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Synopses: vnf.scad
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1 changed files with 81 additions and 8 deletions
89
vnf.scad
89
vnf.scad
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@ -28,6 +28,9 @@ EMPTY_VNF = [[],[]]; // The standard empty VNF with no vertices or faces.
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// Function: vnf_vertex_array()
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// Synopsis: Returns a VNF structure from a rectangular vertex list.
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// Topics: VNF Generators, Lists
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// See Also: vnf_tri_array(), vnf_join(), vnf_from_polygons(). vnf_from_region()
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// Usage:
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// vnf = vnf_vertex_array(points, [caps=], [cap1=], [cap2=], [style=], [reverse=], [col_wrap=], [row_wrap=]);
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// Description:
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@ -228,10 +231,13 @@ function vnf_vertex_array(
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// Function: vnf_tri_array()
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// Synopsis: Returns a VNF from an array of points.
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// Topics: VNF Generators, Lists
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// See Also: vnf_vertex_array(), vnf_join(), vnf_from_polygons(). vnf_from_region()
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// Usage:
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// vnf = vnf_tri_array(points, [row_wrap], [reverse])
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// Description:
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// Produces a vnf from an array of points where each row length can differ from the adjacent rows by up to 2 in length. This enables
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// Produces a VNF from an array of points where each row length can differ from the adjacent rows by up to 2 in length. This enables
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// the construction of triangular VNF patches. The resulting VNF can be wrapped along the rows by setting `row_wrap` to true.
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// You cannot wrap columns: if you need to do that you'll need to merge two VNF arrays that share edges. Degenerate faces
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// are not included in the output, but if this results in unused vertices they will still appear in the output.
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@ -320,6 +326,9 @@ function vnf_tri_array(points, row_wrap=false, reverse=false) =
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// Function: vnf_join()
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// Synopsis: Returns a single VNF structure from a list of VNF structures.
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// Topics: VNF Generators, Lists
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// See Also: vnf_tri_array(), vnf_vertex_array(), vnf_from_polygons(). vnf_from_region()
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// Usage:
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// vnf = vnf_join([VNF, VNF, VNF, ...]);
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// Description:
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@ -403,15 +412,18 @@ function vnf_join(vnfs) =
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// Function: vnf_from_polygons()
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// Synopsis: Returns a VNF from a list of 3D polygons.
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// Topics: VNF Generators, Lists
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// See Also: vnf_tri_array(), vnf_join(), vnf_vertex_array(). vnf_from_region()
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// Usage:
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// vnf = vnf_from_polygons(polygons);
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// Description:
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// Given a list of 3d polygons, produces a VNF containing those polygons.
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// Given a list of 3D polygons, produces a VNF containing those polygons.
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// It is up to the caller to make sure that the points are in the correct order to make the face
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// normals point outwards. No checking for duplicate vertices is done. If you want to
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// remove duplicate vertices use {{vnf_merge_points()}}.
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// Arguments:
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// polygons = The list of 3d polygons to turn into a VNF
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// polygons = The list of 3D polygons to turn into a VNF
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function vnf_from_polygons(polygons) =
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assert(is_list(polygons) && is_path(polygons[0]),"Input should be a list of polygons")
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let(
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@ -567,13 +579,16 @@ function _bridge(pt, outer,eps) =
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// Function: vnf_from_region()
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// Topics: VNF Generators, Lists
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// Synopsis: Returns a 3D VNF given a 2D region.
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// See Also: vnf_vertex_array(), vnf_tri_array(), vnf_join(), vnf_from_polygons()
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// Usage:
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// vnf = vnf_from_region(region, [transform], [reverse]);
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// Description:
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// Given a (two-dimensional) region, applies the given transformation matrix to it and makes a (three-dimensional) triangulated VNF of
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// faces for that region, reversed if desired.
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// Arguments:
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// region = The region to conver to a vnf.
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// region = The region to convert to a vnf.
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// transform = If given, a transformation matrix to apply to the faces generated from the region. Default: No transformation applied.
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// reverse = If true, reverse the normals of the faces generated from the region. An untransformed region will have face normals pointing `UP`. Default: false
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// Example(3D):
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@ -610,6 +625,9 @@ function vnf_from_region(region, transform, reverse=false) =
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// Function: is_vnf()
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// Synopsis: Returns true given a VNF-like structure.
