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</pre><pre class="rust"><code><span class="comment">/* origin: FreeBSD /usr/src/lib/msun/src/e_pow.c */</span>
<span class="comment">/*
* ====================================================
* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
*
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/</span>
<span class="comment">// pow(x,y) return x**y</span>
<span class="comment">//</span>
<span class="comment">// n</span>
<span class="comment">// Method: Let x = 2 * (1+f)</span>
<span class="comment">// 1. Compute and return log2(x) in two pieces:</span>
<span class="comment">// log2(x) = w1 + w2,</span>
<span class="comment">// where w1 has 53-24 = 29 bit trailing zeros.</span>
<span class="comment">// 2. Perform y*log2(x) = n+y&#39; by simulating muti-precision</span>
<span class="comment">// arithmetic, where |y&#39;|&lt;=0.5.</span>
<span class="comment">// 3. Return x**y = 2**n*exp(y&#39;*log2)</span>
<span class="comment">//</span>
<span class="comment">// Special cases:</span>
<span class="comment">// 1. (anything) ** 0 is 1</span>
<span class="comment">// 2. 1 ** (anything) is 1</span>
<span class="comment">// 3. (anything except 1) ** NAN is NAN</span>
<span class="comment">// 4. NAN ** (anything except 0) is NAN</span>
<span class="comment">// 5. +-(|x| &gt; 1) ** +INF is +INF</span>
<span class="comment">// 6. +-(|x| &gt; 1) ** -INF is +0</span>
<span class="comment">// 7. +-(|x| &lt; 1) ** +INF is +0</span>
<span class="comment">// 8. +-(|x| &lt; 1) ** -INF is +INF</span>
<span class="comment">// 9. -1 ** +-INF is 1</span>
<span class="comment">// 10. +0 ** (+anything except 0, NAN) is +0</span>
<span class="comment">// 11. -0 ** (+anything except 0, NAN, odd integer) is +0</span>
<span class="comment">// 12. +0 ** (-anything except 0, NAN) is +INF, raise divbyzero</span>
<span class="comment">// 13. -0 ** (-anything except 0, NAN, odd integer) is +INF, raise divbyzero</span>
<span class="comment">// 14. -0 ** (+odd integer) is -0</span>
<span class="comment">// 15. -0 ** (-odd integer) is -INF, raise divbyzero</span>
<span class="comment">// 16. +INF ** (+anything except 0,NAN) is +INF</span>
<span class="comment">// 17. +INF ** (-anything except 0,NAN) is +0</span>
<span class="comment">// 18. -INF ** (+odd integer) is -INF</span>
<span class="comment">// 19. -INF ** (anything) = -0 ** (-anything), (anything except odd integer)</span>
<span class="comment">// 20. (anything) ** 1 is (anything)</span>
<span class="comment">// 21. (anything) ** -1 is 1/(anything)</span>
<span class="comment">// 22. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)</span>
<span class="comment">// 23. (-anything except 0 and inf) ** (non-integer) is NAN</span>
<span class="comment">//</span>
<span class="comment">// Accuracy:</span>
<span class="comment">// pow(x,y) returns x**y nearly rounded. In particular</span>
<span class="comment">// pow(integer,integer)</span>
<span class="comment">// always returns the correct integer provided it is</span>
<span class="comment">// representable.</span>
<span class="comment">//</span>
<span class="comment">// Constants :</span>
<span class="comment">// The hexadecimal values are the intended ones for the following</span>
<span class="comment">// constants. The decimal values may be used, provided that the</span>
<span class="comment">// compiler will convert from decimal to binary accurately enough</span>
<span class="comment">// to produce the hexadecimal values shown.</span>
<span class="comment">//</span>
<span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">fabs</span>, <span class="ident">get_high_word</span>, <span class="ident">scalbn</span>, <span class="ident">sqrt</span>, <span class="ident">with_set_high_word</span>, <span class="ident">with_set_low_word</span>};
<span class="kw">const</span> <span class="ident">BP</span>: [<span class="ident">f64</span>; <span class="number">2</span>] <span class="op">=</span> [<span class="number">1.0</span>, <span class="number">1.5</span>];
<span class="kw">const</span> <span class="ident">DP_H</span>: [<span class="ident">f64</span>; <span class="number">2</span>] <span class="op">=</span> [<span class="number">0.0</span>, <span class="number">5.84962487220764160156e-01</span>]; <span class="comment">/* 0x3fe2b803_40000000 */</span>
<span class="kw">const</span> <span class="ident">DP_L</span>: [<span class="ident">f64</span>; <span class="number">2</span>] <span class="op">=</span> [<span class="number">0.0</span>, <span class="number">1.35003920212974897128e-08</span>]; <span class="comment">/* 0x3E4CFDEB, 0x43CFD006 */</span>
<span class="kw">const</span> <span class="ident">TWO53</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">9007199254740992.0</span>; <span class="comment">/* 0x43400000_00000000 */</span>
<span class="kw">const</span> <span class="ident">HUGE</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0e300</span>;
<span class="kw">const</span> <span class="ident">TINY</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0e-300</span>;
<span class="comment">// poly coefs for (3/2)*(log(x)-2s-2/3*s**3:</span>
<span class="kw">const</span> <span class="ident">L1</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">5.99999999999994648725e-01</span>; <span class="comment">/* 0x3fe33333_33333303 */</span>
<span class="kw">const</span> <span class="ident">L2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">4.28571428578550184252e-01</span>; <span class="comment">/* 0x3fdb6db6_db6fabff */</span>
<span class="kw">const</span> <span class="ident">L3</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">3.33333329818377432918e-01</span>; <span class="comment">/* 0x3fd55555_518f264d */</span>
<span class="kw">const</span> <span class="ident">L4</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.72728123808534006489e-01</span>; <span class="comment">/* 0x3fd17460_a91d4101 */</span>
<span class="kw">const</span> <span class="ident">L5</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.30660745775561754067e-01</span>; <span class="comment">/* 0x3fcd864a_93c9db65 */</span>
<span class="kw">const</span> <span class="ident">L6</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.06975017800338417784e-01</span>; <span class="comment">/* 0x3fca7e28_4a454eef */</span>
<span class="kw">const</span> <span class="ident">P1</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.66666666666666019037e-01</span>; <span class="comment">/* 0x3fc55555_5555553e */</span>
<span class="kw">const</span> <span class="ident">P2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">2.77777777770155933842e-03</span>; <span class="comment">/* 0xbf66c16c_16bebd93 */</span>
<span class="kw">const</span> <span class="ident">P3</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">6.61375632143793436117e-05</span>; <span class="comment">/* 0x3f11566a_af25de2c */</span>
<span class="kw">const</span> <span class="ident">P4</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.65339022054652515390e-06</span>; <span class="comment">/* 0xbebbbd41_c5d26bf1 */</span>
<span class="kw">const</span> <span class="ident">P5</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">4.13813679705723846039e-08</span>; <span class="comment">/* 0x3e663769_72bea4d0 */</span>
<span class="kw">const</span> <span class="ident">LG2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">6.93147180559945286227e-01</span>; <span class="comment">/* 0x3fe62e42_fefa39ef */</span>
<span class="kw">const</span> <span class="ident">LG2_H</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">6.93147182464599609375e-01</span>; <span class="comment">/* 0x3fe62e43_00000000 */</span>
<span class="kw">const</span> <span class="ident">LG2_L</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.90465429995776804525e-09</span>; <span class="comment">/* 0xbe205c61_0ca86c39 */</span>
<span class="kw">const</span> <span class="ident">OVT</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">8.0085662595372944372e-017</span>; <span class="comment">/* -(1024-log2(ovfl+.5ulp)) */</span>
<span class="kw">const</span> <span class="ident">CP</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">9.61796693925975554329e-01</span>; <span class="comment">/* 0x3feec709_dc3a03fd =2/(3ln2) */</span>
