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Added missing 4D classic noise file

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1 parent a711495 commit 6dfaf1b88d3c031b7847675eb2fa10153754fd99 @stegu stegu committed Apr 3, 2011
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  1. +312 −0 src/classicnoise4D.glsl
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312 src/classicnoise4D.glsl
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+//
+// GLSL textureless classic 4D noise "cnoise",
+// with an RSL-style periodic variant "pnoise".
+// Author: Stefan Gustavson (stefan.gustavson@liu.se)
+// Version: 2011-04-03
+//
+// Many thanks to Ian McEwan of Ashima Arts for the
+// ideas for permutation and gradient selection.
+//
+// This code is licensed under the terms of the MIT license:
+//
+// Copyright (c) 2011 Stefan Gustavson (stefan.gustavson@liu.se)
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+// THE SOFTWARE.
+//
+
+vec4 permute(vec4 x)
+{
+ x = mod(x, 289.0);
+ return floor(mod(((x*34.0)+1.0)*x, 289.0));
+}
+
+vec4 taylorInvSqrt(vec4 r)
+{
+ return 1.79284291400159 - 0.85373472095314 * r;
+}
+
+vec4 fade(vec4 t) {
+ return t*t*t*(t*(t*6.0-15.0)+10.0);
+}
+
+// Classic Perlin noise
+float cnoise(vec4 P)
+{
+ vec4 Pi0 = floor(P); // Integer part for indexing
+ vec4 Pi1 = Pi0 + 1.0; // Integer part + 1
+ vec4 Pf0 = fract(P); // Fractional part for interpolation
+ vec4 Pf1 = Pf0 - 1.0; // Fractional part - 1.0
+ vec4 ix = vec4(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
+ vec4 iy = vec4(Pi0.yy, Pi1.yy);
+ vec4 iz0 = vec4(Pi0.zzzz);
+ vec4 iz1 = vec4(Pi1.zzzz);
+ vec4 iw0 = vec4(Pi0.wwww);
+ vec4 iw1 = vec4(Pi1.wwww);
+
+ vec4 ixy = permute(permute(ix) + iy);
+ vec4 ixy0 = permute(ixy + iz0);
+ vec4 ixy1 = permute(ixy + iz1);
+ vec4 ixy00 = permute(ixy0 + iw0);
+ vec4 ixy01 = permute(ixy0 + iw1);
+ vec4 ixy10 = permute(ixy1 + iw0);
+ vec4 ixy11 = permute(ixy1 + iw1);
+
+ vec4 gx00 = ixy00 / 7.0;
+ vec4 gy00 = floor(gx00) / 7.0;
+ vec4 gz00 = floor(gy00) / 6.0;
+ gx00 = fract(gx00) - 0.5;
+ gy00 = fract(gy00) - 0.5;
+ gz00 = fract(gz00) - 0.5;
+ vec4 gw00 = vec4(0.75) - abs(gx00) - abs(gy00) - abs(gz00);
+ vec4 sw00 = step(gw00, vec4(0.0));
+ gx00 -= sw00 * (step(0.0, gx00) - 0.5);
