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dxf

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import { Box2 } from 'vecks' import entityToPolyline from './entityToPolyline' import denormalise from './denormalise' import getRGBForEntity from './getRGBForEntity' import logger from './util/logger' import rotate from './util/rotate' import rgbToColorAttribute from './util/rgbToColorAttribute' import toPiecewiseBezier, { multiplicity } from './util/toPiecewiseBezier' import transformBoundingBoxAndElement from './util/transformBoundingBoxAndElement' const addFlipXIfApplicable = (entity, { bbox, element }) => { if (entity.extrusionZ === -1) { return { bbox: new Box2() .expandByPoint({ x: -bbox.min.x, y: bbox.min.y }) .expandByPoint({ x: -bbox.max.x, y: bbox.max.y }), element: `<g transform="matrix(-1 0 0 1 0 0)"> ${element} </g>`, } } else { return { bbox, element } } } /** * Create a <path /> element. Interpolates curved entities. */ const polyline = (entity) => { const vertices = entityToPolyline(entity) const bbox = vertices.reduce( (acc, [x, y]) => acc.expandByPoint({ x, y }), new Box2(), ) const d = vertices.reduce((acc, point, i) => { acc += i === 0 ? 'M' : 'L' acc += point[0] + ',' + point[1] return acc }, '') // Empirically it appears that flipping horizontally does not apply to polyline return transformBoundingBoxAndElement( bbox, `<path d="${d}" />`, entity.transforms, ) } /** * Create a <path /> element. Interpolates curved entities. * lwpolyline is the same as polyline but addFlipXIfApplicable does apply */ const lwpolyline = (entity) => { const vertices = entityToPolyline(entity) const bbox0 = vertices.reduce( (acc, [x, y]) => acc.expandByPoint({ x, y }), new Box2(), ) const d = vertices.reduce((acc, point, i) => { acc += i === 0 ? 'M' : 'L' acc += point[0] + ',' + point[1] return acc }, '') const element0 = `<path d="${d}" />` const { bbox, element } = addFlipXIfApplicable(entity, { bbox: bbox0, element: element0, }) return transformBoundingBoxAndElement( bbox, element, entity.transforms, ) } /** * Create a <circle /> element for the CIRCLE entity. */ const circle = (entity) => { const bbox0 = new Box2() .expandByPoint({ x: entity.x + entity.r, y: entity.y + entity.r, }) .expandByPoint({ x: entity.x - entity.r, y: entity.y - entity.r, }) const element0 = `<circle cx="${entity.x}" cy="${entity.y}" r="${entity.r}" />` const { bbox, element } = addFlipXIfApplicable(entity, { bbox: bbox0, element: element0, }) return transformBoundingBoxAndElement(bbox, element, entity.transforms) } /** * Create a a <path d="A..." /> or <ellipse /> element for the ARC or ELLIPSE * DXF entity (<ellipse /> if start and end point are the same). */ const ellipseOrArc = ( cx, cy, majorX, majorY, axisRatio, startAngle, endAngle, flipX, ) => { const rx = Math.sqrt(majorX * majorX + majorY * majorY) const ry = axisRatio * rx const rotationAngle = -Math.atan2(-majorY, majorX) const bbox = bboxEllipseOrArc( cx, cy, majorX, majorY, axisRatio, startAngle, endAngle, flipX, ) if ( Math.abs(startAngle - endAngle) < 1e-9 || Math.abs(startAngle - endAngle + Math.PI * 2) < 1e-9 ) { // Use a native <ellipse> when start and end angles are the same, and // arc paths with same start and end points don't render (at least on Safari) const element = `<g transform="rotate(${ (rotationAngle / Math.PI) * 180 } ${cx}, ${cy})"> <ellipse cx="${cx}" cy="${cy}" rx="${rx}" ry="${ry}" /> </g>` return { bbox, element } } else { const startOffset = rotate( { x: Math.cos(startAngle) * rx, y: Math.sin(startAngle) * ry, }, rotationAngle, ) const startPoint = { x: cx + startOffset.x, y: cy + startOffset.y, } const endOffset = rotate( { x: Math.cos(endAngle) * rx, y: Math.sin(endAngle) * ry, }, rotationAngle, ) const endPoint = { x: cx + endOffset.x, y: cy + endOffset.y, } const adjustedEndAngle = endAngle < startAngle ? endAngle + Math.PI * 2 : endAngle const largeArcFlag = adjustedEndAngle - startAngle < Math.PI ? 0 : 1 const d = `M ${startPoint.x} ${startPoint.y} A ${rx} ${ry} ${ (rotationAngle / Math.PI) * 180 } ${largeArcFlag} 1 ${endPoint.x} ${endPoint.y}` const element = `<path d="${d}" />` return { bbox, element } } } /** * Compute the bounding box of an elliptical arc, given the DXF entity parameters */ const bboxEllipseOrArc = ( cx, cy, majorX, majorY, axisRatio, startAngle, endAngle, flipX, ) => { // The bounding box will be defined by the starting point of the ellipse, and ending point, // and any extrema on the ellipse that are between startAngle and endAngle. // The extrema are found by setting either the x or y component of the ellipse's // tangent vector to zero and solving for the angle. // Ensure start and end angles are > 0 and well-ordered while (startAngle < 0) startAngle += Math.PI * 2 while (endAngle <= startAngle) endAngle += Math.PI * 2 // When rotated, the extrema of the ellipse will be found at these angles const angles = [] if (Math.abs(majorX) < 1e-12 || Math.abs(majorY) < 1e-12) { // Special case for majorX or majorY = 0 for (let i = 