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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">4.44·ms·+-·77.1·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 527 | <span·class="go">6. | 526 | <span·class="go">6.82·ms·+-·140·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 527 | <span·class="go">16.9·ms·+-·4.1·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 528 | </pre></div> | 528 | </pre></div> |
| 529 | </div> | 529 | </div> |
| 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) | 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) |
| 531 | <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) |
| 532 | <span·class="gp">···...:·</span> | 532 | <span·class="gp">···...:·</span> |
| 533 | <span·class="go"> | 533 | <span·class="go">5.62·ms·+-·147·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 534 | <span·class="go"> | 534 | <span·class="go">16.2·ms·+-·204·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 535 | </pre></div> | 535 | </pre></div> |
| 536 | </div> | 536 | </div> |
| 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) | 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) |
| 538 | <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) |
| 539 | <span·class="gp">···...:·</span> | 539 | <span·class="gp">···...:·</span> |
| 540 | <span·class="go"> | 540 | <span·class="go">28.5·ms·+-·178·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 541 | <span·class="go"> | 541 | <span·class="go">33.4·ms·+-·211·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 542 | </pre></div> | 542 | </pre></div> |
| 543 | </div> | 543 | </div> |
| 544 | <ul·class="simple"> | 544 | <ul·class="simple"> |
| 545 | <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 | 545 | <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 |
| 546 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both | 546 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both |
| 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> | 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> |
| 548 | <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 | 548 | <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 |
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| 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> | 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> |
| 572 | </ul> | 572 | </ul> |
| 573 | </li> | 573 | </li> |
| 574 | </ul> | 574 | </ul> |
| 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> | 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> |
| 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> | 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> |
| 577 | <span·class="gh">Out[7]:·</span><span·class="go">array([0. | 577 | <span·class="gh">Out[7]:·</span><span·class="go">array([0.52142238,·0.27307693,·0.16662583])</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> | 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> |
| 579 | <span·class="gh">Out[8]:·</span><span·class="go">array([0. | 579 | <span·class="gh">Out[8]:·</span><span·class="go">array([0.4137339·,·0.36163253,·0.53980225],·dtype=float32)</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> | 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> |
| 581 | <span·class="gh">Out[9]:·</span><span·class="go">array([ | 581 | <span·class="gh">Out[9]:·</span><span·class="go">array([·52,·142,·171],·dtype=uint8)</span> |
| 582 | </pre></div> | 582 | </pre></div> |
| 583 | </div> | 583 | </div> |
| 584 | <ul> | 584 | <ul> |
| 585 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for | 585 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for |
| 586 | select·distributions</p> | 586 | select·distributions</p> |
| 587 | <ul·class="simple"> | 587 | <ul·class="simple"> |
| 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> | 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 598, 18 lines modified | Offset 598, 18 lines modified | ||
| 598 | </li> | 598 | </li> |
| 599 | </ul> | 599 | </ul> |
| 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> | 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> |
| 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> | 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> |
