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author | Mattes D <github@xoft.cz> | 2014-11-20 10:13:10 +0100 |
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committer | Mattes D <github@xoft.cz> | 2014-11-20 10:13:10 +0100 |
commit | 288cbf12cb66ed9f026f81bb13e945c68cfefd13 (patch) | |
tree | fa97f48bbd8b871aa556c79974a2f64e76272ac0 /src/Noise | |
parent | Mobs: Fixed crash with terrain too high. (diff) | |
parent | Merge pull request #1603 from mc-server/ImprovedNoise (diff) | |
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Diffstat (limited to '')
-rw-r--r-- | src/Noise/CMakeLists.txt | 21 | ||||
-rw-r--r-- | src/Noise/InterpolNoise.h | 524 | ||||
-rw-r--r-- | src/Noise/Noise.cpp (renamed from src/Noise.cpp) | 551 | ||||
-rw-r--r-- | src/Noise/Noise.h (renamed from src/Noise.h) | 262 | ||||
-rw-r--r-- | src/Noise/OctavedNoise.h | 192 | ||||
-rw-r--r-- | src/Noise/RidgedNoise.h | 91 |
6 files changed, 1157 insertions, 484 deletions
diff --git a/src/Noise/CMakeLists.txt b/src/Noise/CMakeLists.txt new file mode 100644 index 000000000..e1837500f --- /dev/null +++ b/src/Noise/CMakeLists.txt @@ -0,0 +1,21 @@ + +cmake_minimum_required (VERSION 2.6) +project (MCServer) + +include_directories ("${PROJECT_SOURCE_DIR}/../") + +SET (SRCS + Noise.cpp +) + +SET (HDRS + Noise.h + OctavedNoise.h + RidgedNoise.h +) + +if(NOT MSVC) + add_library(Noise ${SRCS} ${HDRS}) + + target_link_libraries(Noise OSSupport) +endif() diff --git a/src/Noise/InterpolNoise.h b/src/Noise/InterpolNoise.h new file mode 100644 index 000000000..683b54563 --- /dev/null +++ b/src/Noise/InterpolNoise.h @@ -0,0 +1,524 @@ + +// InterpolNoise.h + +// Implements the cInterpolNoise class template representing a noise that interpolates the values between integer coords from a single set of neighbors + + + + + +#pragma once + +#include "Noise.h" + +#define FAST_FLOOR(x) (((x) < 0) ? (((int)x) - 1) : ((int)x)) + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cInterpolCell2D: + +template <typename T> +class cInterpolCell2D +{ +public: + cInterpolCell2D( + const cNoise & a_Noise, ///< Noise to use for generating the random values + 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 + const NOISE_DATATYPE * a_FracX, ///< Pointer to the array that stores the X fractional values + const NOISE_DATATYPE * a_FracY ///< Pointer to the attay that stores the Y fractional values + ): + m_Noise(a_Noise), + m_WorkRnds(&m_Workspace1), + m_CurFloorX(0), + m_CurFloorY(0), + m_Array(a_Array), + m_SizeX(a_SizeX), + m_SizeY(a_SizeY), + m_FracX(a_FracX), + m_FracY(a_FracY) + { + } + + + /** Generates part of the output noise array using the current m_WorkRnds[] values */ + void Generate( + int a_FromX, int a_ToX, + int a_FromY, int a_ToY + ) + { + for (int y = a_FromY; y < a_ToY; y++) + { + NOISE_DATATYPE Interp[2]; + NOISE_DATATYPE FracY = T::coeff(m_FracY[y]); + Interp[0] = Lerp((*m_WorkRnds)[0][0], (*m_WorkRnds)[0][1], FracY); + Interp[1] = Lerp((*m_WorkRnds)[1][0], (*m_WorkRnds)[1][1], FracY); + int idx = y * m_SizeX + a_FromX; + for (int x = a_FromX; x < a_ToX; x++) + { + m_Array[idx++] = Lerp(Interp[0], Interp[1], T::coeff(m_FracX[x])); + } // for x + } // for y + } + + + /** Initializes m_WorkRnds[] with the specified values of the noise at the specified integral coords. */ + void InitWorkRnds(int a_FloorX, int a_FloorY) + { + m_CurFloorX = a_FloorX; + m_CurFloorY = a_FloorY; + (*m_WorkRnds)[0][0] = m_Noise.IntNoise2D(m_CurFloorX, m_CurFloorY); + (*m_WorkRnds)[0][1] = m_Noise.IntNoise2D(m_CurFloorX, m_CurFloorY + 1); + (*m_WorkRnds)[1][0] = m_Noise.IntNoise2D(m_CurFloorX + 1, m_CurFloorY); + (*m_WorkRnds)[1][1] = m_Noise.IntNoise2D(m_CurFloorX + 1, m_CurFloorY + 1); + } + + + /** Updates m_WorkRnds[] for the new integral coords */ + void Move(int a_NewFloorX, int a_NewFloorY) + { + // Swap the doublebuffer: + int OldFloorX = m_CurFloorX; + int OldFloorY = m_CurFloorY; + Workspace * OldWorkRnds = m_WorkRnds; + m_WorkRnds = (m_WorkRnds == &m_Workspace1) ? &m_Workspace2 : &m_Workspace1; + + // Reuse as much of the old workspace as possible: + // TODO: Try out if simply calculating all 4 elements each time is faster than this monster loop + int DiffX = OldFloorX - a_NewFloorX; + int DiffY = OldFloorY - a_NewFloorY; + for (int x = 0; x < 2; x++) + { + int cx = a_NewFloorX + x; + int OldX = x - DiffX; // Where would this X be in the old grid? + for (int y = 0; y < 2; y++) + { + int cy = a_NewFloorY + y; + int OldY = y - DiffY; // Where would this Y be in the old grid? + if ((OldX >= 0) && (OldX < 2) && (OldY >= 0) && (OldY < 2)) + { + (*m_WorkRnds)[x][y] = (*OldWorkRnds)[OldX][OldY]; + } + else + { + (*m_WorkRnds)[x][y] = (NOISE_DATATYPE)m_Noise.IntNoise2D(cx, cy); + } + } + } + m_CurFloorX = a_NewFloorX; + m_CurFloorY = a_NewFloorY; + } + +protected: + typedef NOISE_DATATYPE Workspace[2][2]; + + /** The noise used for generating the values at integral coords. */ + const cNoise & m_Noise; + + /** The current random values; points to either m_Workspace1 or m_Workspace2 (doublebuffering) */ + Workspace * m_WorkRnds; + + /** Buffer 1 for workspace doublebuffering, used in Move() */ + Workspace m_Workspace1; + + /** Buffer 2 for workspace doublebuffering, used in Move() */ + Workspace m_Workspace2; + + /** Coords of the currently calculated m_WorkRnds[]. */ + int m_CurFloorX, m_CurFloorY; + + /** The output array to generate into. */ + NOISE_DATATYPE * m_Array; + + /** Dimensions of the output array. */ + int m_SizeX, m_SizeY; + + /** Arrays holding the fractional values of the coords in each direction. */ + const NOISE_DATATYPE * m_FracX; + const NOISE_DATATYPE * m_FracY; +} ; + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cInterpolCell3D: + +/** Holds a cache of the last calculated integral noise values and interpolates between them en masse. +Provides a massive optimization for cInterpolNoise. +Works by calculating multiple noise values (that have the same integral noise coords) at once. The underlying noise values +needn't be recalculated for these values, only the interpolation is done within the unit cube. */ +template <typename T> +class cInterpolCell3D +{ +public: + cInterpolCell3D( + const cNoise & a_Noise, ///< Noise to use for generating the random values + NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y] + int a_SizeX, int a_SizeY, int a_SizeZ, ///< Count of the array, in each direction + const NOISE_DATATYPE * a_FracX, ///< Pointer to the array that stores the X fractional values + const NOISE_DATATYPE * a_FracY, ///< Pointer to the attay that stores the Y fractional values + const NOISE_DATATYPE * a_FracZ ///< Pointer to the array that stores the Z fractional values + ): + m_Noise(a_Noise), + m_WorkRnds(&m_Workspace1), + m_CurFloorX(0), + m_CurFloorY(0), + m_CurFloorZ(0), + m_Array(a_Array), + m_SizeX(a_SizeX), + m_SizeY(a_SizeY), + m_SizeZ(a_SizeZ), + m_FracX(a_FracX), + m_FracY(a_FracY), + m_FracZ(a_FracZ) + { + } + + + /** Generates part of the output array using current m_WorkRnds[]. */ + void Generate( + int a_FromX, int a_ToX, + int a_FromY, int a_ToY, + int a_FromZ, int a_ToZ + ) + { + for (int z = a_FromZ; z < a_ToZ; z++) + { + int idxZ = z * m_SizeX * m_SizeY; + NOISE_DATATYPE Interp2[2][2]; + NOISE_DATATYPE FracZ = T::coeff(m_FracZ[z]); + for (int x = 0; x < 2; x++) + { + for (int y = 0; y < 2; y++) + { + Interp2[x][y] = Lerp((*m_WorkRnds)[x][y][0], (*m_WorkRnds)[x][y][1], FracZ); + } + } + for (int y = a_FromY; y < a_ToY; y++) + { + NOISE_DATATYPE Interp[2]; + NOISE_DATATYPE FracY = T::coeff(m_FracY[y]); + Interp[0] = Lerp(Interp2[0][0], Interp2[0][1], FracY); + Interp[1] = Lerp(Interp2[1][0], Interp2[1][1], FracY); + int idx = idxZ + y * m_SizeX + a_FromX; + for (int x = a_FromX; x < a_ToX; x++) + { + m_Array[idx++] = Lerp(Interp[0], Interp[1], T::coeff(m_FracX[x])); + } // for x + } // for y + } // for z + } + + + /** Initializes m_WorkRnds[] with the specified Floor values. */ + void InitWorkRnds(int a_FloorX, int a_FloorY, int a_FloorZ) + { + m_CurFloorX = a_FloorX; + m_CurFloorY = a_FloorY; + m_CurFloorZ = a_FloorZ; + (*m_WorkRnds)[0][0][0] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX, m_CurFloorY, m_CurFloorZ); + (*m_WorkRnds)[0][0][1] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX, m_CurFloorY, m_CurFloorZ + 1); + (*m_WorkRnds)[0][1][0] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX, m_CurFloorY + 1, m_CurFloorZ); + (*m_WorkRnds)[0][1][1] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX, m_CurFloorY + 1, m_CurFloorZ + 1); + (*m_WorkRnds)[1][0][0] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX + 1, m_CurFloorY, m_CurFloorZ); + (*m_WorkRnds)[1][0][1] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX + 1, m_CurFloorY, m_CurFloorZ + 1); + (*m_WorkRnds)[1][1][0] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX + 1, m_CurFloorY + 1, m_CurFloorZ); + (*m_WorkRnds)[1][1][1] = (NOISE_DATATYPE)m_Noise.IntNoise3D(m_CurFloorX + 1, m_CurFloorY + 1, m_CurFloorZ + 1); + } + + + /** Updates m_WorkRnds[] for the new Floor values. */ + void Move(int a_NewFloorX, int a_NewFloorY, int a_NewFloorZ) + { + // Swap the doublebuffer: + int OldFloorX = m_CurFloorX; + int OldFloorY = m_CurFloorY; + int OldFloorZ = m_CurFloorZ; + Workspace * OldWorkRnds = m_WorkRnds; + m_WorkRnds = (m_WorkRnds == &m_Workspace1) ? &m_Workspace2 : &m_Workspace1; + + // Reuse as much of the old workspace as possible: + // TODO: Try out if simply calculating all 8 elements each time is faster than this monster loop + int DiffX = OldFloorX - a_NewFloorX; + int DiffY = OldFloorY - a_NewFloorY; + int DiffZ = OldFloorZ - a_NewFloorZ; + for (int x = 0; x < 2; x++) + { + int cx = a_NewFloorX + x; + int OldX = x - DiffX; // Where would this X be in the old grid? + for (int y = 0; y < 2; y++) + { + int cy = a_NewFloorY + y; + int OldY = y - DiffY; // Where would this Y be in the old grid? + for (int z = 0; z < 2; z++) + { + int cz = a_NewFloorZ + z; + int OldZ = z - DiffZ; + if ((OldX >= 0) && (OldX < 2) && (OldY >= 0) && (OldY < 2) && (OldZ >= 0) && (OldZ < 2)) + { + (*m_WorkRnds)[x][y][z] = (*OldWorkRnds)[OldX][OldY][OldZ]; + } + else + { + (*m_WorkRnds)[x][y][z] = (NOISE_DATATYPE)m_Noise.IntNoise3D(cx, cy, cz); + } + } // for z + } // for y + } // for x + m_CurFloorX = a_NewFloorX; + m_CurFloorY = a_NewFloorY; + m_CurFloorZ = a_NewFloorZ; + } + +protected: + typedef NOISE_DATATYPE Workspace[2][2][2]; + + /** The noise used for generating the values at integral coords. */ + const cNoise & m_Noise; + + /** The current random values; points to either m_Workspace1 or m_Workspace2 (doublebuffering) */ + Workspace * m_WorkRnds; + + /** Buffer 1 for workspace doublebuffering, used in Move() */ + Workspace m_Workspace1; + + /** Buffer 2 for workspace doublebuffering, used in Move() */ + Workspace m_Workspace2; + + /** The integral coords of the currently calculated WorkRnds[] */ + int m_CurFloorX, m_CurFloorY, m_CurFloorZ; + + /** The