| <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/num-traits-0.2.15/src/lib.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>lib.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../num_traits/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../num_traits/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
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| <span id="640">640</span> |
| </pre><pre class="rust"><code><span class="comment">// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT |
| // file at the top-level directory of this distribution and at |
| // http://rust-lang.org/COPYRIGHT. |
| // |
| // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
| // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
| // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your |
| // option. This file may not be copied, modified, or distributed |
| // except according to those terms. |
| |
| </span><span class="doccomment">//! Numeric traits for generic mathematics |
| //! |
| //! ## Compatibility |
| //! |
| //! The `num-traits` crate is tested for rustc 1.8 and greater. |
| |
| </span><span class="attribute">#![doc(html_root_url = <span class="string">"https://docs.rs/num-traits/0.2"</span>)] |
| #![deny(unconditional_recursion)] |
| #![no_std] |
| #[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">extern crate </span>std; |
| |
| <span class="comment">// Only `no_std` builds actually use `libm`. |
| </span><span class="attribute">#[cfg(all(not(feature = <span class="string">"std"</span>), feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">extern crate </span>libm; |
| |
| <span class="kw">use </span>core::fmt; |
| <span class="kw">use </span>core::num::Wrapping; |
| <span class="kw">use </span>core::ops::{Add, Div, Mul, Rem, Sub}; |
| <span class="kw">use </span>core::ops::{AddAssign, DivAssign, MulAssign, RemAssign, SubAssign}; |
| |
| <span class="kw">pub use </span>bounds::Bounded; |
| <span class="attribute">#[cfg(any(feature = <span class="string">"std"</span>, feature = <span class="string">"libm"</span>))] |
| </span><span class="kw">pub use </span>float::Float; |
| <span class="kw">pub use </span>float::FloatConst; |
| <span class="comment">// pub use real::{FloatCore, Real}; // NOTE: Don't do this, it breaks `use num_traits::*;`. |
| </span><span class="kw">pub use </span>cast::{cast, AsPrimitive, FromPrimitive, NumCast, ToPrimitive}; |
| <span class="kw">pub use </span>identities::{one, zero, One, Zero}; |
| <span class="kw">pub use </span>int::PrimInt; |
| <span class="kw">pub use </span>ops::checked::{ |
| CheckedAdd, CheckedDiv, CheckedMul, CheckedNeg, CheckedRem, CheckedShl, CheckedShr, CheckedSub, |
| }; |
| <span class="kw">pub use </span>ops::euclid::{CheckedEuclid, Euclid}; |
| <span class="kw">pub use </span>ops::inv::Inv; |
| <span class="kw">pub use </span>ops::mul_add::{MulAdd, MulAddAssign}; |
| <span class="kw">pub use </span>ops::saturating::{Saturating, SaturatingAdd, SaturatingMul, SaturatingSub}; |
| <span class="kw">pub use </span>ops::wrapping::{ |
| WrappingAdd, WrappingMul, WrappingNeg, WrappingShl, WrappingShr, WrappingSub, |
| }; |
| <span class="kw">pub use </span>pow::{checked_pow, pow, Pow}; |
| <span class="kw">pub use </span>sign::{abs, abs_sub, signum, Signed, Unsigned}; |
| |
| <span class="attribute">#[macro_use] |
| </span><span class="kw">mod </span>macros; |
| |
| <span class="kw">pub mod </span>bounds; |
| <span class="kw">pub mod </span>cast; |
| <span class="kw">pub mod </span>float; |
| <span class="kw">pub mod </span>identities; |
| <span class="kw">pub mod </span>int; |
| <span class="kw">pub mod </span>ops; |
| <span class="kw">pub mod </span>pow; |
| <span class="kw">pub mod </span>real; |
| <span class="kw">pub mod </span>sign; |
| |
| <span class="doccomment">/// The base trait for numeric types, covering `0` and `1` values, |
| /// comparisons, basic numeric operations, and string conversion. |
| </span><span class="kw">pub trait </span>Num: PartialEq + Zero + One + NumOps { |
| <span class="kw">type </span>FromStrRadixErr; |
| |
| <span class="doccomment">/// Convert from a string and radix (typically `2..=36`). |
| /// |
| /// # Examples |
| /// |
| /// ```rust |
| /// use num_traits::Num; |
| /// |
| /// let result = <i32 as Num>::from_str_radix("27", 10); |
| /// assert_eq!(result, Ok(27)); |
| /// |
| /// let result = <i32 as Num>::from_str_radix("foo", 10); |
| /// assert!(result.is_err()); |
| /// ``` |
| /// |
| /// # Supported radices |
| /// |
| /// The exact range of supported radices is at the discretion of each type implementation. For |
