| [53ba273] | 1 | // 
 | 
|---|
 | 2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
 | 
|---|
 | 3 | //
 | 
|---|
 | 4 | // The contents of this file are covered under the licence agreement in the
 | 
|---|
 | 5 | // file "LICENCE" distributed with Cforall.
 | 
|---|
 | 6 | // 
 | 
|---|
| [630a82a] | 7 | // rational -- Rational numbers are numbers written as a ratio, i.e., as a fraction, where the numerator (top number)
 | 
|---|
 | 8 | //     and the denominator (bottom number) are whole numbers. When creating and computing with rational numbers, results
 | 
|---|
 | 9 | //     are constantly reduced to keep the numerator and denominator as small as possible.
 | 
|---|
| [53ba273] | 10 | // 
 | 
|---|
 | 11 | // Author           : Peter A. Buhr
 | 
|---|
 | 12 | // Created On       : Wed Apr  6 17:56:25 2016
 | 
|---|
 | 13 | // Last Modified By : Peter A. Buhr
 | 
|---|
| [d1ab5331] | 14 | // Last Modified On : Wed May  4 14:11:45 2016
 | 
|---|
 | 15 | // Update Count     : 16
 | 
|---|
| [53ba273] | 16 | // 
 | 
|---|
 | 17 | 
 | 
|---|
| [3d9b5da] | 18 | #include "iostream"
 | 
|---|
| [53ba273] | 19 | 
 | 
|---|
| [630a82a] | 20 | // implementation
 | 
|---|
| [53ba273] | 21 | struct Rational {
 | 
|---|
 | 22 |         long int numerator, denominator;                                        // invariant: denominator > 0
 | 
|---|
 | 23 | }; // Rational
 | 
|---|
 | 24 | 
 | 
|---|
| [630a82a] | 25 | // constants
 | 
|---|
| [53ba273] | 26 | extern struct Rational 0;
 | 
|---|
 | 27 | extern struct Rational 1;
 | 
|---|
 | 28 | 
 | 
|---|
| [630a82a] | 29 | // constructors
 | 
|---|
| [d1ab5331] | 30 | void ?{}( Rational * r );
 | 
|---|
 | 31 | void ?{}( Rational * r, long int n );
 | 
|---|
 | 32 | void ?{}( Rational * r, long int n, long int d );
 | 
|---|
| [630a82a] | 33 | 
 | 
|---|
 | 34 | // getter/setter for numerator/denominator
 | 
|---|
| [53ba273] | 35 | long int numerator( Rational r );
 | 
|---|
 | 36 | long int numerator( Rational r, long int n );
 | 
|---|
| [630a82a] | 37 | long int denominator( Rational r );
 | 
|---|
| [53ba273] | 38 | long int denominator( Rational r, long int d );
 | 
|---|
| [630a82a] | 39 | 
 | 
|---|
 | 40 | // comparison
 | 
|---|
| [53ba273] | 41 | int ?==?( Rational l, Rational r );
 | 
|---|
 | 42 | int ?!=?( Rational l, Rational r );
 | 
|---|
 | 43 | int ?<?( Rational l, Rational r );
 | 
|---|
 | 44 | int ?<=?( Rational l, Rational r );
 | 
|---|
 | 45 | int ?>?( Rational l, Rational r );
 | 
|---|
 | 46 | int ?>=?( Rational l, Rational r );
 | 
|---|
| [630a82a] | 47 | 
 | 
|---|
 | 48 | // arithmetic
 | 
|---|
| [53ba273] | 49 | Rational -?( Rational r );
 | 
|---|
 | 50 | Rational ?+?( Rational l, Rational r );
 | 
|---|
 | 51 | Rational ?-?( Rational l, Rational r );
 | 
|---|
 | 52 | Rational ?*?( Rational l, Rational r );
 | 
|---|
 | 53 | Rational ?/?( Rational l, Rational r );
 | 
|---|
| [630a82a] | 54 | 
 | 
|---|
 | 55 | // conversion
 | 
|---|
| [53ba273] | 56 | double widen( Rational r );
 | 
|---|
 | 57 | Rational narrow( double f, long int md );
 | 
|---|
| [630a82a] | 58 | 
 | 
|---|
 | 59 | // I/O
 | 
|---|
| [3d9b5da] | 60 | forall( dtype istype | istream( istype ) ) istype * ?|?( istype *, Rational * );
 | 
|---|
 | 61 | forall( dtype ostype | ostream( ostype ) ) ostype * ?|?( ostype *, Rational );
 | 
|---|
| [53ba273] | 62 | 
 | 
|---|
 | 63 | // Local Variables: //
 | 
|---|
 | 64 | // mode: c //
 | 
|---|
 | 65 | // tab-width: 4 //
 | 
|---|
 | 66 | // End: //
 | 
|---|