mirror of
https://github.com/BelfrySCAD/BOSL2.git
synced 2024-12-29 16:29:40 +00:00
In-depth review
Besides param validation and some formating, changes: A. add new functions: 1. _valid_line() 2. _valid_plane() 3. line_from_points() 4. projection_on_plane() 5. points_on_plane() B. rename/redefine/remove functions: 1. points_are_coplanar() >> coplanar() 2. collinear() works with list of points as well as coplanar() 3. find_noncollinear_points >> noncollinear_triple 4. collinear_indexed() removed 5. polygon_is_convex() >> is_convex_polygon() C. recode/optimize the codes of the functions: 1. point_on_segment2d() 2. point_left_of_line2d() 3. distance_from_line() 4. line_closest_point() 5. plane_from_polygon() 6. _general_plane_line_intersection() 7. polygon_line_intersection() 8. find_circle_2tangents() 9. find_circle_3points() 10. polygon_area() 11. is_convex_polygon() 12. reindex_polygon() 13. centroid() 14. polygon_is_clockwise() 15. clockwise_polygon() 16. ccw_polygon() The function name changes were updated in: test_geometry.scad hull.scad rounding.scad vnf.scad Regression tests for the new external functions were included in test_geometry.scad. Unsolved questions: 1. why sorting the indices in plane_from_points and polygon_line_intersection? 2. aren't redundant plane_from_polygon() and plane_from_points()?
This commit is contained in:
RonaldoCMP
parent
4019084904
commit
3bf22cd236
2 changed files with 910 additions and 483 deletions
874
geometry.scad
874
geometry.scad
File diff suppressed because it is too large
Load diff
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@ -1,6 +1,144 @@
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include <../std.scad>
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//the commented lines are for tests to be written
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//the tests are ordered as they appear in geometry.scad
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test_point_on_segment2d();
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test_point_left_of_line2d();
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test_collinear();
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test_distance_from_line();
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test_line_normal();
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test_line_intersection();
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//test_line_ray_intersection();
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test_line_segment_intersection();
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//test_ray_intersection();
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//test_ray_segment_intersection();
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test_segment_intersection();
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test_line_closest_point();
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//test_ray_closest_point();
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test_segment_closest_point();
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test_line_from_points();
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test_tri_calc();
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//test_hyp_opp_to_adj();
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//test_hyp_ang_to_adj();
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//test_opp_ang_to_adj();
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//test_hyp_adj_to_opp();
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//test_hyp_ang_to_opp();
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//test_adj_ang_to_opp();
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//test_adj_opp_to_hyp();
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//test_adj_ang_to_hyp();
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//test_opp_ang_to_hyp();
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//test_hyp_adj_to_ang();
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//test_hyp_opp_to_ang();
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//test_adj_opp_to_ang();
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test_triangle_area();
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test_plane3pt();
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test_plane3pt_indexed();
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//test_plane_from_normal();
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test_plane_from_points();
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//test_plane_from_polygon();
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test_plane_normal();
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//test_plane_offset();
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//test_plane_transform();
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test_plane_projection();
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//test_plane_point_nearest_origin();
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test_distance_from_plane();
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test_find_circle_2tangents();
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test_find_circle_3points();
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test_circle_point_tangents();
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test_tri_functions();
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//test_closest_point_on_plane();
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//test__general_plane_line_intersection();
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//test_plane_line_angle();
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//test_plane_line_intersection();
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//test_polygon_line_intersection();
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//test_plane_intersection();
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test_coplanar();
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test_points_on_plane();
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test_in_front_of_plane();
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//test_find_circle_2tangents();
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//test_find_circle_3points();
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//test_circle_point_tangents();
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//test_circle_circle_tangents();
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test_noncollinear_triple();
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test_pointlist_bounds();
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test_closest_point();
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test_furthest_point();
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test_polygon_area();
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test_is_convex_polygon();
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test_polygon_shift();
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test_polygon_shift_to_closest_point();
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test_reindex_polygon();
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test_align_polygon();
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test_centroid();
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test_point_in_polygon();
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test_polygon_is_clockwise();
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test_clockwise_polygon();
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test_ccw_polygon();
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test_reverse_polygon();
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//test_polygon_normal();
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//test_split_polygons_at_each_x();
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//test_split_polygons_at_each_y();
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//test_split_polygons_at_each_z();
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//tests to migrate to other files
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test_is_path();
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test_is_closed_path();
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test_close_path();
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test_cleanup_path();
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test_simplify_path();
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test_simplify_path_indexed();
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test_is_region();
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// to be used when there are two alternative symmetrical outcomes
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// from a function like a plane output.
