@bluemath/geom

/* Copyright (C) 2017 Jayesh Salvi, Blue Math Software Inc. This file is part of bluemath. bluemath is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. bluemath is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with bluemath. If not, see <http://www.gnu.org/licenses/>. */ export const DATA = [ { "groupname" : "Curves", "objects" : [ { "name": "Quadratic Bezier 0", "type": "BezierCurve", "object": { "degree": 2, "cpoints": [ [0, 1], [1, 0], [0, -1] ] } }, { "name": "Cubic Bezier 0", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-3, 1], [0, 3], [1, -1], [3, 3] ] } }, { "name": "Cubic Bezier 1", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [1, -3], [3, 0], [-1, 1], [3, 4.5] ] } }, { "name": "Cubic Bezier 2", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [0.25, -0.3], [0.5, 0.0], [0.75, -0.1], [1.0, 0.45] ] } }, { "name": "Cubic Bezier 3", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-3, -3], [3, 0], [-1, 1], [3, 4.5] ] } }, { "name": "Cubic Bezier 4", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-2.5, -3], [0, 3], [1, -1], [2.5, 4.5] ] } }, { "name": "Cubic Bezier 3 (3D)", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-3, -3, 0.0], [3, 0, 0.0], [-1, 1, 0.0], [3, 4.5, 0.0] ] } }, { "name": "Cubic Bezier 4 (3D)", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-2.5, -3, 0.0], [0, 3, 0.0], [1, -1, 0.0], [2.5, 4.5, 0.0] ] } }, { "name": "Cubic Bezier 5 (3D)", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [-2.5, -3, -1.0], [0, 3, 0.0], [1, -1, 1.0], [-1.5, -4.5, 0] ] } }, { "name": "Rational Bezier 0", "type": "BezierCurve", "object": { "degree": 2, "cpoints": [ [1, 0], [1, 1], [0, 1] ], "weights": [ 1, 0.70710678, 1 ] } }, { "name": "Rational Bezier 1", "type": "BezierCurve", "object": { "degree": 3, "cpoints": [ [0.5, 0], [2, 2.5], [3, -2.5], [5, 3] ], "weights": [ 1, 0.5, 2, 1 ] } }, { "name": "Simple BSpline 0", "type": "BSplineCurve", "object": { "degree": 2, "cpoints": [ [-5, -5], [-2, 0], [-1, 5], [-0.5, 2], [0.5, 2], [1, 5], [2, 0], [5, -5] ], "knots": [ 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 0.8, 1, 1, 1 ] } }, { "name": "Quadratic Bezier as BSpline", "type": "BSplineCurve", "object": { "degree": 2, "knots": [0, 0, 0, 1, 1, 1], "cpoints": [ [1, 0], [1, 1], [0, 1] ] } }, { "name": "Cubic Bezier as BSpline", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 1, 1, 1, 1], "cpoints": [ [1, 0], [0.5, 1], [-0.5, 1], [-1, 0] ] } }, { "name": "Simple BSpline 1", "type": "BSplineCurve", "object": { "degree": 2, "knots": [0, 0, 0, 1, 1, 1], "cpoints": [ [-5, -5], [0.5, 2], [5, -5] ] } }, { "name": "Simple BSpline 2", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1, 1, 1, 1], "cpoints": [ [-3, -2], [-1, -1], [0, -5], [3, -5], [4, 0], [3, 5], [0, 5], [-1, 1] ] } }, { "name": "Simple BSpline 3", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 0.25, 0.5, 0.75, 1, 1, 1, 1], "cpoints": [ [-1, 0], [0, 0], [0, 1], [1, 1], [1.5, 0], [1, -1], [0, -1] ] } }, { "name": "Simple BSpline 4", "type": "BSplineCurve", "object": { "degree": 2, "knots": [0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1, 1, 