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+
+// 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);
+ cNoise(const cNoise & a_Noise);
+
+ // 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;
+} ;
+
+
+
+
+
+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
+ ) const;
+
+
+ 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
+ ) const;
+
+
+ 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
+ ) const;
+
+protected:
+ typedef NOISE_DATATYPE Workspace1D[4];
+ typedef NOISE_DATATYPE Workspace2D[4][4];
+
+ cNoise m_Noise; // Used for integral rnd values
+
+ #ifdef _DEBUG
+ // Statistics on the noise-space coords:
+ static int m_NumSingleX;
+ static int m_NumSingleXY;
+ static int m_NumSingleY;
+ static int m_NumCalls;
+ #endif // _DEBUG
+
+ /// 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
+ ) const;
+
+ void UpdateWorkRnds2DX(
+ Workspace2D & a_WorkRnds,
+ Workspace1D & a_Interps,
+ int a_LastFloorX, int a_NewFloorX,
+ int a_FloorY,
+ NOISE_DATATYPE a_FractionY
+ ) const;
+} ;
+
+
+
+
+
+class cPerlinNoise
+{
+public:
+ cPerlinNoise(void);
+ cPerlinNoise(int a_Seed);
+
+
+ void SetSeed(int a_Seed);
+
+ void AddOctave(NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude);
+
+ 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
+ ) const;
+
+
+ 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
+ ) const;
+
+
+ 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
+ ) const;
+
+protected:
+ class cOctave
+ {
+ public:
+ cCubicNoise m_Noise;
+
+ NOISE_DATATYPE m_Frequency; // Coord multiplier
+ NOISE_DATATYPE m_Amplitude; // Value multiplier
+
+ cOctave(int a_Seed, NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude) :
+ m_Noise(a_Seed),
+ m_Frequency(a_Frequency),
+ m_Amplitude(a_Amplitude)
+ {
+ }
+ } ;
+
+ typedef std::vector<cOctave> cOctaves;
+
+ int m_Seed;
+ cOctaves m_Octaves;
+} ;
+
+
+
+
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// 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;
+}
+
+
+
+
+
+///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Global functions:
+
+extern void Debug2DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, const AString & a_FileNameBase);
+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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