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< article id = "content" >
< header >
< h1 class = "title" > Module < code > openscad_py.path_tube< / code > < / h1 >
< / header >
< section id = "section-intro" >
< / section >
< section >
< / section >
< section >
< / section >
< section >
< / section >
< section >
< h2 class = "section-title" id = "header-classes" > Classes< / h2 >
< dl >
< dt id = "openscad_py.path_tube.PathTube" > < code class = "flex name class" >
< span > class < span class = "ident" > PathTube< / span > < / span >
< span > (< / span > < span > points: < a title = "openscad_py.point.Point" href = "point.html#openscad_py.point.Point" > Point< / a > ],< br > radius: < br > fn: < br > make_torus: < br > convexity: < / span >
< / code > < / dt >
< dd >
< div class = "desc" > < p > Creates a tube-like or toroid polyhedron from a path (list of points).< / p >
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< h2 id = "arguments" > Arguments< / h2 >
< ul >
< li > points: The list of points< / li >
< li > radius: A float or a list of floats for each point< / li >
< li > fn: int, The number of sides< / li >
< li > make_torus: bool, Whether to make a torus instead of a pipe with ends. Warning: the last segment may be twisted.< / li >
< li > convexity: see openscad< / li >
< / ul > < / div >
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< details class = "source" >
< summary >
< span > Expand source code< / span >
< / summary >
< pre > < code class = "python" > class PathTube(Object):
" " " Creates a tube-like or toroid polyhedron from a path (list of points)." " "
def __init__(self, points: List[TUnion[list, Point]], radius: TUnion[float, list], fn: int, make_torus: bool = False, convexity: int = 10):
" " "
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Arguments:
- points: The list of points
- radius: A float or a list of floats for each point
- fn: int, The number of sides
- make_torus: bool, Whether to make a torus instead of a pipe with ends. Warning: the last segment may be twisted.
- convexity: see openscad
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" " "
self.points = [Point.c(p) for p in points]
self.radii = radius if isinstance(radius, list) else [radius for p in points]
self.fn = fn
self.make_torus = make_torus
self.convexity = convexity
def process(self, debug: bool = False) -> Polyhedron:
" " " Generate a Polyhedron object from the parameters" " "
points_rows = []
for ix, point in enumerate(self.points):
if debug: print(f" //LOOP {ix}: {point.render()}" )
if (not self.make_torus) and ix == 0:
# Start of the path
v = self.points[1].sub(point) # vector toward the first point
z_point = Point([0,0,1])
seam = v.cross(z_point) # Track a seam along the pipe using this vector pointing from the middle line
if seam.length() == 0: # v is in the z direction
seam = Point([1,0,0])
seam = seam.norm()
seam2 = v.cross(seam).norm()
if debug: print(f" //Start. v={v.render()} seam={seam.render()} seam2={seam2.render()}" )
points = []
for i in range(self.fn):
a = math.pi*2*i/self.fn
points.append((seam*math.cos(a) + seam2*math.sin(a))*self.radii[ix] + point)
points_rows.append(points)
if debug: print(f" // Row: {' , ' .join([p.render() for p in points])}" )
elif (not self.make_torus) and ix == len(self.points) - 1:
# End of the path
v = point.sub(self.points[-2])
seam2 = v.cross(seam).norm()
if debug: print(f" //End. v={v.render()} seam={seam.render()} seam2={seam2.render()}" )
points = []
for i in range(self.fn):
a = math.pi*2*i/self.fn
points.append((seam*math.cos(a) + seam2*math.sin(a))*self.radii[ix] + point)
points_rows.append(points)
if debug: print(f" // Row: {' , ' .join([p.render() for p in points])}" )
else:
# Middle of the path
iprev = ix - 1 if ix > 0 else len(self.points) - 1
inext = ix + 1 if ix < len(self.points) - 1 else 0
# (p[-1]) -va-> (p[0]) -vb-> (p[1])
va = point.sub(self.points[iprev]).norm() # vector incoming to this elbow
vb = self.points[inext].sub(point).norm() # vector going out from this elbow
if debug: print(f" //Middle. va={va.render()} vb={vb.render()}" )
