<!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 to the Rust file `/home/mrh/.cargo/registry/src/github.com-1ecc6299db9ec823/num-rational-0.1.42/src/lib.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>lib.rs.html -- source</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc source"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../../num_rational/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><pre class="line-numbers"><span id="1"> 1</span>
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</pre><div class="example-wrap"><pre class="rust ">
<span class="comment">// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT</span>
<span class="comment">// file at the top-level directory of this distribution and at</span>
<span class="comment">// http://rust-lang.org/COPYRIGHT.</span>
<span class="comment">//</span>
<span class="comment">// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or</span>
<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license</span>
<span class="comment">// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your</span>
<span class="comment">// option. This file may not be copied, modified, or distributed</span>
<span class="comment">// except according to those terms.</span>
<span class="doccomment">//! Rational numbers</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! ## Compatibility</span>
<span class="doccomment">//!</span>
<span class="doccomment">//! The `num-rational` crate is tested for rustc 1.8 and greater.</span>
<span class="attribute">#![<span class="ident">doc</span>(<span class="ident">html_root_url</span> <span class="op">=</span> <span class="string">"https://docs.rs/num-rational/0.1"</span>)]</span>
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rustc-serialize"</span>)]</span>
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">rustc_serialize</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">serde</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">num_bigint</span> <span class="kw">as</span> <span class="ident">bigint</span>;
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">num_traits</span> <span class="kw">as</span> <span class="ident">traits</span>;
<span class="kw">extern</span> <span class="kw">crate</span> <span class="ident">num_integer</span> <span class="kw">as</span> <span class="ident">integer</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">cmp</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">error</span>::<span class="ident">Error</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">fmt</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">hash</span>::{<span class="ident">Hash</span>, <span class="ident">Hasher</span>};
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::{<span class="ident">Add</span>, <span class="ident">Div</span>, <span class="ident">Mul</span>, <span class="ident">Neg</span>, <span class="ident">Rem</span>, <span class="ident">Sub</span>};
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">str</span>::<span class="ident">FromStr</span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">use</span> <span class="ident">bigint</span>::{<span class="ident">BigInt</span>, <span class="ident">BigUint</span>, <span class="ident">Sign</span>};
<span class="kw">use</span> <span class="ident">integer</span>::<span class="ident">Integer</span>;
<span class="kw">use</span> <span class="ident">traits</span>::{<span class="ident">FromPrimitive</span>, <span class="ident">Float</span>, <span class="ident">PrimInt</span>, <span class="ident">Num</span>, <span class="ident">Signed</span>, <span class="ident">Zero</span>, <span class="ident">One</span>, <span class="ident">Bounded</span>, <span class="ident">NumCast</span>, <span class="ident">CheckedAdd</span>, <span class="ident">CheckedSub</span>, <span class="ident">CheckedMul</span>, <span class="ident">CheckedDiv</span>};
<span class="doccomment">/// Represents the ratio between 2 numbers.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Debug</span>)]</span>
<span class="attribute">#[<span class="ident">cfg_attr</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"rustc-serialize"</span>, <span class="ident">derive</span>(<span class="ident">RustcEncodable</span>, <span class="ident">RustcDecodable</span>))]</span>
<span class="attribute">#[<span class="ident">allow</span>(<span class="ident">missing_docs</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">numer</span>: <span class="ident">T</span>,
<span class="ident">denom</span>: <span class="ident">T</span>,
}
<span class="doccomment">/// Alias for a `Ratio` of machine-sized integers.</span>
<span class="kw">pub</span> <span class="kw">type</span> <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">isize</span><span class="op">></span>;
<span class="kw">pub</span> <span class="kw">type</span> <span class="ident">Rational32</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">i32</span><span class="op">></span>;
<span class="kw">pub</span> <span class="kw">type</span> <span class="ident">Rational64</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">i64</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="doccomment">/// Alias for arbitrary precision rationals.</span>
<span class="kw">pub</span> <span class="kw">type</span> <span class="ident">BigRational</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">BigInt</span><span class="op">></span>;
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="doccomment">/// Creates a new `Ratio`. Fails if `denom` is zero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new</span>(<span class="ident">numer</span>: <span class="ident">T</span>, <span class="ident">denom</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="ident">denom</span>.<span class="ident">is_zero</span>() {
<span class="macro">panic</span><span class="macro">!</span>(<span class="string">"denominator == 0"</span>);
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">numer</span>, <span class="ident">denom</span>);
<span class="ident">ret</span>.<span class="ident">reduce</span>();
<span class="ident">ret</span>
}
<span class="doccomment">/// Creates a `Ratio` representing the integer `t`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_integer</span>(<span class="ident">t</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">t</span>, <span class="ident">One</span>::<span class="ident">one</span>())
}
<span class="doccomment">/// Creates a `Ratio` without checking for `denom == 0` or reducing.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new_raw</span>(<span class="ident">numer</span>: <span class="ident">T</span>, <span class="ident">denom</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="ident">numer</span>,
<span class="ident">denom</span>: <span class="ident">denom</span>,
}
}
<span class="doccomment">/// Converts to an integer, rounding towards zero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_integer</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">T</span> {
<span class="self">self</span>.<span class="ident">trunc</span>().<span class="ident">numer</span>
}
<span class="doccomment">/// Gets an immutable reference to the numerator.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">numer</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span>(<span class="kw-2">&</span><span class="lifetime">'a</span> <span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span> {
<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">numer</span>
}
<span class="doccomment">/// Gets an immutable reference to the denominator.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">denom</span><span class="op"><</span><span class="lifetime">'a</span><span class="op">></span>(<span class="kw-2">&</span><span class="lifetime">'a</span> <span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span> {
<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">denom</span>
}
<span class="doccomment">/// Returns true if the rational number is an integer (denominator is 1).</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">is_integer</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">=</span><span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>()
}
<span class="doccomment">/// Puts self into lowest terms, with denom > 0.</span>
<span class="kw">fn</span> <span class="ident">reduce</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>) {
<span class="kw">let</span> <span class="ident">g</span>: <span class="ident">T</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">denom</span>);
<span class="comment">// FIXME(#5992): assignment operator overloads</span>
<span class="comment">// self.numer /= g;</span>
<span class="comment">// T: Clone + Integer != T: Clone + NumAssign</span>
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">g</span>.<span class="ident">clone</span>();
<span class="comment">// FIXME(#5992): assignment operator overloads</span>
<span class="comment">// self.denom /= g;</span>
<span class="comment">// T: Clone + Integer != T: Clone + NumAssign</span>
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">g</span>;
<span class="comment">// keep denom positive!</span>
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">denom</span> <span class="op"><</span> <span class="ident">T</span>::<span class="ident">zero</span>() {
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">zero</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>();
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">zero</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>();
}
}
<span class="doccomment">/// Returns a reduced copy of self.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// In general, it is not necessary to use this method, as the only</span>
<span class="doccomment">/// method of procuring a non-reduced fraction is through `new_raw`.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">reduced</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">ret</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">clone</span>();
<span class="ident">ret</span>.<span class="ident">reduce</span>();
<span class="ident">ret</span>
}
<span class="doccomment">/// Returns the reciprocal.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Fails if the `Ratio` is zero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">recip</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">match</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">T</span>::<span class="ident">zero</span>()) {
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Equal</span> <span class="op">=</span><span class="op">></span> <span class="macro">panic</span><span class="macro">!</span>(<span class="string">"numerator == 0"</span>),
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Greater</span> <span class="op">=</span><span class="op">></span> <span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>(), <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>()),
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Less</span> <span class="op">=</span><span class="op">></span> <span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">T</span>::<span class="ident">zero</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>(),
<span class="ident">T</span>::<span class="ident">zero</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>())
}
}
<span class="doccomment">/// Rounds towards minus infinity.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">floor</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op"><</span> <span class="ident">Zero</span>::<span class="ident">zero</span>() {
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">T</span> <span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>();
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>((<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">one</span>) <span class="op">/</span>
<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
} <span class="kw">else</span> {
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
}
}
<span class="doccomment">/// Rounds towards plus infinity.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">ceil</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op"><</span> <span class="ident">Zero</span>::<span class="ident">zero</span>() {
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">T</span> <span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>();
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>((<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="ident">one</span>) <span class="op">/</span>
<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
}
}
<span class="doccomment">/// Rounds to the nearest integer. Rounds half-way cases away from zero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">round</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">zero</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="op">=</span> <span class="ident">Zero</span>::<span class="ident">zero</span>();
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">T</span> <span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="ident">two</span>: <span class="ident">T</span> <span class="op">=</span> <span class="ident">one</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">one</span>.<span class="ident">clone</span>();
<span class="comment">// Find unsigned fractional part of rational number</span>
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">fractional</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">fract</span>();
<span class="kw">if</span> <span class="ident">fractional</span> <span class="op"><</span> <span class="ident">zero</span> {
<span class="ident">fractional</span> <span class="op">=</span> <span class="ident">zero</span> <span class="op">-</span> <span class="ident">fractional</span>
};
<span class="comment">// The algorithm compares the unsigned fractional part with 1/2, that</span>
<span class="comment">// is, a/b >= 1/2, or a >= b/2. For odd denominators, we use</span>
<span class="comment">// a >= (b/2)+1. This avoids overflow issues.</span>
<span class="kw">let</span> <span class="ident">half_or_larger</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">fractional</span>.<span class="ident">denom</span>().<span class="ident">is_even</span>() {
<span class="kw-2">*</span><span class="ident">fractional</span>.<span class="ident">numer</span>() <span class="op">></span><span class="op">=</span> <span class="ident">fractional</span>.<span class="ident">denom</span>().<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">two</span>.<span class="ident">clone</span>()
} <span class="kw">else</span> {
<span class="kw-2">*</span><span class="ident">fractional</span>.<span class="ident">numer</span>() <span class="op">></span><span class="op">=</span> (<span class="ident">fractional</span>.<span class="ident">denom</span>().<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">two</span>.<span class="ident">clone</span>()) <span class="op">+</span> <span class="ident">one</span>.<span class="ident">clone</span>()
};
<span class="kw">if</span> <span class="ident">half_or_larger</span> {
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>();
<span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op">></span><span class="op">=</span> <span class="ident">Zero</span>::<span class="ident">zero</span>() {
<span class="self">self</span>.<span class="ident">trunc</span>() <span class="op">+</span> <span class="ident">one</span>
} <span class="kw">else</span> {
<span class="self">self</span>.<span class="ident">trunc</span>() <span class="op">-</span> <span class="ident">one</span>
}
} <span class="kw">else</span> {
<span class="self">self</span>.<span class="ident">trunc</span>()
}
}
<span class="doccomment">/// Rounds towards zero.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">trunc</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
}
<span class="doccomment">/// Returns the fractional part of a number, with division rounded towards zero.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Satisfies `self == self.trunc() + self.fract()`.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">fract</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">clone</span>() <span class="op">%</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>(), <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>())
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">PrimInt</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="doccomment">/// Raises the `Ratio` to the power of an exponent.</span>
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">pow</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">expon</span>: <span class="ident">i32</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">match</span> <span class="ident">expon</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="number">0</span>) {
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Equal</span> <span class="op">=</span><span class="op">></span> <span class="ident">One</span>::<span class="ident">one</span>(),
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Less</span> <span class="op">=</span><span class="op">></span> <span class="self">self</span>.<span class="ident">recip</span>().<span class="ident">pow</span>(<span class="op">-</span><span class="ident">expon</span>),
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Greater</span> <span class="op">=</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">pow</span>(<span class="ident">expon</span> <span class="kw">as</span> <span class="ident">u32</span>), <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">pow</span>(<span class="ident">expon</span> <span class="kw">as</span> <span class="ident">u32</span>))
}
}
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">impl</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">BigInt</span><span class="op">></span> {
<span class="doccomment">/// Converts a float into a rational number.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_float</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Float</span><span class="op">></span>(<span class="ident">f</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">BigRational</span><span class="op">></span> {
<span class="kw">if</span> <span class="op">!</span><span class="ident">f</span>.<span class="ident">is_finite</span>() {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">let</span> (<span class="ident">mantissa</span>, <span class="ident">exponent</span>, <span class="ident">sign</span>) <span class="op">=</span> <span class="ident">f</span>.<span class="ident">integer_decode</span>();
<span class="kw">let</span> <span class="ident">bigint_sign</span> <span class="op">=</span> <span class="kw">if</span> <span class="ident">sign</span> <span class="op">=</span><span class="op">=</span> <span class="number">1</span> {
<span class="ident">Sign</span>::<span class="ident">Plus</span>
} <span class="kw">else</span> {
<span class="ident">Sign</span>::<span class="ident">Minus</span>
};
<span class="kw">if</span> <span class="ident">exponent</span> <span class="op"><</span> <span class="number">0</span> {
<span class="kw">let</span> <span class="ident">one</span>: <span class="ident">BigInt</span> <span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="ident">denom</span>: <span class="ident">BigInt</span> <span class="op">=</span> <span class="ident">one</span> <span class="op"><</span><span class="op"><</span> ((<span class="op">-</span><span class="ident">exponent</span>) <span class="kw">as</span> <span class="ident">usize</span>);
<span class="kw">let</span> <span class="ident">numer</span>: <span class="ident">BigUint</span> <span class="op">=</span> <span class="ident">FromPrimitive</span>::<span class="ident">from_u64</span>(<span class="ident">mantissa</span>).<span class="ident">unwrap</span>();
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">BigInt</span>::<span class="ident">from_biguint</span>(<span class="ident">bigint_sign</span>, <span class="ident">numer</span>), <span class="ident">denom</span>))
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">numer</span>: <span class="ident">BigUint</span> <span class="op">=</span> <span class="ident">FromPrimitive</span>::<span class="ident">from_u64</span>(<span class="ident">mantissa</span>).<span class="ident">unwrap</span>();
<span class="ident">numer</span> <span class="op">=</span> <span class="ident">numer</span> <span class="op"><</span><span class="op"><</span> (<span class="ident">exponent</span> <span class="kw">as</span> <span class="ident">usize</span>);
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">BigInt</span>::<span class="ident">from_biguint</span>(<span class="ident">bigint_sign</span>, <span class="ident">numer</span>)))
}
}
}
<span class="comment">// From integer</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">From</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> {
<span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">x</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">x</span>)
}
}
<span class="comment">// From pair (through the `new` constructor)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">From</span><span class="op"><</span>(<span class="ident">T</span>, <span class="ident">T</span>)<span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> {
<span class="kw">fn</span> <span class="ident">from</span>(<span class="ident">pair</span>: (<span class="ident">T</span>, <span class="ident">T</span>)) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">pair</span>.<span class="number">0</span>, <span class="ident">pair</span>.<span class="number">1</span>)
}
}
<span class="comment">// Comparisons</span>
<span class="comment">// Mathematically, comparing a/b and c/d is the same as comparing a*d and b*c, but it's very easy</span>
<span class="comment">// for those multiplications to overflow fixed-size integers, so we need to take care.</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">Ord</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">cmp</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span> {
<span class="comment">// With equal denominators, the numerators can be directly compared</span>
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">denom</span> <span class="op">=</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span> {
<span class="kw">let</span> <span class="ident">ord</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">numer</span>);
<span class="kw">return</span> <span class="kw">if</span> <span class="self">self</span>.<span class="ident">denom</span> <span class="op"><</span> <span class="ident">T</span>::<span class="ident">zero</span>() {
<span class="ident">ord</span>.<span class="ident">reverse</span>()
} <span class="kw">else</span> {
<span class="ident">ord</span>
};
}
<span class="comment">// With equal numerators, the denominators can be inversely compared</span>
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">numer</span> <span class="op">=</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">numer</span> {
<span class="kw">let</span> <span class="ident">ord</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">denom</span>);
<span class="kw">return</span> <span class="kw">if</span> <span class="self">self</span>.<span class="ident">numer</span> <span class="op"><</span> <span class="ident">T</span>::<span class="ident">zero</span>() {
<span class="ident">ord</span>
} <span class="kw">else</span> {
<span class="ident">ord</span>.<span class="ident">reverse</span>()
};
}
<span class="comment">// Unfortunately, we don't have CheckedMul to try. That could sometimes avoid all the</span>
<span class="comment">// division below, or even always avoid it for BigInt and BigUint.</span>
<span class="comment">// FIXME- future breaking change to add Checked* to Integer?</span>
<span class="comment">// Compare as floored integers and remainders</span>
<span class="kw">let</span> (<span class="ident">self_int</span>, <span class="ident">self_rem</span>) <span class="op">=</span> <span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">denom</span>);
<span class="kw">let</span> (<span class="ident">other_int</span>, <span class="ident">other_rem</span>) <span class="op">=</span> <span class="ident">other</span>.<span class="ident">numer</span>.<span class="ident">div_mod_floor</span>(<span class="kw-2">&</span><span class="ident">other</span>.<span class="ident">denom</span>);
<span class="kw">match</span> <span class="ident">self_int</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">other_int</span>) {
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Greater</span> <span class="op">=</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Greater</span>,
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Less</span> <span class="op">=</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Less</span>,
<span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Equal</span> <span class="op">=</span><span class="op">></span> {
<span class="kw">match</span> (<span class="ident">self_rem</span>.<span class="ident">is_zero</span>(), <span class="ident">other_rem</span>.<span class="ident">is_zero</span>()) {
(<span class="bool-val">true</span>, <span class="bool-val">true</span>) <span class="op">=</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Equal</span>,
(<span class="bool-val">true</span>, <span class="bool-val">false</span>) <span class="op">=</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Less</span>,
(<span class="bool-val">false</span>, <span class="bool-val">true</span>) <span class="op">=</span><span class="op">></span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Greater</span>,
(<span class="bool-val">false</span>, <span class="bool-val">false</span>) <span class="op">=</span><span class="op">></span> {
<span class="comment">// Compare the reciprocals of the remaining fractions in reverse</span>
<span class="kw">let</span> <span class="ident">self_recip</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>(), <span class="ident">self_rem</span>);
<span class="kw">let</span> <span class="ident">other_recip</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">other</span>.<span class="ident">denom</span>.<span class="ident">clone</span>(), <span class="ident">other_rem</span>);
<span class="ident">self_recip</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">other_recip</span>).<span class="ident">reverse</span>()
}
}
}
}
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">PartialOrd</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">partial_cmp</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">cmp</span>::<span class="ident">Ordering</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">other</span>))
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">PartialEq</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">eq</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="self">Self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">cmp</span>(<span class="ident">other</span>) <span class="op">=</span><span class="op">=</span> <span class="ident">cmp</span>::<span class="ident">Ordering</span>::<span class="ident">Equal</span>
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">Eq</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {}
<span class="comment">// NB: We can't just `#[derive(Hash)]`, because it needs to agree</span>
<span class="comment">// with `Eq` even for non-reduced ratios.</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Hash</span><span class="op">></span> <span class="ident">Hash</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">hash</span><span class="op"><</span><span class="ident">H</span>: <span class="ident">Hasher</span><span class="op">></span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">state</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">H</span>) {
<span class="ident">recurse</span>(<span class="kw-2">&</span><span class="self">self</span>.<span class="ident">numer</span>, <span class="kw-2">&</span><span class="self">self</span>.<span class="ident">denom</span>, <span class="ident">state</span>);
<span class="kw">fn</span> <span class="ident">recurse</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Hash</span>, <span class="ident">H</span>: <span class="ident">Hasher</span><span class="op">></span>(<span class="ident">numer</span>: <span class="kw-2">&</span><span class="ident">T</span>, <span class="ident">denom</span>: <span class="kw-2">&</span><span class="ident">T</span>, <span class="ident">state</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">H</span>) {
<span class="kw">if</span> <span class="op">!</span><span class="ident">denom</span>.<span class="ident">is_zero</span>() {
<span class="kw">let</span> (<span class="ident">int</span>, <span class="ident">rem</span>) <span class="op">=</span> <span class="ident">numer</span>.<span class="ident">div_mod_floor</span>(<span class="ident">denom</span>);
<span class="ident">int</span>.<span class="ident">hash</span>(<span class="ident">state</span>);
<span class="ident">recurse</span>(<span class="ident">denom</span>, <span class="kw-2">&</span><span class="ident">rem</span>, <span class="ident">state</span>);
} <span class="kw">else</span> {
<span class="ident">denom</span>.<span class="ident">hash</span>(<span class="ident">state</span>);
}
}
}
}
<span class="kw">mod</span> <span class="ident">opassign</span> {
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">ops</span>::{<span class="ident">AddAssign</span>, <span class="ident">SubAssign</span>, <span class="ident">MulAssign</span>, <span class="ident">DivAssign</span>, <span class="ident">RemAssign</span>};
<span class="kw">use</span> <span class="ident">Ratio</span>;
<span class="kw">use</span> <span class="ident">integer</span>::<span class="ident">Integer</span>;
<span class="kw">use</span> <span class="ident">traits</span>::<span class="ident">NumAssign</span>;
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">AddAssign</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>.<span class="ident">clone</span>();
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">+</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>.<span class="ident">numer</span>;
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">DivAssign</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>;
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">numer</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">MulAssign</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">numer</span>;
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">RemAssign</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>.<span class="ident">clone</span>();
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">%</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>.<span class="ident">numer</span>;
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">SubAssign</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>.<span class="ident">clone</span>();
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">-</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>.<span class="ident">numer</span>;
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>.<span class="ident">denom</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="comment">// a/b + c/1 = (a*1 + b*c) / (b*1) = (a + b*c) / b</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">AddAssign</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">add_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">+</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">DivAssign</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">div_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) {
<span class="self">self</span>.<span class="ident">denom</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">MulAssign</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">mul_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">other</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="comment">// a/b % c/1 = (a*1 % b*c) / (b*1) = (a % b*c) / b</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">RemAssign</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">rem_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">%</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="comment">// a/b - c/1 = (a*1 - b*c) / (b*1) = (a - b*c) / b</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="ident">SubAssign</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">sub_assign</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) {
<span class="self">self</span>.<span class="ident">numer</span> <span class="op">-</span><span class="op">=</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">other</span>;
<span class="self">self</span>.<span class="ident">reduce</span>();
