24 |
|
RdotP - perturbed ray dot product |
25 |
|
CrP, CgP, CbP - perturbed material color |
26 |
|
|
27 |
+ |
For prism1 and prism2 types, the following are available: |
28 |
+ |
|
29 |
+ |
DxA, DyA, DzA - direction to target light source |
30 |
+ |
|
31 |
|
Library functions: |
32 |
|
|
33 |
|
if(a, b, c) - if a positive, return b, else c |
50 |
|
|
51 |
|
hermite(p0,p1,r0,r1,t) - 1-dimensional hermite polynomial |
52 |
|
|
53 |
< |
noise3(x,y,z), noise3a(x,y,z), |
54 |
< |
noise3b(x,y,z), noise3c(x,y,z) - noise function with gradient (-1 to 1) |
53 |
> |
noise3(x,y,z), noise3x(x,y,z), |
54 |
> |
noise3y(x,y,z), noise3z(x,y,z) - noise function with gradient (-1 to 1) |
55 |
|
|
56 |
|
fnoise3(x,y,z) - fractal noise function (-1 to 1) |
57 |
|
} |
61 |
|
A1 = arg(1); A2 = arg(2); A3 = arg(3); A4 = arg(4); A5 = arg(5); |
62 |
|
A6 = arg(6); A7 = arg(7); A8 = arg(8); A9 = arg(9); A10 = arg(10); |
63 |
|
|
64 |
+ |
noise3a(x,y,z) : noise3x(x,y,z); |
65 |
+ |
noise3b(x,y,z) : noise3y(x,y,z); |
66 |
+ |
noise3c(x,y,z) : noise3z(x,y,z); |
67 |
+ |
|
68 |
|
{ Forward compatibility (?) } |
69 |
|
D(i) = select(i, Dx, Dy, Dz); |
70 |
|
N(i) = select(i, Nx, Ny, Nz); |
71 |
|
P(i) = select(i, Px, Py, Pz); |
72 |
< |
noise3d(i,x,y,z) = select(i, noise3a(x,y,z), noise3b(x,y,z), noise3c(x,y,z)); |
72 |
> |
noise3d(i,x,y,z) : select(i, noise3x(x,y,z), noise3y(x,y,z), noise3z(x,y,z)); |
73 |
|
|
74 |
|
{ More robust versions of library functions } |
75 |
|
bound(a,x,b) : if(a-x, a, if(x-b, b, x)); |
76 |
|
Acos(x) : acos(bound(-1,x,1)); |
77 |
|
Asin(x) : asin(bound(-1,x,1)); |
78 |
+ |
Atan2(y,x) : if(x*x+y*y, atan2(y,x), 0); |
79 |
|
Exp(x) : if(-x-100, 0, exp(x)); |
80 |
|
Sqrt(x) : if(x, sqrt(x), 0); |
81 |
|
|
99 |
|
tri(n,d) : abs( d - mod(n-d,2*d) ); |
100 |
|
linterp(t,p0,p1) : (1-t)*p0 + t*p1; |
101 |
|
|
102 |
< |
noop(v) = v; |
103 |
< |
clip(v) = bound(0,v,1); |
104 |
< |
noneg(v) = if(v,v,0); |
105 |
< |
red(r,g,b) = if(r,r,0); |
106 |
< |
green(r,g,b) = if(g,g,0); |
107 |
< |
blue(r,g,b) = if(b,b,0); |
108 |
< |
grey(r,g,b) = noneg(.263*r + .655*g + .082*b); |
109 |
< |
clip_r(r,g,b) = bound(0,r,1); |
110 |
< |
clip_g(r,g,b) = bound(0,g,1); |
111 |
< |
clip_b(r,g,b) = bound(0,b,1); |
112 |
< |
clipgrey(r,g,b) = min(grey(r,g,b),1); |
102 |
> |
noop(v) : v; |
103 |
> |
clip(v) : bound(0,v,1); |
104 |
> |
noneg(v) : if(v,v,0); |
105 |
> |
red(r,g,b) : if(r,r,0); |
106 |
> |
green(r,g,b) : if(g,g,0); |
107 |
> |
blue(r,g,b) : if(b,b,0); |
108 |
> |
grey(r,g,b) : noneg(.265074126*r + .670114631*g + .064811243*b); |
109 |
> |
clip_r(r,g,b) : bound(0,r,1); |
110 |
> |
clip_g(r,g,b) : bound(0,g,1); |
111 |
> |
clip_b(r,g,b) : bound(0,b,1); |
112 |
> |
clipgrey(r,g,b) : min(grey(r,g,b),1); |
113 |
|
|
114 |
|
dot(v1,v2) : v1(1)*v2(1) + v1(2)*v2(2) + v1(3)*v2(3); |
115 |
|
cross(i,v1,v2) : select(i, v1(2)*v2(3) - v1(3)*v2(2), |
116 |
|
v1(3)*v2(1) - v1(1)*v2(3), |
117 |
|
v1(1)*v2(2) - v1(2)*v2(1)); |
118 |
|
|
119 |
< |