| /// primitive integers, this is implemented by the inherent `from_str_radix` methods in the |
| /// standard library, which **panic** if the radix is not in the range from 2 to 36. The |
| /// implementation in this crate for primitive floats is similar. |
| /// |
| /// For third-party types, it is suggested that implementations should follow suit and at least |
| /// accept `2..=36` without panicking, but an `Err` may be returned for any unsupported radix. |
| /// It's possible that a type might not even support the common radix 10, nor any, if string |
| /// parsing doesn't make sense for that type. |
| </span><span class="kw">fn </span>from_str_radix(str: <span class="kw-2">&</span>str, radix: u32) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, <span class="self">Self</span>::FromStrRadixErr>; |
| } |
| |
| <span class="doccomment">/// Generic trait for types implementing basic numeric operations |
| /// |
| /// This is automatically implemented for types which implement the operators. |
| </span><span class="kw">pub trait </span>NumOps<Rhs = <span class="self">Self</span>, Output = <span class="self">Self</span>>: |
| Add<Rhs, Output = Output> |
| + Sub<Rhs, Output = Output> |
| + Mul<Rhs, Output = Output> |
| + Div<Rhs, Output = Output> |
| + Rem<Rhs, Output = Output> |
| { |
| } |
| |
| <span class="kw">impl</span><T, Rhs, Output> NumOps<Rhs, Output> <span class="kw">for </span>T <span class="kw">where |
| </span>T: Add<Rhs, Output = Output> |
| + Sub<Rhs, Output = Output> |
| + Mul<Rhs, Output = Output> |
| + Div<Rhs, Output = Output> |
| + Rem<Rhs, Output = Output> |
| { |
| } |
| |
| <span class="doccomment">/// The trait for `Num` types which also implement numeric operations taking |
| /// the second operand by reference. |
| /// |
| /// This is automatically implemented for types which implement the operators. |
| </span><span class="kw">pub trait </span>NumRef: Num + <span class="kw">for</span><<span class="lifetime">'r</span>> NumOps<<span class="kw-2">&</span><span class="lifetime">'r </span><span class="self">Self</span>> {} |
| <span class="kw">impl</span><T> NumRef <span class="kw">for </span>T <span class="kw">where </span>T: Num + <span class="kw">for</span><<span class="lifetime">'r</span>> NumOps<<span class="kw-2">&</span><span class="lifetime">'r </span>T> {} |
| |
| <span class="doccomment">/// The trait for `Num` references which implement numeric operations, taking the |
| /// second operand either by value or by reference. |
| /// |
| /// This is automatically implemented for all types which implement the operators. It covers |
| /// every type implementing the operations though, regardless of it being a reference or |
| /// related to `Num`. |
| </span><span class="kw">pub trait </span>RefNum<Base>: NumOps<Base, Base> + <span class="kw">for</span><<span class="lifetime">'r</span>> NumOps<<span class="kw-2">&</span><span class="lifetime">'r </span>Base, Base> {} |
| <span class="kw">impl</span><T, Base> RefNum<Base> <span class="kw">for </span>T <span class="kw">where </span>T: NumOps<Base, Base> + <span class="kw">for</span><<span class="lifetime">'r</span>> NumOps<<span class="kw-2">&</span><span class="lifetime">'r </span>Base, Base> {} |
| |
| <span class="doccomment">/// Generic trait for types implementing numeric assignment operators (like `+=`). |
| /// |
| /// This is automatically implemented for types which implement the operators. |
| </span><span class="kw">pub trait </span>NumAssignOps<Rhs = <span class="self">Self</span>>: |
| AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs> |
| { |
| } |
| |
| <span class="kw">impl</span><T, Rhs> NumAssignOps<Rhs> <span class="kw">for </span>T <span class="kw">where |
| </span>T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs> |
| { |
| } |
| |
| <span class="doccomment">/// The trait for `Num` types which also implement assignment operators. |
| /// |
| /// This is automatically implemented for types which implement the operators. |
| </span><span class="kw">pub trait </span>NumAssign: Num + NumAssignOps {} |
| <span class="kw">impl</span><T> NumAssign <span class="kw">for </span>T <span class="kw">where </span>T: Num + NumAssignOps {} |
| |
| <span class="doccomment">/// The trait for `NumAssign` types which also implement assignment operations |
| /// taking the second operand by reference. |
| /// |
| /// This is automatically implemented for types which implement the operators. |
