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Comparing version 3.4.1 to 3.4.2

6

.size-snapshot.json
{
"dist/gl-matrix-min.js": {
"bundled": 206579,
"minified": 52429,
"gzipped": 13408
"bundled": 202624,
"minified": 51253,
"gzipped": 13004
},

@@ -7,0 +7,0 @@ "dist\\gl-matrix-min.js": {

8

dist/cjs/common.js

@@ -9,3 +9,3 @@ "use strict";

exports.equals = equals;
exports.ANGLE_ORDER = exports.RANDOM = exports.ARRAY_TYPE = exports.EPSILON = void 0;
exports.RANDOM = exports.ARRAY_TYPE = exports.EPSILON = void 0;

@@ -19,7 +19,5 @@ /**

exports.EPSILON = EPSILON;
var ARRAY_TYPE = typeof Float32Array !== "undefined" ? Float32Array : Array;
var ARRAY_TYPE = typeof Float32Array !== 'undefined' ? Float32Array : Array;
exports.ARRAY_TYPE = ARRAY_TYPE;
var RANDOM = Math.random;
exports.RANDOM = RANDOM;
var ANGLE_ORDER = "zyx";
/**

@@ -31,3 +29,3 @@ * Sets the type of array used when creating new vectors and matrices

exports.ANGLE_ORDER = ANGLE_ORDER;
exports.RANDOM = RANDOM;

@@ -34,0 +32,0 @@ function setMatrixArrayType(type) {

2

dist/cjs/mat2.js

@@ -210,3 +210,3 @@ "use strict";

function adjoint(out, a) {
// Caching this value is necessary if out == a
// Caching this value is nessecary if out == a
var a0 = a[0];

@@ -213,0 +213,0 @@ out[0] = a[3];

149

dist/cjs/mat4.js

@@ -36,3 +36,2 @@ "use strict";

exports.getRotation = getRotation;
exports.decompose = decompose;
exports.fromRotationTranslationScale = fromRotationTranslationScale;

@@ -409,30 +408,18 @@ exports.fromRotationTranslationScaleOrigin = fromRotationTranslationScaleOrigin;

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;
out[0] = a11 * b11 - a12 * b10 + a13 * b09;
out[1] = a02 * b10 - a01 * b11 - a03 * b09;
out[2] = a31 * b05 - a32 * b04 + a33 * b03;
out[3] = a22 * b04 - a21 * b05 - a23 * b03;
out[4] = a12 * b08 - a10 * b11 - a13 * b07;
out[5] = a00 * b11 - a02 * b08 + a03 * b07;
out[6] = a32 * b02 - a30 * b05 - a33 * b01;
out[7] = a20 * b05 - a22 * b02 + a23 * b01;
out[8] = a10 * b10 - a11 * b08 + a13 * b06;
out[9] = a01 * b08 - a00 * b10 - a03 * b06;
out[10] = a30 * b04 - a31 * b02 + a33 * b00;
out[11] = a21 * b02 - a20 * b04 - a23 * b00;
out[12] = a11 * b07 - a10 * b09 - a12 * b06;
out[13] = a00 * b09 - a01 * b07 + a02 * b06;
out[14] = a31 * b01 - a30 * b03 - a32 * b00;
out[15] = a20 * b03 - a21 * b01 + a22 * b00;
out[0] = a11 * (a22 * a33 - a23 * a32) - a21 * (a12 * a33 - a13 * a32) + a31 * (a12 * a23 - a13 * a22);
out[1] = -(a01 * (a22 * a33 - a23 * a32) - a21 * (a02 * a33 - a03 * a32) + a31 * (a02 * a23 - a03 * a22));
out[2] = a01 * (a12 * a33 - a13 * a32) - a11 * (a02 * a33 - a03 * a32) + a31 * (a02 * a13 - a03 * a12);
out[3] = -(a01 * (a12 * a23 - a13 * a22) - a11 * (a02 * a23 - a03 * a22) + a21 * (a02 * a13 - a03 * a12));
out[4] = -(a10 * (a22 * a33 - a23 * a32) - a20 * (a12 * a33 - a13 * a32) + a30 * (a12 * a23 - a13 * a22));
out[5] = a00 * (a22 * a33 - a23 * a32) - a20 * (a02 * a33 - a03 * a32) + a30 * (a02 * a23 - a03 * a22);
out[6] = -(a00 * (a12 * a33 - a13 * a32) - a10 * (a02 * a33 - a03 * a32) + a30 * (a02 * a13 - a03 * a12));
out[7] = a00 * (a12 * a23 - a13 * a22) - a10 * (a02 * a23 - a03 * a22) + a20 * (a02 * a13 - a03 * a12);
out[8] = a10 * (a21 * a33 - a23 * a31) - a20 * (a11 * a33 - a13 * a31) + a30 * (a11 * a23 - a13 * a21);
out[9] = -(a00 * (a21 * a33 - a23 * a31) - a20 * (a01 * a33 - a03 * a31) + a30 * (a01 * a23 - a03 * a21));
out[10] = a00 * (a11 * a33 - a13 * a31) - a10 * (a01 * a33 - a03 * a31) + a30 * (a01 * a13 - a03 * a11);
out[11] = -(a00 * (a11 * a23 - a13 * a21) - a10 * (a01 * a23 - a03 * a21) + a20 * (a01 * a13 - a03 * a11));
out[12] = -(a10 * (a21 * a32 - a22 * a31) - a20 * (a11 * a32 - a12 * a31) + a30 * (a11 * a22 - a12 * a21));
out[13] = a00 * (a21 * a32 - a22 * a31) - a20 * (a01 * a32 - a02 * a31) + a30 * (a01 * a22 - a02 * a21);
out[14] = -(a00 * (a11 * a32 - a12 * a31) - a10 * (a01 * a32 - a02 * a31) + a30 * (a01 * a12 - a02 * a11));
out[15] = a00 * (a11 * a22 - a12 * a21) - a10 * (a01 * a22 - a02 * a21) + a20 * (a01 * a12 - a02 * a11);
return out;

@@ -465,14 +452,16 @@ }

a33 = a[15];
var b0 = a00 * a11 - a01 * a10;
var b1 = a00 * a12 - a02 * a10;
var b2 = a01 * a12 - a02 * a11;
var b3 = a20 * a31 - a21 * a30;
var b4 = a20 * a32 - a22 * a30;
var b5 = a21 * a32 - a22 * a31;
var b6 = a00 * b5 - a01 * b4 + a02 * b3;
var b7 = a10 * b5 - a11 * b4 + a12 * b3;
var b8 = a20 * b2 - a21 * b1 + a22 * b0;
var b9 = a30 * b2 - a31 * b1 + a32 * b0; // Calculate the determinant
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; // Calculate the determinant
return a13 * b6 - a03 * b7 + a33 * b8 - a23 * b9;
return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
}

@@ -1254,72 +1243,2 @@ /**

/**
* Decomposes a transformation matrix into its rotation, translation
* and scale components. Returns only the rotation component
* @param {quat} out_r Quaternion to receive the rotation component
* @param {vec3} out_t Vector to receive the translation vector
* @param {vec3} out_s Vector to receive the scaling factor
* @param {ReadonlyMat4} mat Matrix to be decomposed (input)
* @returns {quat} out_r
*/
function decompose(out_r, out_t, out_s, mat) {
out_t[0] = mat[12];
out_t[1] = mat[13];
out_t[2] = mat[14];
var m11 = mat[0];
var m12 = mat[1];
var m13 = mat[2];
var m21 = mat[4];
var m22 = mat[5];
var m23 = mat[6];
var m31 = mat[8];
var m32 = mat[9];
var m33 = mat[10];
out_s[0] = Math.hypot(m11, m12, m13);
out_s[1] = Math.hypot(m21, m22, m23);
out_s[2] = Math.hypot(m31, m32, m33);
var is1 = 1 / out_s[0];
var is2 = 1 / out_s[1];
var is3 = 1 / out_s[2];
var sm11 = m11 * is1;
var sm12 = m12 * is2;
var sm13 = m13 * is3;
var sm21 = m21 * is1;
var sm22 = m22 * is2;
var sm23 = m23 * is3;
var sm31 = m31 * is1;
var sm32 = m32 * is2;
var sm33 = m33 * is3;
var trace = sm11 + sm22 + sm33;
var S = 0;
if (trace > 0) {
S = Math.sqrt(trace + 1.0) * 2;
out_r[3] = 0.25 * S;
out_r[0] = (sm23 - sm32) / S;
out_r[1] = (sm31 - sm13) / S;
out_r[2] = (sm12 - sm21) / S;
} else if (sm11 > sm22 && sm11 > sm33) {
S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;
out_r[3] = (sm23 - sm32) / S;
out_r[0] = 0.25 * S;
out_r[1] = (sm12 + sm21) / S;
out_r[2] = (sm31 + sm13) / S;
} else if (sm22 > sm33) {
S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;
out_r[3] = (sm31 - sm13) / S;
out_r[0] = (sm12 + sm21) / S;
out_r[1] = 0.25 * S;
out_r[2] = (sm23 + sm32) / S;
} else {
S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;
out_r[3] = (sm12 - sm21) / S;
out_r[0] = (sm31 + sm13) / S;
out_r[1] = (sm23 + sm32) / S;
out_r[2] = 0.25 * S;
}
return out_r;
}
/**
* Creates a matrix from a quaternion rotation, vector translation and vector scale

@@ -1552,3 +1471,4 @@ * This is equivalent to (but much faster than):

function perspectiveNO(out, fovy, aspect, near, far) {
var f = 1.0 / Math.tan(fovy / 2);
var f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1570,3 +1490,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
var nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = (far + near) * nf;

@@ -1605,3 +1525,4 @@ out[14] = 2 * far * near * nf;

function perspectiveZO(out, fovy, aspect, near, far) {
var f = 1.0 / Math.tan(fovy / 2);
var f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1623,3 +1544,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
var nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = far * nf;

@@ -1626,0 +1547,0 @@ out[14] = far * near * nf;

89

dist/cjs/quat.js

@@ -28,4 +28,3 @@ "use strict";

exports.str = str;
exports.equals = equals;
exports.setAxes = exports.sqlerp = exports.rotationTo = exports.exactEquals = exports.normalize = exports.sqrLen = exports.squaredLength = exports.len = exports.length = exports.lerp = exports.dot = exports.scale = exports.mul = exports.add = exports.set = exports.copy = exports.fromValues = exports.clone = void 0;
exports.setAxes = exports.sqlerp = exports.rotationTo = exports.equals = exports.exactEquals = exports.normalize = exports.sqrLen = exports.squaredLength = exports.len = exports.length = exports.lerp = exports.dot = exports.scale = exports.mul = exports.add = exports.set = exports.copy = exports.fromValues = exports.clone = void 0;

@@ -45,3 +44,3 @@ var glMatrix = _interopRequireWildcard(require("./common.js"));

/**
* Quaternion in the format XYZW
* Quaternion
* @module quat

@@ -490,9 +489,8 @@ */

/**
* Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.
* Creates a quaternion from the given euler angle x, y, z.
*
* @param {quat} out the receiving quaternion
* @param {x} x Angle to rotate around X axis in degrees.
* @param {y} y Angle to rotate around Y axis in degrees.
* @param {z} z Angle to rotate around Z axis in degrees.
* @param {'zyx'|'xyz'|'yxz'|'yzx'|'zxy'|'zyx'} order Intrinsic order for conversion, default is zyx.
* @param {x} Angle to rotate around X axis in degrees.
* @param {y} Angle to rotate around Y axis in degrees.
* @param {z} Angle to rotate around Z axis in degrees.
* @returns {quat} out

@@ -504,7 +502,6 @@ * @function

function fromEuler(out, x, y, z) {
var order = arguments.length > 4 && arguments[4] !== undefined ? arguments[4] : glMatrix.ANGLE_ORDER;
var halfToRad = Math.PI / 360;
var halfToRad = 0.5 * Math.PI / 180.0;
x *= halfToRad;
y *= halfToRad;
z *= halfToRad;
y *= halfToRad;
var sx = Math.sin(x);

@@ -516,54 +513,10 @@ var cx = Math.cos(x);

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);
}
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;
return out;
}
/**
* Returns a string representation of a quaternion
* Returns a string representation of a quatenion
*

@@ -736,16 +689,11 @@ * @param {ReadonlyQuat} a vector to represent as a string

/**
* Returns whether or not the quaternions point approximately to the same direction.
* Returns whether or not the quaternions have approximately the same elements in the same position.
*
* Both quaternions are assumed to be unit length.
*
* @param {ReadonlyQuat} a The first unit quaternion.
* @param {ReadonlyQuat} b The second unit quaternion.
* @returns {Boolean} True if the quaternions are equal, false otherwise.
* @param {ReadonlyQuat} a The first vector.
* @param {ReadonlyQuat} b The second vector.
* @returns {Boolean} True if the vectors are equal, false otherwise.
*/
exports.exactEquals = exactEquals;
function equals(a, b) {
return Math.abs(vec4.dot(a, b)) >= 1 - glMatrix.EPSILON;
}
var equals = vec4.equals;
/**

@@ -763,2 +711,3 @@ * Sets a quaternion to represent the shortest rotation from one

exports.equals = equals;

@@ -765,0 +714,0 @@ var rotationTo = function () {

4

dist/cjs/quat2.js

@@ -164,3 +164,3 @@ "use strict";

* @param {ReadonlyQuat} q a normalized quaternion
* @param {ReadonlyVec3} t translation vector
* @param {ReadonlyVec3} t tranlation vector
* @returns {quat2} dual quaternion receiving operation result

@@ -876,3 +876,3 @@ * @function

/**
* Returns a string representation of a dual quaternion
* Returns a string representation of a dual quatenion
*

@@ -879,0 +879,0 @@ * @param {ReadonlyQuat2} a dual quaternion to represent as a string

4

dist/cjs/vec2.js

@@ -450,3 +450,3 @@ "use strict";

* @param {vec2} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec2} out

@@ -569,3 +569,3 @@ */

// mag is the product of the magnitudes of a and b
mag = Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)),
mag = Math.sqrt(x1 * x1 + y1 * y1) * Math.sqrt(x2 * x2 + y2 * y2),
// mag &&.. short circuits if mag == 0

@@ -572,0 +572,0 @@ cosine = mag && (x1 * x2 + y1 * y2) / mag; // Math.min(Math.max(cosine, -1), 1) clamps the cosine between -1 and 1

28

dist/cjs/vec3.js

@@ -34,3 +34,2 @@ "use strict";

exports.lerp = lerp;
exports.slerp = slerp;
exports.hermite = hermite;

@@ -485,23 +484,2 @@ exports.bezier = bezier;

/**
* Performs a spherical linear interpolation between two vec3's
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @param {Number} t interpolation amount, in the range [0-1], between the two inputs
* @returns {vec3} out
*/
function slerp(out, a, b, t) {
var angle = Math.acos(Math.min(Math.max(dot(a, b), -1), 1));
var sinTotal = Math.sin(angle);
var ratioA = Math.sin((1 - t) * angle) / sinTotal;
var ratioB = Math.sin(t * angle) / sinTotal;
out[0] = ratioA * a[0] + ratioB * b[0];
out[1] = ratioA * a[1] + ratioB * b[1];
out[2] = ratioA * a[2] + ratioB * b[2];
return out;
}
/**
* Performs a hermite interpolation with two control points

@@ -560,3 +538,3 @@ *

* @param {vec3} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec3} out

@@ -757,3 +735,5 @@ */

bz = b[2],
mag = Math.sqrt((ax * ax + ay * ay + az * az) * (bx * bx + by * by + bz * bz)),
mag1 = Math.sqrt(ax * ax + ay * ay + az * az),
mag2 = Math.sqrt(bx * bx + by * by + bz * bz),
mag = mag1 * mag2,
cosine = mag && dot(a, b) / mag;

