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@jscad/modeling

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Constructive Solid Geometry (CSG) Library for JSCAD

openjscad.xyz

jscad/OpenJSCAD.org

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const test = require('ava') const geom3 = require('../geometries/geom3') const { sphere } = require('./index') const comparePolygonsAsPoints = require('../../test/helpers/comparePolygonsAsPoints') test('sphere (defaults)', (t) => { const obs = sphere() const pts = geom3.toPoints(obs) t.notThrows(() => geom3.validate(obs)) t.is(pts.length, 512) }) test('sphere (options)', (t) => { // test radius let obs = sphere({ radius: 5, segments: 12 }) let pts = geom3.toPoints(obs) let exp = [] t.notThrows(() => geom3.validate(obs)) t.is(pts.length, 72) // t.true(comparePolygonsAsPoints(pts, exp)) // test segments obs = sphere({ segments: 8 }) pts = geom3.toPoints(obs) exp = [ [[1, 0, 0], [0.7071067811865476, -0.7071067811865475, 0], [0.5000000000000001, -0.5, -0.7071067811865475], [0.7071067811865476, 0, -0.7071067811865475]], [[0.7071067811865476, 0, 0.7071067811865475], [0.5000000000000001, -0.5, 0.7071067811865475], [0.7071067811865476, -0.7071067811865475, 0], [1, 0, 0]], [[0.7071067811865476, 0, -0.7071067811865475], [0.5000000000000001, -0.5, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [0.5000000000000001, -0.5, 0.7071067811865475], [0.7071067811865476, 0, 0.7071067811865475]], [[0.7071067811865476, -0.7071067811865475, 0], [0, -1, 0], [0, -0.7071067811865476, -0.7071067811865475], [0.5000000000000001, -0.5, -0.7071067811865475]], [[0.5000000000000001, -0.5, 0.7071067811865475], [0, -0.7071067811865476, 0.7071067811865475], [0, -1, 0], [0.7071067811865476, -0.7071067811865475, 0]], [[0.5000000000000001, -0.5, -0.7071067811865475], [0, -0.7071067811865476, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [0, -0.7071067811865476, 0.7071067811865475], [0.5000000000000001, -0.5, 0.7071067811865475]], [[0, -1, 0], [-0.7071067811865475, -0.7071067811865476, 0], [-0.5, -0.5000000000000001, -0.7071067811865475], [0, -0.7071067811865476, -0.7071067811865475]], [[0, -0.7071067811865476, 0.7071067811865475], [-0.5, -0.5000000000000001, 0.7071067811865475], [-0.7071067811865475, -0.7071067811865476, 0], [0, -1, 0]], [[0, -0.7071067811865476, -0.7071067811865475], [-0.5, -0.5000000000000001, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [-0.5, -0.5000000000000001, 0.7071067811865475], [0, -0.7071067811865476, 0.7071067811865475]], [[-0.7071067811865475, -0.7071067811865476, 0], [-1, 0, 0], [-0.7071067811865476, 0, -0.7071067811865475], [-0.5, -0.5000000000000001, -0.7071067811865475]], [[-0.5, -0.5000000000000001, 0.7071067811865475], [-0.7071067811865476, 0, 0.7071067811865475], [-1, 0, 0], [-0.7071067811865475, -0.7071067811865476, 0]], [[-0.5, -0.5000000000000001, -0.7071067811865475], [-0.7071067811865476, 0, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [-0.7071067811865476, 0, 0.7071067811865475], [-0.5, -0.5000000000000001, 0.7071067811865475]], [[-1, 0, 0], [-0.7071067811865477, 0.7071067811865475, 0], [-0.5000000000000001, 0.5, -0.7071067811865475], [-0.7071067811865476, 0, -0.7071067811865475]], [[-0.7071067811865476, 0, 0.7071067811865475], [-0.5000000000000001, 0.5, 0.7071067811865475], [-0.7071067811865477, 0.7071067811865475, 0], [-1, 0, 0]], [[-0.7071067811865476, 0, -0.7071067811865475], [-0.5000000000000001, 0.5, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [-0.5000000000000001, 0.5, 0.7071067811865475], [-0.7071067811865476, 0, 0.7071067811865475]], [[-0.7071067811865477, 0.7071067811865475, 0], [0, 1, 0], [0, 0.7071067811865476, -0.7071067811865475], [-0.5000000000000001, 0.5, -0.7071067811865475]], [[-0.5000000000000001, 0.5, 0.7071067811865475], [0, 0.7071067811865476, 0.7071067811865475], [0, 1, 0], [-0.7071067811865477, 0.7071067811865475, 0]], [[-0.5000000000000001, 0.5, -0.7071067811865475], [0, 0.7071067811865476, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [0, 0.7071067811865476, 0.7071067811865475], [-0.5000000000000001, 0.5, 0.7071067811865475]], [[0, 1, 0], [0.7071067811865474, 0.7071067811865477, 0], [0.4999999999999999, 0.5000000000000001, -0.7071067811865475], [0, 0.7071067811865476, -0.7071067811865475]], [[0, 0.7071067811865476, 0.7071067811865475], [0.4999999999999999, 0.5000000000000001, 0.7071067811865475], [0.7071067811865474, 0.7071067811865477, 0], [0, 1, 0]], [[0, 0.7071067811865476, -0.7071067811865475], [0.4999999999999999, 0.5000000000000001, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [0.4999999999999999, 0.5000000000000001, 0.7071067811865475], [0, 0.7071067811865476, 0.7071067811865475]], [[0.7071067811865474, 0.7071067811865477, 0], [1, 0, 0], [0.7071067811865476, 0, -0.7071067811865475], [0.4999999999999999, 0.5000000000000001, -0.7071067811865475]], [[0.4999999999999999, 0.5000000000000001, 0.7071067811865475], [0.7071067811865476, 0, 0.7071067811865475], [1, 0, 0], [0.7071067811865474, 0.7071067811865477, 0]], [[0.4999999999999999, 0.5000000000000001, -0.7071067811865475], [0.7071067811865476, 0, -0.7071067811865475], [0, 0, -1]], [[0, 0, 1], [0.7071067811865476, 0, 0.7071067811865475], [0.4999999999999999, 0.5000000000000001, 0.7071067811865475]] ] t.notThrows(() => geom3.validate(obs)) t.is(pts.length, 32) t.true(comparePolygonsAsPoints(pts, exp)) // test center obs = sphere({ center: [-3, 5, 7], segments: 8 }) pts = geom3.toPoints(obs) exp = [ [[-2, 5, 7], [-2.2928932188134525, 4.292893218813452, 7], [-2.5, 4.5, 6.292893218813452], [-2.2928932188134525, 5, 6.292893218813452]], [[-2.2928932188134525, 5, 7.707106781186548], [-2.5, 4.5, 7.707106781186548], [-2.2928932188134525, 4.292893218813452, 7], [-2, 5, 7]], [[-2.2928932188134525, 5, 6.292893218813452], [-2.5, 4.5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-2.5, 4.5, 7.707106781186548], [-2.2928932188134525, 5, 7.707106781186548]], [[-2.2928932188134525, 4.292893218813452, 7], [-3, 4, 7], [-3, 4.292893218813452, 6.292893218813452], [-2.5, 4.5, 6.292893218813452]], [[-2.5, 4.5, 7.707106781186548], [-3, 4.292893218813452, 7.707106781186548], [-3, 4, 7], [-2.2928932188134525, 4.292893218813452, 7]], [[-2.5, 4.5, 6.292893218813452], [-3, 