164 lines
6.1 KiB
C++
164 lines
6.1 KiB
C++
// Copyright (C) 2012 Rémi Bèges
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// This file is part of the "Nazara Engine".
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// For conditions of distribution and use, see copyright notice in Config.hpp
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#include <Nazara/Core/Error.hpp>
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#include <Nazara/Noise/Config.hpp>
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#include <Nazara/Noise/Debug.hpp>
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template <typename T>
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NzSimplex4D<T>::NzSimplex4D()
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{
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SkewCoeff4D = (sqrt(5.) - 1.)/4.;
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UnskewCoeff4D = (5. - sqrt(5.))/20.;
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int lookupTemp4D[][4] =
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{
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{0,1,2,3},{0,1,3,2},{0,0,0,0},{0,2,3,1},{0,0,0,0},{0,0,0,0},{0,0,0,0},{1,2,3,0},
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{0,2,1,3},{0,0,0,0},{0,3,1,2},{0,3,2,1},{0,0,0,0},{0,0,0,0},{0,0,0,0},{1,3,2,0},
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{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},
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{1,2,0,3},{0,0,0,0},{1,3,0,2},{0,0,0,0},{0,0,0,0},{0,0,0,0},{2,3,0,1},{2,3,1,0},
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{1,0,2,3},{1,0,3,2},{0,0,0,0},{0,0,0,0},{0,0,0,0},{2,0,3,1},{0,0,0,0},{2,1,3,0},
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{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},{0,0,0,0},
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{2,0,1,3},{0,0,0,0},{0,0,0,0},{0,0,0,0},{3,0,1,2},{3,0,2,1},{0,0,0,0},{3,1,2,0},
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{2,1,0,3},{0,0,0,0},{0,0,0,0},{0,0,0,0},{3,1,0,2},{0,0,0,0},{3,2,0,1},{3,2,1,0}
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};
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for(int i(0) ; i < 64 ; ++i)
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for(int j(0) ; j < 4 ; ++j)
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lookupTable4D[i][j] = lookupTemp4D[i][j];
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int grad4Temp[][4] =
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{
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{0,1,1,1}, {0,1,1,-1}, {0,1,-1,1}, {0,1,-1,-1},
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{0,-1,1,1},{0,-1,1,-1},{0,-1,-1,1},{0,-1,-1,-1},
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{1,0,1,1}, {1,0,1,-1}, {1,0,-1,1}, {1,0,-1,-1},
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{-1,0,1,1},{-1,0,1,-1},{-1,0,-1,1},{-1,0,-1,-1},
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{1,1,0,1}, {1,1,0,-1}, {1,-1,0,1}, {1,-1,0,-1},
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{-1,1,0,1},{-1,1,0,-1},{-1,-1,0,1},{-1,-1,0,-1},
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{1,1,1,0}, {1,1,-1,0}, {1,-1,1,0}, {1,-1,-1,0},
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{-1,1,1,0},{-1,1,-1,0},{-1,-1,1,0},{-1,-1,-1,0}
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};
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for(int i(0) ; i < 32 ; ++i)
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for(int j(0) ; j < 4 ; ++j)
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gradient4[i][j] = grad4Temp[i][j];
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}
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template <typename T>
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T NzSimplex4D<T>::GetValue(T x, T y, T z, T w, T res)
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{
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x /= res;
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y /= res;
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z /= res;
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w /= res;
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sum = (x + y + z + w) * SkewCoeff4D;
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skewedCubeOrigin.x = fastfloor(x + sum);
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skewedCubeOrigin.y = fastfloor(y + sum);
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skewedCubeOrigin.z = fastfloor(z + sum);
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skewedCubeOrigin.w = fastfloor(w + sum);
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sum = (skewedCubeOrigin.x + skewedCubeOrigin.y + skewedCubeOrigin.z + skewedCubeOrigin.w) * UnskewCoeff4D;
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unskewedCubeOrigin.x = skewedCubeOrigin.x - sum;
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unskewedCubeOrigin.y = skewedCubeOrigin.y - sum;
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unskewedCubeOrigin.z = skewedCubeOrigin.z - sum;
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unskewedCubeOrigin.w = skewedCubeOrigin.w - sum;
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unskewedDistToOrigin.x = x - unskewedCubeOrigin.x;
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unskewedDistToOrigin.y = y - unskewedCubeOrigin.y;
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unskewedDistToOrigin.z = z - unskewedCubeOrigin.z;
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unskewedDistToOrigin.w = w - unskewedCubeOrigin.w;
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c1 = (unskewedDistToOrigin.x > unskewedDistToOrigin.y) ? 32 : 0;
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c2 = (unskewedDistToOrigin.x > unskewedDistToOrigin.z) ? 16 : 0;
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c3 = (unskewedDistToOrigin.y > unskewedDistToOrigin.z) ? 8 : 0;
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c4 = (unskewedDistToOrigin.x > unskewedDistToOrigin.w) ? 4 : 0;
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c5 = (unskewedDistToOrigin.y > unskewedDistToOrigin.w) ? 2 : 0;
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c6 = (unskewedDistToOrigin.z > unskewedDistToOrigin.w) ? 1 : 0;
