How do I replicate a square in GLSL to make a pattern? - opengl

I am learning how to create shapes in GLSL code and I recently made a star-like shape in the center of a square using the following code:
#idef GL_ES
precision mediump float;
#endif
uniform vec2 u_resolution;
uniform vec2 u_time;
void main(){
vec2 st = gl_FragCoord.xy/u_resolution.xy;
st.x *= u_resolution.x/u_resolution.y;
vec3 color = vec3(0.0);
float d = 0.0;
// Remap space to -1 to 1.
st = st *2.-1.;
// Make Distance Field
d = length(abs(st)-.3);
d = length(min(abs(st)-.3, 0.));
// Visualize the Distance Field
gl_FragColor = vec4(vec3(fract(d*10.0)), 1.0);
// Draw with the distance field
gl_FragColor = vec4(vec3(step(.3, d)), 1.0);
}
I now want to try to replicate this square design into a bordered tile-like pattern but I don't know how to modify my code to duplicate it into columns. Can anyone help?

Just scale st by the number of tiles and get the fractional part of the result by fract(). For instance:
void main()
{
vec2 st = gl_FragCoord.xy/u_resolution.xy;
st.x *= u_resolution.x/u_resolution.y;
float tiles = 5.0;
st = fract(st * tiles);
// [...]
}
In your example you have to adapt the computation of the distance filed slightly (0.3 -> 0.32):
// Make Distance Field
d = length(abs(st)-.32);
d = length(min(abs(st)-.32, 0.));
See the WebGL example using the fragment shader from your question:
(function loadscene() {
var canvas, gl, vp_size, prog, bufObj = {};
function initScene() {
canvas = document.getElementById( "ogl-canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return;
progDraw = gl.createProgram();
for (let i = 0; i < 2; ++i) {
let source = document.getElementById(i==0 ? "draw-shader-vs" : "draw-shader-fs").text;
let shaderObj = gl.createShader(i==0 ? gl.VERTEX_SHADER : gl.FRAGMENT_SHADER);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
let status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
gl.attachShader(progDraw, shaderObj);
gl.linkProgram(progDraw);
}
status = gl.getProgramParameter(progDraw, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(progDraw));
progDraw.inPos = gl.getAttribLocation(progDraw, "inPos");
progDraw.u_time = gl.getUniformLocation(progDraw, "u_time");
progDraw.u_resolution = gl.getUniformLocation(progDraw, "u_resolution");
gl.useProgram(progDraw);
var pos = [ -1, -1, 1, -1, 1, 1, -1, 1 ];
var inx = [ 0, 1, 2, 0, 2, 3 ];
bufObj.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( pos ), gl.STATIC_DRAW );
bufObj.inx = gl.createBuffer();
bufObj.inx.len = inx.length;
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( inx ), gl.STATIC_DRAW );
gl.enableVertexAttribArray( progDraw.inPos );
gl.vertexAttribPointer( progDraw.inPos, 2, gl.FLOAT, false, 0, 0 );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight];
//vp_size = [256, 256]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function render(deltaMS) {
gl.viewport( 0, 0, canvas.width, canvas.height );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
gl.uniform1f(progDraw.u_time, deltaMS/1000.0);
gl.uniform2f(progDraw.u_resolution, canvas.width, canvas.height);
gl.drawElements( gl.TRIANGLES, bufObj.inx.len, gl.UNSIGNED_SHORT, 0 );
requestAnimationFrame(render);
}
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
#version 100
//precision mediump float;
attribute vec2 inPos;
//varying vec2 ndcPos;
void main()
{
//ndcPos = inPos;
gl_Position = vec4( inPos.xy, 0.0, 1.0 );
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
precision mediump float;
//varying vec2 ndcPos; // normaliced device coordinates in range [-1.0, 1.0]
uniform float u_time;
uniform vec2 u_resolution;
void main()
{
vec2 st = gl_FragCoord.xy/u_resolution.xy;
st.x *= u_resolution.x/u_resolution.y;
float tiles = 5.0;
st = fract(st * tiles);
vec3 color = vec3(0.0);
float d = 0.0;
// Remap space to -1 to 1.
st = st *2.-1.;
// Make Distance Field
d = length(abs(st)-.32);
d = length(min(abs(st)-.32, 0.));
// Visualize the Distance Field
gl_FragColor = vec4(vec3(fract(d*10.0)), 1.0);
// Draw with the distance field
gl_FragColor = vec4(vec3(step(.3, d)), 1.0);
}
</script>
<canvas id="ogl-canvas" style="border: none"></canvas>

Related

How to fill the area below a curve in a glsl fragment shader?

I'm using the following code to plot a sine-wave curve:
#ifdef GL_ES
precision mediump float;
#endif
uniform vec2 u_resolution;
uniform float u_time;
const float AMPLITUDE = 0.125;
const float PERIOD = 1.0;
const float VELOCITY = 8.0;
const vec3 COLOR1 = vec3(1.0, 0.5, 0.0);
const vec3 COLOR2 = vec3(1.0, 0.0, 0.0);
#define PI 3.141592653589793
#define TWO_PI 6.283185307179586
void main() {
vec2 uv = gl_FragCoord.xy / u_resolution;
float phase = u_time * VELOCITY / PI;
float curve = AMPLITUDE * sin(uv.x * TWO_PI / PERIOD - phase);
float shape = step(distance(curve + uv.y, 0.5), 1.0 / u_resolution.x);
vec3 color = (1.0 - shape) * COLOR2 + shape * COLOR1;
gl_FragColor = vec4(color, 1.0);
}
Which produces this image:
I would like to fill the area below the curve with COLOR1, as in this image:
You only need to test if curve is greater than uv.y - 0.5. Use the step for this:
step(edge, x)
step generates a step function by comparing x to edge.
For element i of the return value, 0.0 is returned if x[i] < edge[i], and 1.0 is returned otherwise.
e.g:
float shape = step(distance(curve + uv.y, 0.5), 1.0 / u_resolution.x);
float shape = step(uv.y - 0.5, curve);
(function loadscene() {
var canvas, gl, vp_size, prog, bufObj = {};
function initScene() {
canvas = document.getElementById( "ogl-canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return;
progDraw = gl.createProgram();
for (let i = 0; i < 2; ++i) {
let source = document.getElementById(i==0 ? "draw-shader-vs" : "draw-shader-fs").text;
let shaderObj = gl.createShader(i==0 ? gl.VERTEX_SHADER : gl.FRAGMENT_SHADER);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
let status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
gl.attachShader(progDraw, shaderObj);
gl.linkProgram(progDraw);
}
status = gl.getProgramParameter(progDraw, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(progDraw));
progDraw.inPos = gl.getAttribLocation(progDraw, "inPos");
progDraw.u_time = gl.getUniformLocation(progDraw, "u_time");
progDraw.u_resolution = gl.getUniformLocation(progDraw, "u_resolution");
gl.useProgram(progDraw);
var pos = [ -1, -1, 1, -1, 1, 1, -1, 1 ];
var inx = [ 0, 1, 2, 0, 2, 3 ];
bufObj.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( pos ), gl.STATIC_DRAW );
bufObj.inx = gl.createBuffer();
bufObj.inx.len = inx.length;
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( inx ), gl.STATIC_DRAW );
gl.enableVertexAttribArray( progDraw.inPos );
gl.vertexAttribPointer( progDraw.inPos, 2, gl.FLOAT, false, 0, 0 );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight];
//vp_size = [256, 256]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function render(deltaMS) {
gl.viewport( 0, 0, canvas.width, canvas.height );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
gl.uniform1f(progDraw.u_time, deltaMS/1000.0);
gl.uniform2f(progDraw.u_resolution, canvas.width, canvas.height);
gl.drawElements( gl.TRIANGLES, bufObj.inx.len, gl.UNSIGNED_SHORT, 0 );
requestAnimationFrame(render);
}
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
#version 100
attribute vec2 inPos;
void main()
{
//ndcPos = inPos;
gl_Position = vec4( inPos.xy, 0.0, 1.0 );
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
#ifdef GL_ES
precision mediump float;
#endif
uniform vec2 u_resolution;
uniform float u_time;
const float AMPLITUDE = 0.125;
const float PERIOD = 1.0;
const float VELOCITY = 8.0;
const vec3 COLOR1 = vec3(1.0, 0.5, 0.0);
const vec3 COLOR2 = vec3(1.0, 0.0, 0.0);
#define PI 3.141592653589793
#define TWO_PI 6.283185307179586
void main() {
vec2 uv = gl_FragCoord.xy / u_resolution;
float phase = u_time * VELOCITY / PI;
float curve = AMPLITUDE * sin(uv.x * TWO_PI / PERIOD - phase);
//float shape = step(distance(curve + uv.y, 0.5), 1.0 / u_resolution.x);
float shape = step(uv.y - 0.5, curve);
vec3 color = mix(COLOR2, COLOR1, shape);
gl_FragColor = vec4(color, 1.0);
}
</script>
<canvas id="ogl-canvas" style="border: none"></canvas>

Rectangular/square gradient in shader

my first question got closed. Since then I've added some code and made some progress. However, the gradient generated is circular and I currently don't know how to transform it into a square.
Here is my current result:
Target result(along these lines):
Here is my fragment shader:
precision highp float;
varying vec2 vTextureCoord;
uniform float centerX;
uniform float centerY;
uniform vec4 colors[4];
uniform float steps[4];
void main() {
vec3 map = vec3(vTextureCoord, 1);
vec2 uv = map.xy;
float dist = distance(vTextureCoord, vec2(centerX, centerY));
highp vec4 col = colors[0];
for (int i = 1; i < 4; ++i) {
col = mix(col, colors[i], smoothstep(steps[i - 1], steps[i], dist));
}
float factor = max(abs(uv.x - centerX), abs(uv.y - centerY));
float c = 1. - max(abs(uv.x - centerX), abs(uv.y - centerY));
vec4 finalColor = vec4((col.r - factor), (col.g - factor), (col.b - factor), 1.);
gl_FragColor = finalColor;
}
The parameters passed are:
Colors: [[1, 0, 0], [1, 1, 1], [1, 0, 0], [0, 1, 0]]
Steps: [0, 0.29, 0.35, 1]
Using texture coordinates
Below is an example that uses texture coordinates in the range 0 - 1 which makes the center of the gradient at 0.5, 0.5. Thus to compute the gradient we must normalize the distance from the center from the range 0 - 0.5 to 0 - 1. This is done by dividing by 0.5 or the reciprocal (as in example) multiplying by 2 (as multiplication is always the better option than division)
Simplifying the shader
Also your method of calculating the gradient color at each fragment is computationally expensive. For each gradient (3 in this case) you call smoothstep and then mix, yet for each fragment 2 of those calculations do nothing of consequence to the computed color.
