add geometry functions to translate and rotate lists and define lines and cubic lines
add data function to fold a list and geometry_plot functions to plot lines and tests for the geometry functions
This commit is contained in:
23
docs/build/html/_modules/data.html
vendored
23
docs/build/html/_modules/data.html
vendored
@@ -138,9 +138,26 @@
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<span class="c1"># every dump needs a load</span>
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<span class="n">pickle</span><span class="o">.</span><span class="n">dump</span><span class="p">(</span><span class="n">object_data</span><span class="p">,</span> <span class="n">output</span><span class="p">,</span> <span class="n">pickle</span><span class="o">.</span><span class="n">HIGHEST_PROTOCOL</span><span class="p">)</span></div>
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<div class="viewcode-block" id="fold_list"><a class="viewcode-back" href="../data.html#data.fold_list">[docs]</a><span class="k">def</span> <span class="nf">fold_list</span><span class="p">(</span><span class="n">lst</span><span class="p">,</span> <span class="n">n</span><span class="p">):</span>
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<span class="sd">"""Convert one-dimensional kx1 array (list) to two-dimensional mxn</span>
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<span class="sd"> array. m = k / n</span>
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<span class="sd"> :param lst: list to convert</span>
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<span class="sd"> :type lst: list</span>
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<span class="sd"> :param n: length of the second dimenson</span>
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<span class="sd"> :type n: int</span>
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<span class="sd"> :returns: two-dimensional array (list of lists)</span>
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<span class="sd"> :rtype: list</span>
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<span class="sd"> """</span>
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<span class="n">k</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">lst</span><span class="p">)</span>
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<span class="k">if</span> <span class="n">k</span> <span class="o">%</span> <span class="n">n</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
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<span class="n">length</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">k</span><span class="o">/</span><span class="n">n</span><span class="p">)</span>
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<span class="k">return</span> <span class="p">[</span><span class="n">lst</span><span class="p">[</span><span class="n">i</span><span class="o">*</span><span class="n">n</span><span class="p">:</span><span class="n">i</span><span class="o">*</span><span class="n">n</span><span class="o">+</span><span class="n">n</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">length</span><span class="p">)]</span></div>
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<div class="viewcode-block" id="unique_ending"><a class="viewcode-back" href="../data.html#data.unique_ending">[docs]</a><span class="k">def</span> <span class="nf">unique_ending</span><span class="p">(</span><span class="n">ids</span><span class="p">,</span> <span class="n">n</span><span class="o">=</span><span class="mi">1</span><span class="p">):</span>
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<span class="sd">"""From id list get list with unique ending.</span>
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<span class="sd"> </span>
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<span class="sd"> :param ids: ids</span>
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<span class="sd"> :type ids: list</span>
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<span class="sd"> :param n: minumum chars or ints</span>
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@@ -158,7 +175,7 @@
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<div class="viewcode-block" id="get_id"><a class="viewcode-back" href="../data.html#data.get_id">[docs]</a><span class="k">def</span> <span class="nf">get_id</span><span class="p">(</span><span class="n">ids</span><span class="p">,</span> <span class="n">uide</span><span class="p">):</span>
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<span class="sd">"""Get full id from unique id ending.</span>
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<span class="sd"> </span>
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<span class="sd"> :param ids: ids</span>
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<span class="sd"> :type ids: list</span>
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<span class="sd"> :param uide: unique id ending</span>
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@@ -223,7 +240,7 @@
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©2019, Daniel Weschke.
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Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
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Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
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& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
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</div>
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2
docs/build/html/_modules/date.html
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2
docs/build/html/_modules/date.html
vendored
@@ -210,7 +210,7 @@
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©2019, Daniel Weschke.
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|
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Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
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Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
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& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
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</div>
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334
docs/build/html/_modules/geometry.html
vendored
334
docs/build/html/_modules/geometry.html
vendored
@@ -37,12 +37,12 @@
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<span class="c1"># -*- coding: utf-8 -*-</span>
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<span class="sd">"""2D geometry objects.</span>
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<span class="sd">:Date: 2019-03-21</span>
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<span class="sd">:Date: 2019-08-20</span>
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<span class="sd">.. module:: geometry</span>
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<span class="sd"> :platform: *nix, Windows</span>
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<span class="sd"> :synopsis: Geometry objects.</span>
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<span class="sd"> </span>
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<span class="sd">.. moduleauthor:: Daniel Weschke <daniel.weschke@directbox.de></span>
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<span class="sd">"""</span>
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<span class="kn">import</span> <span class="nn">math</span>
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@@ -58,14 +58,51 @@
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<span class="sd"> :returns: (point_x, point_y) or (point1, point2, ...)</span>
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<span class="sd"> :rtype: tuple</span>
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<span class="sd"> .. seealso::</span>
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<span class="sd"> :meth:`translate_xy`</span>
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<span class="sd"> """</span>
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<span class="n">vx</span><span class="p">,</span> <span class="n">vy</span> <span class="o">=</span> <span class="n">vec</span>
