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pylib/docs/build/html/pylib.geometry.html
Daniel Weschke 4fc4903dc2 change data, mathematics, function, geometry and geometry_plot_pylab. add data_step, data_step_std and helper. add an example and more documentation. 
inside the data module rename read to read_columns add add new read function to read the whole file as string. add print_list function to print one element per line. add unique_list and unique_list_hashable to reduce the list into a unique list with same order. add find_last, str_between, str_to_list functions.

inside the mathematics module for vector add normalized creating a new object (normalize will change the object), isclose and iscloseto, change ang to round internal number. for matrix improve slicing and add transposed creating a new object (transpose will change object).

inside the function module add b_spline_basis, b_spline_curve_with_knots and b_spline_knots functions. add sample_hal_open and sample_half_open_seq. add circle and ellipse.

inside the geometry module change CS init from using lists to Directions and add new constructor CS.init_xzy using lists. rename Wireframe to Polyline. add classes B_spline_curve_with_knots, Ellipse, ArcCircle, ArcEllipse, ArcBSplineCurveWithKnots. add function sample_half_open to create a list of Points.

inside the geometry_plot_pylab module change the help text.

add step_and data data_step_std module to read a step file to list and draw the content.

add helper module with context manager and decorator timeit to meassure the time for a section or function.

add example for b_spline function.
2020-01-08 21:59:53 +01:00

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<title>pylib.geometry module &#8212; pylib 2019.12.21 documentation</title>
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<div class="section" id="module-pylib.geometry">
<span id="pylib-geometry-module"></span><h1>pylib.geometry module<a class="headerlink" href="#module-pylib.geometry" title="Permalink to this headline"></a></h1>
<p>Geometry objects.</p>
<dl class="field-list simple">
<dt class="field-odd">Date</dt>
<dd class="field-odd"><p>2019-12-21</p>
</dd>
</dl>
<span class="target" id="module-geometry"></span><p class="rubric">Affine transforms</p>
<p>Functions in augmented space, in homogenous coordinates.
Points are augment to 4 dimensions, by adding a dummy coordinate.
For points the dummy coordinate is always normalized to 1.
With homogenous coordinates translation of points is repesentable
as a linear transformation.</p>
<dl class="class">
<dt id="pylib.geometry.ArcBSplineCurveWithKnots">
<em class="property">class </em><code class="sig-name descname">ArcBSplineCurveWithKnots</code><span class="sig-paren">(</span><em class="sig-param">degree</em>, <em class="sig-param">control_points</em>, <em class="sig-param">knot_multiplicities</em>, <em class="sig-param">knots</em>, <em class="sig-param">start</em>, <em class="sig-param">end</em>, <em class="sig-param">n=5</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#ArcBSplineCurveWithKnots"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.ArcBSplineCurveWithKnots" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>B-spline curve with knots, an open wireframe object in local
coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.ArcCircle">
<em class="property">class </em><code class="sig-name descname">ArcCircle</code><span class="sig-paren">(</span><em class="sig-param">radius=1</em>, <em class="sig-param">ang1=0</em>, <em class="sig-param">ang2=1.5707963267948966</em>, <em class="sig-param">n=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#ArcCircle"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.ArcCircle" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>Arc of a circle, an open wireframe object in local coordinate
system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.ArcEllipse">
<em class="property">class </em><code class="sig-name descname">ArcEllipse</code><span class="sig-paren">(</span><em class="sig-param">a=1</em>, <em class="sig-param">b=1</em>, <em class="sig-param">ang1=0</em>, <em class="sig-param">ang2=1.5707963267948966</em>, <em class="sig-param">n=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#ArcEllipse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.ArcEllipse" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>Arc of an ellipse, an open wireframe object in local
coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.B_spline_curve_with_knots">
<em class="property">class </em><code class="sig-name descname">B_spline_curve_with_knots</code><span class="sig-paren">(</span><em class="sig-param">degree</em>, <em class="sig-param">control_points</em>, <em class="sig-param">knot_multiplicities</em>, <em class="sig-param">knots</em>, <em class="sig-param">n=5</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#B_spline_curve_with_knots"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.B_spline_curve_with_knots" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>B-spline curve with knots, an open wireframe object in local
coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.CS">
<em class="property">class </em><code class="sig-name descname">CS</code><span class="sig-paren">(</span><em class="sig-param">x=vector([1</em>, <em class="sig-param">0</em>, <em class="sig-param">0</em>, <em class="sig-param">0])</em>, <em class="sig-param">y=vector([0</em>, <em class="sig-param">1</em>, <em class="sig-param">0</em>, <em class="sig-param">0])</em>, <em class="sig-param">z=vector([0</em>, <em class="sig-param">0</em>, <em class="sig-param">1</em>, <em class="sig-param">0])</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="pylib.mathematics.html#pylib.mathematics.matrix" title="pylib.mathematics.matrix"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.mathematics.matrix</span></code></a></p>
<p>Coordinate system</p>
<dl class="method">
<dt id="pylib.geometry.CS.get_coordinates">
<code class="sig-name descname">get_coordinates</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.get_coordinates"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.get_coordinates" title="Permalink to this definition"></a></dt>
<dd><p>Get coordinates in 3d space</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.CS.init_xyz">