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">forward_op_assign</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) {
<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">NumAssign</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">T</span>) {
<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
}
}
<span class="macro">forward_op_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">AddAssign</span>, <span class="ident">add_assign</span>);
<span class="macro">forward_op_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">DivAssign</span>, <span class="ident">div_assign</span>);
<span class="macro">forward_op_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">MulAssign</span>, <span class="ident">mul_assign</span>);
<span class="macro">forward_op_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">RemAssign</span>, <span class="ident">rem_assign</span>);
<span class="macro">forward_op_assign</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">SubAssign</span>, <span class="ident">sub_assign</span>);
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">forward_ref_ref_binop</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="lifetime">'b</span>, <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="ident">clone</span>().<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="lifetime">'b</span>, <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="lifetime">'b</span> <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="ident">clone</span>().<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">forward_ref_val_binop</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span>
<span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="ident">clone</span>().<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>)
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span>
<span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="ident">clone</span>().<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>)
}
}
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">forward_val_ref_binop</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span>
<span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">where</span>
<span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="self">self</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="ident">other</span>.<span class="ident">clone</span>())
}
}
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">forward_all_binop</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="macro">forward_ref_ref_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>);
<span class="macro">forward_ref_val_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>);
<span class="macro">forward_val_ref_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>);
};
}
<span class="comment">// Arithmetic</span>
<span class="macro">forward_all_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Mul</span>, <span class="ident">mul</span>);
<span class="comment">// a/b * c/d = (a*c)/(b*d)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">numer</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">numer</span>,
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">denom</span>)
}
}
<span class="comment">// a/b * c/1 = (a*c) / (b*1) = (a*c) / b</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Mul</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">mul</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">numer</span> <span class="op">*</span> <span class="ident">rhs</span>,
<span class="self">self</span>.<span class="ident">denom</span>)
}
}
<span class="macro">forward_all_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Div</span>, <span class="ident">div</span>);
<span class="comment">// (a/b) / (c/d) = (a*d) / (b*c)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Div</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">numer</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">denom</span>,
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">numer</span>)
}
}
<span class="comment">// (a/b) / (c/1) = (a*1) / (b*c) = a / (b*c)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Div</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">div</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">numer</span>,
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">*</span> <span class="ident">rhs</span>)
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">arith_impl</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="macro">forward_all_binop</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>);
<span class="comment">// Abstracts the a/b `op` c/d = (a*d `op` b*c) / (b*d) pattern</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>((<span class="self">self</span>.<span class="ident">numer</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">denom</span>.<span class="ident">clone</span>()).<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">numer</span>),
<span class="self">self</span>.<span class="ident">denom</span> <span class="op">*</span> <span class="ident">rhs</span>.<span class="ident">denom</span>)
}
}
<span class="comment">// Abstracts the a/b `op` c/1 = (a*1 `op` b*c) / (b*1) = (a `op` b*c) / b pattern</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>, <span class="ident">rhs</span>: <span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">rhs</span>),
<span class="self">self</span>.<span class="ident">denom</span>)
}
}
}
}
<span class="macro">arith_impl</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Add</span>, <span class="ident">add</span>);
<span class="macro">arith_impl</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Sub</span>, <span class="ident">sub</span>);
<span class="macro">arith_impl</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">Rem</span>, <span class="ident">rem</span>);
<span class="comment">// Like `std::try!` for Option<T>, unwrap the value or early-return None.</span>
<span class="comment">// Since Rust 1.22 this can be replaced by the `?` operator.</span>
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">otry</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">expr</span>:<span class="ident">expr</span>) <span class="op">=</span><span class="op">></span> (<span class="kw">match</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">expr</span> {
<span class="prelude-val">Some</span>(<span class="ident">val</span>) <span class="op">=</span><span class="op">></span> <span class="ident">val</span>,
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw">return</span> <span class="prelude-val">None</span>,
})
}
<span class="comment">// a/b * c/d = (a*c)/(b*d)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">CheckedMul</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">CheckedMul</span>
{
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">rhs</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">numer</span>)),
<span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">denom</span>))))
}
}
<span class="comment">// (a/b) / (c/d) = (a*d)/(b*c)</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">CheckedDiv</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">CheckedMul</span>
{
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">rhs</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">bc</span> <span class="op">=</span> <span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">numer</span>));
<span class="kw">if</span> <span class="ident">bc</span>.<span class="ident">is_zero</span>() {
<span class="prelude-val">None</span>
} <span class="kw">else</span> {
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">denom</span>)), <span class="ident">bc</span>))
}
}
}
<span class="comment">// As arith_impl! but for Checked{Add,Sub} traits</span>
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">checked_arith_impl</span> {
(<span class="kw">impl</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span>:<span class="ident">ident</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">CheckedMul</span> <span class="op">+</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span><span class="op">></span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">imp</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">rhs</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">ad</span> <span class="op">=</span> <span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">denom</span>));
<span class="kw">let</span> <span class="ident">bc</span> <span class="op">=</span> <span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">numer</span>));
<span class="kw">let</span> <span class="ident">bd</span> <span class="op">=</span> <span class="macro">otry</span><span class="macro">!</span>(<span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">rhs</span>.<span class="ident">denom</span>));
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="macro">otry</span><span class="macro">!</span>(<span class="ident">ad</span>.<span class="macro-nonterminal">$</span><span class="macro-nonterminal">method</span>(<span class="kw-2">&</span><span class="ident">bc</span>)), <span class="ident">bd</span>))
}
}
}
}
<span class="comment">// a/b + c/d = (a*d + b*c)/(b*d)</span>
<span class="macro">checked_arith_impl</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">CheckedAdd</span>, <span class="ident">checked_add</span>);
<span class="comment">// a/b - c/d = (a*d - b*c)/(b*d)</span>
<span class="macro">checked_arith_impl</span><span class="macro">!</span>(<span class="kw">impl</span> <span class="ident">CheckedSub</span>, <span class="ident">checked_sub</span>);
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Neg</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Neg</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">T</span><span class="op">></span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="op">-</span><span class="self">self</span>.<span class="ident">numer</span>, <span class="self">self</span>.<span class="ident">denom</span>)
}
}
<span class="kw">impl</span><span class="op"><</span><span class="lifetime">'a</span>, <span class="ident">T</span><span class="op">></span> <span class="ident">Neg</span> <span class="kw">for</span> <span class="kw-2">&</span><span class="lifetime">'a</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Neg</span><span class="op"><</span><span class="ident">Output</span> <span class="op">=</span> <span class="ident">T</span><span class="op">></span>
{
<span class="kw">type</span> <span class="ident">Output</span> <span class="op">=</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>;
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">neg</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="op">-</span><span class="self">self</span>.<span class="ident">clone</span>()
}
}
<span class="comment">// Constants</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">Zero</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">zero</span>() <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">Zero</span>::<span class="ident">zero</span>(), <span class="ident">One</span>::<span class="ident">one</span>())
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">is_zero</span>()
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">One</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">one</span>() <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">One</span>::<span class="ident">one</span>(), <span class="ident">One</span>::<span class="ident">one</span>())
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">Num</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="ident">FromStrRadixErr</span> <span class="op">=</span> <span class="ident">ParseRatioError</span>;
<span class="doccomment">/// Parses `numer/denom` where the numbers are in base `radix`.</span>
<span class="kw">fn</span> <span class="ident">from_str_radix</span>(<span class="ident">s</span>: <span class="kw-2">&</span><span class="ident">str</span>, <span class="ident">radix</span>: <span class="ident">u32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>, <span class="ident">ParseRatioError</span><span class="op">></span> {
<span class="kw">let</span> <span class="ident">split</span>: <span class="ident">Vec</span><span class="op"><</span><span class="kw-2">&</span><span class="ident">str</span><span class="op">></span> <span class="op">=</span> <span class="ident">s</span>.<span class="ident">splitn</span>(<span class="number">2</span>, <span class="string">'/'</span>).<span class="ident">collect</span>();
<span class="kw">if</span> <span class="ident">split</span>.<span class="ident">len</span>() <span class="op"><</span> <span class="number">2</span> {
<span class="prelude-val">Err</span>(<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> })
} <span class="kw">else</span> {
<span class="kw">let</span> <span class="ident">a_result</span>: <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">T</span>, <span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">from_str_radix</span>(<span class="ident">split</span>[<span class="number">0</span>], <span class="ident">radix</span>).<span class="ident">map_err</span>(<span class="op">|</span><span class="kw">_</span><span class="op">|</span> {
<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> }
});
<span class="ident">a_result</span>.<span class="ident">and_then</span>(<span class="op">|</span><span class="ident">a</span><span class="op">|</span> {
<span class="kw">let</span> <span class="ident">b_result</span>: <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">T</span>, <span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">from_str_radix</span>(<span class="ident">split</span>[<span class="number">1</span>], <span class="ident">radix</span>).<span class="ident">map_err</span>(<span class="op">|</span><span class="kw">_</span><span class="op">|</span> {
<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> }
});
<span class="ident">b_result</span>.<span class="ident">and_then</span>(<span class="op">|</span><span class="ident">b</span><span class="op">|</span> {
<span class="kw">if</span> <span class="ident">b</span>.<span class="ident">is_zero</span>() {
<span class="prelude-val">Err</span>(<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ZeroDenominator</span> })
} <span class="kw">else</span> {
<span class="prelude-val">Ok</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">a</span>.<span class="ident">clone</span>(), <span class="ident">b</span>.<span class="ident">clone</span>()))
}
})
})
}
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Signed</span><span class="op">></span> <span class="ident">Signed</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">abs</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_negative</span>() {
<span class="op">-</span><span class="self">self</span>.<span class="ident">clone</span>()
} <span class="kw">else</span> {
<span class="self">self</span>.<span class="ident">clone</span>()
}
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">abs_sub</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">other</span>: <span class="kw-2">&</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="kw-2">*</span><span class="self">self</span> <span class="op"><</span><span class="op">=</span> <span class="kw-2">*</span><span class="ident">other</span> {
<span class="ident">Zero</span>::<span class="ident">zero</span>()
} <span class="kw">else</span> {
<span class="self">self</span> <span class="op">-</span> <span class="ident">other</span>
}
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">signum</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_positive</span>() {
<span class="self">Self</span>::<span class="ident">one</span>()
} <span class="kw">else</span> <span class="kw">if</span> <span class="self">self</span>.<span class="ident">is_zero</span>() {
<span class="self">Self</span>::<span class="ident">zero</span>()
} <span class="kw">else</span> {
<span class="op">-</span><span class="self">Self</span>::<span class="ident">one</span>()
}
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_positive</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">is_positive</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">is_positive</span>()) <span class="op">|</span><span class="op">|</span>
(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">is_negative</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">is_negative</span>())
}
<span class="attribute">#[<span class="ident">inline</span>]</span>