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<span class="k">return</span> <span class="nb">tuple</span><span class="p">([(</span><span class="n">x</span><span class="o">+</span><span class="n">vx</span><span class="p">,</span> <span class="n">y</span><span class="o">+</span><span class="n">vy</span><span class="p">)</span> <span class="k">for</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> <span class="ow">in</span> <span class="n">pts</span><span class="p">])</span></div>
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<div class="viewcode-block" id="translate_xy"><a class="viewcode-back" href="../geometry.html#geometry.translate_xy">[docs]</a><span class="k">def</span> <span class="nf">translate_xy</span><span class="p">(</span><span class="n">vec</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
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<span class="sd">"""Translate a point or polygon by a given vector.</span>
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<span class="sd"> :param vec: translation vector</span>
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<span class="sd"> :type vec: tuple</span>
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<span class="sd"> :param x: points to translate</span>
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<span class="sd"> :type x: int or float or list</span>
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<span class="sd"> :param y: points to translate</span>
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<span class="sd"> :type y: int or float or list</span>
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<span class="sd"> :returns: (x', y')</span>
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<span class="sd"> :rtype: tuple</span>
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<span class="sd"> .. seealso::</span>
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<span class="sd"> :meth:`translate`</span>
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<span class="sd"> """</span>
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<span class="n">vx</span><span class="p">,</span> <span class="n">vy</span> <span class="o">=</span> <span class="n">vec</span>
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<span class="k">if</span> <span class="ow">not</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="s2">"__len__"</span><span class="p">):</span>
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<span class="n">x</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span><span class="p">]</span>
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<span class="k">if</span> <span class="ow">not</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="s2">"__len__"</span><span class="p">):</span>
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<span class="n">y</span> <span class="o">=</span> <span class="p">[</span><span class="n">y</span><span class="p">]</span>
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<span class="n">xp</span> <span class="o">=</span> <span class="p">[</span><span class="n">xi</span><span class="o">+</span><span class="n">vx</span> <span class="k">for</span> <span class="n">xi</span> <span class="ow">in</span> <span class="n">x</span><span class="p">]</span>
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<span class="n">yp</span> <span class="o">=</span> <span class="p">[</span><span class="n">yi</span><span class="o">+</span><span class="n">vy</span> <span class="k">for</span> <span class="n">yi</span> <span class="ow">in</span> <span class="n">y</span><span class="p">]</span>
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<span class="c1"># no list if it is only one value</span>
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<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">xp</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
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<span class="k">return</span> <span class="n">xp</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">yp</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
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<span class="k">return</span> <span class="n">xp</span><span class="p">,</span> <span class="n">yp</span></div>
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<div class="viewcode-block" id="rotate"><a class="viewcode-back" href="../geometry.html#geometry.rotate">[docs]</a><span class="k">def</span> <span class="nf">rotate</span><span class="p">(</span><span class="n">origin</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">pts</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
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<span class="sd">"""Rotate a point or polygon counterclockwise by a given angle around a given</span>
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<span class="sd"> origin. The angle should be given in radians.</span>
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<span class="sd">"""Rotate a point or polygon counterclockwise by a given angle</span>
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<span class="sd"> around a given origin. The angle should be given in radians.</span>
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<span class="sd"> :param origin: the center of rotation</span>
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<span class="sd"> :type origin: tuple</span>
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@@ -76,17 +113,21 @@
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<span class="sd"> :returns: (point_x, point_y) or (point1, point2, ...)</span>
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<span class="sd"> :rtype: tuple</span>
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<span class="sd"> .. seealso::</span>
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<span class="sd"> :meth:`rotate_xy`</span>
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<span class="sd"> """</span>
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<span class="n">ox</span><span class="p">,</span> <span class="n">oy</span> <span class="o">=</span> <span class="n">origin</span>
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<span class="c1"># add first point to the end</span>
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<span class="k">if</span> <span class="n">kwargs</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span> <span class="ow">and</span> <span class="s2">"closed"</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">and</span> <span class="n">kwargs</span><span class="p">[</span><span class="s2">"closed"</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">True</span><span class="p">:</span>
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<span class="k">if</span> <span class="s2">"closed"</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">and</span> <span class="n">kwargs</span><span class="p">[</span><span class="s2">"closed"</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">True</span><span class="p">:</span>
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<span class="n">pts</span> <span class="o">+=</span> <span class="p">(</span><span class="n">pts</span><span class="p">[</span><span class="mi">0</span><span class="p">],)</span>
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<span class="n">result</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">([(</span><span class="n">ox</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">px</span> <span class="o">-</span> <span class="n">ox</span><span class="p">)</span> <span class="o">-</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">py</span> <span class="o">-</span> <span class="n">oy</span><span class="p">),</span>
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<span class="n">oy</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">px</span> <span class="o">-</span> <span class="n">ox</span><span class="p">)</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">py</span> <span class="o">-</span> <span class="n">oy</span><span class="p">))</span>
|
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<span class="k">for</span> <span class="p">(</span><span class="n">px</span><span class="p">,</span> <span class="n">py</span><span class="p">)</span> <span class="ow">in</span> <span class="n">pts</span><span class="p">])</span>
|
||||
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<span class="c1"># no tuple in tuple if it is only one point</span>
|
