mirror of
https://github.com/BelfrySCAD/BOSL2.git
synced 2024-12-29 16:29:40 +00:00
Removed redundant bezier_curve() function. Standardized formatting.
This commit is contained in:
Revar Desmera
parent
65b78f90ae
commit
5c7fc2eaf6
1 changed files with 447 additions and 360 deletions
797
rounding.scad
797
rounding.scad
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@ -206,14 +206,14 @@ function round_corners(path, curve="circle", measure="cut", size=undef, k=0.5,
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(curve=="circle" && measure=="radius") ||
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(curve=="smooth" && measure=="joint")
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),
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path = is_region(path) ?
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assert(len(path)==1, "Region supplied as path does not have exactly one component")
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path[0] : path,
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path = is_region(path)?
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assert(len(path)==1, "Region supplied as path does not have exactly one component")
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path[0] : path,
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pathdim = array_dim(path,1),
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have_size = size==undef ? 0 : 1,
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pathsize_ok = is_num(pathdim) && pathdim >= 3-have_size && pathdim <= 4-have_size,
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size_ok = !have_size || is_num(size) ||
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is_list(size) && ((len(size)==2 && curve=="smooth") || len(size)==len(path))
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size_ok = !have_size || is_num(size) ||
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is_list(size) && ((len(size)==2 && curve=="smooth") || len(size)==len(path))
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)
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assert(curve=="smooth" || curve=="circle", "Unknown 'curve' setting in round_corners")
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assert(measureok, curve=="circle"?
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@ -226,17 +226,22 @@ function round_corners(path, curve="circle", measure="cut", size=undef, k=0.5,
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2+have_size, " or ", 3+have_size,
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have_size ? " when 'size' is specified" : "when 'all' is not specified"
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))
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assert(len(path)>2,str("Path has length ",len(path),". Length must be 3 or more."))
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assert(size_ok, is_list(size)?
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(str("Input `size` has length ", len(size),". Length must be ",
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(curve=="smooth"?"2 or ":""), len(path))) :
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str("Input `size` is ",size," which is not a number"))
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assert(len(path)>2,str("Path has length ",len(path),". Length must be 3 or more."))
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assert(size_ok,
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is_list(size)? (
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str(
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"Input `size` has length ", len(size),
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". Length must be ",
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(curve=="smooth"?"2 or ":""), len(path)
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)
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) : str("Input `size` is ",size," which is not a number")
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)
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let(
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dim = pathdim - 1 + have_size,
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points = have_size ? path : subindex(path, [0:dim-1]),
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parm = have_size && is_list(size) && len(size)>2 ? size :
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have_size ? replist(size, len(path)) :
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subindex(path, dim),
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dim = pathdim - 1 + have_size,
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points = have_size ? path : subindex(path, [0:dim-1]),
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parm = have_size && is_list(size) && len(size)>2? size :
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have_size? replist(size, len(path)) :
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subindex(path, dim),
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// dk will be a list of parameters, for the "smooth" curve the distance and curvature parameter pair,
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// and for the "circle" curve, distance and radius.
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dk = [
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@ -279,14 +284,13 @@ function round_corners(path, curve="circle", measure="cut", size=undef, k=0.5,
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//
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// k is the curvature parameter, ranging from 0 for very slow transition
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// up to 1 for a sharp transition that doesn't have continuous curvature any more
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function _smooth_bez_fill(points,k) =
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[
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points[0],
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lerp(points[1],points[0],k),
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points[1],
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lerp(points[1],points[2],k),
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points[2],
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];
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function _smooth_bez_fill(points,k) = [
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points[0],
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lerp(points[1],points[0],k),
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points[1],
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lerp(points[1],points[2],k),
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points[2],
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];
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// Computes the points of a continuous curvature roundover given as input
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// the list of 3 points defining the corner and a parameter specification
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@ -301,22 +305,24 @@ function _smooth_bez_fill(points,k) =
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// to calculate the point count.
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function _bezcorner(points, parm) =
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let(
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P = is_list(parm) ?
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let(
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d = parm[0],
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k = parm[1],
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prev = normalize(points[0]-points[1]),
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next = normalize(points[2]-points[1]))
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[
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let(
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P = is_list(parm)? (
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let(
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d = parm[0],
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k = parm[1],
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prev = normalize(points[0]-points[1]),
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next = normalize(points[2]-points[1])
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) [
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points[1]+d*prev,
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points[1]+k*d*prev,
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points[1],
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points[1]+k*d*next,
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points[1]+d*next
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] :
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]
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) : (
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_smooth_bez_fill(points,parm),
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N = max(3,$fn>0 ?$fn : ceil(bezier_segment_length(P)/$fs))
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)
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)
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bezier_curve(P,N);
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@ -329,14 +335,11 @@ function _circlecorner(points, parm) =
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prev = normalize(points[0]-points[1]),
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next = normalize(points[2]-points[1]),
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center = r/sin(angle) * normalize(prev+next)+points[1],
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start = points[1]+prev*d,
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end = points[1]+next*d
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start = points[1]+prev*d,
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end = points[1]+next*d
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)
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arc(segs(norm(start-center)), cp=center, points=[start,end]);
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function bezier_curve(P,N) =
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[for(i=[0:1:N-1]) bez_point(P, i/(N-1))];
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// Module: rounded_sweep()
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//
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@ -518,217 +521,260 @@ function bezier_curve(P,N) =
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// up(1)
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// rounded_sweep(offset(rhex,r=1), height=9.5, bottom=rs_circle(r=2), top=rs_teardrop(r=-4));
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// }
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module rounded_sweep(path, height, top=[], bottom=[], offset="round", r=0, steps=16, quality=1, check_valid=true, offset_maxstep=1, extra=0,
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cut=undef, width=undef, joint=undef, k=0.75, angle=45, convexity=10)
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{
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// This function does the actual work of repeatedly calling offset() and concatenating the resulting face and vertex lists to produce
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// the inputs for the polyhedron module.
