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521 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[1]:·</span><span·class="kn">import</span>·<span·class="nn">numpy.random</span>521 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[1]:·</span><span·class="kn">import</span>·<span·class="nn">numpy.random</span>
  
522 <span·class="gp">In·[2]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>522 <span·class="gp">In·[2]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>
  
523 <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000)523 <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000)
524 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000)524 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000)
525 <span·class="gp">···...:·</span>525 <span·class="gp">···...:·</span>
526 <span·class="go">The·slowest·run·took·5.77·times·longer·than·the·fastest.·This·could·mean·that·an·intermediate·result·is·being·cached.</span> 
527 <span·class="go">7.93·ms·+-·4.22·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>526 <span·class="go">1.4·ms·+-·140·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
528 <span·class="go">10.3·ms·+-·3.85·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>527 <span·class="go">2.66·ms·+-·125·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
529 </pre></div>528 </pre></div>
530 </div>529 </div>
531 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_exponential(100000)530 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_exponential(100000)
532 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000)531 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000)
533 <span·class="gp">···...:·</span>532 <span·class="gp">···...:·</span>
534 <span·class="go">2.05·ms·+-·788·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>533 <span·class="go">741·us·+-·35.1·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
535 <span·class="go">5.01·ms·+-·1.25·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>534 <span·class="go">1.96·ms·+-·51.6·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
536 </pre></div>535 </pre></div>
537 </div>536 </div>
538 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_gamma(3.0,·100000)537 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_gamma(3.0,·100000)
539 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000)538 <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000)
540 <span·class="gp">···...:·</span>539 <span·class="gp">···...:·</span>
 540 <span·class="go">2.71·ms·+-·73.8·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
541 <span·class="go">8.88·ms·+-·1.43·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>541 <span·class="go">5.08·ms·+-·49.2·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span>
542 <span·class="go">16.6·ms·+-·6.21·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> 
543 </pre></div>542 </pre></div>
544 </div>543 </div>
545 <ul·class="simple">544 <ul·class="simple">
546 <li><p><a·class="reference·internal"·href="generated/numpy.random.Generator.integers.html#numpy.random.Generator.integers"·title="numpy.random.Generator.integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">integers</span></code></a>·is·now·the·canonical·way·to·generate·integer545 <li><p><a·class="reference·internal"·href="generated/numpy.random.Generator.integers.html#numpy.random.Generator.integers"·title="numpy.random.Generator.integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">integers</span></code></a>·is·now·the·canonical·way·to·generate·integer
547 random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both546 random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both
548 <a·class="reference·internal"·href="generated/numpy.random.randint.html#numpy.random.randint"·title="numpy.random.randint"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randint</span></code></a>·and·the·deprecated·<a·class="reference·internal"·href="generated/numpy.random.random_integers.html#numpy.random.random_integers"·title="numpy.random.random_integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random_integers</span></code></a>.</p></li>547 <a·class="reference·internal"·href="generated/numpy.random.randint.html#numpy.random.randint"·title="numpy.random.randint"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randint</span></code></a>·and·the·deprecated·<a·class="reference·internal"·href="generated/numpy.random.random_integers.html#numpy.random.random_integers"·title="numpy.random.random_integers"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random_integers</span></code></a>.</p></li>
549 <li><p>The·<a·class="reference·internal"·href="generated/numpy.random.rand.html#numpy.random.rand"·title="numpy.random.rand"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">rand</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.randn.html#numpy.random.randn"·title="numpy.random.randn"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randn</span></code></a>·methods·are·only·available·through·the·legacy548 <li><p>The·<a·class="reference·internal"·href="generated/numpy.random.rand.html#numpy.random.rand"·title="numpy.random.rand"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">rand</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.randn.html#numpy.random.randn"·title="numpy.random.randn"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">randn</span></code></a>·methods·are·only·available·through·the·legacy
Offset 572, 21 lines modifiedOffset 571, 21 lines modified
572 <li><p>Standard·Exponentials·(<a·class="reference·internal"·href="generated/numpy.random.Generator.standard_exponential.html#numpy.random.Generator.standard_exponential"·title="numpy.random.Generator.standard_exponential"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">standard_exponential</span></code></a>)</p></li>571 <li><p>Standard·Exponentials·(<a·class="reference·internal"·href="generated/numpy.random.Generator.standard_exponential.html#numpy.random.Generator.standard_exponential"·title="numpy.random.Generator.standard_exponential"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">standard_exponential</span></code></a>)</p></li>
573 </ul>572 </ul>
574 </li>573 </li>
575 </ul>574 </ul>
576 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[6]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>575 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[6]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>
  
577 <span·class="gp">In·[7]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float64</span><span·class="p">)</span>576 <span·class="gp">In·[7]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float64</span><span·class="p">)</span>
578 <span·class="gh">Out[7]:·</span><span·class="go">array([0.91752088,·0.40517364,·0.34177463])</span>577 <span·class="gh">Out[7]:·</span><span·class="go">array([0.38379785,·0.80072776,·0.37761933])</span>
  
579 <span·class="gp">In·[8]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float32</span><span·class="p">)</span>578 <span·class="gp">In·[8]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">float32</span><span·class="p">)</span>
580 <span·class="gh">Out[8]:·</span><span·class="go">array([0.40213883,·0.3629427·,·0.7869219·],·dtype=float32)</span>579 <span·class="gh">Out[8]:·</span><span·class="go">array([0.44799286,·0.49275666,·0.21635199],·dtype=float32)</span>
  