output array where the noise is calculated. */ + NOISE_DATATYPE * m_Array; + + /** Dimensions of the output array. */ + int m_SizeX, m_SizeY, m_SizeZ; + + /** Arrays holding the fractional values of the coords in each direction. */ + const NOISE_DATATYPE * m_FracX; + const NOISE_DATATYPE * m_FracY; + const NOISE_DATATYPE * m_FracZ; +} ; + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cInterpolNoise: + +template <typename T> +class cInterpolNoise +{ + /** Maximum size, for each direction, of the generated array. */ + static const int MAX_SIZE = 256; + +public: + cInterpolNoise(int a_Seed): + m_Noise(a_Seed) + { + } + + + /** Sets a new seed for the generators. Relays the seed to the underlying noise. */ + void SetSeed(int a_Seed) + { + m_Noise.SetSeed(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 + { + ASSERT(a_SizeX > 0); + ASSERT(a_SizeY > 0); + ASSERT(a_SizeX < MAX_SIZE); + ASSERT(a_SizeY < MAX_SIZE); + ASSERT(a_StartX < a_EndX); + ASSERT(a_StartY < a_EndY); + + // Calculate the integral and fractional parts of each coord: + int FloorX[MAX_SIZE]; + int FloorY[MAX_SIZE]; + NOISE_DATATYPE FracX[MAX_SIZE]; + NOISE_DATATYPE FracY[MAX_SIZE]; + int SameX[MAX_SIZE]; + int SameY[MAX_SIZE]; + int NumSameX, NumSameY; + CalcFloorFrac(a_SizeX, a_StartX, a_EndX, FloorX, FracX, SameX, NumSameX); + CalcFloorFrac(a_SizeY, a_StartY, a_EndY, FloorY, FracY, SameY, NumSameY); + + cInterpolCell2D<T> Cell(m_Noise, a_Array, a_SizeX, a_SizeY, FracX, FracY); + + Cell.InitWorkRnds(FloorX[0], FloorY[0]); + + // Calculate query values using Cell: + int FromY = 0; + for (int y = 0; y < NumSameY; y++) + { + int ToY = FromY + SameY[y]; + int FromX = 0; + int CurFloorY = FloorY[FromY]; + for (int x = 0; x < NumSameX; x++) + { + int ToX = FromX + SameX[x]; + Cell.Generate(FromX, ToX, FromY, ToY); + Cell.Move(FloorX[ToX], CurFloorY); + FromX = ToX; + } // for x + Cell.Move(FloorX[0], FloorY[ToY]); + FromY = ToY; + } // for y + } + + + /** 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 + { + // Check params: + ASSERT(a_SizeX > 1); + ASSERT(a_SizeY > 1); + + ASSERT(a_SizeX < MAX_SIZE); + ASSERT(a_SizeY < MAX_SIZE); + ASSERT(a_SizeZ < MAX_SIZE); + ASSERT(a_StartX < a_EndX); + ASSERT(a_StartY < a_EndY); + ASSERT(a_StartZ < a_EndZ); + + // Calculate the integral and fractional parts of each coord: + int FloorX[MAX_SIZE]; + int FloorY[MAX_SIZE]; + int FloorZ[MAX_SIZE]; + NOISE_DATATYPE FracX[MAX_SIZE]; + NOISE_DATATYPE FracY[MAX_SIZE]; + NOISE_DATATYPE FracZ[MAX_SIZE]; + int SameX[MAX_SIZE]; + int SameY[MAX_SIZE]; + int SameZ[MAX_SIZE]; + int NumSameX, NumSameY, NumSameZ; + CalcFloorFrac(a_SizeX, a_StartX, a_EndX, FloorX, FracX, SameX, NumSameX); + CalcFloorFrac(a_SizeY, a_StartY, a_EndY, FloorY, FracY, SameY, NumSameY); + CalcFloorFrac(a_SizeZ, a_StartZ, a_EndZ, FloorZ, FracZ, SameZ, NumSameZ); + + cInterpolCell3D<T> Cell( + m_Noise, a_Array, + a_SizeX, a_SizeY, a_SizeZ, + FracX, FracY, FracZ + ); + + Cell.InitWorkRnds(FloorX[0], FloorY[0], FloorZ[0]); + + // Calculate query values using Cell: + int FromZ = 0; + for (int z = 0; z < NumSameZ; z++) + { + int ToZ = FromZ + SameZ[z]; + int CurFloorZ = FloorZ[FromZ]; + int FromY = 0; + for (int y = 0; y < NumSameY; y++) + { + int ToY = FromY + SameY[y]; + int CurFloorY = FloorY[FromY]; + int FromX = 0; + for (int x = 0; x < NumSameX; x++) + { + int ToX = FromX + SameX[x]; + Cell.Generate(FromX, ToX, FromY, ToY, FromZ, ToZ); + Cell.Move(FloorX[ToX], CurFloorY, CurFloorZ); + FromX = ToX; + } + Cell.Move(FloorX[0], FloorY[ToY], CurFloorZ); + FromY = ToY; + } // for y + Cell.Move(FloorX[0], FloorY[0], FloorZ[ToZ]); + FromZ = ToZ; + } // for z + } + +protected: + + /** The noise used for the underlying value generation. */ + cNoise m_Noise; + + + /** Calculates the integral and fractional parts along one axis. + a_Floor will receive the integral parts (array of a_Size ints). + a_Frac will receive the fractional parts (array of a_Size floats). + a_Same will receive the counts of items that have the same integral parts (array of up to a_Size ints). + a_NumSame will receive the count of a_Same elements (total count of different integral parts). */ + 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 + { + ASSERT(a_Size > 0); + + // Calculate the floor and frac values: + NOISE_DATATYPE val = a_Start; + NOISE_DATATYPE dif = (a_End - a_Start) / (a_Size - 1); + for (int i = 0; i < a_Size; i++) + { + a_Floor[i] = FAST_FLOOR(val); + a_Frac[i] = val - a_Floor[i]; + val += dif; + } + + // Mark up the same floor values into a_Same / a_NumSame: + int CurFloor = a_Floor[0]; + int LastSame = 0; + a_NumSame = 0; + for (int i = 1; i < a_Size; i++) + { + if (a_Floor[i] != CurFloor) + { + a_Same[a_NumSame] = i - LastSame; + LastSame = i; + a_NumSame += 1; + CurFloor = a_Floor[i]; + } + } // for i - a_Floor[] + if (LastSame < a_Size) + { + a_Same[a_NumSame] = a_Size - LastSame; + a_NumSame += 1; + } + } +}; + + + + + +/** A fifth-degree curve for interpolating. +Implemented as a functor for better chance of inlining. */ +struct Interp5Deg +{ + static NOISE_DATATYPE coeff(NOISE_DATATYPE a_Val) + { + return a_Val * a_Val * a_Val * (a_Val * (a_Val * 6 - 15) + 10); + } +}; + +typedef cInterpolNoise<Interp5Deg> cInterp5DegNoise; + + + diff --git a/src/Noise.cpp b/src/Noise/Noise.cpp index 8fcfe2920..509be7d6c 100644 --- a/src/Noise.cpp +++ b/src/Noise/Noise.cpp @@ -2,6 +2,7 @@ #include "Globals.h" // NOTE: MSVC stupidness requires this to be the same across all modules #include "Noise.h" +#include "OSSupport/Timer.h" #define FAST_FLOOR(x) (((x) < 0) ? (((int)x) - 1) : ((int)x)) @@ -9,10 +10,110 @@ +#if 0 +/** cImprovedPerlin noise test suite: +- Generate a rather large 2D and 3D noise array and output it to a file +- Compare performance of cCubicNoise and cImprovedNoise, both in single-value and 3D-array usages */ +static class cImprovedPerlinNoiseTest +{ +public: + cImprovedPerlinNoiseTest(void) + { + printf("Performing Improved Perlin Noise tests...