| <!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/root/.cargo/registry/src/github.com-1ecc6299db9ec823/num-rational-0.3.2/src/lib.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>lib.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" href="../../normalize.css"><link rel="stylesheet" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" href="../../ayu.css" disabled><link rel="stylesheet" href="../../dark.css" disabled><link rel="stylesheet" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="../../source-script.js"></script><script defer src="../../source-files.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.svg"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><a class="sidebar-logo" href="../../num_rational/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div></a></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../num_rational/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><span id="1">1</span> |
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| <span id="2979">2979</span> |
| </pre><pre class="rust"><code><span class="comment">// Copyright 2013-2014 The Rust Project Developers. See the COPYRIGHT |
| // file at the top-level directory of this distribution and at |
| // http://rust-lang.org/COPYRIGHT. |
| // |
| // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
| // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
| // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your |
| // option. This file may not be copied, modified, or distributed |
| // except according to those terms. |
| |
| </span><span class="doccomment">//! Rational numbers |
| //! |
| //! ## Compatibility |
| //! |
| //! The `num-rational` crate is tested for rustc 1.31 and greater. |
| |
| </span><span class="attribute">#![doc(html_root_url = <span class="string">"https://docs.rs/num-rational/0.3"</span>)] |
| #![no_std] |
| </span><span class="comment">// Ratio ops often use other "suspicious" ops |
| </span><span class="attribute">#![allow(clippy::suspicious_arithmetic_impl)] |
| #![allow(clippy::suspicious_op_assign_impl)] |
| |
| #[cfg(feature = <span class="string">"std"</span>)] |
| #[macro_use] |
| </span><span class="kw">extern crate </span>std; |
| |
| <span class="kw">use </span>core::cmp; |
| <span class="kw">use </span>core::fmt; |
| <span class="kw">use </span>core::fmt::{Binary, Display, Formatter, LowerExp, LowerHex, Octal, UpperExp, UpperHex}; |
| <span class="kw">use </span>core::hash::{Hash, Hasher}; |
| <span class="kw">use </span>core::ops::{Add, Div, Mul, Neg, Rem, ShlAssign, Sub}; |
| <span class="kw">use </span>core::str::FromStr; |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">use </span>std::error::Error; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">use </span>num_bigint::{BigInt, BigUint, Sign, ToBigInt}; |
| |
| <span class="kw">use </span>num_integer::Integer; |
| <span class="kw">use </span>num_traits::float::FloatCore; |
| <span class="kw">use </span>num_traits::ToPrimitive; |
| <span class="kw">use </span>num_traits::{ |
| Bounded, CheckedAdd, CheckedDiv, CheckedMul, CheckedSub, FromPrimitive, Inv, Num, NumCast, One, |
| Pow, Signed, Zero, |
| }; |
| |
| <span class="kw">mod </span>pow; |
| |
| <span class="doccomment">/// Represents the ratio between two numbers. |
| </span><span class="attribute">#[derive(Copy, Clone, Debug)] |
| #[allow(missing_docs)] |
| </span><span class="kw">pub struct </span>Ratio<T> { |
| <span class="doccomment">/// Numerator. |
| </span>numer: T, |
| <span class="doccomment">/// Denominator. |
| </span>denom: T, |
| } |
| |
| <span class="doccomment">/// Alias for a `Ratio` of machine-sized integers. |
| </span><span class="kw">pub type </span>Rational = Ratio<isize>; |
| <span class="doccomment">/// Alias for a `Ratio` of 32-bit-sized integers. |
| </span><span class="kw">pub type </span>Rational32 = Ratio<i32>; |
| <span class="doccomment">/// Alias for a `Ratio` of 64-bit-sized integers. |
| </span><span class="kw">pub type </span>Rational64 = Ratio<i64>; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="doccomment">/// Alias for arbitrary precision rationals. |
| </span><span class="kw">pub type </span>BigRational = Ratio<BigInt>; |
| |
| <span class="doccomment">/// These method are `const` for Rust 1.31 and later. |
| </span><span class="kw">impl</span><T> Ratio<T> { |
| <span class="doccomment">/// Creates a `Ratio` without checking for `denom == 0` or reducing. |
| /// |
| /// **There are several methods that will panic if used on a `Ratio` with |
| /// `denom == 0`.** |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub const fn </span>new_raw(numer: T, denom: T) -> Ratio<T> { |
| Ratio { numer, denom } |
| } |
| |
| <span class="doccomment">/// Gets an immutable reference to the numerator. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub const fn </span>numer(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="kw-2">&</span>T { |
| <span class="kw-2">&</span><span class="self">self</span>.numer |
| } |
| |
| <span class="doccomment">/// Gets an immutable reference to the denominator. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub const fn </span>denom(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="kw-2">&</span>T { |
| <span class="kw-2">&</span><span class="self">self</span>.denom |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> Ratio<T> { |
| <span class="doccomment">/// Creates a new `Ratio`. |
| /// |
| /// **Panics if `denom` is zero.** |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>new(numer: T, denom: T) -> Ratio<T> { |
| <span class="kw">let </span><span class="kw-2">mut </span>ret = Ratio::new_raw(numer, denom); |
| ret.reduce(); |
| ret |
| } |
| |
| <span class="doccomment">/// Creates a `Ratio` representing the integer `t`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>from_integer(t: T) -> Ratio<T> { |
| Ratio::new_raw(t, One::one()) |
| } |
| |
| <span class="doccomment">/// Converts to an integer, rounding towards zero. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>to_integer(<span class="kw-2">&</span><span class="self">self</span>) -> T { |
| <span class="self">self</span>.trunc().numer |
| } |
| |
| <span class="doccomment">/// Returns true if the rational number is an integer (denominator is 1). |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>is_integer(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.denom.is_one() |
| } |
| |
| <span class="doccomment">/// Puts self into lowest terms, with `denom` > 0. |
| /// |
| /// **Panics if `denom` is zero.** |
| </span><span class="kw">fn </span>reduce(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="kw">if </span><span class="self">self</span>.denom.is_zero() { |
| <span class="macro">panic!</span>(<span class="string">"denominator == 0"</span>); |
| } |
| <span class="kw">if </span><span class="self">self</span>.numer.is_zero() { |
| <span class="self">self</span>.denom.set_one(); |
| <span class="kw">return</span>; |
| } |
| <span class="kw">if </span><span class="self">self</span>.numer == <span class="self">self</span>.denom { |
| <span class="self">self</span>.set_one(); |
| <span class="kw">return</span>; |
| } |
| <span class="kw">let </span>g: T = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span><span class="self">self</span>.denom); |
| |
| <span class="comment">// FIXME(#5992): assignment operator overloads |
| // self.numer /= g; |
| // T: Clone + Integer != T: Clone + NumAssign |
| </span><span class="self">self</span>.numer = <span class="self">self</span>.numer.clone() / g.clone(); |
| <span class="comment">// FIXME(#5992): assignment operator overloads |
| // self.denom /= g; |
| // T: Clone + Integer != T: Clone + NumAssign |
| </span><span class="self">self</span>.denom = <span class="self">self</span>.denom.clone() / g; |
| |
| <span class="comment">// keep denom positive! |
| </span><span class="kw">if </span><span class="self">self</span>.denom < T::zero() { |
| <span class="self">self</span>.numer = T::zero() - <span class="self">self</span>.numer.clone(); |
| <span class="self">self</span>.denom = T::zero() - <span class="self">self</span>.denom.clone(); |
| } |
| } |
| |
| <span class="doccomment">/// Returns a reduced copy of self. |
| /// |
| /// In general, it is not necessary to use this method, as the only |
| /// method of procuring a non-reduced fraction is through `new_raw`. |
| /// |
| /// **Panics if `denom` is zero.** |
| </span><span class="kw">pub fn </span>reduced(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">let </span><span class="kw-2">mut </span>ret = <span class="self">self</span>.clone(); |
| ret.reduce(); |
| ret |
| } |
| |
| <span class="doccomment">/// Returns the reciprocal. |
| /// |
| /// **Panics if the `Ratio` is zero.** |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>recip(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="self">self</span>.clone().into_recip() |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>into_recip(<span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">match </span><span class="self">self</span>.numer.cmp(<span class="kw-2">&</span>T::zero()) { |
| cmp::Ordering::Equal => <span class="macro">panic!</span>(<span class="string">"division by zero"</span>), |
| cmp::Ordering::Greater => Ratio::new_raw(<span class="self">self</span>.denom, <span class="self">self</span>.numer), |
| cmp::Ordering::Less => Ratio::new_raw(T::zero() - <span class="self">self</span>.denom, T::zero() - <span class="self">self</span>.numer), |
| } |
| } |
| |
| <span class="doccomment">/// Rounds towards minus infinity. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>floor(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>< Zero::zero() { |
| <span class="kw">let </span>one: T = One::one(); |
| Ratio::from_integer( |
| (<span class="self">self</span>.numer.clone() - <span class="self">self</span>.denom.clone() + one) / <span class="self">self</span>.denom.clone(), |
| ) |
| } <span class="kw">else </span>{ |
| Ratio::from_integer(<span class="self">self</span>.numer.clone() / <span class="self">self</span>.denom.clone()) |
| } |
| } |
| |
| <span class="doccomment">/// Rounds towards plus infinity. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>ceil(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>< Zero::zero() { |
| Ratio::from_integer(<span class="self">self</span>.numer.clone() / <span class="self">self</span>.denom.clone()) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>one: T = One::one(); |
| Ratio::from_integer( |
| (<span class="self">self</span>.numer.clone() + <span class="self">self</span>.denom.clone() - one) / <span class="self">self</span>.denom.clone(), |
| ) |
| } |
| } |
| |
| <span class="doccomment">/// Rounds to the nearest integer. Rounds half-way cases away from zero. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>round(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">let </span>zero: Ratio<T> = Zero::zero(); |
| <span class="kw">let </span>one: T = One::one(); |
| <span class="kw">let </span>two: T = one.clone() + one.clone(); |
| |
| <span class="comment">// Find unsigned fractional part of rational number |
| </span><span class="kw">let </span><span class="kw-2">mut </span>fractional = <span class="self">self</span>.fract(); |
| <span class="kw">if </span>fractional < zero { |
| fractional = zero - fractional |
| }; |
| |
| <span class="comment">// The algorithm compares the unsigned fractional part with 1/2, that |
| // is, a/b >= 1/2, or a >= b/2. For odd denominators, we use |
| // a >= (b/2)+1. This avoids overflow issues. |
| </span><span class="kw">let </span>half_or_larger = <span class="kw">if </span>fractional.denom.is_even() { |
| fractional.numer >= fractional.denom / two |
| } <span class="kw">else </span>{ |
| fractional.numer >= (fractional.denom / two) + one |
| }; |
| |
| <span class="kw">if </span>half_or_larger { |
| <span class="kw">let </span>one: Ratio<T> = One::one(); |
| <span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span>>= Zero::zero() { |
| <span class="self">self</span>.trunc() + one |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.trunc() - one |
| } |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.trunc() |
| } |
| } |
| |
| <span class="doccomment">/// Rounds towards zero. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>trunc(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| Ratio::from_integer(<span class="self">self</span>.numer.clone() / <span class="self">self</span>.denom.clone()) |
| } |
| |
| <span class="doccomment">/// Returns the fractional part of a number, with division rounded towards zero. |
| /// |
| /// Satisfies `self == self.trunc() + self.fract()`. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>fract(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| Ratio::new_raw(<span class="self">self</span>.numer.clone() % <span class="self">self</span>.denom.clone(), <span class="self">self</span>.denom.clone()) |
| } |
| |
| <span class="doccomment">/// Raises the `Ratio` to the power of an exponent. |
| </span><span class="attribute">#[inline] |
| </span><span class="kw">pub fn </span>pow(<span class="kw-2">&</span><span class="self">self</span>, expon: i32) -> Ratio<T> |
| <span class="kw">where |
| for</span><<span class="lifetime">'a</span>> <span class="kw-2">&</span><span class="lifetime">'a </span>T: Pow<u32, Output = T>, |
| { |
| Pow::pow(<span class="self">self</span>, expon) |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">impl </span>Ratio<BigInt> { |
| <span class="doccomment">/// Converts a float into a rational number. |
| </span><span class="kw">pub fn </span>from_float<T: FloatCore>(f: T) -> <span class="prelude-ty">Option</span><BigRational> { |
| <span class="kw">if </span>!f.is_finite() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| <span class="kw">let </span>(mantissa, exponent, sign) = f.integer_decode(); |
| <span class="kw">let </span>bigint_sign = <span class="kw">if </span>sign == <span class="number">1 </span>{ Sign::Plus } <span class="kw">else </span>{ Sign::Minus }; |
| <span class="kw">if </span>exponent < <span class="number">0 </span>{ |
| <span class="kw">let </span>one: BigInt = One::one(); |
| <span class="kw">let </span>denom: BigInt = one << ((-exponent) <span class="kw">as </span>usize); |
| <span class="kw">let </span>numer: BigUint = FromPrimitive::from_u64(mantissa).unwrap(); |
| <span class="prelude-val">Some</span>(Ratio::new(BigInt::from_biguint(bigint_sign, numer), denom)) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span><span class="kw-2">mut </span>numer: BigUint = FromPrimitive::from_u64(mantissa).unwrap(); |
| numer <<= exponent <span class="kw">as </span>usize; |
| <span class="prelude-val">Some</span>(Ratio::from_integer(BigInt::from_biguint( |
| bigint_sign, |
| numer, |
| ))) |
| } |
| } |
| } |
| |
| <span class="comment">// From integer |
| </span><span class="kw">impl</span><T> From<T> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">fn </span>from(x: T) -> Ratio<T> { |
| Ratio::from_integer(x) |
| } |
| } |
| |
| <span class="comment">// From pair (through the `new` constructor) |
| </span><span class="kw">impl</span><T> From<(T, T)> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">fn </span>from(pair: (T, T)) -> Ratio<T> { |
| Ratio::new(pair.<span class="number">0</span>, pair.<span class="number">1</span>) |
| } |
| } |
| |
| <span class="comment">// Comparisons |
| |
| // Mathematically, comparing a/b and c/d is the same as comparing a*d and b*c, but it's very easy |
| // for those multiplications to overflow fixed-size integers, so we need to take care. |
| |
| </span><span class="kw">impl</span><T: Clone + Integer> Ord <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>cmp(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> cmp::Ordering { |
| <span class="comment">// With equal denominators, the numerators can be directly compared |
| </span><span class="kw">if </span><span class="self">self</span>.denom == other.denom { |
| <span class="kw">let </span>ord = <span class="self">self</span>.numer.cmp(<span class="kw-2">&</span>other.numer); |
| <span class="kw">return if </span><span class="self">self</span>.denom < T::zero() { |
| ord.reverse() |
| } <span class="kw">else </span>{ |
| ord |
| }; |
| } |
| |
| <span class="comment">// With equal numerators, the denominators can be inversely compared |
| </span><span class="kw">if </span><span class="self">self</span>.numer == other.numer { |
| <span class="kw">if </span><span class="self">self</span>.numer.is_zero() { |
| <span class="kw">return </span>cmp::Ordering::Equal; |
| } |
| <span class="kw">let </span>ord = <span class="self">self</span>.denom.cmp(<span class="kw-2">&</span>other.denom); |
| <span class="kw">return if </span><span class="self">self</span>.numer < T::zero() { |
| ord |
| } <span class="kw">else </span>{ |
| ord.reverse() |
| }; |
| } |
| |
| <span class="comment">// Unfortunately, we don't have CheckedMul to try. That could sometimes avoid all the |
| // division below, or even always avoid it for BigInt and BigUint. |
| // FIXME- future breaking change to add Checked* to Integer? |
| |
| // Compare as floored integers and remainders |
| </span><span class="kw">let </span>(self_int, self_rem) = <span class="self">self</span>.numer.div_mod_floor(<span class="kw-2">&</span><span class="self">self</span>.denom); |
| <span class="kw">let </span>(other_int, other_rem) = other.numer.div_mod_floor(<span class="kw-2">&</span>other.denom); |
| <span class="kw">match </span>self_int.cmp(<span class="kw-2">&</span>other_int) { |
| cmp::Ordering::Greater => cmp::Ordering::Greater, |
| cmp::Ordering::Less => cmp::Ordering::Less, |
| cmp::Ordering::Equal => { |
| <span class="kw">match </span>(self_rem.is_zero(), other_rem.is_zero()) { |
| (<span class="bool-val">true</span>, <span class="bool-val">true</span>) => cmp::Ordering::Equal, |
| (<span class="bool-val">true</span>, <span class="bool-val">false</span>) => cmp::Ordering::Less, |
| (<span class="bool-val">false</span>, <span class="bool-val">true</span>) => cmp::Ordering::Greater, |
| (<span class="bool-val">false</span>, <span class="bool-val">false</span>) => { |
| <span class="comment">// Compare the reciprocals of the remaining fractions in reverse |
| </span><span class="kw">let </span>self_recip = Ratio::new_raw(<span class="self">self</span>.denom.clone(), self_rem); |
| <span class="kw">let </span>other_recip = Ratio::new_raw(other.denom.clone(), other_rem); |
| self_recip.cmp(<span class="kw-2">&</span>other_recip).reverse() |
| } |
| } |
| } |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> PartialOrd <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>partial_cmp(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="prelude-ty">Option</span><cmp::Ordering> { |
| <span class="prelude-val">Some</span>(<span class="self">self</span>.cmp(other)) |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> PartialEq <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>eq(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> bool { |
| <span class="self">self</span>.cmp(other) == cmp::Ordering::Equal |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> Eq <span class="kw">for </span>Ratio<T> {} |
| |
| <span class="comment">// NB: We can't just `#[derive(Hash)]`, because it needs to agree |
| // with `Eq` even for non-reduced ratios. |
| </span><span class="kw">impl</span><T: Clone + Integer + Hash> Hash <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>hash<H: Hasher>(<span class="kw-2">&</span><span class="self">self</span>, state: <span class="kw-2">&mut </span>H) { |
| recurse(<span class="kw-2">&</span><span class="self">self</span>.numer, <span class="kw-2">&</span><span class="self">self</span>.denom, state); |
| |
| <span class="kw">fn </span>recurse<T: Integer + Hash, H: Hasher>(numer: <span class="kw-2">&</span>T, denom: <span class="kw-2">&</span>T, state: <span class="kw-2">&mut </span>H) { |
| <span class="kw">if </span>!denom.is_zero() { |
| <span class="kw">let </span>(int, rem) = numer.div_mod_floor(denom); |
| int.hash(state); |
| recurse(denom, <span class="kw-2">&</span>rem, state); |
| } <span class="kw">else </span>{ |
| denom.hash(state); |
| } |
| } |
| } |
| } |
| |
| <span class="kw">mod </span>iter_sum_product { |
| <span class="kw">use </span><span class="kw">crate</span>::Ratio; |
| <span class="kw">use </span>core::iter::{Product, Sum}; |
| <span class="kw">use </span>num_integer::Integer; |
| <span class="kw">use </span>num_traits::{One, Zero}; |
| |
| <span class="kw">impl</span><T: Integer + Clone> Sum <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>sum<I>(iter: I) -> <span class="self">Self |
| </span><span class="kw">where |
| </span>I: Iterator<Item = Ratio<T>>, |
| { |
| iter.fold(<span class="self">Self</span>::zero(), |sum, num| sum + num) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Integer + Clone> Sum<<span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>sum<I>(iter: I) -> <span class="self">Self |
| </span><span class="kw">where |
| </span>I: Iterator<Item = <span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>>, |
| { |
| iter.fold(<span class="self">Self</span>::zero(), |sum, num| sum + num) |
| } |
| } |
| |
| <span class="kw">impl</span><T: Integer + Clone> Product <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>product<I>(iter: I) -> <span class="self">Self |
| </span><span class="kw">where |
| </span>I: Iterator<Item = Ratio<T>>, |
| { |
| iter.fold(<span class="self">Self</span>::one(), |prod, num| prod * num) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Integer + Clone> Product<<span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>product<I>(iter: I) -> <span class="self">Self |
| </span><span class="kw">where |
| </span>I: Iterator<Item = <span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>>, |
| { |
| iter.fold(<span class="self">Self</span>::one(), |prod, num| prod * num) |
| } |
| } |
| } |
| |
| <span class="kw">mod </span>opassign { |
| <span class="kw">use </span>core::ops::{AddAssign, DivAssign, MulAssign, RemAssign, SubAssign}; |
| |
| <span class="kw">use </span><span class="kw">crate</span>::Ratio; |
| <span class="kw">use </span>num_integer::Integer; |
| <span class="kw">use </span>num_traits::NumAssign; |
| |
| <span class="kw">impl</span><T: Clone + Integer + NumAssign> AddAssign <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: Ratio<T>) { |
| <span class="kw">if </span><span class="self">self</span>.denom == other.denom { |
| <span class="self">self</span>.numer += other.numer |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>lcm = <span class="self">self</span>.denom.lcm(<span class="kw-2">&</span>other.denom); |
| <span class="kw">let </span>lhs_numer = <span class="self">self</span>.numer.clone() * (lcm.clone() / <span class="self">self</span>.denom.clone()); |
| <span class="kw">let </span>rhs_numer = other.numer * (lcm.clone() / other.denom); |
| <span class="self">self</span>.numer = lhs_numer + rhs_numer; |
| <span class="self">self</span>.denom = lcm; |
| } |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="comment">// (a/b) / (c/d) = (a/gcd_ac)*(d/gcd_bd) / ((c/gcd_ac)*(b/gcd_bd)) |
| </span><span class="kw">impl</span><T: Clone + Integer + NumAssign> DivAssign <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: Ratio<T>) { |
| <span class="kw">let </span>gcd_ac = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>other.numer); |
| <span class="kw">let </span>gcd_bd = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>other.denom); |
| <span class="self">self</span>.numer /= gcd_ac.clone(); |
| <span class="self">self</span>.numer <span class="kw-2">*</span>= other.denom / gcd_bd.clone(); |
| <span class="self">self</span>.denom /= gcd_bd; |
| <span class="self">self</span>.denom <span class="kw-2">*</span>= other.numer / gcd_ac; |
| <span class="self">self</span>.reduce(); <span class="comment">// TODO: remove this line. see #8. |
| </span>} |
| } |
| |
| <span class="comment">// a/b * c/d = (a/gcd_ad)*(c/gcd_bc) / ((d/gcd_ad)*(b/gcd_bc)) |
| </span><span class="kw">impl</span><T: Clone + Integer + NumAssign> MulAssign <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: Ratio<T>) { |
| <span class="kw">let </span>gcd_ad = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>other.denom); |
| <span class="kw">let </span>gcd_bc = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>other.numer); |
| <span class="self">self</span>.numer /= gcd_ad.clone(); |
| <span class="self">self</span>.numer <span class="kw-2">*</span>= other.numer / gcd_bc.clone(); |
| <span class="self">self</span>.denom /= gcd_bc; |
| <span class="self">self</span>.denom <span class="kw-2">*</span>= other.denom / gcd_ad; |
| <span class="self">self</span>.reduce(); <span class="comment">// TODO: remove this line. see #8. |
| </span>} |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer + NumAssign> RemAssign <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: Ratio<T>) { |
| <span class="kw">if </span><span class="self">self</span>.denom == other.denom { |
| <span class="self">self</span>.numer %= other.numer |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>lcm = <span class="self">self</span>.denom.lcm(<span class="kw-2">&</span>other.denom); |
| <span class="kw">let </span>lhs_numer = <span class="self">self</span>.numer.clone() * (lcm.clone() / <span class="self">self</span>.denom.clone()); |
| <span class="kw">let </span>rhs_numer = other.numer * (lcm.clone() / other.denom); |
| <span class="self">self</span>.numer = lhs_numer % rhs_numer; |
| <span class="self">self</span>.denom = lcm; |
| } |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer + NumAssign> SubAssign <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: Ratio<T>) { |
| <span class="kw">if </span><span class="self">self</span>.denom == other.denom { |
| <span class="self">self</span>.numer -= other.numer |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>lcm = <span class="self">self</span>.denom.lcm(<span class="kw-2">&</span>other.denom); |
| <span class="kw">let </span>lhs_numer = <span class="self">self</span>.numer.clone() * (lcm.clone() / <span class="self">self</span>.denom.clone()); |
| <span class="kw">let </span>rhs_numer = other.numer * (lcm.clone() / other.denom); |
| <span class="self">self</span>.numer = lhs_numer - rhs_numer; |
| <span class="self">self</span>.denom = lcm; |
| } |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="comment">// a/b + c/1 = (a*1 + b*c) / (b*1) = (a + b*c) / b |
| </span><span class="kw">impl</span><T: Clone + Integer + NumAssign> AddAssign<T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>add_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: T) { |
| <span class="self">self</span>.numer += <span class="self">self</span>.denom.clone() * other; |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer + NumAssign> DivAssign<T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>div_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: T) { |
| <span class="kw">let </span>gcd = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>other); |
| <span class="self">self</span>.numer /= gcd.clone(); |
| <span class="self">self</span>.denom <span class="kw-2">*</span>= other / gcd; |
| <span class="self">self</span>.reduce(); <span class="comment">// TODO: remove this line. see #8. |
| </span>} |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer + NumAssign> MulAssign<T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>mul_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: T) { |
| <span class="kw">let </span>gcd = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>other); |
| <span class="self">self</span>.denom /= gcd.clone(); |
| <span class="self">self</span>.numer <span class="kw-2">*</span>= other / gcd; |
| <span class="self">self</span>.reduce(); <span class="comment">// TODO: remove this line. see #8. |
| </span>} |
| } |
| |
| <span class="comment">// a/b % c/1 = (a*1 % b*c) / (b*1) = (a % b*c) / b |
| </span><span class="kw">impl</span><T: Clone + Integer + NumAssign> RemAssign<T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>rem_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: T) { |
| <span class="self">self</span>.numer %= <span class="self">self</span>.denom.clone() * other; |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="comment">// a/b - c/1 = (a*1 - b*c) / (b*1) = (a - b*c) / b |
| </span><span class="kw">impl</span><T: Clone + Integer + NumAssign> SubAssign<T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>sub_assign(<span class="kw-2">&mut </span><span class="self">self</span>, other: T) { |
| <span class="self">self</span>.numer -= <span class="self">self</span>.denom.clone() * other; |
| <span class="self">self</span>.reduce(); |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>forward_op_assign { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Clone + Integer + NumAssign> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>> <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>Ratio<T>) { |
| <span class="self">self</span>.<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T: Clone + Integer + NumAssign> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'a </span>T> <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="kw-2">&mut </span><span class="self">self</span>, other: <span class="kw-2">&</span>T) { |
| <span class="self">self</span>.<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">forward_op_assign!</span>(<span class="kw">impl </span>AddAssign, add_assign); |
| <span class="macro">forward_op_assign!</span>(<span class="kw">impl </span>DivAssign, div_assign); |
| <span class="macro">forward_op_assign!</span>(<span class="kw">impl </span>MulAssign, mul_assign); |
| <span class="macro">forward_op_assign!</span>(<span class="kw">impl </span>RemAssign, rem_assign); |
| <span class="macro">forward_op_assign!</span>(<span class="kw">impl </span>SubAssign, sub_assign); |
| } |
| |
| <span class="macro">macro_rules! </span>forward_ref_ref_binop { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Clone + Integer> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'b </span>Ratio<T>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: <span class="kw-2">&</span><span class="lifetime">'b </span>Ratio<T>) -> Ratio<T> { |
| <span class="self">self</span>.clone().<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, <span class="lifetime">'b</span>, T: Clone + Integer> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'b </span>T> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: <span class="kw-2">&</span><span class="lifetime">'b </span>T) -> Ratio<T> { |
| <span class="self">self</span>.clone().<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">macro_rules! </span>forward_ref_val_binop { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> <span class="macro-nonterminal">$imp</span><Ratio<T>> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: Ratio<T>) -> Ratio<T> { |
| <span class="self">self</span>.clone().<span class="macro-nonterminal">$method</span>(other) |
| } |
| } |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> <span class="macro-nonterminal">$imp</span><T> <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: T) -> Ratio<T> { |
| <span class="self">self</span>.clone().<span class="macro-nonterminal">$method</span>(other) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">macro_rules! </span>forward_val_ref_binop { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T>> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: <span class="kw-2">&</span>Ratio<T>) -> Ratio<T> { |
| <span class="self">self</span>.<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> <span class="macro-nonterminal">$imp</span><<span class="kw-2">&</span><span class="lifetime">'a </span>T> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, other: <span class="kw-2">&</span>T) -> Ratio<T> { |
| <span class="self">self</span>.<span class="macro-nonterminal">$method</span>(other.clone()) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">macro_rules! </span>forward_all_binop { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="macro">forward_ref_ref_binop!</span>(<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>, <span class="macro-nonterminal">$method</span>); |
| <span class="macro">forward_ref_val_binop!</span>(<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>, <span class="macro-nonterminal">$method</span>); |
| <span class="macro">forward_val_ref_binop!</span>(<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>, <span class="macro-nonterminal">$method</span>); |
| }; |
| } |
| |
| <span class="comment">// Arithmetic |
| </span><span class="macro">forward_all_binop!</span>(<span class="kw">impl </span>Mul, mul); |
| <span class="comment">// a/b * c/d = (a/gcd_ad)*(c/gcd_bc) / ((d/gcd_ad)*(b/gcd_bc)) |
| </span><span class="kw">impl</span><T> Mul<Ratio<T>> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, rhs: Ratio<T>) -> Ratio<T> { |
| <span class="kw">let </span>gcd_ad = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>rhs.denom); |
| <span class="kw">let </span>gcd_bc = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>rhs.numer); |
| Ratio::new( |
| <span class="self">self</span>.numer / gcd_ad.clone() * (rhs.numer / gcd_bc.clone()), |
| <span class="self">self</span>.denom / gcd_bc * (rhs.denom / gcd_ad), |
| ) |
| } |
| } |
| <span class="comment">// a/b * c/1 = (a*c) / (b*1) = (a*c) / b |
| </span><span class="kw">impl</span><T> Mul<T> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>mul(<span class="self">self</span>, rhs: T) -> Ratio<T> { |
| <span class="kw">let </span>gcd = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>rhs); |
| Ratio::new(<span class="self">self</span>.numer * (rhs / gcd.clone()), <span class="self">self</span>.denom / gcd) |
| } |
| } |
| |
| <span class="macro">forward_all_binop!</span>(<span class="kw">impl </span>Div, div); |
| <span class="comment">// (a/b) / (c/d) = (a/gcd_ac)*(d/gcd_bd) / ((c/gcd_ac)*(b/gcd_bd)) |
| </span><span class="kw">impl</span><T> Div<Ratio<T>> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, rhs: Ratio<T>) -> Ratio<T> { |
| <span class="kw">let </span>gcd_ac = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>rhs.numer); |
| <span class="kw">let </span>gcd_bd = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>rhs.denom); |
| Ratio::new( |
| <span class="self">self</span>.numer / gcd_ac.clone() * (rhs.denom / gcd_bd.clone()), |
| <span class="self">self</span>.denom / gcd_bd * (rhs.numer / gcd_ac), |
| ) |
| } |
| } |
| <span class="comment">// (a/b) / (c/1) = (a*1) / (b*c) = a / (b*c) |
| </span><span class="kw">impl</span><T> Div<T> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>div(<span class="self">self</span>, rhs: T) -> Ratio<T> { |
| <span class="kw">let </span>gcd = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>rhs); |
| Ratio::new(<span class="self">self</span>.numer / gcd.clone(), <span class="self">self</span>.denom * (rhs / gcd)) |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>arith_impl { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="macro">forward_all_binop!</span>(<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>, <span class="macro-nonterminal">$method</span>); |
| <span class="comment">// Abstracts a/b `op` c/d = (a*lcm/b `op` c*lcm/d)/lcm where lcm = lcm(b,d) |
| </span><span class="kw">impl</span><T: Clone + Integer> <span class="macro-nonterminal">$imp</span><Ratio<T>> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">type </span>Output = Ratio<T>; |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, rhs: Ratio<T>) -> Ratio<T> { |
| <span class="kw">if </span><span class="self">self</span>.denom == rhs.denom { |
| <span class="kw">return </span>Ratio::new(<span class="self">self</span>.numer.<span class="macro-nonterminal">$method</span>(rhs.numer), rhs.denom); |
| } |
| <span class="kw">let </span>lcm = <span class="self">self</span>.denom.lcm(<span class="kw-2">&</span>rhs.denom); |
| <span class="kw">let </span>lhs_numer = <span class="self">self</span>.numer * (lcm.clone() / <span class="self">self</span>.denom); |
| <span class="kw">let </span>rhs_numer = rhs.numer * (lcm.clone() / rhs.denom); |
| Ratio::new(lhs_numer.<span class="macro-nonterminal">$method</span>(rhs_numer), lcm) |
| } |
| } |
| <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><T: Clone + Integer> <span class="macro-nonterminal">$imp</span><T> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">type </span>Output = Ratio<T>; |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="self">self</span>, rhs: T) -> Ratio<T> { |
| Ratio::new(<span class="self">self</span>.numer.<span class="macro-nonterminal">$method</span>(<span class="self">self</span>.denom.clone() * rhs), <span class="self">self</span>.denom) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">arith_impl!</span>(<span class="kw">impl </span>Add, add); |
| <span class="macro">arith_impl!</span>(<span class="kw">impl </span>Sub, sub); |
| <span class="macro">arith_impl!</span>(<span class="kw">impl </span>Rem, rem); |
| |
| <span class="comment">// a/b * c/d = (a*c)/(b*d) |
| </span><span class="kw">impl</span><T> CheckedMul <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer + CheckedMul, |
| { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_mul(<span class="kw-2">&</span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Ratio<T>) -> <span class="prelude-ty">Option</span><Ratio<T>> { |
| <span class="kw">let </span>gcd_ad = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>rhs.denom); |
| <span class="kw">let </span>gcd_bc = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>rhs.numer); |
| <span class="prelude-val">Some</span>(Ratio::new( |
| (<span class="self">self</span>.numer.clone() / gcd_ad.clone()) |
| .checked_mul(<span class="kw-2">&</span>(rhs.numer.clone() / gcd_bc.clone()))<span class="question-mark">?</span>, |
| (<span class="self">self</span>.denom.clone() / gcd_bc).checked_mul(<span class="kw-2">&</span>(rhs.denom.clone() / gcd_ad))<span class="question-mark">?</span>, |
| )) |
| } |
| } |
| |
| <span class="comment">// (a/b) / (c/d) = (a*d)/(b*c) |
| </span><span class="kw">impl</span><T> CheckedDiv <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer + CheckedMul, |
| { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>checked_div(<span class="kw-2">&</span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Ratio<T>) -> <span class="prelude-ty">Option</span><Ratio<T>> { |
| <span class="kw">if </span>rhs.is_zero() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| <span class="kw">let </span>(numer, denom) = <span class="kw">if </span><span class="self">self</span>.denom == rhs.denom { |
| (<span class="self">self</span>.numer.clone(), rhs.numer.clone()) |
| } <span class="kw">else if </span><span class="self">self</span>.numer == rhs.numer { |
| (rhs.denom.clone(), <span class="self">self</span>.denom.clone()) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>gcd_ac = <span class="self">self</span>.numer.gcd(<span class="kw-2">&</span>rhs.numer); |
| <span class="kw">let </span>gcd_bd = <span class="self">self</span>.denom.gcd(<span class="kw-2">&</span>rhs.denom); |
| ( |
| (<span class="self">self</span>.numer.clone() / gcd_ac.clone()) |
| .checked_mul(<span class="kw-2">&</span>(rhs.denom.clone() / gcd_bd.clone()))<span class="question-mark">?</span>, |
| (<span class="self">self</span>.denom.clone() / gcd_bd).checked_mul(<span class="kw-2">&</span>(rhs.numer.clone() / gcd_ac))<span class="question-mark">?</span>, |
| ) |
| }; |
| <span class="comment">// Manual `reduce()`, avoiding sharp edges |
| </span><span class="kw">if </span>denom.is_zero() { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else if </span>numer.is_zero() { |
| <span class="prelude-val">Some</span>(<span class="self">Self</span>::zero()) |
| } <span class="kw">else if </span>numer == denom { |
| <span class="prelude-val">Some</span>(<span class="self">Self</span>::one()) |
| } <span class="kw">else </span>{ |
| <span class="kw">let </span>g = numer.gcd(<span class="kw-2">&</span>denom); |
| <span class="kw">let </span>numer = numer / g.clone(); |
| <span class="kw">let </span>denom = denom / g; |
| <span class="kw">let </span>raw = <span class="kw">if </span>denom < T::zero() { |
| <span class="comment">// We need to keep denom positive, but 2's-complement MIN may |
| // overflow negation -- instead we can check multiplying -1. |
| </span><span class="kw">let </span>n1 = T::zero() - T::one(); |
| Ratio::new_raw(numer.checked_mul(<span class="kw-2">&</span>n1)<span class="question-mark">?</span>, denom.checked_mul(<span class="kw-2">&</span>n1)<span class="question-mark">?</span>) |
| } <span class="kw">else </span>{ |
| Ratio::new_raw(numer, denom) |
| }; |
| <span class="prelude-val">Some</span>(raw) |
| } |
| } |
| } |
| |
| <span class="comment">// As arith_impl! but for Checked{Add,Sub} traits |
| </span><span class="macro">macro_rules! </span>checked_arith_impl { |
| (<span class="kw">impl </span><span class="macro-nonterminal">$imp</span>:ident, <span class="macro-nonterminal">$method</span>:ident) => { |
| <span class="kw">impl</span><T: Clone + Integer + CheckedMul + <span class="macro-nonterminal">$imp</span>> <span class="macro-nonterminal">$imp </span><span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span><span class="macro-nonterminal">$method</span>(<span class="kw-2">&</span><span class="self">self</span>, rhs: <span class="kw-2">&</span>Ratio<T>) -> <span class="prelude-ty">Option</span><Ratio<T>> { |
| <span class="kw">let </span>gcd = <span class="self">self</span>.denom.clone().gcd(<span class="kw-2">&</span>rhs.denom); |
| <span class="kw">let </span>lcm = (<span class="self">self</span>.denom.clone() / gcd.clone()).checked_mul(<span class="kw-2">&</span>rhs.denom)<span class="question-mark">?</span>; |
| <span class="kw">let </span>lhs_numer = (lcm.clone() / <span class="self">self</span>.denom.clone()).checked_mul(<span class="kw-2">&</span><span class="self">self</span>.numer)<span class="question-mark">?</span>; |
| <span class="kw">let </span>rhs_numer = (lcm.clone() / rhs.denom.clone()).checked_mul(<span class="kw-2">&</span>rhs.numer)<span class="question-mark">?</span>; |
| <span class="prelude-val">Some</span>(Ratio::new(lhs_numer.<span class="macro-nonterminal">$method</span>(<span class="kw-2">&</span>rhs_numer)<span class="question-mark">?</span>, lcm)) |
| } |
| } |
| }; |
| } |
| |
| <span class="comment">// a/b + c/d = (lcm/b*a + lcm/d*c)/lcm, where lcm = lcm(b,d) |
| </span><span class="macro">checked_arith_impl!</span>(<span class="kw">impl </span>CheckedAdd, checked_add); |
| |
| <span class="comment">// a/b - c/d = (lcm/b*a - lcm/d*c)/lcm, where lcm = lcm(b,d) |
| </span><span class="macro">checked_arith_impl!</span>(<span class="kw">impl </span>CheckedSub, checked_sub); |
| |
| <span class="kw">impl</span><T> Neg <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer + Neg<Output = T>, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>neg(<span class="self">self</span>) -> Ratio<T> { |
| Ratio::new_raw(-<span class="self">self</span>.numer, <span class="self">self</span>.denom) |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> Neg <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer + Neg<Output = T>, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>neg(<span class="self">self</span>) -> Ratio<T> { |
| -<span class="self">self</span>.clone() |
| } |
| } |
| |
| <span class="kw">impl</span><T> Inv <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>inv(<span class="self">self</span>) -> Ratio<T> { |
| <span class="self">self</span>.recip() |
| } |
| } |
| |
| <span class="kw">impl</span><<span class="lifetime">'a</span>, T> Inv <span class="kw">for </span><span class="kw-2">&</span><span class="lifetime">'a </span>Ratio<T> |
| <span class="kw">where |
| </span>T: Clone + Integer, |
| { |
| <span class="kw">type </span>Output = Ratio<T>; |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>inv(<span class="self">self</span>) -> Ratio<T> { |
| <span class="self">self</span>.recip() |
| } |
| } |
| |
| <span class="comment">// Constants |
| </span><span class="kw">impl</span><T: Clone + Integer> Zero <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>zero() -> Ratio<T> { |
| Ratio::new_raw(Zero::zero(), One::one()) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_zero(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.numer.is_zero() |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>set_zero(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.numer.set_zero(); |
| <span class="self">self</span>.denom.set_one(); |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> One <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>one() -> Ratio<T> { |
| Ratio::new_raw(One::one(), One::one()) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_one(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| <span class="self">self</span>.numer == <span class="self">self</span>.denom |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>set_one(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.numer.set_one(); |
| <span class="self">self</span>.denom.set_one(); |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer> Num <span class="kw">for </span>Ratio<T> { |
| <span class="kw">type </span>FromStrRadixErr = ParseRatioError; |
| |
| <span class="doccomment">/// Parses `numer/denom` where the numbers are in base `radix`. |
| </span><span class="kw">fn </span>from_str_radix(s: <span class="kw-2">&</span>str, radix: u32) -> <span class="prelude-ty">Result</span><Ratio<T>, ParseRatioError> { |
| <span class="kw">if </span>s.splitn(<span class="number">2</span>, <span class="string">'/'</span>).count() == <span class="number">2 </span>{ |
| <span class="kw">let </span><span class="kw-2">mut </span>parts = s.splitn(<span class="number">2</span>, <span class="string">'/'</span>).map(|ss| { |
| T::from_str_radix(ss, radix).map_err(|<span class="kw">_</span>| ParseRatioError { |
| kind: RatioErrorKind::ParseError, |
| }) |
| }); |
| <span class="kw">let </span>numer: T = parts.next().unwrap()<span class="question-mark">?</span>; |
| <span class="kw">let </span>denom: T = parts.next().unwrap()<span class="question-mark">?</span>; |
| <span class="kw">if </span>denom.is_zero() { |
| <span class="prelude-val">Err</span>(ParseRatioError { |
| kind: RatioErrorKind::ZeroDenominator, |
| }) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">Ok</span>(Ratio::new(numer, denom)) |
| } |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">Err</span>(ParseRatioError { |
| kind: RatioErrorKind::ParseError, |
| }) |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><T: Clone + Integer + Signed> Signed <span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>abs(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">if </span><span class="self">self</span>.is_negative() { |
| -<span class="self">self</span>.clone() |
| } <span class="kw">else </span>{ |
| <span class="self">self</span>.clone() |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>abs_sub(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>Ratio<T>) -> Ratio<T> { |
| <span class="kw">if </span><span class="kw-2">*</span><span class="self">self </span><= <span class="kw-2">*</span>other { |
| Zero::zero() |
| } <span class="kw">else </span>{ |
| <span class="self">self </span>- other |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>signum(<span class="kw-2">&</span><span class="self">self</span>) -> Ratio<T> { |
| <span class="kw">if </span><span class="self">self</span>.is_positive() { |
| <span class="self">Self</span>::one() |
| } <span class="kw">else if </span><span class="self">self</span>.is_zero() { |
| <span class="self">Self</span>::zero() |
| } <span class="kw">else </span>{ |
| -<span class="self">Self</span>::one() |
| } |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_positive(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| (<span class="self">self</span>.numer.is_positive() && <span class="self">self</span>.denom.is_positive()) |
| || (<span class="self">self</span>.numer.is_negative() && <span class="self">self</span>.denom.is_negative()) |
| } |
| |
| <span class="attribute">#[inline] |
| </span><span class="kw">fn </span>is_negative(<span class="kw-2">&</span><span class="self">self</span>) -> bool { |
| (<span class="self">self</span>.numer.is_negative() && <span class="self">self</span>.denom.is_positive()) |
| || (<span class="self">self</span>.numer.is_positive() && <span class="self">self</span>.denom.is_negative()) |
| } |
| } |
| |
| <span class="comment">// String conversions |
| </span><span class="macro">macro_rules! </span>impl_formatting { |
| (<span class="macro-nonterminal">$fmt_trait</span>:ident, <span class="macro-nonterminal">$prefix</span>:expr, <span class="macro-nonterminal">$fmt_str</span>:expr, <span class="macro-nonterminal">$fmt_alt</span>:expr) => { |
| <span class="kw">impl</span><T: <span class="macro-nonterminal">$fmt_trait </span>+ Clone + Integer> <span class="macro-nonterminal">$fmt_trait </span><span class="kw">for </span>Ratio<T> { |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>Formatter<<span class="lifetime">'_</span>>) -> fmt::Result { |
| <span class="kw">let </span>pre_pad = <span class="kw">if </span><span class="self">self</span>.denom.is_one() { |
| <span class="macro">format!</span>(<span class="macro-nonterminal">$fmt_str</span>, <span class="self">self</span>.numer) |
| } <span class="kw">else </span>{ |
| <span class="kw">if </span>f.alternate() { |
| <span class="macro">format!</span>(<span class="macro">concat!</span>(<span class="macro-nonterminal">$fmt_str</span>, <span class="string">"/"</span>, <span class="macro-nonterminal">$fmt_alt</span>), <span class="self">self</span>.numer, <span class="self">self</span>.denom) |
| } <span class="kw">else </span>{ |
| <span class="macro">format!</span>(<span class="macro">concat!</span>(<span class="macro-nonterminal">$fmt_str</span>, <span class="string">"/"</span>, <span class="macro-nonterminal">$fmt_str</span>), <span class="self">self</span>.numer, <span class="self">self</span>.denom) |
| } |
| }; |
| <span class="comment">// TODO: replace with strip_prefix, when stabalized |
| </span><span class="kw">let </span>(pre_pad, non_negative) = { |
| <span class="kw">if </span>pre_pad.starts_with(<span class="string">"-"</span>) { |
| (<span class="kw-2">&</span>pre_pad[<span class="number">1</span>..], <span class="bool-val">false</span>) |
| } <span class="kw">else </span>{ |
| (<span class="kw-2">&</span>pre_pad[..], <span class="bool-val">true</span>) |
| } |
| }; |
| f.pad_integral(non_negative, <span class="macro-nonterminal">$prefix</span>, pre_pad) |
| } |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span><span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>Formatter<<span class="lifetime">'_</span>>) -> fmt::Result { |
| <span class="kw">let </span>plus = <span class="kw">if </span>f.sign_plus() && <span class="self">self</span>.numer >= T::zero() { |
| <span class="string">"+" |
| </span>} <span class="kw">else </span>{ |
| <span class="string">"" |
| </span>}; |
| <span class="kw">if </span><span class="self">self</span>.denom.is_one() { |
| <span class="kw">if </span>f.alternate() { |
| <span class="macro">write!</span>(f, <span class="macro">concat!</span>(<span class="string">"{}"</span>, <span class="macro-nonterminal">$fmt_alt</span>), plus, <span class="self">self</span>.numer) |
| } <span class="kw">else </span>{ |
| <span class="macro">write!</span>(f, <span class="macro">concat!</span>(<span class="string">"{}"</span>, <span class="macro-nonterminal">$fmt_str</span>), plus, <span class="self">self</span>.numer) |
| } |
| } <span class="kw">else </span>{ |
| <span class="kw">if </span>f.alternate() { |
| <span class="macro">write!</span>( |
| f, |
| <span class="macro">concat!</span>(<span class="string">"{}"</span>, <span class="macro-nonterminal">$fmt_alt</span>, <span class="string">"/"</span>, <span class="macro-nonterminal">$fmt_alt</span>), |
| plus, <span class="self">self</span>.numer, <span class="self">self</span>.denom |
| ) |
| } <span class="kw">else </span>{ |
| <span class="macro">write!</span>( |
| f, |
| <span class="macro">concat!</span>(<span class="string">"{}"</span>, <span class="macro-nonterminal">$fmt_str</span>, <span class="string">"/"</span>, <span class="macro-nonterminal">$fmt_str</span>), |
| plus, <span class="self">self</span>.numer, <span class="self">self</span>.denom |
| ) |
| } |
| } |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">impl_formatting!</span>(Display, <span class="string">""</span>, <span class="string">"{}"</span>, <span class="string">"{:#}"</span>); |
| <span class="macro">impl_formatting!</span>(Octal, <span class="string">"0o"</span>, <span class="string">"{:o}"</span>, <span class="string">"{:#o}"</span>); |
| <span class="macro">impl_formatting!</span>(Binary, <span class="string">"0b"</span>, <span class="string">"{:b}"</span>, <span class="string">"{:#b}"</span>); |
| <span class="macro">impl_formatting!</span>(LowerHex, <span class="string">"0x"</span>, <span class="string">"{:x}"</span>, <span class="string">"{:#x}"</span>); |
| <span class="macro">impl_formatting!</span>(UpperHex, <span class="string">"0x"</span>, <span class="string">"{:X}"</span>, <span class="string">"{:#X}"</span>); |
| <span class="macro">impl_formatting!</span>(LowerExp, <span class="string">""</span>, <span class="string">"{:e}"</span>, <span class="string">"{:#e}"</span>); |
| <span class="macro">impl_formatting!</span>(UpperExp, <span class="string">""</span>, <span class="string">"{:E}"</span>, <span class="string">"{:#E}"</span>); |
| |
| <span class="kw">impl</span><T: FromStr + Clone + Integer> FromStr <span class="kw">for </span>Ratio<T> { |
| <span class="kw">type </span><span class="prelude-val">Err </span>= ParseRatioError; |
| |
| <span class="doccomment">/// Parses `numer/denom` or just `numer`. |
| </span><span class="kw">fn </span>from_str(s: <span class="kw-2">&</span>str) -> <span class="prelude-ty">Result</span><Ratio<T>, ParseRatioError> { |
| <span class="kw">let </span><span class="kw-2">mut </span>split = s.splitn(<span class="number">2</span>, <span class="string">'/'</span>); |
| |
| <span class="kw">let </span>n = split.next().ok_or(ParseRatioError { |
| kind: RatioErrorKind::ParseError, |
| })<span class="question-mark">?</span>; |
| <span class="kw">let </span>num = FromStr::from_str(n).map_err(|<span class="kw">_</span>| ParseRatioError { |
| kind: RatioErrorKind::ParseError, |
| })<span class="question-mark">?</span>; |
| |
| <span class="kw">let </span>d = split.next().unwrap_or(<span class="string">"1"</span>); |
| <span class="kw">let </span>den = FromStr::from_str(d).map_err(|<span class="kw">_</span>| ParseRatioError { |
| kind: RatioErrorKind::ParseError, |
| })<span class="question-mark">?</span>; |
| |
| <span class="kw">if </span>Zero::is_zero(<span class="kw-2">&</span>den) { |
| <span class="prelude-val">Err</span>(ParseRatioError { |
| kind: RatioErrorKind::ZeroDenominator, |
| }) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">Ok</span>(Ratio::new(num, den)) |
| } |
| } |
| } |
| |
| <span class="kw">impl</span><T> Into<(T, T)> <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>into(<span class="self">self</span>) -> (T, T) { |
| (<span class="self">self</span>.numer, <span class="self">self</span>.denom) |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl</span><T> serde::Serialize <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: serde::Serialize + Clone + Integer + PartialOrd, |
| { |
| <span class="kw">fn </span>serialize<S>(<span class="kw-2">&</span><span class="self">self</span>, serializer: S) -> <span class="prelude-ty">Result</span><S::Ok, S::Error> |
| <span class="kw">where |
| </span>S: serde::Serializer, |
| { |
| (<span class="self">self</span>.numer(), <span class="self">self</span>.denom()).serialize(serializer) |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"serde"</span>)] |
| </span><span class="kw">impl</span><<span class="lifetime">'de</span>, T> serde::Deserialize<<span class="lifetime">'de</span>> <span class="kw">for </span>Ratio<T> |
| <span class="kw">where |
| </span>T: serde::Deserialize<<span class="lifetime">'de</span>> + Clone + Integer + PartialOrd, |
| { |
| <span class="kw">fn </span>deserialize<D>(deserializer: D) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, D::Error> |
| <span class="kw">where |
| </span>D: serde::Deserializer<<span class="lifetime">'de</span>>, |
| { |
| <span class="kw">use </span>serde::de::Error; |
| <span class="kw">use </span>serde::de::Unexpected; |
| <span class="kw">let </span>(numer, denom): (T, T) = serde::Deserialize::deserialize(deserializer)<span class="question-mark">?</span>; |
| <span class="kw">if </span>denom.is_zero() { |
| <span class="prelude-val">Err</span>(Error::invalid_value( |
| Unexpected::Signed(<span class="number">0</span>), |
| <span class="kw-2">&</span><span class="string">"a ratio with non-zero denominator"</span>, |
| )) |
| } <span class="kw">else </span>{ |
| <span class="prelude-val">Ok</span>(Ratio::new_raw(numer, denom)) |
| } |
| } |
| } |
| |
| <span class="comment">// FIXME: Bubble up specific errors |
| </span><span class="attribute">#[derive(Copy, Clone, Debug, PartialEq)] |
| </span><span class="kw">pub struct </span>ParseRatioError { |
| kind: RatioErrorKind, |
| } |
| |
| <span class="attribute">#[derive(Copy, Clone, Debug, PartialEq)] |
| </span><span class="kw">enum </span>RatioErrorKind { |
| ParseError, |
| ZeroDenominator, |
| } |
| |
| <span class="kw">impl </span>fmt::Display <span class="kw">for </span>ParseRatioError { |
| <span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter<<span class="lifetime">'_</span>>) -> fmt::Result { |
| <span class="self">self</span>.kind.description().fmt(f) |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">impl </span>Error <span class="kw">for </span>ParseRatioError { |
| <span class="attribute">#[allow(deprecated)] |
| </span><span class="kw">fn </span>description(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="kw-2">&</span>str { |
| <span class="self">self</span>.kind.description() |
| } |
| } |
| |
| <span class="kw">impl </span>RatioErrorKind { |
| <span class="kw">fn </span>description(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="kw-2">&</span><span class="lifetime">'static </span>str { |
| <span class="kw">match </span><span class="kw-2">*</span><span class="self">self </span>{ |
| RatioErrorKind::ParseError => <span class="string">"failed to parse integer"</span>, |
| RatioErrorKind::ZeroDenominator => <span class="string">"zero value denominator"</span>, |
| } |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">impl </span>FromPrimitive <span class="kw">for </span>Ratio<BigInt> { |
| <span class="kw">fn </span>from_i64(n: i64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="prelude-val">Some</span>(Ratio::from_integer(n.into())) |
| } |
| |
| <span class="kw">fn </span>from_i128(n: i128) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="prelude-val">Some</span>(Ratio::from_integer(n.into())) |
| } |
| |
| <span class="kw">fn </span>from_u64(n: u64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="prelude-val">Some</span>(Ratio::from_integer(n.into())) |
| } |
| |
| <span class="kw">fn </span>from_u128(n: u128) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="prelude-val">Some</span>(Ratio::from_integer(n.into())) |
| } |
| |
| <span class="kw">fn </span>from_f32(n: f32) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| Ratio::from_float(n) |
| } |
| |
| <span class="kw">fn </span>from_f64(n: f64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| Ratio::from_float(n) |
| } |
| } |
| |
| <span class="macro">macro_rules! </span>from_primitive_integer { |
| (<span class="macro-nonterminal">$typ</span>:ty, <span class="macro-nonterminal">$approx</span>:ident) => { |
| <span class="kw">impl </span>FromPrimitive <span class="kw">for </span>Ratio<<span class="macro-nonterminal">$typ</span>> { |
| <span class="kw">fn </span>from_i64(n: i64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$typ </span><span class="kw">as </span>FromPrimitive>::from_i64(n).map(Ratio::from_integer) |
| } |
| |
| <span class="kw">fn </span>from_i128(n: i128) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$typ </span><span class="kw">as </span>FromPrimitive>::from_i128(n).map(Ratio::from_integer) |
| } |
| |
| <span class="kw">fn </span>from_u64(n: u64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$typ </span><span class="kw">as </span>FromPrimitive>::from_u64(n).map(Ratio::from_integer) |
| } |
| |
| <span class="kw">fn </span>from_u128(n: u128) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <<span class="macro-nonterminal">$typ </span><span class="kw">as </span>FromPrimitive>::from_u128(n).map(Ratio::from_integer) |
| } |
| |
| <span class="kw">fn </span>from_f32(n: f32) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="macro-nonterminal">$approx</span>(n, <span class="number">10e-20</span>, <span class="number">30</span>) |
| } |
| |
| <span class="kw">fn </span>from_f64(n: f64) -> <span class="prelude-ty">Option</span><<span class="self">Self</span>> { |
| <span class="macro-nonterminal">$approx</span>(n, <span class="number">10e-20</span>, <span class="number">30</span>) |
| } |
| } |
| }; |
| } |
| |
| <span class="macro">from_primitive_integer!</span>(i8, approximate_float); |
| <span class="macro">from_primitive_integer!</span>(i16, approximate_float); |
| <span class="macro">from_primitive_integer!</span>(i32, approximate_float); |
| <span class="macro">from_primitive_integer!</span>(i64, approximate_float); |
| <span class="macro">from_primitive_integer!</span>(i128, approximate_float); |
| <span class="macro">from_primitive_integer!</span>(isize, approximate_float); |
| |
| <span class="macro">from_primitive_integer!</span>(u8, approximate_float_unsigned); |
| <span class="macro">from_primitive_integer!</span>(u16, approximate_float_unsigned); |
| <span class="macro">from_primitive_integer!</span>(u32, approximate_float_unsigned); |
| <span class="macro">from_primitive_integer!</span>(u64, approximate_float_unsigned); |
| <span class="macro">from_primitive_integer!</span>(u128, approximate_float_unsigned); |
| <span class="macro">from_primitive_integer!</span>(usize, approximate_float_unsigned); |
| |
| <span class="kw">impl</span><T: Integer + Signed + Bounded + NumCast + Clone> Ratio<T> { |
| <span class="kw">pub fn </span>approximate_float<F: FloatCore + NumCast>(f: F) -> <span class="prelude-ty">Option</span><Ratio<T>> { |
| <span class="comment">// 1/10e-20 < 1/2**32 which seems like a good default, and 30 seems |
| // to work well. Might want to choose something based on the types in the future, e.g. |
| // T::max().recip() and T::bits() or something similar. |
| </span><span class="kw">let </span>epsilon = <F <span class="kw">as </span>NumCast>::from(<span class="number">10e-20</span>).expect(<span class="string">"Can't convert 10e-20"</span>); |
| approximate_float(f, epsilon, <span class="number">30</span>) |
| } |
| } |
| |
| <span class="kw">fn </span>approximate_float<T, F>(val: F, max_error: F, max_iterations: usize) -> <span class="prelude-ty">Option</span><Ratio<T>> |
| <span class="kw">where |
| </span>T: Integer + Signed + Bounded + NumCast + Clone, |
| F: FloatCore + NumCast, |
| { |
| <span class="kw">let </span>negative = val.is_sign_negative(); |
| <span class="kw">let </span>abs_val = val.abs(); |
| |
| <span class="kw">let </span>r = approximate_float_unsigned(abs_val, max_error, max_iterations)<span class="question-mark">?</span>; |
| |
| <span class="comment">// Make negative again if needed |
| </span><span class="prelude-val">Some</span>(<span class="kw">if </span>negative { r.neg() } <span class="kw">else </span>{ r }) |
| } |
| |
| <span class="comment">// No Unsigned constraint because this also works on positive integers and is called |
| // like that, see above |
| </span><span class="kw">fn </span>approximate_float_unsigned<T, F>(val: F, max_error: F, max_iterations: usize) -> <span class="prelude-ty">Option</span><Ratio<T>> |
| <span class="kw">where |
| </span>T: Integer + Bounded + NumCast + Clone, |
| F: FloatCore + NumCast, |
| { |
| <span class="comment">// Continued fractions algorithm |
| // http://mathforum.org/dr.math/faq/faq.fractions.html#decfrac |
| |
| </span><span class="kw">if </span>val < F::zero() || val.is_nan() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>q = val; |
| <span class="kw">let </span><span class="kw-2">mut </span>n0 = T::zero(); |
| <span class="kw">let </span><span class="kw-2">mut </span>d0 = T::one(); |
| <span class="kw">let </span><span class="kw-2">mut </span>n1 = T::one(); |
| <span class="kw">let </span><span class="kw-2">mut </span>d1 = T::zero(); |
| |
| <span class="kw">let </span>t_max = T::max_value(); |
| <span class="kw">let </span>t_max_f = <F <span class="kw">as </span>NumCast>::from(t_max.clone())<span class="question-mark">?</span>; |
| |
| <span class="comment">// 1/epsilon > T::MAX |
| </span><span class="kw">let </span>epsilon = t_max_f.recip(); |
| |
| <span class="comment">// Overflow |
| </span><span class="kw">if </span>q > t_max_f { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| |
| <span class="kw">for _ in </span><span class="number">0</span>..max_iterations { |
| <span class="kw">let </span>a = <span class="kw">match </span><T <span class="kw">as </span>NumCast>::from(q) { |
| <span class="prelude-val">None </span>=> <span class="kw">break</span>, |
| <span class="prelude-val">Some</span>(a) => a, |
| }; |
| |
| <span class="kw">let </span>a_f = <span class="kw">match </span><F <span class="kw">as </span>NumCast>::from(a.clone()) { |
| <span class="prelude-val">None </span>=> <span class="kw">break</span>, |
| <span class="prelude-val">Some</span>(a_f) => a_f, |
| }; |
| <span class="kw">let </span>f = q - a_f; |
| |
| <span class="comment">// Prevent overflow |
| </span><span class="kw">if </span>!a.is_zero() |
| && (n1 > t_max.clone() / a.clone() |
| || d1 > t_max.clone() / a.clone() |
| || a.clone() * n1.clone() > t_max.clone() - n0.clone() |
| || a.clone() * d1.clone() > t_max.clone() - d0.clone()) |
| { |
| <span class="kw">break</span>; |
| } |
| |
| <span class="kw">let </span>n = a.clone() * n1.clone() + n0.clone(); |
| <span class="kw">let </span>d = a.clone() * d1.clone() + d0.clone(); |
| |
| n0 = n1; |
| d0 = d1; |
| n1 = n.clone(); |
| d1 = d.clone(); |
| |
| <span class="comment">// Simplify fraction. Doing so here instead of at the end |
| // allows us to get closer to the target value without overflows |
| </span><span class="kw">let </span>g = Integer::gcd(<span class="kw-2">&</span>n1, <span class="kw-2">&</span>d1); |
| <span class="kw">if </span>!g.is_zero() { |
| n1 = n1 / g.clone(); |
| d1 = d1 / g.clone(); |
| } |
| |
| <span class="comment">// Close enough? |
| </span><span class="kw">let </span>(n_f, d_f) = <span class="kw">match </span>(<F <span class="kw">as </span>NumCast>::from(n), <F <span class="kw">as </span>NumCast>::from(d)) { |
| (<span class="prelude-val">Some</span>(n_f), <span class="prelude-val">Some</span>(d_f)) => (n_f, d_f), |
| <span class="kw">_ </span>=> <span class="kw">break</span>, |
| }; |
| <span class="kw">if </span>(n_f / d_f - val).abs() < max_error { |
| <span class="kw">break</span>; |
| } |
| |
| <span class="comment">// Prevent division by ~0 |
| </span><span class="kw">if </span>f < epsilon { |
| <span class="kw">break</span>; |
| } |
| q = f.recip(); |
| } |
| |
| <span class="comment">// Overflow |
| </span><span class="kw">if </span>d1.is_zero() { |
| <span class="kw">return </span><span class="prelude-val">None</span>; |
| } |
| |
| <span class="prelude-val">Some</span>(Ratio::new(n1, d1)) |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="macro">macro_rules! </span>to_primitive_small { |
| ($(<span class="macro-nonterminal">$type_name</span>:ty)<span class="kw-2">*</span>) => ($( |
| <span class="kw">impl </span>ToPrimitive <span class="kw">for </span>Ratio<<span class="macro-nonterminal">$type_name</span>> { |
| <span class="kw">fn </span>to_i64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i64> { |
| <span class="self">self</span>.to_integer().to_i64() |
| } |
| |
| <span class="kw">fn </span>to_i128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i128> { |
| <span class="self">self</span>.to_integer().to_i128() |
| } |
| |
| <span class="kw">fn </span>to_u64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u64> { |
| <span class="self">self</span>.to_integer().to_u64() |
| } |
| |
| <span class="kw">fn </span>to_u128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u128> { |
| <span class="self">self</span>.to_integer().to_u128() |
| } |
| |
| <span class="kw">fn </span>to_f64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><f64> { |
| <span class="kw">let </span>float = <span class="self">self</span>.numer.to_f64().unwrap() / <span class="self">self</span>.denom.to_f64().unwrap(); |
| <span class="kw">if </span>float.is_nan() { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(float) |
| } |
| } |
| } |
| )<span class="kw-2">*</span>) |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="macro">to_primitive_small!</span>(u8 i8 u16 i16 u32 i32); |
| |
| <span class="attribute">#[cfg(all(target_pointer_width = <span class="string">"32"</span>, not(feature = <span class="string">"num-bigint"</span>)))] |
| </span><span class="macro">to_primitive_small!</span>(usize isize); |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="macro">macro_rules! </span>to_primitive_64 { |
| ($(<span class="macro-nonterminal">$type_name</span>:ty)<span class="kw-2">*</span>) => ($( |
| <span class="kw">impl </span>ToPrimitive <span class="kw">for </span>Ratio<<span class="macro-nonterminal">$type_name</span>> { |
| <span class="kw">fn </span>to_i64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i64> { |
| <span class="self">self</span>.to_integer().to_i64() |
| } |
| |
| <span class="kw">fn </span>to_i128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i128> { |
| <span class="self">self</span>.to_integer().to_i128() |
| } |
| |
| <span class="kw">fn </span>to_u64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u64> { |
| <span class="self">self</span>.to_integer().to_u64() |
| } |
| |
| <span class="kw">fn </span>to_u128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u128> { |
| <span class="self">self</span>.to_integer().to_u128() |
| } |
| |
| <span class="kw">fn </span>to_f64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><f64> { |
| <span class="kw">let </span>float = ratio_to_f64( |
| <span class="self">self</span>.numer <span class="kw">as </span>i128, |
| <span class="self">self</span>.denom <span class="kw">as </span>i128 |
| ); |
| <span class="kw">if </span>float.is_nan() { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(float) |
| } |
| } |
| } |
| )<span class="kw-2">*</span>) |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="macro">to_primitive_64!</span>(u64 i64); |
| |
| <span class="attribute">#[cfg(all(target_pointer_width = <span class="string">"64"</span>, not(feature = <span class="string">"num-bigint"</span>)))] |
| </span><span class="macro">to_primitive_64!</span>(usize isize); |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">impl</span><T: Clone + Integer + ToPrimitive + ToBigInt> ToPrimitive <span class="kw">for </span>Ratio<T> { |
| <span class="kw">fn </span>to_i64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i64> { |
| <span class="self">self</span>.to_integer().to_i64() |
| } |
| |
| <span class="kw">fn </span>to_i128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><i128> { |
| <span class="self">self</span>.to_integer().to_i128() |
| } |
| |
| <span class="kw">fn </span>to_u64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u64> { |
| <span class="self">self</span>.to_integer().to_u64() |
| } |
| |
| <span class="kw">fn </span>to_u128(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><u128> { |
| <span class="self">self</span>.to_integer().to_u128() |
| } |
| |
| <span class="kw">fn </span>to_f64(<span class="kw-2">&</span><span class="self">self</span>) -> <span class="prelude-ty">Option</span><f64> { |
| <span class="kw">let </span>float = <span class="kw">match </span>(<span class="self">self</span>.numer.to_i64(), <span class="self">self</span>.denom.to_i64()) { |
| (<span class="prelude-val">Some</span>(numer), <span class="prelude-val">Some</span>(denom)) => ratio_to_f64( |
| <i128 <span class="kw">as </span>From<<span class="kw">_</span>>>::from(numer), |
| <i128 <span class="kw">as </span>From<<span class="kw">_</span>>>::from(denom), |
| ), |
| <span class="kw">_ </span>=> { |
| <span class="kw">let </span>numer: BigInt = <span class="self">self</span>.numer.to_bigint()<span class="question-mark">?</span>; |
| <span class="kw">let </span>denom: BigInt = <span class="self">self</span>.denom.to_bigint()<span class="question-mark">?</span>; |
| ratio_to_f64(numer, denom) |
| } |
| }; |
| <span class="kw">if </span>float.is_nan() { |
| <span class="prelude-val">None |
| </span>} <span class="kw">else </span>{ |
| <span class="prelude-val">Some</span>(float) |
| } |
| } |
| } |
| |
| <span class="kw">trait </span>Bits { |
| <span class="kw">fn </span>bits(<span class="kw-2">&</span><span class="self">self</span>) -> u64; |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">impl </span>Bits <span class="kw">for </span>BigInt { |
| <span class="kw">fn </span>bits(<span class="kw-2">&</span><span class="self">self</span>) -> u64 { |
| <span class="self">self</span>.bits() |
| } |
| } |
| |
| <span class="kw">impl </span>Bits <span class="kw">for </span>i128 { |
| <span class="kw">fn </span>bits(<span class="kw-2">&</span><span class="self">self</span>) -> u64 { |
| (<span class="number">128 </span>- <span class="self">self</span>.wrapping_abs().leading_zeros()).into() |
| } |
| } |
| |
| <span class="doccomment">/// Converts a ratio of `T` to an f64. |
| /// |
| /// In addition to stated trait bounds, `T` must be able to hold numbers 56 bits larger than |
| /// the largest of `numer` and `denom`. This is automatically true if `T` is `BigInt`. |
| </span><span class="kw">fn </span>ratio_to_f64<T: Bits + Clone + Integer + Signed + ShlAssign<usize> + ToPrimitive>( |
| numer: T, |
| denom: T, |
| ) -> f64 { |
| <span class="macro">assert_eq!</span>( |
| core::f64::RADIX, |
| <span class="number">2</span>, |
| <span class="string">"only floating point implementations with radix 2 are supported" |
| </span>); |
| |
| <span class="comment">// Inclusive upper and lower bounds to the range of exactly-representable ints in an f64. |
| </span><span class="kw">const </span>MAX_EXACT_INT: i64 = <span class="number">1i64 </span><< core::f64::MANTISSA_DIGITS; |
| <span class="kw">const </span>MIN_EXACT_INT: i64 = -MAX_EXACT_INT; |
| |
| <span class="kw">let </span>flo_sign = numer.signum().to_f64().unwrap() / denom.signum().to_f64().unwrap(); |
| <span class="kw">if </span>!flo_sign.is_normal() { |
| <span class="kw">return </span>flo_sign; |
| } |
| |
| <span class="comment">// Fast track: both sides can losslessly be converted to f64s. In this case, letting the |
| // FPU do the job is faster and easier. In any other case, converting to f64s may lead |
| // to an inexact result: https://stackoverflow.com/questions/56641441/. |
| </span><span class="kw">if let </span>(<span class="prelude-val">Some</span>(n), <span class="prelude-val">Some</span>(d)) = (numer.to_i64(), denom.to_i64()) { |
| <span class="kw">if </span>MIN_EXACT_INT <= n && n <= MAX_EXACT_INT && MIN_EXACT_INT <= d && d <= MAX_EXACT_INT { |
| <span class="kw">return </span>n.to_f64().unwrap() / d.to_f64().unwrap(); |
| } |
| } |
| |
| <span class="comment">// Otherwise, the goal is to obtain a quotient with at least 55 bits. 53 of these bits will |
| // be used as the mantissa of the resulting float, and the remaining two are for rounding. |
| // There's an error of up to 1 on the number of resulting bits, so we may get either 55 or |
| // 56 bits. |
| </span><span class="kw">let </span><span class="kw-2">mut </span>numer = numer.abs(); |
| <span class="kw">let </span><span class="kw-2">mut </span>denom = denom.abs(); |
| <span class="kw">let </span>(is_diff_positive, absolute_diff) = <span class="kw">match </span>numer.bits().checked_sub(denom.bits()) { |
| <span class="prelude-val">Some</span>(diff) => (<span class="bool-val">true</span>, diff), |
| <span class="prelude-val">None </span>=> (<span class="bool-val">false</span>, denom.bits() - numer.bits()), |
| }; |
| |
| <span class="comment">// Filter out overflows and underflows. After this step, the signed difference fits in an |
| // isize. |
| </span><span class="kw">if </span>is_diff_positive && absolute_diff > core::f64::MAX_EXP <span class="kw">as </span>u64 { |
| <span class="kw">return </span>core::f64::INFINITY * flo_sign; |
| } |
| <span class="kw">if </span>!is_diff_positive |
| && absolute_diff > -core::f64::MIN_EXP <span class="kw">as </span>u64 + core::f64::MANTISSA_DIGITS <span class="kw">as </span>u64 + <span class="number">1 |
| </span>{ |
| <span class="kw">return </span><span class="number">0.0 </span>* flo_sign; |
| } |
| <span class="kw">let </span>diff = <span class="kw">if </span>is_diff_positive { |
| absolute_diff.to_isize().unwrap() |
| } <span class="kw">else </span>{ |
| -absolute_diff.to_isize().unwrap() |
| }; |
| |
| <span class="comment">// Shift is chosen so that the quotient will have 55 or 56 bits. The exception is if the |
| // quotient is going to be subnormal, in which case it may have fewer bits. |
| </span><span class="kw">let </span>shift: isize = |
| diff.max(core::f64::MIN_EXP <span class="kw">as </span>isize) - core::f64::MANTISSA_DIGITS <span class="kw">as </span>isize - <span class="number">2</span>; |
| <span class="kw">if </span>shift >= <span class="number">0 </span>{ |
| denom <<= shift <span class="kw">as </span>usize |
| } <span class="kw">else </span>{ |
| numer <<= -shift <span class="kw">as </span>usize |
| }; |
| |
| <span class="kw">let </span>(quotient, remainder) = numer.div_rem(<span class="kw-2">&</span>denom); |
| |
| <span class="comment">// This is guaranteed to fit since we've set up quotient to be at most 56 bits. |
| </span><span class="kw">let </span><span class="kw-2">mut </span>quotient = quotient.to_u64().unwrap(); |
| <span class="kw">let </span>n_rounding_bits = { |
| <span class="kw">let </span>quotient_bits = <span class="number">64 </span>- quotient.leading_zeros() <span class="kw">as </span>isize; |
| <span class="kw">let </span>subnormal_bits = core::f64::MIN_EXP <span class="kw">as </span>isize - shift; |
| quotient_bits.max(subnormal_bits) - core::f64::MANTISSA_DIGITS <span class="kw">as </span>isize |
| } <span class="kw">as </span>usize; |
| <span class="macro">debug_assert!</span>(n_rounding_bits == <span class="number">2 </span>|| n_rounding_bits == <span class="number">3</span>); |
| <span class="kw">let </span>rounding_bit_mask = (<span class="number">1u64 </span><< n_rounding_bits) - <span class="number">1</span>; |
| |
| <span class="comment">// Round to 53 bits with round-to-even. For rounding, we need to take into account both |
| // our rounding bits and the division's remainder. |
| </span><span class="kw">let </span>ls_bit = quotient & (<span class="number">1u64 </span><< n_rounding_bits) != <span class="number">0</span>; |
| <span class="kw">let </span>ms_rounding_bit = quotient & (<span class="number">1u64 </span><< (n_rounding_bits - <span class="number">1</span>)) != <span class="number">0</span>; |
| <span class="kw">let </span>ls_rounding_bits = quotient & (rounding_bit_mask >> <span class="number">1</span>) != <span class="number">0</span>; |
| <span class="kw">if </span>ms_rounding_bit && (ls_bit || ls_rounding_bits || !remainder.is_zero()) { |
| quotient += <span class="number">1u64 </span><< n_rounding_bits; |
| } |
| quotient &= !rounding_bit_mask; |
| |
| <span class="comment">// The quotient is guaranteed to be exactly representable as it's now 53 bits + 2 or 3 |
| // trailing zeros, so there is no risk of a rounding error here. |
| </span><span class="kw">let </span>q_float = quotient <span class="kw">as </span>f64; |
| q_float * <span class="number">2f64</span>.powi(shift <span class="kw">as </span>i32) * flo_sign |
| } |
| |
| <span class="attribute">#[cfg(test)] |
| #[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">fn </span>hash<T: Hash>(x: <span class="kw-2">&</span>T) -> u64 { |
| <span class="kw">use </span>std::collections::hash_map::RandomState; |
| <span class="kw">use </span>std::hash::BuildHasher; |
| <span class="kw">let </span><span class="kw-2">mut </span>hasher = <RandomState <span class="kw">as </span>BuildHasher>::Hasher::new(); |
| x.hash(<span class="kw-2">&mut </span>hasher); |
| hasher.finish() |
| } |
| |
| <span class="attribute">#[cfg(test)] |
| </span><span class="kw">mod </span>test { |
| <span class="attribute">#[cfg(all(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="kw">use </span><span class="kw">super</span>::BigInt; |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">use </span><span class="kw">super</span>::BigRational; |
| <span class="kw">use super</span>::{Ratio, Rational, Rational64}; |
| |
| <span class="kw">use </span>core::f64; |
| <span class="kw">use </span>core::i32; |
| <span class="kw">use </span>core::isize; |
| <span class="kw">use </span>core::str::FromStr; |
| <span class="kw">use </span>num_integer::Integer; |
| <span class="kw">use </span>num_traits::ToPrimitive; |
| <span class="kw">use </span>num_traits::{FromPrimitive, One, Pow, Signed, Zero}; |
| |
| <span class="kw">pub const </span>_0: Rational = Ratio { numer: <span class="number">0</span>, denom: <span class="number">1 </span>}; |
| <span class="kw">pub const </span>_1: Rational = Ratio { numer: <span class="number">1</span>, denom: <span class="number">1 </span>}; |
| <span class="kw">pub const </span>_2: Rational = Ratio { numer: <span class="number">2</span>, denom: <span class="number">1 </span>}; |
| <span class="kw">pub const </span>_NEG2: Rational = Ratio { |
| numer: -<span class="number">2</span>, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_8: Rational = Ratio { numer: <span class="number">8</span>, denom: <span class="number">1 </span>}; |
| <span class="kw">pub const </span>_15: Rational = Ratio { |
| numer: <span class="number">15</span>, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_16: Rational = Ratio { |
| numer: <span class="number">16</span>, |
| denom: <span class="number">1</span>, |
| }; |
| |
| <span class="kw">pub const </span>_1_2: Rational = Ratio { numer: <span class="number">1</span>, denom: <span class="number">2 </span>}; |
| <span class="kw">pub const </span>_1_8: Rational = Ratio { numer: <span class="number">1</span>, denom: <span class="number">8 </span>}; |
| <span class="kw">pub const </span>_1_15: Rational = Ratio { |
| numer: <span class="number">1</span>, |
| denom: <span class="number">15</span>, |
| }; |
| <span class="kw">pub const </span>_1_16: Rational = Ratio { |
| numer: <span class="number">1</span>, |
| denom: <span class="number">16</span>, |
| }; |
| <span class="kw">pub const </span>_3_2: Rational = Ratio { numer: <span class="number">3</span>, denom: <span class="number">2 </span>}; |
| <span class="kw">pub const </span>_5_2: Rational = Ratio { numer: <span class="number">5</span>, denom: <span class="number">2 </span>}; |
| <span class="kw">pub const </span>_NEG1_2: Rational = Ratio { |
| numer: -<span class="number">1</span>, |
| denom: <span class="number">2</span>, |
| }; |
| <span class="kw">pub const </span>_1_NEG2: Rational = Ratio { |
| numer: <span class="number">1</span>, |
| denom: -<span class="number">2</span>, |
| }; |
| <span class="kw">pub const </span>_NEG1_NEG2: Rational = Ratio { |
| numer: -<span class="number">1</span>, |
| denom: -<span class="number">2</span>, |
| }; |
| <span class="kw">pub const </span>_1_3: Rational = Ratio { numer: <span class="number">1</span>, denom: <span class="number">3 </span>}; |
| <span class="kw">pub const </span>_NEG1_3: Rational = Ratio { |
| numer: -<span class="number">1</span>, |
| denom: <span class="number">3</span>, |
| }; |
| <span class="kw">pub const </span>_2_3: Rational = Ratio { numer: <span class="number">2</span>, denom: <span class="number">3 </span>}; |
| <span class="kw">pub const </span>_NEG2_3: Rational = Ratio { |
| numer: -<span class="number">2</span>, |
| denom: <span class="number">3</span>, |
| }; |
| <span class="kw">pub const </span>_MIN: Rational = Ratio { |
| numer: isize::MIN, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_MIN_P1: Rational = Ratio { |
| numer: isize::MIN + <span class="number">1</span>, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_MAX: Rational = Ratio { |
| numer: isize::MAX, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_MAX_M1: Rational = Ratio { |
| numer: isize::MAX - <span class="number">1</span>, |
| denom: <span class="number">1</span>, |
| }; |
| <span class="kw">pub const </span>_BILLION: Rational = Ratio { |
| numer: <span class="number">1_000_000_000</span>, |
| denom: <span class="number">1</span>, |
| }; |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">pub fn </span>to_big(n: Rational) -> BigRational { |
| Ratio::new( |
| FromPrimitive::from_isize(n.numer).unwrap(), |
| FromPrimitive::from_isize(n.denom).unwrap(), |
| ) |
| } |
| <span class="attribute">#[cfg(not(feature = <span class="string">"num-bigint"</span>))] |
| </span><span class="kw">pub fn </span>to_big(n: Rational) -> Rational { |
| Ratio::new( |
| FromPrimitive::from_isize(n.numer).unwrap(), |
| FromPrimitive::from_isize(n.denom).unwrap(), |
| ) |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_test_constants() { |
| <span class="comment">// check our constants are what Ratio::new etc. would make. |
| </span><span class="macro">assert_eq!</span>(_0, Zero::zero()); |
| <span class="macro">assert_eq!</span>(_1, One::one()); |
| <span class="macro">assert_eq!</span>(_2, Ratio::from_integer(<span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(_1_2, Ratio::new(<span class="number">1</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(_3_2, Ratio::new(<span class="number">3</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(_NEG1_2, Ratio::new(-<span class="number">1</span>, <span class="number">2</span>)); |
| <span class="macro">assert_eq!</span>(_2, From::from(<span class="number">2</span>)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_new_reduce() { |
| <span class="macro">assert_eq!</span>(Ratio::new(<span class="number">2</span>, <span class="number">2</span>), One::one()); |
| <span class="macro">assert_eq!</span>(Ratio::new(<span class="number">0</span>, i32::MIN), Zero::zero()); |
| <span class="macro">assert_eq!</span>(Ratio::new(i32::MIN, i32::MIN), One::one()); |
| } |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">fn </span>test_new_zero() { |
| <span class="kw">let </span>_a = Ratio::new(<span class="number">1</span>, <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_approximate_float() { |
| <span class="macro">assert_eq!</span>(Ratio::from_f32(<span class="number">0.5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">1i64</span>, <span class="number">2</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::from_f64(<span class="number">0.5f64</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">1i32</span>, <span class="number">2</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::from_f32(<span class="number">5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">5i64</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::from_f64(<span class="number">5f64</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">5i32</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::from_f32(<span class="number">29.97f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">2997i64</span>, <span class="number">100</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::from_f32(-<span class="number">29.97f32</span>), <span class="prelude-val">Some</span>(Ratio::new(-<span class="number">2997i64</span>, <span class="number">100</span>))); |
| |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(<span class="number">63.5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">127i8</span>, <span class="number">2</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(<span class="number">126.5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">126i8</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(<span class="number">127.0f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">127i8</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(<span class="number">127.5f32</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(-<span class="number">63.5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(-<span class="number">127i8</span>, <span class="number">2</span>))); |
| <span class="macro">assert_eq!</span>( |
| Ratio::<i8>::from_f32(-<span class="number">126.5f32</span>), |
| <span class="prelude-val">Some</span>(Ratio::new(-<span class="number">126i8</span>, <span class="number">1</span>)) |
| ); |
| <span class="macro">assert_eq!</span>( |
| Ratio::<i8>::from_f32(-<span class="number">127.0f32</span>), |
| <span class="prelude-val">Some</span>(Ratio::new(-<span class="number">127i8</span>, <span class="number">1</span>)) |
| ); |
| <span class="macro">assert_eq!</span>(Ratio::<i8>::from_f32(-<span class="number">127.5f32</span>), <span class="prelude-val">None</span>); |
| |
| <span class="macro">assert_eq!</span>(Ratio::<u8>::from_f32(-<span class="number">127f32</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<u8>::from_f32(<span class="number">127f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">127u8</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<u8>::from_f32(<span class="number">127.5f32</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">255u8</span>, <span class="number">2</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<u8>::from_f32(<span class="number">256f32</span>), <span class="prelude-val">None</span>); |
| |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(-<span class="number">10e200</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(<span class="number">10e200</span>), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(f64::INFINITY), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(f64::NEG_INFINITY), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(f64::NAN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>( |
| Ratio::<i64>::from_f64(f64::EPSILON), |
| <span class="prelude-val">Some</span>(Ratio::new(<span class="number">1</span>, <span class="number">4503599627370496</span>)) |
| ); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(<span class="number">0.0</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">0</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(Ratio::<i64>::from_f64(-<span class="number">0.0</span>), <span class="prelude-val">Some</span>(Ratio::new(<span class="number">0</span>, <span class="number">1</span>))); |
| } |
| |
| <span class="attribute">#[test] |
| #[allow(clippy::eq_op)] |
| </span><span class="kw">fn </span>test_cmp() { |
| <span class="macro">assert!</span>(_0 == _0 && _1 == _1); |
| <span class="macro">assert!</span>(_0 != _1 && _1 != _0); |
| <span class="macro">assert!</span>(_0 < _1 && !(_1 < _0)); |
| <span class="macro">assert!</span>(_1 > _0 && !(_0 > _1)); |
| |
| <span class="macro">assert!</span>(_0 <= _0 && _1 <= _1); |
| <span class="macro">assert!</span>(_0 <= _1 && !(_1 <= _0)); |
| |
| <span class="macro">assert!</span>(_0 >= _0 && _1 >= _1); |
| <span class="macro">assert!</span>(_1 >= _0 && !(_0 >= _1)); |
| |
| <span class="kw">let </span>_0_2: Rational = Ratio::new_raw(<span class="number">0</span>, <span class="number">2</span>); |
| <span class="macro">assert_eq!</span>(_0, _0_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_cmp_overflow() { |
| <span class="kw">use </span>core::cmp::Ordering; |
| |
| <span class="comment">// issue #7 example: |
| </span><span class="kw">let </span>big = Ratio::new(<span class="number">128u8</span>, <span class="number">1</span>); |
| <span class="kw">let </span>small = big.recip(); |
| <span class="macro">assert!</span>(big > small); |
| |
| <span class="comment">// try a few that are closer together |
| // (some matching numer, some matching denom, some neither) |
| </span><span class="kw">let </span>ratios = [ |
| Ratio::new(<span class="number">125_i8</span>, <span class="number">127_i8</span>), |
| Ratio::new(<span class="number">63_i8</span>, <span class="number">64_i8</span>), |
| Ratio::new(<span class="number">124_i8</span>, <span class="number">125_i8</span>), |
| Ratio::new(<span class="number">125_i8</span>, <span class="number">126_i8</span>), |
| Ratio::new(<span class="number">126_i8</span>, <span class="number">127_i8</span>), |
| Ratio::new(<span class="number">127_i8</span>, <span class="number">126_i8</span>), |
| ]; |
| |
| <span class="kw">fn </span>check_cmp(a: Ratio<i8>, b: Ratio<i8>, ord: Ordering) { |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">println!</span>(<span class="string">"comparing {} and {}"</span>, a, b); |
| <span class="macro">assert_eq!</span>(a.cmp(<span class="kw-2">&</span>b), ord); |
| <span class="macro">assert_eq!</span>(b.cmp(<span class="kw-2">&</span>a), ord.reverse()); |
| } |
| |
| <span class="kw">for </span>(i, <span class="kw-2">&</span>a) <span class="kw">in </span>ratios.iter().enumerate() { |
| check_cmp(a, a, Ordering::Equal); |
| check_cmp(-a, a, Ordering::Less); |
| <span class="kw">for </span><span class="kw-2">&</span>b <span class="kw">in </span><span class="kw-2">&</span>ratios[i + <span class="number">1</span>..] { |
| check_cmp(a, b, Ordering::Less); |
| check_cmp(-a, -b, Ordering::Greater); |
| check_cmp(a.recip(), b.recip(), Ordering::Greater); |
| check_cmp(-a.recip(), -b.recip(), Ordering::Less); |
| } |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_to_integer() { |
| <span class="macro">assert_eq!</span>(_0.to_integer(), <span class="number">0</span>); |
| <span class="macro">assert_eq!</span>(_1.to_integer(), <span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_2.to_integer(), <span class="number">2</span>); |
| <span class="macro">assert_eq!</span>(_1_2.to_integer(), <span class="number">0</span>); |
| <span class="macro">assert_eq!</span>(_3_2.to_integer(), <span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_NEG1_2.to_integer(), <span class="number">0</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_numer() { |
| <span class="macro">assert_eq!</span>(_0.numer(), <span class="kw-2">&</span><span class="number">0</span>); |
| <span class="macro">assert_eq!</span>(_1.numer(), <span class="kw-2">&</span><span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_2.numer(), <span class="kw-2">&</span><span class="number">2</span>); |
| <span class="macro">assert_eq!</span>(_1_2.numer(), <span class="kw-2">&</span><span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_3_2.numer(), <span class="kw-2">&</span><span class="number">3</span>); |
| <span class="macro">assert_eq!</span>(_NEG1_2.numer(), <span class="kw-2">&</span>(-<span class="number">1</span>)); |
| } |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_denom() { |
| <span class="macro">assert_eq!</span>(_0.denom(), <span class="kw-2">&</span><span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_1.denom(), <span class="kw-2">&</span><span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_2.denom(), <span class="kw-2">&</span><span class="number">1</span>); |
| <span class="macro">assert_eq!</span>(_1_2.denom(), <span class="kw-2">&</span><span class="number">2</span>); |
| <span class="macro">assert_eq!</span>(_3_2.denom(), <span class="kw-2">&</span><span class="number">2</span>); |
| <span class="macro">assert_eq!</span>(_NEG1_2.denom(), <span class="kw-2">&</span><span class="number">2</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_is_integer() { |
| <span class="macro">assert!</span>(_0.is_integer()); |
| <span class="macro">assert!</span>(_1.is_integer()); |
| <span class="macro">assert!</span>(_2.is_integer()); |
| <span class="macro">assert!</span>(!_1_2.is_integer()); |
| <span class="macro">assert!</span>(!_3_2.is_integer()); |
| <span class="macro">assert!</span>(!_NEG1_2.is_integer()); |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span><span class="kw">use </span>core::fmt::{<span class="self">self</span>, Write}; |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| #[derive(Debug)] |
| </span><span class="kw">struct </span>NoStdTester { |
| cursor: usize, |
| buf: [u8; NoStdTester::BUF_SIZE], |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span><span class="kw">impl </span>NoStdTester { |
| <span class="kw">fn </span>new() -> NoStdTester { |
| NoStdTester { |
