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</pre><pre class="rust ">
<span class="comment">// Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT</span>
<span class="comment">// file at the top-level directory of this distribution and at</span>
<span class="comment">// http://rust-lang.org/COPYRIGHT.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license</span>
<span class="comment">// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>
<span class="doccomment">//! This module provides constants which are specific to the implementation</span>
<span class="doccomment">//! of the `f64` floating point data type.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! Mathematically significant numbers are provided in the `consts` sub-module.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! *[See also the `f64` primitive type](../../std/primitive.f64.html).*</span>
<span class="attribute">#![<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">use</span> <span class="ident">intrinsics</span>;
<span class="kw">use</span> <span class="ident">mem</span>;
<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">FpCategory</span> <span class="kw">as</span> <span class="ident">Fp</span>;
<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">Float</span>;
<span class="doccomment">/// The radix or base of the internal representation of `f64`.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">RADIX</span>: <span class="ident">u32</span> <span class="op">=</span> <span class="number">2</span>;
<span class="doccomment">/// Number of significant digits in base 2.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MANTISSA_DIGITS</span>: <span class="ident">u32</span> <span class="op">=</span> <span class="number">53</span>;
<span class="doccomment">/// Approximate number of significant digits in base 10.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">DIGITS</span>: <span class="ident">u32</span> <span class="op">=</span> <span class="number">15</span>;
<span class="doccomment">/// Difference between `1.0` and the next largest representable number.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">EPSILON</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.2204460492503131e-16_f64</span>;
<span class="doccomment">/// Smallest finite `f64` value.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MIN</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.7976931348623157e+308_f64</span>;
<span class="doccomment">/// Smallest positive normal `f64` value.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MIN_POSITIVE</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.2250738585072014e-308_f64</span>;
<span class="doccomment">/// Largest finite `f64` value.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MAX</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.7976931348623157e+308_f64</span>;
<span class="doccomment">/// One greater than the minimum possible normal power of 2 exponent.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MIN_EXP</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="op">-</span><span class="number">1021</span>;
<span class="doccomment">/// Maximum possible power of 2 exponent.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MAX_EXP</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">1024</span>;
<span class="doccomment">/// Minimum possible normal power of 10 exponent.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MIN_10_EXP</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="op">-</span><span class="number">307</span>;
<span class="doccomment">/// Maximum possible power of 10 exponent.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">MAX_10_EXP</span>: <span class="ident">i32</span> <span class="op">=</span> <span class="number">308</span>;
<span class="doccomment">/// Not a Number (NaN).</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">NAN</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.0_f64</span> <span class="op">/</span> <span class="number">0.0_f64</span>;
<span class="doccomment">/// Infinity (∞).</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">INFINITY</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0_f64</span> <span class="op">/</span> <span class="number">0.0_f64</span>;
<span class="doccomment">/// Negative infinity (-∞).</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">NEG_INFINITY</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">1.0_f64</span> <span class="op">/</span> <span class="number">0.0_f64</span>;
<span class="doccomment">/// Basic mathematical constants.</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">mod</span> <span class="ident">consts</span> {
<span class="comment">// FIXME: replace with mathematical constants from cmath.</span>
<span class="doccomment">/// Archimedes' constant (π)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">PI</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">3.14159265358979323846264338327950288_f64</span>;
<span class="doccomment">/// π/2</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_PI_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.57079632679489661923132169163975144_f64</span>;
<span class="doccomment">/// π/3</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_PI_3</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.04719755119659774615421446109316763_f64</span>;
<span class="doccomment">/// π/4</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_PI_4</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.785398163397448309615660845819875721_f64</span>;
<span class="doccomment">/// π/6</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_PI_6</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.52359877559829887307710723054658381_f64</span>;
<span class="doccomment">/// π/8</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_PI_8</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.39269908169872415480783042290993786_f64</span>;
<span class="doccomment">/// 1/π</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_1_PI</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.318309886183790671537767526745028724_f64</span>;
