@turbox3d/math
Version:
Large-scale graphics application math library
811 lines (809 loc) • 26.1 kB
JavaScript
"use strict";
var _interopRequireDefault = require("@babel/runtime/helpers/interopRequireDefault");
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.Matrix4 = void 0;
var _classCallCheck2 = _interopRequireDefault(require("@babel/runtime/helpers/classCallCheck"));
var _createClass2 = _interopRequireDefault(require("@babel/runtime/helpers/createClass"));
var _MathUtils = require("../MathUtils");
var _Vector = require("./Vector3");
/* eslint-disable function-call-argument-newline */
var _v1 = new _Vector.Vector3();
var _zero = new _Vector.Vector3(0, 0, 0);
var _one = new _Vector.Vector3(1, 1, 1);
var _x = new _Vector.Vector3();
var _y = new _Vector.Vector3();
var _z = new _Vector.Vector3();
var Matrix4 = exports.Matrix4 = /*#__PURE__*/function () {
function Matrix4() {
(0, _classCallCheck2["default"])(this, Matrix4);
this.isMatrix4 = true;
this.elements = [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1];
if (arguments.length > 0) {
console.error('THREE.Matrix4: the constructor no longer reads arguments. use .set() instead.');
}
}
return (0, _createClass2["default"])(Matrix4, [{
key: "set",
value: function set(n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44) {
var te = this.elements;
te[0] = n11;
te[4] = n12;
te[8] = n13;
te[12] = n14;
te[1] = n21;
te[5] = n22;
te[9] = n23;
te[13] = n24;
te[2] = n31;
te[6] = n32;
te[10] = n33;
te[14] = n34;
te[3] = n41;
te[7] = n42;
te[11] = n43;
te[15] = n44;
return this;
}
}, {
key: "identity",
value: function identity() {
this.set(1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "clone",
value: function clone() {
return new Matrix4().fromArray(this.elements);
}
}, {
key: "copy",
value: function copy(m) {
var te = this.elements;
var me = m.elements;
te[0] = me[0];
te[1] = me[1];
te[2] = me[2];
te[3] = me[3];
te[4] = me[4];
te[5] = me[5];
te[6] = me[6];
te[7] = me[7];
te[8] = me[8];
te[9] = me[9];
te[10] = me[10];
te[11] = me[11];
te[12] = me[12];
te[13] = me[13];
te[14] = me[14];
te[15] = me[15];
return this;
}
}, {
key: "copyPosition",
value: function copyPosition(m) {
var te = this.elements;
var me = m.elements;
te[12] = me[12];
te[13] = me[13];
te[14] = me[14];
return this;
}
}, {
key: "setFromMatrix3",
value: function setFromMatrix3(m) {
var me = m.elements;
this.set(me[0], me[3], me[6], 0, me[1], me[4], me[7], 0, me[2], me[5], me[8], 0, 0, 0, 0, 1);
return this;
}
}, {
key: "extractBasis",
value: function extractBasis(xAxis, yAxis, zAxis) {
xAxis.setFromMatrixColumn(this, 0);
yAxis.setFromMatrixColumn(this, 1);
zAxis.setFromMatrixColumn(this, 2);
return this;
}
}, {
key: "makeBasis",
value: function makeBasis(xAxis, yAxis, zAxis) {
this.set(xAxis.x, yAxis.x, zAxis.x, 0, xAxis.y, yAxis.y, zAxis.y, 0, xAxis.z, yAxis.z, zAxis.z, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "extractRotation",
value: function extractRotation(m) {
// this method does not support reflection matrices
var te = this.elements;
var me = m.elements;
var scaleX = 1 / _v1.setFromMatrixColumn(m, 0).length;
var scaleY = 1 / _v1.setFromMatrixColumn(m, 1).length;
var scaleZ = 1 / _v1.setFromMatrixColumn(m, 2).length;
te[0] = me[0] * scaleX;
te[1] = me[1] * scaleX;
te[2] = me[2] * scaleX;
te[3] = 0;
te[4] = me[4] * scaleY;
