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Diffstat (limited to 'src/Noise/Noise.cpp')
| -rw-r--r-- | src/Noise/Noise.cpp | 1029 |
1 files changed, 1029 insertions, 0 deletions
diff --git a/src/Noise/Noise.cpp b/src/Noise/Noise.cpp new file mode 100644 index 000000000..509be7d6c --- /dev/null +++ b/src/Noise/Noise.cpp @@ -0,0 +1,1029 @@ + +#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)) + + + + + +#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, NOISE_DATATYPE a_Coeff) +{ + const int BUF_SIZE = 512; + ASSERT(a_SizeX <= BUF_SIZE); // Just stretch it, if needed + + // Save in XY cuts: + cFile f1; + if (f1.Open(Printf("%s_XY (%d).grab", a_FileNameBase.c_str(), a_SizeX), cFile::fmWrite)) + { + for (int z = 0; z < a_SizeZ; z++) + { + for (int y = 0; y < a_SizeY; y++) + { + int idx = y * a_SizeX + z * a_SizeX * a_SizeY; + unsigned char buf[BUF_SIZE]; + for (int x = 0; x < a_SizeX; x++) + { + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); + } + f1.Write(buf, a_SizeX); + } // for y + unsigned char buf[BUF_SIZE]; + memset(buf, 0, a_SizeX); + f1.Write(buf, a_SizeX); + } // for z + } // if (XY file open) + + cFile f2; + if (f2.Open(Printf("%s_XZ (%d).grab", a_FileNameBase.c_str(), a_SizeX), cFile::fmWrite)) + { + for (int y = 0; y < a_SizeY; y++) + { + for (int z = 0; z < a_SizeZ; z++) + { + int idx = y * a_SizeX + z * a_SizeX * a_SizeY; + unsigned char buf[BUF_SIZE]; + for (int x = 0; x < a_SizeX; x++) + { + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); + } + f2.Write(buf, a_SizeX); + } // for z + unsigned char buf[BUF_SIZE]; + memset(buf, 0, a_SizeX); + f2.Write(buf, a_SizeX); + } // for y + } // if (XZ file open) +} + + + + + +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 + + cFile f1; + if (f1.Open(Printf("%s (%d).grab", a_FileNameBase.c_str(), a_SizeX), cFile::fmWrite)) + { + for (int y = 0; y < a_SizeY; y++) + { + int idx = y * a_SizeX; + unsigned char buf[BUF_SIZE]; + for (int x = 0; x < a_SizeX; x++) + { + buf[x] = static_cast<unsigned char>(Clamp((int)(128 + a_Coeff * a_Noise[idx++]), 0, 255)); + } + f1.Write(buf, a_SizeX); + } // for y + } // if (file open) +} + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cCubicCell2D: + +class cCubicCell2D +{ +public: + cCubicCell2D( + 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 + ); + + /// Uses current m_WorkRnds[] to generate part of the array + void Generate( + int a_FromX, int a_ToX, + int a_FromY, int a_ToY + ); + + /// Initializes m_WorkRnds[] with the specified Floor values + void InitWorkRnds(int a_FloorX, int a_FloorY); + + /// Updates m_WorkRnds[] for the new Floor values. + void Move(int a_NewFloorX, int a_NewFloorY); + +protected: + typedef NOISE_DATATYPE Workspace[4][4]; + + const cNoise & m_Noise; + + Workspace * m_WorkRnds; ///< The current random values; points to either m_Workspace1 or m_Workspace2 (doublebuffering) + Workspace m_Workspace1; ///< Buffer 1 for workspace doublebuffering, used in Move() + Workspace m_Workspace2; ///< Buffer 2 for workspace doublebuffering, used in Move() + int m_CurFloorX; + int m_CurFloorY; + + NOISE_DATATYPE * m_Array; + int m_SizeX, m_SizeY; + const NOISE_DATATYPE * m_FracX; + const