4.292893218813452, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-3, 4.292893218813452, 7.707106781186548], [-2.5, 4.5, 7.707106781186548]], [[-3, 4, 7], [-3.7071067811865475, 4.292893218813452, 7], [-3.5, 4.5, 6.292893218813452], [-3, 4.292893218813452, 6.292893218813452]], [[-3, 4.292893218813452, 7.707106781186548], [-3.5, 4.5, 7.707106781186548], [-3.7071067811865475, 4.292893218813452, 7], [-3, 4, 7]], [[-3, 4.292893218813452, 6.292893218813452], [-3.5, 4.5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-3.5, 4.5, 7.707106781186548], [-3, 4.292893218813452, 7.707106781186548]], [[-3.7071067811865475, 4.292893218813452, 7], [-4, 5, 7], [-3.7071067811865475, 5, 6.292893218813452], [-3.5, 4.5, 6.292893218813452]], [[-3.5, 4.5, 7.707106781186548], [-3.7071067811865475, 5, 7.707106781186548], [-4, 5, 7], [-3.7071067811865475, 4.292893218813452, 7]], [[-3.5, 4.5, 6.292893218813452], [-3.7071067811865475, 5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-3.7071067811865475, 5, 7.707106781186548], [-3.5, 4.5, 7.707106781186548]], [[-4, 5, 7], [-3.707106781186548, 5.707106781186548, 7], [-3.5, 5.5, 6.292893218813452], [-3.7071067811865475, 5, 6.292893218813452]], [[-3.7071067811865475, 5, 7.707106781186548], [-3.5, 5.5, 7.707106781186548], [-3.707106781186548, 5.707106781186548, 7], [-4, 5, 7]], [[-3.7071067811865475, 5, 6.292893218813452], [-3.5, 5.5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-3.5, 5.5, 7.707106781186548], [-3.7071067811865475, 5, 7.707106781186548]], [[-3.707106781186548, 5.707106781186548, 7], [-3, 6, 7], [-3, 5.707106781186548, 6.292893218813452], [-3.5, 5.5, 6.292893218813452]], [[-3.5, 5.5, 7.707106781186548], [-3, 5.707106781186548, 7.707106781186548], [-3, 6, 7], [-3.707106781186548, 5.707106781186548, 7]], [[-3.5, 5.5, 6.292893218813452], [-3, 5.707106781186548, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-3, 5.707106781186548, 7.707106781186548], [-3.5, 5.5, 7.707106781186548]], [[-3, 6, 7], [-2.2928932188134525, 5.707106781186548, 7], [-2.5, 5.5, 6.292893218813452], [-3, 5.707106781186548, 6.292893218813452]], [[-3, 5.707106781186548, 7.707106781186548], [-2.5, 5.5, 7.707106781186548], [-2.2928932188134525, 5.707106781186548, 7], [-3, 6, 7]], [[-3, 5.707106781186548, 6.292893218813452], [-2.5, 5.5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-2.5, 5.5, 7.707106781186548], [-3, 5.707106781186548, 7.707106781186548]], [[-2.2928932188134525, 5.707106781186548, 7], [-2, 5, 7], [-2.2928932188134525, 5, 6.292893218813452], [-2.5, 5.5, 6.292893218813452]], [[-2.5, 5.5, 7.707106781186548], [-2.2928932188134525, 5, 7.707106781186548], [-2, 5, 7], [-2.2928932188134525, 5.707106781186548, 7]], [[-2.5, 5.5, 6.292893218813452], [-2.2928932188134525, 5, 6.292893218813452], [-3, 5, 6]], [[-3, 5, 8], [-2.2928932188134525, 5, 7.707106781186548], [-2.5, 5.5, 7.707106781186548]] ] t.notThrows(() => geom3.validate(obs)) t.is(pts.length, 32) t.true(comparePolygonsAsPoints(pts, exp)) }) test('sphere (zero radius)', (t) => { const obs = sphere({ radius: 0 }) const pts = geom3.toPoints(obs) t.notThrows(() => geom3.validate(obs)) t.is(pts.length, 0) })