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shadow.html
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<!-- vim: sw=4 ts=4 expandtab smartindent ft=javascript
-->
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<title>WebGL Demo</title>
<style> document, body { margin: 0px; padding: 0px; overflow: hidden; } </style>
</head>
<body>
<canvas id="glcanvas"></canvas>
<script>
const ATLAS_SIZE = 8; /* in emoji, along one axis (total # supported is ATLAS_SIZE*ATLAS_SIZE) */
const TEXELS_PER_QUAD = 300;
const DEPTH_TEX_SIZE = 1 << 9;
const canvas = document.getElementById('glcanvas');
const gl = canvas.getContext('webgl2', {antialias: true});
if (!gl) { alert('Failed to initialize WebGL'); }
(window.onresize = () => {
canvas.width = window.innerWidth;
canvas.height = window.innerHeight;
/* account for e.g. high-retina macbook screens */
if (window.devicePixelRatio > 1) {
canvas.style.width = `${canvas.width}px`;
canvas.style.height = `${canvas.height}px`;
canvas.width *= window.devicePixelRatio;
canvas.height *= window.devicePixelRatio;
}
gl.viewport(
0,
0,
canvas.width,
canvas.height
);
})();
let shaders;
/* compile shaders */
{
const geo_vs =
'attribute vec3 a_pos;' +
'attribute vec3 a_normal;' +
'attribute vec2 a_uv;' +
'uniform mat4 u_matrix;' +
'uniform mat4 u_light_matrix;' +
'varying vec4 v_light_pos;' +
'varying vec3 v_normal;' +
'varying vec2 v_uv;' +
'void main() {' +
' gl_Position = u_matrix * vec4(a_pos.xyz, 1.0);' +
' v_light_pos = u_light_matrix * vec4(a_pos.xy, 0.0, 1.0);' +
' v_normal = a_normal;' +
' v_uv = a_uv;' +
'}';
const geo_fs =
'precision mediump float;' +
'uniform sampler2D u_texture;' +
'uniform vec3 u_light_dir;' +
'varying vec3 v_normal;' +
'varying vec4 v_light_pos;' +
'varying vec2 v_uv;' +
'varying float v_depth;' +
'float decode_float_rgba(vec4 rgba) {' +
' return dot(rgba, vec4(1.0, 1.0/255.0, 1.0/65025.0, 1.0/16581375.0));' +
'}' +
'void main() {' +
' const float bias = -0.002;' +
' float occluding_depth = decode_float_rgba(texture2D(u_texture, (v_light_pos.xy / v_light_pos.w * 0.5) + 0.5));' +
' float frag_depth = (v_light_pos.z / v_light_pos.w * 0.5) + 0.5;' +
' float occlusion = step(frag_depth, occluding_depth - bias);' +
' occlusion = step(0.0, dot(v_normal, normalize(u_light_dir))) * occlusion;' +
' gl_FragColor = vec4(vec3(v_uv * (0.1 + 0.4*occlusion), 0.2*occlusion), 1.0);' +
'}';
const depth_vs =
'precision mediump float;' +
'uniform mat4 u_matrix;' +
'attribute vec4 a_pos;' +
'varying vec4 v_pos;' +
'void main() {' +
' gl_Position = v_pos = u_matrix * a_pos;' +
'}';
const depth_fs =
'precision mediump float;' +
'varying vec4 v_pos;' +
'vec4 encode_float_rgba(float v) {' +
' vec4 enc = vec4(1.0, 255.0, 65025.0, 16581375.0) * v;' +
' enc = fract(enc);' +
' enc -= enc.yzww * vec4(1.0/255.0,1.0/255.0,1.0/255.0,0.0);' +
' return enc;' +
'}' +
'void main() {' +
' float depth = v_pos.z / v_pos.w;' +
' gl_FragColor = encode_float_rgba(depth * 0.5 + 0.5);' +
'}';
function createProgram(gl, vertexSource, fragmentSource) {
function createShader(gl, type, source) {
const shader = gl.createShader(type);
gl.shaderSource(shader, source);
gl.compileShader(shader);
if (!gl.getShaderParameter(shader, gl.COMPILE_STATUS)) {
throw new Error(gl.getShaderInfoLog(shader));
}
return shader;
}
const program = gl.createProgram();
const vertexShader = createShader(gl, gl.VERTEX_SHADER, vertexSource);
const fragmentShader = createShader(gl, gl.FRAGMENT_SHADER, fragmentSource);
gl.attachShader(program, vertexShader);
gl.attachShader(program, fragmentShader);
gl.linkProgram(program);
if (!gl.getProgramParameter(program, gl.LINK_STATUS)) {
throw new Error(gl.getProgramInfoLog(program));
}
const wrapper = {program};