NOISE_DATATYPE * m_FracY; +} ; + + + + + +cCubicCell2D::cCubicCell2D( + 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) +{ +} + + + + + +void cCubicCell2D::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[4]; + NOISE_DATATYPE FracY = m_FracY[y]; + Interp[0] = cNoise::CubicInterpolate((*m_WorkRnds)[0][0], (*m_WorkRnds)[0][1], (*m_WorkRnds)[0][2], (*m_WorkRnds)[0][3], FracY); + Interp[1] = cNoise::CubicInterpolate((*m_WorkRnds)[1][0], (*m_WorkRnds)[1][1], (*m_WorkRnds)[1][2], (*m_WorkRnds)[1][3], FracY); + Interp[2] = cNoise::CubicInterpolate((*m_WorkRnds)[2][0], (*m_WorkRnds)[2][1], (*m_WorkRnds)[2][2], (*m_WorkRnds)[2][3], FracY); + Interp[3] = cNoise::CubicInterpolate((*m_WorkRnds)[3][0], (*m_WorkRnds)[3][1], (*m_WorkRnds)[3][2], (*m_WorkRnds)[3][3], FracY); + int idx = y * m_SizeX + a_FromX; + for (int x = a_FromX; x < a_ToX; x++) + { + m_Array[idx++] = cNoise::CubicInterpolate(Interp[0], Interp[1], Interp[2], Interp[3], m_FracX[x]); + } // for x + } // for y +} + + + + + +void cCubicCell2D::InitWorkRnds(int a_FloorX, int a_FloorY) +{ + m_CurFloorX = a_FloorX; + m_CurFloorY = a_FloorY; + for (int x = 0; x < 4; x++) + { + int cx = a_FloorX + x - 1; + for (int y = 0; y < 4; y++) + { + int cy = a_FloorY + y - 1; + (*m_WorkRnds)[x][y] = (NOISE_DATATYPE)m_Noise.IntNoise2D(cx, cy); + } + } +} + + + + + +void cCubicCell2D::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: + int DiffX = OldFloorX - a_NewFloorX; + int DiffY = OldFloorY - a_NewFloorY; + for (int x = 0; x < 4; x++) + { + int cx = a_NewFloorX + x - 1; + int OldX = x - DiffX; // Where would this X be in the old grid? + for (int y = 0; y < 4; y++) + { + int cy = a_NewFloorY + y - 1; + int OldY = y - DiffY; // Where would this Y be in the old grid? + if ((OldX >= 0) && (OldX < 4) && (OldY >= 0) && (OldY < 4)) + { + (*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; +} + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cCubicCell3D: + +class cCubicCell3D +{ +public: + cCubicCell3D( + 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 + ); + + /// Uses current m_WorkRnds[] to generate part of the array + void Generate( + int a_FromX, int a_ToX, + int a_FromY, int a_ToY, + int a_FromZ, int a_ToZ + ); + + /// Initializes m_WorkRnds[] with the specified Floor values + void InitWorkRnds(int a_FloorX, int a_FloorY, int a_FloorZ); + + /// Updates m_WorkRnds[] for the new Floor values. + void Move(int a_NewFloorX, int a_NewFloorY, int a_NewFloorZ); + +protected: + typedef NOISE_DATATYPE Workspace[4][4][4]; + + const cNoise & m_Noise; + + Workspace * m_WorkRnds; ///< The current random values; points to either m_Workspace1 or m_Workspace2 (doublebuffering) + Workspace m_Workspace1; ///< Buffer 1 for workspace doublebuffering, used in Move() + Workspace m_Workspace2; ///< Buffer 2 for workspace doublebuffering, used in Move() + int m_CurFloorX; + int m_CurFloorY; + int m_CurFloorZ; + + NOISE_DATATYPE * m_Array; + int m_SizeX, m_SizeY, m_SizeZ; + const NOISE_DATATYPE * m_FracX; + const NOISE_DATATYPE * m_FracY; + const NOISE_DATATYPE * m_FracZ; +} ; + + + + + +cCubicCell3D::cCubicCell3D( + 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) +{ +} + + + + + +void cCubicCell3D::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[4][4]; + NOISE_DATATYPE FracZ = m_FracZ[z]; + for (int x = 0; x < 4; x++) + { + for (int y = 0; y < 4; y++) + { + Interp2[x][y] = cNoise::CubicInterpolate((*m_WorkRnds)[x][y][0], (*m_WorkRnds)[x][y][1], (*m_WorkRnds)[x][y][2], (*m_WorkRnds)[x][y][3], FracZ); + } + } + for (int y = a_FromY; y < a_ToY; y++) + { + NOISE_DATATYPE Interp[4]; + NOISE_DATATYPE FracY = m_FracY[y]; + Interp[0] = cNoise::CubicInterpolate(Interp2[0][0], Interp2[0][1], Interp2[0][2], Interp2[0][3], FracY); + Interp[1] = cNoise::CubicInterpolate(Interp2[1][0], Interp2[1][1], Interp2[1][2], Interp2[1][3], FracY); + Interp[2] = cNoise::CubicInterpolate(Interp2[2][0], Interp2[2][1], Interp2[2][2], Interp2[2][3], FracY); + Interp[3] = cNoise::CubicInterpolate(Interp2[3][0], Interp2[3][1], Interp2[3][2], Interp2[3][3], FracY); + int idx = idxZ + y * m_SizeX + a_FromX; + for (int x = a_FromX; x < a_ToX; x++) + { + m_Array[idx++] = cNoise::CubicInterpolate(Interp[0], Interp[1], Interp[2], Interp[3], m_FracX[x]); + } // for x + } // for y + } // for z +} + + + + + +void cCubicCell3D::InitWorkRnds(int a_FloorX, int a_FloorY, int a_FloorZ) +{ + m_CurFloorX = a_FloorX; + m_CurFloorY = a_FloorY; + m_CurFloorZ = a_FloorZ; + for (int x = 0; x < 4; x++) + { + int cx = a_FloorX + x - 1; + for (int y = 0; y < 4; y++) + { + int cy = a_FloorY + y - 1; + for (int z = 0; z < 4; z++) + { + int cz = a_FloorZ + z - 1; + (*m_WorkRnds)[x][y][z] = (NOISE_DATATYPE)m_Noise.IntNoise3D(cx, cy, cz); + } + } + } +} + + + + + +void cCubicCell3D::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: + int DiffX = OldFloorX - a_NewFloorX; + int DiffY = OldFloorY - a_NewFloorY; + int DiffZ = OldFloorZ - a_NewFloorZ; + for (int x = 0; x < 4; x++) + { + int cx = a_NewFloorX + x - 1; + int OldX = x - DiffX; // Where would this X be in the old grid? + for (int y = 0; y < 4; y++) + { + int cy = a_NewFloorY + y - 1; + int OldY = y - DiffY; // Where would this Y be in the old grid? + for (int z = 0; z < 4; z++) + { + int cz = a_NewFloorZ + z - 1; + int OldZ = z - DiffZ; + if ((OldX >= 0) && (OldX < 4) && (OldY >= 0) && (OldY < 4) && (OldZ >= 0) && (OldZ < 4)) + { + (*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; +} + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cNoise: + +cNoise::cNoise(int a_Seed) : + m_Seed(a_Seed) +{ +} + + + + + +cNoise::cNoise(const cNoise & a_Noise) : + m_Seed(a_Noise.m_Seed) +{ +} + + + + + +NOISE_DATATYPE cNoise::LinearNoise1D(NOISE_DATATYPE a_X) const +{ + int BaseX = FAST_FLOOR(a_X); + NOISE_DATATYPE FracX = a_X - BaseX; + return LinearInterpolate(IntNoise1D(BaseX), IntNoise1D(BaseX + 1), FracX); +} + + + + + +NOISE_DATATYPE cNoise::CosineNoise1D(NOISE_DATATYPE a_X) const +{ + int BaseX = FAST_FLOOR(a_X); + NOISE_DATATYPE FracX = a_X - BaseX; + return CosineInterpolate(IntNoise1D(BaseX), IntNoise1D(BaseX + 1), FracX); +} + + + + + +NOISE_DATATYPE cNoise::CubicNoise1D(NOISE_DATATYPE a_X) const +{ + int BaseX = FAST_FLOOR(a_X); + NOISE_DATATYPE FracX = a_X - BaseX; + return CubicInterpolate(IntNoise1D(BaseX - 1), IntNoise1D(BaseX), IntNoise1D(BaseX + 1), IntNoise1D(BaseX + 