\n"); + TestImage(); + TestSpeed(); + TestSpeedArr(); + printf("Improved Perlin Noise tests complete.\n"); + } + + + /** Tests the noise by generating 2D and 3D images and dumping them to files. */ + void TestImage(void) + { + static const int SIZE_X = 256; + static const int SIZE_Y = 256; + static const int SIZE_Z = 16; + + cImprovedNoise noise(1); + std::unique_ptr<NOISE_DATATYPE[]> arr(new NOISE_DATATYPE[SIZE_X * SIZE_Y * SIZE_Z]); + noise.Generate3D(arr.get(), SIZE_X, SIZE_Y, SIZE_Z, 0, 14, 0, 14, 0, 14); + Debug3DNoise(arr.get(), SIZE_X, SIZE_Y, SIZE_Z, "ImprovedPerlinNoiseTest3D", 128); + noise.Generate2D(arr.get(), SIZE_X, SIZE_Y, 0, 14, 15, 28); + Debug2DNoise(arr.get(), SIZE_X, SIZE_Y, "ImprovedPerlinNoiseTest2D", 128); + } + + + /** Tests the speeds of cImprovedPerlin and cCubicNoise when generating individual values. */ + void TestSpeed(void) + { + cImprovedNoise improvedNoise(1); + cNoise noise(1); + cTimer timer; + + // Measure the improvedNoise: + NOISE_DATATYPE sum = 0; + long long start = timer.GetNowTime(); + for (int i = 0; i < 100000000; i++) + { + sum += improvedNoise.GetValueAt(i, 0, -i); + } + long long finish = timer.GetNowTime(); + printf("cImprovedNoise took %.2f seconds; total is %f.\n", static_cast<float>(finish - start) / 1000.0f, sum); + + // Measure the cubicNoise: + sum = 0; + start = timer.GetNowTime(); + for (int i = 0; i < 100000000; i++) + { + sum += noise.IntNoise3D(i, 0, -i); + } + finish = timer.GetNowTime(); + printf("cCubicNoise took %.2f seconds; total is %f.\n", static_cast<float>(finish - start) / 1000.0f, sum); + } + + + /** Tests the speeds of cImprovedPerlin and cCubicNoise when generating arrays. */ + void TestSpeedArr(void) + { + static const int SIZE_X = 256; + static const int SIZE_Y = 256; + static const int SIZE_Z = 16; + + std::unique_ptr<NOISE_DATATYPE[]> arr(new NOISE_DATATYPE[SIZE_X * SIZE_Y * SIZE_Z]); + cTimer timer; + cImprovedNoise improvedNoise(1); + cCubicNoise cubicNoise(1); + + // Measure the improvedNoise: + long long start = timer.GetNowTime(); + for (int i = 0; i < 40; i++) + { + improvedNoise.Generate3D(arr.get(), SIZE_X, SIZE_Y, SIZE_Z, 0, 14, 0, 14, 0, 14); + } + long long finish = timer.GetNowTime(); + printf("cImprovedNoise(arr) took %.2f seconds.\n", static_cast<float>(finish - start) / 1000.0f); + + // Measure the cubicNoise: + start = timer.GetNowTime(); + for (int i = 0; i < 40; i++) + { + cubicNoise.Generate3D(arr.get(), SIZE_X, SIZE_Y, SIZE_Z, 0, 14, 0, 14, 0, 14); + } + finish = timer.GetNowTime(); + printf("cCubicNoise(arr) took %.2f seconds.\n", static_cast<float>(finish - start) / 1000.0f); + } +} g_Test; + +#endif + + + + + //////////////////////////////////////////////////////////////////////////////// // Globals: -void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int a_SizeZ, const AString & a_FileNameBase) +void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int a_SizeZ, const AString & a_FileNameBase, NOISE_DATATYPE a_Coeff) { const int BUF_SIZE = 512; ASSERT(a_SizeX <= BUF_SIZE); // Just stretch it, if needed @@ -29,7 +130,7 @@ void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int unsigned char buf[BUF_SIZE]; for (int x = 0; x < a_SizeX; x++) { - buf[x] = (unsigned char)(std::min(255, std::max(0, (int)(128 + 32 * a_Noise[idx++])))); + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); } f1.Write(buf, a_SizeX); } // for y @@ -50,7 +151,7 @@ void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int unsigned char buf[BUF_SIZE]; for (int x = 0; x < a_SizeX; x++) { - buf[x] = (unsigned char)(std::min(255, std::max(0, (int)(128 + 32 * a_Noise[idx++])))); + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); } f2.Write(buf, a_SizeX); } // for z @@ -65,7 +166,7 @@ void Debug3DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, int -void Debug2DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, const AString & a_FileNameBase) +void Debug2DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, const AString & a_FileNameBase, NOISE_DATATYPE a_Coeff) { const int BUF_SIZE = 512; ASSERT(a_SizeX <= BUF_SIZE); // Just stretch it, if needed @@ -79,7 +180,7 @@ void Debug2DNoise(const NOISE_DATATYPE * a_Noise, int a_SizeX, int a_SizeY, cons unsigned char buf[BUF_SIZE]; for (int x = 0; x < a_SizeX; x++) { - buf[x] = (unsigned char)(std::min(255, std::max(0, (int)(128 + 32 * a_Noise[idx++])))); + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); } f1.Write(buf, a_SizeX); } // for y @@ -594,13 +695,6 @@ NOISE_DATATYPE cNoise::CubicNoise3D(NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y, NOIS //////////////////////////////////////////////////////////////////////////////// // cCubicNoise: -#ifdef _DEBUG - int cCubicNoise::m_NumSingleX = 0; - int cCubicNoise::m_NumSingleXY = 0; - int cCubicNoise::m_NumSingleY = 0; - int cCubicNoise::m_NumCalls = 0; -#endif // _DEBUG - cCubicNoise::cCubicNoise(int a_Seed) : m_Noise(a_Seed) { @@ -639,23 +733,6 @@ void cCubicNoise::Generate2D( Cell.InitWorkRnds(FloorX[0], FloorY[0]); - #ifdef _DEBUG - // Statistics on the noise-space coords: - if (NumSameX == 1) - { - m_NumSingleX++; - if (NumSameY == 1) - { - m_NumSingleXY++; - } - } - if (NumSameY == 1) - { - m_NumSingleY++; - } - m_NumCalls++; - #endif // _DEBUG - // Calculate query values using Cell: int FromY = 0; for (int y = 0; y < NumSameY; y++) @@ -792,101 +869,28 @@ void cCubicNoise::CalcFloorFrac( //////////////////////////////////////////////////////////////////////////////// -// cPerlinNoise: - -cPerlinNoise::cPerlinNoise(void) : - m_Seed(0) -{ -} - - - +// cImprovedNoise: - -cPerlinNoise::cPerlinNoise(int a_Seed) : - m_Seed(a_Seed) -{ -} - - - - - -void cPerlinNoise::SetSeed(int a_Seed) -{ - m_Seed = a_Seed; -} - - - - - -void cPerlinNoise::AddOctave(float a_Frequency, float a_Amplitude) -{ - m_Octaves.push_back(cOctave(m_Seed * ((int)m_Octaves.size() + 4) * 4 + 1024, a_Frequency, a_Amplitude)); -} - - - - - -void cPerlinNoise::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 ///< Workspace that this function can use and trash -) const +cImprovedNoise::cImprovedNoise(int a_Seed) { - if (m_Octaves.empty()) - { - // No work to be done - ASSERT(!"Perlin: No octaves to generate!"); - return; - } - - bool ShouldFreeWorkspace = (a_Workspace == nullptr); - int ArrayCount = a_SizeX * a_SizeY; - if (ShouldFreeWorkspace) - { - a_Workspace = new NOISE_DATATYPE[ArrayCount]; - } - - // Generate the first octave directly into array: - const cOctave & FirstOctave = m_Octaves.front(); - - FirstOctave.m_Noise.Generate2D( - a_Workspace, a_SizeX, a_SizeY, - a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, - a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency - ); - NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; - for (int i = 0; i < ArrayCount; i++) + // Initialize the permutations with identity: + for (int i = 0; i < 256; i++) { - a_Array[i] = a_Workspace[i] * Amplitude; + m_Perm[i] = i; } - - // Add each octave: - for (cOctaves::const_iterator itr = m_Octaves.begin() + 1, end = m_Octaves.end(); itr != end; ++itr) + + // Randomize the permutation table - swap each element with a random other element: + cNoise noise(a_Seed); + for (int i = 0; i < 256; i++) { - // Generate cubic noise for the octave: - itr->m_Noise.Generate2D( - a_Workspace, a_SizeX, a_SizeY, - a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, - a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency - ); - // Add the cubic noise into the output: - NOISE_DATATYPE Amplitude = itr->m_Amplitude; - for (int i = 0; i < ArrayCount; i++) - { - a_Array[i] += a_Workspace[i] * Amplitude; - } + int rnd = (noise.IntNoise1DInt(i) / 7) % 256; + std::swap(m_Perm[i], m_Perm[rnd]); } - - if (ShouldFreeWorkspace) + + // Copy the lower 256 entries into upper 256 entries: + for (int i = 0; i < 256; i++) { - delete[] a_Workspace; - a_Workspace = nullptr; + m_Perm[i + 256] = m_Perm[i]; } } @@ -894,239 +898,132 @@ void cPerlinNoise::Generate2D( -void cPerlinNoise::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 ///< Workspace that this function can use and trash +void cImprovedNoise::Generate2D( + NOISE_DATATYPE * a_Array, + int a_SizeX, int a_SizeY, + NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, + NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY ) const { - if (m_Octaves.empty()) - { - // No work to be done - ASSERT(!"Perlin: No octaves to generate!"); - return; - } - - bool ShouldFreeWorkspace = (a_Workspace == nullptr); - int ArrayCount = a_SizeX * a_SizeY * a_SizeZ; - if (ShouldFreeWorkspace) + size_t idx = 0; + for (int y = 0; y < a_SizeY; y++) { - a_Workspace = new NOISE_DATATYPE[ArrayCount]; - } - - // Generate the first octave directly into array: - const cOctave & FirstOctave = m_Octaves.front(); - - FirstOctave.m_Noise.Generate3D( - a_Workspace, a_SizeX, a_SizeY, a_SizeZ, - a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, - a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency, - a_StartZ * FirstOctave.m_Frequency, a_EndZ * FirstOctave.m_Frequency - ); - NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; - for (int i = 0; i < ArrayCount; i++) - { - a_Array[i] = a_Workspace[i] * Amplitude; - } - - // Add each octave: - for (cOctaves::const_iterator itr = m_Octaves.begin() + 1, end = m_Octaves.end(); itr != end; ++itr) - { - // Generate cubic noise for the octave: - itr->m_Noise.Generate3D( - a_Workspace, a_SizeX, a_SizeY, a_SizeZ, - a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, - a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency, - a_StartZ * itr->m_Frequency, a_EndZ * itr->m_Frequency - ); - // Add the cubic noise into the output: - NOISE_DATATYPE Amplitude = itr->m_Amplitude; - for (int i = 0; i < ArrayCount; i++) + NOISE_DATATYPE ratioY = static_cast<NOISE_DATATYPE>(y) / (a_SizeY - 1); + NOISE_DATATYPE noiseY = Lerp(a_StartY, a_EndY, ratioY); + int noiseYInt = FAST_FLOOR(noiseY); + int yCoord = noiseYInt & 255; + NOISE_DATATYPE noiseYFrac = noiseY - noiseYInt; + NOISE_DATATYPE fadeY = Fade(noiseYFrac); + for (int x = 0; x < a_SizeX; x++) { - a_Array[i] += a_Workspace[i] * Amplitude; - } - } - - if (ShouldFreeWorkspace) - { - delete[] a_Workspace; - a_Workspace = nullptr; - } -} - - - - - -//////////////////////////////////////////////////////////////////////////////// -// cRidgedMultiNoise: - -cRidgedMultiNoise::cRidgedMultiNoise(void) : - m_Seed(0) -{ -} - - - - - -cRidgedMultiNoise::cRidgedMultiNoise(int