool3();
Bool4 NextBool4();NextInt
[int.MinValue <= x <= int.MaxValue]
int NextInt();
void NextInt2(out int x, out int y);
void NextInt3(out int x, out int y, out int z);
void NextInt4(out int x, out int y, out int z, out int w);
Int2 NextInt2();
Int3 NextInt3();
Int4 NextInt4();[0 <= x < max]
int NextInt(int max);
void NextInt2(int max, out int x, out int y);
void NextInt3(int max, out int x, out int y, out int z);
void NextInt4(int max, out int x, out int y, out int z, out int w);
Int2 NextInt2(int max);
Int3 NextInt3(int max);
Int4 NextInt4(int max);[min <= x < max]
int NextInt(int min, int max);
void NextInt2(int min, int max, out int x, out int y);
void NextInt3(int min, int max, out int x, out int y, out int z);
void NextInt4(int min, int max, out int x, out int y, out int z, out int w);
Int2 NextInt2(int min, int max);
Int3 NextInt3(int min, int max);
Int4 NextInt4(int min, int max);NextUInt
[uint.MinValue <= x <= uint.MaxValue]
uint NextUInt();
void NextUInt2(out uint x, out uint y);
void NextUInt3(out uint x, out uint y, out uint z);
void NextUInt4(out uint x, out uint y, out uint z, out uint w);
UInt2 NextUInt2();
UInt3 NextUInt3();
UInt4 NextUInt4();[0 <= x < max]
uint NextUInt(uint max);
void NextUInt2(uint max, out uint x, out uint y);
void NextUInt3(uint max, out uint x, out uint y, out uint z);
void NextUInt4(uint max, out uint x, out uint y, out uint z, out uint w);
UInt2 NextUInt2(uint max);
UInt3 NextUInt3(uint max);
UInt4 NextUInt4(uint max);[min <= x < max]
uint NextUInt(uint min, uint max);
void NextUInt2(uint min, uint max, out uint x, out uint y);
void NextUInt3(uint min, uint max, out uint x, out uint y, out uint z);
void NextUInt4(uint min, uint max, out uint x, out uint y, out uint z, out uint w);
UInt2 NextUInt2(uint min, uint max);
UInt3 NextUInt3(uint min, uint max);
UInt4 NextUInt4(uint min, uint max);NextLong
[long.MinValue <= x <= long.MaxValue]
long NextLong();
void NextLong2(out long x, out long y);
void NextLong3(out long x, out long y, out long z);
void NextLong4(out long x, out long y, out long z, out long w);
Long2 NextLong2();
Long3 NextLong3();
Long4 NextLong4();[0 <= x < max]
long NextLong(long max);
void NextLong2(long max, out long x, out long y);
void NextLong3(long max, out long x, out long y, out long z);
void NextLong4(long max, out long x, out long y, out long z, out long w);
Long2 NextLong2(long max);
Long3 NextLong3(long max);
Long4 NextLong4(long max);[min <= x < max]
long NextLong(long min, long max);
void NextLong2(long min, long max, out long x, out long y);
void NextLong3(long min, long max, out long x, out long y, out long z);
void NextLong4(long min, long max, out long x, out long y, out long z, out long w);
Long2 NextLong2(long min, long max);
Long3 NextLong3(long min, long max);
Long4 NextLong4(long min, long max);NextULong
[ulong.MinValue <= x <= ulong.MaxValue]
ulong NextULong();
void NextULong2(out ulong x, out ulong y);
void NextULong3(out ulong x, out ulong y, out ulong z);
void NextULong4(out ulong x, out ulong y, out ulong z, out ulong w);
ULong2 NextULong2();
ULong3 NextULong3();
ULong4 NextULong4();[0 <= x < max]
ulong NextULong(ulong max);
void NextULong2(ulong max, out ulong x, out ulong y);
void NextULong3(ulong max, out ulong x, out ulong y, out ulong z);
void NextULong4(ulong max, out ulong x, out ulong y, out ulong z, out ulong w);
ULong2 NextULong2(ulong max);
ULong3 NextULong3(ulong max);
ULong4 NextULong4(ulong max);[min <= x < max]
ulong NextULong(ulong min, ulong max);
void NextULong2(ulong min, ulong max, out ulong x, out ulong y);
void NextULong3(ulong min, ulong max, out ulong x, out ulong y, out ulong z);
void NextULong4(ulong min, ulong max, out ulong x, out ulong y, out ulong z, out ulong w);
ULong2 NextULong2(ulong min, ulong max);
ULong3 NextULong3(ulong min, ulong max);
ULong4 NextULong4(ulong min, ulong max);NextFloat
[0.0f <= x < 1.0f]
float NextFloat();
void NextFloat2(out float x, out float y);
void NextFloat3(out float x, out float y, out float z);
void NextFloat4(out float x, out float y, out float z, out float w);
Float2 NextFloat2();
Float3 NextFloat3();
Float4 NextFloat4();NextDouble
[0.0d <= x < 1.0d]
double NextDouble();
void NextDouble2(out double x, out double y);
void NextDouble3(out double x, out double y, out double z);
void NextDouble4(out double x, out double y, out double z, out double w);
Double2 NextDouble2();
Double3 NextDouble3();
Double4 NextDouble4();GetState()- Receive state;SetState(state)- Change state;
The methods Equals, GethashCode, ToString, and comparison operators have been overridden.
Compares System.Random and QuasiRandom using the example of generating points in two-dimensional space:
