svg-path-properties
Advanced tools
Comparing version 0.1.3 to 0.2.1
@@ -1,2 +0,2 @@ | ||
// http://geoexamples.com/path-properties/ Version 0.1.3. Copyright 2017 Roger Veciana i Rovira. | ||
// http://geoexamples.com/path-properties/ Version 0.2.1. Copyright 2017 Roger Veciana i Rovira. | ||
(function (global, factory) { | ||
@@ -338,2 +338,274 @@ typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : | ||
//This file is taken from the following project: https://github.com/fontello/svgpath | ||
// Convert an arc to a sequence of cubic bézier curves | ||
// | ||
var TAU = Math.PI * 2; | ||
/* eslint-disable space-infix-ops */ | ||
// Calculate an angle between two unit vectors | ||
// | ||
// Since we measure angle between radii of circular arcs, | ||
// we can use simplified math (without length normalization) | ||
// | ||
function unit_vector_angle(ux, uy, vx, vy) { | ||
var sign = (ux * vy - uy * vx < 0) ? -1 : 1; | ||
var dot = ux * vx + uy * vy; | ||
// Add this to work with arbitrary vectors: | ||
// dot /= Math.sqrt(ux * ux + uy * uy) * Math.sqrt(vx * vx + vy * vy); | ||
// rounding errors, e.g. -1.0000000000000002 can screw up this | ||
if (dot > 1.0) { dot = 1.0; } | ||
if (dot < -1.0) { dot = -1.0; } | ||
return sign * Math.acos(dot); | ||
} | ||
// Convert from endpoint to center parameterization, | ||
// see http://www.w3.org/TR/SVG11/implnote.html#ArcImplementationNotes | ||
// | ||
// Return [cx, cy, theta1, delta_theta] | ||
// | ||
function get_arc_center(x1, y1, x2, y2, fa, fs, rx, ry, sin_phi, cos_phi) { | ||
// Step 1. | ||
// | ||
// Moving an ellipse so origin will be the middlepoint between our two | ||
// points. After that, rotate it to line up ellipse axes with coordinate | ||
// axes. | ||
// | ||
var x1p = cos_phi*(x1-x2)/2 + sin_phi*(y1-y2)/2; | ||
var y1p = -sin_phi*(x1-x2)/2 + cos_phi*(y1-y2)/2; | ||
var rx_sq = rx * rx; | ||
var ry_sq = ry * ry; | ||
var x1p_sq = x1p * x1p; | ||
var y1p_sq = y1p * y1p; | ||
// Step 2. | ||
// | ||
// Compute coordinates of the centre of this ellipse (cx', cy') | ||
// in the new coordinate system. | ||
// | ||
var radicant = (rx_sq * ry_sq) - (rx_sq * y1p_sq) - (ry_sq * x1p_sq); | ||
if (radicant < 0) { | ||
// due to rounding errors it might be e.g. -1.3877787807814457e-17 | ||
radicant = 0; | ||
} | ||
radicant /= (rx_sq * y1p_sq) + (ry_sq * x1p_sq); | ||
radicant = Math.sqrt(radicant) * (fa === fs ? -1 : 1); | ||
var cxp = radicant * rx/ry * y1p; | ||
var cyp = radicant * -ry/rx * x1p; | ||
// Step 3. | ||
// | ||
// Transform back to get centre coordinates (cx, cy) in the original | ||
// coordinate system. | ||
// | ||
var cx = cos_phi*cxp - sin_phi*cyp + (x1+x2)/2; | ||
var cy = sin_phi*cxp + cos_phi*cyp + (y1+y2)/2; | ||
// Step 4. | ||
// | ||
