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authorMattes D <github@xoft.cz>2014-11-18 12:07:08 +0100
committerMattes D <github@xoft.cz>2014-11-18 12:07:08 +0100
commit2467d29a4ec63936d0af20ae4d5cfb8e897e75be (patch)
treec144dc21b6c297edc011c8dcaf5f5b13d49aee65 /src/Noise.h
parentRefactored cRidgedNoise into a separate template. (diff)
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diff --git a/src/Noise.h b/src/Noise.h
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-
-// Noise.h
-
-// Declares the cNoise, cCubicNoise and cPerlinNoise classes for generating noise
-
-#pragma once
-
-#include <cmath>
-
-/** The datatype used by all the noise generators. */
-typedef float NOISE_DATATYPE;
-
-#include "OctavedNoise.h"
-#include "RidgedNoise.h"
-
-
-
-
-
-class cNoise
-{
-public:
- cNoise(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;
-
- // Return a float number in the specified range:
- inline NOISE_DATATYPE IntNoise2DInRange(int a_X, int a_Y, float a_Min, float a_Max) const
- {
- return a_Min + std::abs(IntNoise2D(a_X, a_Y)) * (a_Max - a_Min);
- }
-
- // 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(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:
- 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;
-} ;
-
-
-
-
-
-/** Improved noise, as described by Ken Perlin: http://mrl.nyu.edu/~perlin/paper445.pdf
-Implementation adapted from Perlin's Java implementation: http://mrl.nyu.edu/~perlin/noise/ */
-class cImprovedNoise
-{
-public:
- /** Constructs a new instance of the noise obbject.
- Note that this operation is quite expensive (the permutation array being constructed). */
- cImprovedNoise(int a_Seed);
-
-
- /** Fills a 2D array with the values of the noise. */
- 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;
-
-
- /** Fills a 3D array with the values of the noise. */
- 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;
-
- /** Returns the value at the specified integral coords. Used for raw speed measurement. */
- NOISE_DATATYPE GetValueAt(int a_X, int a_Y, int a_Z);
-
-protected:
-
- /** The permutation table used by the noise function. Initialized using seed. */
- int m_Perm[512];
-
-
- /** Calculates the fade curve, 6 * t^5 - 15 * t^4 + 10 * t^3. */
- inline static NOISE_DATATYPE Fade(NOISE_DATATYPE a_T)
- {
- return a_T * a_T * a_T * (a_T * (a_T * 6 - 15) + 10);
- }
-
- /** Returns the gradient value based on the hash. */
- inline static NOISE_DATATYPE Grad(int a_Hash, NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y, NOISE_DATATYPE a_Z)
- {
- int hash = a_Hash % 16;
- NOISE_DATATYPE u = (hash < 8) ? a_X : a_Y;
- NOISE_DATATYPE v = (hash < 4) ? a_Y : (((hash == 12) || (hash == 14)) ? a_X : a_Z);
- return (((hash & 1) == 0) ? u : -u) + (((hash & 2) == 0) ? v : -v);
- }
-};
-
-
-
-
-
-typedef cOctavedNoise<cCubicNoise> cPerlinNoise;
-typedef cOctavedNoise<cRidgedNoise<cCubicNoise>> cRidgedMultiNoise;
-
-
-
-
-
-////////////////////////////////////////////////////////////////////////////////
-// 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 = (NOISE_DATATYPE)((NOISE_DATATYPE)(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:
-
-/** Exports the noise array into a file.
-a_Coeff specifies the value that each array value is multiplied by before being converted into a byte. */
-extern void Debug2DNoise(const NOISE_DATATYPE * a_Array, int a_SizeX, int a_SizeY, const AString & a_FileNameBase, NOISE_DATATYPE a_Coeff = 32);
-
-/** Exports the noise array into a set of files, ordered by XY and XZ.
-a_Coeff specifies the value that each array value is multiplied by before being converted into a byte. */
-extern void Debug3DNoise(const NOISE_DATATYPE * a_Array, int a_SizeX, int a_SizeY, int a_SizeZ, const AString & a_FileNameBase, NOISE_DATATYPE a_Coeff = 32);
-
-
-
-
-/** Linearly interpolates between two values.
-Assumes that a_Ratio is in range [0, 1]. */
-inline NOISE_DATATYPE Lerp(NOISE_DATATYPE a_Val1, NOISE_DATATYPE a_Val2, NOISE_DATATYPE a_Ratio)
-{
- return a_Val1 + (a_Val2 - a_Val1) * a_Ratio;
-}
-
-
-
-
-
-/** Linearly interpolates between two values, clamping the ratio to [0, 1] first. */
-inline NOISE_DATATYPE ClampedLerp(NOISE_DATATYPE a_Val1, NOISE_DATATYPE a_Val2, NOISE_DATATYPE a_Ratio)
-{
- if (a_Ratio < 0)
- {
- return a_Val1;
- }
- if (a_Ratio > 1)
- {
- return a_Val2;
- }
- return Lerp(a_Val1, a_Val2, a_Ratio);
-}
-
-
-
-
-
-
-
-
-