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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">1.0 | 526 | <span·class="go">1.02·ms·+-·41.8·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 527 | <span·class="go">2.51·ms·+-· | 527 | <span·class="go">2.51·ms·+-·25.2·us·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">98 | 533 | <span·class="go">987·us·+-·9.32·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 534 | <span·class="go">1.75·ms·+-· | 534 | <span·class="go">1.75·ms·+-·16.3·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">2.4 | 540 | <span·class="go">2.46·ms·+-·15.9·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 541 | <span·class="go">4.4 | 541 | <span·class="go">4.46·ms·+-·19.4·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([0.54260604,·0.77878359,·0.77082726])</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([0.7993823·,·0.6500705·,·0.02361113],·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([·63,·195,··38],·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([0.93281603,·0.01499371])</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">[0.93281603·0.01499371·0.·········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([[·2,··2,··3,··2,··0],</span> |
| 628 | <span·class="go">·······[· | 628 | <span·class="go">·······[·6,··6,··7,··6,··4],</span> |
| 629 | <span·class="go">·······[1 | 629 | <span·class="go">·······[10,·10,·11,·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([[· | 633 | <span·class="go">array([[·1,··0,··2,··3],</span> |
| 634 | <span·class="go">·······[· | 634 | <span·class="go">·······[·5,··4,··6,··7],</span> |
| 635 | <span·class="go">·······[· | 635 | <span·class="go">·······[·9,··8,·10,·11]])</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 | 1.0 | 106 | 1.02·ms·+-·41.8·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 107 | 2.51·ms·+-· | 107 | 2.51·ms·+-·25.2·us·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 | 98 | 111 | 987·us·+-·9.32·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 112 | 1.75·ms·+-· | 112 | 1.75·ms·+-·16.3·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 | 2.4 | 116 | 2.46·ms·+-·15.9·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 117 | 4.4 | 117 | 4.46·ms·+-·19.4·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([0.54260604,·0.77878359,·0.77082726]) |
| 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([0.7993823·,·0.6500705·,·0.02361113],·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([·63,·195,··38],·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([0.93281603,·0.01499371]) |
| 162 | In·[13]:·print(existing) | 162 | In·[13]:·print(existing) |
| 163 | [0. | 163 | [0.93281603·0.01499371·0.·········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([[·2,··2,··3,··2,··0], |
| 185 | ·······[· | 185 | ·······[·6,··6,··7,··6,··4], |
| 186 | ·······[1 | 186 | ·······[10,·10,·11,·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([[· | 190 | array([[·1,··0,··2,··3], |
| 191 | ·······[· | 191 | ·······[·5,··4,··6,··7], |
| 192 | ·······[· | 192 | ·······[·9,··8,·10,·11]]) |
| 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([·1.05471935,·-0.57880148])</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([4.16743561,·4.7462371·],·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([-0.57880148,··1.05471935],·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([·1.05471935,·-0.57880148]) |