| 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> | 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> |
| 603 | <span·class="gh">Out[12]:·</span><span·class="go">array([0. | 603 | <span·class="gh">Out[12]:·</span><span·class="go">array([0.36011562,·0.70817669])</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> | 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> |
| 605 | <span·class="go">[0. | 605 | <span·class="go">[0.36011562·0.70817669·0.·········0.········]</span> |
| 606 | </pre></div> | 606 | </pre></div> |
| 607 | </div> | 607 | </div> |
| 608 | <ul·class="simple"> | 608 | <ul·class="simple"> |
| 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>, | 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>, |
| 610 | <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 | 610 | <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 |
| 611 | 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> |
| 612 | </ul> | 612 | </ul> |
| Offset 621, 25 lines modified | Offset 621, 25 lines modified | ||
| 621 | <span·class="gh">Out[16]:·</span> | 621 | <span·class="gh">Out[16]:·</span> |
| 622 | <span·class="go">array([[·0,··1,··2,··3],</span> | 622 | <span·class="go">array([[·0,··1,··2,··3],</span> |
| 623 | <span·class="go">·······[·4,··5,··6,··7],</span> | 623 | <span·class="go">·······[·4,··5,··6,··7],</span> |
| 624 | <span·class="go">·······[·8,··9,·10,·11]])</span> | 624 | <span·class="go">·······[·8,··9,·10,·11]])</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> | 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> |
| 626 | <span·class="gh">Out[17]:·</span> | 626 | <span·class="gh">Out[17]:·</span> |
| 627 | <span·class="go">array([[· | 627 | <span·class="go">array([[·3,··2,··1,··2,··0],</span> |
| 628 | <span·class="go">·······[· | 628 | <span·class="go">·······[·7,··6,··5,··6,··4],</span> |
| 629 | <span·class="go">·······[ | 629 | <span·class="go">·······[11,·10,··9,·10,··8]])</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> | 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> |
| 631 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> | 631 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> |
| 632 | <span·class="gh">Out[19]:·</span> | 632 | <span·class="gh">Out[19]:·</span> |
| 633 | <span·class="go">array([[·1,··0,·· | 633 | <span·class="go">array([[·1,··0,··3,··2],</span> |
| 634 | <span·class="go">·······[·5,··4,·· | 634 | <span·class="go">·······[·5,··4,··7,··6],</span> |
| 635 | <span·class="go">·······[·9,··8,·1 | 635 | <span·class="go">·······[·9,··8,·11,·10]])</span> |
| 636 | </pre></div> | 636 | </pre></div> |
| 637 | </div> | 637 | </div> |
| 638 | <ul·class="simple"> | 638 | <ul·class="simple"> |
| 639 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution | 639 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution |
| 640 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> | 640 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> |
| 641 | </ul> | 641 | </ul> |
| 642 | </section> | 642 | </section> |
| Offset 101, 26 lines modified | Offset 101, 26 lines modified | ||
| 101 | In·[1]:·import·numpy.random | 101 | 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 | 4.44·ms·+-·77.1·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 107 | 6. | 106 | 6.82·ms·+-·140·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 107 | 16.9·ms·+-·4.1·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 108 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) | 108 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) |
| 109 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) | 109 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) |
| 110 | ···...: | 110 | ···...: |
| 111 | 111 | 5.62·ms·+-·147·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 112 | 112 | 16.2·ms·+-·204·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 113 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) | 113 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) |
| 114 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) | 114 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) |
| 115 | ···...: | 115 | ···...: |
| 116 | 116 | 28.5·ms·+-·178·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 117 | 117 | 33.4·ms·+-·211·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 118 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from | 118 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from |
