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| </pre><pre class="rust"><code><span class="comment">/* origin: FreeBSD /usr/src/lib/msun/src/e_lgammaf_r.c */</span> |
| <span class="comment">/* |
| * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| */</span> |
| <span class="comment">/* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */</span> |
| |
| <span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">floorf</span>, <span class="ident">k_cosf</span>, <span class="ident">k_sinf</span>, <span class="ident">logf</span>}; |
| |
| <span class="kw">const</span> <span class="ident">PI</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.1415927410e+00</span>; <span class="comment">/* 0x40490fdb */</span> |
| <span class="kw">const</span> <span class="ident">A0</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.7215664089e-02</span>; <span class="comment">/* 0x3d9e233f */</span> |
| <span class="kw">const</span> <span class="ident">A1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.2246702909e-01</span>; <span class="comment">/* 0x3ea51a66 */</span> |
| <span class="kw">const</span> <span class="ident">A2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">6.7352302372e-02</span>; <span class="comment">/* 0x3d89f001 */</span> |
| <span class="kw">const</span> <span class="ident">A3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.0580807701e-02</span>; <span class="comment">/* 0x3ca89915 */</span> |
| <span class="kw">const</span> <span class="ident">A4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.3855509982e-03</span>; <span class="comment">/* 0x3bf2027e */</span> |
| <span class="kw">const</span> <span class="ident">A5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.8905137442e-03</span>; <span class="comment">/* 0x3b3d6ec6 */</span> |
| <span class="kw">const</span> <span class="ident">A6</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.1927076848e-03</span>; <span class="comment">/* 0x3a9c54a1 */</span> |
| <span class="kw">const</span> <span class="ident">A7</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">5.1006977446e-04</span>; <span class="comment">/* 0x3a05b634 */</span> |
| <span class="kw">const</span> <span class="ident">A8</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.2086278477e-04</span>; <span class="comment">/* 0x39679767 */</span> |
| <span class="kw">const</span> <span class="ident">A9</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.0801156895e-04</span>; <span class="comment">/* 0x38e28445 */</span> |
| <span class="kw">const</span> <span class="ident">A10</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.5214456400e-05</span>; <span class="comment">/* 0x37d383a2 */</span> |
| <span class="kw">const</span> <span class="ident">A11</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">4.4864096708e-05</span>; <span class="comment">/* 0x383c2c75 */</span> |
| <span class="kw">const</span> <span class="ident">TC</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.4616321325e+00</span>; <span class="comment">/* 0x3fbb16c3 */</span> |
| <span class="kw">const</span> <span class="ident">TF</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.2148628384e-01</span>; <span class="comment">/* 0xbdf8cdcd */</span> |
| <span class="comment">/* TT = -(tail of TF) */</span> |
| <span class="kw">const</span> <span class="ident">TT</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">6.6971006518e-09</span>; <span class="comment">/* 0x31e61c52 */</span> |
| <span class="kw">const</span> <span class="ident">T0</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">4.8383611441e-01</span>; <span class="comment">/* 0x3ef7b95e */</span> |
| <span class="kw">const</span> <span class="ident">T1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.4758771658e-01</span>; <span class="comment">/* 0xbe17213c */</span> |
| <span class="kw">const</span> <span class="ident">T2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">6.4624942839e-02</span>; <span class="comment">/* 0x3d845a15 */</span> |
| <span class="kw">const</span> <span class="ident">T3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.2788541168e-02</span>; <span class="comment">/* 0xbd064d47 */</span> |
| <span class="kw">const</span> <span class="ident">T4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.7970675603e-02</span>; <span class="comment">/* 0x3c93373d */</span> |
| <span class="kw">const</span> <span class="ident">T5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.0314224288e-02</span>; <span class="comment">/* 0xbc28fcfe */</span> |
| <span class="kw">const</span> <span class="ident">T6</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">6.1005386524e-03</span>; <span class="comment">/* 0x3bc7e707 */</span> |
| <span class="kw">const</span> <span class="ident">T7</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.6845202558e-03</span>; <span class="comment">/* 0xbb7177fe */</span> |
| <span class="kw">const</span> <span class="ident">T8</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.2596477065e-03</span>; <span class="comment">/* 0x3b141699 */</span> |
| <span class="kw">const</span> <span class="ident">T9</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.4034647029e-03</span>; <span class="comment">/* 0xbab7f476 */</span> |
