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</pre><pre class="rust ">
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::<span class="ident">Neg</span>;

<span class="kw">use</span> {<span class="ident">Num</span>, <span class="ident">NumCast</span>, <span class="ident">Float</span>};

<span class="comment">// NOTE: These doctests have the same issue as those in src/float.rs.</span>
<span class="comment">// They&#39;re testing the inherent methods directly, and not those of `Real`.</span>

<span class="doccomment">/// A trait for real number types that do not necessarily have</span>
<span class="doccomment">/// floating-point-specific characteristics such as NaN and infinity.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// See [this Wikipedia article](https://en.wikipedia.org/wiki/Real_data_type)</span>
<span class="doccomment">/// for a list of data types that could meaningfully implement this trait.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait is only available with the `std` feature.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">Real</span>
    : <span class="ident">Num</span>
    <span class="op">+</span> <span class="ident">Copy</span>
    <span class="op">+</span> <span class="ident">NumCast</span>
    <span class="op">+</span> <span class="ident">PartialOrd</span>
    <span class="op">+</span> <span class="ident">Neg</span><span class="op">&lt;</span><span class="ident">Output</span> <span class="op">=</span> <span class="self">Self</span><span class="op">&gt;</span>
{
    <span class="doccomment">/// Returns the smallest finite value that this type can represent.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: f64 = Real::min_value();</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x, f64::MIN);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">min_value</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the smallest positive, normalized value that this type can represent.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: f64 = Real::min_positive_value();</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x, f64::MIN_POSITIVE);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">min_positive_value</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns epsilon, a small positive value.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: f64 = Real::epsilon();</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x, f64::EPSILON);</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// The default implementation will panic if `f32::EPSILON` cannot</span>
    <span class="doccomment">/// be cast to `Self`.</span>
    <span class="kw">fn</span> <span class="ident">epsilon</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the largest finite value that this type can represent.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x: f64 = Real::max_value();</span>
    <span class="doccomment">/// assert_eq!(x, f64::MAX);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">max_value</span>() <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 3.99;</span>
    <span class="doccomment">/// let g = 3.0;</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="kw">fn</span> <span class="ident">floor</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 3.01;</span>
    <span class="doccomment">/// let g = 4.0;</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="kw">fn</span> <span class="ident">ceil</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 3.3;</span>
    <span class="doccomment">/// let g = -3.3;</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="kw">fn</span> <span class="ident">round</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Return the integer part of a number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 3.3;</span>
    <span class="doccomment">/// let g = -3.7;</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="kw">fn</span> <span class="ident">trunc</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 3.5;</span>
    <span class="doccomment">/// let y = -3.5;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_y &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">fract</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Computes the absolute value of `self`. Returns `Float::nan()` if the</span>
    <span class="doccomment">/// number is `Float::nan()`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 3.5;</span>
    <span class="doccomment">/// let y = -3.5;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_y &lt; 1e-10);</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert!(::num_traits::Float::is_nan(f64::NAN.abs()));</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">abs</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns a number that represents the sign of `self`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`</span>
    <span class="doccomment">/// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`</span>
    <span class="doccomment">/// - `Float::nan()` if the number is `Float::nan()`</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 3.5;</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="kw">fn</span> <span class="ident">signum</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns `true` if `self` is positive, including `+0.0`,</span>
    <span class="doccomment">/// `Float::infinity()`, and with newer versions of Rust `f64::NAN`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">/// use std::f64;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let neg_nan: f64 = -f64::NAN;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 7.0;</span>
    <span class="doccomment">/// let g = -7.0;</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">/// assert!(!neg_nan.is_sign_positive());</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">is_sign_positive</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>;

