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Fix polygon.centroid for open polygons.

The implementation assumed closed polygons, but it should work on either. This
is a partial fix for #443.
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commit 85ad3c16b031f2e21969123fbf3749f796623226 1 parent f67e895
@mbostock authored
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8 d3.geom.js
@@ -192,16 +192,16 @@ d3.geom.polygon = function(coordinates) {
coordinates.centroid = function(k) {
var i = -1,
- n = coordinates.length - 1,
+ n = coordinates.length,
x = 0,
y = 0,
a,
- b,
+ b = coordinates[n - 1],
c;
if (!arguments.length) k = -1 / (6 * coordinates.area());
while (++i < n) {
- a = coordinates[i];
- b = coordinates[i + 1];
+ a = b;
+ b = coordinates[i];
c = a[0] * b[1] - b[0] * a[1];
x += (a[0] + b[0]) * c;
y += (a[1] + b[1]) * c;
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2  d3.geom.min.js
@@ -1 +1 @@
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i(){return{leaf:!0,nodes:[],point:null}}function j(a,b,c,d,e,f){if(!a(b,c,d,e,f)){var g=(c+e)*.5,h=(d+f)*.5,i=b.nodes;i[0]&&j(a,i[0],c,d,g,h),i[1]&&j(a,i[1],g,d,e,h),i[2]&&j(a,i[2],c,h,g,f),i[3]&&j(a,i[3],g,h,e,f)}}function k(a){return{x:a[0],y:a[1]}}d3.geom={},d3.geom.contour=function(d,e){var f=e||c(d),g=[],h=f[0],i=f[1],j=0,k=0,l=NaN,m=NaN,n=0;do n=0,d(h-1,i-1)&&(n+=1),d(h,i-1)&&(n+=2),d(h-1,i)&&(n+=4),d(h,i)&&(n+=8),n===6?(j=m===-1?-1:1,k=0):n===9?(j=0,k=l===1?-1:1):(j=a[n],k=b[n]),j!=l&&k!=m&&(g.push([h,i]),l=j,m=k),h+=j,i+=k;while(f[0]!=h||f[1]!=i);return g};var a=[1,0,1,1,-1,0,-1,1,0,0,0,0,-1,0,-1,NaN],b=[0,-1,0,0,0,-1,0,0,1,-1,1,1,0,-1,0,NaN];d3.geom.hull=function(a){if(a.length<3)return[];var b=a.length,c=b-1,e=[],f=[],g,h,i=0,j,k,l,m,n,o,p,q;for(g=1;g<b;++g)a[g][1]<a[i][1]?i=g:a[g][1]==a[i][1]&&(i=a[g][0]<a[i][0]?g:i);for(g=0;g<b;++g){if(g===i)continue;k=a[g][1]-a[i][1],j=a[g][0]-a[i][0],e.push({angle:Math.atan2(k,j),index:g})}e.sort(function(a,b){return a.angle-b.angle}),p=e[0].angle,o=e[0].index,n=0;for(g=1;g<c;++g)h=e[g].index,p==e[g].angle?(j=a[o][0]-a[i][0],k=a[o][1]-a[i][1],l=a[h][0]-a[i][0],m=a[h][1]-a[i][1],j*j+k*k>=l*l+m*m?e[g].index=-1:(e[n].index=-1,p=e[g].angle,n=g,o=h)):(p=e[g].angle,n=g,o=h);f.push(i);for(g=0,h=0;g<2;++h)e[h].index!==-1&&(f.push(e[h].index),g++);q=f.length;for(;h<c;++h){if(e[h].index===-1)continue;while(!d(f[q-2],f[q-1],e[h].index,a))--q;f[q++]=e[h].index}var r=[];for(g=0;g<q;++g)r.push(a[f[g]]);return r},d3.geom.polygon=function(a){return a.area=function(){var b=0,c=a.length,d=a[c-1][0]*a[0][1],e=a[c-1][1]*a[0][0];while(++b<c)d+=a[b-1][0]*a[b][1],e+=a[b-1][1]*a[b][0];return(e-d)*.5},a.centroid=function(b){var c=-1,d=a.length,e=0,f=0,g,h=a[d-1],i;arguments.length||(b=-1/(6*a.area()));while(++c<d)g=h,h=a[c],i=g[0]*h[1]-h[0]*g[1],e+=(g[0]+h[0])*i,f+=(g[1]+h[1])*i;return[e*b,f*b]},a.clip=function(b){var c,d=-1,g=a.length,h,i,j=a[g-1],k,l,m;while(++d<g){c=b.slice(),b.length=0,k=a[d],l=c[(i=c.length)-1],h=-1;while(++h<i)m=c[h],e(m,j,k)?