| </span><span class="kw">pub trait </span>NumAssignRef: NumAssign + <span class="kw">for</span><<span class="lifetime">'r</span>> NumAssignOps<<span class="kw-2">&</span><span class="lifetime">'r </span><span class="self">Self</span>> {} |
| <span class="kw">impl</span><T> NumAssignRef <span class="kw">for </span>T <span class="kw">where </span>T: NumAssign + <span class="kw">for</span><<span class="lifetime">'r</span>> NumAssignOps<<span class="kw-2">&</span><span class="lifetime">'r </span>T> {} |
| |
| <span class="macro">macro_rules! </span>int_trait_impl { |
| (<span class="macro-nonterminal">$name</span>:ident <span class="kw">for </span>$(<span class="macro-nonterminal">$t</span>:ty)<span class="kw-2">*</span>) => ($( |
| <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">type </span>FromStrRadixErr = ::core::num::ParseIntError; |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>from_str_radix(s: <span class="kw-2">&</span>str, radix: u32) |
| -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, ::core::num::ParseIntError> |
| { |
| <<span class="macro-nonterminal">$t</span>>::from_str_radix(s, radix) |
| } |
| } |
| )<span class="kw-2">*</span>) |
| } |
| <span class="macro">int_trait_impl!</span>(Num <span class="kw">for </span>usize u8 u16 u32 u64 isize i8 i16 i32 i64); |
| <span class="attribute">#[cfg(has_i128)] |
| </span><span class="macro">int_trait_impl!</span>(Num <span class="kw">for </span>u128 i128); |
| |
| <span class="kw">impl</span><T: Num> Num <span class="kw">for </span>Wrapping<T> |
| <span class="kw">where |
| </span>Wrapping<T>: NumOps, |
| { |
| <span class="kw">type </span>FromStrRadixErr = T::FromStrRadixErr; |
| <span class="kw">fn </span>from_str_radix(str: <span class="kw-2">&</span>str, radix: u32) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, <span class="self">Self</span>::FromStrRadixErr> { |
| T::from_str_radix(str, radix).map(Wrapping) |
| } |
| } |
| |
| <span class="attribute">#[derive(Debug)] |
| </span><span class="kw">pub enum </span>FloatErrorKind { |
| Empty, |
| Invalid, |
| } |
| <span class="comment">// FIXME: core::num::ParseFloatError is stable in 1.0, but opaque to us, |
| // so there's not really any way for us to reuse it. |
| </span><span class="attribute">#[derive(Debug)] |
| </span><span class="kw">pub struct </span>ParseFloatError { |
| <span class="kw">pub </span>kind: FloatErrorKind, |
| } |
| |
| <span class="kw">impl </span>fmt::Display <span class="kw">for </span>ParseFloatError { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter) -> fmt::Result { |
| <span class="kw">let </span>description = <span class="kw">match </span><span class="self">self</span>.kind { |
| FloatErrorKind::Empty => <span class="string">"cannot parse float from empty string"</span>, |
| FloatErrorKind::Invalid => <span class="string">"invalid float literal"</span>, |
| }; |
| |
| description.fmt(f) |
| } |
| } |
| |
| <span class="kw">fn </span>str_to_ascii_lower_eq_str(a: <span class="kw-2">&</span>str, b: <span class="kw-2">&</span>str) -> bool { |
| a.len() == b.len() |
| && a.bytes().zip(b.bytes()).all(|(a, b)| { |
| <span class="kw">let </span>a_to_ascii_lower = a | (((<span class="string">b'A' </span><= a && a <= <span class="string">b'Z'</span>) <span class="kw">as </span>u8) << <span class="number">5</span>); |
| a_to_ascii_lower == b |
| }) |
| } |
| |
| <span class="comment">// FIXME: The standard library from_str_radix on floats was deprecated, so we're stuck |
| // with this implementation ourselves until we want to make a breaking change. |
| // (would have to drop it from `Num` though) |
| </span><span class="macro">macro_rules! </span>float_trait_impl { |
| (<span class="macro-nonterminal">$name</span>:ident <span class="kw">for </span>$(<span class="macro-nonterminal">$t</span>:ident)<span class="kw-2">*</span>) => ($( |
| <span class="kw">impl </span><span class="macro-nonterminal">$name </span><span class="kw">for </span><span class="macro-nonterminal">$t </span>{ |
| <span class="kw">type </span>FromStrRadixErr = ParseFloatError; |
| |
| <span class="kw">fn </span>from_str_radix(src: <span class="kw-2">&</span>str, radix: u32) |
| -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, <span class="self">Self</span>::FromStrRadixErr> |
| { |
| <span class="kw">use </span><span class="self">self</span>::FloatErrorKind::<span class="kw-2">*</span>; |
| <span class="kw">use </span><span class="self">self</span>::ParseFloatError <span class="kw">as </span>PFE; |
| |
| <span class="comment">// Special case radix 10 to use more accurate standard library implementation |
| </span><span class="kw">if </span>radix == <span class="number">10 </span>{ |
