maplibre-gl
Version:
BSD licensed community fork of mapbox-gl, a WebGL interactive maps library
1,950 lines • 1.09 MB
JavaScript
/**
* MapLibre GL JS
* @license 3-Clause BSD. Full text of license: https://github.com/maplibre/maplibre-gl-js/blob/v6.3.0/LICENSE.txt
*/
//#region \0rolldown/runtime.js
var __create = Object.create;
var __defProp = Object.defineProperty;
var __getOwnPropDesc = Object.getOwnPropertyDescriptor;
var __getOwnPropNames = Object.getOwnPropertyNames;
var __getProtoOf = Object.getPrototypeOf;
var __hasOwnProp = Object.prototype.hasOwnProperty;
var __commonJSMin = (cb, mod) => () => (mod || (cb((mod = { exports: {} }).exports, mod), cb = null), mod.exports);
var __copyProps = (to, from, except, desc) => {
if (from && typeof from === "object" || typeof from === "function") for (var keys = __getOwnPropNames(from), i = 0, n = keys.length, key; i < n; i++) {
key = keys[i];
if (!__hasOwnProp.call(to, key) && key !== except) __defProp(to, key, {
get: ((k) => from[k]).bind(null, key),
enumerable: !(desc = __getOwnPropDesc(from, key)) || desc.enumerable
});
}
return to;
};
var __toESM = (mod, isNodeMode, target) => (target = mod != null ? __create(__getProtoOf(mod)) : {}, __copyProps(isNodeMode || !mod || !mod.__esModule || !__hasOwnProp.call(mod, "default") ? __defProp(target, "default", {
value: mod,
enumerable: true
}) : target, mod));
//#endregion
//#region node_modules/@mapbox/point-geometry/index.js
/**
* A standalone point geometry with useful accessor, comparison, and
* modification methods.
*
* @class
* @param {number} x the x-coordinate. This could be longitude or screen pixels, or any other sort of unit.
* @param {number} y the y-coordinate. This could be latitude or screen pixels, or any other sort of unit.
*
* @example
* const point = new Point(-77, 38);
*/
function Point(x, y) {
this.x = x;
this.y = y;
}
Point.prototype = {
/**
* Clone this point, returning a new point that can be modified
* without affecting the old one.
* @return {Point} the clone
*/
clone() {
return new Point(this.x, this.y);
},
/**
* Add this point's x & y coordinates to another point,
* yielding a new point.
* @param {Point} p the other point
* @return {Point} output point
*/
add(p) {
return this.clone()._add(p);
},
/**
* Subtract this point's x & y coordinates to from point,
* yielding a new point.
* @param {Point} p the other point
* @return {Point} output point
*/
sub(p) {
return this.clone()._sub(p);
},
/**
* Multiply this point's x & y coordinates by point,
* yielding a new point.
* @param {Point} p the other point
* @return {Point} output point
*/
multByPoint(p) {
return this.clone()._multByPoint(p);
},
/**
* Divide this point's x & y coordinates by point,
* yielding a new point.
* @param {Point} p the other point
* @return {Point} output point
*/
divByPoint(p) {
return this.clone()._divByPoint(p);
},
/**
* Multiply this point's x & y coordinates by a factor,
* yielding a new point.
* @param {number} k factor
* @return {Point} output point
*/
mult(k) {
return this.clone()._mult(k);
},
/**
* Divide this point's x & y coordinates by a factor,
* yielding a new point.
* @param {number} k factor
* @return {Point} output point
*/
div(k) {
return this.clone()._div(k);
},
/**
* Rotate this point around the 0, 0 origin by an angle a,
* given in radians
* @param {number} a angle to rotate around, in radians
* @return {Point} output point
*/
rotate(a) {
return this.clone()._rotate(a);
},
/**
* Rotate this point around p point by an angle a,
* given in radians
* @param {number} a angle to rotate around, in radians
* @param {Point} p Point to rotate around
* @return {Point} output point
*/
rotateAround(a, p) {
return this.clone()._rotateAround(a, p);
},
/**
* Multiply this point by a 4x1 transformation matrix
* @param {[number, number, number, number]} m transformation matrix
* @return {Point} output point
*/
matMult(m) {
return this.clone()._matMult(m);
},
/**
* Calculate this point but as a unit vector from 0, 0, meaning
* that the distance from the resulting point to the 0, 0
* coordinate will be equal to 1 and the angle from the resulting
* point to the 0, 0 coordinate will be the same as before.
* @return {Point} unit vector point
*/
unit() {
return this.clone()._unit();
},
/**
* Compute a perpendicular point, where the new y coordinate
* is the old x coordinate and the new x coordinate is the old y
* coordinate multiplied by -1
* @return {Point} perpendicular point
*/
perp() {
return this.clone()._perp();
},
/**
* Return a version of this point with the x & y coordinates
* rounded to integers.
* @return {Point} rounded point
*/
round() {
return this.clone()._round();
},
/**
* Return the magnitude of this point: this is the Euclidean
* distance from the 0, 0 coordinate to this point's x and y
* coordinates.
* @return {number} magnitude
*/
mag() {
return Math.sqrt(this.x * this.x + this.y * this.y);
},
/**
* Judge whether this point is equal to another point, returning
* true or false.
* @param {Point} other the other point
* @return {boolean} whether the points are equal
*/
equals(other) {
return this.x === other.x && this.y === other.y;
},
/**
* Calculate the distance from this point to another point
* @param {Point} p the other point
* @return {number} distance
*/
dist(p) {
return Math.sqrt(this.distSqr(p));
},
/**
* Calculate the distance from this point to another point,
* without the square root step. Useful if you're comparing
* relative distances.
* @param {Point} p the other point
* @return {number} distance
*/
distSqr(p) {
const dx = p.x - this.x, dy = p.y - this.y;
return dx * dx + dy * dy;
},
/**
* Get the angle from the 0, 0 coordinate to this point, in radians
* coordinates.
* @return {number} angle
*/
angle() {
return Math.atan2(this.y, this.x);
},
/**
* Get the angle from this point to another point, in radians
* @param {Point} b the other point
* @return {number} angle
*/
angleTo(b) {
return Math.atan2(this.y - b.y, this.x - b.x);
},
/**
* Get the angle between this point and another point, in radians
* @param {Point} b the other point
* @return {number} angle
*/
angleWith(b) {
return this.angleWithSep(b.x, b.y);
},
/**
* Find the angle of the two vectors, solving the formula for
* the cross product a x b = |a||b|sin(θ) for θ.