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function standardize(v) =
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v==[]? [] :
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sign([for(vi=v) if( ! approx(vi,0)) vi,0 ][0])*v;
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module test_points_on_plane() {
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pts = [for(i=[0:40]) rands(-1,1,3) ];
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dir = rands(-10,10,3);
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normal0 = unit([1,2,3]);
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ang = rands(0,360,1)[0];
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normal = rot(a=ang,p=normal0);
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plane = [each normal, normal*dir];
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prj_pts = plane_projection(plane,pts);
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assert(points_on_plane(prj_pts,plane));
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assert(!points_on_plane(concat(pts,[normal-dir]),plane));
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}
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*test_points_on_plane();
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module test_plane_projection(){
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ang = rands(0,360,1)[0];
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dir = rands(-10,10,3);
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normal0 = unit([1,2,3]);
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normal = rot(a=ang,p=normal0);
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plane0 = [each normal0, 0];
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plane = [each normal, 0];
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planem = [each normal, normal*dir];
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pts = [for(i=[1:10]) rands(-1,1,3)];
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assert_approx( plane_projection(plane,pts),
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plane_projection(plane,plane_projection(plane,pts)));
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assert_approx( plane_projection(plane,pts),
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rot(a=ang,p=plane_projection(plane0,rot(a=-ang,p=pts))));
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assert_approx( move((-normal*dir)*normal,p=plane_projection(planem,pts)),
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plane_projection(plane,pts));
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assert_approx( move((normal*dir)*normal,p=plane_projection(plane,pts)),
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plane_projection(planem,pts));
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}
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*test_plane_projection();
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module test_line_from_points() {
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assert_approx(line_from_points([[1,0],[0,0],[-1,0]]),[[-1,0],[1,0]]);
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assert_approx(line_from_points([[1,1],[0,1],[-1,1]]),[[-1,1],[1,1]]);
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assert(line_from_points([[1,1],[0,1],[-1,0]])==undef);
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assert(line_from_points([[1,1],[0,1],[-1,0]],fast=true)== [[-1,0],[1,1]]);
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}
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*test_line_from_points();
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module test_point_on_segment2d() {
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assert(point_on_segment2d([-15,0], [[-10,0], [10,0]]) == false);
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assert(point_on_segment2d([-10,0], [[-10,0], [10,0]]) == true);
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@ -29,42 +167,28 @@ module test_point_on_segment2d() {
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assert(point_on_segment2d([ 10, 10], [[-10,-10], [10,10]]) == true);
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assert(point_on_segment2d([ 15, 15], [[-10,-10], [10,10]]) == false);
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}
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test_point_on_segment2d();
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*test_point_on_segment2d();
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module test_point_left_of_segment() {
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assert(point_left_of_segment2d([ -3, 0], [[-10,-10], [10,10]]) > 0);
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assert(point_left_of_segment2d([ 0, 0], [[-10,-10], [10,10]]) == 0);
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assert(point_left_of_segment2d([ 3, 0], [[-10,-10], [10,10]]) < 0);
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module test_point_left_of_line2d() {
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assert(point_left_of_line2d([ -3, 0], [[-10,-10], [10,10]]) > 0);
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assert(point_left_of_line2d([ 0, 0], [[-10,-10], [10,10]]) == 0);
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assert(point_left_of_line2d([ 3, 0], [[-10,-10], [10,10]]) < 0);
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}
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test_point_left_of_segment();
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*test_point_left_of_line2d();
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module test_collinear() {
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assert(collinear([-10,-10], [-15, -16], [10,10]) == false);
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assert(collinear([[-10,-10], [-15, -16], [10,10]]) == false);
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assert(collinear([-10,-10], [-15, -15], [10,10]) == true);
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assert(collinear([[-10,-10], [-15, -15], [10,10]]) == true);
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assert(collinear([-10,-10], [ -3, 0], [10,10]) == false);
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assert(collinear([-10,-10], [ 0, 0], [10,10]) == true);
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assert(collinear([-10,-10], [ 3, 0], [10,10]) == false);
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assert(collinear([-10,-10], [ 15, 15], [10,10]) == true);
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assert(collinear([-10,-10], [ 15, 16], [10,10]) == false);
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}
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test_collinear();
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module test_collinear_indexed() {
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pts = [
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[-20,-20], [-10,-20], [0,-10], [10,0], [20,10], [20,20], [15,30]
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];
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assert(collinear_indexed(pts, 0,1,2) == false);
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assert(collinear_indexed(pts, 1,2,3) == true);
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assert(collinear_indexed(pts, 2,3,4) == true);
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assert(collinear_indexed(pts, 3,4,5) == false);
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assert(collinear_indexed(pts, 4,5,6) == false);
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assert(collinear_indexed(pts, 4,3,2) == true);
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assert(collinear_indexed(pts, 0,5,6) == false);
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}
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test_collinear_indexed();
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*test_collinear();