// Compute angles (theta1, delta_theta). | ||
// | ||
var v1x = (x1p - cxp) / rx; | ||
var v1y = (y1p - cyp) / ry; | ||
var v2x = (-x1p - cxp) / rx; | ||
var v2y = (-y1p - cyp) / ry; | ||
var theta1 = unit_vector_angle(1, 0, v1x, v1y); | ||
var delta_theta = unit_vector_angle(v1x, v1y, v2x, v2y); | ||
if (fs === 0 && delta_theta > 0) { | ||
delta_theta -= TAU; | ||
} | ||
if (fs === 1 && delta_theta < 0) { | ||
delta_theta += TAU; | ||
} | ||
return [ cx, cy, theta1, delta_theta ]; | ||
} | ||
// | ||
// Approximate one unit arc segment with bézier curves, | ||
// see http://math.stackexchange.com/questions/873224 | ||
// | ||
function approximate_unit_arc(theta1, delta_theta) { | ||
var alpha = 4/3 * Math.tan(delta_theta/4); | ||
var x1 = Math.cos(theta1); | ||
var y1 = Math.sin(theta1); | ||
var x2 = Math.cos(theta1 + delta_theta); | ||
var y2 = Math.sin(theta1 + delta_theta); | ||
return [ x1, y1, x1 - y1*alpha, y1 + x1*alpha, x2 + y2*alpha, y2 - x2*alpha, x2, y2 ]; | ||
} | ||
var a2c = function(x1, y1, rx, ry, phi, fa, fs, x2, y2) { | ||
var sin_phi = Math.sin(phi * TAU / 360); | ||
var cos_phi = Math.cos(phi * TAU / 360); | ||
// Make sure radii are valid | ||
// | ||
var x1p = cos_phi*(x1-x2)/2 + sin_phi*(y1-y2)/2; | ||
var y1p = -sin_phi*(x1-x2)/2 + cos_phi*(y1-y2)/2; | ||
if (x1p === 0 && y1p === 0) { | ||
// we're asked to draw line to itself | ||
return []; | ||
} | ||
if (rx === 0 || ry === 0) { | ||
// one of the radii is zero | ||
return []; | ||
} | ||
// Compensate out-of-range radii | ||
// | ||
rx = Math.abs(rx); | ||
ry = Math.abs(ry); | ||
var lambda = (x1p * x1p) / (rx * rx) + (y1p * y1p) / (ry * ry); | ||
if (lambda > 1) { | ||
rx *= Math.sqrt(lambda); | ||
ry *= Math.sqrt(lambda); | ||
} | ||
// Get center parameters (cx, cy, theta1, delta_theta) | ||
// | ||
var cc = get_arc_center(x1, y1, x2, y2, fa, fs, rx, ry, sin_phi, cos_phi); | ||
var result = []; | ||
var theta1 = cc[2]; | ||
var delta_theta = cc[3]; | ||
// Split an arc to multiple segments, so each segment | ||
// will be less than τ/4 (= 90°) | ||
// | ||
var segments = Math.max(Math.ceil(Math.abs(delta_theta) / (TAU / 4)), 1); | ||
delta_theta /= segments; | ||
for (var i = 0; i < segments; i++) { | ||
result.push(approximate_unit_arc(theta1, delta_theta)); | ||
theta1 += delta_theta; | ||
} | ||
// We have a bezier approximation of a unit circle, | ||
// now need to transform back to the original ellipse | ||
// | ||
return result.map(function (curve) { | ||
for (var i = 0; i < curve.length; i += 2) { | ||
var x = curve[i + 0]; | ||
var y = curve[i + 1]; | ||
// scale | ||
x *= rx; | ||
y *= ry; | ||
// rotate | ||
var xp = cos_phi*x - sin_phi*y; | ||
var yp = sin_phi*x + cos_phi*y; | ||
// translate | ||
curve[i + 0] = xp + cc[0]; | ||