<em class="property">classmethod </em><code class="sig-name descname">init_xyz</code><span class="sig-paren">(</span><em class="sig-param">x=[1, 0, 0], y=[0, 1, 0], z=[0, 0, 1]</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.init_xyz"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.init_xyz" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.CS.x90">
<em class="property">classmethod </em><code class="sig-name descname">x90</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.x90"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.x90" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.CS.xm90">
<em class="property">classmethod </em><code class="sig-name descname">xm90</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.xm90"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.xm90" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.CS.y90">
<em class="property">classmethod </em><code class="sig-name descname">y90</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.y90"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.y90" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.CS.ym90">
<em class="property">classmethod </em><code class="sig-name descname">ym90</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#CS.ym90"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.CS.ym90" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Circle">
<em class="property">class </em><code class="sig-name descname">Circle</code><span class="sig-paren">(</span><em class="sig-param">radius=1</em>, <em class="sig-param">n=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Circle"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Circle" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polygon" title="pylib.geometry.Polygon"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polygon</span></code></a></p>
<p>Circle, a closed wireframe object in local coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Direction">
<em class="property">class </em><code class="sig-name descname">Direction</code><span class="sig-paren">(</span><em class="sig-param">x=1</em>, <em class="sig-param">y=0</em>, <em class="sig-param">z=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Direction"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Direction" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="pylib.mathematics.html#pylib.mathematics.vector" title="pylib.mathematics.vector"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.mathematics.vector</span></code></a></p>
<p>Direction in local coordinate system</p>
<dl class="method">
<dt id="pylib.geometry.Direction.cross">
<em class="property">classmethod </em><code class="sig-name descname">cross</code><span class="sig-paren">(</span><em class="sig-param">a</em>, <em class="sig-param">b</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Direction.cross"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Direction.cross" title="Permalink to this definition"></a></dt>
<dd><p>Cross product</p>
<dl class="field-list simple">
</dl>
<p>c is orthogonal to both a and b.
The direction of c can be found with the right-hand rule.</p>
<div class="math notranslate nohighlight">
\[\mathbf{c} = \mathbf{a} \times \mathbf{b}\]</div>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Ellipse">
<em class="property">class </em><code class="sig-name descname">Ellipse</code><span class="sig-paren">(</span><em class="sig-param">a=1</em>, <em class="sig-param">b=1</em>, <em class="sig-param">n=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Ellipse"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Ellipse" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polygon" title="pylib.geometry.Polygon"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polygon</span></code></a></p>
<p>Circle, a closed wireframe object in local coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Hexahedron">
<em class="property">class </em><code class="sig-name descname">Hexahedron</code><span class="sig-paren">(</span><em class="sig-param">point1=vector([-1</em>, <em class="sig-param">-1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point2=vector([1</em>, <em class="sig-param">-1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point3=vector([1</em>, <em class="sig-param">1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point4=vector([-1</em>, <em class="sig-param">1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point5=vector([-1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point6=vector([1</em>, <em class="sig-param">-1</em>, <em class="sig-param">1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point7=vector([1</em>, <em class="sig-param">1</em>, <em class="sig-param">1</em>, <em class="sig-param">1])</em>, <em class="sig-param">point8=vector([-1</em>, <em class="sig-param">1</em>, <em class="sig-param">1</em>, <em class="sig-param">1])</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Hexahedron"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Hexahedron" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Solid" title="pylib.geometry.Solid"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Solid</span></code></a></p>
<p>Line a open wireframe object in local coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Line">
<em class="property">class </em><code class="sig-name descname">Line</code><span class="sig-paren">(</span><em class="sig-param">point1=vector([-1</em>, <em class="sig-param">0</em>, <em class="sig-param">0</em>, <em class="sig-param">1])</em>, <em class="sig-param">point2=vector([1</em>, <em class="sig-param">0</em>, <em class="sig-param">0</em>, <em class="sig-param">1])</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Line"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Line" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>Line, an open wireframe object in local coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Point">
<em class="property">class </em><code class="sig-name descname">Point</code><span class="sig-paren">(</span><em class="sig-param">x=0</em>, <em class="sig-param">y=0</em>, <em class="sig-param">z=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Point"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Point" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="pylib.mathematics.html#pylib.mathematics.vector" title="pylib.mathematics.vector"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.mathematics.vector</span></code></a></p>
<p>Point in local coordinate system</p>
<dl class="method">
<dt id="pylib.geometry.Point.projection">
