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</pre><pre class="rust ">
<span class="comment">// Copyright 2012-2015 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. Mathematically significant</span>
<span class="doccomment">//! numbers are provided in the `consts` sub-module.</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! *[See also the `f64` primitive type](../primitive.f64.html).*</span>
<span class="attribute">#<span class="op">!</span>[<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="attribute">#<span class="op">!</span>[<span class="ident">allow</span>(<span class="ident">missing_docs</span>)]</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="kw">use</span> <span class="ident">core</span>::<span class="ident">num</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="kw">use</span> <span class="ident">intrinsics</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="kw">use</span> <span class="ident">num</span>::<span class="ident">FpCategory</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">use</span> <span class="ident">core</span>::<span class="ident">f64</span>::{<span class="ident">RADIX</span>, <span class="ident">MANTISSA_DIGITS</span>, <span class="ident">DIGITS</span>, <span class="ident">EPSILON</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">use</span> <span class="ident">core</span>::<span class="ident">f64</span>::{<span class="ident">MIN_EXP</span>, <span class="ident">MAX_EXP</span>, <span class="ident">MIN_10_EXP</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">use</span> <span class="ident">core</span>::<span class="ident">f64</span>::{<span class="ident">MAX_10_EXP</span>, <span class="ident">NAN</span>, <span class="ident">INFINITY</span>, <span class="ident">NEG_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">use</span> <span class="ident">core</span>::<span class="ident">f64</span>::{<span class="ident">MIN</span>, <span class="ident">MIN_POSITIVE</span>, <span class="ident">MAX</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">use</span> <span class="ident">core</span>::<span class="ident">f64</span>::<span class="ident">consts</span>;
<span class="attribute">#[<span class="ident">allow</span>(<span class="ident">dead_code</span>)]</span>
<span class="kw">mod</span> <span class="ident">cmath</span> {
<span class="kw">use</span> <span class="ident">libc</span>::{<span class="ident">c_double</span>, <span class="ident">c_int</span>};
<span class="attribute">#[<span class="ident">link_name</span> <span class="op">=</span> <span class="string">"m"</span>]</span>
<span class="kw">extern</span> {
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">acos</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">asin</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">atan</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">atan2</span>(<span class="ident">a</span>: <span class="ident">c_double</span>, <span class="ident">b</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cbrt</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cosh</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">erf</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">erfc</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">expm1</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fdim</span>(<span class="ident">a</span>: <span class="ident">c_double</span>, <span class="ident">b</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fmax</span>(<span class="ident">a</span>: <span class="ident">c_double</span>, <span class="ident">b</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fmin</span>(<span class="ident">a</span>: <span class="ident">c_double</span>, <span class="ident">b</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fmod</span>(<span class="ident">a</span>: <span class="ident">c_double</span>, <span class="ident">b</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">frexp</span>(<span class="ident">n</span>: <span class="ident">c_double</span>, <span class="ident">value</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">c_int</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ilogb</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_int</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ldexp</span>(<span class="ident">x</span>: <span class="ident">c_double</span>, <span class="ident">n</span>: <span class="ident">c_int</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">logb</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">log1p</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">nextafter</span>(<span class="ident">x</span>: <span class="ident">c_double</span>, <span class="ident">y</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">modf</span>(<span class="ident">n</span>: <span class="ident">c_double</span>, <span class="ident">iptr</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sinh</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">tan</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">tanh</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">tgamma</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="comment">// These are commonly only available for doubles</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">j0</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">j1</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">jn</span>(<span class="ident">i</span>: <span class="ident">c_int</span>, <span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">y0</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">y1</span>(<span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">yn</span>(<span class="ident">i</span>: <span class="ident">c_int</span>, <span class="ident">n</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">all</span>(<span class="ident">windows</span>, <span class="ident">target_env</span> <span class="op">=</span> <span class="string">"msvc"</span>), <span class="ident">link_name</span> <span class="op">=</span> <span class="string">"__lgamma_r"</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">lgamma_r</span>(<span class="ident">n</span>: <span class="ident">c_double</span>, <span class="ident">sign</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">c_int</span>) <span class="op">-></span> <span class="ident">c_double</span>;
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">all</span>(<span class="ident">windows</span>, <span class="ident">target_env</span> <span class="op">=</span> <span class="string">"msvc"</span>), <span class="ident">link_name</span> <span class="op">=</span> <span class="string">"_hypot"</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">hypot</span>(<span class="ident">x</span>: <span class="ident">c_double</span>, <span class="ident">y</span>: <span class="ident">c_double</span>) <span class="op">-></span> <span class="ident">c_double</span>;
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">test</span>))]</span>
<span class="attribute">#[<span class="ident">lang</span> <span class="op">=</span> <span class="string">"f64"</span>]</span>
<span class="kw">impl</span> <span class="ident">f64</span> {
<span class="doccomment">/// Returns `true` if this value is `NaN` and false otherwise.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let nan = f64::NAN;</span>
<span class="doccomment">/// let f = 7.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(nan.is_nan());</span>
<span class="doccomment">/// assert!(!f.is_nan());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_nan</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns `true` if this value is positive infinity or negative infinity and</span>
<span class="doccomment">/// false otherwise.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = 7.0f64;</span>
<span class="doccomment">/// let inf = f64::INFINITY;</span>
<span class="doccomment">/// let neg_inf = f64::NEG_INFINITY;</span>
<span class="doccomment">/// let nan = f64::NAN;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(!f.is_infinite());</span>
<span class="doccomment">/// assert!(!nan.is_infinite());</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(inf.is_infinite());</span>
<span class="doccomment">/// assert!(neg_inf.is_infinite());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_infinite</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns `true` if this number is neither infinite nor `NaN`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = 7.0f64;</span>
<span class="doccomment">/// let inf: f64 = f64::INFINITY;</span>
<span class="doccomment">/// let neg_inf: f64 = f64::NEG_INFINITY;</span>
<span class="doccomment">/// let nan: f64 = f64::NAN;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(f.is_finite());</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(!nan.is_finite());</span>
<span class="doccomment">/// assert!(!inf.is_finite());</span>
<span class="doccomment">/// assert!(!neg_inf.is_finite());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_finite</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns `true` if the number is neither zero, infinite,</span>
<span class="doccomment">/// [subnormal][subnormal], or `NaN`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let min = f64::MIN_POSITIVE; // 2.2250738585072014e-308f64</span>
<span class="doccomment">/// let max = f64::MAX;</span>
<span class="doccomment">/// let lower_than_min = 1.0e-308_f64;</span>
<span class="doccomment">/// let zero = 0.0f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(min.is_normal());</span>
<span class="doccomment">/// assert!(max.is_normal());</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(!zero.is_normal());</span>
<span class="doccomment">/// assert!(!f64::NAN.is_normal());</span>
<span class="doccomment">/// assert!(!f64::INFINITY.is_normal());</span>
<span class="doccomment">/// // Values between `0` and `min` are Subnormal.</span>
<span class="doccomment">/// assert!(!lower_than_min.is_normal());</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// [subnormal]: https://en.wikipedia.org/wiki/Denormal_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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_normal</span>(<span class="self">self</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="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::num::FpCategory;</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let num = 12.4_f64;</span>