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<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">pts</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
|
||||
<span class="k">return</span> <span class="n">result</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span> <span class="n">result</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">1</span><span class="p">]</span>
|
||||
|
||||
@@ -94,8 +135,8 @@
|
||||
|
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|
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<div class="viewcode-block" id="rotate_deg"><a class="viewcode-back" href="../geometry.html#geometry.rotate_deg">[docs]</a><span class="k">def</span> <span class="nf">rotate_deg</span><span class="p">(</span><span class="n">origin</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="o">*</span><span class="n">pts</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="sd">"""Rotate a point or polygon counterclockwise by a given angle around a given</span>
|
||||
<span class="sd"> origin. The angle should be given in degrees.</span>
|
||||
<span class="sd">"""Rotate a point or polygon counterclockwise by a given angle</span>
|
||||
<span class="sd"> around a given origin. The angle should be given in degrees.</span>
|
||||
|
||||
<span class="sd"> :param origin: the center of rotation</span>
|
||||
<span class="sd"> :type origin: tuple</span>
|
||||
@@ -113,13 +154,56 @@
|
||||
<span class="k">return</span> <span class="n">rotate</span><span class="p">(</span><span class="n">origin</span><span class="p">,</span> <span class="n">angle</span><span class="o">*</span><span class="n">math</span><span class="o">.</span><span class="n">pi</span><span class="o">/</span><span class="mi">180</span><span class="p">,</span> <span class="o">*</span><span class="n">pts</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="rotate_xy"><a class="viewcode-back" href="../geometry.html#geometry.rotate_xy">[docs]</a><span class="k">def</span> <span class="nf">rotate_xy</span><span class="p">(</span><span class="n">origin</span><span class="p">,</span> <span class="n">angle</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="sd">"""Rotate x and y coordinates counterclockwise by a given angle</span>
|
||||
<span class="sd"> around a given origin. The angle should be given in radians.</span>
|
||||
|
||||
<span class="sd"> :param origin: the center of rotation</span>
|
||||
<span class="sd"> :type origin: tuple</span>
|
||||
<span class="sd"> :param angle: the rotation angle</span>
|
||||
<span class="sd"> :type angle: int or float</span>
|
||||
<span class="sd"> :param x: x coordinates</span>
|
||||
<span class="sd"> :type x: int or float or list</span>
|
||||
<span class="sd"> :param y: y coordinates</span>
|
||||
<span class="sd"> :type y: int or float or list</span>
|
||||
<span class="sd"> :param `**kwargs`: options</span>
|
||||
|
||||
<span class="sd"> .. seealso::</span>
|
||||
<span class="sd"> :meth:`rotate`</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="n">ox</span><span class="p">,</span> <span class="n">oy</span> <span class="o">=</span> <span class="n">origin</span>
|
||||
|
||||
<span class="k">if</span> <span class="ow">not</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="s2">"__len__"</span><span class="p">):</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span><span class="p">]</span>
|
||||
|
||||
<span class="k">if</span> <span class="ow">not</span> <span class="nb">hasattr</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="s2">"__len__"</span><span class="p">):</span>
|
||||
<span class="n">y</span> <span class="o">=</span> <span class="p">[</span><span class="n">y</span><span class="p">]</span>
|
||||
|
||||
<span class="c1"># add first point to the end</span>
|
||||
<span class="k">if</span> <span class="s2">"closed"</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">and</span> <span class="n">kwargs</span><span class="p">[</span><span class="s2">"closed"</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">True</span><span class="p">:</span>
|
||||
<span class="n">x</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||||
<span class="n">y</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">y</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||||
|
||||
<span class="n">x_result</span> <span class="o">=</span> <span class="p">[</span><span class="n">ox</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">xi</span> <span class="o">-</span> <span class="n">ox</span><span class="p">)</span> <span class="o">-</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">yi</span> <span class="o">-</span> <span class="n">oy</span><span class="p">)</span>
|
||||
<span class="k">for</span> <span class="n">xi</span><span class="p">,</span> <span class="n">yi</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)]</span>
|
||||
|
||||
<span class="n">y_result</span> <span class="o">=</span> <span class="p">[</span><span class="n">oy</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">xi</span> <span class="o">-</span> <span class="n">ox</span><span class="p">)</span> <span class="o">+</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">yi</span> <span class="o">-</span> <span class="n">oy</span><span class="p">)</span>
|
||||
<span class="k">for</span> <span class="n">xi</span><span class="p">,</span> <span class="n">yi</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)]</span>
|
||||
|
||||
<span class="c1"># no list if it is only one value</span>
|
||||
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">x_result</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
|
||||
<span class="k">return</span> <span class="n">x_result</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">y_result</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
|
||||
|
||||
<span class="k">return</span> <span class="n">x_result</span><span class="p">,</span> <span class="n">y_result</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="rectangle"><a class="viewcode-back" href="../geometry.html#geometry.rectangle">[docs]</a><span class="k">def</span> <span class="nf">rectangle</span><span class="p">(</span><span class="n">width</span><span class="p">,</span> <span class="n">height</span><span class="p">):</span>
|
||||
<span class="sd">"""\</span>
|
||||
<span class="sd"> :param width: the width of the rectangle</span>
|
||||
<span class="sd"> :type width: int or float</span>
|
||||
<span class="sd"> :param height: the height of the rectangle</span>
|
||||
<span class="sd"> :type height: int or float</span>
|
||||
<span class="sd"> </span>
|
||||
|
||||
<span class="sd"> :returns: (point1, point2, point3, point4)</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
<span class="sd"> """</span>
|
||||
@@ -134,7 +218,7 @@
|
||||
<span class="sd">"""\</span>
|
||||
<span class="sd"> :param width: the edge size of the square</span>
|
||||
<span class="sd"> :type width: int or float</span>
|
||||
<span class="sd"> </span>
|
||||
|
||||
<span class="sd"> :returns: (point1, point2, point3, point4)</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
|
||||
@@ -144,36 +228,222 @@
|
||||
<span class="k">return</span> <span class="n">rectangle</span><span class="p">(</span><span class="n">width</span><span class="p">,</span> <span class="n">width</span><span class="p">)</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="lines"><a class="viewcode-back" href="../geometry.html#geometry.lines">[docs]</a><span class="k">def</span> <span class="nf">lines</span><span class="p">(</span><span class="n">pts</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="sd">"""Lines defined by a list of end points.</span>
|
||||
|
||||
<span class="sd"> :param pts: list of points in absolute global coordinate system. If</span>
|
||||
<span class="sd"> keyword inc is given than the inc decides what the left and the</span>
|
||||
<span class="sd"> right end point of the line is, otherwise it is assumed that the</span>
|
||||
<span class="sd"> points build a solid line, that is lines between the given points</span>
|
||||
<span class="sd"> in given order.</span>
|
||||
<span class="sd"> :type pts: list</span>
|
||||
|
||||
<span class="sd"> :param `**kwargs`: options:</span>
|
||||
|
||||
<span class="sd"> * deformation -- list of points. Additional deformation</span>
|
||||
<span class="sd"> (translation) at point.</span>
|
||||
<span class="sd"> * factor -- factor of the deformation (default = 1).</span>