581 <span·class="gp">In·[9]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">integers</span><span·class="p">(</span><span·class="mi">0</span><span·class="p">,</span>·<span·class="mi">256</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">uint8</span><span·class="p">)</span>580 <span·class="gp">In·[9]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">integers</span><span·class="p">(</span><span·class="mi">0</span><span·class="p">,</span>·<span·class="mi">256</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">3</span><span·class="p">,</span>·<span·class="n">dtype</span><span·class="o">=</span><span·class="n">np</span><span·class="o">.</span><span·class="n">uint8</span><span·class="p">)</span>
582 <span·class="gh">Out[9]:·</span><span·class="go">array([139,·177,··66],·dtype=uint8)</span>581 <span·class="gh">Out[9]:·</span><span·class="go">array([·53,·151,·110],·dtype=uint8)</span>
583 </pre></div>582 </pre></div>
584 </div>583 </div>
585 <ul>584 <ul>
586 <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for585 <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for
587 select·distributions</p>586 select·distributions</p>
588 <ul·class="simple">587 <ul·class="simple">
589 <li><p>Uniforms·(<a·class="reference·internal"·href="generated/numpy.random.Generator.random.html#numpy.random.Generator.random"·title="numpy.random.Generator.random"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random</span></code></a>)</p></li>588 <li><p>Uniforms·(<a·class="reference·internal"·href="generated/numpy.random.Generator.random.html#numpy.random.Generator.random"·title="numpy.random.Generator.random"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">random</span></code></a>)</p></li>
Offset 599, 18 lines modifiedOffset 598, 18 lines modified
599 </li>598 </li>
600 </ul>599 </ul>
601 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[10]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>600 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[10]:·</span><span·class="n">rng</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">default_rng</span><span·class="p">()</span>
  
602 <span·class="gp">In·[11]:·</span><span·class="n">existing</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">zeros</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)</span>601 <span·class="gp">In·[11]:·</span><span·class="n">existing</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">zeros</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)</span>
  
603 <span·class="gp">In·[12]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="n">out</span><span·class="o">=</span><span·class="n">existing</span><span·class="p">[:</span><span·class="mi">2</span><span·class="p">])</span>602 <span·class="gp">In·[12]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">random</span><span·class="p">(</span><span·class="n">out</span><span·class="o">=</span><span·class="n">existing</span><span·class="p">[:</span><span·class="mi">2</span><span·class="p">])</span>
604 <span·class="gh">Out[12]:·</span><span·class="go">array([0.48698776,·0.44284814])</span>603 <span·class="gh">Out[12]:·</span><span·class="go">array([0.53774083,·0.31372853])</span>
  
605 <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span>604 <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span>
606 <span·class="go">[0.48698776·0.44284814·0.·········0.········]</span>605 <span·class="go">[0.53774083·0.31372853·0.·········0.········]</span>
607 </pre></div>606 </pre></div>
608 </div>607 </div>
609 <ul·class="simple">608 <ul·class="simple">
610 <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">axis</span></code>·argument·for·methods·like·<a·class="reference·internal"·href="generated/numpy.random.Generator.choice.html#numpy.random.Generator.choice"·title="numpy.random.Generator.choice"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">choice</span></code></a>,609 <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">axis</span></code>·argument·for·methods·like·<a·class="reference·internal"·href="generated/numpy.random.Generator.choice.html#numpy.random.Generator.choice"·title="numpy.random.Generator.choice"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">choice</span></code></a>,
611 <a·class="reference·internal"·href="generated/numpy.random.Generator.permutation.html#numpy.random.Generator.permutation"·title="numpy.random.Generator.permutation"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">permutation</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.Generator.shuffle.html#numpy.random.Generator.shuffle"·title="numpy.random.Generator.shuffle"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">shuffle</span></code></a>·that·controls·which610 <a·class="reference·internal"·href="generated/numpy.random.Generator.permutation.html#numpy.random.Generator.permutation"·title="numpy.random.Generator.permutation"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">permutation</span></code></a>·and·<a·class="reference·internal"·href="generated/numpy.random.Generator.shuffle.html#numpy.random.Generator.shuffle"·title="numpy.random.Generator.shuffle"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">shuffle</span></code></a>·that·controls·which
612 axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li>611 axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li>
613 </ul>612 </ul>
Offset 622, 25 lines modifiedOffset 621, 25 lines modified
622 <span·class="gh">Out[16]:·</span>621 <span·class="gh">Out[16]:·</span>
623 <span·class="go">array([[·0,··1,··2,··3],</span>622 <span·class="go">array([[·0,··1,··2,··3],</span>
624 <span·class="go">·······[·4,··5,··6,··7],</span>623 <span·class="go">·······[·4,··5,··6,··7],</span>
625 <span·class="go">·······[·8,··9,·10,·11]])</span>624 <span·class="go">·······[·8,··9,·10,·11]])</span>
  
626 <span·class="gp">In·[17]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">choice</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">5</span><span·class="p">)</span>625 <span·class="gp">In·[17]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">choice</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">,</span>·<span·class="n">size</span><span·class="o">=</span><span·class="mi">5</span><span·class="p">)</span>
627 <span·class="gh">Out[17]:·</span>626 <span·class="gh">Out[17]:·</span>
628 <span·class="go">array([[·2,··0,··0,··2,··3],</span>627 <span·class="go">array([[·0,··0,··0,··3,··2],</span>
629 <span·class="go">·······[·6,··4,··4,··6,··7],</span>628 <span·class="go">·······[·4,··4,··4,··7,··6],</span>
630 <span·class="go">·······[10,··8,··8,·10,·11]])</span>629 <span·class="go">·······[·8,··8,··8,·11,·10]])</span>
  
631 <span·class="gp">In·[18]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>········<span·class="c1">#·Shuffle·in-place</span>630 <span·class="gp">In·[18]:·</span><span·class="n">rng</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">a</span><span·class="p">,</span>·<span·class="n">axis</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>········<span·class="c1">#·Shuffle·in-place</span>
  
632 <span·class="gp">In·[19]:·</span><span·class="n">a</span>631 <span·class="gp">In·[19]:·</span><span·class="n">a</span>
633 <span·class="gh">Out[19]:·</span>632 <span·class="gh">Out[19]:·</span>
634 <span·class="go">array([[·0,··1,··2,··3],</span>633 <span·class="go">array([[·0,··3,··2,··1],</span>
635 <span·class="go">·······[·4,··5,··6,··7],</span>634 <span·class="go">·······[·4,··7,··6,··5],</span>
636 <span·class="go">·······[·8,··9,·10,·11]])</span>635 <span·class="go">·······[·8,·11,·10,··9]])</span>
637 </pre></div>636 </pre></div>
638 </div>637 </div>
639 <ul·class="simple">638 <ul·class="simple">
640 <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution639 <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution
641 (<em·class="xref·py·py-obj">complex_normal</em>)</p></li>640 (<em·class="xref·py·py-obj">complex_normal</em>)</p></li>
642 </ul>641 </ul>
643 </section>642 </section>
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Offset 101, 28 lines modifiedOffset 101, 26 lines modified
101 In·[1]:·import·numpy.random101 In·[1]:·import·numpy.random
  