* @param {number} x the x-coordinate
* @param {number} y the y-coordinate
* @return {number} the angle in radians
*/
angleWithSep(x, y) {
return Math.atan2(this.x * y - this.y * x, this.x * x + this.y * y);
},
/** @param {[number, number, number, number]} m */
_matMult(m) {
const x = m[0] * this.x + m[1] * this.y, y = m[2] * this.x + m[3] * this.y;
this.x = x;
this.y = y;
return this;
},
/** @param {Point} p */
_add(p) {
this.x += p.x;
this.y += p.y;
return this;
},
/** @param {Point} p */
_sub(p) {
this.x -= p.x;
this.y -= p.y;
return this;
},
/** @param {number} k */
_mult(k) {
this.x *= k;
this.y *= k;
return this;
},
/** @param {number} k */
_div(k) {
this.x /= k;
this.y /= k;
return this;
},
/** @param {Point} p */
_multByPoint(p) {
this.x *= p.x;
this.y *= p.y;
return this;
},
/** @param {Point} p */
_divByPoint(p) {
this.x /= p.x;
this.y /= p.y;
return this;
},
_unit() {
this._div(this.mag());
return this;
},
_perp() {
const y = this.y;
this.y = this.x;
this.x = -y;
return this;
},
/** @param {number} angle */
_rotate(angle) {
const cos = Math.cos(angle), sin = Math.sin(angle), x = cos * this.x - sin * this.y, y = sin * this.x + cos * this.y;
this.x = x;
this.y = y;
return this;
},
/**
* @param {number} angle
* @param {Point} p
*/
_rotateAround(angle, p) {
const cos = Math.cos(angle), sin = Math.sin(angle), x = p.x + cos * (this.x - p.x) - sin * (this.y - p.y), y = p.y + sin * (this.x - p.x) + cos * (this.y - p.y);
this.x = x;
this.y = y;
return this;
},
_round() {
this.x = Math.round(this.x);
this.y = Math.round(this.y);
return this;
},
constructor: Point
};
/**
* Construct a point from an array if necessary, otherwise if the input
* is already a Point, return it unchanged.
* @param {Point | [number, number] | {x: number, y: number}} p input value
* @return {Point} constructed point.
* @example
* // this
* var point = Point.convert([0, 1]);
* // is equivalent to
* var point = new Point(0, 1);
*/
Point.convert = function(p) {
if (p instanceof Point) return p;
if (Array.isArray(p)) return new Point(+p[0], +p[1]);
if (p.x !== void 0 && p.y !== void 0) return new Point(+p.x, +p.y);
throw new Error("Expected [x, y] or {x, y} point format");
};
//#endregion
//#region node_modules/@mapbox/unitbezier/index.js
function unitBezier$1(p1x, p1y, p2x, p2y) {
const cx = 3 * p1x;
const bx = 3 * (p2x - p1x) - cx;
const ax = 1 - cx - bx;
const cy = 3 * p1y;
const by = 3 * (p2y - p1y) - cy;
const ay = 1 - cy - by;
return function solve(x, epsilon = 1e-6) {
if (x <= 0) return 0;
if (x >= 1) return 1;
let t = x;
for (let i = 0; i < 8; i++) {
const x2 = ((ax * t + bx) * t + cx) * t - x;
if (Math.abs(x2) < epsilon) return ((ay * t + by) * t + cy) * t;
const d2 = (3 * ax * t + 2 * bx) * t + cx;
if (Math.abs(d2) < 1e-6) break;
t -= x2 / d2;
}
let t0 = 0;
let t1 = 1;
t = x;
for (let i = 0; i < 20; i++) {
const x2 = ((ax * t + bx) * t + cx) * t;
if (Math.abs(x2 - x) < epsilon) break;
if (x > x2) t0 = t;
else t1 = t;
t = (t0 + t1) * .5;
}
return ((ay * t + by) * t + cy) * t;
};
}
//#endregion
//#region src/util/offscreen_canvas_supported.ts
let supportsOffscreenCanvas;
function offscreenCanvasSupported() {
supportsOffscreenCanvas ??= typeof OffscreenCanvas !== "undefined" && new OffscreenCanvas(1, 1).getContext("2d") && typeof createImageBitmap === "function";
return supportsOffscreenCanvas;
}
//#endregion
//#region src/util/offscreen_canvas_distorted.ts
let offscreenCanvasDistorted;
/**
* Some browsers don't return the exact pixels from a canvas to prevent user fingerprinting (see #3185).
* This function writes pixels to an OffscreenCanvas and reads them back using getImageData, returning false
* if they don't match.
*
* @returns true if the browser supports OffscreenCanvas but it distorts getImageData results, false otherwise.