| <span class="kw">return </span>src.parse().map_err(|<span class="kw">_</span>| PFE { |
| kind: <span class="kw">if </span>src.is_empty() { Empty } <span class="kw">else </span>{ Invalid }, |
| }); |
| } |
| |
| <span class="comment">// Special values |
| </span><span class="kw">if </span>str_to_ascii_lower_eq_str(src, <span class="string">"inf"</span>) |
| || str_to_ascii_lower_eq_str(src, <span class="string">"infinity"</span>) |
| { |
| <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::INFINITY</span>); |
| } <span class="kw">else if </span>str_to_ascii_lower_eq_str(src, <span class="string">"-inf"</span>) |
| || str_to_ascii_lower_eq_str(src, <span class="string">"-infinity"</span>) |
| { |
| <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::NEG_INFINITY</span>); |
| } <span class="kw">else if </span>str_to_ascii_lower_eq_str(src, <span class="string">"nan"</span>) { |
| <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::NAN</span>); |
| } <span class="kw">else if </span>str_to_ascii_lower_eq_str(src, <span class="string">"-nan"</span>) { |
| <span class="kw">return </span><span class="prelude-val">Ok</span>(-core::<span class="macro-nonterminal">$t::NAN</span>); |
| } |
| |
| <span class="kw">fn </span>slice_shift_char(src: <span class="kw-2">&</span>str) -> <span class="prelude-ty">Option</span><(char, <span class="kw-2">&</span>str)> { |
| <span class="kw">let </span><span class="kw-2">mut </span>chars = src.chars(); |
| <span class="kw">if let </span><span class="prelude-val">Some</span>(ch) = chars.next() { |
| <span class="prelude-val">Some</span>((ch, chars.as_str())) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">None |
| </span>} |
| } |
| |
| <span class="kw">let </span>(is_positive, src) = <span class="kw">match </span>slice_shift_char(src) { |
| <span class="prelude-val">None </span>=> <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Empty }), |
| <span class="prelude-val">Some</span>((<span class="string">'-'</span>, <span class="string">""</span>)) => <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Empty }), |
| <span class="prelude-val">Some</span>((<span class="string">'-'</span>, src)) => (<span class="bool-val">false</span>, src), |
| <span class="prelude-val">Some</span>((<span class="kw">_</span>, <span class="kw">_</span>)) => (<span class="bool-val">true</span>, src), |
| }; |
| |
| <span class="comment">// The significand to accumulate |
| </span><span class="kw">let </span><span class="kw-2">mut </span>sig = <span class="kw">if </span>is_positive { <span class="number">0.0 </span>} <span class="kw">else </span>{ -<span class="number">0.0 </span>}; |
| <span class="comment">// Necessary to detect overflow |
| </span><span class="kw">let </span><span class="kw-2">mut </span>prev_sig = sig; |
| <span class="kw">let </span><span class="kw-2">mut </span>cs = src.chars().enumerate(); |
| <span class="comment">// Exponent prefix and exponent index offset |
| </span><span class="kw">let </span><span class="kw-2">mut </span>exp_info = <span class="prelude-val">None</span>::<(char, usize)>; |
| |
| <span class="comment">// Parse the integer part of the significand |
| </span><span class="kw">for </span>(i, c) <span class="kw">in </span>cs.by_ref() { |
| <span class="kw">match </span>c.to_digit(radix) { |
| <span class="prelude-val">Some</span>(digit) => { |
| <span class="comment">// shift significand one digit left |
| </span>sig = sig * (radix <span class="kw">as </span><span class="macro-nonterminal">$t</span>); |
| |
| <span class="comment">// add/subtract current digit depending on sign |
| </span><span class="kw">if </span>is_positive { |
| sig = sig + ((digit <span class="kw">as </span>isize) <span class="kw">as </span><span class="macro-nonterminal">$t</span>); |
| } <span class="kw">else </span>{ |
| sig = sig - ((digit <span class="kw">as </span>isize) <span class="kw">as </span><span class="macro-nonterminal">$t</span>); |
| } |
| |
| <span class="comment">// Detect overflow by comparing to last value, except |
| // if we've not seen any non-zero digits. |
| </span><span class="kw">if </span>prev_sig != <span class="number">0.0 </span>{ |
| <span class="kw">if </span>is_positive && sig <= prev_sig |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::INFINITY</span>); } |
| <span class="kw">if </span>!is_positive && sig >= prev_sig |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::NEG_INFINITY</span>); } |
| |
| <span class="comment">// Detect overflow by reversing the shift-and-add process |