| <span class="kw">const</span> <span class="ident">T10</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">8.8108185446e-04</span>; <span class="comment">/* 0x3a66f867 */</span> |
| <span class="kw">const</span> <span class="ident">T11</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">5.3859531181e-04</span>; <span class="comment">/* 0xba0d3085 */</span> |
| <span class="kw">const</span> <span class="ident">T12</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.1563205994e-04</span>; <span class="comment">/* 0x39a57b6b */</span> |
| <span class="kw">const</span> <span class="ident">T13</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">3.1275415677e-04</span>; <span class="comment">/* 0xb9a3f927 */</span> |
| <span class="kw">const</span> <span class="ident">T14</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.3552918467e-04</span>; <span class="comment">/* 0x39afe9f7 */</span> |
| <span class="kw">const</span> <span class="ident">U0</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.7215664089e-02</span>; <span class="comment">/* 0xbd9e233f */</span> |
| <span class="kw">const</span> <span class="ident">U1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">6.3282704353e-01</span>; <span class="comment">/* 0x3f2200f4 */</span> |
| <span class="kw">const</span> <span class="ident">U2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.4549225569e+00</span>; <span class="comment">/* 0x3fba3ae7 */</span> |
| <span class="kw">const</span> <span class="ident">U3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">9.7771751881e-01</span>; <span class="comment">/* 0x3f7a4bb2 */</span> |
| <span class="kw">const</span> <span class="ident">U4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.2896373272e-01</span>; <span class="comment">/* 0x3e6a7578 */</span> |
| <span class="kw">const</span> <span class="ident">U5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.3381091878e-02</span>; <span class="comment">/* 0x3c5b3c5e */</span> |
| <span class="kw">const</span> <span class="ident">V1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.4559779167e+00</span>; <span class="comment">/* 0x401d2ebe */</span> |
| <span class="kw">const</span> <span class="ident">V2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.1284897327e+00</span>; <span class="comment">/* 0x4008392d */</span> |
| <span class="kw">const</span> <span class="ident">V3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.6928514242e-01</span>; <span class="comment">/* 0x3f44efdf */</span> |
| <span class="kw">const</span> <span class="ident">V4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.0422264785e-01</span>; <span class="comment">/* 0x3dd572af */</span> |
| <span class="kw">const</span> <span class="ident">V5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.2170924824e-03</span>; <span class="comment">/* 0x3b52d5db */</span> |
| <span class="kw">const</span> <span class="ident">S0</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.7215664089e-02</span>; <span class="comment">/* 0xbd9e233f */</span> |
| <span class="kw">const</span> <span class="ident">S1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.1498242021e-01</span>; <span class="comment">/* 0x3e5c245a */</span> |
| <span class="kw">const</span> <span class="ident">S2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.2577878237e-01</span>; <span class="comment">/* 0x3ea6cc7a */</span> |
| <span class="kw">const</span> <span class="ident">S3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.4635047317e-01</span>; <span class="comment">/* 0x3e15dce6 */</span> |
| <span class="kw">const</span> <span class="ident">S4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">2.6642270386e-02</span>; <span class="comment">/* 0x3cda40e4 */</span> |
| <span class="kw">const</span> <span class="ident">S5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.8402845599e-03</span>; <span class="comment">/* 0x3af135b4 */</span> |
| <span class="kw">const</span> <span class="ident">S6</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">3.1947532989e-05</span>; <span class="comment">/* 0x3805ff67 */</span> |
| <span class="kw">const</span> <span class="ident">R1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.3920053244e+00</span>; <span class="comment">/* 0x3fb22d3b */</span> |
| <span class="kw">const</span> <span class="ident">R2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.2193557024e-01</span>; <span class="comment">/* 0x3f38d0c5 */</span> |
| <span class="kw">const</span> <span class="ident">R3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.7193385959e-01</span>; <span class="comment">/* 0x3e300f6e */</span> |
| <span class="kw">const</span> <span class="ident">R4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">1.8645919859e-02</span>; <span class="comment">/* 0x3c98bf54 */</span> |
| <span class="kw">const</span> <span class="ident">R5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.7794247773e-04</span>; <span class="comment">/* 0x3a4beed6 */</span> |
| <span class="kw">const</span> <span class="ident">R6</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.3266842264e-06</span>; <span class="comment">/* 0x36f5d7bd */</span> |