    <span class="doccomment">/// Returns `true` if `self` is negative, including `-0.0`,</span>
    <span class="doccomment">/// `Float::neg_infinity()`, and with newer versions of Rust `-f64::NAN`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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;</span>
    <span class="doccomment">/// let g = -7.0;</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">/// assert!(!nan.is_sign_negative());</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">is_sign_negative</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">bool</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let m = 10.0;</span>
    <span class="doccomment">/// let x = 4.0;</span>
    <span class="doccomment">/// let b = 60.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Take the reciprocal (inverse) of a number, `1/x`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 2.0;</span>
    <span class="doccomment">/// let abs_difference = (x.recip() - (1.0/x)).abs();</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert!(abs_difference &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">recip</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Raise 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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 2.0;</span>
    <span class="doccomment">/// let abs_difference = (x.powi(2) - x*x).abs();</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert!(abs_difference &lt; 1e-10);</span>
    <span class="doccomment">/// ```</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">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Raise a number to a real number power.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 2.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">powf</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Take the square root of a number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// Returns NaN if `self` is a negative floating-point number.  </span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If the implementing type doesn&#39;t support NaN, this method should panic if `self &lt; 0`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let positive = 4.0;</span>
    <span class="doccomment">/// let negative = -4.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(::num_traits::Float::is_nan(negative.sqrt()));</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">sqrt</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let one = 1.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">exp</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns `2^(self)`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 2.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">exp2</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the natural logarithm of the number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If `self &lt;= 0` and this type does not support a NaN representation, this function should panic.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let one = 1.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">ln</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the logarithm of the number with respect to an arbitrary base.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If `self &lt;= 0` and this type does not support a NaN representation, this function should panic.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let ten = 10.0;</span>
    <span class="doccomment">/// let two = 2.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_2 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">log</span>(<span class="self">self</span>, <span class="ident">base</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the base 2 logarithm of the number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If `self &lt;= 0` and this type does not support a NaN representation, this function should panic.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let two = 2.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">log2</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the base 10 logarithm of the number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If `self &lt;= 0` and this type does not support a NaN representation, this function should panic.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let ten = 10.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">log10</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">to_degrees</span>(<span class="self">self</span>) <span class="op">-&gt;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">to_radians</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 1.0;</span>
    <span class="doccomment">/// let y = 2.0;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x.max(y), y);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Returns the minimum of the two numbers.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 1.0;</span>
    <span class="doccomment">/// let y = 2.0;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// assert_eq!(x.min(y), x);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// The positive difference of two numbers.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// * If `self &lt;= other`: `0:0`</span>
    <span class="doccomment">/// * Else: `self - other`</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 3.0;</span>
    <span class="doccomment">/// let y = -3.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_y &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">abs_sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Take the cubic root of a number.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 8.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">cbrt</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Calculate 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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 2.0;</span>
    <span class="doccomment">/// let y = 3.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">hypot</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</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 num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">sin</span>(<span class="self">self</span>) <span class="op">-&gt;</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 num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">cos</span>(<span class="self">self</span>) <span class="op">-&gt;</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 num_traits::real::Real;</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 &lt; 1e-14);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">tan</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
    <span class="doccomment">/// if the number is outside the range [-1, 1].</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">asin</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
    <span class="doccomment">/// if the number is outside the range [-1, 1].</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">acos</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let f = 1.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">atan</span>(<span class="self">self</span>) <span class="op">-&gt;</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 &gt;= 0`: `arctan(y/x)` -&gt; `[-pi/2, pi/2]`</span>
    <span class="doccomment">/// * `y &gt;= 0`: `arctan(y/x) + pi` -&gt; `(pi/2, pi]`</span>
    <span class="doccomment">/// * `y &lt; 0`: `arctan(y/x) - pi` -&gt; `(-pi, -pi/2)`</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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;</span>
    <span class="doccomment">/// let y1 = -3.0;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// // 135 deg clockwise</span>
    <span class="doccomment">/// let x2 = -3.0;</span>
    <span class="doccomment">/// let y2 = 3.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_2 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">atan2</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</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 num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// assert!(abs_difference_0 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">sin_cos</span>(<span class="self">self</span>) <span class="op">-&gt;</span> (<span class="self">Self</span>, <span class="self">Self</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 7.0;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">exp_m1</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// # Panics</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// If this type does not support a NaN representation, this function should panic</span>
    <span class="doccomment">/// if `self-1 &lt;= 0`.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">ln_1p</span>(<span class="self">self</span>) <span class="op">-&gt;</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 num_traits::real::Real;</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;</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 &lt; 1e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">sinh</span>(<span class="self">self</span>) <span class="op">-&gt;</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 num_traits::real::Real;</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;</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 &lt; 1.0e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">cosh</span>(<span class="self">self</span>) <span class="op">-&gt;</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 num_traits::real::Real;</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;</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 &lt; 1.0e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">tanh</span>(<span class="self">self</span>) <span class="op">-&gt;</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">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 1.0;</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 &lt; 1.0e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">asinh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Inverse hyperbolic cosine function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// let x = 1.0;</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 &lt; 1.0e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">acosh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;

    <span class="doccomment">/// Inverse hyperbolic tangent function.</span>
    <span class="doccomment">///</span>
    <span class="doccomment">/// ```</span>
    <span class="doccomment">/// use num_traits::real::Real;</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 &lt; 1.0e-10);</span>
    <span class="doccomment">/// ```</span>
    <span class="kw">fn</span> <span class="ident">atanh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
}

<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">T</span>: <span class="ident">Float</span><span class="op">&gt;</span> <span class="ident">Real</span> <span class="kw">for</span> <span class="ident">T</span> {
    <span class="macro">forward</span><span class="macro">!</span> {
        <span class="ident">Float</span>::<span class="ident">min_value</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">min_positive_value</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">epsilon</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">max_value</span>() <span class="op">-&gt;</span> <span class="self">Self</span>;
    }
    <span class="macro">forward</span><span class="macro">!</span> {
        <span class="ident">Float</span>::<span class="ident">floor</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">ceil</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">round</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">trunc</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">fract</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">abs</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">signum</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">is_sign_positive</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>;
        <span class="ident">Float</span>::<span class="ident">is_sign_negative</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="ident">bool</span>;
        <span class="ident">Float</span>::<span class="ident">mul_add</span>(<span class="self">self</span>, <span class="ident">a</span>: <span class="self">Self</span>, <span class="ident">b</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">recip</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">powi</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="ident">i32</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">powf</span>(<span class="self">self</span>, <span class="ident">n</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">sqrt</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">exp</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">exp2</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">ln</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">log</span>(<span class="self">self</span>, <span class="ident">base</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">log2</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">log10</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">to_degrees</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">to_radians</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">max</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">min</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">abs_sub</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">cbrt</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">hypot</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">sin</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">cos</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">tan</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">asin</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">acos</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">atan</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">atan2</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="self">Self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">sin_cos</span>(<span class="self">self</span>) <span class="op">-&gt;</span> (<span class="self">Self</span>, <span class="self">Self</span>);
        <span class="ident">Float</span>::<span class="ident">exp_m1</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">ln_1p</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">sinh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">cosh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">tanh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">asinh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">acosh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
        <span class="ident">Float</span>::<span class="ident">atanh</span>(<span class="self">self</span>) <span class="op">-&gt;</span> <span class="self">Self</span>;
    }
}
</pre>
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