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webgl-2d-geometry-matrix-transform-simpler-functions.html
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<!-- Licensed under a BSD license. See license.html for license -->
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
<title>WebGL - 2D Geometry Matrix Transform with simpler functions</title>
<link type="text/css" href="resources/webgl-tutorials.css" rel="stylesheet" />
</head>
<body>
<div class="description">
Drag sliders to translate, rotate, and scale.
</div>
<canvas id="canvas"></canvas>
<div id="uiContainer">
<div id="ui">
<div id="x"></div>
<div id="y"></div>
<div id="angle"></div>
<div id="scaleX"></div>
<div id="scaleY"></div>
</div>
</div>
</body>
<!-- vertex shader -->
<script id="vertex-shader-2d" type="x-shader/x-vertex">
attribute vec2 a_position;
uniform mat3 u_matrix;
void main() {
// Multiply the position by the matrix.
gl_Position = vec4((u_matrix * vec3(a_position, 1)).xy, 0, 1);
}
</script>
<!-- fragment shader -->
<script id="fragment-shader-2d" type="x-shader/x-fragment">
precision mediump float;
uniform vec4 u_color;
void main() {
gl_FragColor = u_color;
}
</script>
<!--
for most samples webgl-utils only provides shader compiling/linking and
canvas resizing because why clutter the examples with code that's the same in every sample.
See https://webglfundamentals.org/webgl/lessons/webgl-boilerplate.html
and https://webglfundamentals.org/webgl/lessons/webgl-resizing-the-canvas.html
for webgl-utils, m3, m4, and webgl-lessons-ui.
-->
<script src="resources/webgl-utils.js"></script>
<script src="resources/webgl-lessons-ui.js"></script>
<script>
"use strict";
function main() {
// Get A WebGL context
/** @type {HTMLCanvasElement} */
var canvas = document.querySelector("#canvas");
var gl = canvas.getContext("webgl");
if (!gl) {
return;
}
// setup GLSL program
var program = webglUtils.createProgramFromScripts(gl, ["vertex-shader-2d", "fragment-shader-2d"]);
// look up where the vertex data needs to go.
var positionLocation = gl.getAttribLocation(program, "a_position");
// lookup uniforms
var colorLocation = gl.getUniformLocation(program, "u_color");
var matrixLocation = gl.getUniformLocation(program, "u_matrix");
// Create a buffer to put positions in
var positionBuffer = gl.createBuffer();
// Bind it to ARRAY_BUFFER (think of it as ARRAY_BUFFER = positionBuffer)
gl.bindBuffer(gl.ARRAY_BUFFER, positionBuffer);
// Put geometry data into buffer
setGeometry(gl);
var translation = [100, 150];
var angleInRadians = 0;
var scale = [1, 1];
var color = [Math.random(), Math.random(), Math.random(), 1];
drawScene();
// Setup a ui.
webglLessonsUI.setupSlider("#x", {value: translation[0], slide: updatePosition(0), max: gl.canvas.width });
webglLessonsUI.setupSlider("#y", {value: translation[1], slide: updatePosition(1), max: gl.canvas.height});
webglLessonsUI.setupSlider("#angle", {slide: updateAngle, max: 360});
webglLessonsUI.setupSlider("#scaleX", {value: scale[0], slide: updateScale(0), min: -5, max: 5, step: 0.01, precision: 2});
webglLessonsUI.setupSlider("#scaleY", {value: scale[1], slide: updateScale(1), min: -5, max: 5, step: 0.01, precision: 2});
function updatePosition(index) {
return function(event, ui) {
translation[index] = ui.value;
drawScene();
};
}
function updateAngle(event, ui) {
var angleInDegrees = 360 - ui.value;
angleInRadians = angleInDegrees * Math.PI / 180;
drawScene();
}
function updateScale(index) {
return function(event, ui) {
scale[index] = ui.value;
drawScene();
};
}
// Draw the scene.
function drawScene() {
webglUtils.resizeCanvasToDisplaySize(gl.canvas);
// Tell WebGL how to convert from clip space to pixels
gl.viewport(0, 0, gl.canvas.width, gl.canvas.height);
// Clear the canvas.
gl.clear(gl.COLOR_BUFFER_BIT);
// Tell it to use our program (pair of shaders)
gl.useProgram(program);
// Turn on the attribute
gl.enableVertexAttribArray(positionLocation);
// Bind the position buffer.