curve[i + 1] = yp + cc[1]; | ||
} | ||
return curve; | ||
}); | ||
}; | ||
//Calculate ans Arc curve length and positionAtLength | ||
//Definitions taken from https://developer.mozilla.org/en-US/docs/Web/SVG/Tutorial/Paths | ||
var Arc = function(x0, y0, rx,ry, xAxisRotate, LargeArcFlag,SweepFlag, x,y) { | ||
return new Arc$1(x0, y0, rx,ry, xAxisRotate, LargeArcFlag,SweepFlag, x,y); | ||
}; | ||
function Arc$1(x0, y0,rx,ry, xAxisRotate, LargeArcFlag,SweepFlag,x,y) { | ||
var length = 0; | ||
var partialLengths = []; | ||
var curves = []; | ||
var res = a2c(x0, y0,rx,ry, xAxisRotate, LargeArcFlag,SweepFlag,x,y); | ||
res.forEach(function(d){ | ||
var curve = new Bezier(d[0], d[1], d[2], d[3], d[4], d[5], d[6], d[7]); | ||
var curveLength = curve.getTotalLength(); | ||
length += curveLength; | ||
partialLengths.push(curveLength); | ||
curves.push(curve); | ||
}); | ||
this.length = length; | ||
this.partialLengths = partialLengths; | ||
this.curves = curves; | ||
} | ||
Arc$1.prototype = { | ||
constructor: Arc$1, | ||
init: function() { | ||
}, | ||
getTotalLength: function() { | ||
return this.length; | ||
}, | ||
getPointAtLength: function(fractionLength) { | ||
if(fractionLength < 0){ | ||
fractionLength = 0; | ||
} else if(fractionLength > this.length){ | ||
fractionLength = this.length; | ||
} | ||
var i = this.partialLengths.length - 1; | ||
while(this.partialLengths[i] >= fractionLength && this.partialLengths[i] > 0){ | ||
i--; | ||
} | ||
if(i<this.partialLengths.length-1){ | ||
i++; | ||
} | ||
var lengthOffset = 0; | ||
for(var j=0; j<i; j++){ | ||
lengthOffset += this.partialLengths[j]; | ||
} | ||
return this.curves[i].getPointAtLength(fractionLength - lengthOffset); | ||
}, | ||
getTangentAtLength: function(fractionLength) { | ||
if(fractionLength < 0){ | ||
fractionLength = 0; | ||
} else if(fractionLength > this.length){ | ||
fractionLength = this.length; | ||
} | ||
var i = this.partialLengths.length - 1; | ||
while(this.partialLengths[i] >= fractionLength && this.partialLengths[i] > 0){ | ||
i--; | ||
} | ||
if(i<this.partialLengths.length-1){ | ||
i++; | ||
} | ||
var lengthOffset = 0; | ||
for(var j=0; j<i; j++){ | ||
lengthOffset += this.partialLengths[j]; | ||
} | ||
return this.curves[i].getTangentAtLength(fractionLength - lengthOffset); | ||
}, | ||
getPropertiesAtLength: function(fractionLength){ | ||
var tangent = this.getTangentAtLength(fractionLength); | ||
var point = this.getPointAtLength(fractionLength); | ||
return {x: point.x, y: point.y, tangentX: tangent.x, tangentY: tangent.y}; | ||
} | ||
}; | ||
var LinearPosition = function(x0, x1, y0, y1) { | ||
@@ -491,2 +763,14 @@ return new LinearPosition$1(x0, x1, y0, y1); | ||
functions.push(curve); | ||
} else if(parsed[i][0] === "A"){ | ||