0; i < 4; i++) { angles.push((i / 2) * Math.PI) } } else { // reference https://github.com/bjnortier/dxf/issues/47#issuecomment-545915042 angles[0] = Math.atan((-majorY * axisRatio) / majorX) - Math.PI // Ensure angles < 0 angles[1] = Math.atan((majorX * axisRatio) / majorY) - Math.PI angles[2] = angles[0] - Math.PI angles[3] = angles[1] - Math.PI } // Remove angles not falling between start and end for (let i = 4; i >= 0; i--) { while (angles[i] < startAngle) angles[i] += Math.PI * 2 if (angles[i] > endAngle) { angles.splice(i, 1) } } // Also to consider are the starting and ending points: angles.push(startAngle) angles.push(endAngle) // Compute points lying on the unit circle at these angles const pts = angles.map((a) => ({ x: Math.cos(a), y: Math.sin(a), })) // Transformation matrix, formed by the major and minor axes const M = [ [majorX, -majorY * axisRatio], [majorY, majorX * axisRatio], ] // Rotate, scale, and translate points const rotatedPts = pts.map((p) => ({ x: p.x * M[0][0] + p.y * M[0][1] + cx, y: p.x * M[1][0] + p.y * M[1][1] + cy, })) // Compute extents of bounding box const bbox = rotatedPts.reduce((acc, p) => { acc.expandByPoint(p) return acc }, new Box2()) return bbox } /** * An ELLIPSE is defined by the major axis, convert to X and Y radius with * a rotation angle */ const ellipse = (entity) => { const { bbox: bbox0, element: element0 } = ellipseOrArc( entity.x, entity.y, entity.majorX, entity.majorY, entity.axisRatio, entity.startAngle, entity.endAngle, ) const { bbox, element } = addFlipXIfApplicable(entity, { bbox: bbox0, element: element0, }) return transformBoundingBoxAndElement(bbox, element, entity.transforms) } /** * An ARC is an ellipse with equal radii */ const arc = (entity) => { const { bbox: bbox0, element: element0 } = ellipseOrArc( entity.x, entity.y, entity.r, 0, 1, entity.startAngle, entity.endAngle, entity.extrusionZ === -1, ) const { bbox, element } = addFlipXIfApplicable(entity, { bbox: bbox0, element: element0, }) return transformBoundingBoxAndElement(bbox, element, entity.transforms) } export const piecewiseToPaths = (k, knots, controlPoints) => { const paths = [] let controlPointIndex = 0 let knotIndex = k while (knotIndex < knots.length - k + 1) { const m = multiplicity(knots, knotIndex) const cp = controlPoints.slice(controlPointIndex, controlPointIndex + k) if (k === 4) { paths.push( `<path d="M ${cp[0].x} ${cp[0].y} C ${cp[1].x} ${cp[1].y} ${cp[2].x} ${cp[2].y} ${cp[3].x} ${cp[3].y}" />`, ) } else if (k === 3) { paths.push( `<path d="M ${cp[0].x} ${cp[0].y} Q ${cp[1].x} ${cp[1].y} ${cp[2].x} ${cp[2].y}" />`, ) } controlPointIndex += m knotIndex += m } return paths } const bezier = (entity) => { let bbox = new Box2() entity.controlPoints.forEach((p) => { bbox = bbox.expandByPoint(p) }) const k = entity.degree + 1 const piecewise = toPiecewiseBezier(k, entity.controlPoints, entity.knots) const paths = piecewiseToPaths(k, piecewise.knots, piecewise.controlPoints) const element = `<g>${paths.join('')}</g>` return transformBoundingBoxAndElement(bbox, element, entity.transforms) } /** * Switcth the appropriate function on entity type. CIRCLE, ARC and ELLIPSE * produce native SVG elements, the rest produce interpolated polylines. */ const entityToBoundsAndElement = (entity) => { switch (entity.type) { case 'CIRCLE': return circle(entity) case 'ELLIPSE': return ellipse(entity) case 'ARC': return arc(entity) case 'SPLINE': { const hasWeights = entity.weights && entity.weights.some((w) => w !== 1) if ((entity.degree === 2 || entity.degree === 3) && !hasWeights) { try { return bezier(entity) } catch (err) { return polyline(entity) } } else { return polyline(entity) } } case 'LINE': case 'POLYLINE': { return polyline(entity) } case 'LWPOLYLINE': { return lwpolyline(entity) } default: logger.warn('entity type not supported in SVG rendering:', entity.type) return null } } export default (parsed) => { const entities = denormalise(parsed) const { bbox, elements } = entities.reduce( (acc, entity, i) => { const rgb = getRGBForEntity(parsed.tables.layers, entity) const boundsAndElement = entityToBoundsAndElement(entity) // Ignore entities like MTEXT that don't produce SVG elements if (boundsAndElement) { const { bbox, element } = boundsAndElement // Ignore invalid bounding boxes if (bbox.valid) { acc.bbox.expandByPoint(bbox.min) acc.bbox.expandByPoint(bbox.max) } acc.elements.push( `<g stroke="${rgbToColorAttribute(rgb)}">${element}</g>`, ) } return acc }, { bbox: new Box2(), elements: [], }, ) const viewBox = bbox.valid ? { x: bbox.min.x, y: -bbox.max.y, width: bbox.max.x - bbox.min.x, height: bbox.max.y - bbox.min.y, } : { x: 0, y: 0, width: 0, height: 0, } return `<?xml version="1.0"?> <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" preserveAspectRatio="xMinYMin meet" viewBox="${viewBox.x} ${viewBox.y} ${viewBox.width} ${viewBox.height}" width="100%" height="100%" > <g stroke="#000000" stroke-width="0.1%" fill="none" transform="matrix(1,0,0,-1,0,0)"> ${elements.join('\n')} </g> </svg>` }