gl.bindBuffer(gl.ARRAY_BUFFER, positionBuffer);
// Tell the attribute how to get data out of positionBuffer (ARRAY_BUFFER)
var size = 2; // 2 components per iteration
var type = gl.FLOAT; // the data is 32bit floats
var normalize = false; // don't normalize the data
var stride = 0; // 0 = move forward size * sizeof(type) each iteration to get the next position
var offset = 0; // start at the beginning of the buffer
gl.vertexAttribPointer(
positionLocation, size, type, normalize, stride, offset);
// set the color
gl.uniform4fv(colorLocation, color);
// Compute the matrices
var matrix = m3.projection(gl.canvas.clientWidth, gl.canvas.clientHeight);
matrix = m3.translate(matrix, translation[0], translation[1]);
matrix = m3.rotate(matrix, angleInRadians);
matrix = m3.scale(matrix, scale[0], scale[1]);
// Set the matrix.
gl.uniformMatrix3fv(matrixLocation, false, matrix);
// Draw the geometry.
var primitiveType = gl.TRIANGLES;
var offset = 0;
var count = 18; // 6 triangles in the 'F', 3 points per triangle
gl.drawArrays(primitiveType, offset, count);
}
}
var m3 = {
projection: function(width, height) {
// Note: This matrix flips the Y axis so that 0 is at the top.
return [
2 / width, 0, 0,
0, -2 / height, 0,
-1, 1, 1
];
},
identity: function() {
return [
1, 0, 0,
0, 1, 0,
0, 0, 1,
];
},
translation: function(tx, ty) {
return [
1, 0, 0,
0, 1, 0,
tx, ty, 1,
];
},
rotation: function(angleInRadians) {
var c = Math.cos(angleInRadians);
var s = Math.sin(angleInRadians);
return [
c,-s, 0,
s, c, 0,
0, 0, 1,
];
},
scaling: function(sx, sy) {
return [
sx, 0, 0,
0, sy, 0,
0, 0, 1,
];
},
multiply: function(a, b) {
var a00 = a[0 * 3 + 0];
var a01 = a[0 * 3 + 1];
var a02 = a[0 * 3 + 2];
var a10 = a[1 * 3 + 0];
var a11 = a[1 * 3 + 1];
var a12 = a[1 * 3 + 2];
var a20 = a[2 * 3 + 0];
var a21 = a[2 * 3 + 1];
var a22 = a[2 * 3 + 2];
var b00 = b[0 * 3 + 0];
var b01 = b[0 * 3 + 1];
var b02 = b[0 * 3 + 2];
var b10 = b[1 * 3 + 0];
var b11 = b[1 * 3 + 1];
var b12 = b[1 * 3 + 2];
var b20 = b[2 * 3 + 0];
var b21 = b[2 * 3 + 1];
var b22 = b[2 * 3 + 2];
return [
b00 * a00 + b01 * a10 + b02 * a20,
b00 * a01 + b01 * a11 + b02 * a21,
b00 * a02 + b01 * a12 + b02 * a22,
b10 * a00 + b11 * a10 + b12 * a20,
b10 * a01 + b11 * a11 + b12 * a21,
b10 * a02 + b11 * a12 + b12 * a22,
b20 * a00 + b21 * a10 + b22 * a20,
b20 * a01 + b21 * a11 + b22 * a21,
b20 * a02 + b21 * a12 + b22 * a22,
];
},
translate: function(m, tx, ty) {
return m3.multiply(m, m3.translation(tx, ty));
},
rotate: function(m, angleInRadians) {
return m3.multiply(m, m3.rotation(angleInRadians));
},
scale: function(m, sx, sy) {
return m3.multiply(m, m3.scaling(sx, sy));
},
};
// Fill the buffer with the values that define a letter 'F'.
function setGeometry(gl) {
gl.bufferData(
gl.ARRAY_BUFFER,
new Float32Array([
// left column
0, 0,
30, 0,
0, 150,
0, 150,
30, 0,
30, 150,
// top rung
30, 0,
100, 0,
30, 30,
30, 30,
100, 0,
100, 30,
// middle rung
30, 60,
67, 60,
30, 90,
30, 90,
67, 60,
67, 90,
]),
gl.STATIC_DRAW);
}
main();
</script>
</html>