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move path_spread to distributors
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2 changed files with 128 additions and 127 deletions
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@ -1020,6 +1020,134 @@ module ovoid_spread(r=undef, d=undef, n=100, cone_ang=90, scale=[1,1,1], perp=tr
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// Module: path_spread()
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//
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// Description:
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// Uniformly spreads out copies of children along a path. Copies are located based on path length. If you specify `n` but not spacing then `n` copies will be placed
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// with one at path[0] of `closed` is true, or spanning the entire path from start to end if `closed` is false.
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// If you specify `spacing` but not `n` then copies will spread out starting from one at path[0] for `closed=true` or at the path center for open paths.
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// If you specify `sp` then the copies will start at `sp`.
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//
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// Usage:
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// path_spread(path), [n], [spacing], [sp], [rotate_children], [closed]) ...
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//
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// Arguments:
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// path = the path where children are placed
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// n = number of copies
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// spacing = space between copies
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// sp = if given, copies will start distance sp from the path start and spread beyond that point
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//
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// Side Effects:
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// `$pos` is set to the center of each copy
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// `$idx` is set to the index number of each copy. In the case of closed paths the first copy is at `path[0]` unless you give `sp`.
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// `$dir` is set to the direction vector of the path at the point where the copy is placed.
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// `$normal` is set to the direction of the normal vector to the path direction that is coplanar with the path at this point
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//
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// Example(2D):
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// spiral = [for(theta=[0:360*8]) theta * [cos(theta), sin(theta)]]/100;
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// stroke(spiral,width=.25);
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// color("red") path_spread(spiral, n=100) circle(r=1);
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// Example(2D):
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// circle = regular_ngon(n=64, or=10);
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// stroke(circle,width=1,closed=true);
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// color("green") path_spread(circle, n=7, closed=true) circle(r=1+$idx/3);
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// Example(2D):
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("purple") path_spread(heptagon, n=9, closed=true) rect([0.5,3],anchor=FRONT);
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// Example(2D): Direction at the corners is the average of the two adjacent edges
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("purple") path_spread(heptagon, n=7, closed=true) rect([0.5,3],anchor=FRONT);
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// Example(2D): Don't rotate the children
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("red") path_spread(heptagon, n=9, closed=true, rotate_children=false) rect([0.5,3],anchor=FRONT);
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// Example(2D): Open path, specify `n`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `n` and `spacing`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5, spacing=1) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Closed path, specify `n` and `spacing`, copies centered around circle[0]
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// circle = regular_ngon(n=64,or=10);
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// stroke(circle,width=.1,closed=true);
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// color("red") path_spread(circle, n=10, spacing=1, closed=true) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `spacing`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, spacing=5) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `sp`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5, sp=18) rect([.2,1.5],anchor=FRONT);
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// Example(2D):
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// wedge = arc(angle=[0,100], r=10, $fn=64);
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// difference(){
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// polygon(concat([[0,0]],wedge));
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// path_spread(wedge,n=5,spacing=3) fwd(.1) rect([1,4],anchor=FRONT);
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// }
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// Example(Spin,VPD=115): 3d example, with children rotated into the plane of the path
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// tilted_circle = lift_plane([[0,0,0], [5,0,5], [0,2,3]],regular_ngon(n=64, or=12));
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// path_sweep(regular_ngon(n=16,or=.1),tilted_circle);
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// path_spread(tilted_circle, n=15,closed=true) {
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// color("blue") cyl(h=3,r=.2, anchor=BOTTOM); // z-aligned cylinder
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// color("red") xcyl(h=10,r=.2, anchor=FRONT+LEFT); // x-aligned cylinder
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// }
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// Example(Spin,VPD=115): 3d example, with rotate_children set to false
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// tilted_circle = lift_plane([[0,0,0], [5,0,5], [0,2,3]], regular_ngon(n=64, or=12));
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// path_sweep(regular_ngon(n=16,or=.1),tilted_circle);
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// path_spread(tilted_circle, n=25,rotate_children=false,closed=true) {
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// color("blue") cyl(h=3,r=.2, anchor=BOTTOM); // z-aligned cylinder
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// color("red") xcyl(h=10,r=.2, anchor=FRONT+LEFT); // x-aligned cylinder
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// }
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module path_spread(path, n, spacing, sp=undef, rotate_children=true, closed=false)
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{
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length = path_length(path,closed);
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distances =
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is_def(sp)? ( // Start point given
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is_def(n) && is_def(spacing)? count(n,sp,spacing) :
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is_def(n)? lerpn(sp, length, n) :
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list([sp:spacing:length])
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)
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: is_def(n) && is_undef(spacing)? lerpn(0,length,n,!closed) // N alone given
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: ( // No start point and spacing is given, N maybe given
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let(
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n = is_def(n)? n : floor(length/spacing)+(closed?0:1),
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ptlist = count(n,0,spacing),
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listcenter = mean(ptlist)
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) closed?