102 In·[2]:·rng·=·np.random.default_rng()102 In·[2]:·rng·=·np.random.default_rng()
  
103 In·[3]:·%timeit·-n·1·rng.standard_normal(100000)103 In·[3]:·%timeit·-n·1·rng.standard_normal(100000)
104 ···...:·%timeit·-n·1·numpy.random.standard_normal(100000)104 ···...:·%timeit·-n·1·numpy.random.standard_normal(100000)
105 ···...:105 ···...:
106 The·slowest·run·took·5.77·times·longer·than·the·fastest.·This·could·mean·that 
107 an·intermediate·result·is·being·cached. 
108 7.93·ms·+-·4.22·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)106 1.4·ms·+-·140·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
109 10.3·ms·+-·3.85·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)107 2.66·ms·+-·125·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
110 In·[4]:·%timeit·-n·1·rng.standard_exponential(100000)108 In·[4]:·%timeit·-n·1·rng.standard_exponential(100000)
111 ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000)109 ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000)
112 ···...:110 ···...:
113 2.05·ms·+-·788·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)111 741·us·+-·35.1·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
114 5.01·ms·+-·1.25·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)112 1.96·ms·+-·51.6·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
115 In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000)113 In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000)
116 ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000)114 ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000)
117 ···...:115 ···...:
 116 2.71·ms·+-·73.8·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
118 8.88·ms·+-·1.43·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)117 5.08·ms·+-·49.2·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)
119 16.6·ms·+-·6.21·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) 
120 ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from118 ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from
121 ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the119 ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the
122 ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s.120 ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s.
123 ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy121 ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy
124 ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e.122 ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e.
125 ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8o_\x8r_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·is·now·the·canonical·way·to·generate·floating-point123 ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8o_\x8r_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·is·now·the·canonical·way·to·generate·floating-point
126 ······random·numbers,·which·replaces·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·_\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·and124 ······random·numbers,·which·replaces·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·_\x8s_\x8a_\x8m_\x8p_\x8l_\x8e,·and
Offset 141, 38 lines modifiedOffset 139, 38 lines modified
141 ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s)139 ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s)
142 ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l)140 ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l)
143 ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a)141 ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a)
144 ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l)142 ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l)
145 In·[6]:·rng·=·np.random.default_rng()143 In·[6]:·rng·=·np.random.default_rng()
  
146 In·[7]:·rng.random(3,·dtype=np.float64)144 In·[7]:·rng.random(3,·dtype=np.float64)
147 Out[7]:·array([0.91752088,·0.40517364,·0.34177463])145 Out[7]:·array([0.38379785,·0.80072776,·0.37761933])
  
148 In·[8]:·rng.random(3,·dtype=np.float32)146 In·[8]:·rng.random(3,·dtype=np.float32)
149 Out[8]:·array([0.40213883,·0.3629427·,·0.7869219·],·dtype=float32)147 Out[8]:·array([0.44799286,·0.49275666,·0.21635199],·dtype=float32)
  
150 In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8)148 In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8)
151 Out[9]:·array([139,·177,··66],·dtype=uint8)149 Out[9]:·array([·53,·151,·110],·dtype=uint8)
152 ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select150 ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select
153 ······distributions151 ······distributions
154 ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m)152 ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m)
155 ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l)153 ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l)
156 ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a)154 ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a)
157 ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l)155 ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l)
158 ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable156 ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable
159 ······BitGenerators·in·parallel.157 ······BitGenerators·in·parallel.
160 In·[10]:·rng·=·np.random.default_rng()158 In·[10]:·rng·=·np.random.default_rng()
  
161 In·[11]:·existing·=·np.zeros(4)159 In·[11]:·existing·=·np.zeros(4)
  
162 In·[12]:·rng.random(out=existing[:2])160 In·[12]:·rng.random(out=existing[:2])
163 Out[12]:·array([0.48698776,·0.44284814])161 Out[12]:·array([0.53774083,·0.31372853])
  
164 In·[13]:·print(existing)162 In·[13]:·print(existing)
165 [0.48698776·0.44284814·0.·········0.········]163 [0.53774083·0.31372853·0.·········0.········]
166 ····*·Optional·axis·argument·for·methods·like·_\x8c_\x8h_\x8o_\x8i_\x8c_\x8e,·_\x8p_\x8e_\x8r_\x8m_\x8u_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n·and·_\x8s_\x8h_\x8u_\x8f_\x8f_\x8l_\x8e164 ····*·Optional·axis·argument·for·methods·like·_\x8c_\x8h_\x8o_\x8i_\x8c_\x8e,·_\x8p_\x8e_\x8r_\x8m_\x8u_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n·and·_\x8s_\x8h_\x8u_\x8f_\x8f_\x8l_\x8e
167 ······that·controls·which·axis·an·operation·is·performed·over·for·multi-165 ······that·controls·which·axis·an·operation·is·performed·over·for·multi-
168 ······dimensional·arrays.166 ······dimensional·arrays.
169 In·[14]:·rng·=·np.random.default_rng()167 In·[14]:·rng·=·np.random.default_rng()
  
170 In·[15]:·a·=·np.arange(12).reshape((3,·4))168 In·[15]:·a·=·np.arange(12).reshape((3,·4))
  
Offset 180, 25 lines modifiedOffset 178, 25 lines modified
180 Out[16]:178 Out[16]:
181 array([[·0,··1,··2,··3],179 array([[·0,··1,··2,··3],
182 ·······[·4,··5,··6,··7],180 ·······[·4,··5,··6,··7],
183 ·······[·8,··9,·10,·11]])181 ·······[·8,··9,·10,·11]])
  