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module test_distance_from_line() {
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@ -73,7 +197,7 @@ module test_distance_from_line() {
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assert(abs(distance_from_line([[-10,-10,-10], [10,10,10]], [1,-1,0]) - sqrt(2)) < EPSILON);
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assert(abs(distance_from_line([[-10,-10,-10], [10,10,10]], [8,-8,0]) - 8*sqrt(2)) < EPSILON);
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}
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test_distance_from_line();
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*test_distance_from_line();
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module test_line_normal() {
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@ -97,7 +221,7 @@ module test_line_normal() {
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assert(approx(n2, n1));
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}
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}
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test_line_normal();
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*test_line_normal();
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module test_line_intersection() {
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@ -110,7 +234,7 @@ module test_line_intersection() {
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assert(line_intersection([[-10,-10], [ 10, 10]], [[ 10,-10], [-10, 10]]) == [0,0]);
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assert(line_intersection([[ -8, 0], [ 12, 4]], [[ 12, 0], [ -8, 4]]) == [2,2]);
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}
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test_line_intersection();
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*test_line_intersection();
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module test_segment_intersection() {
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@ -126,7 +250,7 @@ module test_segment_intersection() {
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assert(segment_intersection([[-10,-10], [ 10, 10]], [[ 10,-10], [-10, 10]]) == [0,0]);
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assert(segment_intersection([[ -8, 0], [ 12, 4]], [[ 12, 0], [ -8, 4]]) == [2,2]);
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}
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test_segment_intersection();
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*test_segment_intersection();
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module test_line_segment_intersection() {
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@ -141,7 +265,7 @@ module test_line_segment_intersection() {
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assert(line_segment_intersection([[-10,-10], [ 10, 10]], [[ 10,-10], [ 1, -1]]) == undef);
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assert(line_segment_intersection([[-10,-10], [ 10, 10]], [[ 10,-10], [ -1, 1]]) == [0,0]);
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}
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test_line_segment_intersection();
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*test_line_segment_intersection();
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module test_line_closest_point() {
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@ -151,7 +275,7 @@ module test_line_closest_point() {
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assert(approx(line_closest_point([[-10,-20], [10,20]], [1,2]+[2,-1]), [1,2]));
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assert(approx(line_closest_point([[-10,-20], [10,20]], [13,31]), [15,30]));
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}
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test_line_closest_point();
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*test_line_closest_point();
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module test_segment_closest_point() {
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@ -162,10 +286,10 @@ module test_segment_closest_point() {
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assert(approx(segment_closest_point([[-10,-20], [10,20]], [13,31]), [10,20]));
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assert(approx(segment_closest_point([[-10,-20], [10,20]], [15,25]), [10,20]));
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}
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test_segment_closest_point();
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*test_segment_closest_point();
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module test_find_circle_2tangents() {
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//** missing tests with arg tangent=true
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assert(approx(find_circle_2tangents([10,10],[0,0],[10,-10],r=10/sqrt(2))[0],[10,0]));
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assert(approx(find_circle_2tangents([-10,10],[0,0],[-10,-10],r=10/sqrt(2))[0],[-10,0]));
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assert(approx(find_circle_2tangents([-10,10],[0,0],[10,10],r=10/sqrt(2))[0],[0,10]));
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@ -174,9 +298,9 @@ module test_find_circle_2tangents() {
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assert(approx(find_circle_2tangents([10,0],[0,0],[0,-10],r=10)[0],[10,-10]));
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assert(approx(find_circle_2tangents([0,-10],[0,0],[-10,0],r=10)[0],[-10,-10]));
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assert(approx(find_circle_2tangents([-10,0],[0,0],[0,10],r=10)[0],[-10,10]));
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assert(approx(find_circle_2tangents(polar_to_xy(10,60),[0,0],[10,0],r=10)[0],polar_to_xy(20,30)));
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assert_approx(find_circle_2tangents(polar_to_xy(10,60),[0,0],[10,0],r=10)[0],polar_to_xy(20,30));
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}
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test_find_circle_2tangents();
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*test_find_circle_2tangents();
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module test_find_circle_3points() {
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@ -291,7 +415,7 @@ module test_find_circle_3points() {
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}
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}
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}
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test_find_circle_3points();
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*test_find_circle_3points();
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module test_circle_point_tangents() {
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@ -304,7 +428,7 @@ module test_circle_point_tangents() {
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assert(approx(flatten(got), flatten(expected)));
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}
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}
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test_circle_point_tangents();
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*test_circle_point_tangents();
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module test_tri_calc() {
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@ -327,23 +451,9 @@ module test_tri_calc() {
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assert(approx(tri_calc(hyp=hyp, ang2=ang2), expected));
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}
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}
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test_tri_calc();
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*test_tri_calc();
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// Dummy modules to show up in coverage check script.
