@ -1,26 +1,31 @@
vec3 foregroundColor = vec3 ( .0841 , .5329 , .9604 ) ;
vec3 foregroundColor = vec3 ( .0841 , .5329 , .9604 ) ;
vec3 groundColor = vec3 ( .2 , .3 , .5 ) ;
vec4 groundSpecular = vec4 ( .71 , .71 , .71 , 10. ) ;
uniform float uTime ; // TIME, IN SECONDS
uniform int flags ;
uniform vec4 rot ;
uniform float dFL ;
//FLAGS 0-TEX, 1-RT, 2-CLOUD, 3-TEX_ROT
//FLAGS 0-TEX, 1-RT, 2-MOVED, 3-FLASH, 4-TEX_ROT, 5-CLOUD
uniform vec4 rot ; //ROTATION VALUES USED TO CALCULATE TRANSFORMATION MATRIX
//rot=[cosx, sinx, cosy, siny], x, y BING ROTATED ANGLE
uniform float dFL ; //DELTA on FOCAL LENGTH
uniform vec3 fDir ; //Flash light direction
varying vec3 vPos ; // -1 < vPos.x < +1
// -1 < vPos.y < +1
// vPos.z == 0
float fl = 3. ;
float fl = 3. ; //ORIGINAL FOCAL LENGTH
const float pi = 3.14159265359 ;
const int n_ref = 6 ;
const int ns = 2 ;
const float _2pi = 2. * pi ;
const int n_ref = 5 ; //<<=======***********************MAX NUMBER OF RAY TRACING RECURRSIONS. INCREASE IT IF YOUR GRAPHICS CARD CAN HANDLE.****************************
//const int ns=4; ns is added from .js
vec4 Sph [ ns ] ;
uniform sampler2D uSampler [ ns ] ;
vec3 Ambient [ ns ] ;
vec3 Diffuse [ ns ] ;
vec4 Specular [ ns ] ;
struct Sphere {
float ks [ ns ] ;
struct Sphere { //UPDATED SPHERE STRUCTURE THAT SUPPORTS TRANSPARENCY.(UNUSED)
vec4 Pos ;
vec3 Ambient ;
vec3 Diffuse ;
@ -28,7 +33,7 @@ struct Sphere{
int textureid ;
float ks , kt ;
} ;
struct RT {
struct RT { //STACK FOR RECURSIVE RAY TRACING.
vec3 color ;
float ks ;
// vec3 colorr;
@ -45,24 +50,31 @@ float clampv(float val,float l,float h){
return val < l ? l : val > h ? h : val ;
}
void main ( ) {
////////////////////////////////////////////////
//
// HERE, FOR YOUR HOMEWORK, YOU CAN WRITE ANY
// CODE YOU LIKDEFINE A COLOR FOR THIS FRAGMENT.
// LIGHT DIRECTION AND COLOR
//* I USED LDir AS LIGHT POSITION
//* I NORMALIZED IT AFTER GETTING THE
//* DIRECTION BY SUBTRACTING IT FROM THE POINT
vec3 LDir = vec3 ( .5 , .5 , .5 ) ;
vec3 LCol = vec3 ( 1. , 1. , 1. ) ;
// SPHERE
Sph [ 3 ] = vec4 ( .9 * sin ( uTime * .4 ) , 0. , .9 * cos ( uTime * .4 ) , .25 ) ;
Sph [ 2 ] = vec4 ( .22 * sin ( uTime * 1.2 ) , 0.05 , .22 * cos ( uTime * 1.2 ) , .02 ) ;
Sph [ 0 ] = vec4 ( .45 * sin ( uTime ) , 0.05 * cos ( uTime + 1. ) , .45 * cos ( uTime ) , .1 ) ;
Sph [ 1 ] = vec4 ( 0. , 0. , 0. , .15 ) ;
Sph [ 0 ] = vec4 ( .5 * sin ( uTime ) , 0. , .5 * cos ( uTime ) , .2 ) ;
