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sphere fixes and updated sphere tests

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This commit is contained in:
Adrian Mariano 2022-02-02 22:56:18 -05:00
parent 42e5ca0f04
commit d6b4d48aa2
2 changed files with 38 additions and 20 deletions
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11
shapes3d.scad
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@ -1655,7 +1655,7 @@ function sphere(r, d, circum=false, style="orig", anchor=CENTER, spin=0, orient=
// - `style="aligned"` constructs a sphere where, if `$fn` is a multiple of 4, it has vertices at all axis maxima and minima. ie: its bounding box is exactly the sphere diameter in length on all three axes. This is the default.
// - `style="stagger"` forms a sphere where all faces are triangular, but the top and bottom poles have thinner triangles.
// - `style="octa"` forms a sphere by subdividing an octahedron. This makes more uniform faces over the entirety of the sphere, and guarantees the bounding box is the sphere diameter in size on all axes. The effective `$fn` value is quantized to a multiple of 4. This is used in constructing rounded corners for various other shapes.
// - `style="icosa"` forms a sphere by subdividing an icosahedron. This makes even more uniform faces over the whole sphere. The effective `$fn` value is quantized to a multiple of 5.
// - `style="icosa"` forms a sphere by subdividing an icosahedron. This makes even more uniform faces over the whole sphere. The effective `$fn` value is quantized to a multiple of 5. This sphere has a guaranteed bounding box when `$fn` is a multiple of 10.
// .
// By default the object spheroid() produces is a polyhedron whose vertices all lie on the requested sphere. This means
// it is an inscribed sphere, which sits inside the requested sphere.
@ -1667,7 +1667,10 @@ function sphere(r, d, circum=false, style="orig", anchor=CENTER, spin=0, orient=
// these styles then the polyhedron will look the same as the default inscribing form. But for the other
// styles, the duals are completely different from their parents, and from each other. Generation of the circumscribed versions (duals)
// for "octa" and "icosa" is fast if you use the module form but can be very slow (several minutes) if you use the functional
// form and choose a large $fn value.
// form and choose a large $fn value. With style="align", the circumscribed sphere has its maximum radius on the X and Y axes
// but is undersized on the Z axis. With style="octa" the circumscribed sphere has faces at each axis, so the radius equals
// the specified radius, but other points on the object are farther from the origin. The same situation applies to "icosa" when
// $fn is a multiple of 10.
// Arguments:
// r = Radius of the spheroid.
// style = The style of the spheroid's construction. One of "orig", "aligned", "stagger", "octa", or "icosa". Default: "aligned"
@ -1819,7 +1822,7 @@ function spheroid(r, style="aligned", d, circum=false, anchor=CENTER, spin=0, or
*frame_map(z=dir0,x=point0,reverse=true),
sampled)],
// faces for the first triangle group
faces = vnf_tri_array(tri_list[0])[1],
faces = vnf_tri_array(tri_list[0],reverse=true)[1],
size = repeat((N+2)*(N+3)/2,3),
// Expand to full face list
fullfaces = [for(i=idx(tri_list)) each [for(f=faces) f+i*size]],
@ -1871,7 +1874,7 @@ function spheroid(r, style="aligned", d, circum=false, anchor=CENTER, spin=0, or
: assert(in_list(style,["orig","aligned","stagger","octa","icosa"])),
lv = len(verts),
faces = circum && style=="stagger" ?