<span class="kw">const</span> <span class="ident">CP_H</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">9.61796700954437255859e-01</span>; <span class="comment">/* 0x3feec709_e0000000 =(float)cp */</span>
<span class="kw">const</span> <span class="ident">CP_L</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">7.02846165095275826516e-09</span>; <span class="comment">/* 0xbe3e2fe0_145b01f5 =tail of cp_h*/</span>
<span class="kw">const</span> <span class="ident">IVLN2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.44269504088896338700e+00</span>; <span class="comment">/* 0x3ff71547_652b82fe =1/ln2 */</span>
<span class="kw">const</span> <span class="ident">IVLN2_H</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.44269502162933349609e+00</span>; <span class="comment">/* 0x3ff71547_60000000 =24b 1/ln2*/</span>
<span class="kw">const</span> <span class="ident">IVLN2_L</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.92596299112661746887e-08</span>; <span class="comment">/* 0x3e54ae0b_f85ddf44 =1/ln2 tail*/</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">all</span>(<span class="ident">test</span>, <span class="ident">assert_no_panic</span>), <span class="ident">no_panic::no_panic</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">pow</span>(<span class="ident">x</span>: <span class="ident">f64</span>, <span class="ident">y</span>: <span class="ident">f64</span>) -&gt; <span class="ident">f64</span> {
<span class="kw">let</span> <span class="ident">t1</span>: <span class="ident">f64</span>;
<span class="kw">let</span> <span class="ident">t2</span>: <span class="ident">f64</span>;
<span class="kw">let</span> (<span class="ident">hx</span>, <span class="ident">lx</span>): (<span class="ident">i32</span>, <span class="ident">u32</span>) <span class="op">=</span> ((<span class="ident">x</span>.<span class="ident">to_bits</span>() <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">32</span>) <span class="kw">as</span> <span class="ident">i32</span>, <span class="ident">x</span>.<span class="ident">to_bits</span>() <span class="kw">as</span> <span class="ident">u32</span>);
<span class="kw">let</span> (<span class="ident">hy</span>, <span class="ident">ly</span>): (<span class="ident">i32</span>, <span class="ident">u32</span>) <span class="op">=</span> ((<span class="ident">y</span>.<span class="ident">to_bits</span>() <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">32</span>) <span class="kw">as</span> <span class="ident">i32</span>, <span class="ident">y</span>.<span class="ident">to_bits</span>() <span class="kw">as</span> <span class="ident">u32</span>);
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ix</span>: <span class="ident">i32</span> <span class="op">=</span> (<span class="ident">hx</span> <span class="op">&amp;</span> <span class="number">0x7fffffff</span>) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="kw">let</span> <span class="ident">iy</span>: <span class="ident">i32</span> <span class="op">=</span> (<span class="ident">hy</span> <span class="op">&amp;</span> <span class="number">0x7fffffff</span>) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="comment">/* x**0 = 1, even if x is NaN */</span>
<span class="kw">if</span> ((<span class="ident">iy</span> <span class="kw">as</span> <span class="ident">u32</span>) <span class="op">|</span> <span class="ident">ly</span>) <span class="op">==</span> <span class="number">0</span> {
<span class="kw">return</span> <span class="number">1.0</span>;
}
<span class="comment">/* 1**y = 1, even if y is NaN */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">==</span> <span class="number">0x3ff00000</span> <span class="op">&amp;&amp;</span> <span class="ident">lx</span> <span class="op">==</span> <span class="number">0</span> {
<span class="kw">return</span> <span class="number">1.0</span>;
}
<span class="comment">/* NaN if either arg is NaN */</span>
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&gt;</span> <span class="number">0x7ff00000</span>
<span class="op">|</span><span class="op">|</span> (<span class="ident">ix</span> <span class="op">==</span> <span class="number">0x7ff00000</span> <span class="op">&amp;&amp;</span> <span class="ident">lx</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span>)
<span class="op">|</span><span class="op">|</span> <span class="ident">iy</span> <span class="op">&gt;</span> <span class="number">0x7ff00000</span>
<span class="op">|</span><span class="op">|</span> (<span class="ident">iy</span> <span class="op">==</span> <span class="number">0x7ff00000</span> <span class="op">&amp;&amp;</span> <span class="ident">ly</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span>)
{
<span class="kw">return</span> <span class="ident">x</span> <span class="op">+</span> <span class="ident">y</span>;
}
<span class="comment">/* determine if y is an odd int when x &lt; 0
* yisint = 0 ... y is not an integer
* yisint = 1 ... y is an odd int
* yisint = 2 ... y is an even int
*/</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">yisint</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">k</span>: <span class="ident">i32</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">j</span>: <span class="ident">i32</span>;
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="kw">if</span> <span class="ident">iy</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x43400000</span> {
<span class="ident">yisint</span> <span class="op">=</span> <span class="number">2</span>; <span class="comment">/* even integer y */</span>
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">iy</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x3ff00000</span> {
<span class="ident">k</span> <span class="op">=</span> (<span class="ident">iy</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">20</span>) <span class="op">-</span> <span class="number">0x3ff</span>; <span class="comment">/* exponent */</span>
<span class="kw">if</span> <span class="ident">k</span> <span class="op">&gt;</span> <span class="number">20</span> {
<span class="ident">j</span> <span class="op">=</span> (<span class="ident">ly</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="number">52</span> <span class="op">-</span> <span class="ident">k</span>)) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="kw">if</span> (<span class="ident">j</span> <span class="op">&lt;</span><span class="op">&lt;</span> (<span class="number">52</span> <span class="op">-</span> <span class="ident">k</span>)) <span class="op">==</span> (<span class="ident">ly</span> <span class="kw">as</span> <span class="ident">i32</span>) {
<span class="ident">yisint</span> <span class="op">=</span> <span class="number">2</span> <span class="op">-</span> (<span class="ident">j</span> <span class="op">&amp;</span> <span class="number">1</span>);
}
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ly</span> <span class="op">==</span> <span class="number">0</span> {
<span class="ident">j</span> <span class="op">=</span> <span class="ident">iy</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="number">20</span> <span class="op">-</span> <span class="ident">k</span>);
<span class="kw">if</span> (<span class="ident">j</span> <span class="op">&lt;</span><span class="op">&lt;</span> (<span class="number">20</span> <span class="op">-</span> <span class="ident">k</span>)) <span class="op">==</span> <span class="ident">iy</span> {
<span class="ident">yisint</span> <span class="op">=</span> <span class="number">2</span> <span class="op">-</span> (<span class="ident">j</span> <span class="op">&amp;</span> <span class="number">1</span>);
}
}
}
}
<span class="kw">if</span> <span class="ident">ly</span> <span class="op">==</span> <span class="number">0</span> {
<span class="comment">/* special value of y */</span>
<span class="kw">if</span> <span class="ident">iy</span> <span class="op">==</span> <span class="number">0x7ff00000</span> {
<span class="comment">/* y is +-inf */</span>
<span class="kw">return</span> <span class="kw">if</span> ((<span class="ident">ix</span> <span class="op">-</span> <span class="number">0x3ff00000</span>) <span class="op">|</span> (<span class="ident">lx</span> <span class="kw">as</span> <span class="ident">i32</span>)) <span class="op">==</span> <span class="number">0</span> {
<span class="comment">/* (-1)**+-inf is 1 */</span>
<span class="number">1.0</span>