te[5] = me[5] * scaleY;
te[6] = me[6] * scaleY;
te[7] = 0;
te[8] = me[8] * scaleZ;
te[9] = me[9] * scaleZ;
te[10] = me[10] * scaleZ;
te[11] = 0;
te[12] = 0;
te[13] = 0;
te[14] = 0;
te[15] = 1;
return this;
}
}, {
key: "makeRotationFromEuler",
value: function makeRotationFromEuler(euler) {
var te = this.elements;
var x = euler.x;
var y = euler.y;
var z = euler.z;
var a = Math.cos(x);
var b = Math.sin(x);
var c = Math.cos(y);
var d = Math.sin(y);
var e = Math.cos(z);
var f = Math.sin(z);
if (euler.order === 'XYZ') {
var ae = a * e;
var af = a * f;
var be = b * e;
var bf = b * f;
te[0] = c * e;
te[4] = -c * f;
te[8] = d;
te[1] = af + be * d;
te[5] = ae - bf * d;
te[9] = -b * c;
te[2] = bf - ae * d;
te[6] = be + af * d;
te[10] = a * c;
} else if (euler.order === 'YXZ') {
var ce = c * e;
var cf = c * f;
var de = d * e;
var df = d * f;
te[0] = ce + df * b;
te[4] = de * b - cf;
te[8] = a * d;
te[1] = a * f;
te[5] = a * e;
te[9] = -b;
te[2] = cf * b - de;
te[6] = df + ce * b;
te[10] = a * c;
} else if (euler.order === 'ZXY') {
var _ce = c * e;
var _cf = c * f;
var _de = d * e;
var _df = d * f;
te[0] = _ce - _df * b;
te[4] = -a * f;
te[8] = _de + _cf * b;
te[1] = _cf + _de * b;
te[5] = a * e;
te[9] = _df - _ce * b;
te[2] = -a * d;
te[6] = b;
te[10] = a * c;
} else if (euler.order === 'ZYX') {
var _ae = a * e;
var _af = a * f;
var _be = b * e;
var _bf = b * f;
te[0] = c * e;
te[4] = _be * d - _af;
te[8] = _ae * d + _bf;
te[1] = c * f;
te[5] = _bf * d + _ae;
te[9] = _af * d - _be;
te[2] = -d;
te[6] = b * c;
te[10] = a * c;
} else if (euler.order === 'YZX') {
var ac = a * c;
var ad = a * d;
var bc = b * c;
var bd = b * d;
te[0] = c * e;
te[4] = bd - ac * f;
te[8] = bc * f + ad;
te[1] = f;
te[5] = a * e;
te[9] = -b * e;
te[2] = -d * e;
te[6] = ad * f + bc;
te[10] = ac - bd * f;
} else if (euler.order === 'XZY') {
var _ac = a * c;
var _ad = a * d;
var _bc = b * c;
var _bd = b * d;
te[0] = c * e;
te[4] = -f;
te[8] = d * e;
te[1] = _ac * f + _bd;
te[5] = a * e;
te[9] = _ad * f - _bc;
te[2] = _bc * f - _ad;
te[6] = b * e;
te[10] = _bd * f + _ac;
}
// bottom row
te[3] = 0;
te[7] = 0;
te[11] = 0;
// last column
te[12] = 0;
te[13] = 0;
te[14] = 0;
te[15] = 1;
return this;
}
}, {
key: "makeRotationFromQuaternion",
value: function makeRotationFromQuaternion(q) {
return this.compose(_zero, q, _one);
}
}, {
key: "lookAt",
value: function lookAt(eye, target, up) {
var te = this.elements;
_z.subVectors(eye, target);
if (_z.lengthSq === 0) {
// eye and target are in the same position
_z.z = 1;
}
_z.normalize();
_x.crossVectors(up, _z);
if (_x.lengthSq === 0) {
// up and z are parallel
if (Math.abs(up.z) === 1) {
_z.x += 0.0001;
} else {
_z.z += 0.0001;
}
_z.normalize();
_x.crossVectors(up, _z);
}
_x.normalize();
_y.crossVectors(_z, _x);
te[0] = _x.x;
te[4] = _y.x;
te[8] = _z.x;
te[1] = _x.y;
te[5] = _y.y;
te[9] = _z.y;
te[2] = _x.z;
te[6] = _y.z;
te[10] = _z.z;
return this;
}
}, {
key: "multiply",
value: function multiply(m) {
return this.multiplyMatrices(this, m);
}
}, {
key: "multiplied",
value: function multiplied(m) {
return new Matrix4().multiplyMatrices(this, m);
}
}, {
key: "premultiply",
value: function premultiply(m) {
return this.multiplyMatrices(m, this);
}
}, {
key: "premultiplied",
value: function premultiplied(m) {
return new Matrix4().multiplyMatrices(m, this);
}
}, {