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module test_hyp_opp_to_adj();
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module test_hyp_ang_to_adj();
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module test_opp_ang_to_adj();
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module test_hyp_adj_to_opp();
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module test_hyp_ang_to_opp();
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module test_adj_ang_to_opp();
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module test_adj_opp_to_hyp();
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module test_adj_ang_to_hyp();
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module test_opp_ang_to_hyp();
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module test_hyp_adj_to_ang();
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module test_hyp_opp_to_ang();
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module test_adj_opp_to_ang();
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module test_tri_functions() {
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sides = rands(1,100,100,seed_value=8181);
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for (p = pair_wrap(sides)) {
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@ -365,7 +475,7 @@ module test_tri_functions() {
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assert_approx(adj_opp_to_ang(adj,opp), ang);
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}
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}
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test_tri_functions();
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*test_tri_functions();
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module test_triangle_area() {
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@ -373,7 +483,7 @@ module test_triangle_area() {
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assert(abs(triangle_area([0,0], [0,10], [0,15])) < EPSILON);
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assert(abs(triangle_area([0,0], [10,0], [0,10]) - 50) < EPSILON);
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}
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test_triangle_area();
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*test_triangle_area();
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module test_plane3pt() {
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@ -384,8 +494,7 @@ module test_plane3pt() {
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assert(plane3pt([0,0,0], [10,10,0], [20,0,0]) == [0,0,1,0]);
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assert(plane3pt([0,0,2], [10,10,2], [20,0,2]) == [0,0,1,2]);
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}
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test_plane3pt();
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*test_plane3pt();
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module test_plane3pt_indexed() {
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pts = [ [0,0,0], [10,0,0], [0,10,0], [0,0,10] ];
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@ -395,11 +504,11 @@ module test_plane3pt_indexed() {
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assert(plane3pt_indexed(pts, 0,1,3) == [0,1,0,0]);
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assert(plane3pt_indexed(pts, 0,3,1) == [0,-1,0,0]);