|
||||
<span class="sd"> * inc -- the incidence table, a list of 2 element lists. The inc</span>
|
||||
<span class="sd"> decides what the left and the right end point of the line is.</span>
|
||||
<span class="sd"> * index_offset -- starting index of lists (default = 0).</span>
|
||||
|
||||
<span class="sd"> :returns: list of endpoints for each line;</span>
|
||||
<span class="sd"> [((point1_x, point1_y), (point2_x, point2_y)),</span>
|
||||
<span class="sd"> (p1, p2),</span>
|
||||
<span class="sd"> ...]</span>
|
||||
<span class="sd"> :rtype: list</span>
|
||||
|
||||
<span class="sd"> .. seealso::</span>
|
||||
<span class="sd"> :meth:`~geometry_plot.plot_lines` of the :mod:`geometry_plot`</span>
|
||||
<span class="sd"> module to plot the lines</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="s1">'index_offset'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
|
||||
<span class="k">if</span> <span class="s1">'deformation'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="k">if</span> <span class="s1">'factor'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
|
||||
<span class="n">pts</span> <span class="o">=</span> <span class="p">[(</span><span class="n">p</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="n">d</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span> <span class="n">p</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="n">d</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">])</span> <span class="k">for</span>
|
||||
<span class="n">p</span><span class="p">,</span> <span class="n">d</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">pts</span><span class="p">,</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'deformation'</span><span class="p">])]</span>
|
||||
<span class="k">if</span> <span class="s1">'inc'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="k">return</span> <span class="p">[(</span><span class="n">pts</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]],</span>
|
||||
<span class="n">pts</span><span class="p">[</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]])</span> <span class="k">for</span> <span class="n">l</span><span class="p">,</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'inc'</span><span class="p">]]</span>
|
||||
<span class="k">return</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">pts</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">pts</span><span class="p">[</span><span class="mi">1</span><span class="p">:]))</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="cubics"><a class="viewcode-back" href="../geometry.html#geometry.cubics">[docs]</a><span class="k">def</span> <span class="nf">cubics</span><span class="p">(</span><span class="n">pts</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="sd">"""Cubic lines defined by a list of two end points. The deformation</span>
|
||||
<span class="sd"> as displacement and rotation (radians) is defined element wise as</span>
|
||||
<span class="sd"> keyword argument deformation or global node wise as</span>
|
||||
<span class="sd"> global_deformation. The global coordinate system is xy. x in the</span>
|
||||
<span class="sd"> right direction and y in the top direction.</span>
|
||||
|
||||
<span class="sd"> :param pts: list of points in absolute global coordinate system. If</span>
|
||||
<span class="sd"> keyword inc is given than the inc decides what the left and the</span>
|
||||
<span class="sd"> right end point of the line is, otherwise it is assumed that the</span>
|
||||
<span class="sd"> points build a solid line, that is lines between the given points</span>
|
||||
<span class="sd"> in given order.</span>
|
||||
<span class="sd"> :type pts_rot: list</span>
|
||||
|
||||
<span class="sd"> :param `**kwargs`: options:</span>
|
||||
|
||||
<span class="sd"> * deformation -- list of deformation element wise. Additional</span>
|
||||
<span class="sd"> deformation (translation and rotation in radians) at element</span>
|
||||
<span class="sd"> left and right node.</span>
|
||||
<span class="sd"> * rotation_plane -- rotation plane of the element wise</span>
|
||||
<span class="sd"> deformation defined by a string; either 'xy' or 'xz' (default</span>
|
||||
<span class="sd"> = 'xy'). x in the right direction and y in the top direction</span>
|
||||
<span class="sd"> or z in the bottom direction.</span>
|
||||
<span class="sd"> * global_deformation -- list of deformation global node wise.</span>
|
||||
<span class="sd"> Additional deformation (horizontal translation, vertical</span>
|
||||
<span class="sd"> translation and rotation in radians) at node.</span>
|
||||
<span class="sd"> * factor -- factor of the derformation (default = 1).</span>
|
||||
<span class="sd"> * inc -- the incidence table, a list of 2 element lists. The inc</span>
|
||||
<span class="sd"> decides what the left and the right end point of the line is.</span>
|
||||
<span class="sd"> * index_offset -- starting index of lists (default = 0).</span>
|
||||
|
||||
<span class="sd"> :returns: list of endpoints for each line;</span>
|
||||
<span class="sd"> [(((point1_x, point1_y) angle1), ((point2_x, point2_y), angle2),</span>
|
||||
<span class="sd"> (p1, angle1, p2, angle2),</span>
|
||||
<span class="sd"> ...]</span>
|
||||
<span class="sd"> :rtype: list</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="s1">'index_offset'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
|
||||
<span class="k">if</span> <span class="s1">'deformation'</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">or</span> <span class="s1">'global_deformation'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="k">if</span> <span class="s1">'factor'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
|
||||
<span class="k">if</span> <span class="s1">'inc'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="k">if</span> <span class="s1">'global_deformation'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">lr</span> <span class="o">=</span> <span class="p">[(</span><span class="n">pts</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]],</span>
|
||||
<span class="n">pts</span><span class="p">[</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]])</span> <span class="k">for</span> <span class="n">l</span><span class="p">,</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'inc'</span><span class="p">]]</span>
|
||||
<span class="n">ang</span> <span class="o">=</span> <span class="p">[</span><span class="n">math</span><span class="o">.</span><span class="n">atan2</span><span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="k">for</span> <span class="n">l</span><span class="p">,</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">lr</span><span class="p">]</span>
|
||||
<span class="c1"># system deformation</span>
|
||||
<span class="n">U</span> <span class="o">=</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'global_deformation'</span><span class="p">]</span>
|
||||
<span class="k">if</span> <span class="s1">'rotation_plane'</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">and</span> <span class="s1">'xz'</span> <span class="o">==</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'rotation_plane'</span><span class="p">]:</span>
|
||||
<span class="c1"># system deformation left X Z RY right X Z RY element wise</span>
|
||||
<span class="c1"># Z downwards -> convert to X Y RZ</span>
|
||||
<span class="n">Ue</span> <span class="o">=</span> <span class="p">[[</span> <span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">0</span><span class="p">],</span>
|
||||
<span class="o">-</span><span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">1</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">2</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">0</span><span class="p">],</span>
|
||||
<span class="o">-</span><span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">1</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">2</span><span class="p">]]</span> <span class="k">for</span> <span class="n">l</span><span class="p">,</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'inc'</span><span class="p">]]</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="c1"># system deformation left X Y RZ right X Y RZ element wise</span>
|
||||