+ gy00 -= sw00 * (step(0.0, gy00) - 0.5);
+
+ vec4 gx01 = ixy01 / 7.0;
+ vec4 gy01 = floor(gx01) / 7.0;
+ vec4 gz01 = floor(gy01) / 6.0;
+ gx01 = fract(gx01) - 0.5;
+ gy01 = fract(gy01) - 0.5;
+ gz01 = fract(gz01) - 0.5;
+ vec4 gw01 = vec4(0.75) - abs(gx01) - abs(gy01) - abs(gz01);
+ vec4 sw01 = step(gw01, vec4(0.0));
+ gx01 -= sw01 * (step(0.0, gx01) - 0.5);
+ gy01 -= sw01 * (step(0.0, gy01) - 0.5);
+
+ vec4 gx10 = ixy10 / 7.0;
+ vec4 gy10 = floor(gx10) / 7.0;
+ vec4 gz10 = floor(gy10) / 6.0;
+ gx10 = fract(gx10) - 0.5;
+ gy10 = fract(gy10) - 0.5;
+ gz10 = fract(gz10) - 0.5;
+ vec4 gw10 = vec4(0.75) - abs(gx10) - abs(gy10) - abs(gz10);
+ vec4 sw10 = step(gw10, vec4(0.0));
+ gx10 -= sw10 * (step(0.0, gx10) - 0.5);
+ gy10 -= sw10 * (step(0.0, gy10) - 0.5);
+
+ vec4 gx11 = ixy11 / 7.0;
+ vec4 gy11 = floor(gx11) / 7.0;
+ vec4 gz11 = floor(gy11) / 6.0;
+ gx11 = fract(gx11) - 0.5;
+ gy11 = fract(gy11) - 0.5;
+ gz11 = fract(gz11) - 0.5;
+ vec4 gw11 = vec4(0.75) - abs(gx11) - abs(gy11) - abs(gz11);
+ vec4 sw11 = step(gw11, vec4(0.0));
+ gx11 -= sw11 * (step(0.0, gx11) - 0.5);
+ gy11 -= sw11 * (step(0.0, gy11) - 0.5);
+
+ vec4 g0000 = vec4(gx00.x,gy00.x,gz00.x,gw00.x);
+ vec4 g1000 = vec4(gx00.y,gy00.y,gz00.y,gw00.y);
+ vec4 g0100 = vec4(gx00.z,gy00.z,gz00.z,gw00.z);
+ vec4 g1100 = vec4(gx00.w,gy00.w,gz00.w,gw00.w);
+ vec4 g0010 = vec4(gx10.x,gy10.x,gz10.x,gw10.x);
+ vec4 g1010 = vec4(gx10.y,gy10.y,gz10.y,gw10.y);
+ vec4 g0110 = vec4(gx10.z,gy10.z,gz10.z,gw10.z);
+ vec4 g1110 = vec4(gx10.w,gy10.w,gz10.w,gw10.w);
+ vec4 g0001 = vec4(gx01.x,gy01.x,gz01.x,gw01.x);
+ vec4 g1001 = vec4(gx01.y,gy01.y,gz01.y,gw01.y);
+ vec4 g0101 = vec4(gx01.z,gy01.z,gz01.z,gw01.z);
+ vec4 g1101 = vec4(gx01.w,gy01.w,gz01.w,gw01.w);
+ vec4 g0011 = vec4(gx11.x,gy11.x,gz11.x,gw11.x);
+ vec4 g1011 = vec4(gx11.y,gy11.y,gz11.y,gw11.y);
+ vec4 g0111 = vec4(gx11.z,gy11.z,gz11.z,gw11.z);
+ vec4 g1111 = vec4(gx11.w,gy11.w,gz11.w,gw11.w);
+
+ vec4 norm00 = taylorInvSqrt(vec4(dot(g0000, g0000), dot(g0100, g0100), dot(g1000, g1000), dot(g1100, g1100)));
+ g0000 *= norm00.x;
+ g0100 *= norm00.y;
+ g1000 *= norm00.z;
+ g1100 *= norm00.w;
+
+ vec4 norm01 = taylorInvSqrt(vec4(dot(g0001, g0001), dot(g0101, g0101), dot(g1001, g1001), dot(g1101, g1101)));
+ g0001 *= norm01.x;