const numAttributes = gl.getProgramParameter(program, gl.ACTIVE_ATTRIBUTES);
for (let i = 0; i < numAttributes; i++) {
const attribute = gl.getActiveAttrib(program, i);
wrapper[attribute.name] = gl.getAttribLocation(program, attribute.name);
}
const numUniforms = gl.getProgramParameter(program, gl.ACTIVE_UNIFORMS);
for (let i = 0; i < numUniforms; i++) {
const uniform = gl.getActiveUniform(program, i);
wrapper[uniform.name] = gl.getUniformLocation(program, uniform.name);
}
return wrapper;
}
shaders = {
geo: createProgram(gl, geo_vs , geo_fs),
depth: createProgram(gl, depth_vs , depth_fs),
}
}
let depth_color = gl.createTexture();
let depth_depth = gl.createTexture();
let depth_fb = gl.createFramebuffer();
{
gl.bindTexture(gl.TEXTURE_2D, depth_color);
gl.texImage2D(
/* target */ gl.TEXTURE_2D,
/* level */ 0,
/* internalformat */ gl.RGBA,
/* width */ DEPTH_TEX_SIZE,
/* height */ DEPTH_TEX_SIZE,
/* border, */ 0,
/* format, */ gl.RGBA,
/* type, */ gl.UNSIGNED_BYTE,
/* data */ null
);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.LINEAR);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.LINEAR);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, gl.CLAMP_TO_EDGE);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, gl.CLAMP_TO_EDGE);
gl.bindFramebuffer(gl.FRAMEBUFFER, depth_fb);
gl.framebufferTexture2D(gl.FRAMEBUFFER, gl.COLOR_ATTACHMENT0, gl.TEXTURE_2D, depth_color, 0);
}
{
gl.bindTexture(gl.TEXTURE_2D, depth_depth);
// define size and format of level 0
gl.texImage2D(
gl.TEXTURE_2D,
/* level, */ 0,
/* internalFormat, */ gl.DEPTH_COMPONENT24,
/* width, */ DEPTH_TEX_SIZE,
/* height, */ DEPTH_TEX_SIZE,
/* border, */ 0,
/* format, */ gl.DEPTH_COMPONENT,
/* type, */ gl.UNSIGNED_INT,
/* data */ null
);
// set the filtering so we don't need mips
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.NEAREST);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.NEAREST);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, gl.CLAMP_TO_EDGE);
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, gl.CLAMP_TO_EDGE);
/* bind depth tex to our framebuffer */
gl.framebufferTexture2D(gl.FRAMEBUFFER, gl.DEPTH_ATTACHMENT, gl.TEXTURE_2D, depth_depth, 0);
}
/* potential optimization: reuse pos, index buffer between geo and depth passes */
const buf = {
depth_v_pos: gl.createBuffer(),
depth_i: gl.createBuffer(),
geo_v_pos: gl.createBuffer(),
geo_v_normal: gl.createBuffer(),
geo_v_uv: gl.createBuffer(),
geo_i: gl.createBuffer(),
};
let input = {
pitch: Math.PI*0.20,
yaw: -Math.PI*0.25,
dampedEvent: { button: 0, movementX: 0, movementY: 0 },
cam_pivot_x: 0,
cam_pivot_y: 0,
cam_pivot_z: 0,
zoom: 5,
scroll: 0,
lmb_down: false,
rmb_down: false,
}
let wheelTimeout;
window.onwheel = e => {
if (input.mouse_down) return;
input.scroll = Math.sign(e.deltaY);
clearTimeout(wheelTimeout);
wheelTimeout = setTimeout(() => input.scroll = 0, 100)
};
window.onmousedown = ev => {
ev.preventDefault();
if (ev.button == 0) input.lmb_down = true;
if (ev.button == 2) input.rmb_down = true;
};
window.onmousemove = ev => {
input.dampedEvent.button = ev.button;
input.dampedEvent.movementX = ev.movementX;
input.dampedEvent.movementY = ev.movementY;
};
window.oncontextmenu = ev => ev.preventDefault();
window.onmouseup = ev => {
ev.preventDefault();
if (ev.button == 0) input.lmb_down = false;
if (ev.button == 2) input.rmb_down = false;
};
requestAnimationFrame(function frame(timestamp) {
requestAnimationFrame(frame);
/* we could apply these changes directly in the event handlers, but the result feels "low fps"
* because we don't get input events at 60fps. so instead, we apply the changes every frame
* and simply "damp them" so that they get weaker every frame.
