* update dependencies * fix #1008 by adjusting font-size (allowing to keep the text keep his proportions to the font) * refactor math.js
This commit is contained in:
@@ -3,117 +3,111 @@
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* @module math
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* @license MIT
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*
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* @copyright 2010 Alexis Deveria, 2010 Jeff Schiller
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* ©2010 Alexis Deveria, ©2010 Jeff Schiller
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*/
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/**
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* @typedef {PlainObject} module:math.AngleCoord45
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* @property {Float} x - The angle-snapped x value
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* @property {Float} y - The angle-snapped y value
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* @property {Integer} a - The angle at which to snap
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* @typedef {Object} AngleCoord45
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* @property {number} x - The angle-snapped x value
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* @property {number} y - The angle-snapped y value
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* @property {number} a - The angle (in radians) at which to snap
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*/
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/**
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* @typedef {PlainObject} module:math.XYObject
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* @property {Float} x
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* @property {Float} y
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* @typedef {Object} XYObject
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* @property {number} x
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* @property {number} y
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*/
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import { NS } from './namespaces.js'
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// Constants
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const NEAR_ZERO = 1e-14
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const NEAR_ZERO = 1e-10
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// Throw away SVGSVGElement used for creating matrices/transforms.
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// Create a throwaway SVG element for matrix operations
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const svg = document.createElementNS(NS.SVG, 'svg')
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/**
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* A (hopefully) quicker function to transform a point by a matrix
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* (this function avoids any DOM calls and just does the math).
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* @function module:math.transformPoint
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* @param {Float} x - Float representing the x coordinate
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* @param {Float} y - Float representing the y coordinate
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* @param {SVGMatrix} m - Matrix object to transform the point with
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* @returns {module:math.XYObject} An x, y object representing the transformed point
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* Transforms a point by a given matrix without DOM calls.
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* @function transformPoint
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* @param {number} x - The x coordinate
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* @param {number} y - The y coordinate
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* @param {SVGMatrix} m - The transformation matrix
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* @returns {XYObject} The transformed point
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*/
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export const transformPoint = function (x, y, m) {
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return { x: m.a * x + m.c * y + m.e, y: m.b * x + m.d * y + m.f }
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}
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export const transformPoint = (x, y, m) => ({
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x: m.a * x + m.c * y + m.e,
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y: m.b * x + m.d * y + m.f
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})
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export const getTransformList = (elem) => {
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if (elem.transform) {
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return elem.transform?.baseVal
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/**
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* Gets the transform list (baseVal) from an element if it exists.
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* @function getTransformList
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* @param {Element} elem - An SVG element or element with a transform list
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* @returns {SVGTransformList|undefined} The transform list, if any
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*/
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export const getTransformList = elem => {
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if (elem.transform?.baseVal) {
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return elem.transform.baseVal
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}
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if (elem.gradientTransform) {
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return elem.gradientTransform?.baseVal
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if (elem.gradientTransform?.baseVal) {
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return elem.gradientTransform.baseVal
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}
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if (elem.patternTransform) {
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return elem.patternTransform?.baseVal
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if (elem.patternTransform?.baseVal) {
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return elem.patternTransform.baseVal
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}
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console.warn('no transform list found - check browser version', elem)
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console.warn('No transform list found. Check browser compatibility.', elem)
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}
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/**
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* Helper function to check if the matrix performs no actual transform
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* (i.e. exists for identity purposes).
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* @function module:math.isIdentity
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* @param {SVGMatrix} m - The matrix object to check
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* @returns {boolean} Indicates whether or not the matrix is 1,0,0,1,0,0
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* Checks if a matrix is the identity matrix.
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* @function isIdentity
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* @param {SVGMatrix} m - The matrix to check
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* @returns {boolean} True if it's an identity matrix (1,0,0,1,0,0)
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*/
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export const isIdentity = function (m) {
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return (
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m.a === 1 && m.b === 0 && m.c === 0 && m.d === 1 && m.e === 0 && m.f === 0
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)
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}
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export const isIdentity = m =>
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m.a === 1 && m.b === 0 && m.c === 0 && m.d === 1 && m.e === 0 && m.f === 0
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/**
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* This function tries to return a `SVGMatrix` that is the multiplication `m1 * m2`.
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* We also round to zero when it's near zero.
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* @function module:math.matrixMultiply
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* @param {...SVGMatrix} args - Matrix objects to multiply
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* @returns {SVGMatrix} The matrix object resulting from the calculation
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* Multiplies multiple matrices together (m1 * m2 * ...).
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* Near-zero values are rounded to zero.