184 In·[17]:·rng.choice(a,·axis=1,·size=5)182 In·[17]:·rng.choice(a,·axis=1,·size=5)
185 Out[17]:183 Out[17]:
186 array([[·2,··0,··0,··2,··3],184 array([[·0,··0,··0,··3,··2],
187 ·······[·6,··4,··4,··6,··7],185 ·······[·4,··4,··4,··7,··6],
188 ·······[10,··8,··8,·10,·11]])186 ·······[·8,··8,··8,·11,·10]])
  
189 In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place187 In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place
  
190 In·[19]:·a188 In·[19]:·a
191 Out[19]:189 Out[19]:
192 array([[·0,··1,··2,··3],190 array([[·0,··3,··2,··1],
193 ·······[·4,··5,··6,··7],191 ·······[·4,··7,··6,··5],
194 ·······[·8,··9,·10,·11]])192 ·······[·8,·11,·10,··9]])
195 ····*·Added·a·method·to·sample·from·the·complex·normal·distribution193 ····*·Added·a·method·to·sample·from·the·complex·normal·distribution
196 ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l)194 ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l)
197 _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s195 _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s
198 _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n196 _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n
199 _\x8n_\x8e_\x8x_\x8t197 _\x8n_\x8e_\x8x_\x8t
200 _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e198 _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e
201 ©·Copyright·2008-2024,·NumPy·Developers.199 ©·Copyright·2008-2024,·NumPy·Developers.
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./usr/share/doc/python-numpy/html/reference/routines.polynomials.html
    
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592 <span·class="gp">In·[3]:·</span><span·class="n">y</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>·<span·class="o">+</span>·<span·class="n">rng</span><span·class="o">.</span><span·class="n">standard_normal</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>592 <span·class="gp">In·[3]:·</span><span·class="n">y</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>·<span·class="o">+</span>·<span·class="n">rng</span><span·class="o">.</span><span·class="n">standard_normal</span><span·class="p">(</span><span·class="mi">10</span><span·class="p">)</span>
593 </pre></div>593 </pre></div>
594 </div>594 </div>
595 <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1)595 <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1)
596 could·be·applied·to·these·data·with·<a·class="reference·internal"·href="generated/numpy.polyfit.html#numpy.polyfit"·title="numpy.polyfit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polyfit</span></code></a>:</p>596 could·be·applied·to·these·data·with·<a·class="reference·internal"·href="generated/numpy.polyfit.html#numpy.polyfit"·title="numpy.polyfit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polyfit</span></code></a>:</p>
597 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="n">np</span><span·class="o">.</span><span·class="n">polyfit</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">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>597 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[4]:·</span><span·class="n">np</span><span·class="o">.</span><span·class="n">polyfit</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">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>
598 <span·class="gh">Out[4]:·</span><span·class="go">array([0.83464379,·1.33582222])</span>598 <span·class="gh">Out[4]:·</span><span·class="go">array([0.95893001,·0.15955061])</span>
599 </pre></div>599 </pre></div>
600 </div>600 </div>
601 <p>With·the·new·polynomial·API,·the·<a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.fit.html#numpy.polynomial.polynomial.Polynomial.fit"·title="numpy.polynomial.polynomial.Polynomial.fit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">fit</span></code></a>601 <p>With·the·new·polynomial·API,·the·<a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.fit.html#numpy.polynomial.polynomial.Polynomial.fit"·title="numpy.polynomial.polynomial.Polynomial.fit"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">fit</span></code></a>
602 class·method·is·preferred:</p>602 class·method·is·preferred:</p>
603 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="n">p_fitted</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">polynomial</span><span·class="o">.</span><span·class="n">Polynomial</span><span·class="o">.</span><span·class="n">fit</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">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>603 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="n">p_fitted</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">polynomial</span><span·class="o">.</span><span·class="n">Polynomial</span><span·class="o">.</span><span·class="n">fit</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">deg</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span>
  
604 <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span>604 <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span>
605 <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([5.09171927,·3.75589705],·domain=[0.,·9.],·window=[-1.,··1.],·symbol=&#39;x&#39;)</span>605 <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4.47473567,·4.31518506],·domain=[0.,·9.],·window=[-1.,··1.],·symbol=&#39;x&#39;)</span>
606 </pre></div>606 </pre></div>
607 </div>607 </div>
608 <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the608 <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the
609 linear·mapping·between·the·<code·class="docutils·literal·notranslate"><span·class="pre">window</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">domain</span></code>.609 linear·mapping·between·the·<code·class="docutils·literal·notranslate"><span·class="pre">window</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">domain</span></code>.
610 <a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.convert.html#numpy.polynomial.polynomial.Polynomial.convert"·title="numpy.polynomial.polynomial.Polynomial.convert"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">convert</span></code></a>·can·be·used·to·get·the610 <a·class="reference·internal"·href="generated/numpy.polynomial.polynomial.Polynomial.convert.html#numpy.polynomial.polynomial.Polynomial.convert"·title="numpy.polynomial.polynomial.Polynomial.convert"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">convert</span></code></a>·can·be·used·to·get·the
611 coefficients·in·the·unscaled·data·domain.</p>611 coefficients·in·the·unscaled·data·domain.</p>
612 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[7]:·</span><span·class="n">p_fitted</span><span·class="o">.</span><span·class="n">convert</span><span·class="p">()</span>612 <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[7]:·</span><span·class="n">p_fitted</span><span·class="o">.</span><span·class="n">convert</span><span·class="p">()</span>
613 <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([1.33582222,·0.83464379],·domain=[-1.,··1.],·window=[-1.,··1.],·symbol=&#39;x&#39;)</span>613 <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([0.15955061,·0.95893001],·domain=[-1.,··1.],·window=[-1.,··1.],·symbol=&#39;x&#39;)</span>
614 </pre></div>614 </pre></div>
615 </div>615 </div>
616 </section>616 </section>
617 </section>617 </section>
618 <section·id="documentation-for-the-polynomial-package">618 <section·id="documentation-for-the-polynomial-package">
619 <h2>Documentation·for·the·<a·class="reference·internal"·href="routines.polynomials-package.html#module-numpy.polynomial"·title="numpy.polynomial"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polynomial</span></code></a>·package<a·class="headerlink"·href="#documentation-for-the-polynomial-package"·title="Link·to·this·heading">#</a></h2>619 <h2>Documentation·for·the·<a·class="reference·internal"·href="routines.polynomials-package.html#module-numpy.polynomial"·title="numpy.polynomial"><code·class="xref·py·py-obj·docutils·literal·notranslate"><span·class="pre">polynomial</span></code></a>·package<a·class="headerlink"·href="#documentation-for-the-polynomial-package"·title="Link·to·this·heading">#</a></h2>
620 <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package620 <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package
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150 In·[2]:·x·=·np.arange(10)150 In·[2]:·x·=·np.arange(10)
  
