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-rw-r--r--source/cNoise.cpp253
1 files changed, 253 insertions, 0 deletions
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 <math.h>
+
+#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
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