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| 536 | <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> | 536 | <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> |
| 537 | <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> | 537 | <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> |
| 538 | <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000) | 538 | <span·class="gp">In·[3]:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·rng.standard_normal(100000) |
| 539 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000) | 539 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_normal(100000) |
| 540 | <span·class="gp">···...:·</span> | 540 | <span·class="gp">···...:·</span> |
| 541 | <span·class="go">1.38·ms·+-·44.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 542 | <span·class="go"> | 541 | <span·class="go">4.51·ms·+-·1.93·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 542 | <span·class="go">9.23·ms·+-·1.57·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 543 | </pre></div> | 543 | </pre></div> |
| 544 | </div> | 544 | </div> |
| 545 | <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) | 545 | <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) |
| 546 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000) | 546 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_exponential(100000) |
| 547 | <span·class="gp">···...:·</span> | 547 | <span·class="gp">···...:·</span> |
| 548 | <span·class="go"> | 548 | <span·class="go">The·slowest·run·took·4.71·times·longer·than·the·fastest.·This·could·mean·that·an·intermediate·result·is·being·cached.</span> |
| 549 | <span·class="go">3.5·ms·+-·2 | 549 | <span·class="go">3.35·ms·+-·2.1·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 550 | <span·class="go">6.83·ms·+-·1.48·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
| 550 | </pre></div> | 551 | </pre></div> |
| 551 | </div> | 552 | </div> |
| 552 | <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) | 553 | <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) |
| 553 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000) | 554 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.standard_gamma(3.0,·100000) |
| 554 | <span·class="gp">···...:·</span> | 555 | <span·class="gp">···...:·</span> |
| 555 | <span·class="go"> | 556 | <span·class="go">10.1·ms·+-·1.92·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 556 | <span·class="go"> | 557 | <span·class="go">14.7·ms·+-·3.71·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
| 557 | </pre></div> | 558 | </pre></div> |
| 558 | </div> | 559 | </div> |
| 559 | <ul·class="simple"> | 560 | <ul·class="simple"> |
| 560 | <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 | 561 | <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 |
| 561 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both | 562 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both |
| 562 | <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> | 563 | <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> |
| 563 | <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 | 564 | <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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| 586 | <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> | 587 | <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> |
| 587 | </ul> | 588 | </ul> |
| 588 | </li> | 589 | </li> |
| 589 | </ul> | 590 | </ul> |
| 590 | <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> | 591 | <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> |
| 591 | <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> | 592 | <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> |
| 592 | <span·class="gh">Out[7]:·</span><span·class="go">array([0. | 593 | <span·class="gh">Out[7]:·</span><span·class="go">array([0.20472207,·0.01860532,·0.75098837])</span> |
| 593 | <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> | 594 | <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> |