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assert(plane3pt_indexed(pts, 0,2,1) == [0,0,1,0]);
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assert(plane3pt_indexed(pts, 0,1,2) == [0,0,-1,0]);
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assert(plane3pt_indexed(pts, 3,2,1) == [s13,s13,s13,10*s13]);
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assert(plane3pt_indexed(pts, 1,2,3) == [-s13,-s13,-s13,-10*s13]);
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assert_approx(plane3pt_indexed(pts, 0,1,2), [0,0,-1,0]);
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assert_approx(plane3pt_indexed(pts, 3,2,1), [s13,s13,s13,10*s13]);
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assert_approx(plane3pt_indexed(pts, 1,2,3), [-s13,-s13,-s13,-10*s13]);
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}
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test_plane3pt_indexed();
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*test_plane3pt_indexed();
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|
||||
module test_plane_from_points() {
|
||||
|
|
@ -410,7 +519,7 @@ module test_plane_from_points() {
|
|||
assert(plane_from_points([[0,0,0], [10,10,0], [20,0,0], [8,3,0]]) == [0,0,1,0]);
|
||||
assert(plane_from_points([[0,0,2], [10,10,2], [20,0,2], [3,4,2]]) == [0,0,1,2]);
|
||||
}
|
||||
test_plane_from_points();
|
||||
*test_plane_from_points();
|
||||
|
||||
|
||||
module test_plane_normal() {
|
||||
|
|
@ -421,7 +530,7 @@ module test_plane_normal() {
|
|||
assert(plane_normal(plane3pt([0,0,0], [10,10,0], [20,0,0])) == [0,0,1]);
|
||||
assert(plane_normal(plane3pt([0,0,2], [10,10,2], [20,0,2])) == [0,0,1]);
|
||||
}
|
||||
test_plane_normal();
|
||||
*test_plane_normal();
|
||||
|
||||
|
||||
module test_distance_from_plane() {
|
||||
|
|
@ -429,20 +538,16 @@ module test_distance_from_plane() {
|
|||
assert(distance_from_plane(plane1, [0,0,5]) == 5);
|
||||
assert(distance_from_plane(plane1, [5,5,8]) == 8);
|
||||
}
|
||||
test_distance_from_plane();
|
||||
*test_distance_from_plane();
|
||||
|
||||
|
||||
module test_coplanar() {
|
||||
plane = plane3pt([0,0,0], [0,10,10], [10,0,10]);
|
||||
assert(coplanar(plane, [5,5,10]) == true);
|
||||
assert(coplanar(plane, [10/3,10/3,20/3]) == true);
|
||||
assert(coplanar(plane, [0,0,0]) == true);
|
||||
assert(coplanar(plane, [1,1,0]) == false);
|
||||
assert(coplanar(plane, [-1,1,0]) == true);
|
||||
assert(coplanar(plane, [1,-1,0]) == true);
|
||||
assert(coplanar(plane, [5,5,5]) == false);
|
||||
assert(coplanar([ [5,5,1],[0,0,1],[-1,-1,1] ]) == false);
|
||||
assert(coplanar([ [5,5,1],[0,0,0],[-1,-1,1] ]) == true);
|
||||
assert(coplanar([ [0,0,0],[1,0,1],[1,1,1], [0,1,2] ]) == false);
|
||||
assert(coplanar([ [0,0,0],[1,0,1],[1,1,2], [0,1,1] ]) == true);
|
||||
}
|
||||
test_coplanar();
|
||||
*test_coplanar();
|
||||
|
||||
|
||||
module test_in_front_of_plane() {
|
||||
|
|
@ -455,7 +560,7 @@ module test_in_front_of_plane() {
|
|||
assert(in_front_of_plane(plane, [0,0,5]) == true);
|
||||
assert(in_front_of_plane(plane, [0,0,-5]) == false);
|
||||
}
|
||||
test_in_front_of_plane();
|
||||
*test_in_front_of_plane();
|
||||
|
||||
|
||||
module test_is_path() {
|
||||
|
|
@ -470,35 +575,43 @@ module test_is_path() {
|
|||
assert(is_path([[1,2,3],[4,5,6]]));
|
||||
assert(is_path([[1,2,3],[4,5,6],[7,8,9]]));