*/
function isOffscreenCanvasDistorted() {
if (offscreenCanvasDistorted == null) {
offscreenCanvasDistorted = false;
if (offscreenCanvasSupported()) {
const size = 5;
const context = new OffscreenCanvas(size, size).getContext("2d", { willReadFrequently: true });
if (context) {
for (let i = 0; i < 25; i++) {
const base = i * 4;
context.fillStyle = `rgb(${base},${base + 1},${base + 2})`;
context.fillRect(i % size, Math.floor(i / size), 1, 1);
}
const data = context.getImageData(0, 0, size, size).data;
for (let i = 0; i < 100; i++) if (i % 4 !== 3 && data[i] !== i) {
offscreenCanvasDistorted = true;
break;
}
}
}
}
return offscreenCanvasDistorted || false;
}
var ARRAY_TYPE = typeof Float32Array !== "undefined" ? Float32Array : Array;
Math.PI / 180;
180 / Math.PI;
/**
* 2x2 Matrix
* @module mat2
*/
/**
* Creates a new identity mat2
*
* @returns {mat2} a new 2x2 matrix
*/
function create$8() {
var out = new ARRAY_TYPE(4);
if (ARRAY_TYPE != Float32Array) {
out[1] = 0;
out[2] = 0;
}
out[0] = 1;
out[3] = 1;
return out;
}
/**
* Inverts a mat2
*
* @param {mat2} out the receiving matrix
* @param {ReadonlyMat2} a the source matrix
* @returns {mat2 | null} out, or null if source matrix is not invertible
*/
function invert$5(out, a) {
var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
var det = a0 * a3 - a2 * a1;
if (!det) return null;
det = 1 / det;
out[0] = a3 * det;
out[1] = -a1 * det;
out[2] = -a2 * det;
out[3] = a0 * det;
return out;
}
/**
* Calculates the determinant of a mat2
*
* @param {ReadonlyMat2} a the source matrix
* @returns {Number} determinant of a
*/
function determinant$3(a) {
return a[0] * a[3] - a[2] * a[1];
}
/**
* Rotates a mat2 by the given angle
*
* @param {mat2} out the receiving matrix
* @param {ReadonlyMat2} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat2} out
*/
function rotate$4(out, a, rad) {
var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
var s = Math.sin(rad);
var c = Math.cos(rad);
out[0] = a0 * c + a2 * s;
out[1] = a1 * c + a3 * s;
out[2] = a0 * -s + a2 * c;
out[3] = a1 * -s + a3 * c;
return out;
}
/**
* 3x3 Matrix
* @module mat3
*/
/**
* Creates a new identity mat3
*
* @returns {mat3} a new 3x3 matrix
*/
function create$6() {
var out = new ARRAY_TYPE(9);
if (ARRAY_TYPE != Float32Array) {
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[5] = 0;
out[6] = 0;
out[7] = 0;
}
out[0] = 1;
out[4] = 1;
out[8] = 1;
return out;
}
/**
* Calculates the determinant of a mat3
*
* @param {ReadonlyMat3} a the source matrix
* @returns {Number} determinant of a
*/
function determinant$1(a) {
var a00 = a[0], a01 = a[1], a02 = a[2];
var a10 = a[3], a11 = a[4], a12 = a[5];
var a20 = a[6], a21 = a[7], a22 = a[8];
return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
}
/**
* Creates a matrix from a given angle
* This is equivalent to (but much faster than):
*
* mat3.identity(dest);
* mat3.rotate(dest, dest, rad);
*
* @param {mat3} out mat3 receiving operation result
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat3} out
*/
function fromRotation$2(out, rad) {
var s = Math.sin(rad), c = Math.cos(rad);
out[0] = c;
out[1] = s;
out[2] = 0;
out[3] = -s;
out[4] = c;
out[5] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 1;
return out;
}
/**
* Calculates a 3x3 matrix from the given quaternion
*
* @param {mat3} out mat3 receiving operation result
* @param {ReadonlyQuat} q Quaternion to create matrix from
*
* @returns {mat3} out
*/
function fromQuat$1(out, q) {
var x = q[0], y = q[1], z = q[2], w = q[3];
var x2 = x + x;
var y2 = y + y;
var z2 = z + z;
var xx = x * x2;
var yx = y * x2;
var yy = y * y2;
var zx = z * x2;
var zy = z * y2;
var zz = z * z2;
var wx = w * x2;
var wy = w * y2;
var wz = w * z2;
out[0] = 1 - yy - zz;
out[3] = yx - wz;
out[6] = zx + wy;
out[1] = yx + wz;
out[4] = 1 - xx - zz;
out[7] = zy - wx;
out[2] = zx - wy;
out[5] = zy + wx;
out[8] = 1 - xx - yy;
return out;
}
/**
* 4x4 Matrix<br>Format: column-major, when typed out it looks like row-major<br>The matrices are being post multiplied.
* @module mat4
*/
/**
* Creates a new identity mat4
*
* @returns {mat4} a new 4x4 matrix
*/
function create$5() {
var out = new ARRAY_TYPE(16);
if (ARRAY_TYPE != Float32Array) {
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
}
out[0] = 1;
out[5] = 1;
out[10] = 1;
out[15] = 1;
return out;
}
/**
* Creates a new mat4 initialized with values from an existing matrix
*
* @param {ReadonlyMat4} a matrix to clone
* @returns {mat4} a new 4x4 matrix
*/
function clone$6(a) {
var out = new ARRAY_TYPE(16);
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
out[9] = a[9];
out[10] = a[10];
out[11] = a[11];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
return out;
}
/**
* Copy the values from one mat4 to another
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the source matrix
* @returns {mat4} out
*/
function copy$5(out, a) {
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
out[9] = a[9];
out[10] = a[10];
out[11] = a[11];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
return out;
}
/**
* Set a mat4 to the identity matrix
*
* @param {mat4} out the receiving matrix
* @returns {mat4} out
*/
function identity$2(out) {
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] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
/**
* Inverts a mat4
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the source matrix
* @returns {mat4 | null} out, or null if source matrix is not invertible
*/
function invert$2(out, a) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
var a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
var a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
var a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
var b00 = a00 * a11 - a01 * a10;
var b01 = a00 * a12 - a02 * a10;
var b02 = a00 * a13 - a03 * a10;
var b03 = a01 * a12 - a02 * a11;
var b04 = a01 * a13 - a03 * a11;
var b05 = a02 * a13 - a03 * a12;
var b06 = a20 * a31 - a21 * a30;
var b07 = a20 * a32 - a22 * a30;
var b08 = a20 * a33 - a23 * a30;
var b09 = a21 * a32 - a22 * a31;
var b10 = a21 * a33 - a23 * a31;
var b11 = a22 * a33 - a23 * a32;
var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
if (!det) return null;
det = 1 / 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;
}
/**
* Multiplies two mat4s
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the first operand
* @param {ReadonlyMat4} b the second operand
* @returns {mat4} out
*/
function multiply$5(out, a, b) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
var a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
var a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
var a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
var 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;