| 119 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the | 119 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the |
| 120 | ······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. |
| 121 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy | 121 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy |
| 122 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. | 122 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. |
| 123 | ····*·_\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 | 123 | ····*·_\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 |
| 124 | ······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 | 124 | ······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 139, 38 lines modified | Offset 139, 38 lines modified | ||
| 139 | ··········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) |
| 140 | ··········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) |
| 141 | ··········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) |
| 142 | ··········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) |
| 143 | In·[6]:·rng·=·np.random.default_rng() | 143 | In·[6]:·rng·=·np.random.default_rng() |
| 144 | In·[7]:·rng.random(3,·dtype=np.float64) | 144 | In·[7]:·rng.random(3,·dtype=np.float64) |
| 145 | Out[7]:·array([0. | 145 | Out[7]:·array([0.52142238,·0.27307693,·0.16662583]) |
| 146 | In·[8]:·rng.random(3,·dtype=np.float32) | 146 | In·[8]:·rng.random(3,·dtype=np.float32) |
| 147 | Out[8]:·array([0. | 147 | Out[8]:·array([0.4137339·,·0.36163253,·0.53980225],·dtype=float32) |
| 148 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) | 148 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) |
| 149 | Out[9]:·array([ | 149 | Out[9]:·array([·52,·142,·171],·dtype=uint8) |
| 150 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select | 150 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select |
| 151 | ······distributions | 151 | ······distributions |
| 152 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) | 152 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) |
| 153 | ··········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) |
| 154 | ··········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) |
| 155 | ··········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) |
| 156 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable | 156 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable |
| 157 | ······BitGenerators·in·parallel. | 157 | ······BitGenerators·in·parallel. |
| 158 | In·[10]:·rng·=·np.random.default_rng() | 158 | In·[10]:·rng·=·np.random.default_rng() |
| 159 | In·[11]:·existing·=·np.zeros(4) | 159 | In·[11]:·existing·=·np.zeros(4) |
| 160 | In·[12]:·rng.random(out=existing[:2]) | 160 | In·[12]:·rng.random(out=existing[:2]) |
| 161 | Out[12]:·array([0. | 161 | Out[12]:·array([0.36011562,·0.70817669]) |
| 162 | In·[13]:·print(existing) | 162 | In·[13]:·print(existing) |
| 163 | [0. | 163 | [0.36011562·0.70817669·0.·········0.········] |
| 164 | ····*·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 | 164 | ····*·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 |
| 165 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- | 165 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- |
| 166 | ······dimensional·arrays. | 166 | ······dimensional·arrays. |
| 167 | In·[14]:·rng·=·np.random.default_rng() | 167 | In·[14]:·rng·=·np.random.default_rng() |
| 168 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) | 168 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) |
| Offset 178, 25 lines modified | Offset 178, 25 lines modified | ||
| 178 | Out[16]: | 178 | Out[16]: |
| 179 | array([[·0,··1,··2,··3], | 179 | array([[·0,··1,··2,··3], |
| 180 | ·······[·4,··5,··6,··7], | 180 | ·······[·4,··5,··6,··7], |
| 181 | ·······[·8,··9,·10,·11]]) | 181 | ·······[·8,··9,·10,·11]]) |
| 182 | In·[17]:·rng.choice(a,·axis=1,·size=5) | 182 | In·[17]:·rng.choice(a,·axis=1,·size=5) |
| 183 | Out[17]: | 183 | Out[17]: |
| 184 | array([[· | 184 | array([[·3,··2,··1,··2,··0], |
| 185 | ·······[· | 185 | ·······[·7,··6,··5,··6,··4], |
| 186 | ·······[ | 186 | ·······[11,·10,··9,·10,··8]]) |