a_Seed) : - m_Seed(a_Seed) -{ -} - - - - - -void cRidgedMultiNoise::SetSeed(int a_Seed) -{ - m_Seed = a_Seed; -} - - - - - -void cRidgedMultiNoise::AddOctave(float a_Frequency, float a_Amplitude) -{ - m_Octaves.push_back(cOctave(m_Seed * ((int)m_Octaves.size() + 4) * 4 + 1024, a_Frequency, a_Amplitude)); + NOISE_DATATYPE ratioX = static_cast<NOISE_DATATYPE>(x) / (a_SizeX - 1); + NOISE_DATATYPE noiseX = Lerp(a_StartX, a_EndX, ratioX); + int noiseXInt = FAST_FLOOR(noiseX); + int xCoord = noiseXInt & 255; + NOISE_DATATYPE noiseXFrac = noiseX - noiseXInt; + NOISE_DATATYPE fadeX = Fade(noiseXFrac); + + // Hash the coordinates: + int A = m_Perm[xCoord] + yCoord; + int AA = m_Perm[A]; + int AB = m_Perm[A + 1]; + int B = m_Perm[xCoord + 1] + yCoord; + int BA = m_Perm[B]; + int BB = m_Perm[B + 1]; + + // Lerp the gradients: + a_Array[idx++] = Lerp( + Lerp(Grad(m_Perm[AA], noiseXFrac, noiseYFrac, 0), Grad(m_Perm[BA], noiseXFrac - 1, noiseYFrac, 0), fadeX), + Lerp(Grad(m_Perm[AB], noiseXFrac, noiseYFrac - 1, 0), Grad(m_Perm[BB], noiseXFrac - 1, noiseYFrac - 1, 0), fadeX), + fadeY + ); + } // for x + } // for y } -void cRidgedMultiNoise::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 ///< Workspace that this function can use and trash +void cImprovedNoise::Generate3D( + NOISE_DATATYPE * a_Array, + int a_SizeX, int a_SizeY, int a_SizeZ, + NOISE_DATATYPE a_StartX, NOISE_DATATYPE a_EndX, + NOISE_DATATYPE a_StartY, NOISE_DATATYPE a_EndY, + NOISE_DATATYPE a_StartZ, NOISE_DATATYPE a_EndZ ) const { - if (m_Octaves.empty()) - { - // No work to be done - ASSERT(!"RidgedMulti: No octaves to generate!"); - return; - } - - bool ShouldFreeWorkspace = (a_Workspace == nullptr); - int ArrayCount = a_SizeX * a_SizeY; - if (ShouldFreeWorkspace) - { - a_Workspace = new NOISE_DATATYPE[ArrayCount]; - } - - // Generate the first octave directly into array: - const cOctave & FirstOctave = m_Octaves.front(); - - FirstOctave.m_Noise.Generate2D( - a_Workspace, a_SizeX, a_SizeY, - a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, - a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency - ); - NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; - for (int i = 0; i < ArrayCount; i++) + size_t idx = 0; + for (int z = 0; z < a_SizeZ; z++) { - a_Array[i] = fabs(a_Workspace[i] * Amplitude); - } - - // Add each octave: - for (cOctaves::const_iterator itr = m_Octaves.begin() + 1, end = m_Octaves.end(); itr != end; ++itr) - { - // Generate cubic noise for the octave: - itr->m_Noise.Generate2D( - a_Workspace, a_SizeX, a_SizeY, - a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, - a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency - ); - // Add the cubic noise into the output: - NOISE_DATATYPE Amplitude = itr->m_Amplitude; - for (int i = 0; i < ArrayCount; i++) + NOISE_DATATYPE ratioZ = static_cast<NOISE_DATATYPE>(z) / (a_SizeZ - 1); + NOISE_DATATYPE noiseZ = Lerp(a_StartZ, a_EndZ, ratioZ); + int noiseZInt = FAST_FLOOR(noiseZ); + int zCoord = noiseZInt & 255; + NOISE_DATATYPE noiseZFrac = noiseZ - noiseZInt; + NOISE_DATATYPE fadeZ = Fade(noiseZFrac); + for (int y = 0; y < a_SizeY; y++) { - a_Array[i] += fabs(a_Workspace[i] * Amplitude); - } - } - - if (ShouldFreeWorkspace) - { - delete[] a_Workspace; - a_Workspace = nullptr; - } + NOISE_DATATYPE ratioY = static_cast<NOISE_DATATYPE>(y) / (a_SizeY - 1); + NOISE_DATATYPE noiseY = Lerp(a_StartY, a_EndY, ratioY); + int noiseYInt = FAST_FLOOR(noiseY); + int yCoord = noiseYInt & 255; + NOISE_DATATYPE noiseYFrac = noiseY - noiseYInt; + NOISE_DATATYPE fadeY = Fade(noiseYFrac); + for (int x = 0; x < a_SizeX; x++) + { + NOISE_DATATYPE ratioX = static_cast<NOISE_DATATYPE>(x) / (a_SizeX - 1); + NOISE_DATATYPE noiseX = Lerp(a_StartX, a_EndX, ratioX); + int noiseXInt = FAST_FLOOR(noiseX); + int xCoord = noiseXInt & 255; + NOISE_DATATYPE noiseXFrac = noiseX - noiseXInt; + NOISE_DATATYPE fadeX = Fade(noiseXFrac); + + // Hash the coordinates: + int A = m_Perm[xCoord] + yCoord; + int AA = m_Perm[A] + zCoord; + int AB = m_Perm[A + 1] + zCoord; + int B = m_Perm[xCoord + 1] + yCoord; + int BA = m_Perm[B] + zCoord; + int BB = m_Perm[B + 1] + zCoord; + + // Lerp the gradients: + // TODO: This may be optimized by swapping the coords and recalculating most lerps only "once every x" + a_Array[idx++] = Lerp( + Lerp( + Lerp(Grad(m_Perm[AA], noiseXFrac, noiseYFrac, noiseZFrac), Grad(m_Perm[BA], noiseXFrac - 1, noiseYFrac, noiseZFrac), fadeX), + Lerp(Grad(m_Perm[AB], noiseXFrac, noiseYFrac - 1, noiseZFrac), Grad(m_Perm[BB], noiseXFrac - 1, noiseYFrac - 1, noiseZFrac), fadeX), + fadeY + ), + Lerp( + Lerp(Grad(m_Perm[AA + 1], noiseXFrac, noiseYFrac, noiseZFrac - 1), Grad(m_Perm[BA + 1], noiseXFrac - 1, noiseYFrac, noiseZFrac - 1), fadeX), + Lerp(Grad(m_Perm[AB + 1], noiseXFrac, noiseYFrac - 1, noiseZFrac - 1), Grad(m_Perm[BB + 1], noiseXFrac - 1, noiseYFrac - 1, noiseZFrac - 1), fadeX), + fadeY + ), + fadeZ + ); + } // for x + } // for y + } // for z } -void cRidgedMultiNoise::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 ///< Workspace that this function can use and trash -) const +NOISE_DATATYPE cImprovedNoise::GetValueAt(int a_X, int a_Y, int a_Z) { - if (m_Octaves.empty()) - { - // No work to be done - ASSERT(!"RidgedMulti: No octaves to generate!"); - return; - } - - bool ShouldFreeWorkspace = (a_Workspace == nullptr); - int ArrayCount = a_SizeX * a_SizeY * a_SizeZ; - if (ShouldFreeWorkspace) - { - a_Workspace = new