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function make_polyhedron(path,offsets, offset_type, flip_faces, quality, check_valid, maxstep, offsetind=0, vertexcount=0, vertices=[], faces=[] )=
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offsetind==len(offsets) ?
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let( bottom = list_range(n=len(path),s=vertexcount),
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oriented_bottom = !flip_faces ? bottom : reverse(bottom)
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)
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[vertices, concat(faces,[oriented_bottom])] :
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let( this_offset = offsetind==0 ? offsets[0][0] : offsets[offsetind][0] - offsets[offsetind-1][0],
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delta = offset_type=="delta" ? this_offset : undef,
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r = offset_type=="round" ? this_offset : undef
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)
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assert(num_defined([r,delta])==1,"Must set `offset` to \"round\" or \"delta")
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let(
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vertices_faces = offset(path, r=r, delta=delta, closed=true, check_valid=check_valid, quality=quality, maxstep=maxstep,
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return_faces=true, firstface_index=vertexcount, flip_faces=flip_faces)
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)
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make_polyhedron(vertices_faces[0], offsets, offset_type, flip_faces, quality, check_valid, maxstep, offsetind+1, vertexcount+len(path),
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vertices=concat(vertices, zip(vertices_faces[0],replist(offsets[offsetind][1],len(vertices_faces[0])))),
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faces=concat(faces, vertices_faces[1]));
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module rounded_sweep(
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path, height,
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top=[], bottom=[],
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offset="round", r=0, steps=16,
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quality=1, check_valid=true,
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offset_maxstep=1, extra=0,
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cut=undef, width=undef,
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joint=undef, k=0.75, angle=45,
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convexity=10
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) {
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// This function does the actual work of repeatedly calling offset() and concatenating the resulting face and vertex lists to produce
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// the inputs for the polyhedron module.
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function make_polyhedron(path,offsets, offset_type, flip_faces, quality, check_valid, maxstep, offsetind=0, vertexcount=0, vertices=[], faces=[] )=
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offsetind==len(offsets)? (
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let(
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bottom = list_range(n=len(path),s=vertexcount),
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oriented_bottom = !flip_faces? bottom : reverse(bottom)
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) [vertices, concat(faces,[oriented_bottom])]
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) : (
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let(
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this_offset = offsetind==0? offsets[0][0] : offsets[offsetind][0] - offsets[offsetind-1][0],
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delta = offset_type=="delta"? this_offset : undef,
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r = offset_type=="round"? this_offset : undef
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)
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assert(num_defined([r,delta])==1,"Must set `offset` to \"round\" or \"delta")
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let(
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vertices_faces = offset(
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path, r=r, delta=delta, closed=true,
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check_valid=check_valid, quality=quality,
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maxstep=maxstep, return_faces=true,
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firstface_index=vertexcount,
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flip_faces=flip_faces
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)
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)
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make_polyhedron(
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vertices_faces[0], offsets, offset_type,
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flip_faces, quality, check_valid, maxstep,
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offsetind+1, vertexcount+len(path),
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vertices=concat(
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vertices,
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zip(vertices_faces[0],replist(offsets[offsetind][1],len(vertices_faces[0])))
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),
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faces=concat(faces, vertices_faces[1])
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)
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);
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// Produce edge profile curve from the edge specification
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// z_dir is the direction multiplier (1 to build up, -1 to build down)
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function rounding_offsets(edgespec,z_dir=1) =
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let(
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edgetype = struct_val(edgespec, "type"),
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extra = struct_val(edgespec,"extra"),
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N = struct_val(edgespec, "steps"),
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r = struct_val(edgespec,"r"),
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cut = struct_val(edgespec,"cut"),
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k = struct_val(edgespec,"k"),
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radius = in_list(edgetype,["circle","teardrop"])?
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first_defined([cut/(sqrt(2)-1),r]) :
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edgetype=="chamfer"? first_defined([sqrt(2)*cut,r]) : undef,
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chamf_angle = struct_val(edgespec, "angle"),
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cheight = struct_val(edgespec, "height"),
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cwidth = struct_val(edgespec, "width"),
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chamf_width = first_defined([cut/cos(chamf_angle), cwidth, cheight*tan(chamf_angle)]),
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chamf_height = first_defined([cut/sin(chamf_angle),cheight, cwidth/tan(chamf_angle)]),
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joint = first_defined([
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struct_val(edgespec,"joint"),
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16*cut/sqrt(2)/(1+4*k)
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]),
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points = struct_val(edgespec, "points"),
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argsOK = in_list(edgetype,["circle","teardrop"])? is_def(radius) :
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edgetype == "chamfer"? angle>0 && angle<90 && num_defined([chamf_height,chamf_width])==2 :
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edgetype == "smooth"? num_defined([k,joint])==2 :
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edgetype == "custom"? points[0]==[0,0] :
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false
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)
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assert(argsOK,str("Invalid specification with type ",edgetype))
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let(
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offsets =
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edgetype == "custom"? scale([-1,z_dir], slice(points,1,-1)) :
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edgetype == "chamfer"? width==0 && height==0? [] : [[-chamf_width,z_dir*abs(chamf_height)]] :
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edgetype == "teardrop"? (
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radius==0? [] : concat(
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[for(i=[1:N]) [radius*(cos(i*45/N)-1),z_dir*abs(radius)* sin(i*45/N)]],
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[[-2*radius*(1-sqrt(2)/2), z_dir*abs(radius)]]
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)
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) :
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edgetype == "circle"? radius==0? [] : [for(i=[1:N]) [radius*(cos(i*90/N)-1), z_dir*abs(radius)*sin(i*90/N)]] :
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/* smooth */ joint==0 ? [] :
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select(
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_bezcorner([[0,0],[0,z_dir*abs(joint)],[-joint,z_dir*abs(joint)]], k, $fn=N+2),
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1, -1
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)
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)
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extra > 0? concat(offsets, [select(offsets,-1)+[0,z_dir*extra]]) : offsets;
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// Produce edge profile curve from the edge specification
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// z_dir is the direction multiplier (1 to build up, -1 to build down)
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function rounding_offsets(edgespec,z_dir=1) =
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let(
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edgetype = struct_val(edgespec, "type"),
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extra = struct_val(edgespec,"extra"),
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N = struct_val(edgespec, "steps"),
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r = struct_val(edgespec,"r"),
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cut = struct_val(edgespec,"cut"),
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k = struct_val(edgespec,"k"),
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radius = in_list(edgetype,["circle","teardrop"]) ?