curve = new Arc(cur[0], cur[1], parsed[i][1], parsed[i][2], parsed[i][3], parsed[i][4], parsed[i][5], parsed[i][6], parsed[i][7]); | ||
length = length + curve.getTotalLength(); | ||
cur = [parsed[i][6], parsed[i][7]]; | ||
functions.push(curve); | ||
} else if(parsed[i][0] === "a"){ | ||
curve = new Arc(cur[0], cur[1], parsed[i][1], parsed[i][2], parsed[i][3], parsed[i][4], parsed[i][5], cur[0] + parsed[i][6], cur[1] + parsed[i][7]); | ||
length = length + curve.getTotalLength(); | ||
cur = [cur[0] + parsed[i][6], cur[1] + parsed[i][7]]; | ||
functions.push(curve); | ||
} | ||
@@ -493,0 +777,0 @@ partial_lengths.push(length); |
@@ -1,2 +0,2 @@ | ||
// http://geoexamples.com/path-properties/ Version 0.1.3. Copyright 2017 Roger Veciana i Rovira. | ||
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g=Math.sin(i*P/360),u=Math.cos(i*P/360),c=u*(t-a)/2+g*(n-o)/2,f=-g*(t-a)/2+u*(n-o)/2;if(0===c&&0===f)return[];if(0===h||0===e)return[];h=Math.abs(h),e=Math.abs(e);var y=c*c/(h*h)+f*f/(e*e);y>1&&(h*=Math.sqrt(y),e*=Math.sqrt(y));var l=p(t,n,a,o,s,r,h,e,g,u),v=[],L=l[2],M=l[3],w=Math.max(Math.ceil(Math.abs(M)/(P/4)),1);M/=w;for(var d=0;d<w;d++)v.push(x(L,M)),L+=M;return v.map(function(t){for(var n=0;n<t.length;n+=2){var i=t[n+0],s=t[n+1];i*=h,s*=e;var r=u*i-g*s,a=g*i+u*s;t[n+0]=r+l[0],t[n+1]=a+l[1]}return t})},z=function(t,n,h,e,i,s,r,a,o){return new l(t,n,h,e,i,s,r,a,o)};l.prototype={constructor:l,init:function(){},getTotalLength:function(){return this.length},getPointAtLength:function(t){t<0?t=0:t>this.length&&(t=this.length);for(var n=this.partialLengths.length-1;this.partialLengths[n]>=t&&this.partialLengths[n]>0;)n--;n<this.partialLengths.length-1&&n++;for(var h=0,e=0;e<n;e++)h+=this.partialLengths[e];return this.curves[n].getPointAtLength(t-h)},getTangentAtLength:function(t){t<0?t=0:t>this.length&&(t=this.length);for(var n=this.partialLengths.length-1;this.partialLengths[n]>=t&&this.partialLengths[n]>0;)n--;n<this.partialLengths.length-1&&n++;for(var h=0,e=0;e<n;e++)h+=this.partialLengths[e];return this.curves[n].getTangentAtLength(t-h)},getPropertiesAtLength:function(t){var n=this.getTangentAtLength(t),h=this.getPointAtLength(t);return{x:h.x,y:h.y,tangentX:n.x,tangentY:n.y}}};var O=function(t,n,h,e){return new v(t,n,h,e)};v.prototype.getTotalLength=function(){return Math.sqrt(Math.pow(this.x0-this.x1,2)+Math.pow(this.y0-this.y1,2))},v.prototype.getPointAtLength=function(t){var n=t/Math.sqrt(Math.pow(this.x0-this.x1,2)+Math.pow(this.y0-this.y1,2)),h=(this.x1-this.x0)*n,e=(this.y1-this.y0)*n;return{x:this.x0+h,y:this.y0+e}},v.prototype.getTangentAtLength=function(){var t=Math.sqrt((this.x1-this.x0)*(this.x1-this.x0)+(this.y1-this.y0)*(this.y1-this.y0));return{x:(this.x1-this.x0)/t,y:(this.y1-this.y0)/t}},v.prototype.getPropertiesAtLength=function(t){var n=this.getPointAtLength(t),h=this.getTangentAtLength();return{x:n.x,y:n.y,tangentX:h.x,tangentY:h.y}};var C=function(t){function n(t){if(!t)return null;for(var s,r=w(t),a=[0,0],o=[0,0],g=0;g<r.length;g++)"M"===r[g][0]?