The example below reduces the computations by checking if the distance is within a particular gradient, and only if within then computes the color assigning to gl_FragColor and then breaks out of the loop
I can not workout if you want the gradient to darken to the edges as your first image and code (and accepted answer) suggest, or it is the second image in your question that is the result you want. The example assumes that you want the second image.
const shaders = {
vs: `attribute vec2 vert;
varying vec2 uv;
void main() {
uv = (vert + 1.0) / 2.0; // normalize texture coords
gl_Position = vec4(vert, 0.0, 1.0);
}`,
fs: `precision mediump float;
varying vec2 uv;
uniform vec3 colors[4];
uniform float steps[4];
void main(){
vec2 gradXY = abs(uv - 0.5); // 0.5 is centerX, centerY
float dist = pow(max(gradXY.x, gradXY.y) * 2.0, 2.0);
float start = steps[0];
for (int i = 1; i < 4; i++) {
float end = steps[i];
if (dist >= start && dist <= end) {
gl_FragColor = vec4(mix(colors[i - 1], colors[i], (dist-start) / (end-start)), 1);
break;
}
start = end;
}
}`,};
const F32A = a => new Float32Array(a), UI16A = a => new Uint16Array(a);
const GLBuffer = (data, type = gl.ARRAY_BUFFER, use = gl.STATIC_DRAW, buf) => (gl.bindBuffer(type, buf = gl.createBuffer()), gl.bufferData(type, data, use), buf);
const GLLocs = (shr, type, ...names) => names.reduce((o,name) => (o[name] = (gl[`get${type}Location`])(shr, name), o), {});
const GLShader = (prg, source, type = gl.FRAGMENT_SHADER, shr) => {
gl.shaderSource(shr = gl.createShader(type), source);
gl.compileShader(shr);
gl.attachShader(prg, shr);
}
var W;
const gl = canvas.getContext("webgl");
requestAnimationFrame(render);
addEventListener("resize", render);
const prog = gl.createProgram();
GLShader(prog, shaders.vs, gl.VERTEX_SHADER);
GLShader(prog, shaders.fs);
gl.linkProgram(prog);
gl.useProgram(prog);
const locs = GLLocs(prog, "Uniform", "colors", "steps");
const vert = GLLocs(prog, "Attrib", "vert").vert;
GLBuffer(F32A([-1,-1, 1,-1, 1,1, -1,1]));
GLBuffer(UI16A([1,2,3, 0,1,3]), gl.ELEMENT_ARRAY_BUFFER);
gl.enableVertexAttribArray(vert);
gl.vertexAttribPointer(vert, 2, gl.FLOAT, false, 0, 0);
function render() {
gl.viewport(0, 0, W = canvas.width = Math.min(innerWidth,innerHeight), canvas.height = W);
gl.uniform3fv(locs.colors, F32A([1,1,1, 1,0,0, 1,1,1, 0,0,0]));
gl.uniform1fv(locs.steps, F32A([0, 1/3, 2/3, 1]));
gl.drawElements(gl.TRIANGLES, 6, gl.UNSIGNED_SHORT, 0);
}
body {
margin: 0px;
}
canvas {
position: absolute;
top: 0px;
left: 0px;
background: black;
}
<canvas id="canvas"></canvas>
Question ambiguities
The are a number of ambiguities in your question which are addressed in the following
The pow function in the example line ...
float dist = pow(max(gradXY.x, gradXY.y) * 2.0, 2.0);
... is the an approximation of your use of smoothstep(steps[i - 1], steps[i], dist) when you calculate the col (assuming the dist range of 0 - 0.5). If you want the full Hermite curve you can replace the line with ...
float distL = max(gradXY.x, gradXY.y) * 2.0;
float dist = distL * distL * (3.0 - 2.0 * distL);
.. and if you want the darkening to the edge as in the questions first image use the following line when calculating the frag color. NOTE assuming colors are vec4 not vec3 make appropriate mods if you use the example code.
FragColor = mix(colors[i - 1], colors[i], (dist-start) / (end-start)) - vec4(vec3(distL * 0.5),0);
or if not using Hermite curve
FragColor = mix(colors[i - 1], colors[i], (dist-start) / (end-start)) - vec4(vec3(dist * 0.5),0);
A square gradient can be achieved by computing the maximum distance of both axis:
float dist = distance(vTextureCoord, vec2(centerX, centerY));
vec2 distV = vTextureCoord - vec2(centerX, centerY);
float dist = max(abs(distV.x), abs(distV.y));
Complete example:
(function loadscene() {
var canvas, gl, vp_size, prog, bufObj = {};
function initScene() {
canvas = document.getElementById( "ogl-canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return;
progDraw = gl.createProgram();
for (let i = 0; i < 2; ++i) {
let source = document.getElementById(i==0 ? "draw-shader-vs" : "draw-shader-fs").text;
let shaderObj = gl.createShader(i==0 ? gl.VERTEX_SHADER : gl.FRAGMENT_SHADER);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
let status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
gl.attachShader(progDraw, shaderObj);
gl.linkProgram(progDraw);
}
status = gl.getProgramParameter(progDraw, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(progDraw));
progDraw.inPos = gl.getAttribLocation(progDraw, "inPos");
progDraw.u_time = gl.getUniformLocation(progDraw, "u_time");
progDraw.u_resolution = gl.getUniformLocation(progDraw, "u_resolution");
gl.useProgram(progDraw);
var pos = [ -1, -1, 1, -1, 1, 1, -1, 1 ];
var inx = [ 0, 1, 2, 0, 2, 3 ];
bufObj.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( pos ), gl.STATIC_DRAW );
bufObj.inx = gl.createBuffer();
bufObj.inx.len = inx.length;
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( inx ), gl.STATIC_DRAW );
gl.enableVertexAttribArray( progDraw.inPos );
gl.vertexAttribPointer( progDraw.inPos, 2, gl.FLOAT, false, 0, 0 );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight];
//vp_size = [256, 256]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function render(deltaMS) {
gl.viewport( 0, 0, canvas.width, canvas.height );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
gl.uniform1f(progDraw.u_time, deltaMS/1000.0);
gl.uniform2f(progDraw.u_resolution, canvas.width, canvas.height);
gl.drawElements( gl.TRIANGLES, bufObj.inx.len, gl.UNSIGNED_SHORT, 0 );
requestAnimationFrame(render);
}
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
#version 100
attribute vec2 inPos;
varying vec2 ndcPos;
void main()
{
ndcPos = inPos;
gl_Position = vec4( inPos.xy, 0.0, 1.0 );
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec2 ndcPos; // normaliced device coordinates in range [-1.0, 1.0]
uniform float u_time;
uniform vec2 u_resolution;
#define FILL
void main()
{
vec4 colors[4];
colors[0] = vec4(1.0, 0.0, 0.0, 1.0);
colors[1] = vec4(0.0, 1.0, 0.0, 1.0);
colors[2] = vec4(0.0, 0.0, 1.0, 1.0);
colors[3] = vec4(1.0, 1.0, 1.0, 1.0);
float steps[4];
steps[0] = 0.2;
steps[1] = 0.4;
steps[2] = 0.6;
steps[3] = 0.8;
vec2 uv = ndcPos.xy;
uv.x *= u_resolution.x / u_resolution.y;
vec2 vTextureCoord = uv;
float centerX = 0.0;
float centerY = 0.0;
//float dist = distance(vTextureCoord, vec2(centerX, centerY));
vec2 distV = vTextureCoord - vec2(centerX, centerY);
float dist = max(abs(distV.x), abs(distV.y));
highp vec4 col = colors[0];
for (int i = 1; i < 4; ++i) {
col = mix(col, colors[i], smoothstep(steps[i - 1], steps[i], dist));
}
float factor = max(abs(uv.x - centerX), abs(uv.y - centerY));
float c = 1. - max(abs(uv.x - centerX), abs(uv.y - centerY));
vec4 finalColor = vec4((col.r - factor), (col.g - factor), (col.b - factor), 1.);
gl_FragColor = finalColor;
}
</script>
<canvas id="ogl-canvas" style="border: none"></canvas>

GLSL plot disk sector. Problem with clamp'ing angle

My glsl code to plot disk sector:
const float PI = 3.141592653;
vec4 white = vec4(1.0,1.0,1.0,1.0);
vec4 black = vec4(0.0,0.0,0.0,1.0);
vec2 p = (gl_FragCoord.xy * 2.0 - resolution)/min(resolution.x,resolution.y);
float sector(vec2 c, vec2 p, float r, float sa, float alpha){
float l = abs(distance(p,c));
float t = smoothstep(r, r + bl, l);
vec2 uv = p - c;
a = atan(uv.y,uv.x);
t = a >= sa ? t : 1.0;
t = a <= sa + alpha ? t : 1.0;
return t;
}
float t = sector(vec2(0.0,0.1),p,0.1,PI/2.0,PI/3.0);
gl_FragColor = mix(white,black,t);
The code works. But it has a flaw that atan(y,x) returns values in a range of [-π,π].
To circumvent this issue, I am trying to clamp the atan result angle in a range of [0,2π]:
a = clamp(2.0*PI + atan(uv.y,uv.x), 0.0, 2.0*PI);
After above replacement there is nothing that is showed on screen. The disk sector did not show up even for legal atan values. What am I doing wrong?
EDIT
Thanks to the person who answered this topic. I spent too much time on this mistake. In case someone is interested in the solution to this, I made some code changes to reflect that the result angle can be in different unit circle quadrants.
float sector(vec2 c, vec2 p, float r, float sa, float alpha){
float l = abs(distance(p,c));
float t = smoothstep(r, r + bl, l);
vec2 uv = p - c;
float a = atan(uv.y,uv.x);
a = step(sign(a),0.0)*TWO_PI + a;
t = a >= sa ? t : 1.0;
t = a <= sa + alpha ? t : 1.0;
return t;
}
The result of
a = clamp(2.0*PI + atan(uv.y,uv.x), 0.0, 2.0*PI);
is in range [PI, 2*PI], because the result of 2.0*PI + atan(uv.y,uv.x) is in range [PI, 3*PI].