<span class="n">Ue</span> <span class="o">=</span> <span class="p">[[</span><span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">0</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">1</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">2</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">0</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">1</span><span class="p">],</span>
|
||||
<span class="n">U</span><span class="p">[(</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">])][</span><span class="mi">2</span><span class="p">]]</span> <span class="k">for</span> <span class="n">l</span><span class="p">,</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'inc'</span><span class="p">]]</span>
|
||||
<span class="c1"># element deformation, X Y RZ to x r rz</span>
|
||||
<span class="c1"># back transformation T^T = [[c, s, 0], [-s, c, 0], [0, 0, 1]]</span>
|
||||
<span class="n">u</span> <span class="o">=</span> <span class="p">[[(</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="p">(</span><span class="o">-</span><span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">+</span><span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="n">Uei</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="p">(</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">+</span><span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">4</span><span class="p">])</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="p">(</span><span class="o">-</span><span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">+</span><span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">angi</span><span class="p">)</span><span class="o">*</span><span class="n">Uei</span><span class="p">[</span><span class="mi">4</span><span class="p">])</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="n">Uei</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span> <span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]]</span>
|
||||
<span class="k">for</span> <span class="n">Uei</span><span class="p">,</span> <span class="n">angi</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">Ue</span><span class="p">,</span> <span class="n">ang</span><span class="p">)]</span>
|
||||
<span class="k">else</span><span class="p">:</span> <span class="c1"># deformation</span>
|
||||
<span class="c1"># the deformation is in element coordinate system, therefore the angle is needed</span>
|
||||
<span class="k">if</span> <span class="s1">'rotation_plane'</span> <span class="ow">in</span> <span class="n">kwargs</span> <span class="ow">and</span> <span class="s1">'xz'</span> <span class="o">==</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'rotation_plane'</span><span class="p">]:</span>
|
||||
<span class="n">u</span> <span class="o">=</span> <span class="p">[[</span> <span class="n">ue</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="o">-</span><span class="n">ue</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="n">ue</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="n">ue</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="o">-</span><span class="n">ue</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">],</span>
|
||||
<span class="n">ue</span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]]</span> <span class="k">for</span> <span class="n">ue</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'deformation'</span><span class="p">]]</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">u</span> <span class="o">=</span> <span class="p">[[</span><span class="n">ui</span><span class="o">*</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]</span> <span class="k">for</span> <span class="n">ui</span> <span class="ow">in</span> <span class="n">ue</span><span class="p">]</span> <span class="k">for</span> <span class="n">ue</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'deformation'</span><span class="p">]]</span>
|
||||
<span class="k">return</span> <span class="p">[(</span><span class="n">pts</span><span class="p">[</span><span class="n">l</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]],</span>
|
||||
<span class="n">pts</span><span class="p">[</span><span class="n">r</span><span class="o">-</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'index_offset'</span><span class="p">]],</span>
|
||||
<span class="n">d</span><span class="p">)</span> <span class="k">for</span> <span class="p">(</span><span class="n">l</span><span class="p">,</span> <span class="n">r</span><span class="p">),</span> <span class="n">d</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">kwargs</span><span class="p">[</span><span class="s1">'inc'</span><span class="p">],</span> <span class="n">u</span><span class="p">)]</span>
|
||||
<span class="k">return</span> <span class="nb">list</span><span class="p">(</span><span class="nb">zip</span><span class="p">(</span><span class="n">pts</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">pts</span><span class="p">[</span><span class="mi">1</span><span class="p">:]))</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="interpolate_hermite"><a class="viewcode-back" href="../geometry.html#geometry.interpolate_hermite">[docs]</a><span class="k">def</span> <span class="nf">interpolate_hermite</span><span class="p">(</span><span class="n">lvd</span><span class="p">,</span> <span class="n">lr</span><span class="p">,</span> <span class="n">rvd</span><span class="p">,</span> <span class="n">rr</span><span class="p">,</span> <span class="n">lhd</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">rhd</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">scale_x</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">scale_y</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">samples</span><span class="o">=</span><span class="mi">10</span><span class="p">):</span>
|
||||
<span class="sa">r</span><span class="sd">"""Interpolate cubic line with hermite boundary conditions.</span>
|
||||
|
||||
<span class="sd"> :param lvd: left vertcal deflection</span>
|
||||
<span class="sd"> :type lvd: int or float</span>
|
||||
<span class="sd"> :param lr: left rotation</span>
|
||||
<span class="sd"> :type lr: int or float</span>
|
||||
<span class="sd"> :param rvd: right vertical deflection</span>
|
||||
<span class="sd"> :type rvd: int or float</span>
|
||||
<span class="sd"> :param rr: right rotation</span>
|
||||
<span class="sd"> :type rr: int or float</span>
|
||||
<span class="sd"> :param lhd: left horizontal deformation (default = 0)</span>
|
||||
<span class="sd"> :type lhd: int or float</span>
|
||||
<span class="sd"> :param rhd: right horizontal deformation (default = 0)</span>
|
||||
<span class="sd"> :type rhd: int or float</span>
|
||||
<span class="sd"> :param scale_x: length of element (default = 1)</span>
|
||||
<span class="sd"> :type scale_x: int or float</span>
|
||||
<span class="sd"> :param scale_y: factor of the deformation (default = 1).</span>
|
||||
<span class="sd"> This does not change the length.</span>
|
||||
<span class="sd"> :type scale_y: int or float</span>
|
||||
<span class="sd"> :param samples: number of sampling points (default = 10)</span>
|
||||
<span class="sd"> :type samples: int</span>
|
||||
|
||||
<span class="sd"> .. math::</span>
|
||||
<span class="sd"> s = \frac{x - x_1}{L} \\</span>
|
||||
<span class="sd"> x = s\,L + x_1</span>
|
||||
|
||||
<span class="sd"> """</span>
|
||||
<span class="n">L</span> <span class="o">=</span> <span class="n">scale_x</span>
|
||||
<span class="n">Lp</span> <span class="o">=</span> <span class="n">L</span> <span class="o">+</span> <span class="n">rhd</span> <span class="o">-</span> <span class="n">lhd</span>
|
||||
|
||||
<span class="c1"># x=[0,1] in non-dimensional coordinates</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">num</span><span class="o">=</span><span class="n">samples</span><span class="p">)</span>
|
||||
<span class="n">N1</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="mi">3</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">3</span>
|
||||
<span class="n">N2</span> <span class="o">=</span> <span class="p">(</span> <span class="n">x</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="p">)</span><span class="o">*</span><span class="n">Lp</span>
|
||||
<span class="n">N3</span> <span class="o">=</span> <span class="mi">3</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">3</span>
|
||||