| <span class="kw">const</span> <span class="ident">W0</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">4.1893854737e-01</span>; <span class="comment">/* 0x3ed67f1d */</span> |
| <span class="kw">const</span> <span class="ident">W1</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">8.3333335817e-02</span>; <span class="comment">/* 0x3daaaaab */</span> |
| <span class="kw">const</span> <span class="ident">W2</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">2.7777778450e-03</span>; <span class="comment">/* 0xbb360b61 */</span> |
| <span class="kw">const</span> <span class="ident">W3</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">7.9365057172e-04</span>; <span class="comment">/* 0x3a500cfd */</span> |
| <span class="kw">const</span> <span class="ident">W4</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">5.9518753551e-04</span>; <span class="comment">/* 0xba1c065c */</span> |
| <span class="kw">const</span> <span class="ident">W5</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="number">8.3633989561e-04</span>; <span class="comment">/* 0x3a5b3dd2 */</span> |
| <span class="kw">const</span> <span class="ident">W6</span>: <span class="ident">f32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.6309292987e-03</span>; <span class="comment">/* 0xbad5c4e8 */</span> |
| |
| <span class="comment">/* sin(PI*x) assuming x > 2^-100, if sin(PI*x)==0 the sign is arbitrary */</span> |
| <span class="kw">fn</span> <span class="ident">sin_pi</span>(<span class="kw-2">mut</span> <span class="ident">x</span>: <span class="ident">f32</span>) -> <span class="ident">f32</span> { |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">y</span>: <span class="ident">f64</span>; |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">isize</span>; |
| |
| <span class="comment">/* spurious inexact if odd int */</span> |
| <span class="ident">x</span> <span class="op">=</span> <span class="number">2.0</span> <span class="op">*</span> (<span class="ident">x</span> <span class="op">*</span> <span class="number">0.5</span> <span class="op">-</span> <span class="ident">floorf</span>(<span class="ident">x</span> <span class="op">*</span> <span class="number">0.5</span>)); <span class="comment">/* x mod 2.0 */</span> |
| |
| <span class="ident">n</span> <span class="op">=</span> (<span class="ident">x</span> <span class="op">*</span> <span class="number">4.0</span>) <span class="kw">as</span> <span class="ident">isize</span>; |
| <span class="ident">n</span> <span class="op">=</span> (<span class="ident">n</span> <span class="op">+</span> <span class="number">1</span>) <span class="op">/</span> <span class="number">2</span>; |
| <span class="ident">y</span> <span class="op">=</span> (<span class="ident">x</span> <span class="kw">as</span> <span class="ident">f64</span>) <span class="op">-</span> (<span class="ident">n</span> <span class="kw">as</span> <span class="ident">f64</span>) <span class="op">*</span> <span class="number">0.5</span>; |
| <span class="ident">y</span> <span class="kw-2">*</span><span class="op">=</span> <span class="number">3.14159265358979323846</span>; |
| <span class="kw">match</span> <span class="ident">n</span> { |
| <span class="number">1</span> => <span class="ident">k_cosf</span>(<span class="ident">y</span>), |
| <span class="number">2</span> => <span class="ident">k_sinf</span>(<span class="op">-</span><span class="ident">y</span>), |
| <span class="number">3</span> => <span class="op">-</span><span class="ident">k_cosf</span>(<span class="ident">y</span>), |
| <span class="number">0</span> <span class="op">|</span> <span class="kw">_</span> => <span class="ident">k_sinf</span>(<span class="ident">y</span>), |
| } |
| } |
| |
| <span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">lgammaf_r</span>(<span class="kw-2">mut</span> <span class="ident">x</span>: <span class="ident">f32</span>) -> (<span class="ident">f32</span>, <span class="ident">i32</span>) { |
| <span class="kw">let</span> <span class="ident">u</span> <span class="op">=</span> <span class="ident">x</span>.<span class="ident">to_bits</span>(); |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">t</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">y</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">z</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">nadj</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">p</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">p1</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">p2</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">p3</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">q</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">w</span>: <span class="ident">f32</span>; |
| <span class="kw">let</span> <span class="ident">ix</span>: <span class="ident">u32</span>; |
| <span class="kw">let</span> <span class="ident">i</span>: <span class="ident">i32</span>; |
| <span class="kw">let</span> <span class="ident">sign</span>: <span class="ident">bool</span>; |
| <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">signgam</span>: <span class="ident">i32</span>; |
| |
| <span class="comment">/* purge off +-inf, NaN, +-0, tiny and negative arguments */</span> |
| <span class="ident">signgam</span> <span class="op">=</span> <span class="number">1</span>; |