<span class="doccomment">/// let inf = f64::INFINITY;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(num.classify(), FpCategory::Normal);</span>
<span class="doccomment">/// assert_eq!(inf.classify(), FpCategory::Infinite);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">classify</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">FpCategory</span> { <span class="ident">num</span>::<span class="ident">Float</span>::<span class="ident">classify</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns the largest integer less than or equal to a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 3.99_f64;</span>
<span class="doccomment">/// let g = 3.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(f.floor(), 3.0);</span>
<span class="doccomment">/// assert_eq!(g.floor(), 3.0);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">floor</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">floorf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns the smallest integer greater than or equal to a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 3.01_f64;</span>
<span class="doccomment">/// let g = 4.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(f.ceil(), 4.0);</span>
<span class="doccomment">/// assert_eq!(g.ceil(), 4.0);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ceil</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">ceilf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns the nearest integer to a number. Round half-way cases away from</span>
<span class="doccomment">/// `0.0`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 3.3_f64;</span>
<span class="doccomment">/// let g = -3.3_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(f.round(), 3.0);</span>
<span class="doccomment">/// assert_eq!(g.round(), -3.0);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">round</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">roundf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns the integer part of a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 3.3_f64;</span>
<span class="doccomment">/// let g = -3.7_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(f.trunc(), 3.0);</span>
<span class="doccomment">/// assert_eq!(g.trunc(), -3.0);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">trunc</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">truncf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns the fractional part of a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 3.5_f64;</span>
<span class="doccomment">/// let y = -3.5_f64;</span>
<span class="doccomment">/// let abs_difference_x = (x.fract() - 0.5).abs();</span>
<span class="doccomment">/// let abs_difference_y = (y.fract() - (-0.5)).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fract</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> { <span class="self">self</span> <span class="op">-</span> <span class="self">self</span>.<span class="ident">trunc</span>() }
<span class="doccomment">/// Computes the absolute value of `self`. Returns `NAN` if the</span>
<span class="doccomment">/// number is `NAN`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = 3.5_f64;</span>
<span class="doccomment">/// let y = -3.5_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference_x = (x.abs() - x).abs();</span>
<span class="doccomment">/// let abs_difference_y = (y.abs() - (-y)).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(f64::NAN.abs().is_nan());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">abs</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 `INFINITY`</span>
<span class="doccomment">/// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`</span>
<span class="doccomment">/// - `NAN` if the number is `NAN`</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = 3.5_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(f.signum(), 1.0);</span>
<span class="doccomment">/// assert_eq!(f64::NEG_INFINITY.signum(), -1.0);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(f64::NAN.signum().is_nan());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">signum</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns `true` if `self`'s sign bit is positive, including</span>
<span class="doccomment">/// `+0.0` and `INFINITY`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let nan: f64 = f64::NAN;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = 7.0_f64;</span>
<span class="doccomment">/// let g = -7.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(f.is_sign_positive());</span>
<span class="doccomment">/// assert!(!g.is_sign_positive());</span>
<span class="doccomment">/// // Requires both tests to determine if is `NaN`</span>
<span class="doccomment">/// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_sign_positive</span>(<span class="self">self</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="attribute">#[<span class="ident">rustc_deprecated</span>(<span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>, <span class="ident">reason</span> <span class="op">=</span> <span class="string">"renamed to is_sign_positive"</span>)]</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">is_positive</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> { <span class="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_sign_positive</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns `true` if `self`'s sign is negative, including `-0.0`</span>
<span class="doccomment">/// and `NEG_INFINITY`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let nan = f64::NAN;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = 7.0_f64;</span>
<span class="doccomment">/// let g = -7.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(!f.is_sign_negative());</span>
<span class="doccomment">/// assert!(g.is_sign_negative());</span>
<span class="doccomment">/// // Requires both tests to determine if is `NaN`.</span>
<span class="doccomment">/// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_sign_negative</span>(<span class="self">self</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="attribute">#[<span class="ident">rustc_deprecated</span>(<span class="ident">since</span> <span class="op">=</span> <span class="string">"1.0.0"</span>, <span class="ident">reason</span> <span class="op">=</span> <span class="string">"renamed to is_sign_negative"</span>)]</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">is_negative</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">bool</span> { <span class="ident">num</span>::<span class="ident">Float</span>::<span class="ident">is_sign_negative</span>(<span class="self">self</span>) }
<span class="doccomment">/// Fused multiply-add. Computes `(self * a) + b` with only one rounding</span>
<span class="doccomment">/// error. This produces a more accurate result with better performance than</span>
<span class="doccomment">/// a separate multiplication operation followed by an add.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let m = 10.0_f64;</span>
<span class="doccomment">/// let x = 4.0_f64;</span>
<span class="doccomment">/// let b = 60.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // 100.0</span>
<span class="doccomment">/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="ident">f64</span>, <span class="ident">b</span>: <span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">fmaf64</span>(<span class="self">self</span>, <span class="ident">a</span>, <span class="ident">b</span>) }
}
<span class="doccomment">/// Takes the reciprocal (inverse) of a number, `1/x`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 2.0_f64;</span>
<span class="doccomment">/// let abs_difference = (x.recip() - (1.0/x)).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">recip</span>(<span class="self">self</span>) }
<span class="doccomment">/// Raises a number to an integer power.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Using this function is generally faster than using `powf`</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 2.0_f64;</span>
<span class="doccomment">/// let abs_difference = (x.powi(2) - x*x).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">powi</span>(<span class="self">self</span>, <span class="ident">n</span>) }
<span class="doccomment">/// Raises a number to a floating point power.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 2.0_f64;</span>
<span class="doccomment">/// let abs_difference = (x.powf(2.0) - x*x).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">powf</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">powf64</span>(<span class="self">self</span>, <span class="ident">n</span>) }
}
<span class="doccomment">/// Takes the square root of a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Returns NaN if `self` is a negative number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let positive = 4.0_f64;</span>
<span class="doccomment">/// let negative = -4.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (positive.sqrt() - 2.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// assert!(negative.sqrt().is_nan());</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sqrt</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="op"><</span> <span class="number">0.0</span> {
<span class="ident">NAN</span>
} <span class="kw">else</span> {
<span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">sqrtf64</span>(<span class="self">self</span>) }
}
}
<span class="doccomment">/// Returns `e^(self)`, (the exponential function).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let one = 1.0_f64;</span>
<span class="doccomment">/// // e^1</span>
<span class="doccomment">/// let e = one.exp();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // ln(e) - 1 == 0</span>
<span class="doccomment">/// let abs_difference = (e.ln() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">exp</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">expf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns `2^(self)`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 2.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // 2^2 - 4 == 0</span>