| 594 | <span·class="gh">Out[8]:·</span><span·class="go">array([0. | 595 | <span·class="gh">Out[8]:·</span><span·class="go">array([0.31903237,·0.706283··,·0.40277177],·dtype=float32)</span> |
| 595 | <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> | 596 | <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> |
| 596 | <span·class="gh">Out[9]:·</span><span·class="go">array([ | 597 | <span·class="gh">Out[9]:·</span><span·class="go">array([·67,·152,··18],·dtype=uint8)</span> |
| 597 | </pre></div> | 598 | </pre></div> |
| 598 | </div> | 599 | </div> |
| 599 | <ul> | 600 | <ul> |
| 600 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for | 601 | <li><p>Optional·<code·class="docutils·literal·notranslate"><span·class="pre">out</span></code>·argument·that·allows·existing·arrays·to·be·filled·for |
| 601 | select·distributions</p> | 602 | select·distributions</p> |
| 602 | <ul·class="simple"> | 603 | <ul·class="simple"> |
| 603 | <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> | 604 | <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 613, 18 lines modified | Offset 614, 18 lines modified | ||
| 613 | </li> | 614 | </li> |
| 614 | </ul> | 615 | </ul> |
| 615 | <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> | 616 | <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> |
| 616 | <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> | 617 | <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> |
| 617 | <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> | 618 | <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> |
| 618 | <span·class="gh">Out[12]:·</span><span·class="go">array([0. | 619 | <span·class="gh">Out[12]:·</span><span·class="go">array([0.72100828,·0.49323012])</span> |
| 619 | <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span> | 620 | <span·class="gp">In·[13]:·</span><span·class="nb">print</span><span·class="p">(</span><span·class="n">existing</span><span·class="p">)</span> |
| 620 | <span·class="go">[0. | 621 | <span·class="go">[0.72100828·0.49323012·0.·········0.········]</span> |
| 621 | </pre></div> | 622 | </pre></div> |
| 622 | </div> | 623 | </div> |
| 623 | <ul·class="simple"> | 624 | <ul·class="simple"> |
| 624 | <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>, | 625 | <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>, |
| 625 | <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 | 626 | <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 |
| 626 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> | 627 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> |
| 627 | </ul> | 628 | </ul> |
| Offset 636, 25 lines modified | Offset 637, 25 lines modified | ||
| 636 | <span·class="gh">Out[16]:·</span> | 637 | <span·class="gh">Out[16]:·</span> |
| 637 | <span·class="go">array([[·0,··1,··2,··3],</span> | 638 | <span·class="go">array([[·0,··1,··2,··3],</span> |
| 638 | <span·class="go">·······[·4,··5,··6,··7],</span> | 639 | <span·class="go">·······[·4,··5,··6,··7],</span> |
| 639 | <span·class="go">·······[·8,··9,·10,·11]])</span> | 640 | <span·class="go">·······[·8,··9,·10,·11]])</span> |
| 640 | <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> | 641 | <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> |
| 641 | <span·class="gh">Out[17]:·</span> | 642 | <span·class="gh">Out[17]:·</span> |
| 642 | <span·class="go">array([[1,· | 643 | <span·class="go">array([[·1,··2,··0,··3,··2],</span> |
| 643 | <span·class="go">·······[5,· | 644 | <span·class="go">·······[·5,··6,··4,··7,··6],</span> |
| 644 | <span·class="go">·······[9,· | 645 | <span·class="go">·······[·9,·10,··8,·11,·10]])</span> |
| 645 | <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> | 646 | <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> |
| 646 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> | 647 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> |
| 647 | <span·class="gh">Out[19]:·</span> | 648 | <span·class="gh">Out[19]:·</span> |
| 648 | <span·class="go">array([[·0,·· | 649 | <span·class="go">array([[·0,··2,··1,··3],</span> |
| 649 | <span·class="go">·······[·4,·· | 650 | <span·class="go">·······[·4,··6,··5,··7],</span> |