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// Topics: VNF Manipulation
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// See Also: is_vnf_list(), vnf_verticies(), vnf_faces()
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// Usage:
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// bool = is_vnf(x);
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// Description:
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@ -624,16 +642,27 @@ function is_vnf(x) =
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// Function: is_vnf_list()
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// Synopsis: Returns true given a list of VNF-like structures.
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// Topics: VNF Manipulation
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// See Also: is_vnf(), vnf_verticies(), vnf_faces()
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// Topics: VNF Manipulation
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// See Also: is_vnf(), vnf_verticies(), vnf_faces()
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// Description: Returns true if the given value looks passingly like a list of VNF structures.
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function is_vnf_list(x) = is_list(x) && all([for (v=x) is_vnf(v)]);
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// Function: vnf_vertices()
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// Synopsis: Returns the list of vertex points from a VNF.
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// Topics: VNF Manipulation
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// See Also: is_vnf(), is_vnf_list(), vnf_faces()
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// Description: Given a VNF structure, returns the list of vertex points.
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function vnf_vertices(vnf) = vnf[0];
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// Function: vnf_faces()
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// Synopsis: Returns the list of faces from a VNF.
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// Topics: VNF Manipulation
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// See Also: is_vnf(), is_vnf_list(), vnf_verticies()
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// Description: Given a VNF structure, returns the list of faces, where each face is a list of indices into the VNF vertex list.
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function vnf_faces(vnf) = vnf[1];
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@ -643,6 +672,9 @@ function vnf_faces(vnf) = vnf[1];
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// Function: vnf_reverse_faces()
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// Synopsis: Reverses the faces of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_quantize(), vnf_merge points(), vnf_drop_unused_points(), vnf_triangulate(), vnf_slice()
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// Usage:
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// rvnf = vnf_reverse_faces(vnf);
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// Description:
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@ -652,6 +684,9 @@ function vnf_reverse_faces(vnf) =
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// Function: vnf_quantize()
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// Synopsis: Quantizes the vertex coordinates of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_reverse_faces(), vnf_merge points(), vnf_drop_unused_points(), vnf_triangulate(), vnf_slice()
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// Usage:
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// vnf2 = vnf_quantize(vnf,[q]);
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// Description:
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@ -665,6 +700,9 @@ function vnf_quantize(vnf,q=pow(2,-12)) =
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// Function: vnf_merge_points()
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// Synopsis: COnsolidates duplicate vertices of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_reverse_faces, vnf_quantize(), vnf_drop_unused_points(), vnf_triangulate(), vnf_slice()
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// Usage:
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// new_vnf = vnf_merge_points(vnf, [eps]);
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// Description:
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@ -697,6 +735,9 @@ function vnf_merge_points(vnf,eps=EPSILON) =
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// Function: vnf_drop_unused_points()
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// Synopsis: Removes unreferenced vertices from a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_reverse_faces(), vnf_quantize(), vnf_merge points(), vnf_triangulate(), vnf_slice()
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// Usage:
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// clean_vnf = vnf_drop_unused_points(vnf);
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// Description:
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@ -725,12 +766,15 @@ function _link_indicator(l,imin,imax) =
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_link_indicator(greater,pivot+1,imax) ) ;
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// Function: vnf_triangulate()
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// Synopsis: Triangulates the faces of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_reverse_faces(), vnf_quantize(), vnf_merge points(), vnf_drop_unused_points(), vnf_slice()
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// Usage:
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// vnf2 = vnf_triangulate(vnf);
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// Description:
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// Triangulates faces in the VNF that have more than 3 vertices.
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// Arguments:
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// vnf = vnf to triangulate
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// vnf = VNF to triangulate
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// Example(3D):
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// include <BOSL2/polyhedra.scad>
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// vnf = zrot(33,regular_polyhedron_info("vnf", "dodecahedron", side=12));
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@ -765,6 +809,9 @@ function _vnf_sort_vertices(vnf, idx=[2,1,0]) =
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// Function: vnf_slice()
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// Synopsis: Slice the faces of a VNF along an axis.
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// Topics: VNF Manipulation
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// See Also: vnf_reverse_faces(), vnf_quantize(), vnf_merge points(), vnf_drop_unused_points(), vnf_triangulate()
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// Usage:
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// sliced = vnf_slice(vnf, dir, cuts);
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// Description:
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@ -772,7 +819,7 @@ function _vnf_sort_vertices(vnf, idx=[2,1,0]) =
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// The cut points can appear in any order. You can use this to refine the faces of a VNF before
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// applying a nonlinear transformation to its vertex set.
