// Noise.h
// Declares the cNoise, cCubicNoise and cPerlinNoise classes for generating noise
#pragma once
// Some settings
#define NOISE_DATATYPE float
#ifdef _MSC_VER
#define INLINE __forceinline
#else
#define INLINE inline
#endif
class cNoise
{
public:
cNoise(unsigned int a_Seed);
// The following functions, if not marked INLINE, are about 20 % slower
INLINE NOISE_DATATYPE IntNoise1D(int a_X) const;
INLINE NOISE_DATATYPE IntNoise2D(int a_X, int a_Y) const;
INLINE NOISE_DATATYPE IntNoise3D(int a_X, int a_Y, int a_Z) const;
// Note: These functions have a mod8-irregular chance - each of the mod8 remainders has different chance of occurrence. Divide by 8 to rectify.
INLINE int IntNoise1DInt(int a_X) const;
INLINE int IntNoise2DInt(int a_X, int a_Y) const;
INLINE int IntNoise3DInt(int a_X, int a_Y, int a_Z) const;
NOISE_DATATYPE LinearNoise1D(NOISE_DATATYPE a_X) const;
NOISE_DATATYPE CosineNoise1D(NOISE_DATATYPE a_X) const;
NOISE_DATATYPE CubicNoise1D (NOISE_DATATYPE a_X) const;
NOISE_DATATYPE SmoothNoise1D(int a_X) const;
NOISE_DATATYPE CubicNoise2D (NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y) const;
NOISE_DATATYPE CubicNoise3D (NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y, NOISE_DATATYPE a_Z) const;
void SetSeed(unsigned int a_Seed) { m_Seed = a_Seed; }
INLINE static NOISE_DATATYPE CubicInterpolate (NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_C, NOISE_DATATYPE a_D, NOISE_DATATYPE a_Pct);
INLINE static NOISE_DATATYPE CosineInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct);
INLINE static NOISE_DATATYPE LinearInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct);
private:
unsigned int m_Seed;
} ;
/// Linearly interpolates values in the array between the anchor points
extern void IntArrayLinearInterpolate2D(
int * a_Array,
int a_SizeX, int a_SizeY, // Dimensions of the array
int a_AnchorStepX, int a_AnchorStepY // Distances between the anchor points in each direction
);
/// Linearly interpolates values in the array between the anchor points; universal data type
template<typename TYPE> void ArrayLinearInterpolate2D(
TYPE * a_Array,
int a_SizeX, int a_SizeY, // Dimensions of the array
int a_AnchorStepX, int a_AnchorStepY // Distances between the anchor points in each direction
)
{
// First interpolate columns where the anchor points are:
int LastYCell = a_SizeY - a_AnchorStepY;
for (int y = 0; y < LastYCell; y += a_AnchorStepY)
{
int Idx = a_SizeX * y;
for (int x = 0; x < a_SizeX; x += a_AnchorStepX)
{
TYPE StartValue = a_Array[Idx];
TYPE EndValue = a_Array[Idx + a_SizeX * a_AnchorStepY];
TYPE Diff = EndValue - StartValue;
for (int CellY = 1; CellY < a_AnchorStepY; CellY++)
{
a_Array[Idx + a_SizeX * CellY] = StartValue + Diff * CellY / a_AnchorStepY;
} // for CellY
Idx += a_AnchorStepX;
} // for x
} // for y
// Now interpolate in rows, each row has values in the anchor columns
int LastXCell = a_SizeX - a_AnchorStepX;
for (int y = 0; y < a_SizeY; y++)
{
int Idx = a_SizeX * y;
for (int x = 0; x < LastXCell; x += a_AnchorStepX)
{
TYPE StartValue = a_Array[Idx];
TYPE EndValue = a_Array[Idx + a_AnchorStepX];
TYPE Diff = EndValue - StartValue;
for (int CellX = 1; CellX < a_AnchorStepX; CellX++)
{
a_Array[Idx + CellX] = StartValue + CellX * Diff / a_AnchorStepX;
} // for CellY
Idx += a_AnchorStepX;
}
}
}
#if NOISE_USE_INLINE
#include "Noise.inc"
#endif
class cCubicNoise
{
public:
static const int MAX_SIZE = 512; ///< Maximum size of each dimension of the query arrays.
