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