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<h1>Source code for astroML.datasets.generated</h1><div class="highlight"><pre>
<span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">astropy.cosmology</span> <span class="kn">import</span> <span class="n">FlatLambdaCDM</span>
<span class="kn">from</span> <span class="nn">..density_estimation</span> <span class="kn">import</span> <span class="n">FunctionDistribution</span>
<span class="kn">from</span> <span class="nn">sklearn.utils</span> <span class="kn">import</span> <span class="n">check_random_state</span>
<span class="k">def</span> <span class="nf">redshift_distribution</span><span class="p">(</span><span class="n">z</span><span class="p">,</span> <span class="n">z0</span><span class="p">):</span>
<span class="k">return</span> <span class="p">(</span><span class="n">z</span> <span class="o">/</span> <span class="n">z0</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="mf">1.5</span> <span class="o">*</span> <span class="p">(</span><span class="n">z</span> <span class="o">/</span> <span class="n">z0</span><span class="p">))</span>
<div class="viewcode-block" id="generate_mu_z"><a class="viewcode-back" href="../../../modules/generated/astroML.datasets.generate_mu_z.html#astroML.datasets.generate_mu_z">[docs]</a><span class="k">def</span> <span class="nf">generate_mu_z</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">1000</span><span class="p">,</span> <span class="n">z0</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span> <span class="n">dmu_0</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span> <span class="n">dmu_1</span><span class="o">=</span><span class="mf">0.02</span><span class="p">,</span>
<span class="n">random_state</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">cosmo</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">"""Generate a dataset of distance modulus vs redshift.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> size : int or tuple</span>
<span class="sd"> size of generated data</span>
<span class="sd"> z0 : float</span>
<span class="sd"> parameter in redshift distribution:</span>
<span class="sd"> p(z) ~ (z / z0)^2 exp[-1.5 (z / z0)]</span>
<span class="sd"> dmu_0, dmu_1 : float</span>
<span class="sd"> specify the error in mu, dmu = dmu_0 + dmu_1 * mu</span>
<span class="sd"> random_state : None, int, or np.random.RandomState instance</span>
<span class="sd"> random seed or random number generator</span>
<span class="sd"> cosmo : astropy.cosmology instance specifying cosmology</span>
<span class="sd"> to use when generating the sample. If not provided,</span>
<span class="sd"> a Flat Lambda CDM model with H0=71, Om0=0.27, Tcmb=0 is used.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> z, mu, dmu : ndarrays</span>
<span class="sd"> arrays of shape ``size``</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">cosmo</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">cosmo</span> <span class="o">=</span> <span class="n">FlatLambdaCDM</span><span class="p">(</span><span class="n">H0</span><span class="o">=</span><span class="mi">71</span><span class="p">,</span> <span class="n">Om0</span><span class="o">=</span><span class="mf">0.27</span><span class="p">,</span> <span class="n">Tcmb0</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
<span class="n">random_state</span> <span class="o">=</span> <span class="n">check_random_state</span><span class="p">(</span><span class="n">random_state</span><span class="p">)</span>
<span class="n">zdist</span> <span class="o">=</span> <span class="n">FunctionDistribution</span><span class="p">(</span><span class="n">redshift_distribution</span><span class="p">,</span> <span class="n">func_args</span><span class="o">=</span><span class="nb">dict</span><span class="p">(</span><span class="n">z0</span><span class="o">=</span><span class="n">z0</span><span class="p">),</span>
<span class="n">xmin</span><span class="o">=</span><span class="mf">0.1</span> <span class="o">*</span> <span class="n">z0</span><span class="p">,</span> <span class="n">xmax</span><span class="o">=</span><span class="mi">10</span> <span class="o">*</span> <span class="n">z0</span><span class="p">,</span>
<span class="n">random_state</span><span class="o">=</span><span class="n">random_state</span><span class="p">)</span>
<span class="n">z_sample</span> <span class="o">=</span> <span class="n">zdist</span><span class="o">.</span><span class="n">rvs</span><span class="p">(</span><span class="n">size</span><span class="p">)</span>
<span class="n">mu_sample</span> <span class="o">=</span> <span class="n">cosmo</span><span class="o">.</span><span class="n">distmod</span><span class="p">(</span><span class="n">z_sample</span><span class="p">)</span><span class="o">.</span><span class="n">value</span>
<span class="n">dmu</span> <span class="o">=</span> <span class="n">dmu_0</span> <span class="o">+</span> <span class="n">dmu_1</span> <span class="o">*</span> <span class="n">mu_sample</span>
<span class="n">mu_sample</span> <span class="o">=</span> <span class="n">random_state</span><span class="o">.</span><span class="n">normal</span><span class="p">(</span><span class="n">mu_sample</span><span class="p">,</span> <span class="n">dmu</span><span class="p">)</span>
<span class="k">return</span> <span class="n">z_sample</span><span class="p">,</span> <span class="n">mu_sample</span><span class="p">,</span> <span class="n">dmu</span></div>
</pre></div>
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