It has to be
a = clamp(PI + atan(uv.y,uv.x), 0.0, 2.0*PI);
But since the result of atan is always in range [-PI, PI], it is sufficient to do:
a = PI + atan(uv.y, uv.x);
If you just want to make the negative range ([0.0, 2*PI]) become positive, then you've to add 2*PI in case when the angle is negative:
e.g.
a = atan(uv.y, uv.x);
if (a < 0.0) a += 2.0*PI;
or
a = atan(uv.y, uv.x);
a = step(sign(a),0.0)*2.0*TWO_PI + a;
or even
a = PI - atan(uv.y, -uv.x);
(function loadscene() {
var canvas, gl, vp_size, prog, bufObj = {};
function initScene() {
canvas = document.getElementById( "ogl-canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return;
progDraw = gl.createProgram();
for (let i = 0; i < 2; ++i) {
let source = document.getElementById(i==0 ? "draw-shader-vs" : "draw-shader-fs").text;
let shaderObj = gl.createShader(i==0 ? gl.VERTEX_SHADER : gl.FRAGMENT_SHADER);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
let status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
gl.attachShader(progDraw, shaderObj);
gl.linkProgram(progDraw);
}
status = gl.getProgramParameter(progDraw, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(progDraw));
progDraw.inPos = gl.getAttribLocation(progDraw, "inPos");
progDraw.u_time = gl.getUniformLocation(progDraw, "time");
progDraw.u_resolution = gl.getUniformLocation(progDraw, "resolution");
gl.useProgram(progDraw);
var pos = [ -1, -1, 1, -1, 1, 1, -1, 1 ];
var inx = [ 0, 1, 2, 0, 2, 3 ];
bufObj.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( pos ), gl.STATIC_DRAW );
bufObj.inx = gl.createBuffer();
bufObj.inx.len = inx.length;
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( inx ), gl.STATIC_DRAW );
gl.enableVertexAttribArray( progDraw.inPos );
gl.vertexAttribPointer( progDraw.inPos, 2, gl.FLOAT, false, 0, 0 );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function resize() {
vp_size = [window.innerWidth, window.innerHeight];
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function render(deltaMS) {
gl.viewport( 0, 0, canvas.width, canvas.height );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
gl.uniform1f(progDraw.u_time, deltaMS/2000.0);
gl.uniform2f(progDraw.u_resolution, canvas.width, canvas.height);
gl.drawElements( gl.TRIANGLES, bufObj.inx.len, gl.UNSIGNED_SHORT, 0 );
requestAnimationFrame(render);
}
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
precision mediump float;
attribute vec2 inPos;
varying vec2 ndcPos;
void main()
{
ndcPos = inPos;
gl_Position = vec4( inPos.xy, 0.0, 1.0 );
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec2 ndcPos; // normaliced device coordinates in range [-1.0, 1.0]
uniform float time;
uniform vec2 resolution;
const float PI = 3.141592653;
float sector(vec2 c, vec2 p, float r, float sa, float alpha){
float bl = 0.1;
float l = abs(distance(p, c ));
float t = smoothstep(r-bl, r + bl, l);
vec2 uv = p - c;
//float a = atan(uv.y, uv.x);
//if (a < 0.0) a += 2.0*PI;
float a = PI - atan(uv.y, -uv.x);
t = a >= sa ? t : 1.0;
t = a <= sa + alpha ? t : 1.0;
return t;
}
void main()
{
vec4 white = vec4(1.0,1.0,1.0,1.0);
vec4 black = vec4(0.0,0.0,0.0,1.0);
vec2 p = (gl_FragCoord.xy * 2.0 - resolution)/min(resolution.x,resolution.y);
float t = sector(vec2(0.0), p, 0.9, 0.0, mod(time, 2.0*PI));
gl_FragColor = mix(white,black,t);
}
</script>
<canvas id="ogl-canvas" style="border: none"></canvas>

OpenGL Lighting on texture plane is not working

I want to light to the texture plane but this is not work. Light on solid sphere is very well, but texture plane is not light.
Whole Image
Lighting on solid-sphere is working well.
But, lighting on texture plane is not working. (GL_DECAL, GL_REPLACE; I also tried GL_MODULATE)
This is a snippet of my rendering code. (Whole code on GitHub)
Loading texture.
sf::Image image;
if (!image.loadFromFile(path))
return false;
glGenTextures(1, &id);
glBindTexture(GL_TEXTURE_2D, id);
glTexImage2D(
GL_TEXTURE_2D, 0, GL_RGBA,
image.getSize().x, image.getSize().y, 0,
GL_RGBA, GL_UNSIGNED_BYTE,
image.getPixelsPtr()
);
glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_REPEAT);
glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_REPEAT);
glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR);
glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR);
Initialize
glClearColor(0.0f, 0.0f, 0.0f, 1.0f);
glClearDepth(1.0f);
glEnable(GL_DEPTH_TEST);
glDepthFunc(GL_LEQUAL);
glShadeModel(GL_SMOOTH);
//glEnable(GL_CULL_FACE);
glFrontFace(GL_CCW);
glHint(GL_PERSPECTIVE_CORRECTION_HINT, GL_NICEST);
glutSetCursor(GLUT_CURSOR_NONE);
light.Init();
camera.SetPin((GLfloat)width / 2, (GLfloat)height/2);
Display Callback
adjustPerspective();
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glEnable(GL_LIGHTING);
glPushMatrix();
camera.SetLookAt();
light.On();
// TODO: dsiplay processing
for (auto& obj : display_objs)
{
glPushMatrix();
obj->Draw();
glPopMatrix();
}
glPopMatrix();
// print fps and swap buffers
Light Initialize Function
glEnable(GL_LIGHTING);
glEnable(GL_LIGHT0);
glColorMaterial(GL_FRONT, GL_AMBIENT_AND_DIFFUSE);
glEnable(GL_COLOR_MATERIAL);
// Set lighting intensity and color
glLightfv(GL_LIGHT0, GL_AMBIENT, qaAmbientLight);
glLightfv(GL_LIGHT0, GL_DIFFUSE, qaDiffuseLight);
glLightfv(GL_LIGHT0, GL_POSITION, qaLightPosition);
glLightfv(GL_LIGHT0, GL_SPECULAR, qaSpecularLight);
////////////////////////////////////////////////
glLightf(GL_LIGHT0, GL_SPOT_CUTOFF, 80.0);// set cutoff angle
glLightfv(GL_LIGHT0, GL_SPOT_DIRECTION, dirVector0);
glLightf(GL_LIGHT0, GL_SPOT_EXPONENT, 10.0); // set focusing strength
Light.On() Function
glPushMatrix();
glTranslatef(2.0, 10.0, 2.0);
//glRotatef(90, 1, 0, 0);
glLightfv(GL_LIGHT0, GL_POSITION, qaLightPosition);
glLightfv(GL_LIGHT0, GL_SPOT_DIRECTION, dirVector0);
glPopMatrix();
glPushMatrix();
glDisable(GL_LIGHTING);
glTranslatef(2.0, 0.0, 2.0);
glRotatef(-90.0, 1.0, 0.0, 0.0);
glutWireCone(tan(80.0 / 180.0 * 3.14159265),10.0,20,20);
glEnable(GL_LIGHTING);
glPopMatrix();
And this is texture plane draw function.
float tile_x = 0.125;
glTranslatef(x, y, z);
glEnable(GL_BLEND);
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
glEnable(GL_TEXTURE_2D);
glBindTexture(GL_TEXTURE_2D, tex.GetId());
glTexEnvf(GL_TEXTURE_ENV, GL_TEXTURE_ENV_MODE, GL_MODULATE);
glBegin(GL_QUADS);
// Both of the following cases not work.
glNormal3f(0, -1, 0);
glNormal3f(0, 1, 0);
glTexCoord2f(0.0, 0.0); glVertex3f(0, 0, 0);
glTexCoord2f(height*tile_x, 0.0); glVertex3f(0, 0, width);
glTexCoord2f(height*tile_x, width*tile_x); glVertex3f(height, 0, width);
glTexCoord2f(0.0, width*tile_x); glVertex3f(height, 0, 0);
glEnd();
glDisable(GL_TEXTURE_2D);
glDisable(GL_BLEND);
I changed the vector direction, changed the glTexEnvf attribute, changed the order of the code, but did not fix the error. I think there is a fundamental error in my code, but I can not find it. Why is this happening, and how do I fix it?
I want to light to the texture plane but this is not work. Light on solid sphere is very well, but texture plane is not light.
This is an issue caused by the Gouraud Shading model of the OpenGLs standard light model. While Phong shading in common means the technique, which does the light calculations per fragment, at Gouraud Shading, the light calculations are done per vertex. The calculated light is interpolated according to the Barycentric coordinate of the fragment on the primitive.
This means that in your case the light is calculated for the corners of the ground quad. This so calculated light is interpolated for all the fragments in between. The angel of the normal vector at the corners to the light vector tends to 90°. Because of that the entire ground quad looks almost unlit.
Since the light is calculated per vertex, then the light is calculated for more positions than the the 4 corners of the quad and the quality increases. Note, the light on the spheres looks almost perfect, because a sphere consists of a lot of vertices around its shape.
Try the following code, which splits the quad into tiles:
int tiles = 5;
float u_max = height*tile_x;
float v_max = width*tile_x
glBegin(GL_QUADS);
glNormal3f(0, 1, 0);
for (int x=0; x < tiles; ++x)
{
for (int y=0; y < tiles; ++y)
{
x0 = (float)x/(float)tiles;
x1 = (float)(x+1)/(float)tiles;
y0 = (float)y/(float)tiles;
y1 = (float)(y+1)/(float)tiles;
glTexCoord2f(u_max*x0, v_max*y0); glVertex3f(height*x0, 0, widht*y0);
glTexCoord2f(u_max*x1, v_max*y0); glVertex3f(height*x0, 0, widht*y1);
glTexCoord2f(u_max*x1, v_max*y1); glVertex3f(height*x1, 0, widht*y1);
glTexCoord2f(u_max*x0, v_max*y1); glVertex3f(height*x1, 0, widht*y0);
}
}
glEnd();
Of course you can also write your own shader and implement per fragment lighting. But the deprecated fixed function pipeline OpenGL standard light model does not support per fragment lighting.