| buf: [<span class="number">0</span>; <span class="self">Self</span>::BUF_SIZE], |
| cursor: <span class="number">0</span>, |
| } |
| } |
| |
| <span class="kw">fn </span>clear(<span class="kw-2">&mut </span><span class="self">self</span>) { |
| <span class="self">self</span>.buf = [<span class="number">0</span>; <span class="self">Self</span>::BUF_SIZE]; |
| <span class="self">self</span>.cursor = <span class="number">0</span>; |
| } |
| |
| <span class="kw">const </span>WRITE_ERR: <span class="kw-2">&</span><span class="lifetime">'static </span>str = <span class="string">"Formatted output too long"</span>; |
| <span class="kw">const </span>BUF_SIZE: usize = <span class="number">32</span>; |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span><span class="kw">impl </span>Write <span class="kw">for </span>NoStdTester { |
| <span class="kw">fn </span>write_str(<span class="kw-2">&mut </span><span class="self">self</span>, s: <span class="kw-2">&</span>str) -> fmt::Result { |
| <span class="kw">for </span>byte <span class="kw">in </span>s.bytes() { |
| <span class="self">self</span>.buf[<span class="self">self</span>.cursor] = byte; |
| <span class="self">self</span>.cursor += <span class="number">1</span>; |
| <span class="kw">if </span><span class="self">self</span>.cursor >= <span class="self">self</span>.buf.len() { |
| <span class="kw">return </span><span class="prelude-val">Err</span>(fmt::Error {}); |
| } |
| } |
| <span class="prelude-val">Ok</span>(()) |
| } |
| } |
| |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span><span class="kw">impl </span>PartialEq<str> <span class="kw">for </span>NoStdTester { |
| <span class="kw">fn </span>eq(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span>str) -> bool { |
| <span class="kw">let </span>other = other.as_bytes(); |
| <span class="kw">for </span>index <span class="kw">in </span><span class="number">0</span>..<span class="self">self</span>.cursor { |
| <span class="kw">if </span><span class="self">self</span>.buf.get(index) != other.get(index) { |
| <span class="kw">return </span><span class="bool-val">false</span>; |
| } |
| } |
| <span class="bool-val">true |
| </span>} |
| } |
| |
| <span class="macro">macro_rules! </span>assert_fmt_eq { |
| (<span class="macro-nonterminal">$fmt_args</span>:expr, <span class="macro-nonterminal">$string</span>:expr) => { |
| <span class="attribute">#[cfg(not(feature = <span class="string">"std"</span>))] |
| </span>{ |
| <span class="kw">let </span><span class="kw-2">mut </span>tester = NoStdTester::new(); |
| <span class="macro">write!</span>(tester, <span class="string">"{}"</span>, <span class="macro-nonterminal">$fmt_args</span>).expect(NoStdTester::WRITE_ERR); |
| <span class="macro">assert_eq!</span>(tester, <span class="kw-2">*</span><span class="macro-nonterminal">$string</span>); |
| tester.clear(); |
| } |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span>{ |
| <span class="macro">assert_eq!</span>(std::fmt::format(<span class="macro-nonterminal">$fmt_args</span>), <span class="macro-nonterminal">$string</span>); |
| } |
| }; |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_show() { |
| <span class="comment">// Test: |
| // :b :o :x, :X, :? |
| // alternate or not (#) |
| // positive and negative |
| // padding |
| // does not test precision (i.e. truncation) |
| </span><span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{}"</span>, _2), <span class="string">"2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+}"</span>, _2), <span class="string">"+2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:-}"</span>, _2), <span class="string">"2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{}"</span>, _1_2), <span class="string">"1/2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{}"</span>, -_1_2), <span class="string">"-1/2"</span>); <span class="comment">// test negatives |
| </span><span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{}"</span>, _0), <span class="string">"0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{}"</span>, -_2), <span class="string">"-2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+}"</span>, -_2), <span class="string">"-2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:b}"</span>, _2), <span class="string">"10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#b}"</span>, _2), <span class="string">"0b10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:b}"</span>, _1_2), <span class="string">"1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+b}"</span>, _1_2), <span class="string">"+1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:-b}"</span>, _1_2), <span class="string">"1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:b}"</span>, _0), <span class="string">"0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#b}"</span>, _1_2), <span class="string">"0b1/0b10"</span>); |
| <span class="comment">// no std does not support padding |
| </span><span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:010b}"</span>, _1_2), <span class="string">"0000001/10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:#010b}"</span>, _1_2), <span class="string">"0b001/0b10"</span>); |
| <span class="kw">let </span>half_i8: Ratio<i8> = Ratio::new(<span class="number">1_i8</span>, <span class="number">2_i8</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:b}"</span>, -half_i8), <span class="string">"11111111/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#b}"</span>, -half_i8), <span class="string">"0b11111111/0b10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:05}"</span>, Ratio::new(-<span class="number">1_i8</span>, <span class="number">1_i8</span>)), <span class="string">"-0001"</span>); |
| |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:o}"</span>, _8), <span class="string">"10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:o}"</span>, _1_8), <span class="string">"1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:o}"</span>, _0), <span class="string">"0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#o}"</span>, _1_8), <span class="string">"0o1/0o10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:010o}"</span>, _1_8), <span class="string">"0000001/10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:#010o}"</span>, _1_8), <span class="string">"0o001/0o10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:o}"</span>, -half_i8), <span class="string">"377/2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#o}"</span>, -half_i8), <span class="string">"0o377/0o2"</span>); |
| |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, _16), <span class="string">"10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, _15), <span class="string">"f"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, _1_16), <span class="string">"1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, _1_15), <span class="string">"1/f"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, _0), <span class="string">"0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#x}"</span>, _1_16), <span class="string">"0x1/0x10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:010x}"</span>, _1_16), <span class="string">"0000001/10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="kw-2">&</span><span class="macro">format!</span>(<span class="string">"{:#010x}"</span>, _1_16), <span class="string">"0x001/0x10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:x}"</span>, -half_i8), <span class="string">"ff/2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#x}"</span>, -half_i8), <span class="string">"0xff/0x2"</span>); |
| |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, _16), <span class="string">"10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, _15), <span class="string">"F"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, _1_16), <span class="string">"1/10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, _1_15), <span class="string">"1/F"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, _0), <span class="string">"0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#X}"</span>, _1_16), <span class="string">"0x1/0x10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="macro">format!</span>(<span class="string">"{:010X}"</span>, _1_16), <span class="string">"0000001/10"</span>); |
| <span class="attribute">#[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="macro">assert_eq!</span>(<span class="macro">format!</span>(<span class="string">"{:#010X}"</span>, _1_16), <span class="string">"0x001/0x10"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:X}"</span>, -half_i8), <span class="string">"FF/2"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#X}"</span>, -half_i8), <span class="string">"0xFF/0x2"</span>); |
| |
| <span class="attribute">#[cfg(has_int_exp_fmt)] |
| </span>{ |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:e}"</span>, -_2), <span class="string">"-2e0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#e}"</span>, -_2), <span class="string">"-2e0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+e}"</span>, -_2), <span class="string">"-2e0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:e}"</span>, _BILLION), <span class="string">"1e9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+e}"</span>, _BILLION), <span class="string">"+1e9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:e}"</span>, _BILLION.recip()), <span class="string">"1e0/1e9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+e}"</span>, _BILLION.recip()), <span class="string">"+1e0/1e9"</span>); |
| |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:E}"</span>, -_2), <span class="string">"-2E0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:#E}"</span>, -_2), <span class="string">"-2E0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+E}"</span>, -_2), <span class="string">"-2E0"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:E}"</span>, _BILLION), <span class="string">"1E9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+E}"</span>, _BILLION), <span class="string">"+1E9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:E}"</span>, _BILLION.recip()), <span class="string">"1E0/1E9"</span>); |
| <span class="macro">assert_fmt_eq!</span>(<span class="macro">format_args!</span>(<span class="string">"{:+E}"</span>, _BILLION.recip()), <span class="string">"+1E0/1E9"</span>); |
| } |
| } |
| |
| <span class="kw">mod </span>arith { |
| <span class="kw">use </span><span class="kw">super</span>::<span class="kw">super</span>::{Ratio, Rational}; |
| <span class="kw">use super</span>::{to_big, _0, _1, _1_2, _2, _3_2, _5_2, _MAX, _MAX_M1, _MIN, _MIN_P1, _NEG1_2}; |
| <span class="kw">use </span>core::fmt::Debug; |
| <span class="kw">use </span>num_integer::Integer; |
| <span class="kw">use </span>num_traits::{Bounded, CheckedAdd, CheckedDiv, CheckedMul, CheckedSub, NumAssign}; |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_add() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational, c: Rational) { |
| <span class="macro">assert_eq!</span>(a + b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x += b; |
| x |
| }, |
| c |
| ); |
| <span class="macro">assert_eq!</span>(to_big(a) + to_big(b), to_big(c)); |
| <span class="macro">assert_eq!</span>(a.checked_add(<span class="kw-2">&</span>b), <span class="prelude-val">Some</span>(c)); |
| <span class="macro">assert_eq!</span>(to_big(a).checked_add(<span class="kw-2">&</span>to_big(b)), <span class="prelude-val">Some</span>(to_big(c))); |
| } |
| <span class="kw">fn </span>test_assign(a: Rational, b: isize, c: Rational) { |
| <span class="macro">assert_eq!</span>(a + b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x += b; |
| x |
| }, |
| c |
| ); |
| } |
| |
| test(_1, _1_2, _3_2); |
| test(_1, _1, _2); |
| test(_1_2, _3_2, _2); |
| test(_1_2, _NEG1_2, _0); |
| test_assign(_1_2, <span class="number">1</span>, _3_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_add_overflow() { |
| <span class="comment">// compares Ratio(1, T::max_value()) + Ratio(1, T::max_value()) |
| // to Ratio(1+1, T::max_value()) for each integer type. |
| // Previously, this calculation would overflow. |
| </span><span class="kw">fn </span>test_add_typed_overflow<T>() |
| <span class="kw">where |
| </span>T: Integer + Bounded + Clone + Debug + NumAssign, |
| { |
| <span class="kw">let </span>_1_max = Ratio::new(T::one(), T::max_value()); |
| <span class="kw">let </span>_2_max = Ratio::new(T::one() + T::one(), T::max_value()); |
| <span class="macro">assert_eq!</span>(_1_max.clone() + _1_max.clone(), _2_max); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = _1_max.clone(); |
| tmp += _1_max; |
| tmp |
| }, |
| _2_max |
| ); |
| } |
| test_add_typed_overflow::<u8>(); |
| test_add_typed_overflow::<u16>(); |
| test_add_typed_overflow::<u32>(); |
| test_add_typed_overflow::<u64>(); |
| test_add_typed_overflow::<usize>(); |
| test_add_typed_overflow::<u128>(); |
| |
| test_add_typed_overflow::<i8>(); |
| test_add_typed_overflow::<i16>(); |
| test_add_typed_overflow::<i32>(); |
| test_add_typed_overflow::<i64>(); |
| test_add_typed_overflow::<isize>(); |
| test_add_typed_overflow::<i128>(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_sub() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational, c: Rational) { |
| <span class="macro">assert_eq!</span>(a - b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x -= b; |
| x |
| }, |
| c |
| ); |
| <span class="macro">assert_eq!</span>(to_big(a) - to_big(b), to_big(c)); |
| <span class="macro">assert_eq!</span>(a.checked_sub(<span class="kw-2">&</span>b), <span class="prelude-val">Some</span>(c)); |
| <span class="macro">assert_eq!</span>(to_big(a).checked_sub(<span class="kw-2">&</span>to_big(b)), <span class="prelude-val">Some</span>(to_big(c))); |
| } |
| <span class="kw">fn </span>test_assign(a: Rational, b: isize, c: Rational) { |
| <span class="macro">assert_eq!</span>(a - b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x -= b; |
| x |
| }, |
| c |
| ); |
| } |
| |
| test(_1, _1_2, _1_2); |
| test(_3_2, _1_2, _1); |
| test(_1, _NEG1_2, _3_2); |
| test_assign(_1_2, <span class="number">1</span>, _NEG1_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_sub_overflow() { |
| <span class="comment">// compares Ratio(1, T::max_value()) - Ratio(1, T::max_value()) to T::zero() |
| // for each integer type. Previously, this calculation would overflow. |
| </span><span class="kw">fn </span>test_sub_typed_overflow<T>() |
| <span class="kw">where |
| </span>T: Integer + Bounded + Clone + Debug + NumAssign, |
| { |
| <span class="kw">let </span>_1_max: Ratio<T> = Ratio::new(T::one(), T::max_value()); |
| <span class="macro">assert!</span>(T::is_zero(<span class="kw-2">&</span>(_1_max.clone() - _1_max.clone()).numer)); |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp: Ratio<T> = _1_max.clone(); |
| tmp -= _1_max; |
| <span class="macro">assert!</span>(T::is_zero(<span class="kw-2">&</span>tmp.numer)); |
| } |
| } |
| test_sub_typed_overflow::<u8>(); |
| test_sub_typed_overflow::<u16>(); |
| test_sub_typed_overflow::<u32>(); |
| test_sub_typed_overflow::<u64>(); |
| test_sub_typed_overflow::<usize>(); |
| test_sub_typed_overflow::<u128>(); |
| |
| test_sub_typed_overflow::<i8>(); |
| test_sub_typed_overflow::<i16>(); |
| test_sub_typed_overflow::<i32>(); |
| test_sub_typed_overflow::<i64>(); |
| test_sub_typed_overflow::<isize>(); |
| test_sub_typed_overflow::<i128>(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_mul() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational, c: Rational) { |
| <span class="macro">assert_eq!</span>(a * b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x <span class="kw-2">*</span>= b; |
| x |
| }, |
| c |
| ); |
| <span class="macro">assert_eq!</span>(to_big(a) * to_big(b), to_big(c)); |
| <span class="macro">assert_eq!</span>(a.checked_mul(<span class="kw-2">&</span>b), <span class="prelude-val">Some</span>(c)); |
| <span class="macro">assert_eq!</span>(to_big(a).checked_mul(<span class="kw-2">&</span>to_big(b)), <span class="prelude-val">Some</span>(to_big(c))); |
| } |
| <span class="kw">fn </span>test_assign(a: Rational, b: isize, c: Rational) { |
| <span class="macro">assert_eq!</span>(a * b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x <span class="kw-2">*</span>= b; |
| x |
| }, |
| c |
| ); |
| } |
| |
| test(_1, _1_2, _1_2); |
| test(_1_2, _3_2, Ratio::new(<span class="number">3</span>, <span class="number">4</span>)); |
| test(_1_2, _NEG1_2, Ratio::new(-<span class="number">1</span>, <span class="number">4</span>)); |
| test_assign(_1_2, <span class="number">2</span>, _1); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_mul_overflow() { |
| <span class="kw">fn </span>test_mul_typed_overflow<T>() |
| <span class="kw">where |
| </span>T: Integer + Bounded + Clone + Debug + NumAssign + CheckedMul, |
| { |
| <span class="kw">let </span>two = T::one() + T::one(); |
| <span class="kw">let </span>_3 = T::one() + T::one() + T::one(); |
| |
| <span class="comment">// 1/big * 2/3 = 1/(max/4*3), where big is max/2 |
| // make big = max/2, but also divisible by 2 |
| </span><span class="kw">let </span>big = T::max_value() / two.clone() / two.clone() * two.clone(); |
| <span class="kw">let </span>_1_big: Ratio<T> = Ratio::new(T::one(), big.clone()); |
| <span class="kw">let </span>_2_3: Ratio<T> = Ratio::new(two.clone(), _3.clone()); |
| <span class="macro">assert_eq!</span>(<span class="prelude-val">None</span>, big.clone().checked_mul(<span class="kw-2">&</span>_3.clone())); |
| <span class="kw">let </span>expected = Ratio::new(T::one(), big / two.clone() * _3.clone()); |
| <span class="macro">assert_eq!</span>(expected.clone(), _1_big.clone() * _2_3.clone()); |
| <span class="macro">assert_eq!</span>( |
| <span class="prelude-val">Some</span>(expected.clone()), |
| _1_big.clone().checked_mul(<span class="kw-2">&</span>_2_3.clone()) |
| ); |
| <span class="macro">assert_eq!</span>(expected, { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = _1_big; |
| tmp <span class="kw-2">*</span>= _2_3; |
| tmp |
| }); |
| |
| <span class="comment">// big/3 * 3 = big/1 |
| // make big = max/2, but make it indivisible by 3 |
| </span><span class="kw">let </span>big = T::max_value() / two / _3.clone() * _3.clone() + T::one(); |
| <span class="macro">assert_eq!</span>(<span class="prelude-val">None</span>, big.clone().checked_mul(<span class="kw-2">&</span>_3.clone())); |
| <span class="kw">let </span>big_3 = Ratio::new(big.clone(), _3.clone()); |
| <span class="kw">let </span>expected = Ratio::new(big, T::one()); |
| <span class="macro">assert_eq!</span>(expected, big_3.clone() * _3.clone()); |
| <span class="macro">assert_eq!</span>(expected, { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = big_3; |
| tmp <span class="kw-2">*</span>= _3; |
| tmp |
| }); |
| } |
| test_mul_typed_overflow::<u16>(); |
| test_mul_typed_overflow::<u8>(); |
| test_mul_typed_overflow::<u32>(); |
| test_mul_typed_overflow::<u64>(); |
| test_mul_typed_overflow::<usize>(); |
| test_mul_typed_overflow::<u128>(); |
| |
| test_mul_typed_overflow::<i8>(); |
| test_mul_typed_overflow::<i16>(); |
| test_mul_typed_overflow::<i32>(); |
| test_mul_typed_overflow::<i64>(); |
| test_mul_typed_overflow::<isize>(); |
| test_mul_typed_overflow::<i128>(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_div() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational, c: Rational) { |
| <span class="macro">assert_eq!</span>(a / b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x /= b; |
| x |
| }, |
| c |
| ); |