key: "multiplyMatrices",
value: function multiplyMatrices(a, b) {
var ae = a.elements;
var be = b.elements;
var te = this.elements;
var a11 = ae[0];
var a12 = ae[4];
var a13 = ae[8];
var a14 = ae[12];
var a21 = ae[1];
var a22 = ae[5];
var a23 = ae[9];
var a24 = ae[13];
var a31 = ae[2];
var a32 = ae[6];
var a33 = ae[10];
var a34 = ae[14];
var a41 = ae[3];
var a42 = ae[7];
var a43 = ae[11];
var a44 = ae[15];
var b11 = be[0];
var b12 = be[4];
var b13 = be[8];
var b14 = be[12];
var b21 = be[1];
var b22 = be[5];
var b23 = be[9];
var b24 = be[13];
var b31 = be[2];
var b32 = be[6];
var b33 = be[10];
var b34 = be[14];
var b41 = be[3];
var b42 = be[7];
var b43 = be[11];
var b44 = be[15];
te[0] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41;
te[4] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42;
te[8] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43;
te[12] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44;
te[1] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41;
te[5] = a21 * b12 + a22 * b22 + a23 * b32 + a24 * b42;
te[9] = a21 * b13 + a22 * b23 + a23 * b33 + a24 * b43;
te[13] = a21 * b14 + a22 * b24 + a23 * b34 + a24 * b44;
te[2] = a31 * b11 + a32 * b21 + a33 * b31 + a34 * b41;
te[6] = a31 * b12 + a32 * b22 + a33 * b32 + a34 * b42;
te[10] = a31 * b13 + a32 * b23 + a33 * b33 + a34 * b43;
te[14] = a31 * b14 + a32 * b24 + a33 * b34 + a34 * b44;
te[3] = a41 * b11 + a42 * b21 + a43 * b31 + a44 * b41;
te[7] = a41 * b12 + a42 * b22 + a43 * b32 + a44 * b42;
te[11] = a41 * b13 + a42 * b23 + a43 * b33 + a44 * b43;
te[15] = a41 * b14 + a42 * b24 + a43 * b34 + a44 * b44;
return this;
}
}, {
key: "multiplyScalar",
value: function multiplyScalar(s) {
var te = this.elements;
te[0] *= s;
te[4] *= s;
te[8] *= s;
te[12] *= s;
te[1] *= s;
te[5] *= s;
te[9] *= s;
te[13] *= s;
te[2] *= s;
te[6] *= s;
te[10] *= s;
te[14] *= s;
te[3] *= s;
te[7] *= s;
te[11] *= s;
te[15] *= s;
return this;
}
}, {
key: "determinant",
value: function determinant() {
var te = this.elements;
var n11 = te[0];
var n12 = te[4];
var n13 = te[8];
var n14 = te[12];
var n21 = te[1];
var n22 = te[5];
var n23 = te[9];
var n24 = te[13];
var n31 = te[2];
var n32 = te[6];
var n33 = te[10];
var n34 = te[14];
var n41 = te[3];
var n42 = te[7];
var n43 = te[11];
var n44 = te[15];
// TODO: make this more efficient
// ( based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm )
return n41 * (+n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34) + n42 * (+n11 * n23 * n34 - n11 * n24 * n33 + n14 * n21 * n33 - n13 * n21 * n34 + n13 * n24 * n31 - n14 * n23 * n31) + n43 * (+n11 * n24 * n32 - n11 * n22 * n34 - n14 * n21 * n32 + n12 * n21 * n34 + n14 * n22 * n31 - n12 * n24 * n31) + n44 * (-n13 * n22 * n31 - n11 * n23 * n32 + n11 * n22 * n33 + n13 * n21 * n32 - n12 * n21 * n33 + n12 * n23 * n31);
}
}, {
key: "transpose",
value: function transpose() {
var te = this.elements;
var tmp;
tmp = te[1];
te[1] = te[4];
te[4] = tmp;
tmp = te[2];
te[2] = te[8];
te[8] = tmp;
tmp = te[6];
te[6] = te[9];
te[9] = tmp;
tmp = te[3];
te[3] = te[12];
te[12] = tmp;
tmp = te[7];
te[7] = te[13];
te[13] = tmp;
tmp = te[11];
te[11] = te[14];
te[14] = tmp;
return this;
}
}, {
key: "setPosition",
value: function setPosition() {
var x = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : 0;
var y = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0;