@@ -760,0 +740,0 @@ return Math.acos(Math.min(Math.max(cosine, -1), 1));

2

dist/cjs/vec4.js

@@ -512,3 +512,3 @@ "use strict";

* @param {vec4} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec4} out

@@ -515,0 +515,0 @@ */

3

dist/esm/common.js

@@ -7,5 +7,4 @@ /**

export var EPSILON = 0.000001;
export var ARRAY_TYPE = typeof Float32Array !== "undefined" ? Float32Array : Array;
export var ARRAY_TYPE = typeof Float32Array !== 'undefined' ? Float32Array : Array;
export var RANDOM = Math.random;
export var ANGLE_ORDER = "zyx";
/**

@@ -12,0 +11,0 @@ * Sets the type of array used when creating new vectors and matrices

2

dist/esm/mat2.js

@@ -165,3 +165,3 @@ import * as glMatrix from "./common.js";

export function adjoint(out, a) {
// Caching this value is necessary if out == a
// Caching this value is nessecary if out == a
var a0 = a[0];

@@ -168,0 +168,0 @@ out[0] = a[3];

147

dist/esm/mat4.js

@@ -339,30 +339,18 @@ import * as glMatrix from "./common.js";

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;
out[0] = a11 * b11 - a12 * b10 + a13 * b09;
out[1] = a02 * b10 - a01 * b11 - a03 * b09;
out[2] = a31 * b05 - a32 * b04 + a33 * b03;
out[3] = a22 * b04 - a21 * b05 - a23 * b03;
out[4] = a12 * b08 - a10 * b11 - a13 * b07;
out[5] = a00 * b11 - a02 * b08 + a03 * b07;
out[6] = a32 * b02 - a30 * b05 - a33 * b01;
out[7] = a20 * b05 - a22 * b02 + a23 * b01;
out[8] = a10 * b10 - a11 * b08 + a13 * b06;
out[9] = a01 * b08 - a00 * b10 - a03 * b06;
out[10] = a30 * b04 - a31 * b02 + a33 * b00;
out[11] = a21 * b02 - a20 * b04 - a23 * b00;
out[12] = a11 * b07 - a10 * b09 - a12 * b06;
out[13] = a00 * b09 - a01 * b07 + a02 * b06;
out[14] = a31 * b01 - a30 * b03 - a32 * b00;
out[15] = a20 * b03 - a21 * b01 + a22 * b00;
out[0] = a11 * (a22 * a33 - a23 * a32) - a21 * (a12 * a33 - a13 * a32) + a31 * (a12 * a23 - a13 * a22);
out[1] = -(a01 * (a22 * a33 - a23 * a32) - a21 * (a02 * a33 - a03 * a32) + a31 * (a02 * a23 - a03 * a22));
out[2] = a01 * (a12 * a33 - a13 * a32) - a11 * (a02 * a33 - a03 * a32) + a31 * (a02 * a13 - a03 * a12);
out[3] = -(a01 * (a12 * a23 - a13 * a22) - a11 * (a02 * a23 - a03 * a22) + a21 * (a02 * a13 - a03 * a12));
out[4] = -(a10 * (a22 * a33 - a23 * a32) - a20 * (a12 * a33 - a13 * a32) + a30 * (a12 * a23 - a13 * a22));
out[5] = a00 * (a22 * a33 - a23 * a32) - a20 * (a02 * a33 - a03 * a32) + a30 * (a02 * a23 - a03 * a22);
out[6] = -(a00 * (a12 * a33 - a13 * a32) - a10 * (a02 * a33 - a03 * a32) + a30 * (a02 * a13 - a03 * a12));
out[7] = a00 * (a12 * a23 - a13 * a22) - a10 * (a02 * a23 - a03 * a22) + a20 * (a02 * a13 - a03 * a12);
out[8] = a10 * (a21 * a33 - a23 * a31) - a20 * (a11 * a33 - a13 * a31) + a30 * (a11 * a23 - a13 * a21);
out[9] = -(a00 * (a21 * a33 - a23 * a31) - a20 * (a01 * a33 - a03 * a31) + a30 * (a01 * a23 - a03 * a21));
out[10] = a00 * (a11 * a33 - a13 * a31) - a10 * (a01 * a33 - a03 * a31) + a30 * (a01 * a13 - a03 * a11);
out[11] = -(a00 * (a11 * a23 - a13 * a21) - a10 * (a01 * a23 - a03 * a21) + a20 * (a01 * a13 - a03 * a11));
out[12] = -(a10 * (a21 * a32 - a22 * a31) - a20 * (a11 * a32 - a12 * a31) + a30 * (a11 * a22 - a12 * a21));
out[13] = a00 * (a21 * a32 - a22 * a31) - a20 * (a01 * a32 - a02 * a31) + a30 * (a01 * a22 - a02 * a21);
out[14] = -(a00 * (a11 * a32 - a12 * a31) - a10 * (a01 * a32 - a02 * a31) + a30 * (a01 * a12 - a02 * a11));
out[15] = a00 * (a11 * a22 - a12 * a21) - a10 * (a01 * a22 - a02 * a21) + a20 * (a01 * a12 - a02 * a11);
return out;

@@ -394,14 +382,16 @@ }

a33 = a[15];
var b0 = a00 * a11 - a01 * a10;
var b1 = a00 * a12 - a02 * a10;
var b2 = a01 * a12 - a02 * a11;
var b3 = a20 * a31 - a21 * a30;
var b4 = a20 * a32 - a22 * a30;
var b5 = a21 * a32 - a22 * a31;
var b6 = a00 * b5 - a01 * b4 + a02 * b3;
var b7 = a10 * b5 - a11 * b4 + a12 * b3;
var b8 = a20 * b2 - a21 * b1 + a22 * b0;
var b9 = a30 * b2 - a31 * b1 + a32 * b0; // Calculate the determinant
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; // Calculate the determinant
return a13 * b6 - a03 * b7 + a33 * b8 - a23 * b9;
return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
}

@@ -1165,71 +1155,2 @@ /**

/**
* Decomposes a transformation matrix into its rotation, translation
* and scale components. Returns only the rotation component
* @param {quat} out_r Quaternion to receive the rotation component
* @param {vec3} out_t Vector to receive the translation vector
* @param {vec3} out_s Vector to receive the scaling factor
* @param {ReadonlyMat4} mat Matrix to be decomposed (input)
* @returns {quat} out_r
*/
export function decompose(out_r, out_t, out_s, mat) {
out_t[0] = mat[12];
out_t[1] = mat[13];
out_t[2] = mat[14];
var m11 = mat[0];
var m12 = mat[1];
var m13 = mat[2];
var m21 = mat[4];
var m22 = mat[5];
var m23 = mat[6];
var m31 = mat[8];
var m32 = mat[9];
var m33 = mat[10];
out_s[0] = Math.hypot(m11, m12, m13);
out_s[1] = Math.hypot(m21, m22, m23);
out_s[2] = Math.hypot(m31, m32, m33);
var is1 = 1 / out_s[0];
var is2 = 1 / out_s[1];
var is3 = 1 / out_s[2];
var sm11 = m11 * is1;
var sm12 = m12 * is2;
var sm13 = m13 * is3;
var sm21 = m21 * is1;
var sm22 = m22 * is2;
var sm23 = m23 * is3;
var sm31 = m31 * is1;
var sm32 = m32 * is2;
var sm33 = m33 * is3;
var trace = sm11 + sm22 + sm33;
var S = 0;
if (trace > 0) {
S = Math.sqrt(trace + 1.0) * 2;
out_r[3] = 0.25 * S;
out_r[0] = (sm23 - sm32) / S;
out_r[1] = (sm31 - sm13) / S;
out_r[2] = (sm12 - sm21) / S;
} else if (sm11 > sm22 && sm11 > sm33) {
S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;
out_r[3] = (sm23 - sm32) / S;
out_r[0] = 0.25 * S;
out_r[1] = (sm12 + sm21) / S;
out_r[2] = (sm31 + sm13) / S;
} else if (sm22 > sm33) {
S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;
out_r[3] = (sm31 - sm13) / S;
out_r[0] = (sm12 + sm21) / S;
out_r[1] = 0.25 * S;
out_r[2] = (sm23 + sm32) / S;
} else {
S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;
out_r[3] = (sm12 - sm21) / S;
out_r[0] = (sm31 + sm13) / S;
out_r[1] = (sm23 + sm32) / S;
out_r[2] = 0.25 * S;
}
return out_r;
}
/**
* Creates a matrix from a quaternion rotation, vector translation and vector scale

@@ -1457,3 +1378,4 @@ * This is equivalent to (but much faster than):

export function perspectiveNO(out, fovy, aspect, near, far) {
var f = 1.0 / Math.tan(fovy / 2);
var f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1475,3 +1397,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
var nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = (far + near) * nf;

@@ -1507,3 +1429,4 @@ out[14] = 2 * far * near * nf;

export function perspectiveZO(out, fovy, aspect, near, far) {
var f = 1.0 / Math.tan(fovy / 2);
var f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1525,3 +1448,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
var nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = far * nf;

@@ -1528,0 +1451,0 @@ out[14] = far * near * nf;

84

dist/esm/quat.js

@@ -6,3 +6,3 @@ import * as glMatrix from "./common.js";

/**
* Quaternion in the format XYZW
* Quaternion
* @module quat

@@ -435,9 +435,8 @@ */

/**
* Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.
* Creates a quaternion from the given euler angle x, y, z.
*
* @param {quat} out the receiving quaternion
* @param {x} x Angle to rotate around X axis in degrees.
* @param {y} y Angle to rotate around Y axis in degrees.
* @param {z} z Angle to rotate around Z axis in degrees.
* @param {'zyx'|'xyz'|'yxz'|'yzx'|'zxy'|'zyx'} order Intrinsic order for conversion, default is zyx.
* @param {x} Angle to rotate around X axis in degrees.
* @param {y} Angle to rotate around Y axis in degrees.
* @param {z} Angle to rotate around Z axis in degrees.
* @returns {quat} out

@@ -448,7 +447,6 @@ * @function

export function fromEuler(out, x, y, z) {
var order = arguments.length > 4 && arguments[4] !== undefined ? arguments[4] : glMatrix.ANGLE_ORDER;
var halfToRad = Math.PI / 360;
var halfToRad = 0.5 * Math.PI / 180.0;
x *= halfToRad;
y *= halfToRad;
z *= halfToRad;
y *= halfToRad;
var sx = Math.sin(x);

@@ -460,54 +458,10 @@ var cx = Math.cos(x);

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);
}
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;
return out;
}
/**
* Returns a string representation of a quaternion
* Returns a string representation of a quatenion
*

@@ -664,14 +618,10 @@ * @param {ReadonlyQuat} a vector to represent as a string

/**
* Returns whether or not the quaternions point approximately to the same direction.
* Returns whether or not the quaternions have approximately the same elements in the same position.
*
* Both quaternions are assumed to be unit length.
*
* @param {ReadonlyQuat} a The first unit quaternion.
* @param {ReadonlyQuat} b The second unit quaternion.
* @returns {Boolean} True if the quaternions are equal, false otherwise.
* @param {ReadonlyQuat} a The first vector.
* @param {ReadonlyQuat} b The second vector.
* @returns {Boolean} True if the vectors are equal, false otherwise.
*/
export function equals(a, b) {
return Math.abs(vec4.dot(a, b)) >= 1 - glMatrix.EPSILON;
}
export var equals = vec4.equals;
/**

@@ -678,0 +628,0 @@ * Sets a quaternion to represent the shortest rotation from one

4

dist/esm/quat2.js

@@ -115,3 +115,3 @@ import * as glMatrix from "./common.js";

* @param {ReadonlyQuat} q a normalized quaternion
* @param {ReadonlyVec3} t translation vector
* @param {ReadonlyVec3} t tranlation vector
* @returns {quat2} dual quaternion receiving operation result

@@ -790,3 +790,3 @@ * @function

/**
* Returns a string representation of a dual quaternion
* Returns a string representation of a dual quatenion
*

@@ -793,0 +793,0 @@ * @param {ReadonlyQuat2} a dual quaternion to represent as a string

4

dist/esm/vec2.js

@@ -375,3 +375,3 @@ import * as glMatrix from "./common.js";

* @param {vec2} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec2} out

@@ -487,3 +487,3 @@ */

// mag is the product of the magnitudes of a and b
mag = Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)),
mag = Math.sqrt(x1 * x1 + y1 * y1) * Math.sqrt(x2 * x2 + y2 * y2),
// mag &&.. short circuits if mag == 0

@@ -490,0 +490,0 @@ cosine = mag && (x1 * x2 + y1 * y2) / mag; // Math.min(Math.max(cosine, -1), 1) clamps the cosine between -1 and 1

26

dist/esm/vec3.js

@@ -405,22 +405,2 @@ import * as glMatrix from "./common.js";

/**
* Performs a spherical linear interpolation between two vec3's
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @param {Number} t interpolation amount, in the range [0-1], between the two inputs
* @returns {vec3} out
*/
export function slerp(out, a, b, t) {
var angle = Math.acos(Math.min(Math.max(dot(a, b), -1), 1));
var sinTotal = Math.sin(angle);
var ratioA = Math.sin((1 - t) * angle) / sinTotal;
var ratioB = Math.sin(t * angle) / sinTotal;
out[0] = ratioA * a[0] + ratioB * b[0];
out[1] = ratioA * a[1] + ratioB * b[1];
out[2] = ratioA * a[2] + ratioB * b[2];
return out;
}
/**
* Performs a hermite interpolation with two control points

@@ -477,3 +457,3 @@ *

* @param {vec3} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec3} out

@@ -666,3 +646,5 @@ */

bz = b[2],
mag = Math.sqrt((ax * ax + ay * ay + az * az) * (bx * bx + by * by + bz * bz)),
mag1 = Math.sqrt(ax * ax + ay * ay + az * az),
mag2 = Math.sqrt(bx * bx + by * by + bz * bz),
mag = mag1 * mag2,
cosine = mag && dot(a, b) / mag;

@@ -669,0 +651,0 @@ return Math.acos(Math.min(Math.max(cosine, -1), 1));

2

dist/esm/vec4.js

@@ -441,3 +441,3 @@ import * as glMatrix from "./common.js";

* @param {vec4} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec4} out

@@ -444,0 +444,0 @@ */

4

dist/gl-matrix-min.js

@@ -5,3 +5,3 @@ /*!

@author Colin MacKenzie IV
@version 3.4.1
@version 3.4.2

@@ -29,2 +29,2 @@ Copyright (c) 2015-2021, Brandon Jones, Colin MacKenzie IV.