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* @function matrixMultiply
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* @param {...SVGMatrix} args - The matrices to multiply
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* @returns {SVGMatrix} The resulting matrix
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*/
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export const matrixMultiply = function (...args) {
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const m = args.reduceRight((prev, m1) => {
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return m1.multiply(prev)
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})
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export const matrixMultiply = (...args) => {
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// If no matrices are given, return an identity matrix
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if (args.length === 0) {
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return svg.createSVGMatrix()
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}
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if (Math.abs(m.a) < NEAR_ZERO) {
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m.a = 0
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}
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if (Math.abs(m.b) < NEAR_ZERO) {
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m.b = 0
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}
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if (Math.abs(m.c) < NEAR_ZERO) {
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m.c = 0
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}
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if (Math.abs(m.d) < NEAR_ZERO) {
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m.d = 0
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}
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if (Math.abs(m.e) < NEAR_ZERO) {
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m.e = 0
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}
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if (Math.abs(m.f) < NEAR_ZERO) {
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m.f = 0
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}
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const m = args.reduceRight((prev, curr) => curr.multiply(prev))
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// Round near-zero values to zero
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if (Math.abs(m.a) < NEAR_ZERO) m.a = 0
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if (Math.abs(m.b) < NEAR_ZERO) m.b = 0
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if (Math.abs(m.c) < NEAR_ZERO) m.c = 0
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if (Math.abs(m.d) < NEAR_ZERO) m.d = 0
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if (Math.abs(m.e) < NEAR_ZERO) m.e = 0
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if (Math.abs(m.f) < NEAR_ZERO) m.f = 0
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return m
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}
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/**
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* See if the given transformlist includes a non-indentity matrix transform.
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* @function module:math.hasMatrixTransform
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* @param {SVGTransformList} [tlist] - The transformlist to check
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* @returns {boolean} Whether or not a matrix transform was found
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* Checks if a transform list includes a non-identity matrix transform.
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* @function hasMatrixTransform
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* @param {SVGTransformList} [tlist] - The transform list to check
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* @returns {boolean} True if a matrix transform is found
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*/
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export const hasMatrixTransform = function (tlist) {
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if (!tlist) {
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return false
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}
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let num = tlist.numberOfItems
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while (num--) {
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const xform = tlist.getItem(num)
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if (xform.type === 1 && !isIdentity(xform.matrix)) {
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export const hasMatrixTransform = tlist => {
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if (!tlist) return false
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for (let i = 0; i < tlist.numberOfItems; i++) {
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const xform = tlist.getItem(i)
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if (
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xform.type === SVGTransform.SVG_TRANSFORM_MATRIX &&
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!isIdentity(xform.matrix)
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) {
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return true
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}
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}
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@@ -121,29 +115,29 @@ export const hasMatrixTransform = function (tlist) {
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}
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/**
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* @typedef {PlainObject} module:math.TransformedBox An object with the following values
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* @property {module:math.XYObject} tl - The top left coordinate
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* @property {module:math.XYObject} tr - The top right coordinate
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* @property {module:math.XYObject} bl - The bottom left coordinate
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* @property {module:math.XYObject} br - The bottom right coordinate
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* @property {PlainObject} aabox - Object with the following values:
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* @property {Float} aabox.x - Float with the axis-aligned x coordinate
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* @property {Float} aabox.y - Float with the axis-aligned y coordinate
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* @property {Float} aabox.width - Float with the axis-aligned width coordinate
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* @property {Float} aabox.height - Float with the axis-aligned height coordinate
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* @typedef {Object} TransformedBox
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* @property {XYObject} tl - Top-left coordinate
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* @property {XYObject} tr - Top-right coordinate
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* @property {XYObject} bl - Bottom-left coordinate
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* @property {XYObject} br - Bottom-right coordinate
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* @property {Object} aabox
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* @property {number} aabox.x - Axis-aligned x
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* @property {number} aabox.y - Axis-aligned y
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* @property {number} aabox.width - Axis-aligned width
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* @property {number} aabox.height - Axis-aligned height
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*/
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/**
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* Transforms a rectangle based on the given matrix.
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* @function module:math.transformBox
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* @param {Float} l - Float with the box's left coordinate
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* @param {Float} t - Float with the box's top coordinate
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* @param {Float} w - Float with the box width
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* @param {Float} h - Float with the box height
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* @param {SVGMatrix} m - Matrix object to transform the box by
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* @returns {module:math.TransformedBox}
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* Transforms a rectangular box using a given matrix.
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* @function transformBox
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* @param {number} l - Left coordinate
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* @param {number} t - Top coordinate
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* @param {number} w - Width
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* @param {number} h - Height
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* @param {SVGMatrix} m - Transformation matrix
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* @returns {TransformedBox} The transformed box information
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*/
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export const transformBox = function (l, t, w, h, m) {
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export const transformBox = (l, t, w, h, m) => {
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const tl = transformPoint(l, t, m)
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const tr = transformPoint(l + w, t, m)
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const bl = transformPoint(l, t + h, m)
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@@ -169,91 +163,81 @@ export const transformBox = function (l, t, w, h, m) {
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}
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/**
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* This returns a single matrix Transform for a given Transform List
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* (this is the equivalent of `SVGTransformList.consolidate()` but unlike
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* that method, this one does not modify the actual `SVGTransformList`).
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* This function is very liberal with its `min`, `max` arguments.
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* @function module:math.transformListToTransform
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* @param {SVGTransformList} tlist - The transformlist object
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* @param {Integer} [min=0] - Optional integer indicating start transform position
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* @param {Integer} [max] - Optional integer indicating end transform position;
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* defaults to one less than the tlist's `numberOfItems`
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* @returns {SVGTransform} A single matrix transform object
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* Consolidates a transform list into a single matrix transform without modifying the original list.
