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root/radiance/ray/src/rt/rayinit.cal
Revision: 1.1
Committed: Thu Aug 22 08:57:19 1991 UTC (32 years, 8 months ago) by greg
Branch: MAIN
Log Message:
Initial revision

File Contents

# Content
1 { SCCSid "$SunId$ LBL" }
2
3 {
4 Initialization file for Radiance.
5
6 4/14/86
7 }
8
9 {
10 The following are predefined:
11
12 Dx, Dy, Dz - ray direction
13 Nx, Ny, Nz - surface normal
14 Px, Py, Pz - intersection point
15 T - distance from start
16 Rdot - ray dot product
17 S - world scale
18 Tx, Ty, Tz - world origin
19 Ix, Iy, Iz - world i unit vector
20 Jx, Jy, Jz - world j unit vector
21 Kx, Ky, Kz - world k unit vector
22 arg(n) - real arguments, arg(0) is count
23
24 For brdf functions, the following are also available:
25
26 NxP, NyP, NzP - perturbed surface normal
27 RdotP - perturbed ray dot product
28 CrP, CgP, CbP - perturbed material color
29
30 Library functions:
31
32 if(a, b, c) - if a positive, return b, else c
33
34 select(N, a1, a2, ..) - return aN
35
36 sqrt(x) - square root function
37
38 sin(x), cos(x), tan(x),
39 asin(x), acos(x),
40 atan(x), atan2(y,x) - standard trig functions
41
42 floor(x), ceil(x) - g.l.b. & l.u.b.
43
44 exp(x), log(x), log10(x) - exponent and log functions
45
46 erf(z), erfc(z) - error functions
47
48 rand(x) - pseudo-random function (0 to 1)
49
50 hermite(p0,p1,r0,r1,t) - 1-dimensional hermite polynomial
51
52 noise3(x,y,z), noise3a(x,y,z),
53 noise3b(x,y,z), noise3c(x,y,z) - noise function with gradient (-1 to 1)
54
55 fnoise3(x,y,z) - fractal noise function (-1 to 1)
56 }
57
58 { Backward compatibility }
59 AC = arg(0);
60 A1 = arg(1); A2 = arg(2); A3 = arg(3); A4 = arg(4); A5 = arg(5);
61 A6 = arg(6); A7 = arg(7); A8 = arg(8); A9 = arg(9); A10 = arg(10);
62
63 { Forward compatibility (?) }
64 D(i) = select(i, Dx, Dy, Dz);
65 N(i) = select(i, Nx, Ny, Nz);
66 P(i) = select(i, Px, Py, Pz);
67 noise3d(i,x,y,z) = select(i, noise3a(x,y,z), noise3b(x,y,z), noise3c(x,y,z));
68
69 { More robust versions of library functions }
70 bound(a,x,b) : if(a-x, a, if(x-b, b, x));
71 Acos(x) : acos(bound(-1,x,1));
72 Asin(x) : asin(bound(-1,x,1));
73 Exp(x) : if(-x-60, 0, exp(x));
74 Sqrt(x) : if(x, sqrt(x), 0);
75
76 { Useful constants }
77 PI : 3.14159265358979323846;
78 DEGREE : PI/180;
79 FTINY : 1e-7;
80
81 { Useful functions }
82 and(a,b) : if( a, b, a );
83 or(a,b) : if( a, a, b );
84 not(a) : if( a, -1, 1 );
85 abs(x) : if( x, x, -x );
86 sgn(x) : if( x, 1, if(-x, -1, 0) );
87 sq(x) : x*x;
88 max(a,b) : if( a-b, a, b );
89 min(a,b) : if( a-b, b, a );
90 inside(a,x,b) : and(x-a,b-x);
91 frac(x) : x - floor(x);
92 mod(n,d) : n - floor(n/d)*d;
93 tri(n,d) : abs( d - mod(n-d,2*d) );
94 linterp(t,p0,p1) : (1-t)*p0 + t*p1;
95
96 noop(v) = v;
97 clip(v) = bound(0,v,1);
98 noneg(v) = max(0,v);
99 red(r,g,b) = r;
100 green(r,g,b) = g;
101 blue(r,g,b) = b;
102 grey(r,g,b) = .3*r + .59*g + .11*b;
103 clip_r(r,g,b) = bound(0,r,1);
104 clip_g(r,g,b) = bound(0,g,1);
105 clip_b(r,g,b) = bound(0,b,1);
106 clipgrey(r,g,b) = bound(0,grey(r,g,b),1);
107
108 dot(v1,v2) : v1(1)*v2(1) + v1(2)*v2(2) + v1(3)*v2(3);
109 cross(i,v1,v2) : select(i, v1(2)*v2(3) - v1(3)*v2(2),
110 v1(3)*v2(1) - v1(1)*v2(3),
111 v1(1)*v2(2) - v1(2)*v2(1));
112
113 fade(near_val,far_val,dist) = far_val +
114 if (16-dist, (near_val-far_val)/(1+dist*dist), 0);
115
116 bezier(p1, p2, p3, p4, t) = p1 * (1+t*(-3+t*(3-t))) +
117 p2 * 3*t*(1+t*(-2+t)) +
118 p3 * 3*t*t*(1-t) +
119 p4 * t*t*t ;
120
121 bspline(pp, p0, p1, pn, t) = pp * (1/6+t*(-.5+t*(.5-1/6*t))) +
122 p0 * (2/3+t*t*(-1+.5*t)) +
123 p1 * (1/6+t*(.5+t*(.5-.5*t))) +
124 pn * (1/6*t*t*t) ;
125
126 turbulence(x,y,z,s) = if( s-1.01, 0, abs(noise3(x/s,y/s,z/s)*s) +
127 turbulence(x,y,z,2*s) );
128 turbulencea(x,y,z,s) = if( s-1.01, 0,
129 sgn(noise3(x/s,y/s,z/s))*noise3a(x/s,y/s,z/s) +
130 turbulencea(x,y,z,2*s) );
131 turbulenceb(x,y,z,s) = if( s-1.01, 0,
132 sgn(noise3(x/s,y/s,z/s))*noise3b(x/s,y/s,z/s) +
133 turbulenceb(x,y,z,2*s) );
134 turbulencec(x,y,z,s) = if( s-1.01, 0,
135 sgn(noise3(x/s,y/s,z/s))*noise3c(x/s,y/s,z/s) +
136 turbulencec(x,y,z,2*s) );