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">ix</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x3ff00000</span> {
<span class="comment">/* (|x|&gt;1)**+-inf = inf,0 */</span>
<span class="kw">if</span> <span class="ident">hy</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0</span> {
<span class="ident">y</span>
} <span class="kw">else</span> {
<span class="number">0.0</span>
}
} <span class="kw">else</span> {
<span class="comment">/* (|x|&lt;1)**+-inf = 0,inf */</span>
<span class="kw">if</span> <span class="ident">hy</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0</span> {
<span class="number">0.0</span>
} <span class="kw">else</span> {
<span class="op">-</span><span class="ident">y</span>
}
};
}
<span class="kw">if</span> <span class="ident">iy</span> <span class="op">==</span> <span class="number">0x3ff00000</span> {
<span class="comment">/* y is +-1 */</span>
<span class="kw">return</span> <span class="kw">if</span> <span class="ident">hy</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0</span> { <span class="ident">x</span> } <span class="kw">else</span> { <span class="number">1.0</span> <span class="op">/</span> <span class="ident">x</span> };
}
<span class="kw">if</span> <span class="ident">hy</span> <span class="op">==</span> <span class="number">0x40000000</span> {
<span class="comment">/* y is 2 */</span>
<span class="kw">return</span> <span class="ident">x</span> <span class="op">*</span> <span class="ident">x</span>;
}
<span class="kw">if</span> <span class="ident">hy</span> <span class="op">==</span> <span class="number">0x3fe00000</span> {
<span class="comment">/* y is 0.5 */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0</span> {
<span class="comment">/* x &gt;= +0 */</span>
<span class="kw">return</span> <span class="ident">sqrt</span>(<span class="ident">x</span>);
}
}
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ax</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">fabs</span>(<span class="ident">x</span>);
<span class="kw">if</span> <span class="ident">lx</span> <span class="op">==</span> <span class="number">0</span> {
<span class="comment">/* special value of x */</span>
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">==</span> <span class="number">0x7ff00000</span> <span class="op">|</span><span class="op">|</span> <span class="ident">ix</span> <span class="op">==</span> <span class="number">0</span> <span class="op">|</span><span class="op">|</span> <span class="ident">ix</span> <span class="op">==</span> <span class="number">0x3ff00000</span> {
<span class="comment">/* x is +-0,+-inf,+-1 */</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">z</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">ax</span>;
<span class="kw">if</span> <span class="ident">hy</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="comment">/* z = (1/|x|) */</span>
<span class="ident">z</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">/</span> <span class="ident">z</span>;
}
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="kw">if</span> ((<span class="ident">ix</span> <span class="op">-</span> <span class="number">0x3ff00000</span>) <span class="op">|</span> <span class="ident">yisint</span>) <span class="op">==</span> <span class="number">0</span> {
<span class="ident">z</span> <span class="op">=</span> (<span class="ident">z</span> <span class="op">-</span> <span class="ident">z</span>) <span class="op">/</span> (<span class="ident">z</span> <span class="op">-</span> <span class="ident">z</span>); <span class="comment">/* (-1)**non-int is NaN */</span>
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">yisint</span> <span class="op">==</span> <span class="number">1</span> {
<span class="ident">z</span> <span class="op">=</span> <span class="op">-</span><span class="ident">z</span>; <span class="comment">/* (x&lt;0)**odd = -(|x|**odd) */</span>
}
}
<span class="kw">return</span> <span class="ident">z</span>;
}
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">s</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0</span>; <span class="comment">/* sign of result */</span>
<span class="kw">if</span> <span class="ident">hx</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="kw">if</span> <span class="ident">yisint</span> <span class="op">==</span> <span class="number">0</span> {
<span class="comment">/* (x&lt;0)**(non-int) is NaN */</span>
<span class="kw">return</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">x</span>) <span class="op">/</span> (<span class="ident">x</span> <span class="op">-</span> <span class="ident">x</span>);
}
<span class="kw">if</span> <span class="ident">yisint</span> <span class="op">==</span> <span class="number">1</span> {
<span class="comment">/* (x&lt;0)**(odd int) */</span>
<span class="ident">s</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.0</span>;
}
}
<span class="comment">/* |y| is HUGE */</span>
<span class="kw">if</span> <span class="ident">iy</span> <span class="op">&gt;</span> <span class="number">0x41e00000</span> {
<span class="comment">/* if |y| &gt; 2**31 */</span>
<span class="kw">if</span> <span class="ident">iy</span> <span class="op">&gt;</span> <span class="number">0x43f00000</span> {
<span class="comment">/* if |y| &gt; 2**64, must o/uflow */</span>
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&lt;</span><span class="op">=</span> <span class="number">0x3fefffff</span> {
<span class="kw">return</span> <span class="kw">if</span> <span class="ident">hy</span> <span class="op">&lt;</span> <span class="number">0</span> { <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span> } <span class="kw">else</span> { <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span> };
}
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x3ff00000</span> {
<span class="kw">return</span> <span class="kw">if</span> <span class="ident">hy</span> <span class="op">&gt;</span> <span class="number">0</span> { <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span> } <span class="kw">else</span> { <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span> };
}
}
<span class="comment">/* over/underflow if x is not close to one */</span>
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&lt;</span> <span class="number">0x3fefffff</span> {
<span class="kw">return</span> <span class="kw">if</span> <span class="ident">hy</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="ident">s</span> <span class="op">*</span> <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span>
} <span class="kw">else</span> {
<span class="ident">s</span> <span class="op">*</span> <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span>
};
}
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&gt;</span> <span class="number">0x3ff00000</span> {
<span class="kw">return</span> <span class="kw">if</span> <span class="ident">hy</span> <span class="op">&gt;</span> <span class="number">0</span> {
<span class="ident">s</span> <span class="op">*</span> <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span>
} <span class="kw">else</span> {
<span class="ident">s</span> <span class="op">*</span> <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span>
};
}
<span class="comment">/* now |1-x| is TINY &lt;= 2**-20, suffice to compute
log(x) by x-x^2/2+x^3/3-x^4/4 */</span>
<span class="kw">let</span> <span class="ident">t</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">ax</span> <span class="op">-</span> <span class="number">1.0</span>; <span class="comment">/* t has 20 trailing zeros */</span>
<span class="kw">let</span> <span class="ident">w</span>: <span class="ident">f64</span> <span class="op">=</span> (<span class="ident">t</span> <span class="op">*</span> <span class="ident">t</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">0.3333333333333333333333</span> <span class="op">-</span> <span class="ident">t</span> <span class="op">*</span> <span class="number">0.25</span>));
<span class="kw">let</span> <span class="ident">u</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">IVLN2_H</span> <span class="op">*</span> <span class="ident">t</span>; <span class="comment">/* ivln2_h has 21 sig. bits */</span>
<span class="kw">let</span> <span class="ident">v</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">IVLN2_L</span> <span class="op">-</span> <span class="ident">w</span> <span class="op">*</span> <span class="ident">IVLN2</span>;