cCubicNoise(int a_Seed);
void Generate1D(
NOISE_DATATYPE * a_Array, ///< Array to generate into
int a_SizeX, ///< Count of the array
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
void Generate2D(
NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y]
int a_SizeX, int a_SizeY, ///< Count of the array, in each direction
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
void Generate3D(
NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y + a_SizeX * a_SizeY * z]
int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ, ///< Noise-space coords of the array in the Z direction
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
protected:
typedef NOISE_DATATYPE Workspace1D[4];
typedef NOISE_DATATYPE Workspace2D[4][4];
cNoise m_Noise; // Used for integral rnd values
/// Calculates the integral and fractional parts along one axis.
void CalcFloorFrac(
int a_Size,
NOISE_DATATYPE a_Start, NOISE_DATATYPE a_End,
int * a_Floor, NOISE_DATATYPE * a_Frac,
int * a_Same, int & a_NumSame
);
void UpdateWorkRnds2DX(
Workspace2D & a_WorkRnds,
Workspace1D & a_Interps,
int a_LastFloorX, int a_NewFloorX,
int a_FloorY,
NOISE_DATATYPE a_FractionY
);
} ;
class cPerlinNoise
{
public:
void Generate1D(
NOISE_DATATYPE * a_Array, ///< Array to generate into
int a_SizeX, ///< Count of the array
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
void Generate2D(
NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y]
int a_SizeX, int a_SizeY, ///< Count of the array, in each direction
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
void Generate3D(
NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y + a_SizeX * a_SizeY * z]
int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction
NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ, ///< Noise-space coords of the array in the Z direction
NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
);
} ;
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Inline function definitions:
// These need to be in the header, otherwise linker error occur in MSVC
NOISE_DATATYPE cNoise::IntNoise1D(int a_X) const
{
int x = ((a_X * m_Seed) << 13) ^ a_X;
return (1 - (NOISE_DATATYPE)((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824);
// returns a float number in the range of [-1, 1]
}
NOISE_DATATYPE cNoise::IntNoise2D(int a_X, int a_Y) const
{
int n = a_X + a_Y * 57 + m_Seed * 57 * 57;
n = (n << 13) ^ n;
return (1 - (NOISE_DATATYPE)((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824);
// returns a float number in the range of [-1, 1]
}
NOISE_DATATYPE cNoise::IntNoise3D(int a_X, int a_Y, int a_Z) const
{
int n = a_X + a_Y * 57 + a_Z * 57 * 57 + m_Seed * 57 * 57 * 57;
n = (n << 13) ^ n;
return ((NOISE_DATATYPE)1 - (NOISE_DATATYPE)((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824.0f);
// returns a float number in the range of [-1, 1]
}
int cNoise::IntNoise1DInt(int a_X) const
{
int x = ((a_X * m_Seed) << 13) ^ a_X;
return ((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff);
}
int cNoise::IntNoise2DInt(int a_X, int a_Y) const
{
int n = a_X + a_Y * 57 + m_Seed * 57 * 57;
n = (n << 13) ^ n;
return ((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff);
}
int cNoise::IntNoise3DInt(int a_X, int a_Y, int a_Z) const
{
int n = a_X + a_Y * 57 + a_Z * 57 * 57 + m_Seed * 57 * 57 * 57;
n = (n << 13) ^ n;
return ((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff);
}
NOISE_DATATYPE cNoise::CubicInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_C, NOISE_DATATYPE a_D, NOISE_DATATYPE a_Pct)
{
NOISE_DATATYPE P = (a_D - a_C) - (a_A - a_B);
NOISE_DATATYPE Q = (a_A - a_B) - P;
NOISE_DATATYPE R = a_C - a_A;
NOISE_DATATYPE S = a_B;
return ((P * a_Pct + Q) * a_Pct + R) * a_Pct + S;
}
NOISE_DATATYPE cNoise::CosineInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct)
{
const NOISE_DATATYPE ft = a_Pct * (NOISE_DATATYPE)3.1415927;
const NOISE_DATATYPE f = (1 - cos(ft)) * (NOISE_DATATYPE)0.5;
return a_A * (1 - f) + a_B * f;
}
NOISE_DATATYPE cNoise::LinearInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct)
{
return a_A * (1 - a_Pct) + a_B * a_Pct;
}