+ g0101 *= norm01.y;
+ g1001 *= norm01.z;
+ g1101 *= norm01.w;
+
+ vec4 norm10 = taylorInvSqrt(vec4(dot(g0010, g0010), dot(g0110, g0110), dot(g1010, g1010), dot(g1110, g1110)));
+ g0010 *= norm10.x;
+ g0110 *= norm10.y;
+ g1010 *= norm10.z;
+ g1110 *= norm10.w;
+
+ vec4 norm11 = taylorInvSqrt(vec4(dot(g0011, g0011), dot(g0111, g0111), dot(g1011, g1011), dot(g1111, g1111)));
+ g0011 *= norm11.x;
+ g0111 *= norm11.y;
+ g1011 *= norm11.z;
+ g1111 *= norm11.w;
+
+ float n0000 = dot(g0000, Pf0);
+ float n1000 = dot(g1000, vec4(Pf1.x, Pf0.yzw));
+ float n0100 = dot(g0100, vec4(Pf0.x, Pf1.y, Pf0.zw));
+ float n1100 = dot(g1100, vec4(Pf1.xy, Pf0.zw));
+ float n0010 = dot(g0010, vec4(Pf0.xy, Pf1.z, Pf0.w));
+ float n1010 = dot(g1010, vec4(Pf1.x, Pf0.y, Pf1.z, Pf0.w));
+ float n0110 = dot(g0110, vec4(Pf0.x, Pf1.yz, Pf0.w));
+ float n1110 = dot(g1110, vec4(Pf1.xyz, Pf0.w));
+ float n0001 = dot(g0001, vec4(Pf0.xyz, Pf1.w));
+ float n1001 = dot(g1001, vec4(Pf1.x, Pf0.yz, Pf1.w));
+ float n0101 = dot(g0101, vec4(Pf0.x, Pf1.y, Pf0.z, Pf1.w));
+ float n1101 = dot(g1101, vec4(Pf1.xy, Pf0.z, Pf1.w));
+ float n0011 = dot(g0011, vec4(Pf0.xy, Pf1.zw));
+ float n1011 = dot(g1011, vec4(Pf1.x, Pf0.y, Pf1.zw));
+ float n0111 = dot(g0111, vec4(Pf0.x, Pf1.yzw));
+ float n1111 = dot(g1111, Pf1);
+
+ vec4 fade_xyzw = fade(Pf0);
+ vec4 n_0w = mix(vec4(n0000, n1000, n0100, n1100), vec4(n0001, n1001, n0101, n1101), fade_xyzw.w);
+ vec4 n_1w = mix(vec4(n0010, n1010, n0110, n1110), vec4(n0011, n1011, n0111, n1111), fade_xyzw.w);
+ vec4 n_zw = mix(n_0w, n_1w, fade_xyzw.z);
+ vec2 n_yzw = mix(n_zw.xy, n_zw.zw, fade_xyzw.y);
+ float n_xyzw = mix(n_yzw.x, n_yzw.y, fade_xyzw.x);
+ return 2.2 * n_xyzw;
+}
+
+// Classic Perlin noise, periodic version
+float cnoise(vec4 P, vec4 rep)
+{
+ vec4 Pi0 = mod(floor(P), rep); // Integer part modulo rep
+ vec4 Pi1 = mod(Pi0 + 1.0, rep); // Integer part + 1 mod rep
+ vec4 Pf0 = fract(P); // Fractional part for interpolation
+ vec4 Pf1 = Pf0 - 1.0; // Fractional part - 1.0
+ vec4 ix = vec4(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
+ vec4 iy = vec4(Pi0.yy, Pi1.yy);
+ vec4 iz0 = vec4(Pi0.zzzz);
+ vec4 iz1 = vec4(Pi1.zzzz);
+ vec4 iw0 = vec4(Pi0.wwww);
+ vec4 iw1 = vec4(Pi1.wwww);
+
+ vec4 ixy = permute(permute(ix) + iy);