<span class="doccomment">/// let abs_difference = (f.exp2() - 4.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">exp2</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">exp2f64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns the natural logarithm of the number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let one = 1.0_f64;</span>
<span class="doccomment">/// // e^1</span>
<span class="doccomment">/// let e = one.exp();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // ln(e) - 1 == 0</span>
<span class="doccomment">/// let abs_difference = (e.ln() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ln</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="self">self</span>.<span class="ident">log_wrapper</span>(<span class="op">|</span><span class="ident">n</span><span class="op">|</span> { <span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">logf64</span>(<span class="ident">n</span>) } })
}
<span class="doccomment">/// Returns the logarithm of the number with respect to an arbitrary base.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let ten = 10.0_f64;</span>
<span class="doccomment">/// let two = 2.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // log10(10) - 1 == 0</span>
<span class="doccomment">/// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // log2(2) - 1 == 0</span>
<span class="doccomment">/// let abs_difference_2 = (two.log(2.0) - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_10 < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_2 < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">log</span>(<span class="self">self</span>, <span class="ident">base</span>: <span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span> { <span class="self">self</span>.<span class="ident">ln</span>() <span class="op">/</span> <span class="ident">base</span>.<span class="ident">ln</span>() }
<span class="doccomment">/// Returns the base 2 logarithm of the number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let two = 2.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // log2(2) - 1 == 0</span>
<span class="doccomment">/// let abs_difference = (two.log2() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">log2</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="self">self</span>.<span class="ident">log_wrapper</span>(<span class="op">|</span><span class="ident">n</span><span class="op">|</span> {
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">target_os</span> <span class="op">=</span> <span class="string">"android"</span>)]</span>
<span class="kw">return</span> ::<span class="ident">sys</span>::<span class="ident">android</span>::<span class="ident">log2f64</span>(<span class="ident">n</span>);
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">target_os</span> <span class="op">=</span> <span class="string">"android"</span>))]</span>
<span class="kw">return</span> <span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">log2f64</span>(<span class="ident">n</span>) };
})
}
<span class="doccomment">/// Returns the base 10 logarithm of the number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let ten = 10.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // log10(10) - 1 == 0</span>
<span class="doccomment">/// let abs_difference = (ten.log10() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">log10</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="self">self</span>.<span class="ident">log_wrapper</span>(<span class="op">|</span><span class="ident">n</span><span class="op">|</span> { <span class="kw">unsafe</span> { <span class="ident">intrinsics</span>::<span class="ident">log10f64</span>(<span class="ident">n</span>) } })
}
<span class="doccomment">/// Converts radians to degrees.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64::consts;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let angle = consts::PI;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (angle.to_degrees() - 180.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">to_degrees</span>(<span class="self">self</span>) }
<span class="doccomment">/// Converts degrees to radians.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64::consts;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let angle = 180.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (angle.to_radians() - consts::PI).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="ident">num</span>::<span class="ident">Float</span>::<span class="ident">to_radians</span>(<span class="self">self</span>) }
<span class="doccomment">/// Returns the maximum of the two numbers.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">/// let y = 2.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(x.max(y), y);</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// If one of the arguments is NaN, then the other argument is returned.</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">fmax</span>(<span class="self">self</span>, <span class="ident">other</span>) }
}
<span class="doccomment">/// Returns the minimum of the two numbers.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">/// let y = 2.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert_eq!(x.min(y), x);</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">///</span>
<span class="doccomment">/// If one of the arguments is NaN, then the other argument is returned.</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">fmin</span>(<span class="self">self</span>, <span class="ident">other</span>) }
}
<span class="doccomment">/// The positive difference of two numbers.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// * If `self <= other`: `0:0`</span>
<span class="doccomment">/// * Else: `self - other`</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 3.0_f64;</span>
<span class="doccomment">/// let y = -3.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();</span>
<span class="doccomment">/// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_x < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_y < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="attribute">#[<span class="ident">rustc_deprecated</span>(<span class="ident">since</span> <span class="op">=</span> <span class="string">"1.10.0"</span>,
<span class="ident">reason</span> <span class="op">=</span> <span class="string">"you probably meant `(self - other).abs()`: \
this operation is `(self - other).max(0.0)` (also \
known as `fdim` in C). If you truly need the positive \
difference, consider using that expression or the C function \
`fdim`, depending on how you wish to handle NaN (please consider \
filing an issue describing your use-case too)."</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">abs_sub</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="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">fdim</span>(<span class="self">self</span>, <span class="ident">other</span>) }
}
<span class="doccomment">/// Takes the cubic root of a number.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 8.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // x^(1/3) - 2 == 0</span>
<span class="doccomment">/// let abs_difference = (x.cbrt() - 2.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cbrt</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">cbrt</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Calculates the length of the hypotenuse of a right-angle triangle given</span>
<span class="doccomment">/// legs of length `x` and `y`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 2.0_f64;</span>
<span class="doccomment">/// let y = 3.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // sqrt(x^2 + y^2)</span>
<span class="doccomment">/// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">hypot</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="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">hypot</span>(<span class="self">self</span>, <span class="ident">other</span>) }
}
<span class="doccomment">/// Computes the sine of a number (in radians).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = f64::consts::PI/2.0;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (x.sin() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sin</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">sinf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the cosine of a number (in radians).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = 2.0*f64::consts::PI;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (x.cos() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cos</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">cosf64</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the tangent of a number (in radians).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = f64::consts::PI/4.0;</span>
<span class="doccomment">/// let abs_difference = (x.tan() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-14);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">tan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">tan</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the arcsine of a number. Return value is in radians in</span>
<span class="doccomment">/// the range [-pi/2, pi/2] or NaN if the number is outside the range</span>
<span class="doccomment">/// [-1, 1].</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = f64::consts::PI / 2.0;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // asin(sin(pi/2))</span>
<span class="doccomment">/// let abs_difference = (f.sin().asin() - f64::consts::PI / 2.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">asin</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">asin</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the arccosine of a number. Return value is in radians in</span>
<span class="doccomment">/// the range [0, pi] or NaN if the number is outside the range</span>
<span class="doccomment">/// [-1, 1].</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = f64::consts::PI / 4.0;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // acos(cos(pi/4))</span>
<span class="doccomment">/// let abs_difference = (f.cos().acos() - f64::consts::PI / 4.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">acos</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">acos</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the arctangent of a number. Return value is in radians in the</span>
<span class="doccomment">/// range [-pi/2, pi/2];</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let f = 1.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // atan(tan(1))</span>
