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webGL入门知识讲解

一、webGL简介

什么是webGL

webgl是一种3D绘图协议,衍生于 OpenGL ES2.0,可以结合 Html5 和 JavaScript 在网页上绘制和渲染二/三维图形。
WebGL api 提供三维绘图的方式
图形的绘制主要通过 WebGLRenderingContext 接口完成

WebGL的优势

内嵌在浏览器中,不需要安装任何插件即可运⾏;
只需要⼀个⽂本编辑器和浏览器,就可以编写三维图形程序;
学习和使用比较简单

webgl开源框架

1.Three.js:JavaScript 3D WebGL库
2.Babylon.js:Web3D图形引擎
3.KickJS:Web的开源图形和游戏引擎
4.ClayGL:构建可扩展的Web3D应⽤程序
5.PlayCanvas:网络游戏和3D图形引擎
6.WebGLStudio.js和Litescene.js:开源Web 3D图形编辑器和创建器
7.Luma:Uber的3D WebGL可视化库
8.A-Frame是用于构建VR(虚拟现实)体验的Web框架

二、webGL入门知识

2.1 清空绘图区颜色
  • gl.clearColor(r,g,b,a) :指定清空绘图区的颜⾊,接收四个参数(取值区间为 0.0~1.0)
  • gl.clear(gl.COLOR_BUFFER_BIT) :使用之前指定的颜色,清空绘图区
  • gl.clear 需要和 gl.clearColor 提到的函数搭配使用
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 指定将要用来清空绘图区的颜色  清空颜色缓存// gl.clearColor(r,g,b,a) 指定清空 <canvas> 的颜⾊,接收四个参数(取值区间为 0.0~1.0)gl.clearColor(1.0,0.0,0.0,1.0) // red 1.0  green 0.0  blue 0.0 alpha 1.0// 使用之前指定的颜色,清空绘图区gl.clear(gl.COLOR_BUFFER_BIT)</script>
2.2 webGL三维坐标
坐标系概览

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绘图区域

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2.3 学习使用attribute变量

attribute 变量只能在顶点着色器中使用,不能在片元着色器中使用
变量声明方法如下:
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获取attribute变量

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给attribute变量赋值

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改变顶点位置案例
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script>
</head>
<body>
<canvas id="canvas" width="400" height="400">此浏览器不支持canvas
</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `// 只传递顶点数据attribute vec4 aPosition;void main() {gl_Position = aPosition; // vec4(0.0,0.0,0.0,1.0)gl_PointSize = 30.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');// gl.vertexAttrib4f(aPosition, 0.5,0.5,0.0,1.0)// gl.vertexAttrib3f(aPosition, 0.5,0.5,0.0)// gl.vertexAttrib2f(aPosition, 0.5,0.5)let x = 0;setInterval(() => {x += 0.1;if (x > 1.0) {x = 0;}// 只改变x值gl.vertexAttrib1f(aPosition, x)gl.drawArrays(gl.POINTS, 0, 1);}, 200)
function initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE) {const vertexShader = gl.createShader(gl.VERTEX_SHADER);const fragmentShader = gl.createShader(gl.FRAGMENT_SHADER);gl.shaderSource(vertexShader, VERTEX_SHADER_SOURCE) // 指定顶点着色器的源码gl.shaderSource(fragmentShader, FRAGMENT_SHADER_SOURCE) // 指定片元着色器的源码// 编译着色器gl.compileShader(vertexShader)gl.compileShader(fragmentShader)// 创建一个程序对象const program = gl.createProgram();gl.attachShader(program, vertexShader)gl.attachShader(program, fragmentShader)gl.linkProgram(program)gl.useProgram(program)return program;
}
</script>
流程

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2.4 学习使用uniform
使用 uniform 变量