let(ptcount=2*hsides,ff=echo(verts))
let(ptcount=2*hsides)
[
[for(i=[ptcount-2:-2:0]) i],
for(j=[0:hsides-1])

47
tests/test_shapes3d.scad
View File

@ -26,13 +26,7 @@ test_cylinder();
module test_sphere() {
$fn=6;
assert_approx(sphere(r=40), [[[20,0,34.6410161514],[10,17.3205080757,34.6410161514],[-10,17.3205080757,34.6410161514],[-20,0,34.6410161514],[-10,-17.3205080757,34.6410161514],[10,-17.3205080757,34.6410161514],[40,0,0],[20,34.6410161514,0],[-20,34.6410161514,0],[-40,0,0],[-20,-34.6410161514,0],[20,-34.6410161514,0],[20,0,-34.6410161514],[10,17.3205080757,-34.6410161514],[-10,17.3205080757,-34.6410161514],[-20,0,-34.6410161514],[-10,-17.3205080757,-34.6410161514],[10,-17.3205080757,-34.6410161514]],[[5,4,3,2,1,0],[12,13,14,15,16,17],[6,0,1],[6,1,7],[7,1,2],[7,2,8],[8,2,3],[8,3,9],[9,3,4],[9,4,10],[10,4,5],[10,5,11],[11,5,0],[11,0,6],[12,6,7],[12,7,13],[13,7,8],[13,8,14],[14,8,9],[14,9,15],[15,9,10],[15,10,16],[16,10,11],[16,11,17],[17,11,6],[17,6,12]]]);
assert_approx(sphere(r=40,style="orig"), [[[20,0,34.6410161514],[10,17.3205080757,34.6410161514],[-10,17.3205080757,34.6410161514],[-20,0,34.6410161514],[-10,-17.3205080757,34.6410161514],[10,-17.3205080757,34.6410161514],[40,0,0],[20,34.6410161514,0],[-20,34.6410161514,0],[-40,0,0],[-20,-34.6410161514,0],[20,-34.6410161514,0],[20,0,-34.6410161514],[10,17.3205080757,-34.6410161514],[-10,17.3205080757,-34.6410161514],[-20,0,-34.6410161514],[-10,-17.3205080757,-34.6410161514],[10,-17.3205080757,-34.6410161514]],[[5,4,3,2,1,0],[12,13,14,15,16,17],[6,0,1],[6,1,7],[7,1,2],[7,2,8],[8,2,3],[8,3,9],[9,3,4],[9,4,10],[10,4,5],[10,5,11],[11,5,0],[11,0,6],[12,6,7],[12,7,13],[13,7,8],[13,8,14],[14,8,9],[14,9,15],[15,9,10],[15,10,16],[16,10,11],[16,11,17],[17,11,6],[17,6,12]]]);
assert_approx(sphere(r=40,style="aligned"), [[[0,0,40],[34.6410161514,0,20],[17.3205080757,30,20],[-17.3205080757,30,20],[-34.6410161514,0,20],[-17.3205080757,-30,20],[17.3205080757,-30,20],[34.6410161514,0,-20],[17.3205080757,30,-20],[-17.3205080757,30,-20],[-34.6410161514,0,-20],[-17.3205080757,-30,-20],[17.3205080757,-30,-20],[0,0,-40]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(sphere(r=40,style="stagger"), [[[0,0,40],[30,17.3205080757,20],[0,34.6410161514,20],[-30,17.3205080757,20],[-30,-17.3205080757,20],[0,-34.6410161514,20],[30,-17.3205080757,20],[34.6410161514,0,-20],[17.3205080757,30,-20],[-17.3205080757,30,-20],[-34.6410161514,0,-20],[-17.3205080757,-30,-20],[17.3205080757,-30,-20],[0,0,-40]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(sphere(r=40,style="octa"), [[[0,0,40],[28.2842712475,0,28.2842712475],[0,28.2842712475,28.2842712475],[-28.2842712475,0,28.2842712475],[0,-28.2842712475,28.2842712475],[40,0,0],[28.2842712475,28.2842712475,0],[0,40,0],[-28.2842712475,28.2842712475,0],[-40,0,0],[-28.2842712475,-28.2842712475,0],[0,-40,0],[28.2842712475,-28.2842712475,0],[28.2842712475,0,-28.2842712475],[0,28.2842712475,-28.2842712475],[-28.2842712475,0,-28.2842712475],[0,-28.2842712475,-28.2842712475],[0,0,-40]],[[0,2,1],[0,3,2],[0,4,3],[0,1,4],[17,15,16],[17,14,15],[17,13,14],[17,16,13],[1,6,5],[1,2,6],[13,5,6],[13,6,14],[2,7,6],[14,6,7],[2,8,7],[2,3,8],[14,7,8],[14,8,15],[3,9,8],[15,8,9],[3,10,9],[3,4,10],[15,9,10],[15,10,16],[4,11,10],[16,10,11],[4,12,11],[4,1,12],[16,11,12],[16,12,13],[1,5,12],[13,12,5]]]);