See the difference in the WebGL example:
(function loadscene() {
var resize, gl, gouraudDraw, phongDraw, vp_size;
var bufSphere = {};
function render(delteMS){
var shading = document.getElementById( "shading" ).value;
var shininess = document.getElementById( "shininess" ).value;
var ambientCol = [0.2, 0.2, 0.2];
var diffuseCol = [0.6, 0.6, 0.6];
var specularCol = [0.8, 0.8, 0.8];
Camera.create();
Camera.vp = vp_size;
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
gl.disable(gl.CULL_FACE);
var progDraw = shading == 0 ? gouraudDraw : phongDraw;;
// set up draw shader
ShaderProgram.Use( progDraw.prog );
ShaderProgram.SetUniformM44( progDraw.prog, "u_projectionMat44", Camera.Perspective() );
ShaderProgram.SetUniformM44( progDraw.prog, "u_viewMat44", Camera.LookAt() );
ShaderProgram.SetUniformF3( progDraw.prog, "u_lightSource.lightPos", [0.0, 0.0, 0.25] )
ShaderProgram.SetUniformF3( progDraw.prog, "u_lightSource.ambient", ambientCol )
ShaderProgram.SetUniformF3( progDraw.prog, "u_lightSource.diffuse", diffuseCol )
ShaderProgram.SetUniformF3( progDraw.prog, "u_lightSource.specular", specularCol )
ShaderProgram.SetUniformF1( progDraw.prog, "u_lightSource.shininess", shininess )
var modelMat = IdentityMat44()
modelMat = RotateAxis( modelMat, -1.5, 0 );
modelMat = RotateAxis( modelMat, CalcAng( delteMS, 17.0 ), 1 );
ShaderProgram.SetUniformM44( progDraw.prog, "u_modelMat44", modelMat );
// draw scene
VertexBuffer.Draw( bufSphere );
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
gl.viewport( 0, 0, vp_size[0], vp_size[1] );
}
function initScene() {
canvas = document.getElementById( "canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return null;
gouraudDraw = {}
gouraudDraw.prog = ShaderProgram.Create(
[ { source : "gouraud-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "gouraud-shader-fs", stage : gl.FRAGMENT_SHADER }
],
[ "u_projectionMat44", "u_viewMat44", "u_modelMat44",
"u_lightSource.lightDir", "u_lightSource.ambient", "u_lightSource.diffuse", "u_lightSource.specular", "u_lightSource.shininess", ] );
if ( gouraudDraw.prog == 0 )
return;
gouraudDraw.inPos = gl.getAttribLocation( gouraudDraw.prog, "inPos" );
gouraudDraw.inNV = gl.getAttribLocation( gouraudDraw.prog, "inNV" );
gouraudDraw.inCol = gl.getAttribLocation( gouraudDraw.prog, "inCol" );
phongDraw = {}
phongDraw.prog = ShaderProgram.Create(
[ { source : "phong-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "phong-shader-fs", stage : gl.FRAGMENT_SHADER }
],
[ "u_projectionMat44", "u_viewMat44", "u_modelMat44",
"u_lightSource.lightDir", "u_lightSource.ambient", "u_lightSource.diffuse", "u_lightSource.specular", "u_lightSource.shininess", ] );
if ( phongDraw.prog == 0 )
return;
phongDraw.inPos = gl.getAttribLocation( phongDraw.prog, "inPos" );
phongDraw.inNV = gl.getAttribLocation( phongDraw.prog, "inNV" );
phongDraw.inCol = gl.getAttribLocation( phongDraw.prog, "inCol" );
// create cube
var layer_size = 16, circum_size = 32;
var rad_circum = 1.0;
var rad_tube = 0.5;
var sphere_pts = [-1.0, -1.0, 0.0, 1.0, -1.0, 0.0, 1.0, 1.0, 0.0, -1.0, 1.0, 0.0];
var sphere_nv = [0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0];
var sphere_col = [0.8, 0.6, 0.3, 0.8, 0.6, 0.3, 0.8, 0.6, 0.3, 0.8, 0.6, 0.3];
var sphere_inx = [0, 1, 2, 0, 2, 3];
bufSphere = VertexBuffer.Create(
[ { data : sphere_pts, attrSize : 3, attrLoc : gouraudDraw.inPos },
{ data : sphere_nv, attrSize : 3, attrLoc : gouraudDraw.inNV },
{ data : sphere_col, attrSize : 3, attrLoc : gouraudDraw.inCol } ],
sphere_inx );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function Fract( val ) {
return val - Math.trunc( val );
}
function CalcAng( deltaTime, intervall ) {
return Fract( deltaTime / (1000*intervall) ) * 2.0 * Math.PI;
}
function CalcMove( deltaTime, intervall, range ) {
var pos = self.Fract( deltaTime / (1000*intervall) ) * 2.0
var pos = pos < 1.0 ? pos : (2.0-pos)
return range[0] + (range[1] - range[0]) * pos;
}
function EllipticalPosition( a, b, angRag ) {
var a_b = a * a - b * b
var ea = (a_b <= 0) ? 0 : Math.sqrt( a_b );
var eb = (a_b >= 0) ? 0 : Math.sqrt( -a_b );
return [ a * Math.sin( angRag ) - ea, b * Math.cos( angRag ) - eb, 0 ];
}
glArrayType = typeof Float32Array !="undefined" ? Float32Array : ( typeof WebGLFloatArray != "undefined" ? WebGLFloatArray : Array );
function IdentityMat44() {
var m = new glArrayType(16);
m[0] = 1; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = 1; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = 1; m[11] = 0;
m[12] = 0; m[13] = 0; m[14] = 0; m[15] = 1;
return m;
};
function RotateAxis(matA, angRad, axis) {
var aMap = [ [1, 2], [2, 0], [0, 1] ];
var a0 = aMap[axis][0], a1 = aMap[axis][1];
var sinAng = Math.sin(angRad), cosAng = Math.cos(angRad);
var matB = new glArrayType(16);
for ( var i = 0; i < 16; ++ i ) matB[i] = matA[i];
for ( var i = 0; i < 3; ++ i ) {
matB[a0*4+i] = matA[a0*4+i] * cosAng + matA[a1*4+i] * sinAng;
matB[a1*4+i] = matA[a0*4+i] * -sinAng + matA[a1*4+i] * cosAng;
}
return matB;
}
function Cross( a, b ) { return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0], 0.0 ]; }
function Dot( a, b ) { return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; }
function Normalize( v ) {
var len = Math.sqrt( v[0] * v[0] + v[1] * v[1] + v[2] * v[2] );
return [ v[0] / len, v[1] / len, v[2] / len ];
}
var Camera = {};
Camera.create = function() {
this.pos = [0, 2, 0.0];
this.target = [0, 0, 0];
this.up = [0, 0, 1];
this.fov_y = 90;
this.vp = [800, 600];
this.near = 0.5;
this.far = 100.0;
}
Camera.Perspective = function() {
var fn = this.far + this.near;
var f_n = this.far - this.near;
var r = this.vp[0] / this.vp[1];
var t = 1 / Math.tan( Math.PI * this.fov_y / 360 );
var m = IdentityMat44();
m[0] = t/r; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = t; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = -fn / f_n; m[11] = -1;
m[12] = 0; m[13] = 0; m[14] = -2 * this.far * this.near / f_n; m[15] = 0;
return m;
}
Camera.LookAt = function() {
var mz = Normalize( [ this.pos[0]-this.target[0], this.pos[1]-this.target[1], this.pos[2]-this.target[2] ] );
var mx = Normalize( Cross( this.up, mz ) );
var my = Normalize( Cross( mz, mx ) );
var tx = Dot( mx, this.pos );
var ty = Dot( my, this.pos );
var tz = Dot( [-mz[0], -mz[1], -mz[2]], this.pos );
var m = IdentityMat44();
m[0] = mx[0]; m[1] = my[0]; m[2] = mz[0]; m[3] = 0;
m[4] = mx[1]; m[5] = my[1]; m[6] = mz[1]; m[7] = 0;
m[8] = mx[2]; m[9] = my[2]; m[10] = mz[2]; m[11] = 0;
m[12] = tx; m[13] = ty; m[14] = tz; m[15] = 1;
return m;
}
var ShaderProgram = {};
ShaderProgram.Create = function( shaderList ) {
var shaderObjs = [];
for ( var i_sh = 0; i_sh < shaderList.length; ++ i_sh ) {
var shderObj = this.CompileShader( shaderList[i_sh].source, shaderList[i_sh].stage );
if ( shderObj == 0 )
return 0;
shaderObjs.push( shderObj );
}
var progObj = this.LinkProgram( shaderObjs )
if ( progObj != 0 ) {
progObj.attribIndex = {};
var noOfAttributes = gl.getProgramParameter( progObj, gl.ACTIVE_ATTRIBUTES );
for ( var i_n = 0; i_n < noOfAttributes; ++ i_n ) {
var name = gl.getActiveAttrib( progObj, i_n ).name;
progObj.attribIndex[name] = gl.getAttribLocation( progObj, name );
}
progObj.unifomLocation = {};
var noOfUniforms = gl.getProgramParameter( progObj, gl.ACTIVE_UNIFORMS );
for ( var i_n = 0; i_n < noOfUniforms; ++ i_n ) {
var name = gl.getActiveUniform( progObj, i_n ).name;
progObj.unifomLocation[name] = gl.getUniformLocation( progObj, name );
}
}
return progObj;
}
ShaderProgram.AttributeIndex = function( progObj, name ) { return progObj.attribIndex[name]; }
ShaderProgram.UniformLocation = function( progObj, name ) { return progObj.unifomLocation[name]; }
ShaderProgram.Use = function( progObj ) { gl.useProgram( progObj ); }
ShaderProgram.SetUniformI1 = function( progObj, name, val ) { if(progObj.unifomLocation[name]) gl.uniform1i( progObj.unifomLocation[name], val ); }
ShaderProgram.SetUniformF1 = function( progObj, name, val ) { if(progObj.unifomLocation[name]) gl.uniform1f( progObj.unifomLocation[name], val ); }
ShaderProgram.SetUniformF2 = function( progObj, name, arr ) { if(progObj.unifomLocation[name]) gl.uniform2fv( progObj.unifomLocation[name], arr ); }
ShaderProgram.SetUniformF3 = function( progObj, name, arr ) { if(progObj.unifomLocation[name]) gl.uniform3fv( progObj.unifomLocation[name], arr ); }
ShaderProgram.SetUniformF4 = function( progObj, name, arr ) { if(progObj.unifomLocation[name]) gl.uniform4fv( progObj.unifomLocation[name], arr ); }
ShaderProgram.SetUniformM33 = function( progObj, name, mat ) { if(progObj.unifomLocation[name]) gl.uniformMatrix3fv( progObj.unifomLocation[name], false, mat ); }
