var vows = require("vows"), _ = require("../../"), load = require("../load"), assert = require("../assert"); var suite = vows.describe("d3.geom.polygon"); suite.addBatch({ "polygon": { topic: load("geom/polygon").expression("d3.geom.polygon"), "closed counterclockwise unit square": { topic: function(polygon) { return polygon([[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]]); }, "preserves input coordinates": function(p) { assertPolygonInDelta(p, [[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]]); }, "has area 1": function(p) { assert.equal(p.area(), 1); }, "has centroid ⟨.5,.5⟩": function(p) { assertPointInDelta(p.centroid(), [.5, .5]); }, "can clip an open counterclockwise triangle": function(p) { assertPolygonInDelta(p.clip([[0.9, 0.5], [2, -1], [0.5, 0.1]]), [[0.9, 0.5], [1, 0.363636], [1, 0], [0.636363, 0], [0.5, 0.1]], 1e-4); }, "can clip a closed counterclockwise triangle": function(p) { assertPolygonInDelta(p.clip([[0.9, 0.5], [2, -1], [0.5, 0.1], [0.9, 0.5]]), [[0.9, 0.5], [1, 0.363636], [1, 0], [0.636363, 0], [0.5, 0.1], [0.9, 0.5]], 1e-4); } }, "closed clockwise unit square": { topic: function(polygon) { return polygon([[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]]); }, "preserves input coordinates": function(p) { assertPolygonInDelta(p, [[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]]); }, "has area 1": function(p) { assert.equal(p.area(), -1); }, "has centroid ⟨.5,.5⟩": function(p) { assertPointInDelta(p.centroid(), [.5, .5]); }, "is not currently supported for clipping": function(p) { // because clipping requires a counterclockwise source polygon } }, "closed clockwise triangle": { topic: function(polygon) { return polygon([[1, 1], [3, 2], [2, 3], [1, 1]]); }, "preserves input coordinates": function(p) { assertPolygonInDelta(p, [[1, 1], [3, 2], [2, 3], [1, 1]]); }, "has area 1.5": function(p) { assert.equal(p.area(), -1.5); }, "has centroid ⟨2,2⟩": function(p) { assertPointInDelta(p.centroid(), [2, 2]); }, "is not currently supported for clipping": function(p) { // because clipping requires a counterclockwise source polygon } }, "open counterclockwise unit square": { topic: function(polygon) { return polygon([[0, 0], [0, 1], [1, 1], [1, 0]]); }, "remains an open polygon": function(p) { assertPolygonInDelta(p, [[0, 0], [0, 1], [1, 1], [1, 0]]); }, "has area 1": function(p) { assert.equal(p.area(), 1); }, "has centroid ⟨.5,.5⟩": function(p) { assertPointInDelta(p.centroid(), [.5, .5]); }, "can clip an open counterclockwise triangle": function(p) { assertPolygonInDelta(p.clip([[0.9, 0.5], [2, -1], [0.5, 0.1]]), [[0.9, 0.5], [1, 0.363636], [1, 0], [0.636363, 0], [0.5, 0.1]], 1e-4); }, "can clip an closed counterclockwise triangle": function(p) { assertPolygonInDelta(p.clip([[0.9, 0.5], [2, -1], [0.5, 0.1], [0.9, 0.5]]), [[0.9, 0.5], [1, 0.363636], [1, 0], [0.636363, 0], [0.5, 0.1], [0.9, 0.5]], 1e-4); } }, "open clockwise unit square": { topic: function(polygon) { return polygon([[0, 0], [1, 0], [1, 1], [0, 1]]); }, "remains an open polygon": function(p) { assertPolygonInDelta(p, [[0, 0], [1, 0], [1, 1], [0, 1]]); }, "has area 1": function(p) { assert.equal(p.area(), -1); }, "has centroid ⟨.5,.5⟩": function(p) { assertPointInDelta(p.centroid(), [.5, .5]); }, "is not currently supported for clipping": function(p) { // because clipping requires a counterclockwise source polygon } }, "open clockwise triangle": { topic: function(polygon) { return polygon([[1, 1], [3, 2], [2, 3]]); }, "remains an open polygon": function(p) { assertPolygonInDelta(p, [[1, 1], [3, 2], [2, 3]]); }, "has area 1.5": function(p) { assert.equal(p.area(), -1.5); }, "has centroid ⟨2,2⟩": function(p) { assertPointInDelta(p.centroid(), [2, 2]); } }, "large square": { topic: function(polygon) { var r = 1e8, d = _.range(0, r, r / 1e4); return polygon( d.map(function(y) { return [0, y]; }).concat( d.map(function(x) { return [x, r]; })).concat( d.map(function(y) { return [r, y]; }).reverse()).concat( d.map(function(x) { return [x, 0]; }).reverse())); }, "has area 1e16 - 5e7": function(p) { assert.equal(p.area(), 1e16 - 5e7); } } } }); function assertPointInDelta(expected, actual, δ, message) { if (!δ) δ = 0; if (!pointInDelta(expected, actual, δ)) { assert.fail(JSON.stringify(actual), JSON.stringify(expected), message || "expected {expected}, got {actual}", "===", assertPointInDelta); } } function assertPolygonInDelta(expected, actual, δ, message) { if (!δ) δ = 0; if (expected.length !== actual.length || expected.some(function(e, i) { return !pointInDelta(e, actual[i], δ); })) { assert.fail(JSON.stringify(actual), JSON.stringify(expected), message || "expected {expected}, got {actual}", "===", assertPolygonInDelta); } } function pointInDelta(a, b, δ) { return !(Math.abs(a[0] - b[0]) > δ || Math.abs(a[1] - b[1]) > δ); } suite.export(module);