*/
!function(t,n){"object"==typeof exports&&"undefined"!=typeof module?n(exports):"function"==typeof define&&define.amd?define(["exports"],n):n((t="undefined"!=typeof globalThis?globalThis:t||self).glMatrix={})}(this,(function(t){"use strict";var n=1e-6,a="undefined"!=typeof Float32Array?Float32Array:Array,r=Math.random;var u=Math.PI/180;Math.hypot||(Math.hypot=function(){for(var t=0,n=arguments.length;n--;)t+=arguments[n]*arguments[n];return Math.sqrt(t)});var e=Object.freeze({__proto__:null,EPSILON:n,get ARRAY_TYPE(){return a},RANDOM:r,ANGLE_ORDER:"zyx",setMatrixArrayType:function(t){a=t},toRadian:function(t){return t*u},equals:function(t,a){return Math.abs(t-a)<=n*Math.max(1,Math.abs(t),Math.abs(a))}});function o(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=a[0],h=a[1],c=a[2],s=a[3];return t[0]=r*i+e*h,t[1]=u*i+o*h,t[2]=r*c+e*s,t[3]=u*c+o*s,t}function i(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t[2]=n[2]-a[2],t[3]=n[3]-a[3],t}var h=o,c=i,s=Object.freeze({__proto__:null,create:function(){var t=new a(4);return a!=Float32Array&&(t[1]=0,t[2]=0),t[0]=1,t[3]=1,t},clone:function(t){var n=new a(4);return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t},identity:function(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=1,t},fromValues:function(t,n,r,u){var e=new a(4);return e[0]=t,e[1]=n,e[2]=r,e[3]=u,e},set:function(t,n,a,r,u){return t[0]=n,t[1]=a,t[2]=r,t[3]=u,t},transpose:function(t,n){if(t===n){var a=n[1];t[1]=n[2],t[2]=a}else t[0]=n[0],t[1]=n[2],t[2]=n[1],t[3]=n[3];return t},invert:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=a*e-u*r;return o?(o=1/o,t[0]=e*o,t[1]=-r*o,t[2]=-u*o,t[3]=a*o,t):null},adjoint:function(t,n){var a=n[0];return t[0]=n[3],t[1]=-n[1],t[2]=-n[2],t[3]=a,t},determinant:function(t){return t[0]*t[3]-t[2]*t[1]},multiply:o,rotate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=Math.sin(a),h=Math.cos(a);return t[0]=r*h+e*i,t[1]=u*h+o*i,t[2]=r*-i+e*h,t[3]=u*-i+o*h,t},scale:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=a[0],h=a[1];return t[0]=r*i,t[1]=u*i,t[2]=e*h,t[3]=o*h,t},fromRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=a,t[2]=-a,t[3]=r,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=n[1],t},str:function(t){return"mat2("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+")"},frob:function(t){return Math.hypot(t[0],t[1],t[2],t[3])},LDU:function(t,n,a,r){return t[2]=r[2]/r[0],a[0]=r[0],a[1]=r[1],a[3]=r[3]-t[2]*a[1],[t,n,a]},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t[2]=n[2]+a[2],t[3]=n[3]+a[3],t},subtract:i,exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]&&t[2]===n[2]&&t[3]===n[3]},equals:function(t,a){var r=t[0],u=t[1],e=t[2],o=t[3],i=a[0],h=a[1],c=a[2],s=a[3];return Math.abs(r-i)<=n*Math.max(1,Math.abs(r),Math.abs(i))&&Math.abs(u-h)<=n*Math.max(1,Math.abs(u),Math.abs(h))&&Math.abs(e-c)<=n*Math.max(1,Math.abs(e),Math.abs(c))&&Math.abs(o-s)<=n*Math.max(1,Math.abs(o),Math.abs(s))},multiplyScalar:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t},multiplyScalarAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t[2]=n[2]+a[2]*r,t[3]=n[3]+a[3]*r,t},mul:h,sub:c});function M(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=a[0],s=a[1],M=a[2],f=a[3],l=a[4],v=a[5];return t[0]=r*c+e*s,t[1]=u*c+o*s,t[2]=r*M+e*f,t[3]=u*M+o*f,t[4]=r*l+e*v+i,t[5]=u*l+o*v+h,t}function f(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t[2]=n[2]-a[2],t[3]=n[3]-a[3],t[4]=n[4]-a[4],t[5]=n[5]-a[5],t}var l=M,v=f,b=Object.freeze({__proto__:null,create:function(){var t=new a(6);return a!=Float32Array&&(t[1]=0,t[2]=0,t[4]=0,t[5]=0),t[0]=1,t[3]=1,t},clone:function(t){var n=new a(6);return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[4]=n[4],t[5]=n[5],t},identity:function(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=1,t[4]=0,t[5]=0,t},fromValues:function(t,n,r,u,e,o){var i=new a(6);return i[0]=t,i[1]=n,i[2]=r,i[3]=u,i[4]=e,i[5]=o,i},set:function(t,n,a,r,u,e,o){return t[0]=n,t[1]=a,t[2]=r,t[3]=u,t[4]=e,t[5]=o,t},invert:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=a*e-r*u;return h?(h=1/h,t[0]=e*h,t[1]=-r*h,t[2]=-u*h,t[3]=a*h,t[4]=(u*i-e*o)*h,t[5]=(r*o-a*i)*h,t):null},determinant:function(t){return t[0]*t[3]-t[1]*t[2]},multiply:M,rotate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=Math.sin(a),s=Math.cos(a);return t[0]=r*s+e*c,t[1]=u*s+o*c,t[2]=r*-c+e*s,t[3]=u*-c+o*s,t[4]=i,t[5]=h,t},scale:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=a[0],s=a[1];return t[0]=r*c,t[1]=u*c,t[2]=e*s,t[3]=o*s,t[4]=i,t[5]=h,t},translate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=a[0],s=a[1];return t[0]=r,t[1]=u,t[2]=e,t[3]=o,t[4]=r*c+e*s+i,t[5]=u*c+o*s+h,t},fromRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=a,t[2]=-a,t[3]=r,t[4]=0,t[5]=0,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=n[1],t[4]=0,t[5]=0,t},fromTranslation:function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=1,t[4]=n[0],t[5]=n[1],t},str:function(t){return"mat2d("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+", "+t[4]+", "+t[5]+")"},frob:function(t){return Math.hypot(t[0],t[1],t[2],t[3],t[4],t[5],1)},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t[2]=n[2]+a[2],t[3]=n[3]+a[3],t[4]=n[4]+a[4],t[5]=n[5]+a[5],t},subtract:f,multiplyScalar:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t[4]=n[4]*a,t[5]=n[5]*a,t},multiplyScalarAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t[2]=n[2]+a[2]*r,t[3]=n[3]+a[3]*r,t[4]=n[4]+a[4]*r,t[5]=n[5]+a[5]*r,t},exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]&&t[2]===n[2]&&t[3]===n[3]&&t[4]===n[4]&&t[5]===n[5]},equals:function(t,a){var r=t[0],u=t[1],e=t[2],o=t[3],i=t[4],h=t[5],c=a[0],s=a[1],M=a[2],f=a[3],l=a[4],v=a[5];return Math.abs(r-c)<=n*Math.max(1,Math.abs(r),Math.abs(c))&&Math.abs(u-s)<=n*Math.max(1,Math.abs(u),Math.abs(s))&&Math.abs(e-M)<=n*Math.max(1,Math.abs(e),Math.abs(M))&&Math.abs(o-f)<=n*Math.max(1,Math.abs(o),Math.abs(f))&&Math.abs(i-l)<=n*Math.max(1,Math.abs(i),Math.abs(l))&&Math.abs(h-v)<=n*Math.max(1,Math.abs(h),Math.abs(v))},mul:l,sub:v});function m(){var t=new a(9);return a!=Float32Array&&(t[1]=0,t[2]=0,t[3]=0,t[5]=0,t[6]=0,t[7]=0),t[0]=1,t[4]=1,t[8]=1,t}function d(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=a[0],l=a[1],v=a[2],b=a[3],m=a[4],d=a[5],p=a[6],x=a[7],y=a[8];return t[0]=f*r+l*o+v*c,t[1]=f*u+l*i+v*s,t[2]=f*e+l*h+v*M,t[3]=b*r+m*o+d*c,t[4]=b*u+m*i+d*s,t[5]=b*e+m*h+d*M,t[6]=p*r+x*o+y*c,t[7]=p*u+x*i+y*s,t[8]=p*e+x*h+y*M,t}function p(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t[2]=n[2]-a[2],t[3]=n[3]-a[3],t[4]=n[4]-a[4],t[5]=n[5]-a[5],t[6]=n[6]-a[6],t[7]=n[7]-a[7],t[8]=n[8]-a[8],t}var x=d,y=p,q=Object.freeze({__proto__:null,create:m,fromMat4:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[4],t[4]=n[5],t[5]=n[6],t[6]=n[8],t[7]=n[9],t[8]=n[10],t},clone:function(t){var n=new a(9);return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n[6]=t[6],n[7]=t[7],n[8]=t[8],n},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t},fromValues:function(t,n,r,u,e,o,i,h,c){var s=new a(9);return s[0]=t,s[1]=n,s[2]=r,s[3]=u,s[4]=e,s[5]=o,s[6]=i,s[7]=h,s[8]=c,s},set:function(t,n,a,r,u,e,o,i,h,c){return t[0]=n,t[1]=a,t[2]=r,t[3]=u,t[4]=e,t[5]=o,t[6]=i,t[7]=h,t[8]=c,t},identity:function(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=1,t[5]=0,t[6]=0,t[7]=0,t[8]=1,t},transpose:function(t,n){if(t===n){var a=n[1],r=n[2],u=n[5];t[1]=n[3],t[2]=n[6],t[3]=a,t[5]=n[7],t[6]=r,t[7]=u}else t[0]=n[0],t[1]=n[3],t[2]=n[6],t[3]=n[1],t[4]=n[4],t[5]=n[7],t[6]=n[2],t[7]=n[5],t[8]=n[8];return t},invert:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=s*o-i*c,f=-s*e+i*h,l=c*e-o*h,v=a*M+r*f+u*l;return v?(v=1/v,t[0]=M*v,t[1]=(-s*r+u*c)*v,t[2]=(i*r-u*o)*v,t[3]=f*v,t[4]=(s*a-u*h)*v,t[5]=(-i*a+u*e)*v,t[6]=l*v,t[7]=(-c*a+r*h)*v,t[8]=(o*a-r*e)*v,t):null},adjoint:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8];return t[0]=o*s-i*c,t[1]=u*c-r*s,t[2]=r*i-u*o,t[3]=i*h-e*s,t[4]=a*s-u*h,t[5]=u*e-a*i,t[6]=e*c-o*h,t[7]=r*h-a*c,t[8]=a*o-r*e,t},determinant:function(t){var n=t[0],a=t[1],r=t[2],u=t[3],e=t[4],o=t[5],i=t[6],h=t[7],c=t[8];return n*(c*e-o*h)+a*(-c*u+o*i)+r*(h*u-e*i)},multiply:d,translate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=a[0],l=a[1];return t[0]=r,t[1]=u,t[2]=e,t[3]=o,t[4]=i,t[5]=h,t[6]=f*r+l*o+c,t[7]=f*u+l*i+s,t[8]=f*e+l*h+M,t},rotate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=Math.sin(a),l=Math.cos(a);return t[0]=l*r+f*o,t[1]=l*u+f*i,t[2]=l*e+f*h,t[3]=l*o-f*r,t[4]=l*i-f*u,t[5]=l*h-f*e,t[6]=c,t[7]=s,t[8]=M,t},scale:function(t,n,a){var r=a[0],u=a[1];return t[0]=r*n[0],t[1]=r*n[1],t[2]=r*n[2],t[3]=u*n[3],t[4]=u*n[4],t[5]=u*n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t},fromTranslation:function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=1,t[5]=0,t[6]=n[0],t[7]=n[1],t[8]=1,t},fromRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=a,t[2]=0,t[3]=-a,t[4]=r,t[5]=0,t[6]=0,t[7]=0,t[8]=1,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=0,t[4]=n[1],t[5]=0,t[6]=0,t[7]=0,t[8]=1,t},fromMat2d:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=0,t[3]=n[2],t[4]=n[3],t[5]=0,t[6]=n[4],t[7]=n[5],t[8]=1,t},fromQuat:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=a+a,i=r+r,h=u+u,c=a*o,s=r*o,M=r*i,f=u*o,l=u*i,v=u*h,b=e*o,m=e*i,d=e*h;return t[0]=1-M-v,t[3]=s-d,t[6]=f+m,t[1]=s+d,t[4]=1-c-v,t[7]=l-b,t[2]=f-m,t[5]=l+b,t[8]=1-c-M,t},normalFromMat4:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=n[9],f=n[10],l=n[11],v=n[12],b=n[13],m=n[14],d=n[15],p=a*i-r*o,x=a*h-u*o,y=a*c-e*o,q=r*h-u*i,g=r*c-e*i,_=u*c-e*h,A=s*b-M*v,w=s*m-f*v,z=s*d-l*v,R=M*m-f*b,O=M*d-l*b,j=f*d-l*m,E=p*j-x*O+y*R+q*z-g*w+_*A;return E?