| [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: // | 
|---|