| 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([4.16743561,·4.7462371·],·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([-0.57880148,··1.05471935],·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 32285, 39 lines modified | Offset 32285, 40 lines modified | ||
| 32285 | ········"010":·[652,·1600,·1657,·1714,·1771,·1828,·1884], | 32285 | ········"010":·[652,·1600,·1657,·1714,·1771,·1828,·1884], |
| 32286 | ········"0100":·1517, | 32286 | ········"0100":·1517, |
| 32287 | ········"01041667":·1583, | 32287 | ········"01041667":·1583, |
| 32288 | ········"011":·[1600,·1657,·1714,·1771,·1828,·1884], | 32288 | ········"011":·[1600,·1657,·1714,·1771,·1828,·1884], |
| 32289 | ········"012":·[1600,·1657,·1714,·1771,·1828,·1884], | 32289 | ········"012":·[1600,·1657,·1714,·1771,·1828,·1884], |
| 32290 | ········"0123456789":·[312,·2130], | 32290 | ········"0123456789":·[312,·2130], |
| 32291 | ········"01280782":·[2332,·2375,·2422], | 32291 | ········"01280782":·[2332,·2375,·2422], |
| 32292 | ········"01499371":·2458, | ||
| 32292 | ········"016":·[647,·652], | 32293 | ········"016":·[647,·652], |
| 32293 | ········"01611173":·2458, | ||
| 32294 | ········"01652764":·2626, | 32294 | ········"01652764":·2626, |
| 32295 | ········"01666667":·1542, | 32295 | ········"01666667":·1542, |
| 32296 | ········"016j":·2103, | 32296 | ········"016j":·2103, |
| 32297 | ········"01831564":·1658, | 32297 | ········"01831564":·1658, |
| 32298 | ········"018318":·[2350,·2397,·2447], | 32298 | ········"018318":·[2350,·2397,·2447], |
| 32299 | ········"01j":·523, | 32299 | ········"01j":·523, |
| 32300 | ········"01t00":·[55,·62,·370,·2522], | 32300 | ········"01t00":·[55,·62,·370,·2522], |
| 32301 | ········"01t08":·2522, | 32301 | ········"01t08":·2522, |
| 32302 | ········"01t12":·55, | 32302 | ········"01t12":·55, |
| 32303 | ········"02":·[54,·55,·156,·171,·172,·419,·556,·575,·668,·1333,·1584,·1599,·1656,·1713,·1770,·1814,·1827,·1883,·2102], | 32303 | ········"02":·[54,·55,·156,·171,·172,·419,·556,·575,·668,·1333,·1584,·1599,·1656,·1713,·1770,·1814,·1827,·1883,·2102,·2458], |
| 32304 | ········"020995":·57, | 32304 | ········"020995":·57, |
| 32305 | ········"02284196":·1695, | 32305 | ········"02284196":·1695, |
| 32306 | ········"02294967":·1638, | 32306 | ········"02294967":·1638, |
| 32307 | ········"023":·2635, | 32307 | ········"023":·2635, |
| 32308 | ········"02332573e":·54, | 32308 | ········"02332573e":·54, |
| 32309 | ········"02361113":·2458, | ||
| 32309 | ········"0253":·2643, | 32310 | ········"0253":·2643, |
| 32310 | ········"02654825":·1889, | 32311 | ········"02654825":·1889, |
| 32311 | ········"02658058e":·2657, | 32312 | ········"02658058e":·2657, |
| 32312 | ········"02755911":·2657, | 32313 | ········"02755911":·2657, |
| 32313 | ········"027559113243068367":·2657, | 32314 | ········"027559113243068367":·2657, |
| 32314 | ········"02785049":·1865, | 32315 | ········"02785049":·1865, |
| 32315 | ········"02i":·[522,·2635], | 32316 | ········"02i":·[522,·2635], |
| 32316 | ········"03":·[55,·67,·172,·575,·668,·1333,·1584,·1814,·2 | 32317 | ········"03":·[55,·67,·172,·575,·668,·1333,·1584,·1814,·2649], |
| 32317 | ········"03125":·[1583,·2488], | 32318 | ········"03125":·[1583,·2488], |
| 32318 | ········"0326911":·[2332,·2375,·2422], | 32319 | ········"0326911":·[2332,·2375,·2422], |