assert_approx(sphere(r=40,style="icosa"),[[[0,21.0292444848,34.0260323341],[34.0260323341,0,21.0292444848],[21.0292444848,34.0260323341,0],[21.0292444848,34.0260323341,3.5527136788e-15],[34.0260323341,-3.5527136788e-15,21.0292444848],[34.0260323341,-1.7763568394e-15,-21.0292444848],[34.0260323341,-3.5527136788e-15,-21.0292444848],[34.0260323341,-8.881784197e-15,21.0292444848],[21.0292444848,-34.0260323341,0],[21.0292444848,-34.0260323341,5.3290705182e-15],[34.0260323341,-5.3290705182e-15,21.0292444848],[5.3290705182e-15,-21.0292444848,34.0260323341],[3.5527136788e-15,-21.0292444848,34.0260323341],[34.0260323341,3.5527136788e-15,21.0292444848],[3.5527136788e-15,21.0292444848,34.0260323341],[-21.0292444848,34.0260323341,-3.5527136788e-15],[21.0292444848,34.0260323341,-8.881784197e-15],[0,21.0292444848,-34.0260323341],[5.3290705182e-15,21.0292444848,-34.0260323341],[21.0292444848,34.0260323341,-5.3290705182e-15],[34.0260323341,5.3290705182e-15,-21.0292444848],[3.5527136788e-15,21.0292444848,34.0260323341],[21.0292444848,34.0260323341,-3.5527136788e-15],[-21.0292444848,34.0260323341,-1.7763568394e-15],[-34.0260323341,3.5527136788e-15,-21.0292444848],[-34.0260323341,8.881784197e-15,21.0292444848],[-21.0292444848,34.0260323341,0],[-21.0292444848,34.0260323341,5.3290705182e-15],[-34.0260323341,5.3290705182e-15,21.0292444848],[-5.3290705182e-15,21.0292444848,34.0260323341],[-3.5527136788e-15,21.0292444848,34.0260323341],[-34.0260323341,-3.5527136788e-15,21.0292444848],[-3.5527136788e-15,-21.0292444848,34.0260323341],[-5.39089693932e-15,-21.0292444848,34.0260323341],[-34.0260323341,-9.16854539271e-15,21.0292444848],[-21.0292444848,-34.0260323341,6.83383025096e-15],[-21.0292444848,-34.0260323341,3.5527136788e-15],[-34.0260323341,3.5527136788e-15,21.0292444848],[-34.0260323341,1.7763568394e-15,-21.0292444848],[34.0260323341,-5.39089693932e-15,-21.0292444848],[21.0292444848,-34.0260323341,-9.16854539271e-15],[6.83383025096e-15,-21.0292444848,-34.0260323341],[3.5527136788e-15,-21.0292444848,-34.0260323341],[21.0292444848,-34.0260323341,3.5527136788e-15],[-21.0292444848,-34.0260323341,1.7763568394e-15],[-21.0292444848,-34.0260323341,3.5527136788e-15],[21.0292444848,-34.0260323341,8.881784197e-15],[0,-21.0292444848,34.0260323341],[3.5527136788e-15,-21.0292444848,-34.0260323341],[8.881784197e-15,21.0292444848,-34.0260323341],[34.0260323341,0,-21.0292444848],[-34.0260323341,3.5527136788e-15,-21.0292444848],[3.5527136788e-15,21.0292444848,-34.0260323341],[1.7763568394e-15,-21.0292444848,-34.0260323341],[-21.0292444848,34.0260323341,-5.39089693932e-15],[-9.16854539271e-