(E=1/E,t[0]=(i*j-h*O+c*R)*E,t[1]=(h*z-o*j-c*w)*E,t[2]=(o*O-i*z+c*A)*E,t[3]=(u*O-r*j-e*R)*E,t[4]=(a*j-u*z+e*w)*E,t[5]=(r*z-a*O-e*A)*E,t[6]=(b*_-m*g+d*q)*E,t[7]=(m*y-v*_-d*x)*E,t[8]=(v*g-b*y+d*p)*E,t):null},projection:function(t,n,a){return t[0]=2/n,t[1]=0,t[2]=0,t[3]=0,t[4]=-2/a,t[5]=0,t[6]=-1,t[7]=1,t[8]=1,t},str:function(t){return"mat3("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+", "+t[4]+", "+t[5]+", "+t[6]+", "+t[7]+", "+t[8]+")"},frob:function(t){return Math.hypot(t[0],t[1],t[2],t[3],t[4],t[5],t[6],t[7],t[8])},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t[2]=n[2]+a[2],t[3]=n[3]+a[3],t[4]=n[4]+a[4],t[5]=n[5]+a[5],t[6]=n[6]+a[6],t[7]=n[7]+a[7],t[8]=n[8]+a[8],t},subtract:p,multiplyScalar:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t[4]=n[4]*a,t[5]=n[5]*a,t[6]=n[6]*a,t[7]=n[7]*a,t[8]=n[8]*a,t},multiplyScalarAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t[2]=n[2]+a[2]*r,t[3]=n[3]+a[3]*r,t[4]=n[4]+a[4]*r,t[5]=n[5]+a[5]*r,t[6]=n[6]+a[6]*r,t[7]=n[7]+a[7]*r,t[8]=n[8]+a[8]*r,t},exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]&&t[2]===n[2]&&t[3]===n[3]&&t[4]===n[4]&&t[5]===n[5]&&t[6]===n[6]&&t[7]===n[7]&&t[8]===n[8]},equals:function(t,a){var r=t[0],u=t[1],e=t[2],o=t[3],i=t[4],h=t[5],c=t[6],s=t[7],M=t[8],f=a[0],l=a[1],v=a[2],b=a[3],m=a[4],d=a[5],p=a[6],x=a[7],y=a[8];return Math.abs(r-f)<=n*Math.max(1,Math.abs(r),Math.abs(f))&&Math.abs(u-l)<=n*Math.max(1,Math.abs(u),Math.abs(l))&&Math.abs(e-v)<=n*Math.max(1,Math.abs(e),Math.abs(v))&&Math.abs(o-b)<=n*Math.max(1,Math.abs(o),Math.abs(b))&&Math.abs(i-m)<=n*Math.max(1,Math.abs(i),Math.abs(m))&&Math.abs(h-d)<=n*Math.max(1,Math.abs(h),Math.abs(d))&&Math.abs(c-p)<=n*Math.max(1,Math.abs(c),Math.abs(p))&&Math.abs(s-x)<=n*Math.max(1,Math.abs(s),Math.abs(x))&&Math.abs(M-y)<=n*Math.max(1,Math.abs(M),Math.abs(y))},mul:x,sub:y});function g(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t}function _(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=n[9],l=n[10],v=n[11],b=n[12],m=n[13],d=n[14],p=n[15],x=a[0],y=a[1],q=a[2],g=a[3];return t[0]=x*r+y*i+q*M+g*b,t[1]=x*u+y*h+q*f+g*m,t[2]=x*e+y*c+q*l+g*d,t[3]=x*o+y*s+q*v+g*p,x=a[4],y=a[5],q=a[6],g=a[7],t[4]=x*r+y*i+q*M+g*b,t[5]=x*u+y*h+q*f+g*m,t[6]=x*e+y*c+q*l+g*d,t[7]=x*o+y*s+q*v+g*p,x=a[8],y=a[9],q=a[10],g=a[11],t[8]=x*r+y*i+q*M+g*b,t[9]=x*u+y*h+q*f+g*m,t[10]=x*e+y*c+q*l+g*d,t[11]=x*o+y*s+q*v+g*p,x=a[12],y=a[13],q=a[14],g=a[15],t[12]=x*r+y*i+q*M+g*b,t[13]=x*u+y*h+q*f+g*m,t[14]=x*e+y*c+q*l+g*d,t[15]=x*o+y*s+q*v+g*p,t}function A(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=r+r,h=u+u,c=e+e,s=r*i,M=r*h,f=r*c,l=u*h,v=u*c,b=e*c,m=o*i,d=o*h,p=o*c;return t[0]=1-(l+b),t[1]=M+p,t[2]=f-d,t[3]=0,t[4]=M-p,t[5]=1-(s+b),t[6]=v+m,t[7]=0,t[8]=f+d,t[9]=v-m,t[10]=1-(s+l),t[11]=0,t[12]=a[0],t[13]=a[1],t[14]=a[2],t[15]=1,t}function w(t,n){return t[0]=n[12],t[1]=n[13],t[2]=n[14],t}function z(t,n){var a=n[0],r=n[1],u=n[2],e=n[4],o=n[5],i=n[6],h=n[8],c=n[9],s=n[10];return t[0]=Math.hypot(a,r,u),t[1]=Math.hypot(e,o,i),t[2]=Math.hypot(h,c,s),t}function R(t,n){var r=new a(3);z(r,n);var u=1/r[0],e=1/r[1],o=1/r[2],i=n[0]*u,h=n[1]*e,c=n[2]*o,s=n[4]*u,M=n[5]*e,f=n[6]*o,l=n[8]*u,v=n[9]*e,b=n[10]*o,m=i+M+b,d=0;return m>0?(d=2*Math.sqrt(m+1),t[3]=.25*d,t[0]=(f-v)/d,t[1]=(l-c)/d,t[2]=(h-s)/d):i>M&&i>b?(d=2*Math.sqrt(1+i-M-b),t[3]=(f-v)/d,t[0]=.25*d,t[1]=(h+s)/d,t[2]=(l+c)/d):M>b?(d=2*Math.sqrt(1+M-i-b),t[3]=(l-c)/d,t[0]=(h+s)/d,t[1]=.25*d,t[2]=(f+v)/d):(d=2*Math.sqrt(1+b-i-M),t[3]=(h-s)/d,t[0]=(l+c)/d,t[1]=(f+v)/d,t[2]=.25*d),t}function O(t,n,a,r,u){var e=1/Math.tan(n/2);if(t[0]=e/a,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=e,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[11]=-1,t[12]=0,t[13]=0,t[15]=0,null!=u&&u!==1/0){var o=1/(r-u);t[10]=(u+r)*o,t[14]=2*u*r*o}else t[10]=-1,t[14]=-2*r;return t}var j=O;function E(t,n,a,r,u,e,o){var i=1/(n-a),h=1/(r-u),c=1/(e-o);return t[0]=-2*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=-2*h,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=2*c,t[11]=0,t[12]=(n+a)*i,t[13]=(u+r)*h,t[14]=(o+e)*c,t[15]=1,t}var P=E;function T(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t[2]=n[2]-a[2],t[3]=n[3]-a[3],t[4]=n[4]-a[4],t[5]=n[5]-a[5],t[6]=n[6]-a[6],t[7]=n[7]-a[7],t[8]=n[8]-a[8],t[9]=n[9]-a[9],t[10]=n[10]-a[10],t[11]=n[11]-a[11],t[12]=n[12]-a[12],t[13]=n[13]-a[13],t[14]=n[14]-a[14],t[15]=n[15]-a[15],t}var S=_,D=T,F=Object.freeze({__proto__:null,create:function(){var t=new a(16);return a!=Float32Array&&(t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[11]=0,t[12]=0,t[13]=0,t[14]=0),t[0]=1,t[5]=1,t[10]=1,t[15]=1,t},clone:function(t){var n=new a(16);return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n[6]=t[6],n[7]=t[7],n[8]=t[8],n[9]=t[9],n[10]=t[10],n[11]=t[11],n[12]=t[12],n[13]=t[13],n[14]=t[14],n[15]=t[15],n},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},fromValues:function(t,n,r,u,e,o,i,h,c,s,M,f,l,v,b,m){var d=new a(16);return d[0]=t,d[1]=n,d[2]=r,d[3]=u,d[4]=e,d[5]=o,d[6]=i,d[7]=h,d[8]=c,d[9]=s,d[10]=M,d[11]=f,d[12]=l,d[13]=v,d[14]=b,d[15]=m,d},set:function(t,n,a,r,u,e,o,i,h,c,s,M,f,l,v,b,m){return t[0]=n,t[1]=a,t[2]=r,t[3]=u,t[4]=e,t[5]=o,t[6]=i,t[7]=h,t[8]=c,t[9]=s,t[10]=M,t[11]=f,t[12]=l,t[13]=v,t[14]=b,t[15]=m,t},identity:g,transpose:function(t,n){if(t===n){var a=n[1],r=n[2],u=n[3],e=n[6],o=n[7],i=n[11];t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=a,t[6]=n[9],t[7]=n[13],t[8]=r,t[9]=e,t[11]=n[14],t[12]=u,t[13]=o,t[14]=i}else t[0]=n[0],t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=n[1],t[5]=n[5],t[6]=n[9],t[7]=n[13],t[8]=n[2],t[9]=n[6],t[10]=n[10],t[11]=n[14],t[12]=n[3],t[13]=n[7],t[14]=n[11],t[15]=n[15];return t},invert:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=n[9],f=n[10],l=n[11],v=n[12],b=n[13],m=n[14],d=n[15],p=a*i-r*o,x=a*h-u*o,y=a*c-e*o,q=r*h-u*i,g=r*c-e*i,_=u*c-e*h,A=s*b-M*v,w=s*m-f*v,z=s*d-l*v,R=M*m-f*b,O=M*d-l*b,j=f*d-l*m,E=p*j-x*O+y*R+q*z-g*w+_*A;return 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n=t[0],a=t[1],r=t[2],u=t[3],e=t[4],o=t[5],i=t[6],h=t[7],c=t[8],s=t[9],M=t[10],f=t[11],l=t[12],v=t[13],b=t[14],m=n*o-a*e,d=n*i-r*e,p=a*i-r*o,x=c*v-s*l,y=c*b-M*l,q=s*b-M*v;return h*(n*q-a*y+r*x)-u*(e*q-o*y+i*x)+t[15]*(c*p-s*d+M*m)-f*(l*p-v*d+b*m)},multiply:_,translate:function(t,n,a){var r,u,e,o,i,h,c,s,M,f,l,v,b=a[0],m=a[1],d=a[2];return n===t?(t[12]=n[0]*b+n[4]*m+n[8]*d+n[12],t[13]=n[1]*b+n[5]*m+n[9]*d+n[13],t[14]=n[2]*b+n[6]*m+n[10]*d+n[14],t[15]=n[3]*b+n[7]*m+n[11]*d+n[15]):(r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=n[9],l=n[10],v=n[11],t[0]=r,t[1]=u,t[2]=e,t[3]=o,t[4]=i,t[5]=h,t[6]=c,t[7]=s,t[8]=M,t[9]=f,t[10]=l,t[11]=v,t[12]=r*b+i*m+M*d+n[12],t[13]=u*b+h*m+f*d+n[13],t[14]=e*b+c*m+l*d+n[14],t[15]=o*b+s*m+v*d+n[15]),t},scale:function(t,n,a){var r=a[0],u=a[1],e=a[2];return t[0]=n[0]*r,t[1]=n[1]*r,t[2]=n[2]*r,t[3]=n[3]*r,t[4]=n[4]*u,t[5]=n[5]*u,t[6]=n[6]*u,t[7]=n[7]*u,t[8]=n[8]*e,t[9]=n[9]*e,t[10]=n[10]*e,t[11]=n[11]*e,t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},rotate:function(t,a,r,u){var e,o,i,h,c,s,M,f,l,v,b,m,d,p,x,y,q,g,_,A,w,z,R,O,j=u[0],E=u[1],P=u[2],T=Math.hypot(j,E,P);return T<n?null:(j*=T=1/T,E*=T,P*=T,e=Math.sin(r),i=1-(o=Math.cos(r)),h=a[0],c=a[1],s=a[2],M=a[3],f=a[4],l=a[5],v=a[6],b=a[7],m=a[8],d=a[9],p=a[10],x=a[11],y=j*j*i+o,q=E*j*i+P*e,g=P*j*i-E*e,_=j*E*i-P*e,A=E*E*i+o,w=P*E*i+j*e,z=j*P*i+E*e,R=E*P*i-j*e,O=P*P*i+o,t[0]=h*y+f*q+m*g,t[1]=c*y+l*q+d*g,t[2]=s*y+v*q+p*g,t[3]=M*y+b*q+x*g,t[4]=h*_+f*A+m*w,t[5]=c*_+l*A+d*w,t[6]=s*_+v*A+p*w,t[7]=M*_+b*A+x*w,t[8]=h*z+f*R+m*O,t[9]=c*z+l*R+d*O,t[10]=s*z+v*R+p*O,t[11]=M*z+b*R+x*O,a!==t&&(t[12]=a[12],t[13]=a[13],t[14]=a[14],t[15]=a[15]),t)},rotateX:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[4],o=n[5],i=n[6],h=n[7],c=n[8],s=n[9],M=n[10],f=n[11];return n!==t&&(t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[4]=e*u+c*r,t[5]=o*u+s*r,t[6]=i*u+M*r,t[7]=h*u+f*r,t[8]=c*u-e*r,t[9]=s*u-o*r,t[10]=M*u-i*r,t[11]=f*u-h*r,t},rotateY:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[0],o=n[1],i=n[2],h=n[3],c=n[8],s=n[9],M=n[10],f=n[11];return n!==t&&(t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=e*u-c*r,t[1]=o*u-s*r,t[2]=i*u-M*r,t[3]=h*u-f*r,t[8]=e*r+c*u,t[9]=o*r+s*u,t[10]=i*r+M*u,t[11]=h*r+f*u,t},rotateZ:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[0],o=n[1],i=n[2],h=n[3],c=n[4],s=n[5],M=n[6],f=n[7];return n!==t&&(t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=e*u+c*r,t[1]=o*u+s*r,t[2]=i*u+M*r,t[3]=h*u+f*r,t[4]=c*u-e*r,t[5]=s*u-o*r,t[6]=M*u-i*r,t[7]=f*u-h*r,t},fromTranslation:function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=n[0],t[13]=n[1],t[14]=n[2],t[15]=1,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=n[1],t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=n[2],t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromRotation:function(t,a,r){var u,e,o,i=r[0],h=r[1],c=r[2],s=Math.hypot(i,h,c);return s<n?null:(i*=s=1/s,h*=s,c*=s,u=Math.sin(a),o=1-(e=Math.cos(a)),t[0]=i*i*o+e,t[1]=h*i*o+c*u,t[2]=c*i*o-h*u,t[3]=0,t[4]=i*h*o-c*u,t[5]=h*h*o+e,t[6]=c*h*o+i*u,t[7]=0,t[8]=i*c*o+h*u,t[9]=h*c*o-i*u,t[10]=c*c*o+e,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t)},fromXRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=r,t[6]=a,t[7]=0,t[8]=0,t[9]=-a,t[10]=r,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromYRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return 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t[0]=r,t[1]=u,t[2]=e,t[3]=o,t[4]=i,t[5]=h,t[6]=f*r+l*o+c,t[7]=f*u+l*i+s,t[8]=f*e+l*h+M,t},rotate:function(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=Math.sin(a),l=Math.cos(a);return t[0]=l*r+f*o,t[1]=l*u+f*i,t[2]=l*e+f*h,t[3]=l*o-f*r,t[4]=l*i-f*u,t[5]=l*h-f*e,t[6]=c,t[7]=s,t[8]=M,t},scale:function(t,n,a){var r=a[0],u=a[1];return t[0]=r*n[0],t[1]=r*n[1],t[2]=r*n[2],t[3]=u*n[3],t[4]=u*n[4],t[5]=u*n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t},fromTranslation:function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=1,t[5]=0,t[6]=n[0],t[7]=n[1],t[8]=1,t},fromRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=a,t[2]=0,t[3]=-a,t[4]=r,t[5]=0,t[6]=0,t[7]=0,t[8]=1,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=0,t[4]=n[1],t[5]=0,t[6]=0,t[7]=0,t[8]=1,t},fromMat2d:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=0,t[3]=n[2],t[4]=n[3],t[5]=0,t[6]=n[4],t[7]=n[5],t[8]=1,t},fromQuat:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=a+a,i=r+r,h=u+u,c=a*o,s=r*o,M=r*i,f=u*o,l=u*i,v=u*h,b=e*o,m=e*i,d=e*h;return t[0]=1-M-v,t[3]=s-d,t[6]=f+m,t[1]=s+d,t[4]=1-c-v,t[7]=l-b,t[2]=f-m,t[5]=l+b,t[8]=1-c-M,t},normalFromMat4:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=n[9],f=n[10],l=n[11],v=n[12],b=n[13],m=n[14],d=n[15],p=a*i-r*o,x=a*h-u*o,y=a*c-e*o,q=r*h-u*i,g=r*c-e*i,_=u*c-e*h,A=s*b-M*v,w=s*m-f*v,R=s*d-l*v,z=M*m-f*b,O=M*d-l*b,j=f*d-l*m,P=p*j-x*O+y*z+q*R-g*w+_*A;return P?