| 650 | <span·class="go">·······[·8,·1 | 651 | <span·class="go">·······[·8,·10,··9,·11]])</span> |
| 651 | </pre></div> | 652 | </pre></div> |
| 652 | </div> | 653 | </div> |
| 653 | <ul·class="simple"> | 654 | <ul·class="simple"> |
| 654 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution | 655 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution |
| 655 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> | 656 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> |
| 656 | </ul> | 657 | </ul> |
| 657 | </section> | 658 | </section> |
| Offset 102, 26 lines modified | Offset 102, 28 lines modified | ||
| 102 | In·[1]:·import·numpy.random | 102 | In·[1]:·import·numpy.random |
| 103 | In·[2]:·rng·=·np.random.default_rng() | 103 | In·[2]:·rng·=·np.random.default_rng() |
| 104 | In·[3]:·%timeit·-n·1·rng.standard_normal(100000) | 104 | In·[3]:·%timeit·-n·1·rng.standard_normal(100000) |
| 105 | ···...:·%timeit·-n·1·numpy.random.standard_normal(100000) | 105 | ···...:·%timeit·-n·1·numpy.random.standard_normal(100000) |
| 106 | ···...: | 106 | ···...: |
| 107 | 1.38·ms·+-·44.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 108 | 107 | 4.51·ms·+-·1.93·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 108 | 9.23·ms·+-·1.57·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 109 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) | 109 | In·[4]:·%timeit·-n·1·rng.standard_exponential(100000) |
| 110 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) | 110 | ···...:·%timeit·-n·1·numpy.random.standard_exponential(100000) |
| 111 | ···...: | 111 | ···...: |
| 112 | 112 | The·slowest·run·took·4.71·times·longer·than·the·fastest.·This·could·mean·that | |
| 113 | an·intermediate·result·is·being·cached. | ||
| 113 | 3.5·ms·+-·2 | 114 | 3.35·ms·+-·2.1·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
| 115 | 6.83·ms·+-·1.48·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
| 114 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) | 116 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) |
| 115 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) | 117 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) |
| 116 | ···...: | 118 | ···...: |
| 117 | 119 | 10.1·ms·+-·1.92·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 118 | 120 | 14.7·ms·+-·3.71·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
| 119 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from | 121 | ····*·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s·is·now·the·canonical·way·to·generate·integer·random·numbers·from |
| 120 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the | 122 | ······a·discrete·uniform·distribution.·This·replaces·both·_\x8r_\x8a_\x8n_\x8d_\x8i_\x8n_\x8t·and·the |
| 121 | ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s. | 123 | ······deprecated·_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m_\x8__\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s. |
| 122 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy | 124 | ····*·The·_\x8r_\x8a_\x8n_\x8d·and·_\x8r_\x8a_\x8n_\x8d_\x8n·methods·are·only·available·through·the·legacy |
| 123 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. | 125 | ······_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8S_\x8t_\x8a_\x8t_\x8e. |
| 124 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8o_\x8r_\x8._\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·is·now·the·canonical·way·to·generate·floating-point | 126 | ····*·_\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 |
| 125 | ······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 | 127 | ······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 140, 38 lines modified | Offset 142, 38 lines modified | ||
| 140 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s) | 142 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s) |
| 141 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) | 143 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) |