var z = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : 0;
var te = this.elements;
te[12] = x;
te[13] = y;
te[14] = z;
return this;
}
}, {
key: "invert",
value: function invert() {
// based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm
var te = this.elements;
var n11 = te[0];
var n21 = te[1];
var n31 = te[2];
var n41 = te[3];
var n12 = te[4];
var n22 = te[5];
var n32 = te[6];
var n42 = te[7];
var n13 = te[8];
var n23 = te[9];
var n33 = te[10];
var n43 = te[11];
var n14 = te[12];
var n24 = te[13];
var n34 = te[14];
var n44 = te[15];
var t11 = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44;
var t12 = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44;
var t13 = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44;
var t14 = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34;
var det = n11 * t11 + n21 * t12 + n31 * t13 + n41 * t14;
if (det === 0) return this.set(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
var detInv = 1 / det;
te[0] = t11 * detInv;
te[1] = (n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44) * detInv;
te[2] = (n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44) * detInv;
te[3] = (n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43) * detInv;
te[4] = t12 * detInv;
te[5] = (n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44) * detInv;
te[6] = (n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44) * detInv;
te[7] = (n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43) * detInv;
te[8] = t13 * detInv;
te[9] = (n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44) * detInv;
te[10] = (n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44) * detInv;
te[11] = (n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43) * detInv;
te[12] = t14 * detInv;
te[13] = (n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34) * detInv;
te[14] = (n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34) * detInv;
te[15] = (n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33) * detInv;
return this;
}
}, {
key: "inverted",
value: function inverted() {
var te = this.elements;
var n11 = te[0];
var n21 = te[1];
var n31 = te[2];
var n41 = te[3];
var n12 = te[4];
var n22 = te[5];
var n32 = te[6];
var n42 = te[7];
var n13 = te[8];
var n23 = te[9];
var n33 = te[10];
var n43 = te[11];
var n14 = te[12];
var n24 = te[13];
var n34 = te[14];
var n44 = te[15];
var t11 = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44;
var t12 = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44;
var t13 = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44;
var t14 = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34;
var det = n11 * t11 + n21 * t12 + n31 * t13 + n41 * t14;
if (det === 0) return new Matrix4();
var detInv = 1 / det;
var ne = new Array(16);
ne[0] = t11 * detInv;
ne[1] = (n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44) * detInv;
ne[2] = (n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44) * detInv;
ne[3] = (n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43) * detInv;
ne[4] = t12 * detInv;
ne[5] = (n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44) * detInv;
ne[6] = (n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44) * detInv;
ne[7] = (n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43) * detInv;
ne[8] = t13 * detInv;