| <span class="ident">sign</span> <span class="op">=</span> (<span class="ident">u</span> <span class="op">></span><span class="op">></span> <span class="number">31</span>) <span class="op">!</span><span class="op">=</span> <span class="number">0</span>; |
| <span class="ident">ix</span> <span class="op">=</span> <span class="ident">u</span> <span class="op">&</span> <span class="number">0x7fffffff</span>; |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op">></span><span class="op">=</span> <span class="number">0x7f800000</span> { |
| <span class="kw">return</span> (<span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span>, <span class="ident">signgam</span>); |
| } |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op"><</span> <span class="number">0x35000000</span> { |
| <span class="comment">/* |x| < 2**-21, return -log(|x|) */</span> |
| <span class="kw">if</span> <span class="ident">sign</span> { |
| <span class="ident">signgam</span> <span class="op">=</span> <span class="op">-</span><span class="number">1</span>; |
| <span class="ident">x</span> <span class="op">=</span> <span class="op">-</span><span class="ident">x</span>; |
| } |
| <span class="kw">return</span> (<span class="op">-</span><span class="ident">logf</span>(<span class="ident">x</span>), <span class="ident">signgam</span>); |
| } |
| <span class="kw">if</span> <span class="ident">sign</span> { |
| <span class="ident">x</span> <span class="op">=</span> <span class="op">-</span><span class="ident">x</span>; |
| <span class="ident">t</span> <span class="op">=</span> <span class="ident">sin_pi</span>(<span class="ident">x</span>); |
| <span class="kw">if</span> <span class="ident">t</span> <span class="op">==</span> <span class="number">0.0</span> { |
| <span class="comment">/* -integer */</span> |
| <span class="kw">return</span> (<span class="number">1.0</span> <span class="op">/</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">x</span>), <span class="ident">signgam</span>); |
| } |
| <span class="kw">if</span> <span class="ident">t</span> <span class="op">></span> <span class="number">0.0</span> { |
| <span class="ident">signgam</span> <span class="op">=</span> <span class="op">-</span><span class="number">1</span>; |
| } <span class="kw">else</span> { |
| <span class="ident">t</span> <span class="op">=</span> <span class="op">-</span><span class="ident">t</span>; |
| } |
| <span class="ident">nadj</span> <span class="op">=</span> <span class="ident">logf</span>(<span class="ident">PI</span> <span class="op">/</span> (<span class="ident">t</span> <span class="op">*</span> <span class="ident">x</span>)); |
| } <span class="kw">else</span> { |
| <span class="ident">nadj</span> <span class="op">=</span> <span class="number">0.0</span>; |
| } |
| |
| <span class="comment">/* purge off 1 and 2 */</span> |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op">==</span> <span class="number">0x3f800000</span> <span class="op">|</span><span class="op">|</span> <span class="ident">ix</span> <span class="op">==</span> <span class="number">0x40000000</span> { |
| <span class="ident">r</span> <span class="op">=</span> <span class="number">0.0</span>; |
| } |
| <span class="comment">/* for x < 2.0 */</span> |
| <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op"><</span> <span class="number">0x40000000</span> { |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op"><</span><span class="op">=</span> <span class="number">0x3f666666</span> { |
| <span class="comment">/* lgamma(x) = lgamma(x+1)-log(x) */</span> |
| <span class="ident">r</span> <span class="op">=</span> <span class="op">-</span><span class="ident">logf</span>(<span class="ident">x</span>); |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op">></span><span class="op">=</span> <span class="number">0x3f3b4a20</span> { |
| <span class="ident">y</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">-</span> <span class="ident">x</span>; |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">0</span>; |
| } <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op">></span><span class="op">=</span> <span class="number">0x3e6d3308</span> { |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> (<span class="ident">TC</span> <span class="op">-</span> <span class="number">1.0</span>); |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">1</span>; |
| } <span class="kw">else</span> { |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span>; |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">2</span>; |
| } |
| } <span class="kw">else</span> { |
| <span class="ident">r</span> <span class="op">=</span> <span class="number">0.0</span>; |
| <span class="kw">if</span> <span class="ident">ix</span> <span class="op">></span><span class="op">=</span> <span class="number">0x3fdda618</span> { |
| <span class="comment">/* [1.7316,2] */</span> |
| <span class="ident">y</span> <span class="op">=</span> <span class="number">2.0</span> <span class="op">-</span> <span class="ident">x</span>; |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">0</span>; |
| } <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op">></span><span class="op">=</span> <span class="number">0x3F9da620</span> { |