*
* (this should probably use delta time rather than simply *= 0.8) */
{
const ev = input.dampedEvent;
/* based on the assumption that if you're zoomed in more,
* you're doing finer-detailed work and want more precise movements. */
const zoom_fudge = Math.sqrt(input.zoom/10.0)*2.0;
if (input.lmb_down) {
input.pitch -= ev.movementX * 0.0035 * zoom_fudge;
input.yaw -= ev.movementY * 0.0035 * zoom_fudge;
}
if (input.rmb_down) {
const unit = [0, -ev.movementX*0.0075*zoom_fudge, ev.movementY*0.0075*zoom_fudge, 1];
{
const view = mat4_create();
const scratch = mat4_create();
mat4_from_z_rotation(scratch, input.pitch);
mat4_mul(view, view, scratch);
mat4_from_y_rotation(scratch, input.yaw);
mat4_mul(view, view, scratch);
mat4_transform_vec4(unit, unit, view);
}
input.cam_pivot_x += unit[0];
input.cam_pivot_y += unit[1];
input.cam_pivot_z += unit[2];
}
ev.button *= 0.8;
ev.movementX *= 0.8;
ev.movementY *= 0.8;
}
input.zoom += 0.025*input.scroll*input.zoom;
const mvp = mat4_create();
const mvp_light = mat4_create();
const light_dir = [1, 0, 0, 1];
const scratch = mat4_create();
{
const view = mat4_create();
const model = mat4_create();
{
/* assign view */
{
const pitch = Math.PI*0.35;
const yaw = -Math.PI*0.25;
{
mat4_from_z_rotation(scratch, pitch);
mat4_mul(view, view, scratch);
mat4_from_y_rotation(scratch, yaw);
mat4_mul(view, view, scratch);
mat4_transform_vec4(light_dir, light_dir, view);
}
mat4_target_to(
view,
light_dir,
[0, 0, 0],
[0, 0, 1]
);
mat4_invert(view, view);
}
const scale = 3.0;
const projection = mat4_ortho(mat4_create(), -scale, scale, -scale, scale, -1.0, 3.0);
mat4_mul(mvp_light, projection, view);
mat4_mul(mvp_light, mvp_light, model);
}
{
/* reset "view" */
mat4_from_scaling(view, 1, 1, 1);
/* assign view */
{
const eye = [input.zoom, 0, 0, 1];
{
mat4_from_z_rotation(scratch, input.pitch);
mat4_mul(view, view, scratch);
mat4_from_y_rotation(scratch, input.yaw);
mat4_mul(view, view, scratch);
mat4_transform_vec4(eye, eye, view);
}
eye[0] += input.cam_pivot_x;
eye[1] += input.cam_pivot_y;
eye[2] += input.cam_pivot_z;
mat4_target_to(
view,
eye,
[input.cam_pivot_x, input.cam_pivot_y, input.cam_pivot_z],
[ 0, 0, 1]
);
mat4_invert(view, view);
}
const FIELD_OF_VIEW = 70 / 180 * Math.PI;
const ar = window.innerWidth / window.innerHeight;
const projection = mat4_perspective(mat4_create(), FIELD_OF_VIEW, ar, 0.01, 100.0);
mat4_mul(mvp, projection, view);
mat4_mul(mvp, mvp, model);
}
}
const geo_idx = [];
const geo_pos = [];
const geo_normal = [];
const geo_uv = [];
{
const corners = [
-0.5, 0, 0,
-0.5, 0, 1,
0.5, 0, 1,
0.5, 0, 0, /* Front face */
];
for (let y = -1; y <= 2; y++) {
for (let x = -1; x <= 2; x++) {
corners.push(
x-1, y-1, 0,
x , y-1, 0,
x , y , 0,
x-1, y , 0
);
}
}
const backfaces = new Array(corners.length);
for (let quad_index = 0; quad_index < corners.length; quad_index += 12) {
for (let vert_index = 0; vert_index < 4; vert_index++) {
const src_i = quad_index + 3*(4 - vert_index - 1);
const dst_i = quad_index + 3*(vert_index);
backfaces[dst_i + 0] = corners[src_i + 0];
backfaces[dst_i + 1] = corners[src_i + 1];
backfaces[dst_i + 2] = corners[src_i + 2];
}
}
corners.push(...backfaces);
for (let corner_i = 0; corner_i < corners.length; corner_i += 12) {
/* generate UVs from atlas_index */
{
const atlas_index = corner_i / 12;
if (atlas_index > (ATLAS_SIZE*ATLAS_SIZE)) debugger;
const u = ( atlas_index % ATLAS_SIZE );
const v = (Math.floor(atlas_index / ATLAS_SIZE));
geo_uv.push(
1, 1, // (u+1)/ATLAS_SIZE, (v+1)/ATLAS_SIZE,
0, 1, // (u+0)/ATLAS_SIZE, (v+1)/ATLAS_SIZE,
0, 0, // (u+0)/ATLAS_SIZE, (v+0)/ATLAS_SIZE,
1, 0, // (u+1)/ATLAS_SIZE, (v+0)/ATLAS_SIZE,