ShaderProgram.SetUniformM44 = function( progObj, name, mat ) { if(progObj.unifomLocation[name]) gl.uniformMatrix4fv( progObj.unifomLocation[name], false, mat ); }
ShaderProgram.CompileShader = function( source, shaderStage ) {
var shaderScript = document.getElementById(source);
if (shaderScript)
source = shaderScript.text;
var shaderObj = gl.createShader( shaderStage );
gl.shaderSource( shaderObj, source );
gl.compileShader( shaderObj );
var status = gl.getShaderParameter( shaderObj, gl.COMPILE_STATUS );
if ( !status ) alert(gl.getShaderInfoLog(shaderObj));
return status ? shaderObj : null;
}
ShaderProgram.LinkProgram = function( shaderObjs ) {
var prog = gl.createProgram();
for ( var i_sh = 0; i_sh < shaderObjs.length; ++ i_sh )
gl.attachShader( prog, shaderObjs[i_sh] );
gl.linkProgram( prog );
status = gl.getProgramParameter( prog, gl.LINK_STATUS );
if ( !status ) alert("Could not initialise shaders");
gl.useProgram( null );
return status ? prog : null;
}
var VertexBuffer = {};
VertexBuffer.Create = function( attributes, indices ) {
var buffer = {};
buffer.buf = [];
buffer.attr = []
for ( var i = 0; i < attributes.length; ++ i ) {
buffer.buf.push( gl.createBuffer() );
buffer.attr.push( { size : attributes[i].attrSize, loc : attributes[i].attrLoc } );
gl.bindBuffer( gl.ARRAY_BUFFER, buffer.buf[i] );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( attributes[i].data ), gl.STATIC_DRAW );
}
buffer.inx = gl.createBuffer();
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, buffer.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( indices ), gl.STATIC_DRAW );
buffer.inxLen = indices.length;
gl.bindBuffer( gl.ARRAY_BUFFER, null );
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, null );
return buffer;
}
VertexBuffer.Draw = function( bufObj ) {
for ( var i = 0; i < bufObj.buf.length; ++ i ) {
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.buf[i] );
gl.vertexAttribPointer( bufObj.attr[i].loc, bufObj.attr[i].size, gl.FLOAT, false, 0, 0 );
gl.enableVertexAttribArray( bufObj.attr[i].loc );
}
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.drawElements( gl.TRIANGLES, bufObj.inxLen, gl.UNSIGNED_SHORT, 0 );
for ( var i = 0; i < bufObj.buf.length; ++ i )
gl.disableVertexAttribArray( bufObj.attr[i].loc );
gl.bindBuffer( gl.ARRAY_BUFFER, null );
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, null );
}
initScene();
})();
html,body {
height: 100%;
width: 100%;
margin: 0;
overflow: hidden;
}
#gui {
position : absolute;
top : 0;
left : 0;
}
<script id="gouraud-shader-vs" type="x-shader/x-vertex">
precision mediump float;
attribute vec3 inPos;
attribute vec3 inNV;
attribute vec3 inCol;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
struct TLightSource
{
vec3 lightPos;
vec3 ambient;
vec3 diffuse;
vec3 specular;
float shininess;
};
uniform TLightSource u_lightSource;
vec3 Light( vec3 eyeV, vec3 N, vec3 P )
{
vec3 lightCol = u_lightSource.ambient;
vec3 L = normalize( u_lightSource.lightPos-P );
float NdotL = max( 0.0, dot( N, L ) );
lightCol += NdotL * u_lightSource.diffuse;
vec3 H = normalize( eyeV + L );
float NdotH = max( 0.0, dot( N, H ) );
float kSpecular = ( u_lightSource.shininess + 2.0 ) * pow( NdotH, u_lightSource.shininess ) / ( 2.0 * 3.14159265 );
lightCol += kSpecular * u_lightSource.specular;
return lightCol;
}
void main()
{
vec3 modelNV = mat3( u_modelMat44 ) * normalize( inNV );
vertNV = mat3( u_viewMat44 ) * modelNV;
vec4 modelPos = u_modelMat44 * vec4( inPos, 1.0 );
vec4 viewPos = u_viewMat44 * modelPos;
vertPos = viewPos.xyz / viewPos.w;
vec3 eyeV = normalize( -vertPos );
vec3 normalV = normalize( vertNV ) * sign(vertNV.z);
vertCol = inCol * Light( eyeV, normalV, vertPos );
gl_Position = u_projectionMat44 * viewPos;
}
</script>
<script id="gouraud-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
void main()
{
gl_FragColor = vec4( vertCol, 1.0 );
}
</script>
<script id="phong-shader-vs" type="x-shader/x-vertex">
precision mediump float;
attribute vec3 inPos;
attribute vec3 inNV;
attribute vec3 inCol;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
void main()
{
vec3 modelNV = mat3( u_modelMat44 ) * normalize( inNV );
vertNV = mat3( u_viewMat44 ) * modelNV;
vertCol = inCol;
vec4 modelPos = u_modelMat44 * vec4( inPos, 1.0 );
vec4 viewPos = u_viewMat44 * modelPos;
vertPos = viewPos.xyz / viewPos.w;
gl_Position = u_projectionMat44 * viewPos;
}
</script>
<script id="phong-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
struct TLightSource
{
vec3 lightPos;
vec3 ambient;
vec3 diffuse;
vec3 specular;
float shininess;
};
uniform TLightSource u_lightSource;
vec3 Light( vec3 eyeV, vec3 N, vec3 P )
{
vec3 lightCol = u_lightSource.ambient;
vec3 L = normalize( u_lightSource.lightPos - P );
float NdotL = max( 0.0, dot( N, L ) );
lightCol += NdotL * u_lightSource.diffuse;
vec3 H = normalize( eyeV + L );
float NdotH = max( 0.0, dot( N, H ) );
float kSpecular = ( u_lightSource.shininess + 2.0 ) * pow( NdotH, u_lightSource.shininess ) / ( 2.0 * 3.14159265 );
lightCol += kSpecular * u_lightSource.specular;
return lightCol;
}
void main()
{
vec3 eyeV = normalize( -vertPos );
vec3 normalV = normalize( vertNV ) * sign(vertNV.z);
vec3 color = vertCol * Light( eyeV, normalV, vertPos );
gl_FragColor = vec4( color, 1.0 );
}
</script>
<form id="gui" name="inputs"><table><tr>
<td><font color= #CCF>Shading:</font></td>
<td><select id="shading">>
<option value="0">Gouraud</option>
<option value="1">Phong</option>
</select></td>
</tr><tr>
<td><font color= #CCF>Shininess:</font></td>
<td><input type="range" id="shininess" min="0" max="100" value="10"/></td>
</tr></table></form>
<canvas id="canvas" style="border: none;" width="100%" height="100%"></canvas>

GLSL spotlight projection volume

In my open source project I have setup a deferred rendering pipeline using Qt3D. So far so good, but now I'd like to move forward by adding spotlights projection volume. (e.g. as if there is smoke in the scene)
Like this:
The fragment shader I'm using is at the end of the question.
I've read that for each fragment I should do ray marching from the light position and find the intersections with a cone, but I have no idea how to translate this into GLSL.
I can easily add a uniform with the depth map (from camera point of view) coming from the GBuffer, but I don't know if that's of any help.
Since my GLSL knowledge is very limited, please reply with actual code, not a lengthy mathematical explanation that I won't be able to understand/translate into code. Please be patient with me.
uniform sampler2D color;
uniform sampler2D position;
uniform sampler2D normal;
uniform vec2 winSize;
out vec4 fragColor;
const int MAX_LIGHTS = 102;
const int TYPE_POINT = 0;
const int TYPE_DIRECTIONAL = 1;
const int TYPE_SPOT = 2;
struct Light {
int type;
vec3 position;
vec3 color;
float intensity;
vec3 direction;
float constantAttenuation;
float linearAttenuation;
float quadraticAttenuation;
float cutOffAngle;
};
uniform Light lightsArray[MAX_LIGHTS];
uniform int lightsNumber;
void main()
{
vec2 texCoord = gl_FragCoord.xy / winSize;
vec4 col = texture(color, texCoord);
vec3 pos = texture(position, texCoord).xyz;
vec3 norm = texture(normal, texCoord).xyz;
vec3 lightColor = vec3(0.0);
vec3 s;
float att;
for (int i = 0; i < lightsNumber; ++i) {
att = 1.0;
if ( lightsArray[i].type != TYPE_DIRECTIONAL ) {
s = lightsArray[i].position - pos;
if (lightsArray[i].constantAttenuation != 0.0
|| lightsArray[i].linearAttenuation != 0.0
|| lightsArray[i].quadraticAttenuation != 0.0) {
float dist = length(s);
att = 1.0 / (lightsArray[i].constantAttenuation + lightsArray[i].linearAttenuation * dist + lightsArray[i].quadraticAttenuation * dist * dist);
}
s = normalize( s );
if ( lightsArray[i].type == TYPE_SPOT ) {
if ( degrees(acos(dot(-s, normalize(lightsArray[i].direction))) ) > lightsArray[i].cutOffAngle)
att = 0.0;
}
} else {
s = normalize(-lightsArray[i].direction);
}
float diffuse = max( dot( s, norm ), 0.0 );
lightColor += att * lightsArray[i].intensity * diffuse * lightsArray[i].color;
}
fragColor = vec4(col.rgb * lightColor, col.a);
}
This is how a spotlight looks like with the original shader above:
[EDIT - SOLVED] Thanks to Rabbid76 excellent answer and precious support
This is the modified code to see the cone projection:
#version 140
uniform sampler2D color;
uniform sampler2D position;
uniform sampler2D normal;
uniform vec2 winSize;
out vec4 fragColor;
const int MAX_LIGHTS = 102;
const int TYPE_POINT = 0;
const int TYPE_DIRECTIONAL = 1;
const int TYPE_SPOT = 2;
struct Light {
int type;
vec3 position;
vec3 color;
float intensity;
vec3 direction;
float constantAttenuation;
float linearAttenuation;
float quadraticAttenuation;
float cutOffAngle;