(e(l,j,k)||b.push(f(l,m,j,k)),b.push(m)):e(l,j,k)&&b.push(f(l,m,j,k)),l=m;j=k}return b},a},d3.geom.voronoi=function(a){var b=a.map(function(){return[]});return h(a,function(a){var c,d,e,f,g,h;a.a===1&&a.b>=0?(c=a.ep.r,d=a.ep.l):(c=a.ep.l,d=a.ep.r),a.a===1?(g=c?c.y:-1e6,e=a.c-a.b*g,h=d?d.y:1e6,f=a.c-a.b*h):(e=c?c.x:-1e6,g=a.c-a.a*e,f=d?d.x:1e6,h=a.c-a.a*f);var i=[e,g],j=[f,h];b[a.region.l.index].push(i,j),b[a.region.r.index].push(i,j)}),b.map(function(b,c){var d=a[c][0],e=a[c][1];return b.forEach(function(a){a.angle=Math.atan2(a[0]-d,a[1]-e)}),b.sort(function(a,b){return a.angle-b.angle}).filter(function(a,c){return!c||a.angle-b[c-1].angle>1e-10})})};var g={l:"r",r:"l"};d3.geom.delaunay=function(a){var b=a.map(function(){return[]}),c=[];return h(a,function(c){b[c.region.l.index].push(a[c.region.r.index])}),b.forEach(function(b,d){var e=a[d],f=e[0],g=e[1];b.forEach(function(a){a.angle=Math.atan2(a[0]-f,a[1]-g)}),b.sort(function(a,b){return a.angle-b.angle});for(var h=0,i=b.length-1;h<i;h++)c.push([e,b[h],b[h+1]])}),c},d3.geom.quadtree=function(a,b,c,d,e){function n(a,b,c,d,e,f){if(isNaN(b.x)||isNaN(b.y))return;if(a.leaf){var g=a.point;g?Math.abs(g.x-b.x)+Math.abs(g.y-b.y)<.01?o(a,b,c,d,e,f):(a.point=null,o(a,g,c,d,e,f),o(a,b,c,d,e,f)):a.point=b}else o(a,b,c,d,e,f)}function o(a,b,c,d,e,f){var g=(c+e)*.5,h=(d+f)*.5,j=b.x>=g,k=b.y>=h,l=(k<<1)+j;a.leaf=!1,a=a.nodes[l]||(a.nodes[l]=i()),j?c=g:e=g,k?d=h:f=h,n(a,b,c,d,e,f)}var f,g=-1,h=a.length;h&&isNaN(a[0].x)&&(a=a.map(k));if(arguments.length<5)if(arguments.length===3)e=d=c,c=b;else{b=c=Infinity,d=e=-Infinity;while(++g<h)f=a[g],f.x<b&&(b=f.x),f.y<c&&(c=f.y),f.x>d&&(d=f.x),f.y>e&&(e=f.y);var l=d-b,m=e-c;l>m?e=c+l:d=b+m}var p=i();return p.add=function(a){n(p,a,b,c,d,e)},p.visit=function(a){j(a,p,b,c,d,e)},a.forEach(p.add),p}})();
View
8 src/geom/polygon.js
@@ -15,16 +15,16 @@ d3.geom.polygon = function(coordinates) {
coordinates.centroid = function(k) {
var i = -1,
- n = coordinates.length - 1,
+ n = coordinates.length,
x = 0,
y = 0,
a,
- b,
+ b = coordinates[n - 1],
c;
if (!arguments.length) k = -1 / (6 * coordinates.area());
while (++i < n) {
- a = coordinates[i];
- b = coordinates[i + 1];
+ a = b;
+ b = coordinates[i];
c = a[0] * b[1] - b[0] * a[1];
x += (a[0] + b[0]) * c;
y += (a[1] + b[1]) * c;
View
58 test/geom/polygon-test.js
@@ -8,49 +8,75 @@ var vows = require("vows"),
var suite = vows.describe("d3.geom.polygon");
suite.addBatch({
