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add trapezoid anchor override and fix trapezoid and rect perimeter anchoring

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This commit is contained in:
Adrian Mariano 2023-03-08 23:09:11 -05:00
parent af72ef3bd5
commit a4596cb448
3 changed files with 160 additions and 116 deletions
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40
attachments.scad
View file

@ -1628,7 +1628,7 @@ module corner_profile(corners=CORNERS_ALL, except=[], r, d, convexity=10) {
// Module: attachable()
//
// Usage: Square/Trapezoid Geometry
// attachable(anchor, spin, two_d=true, size=, [size2=], [shift=], ...) {OBJECT; children();}
// attachable(anchor, spin, two_d=true, size=, [size2=], [shift=], [override=], ...) {OBJECT; children();}
// Usage: Circle/Oval Geometry
// attachable(anchor, spin, two_d=true, r=|d=, ...) {OBJECT; children();}
// Usage: 2D Path/Polygon Geometry
@ -1708,6 +1708,7 @@ module corner_profile(corners=CORNERS_ALL, except=[], r, d, convexity=10) {
// anchors = If given as a list of anchor points, allows named anchor points.
// two_d = If true, the attachable shape is 2D. If false, 3D. Default: false (3D)
// axis = The vector pointing along the axis of a geometry. Default: UP
// override = Function that takes an anchor and returns a pair `[position,direction]` to use for that anchor to override the normal one. You can also supply a lookup table that is a list of `[anchor, [position, direction]]` entries. If the direction/position that is returned is undef then the default will be used.
// geom = If given, uses the pre-defined (via {{attach_geom()}} geometry.
//
// Side Effects:
@ -1892,7 +1893,7 @@ module attachable(
offset=[0,0,0],
anchors=[],
two_d=false,
axis=UP,
axis=UP,override,
geom
) {
dummy1 =
@ -1913,7 +1914,7 @@ module attachable(
d=d, d1=d1, d2=d2, l=l,
vnf=vnf, region=region, extent=extent,
cp=cp, offset=offset, anchors=anchors,
two_d=two_d, axis=axis
two_d=two_d, axis=axis, override=override
);
m = _attach_transform(anchor,spin,orient,geom);
multmatrix(m) {
@ -2032,7 +2033,7 @@ function reorient(
cp=[0,0,0],
anchors=[],
two_d=false,
axis=UP,
axis=UP, override,
geom,
p=undef
) =
@ -2056,7 +2057,7 @@ function reorient(
d=d, d1=d1, d2=d2, l=l,
vnf=vnf, region=region, extent=extent,
cp=cp, offset=offset, anchors=anchors,
two_d=two_d, axis=axis
two_d=two_d, axis=axis, override=override
),
$attach_to = undef
) _attach_transform(anchor,spin,orient,geom,p);
@ -2130,6 +2131,7 @@ function named_anchor(name, pos, orient=UP, spin=0) = [name, pos, orient, spin];
// anchors = If given as a list of anchor points, allows named anchor points.
// two_d = If true, the attachable shape is 2D. If false, 3D. Default: false (3D)
// axis = The vector pointing along the axis of a geometry. Default: UP
// override = Function that takes an anchor and returns a pair `[position,direction]` to use for that anchor to override the normal one. You can also supply a lookup table that is a list of `[anchor, [position, direction]]` entries. If the direction/position that is returned is undef then the default will be used.