| 142 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) | 144 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) |
| 143 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) | 145 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) |
| 144 | In·[6]:·rng·=·np.random.default_rng() | 146 | In·[6]:·rng·=·np.random.default_rng() |
| 145 | In·[7]:·rng.random(3,·dtype=np.float64) | 147 | In·[7]:·rng.random(3,·dtype=np.float64) |
| 146 | Out[7]:·array([0. | 148 | Out[7]:·array([0.20472207,·0.01860532,·0.75098837]) |
| 147 | In·[8]:·rng.random(3,·dtype=np.float32) | 149 | In·[8]:·rng.random(3,·dtype=np.float32) |
| 148 | Out[8]:·array([0. | 150 | Out[8]:·array([0.31903237,·0.706283··,·0.40277177],·dtype=float32) |
| 149 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) | 151 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) |
| 150 | Out[9]:·array([ | 152 | Out[9]:·array([·67,·152,··18],·dtype=uint8) |
| 151 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select | 153 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select |
| 152 | ······distributions | 154 | ······distributions |
| 153 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) | 155 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) |
| 154 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) | 156 | ··········o·Normals·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l) |
| 155 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) | 157 | ··········o·Standard·Gammas·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8g_\x8a_\x8m_\x8m_\x8a) |
| 156 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) | 158 | ··········o·Standard·Exponentials·(_\x8s_\x8t_\x8a_\x8n_\x8d_\x8a_\x8r_\x8d_\x8__\x8e_\x8x_\x8p_\x8o_\x8n_\x8e_\x8n_\x8t_\x8i_\x8a_\x8l) |
| 157 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable | 159 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable |
| 158 | ······BitGenerators·in·parallel. | 160 | ······BitGenerators·in·parallel. |
| 159 | In·[10]:·rng·=·np.random.default_rng() | 161 | In·[10]:·rng·=·np.random.default_rng() |
| 160 | In·[11]:·existing·=·np.zeros(4) | 162 | In·[11]:·existing·=·np.zeros(4) |
| 161 | In·[12]:·rng.random(out=existing[:2]) | 163 | In·[12]:·rng.random(out=existing[:2]) |
| 162 | Out[12]:·array([0. | 164 | Out[12]:·array([0.72100828,·0.49323012]) |
| 163 | In·[13]:·print(existing) | 165 | In·[13]:·print(existing) |
| 164 | [0. | 166 | [0.72100828·0.49323012·0.·········0.········] |
| 165 | ····*·Optional·axis·argument·for·methods·like·_\x8c_\x8h_\x8o_\x8i_\x8c_\x8e,·_\x8p_\x8e_\x8r_\x8m_\x8u_\x8t_\x8a_\x8t_\x8i_\x8o_\x8n·and·_\x8s_\x8h_\x8u_\x8f_\x8f_\x8l_\x8e | 167 | ····*·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 |
| 166 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- | 168 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- |
| 167 | ······dimensional·arrays. | 169 | ······dimensional·arrays. |
| 168 | In·[14]:·rng·=·np.random.default_rng() | 170 | In·[14]:·rng·=·np.random.default_rng() |
| 169 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) | 171 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) |
| Offset 179, 25 lines modified | Offset 181, 25 lines modified | ||
| 179 | Out[16]: | 181 | Out[16]: |
| 180 | array([[·0,··1,··2,··3], | 182 | array([[·0,··1,··2,··3], |
| 181 | ·······[·4,··5,··6,··7], | 183 | ·······[·4,··5,··6,··7], |
| 182 | ·······[·8,··9,·10,·11]]) | 184 | ·······[·8,··9,·10,·11]]) |
| 183 | In·[17]:·rng.choice(a,·axis=1,·size=5) | 185 | In·[17]:·rng.choice(a,·axis=1,·size=5) |
| 184 | Out[17]: | 186 | Out[17]: |
| 185 | array([[1,·1,·1,·0,·1], | ||
| 186 | 187 | array([[·1,··2,··0,··3,··2], | |
| 188 | ·······[·5,··6,··4,··7,··6], | ||
| 187 | ·······[9,· | 189 | ·······[·9,·10,··8,·11,·10]]) |
| 188 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place | 190 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place |
| 189 | In·[19]:·a | 191 | In·[19]:·a |
| 190 | Out[19]: | 192 | Out[19]: |
| 191 | array([[·0,·· | 193 | array([[·0,··2,··1,··3], |
| 192 | ·······[·4,·· | 194 | ·······[·4,··6,··5,··7], |
| 193 | ·······[·8,·1 | 195 | ·······[·8,·10,··9,·11]]) |