<span class="ident">t1</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="ident">u</span> <span class="op">+</span> <span class="ident">v</span>, <span class="number">0</span>);
<span class="ident">t2</span> <span class="op">=</span> <span class="ident">v</span> <span class="op">-</span> (<span class="ident">t1</span> <span class="op">-</span> <span class="ident">u</span>);
} <span class="kw">else</span> {
<span class="comment">// double ss,s2,s_h,s_l,t_h,t_l;</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">if</span> <span class="ident">ix</span> <span class="op">&lt;</span> <span class="number">0x00100000</span> {
<span class="comment">/* take care subnormal number */</span>
<span class="ident">ax</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">TWO53</span>;
<span class="ident">n</span> <span class="op">-</span><span class="op">=</span> <span class="number">53</span>;
<span class="ident">ix</span> <span class="op">=</span> <span class="ident">get_high_word</span>(<span class="ident">ax</span>) <span class="kw">as</span> <span class="ident">i32</span>;
}
<span class="ident">n</span> <span class="op">+</span><span class="op">=</span> (<span class="ident">ix</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">20</span>) <span class="op">-</span> <span class="number">0x3ff</span>;
<span class="ident">j</span> <span class="op">=</span> <span class="ident">ix</span> <span class="op">&amp;</span> <span class="number">0x000fffff</span>;
<span class="comment">/* determine interval */</span>
<span class="kw">let</span> <span class="ident">k</span>: <span class="ident">i32</span>;
<span class="ident">ix</span> <span class="op">=</span> <span class="ident">j</span> <span class="op">|</span> <span class="number">0x3ff00000</span>; <span class="comment">/* normalize ix */</span>
<span class="kw">if</span> <span class="ident">j</span> <span class="op">&lt;</span><span class="op">=</span> <span class="number">0x3988E</span> {
<span class="comment">/* |x|&lt;sqrt(3/2) */</span>
<span class="ident">k</span> <span class="op">=</span> <span class="number">0</span>;
} <span class="kw">else</span> <span class="kw">if</span> <span class="ident">j</span> <span class="op">&lt;</span> <span class="number">0xBB67A</span> {
<span class="comment">/* |x|&lt;sqrt(3) */</span>
<span class="ident">k</span> <span class="op">=</span> <span class="number">1</span>;
} <span class="kw">else</span> {
<span class="ident">k</span> <span class="op">=</span> <span class="number">0</span>;
<span class="ident">n</span> <span class="op">+</span><span class="op">=</span> <span class="number">1</span>;
<span class="ident">ix</span> <span class="op">-</span><span class="op">=</span> <span class="number">0x00100000</span>;
}
<span class="ident">ax</span> <span class="op">=</span> <span class="ident">with_set_high_word</span>(<span class="ident">ax</span>, <span class="ident">ix</span> <span class="kw">as</span> <span class="ident">u32</span>);
<span class="comment">/* compute ss = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */</span>
<span class="kw">let</span> <span class="ident">u</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">ax</span> <span class="op">-</span> <span class="ident">BP</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>]; <span class="comment">/* bp[0]=1.0, bp[1]=1.5 */</span>
<span class="kw">let</span> <span class="ident">v</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">/</span> (<span class="ident">ax</span> <span class="op">+</span> <span class="ident">BP</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>]);
<span class="kw">let</span> <span class="ident">ss</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">u</span> <span class="op">*</span> <span class="ident">v</span>;
<span class="kw">let</span> <span class="ident">s_h</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="ident">ss</span>, <span class="number">0</span>);
<span class="comment">/* t_h=ax+bp[k] High */</span>
<span class="kw">let</span> <span class="ident">t_h</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_high_word</span>(
<span class="number">0.0</span>,
((<span class="ident">ix</span> <span class="kw">as</span> <span class="ident">u32</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">1</span>) <span class="op">|</span> <span class="number">0x20000000</span>) <span class="op">+</span> <span class="number">0x00080000</span> <span class="op">+</span> ((<span class="ident">k</span> <span class="kw">as</span> <span class="ident">u32</span>) <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">18</span>),
);
<span class="kw">let</span> <span class="ident">t_l</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">ax</span> <span class="op">-</span> (<span class="ident">t_h</span> <span class="op">-</span> <span class="ident">BP</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>]);
<span class="kw">let</span> <span class="ident">s_l</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">v</span> <span class="op">*</span> ((<span class="ident">u</span> <span class="op">-</span> <span class="ident">s_h</span> <span class="op">*</span> <span class="ident">t_h</span>) <span class="op">-</span> <span class="ident">s_h</span> <span class="op">*</span> <span class="ident">t_l</span>);
<span class="comment">/* compute log(ax) */</span>
<span class="kw">let</span> <span class="ident">s2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">ss</span> <span class="op">*</span> <span class="ident">ss</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">r</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">s2</span> <span class="op">*</span> <span class="ident">s2</span> <span class="op">*</span> (<span class="ident">L1</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">*</span> (<span class="ident">L2</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">*</span> (<span class="ident">L3</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">*</span> (<span class="ident">L4</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">*</span> (<span class="ident">L5</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">*</span> <span class="ident">L6</span>)))));
<span class="ident">r</span> <span class="op">+</span><span class="op">=</span> <span class="ident">s_l</span> <span class="op">*</span> (<span class="ident">s_h</span> <span class="op">+</span> <span class="ident">ss</span>);
<span class="kw">let</span> <span class="ident">s2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">s_h</span> <span class="op">*</span> <span class="ident">s_h</span>;
<span class="kw">let</span> <span class="ident">t_h</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="number">3.0</span> <span class="op">+</span> <span class="ident">s2</span> <span class="op">+</span> <span class="ident">r</span>, <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">t_l</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">r</span> <span class="op">-</span> ((<span class="ident">t_h</span> <span class="op">-</span> <span class="number">3.0</span>) <span class="op">-</span> <span class="ident">s2</span>);
<span class="comment">/* u+v = ss*(1+...) */</span>
<span class="kw">let</span> <span class="ident">u</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">s_h</span> <span class="op">*</span> <span class="ident">t_h</span>;
<span class="kw">let</span> <span class="ident">v</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">s_l</span> <span class="op">*</span> <span class="ident">t_h</span> <span class="op">+</span> <span class="ident">t_l</span> <span class="op">*</span> <span class="ident">ss</span>;
<span class="comment">/* 2/(3log2)*(ss+...) */</span>
<span class="kw">let</span> <span class="ident">p_h</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="ident">u</span> <span class="op">+</span> <span class="ident">v</span>, <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">p_l</span> <span class="op">=</span> <span class="ident">v</span> <span class="op">-</span> (<span class="ident">p_h</span> <span class="op">-</span> <span class="ident">u</span>);
<span class="kw">let</span> <span class="ident">z_h</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">CP_H</span> <span class="op">*</span> <span class="ident">p_h</span>; <span class="comment">/* cp_h+cp_l = 2/(3*log2) */</span>