fade(near_val,far_val,dist) = far_val + |
119 |
> |
fade(near_val,far_val,dist) : far_val + |
120 |
|
if (16-dist, (near_val-far_val)/(1+dist*dist), 0); |
121 |
|
|
122 |
< |
bezier(p1, p2, p3, p4, t) = p1 * (1+t*(-3+t*(3-t))) + |
122 |
> |
bezier(p1, p2, p3, p4, t) : p1 * (1+t*(-3+t*(3-t))) + |
123 |
|
p2 * 3*t*(1+t*(-2+t)) + |
124 |
|
p3 * 3*t*t*(1-t) + |
125 |
|
p4 * t*t*t ; |
126 |
|
|
127 |
< |
bspline(pp, p0, p1, pn, t) = pp * (1/6+t*(-.5+t*(.5-1/6*t))) + |
127 |
> |
bspline(pp, p0, p1, pn, t) : pp * (1/6+t*(-.5+t*(.5-1/6*t))) + |
128 |
|
p0 * (2/3+t*t*(-1+.5*t)) + |
129 |
|
p1 * (1/6+t*(.5+t*(.5-.5*t))) + |
130 |
|
pn * (1/6*t*t*t) ; |
131 |
|
|
132 |
< |
turbulence(x,y,z,s) = if( s-1.01, 0, abs(noise3(x/s,y/s,z/s)*s) + |
132 |
> |
turbulence(x,y,z,s) : if( s-1.01, 0, abs(noise3(x/s,y/s,z/s)*s) + |
133 |
|
turbulence(x,y,z,2*s) ); |
134 |
< |
turbulencea(x,y,z,s) = if( s-1.01, 0, |
135 |
< |
sgn(noise3(x/s,y/s,z/s))*noise3a(x/s,y/s,z/s) + |
136 |
< |
turbulencea(x,y,z,2*s) ); |
137 |
< |
turbulenceb(x,y,z,s) = if( s-1.01, 0, |
138 |
< |
sgn(noise3(x/s,y/s,z/s))*noise3b(x/s,y/s,z/s) + |
139 |
< |
turbulenceb(x,y,z,2*s) ); |
140 |
< |
turbulencec(x,y,z,s) = if( s-1.01, 0, |
141 |
< |
sgn(noise3(x/s,y/s,z/s))*noise3c(x/s,y/s,z/s) + |
142 |
< |
turbulencec(x,y,z,2*s) ); |
134 |
> |
turbulencex(x,y,z,s) : if( s-1.01, 0, |
135 |
> |
sgn(noise3(x/s,y/s,z/s))*noise3x(x/s,y/s,z/s) + |
136 |
> |
turbulencex(x,y,z,2*s) ); |
137 |
> |
turbulencey(x,y,z,s) : if( s-1.01, 0, |
138 |
> |
sgn(noise3(x/s,y/s,z/s))*noise3y(x/s,y/s,z/s) + |
139 |
> |
turbulencey(x,y,z,2*s) ); |
140 |
> |
turbulencez(x,y,z,s) : if( s-1.01, 0, |
141 |
> |
sgn(noise3(x/s,y/s,z/s))*noise3z(x/s,y/s,z/s) + |
142 |
> |
turbulencez(x,y,z,2*s) ); |
143 |
|
|
144 |
|
{ Normal distribution from uniform range (0,1) } |
145 |
|
|
146 |
< |
un2`private(t) : t - (2.515517+t*(.802853+t*.010328))/ |
146 |
> |
un2`P(t) : t - (2.515517+t*(.802853+t*.010328))/ |
147 |
|
(1+t*(1.432788+t*(.189269+t*.001308))) ; |
148 |
< |
un1`private(p) : un2`private(sqrt(-2*log(p))) ; |
148 |
> |
un1`P(p) : un2`P(sqrt(-2*log(p))) ; |
149 |
|
|
150 |
< |
unif2norm(p) : if( .5-p, un1`private(p), -un1`private(1-p) ) ; |
150 |
> |
unif2norm(p) : if( .5-p, -un1`P(p), un1`P(1-p) ) ; |
151 |
|
|
152 |
|
nrand(x) = unif2norm(rand(x)); |
153 |
|
|
154 |
|
{ Local (u,v) coordinates for planar surfaces } |
155 |
< |
crosslen`private = Nx*Nx + Ny*Ny; |
156 |
< |
{ U is distance from origin in XY-plane } |
157 |
< |
U = if( crosslen`private - FTINY, |
158 |
< |
(Py*Nx - Px*Ny)/crosslen`private, |
155 |
> |
crosslen`P = Nx*Nx + Ny*Ny; |
156 |
> |
{ U is distance from projected Z-axis } |
157 |
> |
U = if( crosslen`P - FTINY, |
158 |
> |
(Py*Nx - Px*Ny)/crosslen`P, |
159 |
|
Px); |
160 |
|
{ V is defined so that N = U x V } |
161 |
< |
V = if( crosslen`private - FTINY, |
162 |
< |
Pz - Nz*(Px*Nx + Py*Ny)/crosslen`private, |
161 |
> |
V = if( crosslen`P - FTINY, |
162 |
> |
Pz - Nz*(Px*Nx + Py*Ny)/crosslen`P, |
163 |
|
Py); |