添加 uniform 变量,设置到颜色上

获取 uniform 变量存储地址

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给uniform 变量赋值

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设置精度

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<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `uniform vec4 uPosition;// 只传递顶点数据attribute vec4 aPosition;void main() {gl_Position = aPosition; // vec4(0.0,0.0,0.0,1.0)gl_PointSize = 10.0;}`; // 顶点着色器// 顶点着色器需要指定精度,如下指定精度为中级精度const FRAGMENT_SHADER_SOURCE = `precision mediump float;uniform vec2 uColor;void main() {gl_FragColor = vec4(uColor.r, uColor.g, 0.0,1.0); // vec4}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const uColor = gl.getUniformLocation(program, 'uColor')const points = []ctx.onclick = function(ev) {// 坐标const x = ev.clientXconst y = ev.clientYconst domPosition = ev.target.getBoundingClientRect();const domx = x - domPosition.leftconst domy = y - domPosition.top;// 当前画布宽度的一半const halfWidth = ctx.offsetWidth / 2// 当前画布高度的一半const halfHeight = ctx.offsetHeight / 2const clickX = (domx - halfWidth) / halfWidthconst clickY = (halfHeight - domy) / halfHeightpoints.push({clickX, clickY})for (let i = 0; i < points.length; i++) {gl.vertexAttrib2f(aPosition, points[i].clickX, points[i].clickY)gl.uniform2f(uColor, points[i].clickX, points[i].clickY)gl.drawArrays(gl.POINTS, 0, 1);}}
</script>

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流程

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三、图形绘制与变换

3.1绘制多个点
3.1.1什么是缓冲区对象

缓冲区对象是WebGL系统中的一块内存区域,可以一次性地向缓冲区对象中填充大量的顶点数据,然后将这些数据保存在其中,供顶点着色器使用。

3.1.2创建顶点数据

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3.1.3 类型化数组

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3.1.4创建缓冲区对象

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3.1.5 gl.bindBuffer(target, buffer)

buffer: 已经创建好的缓冲区对象
target:可以是如下两种
gl.ARRAY_BUFFER: 表示缓冲区存储的是顶点的数据
gl.ELEMENT_ARRAY_BUFFER: 表示缓冲区存储的是顶点的索引值

3.1.6 gl.bufferData(target, data, type)

target: 类型同 gl.bindBuffer 中的 target
data: 写⼊缓冲区的顶点数据,如程序中的 points
type: 表示如何使⽤缓冲区对象中的数据,分为以下⼏类
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3.1.7 gl,vertexAttribPointer(location, size, type, normalized, stride, offset) 将缓冲区对象分配给一个attribute变量

location: attribute 变量的存储位置
size: 指定每个顶点所使⽤数据的个数
type: 指定数据格式
normalized: 表示是否将数据归⼀化到 [0, 1] [-1, 1] 这个区间
stride:两个相邻顶点之间的字节数
offset:数据偏移量

3.1.8 gl.enableVertexAttribArray(location) 开启attribute变量
3.1.9 绘制多点案例
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `// 只传递顶点数据attribute vec4 aPosition;void main() {gl_Position = aPosition; // vec4(0.0,0.0,0.0,1.0)gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])// 创建缓冲区对象const buffer = gl.createBuffer();// gl.ARRAY_BUFFER 缓冲区存储的是顶点数据gl.bindBuffer(gl.ARRAY_BUFFER, buffer);// 将数据写入缓冲区对象gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);// 写入一次,多次绘制// 将缓冲区对象分配给一个attribute变量gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);// 开启attribute变量gl.enableVertexAttribArray(aPosition)// gl.vertexAttrib2f(aPosition, 0.0, 0.0)// 绘制什么图形,从哪个顶点开始绘制,需要绘制几个顶点gl.drawArrays(gl.POINTS, 0, 3);
</script>
3.1.10 缓冲区使用流程

