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<link rel="index" title="Index" href="../../../genindex/" /><link rel="search" title="Search" href="../../../search/" /><link rel="next" title="Spaces Utils" href="../utils/" /><link rel="prev" title="Fundamental Spaces" href="../fundamental/" />
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<section id="composite-spaces">
<h1>Composite Spaces<a class="headerlink" href="#composite-spaces" title="Permalink to this heading">#</a></h1>
<section id="dict">
<h2>Dict<a class="headerlink" href="#dict" title="Permalink to this heading">#</a></h2>
<dl class="py class">
<dt class="sig sig-object py" id="gymnasium.spaces.Dict">
<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">gymnasium.spaces.</span></span><span class="sig-name descname"><span class="pre">Dict</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">spaces</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">Dict</span><span class="p"><span class="pre">[</span></span><span class="pre">str</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.space.Space"><span class="pre">Space</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">str</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.space.Space"><span class="pre">Space</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">dict</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Generator</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">spaces_kwargs</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.space.Space"><span class="pre">Space</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#gymnasium.spaces.Dict" title="Permalink to this definition">#</a></dt>
<dd><p>A dictionary of <a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.Space"><code class="xref py py-class docutils literal notranslate"><span class="pre">Space</span></code></a> instances.</p>
<p>Elements of this space are (ordered) dictionaries of elements from the constituent spaces.</p>
<p>Example usage:</p>
<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">gymnasium.spaces</span> <span class="kn">import</span> <span class="n">Dict</span><span class="p">,</span> <span class="n">Discrete</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">observation_space</span> <span class="o">=</span> <span class="n">Dict</span><span class="p">({</span><span class="s2">&quot;position&quot;</span><span class="p">:</span> <span class="n">Discrete</span><span class="p">(</span><span class="mi">2</span><span class="p">),</span> <span class="s2">&quot;velocity&quot;</span><span class="p">:</span> <span class="n">Discrete</span><span class="p">(</span><span class="mi">3</span><span class="p">)})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">observation_space</span><span class="o">.</span><span class="n">sample</span><span class="p">()</span>
<span class="go">OrderedDict([(&#39;position&#39;, 1), (&#39;velocity&#39;, 2)])</span>
</pre></div>
</div>
<p>Example usage [nested]:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">gymnasium.spaces</span> <span class="kn">import</span> <span class="n">Box</span><span class="p">,</span> <span class="n">Dict</span><span class="p">,</span> <span class="n">Discrete</span><span class="p">,</span> <span class="n">MultiBinary</span><span class="p">,</span> <span class="n">MultiDiscrete</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Dict</span><span class="p">(</span>
<span class="gp">... </span> <span class="p">{</span>
<span class="gp">... </span> <span class="s2">&quot;ext_controller&quot;</span><span class="p">:</span> <span class="n">MultiDiscrete</span><span class="p">([</span><span class="mi">5</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">]),</span>
<span class="gp">... </span> <span class="s2">&quot;inner_state&quot;</span><span class="p">:</span> <span class="n">Dict</span><span class="p">(</span>
<span class="gp">... </span> <span class="p">{</span>
<span class="gp">... </span> <span class="s2">&quot;charge&quot;</span><span class="p">:</span> <span class="n">Discrete</span><span class="p">(</span><span class="mi">100</span><span class="p">),</span>
<span class="gp">... </span> <span class="s2">&quot;system_checks&quot;</span><span class="p">:</span> <span class="n">MultiBinary</span><span class="p">(</span><span class="mi">10</span><span class="p">),</span>
<span class="gp">... </span> <span class="s2">&quot;job_status&quot;</span><span class="p">:</span> <span class="n">Dict</span><span class="p">(</span>
<span class="gp">... </span> <span class="p">{</span>
<span class="gp">... </span> <span class="s2">&quot;task&quot;</span><span class="p">:</span> <span class="n">Discrete</span><span class="p">(</span><span class="mi">5</span><span class="p">),</span>
<span class="gp">... </span> <span class="s2">&quot;progress&quot;</span><span class="p">:</span> <span class="n">Box</span><span class="p">(</span><span class="n">low</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">high</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">shape</span><span class="o">=</span><span class="p">()),</span>
<span class="gp">... </span> <span class="p">}</span>
<span class="gp">... </span> <span class="p">),</span>
<span class="gp">... </span> <span class="p">}</span>
<span class="gp">... </span> <span class="p">),</span>
<span class="gp">... </span> <span class="p">}</span>
<span class="gp">... </span><span class="p">)</span>
</pre></div>
</div>
<p>It can be convenient to use <a class="reference internal" href="#gymnasium.spaces.Dict" title="gymnasium.spaces.Dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dict</span></code></a> spaces if you want to make complex observations or actions more human-readable.