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first_defined([cut/(sqrt(2)-1),r]) :
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edgetype=="chamfer" ? first_defined([sqrt(2)*cut,r]) :
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undef,
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chamf_angle = struct_val(edgespec, "angle"),
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cheight = struct_val(edgespec, "height"),
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cwidth = struct_val(edgespec, "width"),
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chamf_width = first_defined([cut/cos(chamf_angle), cwidth, cheight*tan(chamf_angle)]),
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chamf_height = first_defined([cut/sin(chamf_angle),cheight, cwidth/tan(chamf_angle)]),
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joint = first_defined([struct_val(edgespec,"joint"),
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16*cut/sqrt(2)/(1+4*k)]),
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points = struct_val(edgespec, "points"),
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argsOK = in_list(edgetype,["circle","teardrop"]) ? is_def(radius) :
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edgetype == "chamfer" ? angle>0 && angle<90 && num_defined([chamf_height,chamf_width])==2 :
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edgetype == "smooth" ? num_defined([k,joint])==2 :
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edgetype == "custom" ? points[0]==[0,0] :
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false)
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assert(argsOK,str("Invalid specification with type ",edgetype))
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let(
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offsets = edgetype == "custom" ? scale([-1,z_dir], slice(points,1,-1)) :
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edgetype == "chamfer" ? width==0 && height==0 ? [] : [[-chamf_width,z_dir*abs(chamf_height)]] :
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edgetype == "teardrop" ? radius==0 ? [] : concat([for(i=[1:N]) [radius*(cos(i*45/N)-1),z_dir*abs(radius)* sin(i*45/N)]],
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[[-2*radius*(1-sqrt(2)/2), z_dir*abs(radius)]]):
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edgetype == "circle" ? radius==0 ? [] : [for(i=[1:N]) [radius*(cos(i*90/N)-1), z_dir*abs(radius)*sin(i*90/N)]] :
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/* smooth */ joint==0 ? [] :
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select(
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_bezcorner([[0,0],[0,z_dir*abs(joint)],[-joint,z_dir*abs(joint)]], k, $fn=N+2),
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1, -1)
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)
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extra > 0 ? concat(offsets, [select(offsets,-1)+[0,z_dir*extra]]) : offsets;
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argspec = [
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["r",r],
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["extra",extra],
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["type","circle"],
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["check_valid",check_valid],
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["quality",quality],
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["offset_maxstep", offset_maxstep],
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["steps",steps],
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["offset",offset],
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["width",width],
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["height",undef],
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["angle",angle],
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["cut",cut],
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["joint",joint],
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["k", k],
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["points", []],
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];
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path = check_and_fix_path(path, [2], closed=true);
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argspec = [["r",r],
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["extra",extra],
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["type","circle"],
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["check_valid",check_valid],
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["quality",quality],
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["offset_maxstep", offset_maxstep],
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["steps",steps],
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["offset",offset],
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["width",width],
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["height",undef],
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["angle",angle],
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["cut",cut],
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["joint",joint],
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["k", k],
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["points", []],
