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</pre><pre class="rust"><code><span class="kw">use </span>core::num::Wrapping;
<span class="kw">use </span>core::ops::Neg;
<span class="kw">use </span>float::FloatCore;
<span class="kw">use </span>Num;
<span class="doccomment">/// Useful functions for signed numbers (i.e. numbers that can be negative).
</span><span class="kw">pub trait </span>Signed: Sized + Num + Neg&lt;Output = <span class="self">Self</span>&gt; {
<span class="doccomment">/// Computes the absolute value.
///
/// For `f32` and `f64`, `NaN` will be returned if the number is `NaN`.
///
/// For signed integers, `::MIN` will be returned if the number is `::MIN`.
</span><span class="kw">fn </span>abs(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self</span>;
<span class="doccomment">/// The positive difference of two numbers.
///
/// Returns `zero` if the number is less than or equal to `other`, otherwise the difference
/// between `self` and `other` is returned.
</span><span class="kw">fn </span>abs_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="self">Self</span>) -&gt; <span class="self">Self</span>;
<span class="doccomment">/// Returns the sign of the number.
///
/// For `f32` and `f64`:
///
/// * `1.0` if the number is positive, `+0.0` or `INFINITY`
/// * `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
/// * `NaN` if the number is `NaN`
///
/// For signed integers:
///
/// * `0` if the number is zero
/// * `1` if the number is positive
/// * `-1` if the number is negative
</span><span class="kw">fn </span>signum(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self</span>;
<span class="doccomment">/// Returns true if the number is positive and false if the number is zero or negative.
</span><span class="kw">fn </span>is_positive(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool;
<span class="doccomment">/// Returns true if the number is negative and false if the number is zero or positive.
</span><span class="kw">fn </span>is_negative(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool;
}
<span class="macro">macro_rules! </span>signed_impl {
($(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) =&gt; ($(
<span class="kw">impl </span>Signed <span class="kw">for </span><span class="macro-nonterminal">$t </span>{
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="macro-nonterminal">$t </span>{
<span class="kw">if </span><span class="self">self</span>.is_negative() { -<span class="kw-2">*</span><span class="self">self </span>} <span class="kw">else </span>{ <span class="kw-2">*</span><span class="self">self </span>}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$t</span>) -&gt; <span class="macro-nonterminal">$t </span>{
<span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>&lt;= <span class="kw-2">*</span>other { <span class="number">0 </span>} <span class="kw">else </span>{ <span class="kw-2">*</span><span class="self">self </span>- <span class="kw-2">*</span>other }
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>signum(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="macro-nonterminal">$t </span>{
<span class="kw">match </span><span class="kw-2">*</span><span class="self">self </span>{
n <span class="kw">if </span>n &gt; <span class="number">0 </span>=&gt; <span class="number">1</span>,
<span class="number">0 </span>=&gt; <span class="number">0</span>,
<span class="kw">_ </span>=&gt; -<span class="number">1</span>,
}
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_positive(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool { <span class="kw-2">*</span><span class="self">self </span>&gt; <span class="number">0 </span>}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_negative(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool { <span class="kw-2">*</span><span class="self">self </span>&lt; <span class="number">0 </span>}
}
)<span class="kw-2">*</span>)
}
<span class="macro">signed_impl!</span>(isize i8 i16 i32 i64);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">signed_impl!</span>(i128);
<span class="kw">impl</span>&lt;T: Signed&gt; Signed <span class="kw">for </span>Wrapping&lt;T&gt;
<span class="kw">where
</span>Wrapping&lt;T&gt;: Num + Neg&lt;Output = Wrapping&lt;T&gt;&gt;,
{
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
Wrapping(<span class="self">self</span>.<span class="number">0</span>.abs())
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>abs_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="self">Self</span>) -&gt; <span class="self">Self </span>{
Wrapping(<span class="self">self</span>.<span class="number">0</span>.abs_sub(<span class="kw-2">&amp;</span>other.<span class="number">0</span>))
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>signum(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="self">Self </span>{
Wrapping(<span class="self">self</span>.<span class="number">0</span>.signum())
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_positive(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.<span class="number">0</span>.is_positive()
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>is_negative(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
<span class="self">self</span>.<span class="number">0</span>.is_negative()
}
}
<span class="macro">macro_rules! </span>signed_float_impl {
(<span class="macro-nonterminal">$t</span>:ty) =&gt; {
<span class="kw">impl </span>Signed <span class="kw">for </span><span class="macro-nonterminal">$t </span>{
<span class="doccomment">/// Computes the absolute value. Returns `NAN` if the number is `NAN`.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>abs(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="macro-nonterminal">$t </span>{
FloatCore::abs(<span class="kw-2">*</span><span class="self">self</span>)
}
<span class="doccomment">/// The positive difference of two numbers. Returns `0.0` if the number is
/// less than or equal to `other`, otherwise the difference between`self`
/// and `other` is returned.