<span class="kw">fn</span> <span class="ident">is_negative</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="ident">bool</span> {
(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">is_negative</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">is_positive</span>()) <span class="op">|</span><span class="op">|</span>
(<span class="self">self</span>.<span class="ident">numer</span>.<span class="ident">is_positive</span>() <span class="kw-2">&</span><span class="op">&</span> <span class="self">self</span>.<span class="ident">denom</span>.<span class="ident">is_negative</span>())
}
}
<span class="comment">// String conversions</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">fmt</span>::<span class="ident">Display</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">fmt</span>::<span class="ident">Display</span> <span class="op">+</span> <span class="ident">Eq</span> <span class="op">+</span> <span class="ident">One</span>
{
<span class="doccomment">/// Renders as `numer/denom`. If denom=1, renders as numer.</span>
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="kw">if</span> <span class="self">self</span>.<span class="ident">denom</span> <span class="op">=</span><span class="op">=</span> <span class="ident">One</span>::<span class="ident">one</span>() {
<span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">"{}"</span>, <span class="self">self</span>.<span class="ident">numer</span>)
} <span class="kw">else</span> {
<span class="macro">write</span><span class="macro">!</span>(<span class="ident">f</span>, <span class="string">"{}/{}"</span>, <span class="self">self</span>.<span class="ident">numer</span>, <span class="self">self</span>.<span class="ident">denom</span>)
}
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">FromStr</span> <span class="op">+</span> <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span><span class="op">></span> <span class="ident">FromStr</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">type</span> <span class="prelude-val">Err</span> <span class="op">=</span> <span class="ident">ParseRatioError</span>;
<span class="doccomment">/// Parses `numer/denom` or just `numer`.</span>
<span class="kw">fn</span> <span class="ident">from_str</span>(<span class="ident">s</span>: <span class="kw-2">&</span><span class="ident">str</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>, <span class="ident">ParseRatioError</span><span class="op">></span> {
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">split</span> <span class="op">=</span> <span class="ident">s</span>.<span class="ident">splitn</span>(<span class="number">2</span>, <span class="string">'/'</span>);
<span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> <span class="macro">try</span><span class="macro">!</span>(<span class="ident">split</span>.<span class="ident">next</span>().<span class="ident">ok_or</span>(<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> }));
<span class="kw">let</span> <span class="ident">num</span> <span class="op">=</span> <span class="macro">try</span><span class="macro">!</span>(<span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="ident">n</span>)
.<span class="ident">map_err</span>(<span class="op">|</span><span class="kw">_</span><span class="op">|</span> <span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> }));
<span class="kw">let</span> <span class="ident">d</span> <span class="op">=</span> <span class="ident">split</span>.<span class="ident">next</span>().<span class="ident">unwrap_or</span>(<span class="string">"1"</span>);
<span class="kw">let</span> <span class="ident">den</span> <span class="op">=</span> <span class="macro">try</span><span class="macro">!</span>(<span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="ident">d</span>)
.<span class="ident">map_err</span>(<span class="op">|</span><span class="kw">_</span><span class="op">|</span> <span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> }));
<span class="kw">if</span> <span class="ident">Zero</span>::<span class="ident">is_zero</span>(<span class="kw-2">&</span><span class="ident">den</span>) {
<span class="prelude-val">Err</span>(<span class="ident">ParseRatioError</span> { <span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>::<span class="ident">ZeroDenominator</span> })
} <span class="kw">else</span> {
<span class="prelude-val">Ok</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">num</span>, <span class="ident">den</span>))
}
}
}
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">Into</span><span class="op"><</span>(<span class="ident">T</span>, <span class="ident">T</span>)<span class="op">></span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">into</span>(<span class="self">self</span>) <span class="op">-</span><span class="op">></span> (<span class="ident">T</span>, <span class="ident">T</span>) {
(<span class="self">self</span>.<span class="ident">numer</span>, <span class="self">self</span>.<span class="ident">denom</span>)
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">serde</span>::<span class="ident">Serialize</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">serde</span>::<span class="ident">Serialize</span> <span class="op">+</span> <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">PartialOrd</span>
{
<span class="kw">fn</span> <span class="ident">serialize</span><span class="op"><</span><span class="ident">S</span><span class="op">></span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">serializer</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">S</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span>(), <span class="ident">S</span>::<span class="ident">Error</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">S</span>: <span class="ident">serde</span>::<span class="ident">Serializer</span>
{
(<span class="self">self</span>.<span class="ident">numer</span>(), <span class="self">self</span>.<span class="ident">denom</span>()).<span class="ident">serialize</span>(<span class="ident">serializer</span>)
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"serde"</span>)]</span>
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> <span class="ident">serde</span>::<span class="ident">Deserialize</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">serde</span>::<span class="ident">Deserialize</span> <span class="op">+</span> <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">PartialOrd</span>
{
<span class="kw">fn</span> <span class="ident">deserialize</span><span class="op"><</span><span class="ident">D</span><span class="op">></span>(<span class="ident">deserializer</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">D</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Result</span><span class="op"><</span><span class="self">Self</span>, <span class="ident">D</span>::<span class="ident">Error</span><span class="op">></span>
<span class="kw">where</span> <span class="ident">D</span>: <span class="ident">serde</span>::<span class="ident">Deserializer</span>
{
<span class="kw">let</span> (<span class="ident">numer</span>, <span class="ident">denom</span>): (<span class="ident">T</span>,<span class="ident">T</span>) <span class="op">=</span> <span class="macro">try</span><span class="macro">!</span>(<span class="ident">serde</span>::<span class="ident">Deserialize</span>::<span class="ident">deserialize</span>(<span class="ident">deserializer</span>));
<span class="kw">if</span> <span class="ident">denom</span>.<span class="ident">is_zero</span>() {
<span class="prelude-val">Err</span>(<span class="ident">serde</span>::<span class="ident">de</span>::<span class="ident">Error</span>::<span class="ident">invalid_value</span>(<span class="string">"denominator is zero"</span>))
} <span class="kw">else</span> {
<span class="prelude-val">Ok</span>(<span class="ident">Ratio</span>::<span class="ident">new_raw</span>(<span class="ident">numer</span>, <span class="ident">denom</span>))
}
}
}
<span class="comment">// FIXME: Bubble up specific errors</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Debug</span>, <span class="ident">PartialEq</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">ParseRatioError</span> {
<span class="ident">kind</span>: <span class="ident">RatioErrorKind</span>,
}
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Copy</span>, <span class="ident">Clone</span>, <span class="ident">Debug</span>, <span class="ident">PartialEq</span>)]</span>
<span class="kw">enum</span> <span class="ident">RatioErrorKind</span> {
<span class="ident">ParseError</span>,
<span class="ident">ZeroDenominator</span>,
}
<span class="kw">impl</span> <span class="ident">fmt</span>::<span class="ident">Display</span> <span class="kw">for</span> <span class="ident">ParseRatioError</span> {
<span class="kw">fn</span> <span class="ident">fmt</span>(<span class="kw-2">&</span><span class="self">self</span>, <span class="ident">f</span>: <span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">fmt</span>::<span class="ident">Formatter</span>) <span class="op">-</span><span class="op">></span> <span class="ident">fmt</span>::<span class="prelude-ty">Result</span> {
<span class="self">self</span>.<span class="ident">description</span>().<span class="ident">fmt</span>(<span class="ident">f</span>)
}
}
<span class="kw">impl</span> <span class="ident">Error</span> <span class="kw">for</span> <span class="ident">ParseRatioError</span> {
<span class="kw">fn</span> <span class="ident">description</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="kw-2">&</span><span class="ident">str</span> {
<span class="self">self</span>.<span class="ident">kind</span>.<span class="ident">description</span>()
}
}
<span class="kw">impl</span> <span class="ident">RatioErrorKind</span> {
<span class="kw">fn</span> <span class="ident">description</span>(<span class="kw-2">&</span><span class="self">self</span>) <span class="op">-</span><span class="op">></span> <span class="kw-2">&</span><span class="lifetime">'static</span> <span class="ident">str</span> {
<span class="kw">match</span> <span class="kw-2">*</span><span class="self">self</span> {
<span class="ident">RatioErrorKind</span>::<span class="ident">ParseError</span> <span class="op">=</span><span class="op">></span> <span class="string">"failed to parse integer"</span>,
<span class="ident">RatioErrorKind</span>::<span class="ident">ZeroDenominator</span> <span class="op">=</span><span class="op">></span> <span class="string">"zero value denominator"</span>,
}
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">impl</span> <span class="ident">FromPrimitive</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">BigInt</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">from_i64</span>(<span class="ident">n</span>: <span class="ident">i64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">n</span>.<span class="ident">into</span>()))
}
<span class="kw">fn</span> <span class="ident">from_u64</span>(<span class="ident">n</span>: <span class="ident">u64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="ident">n</span>.<span class="ident">into</span>()))
}
<span class="kw">fn</span> <span class="ident">from_f32</span>(<span class="ident">n</span>: <span class="ident">f32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">n</span>)
}
<span class="kw">fn</span> <span class="ident">from_f64</span>(<span class="ident">n</span>: <span class="ident">f64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">n</span>)
}
}
<span class="macro">macro_rules</span><span class="macro">!</span> <span class="ident">from_primitive_integer</span> {
(<span class="macro-nonterminal">$</span><span class="macro-nonterminal">typ</span>:<span class="ident">ty</span>, <span class="macro-nonterminal">$</span><span class="macro-nonterminal">approx</span>:<span class="ident">ident</span>) <span class="op">=</span><span class="op">></span> {
<span class="kw">impl</span> <span class="ident">FromPrimitive</span> <span class="kw">for</span> <span class="ident">Ratio</span><span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">typ</span><span class="op">></span> {
<span class="kw">fn</span> <span class="ident">from_i64</span>(<span class="ident">n</span>: <span class="ident">i64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">typ</span> <span class="kw">as</span> <span class="ident">FromPrimitive</span><span class="op">></span>::<span class="ident">from_i64</span>(<span class="ident">n</span>).<span class="ident">map</span>(<span class="ident">Ratio</span>::<span class="ident">from_integer</span>)
}
<span class="kw">fn</span> <span class="ident">from_u64</span>(<span class="ident">n</span>: <span class="ident">u64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="op"><</span><span class="macro-nonterminal">$</span><span class="macro-nonterminal">typ</span> <span class="kw">as</span> <span class="ident">FromPrimitive</span><span class="op">></span>::<span class="ident">from_u64</span>(<span class="ident">n</span>).<span class="ident">map</span>(<span class="ident">Ratio</span>::<span class="ident">from_integer</span>)
}
<span class="kw">fn</span> <span class="ident">from_f32</span>(<span class="ident">n</span>: <span class="ident">f32</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="macro-nonterminal">$</span><span class="macro-nonterminal">approx</span>(<span class="ident">n</span>, <span class="number">10e-20</span>, <span class="number">30</span>)
}
<span class="kw">fn</span> <span class="ident">from_f64</span>(<span class="ident">n</span>: <span class="ident">f64</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="self">Self</span><span class="op">></span> {
<span class="macro-nonterminal">$</span><span class="macro-nonterminal">approx</span>(<span class="ident">n</span>, <span class="number">10e-20</span>, <span class="number">30</span>)
}
}
}
}
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">i8</span>, <span class="ident">approximate_float</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">i16</span>, <span class="ident">approximate_float</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">i32</span>, <span class="ident">approximate_float</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">i64</span>, <span class="ident">approximate_float</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">isize</span>, <span class="ident">approximate_float</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">u8</span>, <span class="ident">approximate_float_unsigned</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">u16</span>, <span class="ident">approximate_float_unsigned</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">u32</span>, <span class="ident">approximate_float_unsigned</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">u64</span>, <span class="ident">approximate_float_unsigned</span>);
<span class="macro">from_primitive_integer</span><span class="macro">!</span>(<span class="ident">usize</span>, <span class="ident">approximate_float_unsigned</span>);
<span class="kw">impl</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Signed</span> <span class="op">+</span> <span class="ident">Bounded</span> <span class="op">+</span> <span class="ident">NumCast</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">></span> <span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span> {
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">approximate_float</span><span class="op"><</span><span class="ident">F</span>: <span class="ident">Float</span> <span class="op">+</span> <span class="ident">NumCast</span><span class="op">></span>(<span class="ident">f</span>: <span class="ident">F</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span> {
<span class="comment">// 1/10e-20 < 1/2**32 which seems like a good default, and 30 seems</span>
<span class="comment">// to work well. Might want to choose something based on the types in the future, e.g.</span>
<span class="comment">// T::max().recip() and T::bits() or something similar.</span>
<span class="kw">let</span> <span class="ident">epsilon</span> <span class="op">=</span> <span class="op"><</span><span class="ident">F</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="number">10e-20</span>).<span class="ident">expect</span>(<span class="string">"Can't convert 10e-20"</span>);
<span class="ident">approximate_float</span>(<span class="ident">f</span>, <span class="ident">epsilon</span>, <span class="number">30</span>)