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];
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top = struct_set(argspec, top, grow=false);
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bottom = struct_set(argspec, bottom, grow=false);
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path = check_and_fix_path(path, [2], closed=true);
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clockwise = polygon_clockwise(path);
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top = struct_set(argspec, top, grow=false);
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bottom = struct_set(argspec, bottom, grow=false);
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assert(height>=0, "Height must be nonnegative");
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clockwise = polygon_clockwise(path);
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// This code does not work. It hits the error in make_polyhedron from offset being wrong
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// before this code executes. Had to move the test into make_polyhedron, which is ugly since it's in the loop
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//offsetsok = in_list(struct_val(top, "offset"),["round","delta"]) &&
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// in_list(struct_val(bottom, "offset"),["round","delta"]);
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//assert(offsetsok,"Offsets must be one of \"round\" or \"delta\"");
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assert(height>=0, "Height must be nonnegative");
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offsets_bot = rounding_offsets(bottom, -1);
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offsets_top = rounding_offsets(top, 1);
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/* This code does not work. It hits the error in make_polyhedron from offset being wrong
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before this code executes. Had to move the test into make_polyhedron, which is ugly since it's in the loop
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offsetsok = in_list(struct_val(top, "offset"),["round","delta"])
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&& in_list(struct_val(bottom, "offset"),["round","delta"]);
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assert(offsetsok,"Offsets must be one of \"round\" or \"delta\"");
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*/
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// "Extra" height enlarges the result beyond the requested height, so subtract it
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bottom_height = len(offsets_bot)==0 ? 0 : abs(select(offsets_bot,-1)[1]) - struct_val(bottom,"extra");
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top_height = len(offsets_top)==0 ? 0 : abs(select(offsets_top,-1)[1]) - struct_val(top,"extra");
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offsets_bot = rounding_offsets(bottom, -1);
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offsets_top = rounding_offsets(top, 1);
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middle = height-bottom_height-top_height;
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assert(
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middle>=0, str(
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"Specified end treatments (bottom height = ",bottom_height,
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" top_height = ",top_height,") are too large for extrusion height (",height,")"
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)
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);
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initial_vertices_bot = path3d(path);
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// "Extra" height enlarges the result beyond the requested height, so subtract it
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bottom_height = len(offsets_bot)==0 ? 0 : abs(select(offsets_bot,-1)[1]) - struct_val(bottom,"extra");
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top_height = len(offsets_top)==0 ? 0 : abs(select(offsets_top,-1)[1]) - struct_val(top,"extra");
|
||||
vertices_faces_bot = make_polyhedron(
|
||||
path, offsets_bot, struct_val(bottom,"offset"), clockwise,
|
||||
struct_val(bottom,"quality"),
|
||||
struct_val(bottom,"check_valid"),
|
||||
struct_val(bottom,"offset_maxstep"),
|
||||
vertices=initial_vertices_bot
|
||||
);
|
||||
|
||||
middle = height-bottom_height-top_height;
|
||||
assert(middle>=0,str("Specified end treatments (bottom height = ",bottom_height,
|
||||
" top_height = ",top_height,") are too large for extrusion height (",height,")"));
|
||||
initial_vertices_bot = path3d(path);
|
||||
|
||||
vertices_faces_bot = make_polyhedron(path, offsets_bot, struct_val(bottom,"offset"), clockwise,
|
||||
struct_val(bottom,"quality"),struct_val(bottom,"check_valid"),struct_val(bottom,"offset_maxstep"),
|
||||
vertices=initial_vertices_bot);
|
||||
|
||||
top_start_ind = len(vertices_faces_bot[0]);
|
||||
initial_vertices_top = zip(path, replist(middle,len(path)));
|
||||
vertices_faces_top = make_polyhedron(path, translate_points(offsets_top,[0,middle]), struct_val(top,"offset"), !clockwise,
|
||||
struct_val(top,"quality"),struct_val(top,"check_valid"),struct_val(top,"offset_maxstep"),
|
||||