# Get the vector perpendicular to va that points to the inside of the cylinder around va according
# to the elbow at p[0]. This is the component of vb in a basis defined by va.
vdot = va.dot(vb)
vb_proj = va.scale(vdot) # The projection of vb onto va
vb_perp = vb.sub(vb_proj) # This is perpendicular to va
if debug: print(f" // vb_proj={vb_proj.render()} vb_perp={vb_perp.render()}" )
va_inner = vb_perp.norm()
va_proj = vb.scale(vdot)
va_perp = va.sub(va_proj)
if debug: print(f" // va_proj={va_proj.render()} va_perp={va_perp.render()}" )
vb_inner = va_perp.scale(-1).norm() # Here we want to project -va onto vb
if debug: print(f" // va_inner={va_inner.render()} vb_inner={vb_inner.render()}" )
if ix == 0:
# We just choose a seam when making a torus
seam_angle = 0
else:
# The new seam on vb (seam_b) has the same angle to vb_inner as it had on va to va_inner
seam_angle = seam.angle(va_inner, mode=" rad" )
# need to figure out the sign of the angle
if seam_angle != 0:
if va_inner.cross(seam).dot(va) < 0:
seam_angle = -seam_angle
vb_inner2 = vb.cross(vb_inner).norm()
seam_b = vb_inner*math.cos(seam_angle) + vb_inner2*math.sin(seam_angle)
if debug:
if ix == 0:
print(f" // seam=N/A seam_b={seam_b.render()}" )
else:
print(f" // seam={seam.render()} seam_b={seam_b.render()}" )
vangle = va.scale(-1).angle(vb, mode=" rad" )
long_inner = (vb-va).norm().scale(1/math.sin(vangle/2))
# long_inner is the long axis of the elliptic intersection between the cylinders around va and vb
short = va.cross(long_inner).norm() # the short axis of the ellipse
if debug: print(f" // long_inner={long_inner.render()} short={short.render()} vangle={vangle/math.pi*180}(deg) seam_angle={seam_angle/math.pi*180}(deg)" )
points = []
for i in range(self.fn):
# We draw the ellipse according to long_inner and short, but use seam_angle to get the right points
a = math.pi*2*i/self.fn + seam_angle
points.append((long_inner*math.cos(a) + short*math.sin(a))*self.radii[ix] + point)
points_rows.append(points)
if debug: print(f" // Row: {' , ' .join([p.render() for p in points])}" )
seam = seam_b
return Polyhedron.tube(points=points_rows, convexity=self.convexity, make_torus=self.make_torus)
def render(self) -> str:
" " " Render the object into OpenSCAD code" " "
return self.process().render()< / code > < / pre >
< / details >
< h3 > Ancestors< / h3 >
< ul class = "hlist" >
< li > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / li >
< / ul >
< h3 > Methods< / h3 >
< dl >
< dt id = "openscad_py.path_tube.PathTube.color" > < code class = "name flex" >
< span > def < span class = "ident" > color< / span > < / span > (< span > self, r, g, b, a=1.0) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.color" href = "object_.html#openscad_py.object_.Object.color" > color< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a color and return a new object.
See < a href = "https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#color" > https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#color< / a > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.delta_offset" > < code class = "name flex" >
< span > def < span class = "ident" > delta_offset< / span > < / span > (< span > self, delta, chamfer=False)< / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.delta_offset" href = "object_.html#openscad_py.object_.Object.delta_offset" > delta_offset< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Return a new 2D interior or exterior outline from an existing outline.
See < a href = "https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#offset" > https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#offset< / a > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.diff" > < code class = "name flex" >
< span > def < span class = "ident" > diff< / span > < / span > (< span > self,< br > tool: < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > ')) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.diff" href = "object_.html#openscad_py.object_.Object.diff" > diff< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Remove from the object using a difference operator, and return a new object.
See …< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.extrude" > < code class = "name flex" >
< span > def < span class = "ident" > extrude< / span > < / span > (< span > self, height, convexity=10, center: ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.extrude" href = "object_.html#openscad_py.object_.Object.extrude" > extrude< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a linear extrusion and return a new object.
If < code > center< / code > is false, the linear extrusion Z range is from 0 to height;
if it is true, the range is …< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.intersection" > < code class = "name flex" >
< span > def < span class = "ident" > intersection< / span > < / span > (< span > self,< br > objects: < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > ')) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.intersection" href = "object_.html#openscad_py.object_.Object.intersection" > intersection< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Get the intersection of self and an object of list of objects, and return a new object.
See …< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.move" > < code class = "name flex" >
< span > def < span class = "ident" > move< / span > < / span > (< span > self,< br > v: < a title = "openscad_py.point.Point" href = "point.html#openscad_py.point.Point" > Point< / a > ) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.move" href = "object_.html#openscad_py.object_.Object.move" > move< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a translation and return a new object. Synonym of < code > translate()< / code > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.process" > < code class = "name flex" >
< span > def < span class = "ident" > process< / span > < / span > (< span > self, debug: ‑ < a title = "openscad_py.polyhedron.Polyhedron" href = "polyhedron.html#openscad_py.polyhedron.Polyhedron" > Polyhedron< / a > < / span >
< / code > < / dt >
< dd >
< div class = "desc" > < p > Generate a Polyhedron object from the parameters< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.radial_offset" > < code class = "name flex" >
< span > def < span class = "ident" > radial_offset< / span > < / span > (< span > self, r)< / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.radial_offset" href = "object_.html#openscad_py.object_.Object.radial_offset" > radial_offset< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Return a new 2D interior or exterior outline from an existing outline.