| 187 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place | 187 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place |
| 188 | In·[19]:·a | 188 | In·[19]:·a |
| 189 | Out[19]: | 189 | Out[19]: |
| 190 | array([[·1,··0,·· | 190 | array([[·1,··0,··3,··2], |
| 191 | ·······[·5,··4,·· | 191 | ·······[·5,··4,··7,··6], |
| 192 | ·······[·9,··8,·1 | 192 | ·······[·9,··8,·11,·10]]) |
| 193 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution | 193 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution |
| 194 | ······(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) |
| 195 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s | 195 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s |
| 196 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n | 196 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n |
| 197 | _\x8n_\x8e_\x8x_\x8t | 197 | _\x8n_\x8e_\x8x_\x8t |
| 198 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e | 198 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e |
| 199 | ©·Copyright·2008-2024,·NumPy·Developers. | 199 | ©·Copyright·2008-2024,·NumPy·Developers. |
| Offset 592, 31 lines modified | Offset 592, 31 lines modified | ||
| 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([ | 598 | <span·class="gh">Out[4]:·</span><span·class="go">array([0.94495158,·0.4044994·])</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([4. | 605 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4.65678152,·4.25228213],·domain=[0.,·9.],·window=[-1.,··1.],·symbol='x')</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·the | 608 | <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·the | 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·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([0. | 613 | <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([0.4044994·,·0.94495158],·domain=[-1.,··1.],·window=[-1.,··1.],·symbol='x')</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·package | 620 | <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package |
| Offset 150, 26 lines modified | Offset 150, 26 lines modified | ||
| 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([ | 155 | Out[4]:·array([0.94495158,·0.4044994·]) |
| 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_fitted | 158 | In·[6]:·p_fitted |
| 159 | Out[6]:·Polynomial([4. | 159 | Out[6]:·Polynomial([4.65678152,·4.25228213],·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·linear | 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·linear |
| 162 | mapping·between·the·window·and·domain.·_\x8c_\x8o_\x8n_\x8v_\x8e_\x8r_\x8t·can·be·used·to·get·the | 162 | 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([0. | 165 | Out[7]:·Polynomial([0.4044994·,·0.94495158],·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·package | 168 | In·addition·to·standard·power·series·polynomials,·the·polynomial·package |
| 169 | provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite | 169 | provides·several·additional·kinds·of·polynomials·including·Chebyshev,·Hermite |
| 170 | (two·subtypes),·Laguerre,·and·Legendre·polynomials.·Each·of·these·has·an | 170 | (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·that | 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·that |
| 172 | provides·a·consistent·interface·for·working·with·polynomials·regardless·of | 172 | provides·a·consistent·interface·for·working·with·polynomials·regardless·of |
| Offset 32296, 15 lines modified | Offset 32296, 14 lines modified | ||
| 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], |
| 32299 | ········"016":·[647,·652], | 32299 | ········"016":·[647,·652], |
| 32300 | ········"01652764":·2627, | 32300 | ········"01652764":·2627, |
| 32301 | ········"01666667":·1542, | 32301 | ········"01666667":·1542, |
| 32302 | ········"016j":·2103, | 32302 | ········"016j":·2103, |
| 32303 | ········"01827687":·2458, | ||
| 32304 | ········"01831564":·1658, | 32303 | ········"01831564":·1658, |
| 32305 | ········"018318":·[2350,·2397,·2447], | 32304 | ········"018318":·[2350,·2397,·2447], |
| 32306 | ········"01j":·523, | 32305 | ········"01j":·523, |
| 32307 | ········"01t00":·[55,·62,·370,·2522], | 32306 | ········"01t00":·[55,·62,·370,·2522], |
| 32308 | ········"01t08":·2522, | 32307 | ········"01t08":·2522, |