(P=1/P,t[0]=(i*j-h*O+c*z)*P,t[1]=(h*R-o*j-c*w)*P,t[2]=(o*O-i*R+c*A)*P,t[3]=(u*O-r*j-e*z)*P,t[4]=(a*j-u*R+e*w)*P,t[5]=(r*R-a*O-e*A)*P,t[6]=(b*_-m*g+d*q)*P,t[7]=(m*y-v*_-d*x)*P,t[8]=(v*g-b*y+d*p)*P,t):null},projection:function(t,n,a){return t[0]=2/n,t[1]=0,t[2]=0,t[3]=0,t[4]=-2/a,t[5]=0,t[6]=-1,t[7]=1,t[8]=1,t},str:function(t){return"mat3("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+", "+t[4]+", "+t[5]+", "+t[6]+", "+t[7]+", "+t[8]+")"},frob:function(t){return Math.hypot(t[0],t[1],t[2],t[3],t[4],t[5],t[6],t[7],t[8])},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t[2]=n[2]+a[2],t[3]=n[3]+a[3],t[4]=n[4]+a[4],t[5]=n[5]+a[5],t[6]=n[6]+a[6],t[7]=n[7]+a[7],t[8]=n[8]+a[8],t},subtract:p,multiplyScalar:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t[4]=n[4]*a,t[5]=n[5]*a,t[6]=n[6]*a,t[7]=n[7]*a,t[8]=n[8]*a,t},multiplyScalarAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t[2]=n[2]+a[2]*r,t[3]=n[3]+a[3]*r,t[4]=n[4]+a[4]*r,t[5]=n[5]+a[5]*r,t[6]=n[6]+a[6]*r,t[7]=n[7]+a[7]*r,t[8]=n[8]+a[8]*r,t},exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]&&t[2]===n[2]&&t[3]===n[3]&&t[4]===n[4]&&t[5]===n[5]&&t[6]===n[6]&&t[7]===n[7]&&t[8]===n[8]},equals:function(t,a){var r=t[0],u=t[1],e=t[2],o=t[3],i=t[4],h=t[5],c=t[6],s=t[7],M=t[8],f=a[0],l=a[1],v=a[2],b=a[3],m=a[4],d=a[5],p=a[6],x=a[7],y=a[8];return Math.abs(r-f)<=n*Math.max(1,Math.abs(r),Math.abs(f))&&Math.abs(u-l)<=n*Math.max(1,Math.abs(u),Math.abs(l))&&Math.abs(e-v)<=n*Math.max(1,Math.abs(e),Math.abs(v))&&Math.abs(o-b)<=n*Math.max(1,Math.abs(o),Math.abs(b))&&Math.abs(i-m)<=n*Math.max(1,Math.abs(i),Math.abs(m))&&Math.abs(h-d)<=n*Math.max(1,Math.abs(h),Math.abs(d))&&Math.abs(c-p)<=n*Math.max(1,Math.abs(c),Math.abs(p))&&Math.abs(s-x)<=n*Math.max(1,Math.abs(s),Math.abs(x))&&Math.abs(M-y)<=n*Math.max(1,Math.abs(M),Math.abs(y))},mul:x,sub:y});function g(t){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t}function _(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=n[9],l=n[10],v=n[11],b=n[12],m=n[13],d=n[14],p=n[15],x=a[0],y=a[1],q=a[2],g=a[3];return t[0]=x*r+y*i+q*M+g*b,t[1]=x*u+y*h+q*f+g*m,t[2]=x*e+y*c+q*l+g*d,t[3]=x*o+y*s+q*v+g*p,x=a[4],y=a[5],q=a[6],g=a[7],t[4]=x*r+y*i+q*M+g*b,t[5]=x*u+y*h+q*f+g*m,t[6]=x*e+y*c+q*l+g*d,t[7]=x*o+y*s+q*v+g*p,x=a[8],y=a[9],q=a[10],g=a[11],t[8]=x*r+y*i+q*M+g*b,t[9]=x*u+y*h+q*f+g*m,t[10]=x*e+y*c+q*l+g*d,t[11]=x*o+y*s+q*v+g*p,x=a[12],y=a[13],q=a[14],g=a[15],t[12]=x*r+y*i+q*M+g*b,t[13]=x*u+y*h+q*f+g*m,t[14]=x*e+y*c+q*l+g*d,t[15]=x*o+y*s+q*v+g*p,t}function A(t,n,a){var r=n[0],u=n[1],e=n[2],o=n[3],i=r+r,h=u+u,c=e+e,s=r*i,M=r*h,f=r*c,l=u*h,v=u*c,b=e*c,m=o*i,d=o*h,p=o*c;return t[0]=1-(l+b),t[1]=M+p,t[2]=f-d,t[3]=0,t[4]=M-p,t[5]=1-(s+b),t[6]=v+m,t[7]=0,t[8]=f+d,t[9]=v-m,t[10]=1-(s+l),t[11]=0,t[12]=a[0],t[13]=a[1],t[14]=a[2],t[15]=1,t}function w(t,n){return t[0]=n[12],t[1]=n[13],t[2]=n[14],t}function R(t,n){var a=n[0],r=n[1],u=n[2],e=n[4],o=n[5],i=n[6],h=n[8],c=n[9],s=n[10];return t[0]=Math.hypot(a,r,u),t[1]=Math.hypot(e,o,i),t[2]=Math.hypot(h,c,s),t}function z(t,n){var r=new a(3);R(r,n);var u=1/r[0],e=1/r[1],o=1/r[2],i=n[0]*u,h=n[1]*e,c=n[2]*o,s=n[4]*u,M=n[5]*e,f=n[6]*o,l=n[8]*u,v=n[9]*e,b=n[10]*o,m=i+M+b,d=0;return m>0?(d=2*Math.sqrt(m+1),t[3]=.25*d,t[0]=(f-v)/d,t[1]=(l-c)/d,t[2]=(h-s)/d):i>M&&i>b?(d=2*Math.sqrt(1+i-M-b),t[3]=(f-v)/d,t[0]=.25*d,t[1]=(h+s)/d,t[2]=(l+c)/d):M>b?(d=2*Math.sqrt(1+M-i-b),t[3]=(l-c)/d,t[0]=(h+s)/d,t[1]=.25*d,t[2]=(f+v)/d):(d=2*Math.sqrt(1+b-i-M),t[3]=(h-s)/d,t[0]=(l+c)/d,t[1]=(f+v)/d,t[2]=.25*d),t}function O(t,n,a,r,u){var e,o=1/Math.tan(n/2);return t[0]=o/a,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=o,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[11]=-1,t[12]=0,t[13]=0,t[15]=0,null!=u&&u!==1/0?(e=1/(r-u),t[10]=(u+r)*e,t[14]=2*u*r*e):(t[10]=-1,t[14]=-2*r),t}var j=O;function P(t,n,a,r,u,e,o){var i=1/(n-a),h=1/(r-u),c=1/(e-o);return t[0]=-2*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=-2*h,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=2*c,t[11]=0,t[12]=(n+a)*i,t[13]=(u+r)*h,t[14]=(o+e)*c,t[15]=1,t}var S=P;function E(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t[2]=n[2]-a[2],t[3]=n[3]-a[3],t[4]=n[4]-a[4],t[5]=n[5]-a[5],t[6]=n[6]-a[6],t[7]=n[7]-a[7],t[8]=n[8]-a[8],t[9]=n[9]-a[9],t[10]=n[10]-a[10],t[11]=n[11]-a[11],t[12]=n[12]-a[12],t[13]=n[13]-a[13],t[14]=n[14]-a[14],t[15]=n[15]-a[15],t}var T=_,D=E,F=Object.freeze({__proto__:null,create:function(){var t=new a(16);return a!=Float32Array&&(t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[11]=0,t[12]=0,t[13]=0,t[14]=0),t[0]=1,t[5]=1,t[10]=1,t[15]=1,t},clone:function(t){var n=new a(16);return n[0]=t[0],n[1]=t[1],n[2]=t[2],n[3]=t[3],n[4]=t[4],n[5]=t[5],n[6]=t[6],n[7]=t[7],n[8]=t[8],n[9]=t[9],n[10]=t[10],n[11]=t[11],n[12]=t[12],n[13]=t[13],n[14]=t[14],n[15]=t[15],n},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},fromValues:function(t,n,r,u,e,o,i,h,c,s,M,f,l,v,b,m){var d=new a(16);return d[0]=t,d[1]=n,d[2]=r,d[3]=u,d[4]=e,d[5]=o,d[6]=i,d[7]=h,d[8]=c,d[9]=s,d[10]=M,d[11]=f,d[12]=l,d[13]=v,d[14]=b,d[15]=m,d},set:function(t,n,a,r,u,e,o,i,h,c,s,M,f,l,v,b,m){return t[0]=n,t[1]=a,t[2]=r,t[3]=u,t[4]=e,t[5]=o,t[6]=i,t[7]=h,t[8]=c,t[9]=s,t[10]=M,t[11]=f,t[12]=l,t[13]=v,t[14]=b,t[15]=m,t},identity:g,transpose:function(t,n){if(t===n){var a=n[1],r=n[2],u=n[3],e=n[6],o=n[7],i=n[11];t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=a,t[6]=n[9],t[7]=n[13],t[8]=r,t[9]=e,t[11]=n[14],t[12]=u,t[13]=o,t[14]=i}else t[0]=n[0],t[1]=n[4],t[2]=n[8],t[3]=n[12],t[4]=n[1],t[5]=n[5],t[6]=n[9],t[7]=n[13],t[8]=n[2],t[9]=n[6],t[10]=n[10],t[11]=n[14],t[12]=n[3],t[13]=n[7],t[14]=n[11],t[15]=n[15];return t},invert:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=n[9],f=n[10],l=n[11],v=n[12],b=n[13],m=n[14],d=n[15],p=a*i-r*o,x=a*h-u*o,y=a*c-e*o,q=r*h-u*i,g=r*c-e*i,_=u*c-e*h,A=s*b-M*v,w=s*m-f*v,R=s*d-l*v,z=M*m-f*b,O=M*d-l*b,j=f*d-l*m,P=p*j-x*O+y*z+q*R-g*w+_*A;return P?(P=1/P,t[0]=(i*j-h*O+c*z)*P,t[1]=(u*O-r*j-e*z)*P,t[2]=(b*_-m*g+d*q)*P,t[3]=(f*g-M*_-l*q)*P,t[4]=(h*R-o*j-c*w)*P,t[5]=(a*j-u*R+e*w)*P,t[6]=(m*y-v*_-d*x)*P,t[7]=(s*_-f*y+l*x)*P,t[8]=(o*O-i*R+c*A)*P,t[9]=(r*R-a*O-e*A)*P,t[10]=(v*g-b*y+d*p)*P,t[11]=(M*y-s*g-l*p)*P,t[12]=(i*w-o*z-h*A)*P,t[13]=(a*z-r*w+u*A)*P,t[14]=(b*x-v*q-m*p)*P,t[15]=(s*q-M*x+f*p)*P,t):null},adjoint:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=n[4],i=n[5],h=n[6],c=n[7],s=n[8],M=n[9],f=n[10],l=n[11],v=n[12],b=n[13],m=n[14],d=n[15];return t[0]=i*(f*d-l*m)-M*(h*d-c*m)+b*(h*l-c*f),t[1]=-(r*(f*d-l*m)-M*(u*d-e*m)+b*(u*l-e*f)),t[2]=r*(h*d-c*m)-i*(u*d-e*m)+b*(u*c-e*h),t[3]=-(r*(h*l-c*f)-i*(u*l-e*f)+M*(u*c-e*h)),t[4]=-(o*(f*d-l*m)-s*(h*d-c*m)+v*(h*l-c*f)),t[5]=a*(f*d-l*m)-s*(u*d-e*m)+v*(u*l-e*f),t[6]=-(a*(h*d-c*m)-o*(u*d-e*m)+v*(u*c-e*h)),t[7]=a*(h*l-c*f)-o*(u*l-e*f)+s*(u*c-e*h),t[8]=o*(M*d-l*b)-s*(i*d-c*b)+v*(i*l-c*M),t[9]=-(a*(M*d-l*b)-s*(r*d-e*b)+v*(r*l-e*M)),t[10]=a*(i*d-c*b)-o*(r*d-e*b)+v*(r*c-e*i),t[11]=-(a*(i*l-c*M)-o*(r*l-e*M)+s*(r*c-e*i)),t[12]=-(o*(M*m-f*b)-s*(i*m-h*b)+v*(i*f-h*M)),t[13]=a*(M*m-f*b)-s*(r*m-u*b)+v*(r*f-u*M),t[14]=-(a*(i*m-h*b)-o*(r*m-u*b)+v*(r*h-u*i)),t[15]=a*(i*f-h*M)-o*(r*f-u*M)+s*(r*h-u*i),t},determinant:function(t){var n=t[0],a=t[1],r=t[2],u=t[3],e=t[4],o=t[5],i=t[6],h=t[7],c=t[8],s=t[9],M=t[10],f=t[11],l=t[12],v=t[13],b=t[14],m=t[15];return(n*o-a*e)*(M*m-f*b)-(n*i-r*e)*(s*m-f*v)+(n*h-u*e)*(s*b-M*v)+(a*i-r*o)*(c*m-f*l)-(a*h-u*o)*(c*b-M*l)+(r*h-u*i)*(c*v-s*l)},multiply:_,translate:function(t,n,a){var r,u,e,o,i,h,c,s,M,f,l,v,b=a[0],m=a[1],d=a[2];return n===t?(t[12]=n[0]*b+n[4]*m+n[8]*d+n[12],t[13]=n[1]*b+n[5]*m+n[9]*d+n[13],t[14]=n[2]*b+n[6]*m+n[10]*d+n[14],t[15]=n[3]*b+n[7]*m+n[11]*d+n[15]):(r=n[0],u=n[1],e=n[2],o=n[3],i=n[4],h=n[5],c=n[6],s=n[7],M=n[8],f=n[9],l=n[10],v=n[11],t[0]=r,t[1]=u,t[2]=e,t[3]=o,t[4]=i,t[5]=h,t[6]=c,t[7]=s,t[8]=M,t[9]=f,t[10]=l,t[11]=v,t[12]=r*b+i*m+M*d+n[12],t[13]=u*b+h*m+f*d+n[13],t[14]=e*b+c*m+l*d+n[14],t[15]=o*b+s*m+v*d+n[15]),t},scale:function(t,n,a){var r=a[0],u=a[1],e=a[2];return t[0]=n[0]*r,t[1]=n[1]*r,t[2]=n[2]*r,t[3]=n[3]*r,t[4]=n[4]*u,t[5]=n[5]*u,t[6]=n[6]*u,t[7]=n[7]*u,t[8]=n[8]*e,t[9]=n[9]*e,t[10]=n[10]*e,t[11]=n[11]*e,t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15],t},rotate:function(t,a,r,u){var e,o,i,h,c,s,M,f,l,v,b,m,d,p,x,y,q,g,_,A,w,R,z,O,j=u[0],P=u[1],S=u[2],E=Math.hypot(j,P,S);return E<n?null:(j*=E=1/E,P*=E,S*=E,e=Math.sin(r),i=1-(o=Math.cos(r)),h=a[0],c=a[1],s=a[2],M=a[3],f=a[4],l=a[5],v=a[6],b=a[7],m=a[8],d=a[9],p=a[10],x=a[11],y=j*j*i+o,q=P*j*i+S*e,g=S*j*i-P*e,_=j*P*i-S*e,A=P*P*i+o,w=S*P*i+j*e,R=j*S*i+P*e,z=P*S*i-j*e,O=S*S*i+o,t[0]=h*y+f*q+m*g,t[1]=c*y+l*q+d*g,t[2]=s*y+v*q+p*g,t[3]=M*y+b*q+x*g,t[4]=h*_+f*A+m*w,t[5]=c*_+l*A+d*w,t[6]=s*_+v*A+p*w,t[7]=M*_+b*A+x*w,t[8]=h*R+f*z+m*O,t[9]=c*R+l*z+d*O,t[10]=s*R+v*z+p*O,t[11]=M*R+b*z+x*O,a!==t&&(t[12]=a[12],t[13]=a[13],t[14]=a[14],t[15]=a[15]),t)},rotateX:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[4],o=n[5],i=n[6],h=n[7],c=n[8],s=n[9],M=n[10],f=n[11];return n!==t&&(t[0]=n[0],t[1]=n[1],t[2]=n[2],t[3]=n[3],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[4]=e*u+c*r,t[5]=o*u+s*r,t[6]=i*u+M*r,t[7]=h*u+f*r,t[8]=c*u-e*r,t[9]=s*u-o*r,t[10]=M*u-i*r,t[11]=f*u-h*r,t},rotateY:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[0],o=n[1],i=n[2],h=n[3],c=n[8],s=n[9],M=n[10],f=n[11];return n!==t&&(t[4]=n[4],t[5]=n[5],t[6]=n[6],t[7]=n[7],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=e*u-c*r,t[1]=o*u-s*r,t[2]=i*u-M*r,t[3]=h*u-f*r,t[8]=e*r+c*u,t[9]=o*r+s*u,t[10]=i*r+M*u,t[11]=h*r+f*u,t},rotateZ:function(t,n,a){var r=Math.sin(a),u=Math.cos(a),e=n[0],o=n[1],i=n[2],h=n[3],c=n[4],s=n[5],M=n[6],f=n[7];return n!