<code class="sig-name descname">projection</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Point.projection"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Point.projection" title="Permalink to this definition"></a></dt>
<dd><p>Orthographic projection to the xy-plane</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Polygon">
<em class="property">class </em><code class="sig-name descname">Polygon</code><span class="sig-paren">(</span><em class="sig-param">*points</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polygon"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polygon" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <a class="reference internal" href="#pylib.geometry.Polyline" title="pylib.geometry.Polyline"><code class="xref py py-class docutils literal notranslate"><span class="pre">pylib.geometry.Polyline</span></code></a></p>
<p>Polygon as closed wireframe object in local coordinate system</p>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Polyline">
<em class="property">class </em><code class="sig-name descname">Polyline</code><span class="sig-paren">(</span><em class="sig-param">*points</em>, <em class="sig-param">closed=False</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<p>Open and closed wireframe object in local coordinate system</p>
<p>This class create its own points (copy).</p>
<dl class="method">
<dt id="pylib.geometry.Polyline.__iter__">
<code class="sig-name descname">__iter__</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.__iter__"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.__iter__" title="Permalink to this definition"></a></dt>
<dd><p>Returns the Iterator object</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.__repr__">
<code class="sig-name descname">__repr__</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.__repr__"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.__repr__" title="Permalink to this definition"></a></dt>
<dd><p>Return repr(self).</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.__str__">
<code class="sig-name descname">__str__</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.__str__"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.__str__" title="Permalink to this definition"></a></dt>
<dd><p>Return str(self).</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.ch_cs">
<code class="sig-name descname">ch_cs</code><span class="sig-paren">(</span><em class="sig-param">cs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.ch_cs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.ch_cs" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.points">
<code class="sig-name descname">points</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.points"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.points" title="Permalink to this definition"></a></dt>
<dd><p>Get coordinates in 3d space</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.rotate_x">
<code class="sig-name descname">rotate_x</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.rotate_x"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.rotate_x" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.rotate_y">
<code class="sig-name descname">rotate_y</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.rotate_y"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.rotate_y" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.rotate_z">
<code class="sig-name descname">rotate_z</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.rotate_z"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.rotate_z" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.scale">
<code class="sig-name descname">scale</code><span class="sig-paren">(</span><em class="sig-param">sx</em>, <em class="sig-param">sy=None</em>, <em class="sig-param">sz=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.scale"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.scale" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.translate">
<code class="sig-name descname">translate</code><span class="sig-paren">(</span><em class="sig-param">tx</em>, <em class="sig-param">ty</em>, <em class="sig-param">tz</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.translate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.translate" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.xy">
<code class="sig-name descname">xy</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.xy"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.xy" title="Permalink to this definition"></a></dt>
<dd><p>Get coordinates in 3d space</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.Polyline.xyz">
<code class="sig-name descname">xyz</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Polyline.xyz"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Polyline.xyz" title="Permalink to this definition"></a></dt>
<dd><p>Get coordinates in 3d space</p>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Properties">
<em class="property">class </em><code class="sig-name descname">Properties</code><a class="reference internal" href="_modules/pylib/geometry.html#Properties"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Properties" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<dl class="attribute">
<dt id="pylib.geometry.Properties.circle_sectors">
<code class="sig-name descname">circle_sectors</code><em class="property"> = 12</em><a class="headerlink" href="#pylib.geometry.Properties.circle_sectors" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.Solid">
<em class="property">class </em><code class="sig-name descname">Solid</code><span class="sig-paren">(</span><em class="sig-param">*wireframes</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Solid"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Solid" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<p>Solid object in local coordinate system</p>
<p>This class lists Wireframe objects.
The Wireframe class create its own points (copy).</p>
<dl class="method">
<dt id="pylib.geometry.Solid.ch_cs">
<code class="sig-name descname">ch_cs</code><span class="sig-paren">(</span><em class="sig-param">cs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Solid.ch_cs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Solid.ch_cs" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Solid.scale">
<code class="sig-name descname">scale</code><span class="sig-paren">(</span><em class="sig-param">sx</em>, <em class="sig-param">sy=None</em>, <em class="sig-param">sz=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Solid.scale"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Solid.scale" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Solid.translate">
