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Update docs and regressions for apply()
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3 changed files with 46 additions and 10 deletions
37
affine.scad
37
affine.scad
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@ -422,19 +422,38 @@ function affine3d_chain(affines, _m=undef, _i=0) =
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// Usage:
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// pts = apply(transform, points);
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// Description:
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// Applies the specified transformation matrix to a point list (or single point). Both inputs can be 2d or 3d, and it is also allowed
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// to supply 3d transformations with 2d data as long as the the only action on the z coordinate is a simple scaling.
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// Examples:
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// transformed = apply(xrot(45), path3d(circle(r=3))); // Rotates 3d circle data around x axis
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// transformed = apply(rot(45), circle(r=3)); // Rotates 2d circle data by 45 deg
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// transformed = apply(rot(45)*right(4)*scale(3), circle(r=3)); // Scales, translates and rotates 2d circle data
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// Applies the specified transformation matrix to a point, pointlist, bezier patch or VNF.
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// Both inputs can be 2D or 3D, and it is also allowed to supply 3D transformations with 2D
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// data as long as the the only action on the z coordinate is a simple scaling.
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// Arguments:
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// transform = The 2D or 3D transformation matrix to apply to the point/points.
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// points = The point, pointlist, bezier patch, or VNF to apply the transformation to.
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// Example(3D):
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// path1 = path3d(circle(r=40));
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// tmat = xrot(45);
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// path2 = apply(tmat, path1);
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// #stroke(path1,closed=true);
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// stroke(path2,closed=true);
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// Example(2D):
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// path1 = circle(r=40);
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// tmat = translate([10,5]);
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// path2 = apply(tmat, path1);
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// #stroke(path1,closed=true);
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// stroke(path2,closed=true);
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// Example(2D):
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// path1 = circle(r=40);
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// tmat = rot(30) * back(15) * scale([1.5,0.5,1]);
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// path2 = apply(tmat, path1);
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// #stroke(path1,closed=true);
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// stroke(path2,closed=true);
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function apply(transform,points) =
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points==[] ? [] :
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is_vector(points) ? apply(transform, [points])[0] :
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is_vector(points)
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? /* Point */ apply(transform, [points])[0] :
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is_list(points) && len(points)==2 && is_path(points[0],3) && is_list(points[1]) && is_vector(points[1][0])
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? [apply(transform, points[0]), points[1]] :
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? /* VNF */ [apply(transform, points[0]), points[1]] :
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is_list(points) && is_list(points[0]) && is_vector(points[0][0])
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? [for (x=points) apply(transform,x)] :
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? /* BezPatch */ [for (x=points) apply(transform,x)] :
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let(
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tdim = len(transform[0])-1,
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datadim = len(points[0])
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@ -236,6 +236,23 @@ module test_apply() {
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assert(approx(apply(affine3d_xrot(135),2*BACK+2*UP),2*sqrt(2)*FWD));
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assert(approx(apply(affine3d_yrot(135),2*RIGHT+2*UP),2*sqrt(2)*DOWN));
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assert(approx(apply(affine3d_zrot(45),2*BACK+2*RIGHT),2*sqrt(2)*BACK));
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module check_path_apply(mat,path)
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assert_approx(apply(mat,path),path3d([for (p=path) mat*concat(p,1)]));
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check_path_apply(xrot(45), path3d(rect(100,center=true)));
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check_path_apply(yrot(45), path3d(rect(100,center=true)));
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check_path_apply(zrot(45), path3d(rect(100,center=true)));
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check_path_apply(rot([20,30,40])*scale([0.9,1.1,1])*move([10,20,30]), path3d(rect(100,center=true)));
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module check_patch_apply(mat,patch)
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assert_approx(apply(mat,patch), [for (path=patch) path3d([for (p=path) mat*concat(p,1)])]);
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flat = [for (x=[-50:25:50]) [for (y=[-50:25:50]) [x,y,0]]];
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check_patch_apply(xrot(45), flat);
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check_patch_apply(yrot(45), flat);
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check_patch_apply(zrot(45), flat);
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check_patch_apply(rot([20,30,40])*scale([0.9,1.1,1])*move([10,20,30]), flat);
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}
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test_apply();
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@ -6,7 +6,7 @@
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//////////////////////////////////////////////////////////////////////
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BOSL_VERSION = [2,0,531];
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BOSL_VERSION = [2,0,532];
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// Section: BOSL Library Version Functions
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