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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">7.29·ms·+-·962·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
542 | <span·class="go"> | 541 | <span·class="go">4.47·ms·+-·204·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
542 | <span·class="go">6.21·ms·+-·31.9·us·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">3.78·ms·+-·46.2·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
548 | <span·class="go">5.8·ms·+-· | 549 | <span·class="go">5.84·ms·+-·19.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
549 | <span·class="go">16.6·ms·+-·73.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> | ||
550 | </pre></div> | 550 | </pre></div> |
551 | </div> | 551 | </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) | 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 | <span·class="gp">···...:·</span><span·class="o">%</span><span·class="k">timeit</span>·-n·1·numpy.random.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> | 554 | <span·class="gp">···...:·</span> |
555 | <span·class="go"> | 555 | <span·class="go">12.4·ms·+-·30·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
556 | <span·class="go"> | 556 | <span·class="go">14.3·ms·+-·25.1·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each)</span> |
557 | </pre></div> | 557 | </pre></div> |
558 | </div> | 558 | </div> |
559 | <ul·class="simple"> | 559 | <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 | 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 | random·numbers·from·a·discrete·uniform·distribution.·This·replaces·both | 561 | 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> | 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 | <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 | 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 |
Offset 586, 21 lines modified | Offset 586, 21 lines modified | ||
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> | 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 | </ul> | 587 | </ul> |
588 | </li> | 588 | </li> |
589 | </ul> | 589 | </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> | 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 | <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> | 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="gh">Out[7]:·</span><span·class="go">array([0. | 592 | <span·class="gh">Out[7]:·</span><span·class="go">array([0.44341898,·0.48485351,·0.14821712])</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> | 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="gh">Out[8]:·</span><span·class="go">array([0. | 594 | <span·class="gh">Out[8]:·</span><span·class="go">array([0.65999645,·0.6686265·,·0.3359151·],·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> | 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="gh">Out[9]:·</span><span·class="go">array([2 | 596 | <span·class="gh">Out[9]:·</span><span·class="go">array([221,··44,·120],·dtype=uint8)</span> |
597 | </pre></div> | 597 | </pre></div> |
598 | </div> | 598 | </div> |
599 | <ul> | 599 | <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 | 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 | select·distributions</p> | 601 | select·distributions</p> |
602 | <ul·class="simple"> | 602 | <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> | 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> |
Offset 613, 18 lines modified | Offset 613, 18 lines modified | ||
613 | </li> | 613 | </li> |
614 | </ul> | 614 | </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> | 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 | <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> | 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·[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> | 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="gh">Out[12]:·</span><span·class="go">array([0. | 618 | <span·class="gh">Out[12]:·</span><span·class="go">array([0.52837855,·0.59357937])</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> | 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="go">[0. | 620 | <span·class="go">[0.52837855·0.59357937·0.·········0.········]</span> |
