[bb82c03] | 1 | // |
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[53ba273] | 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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[bb82c03] | 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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[bb82c03] | 10 | // |
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[53ba273] | 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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[f621a148] | 14 | // Last Modified On : Mon May 1 08:25:06 2017 |
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| 15 | // Update Count : 33 |
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[bb82c03] | 16 | // |
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[f621a148] | 17 | |
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[17e5e2b] | 18 | #ifndef RATIONAL_H |
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| 19 | #define RATIONAL_H |
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[53ba273] | 20 | |
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[3d9b5da] | 21 | #include "iostream" |
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[53ba273] | 22 | |
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[630a82a] | 23 | // implementation |
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[f621a148] | 24 | typedef long int RationalImpl; |
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[53ba273] | 25 | struct Rational { |
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[f621a148] | 26 | RationalImpl numerator, denominator; // invariant: denominator > 0 |
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[53ba273] | 27 | }; // Rational |
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| 28 | |
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[630a82a] | 29 | // constants |
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[53ba273] | 30 | extern struct Rational 0; |
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| 31 | extern struct Rational 1; |
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| 32 | |
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[630a82a] | 33 | // constructors |
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[d1ab5331] | 34 | void ?{}( Rational * r ); |
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[f621a148] | 35 | void ?{}( Rational * r, RationalImpl n ); |
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| 36 | void ?{}( Rational * r, RationalImpl n, RationalImpl d ); |
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[630a82a] | 37 | |
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[f621a148] | 38 | // getter for numerator/denominator |
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| 39 | RationalImpl numerator( Rational r ); |
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| 40 | RationalImpl denominator( Rational r ); |
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| 41 | [ RationalImpl, RationalImpl ] ?=?( * [ RationalImpl, RationalImpl ] dest, Rational src ); |
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| 42 | // setter for numerator/denominator |
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| 43 | RationalImpl numerator( Rational r, RationalImpl n ); |
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| 44 | RationalImpl denominator( Rational r, RationalImpl d ); |
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[630a82a] | 45 | |
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| 46 | // comparison |
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[53ba273] | 47 | int ?==?( Rational l, Rational r ); |
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| 48 | int ?!=?( Rational l, Rational r ); |
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| 49 | int ?<?( Rational l, Rational r ); |
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| 50 | int ?<=?( Rational l, Rational r ); |
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| 51 | int ?>?( Rational l, Rational r ); |
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| 52 | int ?>=?( Rational l, Rational r ); |
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[630a82a] | 53 | |
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| 54 | // arithmetic |
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[53ba273] | 55 | Rational -?( Rational r ); |
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| 56 | Rational ?+?( Rational l, Rational r ); |
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| 57 | Rational ?-?( Rational l, Rational r ); |
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| 58 | Rational ?*?( Rational l, Rational r ); |
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| 59 | Rational ?/?( Rational l, Rational r ); |
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[630a82a] | 60 | |
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| 61 | // conversion |
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[53ba273] | 62 | double widen( Rational r ); |
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[f621a148] | 63 | Rational narrow( double f, RationalImpl md ); |
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[630a82a] | 64 | |
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| 65 | // I/O |
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[3d9b5da] | 66 | forall( dtype istype | istream( istype ) ) istype * ?|?( istype *, Rational * ); |
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| 67 | forall( dtype ostype | ostream( ostype ) ) ostype * ?|?( ostype *, Rational ); |
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[53ba273] | 68 | |
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[17e5e2b] | 69 | #endif // RATIONAL_H |
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| 70 | |
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[53ba273] | 71 | // Local Variables: // |
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| 72 | // mode: c // |
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| 73 | // tab-width: 4 // |
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| 74 | // End: // |
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