| </span><span class="kw">if </span>is_positive && (prev_sig != (sig - digit <span class="kw">as </span><span class="macro-nonterminal">$t</span>) / radix <span class="kw">as </span><span class="macro-nonterminal">$t</span>) |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::INFINITY</span>); } |
| <span class="kw">if </span>!is_positive && (prev_sig != (sig + digit <span class="kw">as </span><span class="macro-nonterminal">$t</span>) / radix <span class="kw">as </span><span class="macro-nonterminal">$t</span>) |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::NEG_INFINITY</span>); } |
| } |
| prev_sig = sig; |
| }, |
| <span class="prelude-val">None </span>=> <span class="kw">match </span>c { |
| <span class="string">'e' </span>| <span class="string">'E' </span>| <span class="string">'p' </span>| <span class="string">'P' </span>=> { |
| exp_info = <span class="prelude-val">Some</span>((c, i + <span class="number">1</span>)); |
| <span class="kw">break</span>; <span class="comment">// start of exponent |
| </span>}, |
| <span class="string">'.' </span>=> { |
| <span class="kw">break</span>; <span class="comment">// start of fractional part |
| </span>}, |
| <span class="kw">_ </span>=> { |
| <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Invalid }); |
| }, |
| }, |
| } |
| } |
| |
| <span class="comment">// If we are not yet at the exponent parse the fractional |
| // part of the significand |
| </span><span class="kw">if </span>exp_info.is_none() { |
| <span class="kw">let </span><span class="kw-2">mut </span>power = <span class="number">1.0</span>; |
| <span class="kw">for </span>(i, c) <span class="kw">in </span>cs.by_ref() { |
| <span class="kw">match </span>c.to_digit(radix) { |
| <span class="prelude-val">Some</span>(digit) => { |
| <span class="comment">// Decrease power one order of magnitude |
| </span>power = power / (radix <span class="kw">as </span><span class="macro-nonterminal">$t</span>); |
| <span class="comment">// add/subtract current digit depending on sign |
| </span>sig = <span class="kw">if </span>is_positive { |
| sig + (digit <span class="kw">as </span><span class="macro-nonterminal">$t</span>) * power |
| } <span class="kw">else </span>{ |
| sig - (digit <span class="kw">as </span><span class="macro-nonterminal">$t</span>) * power |
| }; |
| <span class="comment">// Detect overflow by comparing to last value |
| </span><span class="kw">if </span>is_positive && sig < prev_sig |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::INFINITY</span>); } |
| <span class="kw">if </span>!is_positive && sig > prev_sig |
| { <span class="kw">return </span><span class="prelude-val">Ok</span>(core::<span class="macro-nonterminal">$t::NEG_INFINITY</span>); } |
| prev_sig = sig; |
| }, |
| <span class="prelude-val">None </span>=> <span class="kw">match </span>c { |
| <span class="string">'e' </span>| <span class="string">'E' </span>| <span class="string">'p' </span>| <span class="string">'P' </span>=> { |
| exp_info = <span class="prelude-val">Some</span>((c, i + <span class="number">1</span>)); |
| <span class="kw">break</span>; <span class="comment">// start of exponent |
| </span>}, |
| <span class="kw">_ </span>=> { |
| <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Invalid }); |
| }, |
| }, |
| } |
| } |
| } |
| |
| <span class="comment">// Parse and calculate the exponent |
| </span><span class="kw">let </span>exp = <span class="kw">match </span>exp_info { |
| <span class="prelude-val">Some</span>((c, offset)) => { |
| <span class="kw">let </span>base = <span class="kw">match </span>c { |
| <span class="string">'E' </span>| <span class="string">'e' </span><span class="kw">if </span>radix == <span class="number">10 </span>=> <span class="number">10.0</span>, |
| <span class="string">'P' </span>| <span class="string">'p' </span><span class="kw">if </span>radix == <span class="number">16 </span>=> <span class="number">2.0</span>, |
| <span class="kw">_ </span>=> <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Invalid }), |
| }; |
| |
| <span class="comment">// Parse the exponent as decimal integer |
| </span><span class="kw">let </span>src = <span class="kw-2">&</span>src[offset..]; |
| <span class="kw">let </span>(is_positive, exp) = <span class="kw">match </span>slice_shift_char(src) { |
| <span class="prelude-val">Some</span>((<span class="string">'-'</span>, src)) => (<span class="bool-val">false</span>, src.parse::<usize>()), |
| <span class="prelude-val">Some</span>((<span class="string">'+'</span>, src)) => (<span class="bool-val">true</span>, src.parse::<usize>()), |
