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- "use strict";
- /**
- * 2 Dimensional Vector
- * @module vector2
- */
- module.exports = {
- /**
- * Creates a new, empty vector2
- *
- * @return {vector2} a new 2D vector
- */
- create: function create() {
- return [0, 0];
- },
- /**
- * Calculates the length of a vector2
- *
- * @param {vector2} v vector to calculate length of
- * @return {Number} length of v
- */
- length: function length(v) {
- var x = v[0];
- var y = v[1];
- return Math.sqrt(x * x + y * y);
- },
- /**
- * Normalize a vector2
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v vector to normalize
- * @return {vector2} out
- */
- normalize: function normalize(out, v) {
- var len = this.length(v);
- if (len === 0) {
- out[0] = 0;
- out[1] = 0;
- } else {
- out[0] = v[0] / len;
- out[1] = v[1] / len;
- }
- return out;
- },
- /**
- * Adds two vector2's
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {vector2} out
- */
- add: function add(out, v1, v2) {
- out[0] = v1[0] + v2[0];
- out[1] = v1[1] + v2[1];
- return out;
- },
- /**
- * Subtracts vector v2 from vector v1
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {vector2} out
- */
- sub: function sub(out, v1, v2) {
- out[0] = v1[0] - v2[0];
- out[1] = v1[1] - v2[1];
- return out;
- },
- /**
- * Scales a vector2 by a scalar number
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v the vector to scale
- * @param {Number} s amount to scale the vector by
- * @return {vector2} out
- */
- scale: function scale(out, v, s) {
- out[0] = v[0] * s;
- out[1] = v[1] * s;
- return out;
- },
- /**
- * Calculates the dot product of two vector2's
- *
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {Number} dot product of v1 and v2
- */
- dot: function dot(v1, v2) {
- return v1[0] * v2[0] + v1[1] * v2[1];
- },
- /**
- * Calculates the direction of two vector2's
- *
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {Boolean} the direction of v1 and v2
- */
- direction: function direction(v1, v2) {
- return v1[0] * v2[1] - v2[0] * v1[1];
- },
- /**
- * Calculates the angle of two vector2's
- *
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {Number} angle of v1 and v2
- */
- angle: function angle(v1, v2) {
- var theta = this.dot(v1, v2) / (this.length(v1) * this.length(v2));
- return Math.acos(theta);
- },
- /**
- * Calculates the angle of two vector2's with direction
- *
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @param {Boolean} direction the direction of two vector2's
- * @return {Number} angle of v1 and v2
- */
- angleTo: function angleTo(v1, v2, direction) {
- var angle = this.angle(v1, v2);
- var angleLargeThanPI = this.direction(v1, v2) >= 0;
- if (direction) {
- if (angleLargeThanPI) {
- return Math.PI * 2 - angle;
- }
- return angle;
- }
- if (angleLargeThanPI) {
- return angle;
- }
- return Math.PI * 2 - angle;
- },
- /**
- * whether a vector2 is zero vector
- *
- * @param {vector2} v vector to calculate
- * @return {Boolean} is or not a zero vector
- */
- zero: function zero(v) {
- return v[0] === 0 && v[1] === 0;
- },
- /**
- * Calculates the euclidian distance between two vector2's
- *
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {Number} distance between a and b
- */
- distance: function distance(v1, v2) {
- var x = v2[0] - v1[0];
- var y = v2[1] - v1[1];
- return Math.sqrt(x * x + y * y);
- },
- /**
- * Creates a new vector2 initialized with values from an existing vector
- *
- * @param {vector2} v vector to clone
- * @return {Array} a new 2D vector
- */
- clone: function clone(v) {
- return [v[0], v[1]];
- },
- /**
- * Return the minimum of two vector2's
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {vector2} out
- */
- min: function min(out, v1, v2) {
- out[0] = Math.min(v1[0], v2[0]);
- out[1] = Math.min(v1[1], v2[1]);
- return out;
- },
- /**
- * Return the maximum of two vector2's
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v1 the first operand
- * @param {vector2} v2 the second operand
- * @return {vector2} out
- */
- max: function max(out, v1, v2) {
- out[0] = Math.max(v1[0], v2[0]);
- out[1] = Math.max(v1[1], v2[1]);
- return out;
- },
- /**
- * Transforms the vector2 with a mat2d
- *
- * @param {vector2} out the receiving vector
- * @param {vector2} v the vector to transform
- * @param {mat2d} m matrix to transform with
- * @return {vector2} out
- */
- transformMat2d: function transformMat2d(out, v, m) {
- var x = v[0];
- var y = v[1];
- out[0] = m[0] * x + m[2] * y + m[4];
- out[1] = m[1] * x + m[3] * y + m[5];
- return out;
- }
- };
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