webgl学习笔记三-平移旋转缩放

时间:2021-03-02 18:59:29

写在前面

建议先阅读下前面我的两篇文章。

webgl学习笔记一-绘图单点

webgl学习笔记二-绘图多点

平移

1、关键点说明

  • 顶点着色器需要加上 uniform vec4 u_Translation, 存储平移的坐标矢量。

  • 顶点坐标位置 : gl_Position = a_Position + u_Translation

  • 平移API : gl.uniform4f(u_Translation, Tx, Ty, Tz, 0.0);

2、demo

  • html
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Title</title>
</head>
<body>
<canvas id="canvas" width="200px" height="200px"></canvas> </body>
</html>
  • JavaScript

<script>
function main() {
//顶点着色器程序
var VSHADER_SOURCE =
'attribute vec4 a_Position;\n' +
'uniform vec4 u_Translation;\n' +
'void main() {\n' +
' gl_Position = a_Position + u_Translation;\n' +
'}\n'; //片元着色器
var FSHADER_SOURCE =
'void main() {\n' +
' gl_FragColor = vec4(1.0, 0.0, 0.0, 1.0);\n' +
'}\n'; //获取canvas元素
var canvas = document.getElementById('canvas');
//获取绘制二维上下文
var gl = canvas.getContext('webgl');
if (!gl) {
console.log("Failed");
return;
}
//编译着色器
var vertShader = gl.createShader(gl.VERTEX_SHADER);
gl.shaderSource(vertShader, VSHADER_SOURCE);
gl.compileShader(vertShader); var fragShader = gl.createShader(gl.FRAGMENT_SHADER);
gl.shaderSource(fragShader, FSHADER_SOURCE);
gl.compileShader(fragShader);
//合并程序
var shaderProgram = gl.createProgram();
gl.attachShader(shaderProgram, vertShader);
gl.attachShader(shaderProgram, fragShader);
gl.linkProgram(shaderProgram);
gl.useProgram(shaderProgram); //获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position'); if (a_Position < 0) {
console.log('Failed to get the storage location of a_Position');
return;
} var n = initBuffers(gl, shaderProgram); if (n < 0) {
console.log('Failed to set the positions');
return;
} // 清除指定<画布>的颜色
gl.clearColor(0.0, 0.0, 0.0, 1.0); // 清空 <canvas>
gl.clear(gl.COLOR_BUFFER_BIT); gl.drawArrays(gl.TRIANGLES, 0, n);
} function opt(gl, shaderProgram) {
var Tx = 0.5, Ty = 0.5, Tz = 0.0; var u_Translation = gl.getUniformLocation(shaderProgram, 'u_Translation');
if (!u_Translation) {
console.log('Failed to get the storage location of u_Translation');
return;
}
gl.uniform4f(u_Translation, Tx, Ty, Tz, 0.0); } function initBuffers(gl, shaderProgram) {
var vertices = new Float32Array([
0, 0.5, -0.5, -0.5, 0.5, -0.5
]);
var n = 3;//点的个数
//创建缓冲区对象
var vertexBuffer = gl.createBuffer();
if (!vertexBuffer) {
console.log("Failed to create the butter object");
return -1;
}
//将缓冲区对象绑定到目标
gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
//向缓冲区写入数据
gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW);
//获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position');
//将缓冲区对象分配给a_Position变量
gl.vertexAttribPointer(a_Position, 2, gl.FLOAT, false, 0, 0);
//连接a_Position变量与分配给它的缓冲区对象
gl.enableVertexAttribArray(a_Position);
return n; } main();
</script>

旋转

1、关键点说明

  • 坐标P(x,y,z) , 绕Z轴旋转β角度变成 p1(x1, y1, z1)

    则根据数据三角函数公式可得:

x1 = xcosβ - ysinβ

y1 = xsinβ + ycosβ

z1=z

  • 顶点着色器需要加上 uniform float u_CosB, u_SinB 存储旋转角度。

  • 顶点坐标位置 :

    • gl_Position.x = a_Position.x * u_CosB - a_Position.y * u_SinB
    • gl_Position.y = a_Position.x * u_SinB + a_Position.y * u_CosB
  • 旋转API :

    • gl.uniform1f(u_CosB, cosB)
    • gl.uniform1f(u_sinB, sinB);