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3.1.11 缓冲区执行过程

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3.2 数据偏移
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body>
<canvas id="canvas" width="400" height="400">此浏览器不支持canvas
</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;attribute float aPointSize;void main() {gl_Position = aPosition;gl_PointSize = aPointSize;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const aPointSize = gl.getAttribLocation(program, 'aPointSize');const points = new Float32Array([-0.5, -0.5, 10.0, // 10.00.5, -0.5, 20.0, // 20.00.0,  0.5, 30.0, // 30.0])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);const BYTES = points.BYTES_PER_ELEMENT;
// 两个数据之间的字节数是3。偏移0个字节取值。gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, BYTES * 3, 0);gl.enableVertexAttribArray(aPosition)
// 两个数据之间的字节数是3。偏移2个字节取值。gl.vertexAttribPointer(aPointSize, 1, gl.FLOAT, false, BYTES * 3, BYTES * 2);gl.enableVertexAttribArray(aPointSize)gl.drawArrays(gl.POINTS, 0, 3);
</script>
3.3 多图形绘制

gl.drawArrays(mode, first, count)的mode参数其实十分强大,可以按照不同的规则绘制不同的图形,可直接绘制的图形有七种,这七种图形是绘制其它各种复杂图形的基础。
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3.4 图形平移
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;attribute float aTranslate;void main() {gl_Position = vec4(aPosition.x + aTranslate, aPosition.y, aPosition.z, 1.0);gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const aTranslate = gl.getAttribLocation(program, 'aTranslate');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let x = -1;setInterval(() => {x += 0.01;if (x > 1) {x = -1;}gl.vertexAttrib1f(aTranslate, x);gl.drawArrays(gl.TRIANGLES, 0, 3);}, 60)
</script>
3.5 图形缩放
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;attribute float aScale;void main() {gl_Position = vec4(aPosition.x * aScale, aPosition.y * aScale, aPosition.z * aScale, 1.0);gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const aScale = gl.getAttribLocation(program, 'aScale');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let x = 1;setInterval(() => {x += 0.1;if (x > 2) {x = 1;}gl.vertexAttrib1f(aScale, x);gl.drawArrays(gl.TRIANGLES, 0, 3);}, 60)
</script>
3.6 图形平移-平移矩阵
// 平移矩阵
function getTranslateMatrix(x = 0,y = 0,z = 0) {return new Float32Array([1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,x  ,y  ,z  , 1,])
}
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;uniform mat4 mat;void main() {gl_Position = mat * aPosition;gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const mat = gl.getUniformLocation(program, 'mat');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let x = -1;function animation() {x += 0.01;if (x > 1) {x = -1;}// getTranslateMatrix的x和y参数是x轴和y轴的偏移量const matrix = getTranslateMatrix(x,x);// gl.vertexAttrib1f(aTranslate, x);gl.uniformMatrix4fv(mat, false, matrix);gl.drawArrays(gl.TRIANGLES, 0, 3);requestAnimationFrame(animation);}animation()
</script>
平移矩阵函数推导过程

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3.7缩放矩阵-图形缩放
// 缩放矩阵
function getScaleMatrix(x = 1,y = 1,z = 1) {return new Float32Array([x  ,0.0,0.0,0.0,0.0,y  ,0.0,0.0,0.0,0.0,z  ,0.0,0.0,0.0,0.0, 1,])
}
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>
// 矩阵在数学中是按行,在webgl中是按列的,所以把数学中的矩阵沿着对角线做翻转const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码// uniform对所有变量生效const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;uniform mat4 mat;void main() {gl_Position = mat * aPosition;gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const mat = gl.getUniformLocation(program, 'mat');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let x = 0.1;function animation() {x += 0.01;if (x > 1.5) {x = 0.1;}// getScaleMatrix 的参数 x,y是x轴坐标和y轴坐标分别放大多少倍数;const matrix = getScaleMatrix(x,x);// gl.vertexAttrib1f(aTranslate, x);gl.uniformMatrix4fv(mat, false, matrix);gl.drawArrays(gl.TRIANGLES, 0, 3);requestAnimationFrame(animation);}animation()
</script>
缩放矩阵推导过程