}
/**
* Translate a mat4 by the given vector
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the matrix to translate
* @param {ReadonlyVec3} v vector to translate by
* @returns {mat4} out
*/
function translate$2(out, a, v) {
var x = v[0], y = v[1], z = v[2];
var a00, a01, a02, a03;
var a10, a11, a12, a13;
var a20, a21, a22, a23;
if (a === out) {
out[12] = a[0] * x + a[4] * y + a[8] * z + a[12];
out[13] = a[1] * x + a[5] * y + a[9] * z + a[13];
out[14] = a[2] * x + a[6] * y + a[10] * z + a[14];
out[15] = a[3] * x + a[7] * y + a[11] * z + a[15];
} else {
a00 = a[0];
a01 = a[1];
a02 = a[2];
a03 = a[3];
a10 = a[4];
a11 = a[5];
a12 = a[6];
a13 = a[7];
a20 = a[8];
a21 = a[9];
a22 = a[10];
a23 = a[11];
out[0] = a00;
out[1] = a01;
out[2] = a02;
out[3] = a03;
out[4] = a10;
out[5] = a11;
out[6] = a12;
out[7] = a13;
out[8] = a20;
out[9] = a21;
out[10] = a22;
out[11] = a23;
out[12] = a00 * x + a10 * y + a20 * z + a[12];
out[13] = a01 * x + a11 * y + a21 * z + a[13];
out[14] = a02 * x + a12 * y + a22 * z + a[14];
out[15] = a03 * x + a13 * y + a23 * z + a[15];
}
return out;
}
/**
* Scales the mat4 by the dimensions in the given vec3 not using vectorization
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the matrix to scale
* @param {ReadonlyVec3} v the vec3 to scale the matrix by
* @returns {mat4} out
**/
function scale$5(out, a, v) {
var x = v[0], y = v[1], z = v[2];
out[0] = a[0] * x;
out[1] = a[1] * x;
out[2] = a[2] * x;
out[3] = a[3] * x;
out[4] = a[4] * y;
out[5] = a[5] * y;
out[6] = a[6] * y;
out[7] = a[7] * y;
out[8] = a[8] * z;
out[9] = a[9] * z;
out[10] = a[10] * z;
out[11] = a[11] * z;
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
return out;
}
/**
* Rotates a matrix by the given angle around the X axis
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateX$3(out, a, rad) {
var s = Math.sin(rad);
var c = Math.cos(rad);
var a10 = a[4];
var a11 = a[5];
var a12 = a[6];
var a13 = a[7];
var a20 = a[8];
var a21 = a[9];
var a22 = a[10];
var a23 = a[11];
if (a !== out) {
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
out[4] = a10 * c + a20 * s;
out[5] = a11 * c + a21 * s;
out[6] = a12 * c + a22 * s;
out[7] = a13 * c + a23 * s;
out[8] = a20 * c - a10 * s;
out[9] = a21 * c - a11 * s;
out[10] = a22 * c - a12 * s;
out[11] = a23 * c - a13 * s;
return out;
}
/**
* Rotates a matrix by the given angle around the Y axis
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateY$3(out, a, rad) {
var s = Math.sin(rad);
var c = Math.cos(rad);
var a00 = a[0];
var a01 = a[1];
var a02 = a[2];
var a03 = a[3];
var a20 = a[8];
var a21 = a[9];
var a22 = a[10];
var a23 = a[11];
if (a !== out) {
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
out[0] = a00 * c - a20 * s;
out[1] = a01 * c - a21 * s;
out[2] = a02 * c - a22 * s;
out[3] = a03 * c - a23 * s;
out[8] = a00 * s + a20 * c;
out[9] = a01 * s + a21 * c;
out[10] = a02 * s + a22 * c;
out[11] = a03 * s + a23 * c;
return out;
}
/**
* Rotates a matrix by the given angle around the Z axis
*
* @param {mat4} out the receiving matrix
* @param {ReadonlyMat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateZ$3(out, a, rad) {
var s = Math.sin(rad);
var c = Math.cos(rad);
var a00 = a[0];
var a01 = a[1];
var a02 = a[2];
var a03 = a[3];
var a10 = a[4];
var a11 = a[5];
var a12 = a[6];
var a13 = a[7];
if (a !== out) {
out[8] = a[8];
out[9] = a[9];
out[10] = a[10];
out[11] = a[11];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
out[0] = a00 * c + a10 * s;
out[1] = a01 * c + a11 * s;
out[2] = a02 * c + a12 * s;
out[3] = a03 * c + a13 * s;
out[4] = a10 * c - a00 * s;
out[5] = a11 * c - a01 * s;
out[6] = a12 * c - a02 * s;
out[7] = a13 * c - a03 * s;
return out;
}
/**
* Creates a matrix from a vector scaling
* This is equivalent to (but much faster than):
*
* mat4.identity(dest);
* mat4.scale(dest, dest, vec);
*
* @param {mat4} out mat4 receiving operation result
* @param {ReadonlyVec3} v Scaling vector
* @returns {mat4} out
*/
function fromScaling(out, v) {
out[0] = v[0];
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = v[1];
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = v[2];
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
}
/**
* Generates a perspective projection matrix with the given bounds.
* The near/far clip planes correspond to a normalized device coordinate Z range of [-1, 1],
* which matches WebGL/OpenGL's clip volume.
* Passing null/undefined/no value for far will generate infinite projection matrix.
*
* @param {mat4} out mat4 frustum matrix will be written into
* @param {number} fovy Vertical field of view in radians
* @param {number} aspect Aspect ratio. typically viewport width/height
* @param {number} near Near bound of the frustum
* @param {number} far Far bound of the frustum, can be null or Infinity
* @returns {mat4} out
*/
function perspectiveNO(out, fovy, aspect, near, far) {
var f = 1 / Math.tan(fovy / 2);
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) {
var 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;
}
/**
* Alias for {@link mat4.perspectiveNO}
* @function
*/
var perspective = perspectiveNO;
/**
* Generates a orthogonal projection matrix with the given bounds.
* The near/far clip planes correspond to a normalized device coordinate Z range of [-1, 1],
* which matches WebGL/OpenGL's clip volume.
*
* @param {mat4} out mat4 frustum matrix will be written into
* @param {number} left Left bound of the frustum
* @param {number} right Right bound of the frustum
* @param {number} bottom Bottom bound of the frustum
* @param {number} top Top bound of the frustum
* @param {number} near Near bound of the frustum
* @param {number} far Far bound of the frustum
* @returns {mat4} out
*/
function orthoNO(out, left, right, bottom, top, near, far) {
var lr = 1 / (left - right);
var bt = 1 / (bottom - top);
var 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;
}
/**
* Alias for {@link mat4.orthoNO}
* @function
*/
var ortho = orthoNO;
/**
* Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
*
* @param {ReadonlyMat4} a The first matrix.
* @param {ReadonlyMat4} b The second matrix.
* @returns {Boolean} True if the matrices are equal, false otherwise.
*/
function exactEquals$5(a, b) {
return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5] && a[6] === b[6] && a[7] === b[7] && a[8] === b[8] && a[9] === b[9] && a[10] === b[10] && a[11] === b[11] && a[12] === b[12] && a[13] === b[13] && a[14] === b[14] && a[15] === b[15];
}
/**
* Returns whether or not the matrices have approximately the same elements in the same position.
*
* @param {ReadonlyMat4} a The first matrix.
* @param {ReadonlyMat4} b The second matrix.
* @returns {Boolean} True if the matrices are equal, false otherwise.