| 32309 | ········"01t12":·55, | 32308 | ········"01t12":·55, |
| 32310 | ········"02":·[54,·55,·156,·171,·172,·419,·556,·575,·668,·1333,·1584,·1599,·1656,·1713,·1770,·1814,·1827,·1883,·2102], | 32309 | ········"02":·[54,·55,·156,·171,·172,·419,·556,·575,·668,·1333,·1584,·1599,·1656,·1713,·1770,·1814,·1827,·1883,·2102], |
| Offset 32327, 15 lines modified | Offset 32326, 14 lines modified | ||
| 32327 | ········"03703704":·1807, | 32326 | ········"03703704":·1807, |
| 32328 | ········"03943254e":·2102, | 32327 | ········"03943254e":·2102, |
| 32329 | ········"03968254":·[1112,·1541], | 32328 | ········"03968254":·[1112,·1541], |
| 32330 | ········"0396842":·679, | 32329 | ········"0396842":·679, |
| 32331 | ········"03t13":·55, | 32330 | ········"03t13":·55, |
| 32332 | ········"04":·[54,·55,·173,·419,·556,·1584,·2460,·2591,·2651], | 32331 | ········"04":·[54,·55,·173,·419,·556,·1584,·2460,·2591,·2651], |
| 32333 | ········"0400":·369, | 32332 | ········"0400":·369, |
| 32334 | ········"04049332":·2485, | ||
| 32335 | ········"04097352":·2627, | 32333 | ········"04097352":·2627, |
| 32336 | ········"04166667":·[1542,·1583], | 32334 | ········"04166667":·[1542,·1583], |
| 32337 | ········"04211c6":·2518, | 32335 | ········"04211c6":·2518, |
| 32338 | ········"04551152e":·2102, | 32336 | ········"04551152e":·2102, |
| 32339 | ········"04719755":·1909, | 32337 | ········"04719755":·1909, |
| 32340 | ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447], | 32338 | ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447], |
| 32341 | ········"0500":·369, | 32339 | ········"0500":·369, |
| Offset 32344, 15 lines modified | Offset 32342, 14 lines modified | ||
| 32344 | ········"05263157894736836":·2254, | 32342 | ········"05263157894736836":·2254, |
| 32345 | ········"0549999999999997":·2081, | 32343 | ········"0549999999999997":·2081, |
| 32346 | ········"055":·2081, | 32344 | ········"055":·2081, |
| 32347 | ········"0596779":·1152, | 32345 | ········"0596779":·1152, |
| 32348 | ········"06":·[55,·575,·2081,·2505], | 32346 | ········"06":·[55,·575,·2081,·2505], |
| 32349 | ········"0614962j":·[448,·462], | 32347 | ········"0614962j":·[448,·462], |
| 32350 | ········"0625":·[87,·427,·1643], | 32348 | ········"0625":·[87,·427,·1643], |
| 32351 | ········"06296438":·2458, | ||
| 32352 | ········"06369197489564249":·2455, | 32349 | ········"06369197489564249":·2455, |
| 32353 | ········"06381726":·358, | 32350 | ········"06381726":·358, |
| 32354 | ········"0660":·[311,·2129], | 32351 | ········"0660":·[311,·2129], |
| 32355 | ········"06959433e":·[429,·946], | 32352 | ········"06959433e":·[429,·946], |
| 32356 | ········"07":·[55,·173,·556,·895,·896,·1333,·2168,·2505], | 32353 | ········"07":·[55,·173,·556,·895,·896,·1333,·2168,·2505], |
| 32357 | ········"07106781e":·523, | 32354 | ········"07106781e":·523, |
| 32358 | ········"07407407":·1807, | 32355 | ········"07407407":·1807, |
| Offset 32755, 15 lines modified | Offset 32752, 15 lines modified | ||
| 32755 | ········"13905":·2549, | 32752 | ········"13905":·2549, |
| 32756 | ········"13933":·2549, | 32753 | ········"13933":·2549, |
| 32757 | ········"13984":·2549, | 32754 | ········"13984":·2549, |
| 32758 | ········"13994":·2549, | 32755 | ········"13994":·2549, |
| 32759 | ········"13d7934":·13, | 32756 | ········"13d7934":·13, |
| 32760 | ········"13j":·1913, | 32757 | ········"13j":·1913, |
| 32761 | ········"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], |
| 32762 | ········"140":·[2236,·2573], | 32759 | ········"140":·[2236,·2458,·2573], |
| 32763 | ········"14022471":·[2384,·2431], | 32760 | ········"14022471":·[2384,·2431], |
| 32764 | ········"14036":·2557, | 32761 | ········"14036":·2557, |
| 32765 | ········"14039":·2557, | 32762 | ········"14039":·2557, |
| 32766 | ········"14042":·2549, | 32763 | ········"14042":·2549, |
| 32767 | ········"14043":·2549, | 32764 | ········"14043":·2549, |
| 32768 | ········"14044":·2549, | 32765 | ········"14044":·2549, |
| 32769 | ········"14045":·2549, | 32766 | ········"14045":·2549, |
| Offset 32797, 15 lines modified | Offset 32794, 15 lines modified | ||
| 32797 | ········"14162":·2549, | 32794 | ········"14162":·2549, |
| 32798 | ········"14166":·2552, | 32795 | ········"14166":·2552, |
| 32799 | ········"14181":·2557, | 32796 | ········"14181":·2557, |