(a=[r[g][1],r[g][2]],i.push(null)):"m"===r[g][0]?(a=[r[g][1]+a[0],r[g][2]+a[1]],i.push(null)):"L"===r[g][0]?(h+=Math.sqrt(Math.pow(a[0]-r[g][1],2)+Math.pow(a[1]-r[g][2],2)),i.push(new O(a[0],r[g][1],a[1],r[g][2])),a=[r[g][1],r[g][2]]):"l"===r[g][0]?(h+=Math.sqrt(Math.pow(r[g][1],2)+Math.pow(r[g][2],2)),i.push(new O(a[0],r[g][1]+a[0],a[1],r[g][2]+a[1])),a=[r[g][1]+a[0],r[g][2]+a[1]]):"H"===r[g][0]?(h+=Math.abs(a[0]-r[g][1]),i.push(new O(a[0],r[g][1],a[1],a[1])),a[0]=r[g][1]):"h"===r[g][0]?(h+=Math.abs(r[g][1]),i.push(new O(a[0],a[0]+r[g][1],a[1],a[1])),a[0]=r[g][1]+a[0]):"V"===r[g][0]?(h+=Math.abs(a[1]-r[g][1]),i.push(new O(a[0],a[0],a[1],r[g][1])),a[1]=r[g][1]):"v"===r[g][0]?(h+=Math.abs(r[g][1]),i.push(new O(a[0],a[0],a[1],a[1]+r[g][1])),a[1]=r[g][1]+a[1]):"z"===r[g][0]||"Z"===r[g][0]?(h+=Math.sqrt(Math.pow(r[0][1]-a[0],2)+Math.pow(r[0][2]-a[1],2)),i.push(new O(a[0],r[0][1],a[1],r[0][2])),a=[r[0][1],r[0][2]]):"C"===r[g][0]?(s=new b(a[0],a[1],r[g][1],r[g][2],r[g][3],r[g][4],r[g][5],r[g][6]),h+=s.getTotalLength(),a=[r[g][5],r[g][6]],i.push(s)):"c"===r[g][0]?(s=new b(a[0],a[1],a[0]+r[g][1],a[1]+r[g][2],a[0]+r[g][3],a[1]+r[g][4],a[0]+r[g][5],a[1]+r[g][6]),h+=s.getTotalLength(),a=[r[g][5]+a[0],r[g][6]+a[1]],i.push(s)):"S"===r[g][0]?(s=g>0&&["C","c","S","s"].indexOf(r[g-1][0])>-1?new b(a[0],a[1],2*a[0]-r[g-1][r[g-1].length-4],2*a[1]-r[g-1][r[g-1].length-3],r[g][1],r[g][2],r[g][3],r[g][4]):new b(a[0],a[1],a[0],a[1],r[g][1],r[g][2],r[g][3],r[g][4]),h+=s.getTotalLength(),a=[r[g][3],r[g][4]],i.push(s)):"s"===r[g][0]?(s=g>0&&["C","c","S","s"].indexOf(r[g-1][0])>-1?new b(a[0],a[1],a[0]+s.d.x-s.c.x,a[1]+s.d.y-s.c.y,a[0]+r[g][1],a[1]+r[g][2],a[0]+r[g][3],a[1]+r[g][4]):new b(a[0],a[1],a[0],a[1],a[0]+r[g][1],a[1]+r[g][2],a[0]+r[g][3],a[1]+r[g][4]),h+=s.getTotalLength(),a=[r[g][3]+a[0],r[g][4]+a[1]],i.push(s)):"Q"===r[g][0]?(s=new b(a[0],a[1],r[g][1],r[g][2],r[g][3],r[g][4]),h+=s.getTotalLength(),i.push(s),a=[r[g][3],r[g][4]],o=[r[g][1],r[g][2]]):"q"===r[g][0]?(s=new b(a[0],a[1],a[0]+r[g][1],a[1]+r[g][2],a[0]+r[g][3],a[1]+r[g][4]),h+=s.getTotalLength(),o=[a[0]+r[g][1],a[1]+r[g][2]],a=[r[g][3]+a[0],r[g][4]+a[1]],i.push(s)):"T"===r[g][0]?(s=g>0&&["Q","q","T","t"].indexOf(r[g-1][0])>-1?new b(a[0],a[1],2*a[0]-o[0],2*a[1]-o[1],r[g][1],r[g][2]):new O(a[0],r[g][1],a[1],r[g][2]),i.push(s),h+=s.getTotalLength(),o=[2*a[0]-o[0],2*a[1]-o[1]],a=[r[g][1],r[g][2]]):"t"===r[g][0]?(s=g>0&&["Q","q","T","t"].indexOf(r[g-1][0])>-1?new b(a[0],a[1],2*a[0]-o[0],2*a[1]-o[1],a[0]+r[g][1],a[1]+r[g][2]):new O(a[0],a[0]+r[g][1],a[1],a[1]+r[g][2]),h+=s.getTotalLength(),o=[2*a[0]-o[0],2*a[1]-o[1]],a=[r[g][1]+a[0],r[g][2]+a[0]],i.push(s)):"A"===r[g][0]?