385 lines
11 KiB
C++
385 lines
11 KiB
C++
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// Noise.h
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// Declares the cNoise, cCubicNoise and cPerlinNoise classes for generating noise
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#pragma once
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#include <cmath>
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// Some settings
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#define NOISE_DATATYPE float
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#ifdef _MSC_VER
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#define INLINE __forceinline
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#else
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#define INLINE inline
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#endif
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class cNoise
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{
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public:
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cNoise(int a_Seed);
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cNoise(const cNoise & a_Noise);
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// The following functions, if not marked INLINE, are about 20 % slower
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INLINE NOISE_DATATYPE IntNoise1D(int a_X) const;
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INLINE NOISE_DATATYPE IntNoise2D(int a_X, int a_Y) const;
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INLINE NOISE_DATATYPE IntNoise3D(int a_X, int a_Y, int a_Z) const;
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// Return a float number in the specified range:
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INLINE NOISE_DATATYPE IntNoise2DInRange(int a_X, int a_Y, float a_Min, float a_Max) const
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{
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return a_Min + std::abs(IntNoise2D(a_X, a_Y)) * (a_Max - a_Min);
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}
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// Note: These functions have a mod8-irregular chance - each of the mod8 remainders has different chance of occurrence. Divide by 8 to rectify.
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INLINE int IntNoise1DInt(int a_X) const;
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INLINE int IntNoise2DInt(int a_X, int a_Y) const;
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INLINE int IntNoise3DInt(int a_X, int a_Y, int a_Z) const;
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NOISE_DATATYPE LinearNoise1D(NOISE_DATATYPE a_X) const;
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NOISE_DATATYPE CosineNoise1D(NOISE_DATATYPE a_X) const;
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NOISE_DATATYPE CubicNoise1D (NOISE_DATATYPE a_X) const;
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NOISE_DATATYPE SmoothNoise1D(int a_X) const;
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NOISE_DATATYPE CubicNoise2D (NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y) const;
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NOISE_DATATYPE CubicNoise3D (NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y, NOISE_DATATYPE a_Z) const;
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void SetSeed(int a_Seed) { m_Seed = a_Seed; }
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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);
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INLINE static NOISE_DATATYPE CosineInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct);
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INLINE static NOISE_DATATYPE LinearInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct);
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private:
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int m_Seed;
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} ;
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class cCubicNoise
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{
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public:
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static const int MAX_SIZE = 512; ///< Maximum size of each dimension of the query arrays.
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cCubicNoise(int a_Seed);
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void Generate1D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into
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int a_SizeX, ///< Count of the array
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX ///< Noise-space coords of the array
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) const;
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void Generate2D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y]
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int a_SizeX, int a_SizeY, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY ///< Noise-space coords of the array in the Y direction
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) const;
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void Generate3D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y + a_SizeX * a_SizeY * z]
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int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
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NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ ///< Noise-space coords of the array in the Z direction
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) const;
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protected:
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typedef NOISE_DATATYPE Workspace1D[4];
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typedef NOISE_DATATYPE Workspace2D[4][4];
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cNoise m_Noise; // Used for integral rnd values
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#ifdef _DEBUG
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// Statistics on the noise-space coords:
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static int m_NumSingleX;
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static int m_NumSingleXY;
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static int m_NumSingleY;
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static int m_NumCalls;
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#endif // _DEBUG
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/// Calculates the integral and fractional parts along one axis.