621 | </pre></div> | 621 | </pre></div> |
622 | </div> | 622 | </div> |
623 | <ul·class="simple"> | 623 | <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>, | 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 | <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 | 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 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> | 626 | axis·an·operation·is·performed·over·for·multi-dimensional·arrays.</p></li> |
627 | </ul> | 627 | </ul> |
Offset 636, 25 lines modified | Offset 636, 25 lines modified | ||
636 | <span·class="gh">Out[16]:·</span> | 636 | <span·class="gh">Out[16]:·</span> |
637 | <span·class="go">array([[·0,··1,··2,··3],</span> | 637 | <span·class="go">array([[·0,··1,··2,··3],</span> |
638 | <span·class="go">·······[·4,··5,··6,··7],</span> | 638 | <span·class="go">·······[·4,··5,··6,··7],</span> |
639 | <span·class="go">·······[·8,··9,·10,·11]])</span> | 639 | <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> | 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="gh">Out[17]:·</span> | 641 | <span·class="gh">Out[17]:·</span> |
642 | <span·class="go">array([[· | 642 | <span·class="go">array([[·3,··2,··1,··2,··0],</span> |
643 | <span·class="go">·······[· | 643 | <span·class="go">·······[·7,··6,··5,··6,··4],</span> |
644 | <span·class="go">·······[· | 644 | <span·class="go">·······[11,·10,··9,·10,··8]])</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> | 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·[19]:·</span><span·class="n">a</span> | 646 | <span·class="gp">In·[19]:·</span><span·class="n">a</span> |
647 | <span·class="gh">Out[19]:·</span> | 647 | <span·class="gh">Out[19]:·</span> |
648 | <span·class="go">array([[· | 648 | <span·class="go">array([[·1,··0,··3,··2],</span> |
649 | <span·class="go">·······[· | 649 | <span·class="go">·······[·5,··4,··7,··6],</span> |
650 | <span·class="go">·······[ | 650 | <span·class="go">·······[·9,··8,·11,·10]])</span> |
651 | </pre></div> | 651 | </pre></div> |
652 | </div> | 652 | </div> |
653 | <ul·class="simple"> | 653 | <ul·class="simple"> |
654 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution | 654 | <li><p>Added·a·method·to·sample·from·the·complex·normal·distribution |
655 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> | 655 | (<em·class="xref·py·py-obj">complex_normal</em>)</p></li> |
656 | </ul> | 656 | </ul> |
657 | </section> | 657 | </section> |
Offset 102, 26 lines modified | Offset 102, 26 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 | 7.29·ms·+-·962·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
108 | 107 | 4.47·ms·+-·204·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
108 | 6.21·ms·+-·31.9·us·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 | 3.78·ms·+-·46.2·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
112 | 5.8·ms·+-· | 113 | 5.84·ms·+-·19.3·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) |
113 | 16.6·ms·+-·73.7·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | ||
114 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) | 114 | In·[5]:·%timeit·-n·1·rng.standard_gamma(3.0,·100000) |
115 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) | 115 | ···...:·%timeit·-n·1·numpy.random.standard_gamma(3.0,·100000) |
116 | ···...: | 116 | ···...: |
117 | 117 | 12.4·ms·+-·30·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·1·loop·each) | |
118 | 118 | 14.3·ms·+-·25.1·us·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 | 119 | ····*·_\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 | 120 | ······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. | 121 | ······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 | 122 | ····*·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. | 123 | ······_\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 | 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 |
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 | 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 |