*/
function equals$6(a, b) {
var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
var a4 = a[4], a5 = a[5], a6 = a[6], a7 = a[7];
var a8 = a[8], a9 = a[9], a10 = a[10], a11 = a[11];
var a12 = a[12], a13 = a[13], a14 = a[14], a15 = a[15];
var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
var b4 = b[4], b5 = b[5], b6 = b[6], b7 = b[7];
var b8 = b[8], b9 = b[9], b10 = b[10], b11 = b[11];
var b12 = b[12], b13 = b[13], b14 = b[14], b15 = b[15];
return Math.abs(a0 - b0) <= 1e-6 * Math.max(1, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= 1e-6 * Math.max(1, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= 1e-6 * Math.max(1, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= 1e-6 * Math.max(1, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= 1e-6 * Math.max(1, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= 1e-6 * Math.max(1, Math.abs(a5), Math.abs(b5)) && Math.abs(a6 - b6) <= 1e-6 * Math.max(1, Math.abs(a6), Math.abs(b6)) && Math.abs(a7 - b7) <= 1e-6 * Math.max(1, Math.abs(a7), Math.abs(b7)) && Math.abs(a8 - b8) <= 1e-6 * Math.max(1, Math.abs(a8), Math.abs(b8)) && Math.abs(a9 - b9) <= 1e-6 * Math.max(1, Math.abs(a9), Math.abs(b9)) && Math.abs(a10 - b10) <= 1e-6 * Math.max(1, Math.abs(a10), Math.abs(b10)) && Math.abs(a11 - b11) <= 1e-6 * Math.max(1, Math.abs(a11), Math.abs(b11)) && Math.abs(a12 - b12) <= 1e-6 * Math.max(1, Math.abs(a12), Math.abs(b12)) && Math.abs(a13 - b13) <= 1e-6 * Math.max(1, Math.abs(a13), Math.abs(b13)) && Math.abs(a14 - b14) <= 1e-6 * Math.max(1, Math.abs(a14), Math.abs(b14)) && Math.abs(a15 - b15) <= 1e-6 * Math.max(1, Math.abs(a15), Math.abs(b15));
}
/**
* 3 Dimensional Vector
* @module vec3
*/
/**
* Creates a new, empty vec3
*
* @returns {vec3} a new 3D vector
*/
function create$4() {
var out = new ARRAY_TYPE(3);
if (ARRAY_TYPE != Float32Array) {
out[0] = 0;
out[1] = 0;
out[2] = 0;
}
return out;
}
/**
* Creates a new vec3 initialized with values from an existing vector
*
* @param {ReadonlyVec3} a vector to clone
* @returns {vec3} a new 3D vector
*/
function clone$5(a) {
var out = new ARRAY_TYPE(3);
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
return out;
}
/**
* Calculates the length of a vec3
*
* @param {ReadonlyVec3} a vector to calculate length of
* @returns {Number} length of a
*/
function length$4(a) {
var x = a[0];
var y = a[1];
var z = a[2];
return Math.sqrt(x * x + y * y + z * z);
}
/**
* Creates a new vec3 initialized with the given values
*
* @param {Number} x X component
* @param {Number} y Y component
* @param {Number} z Z component
* @returns {vec3} a new 3D vector
*/
function fromValues$4(x, y, z) {
var out = new ARRAY_TYPE(3);
out[0] = x;
out[1] = y;
out[2] = z;
return out;
}
/**
* Adds two vec3's
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @returns {vec3} out
*/
function add$4(out, a, b) {
out[0] = a[0] + b[0];
out[1] = a[1] + b[1];
out[2] = a[2] + b[2];
return out;
}
/**
* Subtracts vector b from vector a
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @returns {vec3} out
*/
function subtract$2(out, a, b) {
out[0] = a[0] - b[0];
out[1] = a[1] - b[1];
out[2] = a[2] - b[2];
return out;
}
/**
* Scales a vec3 by a scalar number
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the vector to scale
* @param {Number} b amount to scale the vector by
* @returns {vec3} out
*/
function scale$4(out, a, b) {
out[0] = a[0] * b;
out[1] = a[1] * b;
out[2] = a[2] * b;
return out;
}
/**
* Adds two vec3's after scaling the second operand by a scalar value
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @param {Number} scale the amount to scale b by before adding
* @returns {vec3} out
*/
function scaleAndAdd$2(out, a, b, scale) {
out[0] = a[0] + b[0] * scale;
out[1] = a[1] + b[1] * scale;
out[2] = a[2] + b[2] * scale;
return out;
}
/**
* Negates the components of a vec3
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a vector to negate
* @returns {vec3} out
*/
function negate$2(out, a) {
out[0] = -a[0];
out[1] = -a[1];
out[2] = -a[2];
return out;
}
/**
* Normalize a vec3
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a vector to normalize
* @returns {vec3} out
*/
function normalize$4(out, a) {
var x = a[0];
var y = a[1];
var z = a[2];
var len = x * x + y * y + z * z;
if (len > 0) len = 1 / Math.sqrt(len);
out[0] = a[0] * len;
out[1] = a[1] * len;
out[2] = a[2] * len;
return out;
}
/**
* Calculates the dot product of two vec3's
*
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @returns {Number} dot product of a and b
*/
function dot$5(a, b) {
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
}
/**
* Computes the cross product of two vec3's
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @returns {vec3} out
*/
function cross$2(out, a, b) {
var ax = a[0], ay = a[1], az = a[2];
var bx = b[0], by = b[1], bz = b[2];
out[0] = ay * bz - az * by;
out[1] = az * bx - ax * bz;
out[2] = ax * by - ay * bx;
return out;
}
/**
* Transforms the vec3 with a mat4.
* 4th vector component is implicitly '1'
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the vector to transform
* @param {ReadonlyMat4} m matrix to transform with
* @returns {vec3} out
*/
function transformMat4$2(out, a, m) {
var x = a[0], y = a[1], z = a[2];
var w = m[3] * x + m[7] * y + m[11] * z + m[15];
w = w || 1;
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;
return out;
}
/**
* Transforms the vec3 with a mat3.
