import Path from './path' import Point from './point' import { Bezier } from 'bezier-js' export function capitalize(string) { return string.charAt(0).toUpperCase() + string.slice(1) } /** Checks for a valid coordinate value **/ export function isCoord(value) { return value === value // NaN does not equal itself ? typeof value === 'number' : false } /** Returns internal hook name for a macro */ export function macroName(name) { return `_macro_${name}` } /** Find intersection of two (endless) lines */ export function beamsIntersect(a1, a2, b1, b2) { let slopeA = a1.slope(a2) let slopeB = b1.slope(b2) if (slopeA === slopeB) return false // Parallel lines // Check for vertical line A if (Math.round(a1.x * 10000) === Math.round(a2.x * 10000)) return new Point(a1.x, slopeB * a1.x + (b1.y - slopeB * b1.x)) // Check for vertical line B else if (Math.round(b1.x * 10000) === Math.round(b2.x * 10000)) return new Point(b1.x, slopeA * b1.x + (a1.y - slopeA * a1.x)) else { // Swap points if line A or B goes from right to left if (a1.x > a2.x) a1 = a2.copy() if (b1.x > b2.x) b1 = b2.copy() // Find y intercept let iA = a1.y - slopeA * a1.x let iB = b1.y - slopeB * b1.x // Find intersection let x = (iB - iA) / (slopeA - slopeB) let y = slopeA * x + iA return new Point(x, y) } } /** Find intersection of two line segments */ export function linesIntersect(a1, a2, b1, b2) { let p = beamsIntersect(a1, a2, b1, b2) if (!p) return false let lenA = a1.dist(a2) let lenB = b1.dist(b2) let lenC = a1.dist(p) + p.dist(a2) let lenD = b1.dist(p) + p.dist(b2) if (Math.round(lenA) == Math.round(lenC) && Math.round(lenB) == Math.round(lenD)) return p else return false } /** Finds out whether a point lies on an endless line */ export function pointOnBeam(from, to, check, precision = 1e6) { if (from.sitsOn(check)) return true if (to.sitsOn(check)) return true let cross = check.dx(from) * to.dy(from) - check.dy(from) * to.dx(from) if (Math.abs(Math.round(cross * precision) / precision) === 0) return true else return false } /** Finds out whether a point lies on a line segment */ export function pointOnLine(from, to, check, precision = 1e6) { if (!pointOnBeam(from, to, check, precision)) return false let lenA = from.dist(to) let lenB = from.dist(check) + check.dist(to) if (Math.round(lenA) == Math.round(lenB)) return true else return false } /** Finds out whether a point lies on a curve */ export function pointOnCurve(start, cp1, cp2, end, check) { if (start.sitsOn(check)) return true if (end.sitsOn(check)) return true let curve = new Bezier( { x: start.x, y: start.y }, { x: cp1.x, y: cp1.y }, { x: cp2.x, y: cp2.y }, { x: end.x, y: end.y } ) let intersections = curve.intersects({ p1: { x: check.x - 1, y: check.y }, p2: { x: check.x + 1, y: check.y }, }) if (intersections.length === 0) { // Handle edge case of a curve that's a perfect horizontal line intersections = curve.intersects({ p1: { x: check.x, y: check.y - 1 }, p2: { x: check.x, y: check.y + 1 }, }) } if (intersections.length > 0) return intersections.shift() else return false } /** Splits a curve on a point */ export function splitCurve(start, cp1, cp2, end, split) { let [c1, c2] = new Path().move(start).curve(cp1, cp2, end).split(split) return [ { start: c1.ops[0].to, cp1: c1.ops[1].cp1, cp2: c1.ops[1].cp2, end: c1.ops[1].to, }, { start: c2.ops[0].to, cp1: c2.ops[1].cp1, cp2: c2.ops[1].cp2, end: c2.ops[1].to, }, ] } /** Find where an (endless) line intersects with a certain X-value */ export function beamIntersectsX(from, to, x) { if (from.x === to.x) return false // Vertical line let top = new Point(x, -10) let bottom = new Point(x, 10) return beamsIntersect(from, to, top, bottom) } /** Find where an (endless) line intersects with a certain Y-value */ export function beamIntersectsY(from, to, y) { if (from.y === to.y) return false // Horizontal line let left = new Point(-10, y) let right = new Point(10, y) return beamsIntersect(from, to, left, right) } /** Convert value in mm to cm or imperial units */ export function units(value, to = 'metric') { if (to === 'imperial') return round(value / 25.4) + '"' else return round(value / 10) + 'cm' } /** Find where a curve intersects with line */ export function lineIntersectsCurve(start, end, from, cp1, cp2, to) { let intersections = [] let bz = new Bezier( { x: from.x, y: from.y }, { x: cp1.x, y: cp1.y }, { x: cp2.x, y: cp2.y }, { x: to.x, y: to.y } ) let line = { p1: { x: start.x, y: start.y }, p2: { x: end.x, y: end.y }, } for (let t of bz.intersects(line)) { let isect = bz.get(t) intersections.push(new Point(isect.x, isect.y)) } if (intersections.length === 0) return false else if (intersections.length === 1) return intersections[0] else return intersections } /** Find where a curve intersects with a given X-value */ export function curveIntersectsX(from, cp1, cp2, to, x) { let start = new Point(x, -10000) let end = new Point(x, 10000) return lineIntersectsCurve(start, end, from, cp1, cp2, to) } /** Find where a curve intersects with a given Y-value */ export function curveIntersectsY(from, cp1, cp2, to, y) { let start = new Point(-10000, y) let end = new Point(10000, y) return lineIntersectsCurve(start, end, from, cp1, cp2, to) } /** Find where a curve intersects with another curve */ export function curvesIntersect(fromA, cp1A, cp2A, toA, fromB, cp1B, cp2B, toB) { let precision = 0.005 // See https://github.com/Pomax/bezierjs/issues/99 let intersections = [] let curveA = new Bezier( { x: fromA.x, y: fromA.y }, { x: cp1A.x, y: cp1A.y }, { x: cp2A.x, y: cp2A.y }, { x: toA.x, y: toA.y } ) let curveB = new Bezier( { x: fromB.x, y: fromB.y }, { x: cp1B.x, y: cp1B.y }, { x: cp2B.x, y: cp2B.y }, { x: toB.x, y: toB.y } ) for (let tvalues of curveA.intersects(curveB, precision)) { let intersection = curveA.get(tvalues.substr(0, tvalues.indexOf('/'))) intersections.push(new Point(intersection.x, intersection.y)) } if (intersections.length === 0) return false else if (intersections.length === 1) return intersections.shift() else { let unique = [] for (let i of intersections) { let dupe = false for (let u of unique) { if (i.sitsRoughlyOn(u)) dupe = true } if (!dupe) unique.push(i) } return unique } } /** Find the intersections between two circles */ export function circlesIntersect(c1, r1, c2, r2, sort = 'x') { let dx = c1.dx(c2) let dy = c1.dy(c2) let dist = c1.dist(c2) // Check for edge cases if (dist > parseFloat(r1) + parseFloat(r2)) return false // Circles do not intersect if (dist < parseFloat(r2) - parseFloat(r1)) return false // One circle is contained in the other if (dist === 0 && r1 === r2) return false // Two circles are identical let chorddistance = (Math.pow(r1, 2) - Math.pow(r2, 2) + Math.pow(dist, 2)) / (2 * dist) let halfchordlength = Math.sqrt(Math.pow(r1, 2) - Math.pow(chorddistance, 2)) let chordmidpointx = c1.x + (chorddistance * dx) / dist let chordmidpointy = c1.y + (chorddistance * dy) / dist let i1 = new Point( chordmidpointx + (halfchordlength * dy) / dist, chordmidpointy - (halfchordlength * dx) / dist ) let i2 = new Point( chordmidpointx - (halfchordlength * dy) / dist, chordmidpointy + (halfchordlength * dx) / dist ) if ((sort === 'x' && i1.x <= i2.x) || (sort === 'y' && i1.y <= i2.y)) return [i1, i2] else return [i2, i1] } /** Find the intersections between a beam and a circle */ export function beamIntersectsCircle(c, r, p1, p2, sort = 'x') { let dx = p2.x - p1.x let dy = p2.y - p1.y let A = Math.pow(dx, 2) + Math.pow(dy, 2) let B = 2 * (dx * (p1.x - c.x) + dy * (p1.y - c.y)) let C = Math.pow(p1.x - c.x, 2) + Math.pow(p1.y - c.y, 2) - Math.pow(r, 2) let det = Math.pow(B, 2) - 4 * A * C if (A <= 0.0000001 || det < 0) return false // No real solutions else if (det === 0) { // One solution let t = (-1 * B) / (2 * A) let i1 = new Point(p1.x + t * dx, p1.y + t * dy) return [i1] } else { // Two solutions let t = (-1 * B + Math.sqrt(det)) / (2 * A) let i1 = new Point(p1.x + t * dx, p1.y + t * dy) t = (-1 * B - Math.sqrt(det)) / (2 * A) let i2 = new Point(p1.x + t * dx, p1.y + t * dy) if ((sort === 'x' && i1.x <= i2.x) || (sort === 'y' && i1.y <= i2.y)) return [i1, i2] else return [i2, i1] } } /** Find the intersections between a line and a circle */ export function lineIntersectsCircle(c, r, p1, p2, sort = 'x') { let intersections = beamIntersectsCircle(c, r, p1, p2, sort) if (intersections === false) return false else { if (intersections.length === 1) { if (pointOnLine(p1, p2, intersections[0])) return intersections else return false } else { let i1 = intersections[0] let i2 = intersections[1] if (!pointOnLine(p1, p2, i1, 5) && !pointOnLine(p1, p2, i2, 5)) return false else if (pointOnLine(p1, p2, i1, 5) && pointOnLine(p1, p2, i2, 5)) { if ((sort === 'x' && i1.x <= i2.x) || (sort === 'y' && i1.y <= i2.y)) return [i1, i2] else return [i2, i1] } else if (pointOnLine(p1, p2, i1, 5)) return [i1] else if (pointOnLine(p1, p2, i2, 5)) return [i2] } } } export function curveEdge(curve, edge, steps = 500) { let x = Infinity let y = Infinity let p if (edge === 'bottom') y = -Infinity if (edge === 'right') x = -Infinity for (let i = 0; i < steps; i++) { p = curve.get(i / steps) if ( (edge === 'top' && p.y < y) || (edge === 'bottom' && p.y > y) || (edge === 'right' && p.x > x) || (edge === 'left' && p.x < x) ) { x = p.x y = p.y } } return new Point(x, y) } /** * Calculates scale factor based on stretch factor * * The way people measure stretch intuitively is * different from the way we handle stretch in code. * When people say '25% stretch' they mean that * 10cm fabric should get stretched to 12.5cm fabric. * In our code, that means we need to scale things by 80%. * * This method does that calculation. */ export function stretchToScale(stretch) { return 1 / (1 + parseFloat(stretch)) } export function round(value) { return Math.round(value * 1e2) / 1e2 } export function sampleStyle(run, runs, styles = false) { return styles && Array.isArray(styles) && styles.length > 0 ? styles[run % styles.length] : `stroke: hsl(${(run - 1) * (330 / runs)}, 100%, 35%);` } export function deg2rad(degrees) { return degrees * (Math.PI / 180) } export function rad2deg(radians) { return (radians / Math.PI) * 180 } // Export bezier-js so plugins can use it export { Bezier } export function pctBasedOn(measurement) { return { toAbs: (val, { measurements }) => measurements[measurement] * val, fromAbs: (val, { measurements }) => Math.round((10000 * val) / measurements[measurement]) / 10000, } } /** Generates the transform attributes needed for a given part */ export const generatePartTransform = (x, y, rotate, flipX, flipY, part) => { const center = { x: part.topLeft.x + (part.bottomRight.x - part.topLeft.x)/2, y: part.topLeft.y + (part.bottomRight.y - part.topLeft.y)/2, } const transforms = [`translate(${x},${y})`] if (flipX) transforms.push( 'scale(-1, 1)', ) if (flipY) transforms.push( 'scale(1, -1)', ) if (rotate) transforms.push( `rotate(${rotate})` ) return { transform: transforms.join(' '), 'transform-origin': `${center.x} ${center.y}` } } /* * Makes sure an object passed to be attached as a part it not merely a method */ export const decoratePartDependency = (obj, name) => (typeof obj === 'function') ? { draft: obj, name } : obj // Add part-level options const addPartOptions = (part, config) => { if (part.options) { for (const optionName in part.options) { config.options[optionName] = part.options[optionName] } } if (part.from) addPartOptions(part.from, config) return config } // Add part-level measurements const addPartMeasurements = (part, config, list=false) => { if (!list) list = config.measurements ? [...config.measurements] : [] if (part.measurements) { for (const m of part.measurements) list.push(m) } if (part.from) addPartMeasurements(part.from, config, list) // Weed out duplicates config.measurements = [...new Set(list)] return config } // Add part-level optional measurements const addPartOptionalMeasurements = (part, config, list=false) => { if (!list) list = config.optionalMeasurements ? [...config.optionalMeasurements] : [] if (part.optionalMeasurements) { for (const m of part.optionalMeasurements) { // Don't add it's a required measurement for another part if (config.measurements.indexOf(m) === -1) list.push(m) } } if (part.from) addPartOptionalMeasurements(part.from, config, list) // Weed out duplicates config.optionalMeasurements = [...new Set(list)] return config } const addDependencies = (dep, current) => { // Current dependencies const list = [] if (Array.isArray(current)) list.push(...current) else if (typeof current === 'string') list.push(current) if (Array.isArray(dep)) list.push(...dep) else if (typeof dep === 'string') list.push(dep) return [...new Set(list)] } // Add part-level dependencies export const addPartDependencies = (part, config) => { if (part.after) { config.dependencies[part.name] = addDependencies(config.dependencies[part.name], part.after) } return config } export const addPartConfig = (part, config) => { config = addPartOptions(part, config) config = addPartMeasurements(part, config) config = addPartOptionalMeasurements(part, config) config = addPartDependencies(part, config) return config }