==t&&(t[8]=n[8],t[9]=n[9],t[10]=n[10],t[11]=n[11],t[12]=n[12],t[13]=n[13],t[14]=n[14],t[15]=n[15]),t[0]=e*u+c*r,t[1]=o*u+s*r,t[2]=i*u+M*r,t[3]=h*u+f*r,t[4]=c*u-e*r,t[5]=s*u-o*r,t[6]=M*u-i*r,t[7]=f*u-h*r,t},fromTranslation:function(t,n){return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=n[0],t[13]=n[1],t[14]=n[2],t[15]=1,t},fromScaling:function(t,n){return t[0]=n[0],t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=n[1],t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=n[2],t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromRotation:function(t,a,r){var u,e,o,i=r[0],h=r[1],c=r[2],s=Math.hypot(i,h,c);return s<n?null:(i*=s=1/s,h*=s,c*=s,u=Math.sin(a),o=1-(e=Math.cos(a)),t[0]=i*i*o+e,t[1]=h*i*o+c*u,t[2]=c*i*o-h*u,t[3]=0,t[4]=i*h*o-c*u,t[5]=h*h*o+e,t[6]=c*h*o+i*u,t[7]=0,t[8]=i*c*o+h*u,t[9]=h*c*o-i*u,t[10]=c*c*o+e,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t)},fromXRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=1,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=r,t[6]=a,t[7]=0,t[8]=0,t[9]=-a,t[10]=r,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromYRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=0,t[2]=-a,t[3]=0,t[4]=0,t[5]=1,t[6]=0,t[7]=0,t[8]=a,t[9]=0,t[10]=r,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromZRotation:function(t,n){var a=Math.sin(n),r=Math.cos(n);return t[0]=r,t[1]=a,t[2]=0,t[3]=0,t[4]=-a,t[5]=r,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=1,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},fromRotationTranslation:A,fromQuat2:function(t,n){var r=new a(3),u=-n[0],e=-n[1],o=-n[2],i=n[3],h=n[4],c=n[5],s=n[6],M=n[7],f=u*u+e*e+o*o+i*i;return f>0?(r[0]=2*(h*i+M*u+c*o-s*e)/f,r[1]=2*(c*i+M*e+s*u-h*o)/f,r[2]=2*(s*i+M*o+h*e-c*u)/f):(r[0]=2*(h*i+M*u+c*o-s*e),r[1]=2*(c*i+M*e+s*u-h*o),r[2]=2*(s*i+M*o+h*e-c*u)),A(t,n,r),t},getTranslation:w,getScaling:R,getRotation:z,fromRotationTranslationScale:function(t,n,a,r){var u=n[0],e=n[1],o=n[2],i=n[3],h=u+u,c=e+e,s=o+o,M=u*h,f=u*c,l=u*s,v=e*c,b=e*s,m=o*s,d=i*h,p=i*c,x=i*s,y=r[0],q=r[1],g=r[2];return t[0]=(1-(v+m))*y,t[1]=(f+x)*y,t[2]=(l-p)*y,t[3]=0,t[4]=(f-x)*q,t[5]=(1-(M+m))*q,t[6]=(b+d)*q,t[7]=0,t[8]=(l+p)*g,t[9]=(b-d)*g,t[10]=(1-(M+v))*g,t[11]=0,t[12]=a[0],t[13]=a[1],t[14]=a[2],t[15]=1,t},fromRotationTranslationScaleOrigin:function(t,n,a,r,u){var e=n[0],o=n[1],i=n[2],h=n[3],c=e+e,s=o+o,M=i+i,f=e*c,l=e*s,v=e*M,b=o*s,m=o*M,d=i*M,p=h*c,x=h*s,y=h*M,q=r[0],g=r[1],_=r[2],A=u[0],w=u[1],R=u[2],z=(1-(b+d))*q,O=(l+y)*q,j=(v-x)*q,P=(l-y)*g,S=(1-(f+d))*g,E=(m+p)*g,T=(v+x)*_,D=(m-p)*_,F=(1-(f+b))*_;return t[0]=z,t[1]=O,t[2]=j,t[3]=0,t[4]=P,t[5]=S,t[6]=E,t[7]=0,t[8]=T,t[9]=D,t[10]=F,t[11]=0,t[12]=a[0]+A-(z*A+P*w+T*R),t[13]=a[1]+w-(O*A+S*w+D*R),t[14]=a[2]+R-(j*A+E*w+F*R),t[15]=1,t},fromQuat:function(t,n){var a=n[0],r=n[1],u=n[2],e=n[3],o=a+a,i=r+r,h=u+u,c=a*o,s=r*o,M=r*i,f=u*o,l=u*i,v=u*h,b=e*o,m=e*i,d=e*h;return t[0]=1-M-v,t[1]=s+d,t[2]=f-m,t[3]=0,t[4]=s-d,t[5]=1-c-v,t[6]=l+b,t[7]=0,t[8]=f+m,t[9]=l-b,t[10]=1-c-M,t[11]=0,t[12]=0,t[13]=0,t[14]=0,t[15]=1,t},frustum:function(t,n,a,r,u,e,o){var i=1/(a-n),h=1/(u-r),c=1/(e-o);return t[0]=2*e*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=2*e*h,t[6]=0,t[7]=0,t[8]=(a+n)*i,t[9]=(u+r)*h,t[10]=(o+e)*c,t[11]=-1,t[12]=0,t[13]=0,t[14]=o*e*2*c,t[15]=0,t},perspectiveNO:O,perspective:j,perspectiveZO:function(t,n,a,r,u){var e,o=1/Math.tan(n/2);return t[0]=o/a,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=o,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[11]=-1,t[12]=0,t[13]=0,t[15]=0,null!=u&&u!==1/0?(e=1/(r-u),t[10]=u*e,t[14]=u*r*e):(t[10]=-1,t[14]=-r),t},perspectiveFromFieldOfView:function(t,n,a,r){var u=Math.tan(n.upDegrees*Math.PI/180),e=Math.tan(n.downDegrees*Math.PI/180),o=Math.tan(n.leftDegrees*Math.PI/180),i=Math.tan(n.rightDegrees*Math.PI/180),h=2/(o+i),c=2/(u+e);return t[0]=h,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=c,t[6]=0,t[7]=0,t[8]=-(o-i)*h*.5,t[9]=(u-e)*c*.5,t[10]=r/(a-r),t[11]=-1,t[12]=0,t[13]=0,t[14]=r*a/(a-r),t[15]=0,t},orthoNO:P,ortho:S,orthoZO:function(t,n,a,r,u,e,o){var i=1/(n-a),h=1/(r-u),c=1/(e-o);return t[0]=-2*i,t[1]=0,t[2]=0,t[3]=0,t[4]=0,t[5]=-2*h,t[6]=0,t[7]=0,t[8]=0,t[9]=0,t[10]=c,t[11]=0,t[12]=(n+a)*i,t[13]=(u+r)*h,t[14]=e*c,t[15]=1,t},lookAt:function(t,a,r,u){var e,o,i,h,c,s,M,f,l,v,b=a[0],m=a[1],d=a[2],p=u[0],x=u[1],y=u[2],q=r[0],_=r[1],A=r[2];return Math.abs(b-q)<n&&Math.abs(m-_)<n&&Math.abs(d-A)<n?g(t):(M=b-q,f=m-_,l=d-A,e=x*(l*=v=1/Math.hypot(M,f,l))-y*(f*=v),o=y*(M*=v)-p*l,i=p*f-x*M,(v=Math.hypot(e,o,i))?(e*=v=1/v,o*=v,i*=v):(e=0,o=0,i=0),h=f*i-l*o,c=l*e-M*i,s=M*o-f*e,(v=Math.hypot(h,c,s))?(h*=v=1/v,c*=v,s*=v):(h=0,c=0,s=0),t[0]=e,t[1]=h,t[2]=M,t[3]=0,t[4]=o,t[5]=c,t[6]=f,t[7]=0,t[8]=i,t[9]=s,t[10]=l,t[11]=0,t[12]=-(e*b+o*m+i*d),t[13]=-(h*b+c*m+s*d),t[14]=-(M*b+f*m+l*d),t[15]=1,t)},targetTo:function(t,n,a,r){var u=n[0],e=n[1],o=n[2],i=r[0],h=r[1],c=r[2],s=u-a[0],M=e-a[1],f=o-a[2],l=s*s+M*M+f*f;l>0&&(s*=l=1/Math.sqrt(l),M*=l,f*=l);var v=h*f-c*M,b=c*s-i*f,m=i*M-h*s;return(l=v*v+b*b+m*m)>0&&(v*=l=1/Math.sqrt(l),b*=l,m*=l),t[0]=v,t[1]=b,t[2]=m,t[3]=0,t[4]=M*m-f*b,t[5]=f*v-s*m,t[6]=s*b-M*v,t[7]=0,t[8]=s,t[9]=M,t[10]=f,t[11]=0,t[12]=u,t[13]=e,t[14]=o,t[15]=1,t},str:function(t){return"mat4("+t[0]+", "+t[1]+", "+t[2]+", "+t[3]+", "+t[4]+", "+t[5]+", "+t[6]+", "+t[7]+", "+t[8]+", "+t[9]+", "+t[10]+", "+t[11]+", "+t[12]+", "+t[13]+", "+t[14]+", "+t[15]+")"},frob:function(t){return Math.hypot(t[0],t[1],t[2],t[3],t[4],t[5],t[6],t[7],t[8],t[9],t[10],t[11],t[12],t[13],t[14],t[15])},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t[2]=n[2]+a[2],t[3]=n[3]+a[3],t[4]=n[4]+a[4],t[5]=n[5]+a[5],t[6]=n[6]+a[6],t[7]=n[7]+a[7],t[8]=n[8]+a[8],t[9]=n[9]+a[9],t[10]=n[10]+a[10],t[11]=n[11]+a[11],t[12]=n[12]+a[12],t[13]=n[13]+a[13],t[14]=n[14]+a[14],t[15]=n[15]+a[15],t},subtract:E,multiplyScalar:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t[2]=n[2]*a,t[3]=n[3]*a,t[4]=n[4]*a,t[5]=n[5]*a,t[6]=n[6]*a,t[7]=n[7]*a,t[8]=n[8]*a,t[9]=n[9]*a,t[10]=n[10]*a,t[11]=n[11]*a,t[12]=n[12]*a,t[13]=n[13]*a,t[14]=n[14]*a,t[15]=n[15]*a,t},multiplyScalarAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t[2]=n[2]+a[2]*r,t[3]=n[3]+a[3]*r,t[4]=n[4]+a[4]*r,t[5]=n[5]+a[5]*r,t[6]=n[6]+a[6]*r,t[7]=n[7]+a[7]*r,t[8]=n[8]+a[8]*r,t[9]=n[9]+a[9]*r,t[10]=n[10]+a[10]*r,t[11]=n[11]+a[11]*r,t[12]=n[12]+a[12]*r,t[13]=n[13]+a[13]*r,t[14]=n[14]+a[14]*r,t[15]=n[15]+a[15]*r,t},exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]&&t[2]===n[2]&&t[3]===n[3]&&t[4]===n[4]&&t[5]===n[5]&&t[6]===n[6]&&t[7]===n[7]&&t[8]===n[8]&&t[9]===n[9]&&t[10]===n[10]&&t[11]===n[11]&&t[12]===n[12]&&t[13]===n[13]&&t[14]===n[14]&&t[15]===n[15]},equals:function(t,a){var r=t[0],u=t[1],e=t[2],o=t[3],i=t[4],h=t[5],c=t[6],s=t[7],M=t[8],f=t[9],l=t[10],v=t[11],b=t[12],m=t[13],d=t[14],p=t[15],x=a[0],y=a[1],q=a[2],g=a[3],_=a[4],A=a[5],w=a[6],R=a[7],z=a[8],O=a[9],j=a[10],P=a[11],S=a[12],E=a[13],T=a[14],D=a[15];return 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r=t[0],u=t[1],e=t[2],o=t[3],i=t[4],h=t[5],c=t[6],s=t[7],M=a[0],f=a[1],l=a[2],v=a[3],b=a[4],m=a[5],d=a[6],p=a[7];return Math.abs(r-M)<=n*Math.max(1,Math.abs(r),Math.abs(M))&&Math.abs(u-f)<=n*Math.max(1,Math.abs(u),Math.abs(f))&&Math.abs(e-l)<=n*Math.max(1,Math.abs(e),Math.abs(l))&&Math.abs(o-v)<=n*Math.max(1,Math.abs(o),Math.abs(v))&&Math.abs(i-b)<=n*Math.max(1,Math.abs(i),Math.abs(b))&&Math.abs(h-m)<=n*Math.max(1,Math.abs(h),Math.abs(m))&&Math.abs(c-d)<=n*Math.max(1,Math.abs(c),Math.abs(d))&&Math.abs(s-p)<=n*Math.max(1,Math.abs(s),Math.abs(p))}});function zn(){var t=new a(2);return a!=Float32Array&&(t[0]=0,t[1]=0),t}function On(t,n,a){return t[0]=n[0]-a[0],t[1]=n[1]-a[1],t}function jn(t,n,a){return t[0]=n[0]*a[0],t[1]=n[1]*a[1],t}function Pn(t,n,a){return t[0]=n[0]/a[0],t[1]=n[1]/a[1],t}function Sn(t,n){var a=n[0]-t[0],r=n[1]-t[1];return Math.hypot(a,r)}function En(t,n){var a=n[0]-t[0],r=n[1]-t[1];return a*a+r*r}function Tn(t){var n=t[0],a=t[1];return Math.hypot(n,a)}function Dn(t){var n=t[0],a=t[1];return n*n+a*a}var Fn=Tn,In=On,Ln=jn,Vn=Pn,Qn=Sn,Yn=En,Zn=Dn,Xn=function(){var t=zn();return function(n,a,r,u,e,o){var i,h;for(a||(a=2),r||(r=0),h=u?Math.min(u*a+r,n.length):n.length,i=r;i<h;i+=a)t[0]=n[i],t[1]=n[i+1],e(t,t,o),n[i]=t[0],n[i+1]=t[1];return n}}(),Nn=Object.freeze({__proto__:null,create:zn,clone:function(t){var n=new a(2);return n[0]=t[0],n[1]=t[1],n},fromValues:function(t,n){var r=new a(2);return r[0]=t,r[1]=n,r},copy:function(t,n){return t[0]=n[0],t[1]=n[1],t},set:function(t,n,a){return t[0]=n,t[1]=a,t},add:function(t,n,a){return t[0]=n[0]+a[0],t[1]=n[1]+a[1],t},subtract:On,multiply:jn,divide:Pn,ceil:function(t,n){return t[0]=Math.ceil(n[0]),t[1]=Math.ceil(n[1]),t},floor:function(t,n){return t[0]=Math.floor(n[0]),t[1]=Math.floor(n[1]),t},min:function(t,n,a){return t[0]=Math.min(n[0],a[0]),t[1]=Math.min(n[1],a[1]),t},max:function(t,n,a){return t[0]=Math.max(n[0],a[0]),t[1]=Math.max(n[1],a[1]),t},round:function(t,n){return t[0]=Math.round(n[0]),t[1]=Math.round(n[1]),t},scale:function(t,n,a){return t[0]=n[0]*a,t[1]=n[1]*a,t},scaleAndAdd:function(t,n,a,r){return t[0]=n[0]+a[0]*r,t[1]=n[1]+a[1]*r,t},distance:Sn,squaredDistance:En,length:Tn,squaredLength:Dn,negate:function(t,n){return t[0]=-n[0],t[1]=-n[1],t},inverse:function(t,n){return t[0]=1/n[0],t[1]=1/n[1],t},normalize:function(t,n){var a=n[0],r=n[1],u=a*a+r*r;return u>0&&(u=1/Math.sqrt(u)),t[0]=n[0]*u,t[1]=n[1]*u,t},dot:function(t,n){return t[0]*n[0]+t[1]*n[1]},cross:function(t,n,a){var r=n[0]*a[1]-n[1]*a[0];return t[0]=t[1]=0,t[2]=r,t},lerp:function(t,n,a,r){var u=n[0],e=n[1];return t[0]=u+r*(a[0]-u),t[1]=e+r*(a[1]-e),t},random:function(t,n){n=n||1;var a=2*r()*Math.PI;return t[0]=Math.cos(a)*n,t[1]=Math.sin(a)*n,t},transformMat2:function(t,n,a){var r=n[0],u=n[1];return t[0]=a[0]*r+a[2]*u,t[1]=a[1]*r+a[3]*u,t},transformMat2d:function(t,n,a){var r=n[0],u=n[1];return t[0]=a[0]*r+a[2]*u+a[4],t[1]=a[1]*r+a[3]*u+a[5],t},transformMat3:function(t,n,a){var r=n[0],u=n[1];return t[0]=a[0]*r+a[3]*u+a[6],t[1]=a[1]*r+a[4]*u+a[7],t},transformMat4:function(t,n,a){var r=n[0],u=n[1];return t[0]=a[0]*r+a[4]*u+a[12],t[1]=a[1]*r+a[5]*u+a[13],t},rotate:function(t,n,a,r){var u=n[0]-a[0],e=n[1]-a[1],o=Math.sin(r),i=Math.cos(r);return t[0]=u*i-e*o+a[0],t[1]=u*o+e*i+a[1],t},angle:function(t,n){var a=t[0],r=t[1],u=n[0],e=n[1],o=Math.sqrt(a*a+r*r)*Math.sqrt(u*u+e*e),i=o&&(a*u+r*e)/o;return Math.acos(Math.min(Math.max(i,-1),1))},zero:function(t){return t[0]=0,t[1]=0,t},str:function(t){return"vec2("+t[0]+", "+t[1]+")"},exactEquals:function(t,n){return t[0]===n[0]&&t[1]===n[1]},equals:function(t,a){var r=t[0],u=t[1],e=a[0],o=a[1];return Math.abs(r-e)<=n*Math.max(1,Math.abs(r),Math.abs(e))&&Math.abs(u-o)<=n*Math.max(1,Math.abs(u),Math.abs(o))},len:Fn,sub:In,mul:Ln,div:Vn,dist:Qn,sqrDist:Yn,sqrLen:Zn,forEach:Xn});t.glMatrix=e,t.mat2=s,t.mat2d=b,t.mat3=q,t.mat4=F,t.quat=vn,t.quat2=Rn,t.vec2=Nn,t.vec3=rt,t.vec4=St,Object.defineProperty(t,"__esModule",{value:!0})}));