Offset 140, 38 lines modified | Offset 140, 38 lines modified | ||
140 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m·and·_\x8i_\x8n_\x8t_\x8e_\x8g_\x8e_\x8r_\x8s) | 140 | ··········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) | 141 | ··········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) | 142 | ··········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) | 143 | ··········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() | 144 | In·[6]:·rng·=·np.random.default_rng() |
145 | In·[7]:·rng.random(3,·dtype=np.float64) | 145 | In·[7]:·rng.random(3,·dtype=np.float64) |
146 | Out[7]:·array([0. | 146 | Out[7]:·array([0.44341898,·0.48485351,·0.14821712]) |
147 | In·[8]:·rng.random(3,·dtype=np.float32) | 147 | In·[8]:·rng.random(3,·dtype=np.float32) |
148 | Out[8]:·array([0. | 148 | Out[8]:·array([0.65999645,·0.6686265·,·0.3359151·],·dtype=float32) |
149 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) | 149 | In·[9]:·rng.integers(0,·256,·size=3,·dtype=np.uint8) |
150 | Out[9]:·array([2 | 150 | Out[9]:·array([221,··44,·120],·dtype=uint8) |
151 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select | 151 | ····*·Optional·out·argument·that·allows·existing·arrays·to·be·filled·for·select |
152 | ······distributions | 152 | ······distributions |
153 | ··········o·Uniforms·(_\x8r_\x8a_\x8n_\x8d_\x8o_\x8m) | 153 | ··········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) | 154 | ··········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) | 155 | ··········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) | 156 | ··········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 | 157 | ······This·allows·multithreading·to·fill·large·arrays·in·chunks·using·suitable |
158 | ······BitGenerators·in·parallel. | 158 | ······BitGenerators·in·parallel. |
159 | In·[10]:·rng·=·np.random.default_rng() | 159 | In·[10]:·rng·=·np.random.default_rng() |
160 | In·[11]:·existing·=·np.zeros(4) | 160 | In·[11]:·existing·=·np.zeros(4) |
161 | In·[12]:·rng.random(out=existing[:2]) | 161 | In·[12]:·rng.random(out=existing[:2]) |
162 | Out[12]:·array([0. | 162 | Out[12]:·array([0.52837855,·0.59357937]) |
163 | In·[13]:·print(existing) | 163 | In·[13]:·print(existing) |
164 | [0. | 164 | [0.52837855·0.59357937·0.·········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 | 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 |
166 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- | 166 | ······that·controls·which·axis·an·operation·is·performed·over·for·multi- |
167 | ······dimensional·arrays. | 167 | ······dimensional·arrays. |
168 | In·[14]:·rng·=·np.random.default_rng() | 168 | In·[14]:·rng·=·np.random.default_rng() |
169 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) | 169 | In·[15]:·a·=·np.arange(12).reshape((3,·4)) |
Offset 179, 25 lines modified | Offset 179, 25 lines modified | ||
179 | Out[16]: | 179 | Out[16]: |
180 | array([[·0,··1,··2,··3], | 180 | array([[·0,··1,··2,··3], |
181 | ·······[·4,··5,··6,··7], | 181 | ·······[·4,··5,··6,··7], |
182 | ·······[·8,··9,·10,·11]]) | 182 | ·······[·8,··9,·10,·11]]) |
183 | In·[17]:·rng.choice(a,·axis=1,·size=5) | 183 | In·[17]:·rng.choice(a,·axis=1,·size=5) |
184 | Out[17]: | 184 | Out[17]: |
185 | array([[· | 185 | array([[·3,··2,··1,··2,··0], |
186 | ·······[· | 186 | ·······[·7,··6,··5,··6,··4], |
187 | ·······[· | 187 | ·······[11,·10,··9,·10,··8]]) |
188 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place | 188 | In·[18]:·rng.shuffle(a,·axis=1)········#·Shuffle·in-place |
189 | In·[19]:·a | 189 | In·[19]:·a |
190 | Out[19]: | 190 | Out[19]: |
191 | array([[· | 191 | array([[·1,··0,··3,··2], |
192 | ·······[· | 192 | ·······[·5,··4,··7,··6], |
193 | ·······[ | 193 | ·······[·9,··8,·11,·10]]) |
194 | ····*·Added·a·method·to·sample·from·the·complex·normal·distribution | 194 | ····*·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) | 195 | ······(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 | 196 | _\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 | 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 |
