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 : Fri Apr 8 11:38:27 2016 |
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15 | // Update Count : 15 |
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16 | // |
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17 | |
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18 | #include "iostream" |
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19 | |
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20 | // implementation |
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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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25 | // constants |
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26 | extern struct Rational 0; |
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27 | extern struct Rational 1; |
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28 | |
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29 | // constructors |
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30 | Rational rational(); |
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31 | Rational rational( long int n ); |
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32 | Rational rational( long int n, long int d ); |
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33 | |
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34 | // getter/setter for numerator/denominator |
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35 | long int numerator( Rational r ); |
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36 | long int numerator( Rational r, long int n ); |
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37 | long int denominator( Rational r ); |
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38 | long int denominator( Rational r, long int d ); |
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39 | |
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40 | // comparison |
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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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47 | |
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48 | // arithmetic |
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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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54 | |
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55 | // conversion |
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56 | double widen( Rational r ); |
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57 | Rational narrow( double f, long int md ); |
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58 | |
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59 | // I/O |
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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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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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