Sph [ 1 ] = vec4 ( 0. , 0. , 0. , .2 ) ;
// SURFACE REFLECTANCE PROPERTIES
// SURFACE REFLECTANCE PROPERTIES, can be transferred from .js
Ambient [ 3 ] = vec3 ( .1 , .1 , .1 ) ; // r,g,b
Diffuse [ 3 ] = vec3 ( .71 , .71 , .71 ) ; // r,g,b
Specular [ 3 ] = vec4 ( .71 , .71 , .71 , 10. ) ; // r,g,b,power
Ambient [ 2 ] = vec3 ( .1 , .05 , .05 ) ; // r,g,b
Diffuse [ 2 ] = vec3 ( .71 , .71 , .71 ) ; // r,g,b
Specular [ 2 ] = vec4 ( .71 , .71 , .71 , 10. ) ; // r,g,b,power
Ambient [ 1 ] = vec3 ( .1 , .05 , .05 ) ; // r,g,b
Diffuse [ 1 ] = vec3 ( 1. , .5 , .5 ) ; // r,g,b
Specular [ 1 ] = vec4 ( 1. , .5 , .5 , 10. ) ; // r,g,b,power
@ -70,32 +82,37 @@ void main(){
Ambient [ 0 ] = vec3 ( .05 , .05 , .1 ) ; // r,g,b
Diffuse [ 0 ] = vec3 ( .5 , .5 , 1. ) ; // r,g,b
Specular [ 0 ] = vec4 ( 1. , .5 , .5 , 20. ) ; // r,g,b,power
ks [ 0 ] = 0.25 ;
ks [ 1 ] = 0.1 ;
ks [ 2 ] = 0.3 ;
ks [ 3 ] = 0.05 ;
// INITIALIZE TO A BACKGROUND COLOR
vec3 color = vec3 ( .2 , .3 , .5 ) ;
float ca = rot . x , sa = rot . y , cb = rot . z , sb = rot . w ;
// COMPUTE THE RAY ORIGIN AND DIRECTION
mat3 transformation , invTr ;
transformation [ 0 ] = vec3 ( ca , sb * sa , sa * cb ) ;
transformation [ 1 ] = vec3 ( 0 , cb , - sb ) ;
transformation [ 2 ] = vec3 ( - sa , ca * sb , ca * cb ) ;
invTr [ 0 ] = vec3 ( ca , 0 , - sa ) ;
mat3 transformation , invTr ; //Transformation matrix for viewpoint.
transformation [ 0 ] = vec3 ( ca , sb * sa , sa * cb ) ; //because the matrices are all the same,
transformation [ 1 ] = vec3 ( 0 , cb , - sb ) ; //We don't need to calculate it for every pixel
transformation [ 2 ] = vec3 ( - sa , ca * sb , ca * cb ) ; //So, we get it from the CPU
invTr [ 0 ] = vec3 ( ca , 0 , - sa ) ; //it's inverse, to calculate texture mapping.
invTr [ 1 ] = vec3 ( sa * sb , cb , ca * sb ) ;
invTr [ 2 ] = vec3 ( cb * sa , - sb , ca * cb ) ;
vec3 trPos = transformation * vec3 ( vPos . xy , - 2 ) ;
vec3 V = transformation * vec3 ( 0. , 0. , fl + dFL ) ;
vec3 trPos = transformation * ( ( dFL + fl + 1. ) / ( fl + 1. ) ) * vec3 ( vPos . xy , - 1 ) ;
// COMPUTE THE RAY ORIGIN AND DIRECTION
vec3 V0 = transformation * vec3 ( 0. , 0. , fl + dFL ) , V = V0 ;
vec3 W = normalize ( trPos - V ) ;
// RAY TRACE TO ALL OBJECTS IN THE SCENE
bool rtxoff = getflag ( flags , 1 ) ;
bool rtxoff = getflag ( flags , 1 ) ,
showtexture = ! getflag ( flags , 0 ) ,
moved = getflag ( flags , 2 ) //,
// flash = true;//getflag(flags, 3)
; //get flags.