(s=new z(a[0],a[1],r[g][1],r[g][2],r[g][3],r[g][4],r[g][5],r[g][6],r[g][7]),h+=s.getTotalLength(),a=[r[g][6],r[g][7]],i.push(s)):"a"===r[g][0]&&(s=new z(a[0],a[1],r[g][1],r[g][2],r[g][3],r[g][4],r[g][5],a[0]+r[g][6],a[1]+r[g][7]),h+=s.getTotalLength(),a=[a[0]+r[g][6],a[1]+r[g][7]],i.push(s)),e.push(h);return n}var h=0,e=[],i=[];n.getTotalLength=function(){return h},n.getPointAtLength=function(t){var n=s(t);return i[n.i].getPointAtLength(n.fraction)},n.getTangentAtLength=function(t){var n=s(t);return i[n.i].getTangentAtLength(n.fraction)},n.getPropertiesAtLength=function(t){var n=s(t);return i[n.i].getPropertiesAtLength(n.fraction)};var s=function(t){t<0?t=0:t>h&&(t=h);for(var n=e.length-1;e[n]>=t&&e[n]>0;)n--;return n++,{fraction:t-e[n-1],i:n}};return n(t)};t.svgPathProperties=C,t.parse=w,t.Bezier=b,Object.defineProperty(t,"__esModule",{value:!0})}); |
{ | ||
"name": "svg-path-properties", | ||
"version": "0.1.3", | ||
"version": "0.2.1", | ||
"description": "Calculate the length for an SVG path, to use it with node or a Canvas element", | ||
@@ -23,3 +23,4 @@ "keywords": [ | ||
"prepublish": "npm run test && uglifyjs --preamble \"$(preamble)\" build/path-properties.js -c -m -o build/path-properties.min.js", | ||
"postpublish": "git push && git push --tags" | ||
"postpublish": "git push && git push --tags", | ||
"postversion": "npm run prepublish" | ||
}, | ||
@@ -26,0 +27,0 @@ "author": { |
import parse from "./parse"; | ||
import Bezier from "./bezier"; | ||
import Arc from "./arc"; | ||
import LinearPosition from "./linear"; | ||
@@ -121,2 +122,14 @@ | ||
functions.push(curve); | ||
} else if(parsed[i][0] === "A"){ | ||
curve = new Arc(cur[0], cur[1], parsed[i][1], parsed[i][2], parsed[i][3], parsed[i][4], parsed[i][5], parsed[i][6], parsed[i][7]); | ||
length = length + curve.getTotalLength(); | ||
cur = [parsed[i][6], parsed[i][7]]; | ||
functions.push(curve); | ||
} else if(parsed[i][0] === "a"){ | ||
curve = new Arc(cur[0], cur[1], parsed[i][1], parsed[i][2], parsed[i][3], parsed[i][4], parsed[i][5], cur[0] + parsed[i][6], cur[1] + parsed[i][7]); | ||
length = length + curve.getTotalLength(); | ||
cur = [cur[0] + parsed[i][6], cur[1] + parsed[i][7]]; | ||
functions.push(curve); | ||
} | ||
@@ -123,0 +136,0 @@ partial_lengths.push(length); |
License Policy Violation
LicenseThis package is not allowed per your license policy. Review the package's license to ensure compliance.
Found 1 instance in 1 package
License Policy Violation
LicenseThis package is not allowed per your license policy. Review the package's license to ensure compliance.
Found 1 instance in 1 package
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