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void CalcFloorFrac(
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int a_Size,
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NOISE_DATATYPE a_Start, NOISE_DATATYPE a_End,
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int * a_Floor, NOISE_DATATYPE * a_Frac,
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int * a_Same, int & a_NumSame
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) const;
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void UpdateWorkRnds2DX(
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Workspace2D & a_WorkRnds,
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Workspace1D & a_Interps,
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int a_LastFloorX, int a_NewFloorX,
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int a_FloorY,
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NOISE_DATATYPE a_FractionY
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) const;
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} ;
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class cPerlinNoise
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{
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public:
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cPerlinNoise(void);
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cPerlinNoise(int a_Seed);
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void SetSeed(int a_Seed);
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void AddOctave(NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude);
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void Generate1D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into
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int a_SizeX, ///< Count of the array
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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void Generate2D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y]
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int a_SizeX, int a_SizeY, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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void Generate3D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y + a_SizeX * a_SizeY * z]
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int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
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NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ, ///< Noise-space coords of the array in the Z direction
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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protected:
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class cOctave
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{
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public:
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cCubicNoise m_Noise;
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NOISE_DATATYPE m_Frequency; // Coord multiplier
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NOISE_DATATYPE m_Amplitude; // Value multiplier
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cOctave(int a_Seed, NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude) :
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m_Noise(a_Seed),
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m_Frequency(a_Frequency),
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m_Amplitude(a_Amplitude)
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{
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}
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} ;
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typedef std::vector<cOctave> cOctaves;
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int m_Seed;
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cOctaves m_Octaves;
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} ;
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class cRidgedMultiNoise
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{
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public:
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cRidgedMultiNoise(void);
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cRidgedMultiNoise(int a_Seed);
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void SetSeed(int a_Seed);
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void AddOctave(NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude);
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void Generate1D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into
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int a_SizeX, ///< Count of the array
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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void Generate2D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y]
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int a_SizeX, int a_SizeY, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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void Generate3D(
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NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y + a_SizeX * a_SizeY * z]
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int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction
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NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, ///< Noise-space coords of the array in the X direction
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NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, ///< Noise-space coords of the array in the Y direction
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NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ, ///< Noise-space coords of the array in the Z direction
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NOISE_DATATYPE * a_Workspace = NULL ///< Workspace that this function can use and trash
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) const;
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protected:
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class cOctave
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{
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public:
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cCubicNoise m_Noise;
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NOISE_DATATYPE m_Frequency; // Coord multiplier
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NOISE_DATATYPE m_Amplitude; // Value multiplier
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cOctave(int a_Seed, NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude) :
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m_Noise(a_Seed),
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m_Frequency(a_Frequency),
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m_Amplitude(a_Amplitude)
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{
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}
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} ;
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typedef std::vector<cOctave> cOctaves;
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int m_Seed;
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cOctaves m_Octaves;
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} ;
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////////////////////////////////////////////////////////////////////////////////
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// Inline function definitions:
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// These need to be in the header, otherwise linker error occur in MSVC
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NOISE_DATATYPE cNoise::IntNoise1D(int a_X) const
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{
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int x = ((a_X * m_Seed) << 13) ^ a_X;
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return (1 - (NOISE_DATATYPE)((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824);
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// returns a float number in the range of [-1, 1]
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}
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NOISE_DATATYPE cNoise::IntNoise2D(int a_X, int a_Y) const
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{
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int n = a_X + a_Y * 57 + m_Seed * 57 * 57;
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n = (n << 13) ^ n;
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return (1 - (NOISE_DATATYPE)((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824);
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// returns a float number in the range of [-1, 1]
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}
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NOISE_DATATYPE cNoise::IntNoise3D(int a_X, int a_Y, int a_Z) const
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{
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int n = a_X + a_Y * 57 + a_Z * 57 * 57 + m_Seed * 57 * 57 * 57;
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n = (n << 13) ^ n;
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return ((NOISE_DATATYPE)1 - (NOISE_DATATYPE)((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824.0f);
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// returns a float number in the range of [-1, 1]
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}
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int cNoise::IntNoise1DInt(int a_X) const
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{
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int x = ((a_X * m_Seed) << 13) ^ a_X;
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return ((x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff);
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}
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int cNoise::IntNoise2DInt(int a_X, int a_Y) const
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{
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int n = a_X + a_Y * 57 + m_Seed * 57 * 57;
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n = (n << 13) ^ n;
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return ((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff);
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}
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int cNoise::IntNoise3DInt(int a_X, int a_Y, int a_Z) const
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{
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int n = a_X + a_Y * 57 + a_Z * 57 * 57 + m_Seed * 57 * 57 * 57;
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n = (n << 13) ^ n;
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return ((n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff);
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}
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NOISE_DATATYPE cNoise::CubicInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_C, NOISE_DATATYPE a_D, NOISE_DATATYPE a_Pct)
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{
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NOISE_DATATYPE P = (a_D - a_C) - (a_A - a_B);
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NOISE_DATATYPE Q = (a_A - a_B) - P;
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NOISE_DATATYPE R = a_C - a_A;
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NOISE_DATATYPE S = a_B;
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return ((P * a_Pct + Q) * a_Pct + R) * a_Pct + S;
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}
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NOISE_DATATYPE cNoise::CosineInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct)
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{
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const NOISE_DATATYPE ft = a_Pct * (NOISE_DATATYPE)3.1415927;
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const NOISE_DATATYPE f = (NOISE_DATATYPE)((NOISE_DATATYPE)(1 - cos(ft)) * (NOISE_DATATYPE)0.5);
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return a_A * (1 - f) + a_B * f;
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}
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NOISE_DATATYPE cNoise::LinearInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, NOISE_DATATYPE a_Pct)
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{
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return a_A * (1 - a_Pct) + a_B * a_Pct;
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}
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////////////////////////////////////////////////////////////////////////////////
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// Global functions:
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extern void Debug2DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, const AString & a_FileNameBase);
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extern void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int a_SizeZ, const AString & a_FileNameBase);
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