<span class="doccomment">/// let abs_difference = (f.tan().atan() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">atan</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">atan</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`).</span>
<span class="doccomment">///</span>
<span class="doccomment">/// * `x = 0`, `y = 0`: `0`</span>
<span class="doccomment">/// * `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]`</span>
<span class="doccomment">/// * `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]`</span>
<span class="doccomment">/// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)`</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let pi = f64::consts::PI;</span>
<span class="doccomment">/// // All angles from horizontal right (+x)</span>
<span class="doccomment">/// // 45 deg counter-clockwise</span>
<span class="doccomment">/// let x1 = 3.0_f64;</span>
<span class="doccomment">/// let y1 = -3.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // 135 deg clockwise</span>
<span class="doccomment">/// let x2 = -3.0_f64;</span>
<span class="doccomment">/// let y2 = 3.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference_1 = (y1.atan2(x1) - (-pi/4.0)).abs();</span>
<span class="doccomment">/// let abs_difference_2 = (y2.atan2(x2) - 3.0*pi/4.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_1 < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_2 < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">atan2</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="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">atan2</span>(<span class="self">self</span>, <span class="ident">other</span>) }
}
<span class="doccomment">/// Simultaneously computes the sine and cosine of the number, `x`. Returns</span>
<span class="doccomment">/// `(sin(x), cos(x))`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = f64::consts::PI/4.0;</span>
<span class="doccomment">/// let f = x.sin_cos();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference_0 = (f.0 - x.sin()).abs();</span>
<span class="doccomment">/// let abs_difference_1 = (f.1 - x.cos()).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference_0 < 1e-10);</span>
<span class="doccomment">/// assert!(abs_difference_1 < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sin_cos</span>(<span class="self">self</span>) <span class="op">-></span> (<span class="ident">f64</span>, <span class="ident">f64</span>) {
(<span class="self">self</span>.<span class="ident">sin</span>(), <span class="self">self</span>.<span class="ident">cos</span>())
}
<span class="doccomment">/// Returns `e^(self) - 1` in a way that is accurate even if the</span>
<span class="doccomment">/// number is close to zero.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 7.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // e^(ln(7)) - 1</span>
<span class="doccomment">/// let abs_difference = (x.ln().exp_m1() - 6.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">exp_m1</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">expm1</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Returns `ln(1+n)` (natural logarithm) more accurately than if</span>
<span class="doccomment">/// the operations were performed separately.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let x = f64::consts::E - 1.0;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // ln(1 + (e - 1)) == ln(e) == 1</span>
<span class="doccomment">/// let abs_difference = (x.ln_1p() - 1.0).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ln_1p</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">log1p</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Hyperbolic sine function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let e = f64::consts::E;</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = x.sinh();</span>
<span class="doccomment">/// // Solving sinh() at 1 gives `(e^2-1)/(2e)`</span>
<span class="doccomment">/// let g = (e*e - 1.0)/(2.0*e);</span>
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">sinh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">sinh</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Hyperbolic cosine function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let e = f64::consts::E;</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">/// let f = x.cosh();</span>
<span class="doccomment">/// // Solving cosh() at 1 gives this result</span>
<span class="doccomment">/// let g = (e*e + 1.0)/(2.0*e);</span>
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// // Same result</span>
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">cosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">cosh</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Hyperbolic tangent function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let e = f64::consts::E;</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let f = x.tanh();</span>
<span class="doccomment">/// // Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`</span>
<span class="doccomment">/// let g = (1.0 - e.powi(-2))/(1.0 + e.powi(-2));</span>
<span class="doccomment">/// let abs_difference = (f - g).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">tanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">unsafe</span> { <span class="ident">cmath</span>::<span class="ident">tanh</span>(<span class="self">self</span>) }
}
<span class="doccomment">/// Inverse hyperbolic sine function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">/// let f = x.sinh().asinh();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (f - x).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">asinh</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="op">==</span> <span class="ident">NEG_INFINITY</span> {
<span class="ident">NEG_INFINITY</span>
} <span class="kw">else</span> {
(<span class="self">self</span> <span class="op">+</span> ((<span class="self">self</span> <span class="op">*</span> <span class="self">self</span>) <span class="op">+</span> <span class="number">1.0</span>).<span class="ident">sqrt</span>()).<span class="ident">ln</span>()
}
}
<span class="doccomment">/// Inverse hyperbolic cosine function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// let x = 1.0_f64;</span>
<span class="doccomment">/// let f = x.cosh().acosh();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (f - x).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">acosh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">match</span> <span class="self">self</span> {
<span class="ident">x</span> <span class="kw">if</span> <span class="ident">x</span> <span class="op"><</span> <span class="number">1.0</span> <span class="op">=></span> <span class="ident">NAN</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="op">-</span> <span class="number">1.0</span>).<span class="ident">sqrt</span>()).<span class="ident">ln</span>(),
}
}
<span class="doccomment">/// Inverse hyperbolic tangent function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let e = f64::consts::E;</span>
<span class="doccomment">/// let f = e.tanh().atanh();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// let abs_difference = (f - e).abs();</span>
<span class="doccomment">///</span>
<span class="doccomment">/// assert!(abs_difference < 1.0e-10);</span>
<span class="doccomment">/// ```</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="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">atanh</span>(<span class="self">self</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="number">0.5</span> <span class="op">*</span> ((<span class="number">2.0</span> <span class="op">*</span> <span class="self">self</span>) <span class="op">/</span> (<span class="number">1.0</span> <span class="op">-</span> <span class="self">self</span>)).<span class="ident">ln_1p</span>()
}
<span class="comment">// Solaris/Illumos requires a wrapper around log, log2, and log10 functions</span>
<span class="comment">// because of their non-standard behavior (e.g. log(-n) returns -Inf instead</span>
<span class="comment">// of expected NaN).</span>
<span class="kw">fn</span> <span class="ident">log_wrapper</span><span class="op"><</span><span class="ident">F</span>: <span class="ident">Fn</span>(<span class="ident">f64</span>) <span class="op">-></span> <span class="ident">f64</span><span class="op">></span>(<span class="self">self</span>, <span class="ident">log_fn</span>: <span class="ident">F</span>) <span class="op">-></span> <span class="ident">f64</span> {
<span class="kw">if</span> <span class="op">!</span><span class="macro">cfg</span><span class="macro">!</span>(<span class="ident">target_os</span> <span class="op">=</span> <span class="string">"solaris"</span>) {
<span class="ident">log_fn</span>(<span class="self">self</span>)
} <span class="kw">else</span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_finite</span>() {
<span class="kw">if</span> <span class="self">self</span> <span class="op">></span> <span class="number">0.0</span> {
<span class="ident">log_fn</span>(<span class="self">self</span>)
} <span class="kw">else</span> <span class="kw">if</span> <span class="self">self</span> <span class="op">==</span> <span class="number">0.0</span> {
<span class="ident">NEG_INFINITY</span> <span class="comment">// log(0) = -Inf</span>
} <span class="kw">else</span> {
<span class="ident">NAN</span> <span class="comment">// log(-n) = NaN</span>
}
} <span class="kw">else</span> <span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_nan</span>() {
<span class="self">self</span> <span class="comment">// log(NaN) = NaN</span>
} <span class="kw">else</span> <span class="kw">if</span> <span class="self">self</span> <span class="op">></span> <span class="number">0.0</span> {
<span class="self">self</span> <span class="comment">// log(Inf) = Inf</span>
} <span class="kw">else</span> {
<span class="ident">NAN</span> <span class="comment">// log(-Inf) = NaN</span>
}
}
}
<span class="doccomment">/// Raw transmutation to `u64`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Converts the `f64` into its raw memory representation,</span>
<span class="doccomment">/// similar to the `transmute` function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that this function is distinct from casting.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// #![feature(float_bits_conv)]</span>