198 | _\x8n_\x8e_\x8x_\x8t | 198 | _\x8n_\x8e_\x8x_\x8t |
199 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e | 199 | _\x8P_\x8e_\x8r_\x8f_\x8o_\x8r_\x8m_\x8a_\x8n_\x8c_\x8e |
200 | ©·Copyright·2008-2025,·NumPy·Developers. | 200 | ©·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([ | 615 | <span·class="gh">Out[4]:·</span><span·class="go">array([·1.07488973,·-0.58555718])</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([4.51 | 622 | <span·class="gh">Out[6]:·</span><span·class="go">Polynomial([4.25144661,·4.83700379],·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([-0.58555718,··1.07488973],·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([ | 155 | Out[4]:·array([·1.07488973,·-0.58555718]) |
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([4.51 | 159 | Out[6]:·Polynomial([4.25144661,·4.83700379],·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([-0.58555718,··1.07488973],·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 32397, 14 lines modified | Offset 32397, 15 lines modified | ||
32397 | ········"06369197489564249":·2458, | 32397 | ········"06369197489564249":·2458, |
32398 | ········"06381726":·349, | 32398 | ········"06381726":·349, |
32399 | ········"0660":·[302,·2131], | 32399 | ········"0660":·[302,·2131], |
32400 | ········"06959433e":·[420,·947], | 32400 | ········"06959433e":·[420,·947], |
32401 | ········"07":·[55,·164,·547,·896,·897,·1335,·2170,·2508], | 32401 | ········"07":·[55,·164,·547,·896,·897,·1335,·2170,·2508], |
32402 | ········"07106781e":·514, | 32402 | ········"07106781e":·514, |
32403 | ········"07407407":·1809, | 32403 | ········"07407407":·1809, |
32404 | ········"07488973":·2488, | ||
32404 | ········"07779185":·2458, | 32405 | ········"07779185":·2458, |
32405 | ········"07937323":·524, | 32406 | ········"07937323":·524, |
32406 | ········"07944154":·[657,·2654], | 32407 | ········"07944154":·[657,·2654], |
32407 | ········"08":·[55,·91,·147,·410,·523,·548,·896,·1095,·2322,·2366,·2413,·2525,·2658], | 32408 | ········"08":·[55,·91,·147,·410,·523,·548,·896,·1095,·2322,·2366,·2413,·2525,·2658], |
32408 | ········"0800":·2525, | 32409 | ········"0800":·2525, |
32409 | ········"08187135":·54, | 32410 | ········"08187135":·54, |
32410 | ········"08333333":·[1645,·1871], | 32411 | ········"08333333":·[1645,·1871], |
Offset 32536, 15 lines modified | Offset 32537, 15 lines modified | ||
32536 | ········"10558":·2536, | 32537 | ········"10558":·2536, |
32537 | ········"10559":·2536, | 32538 | ········"10559":·2536, |
32538 | ········"10560":·2536, | 32539 | ········"10560":·2536, |
32539 | ········"10561":·2536, | 32540 | ········"10561":·2536, |
32540 | ········"10562":·2536, | 32541 | ········"10562":·2536, |
32541 | ········"10563":·2536, | 32542 | ········"10563":·2536, |
32542 | ········"1057109529998157":·2665, | 32543 | ········"1057109529998157":·2665, |
32543 | ········"106":·[55,·524 | 32544 | ········"106":·[55,·524], |
32544 | ········"10607":·2536, | 32545 | ········"10607":·2536, |
32545 | ········"10608":·2536, | 32546 | ········"10608":·2536, |
32546 | ········"10609":·2536, | 32547 | ········"10609":·2536, |
32547 | ········"10610":·2536, | 32548 | ········"10610":·2536, |
32548 | ········"10612":·2536, | 32549 | ········"10612":·2536, |
32549 | ········"10615":·2599, | 32550 | ········"10615":·2599, |
32550 | ········"10622":·2536, | 32551 | ········"10622":·2536, |
Offset 32665, 15 lines modified | Offset 32666, 15 lines modified | ||
32665 | ········"11987":·2541, | 32666 | ········"11987":·2541, |
32666 | ········"11992":·2544, | 32667 | ········"11992":·2544, |
32667 | ········"11995":·2541, | 32668 | ········"11995":·2541, |
32668 | ········"11e":·457, | 32669 | ········"11e":·457, |
32669 | ········"11ee694744f2552d":·13, | 32670 | ········"11ee694744f2552d":·13, |
32670 | ········"11x":·1527, | 32671 | ········"11x":·1527, |