| 32319 | ········"0361":·2604, | 32320 | ········"0361":·2604, |
| 32320 | ········"03703704":·1807, | 32321 | ········"03703704":·1807, |
| 32321 | ········"03943254e":·2102, | 32322 | ········"03943254e":·2102, |
| 32322 | ········"03968254":·[1112,·1541], | 32323 | ········"03968254":·[1112,·1541], |
| 32323 | ········"0396842":·679, | 32324 | ········"0396842":·679, |
| Offset 32330, 14 lines modified | Offset 32331, 15 lines modified | ||
| 32330 | ········"04551152e":·2102, | 32331 | ········"04551152e":·2102, |
| 32331 | ········"04719755":·1909, | 32332 | ········"04719755":·1909, |
| 32332 | ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447], | 32333 | ········"05":·[55,·100,·172,·419,·557,·668,·895,·1094,·1869,·2081,·2171,·2350,·2397,·2447], |
| 32333 | ········"0500":·369, | 32334 | ········"0500":·369, |
| 32334 | ········"05093587":·2626, | 32335 | ········"05093587":·2626, |
| 32335 | ········"05208333":·1583, | 32336 | ········"05208333":·1583, |
| 32336 | ········"05263157894736836":·2254, | 32337 | ········"05263157894736836":·2254, |
| 32338 | ········"05471935":·2485, | ||
| 32337 | ········"0549999999999997":·2081, | 32339 | ········"0549999999999997":·2081, |
| 32338 | ········"055":·2081, | 32340 | ········"055":·2081, |
| 32339 | ········"0596779":·1152, | 32341 | ········"0596779":·1152, |
| 32340 | ········"06":·[55,·575,·2081,·2505], | 32342 | ········"06":·[55,·575,·2081,·2505], |
| 32341 | ········"0614962j":·[448,·462], | 32343 | ········"0614962j":·[448,·462], |
| 32342 | ········"0625":·[87,·427,·1643], | 32344 | ········"0625":·[87,·427,·1643], |
| 32343 | ········"06369197489564249":·2455, | 32345 | ········"06369197489564249":·2455, |
| Offset 32503, 15 lines modified | Offset 32505, 15 lines modified | ||
| 32503 | ········"1071":·2460, | 32505 | ········"1071":·2460, |
| 32504 | ········"10725":·2534, | 32506 | ········"10725":·2534, |
| 32505 | ········"10726":·2534, | 32507 | ········"10726":·2534, |
| 32506 | ········"10727":·2534, | 32508 | ········"10727":·2534, |
| 32507 | ········"10729":·2534, | 32509 | ········"10729":·2534, |
| 32508 | ········"1073741821":·[429,·430,·946,·947,·1921], | 32510 | ········"1073741821":·[429,·430,·946,·947,·1921], |
| 32509 | ········"1078":·2619, | 32511 | ········"1078":·2619, |
| 32510 | ········"108":·[533,·24 | 32512 | ········"108":·[533,·2460], |
| 32511 | ········"10862":·2535, | 32513 | ········"10862":·2535, |
| 32512 | ········"10868":·2535, | 32514 | ········"10868":·2535, |
| 32513 | ········"1088311":·2340, | 32515 | ········"1088311":·2340, |
| 32514 | ········"10898":·2539, | 32516 | ········"10898":·2539, |
| 32515 | ········"109":·[145,·532,·2460], | 32517 | ········"109":·[145,·532,·2460], |
| 32516 | ········"10905":·2535, | 32518 | ········"10905":·2535, |
| 32517 | ········"10941":·2325, | 32519 | ········"10941":·2325, |
| Offset 32689, 15 lines modified | Offset 32691, 15 lines modified | ||
| 32689 | ········"1300000":·2626, | 32691 | ········"1300000":·2626, |
| 32690 | ········"13020":·2546, | 32692 | ········"13020":·2546, |
| 32691 | ········"13026":·2546, | 32693 | ········"13026":·2546, |
| 32692 | ········"13028":·2546, | 32694 | ········"13028":·2546, |
| 32693 | ········"13038":·2546, | 32695 | ········"13038":·2546, |
| 32694 | ········"13041":·2546, | 32696 | ········"13041":·2546, |