Usually, it will not be possible to use elements of this space directly in learning code. However, you can easily
convert <cite>Dict</cite> observations to flat arrays by using a <code class="xref py py-class docutils literal notranslate"><span class="pre">gym.wrappers.FlattenObservation</span></code> wrapper. Similar wrappers can be
implemented to deal with <a class="reference internal" href="#gymnasium.spaces.Dict" title="gymnasium.spaces.Dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dict</span></code></a> actions.</p>
<p>Constructor of <a class="reference internal" href="#gymnasium.spaces.Dict" title="gymnasium.spaces.Dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dict</span></code></a> space.</p>
<p>This space can be instantiated in one of two ways: Either you pass a dictionary
of spaces to <code class="xref py py-meth docutils literal notranslate"><span class="pre">__init__()</span></code> via the <code class="docutils literal notranslate"><span class="pre">spaces</span></code> argument, or you pass the spaces as separate
keyword arguments (where you will need to avoid the keys <code class="docutils literal notranslate"><span class="pre">spaces</span></code> and <code class="docutils literal notranslate"><span class="pre">seed</span></code>)</p>
<p>Example:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">gymnasium.spaces</span> <span class="kn">import</span> <span class="n">Box</span><span class="p">,</span> <span class="n">Discrete</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Dict</span><span class="p">({</span><span class="s2">&quot;position&quot;</span><span class="p">:</span> <span class="n">Box</span><span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">2</span><span class="p">,)),</span> <span class="s2">&quot;color&quot;</span><span class="p">:</span> <span class="n">Discrete</span><span class="p">(</span><span class="mi">3</span><span class="p">)})</span>
<span class="go">Dict(color:Discrete(3), position:Box(-1.0, 1.0, (2,), float32))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Dict</span><span class="p">(</span><span class="n">position</span><span class="o">=</span><span class="n">Box</span><span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">2</span><span class="p">,)),</span> <span class="n">color</span><span class="o">=</span><span class="n">Discrete</span><span class="p">(</span><span class="mi">3</span><span class="p">))</span>
<span class="go">Dict(color:Discrete(3), position:Box(-1.0, 1.0, (2,), float32))</span>
</pre></div>
</div>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>spaces</strong> – A dictionary of spaces. This specifies the structure of the <a class="reference internal" href="#gymnasium.spaces.Dict" title="gymnasium.spaces.Dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dict</span></code></a> space</p></li>
<li><p><strong>seed</strong> – Optionally, you can use this argument to seed the RNGs of the spaces that make up the <a class="reference internal" href="#gymnasium.spaces.Dict" title="gymnasium.spaces.Dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dict</span></code></a> space.</p></li>
<li><p><strong>**spaces_kwargs</strong> – If <code class="docutils literal notranslate"><span class="pre">spaces</span></code> is <code class="docutils literal notranslate"><span class="pre">None</span></code>, you need to pass the constituent spaces as keyword arguments, as described above.</p></li>
</ul>
</dd>
</dl>
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</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Dict.sample">
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<span class="sig-prename descclassname"><span class="pre">Dict.</span></span><span class="sig-name descname"><span class="pre">sample</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mask</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Dict</span><span class="p"><span class="pre">[</span></span><span class="pre">str</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Any</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">dict</span></span></span><a class="headerlink" href="#gymnasium.spaces.Dict.sample" title="Permalink to this definition">#</a></dt>
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<dd><p>Generates a single random sample from this space.</p>
<p>The sample is an ordered dictionary of independent samples from the constituent spaces.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>mask</strong> – An optional mask for each of the subspaces, expects the same keys as the space</p>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p><strong>A dictionary with the same key and sampled values from :attr:`self.spaces`</strong></p>
</dd>
</dl>
</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Dict.seed">
<span class="sig-prename descclassname"><span class="pre">Dict.</span></span><span class="sig-name descname"><span class="pre">seed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">dict</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">list</span></span></span><a class="headerlink" href="#gymnasium.spaces.Dict.seed" title="Permalink to this definition">#</a></dt>
<dd><p>Seed the PRNG of this space and all subspaces.</p>
<p>Depending on the type of seed, the subspaces will be seeded differently
* None - All the subspaces will use a random initial seed
* Int - The integer is used to seed the <cite>Dict</cite> space that is used to generate seed values for each of the subspaces. Warning, this does not guarantee unique seeds for all of the subspaces.