NOISE_DATATYPE[ArrayCount]; - } - - // Generate the first octave directly into array: - const cOctave & FirstOctave = m_Octaves.front(); - - FirstOctave.m_Noise.Generate3D( - a_Workspace, a_SizeX, a_SizeY, a_SizeZ, - a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, - a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency, - a_StartZ * FirstOctave.m_Frequency, a_EndZ * FirstOctave.m_Frequency - ); - NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; - for (int i = 0; i < ArrayCount; i++) - { - a_Array[i] = a_Workspace[i] * Amplitude; - } - - // Add each octave: - for (cOctaves::const_iterator itr = m_Octaves.begin() + 1, end = m_Octaves.end(); itr != end; ++itr) - { - // Generate cubic noise for the octave: - itr->m_Noise.Generate3D( - a_Workspace, a_SizeX, a_SizeY, a_SizeZ, - a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, - a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency, - a_StartZ * itr->m_Frequency, a_EndZ * itr->m_Frequency - ); - // Add the cubic noise into the output: - NOISE_DATATYPE Amplitude = itr->m_Amplitude; - for (int i = 0; i < ArrayCount; i++) - { - a_Array[i] += a_Workspace[i] * Amplitude; - } - } - - if (ShouldFreeWorkspace) - { - delete[] a_Workspace; - a_Workspace = nullptr; - } + // Hash the coordinates: + a_X = a_X & 255; + a_Y = a_Y & 255; + a_Z = a_Z & 255; + int A = m_Perm[a_X] + a_Y; + int AA = m_Perm[A] + a_Z; + + return Grad(m_Perm[AA], 1, 1, 1); } + diff --git a/src/Noise.h b/src/Noise/Noise.h index b7a90d5b7..323194bfd 100644 --- a/src/Noise.h +++ b/src/Noise/Noise.h @@ -7,22 +7,11 @@ #include <cmath> +/** The datatype used by all the noise generators. */ +typedef float NOISE_DATATYPE; - - - -// Some settings -#define NOISE_DATATYPE float - - - - - -#ifdef _MSC_VER - #define INLINE __forceinline -#else - #define INLINE inline -#endif +#include "OctavedNoise.h" +#include "RidgedNoise.h" @@ -35,20 +24,20 @@ public: 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; + 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 + 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; + 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; @@ -61,9 +50,9 @@ public: 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); + 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; @@ -76,19 +65,15 @@ private: class cCubicNoise { public: - static const int MAX_SIZE = 512; ///< Maximum size of each dimension of the query arrays. + /** Maximum size of each dimension of the query arrays. */ + static const int MAX_SIZE = 512; + /** Creates a new instance with the specified seed. */ 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; - - + /** 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 @@ -97,6 +82,7 @@ public: ) 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 @@ -106,163 +92,87 @@ public: ) 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. + /** Noise used for integral random values. */ + cNoise m_Noise; + + + /** Calculates the integral and fractional parts along one axis. + a_Floor will receive the integral parts (array of a_Size ints). + a_Frac will receive the fractional parts (array of a_Size floats). + a_Same will receive the counts of items that have the same integral parts (array of up to a_Size ints). + a_NumSame will receive the count of a_Same elements (total count of different integral parts). */ 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 +/** 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: - 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 = nullptr ///< Workspace that this function can use and trash - ) const; - - + /** 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 - NOISE_DATATYPE * a_Workspace = nullptr ///< Workspace that this function can use and trash + 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 - NOISE_DATATYPE * a_Workspace = nullptr ///< Workspace that this function can use and trash + 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: - class cOctave + + /** 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) { - 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; -} ; + 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); + } +}; -class cRidgedMultiNoise -{ -public: - cRidgedMultiNoise(void); - cRidgedMultiNoise(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 = nullptr ///< 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 = nullptr ///< 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 = nullptr ///< 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; -} ; + +typedef cOctavedNoise<cCubicNoise> cPerlinNoise; +typedef cOctavedNoise<cRidgedNoise<cCubicNoise>> cRidgedMultiNoise; @@ -376,8 +286,46 @@ NOISE_DATATYPE cNoise::LinearInterpolate(NOISE_DATATYPE a_A, NOISE_DATATYPE a_B, //////////////////////////////////////////////////////////////////////////////// // 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); +/** 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); +} + + + + + diff --git a/src/Noise/OctavedNoise.h b/src/Noise/OctavedNoise.h new file mode 100644 index 000000000..855117289 --- /dev/null +++ b/src/Noise/OctavedNoise.h @@ -0,0 +1,192 @@ + +// OctavedNoise.h + +// Implements the cOctavedNoise class template representing a noise generator that layers several octaves of another noise + + + + + +#pragma once + + + + + +template <typename N> +class cOctavedNoise +{ +public: + cOctavedNoise(int a_Seed = 0): + m_Seed(a_Seed) + { + } + + + /** Sets a new seed for the generators. Relays the