| <span class="comment">/* [1.23,1.73] */</span> |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> <span class="ident">TC</span>; |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">1</span>; |
| } <span class="kw">else</span> { |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> <span class="number">1.0</span>; |
| <span class="ident">i</span> <span class="op">=</span> <span class="number">2</span>; |
| } |
| } |
| <span class="kw">match</span> <span class="ident">i</span> { |
| <span class="number">0</span> => { |
| <span class="ident">z</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">y</span>; |
| <span class="ident">p1</span> <span class="op">=</span> <span class="ident">A0</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A2</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A4</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A6</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A8</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">A10</span>)))); |
| <span class="ident">p2</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A1</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A3</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A5</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A7</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">A9</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">A11</span>))))); |
| <span class="ident">p</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">p1</span> <span class="op">+</span> <span class="ident">p2</span>; |
| <span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="ident">p</span> <span class="op">-</span> <span class="number">0.5</span> <span class="op">*</span> <span class="ident">y</span>; |
| } |
| <span class="number">1</span> => { |
| <span class="ident">z</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">y</span>; |
| <span class="ident">w</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">y</span>; |
| <span class="ident">p1</span> <span class="op">=</span> <span class="ident">T0</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T3</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T6</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T9</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> <span class="ident">T12</span>))); <span class="comment">/* parallel comp */</span> |
| <span class="ident">p2</span> <span class="op">=</span> <span class="ident">T1</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T4</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T7</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T10</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> <span class="ident">T13</span>))); |
| <span class="ident">p3</span> <span class="op">=</span> <span class="ident">T2</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T5</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T8</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">T11</span> <span class="op">+</span> <span class="ident">w</span> <span class="op">*</span> <span class="ident">T14</span>))); |
| <span class="ident">p</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">p1</span> <span class="op">-</span> (<span class="ident">TT</span> <span class="op">-</span> <span class="ident">w</span> <span class="op">*</span> (<span class="ident">p2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">p3</span>)); |
| <span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="ident">TF</span> <span class="op">+</span> <span class="ident">p</span>; |
| } |
| <span class="number">2</span> => { |
| <span class="ident">p1</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">U0</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">U1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">U2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">U3</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">U4</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">U5</span>))))); |
| <span class="ident">p2</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">V1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">V2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">V3</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">V4</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">V5</span>)))); |
| <span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="op">-</span><span class="number">0.5</span> <span class="op">*</span> <span class="ident">y</span> <span class="op">+</span> <span class="ident">p1</span> <span class="op">/</span> <span class="ident">p2</span>; |
| } |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">debug_assertions</span>)]</span> |
| <span class="kw">_</span> => <span class="macro">unreachable!</span>(), |
| <span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">debug_assertions</span>))]</span> |
| <span class="kw">_</span> => {} |
| } |
| } <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op"><</span> <span class="number">0x41000000</span> { |
| <span class="comment">/* x < 8.0 */</span> |
| <span class="ident">i</span> <span class="op">=</span> <span class="ident">x</span> <span class="kw">as</span> <span class="ident">i32</span>; |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">-</span> (<span class="ident">i</span> <span class="kw">as</span> <span class="ident">f32</span>); |