<span class="kw">let</span> <span class="ident">z_l</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">CP_L</span> <span class="op">*</span> <span class="ident">p_h</span> <span class="op">+</span> <span class="ident">p_l</span> <span class="op">*</span> <span class="ident">CP</span> <span class="op">+</span> <span class="ident">DP_L</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>];
<span class="comment">/* log2(ax) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */</span>
<span class="kw">let</span> <span class="ident">t</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="ident">t1</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(((<span class="ident">z_h</span> <span class="op">+</span> <span class="ident">z_l</span>) <span class="op">+</span> <span class="ident">DP_H</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>]) <span class="op">+</span> <span class="ident">t</span>, <span class="number">0</span>);
<span class="ident">t2</span> <span class="op">=</span> <span class="ident">z_l</span> <span class="op">-</span> (((<span class="ident">t1</span> <span class="op">-</span> <span class="ident">t</span>) <span class="op">-</span> <span class="ident">DP_H</span>[<span class="ident">k</span> <span class="kw">as</span> <span class="ident">usize</span>]) <span class="op">-</span> <span class="ident">z_h</span>);
}
<span class="comment">/* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */</span>
<span class="kw">let</span> <span class="ident">y1</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="ident">y</span>, <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">p_l</span>: <span class="ident">f64</span> <span class="op">=</span> (<span class="ident">y</span> <span class="op">-</span> <span class="ident">y1</span>) <span class="op">*</span> <span class="ident">t1</span> <span class="op">+</span> <span class="ident">y</span> <span class="op">*</span> <span class="ident">t2</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">p_h</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">y1</span> <span class="op">*</span> <span class="ident">t1</span>;
<span class="kw">let</span> <span class="ident">z</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">p_l</span> <span class="op">+</span> <span class="ident">p_h</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">j</span>: <span class="ident">i32</span> <span class="op">=</span> (<span class="ident">z</span>.<span class="ident">to_bits</span>() <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">32</span>) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="kw">let</span> <span class="ident">i</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="ident">z</span>.<span class="ident">to_bits</span>() <span class="kw">as</span> <span class="ident">i32</span>;
<span class="comment">// let (j, i): (i32, i32) = ((z.to_bits() &gt;&gt; 32) as i32, z.to_bits() as i32);</span>
<span class="kw">if</span> <span class="ident">j</span> <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x40900000</span> {
<span class="comment">/* z &gt;= 1024 */</span>
<span class="kw">if</span> (<span class="ident">j</span> <span class="op">-</span> <span class="number">0x40900000</span>) <span class="op">|</span> <span class="ident">i</span> <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="comment">/* if z &gt; 1024 */</span>
<span class="kw">return</span> <span class="ident">s</span> <span class="op">*</span> <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span>; <span class="comment">/* overflow */</span>
}
<span class="kw">if</span> <span class="ident">p_l</span> <span class="op">+</span> <span class="ident">OVT</span> <span class="op">&gt;</span> <span class="ident">z</span> <span class="op">-</span> <span class="ident">p_h</span> {
<span class="kw">return</span> <span class="ident">s</span> <span class="op">*</span> <span class="ident">HUGE</span> <span class="op">*</span> <span class="ident">HUGE</span>; <span class="comment">/* overflow */</span>
}
} <span class="kw">else</span> <span class="kw">if</span> (<span class="ident">j</span> <span class="op">&amp;</span> <span class="number">0x7fffffff</span>) <span class="op">&gt;</span><span class="op">=</span> <span class="number">0x4090cc00</span> {
<span class="comment">/* z &lt;= -1075 */</span>
<span class="comment">// FIXME: instead of abs(j) use unsigned j</span>
<span class="kw">if</span> (((<span class="ident">j</span> <span class="kw">as</span> <span class="ident">u32</span>) <span class="op">-</span> <span class="number">0xc090cc00</span>) <span class="op">|</span> (<span class="ident">i</span> <span class="kw">as</span> <span class="ident">u32</span>)) <span class="op">!</span><span class="op">=</span> <span class="number">0</span> {
<span class="comment">/* z &lt; -1075 */</span>
<span class="kw">return</span> <span class="ident">s</span> <span class="op">*</span> <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span>; <span class="comment">/* underflow */</span>
}
<span class="kw">if</span> <span class="ident">p_l</span> <span class="op">&lt;</span><span class="op">=</span> <span class="ident">z</span> <span class="op">-</span> <span class="ident">p_h</span> {
<span class="kw">return</span> <span class="ident">s</span> <span class="op">*</span> <span class="ident">TINY</span> <span class="op">*</span> <span class="ident">TINY</span>; <span class="comment">/* underflow */</span>
}
}
<span class="comment">/* compute 2**(p_h+p_l) */</span>
<span class="kw">let</span> <span class="ident">i</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="ident">j</span> <span class="op">&amp;</span> (<span class="number">0x7fffffff</span> <span class="kw">as</span> <span class="ident">i32</span>);
<span class="ident">k</span> <span class="op">=</span> (<span class="ident">i</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">20</span>) <span class="op">-</span> <span class="number">0x3ff</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">0</span>;
<span class="kw">if</span> <span class="ident">i</span> <span class="op">&gt;</span> <span class="number">0x3fe00000</span> {
<span class="comment">/* if |z| &gt; 0.5, set n = [z+0.5] */</span>
<span class="ident">n</span> <span class="op">=</span> <span class="ident">j</span> <span class="op">+</span> (<span class="number">0x00100000</span> <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="ident">k</span> <span class="op">+</span> <span class="number">1</span>));
<span class="ident">k</span> <span class="op">=</span> ((<span class="ident">n</span> <span class="op">&amp;</span> <span class="number">0x7fffffff</span>) <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">20</span>) <span class="op">-</span> <span class="number">0x3ff</span>; <span class="comment">/* new k for n */</span>
<span class="kw">let</span> <span class="ident">t</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_high_word</span>(<span class="number">0.0</span>, (<span class="ident">n</span> <span class="op">&amp;</span> <span class="op">!</span>(<span class="number">0x000fffff</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="ident">k</span>)) <span class="kw">as</span> <span class="ident">u32</span>);
<span class="ident">n</span> <span class="op">=</span> ((<span class="ident">n</span> <span class="op">&amp;</span> <span class="number">0x000fffff</span>) <span class="op">|</span> <span class="number">0x00100000</span>) <span class="op">&gt;</span><span class="op">&gt;</span> (<span class="number">20</span> <span class="op">-</span> <span class="ident">k</span>);
<span class="kw">if</span> <span class="ident">j</span> <span class="op">&lt;</span> <span class="number">0</span> {
<span class="ident">n</span> <span class="op">=</span> <span class="op">-</span><span class="ident">n</span>;
}
<span class="ident">p_h</span> <span class="op">-</span><span class="op">=</span> <span class="ident">t</span>;
}
<span class="kw">let</span> <span class="ident">t</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">with_set_low_word</span>(<span class="ident">p_l</span> <span class="op">+</span> <span class="ident">p_h</span>, <span class="number">0</span>);
<span class="kw">let</span> <span class="ident">u</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">LG2_H</span>;