15,21.0292444848,-34.0260323341],[-34.0260323341,6.83383025096e-15,-21.0292444848],[-34.0260323341,-5.3290705182e-15,-21.0292444848],[-5.3290705182e-15,-21.0292444848,-34.0260323341],[-21.0292444848,-34.0260323341,-5.3290705182e-15]],[[0,1,2],[3,4,5],[6,7,8],[9,10,11],[12,13,14],[15,16,17],[18,19,20],[21,22,23],[24,25,26],[27,28,29],[30,31,32],[33,34,35],[36,37,38],[39,40,41],[42,43,44],[45,46,47],[48,49,50],[51,52,53],[54,55,56],[57,58,59]]]);
// Since this is just a passthrough to sphereoid, no tests needed
}
test_sphere();
@ -61,16 +55,37 @@ module test_prismoid() {
test_prismoid();
module sphere_OK(style)
{
R=10;
vnf_in = spheroid(r=R, style=style, circum=false, $fn=32);
vnf_out = spheroid(r=R, style=style, circum=true, $fn=32);
true_vol = 4/3*PI*R^3;
vol_error_in = vnf_volume(vnf_in)/true_vol-1;
vol_error_out = vnf_volume(vnf_out)/true_vol-1;
for (v=vnf_in[0]) assert(approx(norm(v),R),str("Point not on sphere for style ",style));
for (face=vnf_out[1])
assert(approx(R,norm(plane_closest_point(plane_from_points(select(vnf_out[0],face)), [0,0,0]))),
str("face not tangent for style ",style));
assert(abs(vol_error_in)<.023 && vol_error_in<0, str("Volume rel error of sphere style ",style," for circum=false is ",vol_error_in));
assert(abs(vol_error_out)<.013 && vol_error_out>0, str("Volume rel error of sphere style ",style," for circum=true is ",vol_error_out));
}
module test_spheroid() {
$fn=6;
assert_approx(spheroid(r=50),[[[0,0,50],[43.3012701892,0,25],[21.6506350946,37.5,25],[-21.6506350946,37.5,25],[-43.3012701892,0,25],[-21.6506350946,-37.5,25],[21.6506350946,-37.5,25],[43.3012701892,0,-25],[21.6506350946,37.5,-25],[-21.6506350946,37.5,-25],[-43.3012701892,0,-25],[-21.6506350946,-37.5,-25],[21.6506350946,-37.5,-25],[0,0,-50]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(spheroid(d=100),[[[0,0,50],[43.3012701892,0,25],[21.6506350946,37.5,25],[-21.6506350946,37.5,25],[-43.3012701892,0,25],[-21.6506350946,-37.5,25],[21.6506350946,-37.5,25],[43.3012701892,0,-25],[21.6506350946,37.5,-25],[-21.6506350946,37.5,-25],[-43.3012701892,0,-25],[-21.6506350946,-37.5,-25],[21.6506350946,-37.5,-25],[0,0,-50]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(spheroid(r=50,circum=true), [[[0,0,57.735026919],[28.8675134595,50,28.8675134595],[-28.8675134595,50,28.8675134595],[-57.735026919,-3.5527136788e-15,28.8675134595],[-28.8675134595,-50,28.8675134595],[28.8675134595,-50,28.8675134595],[57.735026919,3.5527136788e-15,28.8675134595],[28.8675134595,50,-28.8675134595],[-28.8675134595,50,-28.8675134595],[-57.735026919,-3.5527136788e-15,-28.8675134595],[-28.8675134595,-50,-28.8675134595],[28.8675134595,-50,-28.8675134595],[57.735026919,3.5527136788e-15,-28.8675134595],[0,0,-57.735026919]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(spheroid(r=50,style="orig"),[[[25,0,43.3012701892],[12.5,21.6506350946,43.3012701892],[-12.5,21.6506350946,43.3012701892],[-25,0,43.3012701892],[-12.5,-21.6506350946,43.3012701