|
||||
}
|
||||
test_is_path();
|
||||
*test_is_path();
|
||||
|
||||
|
||||
module test_is_closed_path() {
|
||||
assert(!is_closed_path([[1,2,3],[4,5,6],[1,8,9]]));
|
||||
assert(is_closed_path([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]));
|
||||
}
|
||||
test_is_closed_path();
|
||||
*test_is_closed_path();
|
||||
|
||||
|
||||
module test_close_path() {
|
||||
assert(close_path([[1,2,3],[4,5,6],[1,8,9]]) == [[1,2,3],[4,5,6],[1,8,9],[1,2,3]]);
|
||||
assert(close_path([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]) == [[1,2,3],[4,5,6],[1,8,9],[1,2,3]]);
|
||||
}
|
||||
test_close_path();
|
||||
*test_close_path();
|
||||
|
||||
|
||||
module test_cleanup_path() {
|
||||
assert(cleanup_path([[1,2,3],[4,5,6],[1,8,9]]) == [[1,2,3],[4,5,6],[1,8,9]]);
|
||||
assert(cleanup_path([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]) == [[1,2,3],[4,5,6],[1,8,9]]);
|
||||
}
|
||||
test_cleanup_path();
|
||||
*test_cleanup_path();
|
||||
|
||||
|
||||
module test_polygon_area() {
|
||||
assert(approx(polygon_area([[1,1],[-1,1],[-1,-1],[1,-1]]), 4));
|
||||
assert(approx(polygon_area(circle(r=50,$fn=1000)), -PI*50*50, eps=0.1));
|
||||
}
|
||||
test_polygon_area();
|
||||
*test_polygon_area();
|
||||
|
||||
|
||||
module test_is_convex_polygon() {
|
||||
assert(is_convex_polygon([[1,1],[-1,1],[-1,-1],[1,-1]]));
|
||||
assert(is_convex_polygon(circle(r=50,$fn=1000)));
|
||||
assert(!is_convex_polygon([[1,1],[0,0],[-1,1],[-1,-1],[1,-1]]));
|
||||
}
|
||||
*test_is_convex_polygon();
|
||||
|
||||
|
||||
module test_polygon_shift() {
|
||||
|
|
@ -506,7 +619,7 @@ module test_polygon_shift() {
|
|||
assert(polygon_shift(path,1) == [[-1,1],[-1,-1],[1,-1],[1,1]]);
|
||||
assert(polygon_shift(path,2) == [[-1,-1],[1,-1],[1,1],[-1,1]]);
|
||||
}
|
||||
test_polygon_shift();
|
||||
*test_polygon_shift();
|
||||
|
||||
|
||||
module test_polygon_shift_to_closest_point() {
|
||||
|
|
@ -516,56 +629,45 @@ module test_polygon_shift_to_closest_point() {
|
|||
assert(polygon_shift_to_closest_point(path,[-1.1,-1.1]) == [[-1,-1],[1,-1],[1,1],[-1,1]]);
|
||||
assert(polygon_shift_to_closest_point(path,[1.1,-1.1]) == [[1,-1],[1,1],[-1,1],[-1,-1]]);
|
||||
}
|
||||
test_polygon_shift_to_closest_point();
|
||||
*test_polygon_shift_to_closest_point();
|
||||
|
||||
|
||||
/*
|
||||
module test_first_noncollinear(){
|
||||
pts = [
|
||||
[1,1], [2,2], [3,3], [4,4], [4,5], [5,6]
|
||||
];
|
||||
assert(first_noncollinear(0,1,pts) == 4);
|
||||
assert(first_noncollinear(1,0,pts) == 4);
|
||||
assert(first_noncollinear(0,2,pts) == 4);
|
||||
assert(first_noncollinear(2,0,pts) == 4);
|
||||
assert(first_noncollinear(1,2,pts) == 4);
|
||||
assert(first_noncollinear(2,1,pts) == 4);
|
||||
assert(first_noncollinear(0,3,pts) == 4);
|
||||
assert(first_noncollinear(3,0,pts) == 4);
|
||||
assert(first_noncollinear(1,3,pts) == 4);
|
||||
assert(first_noncollinear(3,1,pts) == 4);
|
||||
assert(first_noncollinear(2,3,pts) == 4);
|
||||
assert(first_noncollinear(3,2,pts) == 4);
|
||||
assert(first_noncollinear(0,4,pts) == 1);
|
||||
assert(first_noncollinear(4,0,pts) == 1);
|
||||
assert(first_noncollinear(1,4,pts) == 0);
|
||||
assert(first_noncollinear(4,1,pts) == 0);
|
||||
assert(first_noncollinear(2,4,pts) == 0);
|
||||
assert(first_noncollinear(4,2,pts) == 0);
|
||||
assert(first_noncollinear(3,4,pts) == 0);
|
||||
assert(first_noncollinear(4,3,pts) == 0);