<span class="n">N4</span> <span class="o">=</span> <span class="p">(</span> <span class="o">-</span> <span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="p">)</span><span class="o">*</span><span class="n">Lp</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">x</span><span class="o">*</span><span class="n">Lp</span>
|
||||
|
||||
|
||||
<span class="c1"># x=[0,L] in global coordinates</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">Lp</span><span class="p">,</span> <span class="n">num</span><span class="o">=</span><span class="n">samples</span><span class="p">)</span>
|
||||
<span class="n">N1</span> <span class="o">=</span> <span class="mi">1</span> <span class="o">-</span> <span class="mi">3</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">3</span>
|
||||
<span class="n">N2</span> <span class="o">=</span> <span class="n">x</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="n">Lp</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">2</span>
|
||||
<span class="n">N3</span> <span class="o">=</span> <span class="mi">3</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">2</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">3</span>
|
||||
<span class="n">N4</span> <span class="o">=</span> <span class="o">-</span> <span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">/</span><span class="n">Lp</span> <span class="o">+</span> <span class="n">x</span><span class="o">**</span><span class="mi">3</span><span class="o">/</span><span class="n">Lp</span><span class="o">**</span><span class="mi">2</span>
|
||||
|
||||
|
||||
<span class="n">v</span> <span class="o">=</span> <span class="n">N1</span><span class="o">*</span><span class="n">lvd</span> <span class="o">+</span> <span class="n">N2</span><span class="o">*</span><span class="n">lr</span> <span class="o">+</span> <span class="n">N3</span><span class="o">*</span><span class="n">rvd</span> <span class="o">+</span> <span class="n">N4</span><span class="o">*</span><span class="n">rr</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">x</span> <span class="o">+</span> <span class="n">lhd</span>
|
||||
<span class="n">y</span> <span class="o">=</span> <span class="n">v</span><span class="o">*</span><span class="n">scale_y</span>
|
||||
|
||||
<span class="k">return</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span></div>
|
||||
|
||||
|
||||
<span class="c1">#</span>
|
||||
<span class="c1"># matplotlib format, return lists for x and y</span>
|
||||
<span class="c1">#</span>
|
||||
|
||||
<div class="viewcode-block" id="points"><a class="viewcode-back" href="../geometry.html#geometry.points">[docs]</a><span class="k">def</span> <span class="nf">points</span><span class="p">(</span><span class="o">*</span><span class="n">pts</span><span class="p">):</span>
|
||||
<span class="sd">"""\</span>
|
||||
<span class="sd"> :param `*pts`: points to rearrange</span>
|
||||
<span class="sd"> </span>
|
||||
<span class="sd"> :returns: ((point1_x, point2_x), (point1_y, point2_y), ...)</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">return</span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="n">pts</span><span class="p">)</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="line"><a class="viewcode-back" href="../geometry.html#geometry.line">[docs]</a><span class="k">def</span> <span class="nf">line</span><span class="p">(</span><span class="n">point1</span><span class="p">,</span> <span class="n">point2</span><span class="p">,</span> <span class="n">samples</span><span class="o">=</span><span class="mi">2</span><span class="p">):</span>
|
||||
<span class="sd">"""\</span>
|
||||
<span class="sd">"""Line defined by two end points.</span>
|
||||
|
||||
<span class="sd"> .. math::</span>
|
||||
<span class="sd"> y = \\frac{y_2-y_1}{x_2-x_1}(x-x_1) + y_1</span>
|
||||
<span class="sd"> </span>
|
||||
|
||||
<span class="sd"> :param point1: one end point</span>
|
||||
<span class="sd"> :type point1: tuple</span>
|
||||
<span class="sd"> :param point2: other end point</span>
|
||||
<span class="sd"> :type point2: tuple</span>
|
||||
<span class="sd"> :param samples: number of sampling points</span>
|
||||
<span class="sd"> :param samples: number of sampling points (default = 2)</span>
|
||||
<span class="sd"> :type samples: int</span>
|
||||
|
||||
<span class="sd"> :returns: ((point1_x, point2_x), (points1_y, point2_y)) or</span>
|
||||
<span class="sd"> ([sample_point1_x, sample_point2_x, ...],</span>
|
||||
<span class="sd"> [sample_points1_y, sample_point2_y, ...])</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
|
||||
<span class="sd"> :Example:</span>
|
||||
|
||||
<span class="sd"> >>> x, y = line((0, 0), (1, 0))</span>
|
||||
<span class="sd"> >>> print(x, y)</span>
|
||||
<span class="sd"> ((0, 1), (0, 0))</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="n">p1x</span><span class="p">,</span> <span class="n">p1y</span> <span class="o">=</span> <span class="n">point1</span>
|
||||
<span class="n">p2x</span><span class="p">,</span> <span class="n">p2y</span> <span class="o">=</span> <span class="n">point2</span>
|
||||
@@ -181,7 +451,7 @@
|
||||
<span class="n">denominator</span> <span class="o">=</span> <span class="p">(</span><span class="n">p1x</span> <span class="o">-</span> <span class="n">p2x</span><span class="p">)</span>
|
||||
|
||||
<span class="k">if</span> <span class="n">samples</span> <span class="o">></span> <span class="mi">2</span> <span class="ow">and</span> <span class="n">denominator</span> <span class="o">></span> <span class="mi">0</span><span class="p">:</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">p1x</span><span class="p">,</span> <span class="n">p2x</span><span class="p">)</span>
|
||||
<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="n">p1x</span><span class="p">,</span> <span class="n">p2x</span><span class="p">,</span> <span class="n">samples</span><span class="p">)</span>
|
||||
<span class="n">a</span> <span class="o">=</span> <span class="p">(</span><span class="n">p1y</span> <span class="o">-</span> <span class="n">p2y</span><span class="p">)</span> <span class="o">/</span> <span class="n">denominator</span>
|
||||
<span class="n">b</span> <span class="o">=</span> <span class="p">(</span><span class="n">p1x</span><span class="o">*</span><span class="n">p2y</span> <span class="o">-</span> <span class="n">p2x</span><span class="o">*</span><span class="n">p1y</span><span class="p">)</span> <span class="o">/</span> <span class="n">denominator</span>
|
||||
<span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="n">x</span> <span class="o">+</span> <span class="n">b</span>
|
||||
@@ -189,8 +459,10 @@
|
||||
<span class="k">return</span> <span class="p">(</span><span class="n">p1x</span><span class="p">,</span> <span class="n">p2x</span><span class="p">),</span> <span class="p">(</span><span class="n">p1y</span><span class="p">,</span> <span class="n">p2y</span><span class="p">)</span> <span class="c1"># matplotlib format</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="cubic"><a class="viewcode-back" href="../geometry.html#geometry.cubic">[docs]</a><span class="k">def</span> <span class="nf">cubic</span><span class="p">(</span><span class="n">point1</span><span class="p">,</span> <span class="n">angle1</span><span class="p">,</span> <span class="n">point2</span><span class="p">,</span> <span class="n">angle2</span><span class="p">,</span> <span class="n">samples</span><span class="o">=</span><span class="mi">50</span><span class="p">):</span>
|
||||
<span class="sd">"""\</span>
|
||||
<div class="viewcode-block" id="cubic"><a class="viewcode-back" href="../geometry.html#geometry.cubic">[docs]</a><span class="k">def</span> <span class="nf">cubic</span><span class="p">(</span><span class="n">point1</span><span class="p">,</span> <span class="n">angle1</span><span class="p">,</span> <span class="n">point2</span><span class="p">,</span> <span class="n">angle2</span><span class="p">,</span> <span class="n">samples</span><span class="o">=</span><span class="mi">10</span><span class="p">):</span>
|
||||
<span class="sd">"""Cubic line defined by two end points and the rotation in radians</span>
|
||||
<span class="sd"> at the points.</span>
|
||||
|
||||
<span class="sd"> :param point1: one end point</span>
|
||||
<span class="sd"> :type point1: tuple</span>
|
||||
<span class="sd"> :param angle1: the slope at the one end point</span>
|
||||
@@ -199,9 +471,9 @@
|
||||
<span class="sd"> :type point2: tuple</span>
|
||||
<span class="sd"> :param angle2: the slope at the other end point</span>