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3.8 旋转矩阵
// 绕z轴旋转的旋转矩阵
function getRotateMatrix(deg) {return new Float32Array([Math.cos(deg)  ,Math.sin(deg) ,0.0,0.0,-Math.sin(deg)  ,Math.cos(deg) ,0.0,0.0,0.0,            0.0,            1.0,0.0,0.0,            0.0,            0.0, 1,])
}
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body><canvas id="canvas" width="400" height="400">此浏览器不支持canvas</canvas>
</body>
</html>
<script>
// 矩阵在数学中是按行,在webgl中是按列的,所以把数学中的矩阵沿着对角线做翻转const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码// uniform对所有变量生效const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;uniform mat4 mat;void main() {gl_Position = mat * aPosition;gl_PointSize = 10.0;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const mat = gl.getUniformLocation(program, 'mat');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let x = 0.1;function animation() {x += 0.01;if (x > 1.5) {x = 0.1;}// getScaleMatrix 的参数 x,y是x轴坐标和y轴坐标分别放大多少倍数;const matrix = getScaleMatrix(x,x);// gl.vertexAttrib1f(aTranslate, x);gl.uniformMatrix4fv(mat, false, matrix);gl.drawArrays(gl.TRIANGLES, 0, 3);requestAnimationFrame(animation);}animation()
</script>
旋转矩阵推导过程

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在这里插入图片描述
在这里插入图片描述
在这里插入图片描述

3.9 复合图形变换-矩阵组合
// 矩阵复合函数
function mixMatrix(A, B) {const result = new Float32Array(16);for (let i = 0; i < 4; i++) {result[i] = A[i] * B[0] + A[i + 4] * B[1] + A[i + 8] * B[2] + A[i + 12] * B[3]result[i + 4] = A[i] * B[4] + A[i + 4] * B[5] + A[i + 8] * B[6] + A[i + 12] * B[7]result[i + 8] = A[i] * B[8] + A[i + 4] * B[9] + A[i + 8] * B[10] + A[i + 12] * B[11]result[i + 12] = A[i] * B[12] + A[i + 4] * B[13] + A[i + 8] * B[14] + A[i + 12] * B[15]}return result;
}
<!DOCTYPE html>
<html lang="en">
<head><meta charset="UTF-8"><title>Title</title><script src="../lib/index.js"></script><style>* {margin: 0;padding: 0;}canvas{margin: 50px auto 0;display: block;background: yellow;}</style>
</head>
<body>
<canvas id="canvas" width="400" height="400">此浏览器不支持canvas
</canvas>
</body>
</html>
<script>const ctx = document.getElementById('canvas')const gl = ctx.getContext('webgl')// 创建着色器源码const VERTEX_SHADER_SOURCE = `attribute vec4 aPosition;uniform mat4 mat;void main() {gl_Position = mat * aPosition;}`; // 顶点着色器const FRAGMENT_SHADER_SOURCE = `void main() {gl_FragColor = vec4(1.0,0.0,0.0,1.0);}`; // 片元着色器const program = initShader(gl, VERTEX_SHADER_SOURCE, FRAGMENT_SHADER_SOURCE)const aPosition = gl.getAttribLocation(program, 'aPosition');const mat = gl.getUniformLocation(program, 'mat');const points = new Float32Array([-0.5, -0.5,0.5, -0.5,0.0,  0.5,])const buffer = gl.createBuffer();gl.bindBuffer(gl.ARRAY_BUFFER, buffer);gl.bufferData(gl.ARRAY_BUFFER, points, gl.STATIC_DRAW);gl.vertexAttribPointer(aPosition, 2, gl.FLOAT, false, 0, 0);gl.enableVertexAttribArray(aPosition)let deg = 0;let translateX = -1;let scaleX = 0.1;function animation() {deg += 0.01;translateX += 0.01;scaleX += 0.01;if (translateX > 1) {translateX = -1;}if (scaleX > 1.5) {scaleX = 0.1;}const translate = getTranslateMatrix(translateX);const scale = getScaleMatrix(scaleX);const rotate = getRotateMatrix(deg);const matrix = mixMatrix(mixMatrix(translate, scale), rotate)// gl.vertexAttrib1f(aTranslate, x);gl.uniformMatrix4fv(mat, false, matrix);gl.drawArrays(gl.TRIANGLES, 0, 3);requestAnimationFrame(animation);}animation()
</script>
复合图形变换函数推导

在这里插入图片描述

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