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the vector to transform
* @param {ReadonlyMat3} m the 3x3 matrix to transform with
* @returns {vec3} out
*/
function transformMat3$1(out, a, m) {
var x = a[0], y = a[1], z = a[2];
out[0] = x * m[0] + y * m[3] + z * m[6];
out[1] = x * m[1] + y * m[4] + z * m[7];
out[2] = x * m[2] + y * m[5] + z * m[8];
return out;
}
/**
* Transforms the vec3 with a quat
* Can also be used for dual quaternions. (Multiply it with the real part)
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the vector to transform
* @param {ReadonlyQuat} q normalized quaternion to transform with
* @returns {vec3} out
*/
function transformQuat$1(out, a, q) {
var qx = q[0], qy = q[1], qz = q[2], qw = q[3];
var vx = a[0], vy = a[1], vz = a[2];
var tx = qy * vz - qz * vy;
var ty = qz * vx - qx * vz;
var tz = qx * vy - qy * vx;
tx = tx + tx;
ty = ty + ty;
tz = tz + tz;
out[0] = vx + qw * tx + qy * tz - qz * ty;
out[1] = vy + qw * ty + qz * tx - qx * tz;
out[2] = vz + qw * tz + qx * ty - qy * tx;
return out;
}
/**
* Rotate a 3D vector around the x-axis
* @param {vec3} out The receiving vec3
* @param {ReadonlyVec3} a The vec3 point to rotate
* @param {ReadonlyVec3} b The origin of the rotation
* @param {Number} rad The angle of rotation in radians
* @returns {vec3} out
*/
function rotateX$2(out, a, b, rad) {
var p = [], r = [];
p[0] = a[0] - b[0];
p[1] = a[1] - b[1];
p[2] = a[2] - b[2];
r[0] = p[0];
r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);
r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);
out[0] = r[0] + b[0];
out[1] = r[1] + b[1];
out[2] = r[2] + b[2];
return out;
}
/**
* Rotate a 3D vector around the y-axis
* @param {vec3} out The receiving vec3
* @param {ReadonlyVec3} a The vec3 point to rotate
* @param {ReadonlyVec3} b The origin of the rotation
* @param {Number} rad The angle of rotation in radians
* @returns {vec3} out
*/
function rotateY$2(out, a, b, rad) {
var p = [], r = [];
p[0] = a[0] - b[0];
p[1] = a[1] - b[1];
p[2] = a[2] - b[2];
r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);
r[1] = p[1];
r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);
out[0] = r[0] + b[0];
out[1] = r[1] + b[1];
out[2] = r[2] + b[2];
return out;
}
/**
* Rotate a 3D vector around the z-axis
* @param {vec3} out The receiving vec3
* @param {ReadonlyVec3} a The vec3 point to rotate
* @param {ReadonlyVec3} b The origin of the rotation
* @param {Number} rad The angle of rotation in radians
* @returns {vec3} out
*/
function rotateZ$2(out, a, b, rad) {
var p = [], r = [];
p[0] = a[0] - b[0];
p[1] = a[1] - b[1];
p[2] = a[2] - b[2];
r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);
r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);
r[2] = p[2];
out[0] = r[0] + b[0];
out[1] = r[1] + b[1];
out[2] = r[2] + b[2];
return out;
}
/**
* Set the components of a vec3 to zero
*
* @param {vec3} out the receiving vector
* @returns {vec3} out
*/
function zero$2(out) {
out[0] = 0;
out[1] = 0;
out[2] = 0;
return out;
}
/**
* Alias for {@link vec3.subtract}
* @function
*/
var sub$2 = subtract$2;
/**
* Alias for {@link vec3.length}
* @function
*/
var len$4 = length$4;
(function() {
var vec = create$4();
return function(a, stride, offset, count, fn, arg) {
var i, l;
if (!stride) stride = 3;
if (!offset) offset = 0;
if (count) l = Math.min(count * stride + offset, a.length);
else l = a.length;
for (i = offset; i < l; i += stride) {
vec[0] = a[i];
vec[1] = a[i + 1];
vec[2] = a[i + 2];
fn(vec, vec, arg);
a[i] = vec[0];
a[i + 1] = vec[1];
a[i + 2] = vec[2];
}
return a;
};
})();
/**
* 4 Dimensional Vector
* @module vec4
*/
/**
* Creates a new, empty vec4
*
* @returns {vec4} a new 4D vector
*/
function create$3() {
var out = new ARRAY_TYPE(4);
if (ARRAY_TYPE != Float32Array) {
out[0] = 0;
out[1] = 0;
out[2] = 0;
out[3] = 0;
}
return out;
}
/**
* Multiplies two vec4's
*
* @param {vec4} out the receiving vector
* @param {ReadonlyVec4} a the first operand
* @param {ReadonlyVec4} b the second operand
* @returns {vec4} out
*/
function multiply$3(out, a, b) {
out[0] = a[0] * b[0];
out[1] = a[1] * b[1];
out[2] = a[2] * b[2];
out[3] = a[3] * b[3];
return out;
}
/**
* Scales a vec4 by a scalar number
*
* @param {vec4} out the receiving vector
* @param {ReadonlyVec4} a the vector to scale
* @param {Number} b amount to scale the vector by
* @returns {vec4} out
*/
function scale$3(out, a, b) {
out[0] = a[0] * b;
out[1] = a[1] * b;
out[2] = a[2] * b;
out[3] = a[3] * b;
return out;
}
/**
* Normalize a vec4
*
* @param {vec4} out the receiving vector
* @param {ReadonlyVec4} a vector to normalize
* @returns {vec4} out
*/
function normalize$3(out, a) {
var x = a[0];
var y = a[1];
var z = a[2];
var w = a[3];
var len = x * x + y * y + z * z + w * w;
if (len > 0) len = 1 / Math.sqrt(len);
out[0] = x * len;
out[1] = y * len;
out[2] = z * len;
out[3] = w * len;
return out;
}
/**
* Transforms the vec4 with a mat4.
*
* @param {vec4} out the receiving vector
* @param {ReadonlyVec4} a the vector to transform
* @param {ReadonlyMat4} m matrix to transform with
* @returns {vec4} out
*/
function transformMat4$1(out, a, m) {
var 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;
}
/**
* Alias for {@link vec4.multiply}
* @function
*/
var mul$3 = multiply$3;
(function() {
var vec = create$3();
return function(a, stride, offset, count, fn, arg) {
var i, l;
if (!stride) stride = 4;
if (!offset) offset = 0;
if (count) l = Math.min(count * stride + offset, a.length);
else l = a.length;
for (i = offset; i < l; i += stride) {
vec[0] = a[i];
vec[1] = a[i + 1];
vec[2] = a[i + 2];
vec[3] = a[i + 3];
fn(vec, vec, arg);
a[i] = vec[0];
a[i + 1] = vec[1];
a[i + 2] = vec[2];
a[i + 3] = vec[3];
}
return a;
};
})();
/**
* Quaternion in the format XYZW
* @module quat
*/
/**
* Creates a new identity quat
*
* @returns {quat} a new quaternion
*/
function create$2() {
var out = new ARRAY_TYPE(4);
if (ARRAY_TYPE != Float32Array) {
out[0] = 0;
out[1] = 0;
out[2] = 0;
}
out[3] = 1;
return out;
}
/**
* Sets a quat from the given angle and rotation axis,
* then returns it.