|
||||
<span class="sd"> :type angle2: int or float</span>
|
||||
<span class="sd"> :param samples: number of sampling points</span>
|
||||
<span class="sd"> :param samples: number of sampling points (default = 10)</span>
|
||||
<span class="sd"> :type samples: int</span>
|
||||
<span class="sd"> </span>
|
||||
|
||||
<span class="sd"> :returns: ([sample_point1_x, sample_point2_x, ...],</span>
|
||||
<span class="sd"> [sample_points1_y, sample_point2_y, ...])</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
@@ -222,7 +494,9 @@
|
||||
|
||||
|
||||
<div class="viewcode-block" id="cubic_deg"><a class="viewcode-back" href="../geometry.html#geometry.cubic_deg">[docs]</a><span class="k">def</span> <span class="nf">cubic_deg</span><span class="p">(</span><span class="n">point1</span><span class="p">,</span> <span class="n">angle1</span><span class="p">,</span> <span class="n">point2</span><span class="p">,</span> <span class="n">angle2</span><span class="p">):</span>
|
||||
<span class="sd">"""\</span>
|
||||
<span class="sd">"""Cubic line defined by two end points and the roation in degree</span>
|
||||
<span class="sd"> at the points.</span>
|
||||
|
||||
<span class="sd"> :param point1: one end point</span>
|
||||
<span class="sd"> :type point1: tuple</span>
|
||||
<span class="sd"> :param angle1: the slope at the one end point</span>
|
||||
@@ -231,7 +505,7 @@
|
||||
<span class="sd"> :type point2: tuple</span>
|
||||
<span class="sd"> :param angle2: the slope at the other end point</span>
|
||||
<span class="sd"> :type angle2: int or float</span>
|
||||
<span class="sd"> </span>
|
||||
|
||||
<span class="sd"> :returns: ([sample_point1_x, sample_point2_x, ...],</span>
|
||||
<span class="sd"> [sample_points1_y, sample_point2_y, ...])</span>
|
||||
<span class="sd"> :rtype: tuple</span>
|
||||
@@ -294,7 +568,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
183
docs/build/html/_modules/geometry_plot.html
vendored
Normal file
183
docs/build/html/_modules/geometry_plot.html
vendored
Normal file
@@ -0,0 +1,183 @@
|
||||
|
||||
<!DOCTYPE html>
|
||||
|
||||
<html xmlns="http://www.w3.org/1999/xhtml">
|
||||
<head>
|
||||
<meta charset="utf-8" />
|
||||
<title>geometry_plot — pylib 2019.5.19 documentation</title>
|
||||
<link rel="stylesheet" href="../_static/alabaster.css" type="text/css" />
|
||||
<link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
|
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<link rel="stylesheet" href="../_static/custom.css" type="text/css" />
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<script type="text/javascript" id="documentation_options" data-url_root="../" src="../_static/documentation_options.js"></script>
|
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<script type="text/javascript" src="../_static/jquery.js"></script>
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<script type="text/javascript" src="../_static/underscore.js"></script>
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<script type="text/javascript" src="../_static/doctools.js"></script>
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<script async="async" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js?config=TeX-AMS-MML_HTMLorMML"></script>
|
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<link rel="index" title="Index" href="../genindex.html" />
|
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<link rel="search" title="Search" href="../search.html" />
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<link rel="stylesheet" href="../_static/custom.css" type="text/css" />
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<meta name="viewport" content="width=device-width, initial-scale=0.9, maximum-scale=0.9" />
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|
||||
</head><body>
|
||||
|
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|
||||
<div class="document">
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|
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|
||||
<div class="body" role="main">
|
||||
|
||||
<h1>Source code for geometry_plot</h1><div class="highlight"><pre>
|
||||
<span></span><span class="ch">#!/usr/bin/env python</span>
|
||||
<span class="c1"># -*- coding: utf-8 -*-</span>
|
||||
<span class="sd">"""2D geometry plotter using matplotlib (pylab).</span>
|
||||
|
||||
<span class="sd">:Date: 2019-08-20</span>
|
||||
|
||||
<span class="sd">.. module:: geometry_plot</span>
|
||||
<span class="sd"> :platform: *nix, Windows</span>
|
||||
<span class="sd"> :synopsis: Geometry plotting.</span>
|
||||
|
||||
<span class="sd">.. moduleauthor:: Daniel Weschke <daniel.weschke@directbox.de></span>
|
||||
<span class="sd">"""</span>
|
||||
<span class="kn">import</span> <span class="nn">math</span>
|
||||
<span class="kn">import</span> <span class="nn">pylab</span>
|
||||
<span class="kn">from</span> <span class="nn">geometry</span> <span class="k">import</span> <span class="n">line</span><span class="p">,</span> <span class="n">interpolate_hermite</span><span class="p">,</span> <span class="n">rotate_xy</span><span class="p">,</span> <span class="n">translate_xy</span>
|
||||
|
||||
<span class="n">pylab</span><span class="o">.</span><span class="n">style</span><span class="o">.</span><span class="n">use</span><span class="p">(</span><span class="s1">'dark_background'</span><span class="p">)</span>
|
||||
<span class="n">pylab</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">'grid.color'</span><span class="p">]</span> <span class="o">=</span> <span class="s1">'gray'</span>
|
||||
|
||||
<span class="c1"># The kwargs are Line2D properties:</span>
|
||||
<span class="c1"># https://matplotlib.org/3.1.1/_modules/matplotlib/lines.html#Line2D</span>
|
||||
<span class="c1"># https://matplotlib.org/devdocs/_modules/matplotlib/lines.html#Line2D</span>
|
||||
<span class="n">pylab_Line2D_properties</span> <span class="o">=</span> <span class="p">[</span>
|
||||
<span class="s1">'linewidth'</span><span class="p">,</span> <span class="s1">'linestyle'</span><span class="p">,</span> <span class="s1">'color'</span><span class="p">,</span>
|
||||
<span class="s1">'marker'</span><span class="p">,</span> <span class="s1">'markersize'</span><span class="p">,</span> <span class="s1">'markeredgewidth'</span><span class="p">,</span> <span class="s1">'markeredgecolor'</span><span class="p">,</span>
|
||||
<span class="s1">'markerfacecolor'</span><span class="p">,</span> <span class="s1">'markerfacecoloralt'</span><span class="p">,</span>
|
||||
<span class="s1">'fillstyle'</span><span class="p">,</span> <span class="s1">'antialiased'</span><span class="p">,</span>
|
||||
<span class="s1">'dash_capstyle'</span><span class="p">,</span> <span class="s1">'solid_capstyle'</span><span class="p">,</span>
|
||||
<span class="s1">'dash_joinstyle'</span><span class="p">,</span> <span class="s1">'solid_joinstyle'</span><span class="p">,</span>
|
||||
<span class="s1">'pickradius'</span><span class="p">,</span> <span class="s1">'drawstyle'</span><span class="p">,</span> <span class="s1">'markevery'</span><span class="p">,</span>
|
||||
<span class="p">]</span>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="plot_lines"><a class="viewcode-back" href="../geometry_plot.html#geometry_plot.plot_lines">[docs]</a><span class="k">def</span> <span class="nf">plot_lines</span><span class="p">(</span><span class="n">lns</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="s1">'color'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="c1"># Colors from "tab10" colormap</span>
|
||||
<span class="n">cmap</span> <span class="o">=</span> <span class="n">pylab</span><span class="o">.</span><span class="n">get_cmap</span><span class="p">(</span><span class="s2">"tab10"</span><span class="p">)</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="n">cmap</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
|
||||
|
||||
<span class="c1"># Colors from color cycle</span>
|
||||
<span class="n">cycle</span> <span class="o">=</span> <span class="n">pylab</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">'axes.prop_cycle'</span><span class="p">]</span><span class="o">.</span><span class="n">by_key</span><span class="p">()[</span><span class="s1">'color'</span><span class="p">]</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="n">cycle</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
|
||||
|
||||