);
}
/* calculate the normal using the cross product */
{
let cross_x, cross_y, cross_z;
{
const lhs_x = corners[corner_i + 3] - corners[corner_i + 0];
const lhs_y = corners[corner_i + 4] - corners[corner_i + 1];
const lhs_z = corners[corner_i + 5] - corners[corner_i + 2];
const rhs_x = corners[corner_i + 6] - corners[corner_i + 0];
const rhs_y = corners[corner_i + 7] - corners[corner_i + 1];
const rhs_z = corners[corner_i + 8] - corners[corner_i + 2];
cross_x = lhs_y * rhs_z - rhs_y * lhs_z;
cross_y = lhs_z * rhs_x - rhs_z * lhs_x;
cross_z = lhs_x * rhs_y - rhs_x * lhs_y;
/* normalize */
const len = Math.sqrt(cross_x*cross_x +
cross_y*cross_y +
cross_z*cross_z);
cross_x /= len;
cross_y /= len;
cross_z /= len;
}
geo_normal.push(
cross_x, cross_y, cross_z,
cross_x, cross_y, cross_z,
cross_x, cross_y, cross_z,
cross_x, cross_y, cross_z,
);
}
const vbuf_i = geo_pos.length / 3;
geo_pos.push(corners[corner_i + 0], corners[corner_i + 1], corners[corner_i + 2]);
geo_pos.push(corners[corner_i + 3], corners[corner_i + 4], corners[corner_i + 5]);
geo_pos.push(corners[corner_i + 6], corners[corner_i + 7], corners[corner_i + 8]);
geo_pos.push(corners[corner_i + 9], corners[corner_i + 10], corners[corner_i + 11]);
geo_idx.push(
vbuf_i + 0,
vbuf_i + 1,
vbuf_i + 2,
vbuf_i + 2,
vbuf_i + 3,
vbuf_i + 0
);
}
}
{
/* depth_pass */
{
/* bind depth and clear */
{
gl.viewport(
0,
0,
DEPTH_TEX_SIZE,
DEPTH_TEX_SIZE
);
gl.bindFramebuffer(gl.FRAMEBUFFER, depth_fb);
// gl.bindFramebuffer(gl.FRAMEBUFFER, null);
/* enable depth */
gl.enable(gl.DEPTH_TEST);
gl.depthFunc(gl.LEQUAL);
/* backface culling */
gl.cullFace(gl.BACK);
gl.enable(gl.CULL_FACE);
/* clear all */
gl.clearColor(1, 0, 0, 1);
gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);
}
gl.useProgram(shaders.depth.program);
gl.enableVertexAttribArray(shaders.depth.a_pos);
gl.uniformMatrix4fv(shaders.depth.u_matrix, false, mvp_light);
/* upload/bind geometry */
{
gl.bindBuffer(gl.ARRAY_BUFFER, buf.depth_v_pos);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(geo_pos), gl.STATIC_DRAW);
gl.vertexAttribPointer(shaders.depth.a_pos, 3, gl.FLOAT, false, 0, 0);
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, buf.depth_i);
gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Uint16Array(geo_idx), gl.STATIC_DRAW);
}
gl.drawElements(gl.TRIANGLES, geo_idx.length, gl.UNSIGNED_SHORT, 0);
}
/* geo_pass */
{
/* bind to screen and clear */
{
gl.bindFramebuffer(gl.FRAMEBUFFER, null);
gl.viewport(
0,
0,
canvas.width,
canvas.height
);
/* enable depth */
gl.enable(gl.DEPTH_TEST);
gl.depthFunc(gl.LEQUAL);
/* backface culling */
gl.cullFace(gl.BACK);
gl.enable(gl.CULL_FACE);
/* clear all */
gl.clearColor(0, 0, 0, 1);
gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);
}
gl.useProgram(shaders.geo.program);
gl.enableVertexAttribArray(shaders.geo.a_pos);
gl.enableVertexAttribArray(shaders.geo.a_normal);
gl.enableVertexAttribArray(shaders.geo.a_uv);
gl.uniformMatrix4fv(shaders.geo.u_light_matrix, false, mvp_light);
gl.uniformMatrix4fv(shaders.geo.u_matrix, false, mvp);
gl.uniform3f(shaders.geo.u_light_dir, light_dir[0], light_dir[1], light_dir[2]);
/* upload/bind atlas */
{
gl.activeTexture(gl.TEXTURE0);
gl.bindTexture(gl.TEXTURE_2D, depth_color);
gl.uniform1i(shaders.geo.u_texture, 0);
}
/* upload/bind geometry */
{
gl.bindBuffer(gl.ARRAY_BUFFER, buf.geo_v_pos);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(geo_pos), gl.STATIC_DRAW);
gl.vertexAttribPointer(shaders.geo.a_pos, 3, gl.FLOAT, false, 0, 0);
gl.bindBuffer(gl.ARRAY_BUFFER, buf.geo_v_normal);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(geo_normal), gl.STATIC_DRAW);