2), FracX); +} + + + + + +NOISE_DATATYPE cNoise::SmoothNoise1D(int a_X) const +{ + return IntNoise1D(a_X) / 2 + IntNoise1D(a_X - 1) / 4 + IntNoise1D(a_X + 1) / 4; +} + + + + + +NOISE_DATATYPE cNoise::CubicNoise2D(NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y) const +{ + const int BaseX = FAST_FLOOR(a_X); + const int BaseY = FAST_FLOOR(a_Y); + + const NOISE_DATATYPE points[4][4] = + { + { IntNoise2D(BaseX - 1, BaseY - 1), IntNoise2D(BaseX, BaseY - 1), IntNoise2D(BaseX + 1, BaseY - 1), IntNoise2D(BaseX + 2, BaseY - 1), }, + { IntNoise2D(BaseX - 1, BaseY), IntNoise2D(BaseX, BaseY), IntNoise2D(BaseX + 1, BaseY), IntNoise2D(BaseX + 2, BaseY), }, + { IntNoise2D(BaseX - 1, BaseY + 1), IntNoise2D(BaseX, BaseY + 1), IntNoise2D(BaseX + 1, BaseY + 1), IntNoise2D(BaseX + 2, BaseY + 1), }, + { IntNoise2D(BaseX - 1, BaseY + 2), IntNoise2D(BaseX, BaseY + 2), IntNoise2D(BaseX + 1, BaseY + 2), IntNoise2D(BaseX + 2, BaseY + 2), }, + }; + + const NOISE_DATATYPE FracX = a_X - BaseX; + const NOISE_DATATYPE interp1 = CubicInterpolate(points[0][0], points[0][1], points[0][2], points[0][3], FracX); + const NOISE_DATATYPE interp2 = CubicInterpolate(points[1][0], points[1][1], points[1][2], points[1][3], FracX); + const NOISE_DATATYPE interp3 = CubicInterpolate(points[2][0], points[2][1], points[2][2], points[2][3], FracX); + const NOISE_DATATYPE interp4 = CubicInterpolate(points[3][0], points[3][1], points[3][2], points[3][3], FracX); + + + const NOISE_DATATYPE FracY = a_Y - BaseY; + return CubicInterpolate(interp1, interp2, interp3, interp4, FracY); +} + + + + + +NOISE_DATATYPE cNoise::CubicNoise3D(NOISE_DATATYPE a_X, NOISE_DATATYPE a_Y, NOISE_DATATYPE a_Z) const +{ + const int BaseX = FAST_FLOOR(a_X); + const int BaseY = FAST_FLOOR(a_Y); + const int BaseZ = FAST_FLOOR(a_Z); + + const NOISE_DATATYPE points1[4][4] = + { + { IntNoise3D(BaseX - 1, BaseY - 1, BaseZ - 1), IntNoise3D(BaseX, BaseY - 1, BaseZ - 1), IntNoise3D(BaseX + 1, BaseY - 1, BaseZ - 1), IntNoise3D(BaseX + 2, BaseY - 1, BaseZ - 1), }, + { IntNoise3D(BaseX - 1, BaseY, BaseZ - 1), IntNoise3D(BaseX, BaseY, BaseZ - 1), IntNoise3D(BaseX + 1, BaseY, BaseZ - 1), IntNoise3D(BaseX + 2, BaseY, BaseZ - 1), }, + { IntNoise3D(BaseX - 1, BaseY + 1, BaseZ - 1), IntNoise3D(BaseX, BaseY + 1, BaseZ - 1), IntNoise3D(BaseX + 1, BaseY + 1, BaseZ - 1), IntNoise3D(BaseX + 2, BaseY + 1, BaseZ - 1), }, + { IntNoise3D(BaseX - 1, BaseY + 2, BaseZ - 1), IntNoise3D(BaseX, BaseY + 2, BaseZ - 1), IntNoise3D(BaseX + 1, BaseY + 2, BaseZ - 1), IntNoise3D(BaseX + 2, BaseY + 2, BaseZ - 1), }, + }; + + const NOISE_DATATYPE FracX = (a_X) - BaseX; + const NOISE_DATATYPE x1interp1 = CubicInterpolate( points1[0][0], points1[0][1], points1[0][2], points1[0][3], FracX); + const NOISE_DATATYPE x1interp2 = CubicInterpolate( points1[1][0], points1[1][1], points1[1][2], points1[1][3], FracX); + const NOISE_DATATYPE x1interp3 = CubicInterpolate( points1[2][0], points1[2][1], points1[2][2], points1[2][3], FracX); + const NOISE_DATATYPE x1interp4 = CubicInterpolate( points1[3][0], points1[3][1], points1[3][2], points1[3][3], FracX); + + const NOISE_DATATYPE points2[4][4] = + { + { IntNoise3D(BaseX - 1, BaseY - 1, BaseZ), IntNoise3D(BaseX, BaseY - 1, BaseZ), IntNoise3D(BaseX + 1, BaseY - 1, BaseZ), IntNoise3D(BaseX + 2, BaseY - 1, BaseZ), }, + { IntNoise3D(BaseX - 1, BaseY, BaseZ), IntNoise3D(BaseX, BaseY, BaseZ), IntNoise3D(BaseX + 1, BaseY, BaseZ), IntNoise3D(BaseX + 2, BaseY, BaseZ), }, + { IntNoise3D(BaseX - 1, BaseY + 1, BaseZ), IntNoise3D(BaseX, BaseY + 1, BaseZ), IntNoise3D(BaseX + 1, BaseY + 1, BaseZ), IntNoise3D(BaseX + 2, BaseY + 1, BaseZ), }, + { IntNoise3D(BaseX - 1, BaseY + 2, BaseZ), IntNoise3D(BaseX, BaseY + 2, BaseZ), IntNoise3D(BaseX + 1, BaseY + 2, BaseZ), IntNoise3D(BaseX + 2, BaseY + 2, BaseZ), }, + }; + + const NOISE_DATATYPE x2interp1 = CubicInterpolate( points2[0][0], points2[0][1], points2[0][2], points2[0][3], FracX); + const NOISE_DATATYPE x2interp2 = CubicInterpolate( points2[1][0], points2[1][1], points2[1][2], points2[1][3], FracX); + const NOISE_DATATYPE x2interp3 = CubicInterpolate( points2[2][0], points2[2][1], points2[2][2], points2[2][3], FracX); + const NOISE_DATATYPE x2interp4 = CubicInterpolate( points2[3][0], points2[3][1], points2[3][2], points2[3][3], FracX); + + const NOISE_DATATYPE points3[4][4] = + { + { IntNoise3D( BaseX-1, BaseY-1, BaseZ+1), IntNoise3D( BaseX, BaseY-1, BaseZ+1), IntNoise3D( BaseX+1, BaseY-1, BaseZ+1), IntNoise3D( BaseX+2, BaseY-1, BaseZ + 1), }, + { IntNoise3D( BaseX-1, BaseY, BaseZ+1), IntNoise3D( BaseX, BaseY, BaseZ+1), IntNoise3D( BaseX+1, BaseY, BaseZ+1), IntNoise3D( BaseX+2, BaseY, BaseZ + 1), }, + { IntNoise3D( BaseX-1, BaseY+1, BaseZ+1), IntNoise3D( BaseX, BaseY+1, BaseZ+1), IntNoise3D( BaseX+1, BaseY+1, BaseZ+1), IntNoise3D( BaseX+2, BaseY+1, BaseZ + 1), }, + { IntNoise3D( BaseX-1, BaseY+2, BaseZ+1), IntNoise3D( BaseX, BaseY+2, BaseZ+1), IntNoise3D( BaseX+1, BaseY+2, BaseZ+1), IntNoise3D( BaseX+2, BaseY+2, BaseZ + 1), }, + }; + + const NOISE_DATATYPE x3interp1 = CubicInterpolate( points3[0][0], points3[0][1], points3[0][2], points3[0][3], FracX); + const NOISE_DATATYPE x3interp2 = CubicInterpolate( points3[1][0], points3[1][1], points3[1][2], points3[1][3], FracX); + const NOISE_DATATYPE x3interp3 = CubicInterpolate( points3[2][0], points3[2][1], points3[2][2], points3[2][3], FracX); + const NOISE_DATATYPE x3interp4 = CubicInterpolate( points3[3][0], points3[3][1], points3[3][2], points3[3][3], FracX); + + const NOISE_DATATYPE points4[4][4] = + { + { IntNoise3D( BaseX-1, BaseY-1, BaseZ+2), IntNoise3D( BaseX, BaseY-1, BaseZ+2), IntNoise3D( BaseX+1, BaseY-1, BaseZ+2), IntNoise3D( BaseX+2, BaseY-1, BaseZ+2), }, + { IntNoise3D( BaseX-1, BaseY, BaseZ+2), IntNoise3D( BaseX, BaseY, BaseZ+2), IntNoise3D( BaseX+1, BaseY, BaseZ+2), IntNoise3D( BaseX+2, BaseY, BaseZ+2), }, + { IntNoise3D( BaseX-1, BaseY+1, BaseZ+2), IntNoise3D( BaseX, BaseY+1, BaseZ+2), IntNoise3D( BaseX+1, BaseY+1, BaseZ+2), IntNoise3D( BaseX+2, BaseY+1, BaseZ+2), }, + { IntNoise3D( BaseX-1, BaseY+2, BaseZ+2), IntNoise3D( BaseX, BaseY+2, BaseZ+2), IntNoise3D( BaseX+1, BaseY+2, BaseZ+2), IntNoise3D( BaseX+2, BaseY+2, BaseZ+2), }, + }; + + const NOISE_DATATYPE x4interp1 = CubicInterpolate( points4[0][0], points4[0][1], points4[0][2], points4[0][3], FracX); + const NOISE_DATATYPE x4interp2 = CubicInterpolate( points4[1][0], points4[1][1], points4[1][2], points4[1][3], FracX); + const