*
* @param {quat} out the receiving quaternion
* @param {ReadonlyVec3} axis the axis around which to rotate
* @param {Number} rad the angle in radians
* @returns {quat} out
**/
function setAxisAngle(out, axis, rad) {
rad = rad * .5;
var s = Math.sin(rad);
out[0] = s * axis[0];
out[1] = s * axis[1];
out[2] = s * axis[2];
out[3] = Math.cos(rad);
return out;
}
/**
* Performs a spherical linear interpolation between two quat
*
* @param {quat} out the receiving quaternion
* @param {ReadonlyQuat} a the first operand
* @param {ReadonlyQuat} b the second operand
* @param {Number} t interpolation amount, in the range [0-1], between the two inputs
* @returns {quat} out
*/
function slerp(out, a, b, t) {
var ax = a[0], ay = a[1], az = a[2], aw = a[3];
var bx = b[0], by = b[1], bz = b[2], bw = b[3];
var omega, cosom = ax * bx + ay * by + az * bz + aw * bw, sinom, scale0, scale1;
if (cosom < 0) {
cosom = -cosom;
bx = -bx;
by = -by;
bz = -bz;
bw = -bw;
}
if (1 - cosom > 1e-6) {
omega = Math.acos(cosom);
sinom = Math.sin(omega);
scale0 = Math.sin((1 - t) * omega) / sinom;
scale1 = Math.sin(t * omega) / sinom;
} else {
scale0 = 1 - t;
scale1 = t;
}
out[0] = scale0 * ax + scale1 * bx;
out[1] = scale0 * ay + scale1 * by;
out[2] = scale0 * az + scale1 * bz;
out[3] = scale0 * aw + scale1 * bw;
return out;
}
/**
* Creates a quaternion from the given 3x3 rotation matrix.
*
* NOTE: The resultant quaternion is not normalized, so you should be sure
* to renormalize the quaternion yourself where necessary.
*
* @param {quat} out the receiving quaternion
* @param {ReadonlyMat3} m rotation matrix
* @returns {quat} out
* @function
*/
function fromMat3(out, m) {
var fTrace = m[0] + m[4] + m[8];
var fRoot;
if (fTrace > 0) {
fRoot = Math.sqrt(fTrace + 1);
out[3] = .5 * fRoot;
fRoot = .5 / fRoot;
out[0] = (m[5] - m[7]) * fRoot;
out[1] = (m[6] - m[2]) * fRoot;
out[2] = (m[1] - m[3]) * fRoot;
} else {
var i = 0;
if (m[4] > m[0]) i = 1;
if (m[8] > m[i * 3 + i]) i = 2;
var j = (i + 1) % 3;
var k = (i + 2) % 3;
fRoot = Math.sqrt(m[i * 3 + i] - m[j * 3 + j] - m[k * 3 + k] + 1);
out[i] = .5 * fRoot;
fRoot = .5 / fRoot;
out[3] = (m[j * 3 + k] - m[k * 3 + j]) * fRoot;
out[j] = (m[j * 3 + i] + m[i * 3 + j]) * fRoot;
out[k] = (m[k * 3 + i] + m[i * 3 + k]) * fRoot;
}
return out;
}
/**
* Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.
*
* @param {quat} out the receiving quaternion
* @param {Number} x Angle to rotate around X axis in degrees.
* @param {Number} y Angle to rotate around Y axis in degrees.
* @param {Number} z Angle to rotate around Z axis in degrees.
* @param {'xyz'|'xzy'|'yxz'|'yzx'|'zxy'|'zyx'} order Intrinsic order for conversion, default is zyx.
* @returns {quat} out
* @function
*/
function fromEuler(out, x, y, z) {
var order = arguments.length > 4 && arguments[4] !== void 0 ? arguments[4] : "zyx";
var halfToRad = Math.PI / 360;
x *= halfToRad;
z *= halfToRad;
y *= halfToRad;
var sx = Math.sin(x);
var cx = Math.cos(x);
var sy = Math.sin(y);
var cy = Math.cos(y);
var sz = Math.sin(z);
var cz = Math.cos(z);
switch (order) {
case "xyz":
out[0] = sx * cy * cz + cx * sy * sz;
out[1] = cx * sy * cz - sx * cy * sz;
out[2] = cx * cy * sz + sx * sy * cz;
out[3] = cx * cy * cz - sx * sy * sz;
break;
case "xzy":
out[0] = sx * cy * cz - cx * sy * sz;
out[1] = cx * sy * cz - sx * cy * sz;
out[2] = cx * cy * sz + sx * sy * cz;
out[3] = cx * cy * cz + sx * sy * sz;
break;
case "yxz":
out[0] = sx * cy * cz + cx * sy * sz;
out[1] = cx * sy * cz - sx * cy * sz;
out[2] = cx * cy * sz - sx * sy * cz;
out[3] = cx * cy * cz + sx * sy * sz;
break;
case "yzx":
out[0] = sx * cy * cz + cx * sy * sz;
out[1] = cx * sy * cz + sx * cy * sz;
out[2] = cx * cy * sz - sx * sy * cz;
out[3] = cx * cy * cz - sx * sy * sz;
break;
case "zxy":
out[0] = sx * cy * cz - cx * sy * sz;
out[1] = cx * sy * cz + sx * cy * sz;
out[2] = cx * cy * sz + sx * sy * cz;
out[3] = cx * cy * cz - sx * sy * sz;
break;
case "zyx":
out[0] = sx * cy * cz - cx * sy * sz;
out[1] = cx * sy * cz + sx * cy * sz;
out[2] = cx * cy * sz - sx * sy * cz;
out[3] = cx * cy * cz + sx * sy * sz;
break;
default: throw new Error("Unknown angle order " + order);
}
return out;
}
/**
* Normalize a quat
*
* @param {quat} out the receiving quaternion
* @param {ReadonlyQuat} a quaternion to normalize
* @returns {quat} out
* @function
*/
var normalize$2 = normalize$3;
(function() {
var tmpvec3 = create$4();
var xUnitVec3 = fromValues$4(1, 0, 0);
var yUnitVec3 = fromValues$4(0, 1, 0);
return function(out, a, b) {
var dot = dot$5(a, b);
if (dot < -.999999) {
cross$2(tmpvec3, xUnitVec3, a);
if (len$4(tmpvec3) < 1e-6) cross$2(tmpvec3, yUnitVec3, a);
normalize$4(tmpvec3, tmpvec3);
setAxisAngle(out, tmpvec3, Math.PI);
return out;
} else if (dot > .999999) {