vertexcount=top_start_ind, vertices=initial_vertices_top);
|
||||
middle_faces = middle==0 ? [] :
|
||||
[for(i=[0:len(path)-1]) let(oneface=[i, (i+1)%len(path), top_start_ind+(i+1)%len(path), top_start_ind+i])
|
||||
!clockwise ? reverse(oneface) : oneface];
|
||||
up(bottom_height)
|
||||
polyhedron(concat(vertices_faces_bot[0],vertices_faces_top[0]),
|
||||
faces=concat(vertices_faces_bot[1], vertices_faces_top[1], middle_faces),convexity=convexity);
|
||||
top_start_ind = len(vertices_faces_bot[0]);
|
||||
initial_vertices_top = zip(path, replist(middle,len(path)));
|
||||
vertices_faces_top = make_polyhedron(
|
||||
path, translate_points(offsets_top,[0,middle]),
|
||||
struct_val(top,"offset"), !clockwise,
|
||||
struct_val(top,"quality"),
|
||||
struct_val(top,"check_valid"),
|
||||
struct_val(top,"offset_maxstep"),
|
||||
vertexcount=top_start_ind,
|
||||
vertices=initial_vertices_top
|
||||
);
|
||||
middle_faces = middle==0 ? [] : [
|
||||
for(i=[0:len(path)-1]) let(
|
||||
oneface=[i, (i+1)%len(path), top_start_ind+(i+1)%len(path), top_start_ind+i]
|
||||
) !clockwise ? reverse(oneface) : oneface
|
||||
];
|
||||
up(bottom_height) {
|
||||
polyhedron(
|
||||
concat(vertices_faces_bot[0],vertices_faces_top[0]),
|
||||
faces=concat(vertices_faces_bot[1], vertices_faces_top[1], middle_faces),
|
||||
convexity=convexity
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
function rs_circle(r,cut,extra,check_valid, quality,steps, offset_maxstep, offset) =
|
||||
assert(num_defined([r,cut])==1, "Must define exactly one of `r` and `cut`")
|
||||
_remove_undefined_vals(
|
||||
[
|
||||
"type", "circle",
|
||||
"r",r,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
assert(num_defined([r,cut])==1, "Must define exactly one of `r` and `cut`")
|
||||
_remove_undefined_vals([
|
||||
"type", "circle",
|
||||
"r",r,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
|
||||
function rs_teardrop(r,cut,extra,check_valid, quality,steps, offset_maxstep, offset) =
|
||||
assert(num_defined([r,cut])==1, "Must define exactly one of `r` and `cut`")
|
||||
_remove_undefined_vals(
|
||||
[
|
||||
"type", "teardrop",
|
||||
"r",r,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
assert(num_defined([r,cut])==1, "Must define exactly one of `r` and `cut`")
|
||||
_remove_undefined_vals([
|
||||
"type", "teardrop",
|
||||
"r",r,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
|
||||
function rs_chamfer(height, width, cut, angle, extra,check_valid, quality,steps, offset_maxstep, offset) =
|
||||
let(ok = (is_def(cut) && num_defined([height,width])==0) || num_defined([height,width])>0)
|
||||
assert(ok, "Must define `cut`, or one or both of `width` and `height`")
|
||||
_remove_undefined_vals(
|
||||
[
|
||||
"type", "chamfer",
|
||||
"width",width,
|
||||
"height",height,
|
||||
"cut",cut,
|
||||
"angle",angle,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
let(ok = (is_def(cut) && num_defined([height,width])==0) || num_defined([height,width])>0)
|
||||
assert(ok, "Must define `cut`, or one or both of `width` and `height`")
|
||||
_remove_undefined_vals([
|
||||
"type", "chamfer",
|
||||
"width",width,
|
||||
"height",height,
|
||||
"cut",cut,
|
||||
"angle",angle,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
|
||||
function rs_smooth(cut, joint, k, extra,check_valid, quality,steps, offset_maxstep, offset) =
|
||||
assert(num_defined([joint,cut])==1, "Must define exactly one of `joint` and `cut`")
|
||||
_remove_undefined_vals(
|
||||
[
|
||||
"type", "smooth",
|
||||
"joint",joint,
|
||||
"k",k,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
assert(num_defined([joint,cut])==1, "Must define exactly one of `joint` and `cut`")
|
||||
_remove_undefined_vals([
|
||||
"type", "smooth",
|
||||
"joint",joint,
|
||||
"k",k,
|
||||
"cut",cut,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
|
||||
function rs_custom(points, extra,check_valid, quality,steps, offset_maxstep, offset) =
|
||||
//assert(is_path(points),"Custom point list is not valid")
|
||||
_remove_undefined_vals(
|
||||
[
|
||||
"type", "custom",
|
||||
"points", points,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
//assert(is_path(points),"Custom point list is not valid")
|
||||
_remove_undefined_vals([
|
||||
"type", "custom",
|
||||
"points", points,
|
||||
"extra",extra,
|
||||
"check_valid",check_valid,
|
||||
"quality", quality,
|
||||
"steps", steps,
|
||||
"offset_maxstep", offset_maxstep,
|
||||
"offset", offset
|
||||
]);
|
||||
|
||||
|
||||
function _remove_undefined_vals(list) =
|
||||
let(ind=search([undef],list,0)[0])
|
||||
list_remove(list, concat(ind, add_scalar(ind,-1)));
|
||||
let(ind=search([undef],list,0)[0])
|
||||
list_remove(list, concat(ind, add_scalar(ind,-1)));
|
||||
|
||||
|
||||
// Function&Module: offset_stroke()
|
||||
|
|
@ -868,163 +914,204 @@ function _remove_undefined_vals(list) =
|
|||
// right(12)
|
||||
// offset_stroke(path, width=1, closed=true);
|
||||
function offset_stroke(path, width=1, rounded=true, start="flat", end="flat", check_valid=true, quality=1, maxstep=0.1, chamfer=false, closed=false) =
|
||||
let(closedok = !closed || (is_undef(start) && is_undef(end)))
|
||||
assert(closedok, "Parameters `start` and `end` not allowed with closed path")
|
||||
let(
|
||||
start = closed ? [] : _parse_stroke_end(default(start,"flat")),
|
||||
end = closed ? [] : _parse_stroke_end(default(end,"flat")),