+ vec4 ixy0 = permute(ixy + iz0);
+ vec4 ixy1 = permute(ixy + iz1);
+ vec4 ixy00 = permute(ixy0 + iw0);
+ vec4 ixy01 = permute(ixy0 + iw1);
+ vec4 ixy10 = permute(ixy1 + iw0);
+ vec4 ixy11 = permute(ixy1 + iw1);
+
+ vec4 gx00 = ixy00 / 7.0;
+ vec4 gy00 = floor(gx00) / 7.0;
+ vec4 gz00 = floor(gy00) / 6.0;
+ gx00 = fract(gx00) - 0.5;
+ gy00 = fract(gy00) - 0.5;
+ gz00 = fract(gz00) - 0.5;
+ vec4 gw00 = vec4(0.75) - abs(gx00) - abs(gy00) - abs(gz00);
+ vec4 sw00 = step(gw00, vec4(0.0));
+ gx00 -= sw00 * (step(0.0, gx00) - 0.5);
+ gy00 -= sw00 * (step(0.0, gy00) - 0.5);
+
+ vec4 gx01 = ixy01 / 7.0;
+ vec4 gy01 = floor(gx01) / 7.0;
+ vec4 gz01 = floor(gy01) / 6.0;
+ gx01 = fract(gx01) - 0.5;
+ gy01 = fract(gy01) - 0.5;
+ gz01 = fract(gz01) - 0.5;
+ vec4 gw01 = vec4(0.75) - abs(gx01) - abs(gy01) - abs(gz01);
+ vec4 sw01 = step(gw01, vec4(0.0));
+ gx01 -= sw01 * (step(0.0, gx01) - 0.5);
+ gy01 -= sw01 * (step(0.0, gy01) - 0.5);
+
+ vec4 gx10 = ixy10 / 7.0;
+ vec4 gy10 = floor(gx10) / 7.0;
+ vec4 gz10 = floor(gy10) / 6.0;
+ gx10 = fract(gx10) - 0.5;
+ gy10 = fract(gy10) - 0.5;
+ gz10 = fract(gz10) - 0.5;
+ vec4 gw10 = vec4(0.75) - abs(gx10) - abs(gy10) - abs(gz10);
+ vec4 sw10 = step(gw10, vec4(0.0));
+ gx10 -= sw10 * (step(0.0, gx10) - 0.5);
+ gy10 -= sw10 * (step(0.0, gy10) - 0.5);
+
+ vec4 gx11 = ixy11 / 7.0;
+ vec4 gy11 = floor(gx11) / 7.0;
+ vec4 gz11 = floor(gy11) / 6.0;
+ gx11 = fract(gx11) - 0.5;
+ gy11 = fract(gy11) - 0.5;
+ gz11 = fract(gz11) - 0.5;
+ vec4 gw11 = vec4(0.75) - abs(gx11) - abs(gy11) - abs(gz11);
+ vec4 sw11 = step(gw11, vec4(0.0));
+ gx11 -= sw11 * (step(0.0, gx11) - 0.5);
+ gy11 -= sw11 * (step(0.0, gy11) - 0.5);
+
+ vec4 g0000 = vec4(gx00.x,gy00.x,gz00.x,gw00.x);
+ vec4 g1000 = vec4(gx00.y,gy00.y,gz00.y,gw00.y);
+ vec4 g0100 = vec4(gx00.z,gy00.z,gz00.z,gw00.z);
+ vec4 g1100 = vec4(gx00.w,gy00.w,gz00.w,gw00.w);
+ vec4 g0010 = vec4(gx10.x,gy10.x,gz10.x,gw10.x);
+ vec4 g1010 = vec4(gx10.y,gy10.y,gz10.y,gw10.y);
+ vec4 g0110 = vec4(gx10.z,gy10.z,gz10.z,gw10.z);
+ vec4 g1110 = vec4(gx10.w,gy10.w,gz10.w,gw10.w);
+ vec4 g0001 = vec4(gx01.x,gy01.x,gz01.x,gw01.x);
+ vec4 g1001 = vec4(gx01.y,gy01.y,gz01.y,gw01.y);
+ vec4 g0101 = vec4(gx01.z,gy01.z,gz01.z,gw01.z);
+ vec4 g1101 = vec4(gx01.w,gy01.w,gz01.w,gw01.w);