151 In·[3]:·y·=·np.arange(10)·+·rng.standard_normal(10)151 In·[3]:·y·=·np.arange(10)·+·rng.standard_normal(10)
152 With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1)152 With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1)
153 could·be·applied·to·these·data·with·_\x8p_\x8o_\x8l_\x8y_\x8f_\x8i_\x8t:153 could·be·applied·to·these·data·with·_\x8p_\x8o_\x8l_\x8y_\x8f_\x8i_\x8t:
154 In·[4]:·np.polyfit(x,·y,·deg=1)154 In·[4]:·np.polyfit(x,·y,·deg=1)
155 Out[4]:·array([0.83464379,·1.33582222])155 Out[4]:·array([0.95893001,·0.15955061])
156 With·the·new·polynomial·API,·the·_\x8f_\x8i_\x8t·class·method·is·preferred:156 With·the·new·polynomial·API,·the·_\x8f_\x8i_\x8t·class·method·is·preferred:
157 In·[5]:·p_fitted·=·np.polynomial.Polynomial.fit(x,·y,·deg=1)157 In·[5]:·p_fitted·=·np.polynomial.Polynomial.fit(x,·y,·deg=1)
  
158 In·[6]:·p_fitted158 In·[6]:·p_fitted
159 Out[6]:·Polynomial([5.09171927,·3.75589705],·domain=[0.,·9.],·window=[-1.,159 Out[6]:·Polynomial([4.47473567,·4.31518506],·domain=[0.,·9.],·window=[-1.,
160 1.],·symbol='x')160 1.],·symbol='x')
161 Note·that·the·coefficients·are·given·i\x8in\x8n·t\x8th\x8he\x8e·s\x8sc\x8ca\x8al\x8le\x8ed\x8d·d\x8do\x8om\x8ma\x8ai\x8in\x8n·defined·by·the·linear161 Note·that·the·coefficients·are·given·i\x8in\x8n·t\x8th\x8he\x8e·s\x8sc\x8ca\x8al\x8le\x8ed\x8d·d\x8do\x8om\x8ma\x8ai\x8in\x8n·defined·by·the·linear
162 mapping·between·the·window·and·domain.·_\x8c_\x8o_\x8n_\x8v_\x8e_\x8r_\x8t·can·be·used·to·get·the162 mapping·between·the·window·and·domain.·_\x8c_\x8o_\x8n_\x8v_\x8e_\x8r_\x8t·can·be·used·to·get·the
163 coefficients·in·the·unscaled·data·domain.163 coefficients·in·the·unscaled·data·domain.
164 In·[7]:·p_fitted.convert()164 In·[7]:·p_fitted.convert()
165 Out[7]:·Polynomial([1.33582222,·0.83464379],·domain=[-1.,··1.],·window=[-1.,165 Out[7]:·Polynomial([0.15955061,·0.95893001],·domain=[-1.,··1.],·window=[-1.,
166 1.],·symbol='x')166 1.],·symbol='x')
167 *\x8**\x8**\x8**\x8**\x8*·D\x8Do\x8oc\x8cu\x8um\x8me\x8en\x8nt\x8ta\x8at\x8ti\x8io\x8on\x8n·f\x8fo\x8or\x8r·t\x8th\x8he\x8e·_\x8p\x8p_\x8o\x8o_\x8l\x8l_\x8y\x8y_\x8n\x8n_\x8o\x8o_\x8m\x8m_\x8i\x8i_\x8a\x8a_\x8l\x8l·p\x8pa\x8ac\x8ck\x8ka\x8ag\x8ge\x8e_\x8#\x8#·*\x8**\x8**\x8**\x8**\x8*167 *\x8**\x8**\x8**\x8**\x8*·D\x8Do\x8oc\x8cu\x8um\x8me\x8en\x8nt\x8ta\x8at\x8ti\x8io\x8on\x8n·f\x8fo\x8or\x8r·t\x8th\x8he\x8e·_\x8p\x8p_\x8o\x8o_\x8l\x8l_\x8y\x8y_\x8n\x8n_\x8o\x8o_\x8m\x8m_\x8i\x8i_\x8a\x8a_\x8l\x8l·p\x8pa\x8ac\x8ck\x8ka\x8ag\x8ge\x8e_\x8#\x8#·*\x8**\x8**\x8**\x8**\x8*
168 In·addition·to·standard·power·series·polynomials,·the·polynomial·package168 In·addition·to·standard·power·series·polynomials,·the·polynomial·package
169 provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite169 provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite
170 (two·subtypes),·Laguerre,·and·Legendre·polynomials.·Each·of·these·has·an170 (two·subtypes),·Laguerre,·and·Legendre·polynomials.·Each·of·these·has·an
171 associated·c\x8co\x8on\x8nv\x8ve\x8en\x8ni\x8ie\x8en\x8nc\x8ce\x8e·c\x8cl\x8la\x8as\x8ss\x8s·available·from·the·_\x8n_\x8u_\x8m_\x8p_\x8y_\x8._\x8p_\x8o_\x8l_\x8y_\x8n_\x8o_\x8m_\x8i_\x8a_\x8l·namespace·that171 associated·c\x8co\x8on\x8nv\x8ve\x8en\x8ni\x8ie\x8en\x8nc\x8ce\x8e·c\x8cl\x8la\x8as\x8ss\x8s·available·from·the·_\x8n_\x8u_\x8m_\x8p_\x8y_\x8._\x8p_\x8o_\x8l_\x8y_\x8n_\x8o_\x8m_\x8i_\x8a_\x8l·namespace·that
172 provides·a·consistent·interface·for·working·with·polynomials·regardless·of172 provides·a·consistent·interface·for·working·with·polynomials·regardless·of
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./usr/share/doc/python-numpy/html/searchindex.js
55.6 KB
js-beautify {}
    