ne[9] = (n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44) * detInv;
ne[10] = (n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44) * detInv;
ne[11] = (n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43) * detInv;
ne[12] = t14 * detInv;
ne[13] = (n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34) * detInv;
ne[14] = (n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34) * detInv;
ne[15] = (n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33) * detInv;
var result = new Matrix4();
result.elements = ne;
return result;
}
}, {
key: "scale",
value: function scale(v) {
var te = this.elements;
var x = v.x;
var y = v.y;
var z = v.z;
te[0] *= x;
te[4] *= y;
te[8] *= z;
te[1] *= x;
te[5] *= y;
te[9] *= z;
te[2] *= x;
te[6] *= y;
te[10] *= z;
te[3] *= x;
te[7] *= y;
te[11] *= z;
return this;
}
}, {
key: "getMaxScaleOnAxis",
value: function getMaxScaleOnAxis() {
var te = this.elements;
var scaleXSq = te[0] * te[0] + te[1] * te[1] + te[2] * te[2];
var scaleYSq = te[4] * te[4] + te[5] * te[5] + te[6] * te[6];
var scaleZSq = te[8] * te[8] + te[9] * te[9] + te[10] * te[10];
return Math.sqrt(Math.max(scaleXSq, scaleYSq, scaleZSq));
}
}, {
key: "makeTranslation",
value: function makeTranslation(x, y, z) {
this.set(1, 0, 0, x, 0, 1, 0, y, 0, 0, 1, z, 0, 0, 0, 1);
return this;
}
}, {
key: "makeRotationX",
value: function makeRotationX(theta) {
var c = Math.cos(theta);
var s = Math.sin(theta);
this.set(1, 0, 0, 0, 0, c, -s, 0, 0, s, c, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "makeRotationY",
value: function makeRotationY(theta) {
var c = Math.cos(theta);
var s = Math.sin(theta);
this.set(c, 0, s, 0, 0, 1, 0, 0, -s, 0, c, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "makeRotationZ",
value: function makeRotationZ(theta) {
var c = Math.cos(theta);
var s = Math.sin(theta);
this.set(c, -s, 0, 0, s, c, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "makeRotationAxis",
value: function makeRotationAxis(axis, angle) {
// Based on http://www.gamedev.net/reference/articles/article1199.asp
var c = Math.cos(angle);
var s = Math.sin(angle);
var t = 1 - c;
var x = axis.x;
var y = axis.y;
var z = axis.z;
var tx = t * x;
var ty = t * y;
this.set(tx * x + c, tx * y - s * z, tx * z + s * y, 0, tx * y + s * z, ty * y + c, ty * z - s * x, 0, tx * z - s * y, ty * z + s * x, t * z * z + c, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "makeScale",
value: function makeScale(x, y, z) {
this.set(x, 0, 0, 0, 0, y, 0, 0, 0, 0, z, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "makeShear",
value: function makeShear(x, y, z) {
this.set(1, y, z, 0, x, 1, z, 0, x, y, 1, 0, 0, 0, 0, 1);
return this;
}
}, {
key: "compose",
value: function compose(position, quaternion, scale) {
var te = this.elements;
var x = quaternion._x;
var y = quaternion._y;
var z = quaternion._z;
var w = quaternion._w;
var x2 = x + x;
var y2 = y + y;
var z2 = z + z;
var xx = x * x2;
var xy = x * y2;
var xz = x * z2;
var yy = y * y2;
var yz = y * z2;
var zz = z * z2;
var wx = w * x2;
var wy = w * y2;
var wz = w * z2;
var sx = scale.x;
var sy = scale.y;
var sz = scale.z;
te[0] = (1 - (yy + zz)) * sx;
te[1] = (xy + wz) * sx;
te[2] = (xz - wy) * sx;
te[3] = 0;
te[4] = (xy - wz) * sy;
te[5] = (1 - (xx + zz)) * sy;
te[6] = (yz + wx) * sy;
te[7] = 0;
te[8] = (xz + wy) * sz;
te[9] = (yz - wx) * sz;