<span class="doccomment">/// assert!((1f64).to_bits() != 1f64 as u64); // to_bits() is not casting!</span>
<span class="doccomment">/// assert_eq!((12.5f64).to_bits(), 0x4029000000000000);</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"float_bits_conv"</span>, <span class="ident">reason</span> <span class="op">=</span> <span class="string">"recently added"</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">"40470"</span>)]</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</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="doccomment">///</span>
<span class="doccomment">/// Converts the given `u64` containing the float's raw memory</span>
<span class="doccomment">/// representation into the `f64` type, similar to the</span>
<span class="doccomment">/// `transmute` function.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// There is only one difference to a bare `transmute`:</span>
<span class="doccomment">/// Due to the implications onto Rust's safety promises being</span>
<span class="doccomment">/// uncertain, if the representation of a signaling NaN "sNaN" float</span>
<span class="doccomment">/// is passed to the function, the implementation is allowed to</span>
<span class="doccomment">/// return a quiet NaN instead.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Note that this function is distinct from casting.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// # Examples</span>
<span class="doccomment">///</span>
<span class="doccomment">/// ```</span>
<span class="doccomment">/// #![feature(float_bits_conv)]</span>
<span class="doccomment">/// use std::f64;</span>
<span class="doccomment">/// let v = f64::from_bits(0x4029000000000000);</span>
<span class="doccomment">/// let difference = (v - 12.5).abs();</span>
<span class="doccomment">/// assert!(difference <= 1e-5);</span>
<span class="doccomment">/// // Example for a signaling NaN value:</span>
<span class="doccomment">/// let snan = 0x7FF0000000000001;</span>
<span class="doccomment">/// assert_ne!(f64::from_bits(snan).to_bits(), snan);</span>
<span class="doccomment">/// ```</span>
<span class="attribute">#[<span class="ident">unstable</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"float_bits_conv"</span>, <span class="ident">reason</span> <span class="op">=</span> <span class="string">"recently added"</span>, <span class="ident">issue</span> <span class="op">=</span> <span class="string">"40470"</span>)]</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_bits</span>(<span class="kw-2">mut</span> <span class="ident">v</span>: <span class="ident">u64</span>) <span class="op">-></span> <span class="self">Self</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">QNAN_MASK</span>: <span class="ident">u64</span> <span class="op">=</span> <span class="number">0x0001000000000000</span>;
<span class="kw">const</span> <span class="ident">FRACT_MASK</span>: <span class="ident">u64</span> <span class="op">=</span> <span class="number">0x000FFFFFFFFFFFFF</span>;
<span class="kw">if</span> <span class="ident">v</span> <span class="op">&</span> <span class="ident">EXP_MASK</span> <span class="op">==</span> <span class="ident">EXP_MASK</span> <span class="op">&&</span> <span class="ident">v</span> <span class="op">&</span> <span class="ident">FRACT_MASK</span> <span class="op">!=</span> <span class="number">0</span> {
<span class="comment">// If we have a NaN value, we</span>
<span class="comment">// convert signaling NaN values to quiet NaN</span>
<span class="comment">// by setting the the highest bit of the fraction</span>
<span class="ident">v</span> <span class="op">|=</span> <span class="ident">QNAN_MASK</span>;
}
<span class="kw">unsafe</span> { ::<span class="ident">mem</span>::<span class="ident">transmute</span>(<span class="ident">v</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">use</span> <span class="ident">f64</span>;
<span class="kw">use</span> <span class="ident">f64</span>::<span class="kw-2">*</span>;
<span class="kw">use</span> <span class="ident">num</span>::<span class="kw-2">*</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="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_num_f64</span>() {
<span class="ident">test_num</span>(<span class="number">10f64</span>, <span class="number">2f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_min_nan</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">NAN</span>.<span class="ident">min</span>(<span class="number">2.0</span>), <span class="number">2.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">2.0f64</span>.<span class="ident">min</span>(<span class="ident">NAN</span>), <span class="number">2.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_max_nan</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">NAN</span>.<span class="ident">max</span>(<span class="number">2.0</span>), <span class="number">2.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">2.0f64</span>.<span class="ident">max</span>(<span class="ident">NAN</span>), <span class="number">2.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_nan</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Nan</span>, <span class="ident">nan</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_infinity</span>() {
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_normal</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Infinite</span>, <span class="ident">inf</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_neg_infinity</span>() {
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_normal</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Infinite</span>, <span class="ident">neg_inf</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_zero</span>() {
<span class="kw">let</span> <span class="ident">zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.0f64</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0</span>, <span class="ident">zero</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">zero</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">zero</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_normal</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Zero</span>, <span class="ident">zero</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_neg_zero</span>() {
<span class="kw">let</span> <span class="ident">neg_zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">0.0</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0</span>, <span class="ident">neg_zero</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_zero</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_zero</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_zero</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_zero</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_zero</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_zero</span>.<span class="ident">is_normal</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Zero</span>, <span class="ident">neg_zero</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_one</span>() {
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">1.0f64</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0</span>, <span class="ident">one</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">one</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">one</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">one</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">one</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">one</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">one</span>.<span class="ident">is_normal</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Fp</span>::<span class="ident">Normal</span>, <span class="ident">one</span>.<span class="ident">classify</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_nan</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">0.0f64</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">5.3f64</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span>(<span class="op">-</span><span class="number">10.732f64</span>).<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_nan</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_infinite</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">0.0f64</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">42.8f64</span>.<span class="ident">is_infinite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span>(<span class="op">-</span><span class="number">109.2f64</span>).<span class="ident">is_infinite</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_finite</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">42.8f64</span>.<span class="ident">is_finite</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">109.2f64</span>).<span class="ident">is_finite</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_normal</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.0f64</span>;
<span class="kw">let</span> <span class="ident">neg_zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">0.0</span>;
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">nan</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">inf</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_inf</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">zero</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">neg_zero</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">1f64</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">1e-307f64</span>.<span class="ident">is_normal</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">1e-308f64</span>.<span class="ident">is_normal</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_classify</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="number">0.0f64</span>;
<span class="kw">let</span> <span class="ident">neg_zero</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="op">-</span><span class="number">0.0</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Nan</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Infinite</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Infinite</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">zero</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Zero</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_zero</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Zero</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1e-307f64</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Normal</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1e-308f64</span>.<span class="ident">classify</span>(), <span class="ident">Fp</span>::<span class="ident">Subnormal</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_floor</span>() {