| 194 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution | 196 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution |
| 195 | ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l) | 197 | ······(c\x8co\x8om\x8mp\x8pl\x8le\x8ex\x8x_\x8_n\x8no\x8or\x8rm\x8ma\x8al\x8l) |
| 196 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s | 198 | _\x8p_\x8r_\x8e_\x8v_\x8i_\x8o_\x8u_\x8s |
| 197 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n | 199 | _\x8M_\x8u_\x8l_\x8t_\x8i_\x8t_\x8h_\x8r_\x8e_\x8a_\x8d_\x8e_\x8d_\x8·_\x8g_\x8e_\x8n_\x8e_\x8r_\x8a_\x8t_\x8i_\x8o_\x8n |
| 198 | _\x8n_\x8e_\x8x_\x8t | 200 | _\x8n_\x8e_\x8x_\x8t |
| 199 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e | 201 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e |
| 200 | ©·Copyright·2008-2025,·NumPy·Developers. | 202 | ©·Copyright·2008-2025,·NumPy·Developers. |
| Offset 609, 31 lines modified | Offset 609, 31 lines modified | ||
| 609 | <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> | 609 | <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> |
| 610 | </pre></div> | 610 | </pre></div> |
| 611 | </div> | 611 | </div> |
| 612 | <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) | 612 | <p>With·the·legacy·polynomial·module,·a·linear·fit·(i.e.·polynomial·of·degree·1) |
| 613 | 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> | 613 | 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> |
| 614 | <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> | 614 | <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> |
| 615 | <span·class="gh">Out[4]:·</span><span·class="go">array([·1. | 615 | <span·class="gh">Out[4]:·</span><span·class="go">array([·1.25300867,·-0.78245177])</span> |
| 616 | </pre></div> | 616 | </pre></div> |
| 617 | </div> | 617 | </div> |
| 618 | <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> | 618 | <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> |
| 619 | class·method·is·preferred:</p> | 619 | class·method·is·preferred:</p> |
| 620 | <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> | 620 | <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> |
| 621 | <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span> | 621 | <span·class="gp">In·[6]:·</span><span·class="n">p_fitted</span> |
| 622 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4. | 622 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4.85608724,·5.63853901],·domain=[0.,·9.],·window=[-1.,··1.],·symbol='x')</span> |
| 623 | </pre></div> | 623 | </pre></div> |
| 624 | </div> | 624 | </div> |
| 625 | <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the | 625 | <p>Note·that·the·coefficients·are·given·<em>in·the·scaled·domain</em>·defined·by·the |
| 626 | 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>. | 626 | 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>. |
| 627 | <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 | 627 | <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 |
| 628 | coefficients·in·the·unscaled·data·domain.</p> | 628 | coefficients·in·the·unscaled·data·domain.</p> |
| 629 | <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> | 629 | <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> |
| 630 | <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([-0. | 630 | <span·class="gh">Out[7]:·</span><span·class="go">Polynomial([-0.78245177,··1.25300867],·domain=[-1.,··1.],·window=[-1.,··1.],·symbol='x')</span> |
| 631 | </pre></div> | 631 | </pre></div> |
| 632 | </div> | 632 | </div> |
| 633 | </section> | 633 | </section> |
| 634 | </section> | 634 | </section> |
| 635 | <section·id="documentation-for-the-polynomial-package"> | 635 | <section·id="documentation-for-the-polynomial-package"> |
| 636 | <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> | 636 | <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> |
| 637 | <p>In·addition·to·standard·power·series·polynomials,·the·polynomial·package | 637 | <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([·1. | 155 | Out[4]:·array([·1.25300867,·-0.78245177]) |