<span class="c1"># Colors from CN notation (same as the first 10 colors from the color cycle)</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="s2">"C0"</span>
|
||||
|
||||
<span class="k">for</span> <span class="n">ln</span> <span class="ow">in</span> <span class="n">lns</span><span class="p">:</span>
|
||||
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">line</span><span class="p">(</span><span class="o">*</span><span class="n">ln</span><span class="p">)</span>
|
||||
<span class="n">pylab</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span></div>
|
||||
|
||||
|
||||
<div class="viewcode-block" id="plot_cubic_lines"><a class="viewcode-back" href="../geometry_plot.html#geometry_plot.plot_cubic_lines">[docs]</a><span class="k">def</span> <span class="nf">plot_cubic_lines</span><span class="p">(</span><span class="n">lns</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="s1">'color'</span> <span class="ow">not</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="c1"># Colors from "tab10" colormap</span>
|
||||
<span class="n">cmap</span> <span class="o">=</span> <span class="n">pylab</span><span class="o">.</span><span class="n">get_cmap</span><span class="p">(</span><span class="s2">"tab10"</span><span class="p">)</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="n">cmap</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
|
||||
|
||||
<span class="c1"># Colors from color cycle</span>
|
||||
<span class="n">cycle</span> <span class="o">=</span> <span class="n">pylab</span><span class="o">.</span><span class="n">rcParams</span><span class="p">[</span><span class="s1">'axes.prop_cycle'</span><span class="p">]</span><span class="o">.</span><span class="n">by_key</span><span class="p">()[</span><span class="s1">'color'</span><span class="p">]</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="n">cycle</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
|
||||
|
||||
<span class="c1"># Colors from CN notation (same as the first 10 colors from the color cycle)</span>
|
||||
<span class="n">kwargs</span><span class="p">[</span><span class="s1">'color'</span><span class="p">]</span> <span class="o">=</span> <span class="s2">"C0"</span>
|
||||
|
||||
<span class="n">factor</span> <span class="o">=</span> <span class="mi">1</span>
|
||||
<span class="k">if</span> <span class="s1">'factor'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">factor</span> <span class="o">=</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'factor'</span><span class="p">]</span>
|
||||
|
||||
<span class="n">samples</span> <span class="o">=</span> <span class="mi">10</span>
|
||||
<span class="k">if</span> <span class="s1">'samples'</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="p">:</span>
|
||||
<span class="n">samples</span> <span class="o">=</span> <span class="n">kwargs</span><span class="p">[</span><span class="s1">'samples'</span><span class="p">]</span>
|
||||
|
||||
<span class="n">kwargs</span> <span class="o">=</span> <span class="p">{</span><span class="n">k</span><span class="p">:</span> <span class="n">v</span> <span class="k">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">items</span><span class="p">()</span> <span class="k">if</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">pylab_Line2D_properties</span><span class="p">}</span>
|
||||
|
||||
<span class="k">for</span> <span class="n">ln</span> <span class="ow">in</span> <span class="n">lns</span><span class="p">:</span>
|
||||
<span class="n">l</span><span class="p">,</span> <span class="n">r</span><span class="p">,</span> <span class="n">d</span> <span class="o">=</span> <span class="n">ln</span>
|
||||
<span class="n">L</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
|
||||
<span class="n">ang</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">atan2</span><span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">-</span><span class="n">l</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||||
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">interpolate_hermite</span><span class="p">(</span><span class="n">d</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">d</span><span class="p">[</span><span class="mi">2</span><span class="p">],</span> <span class="n">d</span><span class="p">[</span><span class="mi">4</span><span class="p">],</span> <span class="n">d</span><span class="p">[</span><span class="mi">5</span><span class="p">],</span> <span class="n">d</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">d</span><span class="p">[</span><span class="mi">3</span><span class="p">],</span>
|
||||
<span class="n">scale_x</span><span class="o">=</span><span class="n">L</span><span class="p">,</span> <span class="n">scale_y</span><span class="o">=</span><span class="n">factor</span><span class="p">,</span> <span class="n">samples</span><span class="o">=</span><span class="n">samples</span><span class="p">)</span>
|
||||
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">rotate_xy</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">ang</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
|
||||
<span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">translate_xy</span><span class="p">(</span><span class="n">l</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
|
||||
|
||||
<span class="n">pylab</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span></div>
|
||||
</pre></div>
|
||||
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<div class="sphinxsidebar" role="navigation" aria-label="main navigation">
|
||||
<div class="sphinxsidebarwrapper">
|
||||
<h1 class="logo"><a href="../index.html">pylib</a></h1>
|
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|
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|
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|
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|
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|
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|
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|
||||
|
||||
<h3>Navigation</h3>
|
||||
|
||||
<div class="relations">
|
||||
<h3>Related Topics</h3>
|
||||
<ul>
|
||||
<li><a href="../index.html">Documentation overview</a><ul>
|
||||
<li><a href="index.html">Module code</a><ul>
|
||||
</ul></li>
|
||||
</ul></li>
|
||||
</ul>
|
||||
</div>
|
||||
<div id="searchbox" style="display: none" role="search">
|
||||
<h3 id="searchlabel">Quick search</h3>
|
||||
<div class="searchformwrapper">
|
||||
<form class="search" action="../search.html" method="get">
|
||||
<input type="text" name="q" aria-labelledby="searchlabel" />
|
||||
<input type="submit" value="Go" />
|
||||
</form>
|
||||
</div>
|
||||
</div>
|
||||
<script type="text/javascript">$('#searchbox').show(0);</script>
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<div class="clearer"></div>
|
||||
</div>
|
||||
<div class="footer">
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
|
||||
|
||||
|
||||
</body>
|
||||
</html>
|
||||
3
docs/build/html/_modules/index.html
vendored
3
docs/build/html/_modules/index.html
vendored
@@ -36,6 +36,7 @@
|
||||
<ul><li><a href="data.html">data</a></li>
|
||||
<li><a href="date.html">date</a></li>
|
||||
<li><a href="geometry.html">geometry</a></li>
|
||||
<li><a href="geometry_plot.html">geometry_plot</a></li>
|
||||
<li><a href="numerical/fit.html">numerical.fit</a></li>
|
||||
<li><a href="numerical/integration.html">numerical.integration</a></li>
|
||||
<li><a href="numerical/ode.html">numerical.ode</a></li>
|
||||
@@ -93,7 +94,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
2
docs/build/html/_modules/numerical/fit.html
vendored
2
docs/build/html/_modules/numerical/fit.html
vendored
@@ -182,7 +182,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
@@ -238,7 +238,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
2
docs/build/html/_modules/numerical/ode.html
vendored
2
docs/build/html/_modules/numerical/ode.html
vendored
@@ -528,7 +528,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
@@ -207,7 +207,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
2
docs/build/html/_modules/time_of_day.html
vendored
2
docs/build/html/_modules/time_of_day.html
vendored
@@ -243,7 +243,7 @@
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.1.2</a>
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.0</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
</div>
|
||||
|
||||
Reference in New Issue
Block a user