// bool hit = false;
int cnt_ref = n_ref ;
for ( int j = 0 ; j < n_ref ; j + + )
{
float tMin = 10000. ;
int iMin = - 1 ;
for ( int i = 0 ; i < ns; i + + ) {
for ( int i = 0 ; i < c ns; i + + ) {
// SHIFT COORDINATES, SO THAT SPHERE IS AT (0,0,0)
vec3 Vp = V - Sph [ i ] . xyz ;
// SOLVE FOR QUADRATIC EQUATION IN t
@ -105,8 +122,8 @@ void main(){
if ( D > 0. ) {
float t = - B - sqrt ( D ) ;
if ( t > 0. && t < tMin ) {
tMin = t ;
iMin = i ;
tMin = t ; //This is an optimization, we don't have to do lighting/tex
iMin = i ; // for objects that are occuluded, which is expensive!
}
}
}
@ -114,47 +131,61 @@ void main(){
if ( iMin >= 0 ) {
float t = tMin ;
vec3 S = V + t * W ;
for ( int i = 0 ; i < ns ; + + i )
if ( i == iMin )
{
//*TEXTURE MAPPING
vec3 tex_sph = invTr * ( S - Sph [ i ] . xyz ) ;
for ( int i = 0 ; i < cns ; + + i )
if ( i == iMin ) //* Because GLSL doesn't support non-const index,
{ //* we have to get Sph[iMin], uSampler[iMin], etc. this way
//*Good old TEXTURE MAPPING from hw1
vec3 tex_sph = ( S - Sph [ i ] . xyz ) ;
if ( moved )
tex_sph = invTr * tex_sph ; //* transform the sphere to original place if view point moved;
//* This is super expensive! plus it's in the inner loop!!
//* We added a flag to disable it when the viewport is not moved!
float R = Sph [ i ] . w ;
float tex_x = acos ( abs ( tex_sph . x ) / sqrt ( R * R - tex_sph . y * tex_sph . y ) ) ;
if ( tex_sph . x > 0. )
tex_x = pi - tex_x ;
tex_x = R * tex_x ;
tex_x * = 1.5708 ; //*Correct aspect ratio of texture 2:1 -> 2pir:2r
tex_x = tex_x + float ( uTime ) * R ;
float _2pir = 2. * pi * R ;
float quo = float ( int ( tex_x / _2pir ) ) ;
tex_x = clampv ( ( tex_x - quo * _2pir ) , 0. , _2pir ) / _2pir ;
tex_x = tex_x + float ( uTime ) ;
float quo = float ( int ( tex_x / _2pi ) ) ;
tex_x = tex_x / _2pi - quo ;
vec3 texture_color ;
if ( ! getflag ( flags , 0 ) )
if ( showtexture )
texture_color = texture2D ( uSampler [ i ] , vec2 ( tex_x , ( ( R - tex_sph . y ) / ( 2. * R ) ) ) ) . xyz ;
else texture_color = foregroundColor ;
vec3 N = normalize ( S - Sph [ i ] . xyz ) ;
//*DIRECTIONS ARE NORMALIZED TO GET THE CORRECT PHONG LIGHTING
vec3 realLDir = normalize ( LDir - S ) ;
vec3 realLDir = normalize ( LDir - S ) ;
color = (
Ambient [ i ]
+ Diffuse [ i ] * max ( 0. , dot ( N , realLDir ) ) * LCol
) * texture_color
;
// + SPECULAR COMPONENT GOES HERE
if ( rtxoff || j == n_ref - 1 )
color + = sqrt ( float ( j + 1 ) ) * Specular [ i ] . xyz * pow ( max ( 0. , dot ( 2. * dot ( N , realLDir ) * N - realLDir , - W ) ) , Specular [ i ] . w ) ;
stack [ j ] = RT ( color , 0.15 ) ;
V = S ;
W = - normalize ( 2. * dot ( N , W ) * N - W ) ;
break ;
if ( rtxoff || j == n_ref - 1 ) //if it's the last ray
color + = sqrt ( float ( j + 1 ) ) * Specular [ i ] . xyz * pow ( max ( 0. ,
dot ( 2. * dot ( N , realLDir ) * N - realLDir , - W ) ) , Specular [ i ] . w ) ;
//*Pushing current color and ks into stack.
