| 1 |
greg |
1.2 |
{ RCSid $Id$ } |
| 2 |
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{ 3-D Perlin Noise function } |
| 3 |
greg |
1.1 |
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| 4 |
greg |
1.2 |
frac(x):x-floor(x); |
| 5 |
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| 6 |
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hermite(p0,p1,r0,r1,t) : p0 * ((2*t-3)*t*t+1) + |
| 7 |
greg |
1.1 |
p1 * (-2*t+3)*t*t + |
| 8 |
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r0 * (((t-2)*t+1)*t) + |
| 9 |
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r1 * ((t-1)*t*t); |
| 10 |
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| 11 |
greg |
1.2 |
rand3a(x,y,z) : 1-2*rand(.69692*x+.35084*y+.26765*z); |
| 12 |
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rand3b(x,y,z) : 1-2*rand(.05393*x+.96196*y+.28617*z); |
| 13 |
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rand3c(x,y,z) : 1-2*rand(.04234*x+.46180*y+.54550*z); |
| 14 |
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rand3d(x,y,z) : 1-2*rand(.07211*x+.76411*y+.95567*z); |
| 15 |
greg |
1.1 |
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| 16 |
greg |
1.2 |
noise_3(xl,xd,xu,yl,yd,yu,zl,zd,zu) : |
| 17 |
greg |
1.1 |
hermite( |
| 18 |
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hermite( |
| 19 |
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hermite(rand3d(xl,yl,zl), |
| 20 |
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rand3d(xu,yl,zl), |
| 21 |
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rand3a(xl,yl,zl), |
| 22 |
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rand3a(xu,yl,zl), |
| 23 |
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xd), |
| 24 |
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hermite(rand3d(xl,yu,zl), |
| 25 |
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rand3d(xu,yu,zl), |
| 26 |
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rand3a(xl,yu,zl), |
| 27 |
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rand3a(xu,yu,zl), |
| 28 |
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xd), |
| 29 |
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(1-xd)*rand3b(xl,yl,zl)+ |
| 30 |
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xd*rand3b(xu,yl,zl), |
| 31 |
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(1-xd)*rand3b(xl,yu,zl)+ |
| 32 |
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xd*rand3b(xu,yu,zl), |
| 33 |
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yd), |
| 34 |
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hermite( |
| 35 |
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hermite(rand3d(xl,yl,zu), |
| 36 |
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rand3d(xu,yl,zu), |
| 37 |
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rand3a(xl,yl,zu), |
| 38 |
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rand3a(xu,yl,zu), |
| 39 |
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xd), |
| 40 |
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hermite(rand3d(xl,yu,zu), |
| 41 |
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rand3d(xu,yu,zu), |
| 42 |
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rand3a(xl,yu,zu), |
| 43 |
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rand3a(xu,yu,zu), |
| 44 |
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xd), |
| 45 |
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(1-xd)*rand3b(xl,yl,zu)+ |
| 46 |
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xd*rand3b(xu,yl,zu), |
| 47 |
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(1-xd)*rand3b(xl,yu,zu)+ |
| 48 |
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xd*rand3b(xu,yu,zu), |
| 49 |
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yd), |
| 50 |
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(1-yd)*((1-xd)*rand3c(xl,yl,zl) + |
| 51 |
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xd*rand3c(xu,yl,zl)) + |
| 52 |
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yd*((1-xd)*rand3c(xl,yu,zl) + |
| 53 |
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xd*rand3c(xu,yu,zl)), |
| 54 |
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(1-yd)*((1-xd)*rand3c(xl,yl,zu) + |
| 55 |
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xd*rand3c(xu,yl,zu)) + |
| 56 |
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yd*((1-xd)*rand3c(xl,yu,zu) + |
| 57 |
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xd*rand3c(xu,yu,zu)), |
| 58 |
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zd); |
| 59 |
greg |
1.2 |
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| 60 |
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| 61 |
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noise3(x,y,z) : noise_3( floor(x),frac(x),ceil(x), |
| 62 |
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floor(y),frac(y),ceil(y), |
| 63 |
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floor(z),frac(z),ceil(z) ); |