* Dict - Using all the keys in the seed dictionary, the values are used to seed the subspaces. This allows the seeding of multiple composite subspaces (<cite>Dict[“space”: Dict[…], …]</cite> with <cite>{“space”: {…}, …}</cite>).</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>seed</strong> – An optional list of ints or int to seed the (sub-)spaces.</p>
</dd>
</dl>
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</dd></dl>
</section>
<section id="tuple">
<h2>Tuple<a class="headerlink" href="#tuple" title="Permalink to this heading">#</a></h2>
<dl class="py class">
<dt class="sig sig-object py" id="gymnasium.spaces.Tuple">
<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">gymnasium.spaces.</span></span><span class="sig-name descname"><span class="pre">Tuple</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">spaces</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Iterable</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.space.Space"><span class="pre">Space</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Generator</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#gymnasium.spaces.Tuple" title="Permalink to this definition">#</a></dt>
<dd><p>A tuple (more precisely: the cartesian product) of <a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.Space"><code class="xref py py-class docutils literal notranslate"><span class="pre">Space</span></code></a> instances.</p>
<p>Elements of this space are tuples of elements of the constituent spaces.</p>
<p>Example usage:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">gymnasium.spaces</span> <span class="kn">import</span> <span class="n">Box</span><span class="p">,</span> <span class="n">Discrete</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">observation_space</span> <span class="o">=</span> <span class="n">Tuple</span><span class="p">((</span><span class="n">Discrete</span><span class="p">(</span><span class="mi">2</span><span class="p">),</span> <span class="n">Box</span><span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">2</span><span class="p">,))))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">observation_space</span><span class="o">.</span><span class="n">sample</span><span class="p">()</span>
<span class="go">(0, array([0.03633198, 0.42370757], dtype=float32))</span>
</pre></div>
</div>
<p>Constructor of <a class="reference internal" href="#gymnasium.spaces.Tuple" title="gymnasium.spaces.Tuple"><code class="xref py py-class docutils literal notranslate"><span class="pre">Tuple</span></code></a> space.</p>
<p>The generated instance will represent the cartesian product <span class="math notranslate nohighlight">\(\text{spaces}[0] \times ... \times \text{spaces}[-1]\)</span>.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>spaces</strong> (<em>Iterable</em><em>[</em><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.Space"><em>Space</em></a><em>]</em>) – The spaces that are involved in the cartesian product.</p></li>
<li><p><strong>seed</strong> – Optionally, you can use this argument to seed the RNGs of the <code class="docutils literal notranslate"><span class="pre">spaces</span></code> to ensure reproducible sampling.</p></li>
</ul>
</dd>
</dl>
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</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Tuple.sample">
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<span class="sig-prename descclassname"><span class="pre">Tuple.</span></span><span class="sig-name descname"><span class="pre">sample</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mask</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">ndarray</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="p"><span class="pre">...</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">tuple</span></span></span><a class="headerlink" href="#gymnasium.spaces.Tuple.sample" title="Permalink to this definition">#</a></dt>
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<dd><p>Generates a single random sample inside this space.</p>
<p>This method draws independent samples from the subspaces.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>mask</strong> – An optional tuple of optional masks for each of the subspace’s samples,
expects the same number of masks as spaces</p>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p><strong>Tuple of the subspace’s samples</strong></p>
</dd>
</dl>
</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Tuple.seed">
<span class="sig-prename descclassname"><span class="pre">Tuple.</span></span><span class="sig-name descname"><span class="pre">seed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">Sequence</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#gymnasium.spaces.Tuple.seed" title="Permalink to this definition">#</a></dt>
<dd><p>Seed the PRNG of this space and all subspaces.</p>
<p>Depending on the type of seed, the subspaces will be seeded differently
* None - All the subspaces will use a random initial seed
* Int - The integer is used to seed the <cite>Tuple</cite> space that is used to generate seed values for each of the subspaces. Warning, this does not guarantee unique seeds for all of the subspaces.