//
// Example(NORENDER): Null/Point Shape
// geom = attach_geom();
@ -2177,7 +2179,7 @@ function named_anchor(name, pos, orient=UP, spin=0) = [name, pos, orient, spin];
// geom = attach_geom(two_d=true, size=size);
//
// Example(NORENDER): 2D Trapezoidal Shape
// geom = attach_geom(two_d=true, size=[x1,y], size2=x2, shift=shift);
// geom = attach_geom(two_d=true, size=[x1,y], size2=x2, shift=shift, override=override);
//
// Example(NORENDER): 2D Circular Shape
// geom = attach_geom(two_d=true, r=r);
@ -2197,6 +2199,13 @@ function named_anchor(name, pos, orient=UP, spin=0) = [name, pos, orient, spin];
// Example(NORENDER): Extruded Region, Anchored by Intersection
// geom = attach_geom(region=region, l=length, extent=false);
//
function _local_struct_val(struct, key)=
assert(is_def(key),"key is missing")
let(ind = search([key],struct)[0])
ind == [] ? undef : struct[ind][1];
function attach_geom(
size, size2,
shift, scale, twist,
@ -2207,7 +2216,7 @@ function attach_geom(
offset=[0,0,0],
anchors=[],
two_d=false,
axis=UP
axis=UP, override
) =
assert(is_bool(extent))
assert(is_vector(cp) || is_string(cp))
@ -2219,12 +2228,15 @@ function attach_geom(
two_d? (
let(
size2 = default(size2, size.x),
shift = default(shift, 0)
shift = default(shift, 0),
over_f = is_undef(override) ? function(anchor) [undef,undef]
: is_func(override) ? override
: function(anchor) _local_struct_val(override,anchor)
)
assert(is_vector(size,2))
assert(is_num(size2))
assert(is_num(shift))
["trapezoid", point2d(size), size2, shift, cp, offset, anchors]
["trapezoid", point2d(size), size2, shift, over_f, cp, offset, anchors]
) : (
let(
size2 = default(size2, point2d(size)),
@ -2637,7 +2649,7 @@ function _find_anchor(anchor, geom) =
mpt = approx(point2d(anchor),[0,0])? [maxx,0,0] : avep,
pos = point3d(cp) + rot(from=RIGHT, to=anchor, p=mpt)
) [anchor, pos, anchor, oang]
) : type == "trapezoid"? ( //size, size2, shift
) : type == "trapezoid"? ( //size, size2, shift, override
let(all_comps_good = [for (c=anchor) if (c!=sign(c)) 1]==[])
assert(all_comps_good, "All components of an anchor for a rectangle/trapezoid must be -1, 0, or 1")
let(
@ -2646,9 +2658,12 @@ function _find_anchor(anchor, geom) =
u = (anchor.y+1)/2, // 0<=u<=1
frpt = [size.x/2*anchor.x, -size.y/2],
bkpt = [size2/2*anchor.x+shift, size.y/2],
pos = point2d(cp) + lerp(frpt, bkpt, u) + point2d(offset),
override = geom[4](anchor),
pos = default(override[0],point2d(cp) + lerp(frpt, bkpt, u) + point2d(offset)),
svec = point3d(line_normal(bkpt,frpt)*anchor.x),
vec = anchor.y < 0? (
vec = is_def(override[1]) ? override[1]
:
anchor.y < 0? (
anchor.x == 0? FWD :
size.x == 0? unit(-[shift,size.y], FWD) :
unit((point3d(svec) + FWD) / 2, FWD)
@ -2658,6 +2673,7 @@ function _find_anchor(anchor, geom) =
anchor.x == 0? BACK :
size2 == 0? unit([shift,size.y], BACK) :
unit((point3d(svec) + BACK) / 2, BACK)
)
) [anchor, pos, vec, 0]
) : type == "ellipse"? ( //r

35
geometry.scad
View file

@ -2296,24 +2296,27 @@ module hull_points(points, fast=false) {
no_children($children);
check = assert(is_path(points))
assert(len(points)>=3, "Point list must contain 3 points");
if (len(points[0])==2)
hull() polygon(points=points);
else {
if (fast) {
extra = len(points)%3;
faces = [
[for(i=[0:1:extra+2])i], // If vertex count not divisible by 3, combine extras with first 3
for(i=[extra+3:3:len(points)-3])[i,i+1,i+2]
];
hull() polyhedron(points=points, faces=faces);
} else {
faces = hull(points);
if (is_num(faces[0])){
if (len(faces)<=2) echo("Hull contains only two points");
else polyhedron(points=points, faces=[faces]);