| 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([4.85608724,·5.63853901],·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([-0.78245177,··1.25300867],·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 32333, 15 lines modified | Offset 32333, 14 lines modified | ||
| 32333 | ········"003":·[2327,·2372,·2419], | 32333 | ········"003":·[2327,·2372,·2419], |
| 32334 | ········"005":·2188, | 32334 | ········"005":·2188, |
| 32335 | ········"0050000029":·[357,·359], | 32335 | ········"0050000029":·[357,·359], |
| 32336 | ········"0050045159":·[357,·359], | 32336 | ········"0050045159":·[357,·359], |
| 32337 | ········"00578369":·1754, | 32337 | ········"00578369":·1754, |
| 32338 | ········"00625":·1585, | 32338 | ········"00625":·1585, |
| 32339 | ········"007000999997857":·1541, | 32339 | ········"007000999997857":·1541, |
| 32340 | ········"00717651":·2488, | ||
| 32341 | ········"00867716":·[2319,·2363,·2410], | 32340 | ········"00867716":·[2319,·2363,·2410], |
| 32342 | ········"00950034":·[2339,·2352,·2382,·2389,·2399,·2429,·2436,·2449], | 32341 | ········"00950034":·[2339,·2352,·2382,·2389,·2399,·2429,·2436,·2449], |
| 32343 | ········"009a87ff44bf":·42, | 32342 | ········"009a87ff44bf":·42, |
| 32344 | ········"00j":·[514,·642,·2167], | 32343 | ········"00j":·[514,·642,·2167], |
| 32345 | ········"01":·[41,·42,·45,·54,·55,·62,·147,·162,·163,·164,·335,·361,·410,·514,·547,·557,·566,·669,·897,·1088,·1094,·1586,·1594,·1601,·1658,·1715,·1772,·1829,·1885,·2104,·2160,·2252,·2323,·2329,·2367,·2373,·2414,·2420,·2525,·2658], | 32344 | ········"01":·[41,·42,·45,·54,·55,·62,·147,·162,·163,·164,·335,·361,·410,·514,·547,·557,·566,·669,·897,·1088,·1094,·1586,·1594,·1601,·1658,·1715,·1772,·1829,·1885,·2104,·2160,·2252,·2323,·2329,·2367,·2373,·2414,·2420,·2525,·2658], |
| 32346 | ········"010":·[653,·1602,·1659,·1716,·1773,·1830,·1886], | 32345 | ········"010":·[653,·1602,·1659,·1716,·1773,·1830,·1886], |
| 32347 | ········"0100":·1519, | 32346 | ········"0100":·1519, |
| Offset 32352, 14 lines modified | Offset 32351, 15 lines modified | ||
| 32352 | ········"01280782":·[2335,·2378,·2425], | 32351 | ········"01280782":·[2335,·2378,·2425], |
| 32353 | ········"016":·[648,·653], | 32352 | ········"016":·[648,·653], |
| 32354 | ········"01652764":·2635, | 32353 | ········"01652764":·2635, |
| 32355 | ········"01666667":·1544, | 32354 | ········"01666667":·1544, |
| 32356 | ········"016j":·2105, | 32355 | ········"016j":·2105, |
| 32357 | ········"01831564":·1660, | 32356 | ········"01831564":·1660, |
| 32358 | ········"018318":·[2353,·2400,·2450], | 32357 | ········"018318":·[2353,·2400,·2450], |
| 32358 | ········"01860532":·2461, | ||
| 32359 | ········"01j":·514, | 32359 | ········"01j":·514, |
| 32360 | ········"01t00":·[55,·62,·361,·2525], | 32360 | ········"01t00":·[55,·62,·361,·2525], |
| 32361 | ········"01t08":·2525, | 32361 | ········"01t08":·2525, |
| 32362 | ········"01t12":·55, | 32362 | ········"01t12":·55, |
| 32363 | ········"02":·[54,·55,·147,·162,·163,·410,·547,·566,·669,·1335,·1586,·1601,·1658,·1715,·1772,·1816,·1829,·1885,·2104], | 32363 | ········"02":·[54,·55,·147,·162,·163,·410,·547,·566,·669,·1335,·1586,·1601,·1658,·1715,·1772,·1816,·1829,·1885,·2104], |
| 32364 | ········"020995":·57, | 32364 | ········"020995":·57, |
| 32365 | ········"02284196":·1697, | 32365 | ········"02284196":·1697, |
| Offset 32373, 15 lines modified | Offset 32373, 14 lines modified | ||
| 32373 | ········"027559113243068367":·2666, | 32373 | ········"027559113243068367":·2666, |
| 32374 | ········"02785049":·1867, | 32374 | ········"02785049":·1867, |
| 32375 | ········"02i":·[513,·2644], | 32375 | ········"02i":·[513,·2644], |
| 32376 | ········"03":·[55,·67,·163,·566,·669,·1335,·1586,·1816,·2658], | 32376 | ········"03":·[55,·67,·163,·566,·669,·1335,·1586,·1816,·2658], |
| 32377 | ········"03125":·[1585,·2491], | 32377 | ········"03125":·[1585,·2491], |
| 32378 | ········"0326911":·[2335,·2378,·2425], | 32378 | ········"0326911":·[2335,·2378,·2425], |
| 32379 | ········"0361":·2607, | 32379 | ········"0361":·2607, |