gl.vertexAttribPointer(shaders.geo.a_normal, 3, gl.FLOAT, true, 0, 0);
gl.bindBuffer(gl.ARRAY_BUFFER, buf.geo_v_uv);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array(geo_uv), gl.STATIC_DRAW);
gl.vertexAttribPointer(shaders.geo.a_uv, 2, gl.FLOAT, false, 0, 0);
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, buf.geo_i);
gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Uint16Array(geo_idx), gl.STATIC_DRAW);
}
gl.drawElements(gl.TRIANGLES, geo_idx.length, gl.UNSIGNED_SHORT, 0);
}
}
})
function mat4_create() {
let out = new Float32Array(16);
out[0] = 1;
out[5] = 1;
out[10] = 1;
out[15] = 1;
return out;
}
function mat4_ortho(out, left, right, bottom, top, near, far) {
let lr = 1 / (left - right);
let bt = 1 / (bottom - top);
let nf = 1 / (near - far);
out[0] = -2 * lr;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = -2 * bt;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = 2 * nf;
out[11] = 0;
out[12] = (left + right) * lr;
out[13] = (top + bottom) * bt;
out[14] = (far + near) * nf;
out[15] = 1;
return out;
}
function mat4_invert(out, a) {
let a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
let a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
let a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
let a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
let b00 = a00 * a11 - a01 * a10;
let b01 = a00 * a12 - a02 * a10;
let b02 = a00 * a13 - a03 * a10;
let b03 = a01 * a12 - a02 * a11;
let b04 = a01 * a13 - a03 * a11;
let b05 = a02 * a13 - a03 * a12;
let b06 = a20 * a31 - a21 * a30;
let b07 = a20 * a32 - a22 * a30;
let b08 = a20 * a33 - a23 * a30;
let b09 = a21 * a32 - a22 * a31;
let b10 = a21 * a33 - a23 * a31;
let b11 = a22 * a33 - a23 * a32;
/* Calculate the determinant */
let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
if (!det) {
return null;
}
det = 1.0 / det;
out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
out[1] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
out[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
out[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det;
out[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
out[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
out[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
out[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det;
out[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
out[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
out[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
out[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det;
out[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det;
out[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det;
out[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det;
out[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det;
return out;
}
function mat4_perspective(out, fovy, aspect, near, far) {
let f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = f;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[11] = -1;
out[12] = 0;
out[13] = 0;
out[15] = 0;
if (far != null && far !== Infinity) {
nf = 1 / (near - far);
out[10] = (far + near) * nf;
out[14] = 2 * far * near * nf;
} else {
out[10] = -1;
out[14] = -2 * near;
}
return out;
}
function mat4_from_x_rotation(out, rad) {
let s = Math.sin(rad);
let c = Math.cos(rad);
/* Perform axis-specific matrix multiplication */
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = c;
out[6] = s;
out[7] = 0;
out[8] = 0;
out[9] = -s;
out[10] = c;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
function mat4_from_y_rotation(out, rad) {
let s = Math.sin(rad);
let c = Math.cos(rad);