attachable(){
if (len(points[0])==2)
hull() polygon(points=points);
else {
if (fast) {
extra = len(points)%3;
faces = [
[for(i=[0:1:extra+2])i], // If vertex count not divisible by 3, combine extras with first 3
for(i=[extra+3:3:len(points)-3])[i,i+1,i+2]
];
hull() polyhedron(points=points, faces=faces);
} else {
faces = hull(points);
if (is_num(faces[0])){
if (len(faces)<=2) echo("Hull contains only two points");
else polyhedron(points=points, faces=[faces]);
}
else polyhedron(points=points, faces=faces);
}
else polyhedron(points=points, faces=faces);
}
union();
}
}

201
shapes2d.scad
View file

@ -112,6 +112,9 @@ module square(size=1, center, anchor, spin) {
// Example(2D): "perim" Anchors
// rect([40,30], rounding=10, atype="perim")
// show_anchors();
// Example(2D): "perim" Anchors
// rect([40,30], rounding=[-10,-8,-3,-7], atype="perim")
// show_anchors();
// Example(2D): Mixed Chamferring and Rounding
// rect([40,30],rounding=[5,0,10,0],chamfer=[0,8,0,15],$fa=1,$fs=1);
// Example(2D): Called as Function
@ -120,52 +123,49 @@ module square(size=1, center, anchor, spin) {
// move_copies(path) color("blue") circle(d=2,$fn=8);
module rect(size=1, rounding=0, atype="box", chamfer=0, anchor=CENTER, spin=0) {
errchk = assert(in_list(atype, ["box", "perim"]));
size = is_num(size)? [size,size] : point2d(size);
size = force_list(size,2);
if (rounding==0 && chamfer==0) {
attachable(anchor, spin, two_d=true, size=size) {
square(size, center=true);
children();
}
} else {
pts = rect(size=size, rounding=rounding, chamfer=chamfer);
if (atype == "perim") {
attachable(anchor, spin, two_d=true, path=pts) {
pts_over = rect(size=size, rounding=rounding, chamfer=chamfer, atype=atype, _return_override=true);
pts = pts_over[0];
override = pts_over[1];
attachable(anchor, spin, two_d=true, size=size,override=override) {
polygon(pts);
children();
}
} else {
attachable(anchor, spin, two_d=true, size=size) {
polygon(pts);
children();
}
}
}
}
function rect(size=1, rounding=0, chamfer=0, atype="box", anchor=CENTER, spin=0) =
assert(is_num(size) || is_vector(size))
assert(is_num(chamfer) || len(chamfer)==4)
assert(is_num(rounding) || len(rounding)==4)
function rect(size=1, rounding=0, chamfer=0, atype="box", anchor=CENTER, spin=0, _return_override) =
assert(is_num(size) || is_vector(size,2))
assert(is_num(chamfer) || is_vector(chamfer,4))
assert(is_num(rounding) || is_vector(rounding,4))
assert(in_list(atype, ["box", "perim"]))
let(
anchor=point2d(anchor),
size = is_num(size)? [size,size] : point2d(size),
complex = rounding!=0 || chamfer!=0
size = force_list(size,2),
chamfer = force_list(chamfer,4),
rounding = force_list(rounding,4)
)
(rounding==0 && chamfer==0)? let(
path = [
[ size.x/2, -size.y/2],
[-size.x/2, -size.y/2],
[-size.x/2, size.y/2],
[ size.x/2, size.y/2]
]
)
rot(spin, p=move(-v_mul(anchor,size/2), p=path)) :
all_zero(concat(chamfer,rounding),0) ?
let(
path = [
[ size.x/2, -size.y/2],
[-size.x/2, -size.y/2],
[-size.x/2, size.y/2],
[ size.x/2, size.y/2]
]
)
rot(spin, p=move(-v_mul(anchor,size/2), p=path))
:
assert(all_zero(v_mul(chamfer,rounding),0), "Cannot specify chamfer and rounding at the same corner")
let(
chamfer = is_list(chamfer)? chamfer : [for (i=[0:3]) chamfer],
rounding = is_list(rounding)? rounding : [for (i=[0:3]) rounding],
quadorder = [3,2,1,0],
quadpos = [[1,1],[-1,1],[-1,-1],[1,-1]],
eps = 1e-9,
@ -176,7 +176,7 @@ function rect(size=1, rounding=0, chamfer=0, atype="box", anchor=CENTER, spin=0)
assert(insets_x <= size.x, "Requested roundings and/or chamfers exceed the rect width.")