<span class="kw">let</span> <span class="ident">v</span>: <span class="ident">f64</span> <span class="op">=</span> (<span class="ident">p_l</span> <span class="op">-</span> (<span class="ident">t</span> <span class="op">-</span> <span class="ident">p_h</span>)) <span class="op">*</span> <span class="ident">LG2</span> <span class="op">+</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">LG2_L</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">z</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">u</span> <span class="op">+</span> <span class="ident">v</span>;
<span class="kw">let</span> <span class="ident">w</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">v</span> <span class="op">-</span> (<span class="ident">z</span> <span class="op">-</span> <span class="ident">u</span>);
<span class="kw">let</span> <span class="ident">t</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">z</span>;
<span class="kw">let</span> <span class="ident">t1</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">z</span> <span class="op">-</span> <span class="ident">t</span> <span class="op">*</span> (<span class="ident">P1</span> <span class="op">+</span> <span class="ident">t</span> <span class="op">*</span> (<span class="ident">P2</span> <span class="op">+</span> <span class="ident">t</span> <span class="op">*</span> (<span class="ident">P3</span> <span class="op">+</span> <span class="ident">t</span> <span class="op">*</span> (<span class="ident">P4</span> <span class="op">+</span> <span class="ident">t</span> <span class="op">*</span> <span class="ident">P5</span>))));
<span class="kw">let</span> <span class="ident">r</span>: <span class="ident">f64</span> <span class="op">=</span> (<span class="ident">z</span> <span class="op">*</span> <span class="ident">t1</span>) <span class="op">/</span> (<span class="ident">t1</span> <span class="op">-</span> <span class="number">2.0</span>) <span class="op">-</span> (<span class="ident">w</span> <span class="op">+</span> <span class="ident">z</span> <span class="op">*</span> <span class="ident">w</span>);
<span class="ident">z</span> <span class="op">=</span> <span class="number">1.0</span> <span class="op">-</span> (<span class="ident">r</span> <span class="op">-</span> <span class="ident">z</span>);
<span class="ident">j</span> <span class="op">=</span> <span class="ident">get_high_word</span>(<span class="ident">z</span>) <span class="kw">as</span> <span class="ident">i32</span>;
<span class="ident">j</span> <span class="op">+</span><span class="op">=</span> <span class="ident">n</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">20</span>;
<span class="kw">if</span> (<span class="ident">j</span> <span class="op">&gt;</span><span class="op">&gt;</span> <span class="number">20</span>) <span class="op">&lt;</span><span class="op">=</span> <span class="number">0</span> {
<span class="comment">/* subnormal output */</span>
<span class="ident">z</span> <span class="op">=</span> <span class="ident">scalbn</span>(<span class="ident">z</span>, <span class="ident">n</span>);
} <span class="kw">else</span> {
<span class="ident">z</span> <span class="op">=</span> <span class="ident">with_set_high_word</span>(<span class="ident">z</span>, <span class="ident">j</span> <span class="kw">as</span> <span class="ident">u32</span>);
}
<span class="ident">s</span> <span class="op">*</span> <span class="ident">z</span>
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="ident">tests</span> {
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">core</span>;
<span class="kw">use</span> <span class="ident"><span class="self">self</span>::core::f64::consts</span>::{<span class="ident">E</span>, <span class="ident">PI</span>};
<span class="kw">use</span> <span class="ident"><span class="self">self</span>::core::f64</span>::{<span class="ident">EPSILON</span>, <span class="ident">INFINITY</span>, <span class="ident">MAX</span>, <span class="ident">MIN</span>, <span class="ident">MIN_POSITIVE</span>, <span class="ident">NAN</span>, <span class="ident">NEG_INFINITY</span>};
<span class="kw">use</span> <span class="ident"><span class="kw">super</span>::pow</span>;
<span class="kw">const</span> <span class="ident">POS_ZERO</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="number">0.0</span>];
<span class="kw">const</span> <span class="ident">NEG_ZERO</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="op">-</span><span class="number">0.0</span>];
<span class="kw">const</span> <span class="ident">POS_ONE</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="number">1.0</span>];
<span class="kw">const</span> <span class="ident">NEG_ONE</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="op">-</span><span class="number">1.0</span>];
<span class="kw">const</span> <span class="ident">POS_FLOATS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="number">99.0</span> <span class="op">/</span> <span class="number">70.0</span>, <span class="ident">E</span>, <span class="ident">PI</span>];
<span class="kw">const</span> <span class="ident">NEG_FLOATS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="op">-</span><span class="number">99.0</span> <span class="op">/</span> <span class="number">70.0</span>, <span class="op">-</span><span class="ident">E</span>, <span class="op">-</span><span class="ident">PI</span>];
<span class="kw">const</span> <span class="ident">POS_SMALL_FLOATS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[(<span class="number">1.0</span> <span class="op">/</span> <span class="number">2.0</span>), <span class="ident">MIN_POSITIVE</span>, <span class="ident">EPSILON</span>];
<span class="kw">const</span> <span class="ident">NEG_SMALL_FLOATS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="op">-</span>(<span class="number">1.0</span> <span class="op">/</span> <span class="number">2.0</span>), <span class="op">-</span><span class="ident">MIN_POSITIVE</span>, <span class="op">-</span><span class="ident">EPSILON</span>];
<span class="kw">const</span> <span class="ident">POS_EVENS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="number">2.0</span>, <span class="number">6.0</span>, <span class="number">8.0</span>, <span class="number">10.0</span>, <span class="number">22.0</span>, <span class="number">100.0</span>, <span class="ident">MAX</span>];
<span class="kw">const</span> <span class="ident">NEG_EVENS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">MIN</span>, <span class="op">-</span><span class="number">100.0</span>, <span class="op">-</span><span class="number">22.0</span>, <span class="op">-</span><span class="number">10.0</span>, <span class="op">-</span><span class="number">8.0</span>, <span class="op">-</span><span class="number">6.0</span>, <span class="op">-</span><span class="number">2.0</span>];
<span class="kw">const</span> <span class="ident">POS_ODDS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="number">3.0</span>, <span class="number">7.0</span>];
<span class="kw">const</span> <span class="ident">NEG_ODDS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="op">-</span><span class="number">7.0</span>, <span class="op">-</span><span class="number">3.0</span>];
<span class="kw">const</span> <span class="ident">NANS</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">NAN</span>];
<span class="kw">const</span> <span class="ident">POS_INF</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">INFINITY</span>];
<span class="kw">const</span> <span class="ident">NEG_INF</span>: <span class="kw-2">&amp;</span>[<span class="ident">f64</span>] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">NEG_INFINITY</span>];
<span class="kw">const</span> <span class="ident">ALL</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]] <span class="op">=</span> <span class="kw-2">&amp;</span>[
<span class="ident">POS_ZERO</span>,
<span class="ident">NEG_ZERO</span>,
<span class="ident">NANS</span>,
<span class="ident">NEG_SMALL_FLOATS</span>,
<span class="ident">POS_SMALL_FLOATS</span>,
<span class="ident">NEG_FLOATS</span>,
<span class="ident">POS_FLOATS</span>,
<span class="ident">NEG_EVENS</span>,
<span class="ident">POS_EVENS</span>,
<span class="ident">NEG_ODDS</span>,
<span class="ident">POS_ODDS</span>,
<span class="ident">NEG_INF</span>,
<span class="ident">POS_INF</span>,
<span class="ident">NEG_ONE</span>,
<span class="ident">POS_ONE</span>,
];