32671 | ········"12":·[8,·25,·28,·29,·40,·47,·52,·54,·55,·58,·59,·61,·67,·78,·79,·98,·107,·108,·134,·136,·140,·141,·147,·153,·215,·270,·336,·354,·355,·363,·364,·366,·367,·371,·374,·375,·403,·409,·435,·439,·441,·453,·489,·520,·523,·524,·530,·538,·566,·568,·628,·661,·669,·680,·863,·880,·881,·905,·916,·941,·963,·1027,·1048,·1069,·1070,·1107,·1116,·1135,·1159,·1160,·1161,·1164,·1166,·1167,·1193,·1194,·1195,·1198,·1204,·1205,·1206,·1212,·1213,·1228,·1229,·1236,·1240,·1247,·1249,·1281,·1312,·1435,·1466,·1510,·1527,·1574,·1577,·1588,·1591,·1601,·1637,·1644,·1650,·1656,·1658,·1707,·1715,·1752,·1765,·1772,·1829,·1864,·1871,·1876,·1885,·1890,·1902,·1904,·1911,·1912,·1913,·1919,·1955,·1986,·2089,·2168,·2204,·2205,·2206,·2208,·2209,·2210,·2223,·2224,·2225,·2237,·2246,·2248,·2299,·2313,·2327,·2328,·2332,·2341,·2342,·2372,·2376,·2384,·2388,·2419,·2423,·2431,·2435,·2457,·2461,·2463,·2477,·2491,·2513,·2514,·2519,·2525,·2531,·2532,·2533,·2534,·2535,·2545,·2547,·2549,·2554,·2557,·2560,·2569,·2570,·2572,·2573,·2575,·2583,·2587,·2588,·2595,·2597,·2599,·2601,·2603,·2604,·2605,·2606,·2622,·2623,·2624,·2625,·2628,·2629,·2630,·2634,·2636,·2637,·2640,·2641,·2644,·2648,·2656,·2658,·2665,·2667], | 32672 | ········"12":·[8,·25,·28,·29,·40,·47,·52,·54,·55,·58,·59,·61,·67,·78,·79,·98,·107,·108,·134,·136,·140,·141,·147,·153,·215,·270,·336,·354,·355,·363,·364,·366,·367,·371,·374,·375,·403,·409,·435,·439,·441,·453,·489,·520,·523,·524,·530,·538,·566,·568,·628,·661,·669,·680,·863,·880,·881,·905,·916,·941,·963,·1027,·1048,·1069,·1070,·1107,·1116,·1135,·1159,·1160,·1161,·1164,·1166,·1167,·1193,·1194,·1195,·1198,·1204,·1205,·1206,·1212,·1213,·1228,·1229,·1236,·1240,·1247,·1249,·1281,·1312,·1435,·1466,·1510,·1527,·1574,·1577,·1588,·1591,·1601,·1637,·1644,·1650,·1656,·1658,·1707,·1715,·1752,·1765,·1772,·1829,·1864,·1871,·1876,·1885,·1890,·1902,·1904,·1911,·1912,·1913,·1919,·1955,·1986,·2089,·2168,·2204,·2205,·2206,·2208,·2209,·2210,·2223,·2224,·2225,·2237,·2246,·2248,·2299,·2313,·2327,·2328,·2332,·2341,·2342,·2372,·2376,·2384,·2388,·2419,·2423,·2431,·2435,·2457,·2461,·2463,·2477,·2491,·2513,·2514,·2519,·2525,·2531,·2532,·2533,·2534,·2535,·2545,·2547,·2549,·2554,·2557,·2560,·2569,·2570,·2572,·2573,·2575,·2583,·2587,·2588,·2595,·2597,·2599,·2601,·2603,·2604,·2605,·2606,·2622,·2623,·2624,·2625,·2628,·2629,·2630,·2634,·2636,·2637,·2640,·2641,·2644,·2648,·2656,·2658,·2665,·2667], |
32672 | ········"120":·[32,·356,·358,·363,·568,·1212,·2225,·2606], | 32673 | ········"120":·[32,·356,·358,·363,·568,·1212,·2225,·2461,·2606], |
32673 | ········"120131":·[1644,·1656], | 32674 | ········"120131":·[1644,·1656], |
32674 | ········"12065":·2594, | 32675 | ········"12065":·2594, |
32675 | ········"12080":·2545, | 32676 | ········"12080":·2545, |
32676 | ········"12083":·2545, | 32677 | ········"12083":·2545, |
32677 | ········"12084":·2545, | 32678 | ········"12084":·2545, |
32678 | ········"12085":·2545, | 32679 | ········"12085":·2545, |
32679 | ········"121":·[431,·2463], | 32680 | ········"121":·[431,·2463], |
Offset 32928, 26 lines modified | Offset 32929, 26 lines modified | ||
32928 | ········"14644661":·1756, | 32929 | ········"14644661":·1756, |
32929 | ········"14673309e":·2665, | 32930 | ········"14673309e":·2665, |
32930 | ········"14682":·2560, | 32931 | ········"14682":·2560, |
32931 | ········"14686":·2553, | 32932 | ········"14686":·2553, |
32932 | ········"14687":·2557, | 32933 | ········"14687":·2557, |
32933 | ········"14692469":·2634, | 32934 | ········"14692469":·2634, |
32934 | ········"146925":·2634, | 32935 | ········"146925":·2634, |
32935 | ········"147":·2461, | ||
32936 | ········"14717":·2560, | 32936 | ········"14717":·2560, |
32937 | ········"14718":·2560, | 32937 | ········"14718":·2560, |
32938 | ········"14720":·2560, | 32938 | ········"14720":·2560, |
32939 | ········"14730":·2560, | 32939 | ········"14730":·2560, |
32940 | ········"14758":·2558, | 32940 | ········"14758":·2558, |
32941 | ········"14771":·2560, | 32941 | ········"14771":·2560, |
32942 | ········"14777":·2560, | 32942 | ········"14777":·2560, |
32943 | ········"14781":·2558, | 32943 | ········"14781":·2558, |
32944 | ········"14787":·2569, | 32944 | ········"14787":·2569, |
32945 | ········"148":·[2344,·2386,·2433,·2463], | 32945 | ········"148":·[2344,·2386,·2433,·2463], |
