From 386d58b5862d8b76925c6523721594887606e82a Mon Sep 17 00:00:00 2001 From: faketruth Date: Mon, 3 Oct 2011 18:41:19 +0000 Subject: MCServer c++ source files git-svn-id: http://mc-server.googlecode.com/svn/trunk@3 0a769ca7-a7f5-676a-18bf-c427514a06d6 --- source/cNoise.cpp | 253 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 253 insertions(+) create mode 100644 source/cNoise.cpp (limited to 'source/cNoise.cpp') diff --git a/source/cNoise.cpp b/source/cNoise.cpp new file mode 100644 index 000000000..1d321c089 --- /dev/null +++ b/source/cNoise.cpp @@ -0,0 +1,253 @@ +#include "cNoise.h" +#include + +#define FAST_FLOOR( x ) ( (x) < 0 ? ((int)x)-1 : ((int)x) ) + +cNoise::cNoise( unsigned int a_Seed ) + : m_Seed( a_Seed ) +{ +} + + +cNoise::~cNoise() +{ +} + +/**************** + * Random value generator + **/ +float cNoise::IntNoise( int a_X ) const +{ + int x = ((a_X*m_Seed)<<13) ^ a_X; + return ( 1.0f - ( (x * (x * x * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824.0f); +} + +float 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 ( 1.0f - ( (n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824.0f); +} + +float 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 ( 1.0f - ( (n * (n * n * 15731 + 789221) + 1376312589) & 0x7fffffff) / 1073741824.0f); +} + +/*************** + * Interpolated (and 1 smoothed) noise in 1-dimension + **/ +float cNoise::LinearNoise1D( float a_X ) const +{ + int BaseX = FAST_FLOOR( a_X ); + float FracX = (a_X) - BaseX; + return LinearInterpolate( IntNoise( BaseX ), IntNoise( BaseX+1 ), FracX); +} + +float cNoise::CosineNoise1D( float a_X ) const +{ + int BaseX = FAST_FLOOR( a_X ); + float FracX = (a_X) - BaseX; + return CosineInterpolate( IntNoise( BaseX ), IntNoise( BaseX+1 ), FracX); +} + +float cNoise::CubicNoise1D( float a_X ) const +{ + int BaseX = FAST_FLOOR( a_X ); + float FracX = (a_X) - BaseX; + return CubicInterpolate( IntNoise( BaseX-1 ), IntNoise( BaseX ), IntNoise( BaseX+1 ), IntNoise( BaseX+2 ), FracX); +} + +float cNoise::SmoothNoise1D( int a_X ) const +{ + return IntNoise(a_X)/2 + IntNoise(a_X-1)/4 + IntNoise(a_X+1)/4; +} + +/****************** + * Interpolated (and 1 smoothed) noise in 2-dimensions + **/ +float cNoise::LinearNoise2D( float a_X, float a_Y ) const +{ + const int BaseX = FAST_FLOOR( a_X ); + const int BaseY = FAST_FLOOR( a_Y ); + + const float tl = IntNoise2D( BaseX, BaseY ); + const float tr = IntNoise2D( BaseX+1, BaseY ); + const float bl = IntNoise2D( BaseX, BaseY+1 ); + const float br = IntNoise2D( BaseX+1, BaseY+1 ); + + const float FracX = (a_X) - BaseX; + const float interp1 = LinearInterpolate( tl, tr, FracX ); + const float interp2 = LinearInterpolate( bl, br, FracX ); + + const float FracY = (a_Y) - BaseY; + return LinearInterpolate( interp1, interp2, FracY ); +} + +float cNoise::CosineNoise2D( float a_X, float a_Y ) const +{ + const int BaseX = FAST_FLOOR( a_X ); + const int BaseY = FAST_FLOOR( a_Y ); + + const float tl = IntNoise2D( BaseX, BaseY ); + const float tr = IntNoise2D( BaseX+1, BaseY ); + const float bl = IntNoise2D( BaseX, BaseY+1 ); + const float br = IntNoise2D( BaseX+1, BaseY+1 ); + + const float FracX = (a_X) - BaseX; + const float interp1 = CosineInterpolate( tl, tr, FracX ); + const float interp2 = CosineInterpolate( bl, br, FracX ); + + const float FracY = (a_Y) - BaseY; + return CosineInterpolate( interp1, interp2, FracY ); +} + +float cNoise::CubicNoise2D( float a_X, float a_Y ) const +{ + const int BaseX = FAST_FLOOR( a_X ); + const int BaseY = FAST_FLOOR( a_Y ); + + const float 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 float FracX = (a_X) - BaseX; + const float interp1 = CubicInterpolate( points[0][0], points[0][1], points[0][2], points[0][3], FracX ); + const float interp2 = CubicInterpolate( points[1][0], points[1][1], points[1][2], points[1][3], FracX ); + const float interp3 = CubicInterpolate( points[2][0], points[2][1], points[2][2], points[2][3], FracX ); + const float interp4 = CubicInterpolate( points[3][0], points[3][1], points[3][2], points[3][3], FracX ); + + + const float FracY = (a_Y) - BaseY; + return CubicInterpolate( interp1, interp2, interp3, interp4, FracY ); +} + +/****************** + * Interpolated (and 1 smoothed) noise in 3-dimensions + **/ +float cNoise::CosineNoise3D( float a_X, float a_Y, float 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 float ftl = IntNoise3D( BaseX, BaseY, BaseZ ); + const float ftr = IntNoise3D( BaseX+1, BaseY, BaseZ ); + const float fbl = IntNoise3D( BaseX, BaseY+1, BaseZ ); + const float fbr = IntNoise3D( BaseX+1, BaseY+1, BaseZ ); + + const float btl = IntNoise3D( BaseX, BaseY, BaseZ+1 ); + const float btr = IntNoise3D( BaseX+1, BaseY, BaseZ+1 ); + const float bbl = IntNoise3D( BaseX, BaseY+1, BaseZ+1 ); + const float bbr = IntNoise3D( BaseX+1, BaseY+1, BaseZ+1 ); + + const float FracX = (a_X) - BaseX; + const float finterp1 = CosineInterpolate( ftl, ftr, FracX ); + const float finterp2 = CosineInterpolate( fbl, fbr, FracX ); + const float binterp1 = CosineInterpolate( btl, btr, FracX ); + const float binterp2 = CosineInterpolate( bbl, bbr, FracX ); + + const float FracY = (a_Y) - BaseY; + const float interp1 = CosineInterpolate( finterp1, finterp2, FracY ); + const float interp2 = CosineInterpolate( binterp1, binterp2, FracY ); + + const float FracZ = (a_Z) - BaseZ; + return CosineInterpolate( interp1, interp2, FracZ ); +} + +float cNoise::CubicNoise3D( float a_X, float a_Y, float 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 float 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 float FracX = (a_X) - BaseX; + const float x1interp1 = CubicInterpolate( points1[0][0], points1[0][1], points1[0][2], points1[0][3], FracX ); + const float x1interp2 = CubicInterpolate( points1[1][0], points1[1][1], points1[1][2], points1[1][3], FracX ); + const float x1interp3 = CubicInterpolate( points1[2][0], points1[2][1], points1[2][2], points1[2][3], FracX ); + const float x1interp4 = CubicInterpolate( points1[3][0], points1[3][1], points1[3][2], points1[3][3], FracX ); + + const float 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 float x2interp1 = CubicInterpolate( points2[0][0], points2[0][1], points2[0][2], points2[0][3], FracX ); + const float x2interp2 = CubicInterpolate( points2[1][0], points2[1][1], points2[1][2], points2[1][3], FracX ); + const float x2interp3 = CubicInterpolate( points2[2][0], points2[2][1], points2[2][2], points2[2][3], FracX ); + const float x2interp4 = CubicInterpolate( points2[3][0], points2[3][1], points2[3][2], points2[3][3], FracX ); + + const float 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 float x3interp1 = CubicInterpolate( points3[0][0], points3[0][1], points3[0][2], points3[0][3], FracX ); + const float x3interp2 = CubicInterpolate( points3[1][0], points3[1][1], points3[1][2], points3[1][3], FracX ); + const float x3interp3 = CubicInterpolate( points3[2][0], points3[2][1], points3[2][2], points3[2][3], FracX ); + const float x3interp4 = CubicInterpolate( points3[3][0], points3[3][1], points3[3][2], points3[3][3], FracX ); + + const float 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 float x4interp1 = CubicInterpolate( points4[0][0], points4[0][1], points4[0][2], points4[0][3], FracX ); + const float x4interp2 = CubicInterpolate( points4[1][0], points4[1][1], points4[1][2], points4[1][3], FracX ); + const float x4interp3 = CubicInterpolate( points4[2][0], points4[2][1], points4[2][2], points4[2][3], FracX ); + const float x4interp4 = CubicInterpolate( points4[3][0], points4[3][1], points4[3][2], points4[3][3], FracX ); + + const float FracY = (a_Y) - BaseY; + const float yinterp1 = CubicInterpolate( x1interp1, x1interp2, x1interp3, x1interp4, FracY ); + const float yinterp2 = CubicInterpolate( x2interp1, x2interp2, x2interp3, x2interp4, FracY ); + const float yinterp3 = CubicInterpolate( x3interp1, x3interp2, x3interp3, x3interp4, FracY ); + const float yinterp4 = CubicInterpolate( x4interp1, x4interp2, x4interp3, x4interp4, FracY ); + + const float FracZ = (a_Z) - BaseZ; + return CubicInterpolate( yinterp1, yinterp2, yinterp3, yinterp4, FracZ ); +} + +/****************** + * Private + **/ +float cNoise::CubicInterpolate( float a_A, float a_B, float a_C, float a_D, float a_Pct ) const +{ + float P = (a_D - a_C) - (a_A - a_B); + float Q = (a_A - a_B) - P; + float R = a_C - a_A; + float S = a_B; + + return P*(a_Pct*a_Pct*a_Pct) + Q*(a_Pct*a_Pct) + R*a_Pct + S; +} + +float cNoise::CosineInterpolate( float a_A, float a_B, float a_Pct ) const +{ + const float ft = a_Pct * 3.1415927f; + const float f = (1.f - cosf(ft)) * 0.5f; + return a_A*(1-f) + a_B*f; +} + +float cNoise::LinearInterpolate( float a_A, float a_B, float a_Pct ) const +{ + return a_A*(1.f-a_Pct) + a_B*a_Pct; +} \ No newline at end of file -- cgit v1.2.3