|
||||
width = is_list(width) ? reverse(sort(width)) : [1,-1]*width/2,
|
||||
left_r = !rounded ? undef : width[0],
|
||||
left_delta = rounded ? undef : width[0],
|
||||
right_r = !rounded ? undef : width[1],
|
||||
right_delta = rounded ? undef : width[1],
|
||||
left_path = offset(path, delta=left_delta, r=left_r, closed=closed, check_valid=check_valid, quality=quality, chamfer=chamfer, maxstep=maxstep),
|
||||
right_path = offset(path, delta=right_delta, r=right_r, closed=closed, check_valid=check_valid, quality=quality,chamfer=chamfer, maxstep=maxstep)
|
||||
)
|
||||
closed ? [left_path, right_path] :
|
||||
let(
|
||||
startpath = _stroke_end(width,left_path, right_path, start),
|
||||
endpath = _stroke_end(reverse(width),reverse(right_path), reverse(left_path),end),
|
||||
clipping_ok = startpath[1]+endpath[2]<=len(left_path) && startpath[2]+endpath[1]<=len(right_path)
|
||||
)
|
||||
assert(clipping_ok, "End treatment removed the whole stroke")
|
||||
concat(slice(left_path,startpath[1],-1-endpath[2]), endpath[0],
|
||||
reverse(slice(right_path,startpath[2],-1-endpath[1])),startpath[0]);
|
||||
let(closedok = !closed || (is_undef(start) && is_undef(end)))
|
||||
assert(closedok, "Parameters `start` and `end` not allowed with closed path")
|
||||
let(
|
||||
start = closed? [] : _parse_stroke_end(default(start,"flat")),
|
||||
end = closed? [] : _parse_stroke_end(default(end,"flat")),
|
||||
width = is_list(width)? reverse(sort(width)) : [1,-1]*width/2,
|
||||
left_r = !rounded? undef : width[0],
|
||||
left_delta = rounded? undef : width[0],
|
||||
right_r = !rounded? undef : width[1],
|
||||
right_delta = rounded? undef : width[1],
|
||||
left_path = offset(
|
||||
path, delta=left_delta, r=left_r, closed=closed,
|
||||
check_valid=check_valid, quality=quality,
|
||||
chamfer=chamfer, maxstep=maxstep
|
||||
),
|
||||
right_path = offset(
|
||||
path, delta=right_delta, r=right_r, closed=closed,
|
||||
check_valid=check_valid, quality=quality,
|
||||
chamfer=chamfer, maxstep=maxstep
|
||||
)
|
||||
)
|
||||
closed? [left_path, right_path] :
|
||||
let(
|
||||
startpath = _stroke_end(width,left_path, right_path, start),
|
||||
endpath = _stroke_end(reverse(width),reverse(right_path), reverse(left_path),end),
|
||||
clipping_ok = startpath[1]+endpath[2]<=len(left_path) && startpath[2]+endpath[1]<=len(right_path)
|
||||
)
|
||||
assert(clipping_ok, "End treatment removed the whole stroke")
|
||||
concat(
|
||||
slice(left_path,startpath[1],-1-endpath[2]),
|
||||
endpath[0],
|
||||
reverse(slice(right_path,startpath[2],-1-endpath[1])),
|
||||
startpath[0]
|
||||
);
|
||||
|
||||
|
||||
function os_pointed(loc=0,dist) =
|
||||
assert(is_def(dist), "Must specify `dist`")
|
||||
[
|
||||
"type", "shifted_point",
|
||||
"loc",loc,
|
||||
"dist",dist
|
||||
];
|
||||
assert(is_def(dist), "Must specify `dist`")
|
||||
[
|
||||
"type", "shifted_point",
|
||||
"loc",loc,
|
||||
"dist",dist
|
||||
];
|
||||
|
||||
function os_round(cut, angle, abs_angle, k) =
|
||||
let(
|
||||
acount = num_defined([angle,abs_angle]),
|
||||
use_angle = first_defined([angle,abs_angle,0])
|
||||
)
|
||||
assert(acount<2, "You must define only one of `angle` and `abs_angle`")
|
||||
assert(is_def(cut), "Parameter `cut` not defined.")
|
||||
[
|
||||
"type", "roundover",
|
||||
"angle", use_angle,
|
||||
"absolute", is_def(abs_angle),
|
||||
"cut", is_vector(cut) ? point2d(cut) : [cut,cut],
|
||||
"k", first_defined([k, 0.75])
|
||||
];
|
||||
let(
|
||||
acount = num_defined([angle,abs_angle]),
|
||||
use_angle = first_defined([angle,abs_angle,0])
|
||||
)
|
||||
assert(acount<2, "You must define only one of `angle` and `abs_angle`")
|
||||
assert(is_def(cut), "Parameter `cut` not defined.")
|
||||
[
|
||||
"type", "roundover",
|
||||
"angle", use_angle,
|
||||
"absolute", is_def(abs_angle),
|
||||
"cut", is_vector(cut)? point2d(cut) : [cut,cut],
|
||||
"k", first_defined([k, 0.75])
|
||||
];
|
||||
|
||||
|
||||
function os_flat(angle, abs_angle) =
|
||||
let( acount = num_defined([angle,abs_angle]),
|
||||
use_angle = first_defined([angle,abs_angle,0])
|
||||
)
|
||||
assert(acount<2, "You must define only one of `angle` and `abs_angle`")
|
||||
[
|
||||
"type", "flat",
|
||||
"angle", use_angle,
|
||||
"absolute", is_def(abs_angle)
|
||||
];
|
||||
let(
|
||||
acount = num_defined([angle,abs_angle]),
|
||||
use_angle = first_defined([angle,abs_angle,0])
|
||||
)
|
||||
assert(acount<2, "You must define only one of `angle` and `abs_angle`")
|
||||
[
|
||||
"type", "flat",
|
||||
"angle", use_angle,
|
||||
"absolute", is_def(abs_angle)
|
||||
];
|
||||
|
||||
|
||||
|
||||
// Return angle in (-90,90] required to map line1 onto line2 (lines specified as lists of two points)
|
||||
function angle_between_lines(line1,line2) = let(angle = atan2(det2([line1,line2]),line1*line2))
|
||||
angle > 90 ? angle-180 :
|
||||
angle <= -90 ? angle+180 :
|
||||
angle;
|
||||
function angle_between_lines(line1,line2) =
|
||||
let(angle = atan2(det2([line1,line2]),line1*line2))
|
||||
angle > 90 ? angle-180 :
|
||||
angle <= -90 ? angle+180 :
|
||||
angle;
|
||||
|
||||
|
||||
function _parse_stroke_end(spec) =
|
||||
is_string(spec) ? assert(in_list(spec,["flat","round","pointed"]),str("Unknown end string specification \"", spec,"\". Must be \"flat\", \"round\", or \"pointed\""))
|
||||
[["type", spec]] :
|
||||
struct_set([], spec);
|
||||
is_string(spec)?