| 32380 | ········"03654823":·2461, | ||
| 32381 | ········"03703704":·1809, | 32380 | ········"03703704":·1809, |
| 32382 | ········"03943254e":·2104, | 32381 | ········"03943254e":·2104, |
| 32383 | ········"03968254":·[1113,·1543], | 32382 | ········"03968254":·[1113,·1543], |
| 32384 | ········"0396842":·680, | 32383 | ········"0396842":·680, |
| 32385 | ········"03t13":·55, | 32384 | ········"03t13":·55, |
| 32386 | ········"04":·[54,·55,·164,·410,·547,·1586,·2463,·2594,·2659], | 32385 | ········"04":·[54,·55,·164,·410,·547,·1586,·2463,·2594,·2659], |
| 32387 | ········"0400":·360, | 32386 | ········"0400":·360, |
| Offset 32557, 15 lines modified | Offset 32556, 14 lines modified | ||
| 32557 | ········"10622":·2536, | 32556 | ········"10622":·2536, |
| 32558 | ········"10624":·2536, | 32557 | ········"10624":·2536, |
| 32559 | ········"10629":·2536, | 32558 | ········"10629":·2536, |
| 32560 | ········"10630":·2536, | 32559 | ········"10630":·2536, |
| 32561 | ········"1066":·370, | 32560 | ········"1066":·370, |
| 32562 | ········"10674":·2537, | 32561 | ········"10674":·2537, |
| 32563 | ········"1067949133":·[420,·947], | 32562 | ········"1067949133":·[420,·947], |
| 32564 | ········"10703413":·2488, | ||
| 32565 | ········"1071":·2463, | 32563 | ········"1071":·2463, |
| 32566 | ········"10725":·2537, | 32564 | ········"10725":·2537, |
| 32567 | ········"10726":·2537, | 32565 | ········"10726":·2537, |
| 32568 | ········"10727":·2537, | 32566 | ········"10727":·2537, |
| 32569 | ········"10729":·2537, | 32567 | ········"10729":·2537, |
| 32570 | ········"1073741821":·[420,·421,·947,·948,·1923], | 32568 | ········"1073741821":·[420,·421,·947,·948,·1923], |
| 32571 | ········"1078":·2622, | 32569 | ········"1078":·2622, |
| Offset 32999, 15 lines modified | Offset 32997, 15 lines modified | ||
| 32999 | ········"15170":·2561, | 32997 | ········"15170":·2561, |
| 33000 | ········"15172":·2553, | 32998 | ········"15172":·2553, |
| 33001 | ········"15175":·2559, | 32999 | ········"15175":·2559, |
| 33002 | ········"15176":·2561, | 33000 | ········"15176":·2561, |
| 33003 | ········"15184":·2561, | 33001 | ········"15184":·2561, |
| 33004 | ········"15191":·2553, | 33002 | ········"15191":·2553, |
| 33005 | ········"15194":·2561, | 33003 | ········"15194":·2561, |
| 33006 | ········"152":·2463, | 33004 | ········"152":·[2461,·2463], |
| 33007 | ········"1520m":·409, | 33005 | ········"1520m":·409, |
| 33008 | ········"15213":·2559, | 33006 | ········"15213":·2559, |
| 33009 | ········"15217":·2566, | 33007 | ········"15217":·2566, |
| 33010 | ········"15218":·2566, | 33008 | ········"15218":·2566, |
| 33011 | ········"15220":·2561, | 33009 | ········"15220":·2561, |
| 33012 | ········"15221":·2561, | 33010 | ········"15221":·2561, |
| 33013 | ········"15222":·2561, | 33011 | ········"15222":·2561, |
| Offset 33078, 15 lines modified | Offset 33076, 14 lines modified | ||
| 33078 | ········"15j":·[438,·1915], | 33076 | ········"15j":·[438,·1915], |
| 33079 | ········"15t00":·55, | 33077 | ········"15t00":·55, |
| 33080 | ········"15t12":·55, | 33078 | ········"15t12":·55, |
| 33081 | ········"15x":·[2594,·2599], | 33079 | ········"15x":·[2594,·2599], |
| 33082 | ········"16":·[9,·38,·47,·54,·55,·56,·58,·61,·62,·65,·69,·98,·114,·136,·137,·140,·141,·142,·144,·215,·229,·270,·366,·367,·370,·375,·389,·390,·391,·396,·400,·418,·438,·457,·470,·483,·514,·520,·530,·533,·546,·624,·660,·661,·666,·669,·838,·854,·880,·881,·939,·963,·1010,·1027,·1035,·1069,·1070,·1113,·1135,·1198,·1202,·1229,·1249,·1281,·1285,·1312,·1334,·1435,·1439,·1466,·1483,·1527,·1543,·1557,·1580,·1586,·1591,·1618,·1637,·1640,·1650,·1675,·1697,·1707,·1732,·1754,·1764,·1765,·1789,·1811,·1821,·1846,·1867,·1876,·1884,·1886,·1899,·1900,·1902,·1907,·1915,·1955,·1959,·1986,·2083,·2090,·2091,·2166,·2168,·2170,·2175,·2184,·2204,·2205,·2206,·2209,·2210,·2223,·2225,·2237,·2246,·2272,·2277,·2282,·2308,·2309,·2312,·2314,·2328,·2333,·2334,·2342,·2377,·2388,·2424,·2435,·2459,·2461,·2463,·2489,·2491,·2513,·2519,·2530,·2531,·2542,·2554,·2558,·2560,·2566,·2572,·2576,·2588,·2591,·2599,·2603,·2606,·2622,·2631,·2635,·2639,·2640,·2641,·2645,·2648,·2650,·2657,·2659,·2666], | 