}
}
<span class="kw">fn</span> <span class="ident">approximate_float</span><span class="op"><</span><span class="ident">T</span>, <span class="ident">F</span><span class="op">></span>(<span class="ident">val</span>: <span class="ident">F</span>, <span class="ident">max_error</span>: <span class="ident">F</span>, <span class="ident">max_iterations</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Signed</span> <span class="op">+</span> <span class="ident">Bounded</span> <span class="op">+</span> <span class="ident">NumCast</span> <span class="op">+</span> <span class="ident">Clone</span>,
<span class="ident">F</span>: <span class="ident">Float</span> <span class="op">+</span> <span class="ident">NumCast</span>
{
<span class="kw">let</span> <span class="ident">negative</span> <span class="op">=</span> <span class="ident">val</span>.<span class="ident">is_sign_negative</span>();
<span class="kw">let</span> <span class="ident">abs_val</span> <span class="op">=</span> <span class="ident">val</span>.<span class="ident">abs</span>();
<span class="kw">let</span> <span class="ident">r</span> <span class="op">=</span> <span class="ident">approximate_float_unsigned</span>(<span class="ident">abs_val</span>, <span class="ident">max_error</span>, <span class="ident">max_iterations</span>);
<span class="comment">// Make negative again if needed</span>
<span class="kw">if</span> <span class="ident">negative</span> {
<span class="ident">r</span>.<span class="ident">map</span>(<span class="op">|</span><span class="ident">r</span><span class="op">|</span> <span class="ident">r</span>.<span class="ident">neg</span>())
} <span class="kw">else</span> {
<span class="ident">r</span>
}
}
<span class="comment">// No Unsigned constraint because this also works on positive integers and is called</span>
<span class="comment">// like that, see above</span>
<span class="kw">fn</span> <span class="ident">approximate_float_unsigned</span><span class="op"><</span><span class="ident">T</span>, <span class="ident">F</span><span class="op">></span>(<span class="ident">val</span>: <span class="ident">F</span>, <span class="ident">max_error</span>: <span class="ident">F</span>, <span class="ident">max_iterations</span>: <span class="ident">usize</span>) <span class="op">-</span><span class="op">></span> <span class="prelude-ty">Option</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">T</span><span class="op">></span><span class="op">></span>
<span class="kw">where</span> <span class="ident">T</span>: <span class="ident">Integer</span> <span class="op">+</span> <span class="ident">Bounded</span> <span class="op">+</span> <span class="ident">NumCast</span> <span class="op">+</span> <span class="ident">Clone</span>,
<span class="ident">F</span>: <span class="ident">Float</span> <span class="op">+</span> <span class="ident">NumCast</span>
{
<span class="comment">// Continued fractions algorithm</span>
<span class="comment">// http://mathforum.org/dr.math/faq/faq.fractions.html#decfrac</span>
<span class="kw">if</span> <span class="ident">val</span> <span class="op"><</span> <span class="ident">F</span>::<span class="ident">zero</span>() <span class="op">|</span><span class="op">|</span> <span class="ident">val</span>.<span class="ident">is_nan</span>() {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">q</span> <span class="op">=</span> <span class="ident">val</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n0</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">zero</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">d0</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">n1</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">one</span>();
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">d1</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">zero</span>();
<span class="kw">let</span> <span class="ident">t_max</span> <span class="op">=</span> <span class="ident">T</span>::<span class="ident">max_value</span>();
<span class="kw">let</span> <span class="ident">t_max_f</span> <span class="op">=</span> <span class="kw">match</span> <span class="op"><</span><span class="ident">F</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="ident">t_max</span>.<span class="ident">clone</span>()) {
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw">return</span> <span class="prelude-val">None</span>,
<span class="prelude-val">Some</span>(<span class="ident">t_max_f</span>) <span class="op">=</span><span class="op">></span> <span class="ident">t_max_f</span>,
};
<span class="comment">// 1/epsilon > T::MAX</span>
<span class="kw">let</span> <span class="ident">epsilon</span> <span class="op">=</span> <span class="ident">t_max_f</span>.<span class="ident">recip</span>();
<span class="comment">// Overflow</span>
<span class="kw">if</span> <span class="ident">q</span> <span class="op">></span> <span class="ident">t_max_f</span> {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="kw">for</span> <span class="kw">_</span> <span class="kw">in</span> <span class="number">0</span>..<span class="ident">max_iterations</span> {
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="kw">match</span> <span class="op"><</span><span class="ident">T</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="ident">q</span>) {
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw">break</span>,
<span class="prelude-val">Some</span>(<span class="ident">a</span>) <span class="op">=</span><span class="op">></span> <span class="ident">a</span>,
};
<span class="kw">let</span> <span class="ident">a_f</span> <span class="op">=</span> <span class="kw">match</span> <span class="op"><</span><span class="ident">F</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="ident">a</span>.<span class="ident">clone</span>()) {
<span class="prelude-val">None</span> <span class="op">=</span><span class="op">></span> <span class="kw">break</span>,
<span class="prelude-val">Some</span>(<span class="ident">a_f</span>) <span class="op">=</span><span class="op">></span> <span class="ident">a_f</span>,
};
<span class="kw">let</span> <span class="ident">f</span> <span class="op">=</span> <span class="ident">q</span> <span class="op">-</span> <span class="ident">a_f</span>;
<span class="comment">// Prevent overflow</span>
<span class="kw">if</span> <span class="op">!</span><span class="ident">a</span>.<span class="ident">is_zero</span>() <span class="kw-2">&</span><span class="op">&</span>
(<span class="ident">n1</span> <span class="op">></span> <span class="ident">t_max</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">|</span><span class="op">|</span>
<span class="ident">d1</span> <span class="op">></span> <span class="ident">t_max</span>.<span class="ident">clone</span>() <span class="op">/</span> <span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">|</span><span class="op">|</span>
<span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">n1</span>.<span class="ident">clone</span>() <span class="op">></span> <span class="ident">t_max</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="ident">n0</span>.<span class="ident">clone</span>() <span class="op">|</span><span class="op">|</span>
<span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">d1</span>.<span class="ident">clone</span>() <span class="op">></span> <span class="ident">t_max</span>.<span class="ident">clone</span>() <span class="op">-</span> <span class="ident">d0</span>.<span class="ident">clone</span>()) {
<span class="kw">break</span>;
}
<span class="kw">let</span> <span class="ident">n</span> <span class="op">=</span> <span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">n1</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">n0</span>.<span class="ident">clone</span>();
<span class="kw">let</span> <span class="ident">d</span> <span class="op">=</span> <span class="ident">a</span>.<span class="ident">clone</span>() <span class="op">*</span> <span class="ident">d1</span>.<span class="ident">clone</span>() <span class="op">+</span> <span class="ident">d0</span>.<span class="ident">clone</span>();
<span class="ident">n0</span> <span class="op">=</span> <span class="ident">n1</span>;
<span class="ident">d0</span> <span class="op">=</span> <span class="ident">d1</span>;
<span class="ident">n1</span> <span class="op">=</span> <span class="ident">n</span>.<span class="ident">clone</span>();
<span class="ident">d1</span> <span class="op">=</span> <span class="ident">d</span>.<span class="ident">clone</span>();
<span class="comment">// Simplify fraction. Doing so here instead of at the end</span>
<span class="comment">// allows us to get closer to the target value without overflows</span>
<span class="kw">let</span> <span class="ident">g</span> <span class="op">=</span> <span class="ident">Integer</span>::<span class="ident">gcd</span>(<span class="kw-2">&</span><span class="ident">n1</span>, <span class="kw-2">&</span><span class="ident">d1</span>);
<span class="kw">if</span> <span class="op">!</span><span class="ident">g</span>.<span class="ident">is_zero</span>() {
<span class="ident">n1</span> <span class="op">=</span> <span class="ident">n1</span> <span class="op">/</span> <span class="ident">g</span>.<span class="ident">clone</span>();
<span class="ident">d1</span> <span class="op">=</span> <span class="ident">d1</span> <span class="op">/</span> <span class="ident">g</span>.<span class="ident">clone</span>();
}
<span class="comment">// Close enough?</span>
<span class="kw">let</span> (<span class="ident">n_f</span>, <span class="ident">d_f</span>) <span class="op">=</span> <span class="kw">match</span> (<span class="op"><</span><span class="ident">F</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="ident">n</span>), <span class="op"><</span><span class="ident">F</span> <span class="kw">as</span> <span class="ident">NumCast</span><span class="op">></span>::<span class="ident">from</span>(<span class="ident">d</span>)) {
(<span class="prelude-val">Some</span>(<span class="ident">n_f</span>), <span class="prelude-val">Some</span>(<span class="ident">d_f</span>)) <span class="op">=</span><span class="op">></span> (<span class="ident">n_f</span>, <span class="ident">d_f</span>),
<span class="kw">_</span> <span class="op">=</span><span class="op">></span> <span class="kw">break</span>,
};
<span class="kw">if</span> (<span class="ident">n_f</span> <span class="op">/</span> <span class="ident">d_f</span> <span class="op">-</span> <span class="ident">val</span>).<span class="ident">abs</span>() <span class="op"><</span> <span class="ident">max_error</span> {
<span class="kw">break</span>;
}
<span class="comment">// Prevent division by ~0</span>
<span class="kw">if</span> <span class="ident">f</span> <span class="op"><</span> <span class="ident">epsilon</span> {
<span class="kw">break</span>;
}
<span class="ident">q</span> <span class="op">=</span> <span class="ident">f</span>.<span class="ident">recip</span>();
}
<span class="comment">// Overflow</span>
<span class="kw">if</span> <span class="ident">d1</span>.<span class="ident">is_zero</span>() {
<span class="kw">return</span> <span class="prelude-val">None</span>;
}
<span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">n1</span>, <span class="ident">d1</span>))
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">fn</span> <span class="ident">hash</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Hash</span><span class="op">></span>(<span class="ident">x</span>: <span class="kw-2">&</span><span class="ident">T</span>) <span class="op">-</span><span class="op">></span> <span class="ident">u64</span> {
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">hash</span>::<span class="ident">BuildHasher</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">collections</span>::<span class="ident">hash_map</span>::<span class="ident">RandomState</span>;
<span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">hasher</span> <span class="op">=</span> <span class="op"><</span><span class="ident">RandomState</span> <span class="kw">as</span> <span class="ident">BuildHasher</span><span class="op">></span>::<span class="ident">Hasher</span>::<span class="ident">new</span>();
<span class="ident">x</span>.<span class="ident">hash</span>(<span class="kw-2">&</span><span class="kw-2">mut</span> <span class="ident">hasher</span>);
<span class="ident">hasher</span>.<span class="ident">finish</span>()
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">test</span>)]</span>
<span class="kw">mod</span> <span class="ident">test</span> {
<span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">Ratio</span>, <span class="ident">Rational</span>};
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">use</span> <span class="kw">super</span>::<span class="ident">BigRational</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">str</span>::<span class="ident">FromStr</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">i32</span>;
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">f64</span>;
<span class="kw">use</span> <span class="ident">traits</span>::{<span class="ident">Zero</span>, <span class="ident">One</span>, <span class="ident">Signed</span>, <span class="ident">FromPrimitive</span>};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_0</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">0</span>,
<span class="ident">denom</span>: <span class="number">1</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_1</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">1</span>,
<span class="ident">denom</span>: <span class="number">1</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">2</span>,
<span class="ident">denom</span>: <span class="number">1</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_NEG2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="op">-</span><span class="number">2</span>,
<span class="ident">denom</span>: <span class="number">1</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_1_2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">1</span>,
<span class="ident">denom</span>: <span class="number">2</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_3_2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">3</span>,
<span class="ident">denom</span>: <span class="number">2</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_NEG1_2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="op">-</span><span class="number">1</span>,
<span class="ident">denom</span>: <span class="number">2</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_1_NEG2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">1</span>,
<span class="ident">denom</span>: <span class="op">-</span><span class="number">2</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_NEG1_NEG2</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="op">-</span><span class="number">1</span>,
<span class="ident">denom</span>: <span class="op">-</span><span class="number">2</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_1_3</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">1</span>,
<span class="ident">denom</span>: <span class="number">3</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_NEG1_3</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="op">-</span><span class="number">1</span>,
<span class="ident">denom</span>: <span class="number">3</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_2_3</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="number">2</span>,
<span class="ident">denom</span>: <span class="number">3</span>,
};
<span class="kw">pub</span> <span class="kw">const</span> <span class="ident">_NEG2_3</span>: <span class="ident">Rational</span> <span class="op">=</span> <span class="ident">Ratio</span> {
<span class="ident">numer</span>: <span class="op">-</span><span class="number">2</span>,
<span class="ident">denom</span>: <span class="number">3</span>,
};
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_big</span>(<span class="ident">n</span>: <span class="ident">Rational</span>) <span class="op">-</span><span class="op">></span> <span class="ident">BigRational</span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">FromPrimitive</span>::<span class="ident">from_isize</span>(<span class="ident">n</span>.<span class="ident">numer</span>).<span class="ident">unwrap</span>(),
<span class="ident">FromPrimitive</span>::<span class="ident">from_isize</span>(<span class="ident">n</span>.<span class="ident">denom</span>).<span class="ident">unwrap</span>())