seed to all underlying octaves. */ + void SetSeed(int a_Seed) + { + m_Seed = a_Seed; + for (auto oct: m_Octaves) + { + oct->SetSeed(a_Seed); + } + } + + + /** Adds a new octave to the list of octaves that compose this noise. */ + void AddOctave(NOISE_DATATYPE a_Frequency, NOISE_DATATYPE a_Amplitude) + { + m_Octaves.emplace_back(m_Seed, a_Frequency, a_Amplitude); + } + + + /** 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 + NOISE_DATATYPE * a_Workspace = nullptr ///< Workspace that this function can use and trash. + ) const + { + // Check that state is alright: + if (m_Octaves.empty()) + { + ASSERT(!"cOctavedNoise: No octaves to generate!"); + return; + } + + // Allocate the workspace on the heap, if it wasn't given: + std::unique_ptr<NOISE_DATATYPE[]> workspaceHeap; + if (a_Workspace == nullptr) + { + workspaceHeap.reset(new NOISE_DATATYPE[a_SizeX * a_SizeY]); + a_Workspace = workspaceHeap.get(); + } + + // Generate the first octave directly into array: + const cOctave & FirstOctave = m_Octaves.front(); + int ArrayCount = a_SizeX * a_SizeY; + FirstOctave.m_Noise.Generate2D( + a_Workspace, a_SizeX, a_SizeY, + a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, + a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency + ); + NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] = a_Workspace[i] * Amplitude; + } + + // Add each octave: + for (auto itr = m_Octaves.cbegin() + 1, end = m_Octaves.cend(); itr != end; ++itr) + { + // Generate the noise for the octave: + itr->m_Noise.Generate2D( + a_Workspace, a_SizeX, a_SizeY, + a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, + a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency + ); + // Add it into the output: + NOISE_DATATYPE Amplitude = itr->m_Amplitude; + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] += a_Workspace[i] * Amplitude; + } + } // for itr - m_Octaves[] + } + + + /** 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 + NOISE_DATATYPE * a_Workspace = nullptr ///< Workspace that this function can use and trash, same size as a_Array + ) const + { + // Check that state is alright: + if (m_Octaves.empty()) + { + ASSERT(!"cOctavedNoise: No octaves to generate!"); + return; + } + + // Allocate the workspace on the heap, if it wasn't given: + std::unique_ptr<NOISE_DATATYPE[]> workspaceHeap; + if (a_Workspace == nullptr) + { + workspaceHeap.reset(new NOISE_DATATYPE[a_SizeX * a_SizeY * a_SizeZ]); + a_Workspace = workspaceHeap.get(); + } + + // Generate the first octave directly into array: + const cOctave & FirstOctave = m_Octaves.front(); + int ArrayCount = a_SizeX * a_SizeY * a_SizeZ; + FirstOctave.m_Noise.Generate3D( + a_Workspace, a_SizeX, a_SizeY, a_SizeZ, + a_StartX * FirstOctave.m_Frequency, a_EndX * FirstOctave.m_Frequency, + a_StartY * FirstOctave.m_Frequency, a_EndY * FirstOctave.m_Frequency, + a_StartZ * FirstOctave.m_Frequency, a_EndZ * FirstOctave.m_Frequency + ); + NOISE_DATATYPE Amplitude = FirstOctave.m_Amplitude; + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] = a_Workspace[i] * Amplitude; + } + + // Add each octave: + for (auto itr = m_Octaves.cbegin() + 1, end = m_Octaves.cend(); itr != end; ++itr) + { + // Generate the noise for the octave: + itr->m_Noise.Generate3D( + a_Workspace, a_SizeX, a_SizeY, a_SizeZ, + a_StartX * itr->m_Frequency, a_EndX * itr->m_Frequency, + a_StartY * itr->m_Frequency, a_EndY * itr->m_Frequency, + a_StartZ * itr->m_Frequency, a_EndZ * itr->m_Frequency + ); + // Add it into the output: + NOISE_DATATYPE Amplitude = itr->m_Amplitude; + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] += a_Workspace[i] * Amplitude; + } + } // for itr - m_Octaves[] + } + +protected: + /** Stores information and state for one octave of the noise. */ + class cOctave + { + public: + N m_Noise; + + /** Coord multiplier. */ + NOISE_DATATYPE m_Frequency; + + /** Value multiplier. */ + NOISE_DATATYPE m_Amplitude; + + 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; + + + /** The seed used by the underlying generators. */ + int m_Seed; + + /** The octaves that compose this noise. */ + cOctaves m_Octaves; +}; + + + + diff --git a/src/Noise/RidgedNoise.h b/src/Noise/RidgedNoise.h new file mode 100644 index 000000000..69b480f60 --- /dev/null +++ b/src/Noise/RidgedNoise.h @@ -0,0 +1,91 @@ + +// RidgedNoise.h + +// Implements the cRidgedNoise template class that generates ridged noise based on another noise provider. + + + + + +#pragma once + + + + + +template <typename N> +class cRidgedNoise +{ +public: + /** Creates a new instance with the seed set to 0. */ + cRidgedNoise(void): + m_Noise(0) + { + } + + + /** Creates a new instance with the specified seed. */ + cRidgedNoise(int a_Seed): + m_Noise(a_Seed) + { + } + + + /** Sets the seed for the underlying noise. */ + void SetSeed(int a_Seed) + { + m_Noise.SetSeed(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 + { + int ArrayCount = a_SizeX * a_SizeY; + m_Noise.Generate2D( + a_Array, a_SizeX, a_SizeY, + a_StartX, a_EndX, + a_StartY, a_EndY + ); + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] = fabs(a_Array[i]); + } + } + + + /** 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 + { + int ArrayCount = a_SizeX * a_SizeY * a_SizeZ; + m_Noise.Generate2D( + a_Array, a_SizeX, a_SizeY, a_SizeZ, + a_StartX, a_EndX, + a_StartY, a_EndY, + a_StartZ, a_EndZ + ); + for (int i = 0; i < ArrayCount; i++) + { + a_Array[i] = fabs(a_Array[i]); + } + } + +protected: + N m_Noise; +} ; + + + + + |