assert(insets_y <= size.y, "Requested roundings and/or chamfers exceed the rect height.")
let(
path = [
corners = [
for(i = [0:3])
let(
quad = quadorder[i],
@ -191,13 +191,20 @@ function rect(size=1, rounding=0, chamfer=0, atype="box", anchor=CENTER, spin=0)
abs(qround) >= eps? [for (j=[0:1:cverts]) let(a=90-j*step) v_mul(polar_to_xy(abs(qinset),a),[sign(qinset),1])] :
[[0,0]],
qfpts = [for (p=qpts) v_mul(p,qpos)],
qrpts = qpos.x*qpos.y < 0? reverse(qfpts) : qfpts
)
each move(cp, p=qrpts)
]
) complex && atype=="perim"?
reorient(anchor,spin, two_d=true, path=path, p=path) :
reorient(anchor,spin, two_d=true, size=size, p=path);
qrpts = qpos.x*qpos.y < 0? reverse(qfpts) : qfpts,
cornerpt = atype=="box" || (qround==0 && qchamf==0) ? undef
: qround<0 || qchamf<0 ? [[0,-qpos.y*min(qround,qchamf)]]
: [for(seg=pair(qrpts)) let(isect=line_intersection(seg, [[0,0],qpos],SEGMENT,LINE)) if (is_def(isect) && isect!=seg[0]) isect]
)
assert(is_undef(cornerpt) || len(cornerpt)==1,"Cannot find corner point to anchor")
[move(cp, p=qrpts), is_undef(cornerpt)? undef : move(cp,p=cornerpt[0])]
],
path = flatten(column(corners,0)),
override = [for(i=[0:3])
let(quad=quadorder[i])
if (is_def(corners[i][1])) [quadpos[quad], [corners[i][1], min(chamfer[quad],rounding[quad])<0 ? [quadpos[quad].x,0] : undef]]]
) _return_override ? [reorient(anchor,spin, two_d=true, size=size, p=path, override=override), override]
: reorient(anchor,spin, two_d=true, size=size, p=path, override=override);
// Function&Module: circle()
@ -868,8 +875,12 @@ module right_triangle(size=[1,1], center, anchor, spin=0) {
// rounding = The rounding radius for the corners. If given as a list of four numbers, gives individual radii for each corner, in the order [X+Y+,X-Y+,X-Y-,X+Y-]. Default: 0 (no rounding)
// chamfer = The Length of the chamfer faces at the corners. If given as a list of four numbers, gives individual chamfers for each corner, in the order [X+Y+,X-Y+,X-Y-,X+Y-]. Default: 0 (no chamfer)
// flip = If true, negative roundings and chamfers will point forward and back instead of left and right. Default: `false`.
// atype = The type of anchoring to use with `anchor=`. Valid opptions are "box" and "perim". This lets you choose between putting anchors on the rounded or chamfered perimeter, or on the square bounding box of the shape. Default: "box"
// anchor = Translate so anchor point is at origin (0,0,0). See [anchor](attachments.scad#subsection-anchor). Default: `CENTER`
// spin = Rotate this many degrees around the Z axis after anchor. See [spin](attachments.scad#subsection-spin). Default: `0`
// Anchor Types:
// box = Anchor is with respect to the rectangular bounding box of the shape.
// perim = Anchors are placed along the rounded or chamfered perimeter of the shape.