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">not</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>))]</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">to_big</span>(<span class="ident">n</span>: <span class="ident">Rational</span>) <span class="op">-</span><span class="op">></span> <span class="ident">Rational</span> {
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">FromPrimitive</span>::<span class="ident">from_isize</span>(<span class="ident">n</span>.<span class="ident">numer</span>).<span class="ident">unwrap</span>(),
<span class="ident">FromPrimitive</span>::<span class="ident">from_isize</span>(<span class="ident">n</span>.<span class="ident">denom</span>).<span class="ident">unwrap</span>())
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_test_constants</span>() {
<span class="comment">// check our constants are what Ratio::new etc. would make.</span>
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span>, <span class="ident">Zero</span>::<span class="ident">zero</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>, <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span>, <span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="number">2</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>, <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">2</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>, <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">3</span>, <span class="number">2</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>, <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">1</span>, <span class="number">2</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span>, <span class="ident">From</span>::<span class="ident">from</span>(<span class="number">2</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_new_reduce</span>() {
<span class="kw">let</span> <span class="ident">one22</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">2</span>, <span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">one22</span>, <span class="ident">One</span>::<span class="ident">one</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>]</span>
<span class="kw">fn</span> <span class="ident">test_new_zero</span>() {
<span class="kw">let</span> <span class="ident">_a</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_approximate_float</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f32</span>(<span class="number">0.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1i64</span>, <span class="number">2</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f64</span>(<span class="number">0.5f64</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1i32</span>, <span class="number">2</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f32</span>(<span class="number">5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">5i64</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f64</span>(<span class="number">5f64</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">5i32</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f32</span>(<span class="number">29.97f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">2997i64</span>, <span class="number">100</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">29.97f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">2997i64</span>, <span class="number">100</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">63.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">127i8</span>, <span class="number">2</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">126.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">126i8</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">127.0f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">127i8</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">127.5f32</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">63.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">127i8</span>, <span class="number">2</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">126.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">126i8</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">127.0f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">127i8</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">127.5f32</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">u8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="op">-</span><span class="number">127f32</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">u8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">127f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">127u8</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">u8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">127.5f32</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">255u8</span>, <span class="number">2</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">u8</span><span class="op">></span>::<span class="ident">from_f32</span>(<span class="number">256f32</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="op">-</span><span class="number">10e200</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="number">10e200</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="ident">f64</span>::<span class="ident">INFINITY</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="ident">f64</span>::<span class="ident">NEG_INFINITY</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="ident">f64</span>::<span class="ident">NAN</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="ident">f64</span>::<span class="ident">EPSILON</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">4503599627370496</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="number">0.0</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">0</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="op"><</span><span class="ident">i64</span><span class="op">></span>::<span class="ident">from_f64</span>(<span class="op">-</span><span class="number">0.0</span>), <span class="prelude-val">Some</span>(<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">0</span>, <span class="number">1</span>)));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_cmp</span>() {
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">=</span><span class="op">=</span> <span class="ident">_0</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">_1</span> <span class="op">=</span><span class="op">=</span> <span class="ident">_1</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">!</span><span class="op">=</span> <span class="ident">_1</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">_1</span> <span class="op">!</span><span class="op">=</span> <span class="ident">_0</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op"><</span> <span class="ident">_1</span> <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span>(<span class="ident">_1</span> <span class="op"><</span> <span class="ident">_0</span>));
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_1</span> <span class="op">></span> <span class="ident">_0</span> <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span>(<span class="ident">_0</span> <span class="op">></span> <span class="ident">_1</span>));
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op"><</span><span class="op">=</span> <span class="ident">_0</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">_1</span> <span class="op"><</span><span class="op">=</span> <span class="ident">_1</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op"><</span><span class="op">=</span> <span class="ident">_1</span> <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span>(<span class="ident">_1</span> <span class="op"><</span><span class="op">=</span> <span class="ident">_0</span>));
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">></span><span class="op">=</span> <span class="ident">_0</span> <span class="kw-2">&</span><span class="op">&</span> <span class="ident">_1</span> <span class="op">></span><span class="op">=</span> <span class="ident">_1</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_1</span> <span class="op">></span><span class="op">=</span> <span class="ident">_0</span> <span class="kw-2">&</span><span class="op">&</span> <span class="op">!</span>(<span class="ident">_0</span> <span class="op">></span><span class="op">=</span> <span class="ident">_1</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_cmp_overflow</span>() {
<span class="kw">use</span> <span class="ident">std</span>::<span class="ident">cmp</span>::<span class="ident">Ordering</span>;
<span class="comment">// issue #7 example:</span>
<span class="kw">let</span> <span class="ident">big</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">128u8</span>, <span class="number">1</span>);
<span class="kw">let</span> <span class="ident">small</span> <span class="op">=</span> <span class="ident">big</span>.<span class="ident">recip</span>();
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">big</span> <span class="op">></span> <span class="ident">small</span>);
<span class="comment">// try a few that are closer together</span>
<span class="comment">// (some matching numer, some matching denom, some neither)</span>
<span class="kw">let</span> <span class="ident">ratios</span> <span class="op">=</span> <span class="macro">vec</span><span class="macro">!</span>[
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">125_i8</span>, <span class="number">127_i8</span>),
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">63_i8</span>, <span class="number">64_i8</span>),
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">124_i8</span>, <span class="number">125_i8</span>),
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">125_i8</span>, <span class="number">126_i8</span>),
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">126_i8</span>, <span class="number">127_i8</span>),
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">127_i8</span>, <span class="number">126_i8</span>),
];
<span class="kw">fn</span> <span class="ident">check_cmp</span>(<span class="ident">a</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">i8</span><span class="op">></span>, <span class="ident">b</span>: <span class="ident">Ratio</span><span class="op"><</span><span class="ident">i8</span><span class="op">></span>, <span class="ident">ord</span>: <span class="ident">Ordering</span>) {
<span class="macro">println</span><span class="macro">!</span>(<span class="string">"comparing {} and {}"</span>, <span class="ident">a</span>, <span class="ident">b</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">b</span>), <span class="ident">ord</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">b</span>.<span class="ident">cmp</span>(<span class="kw-2">&</span><span class="ident">a</span>), <span class="ident">ord</span>.<span class="ident">reverse</span>());
}
<span class="kw">for</span> (<span class="ident">i</span>, <span class="kw-2">&</span><span class="ident">a</span>) <span class="kw">in</span> <span class="ident">ratios</span>.<span class="ident">iter</span>().<span class="ident">enumerate</span>() {
<span class="ident">check_cmp</span>(<span class="ident">a</span>, <span class="ident">a</span>, <span class="ident">Ordering</span>::<span class="ident">Equal</span>);
<span class="ident">check_cmp</span>(<span class="op">-</span><span class="ident">a</span>, <span class="ident">a</span>, <span class="ident">Ordering</span>::<span class="ident">Less</span>);
<span class="kw">for</span> <span class="kw-2">&</span><span class="ident">b</span> <span class="kw">in</span> <span class="kw-2">&</span><span class="ident">ratios</span>[<span class="ident">i</span> <span class="op">+</span> <span class="number">1</span>..] {
<span class="ident">check_cmp</span>(<span class="ident">a</span>, <span class="ident">b</span>, <span class="ident">Ordering</span>::<span class="ident">Less</span>);
<span class="ident">check_cmp</span>(<span class="op">-</span><span class="ident">a</span>, <span class="op">-</span><span class="ident">b</span>, <span class="ident">Ordering</span>::<span class="ident">Greater</span>);
<span class="ident">check_cmp</span>(<span class="ident">a</span>.<span class="ident">recip</span>(), <span class="ident">b</span>.<span class="ident">recip</span>(), <span class="ident">Ordering</span>::<span class="ident">Greater</span>);
<span class="ident">check_cmp</span>(<span class="op">-</span><span class="ident">a</span>.<span class="ident">recip</span>(), <span class="op">-</span><span class="ident">b</span>.<span class="ident">recip</span>(), <span class="ident">Ordering</span>::<span class="ident">Less</span>);
}
}
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_to_integer</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span>.<span class="ident">to_integer</span>(), <span class="number">0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">to_integer</span>(), <span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span>.<span class="ident">to_integer</span>(), <span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">to_integer</span>(), <span class="number">0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">to_integer</span>(), <span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">to_integer</span>(), <span class="number">0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_numer</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span><span class="number">0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span><span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span><span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span><span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span><span class="number">3</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">numer</span>(), <span class="kw-2">&</span>(<span class="op">-</span><span class="number">1</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_denom</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_is_integer</span>() {
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_0</span>.<span class="ident">is_integer</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">is_integer</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_2</span>.<span class="ident">is_integer</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_1_2</span>.<span class="ident">is_integer</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_3_2</span>.<span class="ident">is_integer</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_NEG1_2</span>.<span class="ident">is_integer</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_show</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="macro">format</span><span class="macro">!</span>(<span class="string">"{}"</span>, <span class="ident">_2</span>), <span class="string">"2"</span>.<span class="ident">to_string</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="macro">format</span><span class="macro">!</span>(<span class="string">"{}"</span>, <span class="ident">_1_2</span>), <span class="string">"1/2"</span>.<span class="ident">to_string</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="macro">format</span><span class="macro">!</span>(<span class="string">"{}"</span>, <span class="ident">_0</span>), <span class="string">"0"</span>.<span class="ident">to_string</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="macro">format</span><span class="macro">!</span>(<span class="string">"{}"</span>, <span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="op">-</span><span class="number">2</span>)), <span class="string">"-2"</span>.<span class="ident">to_string</span>());
}
<span class="kw">mod</span> <span class="ident">arith</span> {
<span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">_0</span>, <span class="ident">_1</span>, <span class="ident">_2</span>, <span class="ident">_1_2</span>, <span class="ident">_3_2</span>, <span class="ident">_NEG1_2</span>, <span class="ident">to_big</span>};
<span class="kw">use</span> <span class="kw">super</span>::<span class="kw">super</span>::{<span class="ident">Ratio</span>, <span class="ident">Rational</span>};
<span class="kw">use</span> <span class="ident">traits</span>::{<span class="ident">CheckedAdd</span>, <span class="ident">CheckedSub</span>, <span class="ident">CheckedMul</span>, <span class="ident">CheckedDiv</span>};