2、demo

  • JavaScript
<script>
function main() {
//顶点着色器程序
var VSHADER_SOURCE =
'attribute vec4 a_Position;\n' +
'uniform float u_CosB, u_SinB;\n' +
'void main() {\n' +
' gl_Position.x = a_Position.x * u_CosB - a_Position.y * u_SinB;\n' +
' gl_Position.y = a_Position.x * u_SinB + a_Position.y * u_CosB;\n' +
' gl_Position.z = a_Position.z;\n' +
' gl_Position.w = 1.0;\n' +
'}\n'; //片元着色器程序
var FSHADER_SOURCE =
'void main() {\n' +
' gl_FragColor = vec4(1.0, 0.0, 0.0, 1.0);\n' +
'}\n'; var Tx = 0.5, Ty = 0.5, Tz = 0.0; //获取canvas元素
var canvas = document.getElementById('canvas');
//获取绘制二维上下文
var gl = canvas.getContext('webgl');
if (!gl) {
console.log("Failed");
return;
}
//编译着色器
var vertShader = gl.createShader(gl.VERTEX_SHADER);
gl.shaderSource(vertShader, VSHADER_SOURCE);
gl.compileShader(vertShader); var fragShader = gl.createShader(gl.FRAGMENT_SHADER);
gl.shaderSource(fragShader, FSHADER_SOURCE);
gl.compileShader(fragShader);
//合并程序
var shaderProgram = gl.createProgram();
gl.attachShader(shaderProgram, vertShader);
gl.attachShader(shaderProgram, fragShader);
gl.linkProgram(shaderProgram);
gl.useProgram(shaderProgram); //获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position'); if (a_Position < 0) {
console.log('Failed to get the storage location of a_Position');
return;
} var n = initBuffers(gl, shaderProgram); if (n < 0) {
console.log('Failed to set the positions');
return;
} opt(gl, shaderProgram); // 清除指定<画布>的颜色
gl.clearColor(0.0, 0.0, 0.0, 1.0); // 清空 <canvas>
gl.clear(gl.COLOR_BUFFER_BIT); gl.drawArrays(gl.TRIANGLES, 0, n);
} function opt(gl, program) {
// 旋转角度
var ANGLE = 90.0; var radian = Math.PI * ANGLE / 180.0;
var cosB = Math.cos(radian);
var sinB = Math.sin(radian); var u_CosB = gl.getUniformLocation(program, 'u_CosB');
var u_sinB = gl.getUniformLocation(program, 'u_SinB'); gl.uniform1f(u_CosB, cosB);
gl.uniform1f(u_sinB, sinB);
} function initBuffers(gl, shaderProgram) {
var vertices = new Float32Array([
0, 0.5, -0.5, -0.5, 0.5, -0.5
]);
var n = 3;//点的个数
//创建缓冲区对象
var vertexBuffer = gl.createBuffer();
if (!vertexBuffer) {
console.log("Failed to create the butter object");
return -1;
}
//将缓冲区对象绑定到目标
gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
//向缓冲区写入数据
gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW);
//获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position');
//将缓冲区对象分配给a_Position变量
gl.vertexAttribPointer(a_Position, 2, gl.FLOAT, false, 0, 0);
//连接a_Position变量与分配给它的缓冲区对象
gl.enableVertexAttribArray(a_Position);
return n; } main();
</script>

缩放

1、关键点说明

  • 顶点着色器需要加上 uniform mat4 u_xformMatrix, 存储缩放因子的坐标矢量。

  • 顶点坐标位置 : gl_Position = u_xformMatrix * a_Position

  • 缩放API : gl.uniformMatrix4fv(u_xformMatrix, false, xformMatrix);

    • u_xformMatrix : 缩放因子
    • xformMatrix : 原始坐标

2、demo

  • JavaScript
<script>
function main() {
//顶点着色器程序
var VSHADER_SOURCE =
'attribute vec4 a_Position;\n' +
'uniform mat4 u_xformMatrix;\n' +
'void main() {\n' +
' gl_Position = u_xformMatrix * a_Position;\n' +
'}\n'; //片元着色器程序
var FSHADER_SOURCE =
'void main() {\n' +
' gl_FragColor = vec4(1.0, 0.0, 0.0, 1.0);\n' +
'}\n'; var Tx = 0.5, Ty = 0.5, Tz = 0.0; //获取canvas元素
var canvas = document.getElementById('canvas');
//获取绘制二维上下文
var gl = canvas.getContext('webgl');
if (!gl) {
console.log("Failed");
return;
}
//编译着色器
var vertShader = gl.createShader(gl.VERTEX_SHADER);
gl.shaderSource(vertShader, VSHADER_SOURCE);
gl.compileShader(vertShader); var fragShader = gl.createShader(gl.FRAGMENT_SHADER);
gl.shaderSource(fragShader, FSHADER_SOURCE);
gl.compileShader(fragShader);
//合并程序
var shaderProgram = gl.createProgram();
gl.attachShader(shaderProgram, vertShader);
gl.attachShader(shaderProgram, fragShader);
gl.linkProgram(shaderProgram);
gl.useProgram(shaderProgram); //获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position'); if (a_Position < 0) {
console.log('Failed to get the storage location of a_Position');
return;
} var n = initBuffers(gl, shaderProgram); if (n < 0) {
console.log('Failed to set the positions');
return;
} opt(gl, shaderProgram); // 清除指定<画布>的颜色
gl.clearColor(0, 0, 0, 1); // 清空 <canvas>
gl.clear(gl.COLOR_BUFFER_BIT); // Draw the rectangle
gl.drawArrays(gl.TRIANGLES, 0, n);
} // 缩放
function opt(gl, program) {
// 缩放因子 var Sx = 1.0, Sy = 1.5, Sz = 1.0;
var xformMatrix = new Float32Array([
Sx, 0.0, 0.0, 0.0,
0.0, Sy, 0.0, 0.0,
0.0, 0.0, Sz, 0.0,
0.0, 0.0, 0.0, 1.0
]); var u_xformMatrix = gl.getUniformLocation(program, 'u_xformMatrix'); gl.uniformMatrix4fv(u_xformMatrix, false, xformMatrix);
} // 构建缓冲区
function initBuffers(gl, shaderProgram) {
var vertices = new Float32Array([
0, 0.5, -0.5, -0.5, 0.5, -0.5
]);
var n = 3;//点的个数
//创建缓冲区对象
var vertexBuffer = gl.createBuffer();
if (!vertexBuffer) {
console.log("Failed to create the butter object");
return -1;
}
//将缓冲区对象绑定到目标
gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
//向缓冲区写入数据
gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW);
//获取坐标点
var a_Position = gl.getAttribLocation(shaderProgram, 'a_Position');
//将缓冲区对象分配给a_Position变量
gl.vertexAttribPointer(a_Position, 2, gl.FLOAT, false, 0, 0);
//连接a_Position变量与分配给它的缓冲区对象
gl.enableVertexAttribArray(a_Position);
return n;
} // 主方法调用
main();
</script>

写在最后

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