| 32800 | ········"14194":·2552, | 32797 | ········"14194":·2552, |
| 32801 | ········"14197":·2557, | 32798 | ········"14197":·2557, |
| 32802 | ········"14198":·2552, | 32799 | ········"14198":·2552, |
| 32803 | ········"14199":·2552, | 32800 | ········"14199":·2552, |
| 32804 | ········"142":·654, | 32801 | ········"142":·[654,·2458], |
| 32805 | ········"14200":·2552, | 32802 | ········"14200":·2552, |
| 32806 | ········"14201":·2552, | 32803 | ········"14201":·2552, |
| 32807 | ········"14211":·2550, | 32804 | ········"14211":·2550, |
| 32808 | ········"14227":·2557, | 32805 | ········"14227":·2557, |
| 32809 | ········"14228":·2552, | 32806 | ········"14228":·2552, |
| 32810 | ········"14236":·2552, | 32807 | ········"14236":·2552, |
| 32811 | ········"14237":·2552, | 32808 | ········"14237":·2552, |
| Offset 32882, 14 lines modified | Offset 32879, 15 lines modified | ||
| 32882 | ········"14644661":·1754, | 32879 | ········"14644661":·1754, |
| 32883 | ········"14673309e":·2658, | 32880 | ········"14673309e":·2658, |
| 32884 | ········"14682":·2557, | 32881 | ········"14682":·2557, |
| 32885 | ········"14686":·2550, | 32882 | ········"14686":·2550, |
| 32886 | ········"14687":·2554, | 32883 | ········"14687":·2554, |
| 32887 | ········"14692469":·2627, | 32884 | ········"14692469":·2627, |
| 32888 | ········"146925":·2627, | 32885 | ········"146925":·2627, |
| 32886 | ········"147":·2458, | ||
| 32889 | ········"14717":·2557, | 32887 | ········"14717":·2557, |
| 32890 | ········"14718":·2557, | 32888 | ········"14718":·2557, |
| 32891 | ········"14720":·2557, | 32889 | ········"14720":·2557, |
| 32892 | ········"14730":·2557, | 32890 | ········"14730":·2557, |
| 32893 | ········"14758":·2555, | 32891 | ········"14758":·2555, |
| 32894 | ········"14771":·2557, | 32892 | ········"14771":·2557, |
| 32895 | ········"14777":·2557, | 32893 | ········"14777":·2557, |
| Offset 33073, 14 lines modified | Offset 33071, 15 lines modified | ||
| 33073 | ········"16594":·2569, | 33071 | ········"16594":·2569, |
| 33074 | ········"166":·[674,·2460], | 33072 | ········"166":·[674,·2460], |
| 33075 | ········"16649":·2564, | 33073 | ········"16649":·2564, |
| 33076 | ········"16650":·2569, | 33074 | ········"16650":·2569, |
| 33077 | ········"16652":·2564, | 33075 | ········"16652":·2564, |
| 33078 | ········"16654":·2564, | 33076 | ········"16654":·2564, |
| 33079 | ········"16656":·2564, | 33077 | ········"16656":·2564, |
| 33078 | ········"16662583":·2458, | ||
| 33080 | ········"166659832":·[849,·1029], | 33079 | ········"166659832":·[849,·1029], |
| 33081 | ········"16666667":·[1524,·1542,·1757,·1869], | 33080 | ········"16666667":·[1524,·1542,·1757,·1869], |
| 33082 | ········"166670640":·[849,·1029], | 33081 | ········"166670640":·[849,·1029], |
| 33083 | ········"166691080":·[849,·1029], | 33082 | ········"166691080":·[849,·1029], |
| 33084 | ········"16672":·2564, | 33083 | ········"16672":·2564, |
| 33085 | ········"16675":·2569, | 33084 | ········"16675":·2569, |
| 33086 | ········"16693":·2564, | 33085 | ········"16693":·2564, |
| Offset 33126, 15 lines modified | Offset 33125, 15 lines modified | ||
| 33126 | ········"17000":·2565, | 33125 | ········"17000":·2565, |
| 33127 | ········"17010":·2569, | 33126 | ········"17010":·2569, |
| 33128 | ········"17015":·2565, | 33127 | ········"17015":·2565, |
| 33129 | ········"17022005e":·54, | 33128 | ········"17022005e":·54, |
| 33130 | ········"17029":·2569, | 33129 | ········"17029":·2569, |
| 33131 | ········"17067":·2569, | 33130 | ········"17067":·2569, |
| 33132 | ········"17068":·2569, | 33131 | ········"17068":·2569, |
| 33133 | ········"171":·2460, | 33132 | ········"171":·[2458,·2460], |
| 33134 | ········"17116":·2569, | 33133 | ········"17116":·2569, |
| 33135 | ········"17123":·2569, | 33134 | ········"17123":·2569, |
| 33136 | ········"17125":·2565, | 33135 | ········"17125":·2565, |
| 33137 | ········"17150989":·2627, | 33136 | ········"17150989":·2627, |
| 33138 | ········"171510":·2627, | 33137 | ········"171510":·2627, |
| 33139 | ········"17157288":·[641,·643], | 33138 | ········"17157288":·[641,·643], |
| 33140 | ········"17195":·2569, | 33139 | ········"17195":·2569, |
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