* List - Values used to seed the subspaces. This allows the seeding of multiple composite subspaces (<cite>List(42, 54, …)</cite>).</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>seed</strong> – An optional list of ints or int to seed the (sub-)spaces.</p>
</dd>
</dl>
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</dd></dl>
</section>
<section id="sequence">
<h2>Sequence<a class="headerlink" href="#sequence" title="Permalink to this heading">#</a></h2>
<dl class="py class">
<dt class="sig sig-object py" id="gymnasium.spaces.Sequence">
<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">gymnasium.spaces.</span></span><span class="sig-name descname"><span class="pre">Sequence</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">space</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="../#gymnasium.spaces.Space" title="gymnasium.spaces.space.Space"><span class="pre">Space</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Generator</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#gymnasium.spaces.Sequence" title="Permalink to this definition">#</a></dt>
<dd><p>This space represent sets of finite-length sequences.</p>
<p>This space represents the set of tuples of the form <span class="math notranslate nohighlight">\((a_0, \dots, a_n)\)</span> where the <span class="math notranslate nohighlight">\(a_i\)</span> belong
to some space that is specified during initialization and the integer <span class="math notranslate nohighlight">\(n\)</span> is not fixed</p>
<dl>
<dt>Example::</dt><dd><div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="n">space</span> <span class="o">=</span> <span class="n">Sequence</span><span class="p">(</span><span class="n">Box</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="gp">&gt;&gt;&gt; </span><span class="n">space</span><span class="o">.</span><span class="n">sample</span><span class="p">()</span>
<span class="go">(array([0.0259352], dtype=float32),)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">space</span><span class="o">.</span><span class="n">sample</span><span class="p">()</span>
<span class="go">(array([0.80977976], dtype=float32), array([0.80066574], dtype=float32), array([0.77165383], dtype=float32))</span>
</pre></div>
</div>
</dd>
</dl>
<p>Constructor of the <a class="reference internal" href="#gymnasium.spaces.Sequence" title="gymnasium.spaces.Sequence"><code class="xref py py-class docutils literal notranslate"><span class="pre">Sequence</span></code></a> space.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>space</strong> – Elements in the sequences this space represent must belong to this space.</p></li>
<li><p><strong>seed</strong> – Optionally, you can use this argument to seed the RNG that is used to sample from the space.</p></li>
</ul>
</dd>
</dl>
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</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Sequence.sample">
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<span class="sig-prename descclassname"><span class="pre">Sequence.</span></span><span class="sig-name descname"><span class="pre">sample</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mask</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">ndarray</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">int</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Any</span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#gymnasium.spaces.Sequence.sample" title="Permalink to this definition">#</a></dt>
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<dd><p>Generates a single random sample from this space.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><p><strong>mask</strong> – An optional mask for (optionally) the length of the sequence and (optionally) the values in the sequence.
If you specify <cite>mask</cite>, it is expected to be a tuple of the form <cite>(length_mask, sample_mask)</cite> where <cite>length_mask</cite>
is
- <cite>None</cite> The length will be randomly drawn from a geometric distribution
- <cite>np.ndarray</cite> of integers, in which case the length of the sampled sequence is randomly drawn from this array.