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>abs_sub(<span class="kw-2">&amp;</span><span class="self">self</span>, other: <span class="kw-2">&amp;</span><span class="macro-nonterminal">$t</span>) -&gt; <span class="macro-nonterminal">$t </span>{
<span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>&lt;= <span class="kw-2">*</span>other {
<span class="number">0.
</span>} <span class="kw">else </span>{
<span class="kw-2">*</span><span class="self">self </span>- <span class="kw-2">*</span>other
}
}
<span class="doccomment">/// # Returns
///
/// - `1.0` if the number is positive, `+0.0` or `INFINITY`
/// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
/// - `NAN` if the number is NaN
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>signum(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="macro-nonterminal">$t </span>{
FloatCore::signum(<span class="kw-2">*</span><span class="self">self</span>)
}
<span class="doccomment">/// Returns `true` if the number is positive, including `+0.0` and `INFINITY`
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>is_positive(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
FloatCore::is_sign_positive(<span class="kw-2">*</span><span class="self">self</span>)
}
<span class="doccomment">/// Returns `true` if the number is negative, including `-0.0` and `NEG_INFINITY`
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>is_negative(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; bool {
FloatCore::is_sign_negative(<span class="kw-2">*</span><span class="self">self</span>)
}
}
};
}
<span class="macro">signed_float_impl!</span>(f32);
<span class="macro">signed_float_impl!</span>(f64);
<span class="doccomment">/// Computes the absolute value.
///
/// For `f32` and `f64`, `NaN` will be returned if the number is `NaN`
///
/// For signed integers, `::MIN` will be returned if the number is `::MIN`.
</span><span class="attribute">#[inline(always)]
</span><span class="kw">pub fn </span>abs&lt;T: Signed&gt;(value: T) -&gt; T {
value.abs()
}
<span class="doccomment">/// The positive difference of two numbers.
///
/// Returns zero if `x` is less than or equal to `y`, otherwise the difference
/// between `x` and `y` is returned.
</span><span class="attribute">#[inline(always)]
</span><span class="kw">pub fn </span>abs_sub&lt;T: Signed&gt;(x: T, y: T) -&gt; T {
x.abs_sub(<span class="kw-2">&amp;</span>y)
}
<span class="doccomment">/// Returns the sign of the number.
///
/// For `f32` and `f64`:
///
/// * `1.0` if the number is positive, `+0.0` or `INFINITY`
/// * `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
/// * `NaN` if the number is `NaN`
///
/// For signed integers:
///
/// * `0` if the number is zero
/// * `1` if the number is positive
/// * `-1` if the number is negative
</span><span class="attribute">#[inline(always)]
</span><span class="kw">pub fn </span>signum&lt;T: Signed&gt;(value: T) -&gt; T {
value.signum()
}
<span class="doccomment">/// A trait for values which cannot be negative
</span><span class="kw">pub trait </span>Unsigned: Num {}
<span class="macro">macro_rules! </span>empty_trait_impl {
(<span class="macro-nonterminal">$name</span>:ident <span class="kw">for </span>$(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) =&gt; ($(
<span class="kw">impl </span><span class="macro-nonterminal">$name </span><span class="kw">for </span><span class="macro-nonterminal">$t </span>{}
)<span class="kw-2">*</span>)
}
<span class="macro">empty_trait_impl!</span>(Unsigned <span class="kw">for </span>usize u8 u16 u32 u64);
<span class="attribute">#[cfg(has_i128)]
</span><span class="macro">empty_trait_impl!</span>(Unsigned <span class="kw">for </span>u128);
<span class="kw">impl</span>&lt;T: Unsigned&gt; Unsigned <span class="kw">for </span>Wrapping&lt;T&gt; <span class="kw">where </span>Wrapping&lt;T&gt;: Num {}
<span class="attribute">#[test]
</span><span class="kw">fn </span>unsigned_wrapping_is_unsigned() {
<span class="kw">fn </span>require_unsigned&lt;T: Unsigned&gt;(<span class="kw">_</span>: <span class="kw-2">&amp;</span>T) {}
require_unsigned(<span class="kw-2">&amp;</span>Wrapping(<span class="number">42_u32</span>));
}
<span class="comment">// Commenting this out since it doesn&#39;t compile on Rust 1.8,
// because on this version Wrapping doesn&#39;t implement Neg and therefore can&#39;t
// implement Signed.
// #[test]
// fn signed_wrapping_is_signed() {
// fn require_signed&lt;T: Signed&gt;(_: &amp;T) {}
// require_signed(&amp;Wrapping(-42));
// }
</span></code></pre></div>
</section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num_traits" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html>