};
uniform Light lightsArray[MAX_LIGHTS];
uniform int lightsNumber;
uniform mat4 inverseViewMatrix; // defined by camera position, camera target and up vector
void main()
{
vec2 texCoord = gl_FragCoord.xy / winSize;
vec4 col = texture(color, texCoord);
vec3 pos = texture(position, texCoord).xyz;
vec3 norm = texture(normal, texCoord).xyz;
vec3 lightColor = vec3(0.0);
vec3 s;
// calculate unprojected fragment position on near plane and line of sight relative to view
float nearZ = -1.0;
vec3 nearPos = vec3( (texCoord.x - 0.5) * winSize.x / winSize.y, texCoord.y - 0.5, nearZ ); // 1.0 is camera near
vec3 los = normalize( nearPos );
// ray definition
vec3 O = vec3( inverseViewMatrix * vec4( 0.0, 0.0, 0.0, 1.0 ) ); // translation part of the camera matrix, which is equal to the camera position
vec3 D = (length(pos) > 0.0) ? normalize(pos - O) : (mat3(inverseViewMatrix) * los);
for (int i = 0; i < lightsNumber; ++i)
{
float att = 1.0;
if ( lightsArray[i].type == TYPE_DIRECTIONAL )
{
s = normalize( -lightsArray[i].direction );
}
else
{
s = lightsArray[i].position - pos;
if (lightsArray[i].type != TYPE_SPOT
&& (lightsArray[i].constantAttenuation != 0.0
|| lightsArray[i].linearAttenuation != 0.0
|| lightsArray[i].quadraticAttenuation != 0.0))
{
float dist = length(s);
att = 1.0 / (lightsArray[i].constantAttenuation + lightsArray[i].linearAttenuation * dist + lightsArray[i].quadraticAttenuation * dist * dist);
}
s = normalize( s );
if ( lightsArray[i].type == TYPE_SPOT )
{
// cone definition
vec3 C = lightsArray[i].position;
vec3 V = normalize(lightsArray[i].direction);
float cosTh = cos( radians(lightsArray[i].cutOffAngle) );
// ray - cone intersection
vec3 CO = O - C;
float DdotV = dot( D, V );
float COdotV = dot( CO, V );
float a = DdotV * DdotV - cosTh * cosTh;
float b = 2.0 * (DdotV * COdotV - dot( D, CO ) * cosTh * cosTh);
float c = COdotV * COdotV - dot( CO, CO ) * cosTh * cosTh;
float det = b * b - 4.0 * a * c;
// find intersection
float isIsect = 0.0;
vec3 isectP = vec3(0.0);
if ( det >= 0.0 )
{
vec3 P1 = O + (-b - sqrt(det)) / (2.0 * a) * D;
vec3 P2 = O + (-b + sqrt(det)) / (2.0 * a) * D;
float isect1 = step( 0.0, dot(normalize(P1 - C), V) );
float isect2 = step( 0.0, dot(normalize(P2 - C), V) );
if ( isect1 < 0.5 )
{
P1 = P2;
isect1 = isect2;
}
if ( isect2 < 0.5 )
{
P2 = P1;
isect2 = isect1;
}
isectP = (length(P1 - O) < length(P2 - O)) ? P1 : P2;
isIsect = mix( isect2, 1.0, isect1 );
if ( length(pos) != 0.0 && length(isectP - O) > length(pos - O))
isIsect = 0.0;
}
float dist = length( isectP - C.xyz );
float limit = degrees(acos(dot(-s, normalize(lightsArray[i].direction))) );
if (isIsect > 0 || limit <= lightsArray[i].cutOffAngle)
{
att = 1.0 / dot( vec3( 1.0, dist, dist * dist ),
vec3(lightsArray[i].constantAttenuation,
lightsArray[i].linearAttenuation,
lightsArray[i].quadraticAttenuation) );
}
else
att = 0.0;
}
}
float diffuse = max( dot( s, norm ), 0.0 );
lightColor += att * lightsArray[i].intensity * diffuse * lightsArray[i].color;
}
fragColor = vec4(col.rgb * lightColor, col.a);
}
Uniforms passed to the shader are:
qml: lightsArray[0].type = 0
qml: lightsArray[0].position = QVector3D(0, 10, 0)
qml: lightsArray[0].color = #ffffff
qml: lightsArray[0].intensity = 0.8
qml: lightsArray[0].constantAttenuation = 1
qml: lightsArray[0].linearAttenuation = 0
qml: lightsArray[0].quadraticAttenuation = 0
qml: lightsArray[1].type = 2
qml: lightsArray[1].position = QVector3D(0, 3, 0)
qml: lightsArray[1].color = #008000
qml: lightsArray[1].intensity = 0.5
qml: lightsArray[1].constantAttenuation = 2
qml: lightsArray[1].linearAttenuation = 0
qml: lightsArray[1].quadraticAttenuation = 0
qml: lightsArray[1].direction = QVector3D(-0.573576, -0.819152, 0)
qml: lightsArray[1].cutOffAngle = 15
qml: lightsNumber = 2
Screenshot:
For a primitive visualization of the light cone of a spot light, you have to do a intersection of the line of sight and the light cone. The following algorithm works in a perpectiv view and the caluclations ar done in view (eye) sapce. The algorithm does not care about the geometry of the scene and does not do any depth test or shadow test, it only is a overlayerd visualization of the light cone.
The line of sight in a perspective view can be deifned by a points and a direction. Since the calculations is done in view (eye) space, the point is the point of view (the origin of the view frustum) which is vec3(0.0). The direction can easily be determined, by the intersection of the line of sight and the near plane of the camera frustum. This can easily be calculated if the projected XY-coordinate of the fragment is known in normalized device coordinates (the lower left point is (-1,-1) and the upper right point is (1,1) see the answer to this question).
float aspect = .....; // ratio of the view port (widht/length)
float fov = .....; // filed of view angle in radians (angle of the camera frustum on the Y-axis)
vec2 ndcPos = .....; // fragment position in NDC space from (-1,-1) to (1,1)
vec3 tanFov = tan( fov * 0.5 );
vec3 los = normalize( vec3( ndcPos.x * aspect * tanFov, ndcPos.y * tanFov, -1.0 ) );
The light cone is defined by the origin of the light source, the direction where the light source points to, and the full angle of the light cone. The position and the direction have to be up in view space. The angle has to be set up in radians.
vec3 vLightPos = .....; // position of the light source in view space
vec3 vLightDir = .....; // direction of the light in view space
float coneAngle = .....; // full angle of the light cone in radians
How to calculate the intersection point(s) of a ray and a cone can be found in the answer to Stackoverflow question Points of intersection of vector with cone and in the following paper: Intersection of a ray and a cone.
The following code calculates a intersection of a ray and a cone as defined above. The result point is stored in isectP. The variable isIsect of the type float is set to 1.0 if there is a intersection, and is set to 0.0 else.
// ray definition
vec3 O = vec3(0.0);
vec3 D = los;
// cone definition
vec3 C = vLightPos;
vec3 V = vLightDir;
float cosTh = cos( coneAngle * 0.5 );
// ray - cone intersection
vec3 CO = O - C;
float DdotV = dot( D, V );
float COdotV = dot( CO, V );
float a = DdotV*DdotV - cosTh*cosTh;
float b = 2.0 * (DdotV*COdotV - dot( D, CO )*cosTh*cosTh);
float c = COdotV*COdotV - dot( CO, CO )*cosTh*cosTh;
float det = b*b - 4.0*a*c;
// find intersection
float isIsect = 0.0;
vec3 isectP = vec3(0.0);
if ( det >= 0.0 )
{
vec3 P1 = O + (-b-sqrt(det))/(2.0*a) * D;
vec3 P2 = O + (-b+sqrt(det))/(2.0*a) * D;
float isect1 = step( 0.0, dot(normalize(P1-C), V) );
float isect2 = step( 0.0, dot(normalize(P2-C), V) );
P1 = mix( P2, P1, isect1 );
isectP = P2.z < 0.0 && P2.z > P1.z ? P2 : P1;
isIsect = mix( isect2, 1.0, isect1 ) * step( isectP.z, 0.0 );
}
For the full GLSL code, see the following WebGL example:
(function loadscene() {
var sliderScale = 100.0
var gl, canvas, vp_size, camera, progDraw, progLightCone, bufTorus = {}, bufQuad = {}, drawFB;
function render(deltaMS) {
var ambient = document.getElementById( "ambient" ).value / sliderScale;
var diffuse = document.getElementById( "diffuse" ).value / sliderScale;
var specular = document.getElementById( "specular" ).value / sliderScale;
var shininess = document.getElementById( "shininess" ).value;
var cutOffAngle = document.getElementById( "cutOffAngle" ).value;
// setup view projection and model
vp_size = [canvas.width, canvas.height];
var prjMat = camera.Perspective();
var viewMat = camera.LookAt();
var modelMat = IdentM44();
modelMat = RotateAxis( modelMat, CalcAng( deltaMS, 13.0 ), 0 );
modelMat = RotateAxis( modelMat, CalcAng( deltaMS, 17.0 ), 1 );
var lightPos = [0.95, 0.95, -1.0];
var lightDir = [-1.0, -1.0, -3.0];
var lightCutOffAngleRad = cutOffAngle * Math.PI / 180.0;
var lightAtt = [0.7, 0.1, 0.5];
drawFB.Bind( true );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
ShProg.Use( progDraw );
ShProg.SetM44( progDraw, "u_projectionMat44", prjMat );
ShProg.SetM44( progDraw, "u_viewMat44", viewMat );
ShProg.SetF3( progDraw, "u_light.position", lightPos );
ShProg.SetF3( progDraw, "u_light.direction", lightDir );
ShProg.SetF1( progDraw, "u_light.ambient", ambient );
ShProg.SetF1( progDraw, "u_light.diffuse", diffuse );
ShProg.SetF1( progDraw, "u_light.specular", specular );
ShProg.SetF1( progDraw, "u_light.shininess", shininess );
ShProg.SetF3( progDraw, "u_light.attenuation", lightAtt );
ShProg.SetF1( progDraw, "u_light.cutOffAngle", lightCutOffAngleRad );
ShProg.SetM44( progDraw, "u_modelMat44", modelMat );
bufObj = bufTorus;
gl.enableVertexAttribArray( progDraw.inPos );