- "counterclockwise polygon (last point equal to start point)": {
+ "closed counterclockwise unit square": {
topic: function() {
return d3.geom.polygon([[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]]);
},
- "area": function(polygon) {
+ "has area 1": function(polygon) {
assert.equal(polygon.area(), 1);
},
- "centroid": function(polygon) {
+ "has centroid ⟨.5,.5⟩": function(polygon) {
assert.deepEqual(polygon.centroid(), [.5, .5]);
}
},
- "counterclockwise polygon (implicitly ending at start point)": {
+ "closed clockwise unit square": {
topic: function() {
- return d3.geom.polygon([[0, 0], [0, 1], [1, 1], [1, 0]]);
+ return d3.geom.polygon([[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]]);
},
- "area": function(polygon) {
- assert.equal(polygon.area(), 1);
+ "has area 1": function(polygon) {
+ assert.equal(polygon.area(), -1);
},
- "centroid": function(polygon) {
+ "has centroid ⟨.5,.5⟩": function(polygon) {
assert.deepEqual(polygon.centroid(), [.5, .5]);
}
},
- "clockwise polygon (last point equal to start point)": {
+ "closed clockwise triangle": {
topic: function() {
- return d3.geom.polygon([[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]]);
+ return d3.geom.polygon([[1, 1], [3, 2], [2, 3], [1, 1]]);
},
- "area": function(polygon) {
- assert.equal(polygon.area(), -1);
+ "has area 1.5": function(polygon) {
+ assert.equal(polygon.area(), -1.5);
+ },
+ "has centroid ⟨2,2⟩": function(polygon) {
+ var centroid = polygon.centroid();
+ assert.inDelta(centroid[0], 2, 1e-6);
+ assert.inDelta(centroid[1], 2, 1e-6);
+ }
+ },
+ "open counterclockwise unit square": {
+ topic: function() {
+ return d3.geom.polygon([[0, 0], [0, 1], [1, 1], [1, 0]]);
},
- "centroid": function(polygon) {
+ "has area 1": function(polygon) {
+ assert.equal(polygon.area(), 1);
+ },
+ "has centroid ⟨.5,.5⟩": function(polygon) {
assert.deepEqual(polygon.centroid(), [.5, .5]);
}
},
- "clockwise polygon (implicitly ending at start point)": {
+ "open clockwise unit square": {
topic: function() {
return d3.geom.polygon([[0, 0], [1, 0], [1, 1], [0, 1]]);
},
- "area": function(polygon) {
+ "has area 1": function(polygon) {
assert.equal(polygon.area(), -1);
},
- "centroid": function(polygon) {
+ "has centroid ⟨.5,.5⟩": function(polygon) {
assert.deepEqual(polygon.centroid(), [.5, .5]);
}
+ },
+ "open clockwise triangle": {
+ topic: function() {
+ return d3.geom.polygon([[1, 1], [3, 2], [2, 3]]);
+ },
+ "has area 1.5": function(polygon) {
+ assert.equal(polygon.area(), -1.5);
+ },
+ "has centroid ⟨2,2⟩": function(polygon) {
+ var centroid = polygon.centroid();
+ assert.inDelta(centroid[0], 2, 1e-6);
+ assert.inDelta(centroid[1], 2, 1e-6);
+ }
}
});
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