32946 | ········"14812":·3, | 32946 | ········"14812":·3, |
32947 | ········"14821712":·2461, | ||
32947 | ········"148293216":·2665, | 32948 | ········"148293216":·2665, |
32948 | ········"14841":·2560, | 32949 | ········"14841":·2560, |
32949 | ········"14851":·2558, | 32950 | ········"14851":·2558, |
32950 | ········"14852":·2558, | 32951 | ········"14852":·2558, |
32951 | ········"14853":·2553, | 32952 | ········"14853":·2553, |
32952 | ········"14854":·2553, | 32953 | ········"14854":·2553, |
32953 | ········"14855":·2558, | 32954 | ········"14855":·2558, |
Offset 33020, 15 lines modified | Offset 33021, 14 lines modified | ||
33020 | ········"15355":·2566, | 33021 | ········"15355":·2566, |
33021 | ········"15385":·2566, | 33022 | ········"15385":·2566, |
33022 | ········"154":·[2463,·2665], | 33023 | ········"154":·[2463,·2665], |
33023 | ········"15427":·2566, | 33024 | ········"15427":·2566, |
33024 | ········"15463":·2566, | 33025 | ········"15463":·2566, |
33025 | ········"155":·[2463,·2636], | 33026 | ········"155":·[2463,·2636], |
33026 | ········"15534":·2566, | 33027 | ········"15534":·2566, |
33027 | ········"156":·2461, | ||
33028 | ········"15648":·2566, | 33028 | ········"15648":·2566, |
33029 | ········"15666":·2572, | 33029 | ········"15666":·2572, |
33030 | ········"15675":·2562, | 33030 | ········"15675":·2562, |
33031 | ········"15676":·2562, | 33031 | ········"15676":·2562, |
33032 | ········"15677":·2562, | 33032 | ········"15677":·2562, |
33033 | ········"15679":·2562, | 33033 | ········"15679":·2562, |
33034 | ········"15685":·2566, | 33034 | ········"15685":·2566, |
Offset 33316, 15 lines modified | Offset 33316, 14 lines modified | ||
33316 | ········"18638":·2574, | 33316 | ········"18638":·2574, |
33317 | ········"18657":·2576, | 33317 | ········"18657":·2576, |
33318 | ········"18658":·2576, | 33318 | ········"18658":·2576, |
33319 | ········"18661":·2574, | 33319 | ········"18661":·2574, |
33320 | ········"18666":·2576, | 33320 | ········"18666":·2576, |
33321 | ········"1867":·1643, | 33321 | ········"1867":·1643, |
33322 | ········"18671":·2574, | 33322 | ········"18671":·2574, |
33323 | ········"18675065":·2461, | ||
33324 | ········"18695":·2576, | 33323 | ········"18695":·2576, |
33325 | ········"18697":·2576, | 33324 | ········"18697":·2576, |
33326 | ········"187":·[2332,·2376,·2423], | 33325 | ········"187":·[2332,·2376,·2423], |
33327 | ········"1870":·2611, | 33326 | ········"1870":·2611, |
33328 | ········"18718":·2576, | 33327 | ········"18718":·2576, |
33329 | ········"18737":·2576, | 33328 | ········"18737":·2576, |
33330 | ········"1874":·2611, | 33329 | ········"1874":·2611, |
Offset 33582, 14 lines modified | Offset 33581, 15 lines modified | ||
33582 | ········"20300":·2580, | 33581 | ········"20300":·2580, |
33583 | ········"20302":·2580, | 33582 | ········"20302":·2580, |
33584 | ········"20314":·2583, | 33583 | ········"20314":·2583, |
33585 | ········"20324493e":·54, | 33584 | ········"20324493e":·54, |
33586 | ········"2033":·2612, | 33585 | ········"2033":·2612, |
33587 | ········"20357":·2581, | 33586 | ········"20357":·2581, |
33588 | ········"20394":·2588, | 33587 | ········"20394":·2588, |
33588 | ········"204":·2461, | ||
33589 | ········"20414":·2588, | 33589 | ········"20414":·2588, |
33590 | ········"2045":·2612, | 33590 | ········"2045":·2612, |
33591 | ········"2046":·2612, | 33591 | ········"2046":·2612, |
33592 | ········"20462":·2581, | 33592 | ········"20462":·2581, |
33593 | ········"20463":·2581, | 33593 | ········"20463":·2581, |
33594 | ········"20464":·2581, | 33594 | ········"20464":·2581, |
33595 | ········"20465":·2581, | 33595 | ········"20465":·2581, |
Offset 33597, 15 lines modified | Offset 33597, 14 lines modified | ||
33597 | ········"20467":·2581, | 33597 | ········"20467":·2581, |
33598 | ········"20477401j":·[439,·453], | 33598 | ········"20477401j":·[439,·453], |
33599 | ········"2048":·2612, | 33599 | ········"2048":·2612, |
Max diff block lines reached; 28920/33578 bytes (86.13%) of diff not shown. |