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@turbox3d/math

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Large-scale graphics application math library

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"use strict"; var _interopRequireDefault = require("@babel/runtime/helpers/interopRequireDefault"); Object.defineProperty(exports, "__esModule", { value: true }); exports.Vector2 = void 0; var _classCallCheck2 = _interopRequireDefault(require("@babel/runtime/helpers/classCallCheck")); var _createClass2 = _interopRequireDefault(require("@babel/runtime/helpers/createClass")); var _MathUtils = require("../MathUtils"); var _Tolerance = require("./Tolerance"); var _Vector = require("./Vector3"); var Vector2 = exports.Vector2 = /*#__PURE__*/function () { function Vector2() { var x = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : 0; var y = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0; (0, _classCallCheck2["default"])(this, Vector2); this.isVector2 = true; this.x = x; this.y = y; } return (0, _createClass2["default"])(Vector2, [{ key: "width", get: function get() { return this.x; }, set: function set(value) { this.x = value; } }, { key: "height", get: function get() { return this.y; }, set: function set(value) { this.y = value; } }, { key: "set", value: function set(x, y) { this.x = x; this.y = y; return this; } }, { key: "setScalar", value: function setScalar(scalar) { this.x = scalar; this.y = scalar; return this; } }, { key: "setX", value: function setX(x) { this.x = x; return this; } }, { key: "setY", value: function setY(y) { this.y = y; return this; } }, { key: "setComponent", value: function setComponent(index, value) { switch (index) { case 0: this.x = value; break; case 1: this.y = value; break; default: throw new Error("index is out of range: ".concat(index)); } return this; } }, { key: "getComponent", value: function getComponent(index) { switch (index) { case 0: return this.x; case 1: return this.y; default: throw new Error("index is out of range: ".concat(index)); } } }, { key: "clone", value: function clone() { return new Vector2(this.x, this.y); } }, { key: "copy", value: function copy(v) { this.x = v.x; this.y = v.y; return this; } }, { key: "add", value: function add(v) { this.x += v.x; this.y += v.y; return this; } }, { key: "added", value: function added(v) { return new Vector2(this.x + v.x, this.y + v.y); } }, { key: "addScalar", value: function addScalar(s) { this.x += s; this.y += s; return this; } }, { key: "addVectors", value: function addVectors(a, b) { this.x = a.x + b.x; this.y = a.y + b.y; return this; } }, { key: "addScaledVector", value: function addScaledVector(v, s) { this.x += v.x * s; this.y += v.y * s; return this; } }, { key: "sub", value: function sub(v) { this.x -= v.x; this.y -= v.y; return this; } }, { key: "subtracted", value: function subtracted(v) { return new Vector2(this.x - v.x, this.y - v.y); } }, { key: "subScalar", value: function subScalar(s) { this.x -= s; this.y -= s; return this; } }, { key: "subVectors", value: function subVectors(a, b) { this.x = a.x - b.x; this.y = a.y - b.y; return this; } }, { key: "reverse", value: function reverse() { this.x = -this.x; this.y = -this.y; return this; } }, { key: "reversed", value: function reversed() { return new Vector2(-this.x, -this.y); } }, { key: "multiply", value: function multiply(v) { this.x *= v.x; this.y *= v.y; return this; } /** * Return a new vector which is the scaler result of this vector. * @param scale */ }, { key: "multiplied", value: function multiplied(scale) { return new Vector2(this.x * scale, this.y * scale); } }, { key: "multiplyScalar", value: function multiplyScalar(scalar) { this.x *= scalar; this.y *= scalar; return this; } }, { key: "divide", value: function divide(v) { this.x /= v.x; this.y /= v.y; return this; } }, { key: "divideScalar", value: function divideScalar(scalar) { return this.multiplyScalar(1 / scalar); } }, { key: "applyMatrix3", value: function applyMatrix3(m) { var x = this.x; var y = this.y; var e = m.elements; this.x = e[0] * x + e[3] * y + e[6]; this.y = e[1] * x + e[4] * y + e[7]; return this; } }, { key: "min", value: function min(v) { this.x = Math.min(this.x, v.x); this.y = Math.min(this.y, v.y); return this; } }, { key: "max", value: function max(v) { this.x = Math.max(this.x, v.x); this.y = Math.max(this.y, v.y); return this; } }, { key: "clamp", value: function clamp(min, max) { // assumes min < max, componentwise this.x = Math.max(min.x, Math.min(max.x, this.x)); this.y = Math.max(min.y, Math.min(max.y, this.y)); return this; } }, { key: "clampScalar", value: function clampScalar(minVal, maxVal) { this.x = Math.max(minVal, Math.min(maxVal, this.x)); this.y = Math.max(minVal, Math.min(maxVal, this.y)); return this; } }, { key: "clampLength", value: function clampLength(min, max) { var length = this.length; return this.divideScalar(length || 1).multiplyScalar(Math.max(min, Math.min(max, length))); } }, { key: "floor", value: function floor() { this.x = Math.floor(this.x); this.y = Math.floor(this.y); return this; } }, { key: "ceil", value: function ceil() { this.x = Math.ceil(this.x); this.y = Math.ceil(this.y); return this; } }, { key: "round", value: function round() { this.x = Math.round(this.x); this.y = Math.round(this.y); return this; } }, { key: "roundToZero", value: function roundToZero() { this.x = this.x < 0 ? Math.ceil(this.x) : Math.floor(this.x); this.y = this.y < 0 ? Math.ceil(this.y) : Math.floor(this.y); return this; } }, { key: "negate", value: function negate() { this.x = -this.x; this.y = -this.y; return this; } }, { key: "dot", value: function dot(v) { return this.x * v.x + this.y * v.y; } }, { key: "cross", value: function cross(v) { return this.x * v.y - this.y * v.x; } }, { key: "lengthSq", get: function get() { return this.x * this.x + this.y * this.y; } }, { key: "length", get: function get() { return Math.sqrt(this.x * this.x + this.y * this.y); } }, { key: "manhattanLength", get: function get() { return Math.abs(this.x) + Math.abs(this.y); } }, { key: "normalize", value: function normalize() { return this.divideScalar(this.length || 1); } /** * The angle in [0, PI] */ }, { key: "angle", value: function angle(v) { if (!v) { return Math.atan2(-this.y, -this.x) + Math.PI; } return Math.atan2(Math.abs(this.cross(v)), this.dot(v)); } /** * The angle in [0, 2PI) */ }, { key: "angleTo", value: function angleTo(v) { var crossed = this.cross(v); var angle = this.angle(v); var pi2 = Math.PI * 2; if (crossed < 0.0 && angle < Math.PI && angle > 0) { return pi2 - angle; } return angle; } /** * 返回单位向量 */ }, { key: "normalized", value: function normalized() { var tol = 1e-16; var len = this.lengthSq; if (len === 0 || _MathUtils.MathUtils.isEqual(len, 1, tol)) { return new Vector2(this.x, this.y); } len = Math.sqrt(len); var newX = this.x / len; var newY = this.y / len; if (!Number.isFinite(newX) || !Number.isFinite(newY)) { return new Vector2(this.x, this.y); } return new Vector2(newX, newY); } }, { key: "distanceTo", value: function distanceTo(v) { return Math.sqrt(this.distanceToSquared(v)); } }, { key: "distanceToSquared", value: function distanceToSquared(v) { var dx = this.x - v.x; var dy = this.y - v.y; return dx * dx + dy * dy; } }, { key: "manhattanDistanceTo", value: function manhattanDistanceTo(v) { return Math.abs(this.x - v.x) + Math.abs(this.y - v.y); } }, { key: "setLength", value: function setLength(length) { return this.normalize().multiplyScalar(length); } }, { key: "lerp", value: function lerp(v, alpha) { this.x += (v.x - this.x) * alpha; this.y += (v.y - this.y) * alpha; return this; } }, { key: "lerpVectors", value: function lerpVectors(v1, v2, alpha) { this.x = v1.x + (v2.x - v1.x) * alpha; this.y = v1.y + (v2.y - v1.y) * alpha; return this; } }, { key: "equals", value: function equals(v) { var distTol = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : _Tolerance.Tolerance.global.distTol; var