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// Arguments:
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// vnf = vnf to slice
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// vnf = VNF to slice
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// dir = normal direction to the slices, either "X", "Y" or "Z"
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// cuts = X, Y or Z values where cuts occur
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// Example(3D):
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@ -890,6 +937,9 @@ function _slice_3dpolygons(polys, dir, cuts) =
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// Module: vnf_polyhedron()
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// Synopsis: Returns a polyhedron from a VNF or list of VNFs.
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// Topics: VNF Manipulation
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// See Also: vnf_wireframe()
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// Usage:
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// vnf_polyhedron(vnf) [ATTACHMENTS];
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// vnf_polyhedron([VNF, VNF, VNF, ...]) [ATTACHMENTS];
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@ -920,6 +970,9 @@ module vnf_polyhedron(vnf, convexity=2, extent=true, cp="centroid", anchor="orig
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// Module: vnf_wireframe()
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// Synopsis: Creates a wireframe model from a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_polyhedron()
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// Usage:
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// vnf_wireframe(vnf, [width]);
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// Description:
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@ -961,6 +1014,9 @@ module vnf_wireframe(vnf, width=1)
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// Section: Operations on VNFs
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// Function: vnf_volume()
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// Synopsis: Returns the volume of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_area(), vnf_halfspace(), vnf_bend()
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// Usage:
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// vol = vnf_volume(vnf);
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// Description:
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@ -978,6 +1034,9 @@ function vnf_volume(vnf) =
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// Function: vnf_area()
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// Synopsis: Returns the surface area of a VNF.
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// Topics: VNF Manipulation
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// See Also: vnf_volume(), vnf_halfspace(), vnf_bend()
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// Usage:
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// area = vnf_area(vnf);
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// Description:
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@ -1016,6 +1075,10 @@ function _vnf_centroid(vnf,eps=EPSILON) =
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// Function: vnf_halfspace()
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// Synopsis: Returns the intersection of the vnf with a half space.
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// Topics: VNF Manipulation
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// See Also: vnf_volume(), vnf_area(), vnf_bend()
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// Usage:
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// newvnf = vnf_halfspace(plane, vnf, [closed], [boundary]);
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// Description:
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@ -1038,7 +1101,7 @@ function _vnf_centroid(vnf,eps=EPSILON) =
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// slice through a region that excludes all of the gaps in the input VNF.
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// Arguments:
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// plane = plane defining the boundary of the half space
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// vnf = vnf to cut
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// vnf = VNF to cut
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// closed = if false do not return the cut face(s) in the returned VNF. Default: true
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// boundary = if true return a pair [vnf,boundary] where boundary is a list of paths on the cut boundary indexed into the VNF vertex list. If boundary is true, then closed is set to false. Default: false
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// Example(3D):
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//
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// Function: vnf_bend()
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// Synopsis: Bends a VNF around an axis.
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// Topics: VNF Manipulation
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// See Also: vnf_volume(), vnf_area(), vnf_halfspace(),
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// Usage:
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// bentvnf = vnf_bend(vnf,r|d=,[axis=]);
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// Description:
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@ -1422,6 +1488,9 @@ module _show_faces(vertices, faces, size=1, filter) {
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// Module: debug_vnf()
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// Synopsis: A replacement for `vnf_polyhedron()` to help with debugging.
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// Topics: VNF Manipulation, Debugging
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// See Also: vnf_validate()
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// Usage:
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// debug_vnf(vnfs, [faces=], [vertices=], [opacity=], [size=], [convexity=], [filter=]);
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// Description:
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@ -1437,7 +1506,7 @@ module _show_faces(vertices, faces, size=1, filter) {
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// can rerun the preview to display them oriented for viewing from a different viewpoint.
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// Topics: Polyhedra, Debugging
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// Arguments:
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// vnf = vnf to display
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// vnf = VNF to display
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// ---
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// faces = if true display face numbers. Default: true
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// vertices = if true display vertex numbers. Default: true
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@ -1462,6 +1531,10 @@ module debug_vnf(vnf, faces=true, vertices=true, opacity=0.5, size=1, convexity=
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// Module: vnf_validate()
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// Synopsis: Echos non-manifold VNF errors to the console.
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// Topics: VNF Manipulation, Debugging
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// See Also: debug_vnf()
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//
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// Usage:
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// vnf_validate(vnf, [size], [show_warns=], [check_isects=], [opacity=], [adjacent=], [label_verts=], [label_faces=], [wireframe=]);
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// Description:
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