| <span class="prelude-val">Some</span>((<span class="kw">_</span>, <span class="kw">_</span>)) => (<span class="bool-val">true</span>, src.parse::<usize>()), |
| <span class="prelude-val">None </span>=> <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Invalid }), |
| }; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">fn </span>pow(base: <span class="macro-nonterminal">$t</span>, exp: usize) -> <span class="macro-nonterminal">$t </span>{ |
| Float::powi(base, exp <span class="kw">as </span>i32) |
| } |
| <span class="comment">// otherwise uses the generic `pow` from the root |
| |
| </span><span class="kw">match </span>(is_positive, exp) { |
| (<span class="bool-val">true</span>, <span class="prelude-val">Ok</span>(exp)) => pow(base, exp), |
| (<span class="bool-val">false</span>, <span class="prelude-val">Ok</span>(exp)) => <span class="number">1.0 </span>/ pow(base, exp), |
| (<span class="kw">_</span>, <span class="prelude-val">Err</span>(<span class="kw">_</span>)) => <span class="kw">return </span><span class="prelude-val">Err</span>(PFE { kind: Invalid }), |
| } |
| }, |
| <span class="prelude-val">None </span>=> <span class="number">1.0</span>, <span class="comment">// no exponent |
| </span>}; |
| |
| <span class="prelude-val">Ok</span>(sig * exp) |
| } |
| } |
| )<span class="kw-2">*</span>) |
| } |
| <span class="macro">float_trait_impl!</span>(Num <span class="kw">for </span>f32 f64); |
| |
| <span class="doccomment">/// A value bounded by a minimum and a maximum |
| /// |
| /// If input is less than min then this returns min. |
| /// If input is greater than max then this returns max. |
| /// Otherwise this returns input. |
| /// |
| /// **Panics** in debug mode if `!(min <= max)`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>clamp<T: PartialOrd>(input: T, min: T, max: T) -> T { |
| <span class="macro">debug_assert!</span>(min <= max, <span class="string">"min must be less than or equal to max"</span>); |
| <span class="kw">if </span>input < min { |
| min |
| } <span class="kw">else if </span>input > max { |
| max |
| } <span class="kw">else </span>{ |
| input |
| } |
| } |
| |
| <span class="doccomment">/// A value bounded by a minimum value |
| /// |
| /// If input is less than min then this returns min. |
| /// Otherwise this returns input. |
| /// `clamp_min(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::min(std::f32::NAN, 1.0)`. |
| /// |
| /// **Panics** in debug mode if `!(min == min)`. (This occurs if `min` is `NAN`.) |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>clamp_min<T: PartialOrd>(input: T, min: T) -> T { |
| <span class="macro">debug_assert!</span>(min == min, <span class="string">"min must not be NAN"</span>); |
| <span class="kw">if </span>input < min { |
| min |
| } <span class="kw">else </span>{ |
| input |
| } |
| } |
| |
| <span class="doccomment">/// A value bounded by a maximum value |
| /// |
| /// If input is greater than max then this returns max. |
| /// Otherwise this returns input. |
| /// `clamp_max(std::f32::NAN, 1.0)` preserves `NAN` different from `f32::max(std::f32::NAN, 1.0)`. |
| /// |
| /// **Panics** in debug mode if `!(max == max)`. (This occurs if `max` is `NAN`.) |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>clamp_max<T: PartialOrd>(input: T, max: T) -> T { |
| <span class="macro">debug_assert!</span>(max == max, <span class="string">"max must not be NAN"</span>); |
| <span class="kw">if </span>input > max { |
| max |
| } <span class="kw">else </span>{ |
| input |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>clamp_test() { |
| <span class="comment">// Int test |
| </span><span class="macro">assert_eq!</span>(<span class="number">1</span>, clamp(<span class="number">1</span>, -<span class="number">1</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1</span>, clamp(-<span class="number">2</span>, -<span class="number">1</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(<span class="number">2</span>, clamp(<span class="number">3</span>, -<span class="number">1</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(<span class="number">1</span>, clamp_min(<span class="number">1</span>, -<span class="number">1</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1</span>, clamp_min(-<span class="number">2</span>, -<span class="number">1</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1</span>, clamp_max(<span class="number">1</span>, -<span class="number">1</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">2</span>, clamp_max(-<span class="number">2</span>, -<span class="number">1</span>)); |
| |
| <span class="comment">// Float test |