Offset 32284, 15 lines modifiedOffset 32284, 15 lines modified
32284 ········"00578369":·1752,32284 ········"00578369":·1752,
32285 ········"00625":·1583,32285 ········"00625":·1583,
32286 ········"007000999997857":·1539,32286 ········"007000999997857":·1539,
32287 ········"00867716":·[2316,·2360,·2407],32287 ········"00867716":·[2316,·2360,·2407],
32288 ········"00950034":·[2336,·2349,·2379,·2386,·2396,·2426,·2433,·2446],32288 ········"00950034":·[2336,·2349,·2379,·2386,·2396,·2426,·2433,·2446],
32289 ········"009a87ff44bf":·42,32289 ········"009a87ff44bf":·42,
32290 ········"00j":·[523,·641,·2165],32290 ········"00j":·[523,·641,·2165],
32291 ········"01":·[41,·42,·45,·54,·55,·62,·156,·171,·172,·173,·344,·370,·419,·523,·556,·566,·575,·668,·896,·1087,·1093,·1584,·1592,·1599,·1656,·1713,·1770,·1827,·1883,·2102,·2158,·2320,·2326,·2364,·2370,·2411,·2417,·2458,·2522,·2650],32291 ········"01":·[41,·42,·45,·54,·55,·62,·156,·171,·172,·173,·344,·370,·419,·523,·556,·566,·575,·668,·896,·1087,·1093,·1584,·1592,·1599,·1656,·1713,·1770,·1827,·1883,·2102,·2158,·2320,·2326,·2364,·2370,·2411,·2417,·2522,·2650],
32292 ········"010":·[652,·1600,·1657,·1714,·1771,·1828,·1884],32292 ········"010":·[652,·1600,·1657,·1714,·1771,·1828,·1884],
32293 ········"0100":·1517,32293 ········"0100":·1517,
32294 ········"01041667":·1583,32294 ········"01041667":·1583,
32295 ········"011":·[1600,·1657,·1714,·1771,·1828,·1884],32295 ········"011":·[1600,·1657,·1714,·1771,·1828,·1884],
32296 ········"012":·[1600,·1657,·1714,·1771,·1828,·1884],32296 ········"012":·[1600,·1657,·1714,·1771,·1828,·1884],
32297 ········"0123456789":·[312,·2130],32297 ········"0123456789":·[312,·2130],
32298 ········"01280782":·[2332,·2375,·2422],32298 ········"01280782":·[2332,·2375,·2422],
Offset 32331, 15 lines modifiedOffset 32331, 15 lines modified
32331 ········"04":·[54,·55,·173,·419,·556,·1584,·2460,·2591,·2651],32331 ········"04":·[54,·55,·173,·419,·556,·1584,·2460,·2591,·2651],
32332 ········"0400":·369,32332 ········"0400":·369,
32333 ········"04097352":·2627,32333 ········"04097352":·2627,
32334 ········"04166667":·[1542,·1583],32334 ········"04166667":·[1542,·1583],
32335 ········"04211c6":·2518,32335 ········"04211c6":·2518,
32336 ········"04551152e":·2102,32336 ········"04551152e":·2102,
32337 ········"04719755":·1909,32337 ········"04719755":·1909,
32338 ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447,·2458],32338 ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447],
32339 ········"0500":·369,32339 ········"0500":·369,
32340 ········"05093587":·2627,32340 ········"05093587":·2627,
32341 ········"05208333":·1583,32341 ········"05208333":·1583,
32342 ········"05263157894736836":·2254,32342 ········"05263157894736836":·2254,
32343 ········"0549999999999997":·2081,32343 ········"0549999999999997":·2081,
32344 ········"055":·2081,32344 ········"055":·2081,
32345 ········"0596779":·1152,32345 ········"0596779":·1152,
Offset 32352, 29 lines modifiedOffset 32352, 28 lines modified
32352 ········"06959433e":·[429,·946],32352 ········"06959433e":·[429,·946],
32353 ········"07":·[55,·173,·556,·895,·896,·1333,·2168,·2505],32353 ········"07":·[55,·173,·556,·895,·896,·1333,·2168,·2505],
32354 ········"07106781e":·523,32354 ········"07106781e":·523,
32355 ········"07407407":·1807,32355 ········"07407407":·1807,
32356 ········"07779185":·2455,32356 ········"07779185":·2455,
32357 ········"07937323":·533,32357 ········"07937323":·533,
32358 ········"07944154":·[656,·2647],32358 ········"07944154":·[656,·2647],
32359 ········"08":·[55,·100,·156,·419,·532,·557,·895,·1094,·2319,·2363,·2410,·2522,·2651],32359 ········"08":·[55,·100,·156,·419,·532,·557,·895,·1094,·2319,·2363,·2410,·2458,·2522,·2651],
32360 ········"0800":·2522,32360 ········"0800":·2522,
32361 ········"08187135":·54,32361 ········"08187135":·54,
32362 ········"08333333":·[1643,·1869],32362 ········"08333333":·[1643,·1869],
32363 ········"08405657":·1865,32363 ········"08405657":·1865,
32364 ········"0855":·2634,32364 ········"0855":·2634,
32365 ········"08553692":·38,32365 ········"08553692":·38,
32366 ········"085537":·2634,32366 ········"085537":·2634,
32367 ········"0856306":·1153,32367 ········"0856306":·1153,
32368 ········"08618131":·1524,32368 ········"08618131":·1524,
32369 ········"08703704":·[1112,·1541],32369 ········"08703704":·[1112,·1541],
32370 ········"087300000000000003":·[2343,·2389,·2438],32370 ········"087300000000000003":·[2343,·2389,·2438],