cosTol = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : _Tolerance.Tolerance.global.cosTol; var sLen0 = this.lengthSq; var sLen1 = v.lengthSq; if (_MathUtils.MathUtils.isZero(sLen0, distTol * distTol) && _MathUtils.MathUtils.isZero(sLen1, distTol * distTol)) { return true; } // 向量距离相等并且方向相同 return _MathUtils.MathUtils.isEqual(Math.sqrt(sLen0), Math.sqrt(sLen1), distTol) && this.isSameDirection(v, new _Tolerance.Tolerance(cosTol, distTol, _Tolerance.Tolerance.global.numTol), false); } }, { key: "isZero", value: function isZero() { var distTol = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : _Tolerance.Tolerance.global.distTol; return this.lengthSq < distTol * distTol; } /** * 是否平行 */ }, { key: "isParallel", value: function isParallel(vec, tol) { var checkZeroVec = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : true; var cosTol = tol ? tol.cosTol : _Tolerance.Tolerance.global.cosTol; var distTol = tol ? tol.distTol : _Tolerance.Tolerance.global.distTol; var len1 = this.length; var len2 = vec.length; if (len1 === 0 || len2 === 0 || checkZeroVec && (_MathUtils.MathUtils.isZero(len1, distTol) || _MathUtils.MathUtils.isZero(len2, distTol))) { return false; } var multiLen = len1 * len2; return Math.abs(multiLen - Math.abs(this.dot(vec))) <= cosTol * multiLen; } /** * 是否垂直 */ }, { key: "isPerpendicular", value: function isPerpendicular(vec, tol) { var checkZeroVec = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : true; var cosTol = tol ? tol.cosTol : _Tolerance.Tolerance.global.cosTol; var distTol = tol ? tol.distTol : _Tolerance.Tolerance.global.distTol; var len1 = this.length; var len2 = vec.length; if (len1 === 0 || len2 === 0 || checkZeroVec && (_MathUtils.MathUtils.isZero(len1, distTol) || _MathUtils.MathUtils.isZero(len2, distTol))) { return false; } var multiLen = len1 * len2; return Math.abs(multiLen - Math.abs(this.cross(vec))) <= cosTol * multiLen; } }, { key: "isSameDirection", value: function isSameDirection(v, tol) { var checkZeroVec = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : true; var cosTol = tol ? tol.cosTol : _Tolerance.Tolerance.global.cosTol; var distTol = tol ? tol.distTol : _Tolerance.Tolerance.global.distTol; var len1 = this.length; var len2 = v.length; if (len1 === 0 || len2 === 0 || checkZeroVec && (_MathUtils.MathUtils.isZero(len1, distTol) || _MathUtils.MathUtils.isZero(len2, distTol))) { return false; } var multiLen = len1 * len2; return Math.abs(multiLen - this.dot(v)) <= cosTol * multiLen; } }, { key: "isOpposite", value: function isOpposite(vec, tol) { var checkZeroVec = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : true; var cosTol = tol ? tol.cosTol : _Tolerance.Tolerance.global.cosTol; var distTol = tol ? tol.distTol : _Tolerance.Tolerance.global.distTol; var len1 = this.length; var len2 = vec.length; if (len1 === 0 || len2 === 0 || checkZeroVec && (_MathUtils.MathUtils.isZero(len1, distTol) || _MathUtils.MathUtils.isZero(len2, distTol))) { return false; } var multiLen = len1 * len2; return Math.abs(multiLen + this.dot(vec)) <= cosTol * multiLen; } }, { key: "fromArray", value: function fromArray(array) { var offset = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 0; this.x = array[offset]; this.y = array[offset + 1]; 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; array[offset] = this.x; array[offset + 1] = this.y; return array; } }, { key: "toVector3", value: function toVector3() { return new _Vector.Vector3(this.x, this.y, 0); } }, { key: "rotateAround", value: function rotateAround(center, angle) { var c = Math.cos(angle); var s = Math.sin(angle); var x = this.x - center.x; var y = this.y - center.y; this.x = x * c - y * s + center.x; this.y = x * s + y * c + center.y; return this; } }, { key: "random", value: function random() { this.x = Math.random(); this.y = Math.random(); return this; } }], [{ key: "fromObject", value: function fromObject(obj) { return new Vector2(obj.x, obj.y); } }]); }();