<span class="doccomment">/// 2/π</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_2_PI</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.636619772367581343075535053490057448_f64</span>;
<span class="doccomment">/// 2/sqrt(π)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_2_SQRT_PI</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.12837916709551257389615890312154517_f64</span>;
<span class="doccomment">/// sqrt(2)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">SQRT_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.41421356237309504880168872420969808_f64</span>;
<span class="doccomment">/// 1/sqrt(2)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">FRAC_1_SQRT_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.707106781186547524400844362104849039_f64</span>;
<span class="doccomment">/// Euler's number (e)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">E</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.71828182845904523536028747135266250_f64</span>;
<span class="doccomment">/// log<sub>2</sub>(e)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">LOG2_E</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.44269504088896340735992468100189214_f64</span>;
<span class="doccomment">/// log<sub>10</sub>(e)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">LOG10_E</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.434294481903251827651128918916605082_f64</span>;
<span class="doccomment">/// ln(2)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">LN_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.693147180559945309417232121458176568_f64</span>;
<span class="doccomment">/// ln(10)</span>
<span class="attribute">#[<span class="ident">stable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rust1"</span>, <span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>)]</span>
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">LN_10</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">2.30258509299404568401799145468436421_f64</span>;
}
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"core_float"</span>,
<span class="ident">reason</span> <span class="op">=</span> <span class="string">"stable interface is via `impl f{32,64}` in later crates"</span>,
<span class="ident">issue</span> <span class="op">=</span> <span class="string">"32110"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Float</span> <span class="kw">for</span> <span class="ident">f64</span> {
<span class="kw">type</span> <span class="ident">Bits</span> <span class="op">=</span> <span class="ident">u64</span>;
<span class="doccomment">/// Returns `true` if the number is NaN.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_nan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span> <span class="op">!=</span> <span class="self">self</span>
}
<span class="doccomment">/// Returns `true` if the number is infinite.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_infinite</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span> <span class="op">==</span> <span class="ident">INFINITY</span> <span class="op">||</span> <span class="self">self</span> <span class="op">==</span> <span class="ident">NEG_INFINITY</span>
}
<span class="doccomment">/// Returns `true` if the number is neither infinite or NaN.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_finite</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="op">!</span>(<span class="self">self</span>.<span class="ident">is_nan</span>() <span class="op">||</span> <span class="self">self</span>.<span class="ident">is_infinite</span>())
}
<span class="doccomment">/// Returns `true` if the number is neither zero, infinite, subnormal or NaN.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_normal</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">classify</span>() <span class="op">==</span> <span class="ident">Fp</span>::<span class="ident">Normal</span>
}
<span class="doccomment">/// Returns the floating point category of the number. If only one property</span>
<span class="doccomment">/// is going to be tested, it is generally faster to use the specific</span>
<span class="doccomment">/// predicate instead.</span>
<span class="kw">fn</span> <span class="ident">classify</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">Fp</span> {
<span class="kw">const</span> <span class="ident">EXP_MASK</span>: <span class="ident">u64</span> <span class="op">=</span> <span class="number">0x7ff0000000000000</span>;
<span class="kw">const</span> <span class="ident">MAN_MASK</span>: <span class="ident">u64</span> <span class="op">=</span> <span class="number">0x000fffffffffffff</span>;
<span class="kw">let</span> <span class="ident">bits</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">to_bits</span>();
<span class="kw">match</span> (<span class="ident">bits</span> <span class="op">&</span> <span class="ident">MAN_MASK</span>, <span class="ident">bits</span> <span class="op">&</span> <span class="ident">EXP_MASK</span>) {
(<span class="number">0</span>, <span class="number">0</span>) <span class="op">=></span> <span class="ident">Fp</span>::<span class="ident">Zero</span>,
(_, <span class="number">0</span>) <span class="op">=></span> <span class="ident">Fp</span>::<span class="ident">Subnormal</span>,
(<span class="number">0</span>, <span class="ident">EXP_MASK</span>) <span class="op">=></span> <span class="ident">Fp</span>::<span class="ident">Infinite</span>,
(_, <span class="ident">EXP_MASK</span>) <span class="op">=></span> <span class="ident">Fp</span>::<span class="ident">Nan</span>,
_ <span class="op">=></span> <span class="ident">Fp</span>::<span class="ident">Normal</span>,
}
}
<span class="doccomment">/// Computes the absolute value of `self`. Returns `Float::nan()` if the</span>
<span class="doccomment">/// number is `Float::nan()`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">abs</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">fabsf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns a number that represents the sign of `self`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`</span>
<span class="doccomment">/// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`</span>