// Examples(2D):
// trapezoid(h=30, w1=40, w2=20);
// trapezoid(h=25, w1=20, w2=35);
@ -893,9 +904,17 @@ module right_triangle(size=[1,1], center, anchor, spin=0) {
// trapezoid(h=30, w1=60, w2=40, rounding=-5, flip=true);
// Example(2D): Mixed Chamfering and Rounding
// trapezoid(h=30, w1=60, w2=40, rounding=[5,0,-10,0],chamfer=[0,8,0,-15],$fa=1,$fs=1);
// Example(2D): default anchors for roundings
// trapezoid(h=30, w1=100, ang=[66,44],rounding=5) show_anchors();
// Example(2D): default anchors for negative roundings are still at the trapezoid corners
// trapezoid(h=30, w1=100, ang=[66,44],rounding=-5) show_anchors();
// Example(2D): "perim" anchors are at the tips of negative roundings
// trapezoid(h=30, w1=100, ang=[66,44],rounding=-5, atype="perim") show_anchors();
// Example(2D): They point the other direction if you flip them
// trapezoid(h=30, w1=100, ang=[66,44],rounding=-5, atype="perim",flip=true) show_anchors();
// Example(2D): Called as Function
// stroke(closed=true, trapezoid(h=30, w1=40, w2=20));
function trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anchor=CENTER, spin=0, angle) =
function trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anchor=CENTER, spin=0, ,atype="box", _return_override, angle) =
assert(is_undef(angle), "The angle parameter has been replaced by ang, which specifies trapezoid interior angle")
assert(is_undef(h) || is_finite(h))
assert(is_undef(w1) || is_finite(w1))
@ -919,11 +938,12 @@ function trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anc
w1 = is_def(w1)? w1 : w2 + x1 + x2,
w2 = is_def(w2)? w2 : w1 - x1 - x2,
shift = first_defined([shift,(x1-x2)/2]),
chamfs = is_num(chamfer)? [for (i=[0:3]) chamfer] :
assert(len(chamfer)==4) chamfer,
rounds = is_num(rounding)? [for (i=[0:3]) rounding] :
assert(len(rounding)==4) rounding,
srads = [for (i=[0:3]) rounds[i]? rounds[i] : chamfs[i]],
chamfer = force_list(chamfer,4),
rounding = force_list(rounding,4)
)
assert(all_zero(v_mul(chamfer,rounding),0), "Cannot specify chamfer and rounding at the same corner")
let(
srads = chamfer+rounding,
rads = v_abs(srads)
)
assert(w1>=0 && w2>=0 && h>0, "Degenerate trapezoid geometry.")
@ -947,65 +967,70 @@ function trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anc
b = a + [hyps[i] * qdirs[i].x * (srads[i]<0 && !flip? 1 : -1), 0]
) b
],
cpath = [
each (
corners = [
(
let(i = 0)
rads[i] == 0? [base[i]] :
srads[i] > 0? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i], 90], r=rads[i]) :
flip? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i],-90], r=rads[i]) :
arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],90], r=rads[i])
rads[i] == 0? [base[i]]
: srads[i] > 0? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i], 90], r=rads[i])
: flip? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i],-90], r=rads[i])
: arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],90], r=rads[i])
),
each (
(
let(i = 1)
rads[i] == 0? [base[i]] :
srads[i] > 0? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[90,180+angs[i]], r=rads[i]) :
flip? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[270,180+angs[i]], r=rads[i]) :
arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[90,angs[i]], r=rads[i])
rads[i] == 0? [base[i]]
: srads[i] > 0? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[90,180+angs[i]], r=rads[i])
: flip? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[270,180+angs[i]], r=rads[i])
: arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[90,angs[i]], r=rads[i])
),
each (
(
let(i = 2)
rads[i] == 0? [base[i]] :
srads[i] > 0? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],270], r=rads[i]) :
flip? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],90], r=rads[i]) :
arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i],-90], r=rads[i])
rads[i] == 0? [base[i]]
: srads[i] > 0? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],270], r=rads[i])
: flip? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[180+angs[i],90], r=rads[i])
: arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[angs[i],-90], r=rads[i])
),
each (
(
let(i = 3)
rads[i] == 0? [base[i]] :
srads[i] > 0? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[-90,angs[i]], r=rads[i]) :
flip? arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[90,angs[i]], r=rads[i]) :
arc(n=rounds[i]?undef:2, cp=base[i]+offs[i], angle=[270,180+angs[i]], r=rads[i])
rads[i] == 0? [base[i]]
: srads[i] > 0? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[-90,angs[i]], r=rads[i])
: flip? arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[90,angs[i]], r=rads[i])
: arc(n=rounding[i]?undef:2, cp=base[i]+offs[i], angle=[270,180+angs[i]], r=rads[i])
),
],
path = reverse(cpath)
) true //simple // force regular anchoring
? reorient(anchor,spin, two_d=true, size=[w1,h], size2=w2, shift=shift, p=path)
: reorient(anchor,spin, two_d=true, path=path, p=path);
path = reverse(flatten(corners)),
override = [for(i=[0:3])
if (atype!="box" && srads[i]!=0)
srads[i]>0?