<code class="sig-name descname">translate</code><span class="sig-paren">(</span><em class="sig-param">tx</em>, <em class="sig-param">ty</em>, <em class="sig-param">tz</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Solid.translate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Solid.translate" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.Solid.wireframes">
<code class="sig-name descname">wireframes</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#Solid.wireframes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.Solid.wireframes" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="class">
<dt id="pylib.geometry.World">
<em class="property">class </em><code class="sig-name descname">World</code><a class="reference internal" href="_modules/pylib/geometry.html#World"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World" title="Permalink to this definition"></a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<p>World-space with world-space coordinates</p>
<dl class="method">
<dt id="pylib.geometry.World.__iter__">
<code class="sig-name descname">__iter__</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.__iter__"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.__iter__" title="Permalink to this definition"></a></dt>
<dd><p>Returns the Iterator object</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.__str__">
<code class="sig-name descname">__str__</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.__str__"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.__str__" title="Permalink to this definition"></a></dt>
<dd><p>Return str(self).</p>
</dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.add">
<code class="sig-name descname">add</code><span class="sig-paren">(</span><em class="sig-param">*objects</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.add"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.add" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.bounding_box">
<code class="sig-name descname">bounding_box</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.bounding_box"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.bounding_box" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.center">
<code class="sig-name descname">center</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.center"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.center" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.ch_cs">
<code class="sig-name descname">ch_cs</code><span class="sig-paren">(</span><em class="sig-param">cs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.ch_cs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.ch_cs" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.cs">
<code class="sig-name descname">cs</code><span class="sig-paren">(</span><em class="sig-param">cs=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.cs"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.cs" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.objects">
<code class="sig-name descname">objects</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.objects"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.objects" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.rotate_x">
<code class="sig-name descname">rotate_x</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.rotate_x"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.rotate_x" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.rotate_y">
<code class="sig-name descname">rotate_y</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.rotate_y"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.rotate_y" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.rotate_z">
<code class="sig-name descname">rotate_z</code><span class="sig-paren">(</span><em class="sig-param">theta</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.rotate_z"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.rotate_z" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.scale">
<code class="sig-name descname">scale</code><span class="sig-paren">(</span><em class="sig-param">sx</em>, <em class="sig-param">sy=None</em>, <em class="sig-param">sz=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.scale"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.scale" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.space_diagonal">
<code class="sig-name descname">space_diagonal</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.space_diagonal"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.space_diagonal" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.translate">
<code class="sig-name descname">translate</code><span class="sig-paren">(</span><em class="sig-param">tx</em>, <em class="sig-param">ty</em>, <em class="sig-param">tz</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.translate"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.translate" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.wireframes">
<code class="sig-name descname">wireframes</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.wireframes"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.wireframes" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.wireframes_xy">
<code class="sig-name descname">wireframes_xy</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.wireframes_xy"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.wireframes_xy" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
<dl class="method">
<dt id="pylib.geometry.World.wireframes_xyz">
<code class="sig-name descname">wireframes_xyz</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#World.wireframes_xyz"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.World.wireframes_xyz" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
</dd></dl>
<dl class="function">
<dt id="pylib.geometry.sample_half_open">
<code class="sig-name descname">sample_half_open</code><span class="sig-paren">(</span><em class="sig-param">f</em>, <em class="sig-param">a</em>, <em class="sig-param">b</em>, <em class="sig-param">n=50</em>, <em class="sig-param">endpoint_epsilon=1e-07</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/geometry.html#sample_half_open"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.geometry.sample_half_open" title="Permalink to this definition"></a></dt>
<dd></dd></dl>
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