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sort([for(entry=ptlist) posmod(entry-listcenter,length)]) :
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[for(entry=ptlist) entry + length/2-listcenter ]
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);
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distOK = is_def(n) || (min(distances)>=0 && max(distances)<=length);
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assert(distOK,"Cannot fit all of the copies");
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cutlist = path_cut_points(path, distances, closed, direction=true);
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planar = len(path[0])==2;
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if (true) for(i=[0:1:len(cutlist)-1]) {
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$pos = cutlist[i][0];
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$idx = i;
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$dir = rotate_children ? (planar?[1,0]:[1,0,0]) : cutlist[i][2];
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$normal = rotate_children? (planar?[0,1]:[0,0,1]) : cutlist[i][3];
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translate($pos) {
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if (rotate_children) {
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if(planar) {
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rot(from=[0,1],to=cutlist[i][3]) children();
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} else {
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frame_map(x=cutlist[i][2], z=cutlist[i][3])
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children();
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}
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} else {
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children();
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}
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}
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}
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}
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//////////////////////////////////////////////////////////////////////
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// Section: Reflectional Distributors
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//////////////////////////////////////////////////////////////////////
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127
paths.scad
127
paths.scad
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@ -1458,133 +1458,6 @@ module path_extrude(path, convexity=10, clipsize=100) {
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}
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// Module: path_spread()
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//
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// Description:
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// Uniformly spreads out copies of children along a path. Copies are located based on path length. If you specify `n` but not spacing then `n` copies will be placed
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// with one at path[0] of `closed` is true, or spanning the entire path from start to end if `closed` is false.
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// If you specify `spacing` but not `n` then copies will spread out starting from one at path[0] for `closed=true` or at the path center for open paths.
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// If you specify `sp` then the copies will start at `sp`.
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//
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// Usage:
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// path_spread(path), [n], [spacing], [sp], [rotate_children], [closed]) ...
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//
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// Arguments:
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// path = the path where children are placed
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// n = number of copies
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// spacing = space between copies
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// sp = if given, copies will start distance sp from the path start and spread beyond that point
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//
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// Side Effects:
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// `$pos` is set to the center of each copy
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// `$idx` is set to the index number of each copy. In the case of closed paths the first copy is at `path[0]` unless you give `sp`.
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// `$dir` is set to the direction vector of the path at the point where the copy is placed.