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c = c1 + c2 + c3 + c4 + c5 + c6;
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off1.x = lookupTable4D[c][0] >= 3 ? 1 : 0;
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off1.y = lookupTable4D[c][1] >= 3 ? 1 : 0;
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off1.z = lookupTable4D[c][2] >= 3 ? 1 : 0;
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off1.w = lookupTable4D[c][3] >= 3 ? 1 : 0;
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off2.x = lookupTable4D[c][0] >= 2 ? 1 : 0;
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off2.y = lookupTable4D[c][1] >= 2 ? 1 : 0;
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off2.z = lookupTable4D[c][2] >= 2 ? 1 : 0;
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off2.w = lookupTable4D[c][3] >= 2 ? 1 : 0;
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off3.x = lookupTable4D[c][0] >= 1 ? 1 : 0;
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off3.y = lookupTable4D[c][1] >= 1 ? 1 : 0;
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off3.z = lookupTable4D[c][2] >= 1 ? 1 : 0;
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off3.w = lookupTable4D[c][3] >= 1 ? 1 : 0;
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d1 = unskewedDistToOrigin;
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d2.x = d1.x - off1.x + UnskewCoeff4D;
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d2.y = d1.y - off1.y + UnskewCoeff4D;
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d2.z = d1.z - off1.z + UnskewCoeff4D;
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d2.w = d1.w - off1.w + UnskewCoeff4D;
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d3.x = d1.x - off2.x + 2*UnskewCoeff4D;
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d3.y = d1.y - off2.y + 2*UnskewCoeff4D;
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d3.z = d1.z - off2.z + 2*UnskewCoeff4D;
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d3.w = d1.w - off2.w + 2*UnskewCoeff4D;
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d4.x = d1.x - off3.x + 3*UnskewCoeff4D;
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d4.y = d1.y - off3.y + 3*UnskewCoeff4D;
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d4.z = d1.z - off3.z + 3*UnskewCoeff4D;
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d4.w = d1.w - off3.w + 3*UnskewCoeff4D;
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d5.x = d1.x - 1.0 + 4*UnskewCoeff4D;
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d5.y = d1.y - 1.0 + 4*UnskewCoeff4D;
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d5.z = d1.z - 1.0 + 4*UnskewCoeff4D;
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d5.w = d1.w - 1.0 + 4*UnskewCoeff4D;
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ii = skewedCubeOrigin.x & 255;
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jj = skewedCubeOrigin.y & 255;
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kk = skewedCubeOrigin.z & 255;
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ll = skewedCubeOrigin.w & 255;
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gi0 = perm[ii + perm[jj + perm[kk + perm[ll]]]] & 31;
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gi1 = perm[ii + off1.x + perm[jj + off1.y + perm[kk + off1.z + perm[ll + off1.w]]]] & 31;
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gi2 = perm[ii + off2.x + perm[jj + off2.y + perm[kk + off2.z + perm[ll + off2.w]]]] & 31;
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gi3 = perm[ii + off3.x + perm[jj + off3.y + perm[kk + off3.z + perm[ll + off3.w]]]] & 31;
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gi4 = perm[ii + 1 + perm[jj + 1 + perm[kk + 1 + perm[ll + 1]]]] % 32;
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c1 = 0.6 - d1.x*d1.x - d1.y*d1.y - d1.z*d1.z - d1.w*d1.w;
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c2 = 0.6 - d2.x*d2.x - d2.y*d2.y - d2.z*d2.z - d2.w*d2.w;
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c3 = 0.6 - d3.x*d3.x - d3.y*d3.y - d3.z*d3.z - d3.w*d3.w;
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c4 = 0.6 - d4.x*d4.x - d4.y*d4.y - d4.z*d4.z - d4.w*d4.w;
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c5 = 0.6 - d5.x*d5.x - d5.y*d5.y - d5.z*d5.z - d5.w*d5.w;
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if(c1 < 0)
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n1 = 0;
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else
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n1 = c1*c1*c1*c1*(gradient4[gi0][0]*d1.x + gradient4[gi0][1]*d1.y + gradient4[gi0][2]*d1.z + gradient4[gi0][3]*d1.w);
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if(c2 < 0)
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n2 = 0;
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else
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n2 = c2*c2*c2*c2*(gradient4[gi1][0]*d2.x + gradient4[gi1][1]*d2.y + gradient4[gi1][2]*d2.z + gradient4[gi1][3]*d2.w);
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if(c3 < 0)
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n3 = 0;
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else
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n3 = c3*c3*c3*c3*(gradient4[gi2][0]*d3.x + gradient4[gi2][1]*d3.y + gradient4[gi2][2]*d3.z + gradient4[gi2][3]*d3.w);
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if(c4 < 0)
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n4 = 0;
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else
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n4 = c4*c4*c4*c4*(gradient4[gi3][0]*d4.x + gradient4[gi3][1]*d4.y + gradient4[gi3][2]*d4.z + gradient4[gi3][3]*d4.w);
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if(c5 < 0)
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n5 = 0;
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else
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n5 = c5*c5*c5*c5*(gradient4[gi4][0]*d5.x + gradient4[gi4][1]*d5.y + gradient4[gi4][2]*d5.z + gradient4[gi4][3]*d5.w);
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return (n1+n2+n3+n4+n5)*27.0;
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}
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#include <Nazara/Core/DebugOff.hpp>
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