[53ba273] | 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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[630a82a] | 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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[53ba273] | 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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[d1ab5331] | 14 | // Last Modified On : Wed May 4 14:11:45 2016 |
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| 15 | // Update Count : 16 |
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[53ba273] | 16 | // |
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| 17 | |
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[3d9b5da] | 18 | #include "iostream" |
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[53ba273] | 19 | |
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[630a82a] | 20 | // implementation |
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[53ba273] | 21 | struct Rational { |
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| 22 | long int numerator, denominator; // invariant: denominator > 0 |
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| 23 | }; // Rational |
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| 24 | |
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[630a82a] | 25 | // constants |
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[53ba273] | 26 | extern struct Rational 0; |
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| 27 | extern struct Rational 1; |
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| 28 | |
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[630a82a] | 29 | // constructors |
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[d1ab5331] | 30 | void ?{}( Rational * r ); |
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| 31 | void ?{}( Rational * r, long int n ); |
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| 32 | void ?{}( Rational * r, long int n, long int d ); |
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[630a82a] | 33 | |
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| 34 | // getter/setter for numerator/denominator |
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[53ba273] | 35 | long int numerator( Rational r ); |
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| 36 | long int numerator( Rational r, long int n ); |
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[630a82a] | 37 | long int denominator( Rational r ); |
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[53ba273] | 38 | long int denominator( Rational r, long int d ); |
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[630a82a] | 39 | |
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| 40 | // comparison |
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[53ba273] | 41 | int ?==?( Rational l, Rational r ); |
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| 42 | int ?!=?( Rational l, Rational r ); |
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| 43 | int ?<?( Rational l, Rational r ); |
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| 44 | int ?<=?( Rational l, Rational r ); |
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| 45 | int ?>?( Rational l, Rational r ); |
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| 46 | int ?>=?( Rational l, Rational r ); |
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[630a82a] | 47 | |
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| 48 | // arithmetic |
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[53ba273] | 49 | Rational -?( Rational r ); |
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| 50 | Rational ?+?( Rational l, Rational r ); |
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| 51 | Rational ?-?( Rational l, Rational r ); |
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| 52 | Rational ?*?( Rational l, Rational r ); |
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| 53 | Rational ?/?( Rational l, Rational r ); |
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[630a82a] | 54 | |
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| 55 | // conversion |
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[53ba273] | 56 | double widen( Rational r ); |
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| 57 | Rational narrow( double f, long int md ); |
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[630a82a] | 58 | |
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| 59 | // I/O |
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[3d9b5da] | 60 | forall( dtype istype | istream( istype ) ) istype * ?|?( istype *, Rational * ); |
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| 61 | forall( dtype ostype | ostream( ostype ) ) ostype * ?|?( ostype *, Rational ); |
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[53ba273] | 62 | |
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| 63 | // Local Variables: // |
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| 64 | // mode: c // |
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| 65 | // tab-width: 4 // |
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| 66 | // End: // |
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