|
||||
assert(first_noncollinear(0,5,pts) == 1);
|
||||
assert(first_noncollinear(5,0,pts) == 1);
|
||||
assert(first_noncollinear(1,5,pts) == 0);
|
||||
assert(first_noncollinear(5,1,pts) == 0);
|
||||
assert(first_noncollinear(2,5,pts) == 0);
|
||||
assert(first_noncollinear(5,2,pts) == 0);
|
||||
assert(first_noncollinear(3,5,pts) == 0);
|
||||
assert(first_noncollinear(5,3,pts) == 0);
|
||||
assert(first_noncollinear(4,5,pts) == 0);
|
||||
assert(first_noncollinear(5,4,pts) == 0);
|
||||
module test_reindex_polygon() {
|
||||
pent = subdivide_path([for(i=[0:4])[sin(72*i),cos(72*i)]],5);
|
||||
circ = circle($fn=5,r=2.2);
|
||||
assert_approx(reindex_polygon(circ,pent), [[0.951056516295,0.309016994375],[0.587785252292,-0.809016994375],[-0.587785252292,-0.809016994375],[-0.951056516295,0.309016994375],[0,1]]);
|
||||
poly = [[-1,1],[-1,-1],[1,-1],[1,1],[0,0]];
|
||||
ref = [for(i=[0:4])[sin(72*i),cos(72*i)]];
|
||||
assert_approx(reindex_polygon(ref,poly),[[0,0],[1,1],[1,-1],[-1,-1],[-1,1]]);
|
||||
}
|
||||
test_first_noncollinear();
|
||||
*/
|
||||
*test_reindex_polygon();
|
||||
|
||||
|
||||
module test_find_noncollinear_points() {
|
||||
assert(find_noncollinear_points([[1,1],[2,2],[3,3],[4,4],[4,5],[5,6]]) == [0,5,3]);
|
||||
assert(find_noncollinear_points([[1,1],[2,2],[8,3],[4,4],[4,5],[5,6]]) == [0,2,5]);
|
||||
module test_align_polygon() {
|
||||
pentagon = subdivide_path(pentagon(side=2),10);
|
||||
hexagon = subdivide_path(hexagon(side=2.7),10);
|
||||
aligned = [[2.7,0],[2.025,-1.16913429511],[1.35,-2.33826859022],
|
||||
[-1.35,-2.33826859022],[-2.025,-1.16913429511],[-2.7,0],
|
||||
[-2.025,1.16913429511],[-1.35,2.33826859022],[1.35,2.33826859022],
|
||||
[2.025,1.16913429511]];
|
||||
assert_approx(align_polygon(pentagon,hexagon,[0:10:359]), aligned);
|
||||
aligned2 = [[1.37638192047,0],[1.37638192047,-1],[0.425325404176,-1.30901699437],
|
||||
[-0.525731112119,-1.61803398875],[-1.11351636441,-0.809016994375],
|
||||
[-1.7013016167,0],[-1.11351636441,0.809016994375],
|
||||
[-0.525731112119,1.61803398875],[0.425325404176,1.30901699437],
|
||||
[1.37638192047,1]];
|
||||
assert_approx(align_polygon(hexagon,pentagon,[0:10:359]), aligned2);
|
||||
}
|
||||
*test_align_polygon();
|
||||
|
||||
|
||||
module test_noncollinear_triple() {
|
||||
assert(noncollinear_triple([[1,1],[2,2],[3,3],[4,4],[4,5],[5,6]]) == [0,5,3]);
|
||||
assert(noncollinear_triple([[1,1],[2,2],[8,3],[4,4],[4,5],[5,6]]) == [0,2,5]);
|
||||
u = unit([5,3]);
|
||||
assert_equal(find_noncollinear_points([for(i = [2,3,4,5,7,12,15]) i * u], error=false),[]);
|
||||
assert_equal(noncollinear_triple([for(i = [2,3,4,5,7,12,15]) i * u], error=false),[]);
|
||||
}
|
||||
test_find_noncollinear_points();
|
||||
*test_noncollinear_triple();
|
||||
|
||||
|
||||
module test_centroid() {
|
||||
|
|
@ -573,15 +675,18 @@ module test_centroid() {
|
|||
assert_approx(centroid(circle(d=100)), [0,0]);
|
||||
assert_approx(centroid(rect([40,60],rounding=10,anchor=LEFT)), [20,0]);
|
||||
assert_approx(centroid(rect([40,60],rounding=10,anchor=FWD)), [0,30]);
|
||||
poly = [for(a=[0:90:360])
|
||||
move([1,2.5,3.1], rot(p=[cos(a),sin(a),0],from=[0,0,1],to=[1,1,1])) ];
|
||||
assert_approx(centroid(poly), [1,2.5,3.1]);
|
||||
}
|
||||
test_centroid();
|
||||
*test_centroid();
|
||||
|
||||
|
||||
module test_simplify_path() {
|
||||
path = [[-20,-20], [-10,-20], [0,-10], [10,0], [20,10], [20,20], [15,30]];