| </span><span class="macro">assert_eq!</span>(<span class="number">1.0</span>, clamp(<span class="number">1.0</span>, -<span class="number">1.0</span>, <span class="number">2.0</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1.0</span>, clamp(-<span class="number">2.0</span>, -<span class="number">1.0</span>, <span class="number">2.0</span>)); |
| <span class="macro">assert_eq!</span>(<span class="number">2.0</span>, clamp(<span class="number">3.0</span>, -<span class="number">1.0</span>, <span class="number">2.0</span>)); |
| <span class="macro">assert_eq!</span>(<span class="number">1.0</span>, clamp_min(<span class="number">1.0</span>, -<span class="number">1.0</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1.0</span>, clamp_min(-<span class="number">2.0</span>, -<span class="number">1.0</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">1.0</span>, clamp_max(<span class="number">1.0</span>, -<span class="number">1.0</span>)); |
| <span class="macro">assert_eq!</span>(-<span class="number">2.0</span>, clamp_max(-<span class="number">2.0</span>, -<span class="number">1.0</span>)); |
| <span class="macro">assert!</span>(clamp(::core::f32::NAN, -<span class="number">1.0</span>, <span class="number">1.0</span>).is_nan()); |
| <span class="macro">assert!</span>(clamp_min(::core::f32::NAN, <span class="number">1.0</span>).is_nan()); |
| <span class="macro">assert!</span>(clamp_max(::core::f32::NAN, <span class="number">1.0</span>).is_nan()); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| #[cfg(debug_assertions)] |
| </span><span class="kw">fn </span>clamp_nan_min() { |
| clamp(<span class="number">0.</span>, ::core::f32::NAN, <span class="number">1.</span>); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| #[cfg(debug_assertions)] |
| </span><span class="kw">fn </span>clamp_nan_max() { |
| clamp(<span class="number">0.</span>, -<span class="number">1.</span>, ::core::f32::NAN); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| #[cfg(debug_assertions)] |
| </span><span class="kw">fn </span>clamp_nan_min_max() { |
| clamp(<span class="number">0.</span>, ::core::f32::NAN, ::core::f32::NAN); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| #[cfg(debug_assertions)] |
| </span><span class="kw">fn </span>clamp_min_nan_min() { |
| clamp_min(<span class="number">0.</span>, ::core::f32::NAN); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic] |
| #[cfg(debug_assertions)] |
| </span><span class="kw">fn </span>clamp_max_nan_max() { |
| clamp_max(<span class="number">0.</span>, ::core::f32::NAN); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>from_str_radix_unwrap() { |
| <span class="comment">// The Result error must impl Debug to allow unwrap() |
| |
| </span><span class="kw">let </span>i: i32 = Num::from_str_radix(<span class="string">"0"</span>, <span class="number">10</span>).unwrap(); |
| <span class="macro">assert_eq!</span>(i, <span class="number">0</span>); |
| |
| <span class="kw">let </span>f: f32 = Num::from_str_radix(<span class="string">"0.0"</span>, <span class="number">10</span>).unwrap(); |
| <span class="macro">assert_eq!</span>(f, <span class="number">0.0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>from_str_radix_multi_byte_fail() { |
| <span class="comment">// Ensure parsing doesn't panic, even on invalid sign characters |
| </span><span class="macro">assert!</span>(f32::from_str_radix(<span class="string">"™0.2"</span>, <span class="number">10</span>).is_err()); |
| |
| <span class="comment">// Even when parsing the exponent sign |
| </span><span class="macro">assert!</span>(f32::from_str_radix(<span class="string">"0.2E™1"</span>, <span class="number">10</span>).is_err()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>from_str_radix_ignore_case() { |
| <span class="macro">assert_eq!</span>( |
| f32::from_str_radix(<span class="string">"InF"</span>, <span class="number">16</span>).unwrap(), |
| ::core::f32::INFINITY |
| ); |
| <span class="macro">assert_eq!</span>( |
| f32::from_str_radix(<span class="string">"InfinitY"</span>, <span class="number">16</span>).unwrap(), |
| ::core::f32::INFINITY |
| ); |
| <span class="macro">assert_eq!</span>( |
| f32::from_str_radix(<span class="string">"-InF"</span>, <span class="number">8</span>).unwrap(), |
| ::core::f32::NEG_INFINITY |
| ); |
| <span class="macro">assert_eq!</span>( |
| f32::from_str_radix(<span class="string">"-InfinitY"</span>, <span class="number">8</span>).unwrap(), |
| ::core::f32::NEG_INFINITY |
| ); |
| <span class="macro">assert!</span>(f32::from_str_radix(<span class="string">"nAn"</span>, <span class="number">4</span>).unwrap().is_nan()); |