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">floor</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.3f64</span>.<span class="ident">floor</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.5f64</span>.<span class="ident">floor</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.7f64</span>.<span class="ident">floor</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">floor</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">floor</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">floor</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.3f64</span>).<span class="ident">floor</span>(), <span class="op">-</span><span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.5f64</span>).<span class="ident">floor</span>(), <span class="op">-</span><span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.7f64</span>).<span class="ident">floor</span>(), <span class="op">-</span><span class="number">2.0f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_ceil</span>() {
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">ceil</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.3f64</span>.<span class="ident">ceil</span>(), <span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.5f64</span>.<span class="ident">ceil</span>(), <span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.7f64</span>.<span class="ident">ceil</span>(), <span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">ceil</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">ceil</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">ceil</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.3f64</span>).<span class="ident">ceil</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.5f64</span>).<span class="ident">ceil</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.7f64</span>).<span class="ident">ceil</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_round</span>() {
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">round</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.3f64</span>.<span class="ident">round</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.5f64</span>.<span class="ident">round</span>(), <span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.7f64</span>.<span class="ident">round</span>(), <span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">round</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">round</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">round</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.3f64</span>).<span class="ident">round</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.5f64</span>).<span class="ident">round</span>(), <span class="op">-</span><span class="number">2.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.7f64</span>).<span class="ident">round</span>(), <span class="op">-</span><span class="number">2.0f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_trunc</span>() {
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">trunc</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.3f64</span>.<span class="ident">trunc</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.5f64</span>.<span class="ident">trunc</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.7f64</span>.<span class="ident">trunc</span>(), <span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">trunc</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.3f64</span>).<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.5f64</span>).<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.7f64</span>).<span class="ident">trunc</span>(), <span class="op">-</span><span class="number">1.0f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_fract</span>() {
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">fract</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.3f64</span>.<span class="ident">fract</span>(), <span class="number">0.3f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.5f64</span>.<span class="ident">fract</span>(), <span class="number">0.5f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.7f64</span>.<span class="ident">fract</span>(), <span class="number">0.7f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">fract</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">fract</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">fract</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.3f64</span>).<span class="ident">fract</span>(), <span class="op">-</span><span class="number">0.3f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.5f64</span>).<span class="ident">fract</span>(), <span class="op">-</span><span class="number">0.5f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.7f64</span>).<span class="ident">fract</span>(), <span class="op">-</span><span class="number">0.7f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_abs</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">INFINITY</span>.<span class="ident">abs</span>(), <span class="ident">INFINITY</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1f64</span>.<span class="ident">abs</span>(), <span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0f64</span>.<span class="ident">abs</span>(), <span class="number">0f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0f64</span>).<span class="ident">abs</span>(), <span class="number">0f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1f64</span>).<span class="ident">abs</span>(), <span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">NEG_INFINITY</span>.<span class="ident">abs</span>(), <span class="ident">INFINITY</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1f64</span><span class="op">/</span><span class="ident">NEG_INFINITY</span>).<span class="ident">abs</span>(), <span class="number">0f64</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">NAN</span>.<span class="ident">abs</span>().<span class="ident">is_nan</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_signum</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">INFINITY</span>.<span class="ident">signum</span>(), <span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1f64</span>.<span class="ident">signum</span>(), <span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0f64</span>.<span class="ident">signum</span>(), <span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0f64</span>).<span class="ident">signum</span>(), <span class="op">-</span><span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1f64</span>).<span class="ident">signum</span>(), <span class="op">-</span><span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">NEG_INFINITY</span>.<span class="ident">signum</span>(), <span class="op">-</span><span class="number">1f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1f64</span><span class="op">/</span><span class="ident">NEG_INFINITY</span>).<span class="ident">signum</span>(), <span class="op">-</span><span class="number">1f64</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">NAN</span>.<span class="ident">signum</span>().<span class="ident">is_nan</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_sign_positive</span>() {
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">INFINITY</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">1f64</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">0f64</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span>(<span class="op">-</span><span class="number">0f64</span>).<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span>(<span class="op">-</span><span class="number">1f64</span>).<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">NEG_INFINITY</span>.<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span>(<span class="number">1f64</span><span class="op">/</span><span class="ident">NEG_INFINITY</span>).<span class="ident">is_sign_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">NAN</span>.<span class="ident">is_sign_positive</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_sign_negative</span>() {
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">INFINITY</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">1f64</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="number">0f64</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0f64</span>).<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1f64</span>).<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">NEG_INFINITY</span>.<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="number">1f64</span><span class="op">/</span><span class="ident">NEG_INFINITY</span>).<span class="ident">is_sign_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">NAN</span>.<span class="ident">is_sign_negative</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_mul_add</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">12.3f64</span>.<span class="ident">mul_add</span>(<span class="number">4.5</span>, <span class="number">6.7</span>), <span class="number">62.05</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">12.3f64</span>).<span class="ident">mul_add</span>(<span class="op">-</span><span class="number">4.5</span>, <span class="op">-</span><span class="number">6.7</span>), <span class="number">48.65</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">mul_add</span>(<span class="number">8.9</span>, <span class="number">1.2</span>), <span class="number">1.2</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">3.4f64</span>.<span class="ident">mul_add</span>(<span class="op">-</span><span class="number">0.0</span>, <span class="number">5.6</span>), <span class="number">5.6</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">mul_add</span>(<span class="number">7.8</span>, <span class="number">9.0</span>).<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">mul_add</span>(<span class="number">7.8</span>, <span class="number">9.0</span>), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">mul_add</span>(<span class="number">7.8</span>, <span class="number">9.0</span>), <span class="ident">neg_inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">8.9f64</span>.