32371 ········"09":·[55,·2169,·2320,·2364,·2411],32371 ········"09":·[55,·2169,·2320,·2364,·2411],
32372 ········"090097550553843":·2634,32372 ········"090097550553843":·2634,
32373 ········"09171927":·2485, 
32374 ········"09417735":·[358,·2454,·2631],32373 ········"09417735":·[358,·2454,·2631],
32375 ········"0943951":·1909,32374 ········"0943951":·1909,
32376 ········"09640474436813":·674,32375 ········"09640474436813":·674,
32377 ········"09861229":·[656,·2647],32376 ········"09861229":·[656,·2647],
32378 ········"0999755859375":·62,32377 ········"0999755859375":·62,
32379 ········"099975586":·62,32378 ········"099975586":·62,
32380 ········"0a1":·586,32379 ········"0a1":·586,
Offset 32532, 15 lines modifiedOffset 32531, 15 lines modified
32532 ········"10_qbz5n2kfra8p0":·42,32531 ········"10_qbz5n2kfra8p0":·42,
32533 ········"10j":·2657,32532 ········"10j":·2657,
32534 ········"10n":·2333,32533 ········"10n":·2333,
32535 ········"10th":·[96,·97,·109,·110,·111,·112,·113,·115,·134,·135,·138,·140,·542,·669,·670,·671],32534 ········"10th":·[96,·97,·109,·110,·111,·112,·113,·115,·134,·135,·138,·140,·542,·669,·670,·671],
32536 ········"10x":·[2591,·2599,·2613,·2619],32535 ········"10x":·[2591,·2599,·2613,·2619],
32537 ········"10x100":·651,32536 ········"10x100":·651,
32538 ········"11":·[8,·38,·42,·47,·54,·55,·58,·59,·60,·61,·62,·73,·79,·107,·116,·117,·144,·146,·147,·149,·150,·259,·279,·305,·345,·363,·373,·375,·376,·384,·444,·522,·529,·535,·539,·627,·652,·663,·668,·879,·892,·904,·940,·962,·1068,·1082,·1106,·1113,·1121,·1122,·1123,·1130,·1142,·1158,·1159,·1160,·1163,·1165,·1166,·1192,·1193,·1194,·1203,·1204,·1205,·1211,·1212,·1217,·1227,·1228,·1235,·1239,·1245,·1247,·1299,·1310,·1331,·1453,·1464,·1508,·1555,·1578,·1599,·1616,·1638,·1642,·1652,·1654,·1656,·1673,·1695,·1713,·1730,·1752,·1757,·1760,·1770,·1787,·1809,·1816,·1827,·1844,·1865,·1883,·1910,·1973,·1984,·2078,·2081,·2087,·2089,·2113,·2123,·2178,·2182,·2202,·2203,·2204,·2206,·2207,·2208,·2223,·2235,·2238,·2243,·2245,·2313,·2330,·2333,·2339,·2350,·2358,·2374,·2376,·2385,·2387,·2397,·2405,·2421,·2423,·2432,·2435,·2447,·2454,·2458,·2488,·2510,·2516,·2517,·2519,·2532,·2536,·2544,·2551,·2557,·2568,·2573,·2574,·2575,·2576,·2577,·2578,·2584,·2585,·2587,·2588,·2589,·2590,·2591,·2592,·2593,·2594,·2595,·2596,·2597,·2598,·2599,·2619,·2624,·2627,·2629,·2630,·2633,·2637,·2640,·2649,·2657,·2658],32537 ········"11":·[8,·38,·42,·47,·54,·55,·58,·59,·60,·61,·62,·73,·79,·107,·116,·117,·144,·146,·147,·149,·150,·259,·279,·305,·345,·363,·373,·375,·376,·384,·444,·522,·529,·535,·539,·627,·652,·663,·668,·879,·892,·904,·940,·962,·1068,·1082,·1106,·1113,·1121,·1122,·1123,·1130,·1142,·1158,·1159,·1160,·1163,·1165,·1166,·1192,·1193,·1194,·1203,·1204,·1205,·1211,·1212,·1217,·1227,·1228,·1235,·1239,·1245,·1247,·1299,·1310,·1331,·1453,·1464,·1508,·1555,·1578,·1599,·1616,·1638,·1642,·1652,·1654,·1656,·1673,·1695,·1713,·1730,·1752,·1757,·1760,·1770,·1787,·1809,·1816,·1827,·1844,·1865,·1883,·1910,·1973,·1984,·2078,·2081,·2087,·2089,·2113,·2123,·2178,·2182,·2202,·2203,·2204,·2206,·2207,·2208,·2223,·2235,·2238,·2243,·2245,·2313,·2330,·2333,·2339,·2350,·2358,·2374,·2376,·2385,·2387,·2397,·2405,·2421,·2423,·2432,·2435,·2447,·2454,·2458,·2488,·2510,·2516,·2517,·2519,·2532,·2536,·2544,·2551,·2557,·2568,·2573,·2574,·2575,·2576,·2577,·2578,·2584,·2585,·2587,·2588,·2589,·2590,·2591,·2592,·2593,·2594,·2595,·2596,·2597,·2598,·2599,·2619,·2624,·2627,·2629,·2630,·2633,·2637,·2640,·2649,·2657,·2658],
32539 ········"110":·[38,·145,·418,·532,·551,·967,·968,·2658],32538 ········"110":·[38,·145,·418,·532,·551,·967,·968,·2458,·2658],
32540 ········"1100":·[149,·1517],32539 ········"1100":·[149,·1517],
32541 ········"1101":·2460,32540 ········"1101":·2460,
32542 ········"1109":·466,32541 ········"1109":·466,
32543 ········"110m":·418,32542 ········"110m":·418,
32544 ········"111":·[2460,·2629],32543 ········"111":·[2460,·2629],
32545 ········"11100":·155,32544 ········"11100":·155,
32546 ········"11101":·[147,·153],32545 ········"11101":·[147,·153],
Offset 32665, 15 lines modifiedOffset 32664, 15 lines modified
32665 ········"123456789a12":·25,32664 ········"123456789a12":·25,
32666 ········"123456789a123456789b":·25,32665 ········"123456789a123456789b":·25,
32667 ········"1234567e":·2170,32666 ········"1234567e":·2170,
32668 ········"12346":·2459,32667 ········"12346":·2459,
32669 ········"1235":·2089,32668 ········"1235":·2089,