1], "cpoints": [ [-1, 0], [-1, 1], [0, 1], [0, -1], [1, -1], [0.75, 0.5], [2, 0.5] ] } }, { "name": "Simple BSpline 5", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 0.25, 0.5, 0.75, 1, 1, 1, 1], "cpoints": [ [-1, 0], [-1, 1], [0, 1], [0, 0], [1, 0], [1.75, 0.5], [1.2, 1.5] ] } }, { "name": "Simple BSpline 6", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 0.2, 0.2, 0.3, 1, 1, 1, 1], "cpoints": [ [-1, 0], [-1, 1], [0, 1], [0, 0], [1, 0], [1.75, 0.5], [1.2, 1.5] ] } }, { "name": "Simple BSpline 7", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 0.7, 0.7, 0.9, 1, 1, 1, 1], "cpoints": [ [-1, 0], [-1, 1], [0, 1], [0, 0], [1, 0], [1.75, 0.5], [1.2, 1.5] ] } }, { "name": "Simple BSpline 8 (3D)", "type": "BSplineCurve", "object": { "degree": 3, "knots": [0, 0, 0, 0, 1, 1, 1, 1], "cpoints": [ [-1, -1, 2], [-1, 0, 1], [1, 1, 1], [-1, 2, 0] ] } }, { "name": "Rational BSpline 0", "type": "BSplineCurve", "object": { "degree": 2, "knots": [ 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 0.8, 1, 1, 1 ], "cpoints": [ [-5, -5], [-2, 0], [-1, 5], [-0.5, 2], [0.5, 2], [1, 5], [2, 0], [5, -5] ], "weights": [ 1, 1, 1, 1, 1, 1, 3, 1 ] } }, { "name": "Straight line as BSpline", "type": "BSplineCurve", "object": { "degree": 1, "knots": [0, 0, 1, 1], "cpoints": [ [0, 0], [4, 5] ] } }, { "name": "Full Circle (4 segments)", "type": "BSplineCurve", "object": { "degree": 2, "knots": [0, 0, 0, 0.25, 0.25, 0.5, 0.5, 0.75, 0.75, 1, 1, 1], "weights": [ 1, 0.70710678, 1, 0.707106781, 1, 0.707106781, 1, 0.707106781, 1 ], "cpoints": [ [1, 0], [1, 1], [0, 1], [-1, 1], [-1, 0], [-1, -1], [0, -1], [1, -1], [1, 0] ] } }, { "name": "Full Circle (3 segments)", "type": "BSplineCurve", "object": { "degree": 2, "knots": [0, 0, 0, 0.333, 0.333, 0.666, 0.666, 1, 1, 1], "weights": [ 1, 0.5, 1, 0.5, 1, 0.5, 1 ], "cpoints": [ [0.866, 0.5], [0, 2], [-0.866, 0.5], [-1.732, -1], [0, -1], [1.732, -1], [0.866, 0.5] ] } } ] }, { "groupname" : "Surfaces", "objects" : [ { "name" : "Simple Bezier surface 0" , "type" : "BezSurf", "object" : { "u_degree" : 3, "v_degree" : 2, "cpoints" : [ [[-1,-1,0],[0,-1,0],[1,-1,0]], [[-1,0,1],[0,0,2],[1,0,-1]], [[-1,1,0],[0,1,0],[1,1,0]], [[-1,2,0],[0,2,0],[1,2,0]] ] } }, { "name" : "Simple Rational Bezier surface 0" , "type" : "BezSurf", "object" : { "u_degree" : 3, "v_degree" : 2, "cpoints" : [ [[-1,-1,0],[0,-1,0],[1,-1,0]], [[-1,0,1],[0,0,2],[1,0,-1]], [[-1,1,0],[0,1,0],[1,1,0]], [[-1,2,0],[0,2,0],[1,2,0]] ], "weights" : [ [1,2,1], [1,1,1], [3,1,1], [1,1,1] ] } }, { "name" : "Simple BSurf 0", "type" :"BSurf", "object" : { "u_degree" : 2, "v_degree" : 2, "u_knots" : [0,0,0,1,1,1], "v_knots" : [0,0,0,1,1,1], "cpoints" : [ [[-1,-1,0],[0,-1,0],[1,-1,0]], [[-1,0,1],[0,0,2],[1,0,-1]], [[-1,1,0],[0,1,0],[1,1,0]] ] } }, { "name" : "Simple BSurf 1", "type" : "BSurf", "comment" : "As defined in 'The NURBS book' Fig 5.9", "object" : { "u_degree" : 3, "v_degree" : 2, "u_knots" : [0,0,0,0,1,1,1,1], "v_knots" : [0,0,0,0.5,1,1,1], "cpoints" :[ [ [-1,-1,2],[0,-1,1],[1,-1,1],[2,-1,1] ], [ [-1,0,1],[0,0,1],[1,0,1],[2,0,1] ], [ [-1,1,1],[0,1,-1],[1,1,-1],[2,1,-1] ], [ [-1,2,0],[0,2,0],[1,2,-1],[2,2,-1] ] ] } }, { "name" : "Simple