Update Sphinx documentation, commit 655e236 [skip ci].

_sources/changelog.rst

@@ -3,7 +3,7 @@
 Changelog
 =========
 
-1.0.0 (unreleased)
+1.0.0 (2023-08-11)
 ------------------
 
 New

index.html

@@ -489,28 +489,28 @@ <h1>heyoka.py<a class="headerlink" href="#heyoka-py" title="Permalink to this he
 </li>
 <li class="toctree-l1"><a class="reference internal" href="benchmarks.html">Benchmarks</a></li>
 <li class="toctree-l1"><a class="reference internal" href="changelog.html">Changelog</a><ul>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#unreleased">1.0.0 (unreleased)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id2">0.21.8 (2023-07-03)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id3">0.21.7 (2023-02-16)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id6">0.20.0 (2022-12-18)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id10">0.19.0 (2022-09-19)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id13">0.18.0 (2022-05-11)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id17">0.17.0 (2022-01-25)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id21">0.16.0 (2021-11-20)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id24">0.15.1 (2021-10-10)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id26">0.15.0 (2021-09-28)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id30">0.14.0 (2021-08-03)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id33">0.12.0 (2021-07-23)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id36">0.11.0 (2021-07-06)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id39">0.10.0 (2021-06-09)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id42">0.9.0 (2021-05-25)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id45">0.8.0 (2021-04-28)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id48">0.7.0 (2021-04-22)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id51">0.6.1 (2021-04-08)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id54">0.6.0 (2021-04-06)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id58">0.5.0 (2021-02-25)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id61">0.4.0 (2021-02-20)</a></li>
-<li class="toctree-l2"><a class="reference internal" href="changelog.html#id64">0.3.0 (2021-02-13)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id2">1.0.0 (2023-08-11)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id3">0.21.8 (2023-07-03)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id4">0.21.7 (2023-02-16)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id7">0.20.0 (2022-12-18)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id11">0.19.0 (2022-09-19)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id14">0.18.0 (2022-05-11)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id18">0.17.0 (2022-01-25)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id22">0.16.0 (2021-11-20)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id25">0.15.1 (2021-10-10)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id27">0.15.0 (2021-09-28)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id31">0.14.0 (2021-08-03)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id34">0.12.0 (2021-07-23)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id37">0.11.0 (2021-07-06)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id40">0.10.0 (2021-06-09)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id43">0.9.0 (2021-05-25)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id46">0.8.0 (2021-04-28)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id49">0.7.0 (2021-04-22)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id52">0.6.1 (2021-04-08)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id55">0.6.0 (2021-04-06)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id59">0.5.0 (2021-02-25)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id62">0.4.0 (2021-02-20)</a></li>
+<li class="toctree-l2"><a class="reference internal" href="changelog.html#id65">0.3.0 (2021-02-13)</a></li>
 </ul>
 </li>
 <li class="toctree-l1"><a class="reference internal" href="breaking_changes.html">Breaking changes</a><ul>

notebooks/Batch mode overview.html

@@ -1309,7 +1309,7 @@ <h2>Ensemble propagations<a class="headerlink" href="#ensemble-propagations" tit
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+<img alt="../_images/8a36a2a8adaaa82eda958126ff7180067f5c3ce27e76999dd4a8de92c3978979.png" src="../_images/8a36a2a8adaaa82eda958126ff7180067f5c3ce27e76999dd4a8de92c3978979.png" />
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notebooks/Customising the adaptive integrator.html

@@ -563,8 +563,8 @@ <h2>Compact mode<a class="headerlink" href="#compact-mode" title="Permalink to t
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 4.97 s, sys: 65 ms, total: 5.04 s
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+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 5.02 s, sys: 65.4 ms, total: 5.09 s
+Wall time: 5.09 s
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 185 ms, sys: 0 ns, total: 185 ms
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+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 189 ms, sys: 0 ns, total: 189 ms
+Wall time: 189 ms
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notebooks/Optimal Control of the Lotka-Volterra equations.html

@@ -1025,9 +1025,9 @@ <h2>Implementing a single shooting method<a class="headerlink" href="#implementi
 </div>
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 <div class="cell_output docutils container">
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_12904/2332358995.py:11: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_12907/2332358995.py:11: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.pars[6] = np.heaviside(switching_function(x_0,y_0,lx_0,ly_0, ps), 1.)
-/tmp/ipykernel_12904/2332358995.py:14: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+/tmp/ipykernel_12907/2332358995.py:14: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.state[0] = x_0; ta.state[1] = y_0; ta.state[2] = lx_0; ta.state[3] = ly_0
 </pre></div>
 </div>
@@ -1069,7 +1069,7 @@ <h2>Implementing a single shooting method<a class="headerlink" href="#implementi
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-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_12904/685660463.py:12: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_12907/685660463.py:12: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.pars[6] = np.heaviside(switching_function(x_0,y_0,lx_0,ly_0, ps), 1.)
 </pre></div>
 </div>