te[10] = (1 - (xx + yy)) * sz;
te[11] = 0;
te[12] = position.x;
te[13] = position.y;
te[14] = position.z;
te[15] = 1;
return this;
}
}, {
key: "decompose",
value: function decompose(position, quaternion, scale) {
var te = this.elements;
var sx = _v1.set(te[0], te[1], te[2]).length;
var sy = _v1.set(te[4], te[5], te[6]).length;
var sz = _v1.set(te[8], te[9], te[10]).length;
// if determine is negative, we need to invert one scale
var det = this.determinant();
if (det < 0) sx = -sx;
position.x = te[12];
position.y = te[13];
position.z = te[14];
// scale the rotation part
_m1.copy(this);
var invSX = 1 / sx;
var invSY = 1 / sy;
var invSZ = 1 / sz;
_m1.elements[0] *= invSX;
_m1.elements[1] *= invSX;
_m1.elements[2] *= invSX;
_m1.elements[4] *= invSY;
_m1.elements[5] *= invSY;
_m1.elements[6] *= invSY;
_m1.elements[8] *= invSZ;
_m1.elements[9] *= invSZ;
_m1.elements[10] *= invSZ;
quaternion.setFromRotationMatrix(_m1);
scale.x = sx;
scale.y = sy;
scale.z = sz;
return this;
}
}, {
key: "makePerspective",
value: function makePerspective(left, right, top, bottom, near, far) {
if (far === undefined) {
console.warn('THREE.Matrix4: .makePerspective() has been redefined and has a new signature. Please check the docs.');
}
var te = this.elements;
var x = 2 * near / (right - left);
var y = 2 * near / (top - bottom);
var a = (right + left) / (right - left);
var b = (top + bottom) / (top - bottom);
var c = -(far + near) / (far - near);
var d = -2 * far * near / (far - near);
te[0] = x;
te[4] = 0;
te[8] = a;
te[12] = 0;
te[1] = 0;
te[5] = y;
te[9] = b;
te[13] = 0;
te[2] = 0;
te[6] = 0;
te[10] = c;
te[14] = d;
te[3] = 0;
te[7] = 0;
te[11] = -1;
te[15] = 0;
return this;
}
}, {
key: "makeOrthographic",
value: function makeOrthographic(left, right, top, bottom, near, far) {
var te = this.elements;
var w = 1.0 / (right - left);
var h = 1.0 / (top - bottom);
var p = 1.0 / (far - near);
var x = (right + left) * w;
var y = (top + bottom) * h;
var z = (far + near) * p;
te[0] = 2 * w;
te[4] = 0;
te[8] = 0;
te[12] = -x;
te[1] = 0;
te[5] = 2 * h;
te[9] = 0;
te[13] = -y;
te[2] = 0;
te[6] = 0;
te[10] = -2 * p;
te[14] = -z;
te[3] = 0;
te[7] = 0;
te[11] = 0;
te[15] = 1;
return this;
}
}, {
key: "equals",
value: function equals(matrix) {
var te = this.elements;
var me = matrix.elements;
for (var i = 0; i < 16; i++) {
if (!_MathUtils.MathUtils.isEqual(te[i], me[i])) {
return false;
}
}
return true;
}
}, {
key: "fromArray",
value: function fromArray(array) {
var offset = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0;
for (var i = 0; i < 16; i++) {
this.elements[i] = array[i + offset];
}
return this;
}
}, {
key: "toArray",
value: function toArray() {
var array = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : [];
var offset = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0;
var te = this.elements;
array[offset] = te[0];
array[offset + 1] = te[1];
array[offset + 2] = te[2];
array[offset + 3] = te[3];
array[offset + 4] = te[4];
array[offset + 5] = te[5];
array[offset + 6] = te[6];
array[offset + 7] = te[7];
array[offset + 8] = te[8];
array[offset + 9] = te[9];
array[offset + 10] = te[10];
array[offset + 11] = te[11];
array[offset + 12] = te[12];
array[offset + 13] = te[13];
array[offset + 14] = te[14];
array[offset + 15] = te[15];
return array;
}
}]);
}();
var _m1 = new Matrix4();