+ vec4 g0011 = vec4(gx11.x,gy11.x,gz11.x,gw11.x);
+ vec4 g1011 = vec4(gx11.y,gy11.y,gz11.y,gw11.y);
+ vec4 g0111 = vec4(gx11.z,gy11.z,gz11.z,gw11.z);
+ vec4 g1111 = vec4(gx11.w,gy11.w,gz11.w,gw11.w);
+
+ vec4 norm00 = taylorInvSqrt(vec4(dot(g0000, g0000), dot(g0100, g0100), dot(g1000, g1000), dot(g1100, g1100)));
+ g0000 *= norm00.x;
+ g0100 *= norm00.y;
+ g1000 *= norm00.z;
+ g1100 *= norm00.w;
+
+ vec4 norm01 = taylorInvSqrt(vec4(dot(g0001, g0001), dot(g0101, g0101), dot(g1001, g1001), dot(g1101, g1101)));
+ g0001 *= norm01.x;
+ g0101 *= norm01.y;
+ g1001 *= norm01.z;
+ g1101 *= norm01.w;
+
+ vec4 norm10 = taylorInvSqrt(vec4(dot(g0010, g0010), dot(g0110, g0110), dot(g1010, g1010), dot(g1110, g1110)));
+ g0010 *= norm10.x;
+ g0110 *= norm10.y;
+ g1010 *= norm10.z;
+ g1110 *= norm10.w;
+
+ vec4 norm11 = taylorInvSqrt(vec4(dot(g0011, g0011), dot(g0111, g0111), dot(g1011, g1011), dot(g1111, g1111)));
+ g0011 *= norm11.x;
+ g0111 *= norm11.y;
+ g1011 *= norm11.z;
+ g1111 *= norm11.w;
+
+ float n0000 = dot(g0000, Pf0);
+ float n1000 = dot(g1000, vec4(Pf1.x, Pf0.yzw));
+ float n0100 = dot(g0100, vec4(Pf0.x, Pf1.y, Pf0.zw));
+ float n1100 = dot(g1100, vec4(Pf1.xy, Pf0.zw));
+ float n0010 = dot(g0010, vec4(Pf0.xy, Pf1.z, Pf0.w));
+ float n1010 = dot(g1010, vec4(Pf1.x, Pf0.y, Pf1.z, Pf0.w));
+ float n0110 = dot(g0110, vec4(Pf0.x, Pf1.yz, Pf0.w));
+ float n1110 = dot(g1110, vec4(Pf1.xyz, Pf0.w));
+ float n0001 = dot(g0001, vec4(Pf0.xyz, Pf1.w));
+ float n1001 = dot(g1001, vec4(Pf1.x, Pf0.yz, Pf1.w));
+ float n0101 = dot(g0101, vec4(Pf0.x, Pf1.y, Pf0.z, Pf1.w));
+ float n1101 = dot(g1101, vec4(Pf1.xy, Pf0.z, Pf1.w));
+ float n0011 = dot(g0011, vec4(Pf0.xy, Pf1.zw));
+ float n1011 = dot(g1011, vec4(Pf1.x, Pf0.y, Pf1.zw));
+ float n0111 = dot(g0111, vec4(Pf0.x, Pf1.yzw));
+ float n1111 = dot(g1111, Pf1);
+
+ vec4 fade_xyzw = fade(Pf0);
+ vec4 n_0w = mix(vec4(n0000, n1000, n0100, n1100), vec4(n0001, n1001, n0101, n1101), fade_xyzw.w);
+ vec4 n_1w = mix(vec4(n0010, n1010, n0110, n1110), vec4(n0011, n1011, n0111, n1111), fade_xyzw.w);
+ vec4 n_zw = mix(n_0w, n_1w, fade_xyzw.z);
+ vec2 n_yzw = mix(n_zw.xy, n_zw.zw, fade_xyzw.y);
+ float n_xyzw = mix(n_yzw.x, n_yzw.y, fade_xyzw.x);
+ return 2.2 * n_xyzw;
+}

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