NOISE_DATATYPE x4interp3 = CubicInterpolate( points4[2][0], points4[2][1], points4[2][2], points4[2][3], FracX); + const NOISE_DATATYPE x4interp4 = CubicInterpolate( points4[3][0], points4[3][1], points4[3][2], points4[3][3], FracX); + + const NOISE_DATATYPE FracY = (a_Y) - BaseY; + const NOISE_DATATYPE yinterp1 = CubicInterpolate( x1interp1, x1interp2, x1interp3, x1interp4, FracY); + const NOISE_DATATYPE yinterp2 = CubicInterpolate( x2interp1, x2interp2, x2interp3, x2interp4, FracY); + const NOISE_DATATYPE yinterp3 = CubicInterpolate( x3interp1, x3interp2, x3interp3, x3interp4, FracY); + const NOISE_DATATYPE yinterp4 = CubicInterpolate( x4interp1, x4interp2, x4interp3, x4interp4, FracY); + + const NOISE_DATATYPE FracZ = (a_Z) - BaseZ; + return CubicInterpolate( yinterp1, yinterp2, yinterp3, yinterp4, FracZ); +} + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cCubicNoise: + +cCubicNoise::cCubicNoise(int a_Seed) : + m_Noise(a_Seed) +{ +} + + + + + +void cCubicNoise::Generate2D( + NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y] + int a_SizeX, int a_SizeY, ///< Size of the array (num doubles), 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); + + cCubicCell2D 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; + } + Cell.Move(FloorX[0], FloorY[ToY]); + FromY = ToY; + } +} + + + + + +void cCubicNoise::Generate3D( + NOISE_DATATYPE * a_Array, ///< Array to generate into [x + a_SizeX * y] + int a_SizeX, int a_SizeY, int a_SizeZ, ///< Size of the array (num doubles), 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 Y direction +) const +{ + 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); + + cCubicCell3D 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 +} + + + + + +void cCubicNoise::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); + + 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; + } +} + + + + + +//////////////////////////////////////////////////////////////////////////////// +// cImprovedNoise: + +cImprovedNoise::cImprovedNoise(int a_Seed) +{ + // Initialize the permutations with identity: + for (int i = 0; i < 256; i++) + { + m_Perm[i] = i; + } + + // Randomize the permutation table - swap each element with a random other element: + cNoise noise(a_Seed); + for (int i = 0; i < 256; i++) + { + int rnd = (noise.IntNoise1DInt(i) / 7) % 256; + std::swap(m_Perm[i], m_Perm[rnd]); + } + + // Copy the lower 256 entries into upper 256 entries: + for (int i = 0; i < 256; i++) + { + m_Perm[i + 256] = m_Perm[i]; + } +} + + + + + +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 +{ + size_t idx = 0; + for (int y = 0; y < a_SizeY; y++) + { + 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]; + 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 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 +{ + size_t idx = 0; + for (int z = 0; z < a_SizeZ; z++) + { + 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++) + { + 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 +} + + + + + +NOISE_DATATYPE cImprovedNoise::GetValueAt(int a_X, int a_Y, int a_Z) +{ + // 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); +} + + + + + |