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_add</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">+</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">+</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>) <span class="op">+</span> <span class="ident">to_big</span>(<span class="ident">b</span>), <span class="ident">to_big</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>.<span class="ident">checked_add</span>(<span class="kw-2">&</span><span class="ident">b</span>), <span class="prelude-val">Some</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>).<span class="ident">checked_add</span>(<span class="kw-2">&</span><span class="ident">to_big</span>(<span class="ident">b</span>)), <span class="prelude-val">Some</span>(<span class="ident">to_big</span>(<span class="ident">c</span>)));
}
<span class="kw">fn</span> <span class="ident">test_assign</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">isize</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">+</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">+</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
}
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_1_2</span>, <span class="ident">_3_2</span>);
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_1</span>, <span class="ident">_2</span>);
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_3_2</span>, <span class="ident">_2</span>);
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_NEG1_2</span>, <span class="ident">_0</span>);
<span class="ident">test_assign</span>(<span class="ident">_1_2</span>, <span class="number">1</span>, <span class="ident">_3_2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_sub</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">-</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">-</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>) <span class="op">-</span> <span class="ident">to_big</span>(<span class="ident">b</span>), <span class="ident">to_big</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>.<span class="ident">checked_sub</span>(<span class="kw-2">&</span><span class="ident">b</span>), <span class="prelude-val">Some</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>).<span class="ident">checked_sub</span>(<span class="kw-2">&</span><span class="ident">to_big</span>(<span class="ident">b</span>)), <span class="prelude-val">Some</span>(<span class="ident">to_big</span>(<span class="ident">c</span>)));
}
<span class="kw">fn</span> <span class="ident">test_assign</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">isize</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">-</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">-</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
}
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_1_2</span>, <span class="ident">_1_2</span>);
<span class="ident">test</span>(<span class="ident">_3_2</span>, <span class="ident">_1_2</span>, <span class="ident">_1</span>);
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_NEG1_2</span>, <span class="ident">_3_2</span>);
<span class="ident">test_assign</span>(<span class="ident">_1_2</span>, <span class="number">1</span>, <span class="ident">_NEG1_2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_mul</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">*</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>) <span class="op">*</span> <span class="ident">to_big</span>(<span class="ident">b</span>), <span class="ident">to_big</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">b</span>), <span class="prelude-val">Some</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>).<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">to_big</span>(<span class="ident">b</span>)), <span class="prelude-val">Some</span>(<span class="ident">to_big</span>(<span class="ident">c</span>)));
}
<span class="kw">fn</span> <span class="ident">test_assign</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">isize</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">*</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="kw-2">*</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
}
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_1_2</span>, <span class="ident">_1_2</span>);
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_3_2</span>, <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">3</span>, <span class="number">4</span>));
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_NEG1_2</span>, <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="op">-</span><span class="number">1</span>, <span class="number">4</span>));
<span class="ident">test_assign</span>(<span class="ident">_1_2</span>, <span class="number">2</span>, <span class="ident">_1</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_div</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">/</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">/</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>) <span class="op">/</span> <span class="ident">to_big</span>(<span class="ident">b</span>), <span class="ident">to_big</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>.<span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="ident">b</span>), <span class="prelude-val">Some</span>(<span class="ident">c</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>).<span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="ident">to_big</span>(<span class="ident">b</span>)), <span class="prelude-val">Some</span>(<span class="ident">to_big</span>(<span class="ident">c</span>)));
}
<span class="kw">fn</span> <span class="ident">test_assign</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">isize</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">/</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">/</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
}
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_1_2</span>, <span class="ident">_2</span>);
<span class="ident">test</span>(<span class="ident">_3_2</span>, <span class="ident">_1_2</span>, <span class="ident">_1</span> <span class="op">+</span> <span class="ident">_2</span>);
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="ident">_NEG1_2</span>, <span class="ident">_NEG1_2</span> <span class="op">+</span> <span class="ident">_NEG1_2</span> <span class="op">+</span> <span class="ident">_NEG1_2</span> <span class="op">+</span> <span class="ident">_NEG1_2</span>);
<span class="ident">test_assign</span>(<span class="ident">_1</span>, <span class="number">2</span>, <span class="ident">_1_2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_rem</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">%</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">%</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">to_big</span>(<span class="ident">a</span>) <span class="op">%</span> <span class="ident">to_big</span>(<span class="ident">b</span>), <span class="ident">to_big</span>(<span class="ident">c</span>))
}
<span class="kw">fn</span> <span class="ident">test_assign</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">isize</span>, <span class="ident">c</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span> <span class="op">%</span> <span class="ident">b</span>, <span class="ident">c</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>({ <span class="kw">let</span> <span class="kw-2">mut</span> <span class="ident">x</span> <span class="op">=</span> <span class="ident">a</span>; <span class="ident">x</span> <span class="op">%</span><span class="op">=</span> <span class="ident">b</span>; <span class="ident">x</span>}, <span class="ident">c</span>);
}
<span class="ident">test</span>(<span class="ident">_3_2</span>, <span class="ident">_1</span>, <span class="ident">_1_2</span>);
<span class="ident">test</span>(<span class="ident">_2</span>, <span class="ident">_NEG1_2</span>, <span class="ident">_0</span>);
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_2</span>, <span class="ident">_1_2</span>);
<span class="ident">test_assign</span>(<span class="ident">_3_2</span>, <span class="number">1</span>, <span class="ident">_1_2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_neg</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">a</span>: <span class="ident">Rational</span>, <span class="ident">b</span>: <span class="ident">Rational</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="op">-</span><span class="ident">a</span>, <span class="ident">b</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="op">-</span><span class="ident">to_big</span>(<span class="ident">a</span>), <span class="ident">to_big</span>(<span class="ident">b</span>))
}
<span class="ident">test</span>(<span class="ident">_0</span>, <span class="ident">_0</span>);
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="ident">_NEG1_2</span>);
<span class="ident">test</span>(<span class="op">-</span><span class="ident">_1</span>, <span class="ident">_1</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_zero</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">+</span> <span class="ident">_0</span>, <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">*</span> <span class="ident">_0</span>, <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">*</span> <span class="ident">_1</span>, <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">/</span> <span class="ident">_NEG1_2</span>, <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span> <span class="op">-</span> <span class="ident">_0</span>, <span class="ident">_0</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>]</span>
<span class="kw">fn</span> <span class="ident">test_div_0</span>() {
<span class="kw">let</span> <span class="ident">_a</span> <span class="op">=</span> <span class="ident">_1</span> <span class="op">/</span> <span class="ident">_0</span>;
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_checked_failures</span>() {
<span class="kw">let</span> <span class="ident">big</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">128u8</span>, <span class="number">1</span>);
<span class="kw">let</span> <span class="ident">small</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">128u8</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">big</span>.<span class="ident">checked_add</span>(<span class="kw-2">&</span><span class="ident">big</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">small</span>.<span class="ident">checked_sub</span>(<span class="kw-2">&</span><span class="ident">big</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">big</span>.<span class="ident">checked_mul</span>(<span class="kw-2">&</span><span class="ident">big</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">small</span>.<span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="ident">big</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">checked_div</span>(<span class="kw-2">&</span><span class="ident">_0</span>), <span class="prelude-val">None</span>);
}
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_round</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_3</span>.<span class="ident">ceil</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_3</span>.<span class="ident">floor</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_3</span>.<span class="ident">round</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_3</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_3</span>.<span class="ident">ceil</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_3</span>.<span class="ident">floor</span>(), <span class="op">-</span><span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_3</span>.<span class="ident">round</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_3</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2_3</span>.<span class="ident">ceil</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2_3</span>.<span class="ident">floor</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2_3</span>.<span class="ident">round</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2_3</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG2_3</span>.<span class="ident">ceil</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG2_3</span>.<span class="ident">floor</span>(), <span class="op">-</span><span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG2_3</span>.<span class="ident">round</span>(), <span class="op">-</span><span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG2_3</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">ceil</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">floor</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">round</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">ceil</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">floor</span>(), <span class="op">-</span><span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">round</span>(), <span class="op">-</span><span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">trunc</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">ceil</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">floor</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">round</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">trunc</span>(), <span class="ident">_1</span>);
<span class="comment">// Overflow checks</span>
<span class="kw">let</span> <span class="ident">_neg1</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">from_integer</span>(<span class="op">-</span><span class="number">1</span>);
<span class="kw">let</span> <span class="ident">_large_rat1</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MAX</span>, <span class="ident">i32</span>::<span class="ident">MAX</span> <span class="op">-</span> <span class="number">1</span>);
<span class="kw">let</span> <span class="ident">_large_rat2</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MAX</span> <span class="op">-</span> <span class="number">1</span>, <span class="ident">i32</span>::<span class="ident">MAX</span>);
<span class="kw">let</span> <span class="ident">_large_rat3</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">2</span>, <span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">1</span>);
<span class="kw">let</span> <span class="ident">_large_rat4</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">1</span>, <span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">2</span>);
<span class="kw">let</span> <span class="ident">_large_rat5</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">2</span>, <span class="ident">i32</span>::<span class="ident">MAX</span>);
<span class="kw">let</span> <span class="ident">_large_rat6</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">i32</span>::<span class="ident">MAX</span>, <span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">2</span>);
<span class="kw">let</span> <span class="ident">_large_rat7</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="ident">i32</span>::<span class="ident">MIN</span> <span class="op">+</span> <span class="number">1</span>);
<span class="kw">let</span> <span class="ident">_large_rat8</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="ident">i32</span>::<span class="ident">MAX</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat1</span>.<span class="ident">round</span>(), <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat2</span>.<span class="ident">round</span>(), <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat3</span>.<span class="ident">round</span>(), <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat4</span>.<span class="ident">round</span>(), <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat5</span>.<span class="ident">round</span>(), <span class="ident">_neg1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat6</span>.<span class="ident">round</span>(), <span class="ident">_neg1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat7</span>.<span class="ident">round</span>(), <span class="ident">Zero</span>::<span class="ident">zero</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_large_rat8</span>.<span class="ident">round</span>(), <span class="ident">Zero</span>::<span class="ident">zero</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_fract</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">fract</span>(), <span class="ident">_0</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">fract</span>(), <span class="ident">_NEG1_2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">fract</span>(), <span class="ident">_1_2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">fract</span>(), <span class="ident">_1_2</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_recip</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span> <span class="op">*</span> <span class="ident">_1</span>.<span class="ident">recip</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_2</span> <span class="op">*</span> <span class="ident">_2</span>.<span class="ident">recip</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span> <span class="op">*</span> <span class="ident">_1_2</span>.<span class="ident">recip</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span> <span class="op">*</span> <span class="ident">_3_2</span>.<span class="ident">recip</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span> <span class="op">*</span> <span class="ident">_NEG1_2</span>.<span class="ident">recip</span>(), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">recip</span>(), <span class="ident">_2_3</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">recip</span>(), <span class="ident">_NEG2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">recip</span>().<span class="ident">denom</span>(), <span class="kw-2">&</span><span class="number">1</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="attribute">#[<span class="ident">should_panic</span>(<span class="ident">expected</span> <span class="op">=</span> <span class="string">"== 0"</span>)]</span>
