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// Copyright © 2016–2017 University of Malta // This program is free software: you can redistribute it and/or // modify it under the terms of the GNU Lesser General Public License // as published by the Free Software Foundation, either version 3 of // the License, or (at your option) any later version. // // This program is distributed in the hope that it will be useful, but // WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU // General Public License for more details. // // You should have received a copy of the GNU Lesser General Public // License and a copy of the GNU General Public License along with // this program. If not, see <http://www.gnu.org/licenses/>. //! # Arbitrary-precision floating-point numbers //! //! The `rugflo` crate provides arbitrary-precision floating-point //! numbers using the [GNU MPFR Library][mpfr home], a library for //! multiple-precision floating-point computations. It is one of a //! group of four crates: //! //! * [`rugint`][rugint] provides arbitrary-precision integers based //! on GMP. //! * [`rugrat`][rugrat] provides arbitrary-precision rational number //! based on GMP. //! * [`rugflo`][rugflo] provides arbitrary-precision floating-point //! numbers based on MPFR. //! * [`rugcom`][rugcom] provides arbitrary-precision complex numbers //! based on MPC. //! //! This crate is free software: you can redistribute it and/or modify //! it under the terms of the GNU Lesser General Public License as //! published by the Free Software Foundation, either version 3 of the //! License, or (at your option) any later version. See the full text //! of the [GNU LGPL][lgpl] and [GNU GPL][gpl] for details. //! //! ## Basic use //! //! Apart from this documentation, it can be helpful to refer to the //! documentation of the [MPFR][mpfr] library. //! //! The crate provides the [`Float`][float] type, which provides an //! arbitrary-precision floating-point number with correct rounding. //! //! ## Examples //! //! ```rust //! extern crate rugflo; //! use rugflo::Float; //! //! fn main() { //! // Create a floating-point number with 53 bits of precision. //! // (An f64 has 53 bits of precision too.) //! let flo53 = Float::from((0xff00ff, 53)); //! assert!(flo53.to_f64() == 0xff00ff as f64); //! // Create a floating-point number with only 16 bits of precision. //! let flo16 = Float::from((0xff00ff, 16)); //! // Now the number is rounded. //! assert!(flo16.to_f64() == 0xff0100 as f64); //! } //! ``` //! //! ## Usage //! //! To use `rugflo` in your crate, add `extern crate rugflo;` to the //! crate root and add `rugflo` as a dependency in `Cargo.toml`: //! //! ```toml //! [dependencies] //! rugflo = "0.2.1" //! ``` //! //! The `rugflo` crate depends on the low-level bindings in the //! `gmp-mpfr-sys` crate. This should be transparent on GNU/Linux and //! macOS, but may need some work on Windows. See the `gmp-mpfr-sys` //! [documentation][sys] for some details. //! //! ### Optional feature //! //! The `rugflo` crate has an optional feature `random` to enable //! random number generation. The `random` feature introduces a //! dependency on the `rand` crate. The feature is enabled by default; //! to disable it add this to `Cargo.toml`: //! //! ```toml //! [dependencies.rugflo] //! version = "0.2.1" //! default-features = false //! ``` //! //! [float]: https://tspiteri.gitlab.io/gmp-mpfr/rugflo/struct.Float.html //! [gpl]: https://www.gnu.org/licenses/gpl-3.0.html //! [lgpl]: https://www.gnu.org/licenses/lgpl-3.0.en.html //! [mpfr home]: http://www.mpfr.org/ //! [mpfr]: https://tspiteri.gitlab.io/gmp-mpfr/mpfr/ //! [rugcom]: https://tspiteri.gitlab.io/gmp-mpfr/rugcom/ //! [rugflo]: https://tspiteri.gitlab.io/gmp-mpfr/rugflo/ //! [rugint]: https://tspiteri.gitlab.io/gmp-mpfr/rugint/ //! [rugrat]: https://tspiteri.gitlab.io/gmp-mpfr/rugrat/ //! [sys]: https://tspiteri.gitlab.io/gmp-mpfr/gmp_mpfr_sys/ #![warn(missing_docs)] #![doc(test(attr(deny(warnings))))] extern crate gmp_mpfr_sys; #[cfg(feature = "random")] extern crate rand; extern crate rugint; extern crate rugrat; mod float; pub use float::{Constant, Float, ParseFloatError, Round, Special, exp_max, exp_min, prec_max, prec_min}; /// Assigns to a number from another value, applying the specified /// rounding method. pub trait AssignRound<Rhs = Self> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// Peforms the assignment and rounding. fn assign_round(&mut self, rhs: Rhs, round: Self::Round) -> Self::Ordering; } /// Construct `Self` via a conversion with a specified precision, /// applying the specified rounding method. pub trait FromRound<Val, Prec> where Self: Sized { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// Performs the conversion. fn from_round(val: Val, prec: Prec, round: Self::Round) -> (Self, Self::Ordering); } /// Provides addition with a specified rounding method. pub trait AddRound<Rhs = Self> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the addition. type Output; /// Performs the addition. fn add_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides subtraction with a specified rounding method. pub trait SubRound<Rhs = Self> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the subtraction. type Output; /// Performs the subtraction. fn sub_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides multiplication with a specified rounding method. pub trait MulRound<Rhs = Self> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the multiplication. type Output; /// Performs the multiplication. fn mul_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides division with a specified rounding method. pub trait DivRound<Rhs = Self> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the division. type Output; /// Performs the division. fn div_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides the left shift operation with a specified rounding /// method. pub trait ShlRound<Rhs> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the left shift operation. type Output; /// Performs the left shift operation. fn shl_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides the right shift operation with a specified rounding /// method. pub trait ShrRound<Rhs> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the right shift operation. type Output; /// Performs the right shift operation. fn shr_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); } /// Provides the power operation inside `self` with a specified /// rounding method. pub trait PowRound<Rhs> { /// The rounding method. type Round; /// The direction from rounding. type Ordering; /// The resulting type after the power operation. type Output; /// Performs the power operation. fn pow_round(self, rhs: Rhs, round: Self::Round) -> (Self::Output, Self::Ordering); }