<span class="doccomment">/// - `Float::nan()` if the number is `Float::nan()`</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">signum</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_nan</span>() {
<span class="ident">NAN</span>
} <span class="kw">else</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">copysignf64</span>(<span class="number">1.0</span>, <span class="self">self</span>) }
}
}
<span class="doccomment">/// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with</span>
<span class="doccomment">/// positive sign bit and positive infinity.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_sign_positive</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="op">!</span><span class="self">self</span>.<span class="ident">is_sign_negative</span>()
}
<span class="doccomment">/// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with</span>
<span class="doccomment">/// negative sign bit and negative infinity.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_sign_negative</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">to_bits</span>() <span class="op">&</span> <span class="number">0x8000_0000_0000_0000</span> <span class="op">!=</span> <span class="number">0</span>
}
<span class="doccomment">/// Returns the reciprocal (multiplicative inverse) of the number.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">recip</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="number">1.0</span> <span class="op">/</span> <span class="self">self</span>
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">powi</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="ident">i32</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">powif64</span>(<span class="self">self</span>, <span class="ident">n</span>) }
}
<span class="doccomment">/// Converts to degrees, assuming the number is in radians.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_degrees</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="comment">// The division here is correctly rounded with respect to the true</span>
<span class="comment">// value of 180/π. (This differs from f32, where a constant must be</span>
<span class="comment">// used to ensure a correctly rounded result.)</span>
<span class="self">self</span> <span class="op">*</span> (<span class="number">180.0f64</span> <span class="op">/</span> <span class="ident">consts</span>::<span class="ident">PI</span>)
}
<span class="doccomment">/// Converts to radians, assuming the number is in degrees.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_radians</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">let</span> <span class="ident">value</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">PI</span>;
<span class="self">self</span> <span class="op">*</span> (<span class="ident">value</span> <span class="op">/</span> <span class="number">180.0</span>)
}
<span class="doccomment">/// Returns the maximum of the two numbers.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="comment">// IEEE754 says: maxNum(x, y) is the canonicalized number y if x < y, x if y < x, the</span>
<span class="comment">// canonicalized number if one operand is a number and the other a quiet NaN. Otherwise it</span>
<span class="comment">// is either x or y, canonicalized (this means results might differ among implementations).</span>
<span class="comment">// When either x or y is a signalingNaN, then the result is according to 6.2.</span>
<span class="comment">//</span>
<span class="comment">// Since we do not support sNaN in Rust yet, we do not need to handle them.</span>
<span class="comment">// FIXME(nagisa): due to https://bugs.llvm.org/show_bug.cgi?id=33303 we canonicalize by</span>
<span class="comment">// multiplying by 1.0. Should switch to the `canonicalize` when it works.</span>
(<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_nan</span>() <span class="op">||</span> <span class="self">self</span> <span class="op"><</span> <span class="ident">other</span> { <span class="ident">other</span> } <span class="kw">else</span> { <span class="self">self</span> }) <span class="op">*</span> <span class="number">1.0</span>
}
<span class="doccomment">/// Returns the minimum of the two numbers.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="comment">// IEEE754 says: minNum(x, y) is the canonicalized number x if x < y, y if y < x, the</span>
<span class="comment">// canonicalized number if one operand is a number and the other a quiet NaN. Otherwise it</span>
<span class="comment">// is either x or y, canonicalized (this means results might differ among implementations).</span>
<span class="comment">// When either x or y is a signalingNaN, then the result is according to 6.2.</span>
<span class="comment">//</span>
<span class="comment">// Since we do not support sNaN in Rust yet, we do not need to handle them.</span>
<span class="comment">// FIXME(nagisa): due to https://bugs.llvm.org/show_bug.cgi?id=33303 we canonicalize by</span>
<span class="comment">// multiplying by 1.0. Should switch to the `canonicalize` when it works.</span>
(<span class="kw">if</span> <span class="ident">other</span>.<span class="ident">is_nan</span>() <span class="op">||</span> <span class="self">self</span> <span class="op"><</span> <span class="ident">other</span> { <span class="self">self</span> } <span class="kw">else</span> { <span class="ident">other</span> }) <span class="op">*</span> <span class="number">1.0</span>
}
<span class="doccomment">/// Raw transmutation to `u64`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">to_bits</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">u64</span> {
<span class="kw">unsafe</span> { <span class="ident">mem</span>::<span class="ident">transmute</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Raw transmutation from `u64`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">from_bits</span>(<span class="ident">v</span>: <span class="ident">u64</span>) <span class="op">-></span> <span class="self">Self</span> {
<span class="comment">// It turns out the safety issues with sNaN were overblown! Hooray!</span>
<span class="kw">unsafe</span> { <span class="ident">mem</span>::<span class="ident">transmute</span>(<span class="ident">v</span>) }
}
}
</pre>
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