892],[12.5,-21.6506350946,43.3012701892],[50,0,0],[25,43.3012701892,0],[-25,43.3012701892,0],[-50,0,0],[-25,-43.3012701892,0],[25,-43.3012701892,0],[25,0,-43.3012701892],[12.5,21.6506350946,-43.3012701892],[-12.5,21.6506350946,-43.3012701892],[-25,0,-43.3012701892],[-12.5,-21.6506350946,-43.3012701892],[12.5,-21.6506350946,-43.3012701892]],[[5,4,3,2,1,0],[12,13,14,15,16,17],[6,0,1],[6,1,7],[7,1,2],[7,2,8],[8,2,3],[8,3,9],[9,3,4],[9,4,10],[10,4,5],[10,5,11],[11,5,0],[11,0,6],[12,6,7],[12,7,13],[13,7,8],[13,8,14],[14,8,9],[14,9,15],[15,9,10],[15,10,16],[16,10,11],[16,11,17],[17,11,6],[17,6,12]]]);
assert_approx(spheroid(r=50,style="aligned"),[[[0,0,50],[43.3012701892,0,25],[21.6506350946,37.5,25],[-21.6506350946,37.5,25],[-43.3012701892,0,25],[-21.6506350946,-37.5,25],[21.6506350946,-37.5,25],[43.3012701892,0,-25],[21.6506350946,37.5,-25],[-21.6506350946,37.5,-25],[-43.3012701892,0,-25],[-21.6506350946,-37.5,-25],[21.6506350946,-37.5,-25],[0,0,-50]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(spheroid(r=50,style="stagger"),[[[0,0,50],[37.5,21.6506350946,25],[0,43.3012701892,25],[-37.5,21.6506350946,25],[-37.5,-21.6506350946,25],[0,-43.3012701892,25],[37.5,-21.6506350946,25],[43.3012701892,0,-25],[21.6506350946,37.5,-25],[-21.6506350946,37.5,-25],[-43.3012701892,0,-25],[-21.6506350946,-37.5,-25],[21.6506350946,-37.5,-25],[0,0,-50]],[[1,0,2],[13,7,8],[2,0,3],[13,8,9],[3,0,4],[13,9,10],[4,0,5],[13,10,11],[5,0,6],[13,11,12],[6,0,1],[13,12,7],[1,2,8],[1,8,7],[2,3,9],[2,9,8],[3,4,10],[3,10,9],[4,5,11],[4,11,10],[5,6,12],[5,12,11],[6,1,7],[6,7,12]]]);
assert_approx(spheroid(r=50,style="octa"),[[[0,0,50],[35.3553390593,0,35.3553390593],[0,35.3553390593,35.3553390593],[-35.3553390593,0,35.3553390593],[0,-35.3553390593,35.3553390593],[50,0,0],[35.3553390593,35.3553390593,0],[0,50,0],[-35.3553390593,35.3553390593,0],[-50,0,0],[-35.3553390593,-35.3553390593,0],[0,-50,0],[35.3553390593,-35.3553390593,0],[35.3553390593,0,-35.3553390593],[0,35.3553390593,-35.3553390593],[-35.3553390593,0,-35.3553390593],[0,-35.3553390593,-35.3553390593],[0,0,-50]],[[0,2,1],[0,3,2],[0,4,3],[0,1,4],[17,15,16],[17,14,15],[17,13,14],[17,16,13],[1,6,5],[1,2,6],[13,5,6],[13,6,14],[2,7,6],[14,6,7],[2,8,7],[2,3,8],[14,7,8],[14,8,15],[3,9,8],[15,8,9],[3,10,9],[3,4,10],[15,9,10],[15,10,16],[4,11,10],[16,10,11],[4,12,11],[4,1,12],[16,11,12],[16,12,13],[1,5,12],[13,12,5]]]);
assert_approx(spheroid(r=50,style="icosa"),[[[0,26.286555606,42.5325404176],[42.5325404176,0,26.286555606],[26.286555606,42.5325404176,0],[26.286555606,42.5325404176,3.5527136788e-15],[42.5325404176,-7.1054273576e-15,26.286555606],[42.5325404176,-1.7763568394e-15,-26.286555606],[42.5325404176,-3.5527136788e-15,-26.286555606],[42.5325404176,-1.24344978758e-14,26.286555606],[26.286555606,-42.5325404176,0],[26.286555606,-42.5325404176,5.3290705182e-15],[42.5325404176,-7.1054273576e-15,26.286555606],[5.3290705182e-15,-26.286555606,42.5325404176],[5.3290705182e-15,-26.286555