- <cite>int</cite> for a fixed length sample
The second element of the mask tuple <cite>sample</cite> mask specifies a mask that is applied when
sampling elements from the base space. The mask is applied for each feature space sample.</p>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
<dd class="field-even"><p><strong>A tuple of random length with random samples of elements from the :attr:`feature_space`.</strong></p>
</dd>
</dl>
</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Sequence.seed">
<span class="sig-prename descclassname"><span class="pre">Sequence.</span></span><span class="sig-name descname"><span class="pre">seed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">list</span></span></span><a class="headerlink" href="#gymnasium.spaces.Sequence.seed" title="Permalink to this definition">#</a></dt>
<dd><p>Seed the PRNG of this space and the feature space.</p>
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</dd></dl>
</section>
<section id="graph">
<h2>Graph<a class="headerlink" href="#graph" title="Permalink to this heading">#</a></h2>
<dl class="py class">
<dt class="sig sig-object py" id="gymnasium.spaces.Graph">
<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">gymnasium.spaces.</span></span><span class="sig-name descname"><span class="pre">Graph</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">node_space</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="../fundamental/#gymnasium.spaces.Box" title="gymnasium.spaces.box.Box"><span class="pre">Box</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../fundamental/#gymnasium.spaces.Discrete" title="gymnasium.spaces.discrete.Discrete"><span class="pre">Discrete</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">edge_space</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">None</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../fundamental/#gymnasium.spaces.Box" title="gymnasium.spaces.box.Box"><span class="pre">Box</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../fundamental/#gymnasium.spaces.Discrete" title="gymnasium.spaces.discrete.Discrete"><span class="pre">Discrete</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Generator</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#gymnasium.spaces.Graph" title="Permalink to this definition">#</a></dt>
<dd><p>A space representing graph information as a series of <cite>nodes</cite> connected with <cite>edges</cite> according to an adjacency matrix represented as a series of <cite>edge_links</cite>.</p>
<p>Example usage:</p>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">gymnasium.spaces</span> <span class="kn">import</span> <span class="n">Box</span><span class="p">,</span> <span class="n">Discrete</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">Graph</span><span class="p">(</span><span class="n">node_space</span><span class="o">=</span><span class="n">Box</span><span class="p">(</span><span class="n">low</span><span class="o">=-</span><span class="mi">100</span><span class="p">,</span> <span class="n">high</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">shape</span><span class="o">=</span><span class="p">(</span><span class="mi">3</span><span class="p">,)),</span> <span class="n">edge_space</span><span class="o">=</span><span class="n">Discrete</span><span class="p">(</span><span class="mi">3</span><span class="p">))</span>
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</pre></div>
</div>
<p>Constructor of <a class="reference internal" href="#gymnasium.spaces.Graph" title="gymnasium.spaces.Graph"><code class="xref py py-class docutils literal notranslate"><span class="pre">Graph</span></code></a>.</p>
<p>The argument <code class="docutils literal notranslate"><span class="pre">node_space</span></code> specifies the base space that each node feature will use.
This argument must be either a Box or Discrete instance.</p>
<p>The argument <code class="docutils literal notranslate"><span class="pre">edge_space</span></code> specifies the base space that each edge feature will use.
This argument must be either a None, Box or Discrete instance.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>node_space</strong> (<em>Union</em><em>[</em><a class="reference internal" href="../fundamental/#gymnasium.spaces.Box" title="gymnasium.spaces.Box"><em>Box</em></a><em>, </em><a class="reference internal" href="../fundamental/#gymnasium.spaces.Discrete" title="gymnasium.spaces.Discrete"><em>Discrete</em></a><em>]</em>) – space of the node features.</p></li>
<li><p><strong>edge_space</strong> (<em>Union</em><em>[</em><em>None</em><em>, </em><a class="reference internal" href="../fundamental/#gymnasium.spaces.Box" title="gymnasium.spaces.Box"><em>Box</em></a><em>, </em><a class="reference internal" href="../fundamental/#gymnasium.spaces.Discrete" title="gymnasium.spaces.Discrete"><em>Discrete</em></a><em>]</em>) – space of the node features.</p></li>
<li><p><strong>seed</strong> – Optionally, you can use this argument to seed the RNG that is used to sample from the space.</p></li>
</ul>
</dd>
</dl>
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</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Graph.sample">
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<span class="sig-prename descclassname"><span class="pre">Graph.</span></span><span class="sig-name descname"><span class="pre">sample</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">mask</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">ndarray</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">tuple</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><span class="pre">ndarray</span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">tuple</span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">num_nodes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">int</span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">10</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">num_edges</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">GraphInstance</span></span></span><a class="headerlink" href="#gymnasium.spaces.Graph.sample" title="Permalink to this definition">#</a></dt>
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<dd><p>Generates a single sample graph with num_nodes between 1 and 10 sampled from the Graph.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>mask</strong> – An optional tuple of optional node and edge mask that is only possible with Discrete spaces
(Box spaces don’t support sample masks).