BSurf 2", "type" : "BSurf", "comment" : "u goes top-bottom, v goes left-right", "object" : { "u_degree" : 3, "v_degree" : 2, "u_knots" : [0,0,0,0,0.5,0.75,1,1,1,1], "v_knots" : [0,0,0,0.5,1,1,1], "cpoints" :[ [ [-1,-1,2],[0,-1,1],[1,-1,1],[2,-1,1] ], [ [-1,0,1],[0,0,1],[1,0,1],[2,0,1] ], [ [-1,1,1],[0,1,-1],[1,1,-1],[2,1,-1] ], [ [-1,2,0],[0,2,0],[1,2,-1],[2,2,-1] ], [ [-1,3,0],[0,3,0],[1,3,-1],[2,3,-1] ], [ [-1,5,0],[0,5,0],[1,5,-1],[2,5,-1] ] ] } }, { "name" : "Rational BSurf", "type" : "BSurf", "object" : { "u_degree" : 3, "v_degree" : 2, "u_knots" : [0,0,0,0,0.5,0.75,1,1,1,1], "v_knots" : [0,0,0,0.5,1,1,1], "cpoints" :[ [ [-1,-1,2],[0,-1,1],[1,-1,1],[2,-1,1] ], [ [-1,0,1],[0,0,1],[1,0,1],[2,0,1] ], [ [-1,1,1],[0,1,-1],[1,1,-1],[2,1,-1] ], [ [-1,2,0],[0,2,0],[1,2,-1],[2,2,-1] ], [ [-1,3,0],[0,3,0],[1,3,-1],[2,3,-1] ], [ [-1,5,0],[0,5,0],[1,5,-1],[2,5,-1] ] ], "weights" : [ [ 1.4, 1, 1, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 1, 1 ], [ 1, 1, 1, 1 ] ] } } ] }, { "groupname" : "Specific Curves", "objects" : [ { "name" : "Line1", "type" : "LineSegment", "object" : { "from" : [0,1], "to" : [0,4] } }, { "name" : "CircleArc1", "type" : "CircleArc", "object" : { "radius" : 4, "coord" : { origin : [0,0,0], x : [1,0,0], z : [0,0,1] }, "start" : Math.PI/4, "end" : 3*Math.PI/2 } }, { "name" : "Circle", "type" : "Circle", "object" : { "radius" : 4, "coord" : { origin : [0,0,0], x : [1,0,0], z : [0,1,0] } } } ] }, { "groupname" : "Specific Surfaces", "objects" : [ { "name" : "Bilinear Surf 1", "type" : "BilinearSurface", "object" : { p00 : [-1,-1,0], p01 : [1,-1,1], p10 : [-1,1,1], p11 : [1,1,0] } }, { "name" : "Flat Plane Z_1", "type" : "BilinearSurface", "object" : { p00 : [-1,-1,1], p01 : [1,-1,1], p10 : [-1,1,1], p11 : [1,1,1] } }, { "name" : "General Cylinder 1", "type" : "GeneralCylinder", "object" : { "curve" : "Simple BSpline 2", "direction" : [0,0,1], "height" : 2 } }, { "name" : "General Cylinder 2", "type" : "GeneralCylinder", "object" : { "curve" : "Rational BSpline 0", "direction" : [0,0,1], "height" : 2 } }, { "name" : "Cylinder 1", "type" : "Cylinder", "object" : { "coord" : { origin : [0,0,0], x : [1,0,0], z : [0,1,0] }, "radius" : 2, "height" : 4 } }, { "name" : "Cylinder 2", "type" : "Cylinder", "object" : { "coord" : { origin : [0,0,0], x : [1,0,0], z : [0,0,1] }, "radius" : 2, "height" : 4 } }, ] }, { "groupname" : "Actions", "objects" : [ { "name" : "Split Bezier 0", "type" : "Action", "object" : { "actiontype" : "split_curve", "input" : "Cubic Bezier 0", "parameter" : 0.4 } }, { "name" : "Split Bezier 1", "type" : "Action", "object" : { "actiontype" : "split_curve", "input" : "Cubic Bezier 1", "parameter" : 0.4 } }, { "name" : "Insert Knot in Simple BSpline 5", "type" : "Action", "object" : { "actiontype" : "insert_knot_curve", "input" : "Simple BSpline 5", "knot_to_insert" : 0.6, "num_insertions" : 1 } }, { "name" : "Insert 3 Knots in Simple BSpline 5", "type" : "Action", "object" : { "actiontype" : "insert_knot_curve", "input" : "Simple BSpline 5", "knot_to_insert" : 0.24, "num_insertions" : 2 } }, { "name" : "Refine knots of Simple BSpline 