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Changed vnf_vertex_array() to take a nested 2D array of 3D points.

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Revar Desmera 2019-08-29 17:58:12 -07:00
parent da1086b71b
commit 4334413781
1 changed files with 37 additions and 35 deletions
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72
geometry.scad
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@ -1795,57 +1795,58 @@ function vnf_triangulate(vnf) =
// Example(3D):
// vnf = vnf_vertex_array(
// points=[
// for (h = [0:5:180-EPSILON], t = [0:5:360-EPSILON])
// cylindrical_to_xyz(100 + 12 * cos((h/2 + t)*6), t, h)
// for (h = [0:5:180-EPSILON]) [
// for (t = [0:5:360-EPSILON])
// cylindrical_to_xyz(100 + 12 * cos((h/2 + t)*6), t, h)
// ]
// ],
// cols=360/5, col_wrap=true, caps=true, reverse=true, style="alt"
// col_wrap=true, caps=true, reverse=true, style="alt"
// );
// vnf_polyhedron(vnf);
// Example(3D): Both `col_wrap` and `row_wrap` are true to make a torus.
// profile = circle(d=20);
// vnf = vnf_vertex_array(
// points=[
// for (a=[0:5:360-EPSILON])
// each zrot(a,p=right(30,p=xrot(90,p=path3d(profile))))
// affine3d_apply(
// circle(d=20),
// [xrot(90), right(30), zrot(a)]
// )
// ],
// cols=len(profile), col_wrap=true, row_wrap=true, reverse=true
// col_wrap=true, row_wrap=true, reverse=true
// );
// vnf_polyhedron(vnf);
// Example(3D): Möbius Strip. Note that `row_wrap` is not used, and the first and last profile copies are the same.
// profile = square([1,10],center=true);
// vnf = vnf_vertex_array(
// points=[
// for (a=[0:5:360]) each
// zrot(a,p=right(30,p=xrot(90,p=zrot(a/2+60,p=path3d(profile)))))
// for (a=[0:5:360]) affine3d_apply(
// square([1,10], center=true),
// [zrot(a/2+60), xrot(90), right(30), zrot(a)]
// )
// ],
// cols=len(profile), col_wrap=true, reverse=true
// col_wrap=true, reverse=true
// );
// vnf_polyhedron(vnf);
// Example(3D): Assembling a Polyhedron from Multiple Parts
// profile = circle(d=100);
// wall_points=[
// for (a=[-90:2:90])
// each up(a, p=scale([1-0.1*cos(a*6),1-0.1*cos((a+90)*6),1], p=path3d(profile)))
// wall_points = [
// for (a = [-90:2:90]) affine3d_apply(
// circle(d=100),
// [scale([1-0.1*cos(a*6), 1-0.1*cos((a+90)*6), 1]), up(a)]
// )
// ];
// cap_profile = select(wall_points,0,len(profile)-1);
// cap_points=[
// for (a=[0:0.01:1.001]) each
// up(90-5*sin(a*360*2), p=scale([a,a,1], p=cap_profile))
// cap = [
// for (a = [0:0.01:1+EPSILON]) affine3d_apply(
// wall_points[0],
// [scale([a,a,1]), up(90-5*sin(a*360*2))]
// )
// ];
// vnf1 = vnf_vertex_array(
// points=wall_points, cols=len(profile), col_wrap=true
// );
// vnf2 = vnf_vertex_array(
// points=down(90, p=zscale(-1, p=cap_points)),
// cols=len(profile), col_wrap=true
// );
// vnf3 = vnf_vertex_array(
// points=up(90, p=cap_points),
// cols=len(profile), col_wrap=true, reverse=true
// );
// cap1 = [for (p=cap) down(90, p=zscale(-1, p=p))];
// cap2 = [for (p=cap) up(90, p=p)];
// vnf1 = vnf_vertex_array(points=wall_points, col_wrap=true);
// vnf2 = vnf_vertex_array(points=cap1, col_wrap=true);
// vnf3 = vnf_vertex_array(points=cap2, col_wrap=true, reverse=true);
// vnf_polyhedron([vnf1, vnf2, vnf3]);
function vnf_vertex_array(
points, cols,
points,
caps, cap1, cap2,
col_wrap=false,
row_wrap=false,
@ -1853,12 +1854,13 @@ function vnf_vertex_array(
style="default",
vnf=[[],[]]
) =
assert(len(points)%cols==0)
assert((!caps)||(caps&&col_wrap))
assert(in_list(style,["default","alt","quincunx"]))
let(
pcnt = len(points),
rows = pcnt/cols,
pts = flatten(points),
rows = len(points),
cols = len(points[0]),
errchk = [for (row=points) assert(len(row)==cols, "All rows much have the same number of columns.") 0],
cap1 = first_defined([cap1,caps,false]),
cap2 = first_defined([cap2,caps,false]),
colcnt = cols - (col_wrap?0:1),
@ -1867,7 +1869,7 @@ function vnf_vertex_array(
vnf_merge([
vnf, [
concat(
points,
pts,
style!="quincunx"? [] : [
for (r = [0:1:rowcnt-1]) (
for (c = [0:1:colcnt-1]) (
@ -1876,7 +1878,7 @@ function vnf_vertex_array(
i2 = ((r+1)%rows)*cols + ((c+0)%cols),
i3 = ((r+1)%rows)*cols + ((c+1)%cols),
i4 = ((r+0)%rows)*cols + ((c+1)%cols)
) mean([points[i1], points[i2], points[i3], points[i4]])
) mean([pts[i1], pts[i2], pts[i3], pts[i4]])
)
)
]