If no <cite>num_edges</cite> is provided then the <cite>edge_mask</cite> is multiplied by the number of edges</p></li>
<li><p><strong>num_nodes</strong> – The number of nodes that will be sampled, the default is 10 nodes</p></li>
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<li><p><strong>num_edges</strong> – An optional number of edges, otherwise, a random number between 0 and <cite>num_nodes</cite> ^ 2</p></li>
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</ul>
</dd>
<dt class="field-even">Returns<span class="colon">:</span></dt>
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<dd class="field-even"><p><strong>A :class:`GraphInstance` with attributes `.nodes`, `.edges`, and `.edge_links`.</strong></p>
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</dd>
</dl>
</dd></dl>
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<dl class="py method">
<dt class="sig sig-object py" id="gymnasium.spaces.Graph.seed">
<span class="sig-prename descclassname"><span class="pre">Graph.</span></span><span class="sig-name descname"><span class="pre">seed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">int</span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">list</span></span></span><a class="headerlink" href="#gymnasium.spaces.Graph.seed" title="Permalink to this definition">#</a></dt>
<dd><p>Seed the PRNG of this space and possibly the PRNGs of subspaces.</p>
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</dd></dl>
</section>
</section>
</article>
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<li><a class="reference internal" href="#">Composite Spaces</a><ul>
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<li><a class="reference internal" href="#dict">Dict</a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Dict"><code class="docutils literal notranslate"><span class="pre">Dict</span></code></a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Dict.sample"><code class="docutils literal notranslate"><span class="pre">Dict.sample()</span></code></a></li>
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<li><a class="reference internal" href="#gymnasium.spaces.Dict.seed"><code class="docutils literal notranslate"><span class="pre">Dict.seed()</span></code></a></li>
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</ul>
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<li><a class="reference internal" href="#tuple">Tuple</a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Tuple"><code class="docutils literal notranslate"><span class="pre">Tuple</span></code></a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Tuple.sample"><code class="docutils literal notranslate"><span class="pre">Tuple.sample()</span></code></a></li>
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<li><a class="reference internal" href="#gymnasium.spaces.Tuple.seed"><code class="docutils literal notranslate"><span class="pre">Tuple.seed()</span></code></a></li>
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</ul>
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<li><a class="reference internal" href="#sequence">Sequence</a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Sequence"><code class="docutils literal notranslate"><span class="pre">Sequence</span></code></a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Sequence.sample"><code class="docutils literal notranslate"><span class="pre">Sequence.sample()</span></code></a></li>
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<li><a class="reference internal" href="#gymnasium.spaces.Sequence.seed"><code class="docutils literal notranslate"><span class="pre">Sequence.seed()</span></code></a></li>
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</ul>
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<li><a class="reference internal" href="#graph">Graph</a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Graph"><code class="docutils literal notranslate"><span class="pre">Graph</span></code></a><ul>
<li><a class="reference internal" href="#gymnasium.spaces.Graph.sample"><code class="docutils literal notranslate"><span class="pre">Graph.sample()</span></code></a></li>
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<li><a class="reference internal" href="#gymnasium.spaces.Graph.seed"><code class="docutils literal notranslate"><span class="pre">Graph.seed()</span></code></a></li>
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</ul>
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</ul>
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