<span class="kw">const</span> <span class="ident">POS</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">POS_ZERO</span>, <span class="ident">POS_ODDS</span>, <span class="ident">POS_ONE</span>, <span class="ident">POS_FLOATS</span>, <span class="ident">POS_EVENS</span>, <span class="ident">POS_INF</span>];
<span class="kw">const</span> <span class="ident">NEG</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]] <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">NEG_ZERO</span>, <span class="ident">NEG_ODDS</span>, <span class="ident">NEG_ONE</span>, <span class="ident">NEG_FLOATS</span>, <span class="ident">NEG_EVENS</span>, <span class="ident">NEG_INF</span>];
<span class="kw">fn</span> <span class="ident">pow_test</span>(<span class="ident">base</span>: <span class="ident">f64</span>, <span class="ident">exponent</span>: <span class="ident">f64</span>, <span class="ident">expected</span>: <span class="ident">f64</span>) {
<span class="kw">let</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">pow</span>(<span class="ident">base</span>, <span class="ident">exponent</span>);
<span class="macro">assert!</span>(
<span class="kw">if</span> <span class="ident">expected</span>.<span class="ident">is_nan</span>() {
<span class="ident">res</span>.<span class="ident">is_nan</span>()
} <span class="kw">else</span> {
<span class="ident">pow</span>(<span class="ident">base</span>, <span class="ident">exponent</span>) <span class="op">==</span> <span class="ident">expected</span>
},
<span class="string">&quot;{} ** {} was {} instead of {}&quot;</span>,
<span class="ident">base</span>,
<span class="ident">exponent</span>,
<span class="ident">res</span>,
<span class="ident">expected</span>
);
}
<span class="kw">fn</span> <span class="ident">test_sets_as_base</span>(<span class="ident">sets</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]], <span class="ident">exponent</span>: <span class="ident">f64</span>, <span class="ident">expected</span>: <span class="ident">f64</span>) {
<span class="ident">sets</span>.<span class="ident">iter</span>()
.<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">s</span><span class="op">|</span> <span class="ident">s</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">val</span><span class="op">|</span> <span class="ident">pow_test</span>(<span class="kw-2">*</span><span class="ident">val</span>, <span class="ident">exponent</span>, <span class="ident">expected</span>)));
}
<span class="kw">fn</span> <span class="ident">test_sets_as_exponent</span>(<span class="ident">base</span>: <span class="ident">f64</span>, <span class="ident">sets</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]], <span class="ident">expected</span>: <span class="ident">f64</span>) {
<span class="ident">sets</span>.<span class="ident">iter</span>()
.<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">s</span><span class="op">|</span> <span class="ident">s</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">val</span><span class="op">|</span> <span class="ident">pow_test</span>(<span class="ident">base</span>, <span class="kw-2">*</span><span class="ident">val</span>, <span class="ident">expected</span>)));
}
<span class="kw">fn</span> <span class="ident">test_sets</span>(<span class="ident">sets</span>: <span class="kw-2">&amp;</span>[<span class="kw-2">&amp;</span>[<span class="ident">f64</span>]], <span class="ident">computed</span>: <span class="kw-2">&amp;</span><span class="kw">dyn</span> <span class="ident">Fn</span>(<span class="ident">f64</span>) -&gt; <span class="ident">f64</span>, <span class="ident">expected</span>: <span class="kw-2">&amp;</span><span class="kw">dyn</span> <span class="ident">Fn</span>(<span class="ident">f64</span>) -&gt; <span class="ident">f64</span>) {
<span class="ident">sets</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">s</span><span class="op">|</span> {
<span class="ident">s</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">val</span><span class="op">|</span> {
<span class="kw">let</span> <span class="ident">exp</span> <span class="op">=</span> <span class="ident">expected</span>(<span class="kw-2">*</span><span class="ident">val</span>);
<span class="kw">let</span> <span class="ident">res</span> <span class="op">=</span> <span class="ident">computed</span>(<span class="kw-2">*</span><span class="ident">val</span>);
<span class="macro">assert!</span>(
<span class="kw">if</span> <span class="ident">exp</span>.<span class="ident">is_nan</span>() {
<span class="ident">res</span>.<span class="ident">is_nan</span>()
} <span class="kw">else</span> {
<span class="ident">exp</span> <span class="op">==</span> <span class="ident">res</span>
},
<span class="string">&quot;test for {} was {} instead of {}&quot;</span>,
<span class="ident">val</span>,
<span class="ident">res</span>,
<span class="ident">exp</span>
);
})
});
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">zero_as_exponent</span>() {
<span class="ident">test_sets_as_base</span>(<span class="ident">ALL</span>, <span class="number">0.0</span>, <span class="number">1.0</span>);
<span class="ident">test_sets_as_base</span>(<span class="ident">ALL</span>, <span class="op">-</span><span class="number">0.0</span>, <span class="number">1.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">one_as_base</span>() {
<span class="ident">test_sets_as_exponent</span>(<span class="number">1.0</span>, <span class="ident">ALL</span>, <span class="number">1.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">nan_inputs</span>() {
<span class="comment">// NAN as the base:</span>
<span class="comment">// (NAN ^ anything *but 0* should be NAN)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="ident">NAN</span>, <span class="kw-2">&amp;</span><span class="ident">ALL</span>[<span class="number">2</span>..], <span class="ident">NAN</span>);
<span class="comment">// NAN as the exponent:</span>
<span class="comment">// (anything *but 1* ^ NAN should be NAN)</span>
<span class="ident">test_sets_as_base</span>(<span class="kw-2">&amp;</span><span class="ident">ALL</span>[..(<span class="ident">ALL</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="number">2</span>)], <span class="ident">NAN</span>, <span class="ident">NAN</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">infinity_as_base</span>() {
<span class="comment">// Positive Infinity as the base:</span>
<span class="comment">// (+Infinity ^ positive anything but 0 and NAN should be +Infinity)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="ident">INFINITY</span>, <span class="kw-2">&amp;</span><span class="ident">POS</span>[<span class="number">1</span>..], <span class="ident">INFINITY</span>);
<span class="comment">// (+Infinity ^ negative anything except 0 and NAN should be 0.0)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="ident">INFINITY</span>, <span class="kw-2">&amp;</span><span class="ident">NEG</span>[<span class="number">1</span>..], <span class="number">0.0</span>);
<span class="comment">// Negative Infinity as the base:</span>
<span class="comment">// (-Infinity ^ positive odd ints should be -Infinity)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="ident">NEG_INFINITY</span>, <span class="kw-2">&amp;</span>[<span class="ident">POS_ODDS</span>], <span class="ident">NEG_INFINITY</span>);
<span class="comment">// (-Infinity ^ anything but odd ints should be == -0 ^ (-anything))</span>
<span class="comment">// We can lump in pos/neg odd ints here because they don&#39;t seem to</span>
<span class="comment">// cause panics (div by zero) in release mode (I think).</span>
<span class="ident">test_sets</span>(<span class="ident">ALL</span>, <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="ident">NEG_INFINITY</span>, <span class="ident">v</span>), <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="op">-</span><span class="ident">v</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">infinity_as_exponent</span>() {
<span class="comment">// Positive/Negative base greater than 1:</span>
<span class="comment">// (pos/neg &gt; 1 ^ Infinity should be Infinity - note this excludes NAN as the base)</span>
<span class="ident">test_sets_as_base</span>(<span class="kw-2">&amp;</span><span class="ident">ALL</span>[<span class="number">5</span>..(<span class="ident">ALL</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="number">2</span>)], <span class="ident">INFINITY</span>, <span class="ident">INFINITY</span>);
<span class="comment">// (pos/neg &gt; 1 ^ -Infinity should be 0.0)</span>