<span class="ident">mul_add</span>(<span class="ident">inf</span>, <span class="number">3.2</span>), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">3.2f64</span>).<span class="ident">mul_add</span>(<span class="number">2.4</span>, <span class="ident">neg_inf</span>), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_recip</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">recip</span>(), <span class="number">1.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">2.0f64</span>.<span class="ident">recip</span>(), <span class="number">0.5</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.4f64</span>).<span class="ident">recip</span>(), <span class="op">-</span><span class="number">2.5</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">recip</span>(), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">recip</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">recip</span>(), <span class="number">0.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">recip</span>(), <span class="number">0.0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_powi</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">powi</span>(<span class="number">1</span>), <span class="number">1.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">3.1f64</span>).<span class="ident">powi</span>(<span class="number">2</span>), <span class="number">9.61</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">5.9f64</span>.<span class="ident">powi</span>(<span class="op">-</span><span class="number">2</span>), <span class="number">0.028727</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">8.3f64</span>.<span class="ident">powi</span>(<span class="number">0</span>), <span class="number">1.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">powi</span>(<span class="number">2</span>).<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">powi</span>(<span class="number">3</span>), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">powi</span>(<span class="number">2</span>), <span class="ident">inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_powf</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">powf</span>(<span class="number">1.0</span>), <span class="number">1.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">3.4f64</span>.<span class="ident">powf</span>(<span class="number">4.5</span>), <span class="number">246.408183</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.7f64</span>.<span class="ident">powf</span>(<span class="op">-</span><span class="number">3.2</span>), <span class="number">0.041652</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">3.1f64</span>).<span class="ident">powf</span>(<span class="number">2.0</span>), <span class="number">9.61</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">5.9f64</span>.<span class="ident">powf</span>(<span class="op">-</span><span class="number">2.0</span>), <span class="number">0.028727</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">8.3f64</span>.<span class="ident">powf</span>(<span class="number">0.0</span>), <span class="number">1.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">powf</span>(<span class="number">2.0</span>).<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">powf</span>(<span class="number">2.0</span>), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">powf</span>(<span class="number">3.0</span>), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_sqrt_domain</span>() {
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">NAN</span>.<span class="ident">sqrt</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">NEG_INFINITY</span>.<span class="ident">sqrt</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">sqrt</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">sqrt</span>(), <span class="op">-</span><span class="number">0.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">sqrt</span>(), <span class="number">0.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">sqrt</span>(), <span class="number">1.0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">INFINITY</span>.<span class="ident">sqrt</span>(), <span class="ident">INFINITY</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_exp</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0</span>, <span class="number">0.0f64</span>.<span class="ident">exp</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.718282</span>, <span class="number">1.0f64</span>.<span class="ident">exp</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">148.413159</span>, <span class="number">5.0f64</span>.<span class="ident">exp</span>());
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>, <span class="ident">inf</span>.<span class="ident">exp</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0</span>, <span class="ident">neg_inf</span>.<span class="ident">exp</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">exp</span>().<span class="ident">is_nan</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_exp2</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">32.0</span>, <span class="number">5.0f64</span>.<span class="ident">exp2</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0</span>, <span class="number">0.0f64</span>.<span class="ident">exp2</span>());
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>, <span class="ident">inf</span>.<span class="ident">exp2</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0</span>, <span class="ident">neg_inf</span>.<span class="ident">exp2</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">exp2</span>().<span class="ident">is_nan</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_ln</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">exp</span>().<span class="ident">ln</span>(), <span class="number">1.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">ln</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">ln</span>(), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">ln</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2.3f64</span>).<span class="ident">ln</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">ln</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">ln</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">4.0f64</span>.<span class="ident">ln</span>(), <span class="number">1.386294</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_log</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">10.0f64</span>.<span class="ident">log</span>(<span class="number">10.0</span>), <span class="number">1.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.3f64</span>.<span class="ident">log</span>(<span class="number">3.5</span>), <span class="number">0.664858</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">exp</span>().<span class="ident">log</span>(<span class="number">1.0f64</span>.<span class="ident">exp</span>()), <span class="number">1.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">log</span>(<span class="number">1.0</span>).<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">log</span>(<span class="op">-</span><span class="number">13.9</span>).<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">log</span>(<span class="number">2.3</span>).<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">log</span>(<span class="number">10.0</span>), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">log</span>(<span class="number">8.8</span>).<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2.3f64</span>).<span class="ident">log</span>(<span class="number">0.1</span>).<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">log</span>(<span class="number">2.0</span>), <span class="ident">neg_inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">log</span>(<span class="number">7.0</span>), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_log2</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">10.0f64</span>.<span class="ident">log2</span>(), <span class="number">3.321928</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.3f64</span>.<span class="ident">log2</span>(), <span class="number">1.201634</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">exp</span>().<span class="ident">log2</span>(), <span class="number">1.442695</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">log2</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">log2</span>(), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">log2</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2.3f64</span>).<span class="ident">log2</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">log2</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">log2</span>(), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_log10</span>() {
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">10.0f64</span>.<span class="ident">log10</span>(), <span class="number">1.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.3f64</span>.<span class="ident">log10</span>(), <span class="number">0.361728</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">exp</span>().<span class="ident">log10</span>(), <span class="number">0.434294</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">log10</span>(), <span class="number">0.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">log10</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">log10</span>(), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">log10</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2.3f64</span>).<span class="ident">log10</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">log10</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">log10</span>(), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_to_degrees</span>() {
<span class="kw">let</span> <span class="ident">pi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">PI</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">to_degrees</span>(), <span class="number">0.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">5.8f64</span>).<span class="ident">to_degrees</span>(), <span class="op">-</span><span class="number">332.315521</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">pi</span>.<span class="ident">to_degrees</span>(), <span class="number">180.0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">to_degrees</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">to_degrees</span>(), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">to_degrees</span>(), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_to_radians</span>() {