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* @function transformListToTransform
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* @param {SVGTransformList} tlist - The transform list
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* @param {number} [min=0] - Optional start index
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* @param {number} [max] - Optional end index, defaults to tlist length-1
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* @returns {SVGTransform} A single transform from the combined matrices
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*/
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export const transformListToTransform = function (tlist, min, max) {
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export const transformListToTransform = (tlist, min = 0, max = null) => {
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if (!tlist) {
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// Or should tlist = null have been prevented before this?
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return svg.createSVGTransformFromMatrix(svg.createSVGMatrix())
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}
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min = min || 0
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max = max || tlist.numberOfItems - 1
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min = Number.parseInt(min)
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max = Number.parseInt(max)
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if (min > max) {
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const temp = max
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max = min
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min = temp
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}
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let m = svg.createSVGMatrix()
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for (let i = min; i <= max; ++i) {
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// if our indices are out of range, just use a harmless identity matrix
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const mtom =
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const start = Number.parseInt(min, 10)
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const end = Number.parseInt(max ?? tlist.numberOfItems - 1, 10)
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const low = Math.min(start, end)
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const high = Math.max(start, end)
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let combinedMatrix = svg.createSVGMatrix()
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for (let i = low; i <= high; i++) {
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// If out of range, use identity
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const currentMatrix =
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i >= 0 && i < tlist.numberOfItems
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? tlist.getItem(i).matrix
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: svg.createSVGMatrix()
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m = matrixMultiply(m, mtom)
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combinedMatrix = matrixMultiply(combinedMatrix, currentMatrix)
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}
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return svg.createSVGTransformFromMatrix(m)
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return svg.createSVGTransformFromMatrix(combinedMatrix)
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}
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/**
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* Get the matrix object for a given element.
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* @function module:math.getMatrix
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* @param {Element} elem - The DOM element to check
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* @returns {SVGMatrix} The matrix object associated with the element's transformlist
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* Gets the matrix of a given element's transform list.
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* @function getMatrix
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* @param {Element} elem - The element to check
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* @returns {SVGMatrix} The transformation matrix
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*/
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export const getMatrix = (elem) => {
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export const getMatrix = elem => {
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const tlist = getTransformList(elem)
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return transformListToTransform(tlist).matrix
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}
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/**
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* Returns a 45 degree angle coordinate associated with the two given
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* coordinates.
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* @function module:math.snapToAngle
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* @param {Integer} x1 - First coordinate's x value
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* @param {Integer} y1 - First coordinate's y value
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* @param {Integer} x2 - Second coordinate's x value
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* @param {Integer} y2 - Second coordinate's y value
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* @returns {module:math.AngleCoord45}
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* Returns a coordinate snapped to the nearest 45-degree angle.
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* @function snapToAngle
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* @param {number} x1 - First point's x
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* @param {number} y1 - First point's y
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* @param {number} x2 - Second point's x
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* @param {number} y2 - Second point's y
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* @returns {AngleCoord45} The angle-snapped coordinates and angle
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*/
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export const snapToAngle = (x1, y1, x2, y2) => {
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const snap = Math.PI / 4 // 45 degrees
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const dx = x2 - x1
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const dy = y2 - y1
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const angle = Math.atan2(dy, dx)
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const dist = Math.sqrt(dx * dx + dy * dy)
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const snapangle = Math.round(angle / snap) * snap
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const dist = Math.hypot(dx, dy)
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const snapAngle = Math.round(angle / snap) * snap
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return {
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x: x1 + dist * Math.cos(snapangle),
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y: y1 + dist * Math.sin(snapangle),
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a: snapangle
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x: x1 + dist * Math.cos(snapAngle),
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y: y1 + dist * Math.sin(snapAngle),
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a: snapAngle
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}
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}
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/**
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* Check if two rectangles (BBoxes objects) intersect each other.
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* @function module:math.rectsIntersect
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* @param {SVGRect} r1 - The first BBox-like object
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* @param {SVGRect} r2 - The second BBox-like object
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* @returns {boolean} True if rectangles intersect
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* Checks if two rectangles intersect.
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* Both r1 and r2 are expected to have {x, y, width, height}.
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* @function rectsIntersect
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* @param {{x:number,y:number,width:number,height:number}} r1 - First rectangle
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* @param {{x:number,y:number,width:number,height:number}} r2 - Second rectangle
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* @returns {boolean} True if the rectangles intersect
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*/
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export const rectsIntersect = (r1, r2) => {
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return (
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r2.x < r1.x + r1.width &&
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r2.x + r2.width > r1.x &&
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r2.y < r1.y + r1.height &&
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r2.y + r2.height > r1.y
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)
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}
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export const rectsIntersect = (r1, r2) =>
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r2.x < r1.x + r1.width &&
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r2.x + r2.width > r1.x &&
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r2.y < r1.y + r1.height &&
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r2.y + r2.height > r1.y
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