//*suppose ks is 0.15 for all spheres, we can
//*of course support different ks, kt for different object
//*but I didn't have time to do that, just a proof of concept,
//*I defined the new sphere structure that could be used in the future.
stack [ j ] = RT ( color , ks [ i ] ) ;
V = S ; //*NEXT RAY SHOOTING FROM THE INTERSECTION POINT
// if(flash && j == 0){
// V0 = V - V0;
// hit = true;
// }
W = - normalize ( 2. * dot ( N , W ) * N - W ) ; //*W is the next direction of the next ray.
break ; // this is only the innerloop, RT is still going!
}
}
else {
// TO SIMIPIFY THINGS UP, I'LL ASSUME THAT EVERYTHING
// IS INSIDE THE BOUNDING BOX [(-1,-1,-1), (1,1,1)]
// AND THERE'S A FLOOR at [y = -1]
// AND THERE'S A FLOOR at [y = -1] THE NORMAL IS (0,1,0)
// Because We assumed that the light always hit sphere first,
// It will have wirld behavior when you rotate the scene upsidedown.
float t = - ( .2 + V . y ) / W . y ;
float sx = V . x + t * W . x , sz = V . z + t * W . z ;
@ -163,28 +194,32 @@ void main(){
vec3 S = vec3 ( sx , - .2 , sz ) ;
vec3 realLDir = normalize ( LDir - S ) ;
color = (
0.5
+ 0.5 * max ( 0. , realLDir . y ) * LCol
0.5 //ambient for ground
+ 0.5 * max ( 0. , realLDir . y ) * LCol //diffusion for ground
) * groundColor
;
// + SPECULAR COMPONENT GOES HERE
if ( rtxoff || j == n_ref - 1 )
color + = sqrt ( float ( j + 1 ) ) * groundSpecular . xyz *
color + = sqrt ( float ( j + 1 ) ) * groundSpecular . xyz * //specular for ground.
pow ( max ( 0. , dot ( vec3 ( - realLDir . x , realLDir . y , - realLDir . z ) , - W ) ) , groundSpecular . w ) ;
stack [ j ] = RT ( color , 0.1 ) ;
V = S ;
W = vec3 ( W . x , - W . y , W . z ) ;
stack [ j ] = RT ( color , 0.15 ) ; //ks of ground is 0.1
V = S ; //Same as above, trace again from S, dir = reflect(W, N).
// if(flash && j == 0){
// V0 = W;
// hit = true;
// }
W = vec3 ( W . x , - W . y , W . z ) ;
}
else {
if ( j > 0 )
{
// If the light bounces away! The color of it is calculated by
stack [ j ] = RT ( sqrt ( float ( j + 1 ) ) * vec3 ( 4. , 4. , 4 ) * pow ( max ( 0. , dot ( W , normalize ( LDir - V ) ) ) , 10. ) , 0. ) ;
cnt_ref = j + 1 ;
}
else
cnt_ref = j ;
break ;
else //If the light hits the void in the first place, it's just black!
cnt_ref = j ; //j is always 0 in this case.
break ; //The light is shooting into the void, let's stop RT.
}
}
// RTX off
@ -199,9 +234,9 @@ void main(){
float currks = 1. ;
for ( int i = 0 ; i < n_ref ; + + i )
{
if ( i >= cnt_ref )
if ( i >= cnt_ref ) //same trick to use bounded non-const on indexes
{
color + = currks * stack [ i - 1 ] . color ;
color + = currks * stack [ i - 1 ] . color ; //if there're less than n_ref rays, e.g. ray go to the void.
break ;
}
color + = currks * ( 1. - stack [ i ] . ks ) * stack [ i ] . color ;
@ -211,6 +246,7 @@ void main(){
color + = currks * stack [ n_ref - 1 ] . color ;
}
// APPLY GAMMA CORRECTION AND SET THE PIXEL COLOR.
gl_FragColor = vec4 ( sqrt ( color ) , 1. ) ;
}