|
||||
assert(
|
||||
in_list(spec,["flat","round","pointed"]),
|
||||
str("Unknown end string specification \"", spec,"\". Must be \"flat\", \"round\", or \"pointed\"")
|
||||
)
|
||||
[["type", spec]] :
|
||||
struct_set([], spec);
|
||||
|
||||
|
||||
function _stroke_end(width,left, right, spec) =
|
||||
let(
|
||||
type = struct_val(spec, "type"),
|
||||
user_angle = default(struct_val(spec, "angle"), 0),
|
||||
normal_seg = _normal_segment(right[0], left[0]),
|
||||
normal_pt = normal_seg[1],
|
||||
center = normal_seg[0],
|
||||
parallel_dir = normalize(left[0]-right[0]),
|
||||
normal_dir = normalize(normal_seg[1]-normal_seg[0]),
|
||||
width_dir = sign(width[0]-width[1])
|
||||
)
|
||||
type == "round" ? [arc(points=[right[0],normal_pt,left[0]],N=50),1,1] :
|
||||
type == "pointed" ? [[normal_pt],0,0] :
|
||||
type == "shifted_point" ? let( shiftedcenter = center + width_dir * parallel_dir * struct_val(spec, "loc"))
|
||||
[[shiftedcenter+normal_dir*struct_val(spec, "dist")],0,0] :
|
||||
// Remaining types all support angled cutoff, so compute that
|
||||
assert(abs(user_angle)<=90, "End angle must be in [-90,90]")
|
||||
let(
|
||||
angle = struct_val(spec,"absolute") ? angle_between_lines(left[0]-right[0],[cos(user_angle),sin(user_angle)])
|
||||
: user_angle,
|
||||
endseg = [center, rotate_points2d([left[0]],angle, cp=center)[0]],
|
||||
intright = angle>0,
|
||||
pathclip = _path_line_intersection(intright ? right : left, endseg),
|
||||
pathextend = line_intersection(endseg, select(intright ? left:right,0,1))
|
||||
)
|
||||
type == "flat" ? (intright ? [[pathclip[0], pathextend], 1, pathclip[1]] :
|
||||
[[pathextend, pathclip[0]], pathclip[1],1]) :
|
||||
type == "roundover" ?
|
||||
let(
|
||||
bez_k = struct_val(spec,"k"),
|
||||
cut = struct_val(spec,"cut"),
|
||||
cutleft = cut[0],
|
||||
cutright = cut[1],
|
||||
// Create updated paths taking into account clipping for end rotation
|
||||
newright = intright ? concat([pathclip[0]],select(right,pathclip[1],-1)) :
|
||||
concat([pathextend],select(right,1,-1)),
|
||||
newleft = !intright ? concat([pathclip[0]],select(left,pathclip[1],-1)) :
|
||||
concat([pathextend],select(left,1,-1)),
|
||||
// calculate corner angles, which are different when the cut is negative (outside corner)
|
||||
leftangle = cutleft>=0 ? vector_angle([newleft[1],newleft[0],newright[0]])/2 :
|
||||
90-vector_angle([newleft[1],newleft[0],newright[0]])/2,
|
||||
rightangle = cutright>=0 ? vector_angle([newright[1],newright[0],newleft[0]])/2 :
|
||||
90-vector_angle([newright[1],newright[0],newleft[0]])/2,
|
||||
jointleft = 8*cutleft/cos(leftangle)/(1+4*bez_k),
|
||||
jointright = 8*cutright/cos(rightangle)/(1+4*bez_k),
|
||||
pathcutleft = path_cut(newleft,abs(jointleft)),
|
||||
pathcutright = path_cut(newright,abs(jointright)),
|
||||
leftdelete = intright ? pathcutleft[1] : pathcutleft[1] + pathclip[1] -1,
|
||||
rightdelete = intright ? pathcutright[1] + pathclip[1] -1 : pathcutright[1],
|
||||
leftcorner = line_intersection([pathcutleft[0], newleft[pathcutleft[1]]], [newright[0],newleft[0]]),
|
||||
rightcorner = line_intersection([pathcutright[0], newright[pathcutright[1]]], [newright[0],newleft[0]]),
|
||||
roundover_fits = jointleft+jointright < norm(rightcorner-leftcorner)
|
||||
)
|
||||
assert(roundover_fits,"Roundover too large to fit")
|
||||
let(
|
||||
angled_dir = normalize(newleft[0]-newright[0]),
|
||||
nPleft = [leftcorner - jointleft*angled_dir,
|
||||
leftcorner,
|
||||
pathcutleft[0]],
|
||||
nPright = [pathcutright[0],
|
||||
rightcorner,
|
||||
rightcorner + jointright*angled_dir],
|
||||
leftcurve = _bezcorner(nPleft, bez_k),
|
||||
rightcurve = _bezcorner(nPright, bez_k)
|
||||
)
|
||||
[concat(rightcurve, leftcurve), leftdelete, rightdelete] :
|
||||
[[],0,0]; // This case shouldn't occur
|
||||
let(
|
||||
type = struct_val(spec, "type"),
|
||||
user_angle = default(struct_val(spec, "angle"), 0),
|
||||
normal_seg = _normal_segment(right[0], left[0]),
|
||||
normal_pt = normal_seg[1],
|
||||
center = normal_seg[0],
|
||||
parallel_dir = normalize(left[0]-right[0]),
|
||||
normal_dir = normalize(normal_seg[1]-normal_seg[0]),
|
||||
width_dir = sign(width[0]-width[1])
|
||||
)
|
||||
type == "round"? [arc(points=[right[0],normal_pt,left[0]],N=50),1,1] :
|
||||
type == "pointed"? [[normal_pt],0,0] :
|
||||
type == "shifted_point"? (
|
||||
let(shiftedcenter = center + width_dir * parallel_dir * struct_val(spec, "loc"))
|
||||
[[shiftedcenter+normal_dir*struct_val(spec, "dist")],0,0]
|
||||
) :
|
||||
// Remaining types all support angled cutoff, so compute that
|
||||
assert(abs(user_angle)<=90, "End angle must be in [-90,90]")
|
||||
let(
|
||||
angle = struct_val(spec,"absolute")?