<span class="ident">test_sets_as_base</span>(<span class="kw-2">&amp;</span><span class="ident">ALL</span>[<span class="number">5</span>..<span class="ident">ALL</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="number">2</span>], <span class="ident">NEG_INFINITY</span>, <span class="number">0.0</span>);
<span class="comment">// Positive/Negative base less than 1:</span>
<span class="kw">let</span> <span class="ident">base_below_one</span> <span class="op">=</span> <span class="kw-2">&amp;</span>[<span class="ident">POS_ZERO</span>, <span class="ident">NEG_ZERO</span>, <span class="ident">NEG_SMALL_FLOATS</span>, <span class="ident">POS_SMALL_FLOATS</span>];
<span class="comment">// (pos/neg &lt; 1 ^ Infinity should be 0.0 - this also excludes NAN as the base)</span>
<span class="ident">test_sets_as_base</span>(<span class="ident">base_below_one</span>, <span class="ident">INFINITY</span>, <span class="number">0.0</span>);
<span class="comment">// (pos/neg &lt; 1 ^ -Infinity should be Infinity)</span>
<span class="ident">test_sets_as_base</span>(<span class="ident">base_below_one</span>, <span class="ident">NEG_INFINITY</span>, <span class="ident">INFINITY</span>);
<span class="comment">// Positive/Negative 1 as the base:</span>
<span class="comment">// (pos/neg 1 ^ Infinity should be 1)</span>
<span class="ident">test_sets_as_base</span>(<span class="kw-2">&amp;</span>[<span class="ident">NEG_ONE</span>, <span class="ident">POS_ONE</span>], <span class="ident">INFINITY</span>, <span class="number">1.0</span>);
<span class="comment">// (pos/neg 1 ^ -Infinity should be 1)</span>
<span class="ident">test_sets_as_base</span>(<span class="kw-2">&amp;</span>[<span class="ident">NEG_ONE</span>, <span class="ident">POS_ONE</span>], <span class="ident">NEG_INFINITY</span>, <span class="number">1.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">zero_as_base</span>() {
<span class="comment">// Positive Zero as the base:</span>
<span class="comment">// (+0 ^ anything positive but 0 and NAN should be +0)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="number">0.0</span>, <span class="kw-2">&amp;</span><span class="ident">POS</span>[<span class="number">1</span>..], <span class="number">0.0</span>);
<span class="comment">// (+0 ^ anything negative but 0 and NAN should be Infinity)</span>
<span class="comment">// (this should panic because we&#39;re dividing by zero)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="number">0.0</span>, <span class="kw-2">&amp;</span><span class="ident">NEG</span>[<span class="number">1</span>..], <span class="ident">INFINITY</span>);
<span class="comment">// Negative Zero as the base:</span>
<span class="comment">// (-0 ^ anything positive but 0, NAN, and odd ints should be +0)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="kw-2">&amp;</span><span class="ident">POS</span>[<span class="number">3</span>..], <span class="number">0.0</span>);
<span class="comment">// (-0 ^ anything negative but 0, NAN, and odd ints should be Infinity)</span>
<span class="comment">// (should panic because of divide by zero)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="kw-2">&amp;</span><span class="ident">NEG</span>[<span class="number">3</span>..], <span class="ident">INFINITY</span>);
<span class="comment">// (-0 ^ positive odd ints should be -0)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="kw-2">&amp;</span>[<span class="ident">POS_ODDS</span>], <span class="op">-</span><span class="number">0.0</span>);
<span class="comment">// (-0 ^ negative odd ints should be -Infinity)</span>
<span class="comment">// (should panic because of divide by zero)</span>
<span class="ident">test_sets_as_exponent</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="kw-2">&amp;</span>[<span class="ident">NEG_ODDS</span>], <span class="ident">NEG_INFINITY</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">special_cases</span>() {
<span class="comment">// One as the exponent:</span>
<span class="comment">// (anything ^ 1 should be anything - i.e. the base)</span>
<span class="ident">test_sets</span>(<span class="ident">ALL</span>, <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="ident">v</span>, <span class="number">1.0</span>), <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">v</span>);
<span class="comment">// Negative One as the exponent:</span>
<span class="comment">// (anything ^ -1 should be 1/anything)</span>
<span class="ident">test_sets</span>(<span class="ident">ALL</span>, <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="ident">v</span>, <span class="op">-</span><span class="number">1.0</span>), <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="number">1.0</span> <span class="op">/</span> <span class="ident">v</span>);
<span class="comment">// Factoring -1 out:</span>
<span class="comment">// (negative anything ^ integer should be (-1 ^ integer) * (positive anything ^ integer))</span>
<span class="kw-2">&amp;</span>[<span class="ident">POS_ZERO</span>, <span class="ident">NEG_ZERO</span>, <span class="ident">POS_ONE</span>, <span class="ident">NEG_ONE</span>, <span class="ident">POS_EVENS</span>, <span class="ident">NEG_EVENS</span>]
.<span class="ident">iter</span>()
.<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">int_set</span><span class="op">|</span> {
<span class="ident">int_set</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">int</span><span class="op">|</span> {
<span class="ident">test_sets</span>(<span class="ident">ALL</span>, <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="op">-</span><span class="ident">v</span>, <span class="kw-2">*</span><span class="ident">int</span>), <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> {
<span class="ident">pow</span>(<span class="op">-</span><span class="number">1.0</span>, <span class="kw-2">*</span><span class="ident">int</span>) <span class="op">*</span> <span class="ident">pow</span>(<span class="ident">v</span>, <span class="kw-2">*</span><span class="ident">int</span>)
});
})
});
<span class="comment">// Negative base (imaginary results):</span>
<span class="comment">// (-anything except 0 and Infinity ^ non-integer should be NAN)</span>
<span class="kw-2">&amp;</span><span class="ident">NEG</span>[<span class="number">1</span>..(<span class="ident">NEG</span>.<span class="ident">len</span>() <span class="op">-</span> <span class="number">1</span>)].<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">set</span><span class="op">|</span> {
<span class="ident">set</span>.<span class="ident">iter</span>().<span class="ident">for_each</span>(<span class="op">|</span><span class="ident">val</span><span class="op">|</span> {
<span class="ident">test_sets</span>(<span class="kw-2">&amp;</span><span class="ident">ALL</span>[<span class="number">3</span>..<span class="number">7</span>], <span class="kw-2">&amp;</span><span class="op">|</span><span class="ident">v</span>: <span class="ident">f64</span><span class="op">|</span> <span class="ident">pow</span>(<span class="kw-2">*</span><span class="ident">val</span>, <span class="ident">v</span>), <span class="kw-2">&amp;</span><span class="op">|</span><span class="kw">_</span><span class="op">|</span> <span class="ident">NAN</span>);
})
});
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">normal_cases</span>() {
<span class="macro">assert_eq!</span>(<span class="ident">pow</span>(<span class="number">2.0</span>, <span class="number">20.0</span>), (<span class="number">1</span> <span class="op">&lt;</span><span class="op">&lt;</span> <span class="number">20</span>) <span class="kw">as</span> <span class="ident">f64</span>);
<span class="macro">assert_eq!</span>(<span class="ident">pow</span>(<span class="op">-</span><span class="number">1.0</span>, <span class="number">9.0</span>), <span class="op">-</span><span class="number">1.0</span>);
<span class="macro">assert!</span>(<span class="ident">pow</span>(<span class="op">-</span><span class="number">1.0</span>, <span class="number">2.2</span>).<span class="ident">is_nan</span>());
<span class="macro">assert!</span>(<span class="ident">pow</span>(<span class="op">-</span><span class="number">1.0</span>, <span class="op">-</span><span class="number">1.14</span>).<span class="ident">is_nan</span>());
}
}
</code></pre></div>
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