32670 ········"123abc":·[311,·314,·2129,·2132],32669 ········"123abc":·[311,·314,·2129,·2132],
32671 ········"124":·[107,·904],32670 ········"124":·[107,·904],
32672 ········"125":·[479,·659,·1113,·1141,·1643,·1649,·1897,·1898,·2237,·2336,·2379,·2426,·2457,·2488,·2651,·2658],32671 ········"125":·[479,·659,·1113,·1141,·1643,·1649,·1897,·1898,·2237,·2336,·2379,·2426,·2457,·2458,·2488,·2651,·2658],
32673 ········"12589991e":·644,32672 ········"12589991e":·644,
32674 ········"126":·[862,·1047,·1115,·1902],32673 ········"126":·[862,·1047,·1115,·1902],
32675 ········"1261":·2609,32674 ········"1261":·2609,
32676 ········"12658":·2557,32675 ········"12658":·2557,
32677 ········"12697628":·2627,32676 ········"12697628":·2627,
32678 ········"127":·[62,·66,·523,·862,·1047,·1101,·1115,·1902,·2298,·2299,·2459,·2460,·2461,·2580,·2631],32677 ········"127":·[62,·66,·523,·862,·1047,·1101,·1115,·1902,·2298,·2299,·2459,·2460,·2461,·2580,·2631],
32679 ········"12736":·[2545,·2546],32678 ········"12736":·[2545,·2546],
Offset 32745, 23 lines modifiedOffset 32744, 23 lines modified
32745 ········"13823":·2549,32744 ········"13823":·2549,
32746 ········"13829":·2557,32745 ········"13829":·2557,
32747 ········"1383":·2609,32746 ········"1383":·2609,
32748 ········"13845":·2549,32747 ········"13845":·2549,
32749 ········"13867":·2549,32748 ········"13867":·2549,
32750 ········"1387":·2609,32749 ········"1387":·2609,
32751 ········"13899":·2557,32750 ········"13899":·2557,
32752 ········"139":·[654,·2458],32751 ········"139":·654,
32753 ········"13905":·2549,32752 ········"13905":·2549,
32754 ········"13933":·2549,32753 ········"13933":·2549,
32755 ········"13984":·2549,32754 ········"13984":·2549,
32756 ········"13994":·2549,32755 ········"13994":·2549,
32757 ········"13d7934":·13,32756 ········"13d7934":·13,
32758 ········"13j":·1913,32757 ········"13j":·1913,
32759 ········"14":·[9,·47,·54,·55,·56,·57,·58,·59,·107,·116,·117,·123,·149,·150,·151,·279,·375,·376,·384,·445,·469,·485,·494,·495,·522,·539,·551,·553,·555,·575,·644,·649,·654,·668,·879,·892,·904,·962,·967,·968,·1068,·1082,·1142,·1149,·1228,·1245,·1310,·1464,·1563,·1575,·1584,·1693,·1702,·1709,·1756,·1762,·1865,·1871,·1984,·2084,·2087,·2089,·2113,·2203,·2204,·2206,·2207,·2208,·2220,·2222,·2223,·2235,·2238,·2243,·2330,·2335,·2339,·2374,·2378,·2382,·2421,·2425,·2429,·2454,·2458,·2460,·2487,·2510,·2516,·2528,·2539,·2540,·2541,·2542,·2543,·2544,·2550,·2551,·2556,·2557,·2558,·2563,·2569,·2573,·2580,·2581,·2582,·2583,·2585,·2588,·2593,·2596,·2597,·2619,·2624,·2627,·2630,·2633,·2637,·2645,·2649,·2651,·2658],32758 ········"14":·[9,·47,·54,·55,·56,·57,·58,·59,·107,·116,·117,·123,·149,·150,·151,·279,·375,·376,·384,·445,·469,·485,·494,·495,·522,·539,·551,·553,·555,·575,·644,·649,·654,·668,·879,·892,·904,·962,·967,·968,·1068,·1082,·1142,·1149,·1228,·1245,·1310,·1464,·1563,·1575,·1584,·1693,·1702,·1709,·1756,·1762,·1865,·1871,·1984,·2084,·2087,·2089,·2113,·2203,·2204,·2206,·2207,·2208,·2220,·2222,·2223,·2235,·2238,·2243,·2330,·2335,·2339,·2374,·2378,·2382,·2421,·2425,·2429,·2454,·2458,·2460,·2487,·2510,·2516,·2528,·2539,·2540,·2541,·2542,·2543,·2544,·2550,·2551,·2556,·2557,·2558,·2563,·2569,·2573,·2580,·2581,·2582,·2583,·2585,·2588,·2593,·2596,·2597,·2619,·2624,·2627,·2630,·2633,·2637,·2645,·2649,·2651,·2658],
32760 ········"140":·[2236,·2573],32759 ········"140":·[2236,·2458,·2573],
32761 ········"14022471":·[2384,·2431],32760 ········"14022471":·[2384,·2431],
32762 ········"14036":·2557,32761 ········"14036":·2557,
32763 ········"14039":·2557,32762 ········"14039":·2557,
32764 ········"14042":·2549,32763 ········"14042":·2549,
32765 ········"14043":·2549,32764 ········"14043":·2549,
32766 ········"14044":·2549,32765 ········"14044":·2549,
32767 ········"14045":·2549,32766 ········"14045":·2549,
Offset 32928, 15 lines modifiedOffset 32927, 15 lines modified
32928 ········"1500000":·2627,32927 ········"1500000":·2627,
32929 ········"15006":·2585,32928 ········"15006":·2585,
32930 ········"15012":·2557,32929 ········"15012":·2557,
32931 ········"15028c96":·2660,32930 ········"15028c96":·2660,
32932 ········"15038":·2556,32931 ········"15038":·2556,
32933 ········"15067":·2556,32932 ········"15067":·2556,
32934 ········"15068":·2557,32933 ········"15068":·2557,
32935 ········"151":·[2355,·2402,·2452,·2460],32934 ········"151":·[2355,·2402,·2452,·2458,·2460],
32936 ········"15113":·2557,32935 ········"15113":·2557,
Max diff block lines reached; 50042/56869 bytes (88.00%) of diff not shown.