|
||||
angle_between_lines(left[0]-right[0],[cos(user_angle),sin(user_angle)]) :
|
||||
user_angle,
|
||||
endseg = [center, rotate_points2d([left[0]],angle, cp=center)[0]],
|
||||
intright = angle>0,
|
||||
pathclip = _path_line_intersection(intright? right : left, endseg),
|
||||
pathextend = line_intersection(endseg, select(intright? left:right,0,1))
|
||||
)
|
||||
type == "flat"? (
|
||||
intright?
|
||||
[[pathclip[0], pathextend], 1, pathclip[1]] :
|
||||
[[pathextend, pathclip[0]], pathclip[1],1]
|
||||
) :
|
||||
type == "roundover"? (
|
||||
let(
|
||||
bez_k = struct_val(spec,"k"),
|
||||
cut = struct_val(spec,"cut"),
|
||||
cutleft = cut[0],
|
||||
cutright = cut[1],
|
||||
// Create updated paths taking into account clipping for end rotation
|
||||
newright = intright?
|
||||
concat([pathclip[0]],select(right,pathclip[1],-1)) :
|
||||
concat([pathextend],select(right,1,-1)),
|
||||
newleft = !intright?
|
||||
concat([pathclip[0]],select(left,pathclip[1],-1)) :
|
||||
concat([pathextend],select(left,1,-1)),
|
||||
// calculate corner angles, which are different when the cut is negative (outside corner)
|
||||
leftangle = cutleft>=0?
|
||||
vector_angle([newleft[1],newleft[0],newright[0]])/2 :
|
||||
90-vector_angle([newleft[1],newleft[0],newright[0]])/2,
|
||||
rightangle = cutright>=0?
|
||||
vector_angle([newright[1],newright[0],newleft[0]])/2 :
|
||||
90-vector_angle([newright[1],newright[0],newleft[0]])/2,
|
||||
jointleft = 8*cutleft/cos(leftangle)/(1+4*bez_k),
|
||||
jointright = 8*cutright/cos(rightangle)/(1+4*bez_k),
|
||||
pathcutleft = path_cut(newleft,abs(jointleft)),
|
||||
pathcutright = path_cut(newright,abs(jointright)),
|
||||
leftdelete = intright? pathcutleft[1] : pathcutleft[1] + pathclip[1] -1,
|
||||
rightdelete = intright? pathcutright[1] + pathclip[1] -1 : pathcutright[1],
|
||||
leftcorner = line_intersection([pathcutleft[0], newleft[pathcutleft[1]]], [newright[0],newleft[0]]),
|
||||
rightcorner = line_intersection([pathcutright[0], newright[pathcutright[1]]], [newright[0],newleft[0]]),
|
||||
roundover_fits = jointleft+jointright < norm(rightcorner-leftcorner)
|
||||
)
|
||||
assert(roundover_fits,"Roundover too large to fit")
|
||||
let(
|
||||
angled_dir = normalize(newleft[0]-newright[0]),
|
||||
nPleft = [
|
||||
leftcorner - jointleft*angled_dir,
|
||||
leftcorner,
|
||||
pathcutleft[0]
|
||||
],
|
||||
nPright = [
|
||||
pathcutright[0],
|
||||
rightcorner,
|
||||
rightcorner + jointright*angled_dir
|
||||
],
|
||||
leftcurve = _bezcorner(nPleft, bez_k),
|
||||
rightcurve = _bezcorner(nPright, bez_k)
|
||||
)
|
||||
[concat(rightcurve, leftcurve), leftdelete, rightdelete]
|
||||
) : [[],0,0]; // This case shouldn't occur
|
||||
|
||||
// returns [intersection_pt, index of first point in path after the intersection]
|
||||
function _path_line_intersection(path, line, ind=0) =
|
||||
ind==len(path)-1 ? undef :
|
||||
let(intersect=line_segment_intersection(line, select(path,ind,ind+1)))
|
||||
// If it intersects the segment excluding it's final point, then we're done
|
||||
// The final point is treated as part of the next segment
|
||||
is_def(intersect) && intersect != path[ind+1] ? [intersect, ind+1] :
|
||||
_path_line_intersection(path, line, ind+1);
|
||||
ind==len(path)-1 ? undef :
|
||||
let(intersect=line_segment_intersection(line, select(path,ind,ind+1)))
|
||||
// If it intersects the segment excluding it's final point, then we're done
|
||||
// The final point is treated as part of the next segment
|
||||
is_def(intersect) && intersect != path[ind+1]?
|
||||
[intersect, ind+1] :
|
||||
_path_line_intersection(path, line, ind+1);
|
||||
|
||||
module offset_stroke(path, width=1, rounded=true, start, end, check_valid=true, quality=1, maxstep=0.1, chamfer=false, closed=false)
|
||||
{
|
||||
result = offset_stroke(path, width=width, rounded=rounded, start=start, end=end, check_valid=check_valid, quality=quality,
|
||||
maxstep=maxstep, chamfer=chamfer, closed=closed);
|
||||
if (closed) region(result);
|
||||
else polygon(result);
|
||||
result = offset_stroke(
|
||||
path, width=width, rounded=rounded,
|
||||
start=start, end=end,
|
||||
check_valid=check_valid, quality=quality,
|
||||
maxstep=maxstep, chamfer=chamfer,
|
||||
closed=closed
|
||||
);
|
||||
if (closed) {
|
||||
region(result);
|
||||
} else {
|
||||
polygon(result);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
|
|
|||
Loading…
Reference in a new issue