out[0] = 0;
out[1] = 0;
out[2] = 0;
out[3] = 1;
return out;
} else {
cross$2(tmpvec3, a, b);
out[0] = tmpvec3[0];
out[1] = tmpvec3[1];
out[2] = tmpvec3[2];
out[3] = 1 + dot;
return normalize$2(out, out);
}
};
})();
(function() {
var temp1 = create$2();
var temp2 = create$2();
return function(out, a, b, c, d, t) {
slerp(temp1, a, d, t);
slerp(temp2, b, c, t);
slerp(out, temp1, temp2, 2 * t * (1 - t));
return out;
};
})();
(function() {
var matr = create$6();
return function(out, view, right, up) {
matr[0] = right[0];
matr[3] = right[1];
matr[6] = right[2];
matr[1] = up[0];
matr[4] = up[1];
matr[7] = up[2];
matr[2] = -view[0];
matr[5] = -view[1];
matr[8] = -view[2];
return normalize$2(out, fromMat3(out, matr));
};
})();
/**
* 2 Dimensional Vector
* @module vec2
*/
/**
* Creates a new, empty vec2
*
* @returns {vec2} a new 2D vector
*/
function create() {
var out = new ARRAY_TYPE(2);
if (ARRAY_TYPE != Float32Array) {
out[0] = 0;
out[1] = 0;
}
return out;
}
/**
* Creates a new vec2 initialized with values from an existing vector
*
* @param {ReadonlyVec2} a vector to clone
* @returns {vec2} a new 2D vector
*/
function clone$1(a) {
var out = new ARRAY_TYPE(2);
out[0] = a[0];
out[1] = a[1];
return out;
}
/**
* Creates a new vec2 initialized with the given values
*
* @param {Number} x X component
* @param {Number} y Y component
* @returns {vec2} a new 2D vector
*/
function fromValues(x, y) {
var out = new ARRAY_TYPE(2);
out[0] = x;
out[1] = y;
return out;
}
/**
* Adds two vec2's
*
* @param {vec2} out the receiving vector
* @param {ReadonlyVec2} a the first operand
* @param {ReadonlyVec2} b the second operand
* @returns {vec2} out
*/
function add(out, a, b) {
out[0] = a[0] + b[0];
out[1] = a[1] + b[1];
return out;
}
/**
* Subtracts vector b from vector a
*
* @param {vec2} out the receiving vector
* @param {ReadonlyVec2} a the first operand
* @param {ReadonlyVec2} b the second operand
* @returns {vec2} out
*/
function subtract(out, a, b) {
out[0] = a[0] - b[0];
out[1] = a[1] - b[1];
return out;
}
/**
* Scales a vec2 by a scalar number
*
* @param {vec2} out the receiving vector
* @param {ReadonlyVec2} a the vector to scale
* @param {Number} b amount to scale the vector by
* @returns {vec2} out
*/
function scale(out, a, b) {
out[0] = a[0] * b;
out[1] = a[1] * b;
return out;
}
/**
* Adds two vec2's after scaling the second operand by a scalar value
*
* @param {vec2} out the receiving vector
* @param {ReadonlyVec2} a the first operand
* @param {ReadonlyVec2} b the second operand
* @param {Number} scale the amount to scale b by before adding
* @returns {vec2} out
*/
function scaleAndAdd(out, a, b, scale) {
out[0] = a[0] + b[0] * scale;
out[1] = a[1] + b[1] * scale;
return out;
}
/**
* Calculates the length of a vec2
*
* @param {ReadonlyVec2} a vector to calculate length of
* @returns {Number} length of a
*/
function length(a) {
var x = a[0], y = a[1];
return Math.sqrt(x * x + y * y);
}
/**
* Calculates the squared length of a vec2
*
* @param {ReadonlyVec2} a vector to calculate squared length of
* @returns {Number} squared length of a
*/
function squaredLength(a) {
var x = a[0], y = a[1];
return x * x + y * y;
}
/**
* Normalize a vec2
*
* @param {vec2} out the receiving vector
* @param {ReadonlyVec2} a vector to normalize
* @returns {vec2} out
*/
function normalize(out, a) {
var x = a[0], y = a[1];
var len = x * x + y * y;
if (len > 0) len = 1 / Math.sqrt(len);
out[0] = a[0] * len;
out[1] = a[1] * len;
return out;
}
/**
* Calculates the dot product of two vec2's
*
* @param {ReadonlyVec2} a the first operand
* @param {ReadonlyVec2} b the second operand
* @returns {Number} dot product of a and b
*/
function dot$1(a, b) {
return a[0] * b[0] + a[1] * b[1];
}
/**
* Rotate a 2D vector
* @param {vec2} out The receiving vec2
* @param {ReadonlyVec2} a The vec2 point to rotate
* @param {ReadonlyVec2} b The origin of the rotation
* @param {Number} rad The angle of rotation in radians
* @returns {vec2} out
*/
function rotate(out, a, b, rad) {
var p0 = a[0] - b[0], p1 = a[1] - b[1], sinC = Math.sin(rad), cosC = Math.cos(rad);
out[0] = p0 * cosC - p1 * sinC + b[0];
out[1] = p0 * sinC + p1 * cosC + b[1];
return out;
}
/**
* Get the smallest angle between two 2D vectors
* @param {ReadonlyVec2} a The first operand
* @param {ReadonlyVec2} b The second operand
* @returns {Number} The angle in radians
*/
function angle(a, b) {
var ax = a[0], ay = a[1], bx = b[0], by = b[1];
return Math.abs(Math.atan2(ay * bx - ax * by, ax * bx + ay * by));
}
/**
* Set the components of a vec2 to zero
*
* @param {vec2} out the receiving vector
* @returns {vec2} out
*/
function zero(out) {
out[0] = 0;
out[1] = 0;
return out;
}
/**
* Alias for {@link vec2.subtract}
* @function
*/