| <span class="macro">assert_eq!</span>(to_big(a) / to_big(b), to_big(c)); |
| <span class="macro">assert_eq!</span>(a.checked_div(<span class="kw-2">&</span>b), <span class="prelude-val">Some</span>(c)); |
| <span class="macro">assert_eq!</span>(to_big(a).checked_div(<span class="kw-2">&</span>to_big(b)), <span class="prelude-val">Some</span>(to_big(c))); |
| } |
| <span class="kw">fn </span>test_assign(a: Rational, b: isize, c: Rational) { |
| <span class="macro">assert_eq!</span>(a / b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x /= b; |
| x |
| }, |
| c |
| ); |
| } |
| |
| test(_1, _1_2, _2); |
| test(_3_2, _1_2, _1 + _2); |
| test(_1, _NEG1_2, _NEG1_2 + _NEG1_2 + _NEG1_2 + _NEG1_2); |
| test_assign(_1, <span class="number">2</span>, _1_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_div_overflow() { |
| <span class="kw">fn </span>test_div_typed_overflow<T>() |
| <span class="kw">where |
| </span>T: Integer + Bounded + Clone + Debug + NumAssign + CheckedMul, |
| { |
| <span class="kw">let </span>two = T::one() + T::one(); |
| <span class="kw">let </span>_3 = T::one() + T::one() + T::one(); |
| |
| <span class="comment">// 1/big / 3/2 = 1/(max/4*3), where big is max/2 |
| // big ~ max/2, and big is divisible by 2 |
| </span><span class="kw">let </span>big = T::max_value() / two.clone() / two.clone() * two.clone(); |
| <span class="macro">assert_eq!</span>(<span class="prelude-val">None</span>, big.clone().checked_mul(<span class="kw-2">&</span>_3.clone())); |
| <span class="kw">let </span>_1_big: Ratio<T> = Ratio::new(T::one(), big.clone()); |
| <span class="kw">let </span>_3_two: Ratio<T> = Ratio::new(_3.clone(), two.clone()); |
| <span class="kw">let </span>expected = Ratio::new(T::one(), big / two.clone() * _3.clone()); |
| <span class="macro">assert_eq!</span>(expected.clone(), _1_big.clone() / _3_two.clone()); |
| <span class="macro">assert_eq!</span>( |
| <span class="prelude-val">Some</span>(expected.clone()), |
| _1_big.clone().checked_div(<span class="kw-2">&</span>_3_two.clone()) |
| ); |
| <span class="macro">assert_eq!</span>(expected, { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = _1_big; |
| tmp /= _3_two; |
| tmp |
| }); |
| |
| <span class="comment">// 3/big / 3 = 1/big where big is max/2 |
| // big ~ max/2, and big is not divisible by 3 |
| </span><span class="kw">let </span>big = T::max_value() / two / _3.clone() * _3.clone() + T::one(); |
| <span class="macro">assert_eq!</span>(<span class="prelude-val">None</span>, big.clone().checked_mul(<span class="kw-2">&</span>_3.clone())); |
| <span class="kw">let </span>_3_big = Ratio::new(_3.clone(), big.clone()); |
| <span class="kw">let </span>expected = Ratio::new(T::one(), big); |
| <span class="macro">assert_eq!</span>(expected, _3_big.clone() / _3.clone()); |
| <span class="macro">assert_eq!</span>(expected, { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp = _3_big; |
| tmp /= _3; |
| tmp |
| }); |
| } |
| test_div_typed_overflow::<u8>(); |
| test_div_typed_overflow::<u16>(); |
| test_div_typed_overflow::<u32>(); |
| test_div_typed_overflow::<u64>(); |
| test_div_typed_overflow::<usize>(); |
| test_div_typed_overflow::<u128>(); |
| |
| test_div_typed_overflow::<i8>(); |
| test_div_typed_overflow::<i16>(); |
| test_div_typed_overflow::<i32>(); |
| test_div_typed_overflow::<i64>(); |
| test_div_typed_overflow::<isize>(); |
| test_div_typed_overflow::<i128>(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_rem() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational, c: Rational) { |
| <span class="macro">assert_eq!</span>(a % b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x %= b; |
| x |
| }, |
| c |
| ); |
| <span class="macro">assert_eq!</span>(to_big(a) % to_big(b), to_big(c)) |
| } |
| <span class="kw">fn </span>test_assign(a: Rational, b: isize, c: Rational) { |
| <span class="macro">assert_eq!</span>(a % b, c); |
| <span class="macro">assert_eq!</span>( |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>x = a; |
| x %= b; |
| x |
| }, |
| c |
| ); |
| } |
| |
| test(_3_2, _1, _1_2); |
| test(_3_2, _1_2, _0); |
| test(_5_2, _3_2, _1); |
| test(_2, _NEG1_2, _0); |
| test(_1_2, _2, _1_2); |
| test_assign(_3_2, <span class="number">1</span>, _1_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_rem_overflow() { |
| <span class="comment">// tests that Ratio(1,2) % Ratio(1, T::max_value()) equals 0 |
| // for each integer type. Previously, this calculation would overflow. |
| </span><span class="kw">fn </span>test_rem_typed_overflow<T>() |
| <span class="kw">where |
| </span>T: Integer + Bounded + Clone + Debug + NumAssign, |
| { |
| <span class="kw">let </span>two = T::one() + T::one(); |
| <span class="comment">// value near to maximum, but divisible by two |
| </span><span class="kw">let </span>max_div2 = T::max_value() / two.clone() * two.clone(); |
| <span class="kw">let </span>_1_max: Ratio<T> = Ratio::new(T::one(), max_div2); |
| <span class="kw">let </span>_1_two: Ratio<T> = Ratio::new(T::one(), two); |
| <span class="macro">assert!</span>(T::is_zero(<span class="kw-2">&</span>(_1_two.clone() % _1_max.clone()).numer)); |
| { |
| <span class="kw">let </span><span class="kw-2">mut </span>tmp: Ratio<T> = _1_two; |
| tmp %= _1_max; |
| <span class="macro">assert!</span>(T::is_zero(<span class="kw-2">&</span>tmp.numer)); |
| } |
| } |
| test_rem_typed_overflow::<u8>(); |
| test_rem_typed_overflow::<u16>(); |
| test_rem_typed_overflow::<u32>(); |
| test_rem_typed_overflow::<u64>(); |
| test_rem_typed_overflow::<usize>(); |
| test_rem_typed_overflow::<u128>(); |
| |
| test_rem_typed_overflow::<i8>(); |
| test_rem_typed_overflow::<i16>(); |
| test_rem_typed_overflow::<i32>(); |
| test_rem_typed_overflow::<i64>(); |
| test_rem_typed_overflow::<isize>(); |
| test_rem_typed_overflow::<i128>(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_neg() { |
| <span class="kw">fn </span>test(a: Rational, b: Rational) { |
| <span class="macro">assert_eq!</span>(-a, b); |
| <span class="macro">assert_eq!</span>(-to_big(a), to_big(b)) |
| } |
| |
| test(_0, _0); |
| test(_1_2, _NEG1_2); |
| test(-_1, _1); |
| } |
| <span class="attribute">#[test] |
| #[allow(clippy::eq_op)] |
| </span><span class="kw">fn </span>test_zero() { |
| <span class="macro">assert_eq!</span>(_0 + _0, _0); |
| <span class="macro">assert_eq!</span>(_0 * _0, _0); |
| <span class="macro">assert_eq!</span>(_0 * _1, _0); |
| <span class="macro">assert_eq!</span>(_0 / _NEG1_2, _0); |
| <span class="macro">assert_eq!</span>(_0 - _0, _0); |
| } |
| <span class="attribute">#[test] |
| #[should_panic] |
| </span><span class="kw">fn </span>test_div_0() { |
| <span class="kw">let </span>_a = _1 / _0; |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_checked_failures() { |
| <span class="kw">let </span>big = Ratio::new(<span class="number">128u8</span>, <span class="number">1</span>); |
| <span class="kw">let </span>small = Ratio::new(<span class="number">1</span>, <span class="number">128u8</span>); |
| <span class="macro">assert_eq!</span>(big.checked_add(<span class="kw-2">&</span>big), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(small.checked_sub(<span class="kw-2">&</span>big), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(big.checked_mul(<span class="kw-2">&</span>big), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(small.checked_div(<span class="kw-2">&</span>big), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_1.checked_div(<span class="kw-2">&</span>_0), <span class="prelude-val">None</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_checked_zeros() { |
| <span class="macro">assert_eq!</span>(_0.checked_add(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_0.checked_sub(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_0.checked_mul(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_0.checked_div(<span class="kw-2">&</span>_0), <span class="prelude-val">None</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_checked_min() { |
| <span class="macro">assert_eq!</span>(_MIN.checked_add(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_sub(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_mul(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_div(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_1)); |
| <span class="macro">assert_eq!</span>(_0.checked_add(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_MIN)); |
| <span class="macro">assert_eq!</span>(_0.checked_sub(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_0.checked_mul(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_0.checked_div(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_1.checked_add(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_MIN_P1)); |
| <span class="macro">assert_eq!</span>(_1.checked_sub(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_1.checked_mul(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(_MIN)); |
| <span class="macro">assert_eq!</span>(_1.checked_div(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_add(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_MIN)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_sub(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_MIN)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_mul(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_div(<span class="kw-2">&</span>_0), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_add(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MIN_P1)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_sub(<span class="kw-2">&</span>_1), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_mul(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MIN)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_div(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MIN)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_checked_max() { |
| <span class="macro">assert_eq!</span>(_MAX.checked_add(<span class="kw-2">&</span>_MAX), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_sub(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_mul(<span class="kw-2">&</span>_MAX), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_div(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_1)); |
| <span class="macro">assert_eq!</span>(_0.checked_add(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_MAX)); |
| <span class="macro">assert_eq!</span>(_0.checked_sub(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_MIN_P1)); |
| <span class="macro">assert_eq!</span>(_0.checked_mul(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_0.checked_div(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_1.checked_add(<span class="kw-2">&</span>_MAX), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_1.checked_sub(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(-_MAX_M1)); |
| <span class="macro">assert_eq!</span>(_1.checked_mul(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_MAX)); |
| <span class="macro">assert_eq!</span>(_1.checked_div(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(_MAX.recip())); |
| <span class="macro">assert_eq!</span>(_MAX.checked_add(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_MAX)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_sub(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_MAX)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_mul(<span class="kw-2">&</span>_0), <span class="prelude-val">Some</span>(_0)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_div(<span class="kw-2">&</span>_0), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_add(<span class="kw-2">&</span>_1), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_sub(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MAX_M1)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_mul(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MAX)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_div(<span class="kw-2">&</span>_1), <span class="prelude-val">Some</span>(_MAX)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_checked_min_max() { |
| <span class="macro">assert_eq!</span>(_MIN.checked_add(<span class="kw-2">&</span>_MAX), <span class="prelude-val">Some</span>(-_1)); |
| <span class="macro">assert_eq!</span>(_MIN.checked_sub(<span class="kw-2">&</span>_MAX), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MIN.checked_mul(<span class="kw-2">&</span>_MAX), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>( |
| _MIN.checked_div(<span class="kw-2">&</span>_MAX), |
| <span class="prelude-val">Some</span>(Ratio::new(_MIN.numer, _MAX.numer)) |
| ); |
| <span class="macro">assert_eq!</span>(_MAX.checked_add(<span class="kw-2">&</span>_MIN), <span class="prelude-val">Some</span>(-_1)); |
| <span class="macro">assert_eq!</span>(_MAX.checked_sub(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_mul(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(_MAX.checked_div(<span class="kw-2">&</span>_MIN), <span class="prelude-val">None</span>); |
| } |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_round() { |
| <span class="macro">assert_eq!</span>(_1_3.ceil(), _1); |
| <span class="macro">assert_eq!</span>(_1_3.floor(), _0); |
| <span class="macro">assert_eq!</span>(_1_3.round(), _0); |
| <span class="macro">assert_eq!</span>(_1_3.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_NEG1_3.ceil(), _0); |
| <span class="macro">assert_eq!</span>(_NEG1_3.floor(), -_1); |
| <span class="macro">assert_eq!</span>(_NEG1_3.round(), _0); |
| <span class="macro">assert_eq!</span>(_NEG1_3.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_2_3.ceil(), _1); |
| <span class="macro">assert_eq!</span>(_2_3.floor(), _0); |
| <span class="macro">assert_eq!</span>(_2_3.round(), _1); |
| <span class="macro">assert_eq!</span>(_2_3.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_NEG2_3.ceil(), _0); |
| <span class="macro">assert_eq!</span>(_NEG2_3.floor(), -_1); |
| <span class="macro">assert_eq!</span>(_NEG2_3.round(), -_1); |
| <span class="macro">assert_eq!</span>(_NEG2_3.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_1_2.ceil(), _1); |
| <span class="macro">assert_eq!</span>(_1_2.floor(), _0); |
| <span class="macro">assert_eq!</span>(_1_2.round(), _1); |
| <span class="macro">assert_eq!</span>(_1_2.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_NEG1_2.ceil(), _0); |
| <span class="macro">assert_eq!</span>(_NEG1_2.floor(), -_1); |
| <span class="macro">assert_eq!</span>(_NEG1_2.round(), -_1); |
| <span class="macro">assert_eq!</span>(_NEG1_2.trunc(), _0); |
| |
| <span class="macro">assert_eq!</span>(_1.ceil(), _1); |
| <span class="macro">assert_eq!</span>(_1.floor(), _1); |
| <span class="macro">assert_eq!</span>(_1.round(), _1); |
| <span class="macro">assert_eq!</span>(_1.trunc(), _1); |
| |
| <span class="comment">// Overflow checks |
| |
| </span><span class="kw">let </span>_neg1 = Ratio::from_integer(-<span class="number">1</span>); |
| <span class="kw">let </span>_large_rat1 = Ratio::new(i32::MAX, i32::MAX - <span class="number">1</span>); |
| <span class="kw">let </span>_large_rat2 = Ratio::new(i32::MAX - <span class="number">1</span>, i32::MAX); |
| <span class="kw">let </span>_large_rat3 = Ratio::new(i32::MIN + <span class="number">2</span>, i32::MIN + <span class="number">1</span>); |
| <span class="kw">let </span>_large_rat4 = Ratio::new(i32::MIN + <span class="number">1</span>, i32::MIN + <span class="number">2</span>); |
| <span class="kw">let </span>_large_rat5 = Ratio::new(i32::MIN + <span class="number">2</span>, i32::MAX); |
| <span class="kw">let </span>_large_rat6 = Ratio::new(i32::MAX, i32::MIN + <span class="number">2</span>); |
| <span class="kw">let </span>_large_rat7 = Ratio::new(<span class="number">1</span>, i32::MIN + <span class="number">1</span>); |
| <span class="kw">let </span>_large_rat8 = Ratio::new(<span class="number">1</span>, i32::MAX); |
| |
| <span class="macro">assert_eq!</span>(_large_rat1.round(), One::one()); |
| <span class="macro">assert_eq!</span>(_large_rat2.round(), One::one()); |
| <span class="macro">assert_eq!</span>(_large_rat3.round(), One::one()); |
| <span class="macro">assert_eq!</span>(_large_rat4.round(), One::one()); |
| <span class="macro">assert_eq!</span>(_large_rat5.round(), _neg1); |
| <span class="macro">assert_eq!</span>(_large_rat6.round(), _neg1); |
| <span class="macro">assert_eq!</span>(_large_rat7.round(), Zero::zero()); |
| <span class="macro">assert_eq!</span>(_large_rat8.round(), Zero::zero()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_fract() { |
| <span class="macro">assert_eq!</span>(_1.fract(), _0); |
| <span class="macro">assert_eq!</span>(_NEG1_2.fract(), _NEG1_2); |
| <span class="macro">assert_eq!</span>(_1_2.fract(), _1_2); |
| <span class="macro">assert_eq!</span>(_3_2.fract(), _1_2); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_recip() { |
| <span class="macro">assert_eq!</span>(_1 * _1.recip(), _1); |
| <span class="macro">assert_eq!</span>(_2 * _2.recip(), _1); |
| <span class="macro">assert_eq!</span>(_1_2 * _1_2.recip(), _1); |
| <span class="macro">assert_eq!</span>(_3_2 * _3_2.recip(), _1); |
| <span class="macro">assert_eq!</span>(_NEG1_2 * _NEG1_2.recip(), _1); |
| |
| <span class="macro">assert_eq!</span>(_3_2.recip(), _2_3); |
| <span class="macro">assert_eq!</span>(_NEG1_2.recip(), _NEG2); |
| <span class="macro">assert_eq!</span>(_NEG1_2.recip().denom(), <span class="kw-2">&</span><span class="number">1</span>); |
| } |
| |
| <span class="attribute">#[test] |
| #[should_panic(expected = <span class="string">"division by zero"</span>)] |
| </span><span class="kw">fn </span>test_recip_fail() { |
| <span class="kw">let </span>_a = Ratio::new(<span class="number">0</span>, <span class="number">1</span>).recip(); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_pow() { |
| <span class="kw">fn </span>test(r: Rational, e: i32, expected: Rational) { |
| <span class="macro">assert_eq!</span>(r.pow(e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(r, e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(r, <span class="kw-2">&</span>e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(<span class="kw-2">&</span>r, e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(<span class="kw-2">&</span>r, <span class="kw-2">&</span>e), expected); |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span>test_big(r, e, expected); |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">fn </span>test_big(r: Rational, e: i32, expected: Rational) { |
| <span class="kw">let </span>r = BigRational::new_raw(r.numer.into(), r.denom.into()); |
| <span class="kw">let </span>expected = BigRational::new_raw(expected.numer.into(), expected.denom.into()); |
| <span class="macro">assert_eq!</span>((<span class="kw-2">&</span>r).pow(e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(r.clone(), e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(r.clone(), <span class="kw-2">&</span>e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(<span class="kw-2">&</span>r, e), expected); |
| <span class="macro">assert_eq!</span>(Pow::pow(<span class="kw-2">&</span>r, <span class="kw-2">&</span>e), expected); |
| } |
| |
| test(_1_2, <span class="number">2</span>, Ratio::new(<span class="number">1</span>, <span class="number">4</span>)); |
| test(_1_2, -<span class="number">2</span>, Ratio::new(<span class="number">4</span>, <span class="number">1</span>)); |
| test(_1, <span class="number">1</span>, _1); |
| test(_1, i32::MAX, _1); |
| test(_1, i32::MIN, _1); |
| test(_NEG1_2, <span class="number">2</span>, _1_2.pow(<span class="number">2i32</span>)); |