3

dist/package.json
{
"version": "3.4.1",
"version": "3.4.2",
"name": "gl-matrix",

@@ -8,3 +8,2 @@ "description": "Javascript Matrix and Vector library for High Performance WebGL apps",

"module": "esm/index.js",
"types": "dist/index.d.ts",
"homepage": "http://glmatrix.net",

@@ -11,0 +10,0 @@ "license": "MIT",

32

package.json
{
"version": "3.4.1",
"version": "3.4.2",
"name": "gl-matrix",

@@ -8,3 +8,2 @@ "description": "Javascript Matrix and Vector library for High Performance WebGL apps",

"module": "dist/esm/index.js",
"types": "dist/index.d.ts",
"homepage": "http://glmatrix.net",

@@ -31,2 +30,3 @@ "license": "MIT",

"test": "mocha --require @babel/register --recursive spec",
"old_test": "jasmine-node spec",
"doc": "jsdoc -c jsdoc.config.json",

@@ -42,17 +42,17 @@ "update-license-version": "node utils/update-license-version.js",

"devDependencies": {
"@babel/cli": "^7.8.4",
"@babel/core": "^7.9.0",
"@babel/preset-env": "^7.9.0",
"@babel/register": "^7.9.0",
"cross-env": "^7.0.2",
"del-cli": "^3.0.0",
"jsdoc": "^3.6.3",
"mocha": "^7.1.1",
"node-libs-browser": "^2.2.1",
"rollup": "^2.3.2",
"rollup-plugin-babel": "^4.4.0",
"rollup-plugin-size-snapshot": "^0.11.0",
"rollup-plugin-terser": "^5.3.0",
"typescript": "^3.8.3"
"@babel/cli": "7.8.4",
"@babel/core": "7.9.0",
"@babel/preset-env": "7.9.0",
"@babel/register": "7.9.0",
"cross-env": "7.0.2",
"del-cli": "3.0.0",
"jsdoc": "3.6.3",
"mocha": "7.1.1",
"node-libs-browser": "2.2.1",
"rollup": "2.3.2",
"rollup-plugin-babel": "4.4.0",
"rollup-plugin-size-snapshot": "0.11.0",
"rollup-plugin-terser": "5.3.0",
"typescript": "3.8.3"
}
}

92

spec/gl-matrix/mat4-spec.js

@@ -628,94 +628,2 @@ import * as glMatrix from "../../src/common"

let out_t, out_s;
describe("decompose", function() {
describe("from the identity matrix", function() {
beforeEach(function() {
result = quat.fromValues(1, 2, 3, 4);
out_t = vec3.fromValues(7, 8, 9);
out_s = vec3.fromValues(4, 5, 6);
out = quat.fromValues(1, 2, 3, 4);
result = mat4.decompose(out, out_t, out_s, identity);
});
it("should place result both in result and out", function() { expect(result).toBe(out); });
it("should return the unit quaternion", function() {
let unitQuat = quat.create();
quat.identity(unitQuat);
expect(result).toBeEqualish(unitQuat);
});
it("out_s should be the identity vector", function() { expect(out_s).toBeEqualish([1, 1, 1]); });
it("out_t should be the zero vector", function() { expect(out_t).toBeEqualish([0, 0, 0]); });
});
describe("from a translation-only matrix", function() {
beforeEach(function() {
result = quat.fromValues(1, 2, 3, 4);
out_t = vec3.fromValues(7, 8, 9);
out_s = vec3.fromValues(4, 5, 6);
out = quat.fromValues(1, 2, 3, 4);
result = mat4.decompose(out, out_t, out_s, matB);
});
it("should return the unit quaternion", function() {
let unitQuat = quat.create();
quat.identity(unitQuat);
expect(result).toBeEqualish(unitQuat);
});
it("out_s should be the identity vector", function() { expect(out_s).toBeEqualish([1, 1, 1]); });
it("out_t should be translation vector", function() { expect(out_t).toBeEqualish([4, 5, 6]); });
});
describe("from a scale-only matrix", function() {
beforeEach(function() {
let v = vec3.fromValues(4, 5, 6);
result = vec3.fromValues(1, 2, 3)
out_t = vec3.fromValues(7, 8, 9);
out_s = vec3.fromValues(1, 2, 3);
out = quat.fromValues(1, 2, 3, 4);
mat4.fromScaling(matA, v);
result = mat4.decompose(out, out_t, out_s, matA);
});
it("out_s should be translation vector", function() { expect(out_s).toBeEqualish([4, 5, 6]); });
});
describe("from a translation and rotation matrix", function() {
it("should keep the same rotation and translation as when created", function() {
let q = quat.create();
let outVec = vec3.fromValues(5, 6, 7);
let testVec = vec3.fromValues(1, 5, 2);
let ang = 0.78972;
vec3.normalize(testVec, testVec);
q = quat.setAxisAngle(q, testVec, ang);
mat4.fromRotationTranslation(out, q, outVec);
result = quat.fromValues(2, 3, 4, 6);
out_t = vec3.fromValues(7, 8, 9);
out_s = vec3.fromValues(4, 5, 6);
mat4.decompose(result, out_t, out_s, out);
let outaxis = vec3.create();
let outangle = quat.getAxisAngle(outaxis, result);
expect(outaxis).toBeEqualish(testVec);
expect(outangle).toBeEqualish(ang);
expect(out_t).toBeEqualish(outVec);
});
});
describe("from a translation, rotation and scale matrix", function() {
beforeEach(function() {
let q = quat.create();
let t = vec3.fromValues(1, 2, 3);
let s = vec3.fromValues(5, 6, 7);
q = quat.setAxisAngle(q, [0, 1, 0], 0.7);
mat4.fromRotationTranslationScale(out, q, t, s);
out_t = vec3.fromValues(7, 8, 9);
out_s = vec3.fromValues(4, 5, 6);
result = quat.fromValues(2, 3, 4, 6);
mat4.decompose(result, out_t, out_s, out);
})
it("should return the same scaling factor when created", function() { expect(out_s).toBeEqualish([5, 6, 7]); });
it("should return the same translation when created", function() { expect(out_t).toBeEqualish([1, 2, 3]); });
});
});
describe("frustum", function() {

@@ -722,0 +630,0 @@ beforeEach(function() { result = mat4.frustum(out, -1, 1, -1, 1, -1, 1); });

51

spec/gl-matrix/quat-spec.js

@@ -255,7 +255,7 @@ import * as mat3 from "../../src/mat3"

beforeEach(function() {
result = quat.fromEuler(out, -30, 30, 30);
result = quat.fromEuler(out, -90, 0, 0);
});
it("should set dest to the correct value", function() {
expect(result).toBeEqualish([-0.3061862, 0.1767767, 0.3061862, 0.8838835]);
expect(result).toBeEqualish([-0.707106, 0, 0, 0.707106]);
});

@@ -275,34 +275,2 @@ });

});
describe("order argument", function () {
it("should use ZYX order as the default", function () {
result = quat.fromEuler(out, -30, 30, 30);
expect(result).toBeEqualish(quat.fromEuler(quat.create(), -30, 30, 30, 'zyx'));
});
it("should apply in XYZ order properly", function () {
result = quat.fromEuler(out, -30, 30, 30, 'xyz');
expect(result).toBeEqualish([-0.1767767, 0.3061862, 0.1767767, 0.9185587]);
});
it("should apply in XZY order properly", function () {
result = quat.fromEuler(out, -30, 30, 30, 'xzy');
expect(result).toBeEqualish([-0.3061862, 0.3061862, 0.1767767, 0.8838835]);
});
it("should apply in YXZ order properly", function () {
result = quat.fromEuler(out, -30, 30, 30, 'yxz');
expect(result).toBeEqualish([-0.1767767, 0.3061862, 0.3061862, 0.8838835]);
});
it("should apply in YZX order properly", function () {
result = quat.fromEuler(out, -30, 30, 30, 'yzx');
expect(result).toBeEqualish([-0.1767767, 0.1767767, 0.3061862, 0.9185587]);
});
it("should apply in ZXY order properly", function () {
result = quat.fromEuler(out, -30, 30, 30, 'zxy');
expect(result).toBeEqualish([-0.3061862, 0.1767767, 0.1767767, 0.9185587]);
});
});
});

@@ -781,13 +749,11 @@

describe("equals", function() {
let quatC, quatD, quatE, r0, r1, r2, r3;
let quatC, quatD, r0, r1, r2;
beforeEach(function() {
quatA = [0, 0, 0, 1];
quatB = [0, 0, 0, 1];
quatC = [0, 1, 0, 0];
quatA = [0, 1, 2, 3];
quatB = [0, 1, 2, 3];
quatC = [1, 2, 3, 4];
quatD = [1e-16, 1, 2, 3];
quatE = [0, -1, 0, 0];
r0 = quat.equals(quatA, quatB);
r1 = quat.equals(quatA, quatC);
r2 = quat.equals(quatA, quatD);
r3 = quat.equals(quatC, quatE);
});

@@ -797,6 +763,5 @@ it("should return true for identical quaternions", function() { expect(r0).toBe(true); });

it("should return true for close but not identical quaternions", function() { expect(r2).toBe(true); });
it("should return true for identical quaternions with flipped orientation", function() { expect(r3).toBe(true); });
it("should not modify quatA", function() { expect(quatA).toBeEqualish([0, 0, 0, 1]); });
it("should not modify quatB", function() { expect(quatB).toBeEqualish([0, 0, 0, 1]); });
it("should not modify quatA", function() { expect(quatA).toBeEqualish([0, 1, 2, 3]); });
it("should not modify quatB", function() { expect(quatB).toBeEqualish([0, 1, 2, 3]); });
});
});

15

spec/gl-matrix/vec3-spec.js

@@ -579,17 +579,2 @@ import * as mat3 from "../../src/mat3"

describe('slerp', function() {
it('should compute the correct value at 0', () => {
let result = vec3.slerp([], [1,0,0], [0,1,0], 0);
expect(result).toBeEqualish([1,0,0]);
});
it('should compute the correct value at 1', () => {
let result = vec3.slerp([], [1,0,0], [0,1,0], 1);
expect(result).toBeEqualish([0,1,0]);
});
it('should compute the correct value at 0.5', () => {
let result = vec3.slerp([], [1,0,0], [0,1,0], 0.5);
expect(result).toBeEqualish([0.7071067811865475,0.7071067811865475,0]);
});
});
describe("random", function() {

@@ -596,0 +581,0 @@ describe("with no scale", function() {

20

src/common.js

@@ -8,6 +8,4 @@ /**

export const EPSILON = 0.000001;
export let ARRAY_TYPE =
typeof Float32Array !== "undefined" ? Float32Array : Array;
export let RANDOM = Math.random;
export let ANGLE_ORDER = "zyx";
export let ARRAY_TYPE = (typeof Float32Array !== 'undefined') ? Float32Array : Array;
export const RANDOM = Math.random;

@@ -44,11 +42,9 @@ /**

export function equals(a, b) {
return Math.abs(a - b) <= EPSILON * Math.max(1.0, Math.abs(a), Math.abs(b));
return Math.abs(a - b) <= EPSILON*Math.max(1.0, Math.abs(a), Math.abs(b));
}
if (!Math.hypot)
Math.hypot = function () {
var y = 0,
i = arguments.length;
while (i--) y += arguments[i] * arguments[i];
return Math.sqrt(y);
};
if (!Math.hypot) Math.hypot = function() {
var y = 0, i = arguments.length;
while (i--) y += arguments[i] * arguments[i];
return Math.sqrt(y);
};

2

src/mat2.js

@@ -165,3 +165,3 @@ import * as glMatrix from "./common.js";

export function adjoint(out, a) {
// Caching this value is necessary if out == a
// Caching this value is nessecary if out == a
let a0 = a[0];

@@ -168,0 +168,0 @@ out[0] = a[3];

221

src/mat4.js

@@ -378,31 +378,74 @@ import * as glMatrix from "./common.js";

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;
out[0] = a11 * b11 - a12 * b10 + a13 * b09;
out[1] = a02 * b10 - a01 * b11 - a03 * b09;
out[2] = a31 * b05 - a32 * b04 + a33 * b03;
out[3] = a22 * b04 - a21 * b05 - a23 * b03;
out[4] = a12 * b08 - a10 * b11 - a13 * b07;
out[5] = a00 * b11 - a02 * b08 + a03 * b07;
out[6] = a32 * b02 - a30 * b05 - a33 * b01;
out[7] = a20 * b05 - a22 * b02 + a23 * b01;
out[8] = a10 * b10 - a11 * b08 + a13 * b06;
out[9] = a01 * b08 - a00 * b10 - a03 * b06;
out[10] = a30 * b04 - a31 * b02 + a33 * b00;
out[11] = a21 * b02 - a20 * b04 - a23 * b00;
out[12] = a11 * b07 - a10 * b09 - a12 * b06;
out[13] = a00 * b09 - a01 * b07 + a02 * b06;
out[14] = a31 * b01 - a30 * b03 - a32 * b00;
out[15] = a20 * b03 - a21 * b01 + a22 * b00;
out[0] =
a11 * (a22 * a33 - a23 * a32) -
a21 * (a12 * a33 - a13 * a32) +
a31 * (a12 * a23 - a13 * a22);
out[1] = -(
a01 * (a22 * a33 - a23 * a32) -
a21 * (a02 * a33 - a03 * a32) +
a31 * (a02 * a23 - a03 * a22)
);
out[2] =
a01 * (a12 * a33 - a13 * a32) -
a11 * (a02 * a33 - a03 * a32) +
a31 * (a02 * a13 - a03 * a12);
out[3] = -(
a01 * (a12 * a23 - a13 * a22) -
a11 * (a02 * a23 - a03 * a22) +
a21 * (a02 * a13 - a03 * a12)
);
out[4] = -(
a10 * (a22 * a33 - a23 * a32) -
a20 * (a12 * a33 - a13 * a32) +
a30 * (a12 * a23 - a13 * a22)
);
out[5] =
a00 * (a22 * a33 - a23 * a32) -
a20 * (a02 * a33 - a03 * a32) +
a30 * (a02 * a23 - a03 * a22);
out[6] = -(
a00 * (a12 * a33 - a13 * a32) -
a10 * (a02 * a33 - a03 * a32) +
a30 * (a02 * a13 - a03 * a12)
);
out[7] =
a00 * (a12 * a23 - a13 * a22) -
a10 * (a02 * a23 - a03 * a22) +
a20 * (a02 * a13 - a03 * a12);
out[8] =
a10 * (a21 * a33 - a23 * a31) -
a20 * (a11 * a33 - a13 * a31) +
a30 * (a11 * a23 - a13 * a21);
out[9] = -(
a00 * (a21 * a33 - a23 * a31) -
a20 * (a01 * a33 - a03 * a31) +
a30 * (a01 * a23 - a03 * a21)
);
out[10] =
a00 * (a11 * a33 - a13 * a31) -
a10 * (a01 * a33 - a03 * a31) +
a30 * (a01 * a13 - a03 * a11);
out[11] = -(
a00 * (a11 * a23 - a13 * a21) -
a10 * (a01 * a23 - a03 * a21) +
a20 * (a01 * a13 - a03 * a11)
);
out[12] = -(
a10 * (a21 * a32 - a22 * a31) -
a20 * (a11 * a32 - a12 * a31) +
a30 * (a11 * a22 - a12 * a21)
);
out[13] =
a00 * (a21 * a32 - a22 * a31) -
a20 * (a01 * a32 - a02 * a31) +
a30 * (a01 * a22 - a02 * a21);
out[14] = -(
a00 * (a11 * a32 - a12 * a31) -
a10 * (a01 * a32 - a02 * a31) +
a30 * (a01 * a12 - a02 * a11)
);
out[15] =
a00 * (a11 * a22 - a12 * a21) -
a10 * (a01 * a22 - a02 * a21) +
a20 * (a01 * a12 - a02 * a11);
return out;