| <span class="ident">p</span> <span class="op">=</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S0</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S3</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S4</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">S5</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">S6</span>)))))); |
| <span class="ident">q</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">R1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">R2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">R3</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">R4</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">R5</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">R6</span>))))); |
| <span class="ident">r</span> <span class="op">=</span> <span class="number">0.5</span> <span class="op">*</span> <span class="ident">y</span> <span class="op">+</span> <span class="ident">p</span> <span class="op">/</span> <span class="ident">q</span>; |
| <span class="ident">z</span> <span class="op">=</span> <span class="number">1.0</span>; <span class="comment">/* lgamma(1+s) = log(s) + lgamma(s) */</span> |
| <span class="comment">// TODO: In C, this was implemented using switch jumps with fallthrough.</span> |
| <span class="comment">// Does this implementation have performance problems?</span> |
| <span class="kw">if</span> <span class="ident">i</span> <span class="op">></span><span class="op">=</span> <span class="number">7</span> { |
| <span class="ident">z</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">y</span> <span class="op">+</span> <span class="number">6.0</span>; |
| } |
| <span class="kw">if</span> <span class="ident">i</span> <span class="op">></span><span class="op">=</span> <span class="number">6</span> { |
| <span class="ident">z</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">y</span> <span class="op">+</span> <span class="number">5.0</span>; |
| } |
| <span class="kw">if</span> <span class="ident">i</span> <span class="op">></span><span class="op">=</span> <span class="number">5</span> { |
| <span class="ident">z</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">y</span> <span class="op">+</span> <span class="number">4.0</span>; |
| } |
| <span class="kw">if</span> <span class="ident">i</span> <span class="op">></span><span class="op">=</span> <span class="number">4</span> { |
| <span class="ident">z</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">y</span> <span class="op">+</span> <span class="number">3.0</span>; |
| } |
| <span class="kw">if</span> <span class="ident">i</span> <span class="op">></span><span class="op">=</span> <span class="number">3</span> { |
| <span class="ident">z</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">y</span> <span class="op">+</span> <span class="number">2.0</span>; |
| <span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="ident">logf</span>(<span class="ident">z</span>); |
| } |
| } <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op"><</span> <span class="number">0x5c800000</span> { |
| <span class="comment">/* 8.0 <= x < 2**58 */</span> |
| <span class="ident">t</span> <span class="op">=</span> <span class="ident">logf</span>(<span class="ident">x</span>); |
| <span class="ident">z</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">/</span> <span class="ident">x</span>; |
| <span class="ident">y</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">z</span>; |
| <span class="ident">w</span> <span class="op">=</span> <span class="ident">W0</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> (<span class="ident">W1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">W2</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">W3</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">W4</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> (<span class="ident">W5</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">W6</span>))))); |
| <span class="ident">r</span> <span class="op">=</span> (<span class="ident">x</span> <span class="op">-</span> <span class="number">0.5</span>) <span class="op">*</span> (<span class="ident">t</span> <span class="op">-</span> <span class="number">1.0</span>) <span class="op">+</span> <span class="ident">w</span>; |
| } <span class="kw">else</span> { |
| <span class="comment">/* 2**58 <= x <= inf */</span> |
| <span class="ident">r</span> <span class="op">=</span> <span class="ident">x</span> <span class="op">*</span> (<span class="ident">logf</span>(<span class="ident">x</span>) <span class="op">-</span> <span class="number">1.0</span>); |
| } |
| <span class="kw">if</span> <span class="ident">sign</span> { |
| <span class="ident">r</span> <span class="op">=</span> <span class="ident">nadj</span> <span class="op">-</span> <span class="ident">r</span>; |
| } |
| <span class="kw">return</span> (<span class="ident">r</span>, <span class="ident">signgam</span>); |
| } |
| </code></pre></div> |
| </section><section id="search" class="content hidden"></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="libm" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.60.0-nightly (1bd4fdc94 2022-01-12)" ></div> |
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