| test(_NEG1_2, <span class="number">3</span>, -_1_2.pow(<span class="number">3i32</span>)); |
| test(_3_2, <span class="number">0</span>, _1); |
| test(_3_2, -<span class="number">1</span>, _3_2.recip()); |
| test(_3_2, <span class="number">3</span>, Ratio::new(<span class="number">27</span>, <span class="number">8</span>)); |
| } |
| |
| <span class="attribute">#[test] |
| #[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">fn </span>test_to_from_str() { |
| <span class="kw">use </span>std::string::{String, ToString}; |
| <span class="kw">fn </span>test(r: Rational, s: String) { |
| <span class="macro">assert_eq!</span>(FromStr::from_str(<span class="kw-2">&</span>s), <span class="prelude-val">Ok</span>(r)); |
| <span class="macro">assert_eq!</span>(r.to_string(), s); |
| } |
| test(_1, <span class="string">"1"</span>.to_string()); |
| test(_0, <span class="string">"0"</span>.to_string()); |
| test(_1_2, <span class="string">"1/2"</span>.to_string()); |
| test(_3_2, <span class="string">"3/2"</span>.to_string()); |
| test(_2, <span class="string">"2"</span>.to_string()); |
| test(_NEG1_2, <span class="string">"-1/2"</span>.to_string()); |
| } |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_from_str_fail() { |
| <span class="kw">fn </span>test(s: <span class="kw-2">&</span>str) { |
| <span class="kw">let </span>rational: <span class="prelude-ty">Result</span><Rational, <span class="kw">_</span>> = FromStr::from_str(s); |
| <span class="macro">assert!</span>(rational.is_err()); |
| } |
| |
| <span class="kw">let </span>xs = [<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>s <span class="kw">in </span>xs.iter() { |
| test(s); |
| } |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| #[test] |
| </span><span class="kw">fn </span>test_from_float() { |
| <span class="kw">use </span>num_traits::float::FloatCore; |
| <span class="kw">fn </span>test<T: FloatCore>(given: T, (numer, denom): (<span class="kw-2">&</span>str, <span class="kw-2">&</span>str)) { |
| <span class="kw">let </span>ratio: BigRational = Ratio::from_float(given).unwrap(); |
| <span class="macro">assert_eq!</span>( |
| ratio, |
| Ratio::new( |
| FromStr::from_str(numer).unwrap(), |
| FromStr::from_str(denom).unwrap() |
| ) |
| ); |
| } |
| |
| <span class="comment">// f32 |
| </span>test(core::f32::consts::PI, (<span class="string">"13176795"</span>, <span class="string">"4194304"</span>)); |
| test(<span class="number">2f32</span>.powf(<span class="number">100.</span>), (<span class="string">"1267650600228229401496703205376"</span>, <span class="string">"1"</span>)); |
| test( |
| -(<span class="number">2f32</span>.powf(<span class="number">100.</span>)), |
| (<span class="string">"-1267650600228229401496703205376"</span>, <span class="string">"1"</span>), |
| ); |
| test( |
| <span class="number">1.0 </span>/ <span class="number">2f32</span>.powf(<span class="number">100.</span>), |
| (<span class="string">"1"</span>, <span class="string">"1267650600228229401496703205376"</span>), |
| ); |
| test(<span class="number">684729.48391f32</span>, (<span class="string">"1369459"</span>, <span class="string">"2"</span>)); |
| test(-<span class="number">8573.5918555f32</span>, (<span class="string">"-4389679"</span>, <span class="string">"512"</span>)); |
| |
| <span class="comment">// f64 |
| </span>test( |
| core::f64::consts::PI, |
| (<span class="string">"884279719003555"</span>, <span class="string">"281474976710656"</span>), |
| ); |
| test(<span class="number">2f64</span>.powf(<span class="number">100.</span>), (<span class="string">"1267650600228229401496703205376"</span>, <span class="string">"1"</span>)); |
| test( |
| -(<span class="number">2f64</span>.powf(<span class="number">100.</span>)), |
| (<span class="string">"-1267650600228229401496703205376"</span>, <span class="string">"1"</span>), |
| ); |
| test(<span class="number">684729.48391f64</span>, (<span class="string">"367611342500051"</span>, <span class="string">"536870912"</span>)); |
| test(-<span class="number">8573.5918555f64</span>, (<span class="string">"-4713381968463931"</span>, <span class="string">"549755813888"</span>)); |
| test( |
| <span class="number">1.0 </span>/ <span class="number">2f64</span>.powf(<span class="number">100.</span>), |
| (<span class="string">"1"</span>, <span class="string">"1267650600228229401496703205376"</span>), |
| ); |
| } |
| |
| <span class="attribute">#[cfg(feature = <span class="string">"num-bigint"</span>)] |
| #[test] |
| </span><span class="kw">fn </span>test_from_float_fail() { |
| <span class="kw">use </span>core::{f32, f64}; |
| |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f32::NAN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f32::INFINITY), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f32::NEG_INFINITY), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f64::NAN), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f64::INFINITY), <span class="prelude-val">None</span>); |
| <span class="macro">assert_eq!</span>(Ratio::from_float(f64::NEG_INFINITY), <span class="prelude-val">None</span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_signed() { |
| <span class="macro">assert_eq!</span>(_NEG1_2.abs(), _1_2); |
| <span class="macro">assert_eq!</span>(_3_2.abs_sub(<span class="kw-2">&</span>_1_2), _1); |
| <span class="macro">assert_eq!</span>(_1_2.abs_sub(<span class="kw-2">&</span>_3_2), Zero::zero()); |
| <span class="macro">assert_eq!</span>(_1_2.signum(), One::one()); |
| <span class="macro">assert_eq!</span>(_NEG1_2.signum(), -<Ratio<isize>>::one()); |
| <span class="macro">assert_eq!</span>(_0.signum(), Zero::zero()); |
| <span class="macro">assert!</span>(_NEG1_2.is_negative()); |
| <span class="macro">assert!</span>(_1_NEG2.is_negative()); |
| <span class="macro">assert!</span>(!_NEG1_2.is_positive()); |
| <span class="macro">assert!</span>(!_1_NEG2.is_positive()); |
| <span class="macro">assert!</span>(_1_2.is_positive()); |
| <span class="macro">assert!</span>(_NEG1_NEG2.is_positive()); |
| <span class="macro">assert!</span>(!_1_2.is_negative()); |
| <span class="macro">assert!</span>(!_NEG1_NEG2.is_negative()); |
| <span class="macro">assert!</span>(!_0.is_positive()); |
| <span class="macro">assert!</span>(!_0.is_negative()); |
| } |
| |
| <span class="attribute">#[test] |
| #[cfg(feature = <span class="string">"std"</span>)] |
| </span><span class="kw">fn </span>test_hash() { |
| <span class="macro">assert!</span>(<span class="kw">crate</span>::hash(<span class="kw-2">&</span>_0) != <span class="kw">crate</span>::hash(<span class="kw-2">&</span>_1)); |
| <span class="macro">assert!</span>(<span class="kw">crate</span>::hash(<span class="kw-2">&</span>_0) != <span class="kw">crate</span>::hash(<span class="kw-2">&</span>_3_2)); |
| |
| <span class="comment">// a == b -> hash(a) == hash(b) |
| </span><span class="kw">let </span>a = Rational::new_raw(<span class="number">4</span>, <span class="number">2</span>); |
| <span class="kw">let </span>b = Rational::new_raw(<span class="number">6</span>, <span class="number">3</span>); |
| <span class="macro">assert_eq!</span>(a, b); |
| <span class="macro">assert_eq!</span>(<span class="kw">crate</span>::hash(<span class="kw-2">&</span>a), <span class="kw">crate</span>::hash(<span class="kw-2">&</span>b)); |
| |
| <span class="kw">let </span>a = Rational::new_raw(<span class="number">123456789</span>, <span class="number">1000</span>); |
| <span class="kw">let </span>b = Rational::new_raw(<span class="number">123456789 </span>* <span class="number">5</span>, <span class="number">5000</span>); |
| <span class="macro">assert_eq!</span>(a, b); |
| <span class="macro">assert_eq!</span>(<span class="kw">crate</span>::hash(<span class="kw-2">&</span>a), <span class="kw">crate</span>::hash(<span class="kw-2">&</span>b)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_into_pair() { |
| <span class="macro">assert_eq!</span>((<span class="number">0</span>, <span class="number">1</span>), _0.into()); |
| <span class="macro">assert_eq!</span>((-<span class="number">2</span>, <span class="number">1</span>), _NEG2.into()); |
| <span class="macro">assert_eq!</span>((<span class="number">1</span>, -<span class="number">2</span>), _1_NEG2.into()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_from_pair() { |
| <span class="macro">assert_eq!</span>(_0, Ratio::from((<span class="number">0</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(_1, Ratio::from((<span class="number">1</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(_NEG2, Ratio::from((-<span class="number">2</span>, <span class="number">1</span>))); |
| <span class="macro">assert_eq!</span>(_1_NEG2, Ratio::from((<span class="number">1</span>, -<span class="number">2</span>))); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>ratio_iter_sum() { |
| <span class="comment">// generic function to assure the iter method can be called |
| // for any Iterator with Item = Ratio<impl Integer> or Ratio<&impl Integer> |
| </span><span class="kw">fn </span>iter_sums<T: Integer + Clone>(slice: <span class="kw-2">&</span>[Ratio<T>]) -> [Ratio<T>; <span class="number">3</span>] { |
| <span class="kw">let </span><span class="kw-2">mut </span>manual_sum = Ratio::new(T::zero(), T::one()); |
| <span class="kw">for </span>ratio <span class="kw">in </span>slice { |
| manual_sum = manual_sum + ratio; |
| } |
| [manual_sum, slice.iter().sum(), slice.iter().cloned().sum()] |
| } |
| <span class="comment">// collect into array so test works on no_std |
| </span><span class="kw">let </span><span class="kw-2">mut </span>nums = [Ratio::new(<span class="number">0</span>, <span class="number">1</span>); <span class="number">1000</span>]; |
| <span class="kw">for </span>(i, r) <span class="kw">in </span>(<span class="number">0</span>..<span class="number">1000</span>).map(|n| Ratio::new(n, <span class="number">500</span>)).enumerate() { |
| nums[i] = r; |
| } |
| <span class="kw">let </span>sums = iter_sums(<span class="kw-2">&</span>nums[..]); |
| <span class="macro">assert_eq!</span>(sums[<span class="number">0</span>], sums[<span class="number">1</span>]); |
| <span class="macro">assert_eq!</span>(sums[<span class="number">0</span>], sums[<span class="number">2</span>]); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>ratio_iter_product() { |
| <span class="comment">// generic function to assure the iter method can be called |
| // for any Iterator with Item = Ratio<impl Integer> or Ratio<&impl Integer> |
| </span><span class="kw">fn </span>iter_products<T: Integer + Clone>(slice: <span class="kw-2">&</span>[Ratio<T>]) -> [Ratio<T>; <span class="number">3</span>] { |
| <span class="kw">let </span><span class="kw-2">mut </span>manual_prod = Ratio::new(T::one(), T::one()); |
| <span class="kw">for </span>ratio <span class="kw">in </span>slice { |
| manual_prod = manual_prod * ratio; |
| } |
| [ |
| manual_prod, |
| slice.iter().product(), |
| slice.iter().cloned().product(), |
| ] |
| } |
| |
| <span class="comment">// collect into array so test works on no_std |
| </span><span class="kw">let </span><span class="kw-2">mut </span>nums = [Ratio::new(<span class="number">0</span>, <span class="number">1</span>); <span class="number">1000</span>]; |
| <span class="kw">for </span>(i, r) <span class="kw">in </span>(<span class="number">0</span>..<span class="number">1000</span>).map(|n| Ratio::new(n, <span class="number">500</span>)).enumerate() { |
| nums[i] = r; |
| } |
| <span class="kw">let </span>products = iter_products(<span class="kw-2">&</span>nums[..]); |
| <span class="macro">assert_eq!</span>(products[<span class="number">0</span>], products[<span class="number">1</span>]); |
| <span class="macro">assert_eq!</span>(products[<span class="number">0</span>], products[<span class="number">2</span>]); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_num_zero() { |
| <span class="kw">let </span>zero = Rational64::zero(); |
| <span class="macro">assert!</span>(zero.is_zero()); |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>r = Rational64::new(<span class="number">123</span>, <span class="number">456</span>); |
| <span class="macro">assert!</span>(!r.is_zero()); |
| <span class="macro">assert_eq!</span>(r + zero, r); |
| |
| r.set_zero(); |
| <span class="macro">assert!</span>(r.is_zero()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_num_one() { |
| <span class="kw">let </span>one = Rational64::one(); |
| <span class="macro">assert!</span>(one.is_one()); |
| |
| <span class="kw">let </span><span class="kw-2">mut </span>r = Rational64::new(<span class="number">123</span>, <span class="number">456</span>); |
| <span class="macro">assert!</span>(!r.is_one()); |
| <span class="macro">assert_eq!</span>(r * one, r); |
| |
| r.set_one(); |
| <span class="macro">assert!</span>(r.is_one()); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_const() { |
| <span class="kw">const </span>N: Ratio<i32> = Ratio::new_raw(<span class="number">123</span>, <span class="number">456</span>); |
| <span class="kw">const </span>N_NUMER: <span class="kw-2">&</span>i32 = N.numer(); |
| <span class="kw">const </span>N_DENOM: <span class="kw-2">&</span>i32 = N.denom(); |
| |
| <span class="macro">assert_eq!</span>(N_NUMER, <span class="kw-2">&</span><span class="number">123</span>); |
| <span class="macro">assert_eq!</span>(N_DENOM, <span class="kw-2">&</span><span class="number">456</span>); |
| |
| <span class="kw">let </span>r = N.reduced(); |
| <span class="macro">assert_eq!</span>(r.numer(), <span class="kw-2">&</span>(<span class="number">123 </span>/ <span class="number">3</span>)); |
| <span class="macro">assert_eq!</span>(r.denom(), <span class="kw-2">&</span>(<span class="number">456 </span>/ <span class="number">3</span>)); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_ratio_to_i64() { |
| <span class="macro">assert_eq!</span>(<span class="number">5</span>, Rational64::new(<span class="number">70</span>, <span class="number">14</span>).to_u64().unwrap()); |
| <span class="macro">assert_eq!</span>(-<span class="number">3</span>, Rational64::new(-<span class="number">31</span>, <span class="number">8</span>).to_i64().unwrap()); |
| <span class="macro">assert_eq!</span>(<span class="prelude-val">None</span>, Rational64::new(-<span class="number">31</span>, <span class="number">8</span>).to_u64()); |
| } |
| |
| <span class="attribute">#[test] |
| #[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">fn </span>test_ratio_to_i128() { |
| <span class="macro">assert_eq!</span>( |
| <span class="number">1i128 </span><< <span class="number">70</span>, |
| Ratio::<i128>::new(<span class="number">1i128 </span><< <span class="number">77</span>, <span class="number">1i128 </span><< <span class="number">7</span>) |
| .to_i128() |
| .unwrap() |
| ); |
| } |
| |
| <span class="attribute">#[test] |
| #[cfg(feature = <span class="string">"num-bigint"</span>)] |
| </span><span class="kw">fn </span>test_big_ratio_to_f64() { |
| <span class="macro">assert_eq!</span>( |
| BigRational::new( |
| <span class="string">"1234567890987654321234567890987654321234567890" |
| </span>.parse() |
| .unwrap(), |
| <span class="string">"3"</span>.parse().unwrap() |
| ) |
| .to_f64(), |
| <span class="prelude-val">Some</span>(<span class="number">411522630329218100000000000000000000000000000f64</span>) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::new(BigInt::one(), BigInt::one() << <span class="number">1050</span>).to_f64(), |
| <span class="prelude-val">Some</span>(<span class="number">0f64</span>) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::from(BigInt::one() << <span class="number">1050</span>).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::from((-BigInt::one()) << <span class="number">1050</span>).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::NEG_INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::new( |
| <span class="string">"1234567890987654321234567890"</span>.parse().unwrap(), |
| <span class="string">"987654321234567890987654321"</span>.parse().unwrap() |
| ) |
| .to_f64(), |
| <span class="prelude-val">Some</span>(<span class="number">1.2499999893125f64</span>) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::new_raw(BigInt::one(), BigInt::zero()).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::new_raw(-BigInt::one(), BigInt::zero()).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::NEG_INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>( |
| BigRational::new_raw(BigInt::zero(), BigInt::zero()).to_f64(), |
| <span class="prelude-val">None |
| </span>); |
| } |
| |
| <span class="attribute">#[test] |
| </span><span class="kw">fn </span>test_ratio_to_f64() { |
| <span class="macro">assert_eq!</span>(Ratio::<u8>::new(<span class="number">1</span>, <span class="number">2</span>).to_f64(), <span class="prelude-val">Some</span>(<span class="number">0.5f64</span>)); |
| <span class="macro">assert_eq!</span>(Rational64::new(<span class="number">1</span>, <span class="number">2</span>).to_f64(), <span class="prelude-val">Some</span>(<span class="number">0.5f64</span>)); |
| <span class="macro">assert_eq!</span>(Rational64::new(<span class="number">1</span>, -<span class="number">2</span>).to_f64(), <span class="prelude-val">Some</span>(-<span class="number">0.5f64</span>)); |
| <span class="macro">assert_eq!</span>(Rational64::new(<span class="number">0</span>, <span class="number">2</span>).to_f64(), <span class="prelude-val">Some</span>(<span class="number">0.0f64</span>)); |
| <span class="macro">assert_eq!</span>(Rational64::new(<span class="number">0</span>, -<span class="number">2</span>).to_f64(), <span class="prelude-val">Some</span>(-<span class="number">0.0f64</span>)); |
| <span class="macro">assert_eq!</span>(Rational64::new((<span class="number">1 </span><< <span class="number">57</span>) + <span class="number">1</span>, <span class="number">1 </span><< <span class="number">54</span>).to_f64(), <span class="prelude-val">Some</span>(<span class="number">8f64</span>)); |
| <span class="macro">assert_eq!</span>( |
| Rational64::new((<span class="number">1 </span><< <span class="number">52</span>) + <span class="number">1</span>, <span class="number">1 </span><< <span class="number">52</span>).to_f64(), |
| <span class="prelude-val">Some</span>(<span class="number">1.0000000000000002f64</span>), |
| ); |
| <span class="macro">assert_eq!</span>( |
| Rational64::new((<span class="number">1 </span><< <span class="number">60</span>) + (<span class="number">1 </span><< <span class="number">8</span>), <span class="number">1 </span><< <span class="number">60</span>).to_f64(), |
| <span class="prelude-val">Some</span>(<span class="number">1.0000000000000002f64</span>), |
| ); |
| <span class="macro">assert_eq!</span>( |
| Ratio::<i32>::new_raw(<span class="number">1</span>, <span class="number">0</span>).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>( |
| Ratio::<i32>::new_raw(-<span class="number">1</span>, <span class="number">0</span>).to_f64(), |
| <span class="prelude-val">Some</span>(core::f64::NEG_INFINITY) |
| ); |
| <span class="macro">assert_eq!</span>(Ratio::<i32>::new_raw(<span class="number">0</span>, <span class="number">0</span>).to_f64(), <span class="prelude-val">None</span>); |
| } |
| } |
| </code></pre></div> |
| </section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="num_rational" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.66.0-nightly (5c8bff74b 2022-10-21)" ></div></body></html> |