<span class="kw">fn</span> <span class="ident">test_recip_fail</span>() {
<span class="kw">let</span> <span class="ident">_a</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">0</span>, <span class="number">1</span>).<span class="ident">recip</span>();
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_pow</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">pow</span>(<span class="number">2</span>), <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">1</span>, <span class="number">4</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">pow</span>(<span class="op">-</span><span class="number">2</span>), <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">4</span>, <span class="number">1</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1</span>.<span class="ident">pow</span>(<span class="number">1</span>), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">pow</span>(<span class="number">2</span>), <span class="ident">_1_2</span>.<span class="ident">pow</span>(<span class="number">2</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">pow</span>(<span class="number">3</span>), <span class="op">-</span><span class="ident">_1_2</span>.<span class="ident">pow</span>(<span class="number">3</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">pow</span>(<span class="number">0</span>), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">pow</span>(<span class="op">-</span><span class="number">1</span>), <span class="ident">_3_2</span>.<span class="ident">recip</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">pow</span>(<span class="number">3</span>), <span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="number">27</span>, <span class="number">8</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_to_from_str</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">r</span>: <span class="ident">Rational</span>, <span class="ident">s</span>: <span class="ident">String</span>) {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="kw-2">&</span><span class="ident">s</span>), <span class="prelude-val">Ok</span>(<span class="ident">r</span>));
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">r</span>.<span class="ident">to_string</span>(), <span class="ident">s</span>);
}
<span class="ident">test</span>(<span class="ident">_1</span>, <span class="string">"1"</span>.<span class="ident">to_string</span>());
<span class="ident">test</span>(<span class="ident">_0</span>, <span class="string">"0"</span>.<span class="ident">to_string</span>());
<span class="ident">test</span>(<span class="ident">_1_2</span>, <span class="string">"1/2"</span>.<span class="ident">to_string</span>());
<span class="ident">test</span>(<span class="ident">_3_2</span>, <span class="string">"3/2"</span>.<span class="ident">to_string</span>());
<span class="ident">test</span>(<span class="ident">_2</span>, <span class="string">"2"</span>.<span class="ident">to_string</span>());
<span class="ident">test</span>(<span class="ident">_NEG1_2</span>, <span class="string">"-1/2"</span>.<span class="ident">to_string</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_from_str_fail</span>() {
<span class="kw">fn</span> <span class="ident">test</span>(<span class="ident">s</span>: <span class="kw-2">&</span><span class="ident">str</span>) {
<span class="kw">let</span> <span class="ident">rational</span>: <span class="prelude-ty">Result</span><span class="op"><</span><span class="ident">Rational</span>, <span class="kw">_</span><span class="op">></span> <span class="op">=</span> <span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="ident">s</span>);
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">rational</span>.<span class="ident">is_err</span>());
}
<span class="kw">let</span> <span class="ident">xs</span> <span class="op">=</span> [<span class="string">"0 /1"</span>, <span class="string">"abc"</span>, <span class="string">""</span>, <span class="string">"1/"</span>, <span class="string">"--1/2"</span>, <span class="string">"3/2/1"</span>, <span class="string">"1/0"</span>];
<span class="kw">for</span> <span class="kw-2">&</span><span class="ident">s</span> <span class="kw">in</span> <span class="ident">xs</span>.<span class="ident">iter</span>() {
<span class="ident">test</span>(<span class="ident">s</span>);
}
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_from_float</span>() {
<span class="kw">use</span> <span class="ident">traits</span>::<span class="ident">Float</span>;
<span class="kw">fn</span> <span class="ident">test</span><span class="op"><</span><span class="ident">T</span>: <span class="ident">Float</span><span class="op">></span>(<span class="ident">given</span>: <span class="ident">T</span>, (<span class="ident">numer</span>, <span class="ident">denom</span>): (<span class="kw-2">&</span><span class="ident">str</span>, <span class="kw-2">&</span><span class="ident">str</span>)) {
<span class="kw">let</span> <span class="ident">ratio</span>: <span class="ident">BigRational</span> <span class="op">=</span> <span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">given</span>).<span class="ident">unwrap</span>();
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">ratio</span>,
<span class="ident">Ratio</span>::<span class="ident">new</span>(<span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="ident">numer</span>).<span class="ident">unwrap</span>(),
<span class="ident">FromStr</span>::<span class="ident">from_str</span>(<span class="ident">denom</span>).<span class="ident">unwrap</span>()));
}
<span class="comment">// f32</span>
<span class="ident">test</span>(<span class="number">3.14159265359f32</span>, (<span class="string">"13176795"</span>, <span class="string">"4194304"</span>));
<span class="ident">test</span>(<span class="number">2f32</span>.<span class="ident">powf</span>(<span class="number">100.</span>), (<span class="string">"1267650600228229401496703205376"</span>, <span class="string">"1"</span>));
<span class="ident">test</span>(<span class="op">-</span><span class="number">2f32</span>.<span class="ident">powf</span>(<span class="number">100.</span>), (<span class="string">"-1267650600228229401496703205376"</span>, <span class="string">"1"</span>));
<span class="ident">test</span>(<span class="number">1.0</span> <span class="op">/</span> <span class="number">2f32</span>.<span class="ident">powf</span>(<span class="number">100.</span>),
(<span class="string">"1"</span>, <span class="string">"1267650600228229401496703205376"</span>));
<span class="ident">test</span>(<span class="number">684729.48391f32</span>, (<span class="string">"1369459"</span>, <span class="string">"2"</span>));
<span class="ident">test</span>(<span class="op">-</span><span class="number">8573.5918555f32</span>, (<span class="string">"-4389679"</span>, <span class="string">"512"</span>));
<span class="comment">// f64</span>
<span class="ident">test</span>(<span class="number">3.14159265359f64</span>, (<span class="string">"3537118876014453"</span>, <span class="string">"1125899906842624"</span>));
<span class="ident">test</span>(<span class="number">2f64</span>.<span class="ident">powf</span>(<span class="number">100.</span>), (<span class="string">"1267650600228229401496703205376"</span>, <span class="string">"1"</span>));
<span class="ident">test</span>(<span class="op">-</span><span class="number">2f64</span>.<span class="ident">powf</span>(<span class="number">100.</span>), (<span class="string">"-1267650600228229401496703205376"</span>, <span class="string">"1"</span>));
<span class="ident">test</span>(<span class="number">684729.48391f64</span>, (<span class="string">"367611342500051"</span>, <span class="string">"536870912"</span>));
<span class="ident">test</span>(<span class="op">-</span><span class="number">8573.5918555f64</span>, (<span class="string">"-4713381968463931"</span>, <span class="string">"549755813888"</span>));
<span class="ident">test</span>(<span class="number">1.0</span> <span class="op">/</span> <span class="number">2f64</span>.<span class="ident">powf</span>(<span class="number">100.</span>),
(<span class="string">"1"</span>, <span class="string">"1267650600228229401496703205376"</span>));
}
<span class="attribute">#[<span class="ident">cfg</span>(<span class="ident">feature</span> <span class="op">=</span> <span class="string">"num-bigint"</span>)]</span>
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_from_float_fail</span>() {
<span class="kw">use</span> <span class="ident">std</span>::{<span class="ident">f32</span>, <span class="ident">f64</span>};
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f32</span>::<span class="ident">NAN</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f32</span>::<span class="ident">INFINITY</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f32</span>::<span class="ident">NEG_INFINITY</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f64</span>::<span class="ident">NAN</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f64</span>::<span class="ident">INFINITY</span>), <span class="prelude-val">None</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">Ratio</span>::<span class="ident">from_float</span>(<span class="ident">f64</span>::<span class="ident">NEG_INFINITY</span>), <span class="prelude-val">None</span>);
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_signed</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">abs</span>(), <span class="ident">_1_2</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_3_2</span>.<span class="ident">abs_sub</span>(<span class="kw-2">&</span><span class="ident">_1_2</span>), <span class="ident">_1</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">abs_sub</span>(<span class="kw-2">&</span><span class="ident">_3_2</span>), <span class="ident">Zero</span>::<span class="ident">zero</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">signum</span>(), <span class="ident">One</span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">signum</span>(), <span class="op">-</span><span class="op"><</span><span class="ident">Ratio</span><span class="op"><</span><span class="ident">isize</span><span class="op">></span><span class="op">></span>::<span class="ident">one</span>());
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">_0</span>.<span class="ident">signum</span>(), <span class="ident">Zero</span>::<span class="ident">zero</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_NEG1_2</span>.<span class="ident">is_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_1_NEG2</span>.<span class="ident">is_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_NEG1_2</span>.<span class="ident">is_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_1_NEG2</span>.<span class="ident">is_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_1_2</span>.<span class="ident">is_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="ident">_NEG1_NEG2</span>.<span class="ident">is_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_1_2</span>.<span class="ident">is_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_NEG1_NEG2</span>.<span class="ident">is_negative</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_0</span>.<span class="ident">is_positive</span>());
<span class="macro">assert</span><span class="macro">!</span>(<span class="op">!</span><span class="ident">_0</span>.<span class="ident">is_negative</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_hash</span>() {
<span class="macro">assert</span><span class="macro">!</span>(::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">_0</span>) <span class="op">!</span><span class="op">=</span> ::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">_1</span>));
<span class="macro">assert</span><span class="macro">!</span>(::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">_0</span>) <span class="op">!</span><span class="op">=</span> ::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">_3_2</span>));
<span class="comment">// a == b -> hash(a) == hash(b)</span>
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Rational</span>::<span class="ident">new_raw</span>(<span class="number">4</span>, <span class="number">2</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Rational</span>::<span class="ident">new_raw</span>(<span class="number">6</span>, <span class="number">3</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>, <span class="ident">b</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">a</span>), ::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">b</span>));
<span class="kw">let</span> <span class="ident">a</span> <span class="op">=</span> <span class="ident">Rational</span>::<span class="ident">new_raw</span>(<span class="number">123456789</span>, <span class="number">1000</span>);
<span class="kw">let</span> <span class="ident">b</span> <span class="op">=</span> <span class="ident">Rational</span>::<span class="ident">new_raw</span>(<span class="number">123456789</span> <span class="op">*</span> <span class="number">5</span>, <span class="number">5000</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(<span class="ident">a</span>, <span class="ident">b</span>);
<span class="macro">assert_eq</span><span class="macro">!</span>(::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">a</span>), ::<span class="ident">hash</span>(<span class="kw-2">&</span><span class="ident">b</span>));
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_into_pair</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span> ((<span class="number">0</span>, <span class="number">1</span>), <span class="ident">_0</span>.<span class="ident">into</span>());
<span class="macro">assert_eq</span><span class="macro">!</span> ((<span class="op">-</span><span class="number">2</span>, <span class="number">1</span>), <span class="ident">_NEG2</span>.<span class="ident">into</span>());
<span class="macro">assert_eq</span><span class="macro">!</span> ((<span class="number">1</span>, <span class="op">-</span><span class="number">2</span>), <span class="ident">_1_NEG2</span>.<span class="ident">into</span>());
}
<span class="attribute">#[<span class="ident">test</span>]</span>
<span class="kw">fn</span> <span class="ident">test_from_pair</span>() {
<span class="macro">assert_eq</span><span class="macro">!</span> (<span class="ident">_0</span>, <span class="ident">Ratio</span>::<span class="ident">from</span> ((<span class="number">0</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span> (<span class="ident">_1</span>, <span class="ident">Ratio</span>::<span class="ident">from</span> ((<span class="number">1</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span> (<span class="ident">_NEG2</span>, <span class="ident">Ratio</span>::<span class="ident">from</span> ((<span class="op">-</span><span class="number">2</span>, <span class="number">1</span>)));
<span class="macro">assert_eq</span><span class="macro">!</span> (<span class="ident">_1_NEG2</span>, <span class="ident">Ratio</span>::<span class="ident">from</span> ((<span class="number">1</span>, <span class="op">-</span><span class="number">2</span>)));
}
}
</pre></div>
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