<span class="kw">let</span> <span class="ident">pi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">PI</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">to_radians</span>(), <span class="number">0.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">154.6f64</span>.<span class="ident">to_radians</span>(), <span class="number">2.698279</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">332.31f64</span>).<span class="ident">to_radians</span>(), <span class="op">-</span><span class="number">5.799903</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">180.0f64</span>.<span class="ident">to_radians</span>(), <span class="ident">pi</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">to_radians</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">to_radians</span>(), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">to_radians</span>(), <span class="ident">neg_inf</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_asinh</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">asinh</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">asinh</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">asinh</span>(), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">asinh</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">asinh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.0f64</span>.<span class="ident">asinh</span>(), <span class="number">1.443635475178810342493276740273105f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2.0f64</span>).<span class="ident">asinh</span>(), <span class="op">-</span><span class="number">1.443635475178810342493276740273105f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_acosh</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">acosh</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">0.999f64</span>.<span class="ident">acosh</span>().<span class="ident">is_nan</span>());
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">acosh</span>(), <span class="ident">inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">acosh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">acosh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">2.0f64</span>.<span class="ident">acosh</span>(), <span class="number">1.31695789692481670862504634730796844f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">3.0f64</span>.<span class="ident">acosh</span>(), <span class="number">1.76274717403908605046521864995958461f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_atanh</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">0.0f64</span>.<span class="ident">atanh</span>(), <span class="number">0.0f64</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.0f64</span>).<span class="ident">atanh</span>(), <span class="op">-</span><span class="number">0.0f64</span>);
<span class="kw">let</span> <span class="ident">inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">INFINITY</span>;
<span class="kw">let</span> <span class="ident">neg_inf</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NEG_INFINITY</span>;
<span class="kw">let</span> <span class="ident">nan</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">NAN</span>;
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="number">1.0f64</span>.<span class="ident">atanh</span>(), <span class="ident">inf</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">1.0f64</span>).<span class="ident">atanh</span>(), <span class="ident">neg_inf</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="number">2f64</span>.<span class="ident">atanh</span>().<span class="ident">atanh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>((<span class="op">-</span><span class="number">2f64</span>).<span class="ident">atanh</span>().<span class="ident">atanh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">inf</span>.<span class="ident">atanh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">neg_inf</span>.<span class="ident">atanh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">nan</span>.<span class="ident">atanh</span>().<span class="ident">is_nan</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="number">0.5f64</span>.<span class="ident">atanh</span>(), <span class="number">0.54930614433405484569762261846126285f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">0.5f64</span>).<span class="ident">atanh</span>(), <span class="op">-</span><span class="number">0.54930614433405484569762261846126285f64</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_real_consts</span>() {
<span class="kw">use</span> <span class="kw">super</span>::<span class="ident">consts</span>;
<span class="kw">let</span> <span class="ident">pi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">PI</span>;
<span class="kw">let</span> <span class="ident">frac_pi_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_PI_2</span>;
<span class="kw">let</span> <span class="ident">frac_pi_3</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_PI_3</span>;
<span class="kw">let</span> <span class="ident">frac_pi_4</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_PI_4</span>;
<span class="kw">let</span> <span class="ident">frac_pi_6</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_PI_6</span>;
<span class="kw">let</span> <span class="ident">frac_pi_8</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_PI_8</span>;
<span class="kw">let</span> <span class="ident">frac_1_pi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_1_PI</span>;
<span class="kw">let</span> <span class="ident">frac_2_pi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_2_PI</span>;
<span class="kw">let</span> <span class="ident">frac_2_sqrtpi</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_2_SQRT_PI</span>;
<span class="kw">let</span> <span class="ident">sqrt2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">SQRT_2</span>;
<span class="kw">let</span> <span class="ident">frac_1_sqrt2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">FRAC_1_SQRT_2</span>;
<span class="kw">let</span> <span class="ident">e</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">E</span>;
<span class="kw">let</span> <span class="ident">log2_e</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">LOG2_E</span>;
<span class="kw">let</span> <span class="ident">log10_e</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">LOG10_E</span>;
<span class="kw">let</span> <span class="ident">ln_2</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">LN_2</span>;
<span class="kw">let</span> <span class="ident">ln_10</span>: <span class="ident">f64</span> <span class="op">=</span> <span class="ident">consts</span>::<span class="ident">LN_10</span>;
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_pi_2</span>, <span class="ident">pi</span> <span class="op">/</span> <span class="number">2f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_pi_3</span>, <span class="ident">pi</span> <span class="op">/</span> <span class="number">3f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_pi_4</span>, <span class="ident">pi</span> <span class="op">/</span> <span class="number">4f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_pi_6</span>, <span class="ident">pi</span> <span class="op">/</span> <span class="number">6f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_pi_8</span>, <span class="ident">pi</span> <span class="op">/</span> <span class="number">8f64</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_1_pi</span>, <span class="number">1f64</span> <span class="op">/</span> <span class="ident">pi</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_2_pi</span>, <span class="number">2f64</span> <span class="op">/</span> <span class="ident">pi</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_2_sqrtpi</span>, <span class="number">2f64</span> <span class="op">/</span> <span class="ident">pi</span>.<span class="ident">sqrt</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">sqrt2</span>, <span class="number">2f64</span>.<span class="ident">sqrt</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">frac_1_sqrt2</span>, <span class="number">1f64</span> <span class="op">/</span> <span class="number">2f64</span>.<span class="ident">sqrt</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">log2_e</span>, <span class="ident">e</span>.<span class="ident">log2</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">log10_e</span>, <span class="ident">e</span>.<span class="ident">log10</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">ln_2</span>, <span class="number">2f64</span>.<span class="ident">ln</span>());
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">ln_10</span>, <span class="number">10f64</span>.<span class="ident">ln</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_float_bits_conv</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1f64</span>).<span class="ident">to_bits</span>(), <span class="number">0x3ff0000000000000</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">12.5f64</span>).<span class="ident">to_bits</span>(), <span class="number">0x4029000000000000</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="number">1337f64</span>).<span class="ident">to_bits</span>(), <span class="number">0x4094e40000000000</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>((<span class="op">-</span><span class="number">14.25f64</span>).<span class="ident">to_bits</span>(), <span class="number">0xc02c800000000000</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">from_bits</span>(<span class="number">0x3ff0000000000000</span>), <span class="number">1.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">from_bits</span>(<span class="number">0x4029000000000000</span>), <span class="number">12.5</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">from_bits</span>(<span class="number">0x4094e40000000000</span>), <span class="number">1337.0</span>);
<span class="macro">assert_approx_eq</span><span class="macro">!</span>(<span class="ident">f64</span>::<span class="ident">from_bits</span>(<span class="number">0xc02c800000000000</span>), <span class="op">-</span><span class="number">14.25</span>);
}
}
</pre>
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