|
||||
assert(simplify_path(path) == [[-20,-20], [-10,-20], [20,10], [20,20], [15,30]]);
|
||||
}
|
||||
test_simplify_path();
|
||||
*test_simplify_path();
|
||||
|
||||
|
||||
module test_simplify_path_indexed() {
|
||||
|
|
@ -589,7 +694,7 @@ module test_simplify_path_indexed() {
|
|||
path = [4,6,1,0,3,2,5];
|
||||
assert(simplify_path_indexed(pts, path) == [4,6,3,2,5]);
|
||||
}
|
||||
test_simplify_path_indexed();
|
||||
*test_simplify_path_indexed();
|
||||
|
||||
|
||||
module test_point_in_polygon() {
|
||||
|
|
@ -605,7 +710,7 @@ module test_point_in_polygon() {
|
|||
assert(point_in_polygon([0,10], poly) == 0);
|
||||
assert(point_in_polygon([0,-10], poly) == 0);
|
||||
}
|
||||
test_point_in_polygon();
|
||||
*test_point_in_polygon();
|
||||
|
||||
|
||||
module test_pointlist_bounds() {
|
||||
|
|
@ -626,16 +731,16 @@ module test_pointlist_bounds() {
|
|||
];
|
||||
assert(pointlist_bounds(pts2d) == [[-63,-42],[84,42]]);
|
||||
pts5d = [
|
||||
[-53,27,12,-53,12],
|
||||
[-63,97,36,-63,36],
|
||||
[84,-32,-5,84,-5],
|
||||
[63,-24,42,63,42],
|
||||
[23,57,-42,23,-42]
|
||||
[-53, 27, 12,-53, 12],
|
||||
[-63, 97, 36,-63, 36],
|
||||
[ 84,-32, -5, 84, -5],
|
||||
[ 63,-24, 42, 63, 42],
|
||||
[ 23, 57,-42, 23,-42]
|
||||
];
|
||||
assert(pointlist_bounds(pts5d) == [[-63,-32,-42,-63,-42],[84,97,42,84,42]]);
|
||||
assert(pointlist_bounds([[3,4,5,6]]), [[3,4,5,6],[3,4,5,6]]);
|
||||
}
|
||||
test_pointlist_bounds();
|
||||
*test_pointlist_bounds();
|
||||
|
||||
|
||||
module test_closest_point() {
|
||||
|
|
@ -648,7 +753,7 @@ module test_closest_point() {
|
|||
assert(mindist == dists[pidx]);
|
||||
}
|
||||
}
|
||||
test_closest_point();
|
||||
*test_closest_point();
|
||||
|
||||
|
||||
module test_furthest_point() {
|
||||
|
|
@ -661,7 +766,7 @@ module test_furthest_point() {
|
|||
assert(mindist == dists[pidx]);
|
||||
}
|
||||
}
|
||||
test_furthest_point();
|
||||
*test_furthest_point();
|
||||
|
||||
|
||||
module test_polygon_is_clockwise() {
|
||||
|
|
@ -670,7 +775,7 @@ module test_polygon_is_clockwise() {
|
|||
assert(polygon_is_clockwise(circle(d=100)));
|
||||
assert(polygon_is_clockwise(square(100)));
|
||||
}
|
||||
test_polygon_is_clockwise();
|
||||
*test_polygon_is_clockwise();
|
||||
|
||||
|
||||
module test_clockwise_polygon() {
|
||||
|
|
@ -679,7 +784,7 @@ module test_clockwise_polygon() {
|
|||
assert(clockwise_polygon(path) == path);
|
||||
assert(clockwise_polygon(rpath) == path);
|
||||
}
|
||||
test_clockwise_polygon();
|
||||
*test_clockwise_polygon();
|
||||
|
||||
|
||||
module test_ccw_polygon() {
|
||||
|
|
@ -688,7 +793,7 @@ module test_ccw_polygon() {
|
|||
assert(ccw_polygon(path) == rpath);
|
||||
assert(ccw_polygon(rpath) == rpath);
|
||||
}
|
||||
test_ccw_polygon();
|
||||
*test_ccw_polygon();
|
||||
|
||||
|
||||
module test_reverse_polygon() {
|
||||
|
|
@ -697,7 +802,7 @@ module test_reverse_polygon() {
|
|||
assert(reverse_polygon(path) == rpath);
|
||||
assert(reverse_polygon(rpath) == path);
|
||||
}
|
||||
test_reverse_polygon();
|
||||
*test_reverse_polygon();
|
||||
|
||||
|
||||
module test_is_region() {
|
||||
|
|
@ -709,7 +814,7 @@ module test_is_region() {
|
|||
assert(!is_region(true));
|
||||
assert(!is_region("foo"));
|
||||
}
|
||||
test_is_region();
|
||||
*test_is_region();
|
||||
|
||||
|
||||
|
||||
|
|
|
|||
Loading…
Reference in a new issue