| <span class="macro">assert!</span>(f32::from_str_radix(<span class="string">"-nAn"</span>, <span class="number">4</span>).unwrap().is_nan()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>wrapping_is_num() { |
| <span class="kw">fn </span>require_num<T: Num>(<span class="kw">_</span>: <span class="kw-2">&</span>T) {} |
| require_num(<span class="kw-2">&</span>Wrapping(<span class="number">42_u32</span>)); |
| require_num(<span class="kw-2">&</span>Wrapping(-<span class="number">42</span>)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>wrapping_from_str_radix() { |
| <span class="macro">macro_rules! </span>test_wrapping_from_str_radix { |
| ($(<span class="macro-nonterminal">$t</span>:ty)+) => { |
| $( |
| <span class="kw">for </span><span class="kw-2">&</span>(s, r) <span class="kw">in </span><span class="kw-2">&</span>[(<span class="string">"42"</span>, <span class="number">10</span>), (<span class="string">"42"</span>, <span class="number">2</span>), (<span class="string">"-13.0"</span>, <span class="number">10</span>), (<span class="string">"foo"</span>, <span class="number">10</span>)] { |
| <span class="kw">let </span>w = Wrapping::<<span class="macro-nonterminal">$t</span>>::from_str_radix(s, r).map(|w| w.<span class="number">0</span>); |
| <span class="macro">assert_eq!</span>(w, <<span class="macro-nonterminal">$t </span><span class="kw">as </span>Num>::from_str_radix(s, r)); |
| } |
| )+ |
| }; |
| } |
| |
| <span class="macro">test_wrapping_from_str_radix!</span>(usize u8 u16 u32 u64 isize i8 i16 i32 i64); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>check_num_ops() { |
| <span class="kw">fn </span>compute<T: Num + Copy>(x: T, y: T) -> T { |
| x * y / y % y + y - y |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="number">1</span>, <span class="number">2</span>), <span class="number">1</span>) |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>check_numref_ops() { |
| <span class="kw">fn </span>compute<T: NumRef>(x: T, y: <span class="kw-2">&</span>T) -> T { |
| x * y / y % y + y - y |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="number">1</span>, <span class="kw-2">&</span><span class="number">2</span>), <span class="number">1</span>) |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>check_refnum_ops() { |
| <span class="kw">fn </span>compute<T: Copy>(x: <span class="kw-2">&</span>T, y: T) -> T |
| <span class="kw">where |
| for</span><<span class="lifetime">'a</span>> <span class="kw-2">&</span><span class="lifetime">'a </span>T: RefNum<T>, |
| { |
| <span class="kw-2">&</span>(<span class="kw-2">&</span>(<span class="kw-2">&</span>(<span class="kw-2">&</span>(x * y) / y) % y) + y) - y |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="kw-2">&</span><span class="number">1</span>, <span class="number">2</span>), <span class="number">1</span>) |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>check_refref_ops() { |
| <span class="kw">fn </span>compute<T>(x: <span class="kw-2">&</span>T, y: <span class="kw-2">&</span>T) -> T |
| <span class="kw">where |
| for</span><<span class="lifetime">'a</span>> <span class="kw-2">&</span><span class="lifetime">'a </span>T: RefNum<T>, |
| { |
| <span class="kw-2">&</span>(<span class="kw-2">&</span>(<span class="kw-2">&</span>(<span class="kw-2">&</span>(x * y) / y) % y) + y) - y |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="kw-2">&</span><span class="number">1</span>, <span class="kw-2">&</span><span class="number">2</span>), <span class="number">1</span>) |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>check_numassign_ops() { |
| <span class="kw">fn </span>compute<T: NumAssign + Copy>(<span class="kw-2">mut </span>x: T, y: T) -> T { |
| x <span class="kw-2">*</span>= y; |
| x /= y; |
| x %= y; |
| x += y; |
| x -= y; |
| x |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="number">1</span>, <span class="number">2</span>), <span class="number">1</span>) |
| } |
| |
| <span class="attribute">#[cfg(has_int_assignop_ref)] |
| #[test] |
| </span><span class="kw">fn </span>check_numassignref_ops() { |
| <span class="kw">fn </span>compute<T: NumAssignRef + Copy>(<span class="kw-2">mut </span>x: T, y: <span class="kw-2">&</span>T) -> T { |
| x <span class="kw-2">*</span>= y; |
| x /= y; |
| x %= y; |
| x += y; |
| x -= y; |
| x |
| } |
| <span class="macro">assert_eq!</span>(compute(<span class="number">1</span>, <span class="kw-2">&</span><span class="number">2</span>), <span class="number">1</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> |