5", "type" : "Action", "object" : { "actiontype" : "refine_knot_curve", "input" : "Simple BSpline 5", "knots_to_add" : [0.6,0.6,0.7] } }, { "name" : "Subdivide Simple BSpline 5 into two halves", "type" : "Action", "object" : { "actiontype" : "refine_knot_curve", "input" : "Simple BSpline 5", "knots_to_add" : [0.5,0.5] } }, { "name" : "Subdivide Simple BSpline 6 into two halves", "type" : "Action", "object" : { "actiontype" : "refine_knot_curve", "input" : "Simple BSpline 6", "knots_to_add" : [0.5,0.5,0.5] } }, { "name" : "Subdivide Simple BSpline 7 into two halves", "type" : "Action", "object" : { "actiontype" : "refine_knot_curve", "input" : "Simple BSpline 7", "knots_to_add" : [0.5,0.5,0.5] } }, { "name" : "Split Simple BSpline 5 in the middle", "type" : "Action", "object" : { "actiontype" : "split_curve", "input" : "Simple BSpline 5", "parameter" : 0.5 } }, { "name" : "Split Simple BSpline 6 in the middle", "type" : "Action", "object" : { "actiontype" : "split_curve", "input" : "Simple BSpline 6", "parameter" : 0.5 } }, { "name" : "Split Simple BSpline 7 in the middle", "type" : "Action", "object" : { "actiontype" : "split_curve", "input" : "Simple BSpline 7", "parameter" : 0.5 } }, { "name" : "Decompose Simple BSpline 5", "type" : "Action", "object" : { "actiontype" : "decompose_curve", "input" : "Simple BSpline 5" } }, { "name" : "Insert u Knot in Simple BSurf 1", "type" : "Action", "object" : { "actiontype" : "insert_knot_surf", "input" : "Simple BSurf 1", "u_knot_to_insert" : 0.5, "num_insertions_u" : 1 } }, { "name" : "Insert v Knot in Simple BSurf 1", "type" : "Action", "object" : { "actiontype" : "insert_knot_surf", "input" : "Simple BSurf 1", "v_knot_to_insert" : 0.5, "num_insertions_v" : 1 } }, { "name" : "Refine u Knot in Simple BSurf 1", "type" : "Action", "object" : { "actiontype" : "refine_knot_surf", "input" : "Simple BSurf 1", "u_knots_to_add" : [0.3,0.5,0.5] } }, { "name" : "Refine v Knot in Simple BSurf 1", "type" : "Action", "object" : { "actiontype" : "refine_knot_surf", "input" : "Simple BSurf 1", "v_knots_to_add" : [0.5,0.9,0.9] } }, { "name" : "Decompose Simple BSurf 1", "type" : "Action", "object" : { "actiontype" : "decompose_surf", "input" : "Simple BSurf 1" } }, { "name" : "Decompose Simple BSurf 2", "type" : "Action", "object" : { "actiontype" : "decompose_surf", "input" : "Simple BSurf 2" } }, { "name" : "Split Simple BSurf 2 at uk", "type" : "Action", "object" : { "actiontype" : "split_u_surf", "input" : "Simple BSurf 2", "u_split" : 0.6 } }, { "name" : "Split Simple BSurf 2 at vk", "type" : "Action", "object" : { "actiontype" : "split_v_surf", "input" : "Simple BSurf 2", "v_split" : 0.6 } }, { "name" : "Split Simple BSurf 2 at uk and vk", "type" : "Action", "object" : { "actiontype" : "split_uv_surf", "input" : "Simple BSurf 2", "u_split" : 0.5, "v_split" : 0.6 } }, { "name" : "Tessellate Simple BSurf 1 adaptively", "type" : "Action", "object" : { "actiontype" : "tess_adaptive_bsurf", "input" : "Simple BSurf 1" } }, { "name" : "Tessellate Simple BSurf 2 adaptively", "type" : "Action", "object" : { "actiontype" : "tess_adaptive_bsurf", "input" : "Simple BSurf 2" } } ] } ];