gl.enableVertexAttribArray( progDraw.inNV );
gl.enableVertexAttribArray( progDraw.inCol );
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.pos );
gl.vertexAttribPointer( progDraw.inPos, 3, gl.FLOAT, false, 0, 0 );
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.nv );
gl.vertexAttribPointer( progDraw.inNV, 3, gl.FLOAT, false, 0, 0 );
gl.bindBuffer( gl.ARRAY_BUFFER, bufObj.col );
gl.vertexAttribPointer( progDraw.inCol, 3, gl.FLOAT, false, 0, 0 );
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufObj.inx );
gl.drawElements( gl.TRIANGLES, bufObj.inxLen, gl.UNSIGNED_SHORT, 0 );
gl.disableVertexAttribArray( progDraw.pos );
gl.disableVertexAttribArray( progDraw.nv );
gl.disableVertexAttribArray( progDraw.col );
drawFB.Release( true );
gl.viewport( 0, 0, canvas.width, canvas.height );
var texUnitDraw = 2;
drawFB.BindTexture( texUnitDraw );
ShProg.Use( progLightCone );
ShProg.SetI1( progLightCone, "u_colorAttachment0", texUnitDraw );
ShProg.SetF2( progLightCone, "u_depthRange", [ camera.near, camera.far ] );
ShProg.SetF2( progLightCone, "u_vp", camera.vp );
ShProg.SetF1( progLightCone, "u_fov", camera.fov_y * Math.PI / 180.0 );
ShProg.SetF3( progLightCone, "u_light.position", lightPos );
ShProg.SetF3( progLightCone, "u_light.direction", lightDir );
ShProg.SetF3( progLightCone, "u_light.attenuation", lightAtt );
ShProg.SetF1( progLightCone, "u_light.cutOffAngle", lightCutOffAngleRad );
gl.enableVertexAttribArray( progLightCone.inPos );
gl.bindBuffer( gl.ARRAY_BUFFER, bufQuad.pos );
gl.vertexAttribPointer( progLightCone.inPos, 2, gl.FLOAT, false, 0, 0 );
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufQuad.inx );
gl.drawElements( gl.TRIANGLES, bufQuad.inxLen, gl.UNSIGNED_SHORT, 0 );
gl.disableVertexAttribArray( progLightCone.inPos );
requestAnimationFrame(render);
}
function initScene() {
canvas = document.getElementById( "glow-canvas");
vp_size = [canvas.width, canvas.height];
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return;
document.getElementById( "ambient" ).value = 0.25 * sliderScale;
document.getElementById( "diffuse" ).value = 1.0 * sliderScale;
document.getElementById( "specular" ).value = 1.0 * sliderScale;
document.getElementById( "shininess" ).value = 10.0;
document.getElementById( "cutOffAngle" ).value = 30.0;
progDraw = ShProg.Create(
[ { source : "draw-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "draw-shader-fs", stage : gl.FRAGMENT_SHADER }
] );
progDraw.inPos = ShProg.AttrI( progDraw, "inPos" );
progDraw.inNV = ShProg.AttrI( progDraw, "inNV" );
progDraw.inCol = ShProg.AttrI( progDraw, "inCol" );
if ( progDraw == 0 )
return;
progLightCone = ShProg.Create(
[ { source : "light-cone-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "light-cone-shader-fs", stage : gl.FRAGMENT_SHADER }
] );
progLightCone.inPos = ShProg.AttrI( progDraw, "inPos" );
if ( progDraw == 0 )
return;
var circum_size = 32, tube_size = 32;
var rad_circum = 1.5;
var rad_tube = 0.8;
var torus_pts = [];
var torus_nv = [];
var torus_col = [];
var torus_inx = [];
var col = [1, 0.5, 0.0];
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var center = [
Math.cos(2 * Math.PI * i_c / circum_size),
Math.sin(2 * Math.PI * i_c / circum_size) ]
for ( var i_t = 0; i_t < tube_size; ++ i_t ) {
var tubeX = Math.cos(2 * Math.PI * i_t / tube_size)
var tubeY = Math.sin(2 * Math.PI * i_t / tube_size)
var pt = [
center[0] * ( rad_circum + tubeX * rad_tube ),
center[1] * ( rad_circum + tubeX * rad_tube ),
tubeY * rad_tube ]
var nv = [ pt[0] - center[0] * rad_tube, pt[1] - center[1] * rad_tube, tubeY * rad_tube ]
torus_pts.push( pt[0], pt[1], pt[2] );
torus_nv.push( nv[0], nv[1], nv[2] );
torus_col.push( col[0], col[1], col[2] );
var i_cn = (i_c+1) % circum_size
var i_tn = (i_t+1) % tube_size
var i_c0 = i_c * tube_size;
var i_c1 = i_cn * tube_size;
torus_inx.push( i_c0+i_t, i_c0+i_tn, i_c1+i_t, i_c0+i_tn, i_c1+i_t, i_c1+i_tn )
}
}
bufTorus.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufTorus.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( torus_pts ), gl.STATIC_DRAW );
bufTorus.nv = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufTorus.nv );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( torus_nv ), gl.STATIC_DRAW );
bufTorus.col = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufTorus.col );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( torus_col ), gl.STATIC_DRAW );
bufTorus.inx = gl.createBuffer();
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufTorus.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( torus_inx ), gl.STATIC_DRAW );
bufTorus.inxLen = torus_inx.length;
bufQuad.pos = gl.createBuffer();
gl.bindBuffer( gl.ARRAY_BUFFER, bufQuad.pos );
gl.bufferData( gl.ARRAY_BUFFER, new Float32Array( [ -1.0, -1.0, 1.0, -1.0, 1.0, 1.0, -1.0, 1.0 ] ), gl.STATIC_DRAW );
bufQuad.inx = gl.createBuffer();
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, bufQuad.inx );
gl.bufferData( gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( [ 0, 1, 2, 0, 2, 3 ] ), gl.STATIC_DRAW );
bufQuad.inxLen = 6;
camera = new Camera( [0, 4, 0.0], [0, 0, 0], [0, 0, 1], 90, vp_size, 0.5, 100 );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight]
//vp_size = [256, 256]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
var fbsize = Math.max(vp_size[0], vp_size[1]);
fbsize = 1 << 31 - Math.clz32(fbsize); // nearest power of 2
var fb_rect = [fbsize, fbsize];
drawFB = FrameBuffer.Create( fb_rect );
}
function Fract( val ) {
return val - Math.trunc( val );
}
function CalcAng( deltaMS, intervall ) {
return Fract( deltaMS / (1000*intervall) ) * 2.0 * Math.PI;
}
function CalcMove( deltaMS, intervall, range ) {
var pos = self.Fract( deltaMS / (1000*intervall) ) * 2.0
var pos = pos < 1.0 ? pos : (2.0-pos)
return range[0] + (range[1] - range[0]) * pos;
}
function IdentM44() { return [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]; }
function RotateAxis(matA, angRad, axis) {
var aMap = [ [1, 2], [2, 0], [0, 1] ];
var a0 = aMap[axis][0], a1 = aMap[axis][1];
var sinAng = Math.sin(angRad), cosAng = Math.cos(angRad);
var matB = matA.slice(0);
for ( var i = 0; i < 3; ++ i ) {
matB[a0*4+i] = matA[a0*4+i] * cosAng + matA[a1*4+i] * sinAng;
matB[a1*4+i] = matA[a0*4+i] * -sinAng + matA[a1*4+i] * cosAng;
}
return matB;
}
function Cross( a, b ) { return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0], 0.0 ]; }
function Dot( a, b ) { return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; }
function Normalize( v ) {
var len = Math.sqrt( v[0] * v[0] + v[1] * v[1] + v[2] * v[2] );
return [ v[0] / len, v[1] / len, v[2] / len ];
}
Camera = function( pos, target, up, fov_y, vp, near, far ) {
this.Time = function() { return Date.now(); }
this.pos = pos;
this.target = target;
this.up = up;
this.fov_y = fov_y;
this.vp = vp;
this.near = near;
this.far = far;
this.orbit_mat = this.current_orbit_mat = this.model_mat = this.current_model_mat = IdentM44();
this.mouse_drag = this.auto_spin = false;
this.auto_rotate = true;
this.mouse_start = [0, 0];
this.mouse_drag_axis = [0, 0, 0];
this.mouse_drag_angle = 0;
this.mouse_drag_time = 0;
this.drag_start_T = this.rotate_start_T = this.Time();
this.Ortho = function() {
var fn = this.far + this.near;
var f_n = this.far - this.near;
var w = this.vp[0];
var h = this.vp[1];
return [
2/w, 0, 0, 0,
0, 2/h, 0, 0,
0, 0, -2/f_n, 0,
0, 0, -fn/f_n, 1 ];
};
this.Perspective = function() {
var n = this.near;
var f = this.far;
var fn = f + n;
var f_n = f - n;
var r = this.vp[0] / this.vp[1];
var t = 1 / Math.tan( Math.PI * this.fov_y / 360 );
return [
t/r, 0, 0, 0,
0, t, 0, 0,
0, 0, -fn/f_n, -1,
0, 0, -2*f*n/f_n, 0 ];
};
this.LookAt = function() {
var mz = Normalize( [ this.pos[0]-this.target[0], this.pos[1]-this.target[1], this.pos[2]-this.target[2] ] );
var mx = Normalize( Cross( this.up, mz ) );
var my = Normalize( Cross( mz, mx ) );
var tx = Dot( mx, this.pos );
var ty = Dot( my, this.pos );
var tz = Dot( [-mz[0], -mz[1], -mz[2]], this.pos );
return [mx[0], my[0], mz[0], 0, mx[1], my[1], mz[1], 0, mx[2], my[2], mz[2], 0, tx, ty, tz, 1];
};
}
var FrameBuffer = {};
FrameBuffer.Create = function( vp, texturePlan ) {
var texPlan = texturePlan ? new Uint8Array( texturePlan ) : null;
var fb = gl.createFramebuffer();
fb.width = vp[0];
fb.height = vp[1];
gl.bindFramebuffer( gl.FRAMEBUFFER, fb );
fb.color0_texture = gl.createTexture();
gl.bindTexture( gl.TEXTURE_2D, fb.color0_texture );
gl.texImage2D( gl.TEXTURE_2D, 0, gl.RGBA, fb.width, fb.height, 0, gl.RGBA, gl.UNSIGNED_BYTE, texPlan );
gl.texParameteri( gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.NEAREST );
gl.texParameteri( gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.NEAREST );