33080 | ········"16":·[9,·38,·47,·54,·55,·56,·58,·61,·62,·65,·69,·98,·114,·136,·137,·140,·141,·142,·144,·215,·229,·270,·366,·367,·370,·375,·389,·390,·391,·396,·400,·418,·438,·457,·470,·483,·514,·520,·530,·533,·546,·624,·660,·661,·666,·669,·838,·854,·880,·881,·939,·963,·1010,·1027,·1035,·1069,·1070,·1113,·1135,·1198,·1202,·1229,·1249,·1281,·1285,·1312,·1334,·1435,·1439,·1466,·1483,·1527,·1543,·1557,·1580,·1586,·1591,·1618,·1637,·1640,·1650,·1675,·1697,·1707,·1732,·1754,·1764,·1765,·1789,·1811,·1821,·1846,·1867,·1876,·1884,·1886,·1899,·1900,·1902,·1907,·1915,·1955,·1959,·1986,·2083,·2090,·2091,·2166,·2168,·2170,·2175,·2184,·2204,·2205,·2206,·2209,·2210,·2223,·2225,·2237,·2246,·2272,·2277,·2282,·2308,·2309,·2312,·2314,·2328,·2333,·2334,·2342,·2377,·2388,·2424,·2435,·2459,·2461,·2463,·2489,·2491,·2513,·2519,·2530,·2531,·2542,·2554,·2558,·2560,·2566,·2572,·2576,·2588,·2591,·2599,·2603,·2606,·2622,·2631,·2635,·2639,·2640,·2641,·2645,·2648,·2650,·2657,·2659,·2666], |
| 33083 | ········"160":·[69,·1519,·2463], | 33081 | ········"160":·[69,·1519,·2463], |
| 33084 | ········"1600":·55, | 33082 | ········"1600":·55, |
| 33085 | ········"16016573":·2461, | ||
| 33086 | ········"16017":·2563, | 33083 | ········"16017":·2563, |
| 33087 | ········"16055":·2564, | 33084 | ········"16055":·2564, |
| 33088 | ········"16056":·2572, | 33085 | ········"16056":·2572, |
| 33089 | ········"16068":·2566, | 33086 | ········"16068":·2566, |
| 33090 | ········"16080":·2566, | 33087 | ········"16080":·2566, |
| 33091 | ········"16090":·2564, | 33088 | ········"16090":·2564, |
| 33092 | ········"16091":·2564, | 33089 | ········"16091":·2564, |
| Offset 33476, 15 lines modified | Offset 33473, 15 lines modified | ||
| 33476 | ········"19803":·2583, | 33473 | ········"19803":·2583, |
| 33477 | ········"19805":·2583, | 33474 | ········"19805":·2583, |
| 33478 | ········"1985":·[653,·1897], | 33475 | ········"1985":·[653,·1897], |
| 33479 | ········"19857":·2583, | 33476 | ········"19857":·2583, |
| 33480 | ········"1986":·[136,·523,·524], | 33477 | ········"1986":·[136,·523,·524], |
| 33481 | ········"19879":·2583, | 33478 | ········"19879":·2583, |
| 33482 | ········"1988":·[520,·2357,·2404,·2454], | 33479 | ········"1988":·[520,·2357,·2404,·2454], |
| 33483 | ········"199":·[13,·2 | 33480 | ········"199":·[13,·2666], |
| 33484 | ········"1990":·2327, | 33481 | ········"1990":·2327, |
| 33485 | ········"1991":·[2335,·2378,·2425], | 33482 | ········"1991":·[2335,·2378,·2425], |
| 33486 | ········"19919":·2583, | 33483 | ········"19919":·2583, |
| 33487 | ········"19921":·2583, | 33484 | ········"19921":·2583, |
| 33488 | ········"19937":·2462, | 33485 | ········"19937":·2462, |
| 33489 | ········"1994":·[2332,·2376,·2423], | 33486 | ········"1994":·[2332,·2376,·2423], |
| 33490 | ········"1995":·68, | 33487 | ········"1995":·68, |
| Offset 33597, 21 lines modified | Offset 33594, 21 lines modified | ||
| 33597 | ········"2046":·2612, | 33594 | ········"2046":·2612, |
| 33598 | ········"20462":·2581, | 33595 | ········"20462":·2581, |
| 33599 | ········"20463":·2581, | 33596 | ········"20463":·2581, |
| 33600 | ········"20464":·2581, | 33597 | ········"20464":·2581, |
| 33601 | ········"20465":·2581, | 33598 | ········"20465":·2581, |
| 33602 | ········"20466":·2581, | 33599 | ········"20466":·2581, |
| 33603 | ········"20467":·2581, | 33600 | ········"20467":·2581, |
| 33601 | ········"20472207":·2461, | ||
| 33604 | ········"20477401j":·[439,·453], | 33602 | ········"20477401j":·[439,·453], |
| 33605 | ········"2048":·2612, | 33603 | ········"2048":·2612, |
| 33606 | ········"204840":·2635, | 33604 | ········"204840":·2635, |
| 33607 | ········"20484034":·2635, | 33605 | ········"20484034":·2635, |
| 33608 | ········"20495":·2581, | 33606 | ········"20495":·2581, |
| 33609 | ········"20497":·2581, | 33607 | ········"20497":·2581, |
| 33610 | ········"205":·2461, | ||
| Max diff block lines reached; 58264/63172 bytes (92.23%) of diff not shown. | |||