let(dir = unit(base[i]-select(base,i-1)) + unit(base[i]-select(base,i+1)),
pt=[for(seg=pair(corners[i])) let(isect=line_intersection(seg, [base[i],base[i]+dir],SEGMENT,LINE))
if (is_def(isect) && isect!=seg[0]) isect]
)
[qdirs[i], [pt[0], undef]]
: flip?
let( dir=unit(base[i] - select(base,i+(i%2==0?-1:1))))
[qdirs[i], [select(corners[i],i%2==0?0:-1), dir]]
: let( dir = [qdirs[i].x,0])
[qdirs[i], [select(corners[i],i%2==0?-1:0), dir]]]
) _return_override ? [reorient(anchor,spin, two_d=true, size=[w1,h], size2=w2, shift=shift, p=path, override=override),override]
: reorient(anchor,spin, two_d=true, size=[w1,h], size2=w2, shift=shift, p=path, override=override);
module trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anchor=CENTER, spin=0, angle) {
path = trapezoid(h=h, w1=w1, w2=w2, ang=ang, shift=shift, chamfer=chamfer, rounding=rounding, flip=flip, angle=angle);
union() {
simple = true; //chamfer==0 && rounding==0; // force "normal" anchoring for now
ang = force_list(ang,2);
h = is_def(h)? h : (w1-w2) * sin(ang[0]) * sin(ang[1]) / sin(ang[0]+ang[1]);
x1 = is_undef(ang[0]) || ang[0]==90 ? 0 : h/tan(ang[0]);
x2 = is_undef(ang[1]) || ang[1]==90 ? 0 : h/tan(ang[1]);
w1 = is_def(w1)? w1 : w2 + x1 + x2;
w2 = is_def(w2)? w2 : w1 - x1 - x2;
shift = first_defined([shift,(x1-x2)/2]);
if (simple) {
attachable(anchor,spin, two_d=true, size=[w1,h], size2=w2, shift=shift) {
polygon(path);
children();
}
} else {
attachable(anchor,spin, two_d=true, path=path) {
polygon(path);
children();
}
}
module trapezoid(h, w1, w2, ang, shift, chamfer=0, rounding=0, flip=false, anchor=CENTER, spin=0, atype="box", angle) {
path_over = trapezoid(h=h, w1=w1, w2=w2, ang=ang, shift=shift, chamfer=chamfer, rounding=rounding, flip=flip, angle=angle,atype=atype,_return_override=true);
path=path_over[0];
override = path_over[1];
ang = force_list(ang,2);
h = is_def(h)? h : (w1-w2) * sin(ang[0]) * sin(ang[1]) / sin(ang[0]+ang[1]);
x1 = is_undef(ang[0]) || ang[0]==90 ? 0 : h/tan(ang[0]);
x2 = is_undef(ang[1]) || ang[1]==90 ? 0 : h/tan(ang[1]);
w1 = is_def(w1)? w1 : w2 + x1 + x2;
w2 = is_def(w2)? w2 : w1 - x1 - x2;
shift = first_defined([shift,(x1-x2)/2]);
attachable(anchor,spin, two_d=true, size=[w1,h], size2=w2, shift=shift, override=override) {
polygon(path);
children();
}
}