fb.renderbuffer = gl.createRenderbuffer();
gl.bindRenderbuffer( gl.RENDERBUFFER, fb.renderbuffer );
gl.renderbufferStorage( gl.RENDERBUFFER, gl.DEPTH_COMPONENT16, fb.width, fb.height );
gl.framebufferTexture2D( gl.FRAMEBUFFER, gl.COLOR_ATTACHMENT0, gl.TEXTURE_2D, fb.color0_texture, 0 );
gl.framebufferRenderbuffer( gl.FRAMEBUFFER, gl.DEPTH_ATTACHMENT, gl.RENDERBUFFER, fb.renderbuffer );
gl.bindTexture( gl.TEXTURE_2D, null );
gl.bindRenderbuffer( gl.RENDERBUFFER, null );
gl.bindFramebuffer( gl.FRAMEBUFFER, null );
fb.Bind = function( clear ) {
gl.bindFramebuffer( gl.FRAMEBUFFER, this );
if ( clear ) {
gl.viewport( 0, 0, this.width, this.height );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
}
};
fb.Release = function( clear ) {
gl.bindFramebuffer( gl.FRAMEBUFFER, null );
if ( clear ) {
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
}
};
fb.BindTexture = function( textureUnit ) {
gl.activeTexture( gl.TEXTURE0 + textureUnit );
gl.bindTexture( gl.TEXTURE_2D, this.color0_texture );
};
return fb;
}
var ShProg = {};
ShProg.Create = function( shaderList ) {
var shaderObjs = [];
for ( var i_sh = 0; i_sh < shaderList.length; ++ i_sh ) {
var shderObj = this.Compile( shaderList[i_sh].source, shaderList[i_sh].stage );
if ( shderObj == 0 )
return 0;
shaderObjs.push( shderObj );
}
var progObj = this.Link( shaderObjs )
if ( progObj != 0 ) {
progObj.attrInx = {};
var noOfAttributes = gl.getProgramParameter( progObj, gl.ACTIVE_ATTRIBUTES );
for ( var i_n = 0; i_n < noOfAttributes; ++ i_n ) {
var name = gl.getActiveAttrib( progObj, i_n ).name;
progObj.attrInx[name] = gl.getAttribLocation( progObj, name );
}
progObj.uniLoc = {};
var noOfUniforms = gl.getProgramParameter( progObj, gl.ACTIVE_UNIFORMS );
for ( var i_n = 0; i_n < noOfUniforms; ++ i_n ) {
var name = gl.getActiveUniform( progObj, i_n ).name;
progObj.uniLoc[name] = gl.getUniformLocation( progObj, name );
}
}
return progObj;
}
ShProg.AttrI = function( progObj, name ) { return progObj.attrInx[name]; }
ShProg.UniformL = function( progObj, name ) { return progObj.uniLoc[name]; }
ShProg.Use = function( progObj ) { gl.useProgram( progObj ); }
ShProg.SetI1 = function( progObj, name, val ) { if(progObj.uniLoc[name]) gl.uniform1i( progObj.uniLoc[name], val ); }
ShProg.SetF1 = function( progObj, name, val ) { if(progObj.uniLoc[name]) gl.uniform1f( progObj.uniLoc[name], val ); }
ShProg.SetF2 = function( progObj, name, arr ) { if(progObj.uniLoc[name]) gl.uniform2fv( progObj.uniLoc[name], arr ); }
ShProg.SetF3 = function( progObj, name, arr ) { if(progObj.uniLoc[name]) gl.uniform3fv( progObj.uniLoc[name], arr ); }
ShProg.SetF4 = function( progObj, name, arr ) { if(progObj.uniLoc[name]) gl.uniform4fv( progObj.uniLoc[name], arr ); }
ShProg.SetM44 = function( progObj, name, mat ) { if(progObj.uniLoc[name]) gl.uniformMatrix4fv( progObj.uniLoc[name], false, mat ); }
ShProg.Compile = function( source, shaderStage ) {
var shaderScript = document.getElementById(source);
if (shaderScript) {
source = "";
var node = shaderScript.firstChild;
while (node) {
if (node.nodeType == 3) source += node.textContent;
node = node.nextSibling;
}
}
var shaderObj = gl.createShader( shaderStage );
gl.shaderSource( shaderObj, source );
gl.compileShader( shaderObj );
var status = gl.getShaderParameter( shaderObj, gl.COMPILE_STATUS );
if ( !status ) alert(gl.getShaderInfoLog(shaderObj));
return status ? shaderObj : 0;
}
ShProg.Link = function( shaderObjs ) {
var prog = gl.createProgram();
for ( var i_sh = 0; i_sh < shaderObjs.length; ++ i_sh )
gl.attachShader( prog, shaderObjs[i_sh] );
gl.linkProgram( prog );
status = gl.getProgramParameter( prog, gl.LINK_STATUS );
if ( !status ) alert("Could not initialise shaders");
gl.useProgram( null );
return status ? prog : 0;
}
initScene();
})();
html,body { margin: 0; overflow: hidden; }
#gui { position : absolute; top : 0; left : 0; }
<script id="draw-shader-vs" type="x-shader/x-vertex">
precision mediump float;
attribute vec3 inPos;
attribute vec3 inNV;
attribute vec3 inCol;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
varying vec4 clip_space_pos;
uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
void main()
{
vec3 modelNV = mat3( u_modelMat44 ) * normalize( inNV );
vertNV = mat3( u_viewMat44 ) * modelNV;
vertCol = inCol;
vec4 modelPos = u_modelMat44 * vec4( inPos, 1.0 );
vec4 viewPos = u_viewMat44 * modelPos;
vertPos = viewPos.xyz / viewPos.w;
gl_Position = u_projectionMat44 * viewPos;
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec3 vertPos;
varying vec3 vertNV;
varying vec3 vertCol;
struct Light {
vec3 position;
vec3 direction;
float ambient;
float diffuse;
float specular;
float shininess;
vec3 attenuation;
float cutOffAngle;
};
uniform Light u_light;
void main()
{
vec3 color = vertCol;
vec3 lightCol = u_light.ambient * color;
vec3 normalV = normalize( vertNV );
vec3 lightV = normalize( u_light.position - vertPos );
float lightD = length( u_light.position - vertPos );
float cosL = dot( normalize( u_light.direction ), -lightV );
float inCone = step( cos( u_light.cutOffAngle * 0.5 ), cosL );
float att = 1.0 / dot( vec3( 1.0, lightD, lightD*lightD ), u_light.attenuation );
float NdotL = max( 0.0, dot( normalV, lightV ) );
lightCol += NdotL * u_light.diffuse * color * inCone * att;
vec3 eyeV = normalize( -vertPos );
vec3 halfV = normalize( eyeV + lightV );
float NdotH = max( 0.0, dot( normalV, halfV ) );
float kSpecular = ( u_light.shininess + 2.0 ) * pow( NdotH, u_light.shininess ) / ( 2.0 * 3.14159265 );
lightCol += kSpecular * u_light.specular * color * inCone * att;
gl_FragColor = vec4( lightCol.rgb, 1.0 );
}
</script>
<script id="light-cone-shader-vs" type="x-shader/x-vertex">
precision mediump float;
attribute vec2 inPos;
varying vec2 vertPos;
void main()
{
vertPos.xy = inPos.xy;
gl_Position = vec4( inPos, 0.0, 1.0 );
}
</script>
<script id="light-cone-shader-fs" type="x-shader/x-fragment">
precision mediump float;
varying vec2 vertPos;
uniform sampler2D u_colorAttachment0;
uniform vec2 u_depthRange;
uniform vec2 u_vp;
uniform float u_fov;
struct Light {
vec3 position;
vec3 direction;
float ambient;
float diffuse;
float specular;
float shininess;
vec3 attenuation;
float cutOffAngle;
};
uniform Light u_light;
void main()
{
vec4 texCol = texture2D( u_colorAttachment0, vertPos.st * 0.5 + 0.5 );
vec3 vLightPos = u_light.position;
vec3 vLightDir = normalize( u_light.direction );
float tanFOV = tan(u_fov*0.5);
vec3 nearPos = vec3( vertPos.x * u_vp.x/u_vp.y * tanFOV, vertPos.y * tanFOV, -1.0 );
//vec2 texCoord = gl_FragCoord.xy / u_vp;
//vec3 nearPos = vec3( (texCoord.x-0.5) * u_vp.x/u_vp.y, texCoord.y-0.5, -u_depthRange.x );
vec3 los = normalize( nearPos );
// ray definition
vec3 O = vec3(0.0);
vec3 D = los;
// cone definition
vec3 C = vLightPos;
vec3 V = vLightDir;
float cosTh = cos( u_light.cutOffAngle * 0.5 );
// ray - cone intersection
vec3 CO = O - C;
float DdotV = dot( D, V );
float COdotV = dot( CO, V );
float a = DdotV*DdotV - cosTh*cosTh;
float b = 2.0 * (DdotV*COdotV - dot( D, CO )*cosTh*cosTh);
float c = COdotV*COdotV - dot( CO, CO )*cosTh*cosTh;
float det = b*b - 4.0*a*c;
// find intersection
float isIsect = 0.0;
vec3 isectP = vec3(0.0);
if ( det >= 0.0 )
{
vec3 P1 = O + (-b-sqrt(det))/(2.0*a) * D;
vec3 P2 = O + (-b+sqrt(det))/(2.0*a) * D;
float isect1 = step( 0.0, dot(normalize(P1-C), V) );
float isect2 = step( 0.0, dot(normalize(P2-C), V) );
if ( isect1 < 0.5 )
{
P1 = P2;
isect1 = isect2;
}
if ( isect2 < 0.5 )
{
P2 = P1;
isect2 = isect1;
}
isectP = ( P1.z > -u_depthRange.x || (P2.z < -u_depthRange.x && P1.z < P2.z ) ) ? P2 : P1;
isIsect = mix( isect2, 1.0, isect1 ) * step( isectP.z, -u_depthRange.x );
}
float dist = length( isectP - vLightPos.xyz );
float att = 1.0 / dot( vec3( 1.0, dist, dist*dist ), u_light.attenuation );
gl_FragColor = vec4( mix( texCol.rgb, vec3(1.0, 1.0, 1.0), isIsect * att * 0.5 ), 1.0 );
}
</script>
<div><form id="gui" name="inputs">
<table>
<tr> <td> <font color=#40f040>ambient</font> </td>
<td> <input type="range" id="ambient" min="0" max="100" value="0"/></td> </tr>
<tr> <td> <font color=#40f040>diffuse</font> </td>
<td> <input type="range" id="diffuse" min="0" max="100" value="0"/></td> </tr>
<tr> <td> <font color=#40f040>specular</font> </td>
<td> <input type="range" id="specular" min="0" max="100" value="0"/></td> </tr>
<tr> <td> <font color=#40f040>shininess</font> </td>
<td> <input type="range" id="shininess" min="1" max="100" value="0"/></td> </tr>
<tr> <td> <font color=#40f040>cut off angle</font> </td>
<td> <input type="range" id="cutOffAngle" min="1" max="180" value="0"/></td> </tr>
</table>
</form>
</div>
<canvas id="glow-canvas" style="border: none;"></canvas>