/* Perform axis-specific matrix multiplication */
out[0] = c;
out[1] = 0;
out[2] = -s;
out[3] = 0;
out[4] = 0;
out[5] = 1;
out[6] = 0;
out[7] = 0;
out[8] = s;
out[9] = 0;
out[10] = c;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
function mat4_from_z_rotation(out, rad) {
let s = Math.sin(rad);
let c = Math.cos(rad);
/* Perform axis-specific matrix multiplication */
out[0] = c;
out[1] = s;
out[2] = 0;
out[3] = 0;
out[4] = -s;
out[5] = c;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = 1;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
function mat4_from_scaling(out, f) {
out[0] = f;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = f;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = f;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
function mat4_from_translation(out, v) {
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = 1;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = 1;
out[11] = 0;
out[12] = v[0];
out[13] = v[1];
out[14] = v[2];
out[15] = 1;
return out;
}
function mat4_transform_vec4(out, a, m) {
let x = a[0], y = a[1], z = a[2], w = a[3];
out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;
out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;
out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;
out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;
return out;
}
function mat4_mul(out, a, b) {
let a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
let a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
let a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
let a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
/* Cache only the current line of the second matrix */
let b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
out[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
out[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
out[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
out[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[4];
b1 = b[5];
b2 = b[6];
b3 = b[7];
out[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
out[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
out[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
out[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[8];
b1 = b[9];
b2 = b[10];
b3 = b[11];
out[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
out[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
out[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
out[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[12];
b1 = b[13];
b2 = b[14];
b3 = b[15];
out[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
out[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
out[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
out[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
return out;
}
function mat4_target_to(out, eye, target, up=VEC3_UP) {
let eyex = eye[0], eyey = eye[1], eyez = eye[2],
upx = up[0], upy = up[1], upz = up[2];
let z0 = eyex - target[0],
z1 = eyey - target[1],
z2 = eyez - target[2];
let len = z0 * z0 + z1 * z1 + z2 * z2;
if (len > 0) {
len = 1 / Math.sqrt(len);
z0 *= len;
z1 *= len;
z2 *= len;
}
let x0 = upy * z2 - upz * z1,
x1 = upz * z0 - upx * z2,
x2 = upx * z1 - upy * z0;
len = x0 * x0 + x1 * x1 + x2 * x2;
if (len > 0) {
len = 1 / Math.sqrt(len);
x0 *= len;
x1 *= len;
x2 *= len;
}
out[0] = x0;
out[1] = x1;
out[2] = x2;
out[3] = 0;
out[4] = z1 * x2 - z2 * x1;
out[5] = z2 * x0 - z0 * x2;
out[6] = z0 * x1 - z1 * x0;
out[7] = 0;
out[8] = z0;
out[9] = z1;
out[10] = z2;
out[11] = 0;
out[12] = eyex;
out[13] = eyey;
out[14] = eyez;
out[15] = 1;
return out;
}
</script>
</body>
</html>
/html>