@@ -435,15 +478,17 @@ }

let b0 = a00 * a11 - a01 * a10;
let b1 = a00 * a12 - a02 * a10;
let b2 = a01 * a12 - a02 * a11;
let b3 = a20 * a31 - a21 * a30;
let b4 = a20 * a32 - a22 * a30;
let b5 = a21 * a32 - a22 * a31;
let b6 = a00 * b5 - a01 * b4 + a02 * b3;
let b7 = a10 * b5 - a11 * b4 + a12 * b3;
let b8 = a20 * b2 - a21 * b1 + a22 * b0;
let b9 = a30 * b2 - a31 * b1 + a32 * b0;
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
return a13 * b6 - a03 * b7 + a33 * b8 - a23 * b9;
return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
}

@@ -1232,76 +1277,2 @@

/**
* Decomposes a transformation matrix into its rotation, translation
* and scale components. Returns only the rotation component
* @param {quat} out_r Quaternion to receive the rotation component
* @param {vec3} out_t Vector to receive the translation vector
* @param {vec3} out_s Vector to receive the scaling factor
* @param {ReadonlyMat4} mat Matrix to be decomposed (input)
* @returns {quat} out_r
*/
export function decompose(out_r, out_t, out_s, mat) {
out_t[0] = mat[12];
out_t[1] = mat[13];
out_t[2] = mat[14];
let m11 = mat[0];
let m12 = mat[1];
let m13 = mat[2];
let m21 = mat[4];
let m22 = mat[5];
let m23 = mat[6];
let m31 = mat[8];
let m32 = mat[9];
let m33 = mat[10];
out_s[0] = Math.hypot(m11, m12, m13);
out_s[1] = Math.hypot(m21, m22, m23);
out_s[2] = Math.hypot(m31, m32, m33);
let is1 = 1 / out_s[0];
let is2 = 1 / out_s[1];
let is3 = 1 / out_s[2];
let sm11 = m11 * is1;
let sm12 = m12 * is2;
let sm13 = m13 * is3;
let sm21 = m21 * is1;
let sm22 = m22 * is2;
let sm23 = m23 * is3;
let sm31 = m31 * is1;
let sm32 = m32 * is2;
let sm33 = m33 * is3;
let trace = sm11 + sm22 + sm33;
let S = 0;
if (trace > 0) {
S = Math.sqrt(trace + 1.0) * 2;
out_r[3] = 0.25 * S;
out_r[0] = (sm23 - sm32) / S;
out_r[1] = (sm31 - sm13) / S;
out_r[2] = (sm12 - sm21) / S;
} else if (sm11 > sm22 && sm11 > sm33) {
S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;
out_r[3] = (sm23 - sm32) / S;
out_r[0] = 0.25 * S;
out_r[1] = (sm12 + sm21) / S;
out_r[2] = (sm31 + sm13) / S;
} else if (sm22 > sm33) {
S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;
out_r[3] = (sm31 - sm13) / S;
out_r[0] = (sm12 + sm21) / S;
out_r[1] = 0.25 * S;
out_r[2] = (sm23 + sm32) / S;
} else {
S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;
out_r[3] = (sm12 - sm21) / S;
out_r[0] = (sm31 + sm13) / S;
out_r[1] = (sm23 + sm32) / S;
out_r[2] = 0.25 * S;
}
return out_r;
}
/**
* Creates a matrix from a quaternion rotation, vector translation and vector scale

@@ -1543,3 +1514,4 @@ * This is equivalent to (but much faster than):

export function perspectiveNO(out, fovy, aspect, near, far) {
const f = 1.0 / Math.tan(fovy / 2);
let f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1560,3 +1532,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
const nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = (far + near) * nf;

@@ -1591,3 +1563,4 @@ out[14] = 2 * far * near * nf;

export function perspectiveZO(out, fovy, aspect, near, far) {
const f = 1.0 / Math.tan(fovy / 2);
let f = 1.0 / Math.tan(fovy / 2),
nf;
out[0] = f / aspect;

@@ -1608,3 +1581,3 @@ out[1] = 0;

if (far != null && far !== Infinity) {
const nf = 1 / (near - far);
nf = 1 / (near - far);
out[10] = far * nf;

@@ -1672,5 +1645,5 @@ out[14] = far * near * nf;

export function orthoNO(out, left, right, bottom, top, near, far) {
const lr = 1 / (left - right);
const bt = 1 / (bottom - top);
const nf = 1 / (near - far);
let lr = 1 / (left - right);
let bt = 1 / (bottom - top);
let nf = 1 / (near - far);
out[0] = -2 * lr;

@@ -1716,5 +1689,5 @@ out[1] = 0;

export function orthoZO(out, left, right, bottom, top, near, far) {
const lr = 1 / (left - right);
const bt = 1 / (bottom - top);
const nf = 1 / (near - far);
let lr = 1 / (left - right);
let bt = 1 / (bottom - top);
let nf = 1 / (near - far);
out[0] = -2 * lr;

@@ -1721,0 +1694,0 @@ out[1] = 0;

95

src/quat.js

@@ -7,3 +7,3 @@ import * as glMatrix from "./common.js";

/**
* Quaternion in the format XYZW
* Quaternion
* @module quat

@@ -451,17 +451,16 @@ */

/**
* Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.
* Creates a quaternion from the given euler angle x, y, z.
*
* @param {quat} out the receiving quaternion
* @param {x} x Angle to rotate around X axis in degrees.
* @param {y} y Angle to rotate around Y axis in degrees.
* @param {z} z Angle to rotate around Z axis in degrees.
* @param {'zyx'|'xyz'|'yxz'|'yzx'|'zxy'|'zyx'} order Intrinsic order for conversion, default is zyx.
* @param {x} Angle to rotate around X axis in degrees.
* @param {y} Angle to rotate around Y axis in degrees.
* @param {z} Angle to rotate around Z axis in degrees.
* @returns {quat} out
* @function
*/
export function fromEuler(out, x, y, z, order = glMatrix.ANGLE_ORDER) {
let halfToRad = Math.PI / 360;
export function fromEuler(out, x, y, z) {
let halfToRad = (0.5 * Math.PI) / 180.0;
x *= halfToRad;
y *= halfToRad;
z *= halfToRad;
y *= halfToRad;

@@ -475,49 +474,7 @@ let sx = Math.sin(x);

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;
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;
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;

@@ -527,3 +484,3 @@ }

/**
* Returns a string representation of a quaternion
* Returns a string representation of a quatenion
*

@@ -680,13 +637,9 @@ * @param {ReadonlyQuat} a vector to represent as a string

/**
* Returns whether or not the quaternions point approximately to the same direction.
* Returns whether or not the quaternions have approximately the same elements in the same position.
*
* Both quaternions are assumed to be unit length.
*
* @param {ReadonlyQuat} a The first unit quaternion.
* @param {ReadonlyQuat} b The second unit quaternion.
* @returns {Boolean} True if the quaternions are equal, false otherwise.
* @param {ReadonlyQuat} a The first vector.
* @param {ReadonlyQuat} b The second vector.
* @returns {Boolean} True if the vectors are equal, false otherwise.
*/
export function equals(a, b) {
return Math.abs(vec4.dot(a, b)) >= 1 - glMatrix.EPSILON;
}
export const equals = vec4.equals;

@@ -704,3 +657,3 @@ /**

*/
export const rotationTo = (function () {
export const rotationTo = (function() {
let tmpvec3 = vec3.create();

@@ -710,3 +663,3 @@ let xUnitVec3 = vec3.fromValues(1, 0, 0);

return function (out, a, b) {
return function(out, a, b) {
let dot = vec3.dot(a, b);

@@ -747,7 +700,7 @@ if (dot < -0.999999) {

*/
export const sqlerp = (function () {
export const sqlerp = (function() {
let temp1 = create();
let temp2 = create();
return function (out, a, b, c, d, t) {
return function(out, a, b, c, d, t) {
slerp(temp1, a, d, t);

@@ -771,6 +724,6 @@ slerp(temp2, b, c, t);

*/
export const setAxes = (function () {
export const setAxes = (function() {
let matr = mat3.create();
return function (out, view, right, up) {
return function(out, view, right, up) {
matr[0] = right[0];

@@ -777,0 +730,0 @@ matr[3] = right[1];

4

src/quat2.js

@@ -114,3 +114,3 @@ import * as glMatrix from "./common.js";

* @param {ReadonlyQuat} q a normalized quaternion
* @param {ReadonlyVec3} t translation vector
* @param {ReadonlyVec3} t tranlation vector
* @returns {quat2} dual quaternion receiving operation result

@@ -832,3 +832,3 @@ * @function

/**
* Returns a string representation of a dual quaternion
* Returns a string representation of a dual quatenion
*

@@ -835,0 +835,0 @@ * @param {ReadonlyQuat2} a dual quaternion to represent as a string

41

src/types.d.ts

@@ -1,6 +0,1 @@

interface IndexedCollection extends Iterable<number> {
readonly length: number;
[index: number]: number;
}
// prettier-ignore

@@ -10,3 +5,3 @@ declare type mat2 =

number, number]
| IndexedCollection;
| Float32Array;

@@ -18,3 +13,3 @@ // prettier-ignore

number, number]
| IndexedCollection;
| Float32Array;

@@ -26,3 +21,3 @@ // prettier-ignore

number, number, number]
| IndexedCollection;
| Float32Array;

@@ -35,5 +30,5 @@ // prettier-ignore

number, number, number, number]
| IndexedCollection;
| Float32Array;
declare type quat = [number, number, number, number] | IndexedCollection;
declare type quat = [number, number, number, number] | Float32Array;

@@ -44,7 +39,7 @@ // prettier-ignore

number, number, number, number]
| IndexedCollection;
| Float32Array;
declare type vec2 = [number, number] | IndexedCollection;
declare type vec3 = [number, number, number] | IndexedCollection;
declare type vec4 = [number, number, number, number] | IndexedCollection;
declare type vec2 = [number, number] | Float32Array;
declare type vec3 = [number, number, number] | Float32Array;
declare type vec4 = [number, number, number, number] | Float32Array;

@@ -57,3 +52,3 @@ // prettier-ignore

]
| IndexedCollection;
| Float32Array;

@@ -67,3 +62,3 @@ // prettier-ignore

]
| IndexedCollection;
| Float32Array;

@@ -77,3 +72,3 @@ // prettier-ignore

]
| IndexedCollection;
| Float32Array;

@@ -88,16 +83,16 @@ // prettier-ignore

]
| IndexedCollection;
| Float32Array;
declare type ReadonlyQuat =
| readonly [number, number, number, number]
| IndexedCollection;
| Float32Array;
declare type ReadonlyQuat2 =
| readonly [number, number, number, number, number, number, number, number]
| IndexedCollection;
| Float32Array;
declare type ReadonlyVec2 = readonly [number, number] | IndexedCollection;
declare type ReadonlyVec3 = readonly [number, number, number] | IndexedCollection;
declare type ReadonlyVec2 = readonly [number, number] | Float32Array;
declare type ReadonlyVec3 = readonly [number, number, number] | Float32Array;
declare type ReadonlyVec4 =
| readonly [number, number, number, number]
| IndexedCollection;
| Float32Array;

4

src/vec2.js

@@ -372,3 +372,3 @@ import * as glMatrix from "./common.js";

* @param {vec2} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec2} out

@@ -485,3 +485,3 @@ */

// mag is the product of the magnitudes of a and b
mag = Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)),
mag = Math.sqrt(x1 * x1 + y1 * y1) * Math.sqrt(x2 * x2 + y2 * y2),
// mag &&.. short circuits if mag == 0

@@ -488,0 +488,0 @@ cosine = mag && (x1 * x2 + y1 * y2) / mag;

32

src/vec3.js

@@ -403,24 +403,2 @@ import * as glMatrix from "./common.js";

/**
* Performs a spherical linear interpolation between two vec3's
*
* @param {vec3} out the receiving vector
* @param {ReadonlyVec3} a the first operand
* @param {ReadonlyVec3} b the second operand
* @param {Number} t interpolation amount, in the range [0-1], between the two inputs
* @returns {vec3} out
*/
export function slerp(out, a, b, t) {
let angle = Math.acos(Math.min(Math.max(dot(a, b), -1), 1));
let sinTotal = Math.sin(angle);
let ratioA = Math.sin((1 - t) * angle) / sinTotal;
let ratioB = Math.sin(t * angle) / sinTotal;
out[0] = ratioA * a[0] + ratioB * b[0];
out[1] = ratioA * a[1] + ratioB * b[1];
out[2] = ratioA * a[2] + ratioB * b[2];
return out;
}
/**
* Performs a hermite interpolation with two control points

@@ -481,3 +459,3 @@ *

* @param {vec3} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec3} out

@@ -680,3 +658,5 @@ */

bz = b[2],
mag = Math.sqrt((ax * ax + ay * ay + az * az) * (bx * bx + by * by + bz * bz)),
mag1 = Math.sqrt(ax * ax + ay * ay + az * az),
mag2 = Math.sqrt(bx * bx + by * by + bz * bz),
mag = mag1 * mag2,
cosine = mag && dot(a, b) / mag;

@@ -798,6 +778,6 @@ return Math.acos(Math.min(Math.max(cosine, -1), 1));

*/
export const forEach = (function () {
export const forEach = (function() {
let vec = create();
return function (a, stride, offset, count, fn, arg) {
return function(a, stride, offset, count, fn, arg) {
let i, l;

@@ -804,0 +784,0 @@ if (!stride) {

2

src/vec4.js

@@ -440,3 +440,3 @@ import * as glMatrix from "./common.js";

* @param {vec4} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If omitted, a unit vector will be returned
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec4} out

@@ -443,0 +443,0 @@ */

9

TESTING.md

@@ -1,10 +0,11 @@

# Running the test suite
Running the test suite
=======================
The unit tests are built upon the following tools:
- Mocha -- the underlying test suite which executes the test and reports feedback
- node.js -- used for testing at the command line, via the `mocha` package
* Jasmine -- the underlying test suite which executes the test and reports feedback
* node.js -- used for testing at the command line, via the `jasmine-node` package
To run the unit tests run the following command:
npm run test
npm run test
.travis.yml

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dist/gl-matrix.js

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dist/index.d.ts

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index.html

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VERSION

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