| 32695 | ········"13090":·[195,·826,·998,·1171,·1257,·1412,·1931], | 32697 | ········"13090":·[195,·826,·998,·1171,·1257,·1412,·1931], |
| 32696 | ········"131":·[536,·24 | 32698 | ········"131":·[536,·2460], |
| 32697 | ········"1312":·494, | 32699 | ········"1312":·494, |
| 32698 | ········"13182611e":·[429,·946], | 32700 | ········"13182611e":·[429,·946], |
| 32699 | ········"132":·[536,·2327,·2371,·2418,·2460,·2628], | 32701 | ········"132":·[536,·2327,·2371,·2418,·2460,·2628], |
| 32700 | ········"1324274851176597e":·1865, | 32702 | ········"1324274851176597e":·1865, |
| 32701 | ········"133":·[536,·2327,·2371,·2418], | 32703 | ········"133":·[536,·2327,·2371,·2418], |
| 32702 | ········"13392":·2548, | 32704 | ········"13392":·2548, |
| 32703 | ········"13394":·2548, | 32705 | ········"13394":·2548, |
| Offset 33079, 14 lines modified | Offset 33081, 15 lines modified | ||
| 33079 | ········"16703":·2564, | 33081 | ········"16703":·2564, |
| 33080 | ········"16705":·2564, | 33082 | ········"16705":·2564, |
| 33081 | ········"16710":·2569, | 33083 | ········"16710":·2569, |
| 33082 | ········"16714":·2564, | 33084 | ········"16714":·2564, |
| 33083 | ········"1672":·2609, | 33085 | ········"1672":·2609, |
| 33084 | ········"16724":·2564, | 33086 | ········"16724":·2564, |
| 33085 | ········"16730":·2569, | 33087 | ········"16730":·2569, |
| 33088 | ········"16743561":·2485, | ||
| 33086 | ········"1675":·2609, | 33089 | ········"1675":·2609, |
| 33087 | ········"16768":·2564, | 33090 | ········"16768":·2564, |
| 33088 | ········"16772":·2564, | 33091 | ········"16772":·2564, |
| 33089 | ········"16776":·2564, | 33092 | ········"16776":·2564, |
| 33090 | ········"16779":·2564, | 33093 | ········"16779":·2564, |
| 33091 | ········"1678":·55, | 33094 | ········"1678":·55, |
| 33092 | ········"16780":·2564, | 33095 | ········"16780":·2564, |
| Offset 33153, 15 lines modified | Offset 33156, 14 lines modified | ||
| 33153 | ········"1749":·2608, | 33156 | ········"1749":·2608, |
| 33154 | ········"17492":·2573, | 33157 | ········"17492":·2573, |
| 33155 | ········"175":·[2460,·2650], | 33158 | ········"175":·[2460,·2650], |
| 33156 | ········"17522":·2566, | 33159 | ········"17522":·2566, |
| 33157 | ········"17530":·2580, | 33160 | ········"17530":·2580, |
| 33158 | ········"17535":·2569, | 33161 | ········"17535":·2569, |
| 33159 | ········"17545176":·1152, | 33162 | ········"17545176":·1152, |
| 33160 | ········"17549395":·2485, | ||
| 33161 | ········"17568":·2566, | 33163 | ········"17568":·2566, |
| 33162 | ········"17577":·[2569,·2651], | 33164 | ········"17577":·[2569,·2651], |
| 33163 | ········"17580":·2569, | 33165 | ········"17580":·2569, |
| 33164 | ········"17582":·2580, | 33166 | ········"17582":·2580, |
| 33165 | ········"17586":·2573, | 33167 | ········"17586":·2573, |
| 33166 | ········"17596":·2569, | 33168 | ········"17596":·2569, |
| 33167 | ········"176":·2460, | 33169 | ········"176":·2460, |
| Offset 33354, 15 lines modified | Offset 33356, 15 lines modified | ||
| 33354 | ········"19478":·2580, | 33356 | ········"19478":·2580, |
| 33355 | ········"19479":·2580, | 33357 | ········"19479":·2580, |
| 33356 | ········"1948":·2609, | 33358 | ········"1948":·2609, |
| 33357 | ········"19495":·2574, | 33359 | ········"19495":·2574, |
| 33358 | ········"19496":·2574, | 33360 | ········"19496":·2574, |
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