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{ RCSid: $Id$ } |
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{ RCSid $Id$ } |
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{ |
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Initialization file for Radiance. |
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Kx, Ky, Kz - world k unit vector |
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arg(n) - real arguments, arg(0) is count |
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For brdf functions, the following are also available: |
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For mesh objects, the following are available: |
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Lu, Lv - local (u,v) coordinates |
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For *func & *data materials, the following are also available: |
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NxP, NyP, NzP - perturbed surface normal |
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RdotP - perturbed ray dot product |
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CrP, CgP, CbP - perturbed material color |
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sin(x), cos(x), tan(x), |
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asin(x), acos(x), |
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atan(x), atan2(y,x) - standard trig functions |
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atan(x), atan2(y,x) - standard trig functions (radians) |
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floor(x), ceil(x) - g.l.b. & l.u.b. |
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rand(x) - pseudo-random function (0 to 1) |
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hermite(p0,p1,r0,r1,t) - 1-dimensional hermite polynomial |
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noise3(x,y,z), noise3x(x,y,z), |
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noise3y(x,y,z), noise3z(x,y,z) - noise function with gradient (-1 to 1) |
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fade(near_val,far_val,dist) : far_val + |
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if (16-dist, (near_val-far_val)/(1+dist*dist), 0); |
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hermite(p0,p1,r0,r1,t) : p0 * ((2*t-3)*t*t+1) + |
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p1 * (-2*t+3)*t*t + |
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r0 * (((t-2)*t+1)*t) + |
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r1 * ((t-1)*t*t); |
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bezier(p1, p2, p3, p4, t) : p1 * (1+t*(-3+t*(3-t))) + |
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p2 * 3*t*(1+t*(-2+t)) + |
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p3 * 3*t*t*(1-t) + |
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{ Normal distribution from uniform range (0,1) } |
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un2`P(t) : t - (2.515517+t*(.802853+t*.010328))/ |
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un2`P.(t) : t - (2.515517+t*(.802853+t*.010328))/ |
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(1+t*(1.432788+t*(.189269+t*.001308))) ; |
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un1`P(p) : un2`P(sqrt(-2*log(p))) ; |
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un1`P.(p) : un2`P.(sqrt(-2*log(p))) ; |
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unif2norm(p) : if( .5-p, -un1`P(p), un1`P(1-p) ) ; |
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unif2norm(p) : if( .5-p, -un1`P.(p), un1`P.(1-p) ) ; |
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nrand(x) = unif2norm(rand(x)); |
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{ Local (u,v) coordinates for planar surfaces } |
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crosslen`P = Nx*Nx + Ny*Ny; |
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crosslen`P. = Nx*Nx + Ny*Ny; |
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{ U is distance from projected Z-axis } |
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U = if( crosslen`P - FTINY, |
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(Py*Nx - Px*Ny)/crosslen`P, |
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U = if( crosslen`P. - FTINY, |
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(Py*Nx - Px*Ny)/crosslen`P., |
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Px); |
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{ V is defined so that N = U x V } |
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V = if( crosslen`P - FTINY, |
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Pz - Nz*(Px*Nx + Py*Ny)/crosslen`P, |
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V = if( crosslen`P. - FTINY, |
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Pz - Nz*(Px*Nx + Py*Ny)/crosslen`P., |
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Py); |
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{ Local hemisphere direction for *func & *data types } |
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{ last 3 real args = unnormalized up-vector } |
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Vux`P. = arg(AC-1)*NzP - arg(AC)*NyP; |
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Vuy`P. = arg(AC)*NxP - arg(AC-2)*NzP; |
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Vuz`P. = arg(AC-2)*NyP - arg(AC-1)*NxP; |
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vnorm`P. = 1/sqrt(Vux`P.*Vux`P. + Vuy`P.*Vuy`P. + Vuz`P.*Vuz`P.); |
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Vnx`P. = Vux`P.*vnorm`P.; |
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Vny`P. = Vuy`P.*vnorm`P.; |
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Vnz`P. = Vuz`P.*vnorm`P.; |
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Unx`P. = NyP*Vnz`P. - NzP*Vny`P.; |
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Uny`P. = NzP*Vnx`P. - NxP*Vnz`P.; |
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Unz`P. = NxP*Vny`P. - NyP*Vnx`P.; |
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{ Transform vectors, normalized (dx,dy,dz) away from surf } |
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Ldx(dx,dy,dz) = dx*Unx`P. + dy*Uny`P. + dz*Unz`P.; |
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Ldy(dx,dy,dz) = dx*Vnx`P. + dy*Vny`P. + dz*Vnz`P.; |
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Ldz(dx,dy,dz) = dx*NxP + dy*NyP + dz*NzP; |
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{ Incident vector transformed to our coords } |
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Idx = Ldx(-Dx,-Dy,-Dz); |
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Idy = Ldy(-Dx,-Dy,-Dz); |
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Idz = RdotP; |