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// `$normal` is set to the direction of the normal vector to the path direction that is coplanar with the path at this point
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//
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// Example(2D):
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// spiral = [for(theta=[0:360*8]) theta * [cos(theta), sin(theta)]]/100;
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// stroke(spiral,width=.25);
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// color("red") path_spread(spiral, n=100) circle(r=1);
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// Example(2D):
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// circle = regular_ngon(n=64, or=10);
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// stroke(circle,width=1,closed=true);
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// color("green") path_spread(circle, n=7, closed=true) circle(r=1+$idx/3);
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// Example(2D):
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("purple") path_spread(heptagon, n=9, closed=true) rect([0.5,3],anchor=FRONT);
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// Example(2D): Direction at the corners is the average of the two adjacent edges
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("purple") path_spread(heptagon, n=7, closed=true) rect([0.5,3],anchor=FRONT);
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// Example(2D): Don't rotate the children
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// heptagon = regular_ngon(n=7, or=10);
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// stroke(heptagon, width=1, closed=true);
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// color("red") path_spread(heptagon, n=9, closed=true, rotate_children=false) rect([0.5,3],anchor=FRONT);
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// Example(2D): Open path, specify `n`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `n` and `spacing`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5, spacing=1) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Closed path, specify `n` and `spacing`, copies centered around circle[0]
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// circle = regular_ngon(n=64,or=10);
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// stroke(circle,width=.1,closed=true);
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// color("red") path_spread(circle, n=10, spacing=1, closed=true) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `spacing`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, spacing=5) rect([.2,1.5],anchor=FRONT);
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// Example(2D): Open path, specify `sp`
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// sinwav = [for(theta=[0:360]) 5*[theta/180, sin(theta)]];
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// stroke(sinwav,width=.1);
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// color("red") path_spread(sinwav, n=5, sp=18) rect([.2,1.5],anchor=FRONT);
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// Example(2D):
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// wedge = arc(angle=[0,100], r=10, $fn=64);
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// difference(){
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// polygon(concat([[0,0]],wedge));
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// path_spread(wedge,n=5,spacing=3) fwd(.1) rect([1,4],anchor=FRONT);
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// }
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// Example(Spin,VPD=115): 3d example, with children rotated into the plane of the path
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// tilted_circle = lift_plane([[0,0,0], [5,0,5], [0,2,3]],regular_ngon(n=64, or=12));
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// path_sweep(regular_ngon(n=16,or=.1),tilted_circle);
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// path_spread(tilted_circle, n=15,closed=true) {
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// color("blue") cyl(h=3,r=.2, anchor=BOTTOM); // z-aligned cylinder
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// color("red") xcyl(h=10,r=.2, anchor=FRONT+LEFT); // x-aligned cylinder
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// }
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// Example(Spin,VPD=115): 3d example, with rotate_children set to false
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// tilted_circle = lift_plane([[0,0,0], [5,0,5], [0,2,3]], regular_ngon(n=64, or=12));
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// path_sweep(regular_ngon(n=16,or=.1),tilted_circle);
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// path_spread(tilted_circle, n=25,rotate_children=false,closed=true) {
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// color("blue") cyl(h=3,r=.2, anchor=BOTTOM); // z-aligned cylinder
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// color("red") xcyl(h=10,r=.2, anchor=FRONT+LEFT); // x-aligned cylinder
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// }
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module path_spread(path, n, spacing, sp=undef, rotate_children=true, closed=false)
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{
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length = path_length(path,closed);
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distances =
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is_def(sp)? ( // Start point given
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is_def(n) && is_def(spacing)? count(n,sp,spacing) :
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is_def(n)? lerpn(sp, length, n) :
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list([sp:spacing:length])
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)
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: is_def(n) && is_undef(spacing)? lerpn(0,length,n,!closed) // N alone given
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: ( // No start point and spacing is given, N maybe given
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let(
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n = is_def(n)? n : floor(length/spacing)+(closed?0:1),
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ptlist = count(n,0,spacing),
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listcenter = mean(ptlist)
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) closed?
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sort([for(entry=ptlist) posmod(entry-listcenter,length)]) :
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[for(entry=ptlist) entry + length/2-listcenter ]
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);
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distOK = is_def(n) || (min(distances)>=0 && max(distances)<=length);
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assert(distOK,"Cannot fit all of the copies");
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cutlist = path_cut_points(path, distances, closed, direction=true);
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planar = len(path[0])==2;
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if (true) for(i=[0:1:len(cutlist)-1]) {
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$pos = cutlist[i][0];
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$idx = i;
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$dir = rotate_children ? (planar?[1,0]:[1,0,0]) : cutlist[i][2];
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$normal = rotate_children? (planar?[0,1]:[0,0,1]) : cutlist[i][3];
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translate($pos) {
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if (rotate_children) {
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if(planar) {
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rot(from=[0,1],to=cutlist[i][3]) children();
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} else {
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frame_map(x=cutlist[i][2], z=cutlist[i][3])
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children();
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}
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} else {
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children();
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}
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}
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}
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}
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function _cut_interp(pathcut, path, data) =
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[for(entry=pathcut)
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let(
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