606,42.5325404176],[42.5325404176,7.1054273576e-15,26.286555606],[3.5527136788e-15,26.286555606,42.5325404176],[-26.286555606,42.5325404176,-3.5527136788e-15],[26.286555606,42.5325404176,-1.24344978758e-14],[0,26.286555606,-42.5325404176],[5.3290705182e-15,26.286555606,-42.5325404176],[26.286555606,42.5325404176,-7.1054273576e-15],[42.5325404176,5.3290705182e-15,-26.286555606],[3.5527136788e-15,26.286555606,42.5325404176],[26.286555606,42.5325404176,-7.1054273576e-15],[-26.286555606,42.5325404176,-1.7763568394e-15],[-42.5325404176,3.5527136788e-15,-26.286555606],[-42.5325404176,1.24344978758e-14,26.286555606],[-26.286555606,42.5325404176,0],[-26.286555606,42.5325404176,5.3290705182e-15],[-42.5325404176,7.1054273576e-15,26.286555606],[-5.3290705182e-15,26.286555606,42.5325404176],[-5.3290705182e-15,26.286555606,42.5325404176],[-42.5325404176,-7.1054273576e-15,26.286555606],[-3.5527136788e-15,-26.286555606,42.5325404176],[-6.73862117414e-15,-26.286555606,42.5325404176],[-42.5325404176,-1.14606817409e-14,26.286555606],[-26.286555606,-42.5325404176,8.5422878137e-15],[-26.286555606,-42.5325404176,3.5527136788e-15],[-42.5325404176,7.1054273576e-15,26.286555606],[-42.5325404176,1.7763568394e-15,-26.286555606],[42.5325404176,-6.73862117414e-15,-26.286555606],[26.286555606,-42.5325404176,-1.14606817409e-14],[8.5422878137e-15,-26.286555606,-42.5325404176],[3.5527136788e-15,-26.286555606,-42.5325404176],[26.286555606,-42.5325404176,7.1054273576e-15],[-26.286555606,-42.5325404176,1.7763568394e-15],[-26.286555606,-42.5325404176,3.5527136788e-15],[26.286555606,-42.5325404176,1.24344978758e-14],[0,-26.286555606,42.5325404176],[3.5527136788e-15,-26.286555606,-42.5325404176],[1.24344978758e-14,26.286555606,-42.5325404176],[42.5325404176,0,-26.286555606],[-42.5325404176,3.5527136788e-15,-26.286555606],[7.1054273576e-15,26.286555606,-42.5325404176],[1.7763568394e-15,-26.286555606,-42.5325404176],[-26.286555606,42.5325404176,-6.73862117414e-15],[-1.14606817409e-14,26.286555606,-42.5325404176],[-42.5325404176,8.5422878137e-15,-26.286555606],[-42.5325404176,-5.3290705182e-15,-26.286555606],[-7.1054273576e-15,-26.286555606,-42.5325404176],[-26.286555606,-42.5325404176,-5.3290705182e-15]],[[0,1,2],[3,4,5],[6,7,8],[9,10,11],[12,13,14],[15,16,17],[18,19,20],[21,22,23],[24,25,26],[27,28,29],[30,31,32],[33,34,35],[36,37,38],[39,40,41],[42,43,44],[45,46,47],[48,49,50],[51,52,53],[54,55,56],[57,58,59]]]);
styles=["orig","aligned","stagger","octa","icosa"];
for (s=styles)
sphere_OK(s);
R=10;
for (s=["aligned","octa","icosa"]){
vnf_in = spheroid(r=R, style=s, circum=false,$fn=20);
assert_approx(pointlist_bounds(vnf_in[0]), R*[[-1,-1,-1],[1,1,1]],str("Alignment failed for style ",s));
}
/* // No outsphere seems to meet the alignment criterion
vnf_out = spheroid(r=R, style="icosa", circum=true, $fn=25);
maxR = max([for(v=vnf_out[0]) norm(v)]);
assert_approx(pointlist_bounds(vnf_out[0]), maxR*[[-1,-1,-1],[1,1,1]]);
*/
}
test_spheroid();