| 1 | //
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| 2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
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| 3 | //
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| 4 | // The contents of this file are covered under the licence agreement in the
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| 5 | // file "LICENCE" distributed with Cforall.
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| 6 | //
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| 7 | // rational -- Rational numbers are numbers written as a ratio, i.e., as a fraction, where the numerator (top number)
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| 8 | // and the denominator (bottom number) are whole numbers. When creating and computing with rational numbers, results
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| 9 | // are constantly reduced to keep the numerator and denominator as small as possible.
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| 10 | //
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| 11 | // Author : Peter A. Buhr
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| 12 | // Created On : Wed Apr 6 17:56:25 2016
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| 13 | // Last Modified By : Peter A. Buhr
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| 14 | // Last Modified On : Tue Dec 4 23:07:46 2018
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| 15 | // Update Count : 106
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| 16 | //
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| 17 |
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| 18 | #pragma once
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| 19 |
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| 20 | #include "iostream.hfa"
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| 21 |
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| 22 | trait scalar( otype T ) {
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| 23 | };
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| 24 |
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| 25 | trait arithmetic( otype T | scalar( T ) ) {
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| 26 | int !?( T );
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| 27 | int ?==?( T, T );
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| 28 | int ?!=?( T, T );
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| 29 | int ?<?( T, T );
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| 30 | int ?<=?( T, T );
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| 31 | int ?>?( T, T );
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| 32 | int ?>=?( T, T );
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| 33 | void ?{}( T &, zero_t );
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| 34 | void ?{}( T &, one_t );
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| 35 | T +?( T );
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| 36 | T -?( T );
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| 37 | T ?+?( T, T );
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| 38 | T ?-?( T, T );
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| 39 | T ?*?( T, T );
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| 40 | T ?/?( T, T );
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| 41 | T ?%?( T, T );
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| 42 | T ?/=?( T &, T );
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| 43 | T abs( T );
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| 44 | };
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| 45 |
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| 46 | // implementation
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| 47 |
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| 48 | forall( otype RationalImpl | arithmetic( RationalImpl ) ) {
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| 49 | struct Rational {
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| 50 | RationalImpl numerator, denominator; // invariant: denominator > 0
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| 51 | }; // Rational
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| 52 |
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| 53 | // constructors
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| 54 |
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| 55 | void ?{}( Rational(RationalImpl) & r );
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| 56 | void ?{}( Rational(RationalImpl) & r, RationalImpl n );
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| 57 | void ?{}( Rational(RationalImpl) & r, RationalImpl n, RationalImpl d );
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| 58 | void ?{}( Rational(RationalImpl) & r, zero_t );
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| 59 | void ?{}( Rational(RationalImpl) & r, one_t );
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| 60 |
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| 61 | // numerator/denominator getter
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| 62 |
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| 63 | RationalImpl numerator( Rational(RationalImpl) r );
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| 64 | RationalImpl denominator( Rational(RationalImpl) r );
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| 65 | [ RationalImpl, RationalImpl ] ?=?( & [ RationalImpl, RationalImpl ] dest, Rational(RationalImpl) src );
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| 66 |
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| 67 | // numerator/denominator setter
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| 68 |
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| 69 | RationalImpl numerator( Rational(RationalImpl) r, RationalImpl n );
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| 70 | RationalImpl denominator( Rational(RationalImpl) r, RationalImpl d );
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| 71 |
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| 72 | // comparison
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| 73 |
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| 74 | int ?==?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 75 | int ?!=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 76 | int ?<?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 77 | int ?<=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 78 | int ?>?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 79 | int ?>=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 80 |
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| 81 | // arithmetic
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| 82 |
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| 83 | Rational(RationalImpl) +?( Rational(RationalImpl) r );
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| 84 | Rational(RationalImpl) -?( Rational(RationalImpl) r );
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| 85 | Rational(RationalImpl) ?+?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 86 | Rational(RationalImpl) ?-?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 87 | Rational(RationalImpl) ?*?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 88 | Rational(RationalImpl) ?/?( Rational(RationalImpl) l, Rational(RationalImpl) r );
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| 89 |
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| 90 | // I/O
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| 91 | forall( dtype istype | istream( istype ) | { istype & ?|?( istype &, RationalImpl & ); } )
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| 92 | istype & ?|?( istype &, Rational(RationalImpl) & );
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| 93 |
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| 94 | forall( dtype ostype | ostream( ostype ) | { ostype & ?|?( ostype &, RationalImpl ); } ) {
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| 95 | ostype & ?|?( ostype &, Rational(RationalImpl) );
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| 96 | void ?|?( ostype &, Rational(RationalImpl) );
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| 97 | } // distribution
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| 98 | } // distribution
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| 99 |
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| 100 | // conversion
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| 101 | forall( otype RationalImpl | arithmetic( RationalImpl ) | { double convert( RationalImpl ); } )
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| 102 | double widen( Rational(RationalImpl) r );
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| 103 | forall( otype RationalImpl | arithmetic( RationalImpl ) | { double convert( RationalImpl ); RationalImpl convert( double );} )
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| 104 | Rational(RationalImpl) narrow( double f, RationalImpl md );
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| 105 |
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| 106 | // Local Variables: //
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| 107 | // mode: c //
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| 108 | // tab-width: 4 //
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| 109 | // End: //
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