notebooks/Periodic orbits in the CR3BP.html

@@ -664,7 +664,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 10.542181491851807 seconds --- to build the Taylor integrator
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 10.519160985946655 seconds --- to build the Taylor integrator
 </pre></div>
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@@ -695,7 +695,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.0475003719329834 seconds --- to propagate
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.048708200454711914 seconds --- to propagate
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@@ -753,7 +753,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.collections.PathCollection at 0x7fa6aab87160&gt;
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 <img alt="../_images/38d7685311d4c0702c894ea7ed3a7c8adce228eb1b7d34e0f04fe4a77277e9da.png" src="../_images/38d7685311d4c0702c894ea7ed3a7c8adce228eb1b7d34e0f04fe4a77277e9da.png" />

notebooks/ensemble_mode.html

@@ -564,11 +564,11 @@ <h2>A simple example<a class="headerlink" href="#a-simple-example" title="Permal
  Taylor order            : 20
  Dimension               : 2
  Time                    : 20
- State                   : [0.04755546341302916, 0.05991574156688663],
+ State                   : [0.04541153771724988, 0.051244614967856816],
  &lt;taylor_outcome.time_limit: -4294967299&gt;,
- 0.20154541671632062,
- 0.21833796696489496,
- 97,
+ 0.2040493096415818,
+ 0.2181085999657093,
+ 96,
  None)
 </pre></div>
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+<img alt="../_images/6ace479f83909e0923962874207b5112c55b035c064141a64c9d2570e9bd688e.png" src="../_images/6ace479f83909e0923962874207b5112c55b035c064141a64c9d2570e9bd688e.png" />
 </div>
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notebooks/second_integral.html

@@ -598,7 +598,7 @@ <h2>Running the experiments<a class="headerlink" href="#running-the-experiments"
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-<img alt="../_images/f7809ac9e54467992db18f9964b5932ef55c24af9f4d56d5821a31d95cf9ea9a.png" src="../_images/f7809ac9e54467992db18f9964b5932ef55c24af9f4d56d5821a31d95cf9ea9a.png" />
+<img alt="../_images/42c196e737c921c9b7d3d80d9ec5f164aeb4369c08c7d6044f0ce32352cc6197.png" src="../_images/42c196e737c921c9b7d3d80d9ec5f164aeb4369c08c7d6044f0ce32352cc6197.png" />
 </div>
 </div>
 <p>This Poincare’ section is suggesting that the integral of motion <span class="math notranslate nohighlight">\(\mathcal{C}\)</span> does indeed exist, because the intersections of all random orbits are clearly tracing curves on the <span class="math notranslate nohighlight">\(x=0\)</span> plane.</p>
@@ -613,7 +613,7 @@ <h2>Running the experiments<a class="headerlink" href="#running-the-experiments"
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-<img alt="../_images/8f9a2852741b27ac8a1a20d9012ae88e3a7a45d4958e5db9e16a830fa8175514.png" src="../_images/8f9a2852741b27ac8a1a20d9012ae88e3a7a45d4958e5db9e16a830fa8175514.png" />
+<img alt="../_images/da2ee3da52b9d67954f261a32fd8ed705bb3cfb14e462225aa1df9a5049f471d.png" src="../_images/da2ee3da52b9d67954f261a32fd8ed705bb3cfb14e462225aa1df9a5049f471d.png" />
 </div>
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 <p>The qualitative picture is now radically different. Although islands of stable motion persist, now most trajectories seem to be densely filling the plane, rather than tracing curves on it. Let us further increase the energy level:</p>
@@ -624,7 +624,7 @@ <h2>Running the experiments<a class="headerlink" href="#running-the-experiments"
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-<img alt="../_images/70892f244209d7a721e1a3c65cf1530ddac7ebb5e0c7bebecb0927ae883dd7e9.png" src="../_images/70892f244209d7a721e1a3c65cf1530ddac7ebb5e0c7bebecb0927ae883dd7e9.png" />
+<img alt="../_images/e427303d4507e720d301cec646137513e47033a4ba3b4204bf621496868af835.png" src="../_images/e427303d4507e720d301cec646137513e47033a4ba3b4204bf621496868af835.png" />
 </div>
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 <p>At higher energies, the densely-filling behaviour (which Henon and Heiles call <em>ergodic</em>) is even more prevalent than before.</p>

notebooks/sympy_interop.html

@@ -587,8 +587,8 @@ <h1>Interoperability with SymPy<a class="headerlink" href="#interoperability-wit
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.62 s, sys: 8.69 ms, total: 2.63 s
-Wall time: 2.63 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.22 s, sys: 389 µs, total: 2.22 s
+Wall time: 2.22 s
 </pre></div>
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 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>(&lt;taylor_outcome.time_limit: -4294967299&gt;,
@@ -607,8 +607,8 @@ <h1>Interoperability with SymPy<a class="headerlink" href="#interoperability-wit
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.43 s, sys: 2.31 ms, total: 2.43 s
-Wall time: 2.43 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.4 s, sys: 411 µs, total: 2.4 s
+Wall time: 2.4 s
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 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>(&lt;taylor_outcome.time_limit: -4294967299&gt;,