See < a href = "https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#offset" > https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#offset< / a > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.render" > < code class = "name flex" >
< span > def < span class = "ident" > render< / span > < / span > (< span > self) ‑ < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.render" href = "object_.html#openscad_py.object_.Object.render" > render< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Render the object into OpenSCAD code< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.rotate" > < code class = "name flex" >
< span > def < span class = "ident" > rotate< / span > < / span > (< span > self,< br > a,< br > v: < a title = "openscad_py.point.Point" href = "point.html#openscad_py.point.Point" > Point< / a > ) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.rotate" href = "object_.html#openscad_py.object_.Object.rotate" > rotate< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a rotation and return a new object.
See < a href = "https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#rotate" > https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#rotate< / a > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.rotate_extrude" > < code class = "name flex" >
< span > def < span class = "ident" > rotate_extrude< / span > < / span > (< span > self, angle, convexity=10) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.rotate_extrude" href = "object_.html#openscad_py.object_.Object.rotate_extrude" > rotate_extrude< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a rotational extrusion and return a new object. For all points x > = 0 must be true.
See …< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.scale" > < code class = "name flex" >
< span > def < span class = "ident" > scale< / span > < / span > (< span > self,< br > v: < a title = "openscad_py.point.Point" href = "point.html#openscad_py.point.Point" > Point< / a > ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.scale" href = "object_.html#openscad_py.object_.Object.scale" > scale< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply scaling and return a new object. Accepts a vector (a Point object or a list of floats)
or a single float for uniform scaling.
See …< / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.translate" > < code class = "name flex" >
< span > def < span class = "ident" > translate< / span > < / span > (< span > self,< br > v: < a title = "openscad_py.point.Point" href = "point.html#openscad_py.point.Point" > Point< / a > ) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.translate" href = "object_.html#openscad_py.object_.Object.translate" > translate< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Apply a translation and return a new object.
See < a href = "https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#translate" > https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#translate< / a > < / p > < / div >
< / dd >
< dt id = "openscad_py.path_tube.PathTube.union" > < code class = "name flex" >
< span > def < span class = "ident" > union< / span > < / span > (< span > self,< br > objects: < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > ')) ‑ < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / span >
< / code > < / dt >
< dd >
< p class = "inheritance" >
< em > Inherited from:< / em >
< code > < a title = "openscad_py.object_.Object" href = "object_.html#openscad_py.object_.Object" > Object< / a > < / code > .< code > < a title = "openscad_py.object_.Object.union" href = "object_.html#openscad_py.object_.Object.union" > union< / a > < / code >
< / p >
< div class = "desc inherited" > < p > Form the union of self and an object or list of objects, and return a new object.
See …< / p > < / div >
< / dd >
< / dl >
< / dd >
< / dl >
< / section >
< / article >
< nav id = "sidebar" >
< div class = "toc" >
< ul > < / ul >
< / div >
< ul id = "index" >
< li > < h3 > Super-module< / h3 >
< ul >
< li > < code > < a title = "openscad_py" href = "index.html" > openscad_py< / a > < / code > < / li >
< / ul >
< / li >
< li > < h3 > < a href = "#header-classes" > Classes< / a > < / h3 >
< ul >
< li >
< h4 > < code > < a title = "openscad_py.path_tube.PathTube" href = "#openscad_py.path_tube.PathTube" > PathTube< / a > < / code > < / h4 >
< ul class = "two-column" >
< li > < code > < a title = "openscad_py.path_tube.PathTube.color" href = "object_.html#openscad_py.path_tube.PathTube.color" > color< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.delta_offset" href = "object_.html#openscad_py.path_tube.PathTube.delta_offset" > delta_offset< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.diff" href = "object_.html#openscad_py.path_tube.PathTube.diff" > diff< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.extrude" href = "object_.html#openscad_py.path_tube.PathTube.extrude" > extrude< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.intersection" href = "object_.html#openscad_py.path_tube.PathTube.intersection" > intersection< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.move" href = "object_.html#openscad_py.path_tube.PathTube.move" > move< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.process" href = "#openscad_py.path_tube.PathTube.process" > process< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.radial_offset" href = "object_.html#openscad_py.path_tube.PathTube.radial_offset" > radial_offset< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.render" href = "#openscad_py.path_tube.PathTube.render" > render< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.rotate" href = "object_.html#openscad_py.path_tube.PathTube.rotate" > rotate< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.rotate_extrude" href = "object_.html#openscad_py.path_tube.PathTube.rotate_extrude" > rotate_extrude< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.scale" href = "object_.html#openscad_py.path_tube.PathTube.scale" > scale< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.translate" href = "object_.html#openscad_py.path_tube.PathTube.translate" > translate< / a > < / code > < / li >
< li > < code > < a title = "openscad_py.path_tube.PathTube.union" href = "object_.html#openscad_py.path_tube.PathTube.union" > union< / a > < / code > < / li >
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< footer id = "footer" >
< p > Generated by < a href = "https://pdoc3.github.io/pdoc" title = "pdoc: Python API documentation generator" > < cite > pdoc< / cite > 0.11.3< / a > .< / p >
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