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  • libcfa/src/rational.hfa

    r5dc4c7e rfd54fef  
    1212// Created On       : Wed Apr  6 17:56:25 2016
    1313// Last Modified By : Peter A. Buhr
    14 // Last Modified On : Tue Jul 20 17:45:29 2021
    15 // Update Count     : 118
     14// Last Modified On : Tue Mar 26 23:16:10 2019
     15// Update Count     : 109
    1616//
    1717
     
    1919
    2020#include "iostream.hfa"
    21 #include "math.trait.hfa"                                                               // Arithmetic
     21
     22trait scalar( T ) {
     23};
     24
     25trait arithmetic( T | scalar( T ) ) {
     26        int !?( T );
     27        int ?==?( T, T );
     28        int ?!=?( T, T );
     29        int ?<?( T, T );
     30        int ?<=?( T, T );
     31        int ?>?( T, T );
     32        int ?>=?( T, T );
     33        void ?{}( T &, zero_t );
     34        void ?{}( T &, one_t );
     35        T +?( T );
     36        T -?( T );
     37        T ?+?( T, T );
     38        T ?-?( T, T );
     39        T ?*?( T, T );
     40        T ?/?( T, T );
     41        T ?%?( T, T );
     42        T ?/=?( T &, T );
     43        T abs( T );
     44};
    2245
    2346// implementation
    2447
    25 forall( T | Arithmetic( T ) ) {
     48forall( RationalImpl | arithmetic( RationalImpl ) ) {
    2649        struct Rational {
    27                 T numerator, denominator;                                               // invariant: denominator > 0
     50                RationalImpl numerator, denominator;                    // invariant: denominator > 0
    2851        }; // Rational
    2952
    3053        // constructors
    3154
    32         void ?{}( Rational(T) & r );
    33         void ?{}( Rational(T) & r, zero_t );
    34         void ?{}( Rational(T) & r, one_t );
    35         void ?{}( Rational(T) & r, T n );
    36         void ?{}( Rational(T) & r, T n, T d );
     55        void ?{}( Rational(RationalImpl) & r );
     56        void ?{}( Rational(RationalImpl) & r, RationalImpl n );
     57        void ?{}( Rational(RationalImpl) & r, RationalImpl n, RationalImpl d );
     58        void ?{}( Rational(RationalImpl) & r, zero_t );
     59        void ?{}( Rational(RationalImpl) & r, one_t );
    3760
    3861        // numerator/denominator getter
    3962
    40         T numerator( Rational(T) r );
    41         T denominator( Rational(T) r );
    42         [ T, T ] ?=?( & [ T, T ] dest, Rational(T) src );
     63        RationalImpl numerator( Rational(RationalImpl) r );
     64        RationalImpl denominator( Rational(RationalImpl) r );
     65        [ RationalImpl, RationalImpl ] ?=?( & [ RationalImpl, RationalImpl ] dest, Rational(RationalImpl) src );
    4366
    4467        // numerator/denominator setter
    4568
    46         T numerator( Rational(T) r, T n );
    47         T denominator( Rational(T) r, T d );
     69        RationalImpl numerator( Rational(RationalImpl) r, RationalImpl n );
     70        RationalImpl denominator( Rational(RationalImpl) r, RationalImpl d );
    4871
    4972        // comparison
    5073
    51         int ?==?( Rational(T) l, Rational(T) r );
    52         int ?!=?( Rational(T) l, Rational(T) r );
    53         int ?!=?( Rational(T) l, zero_t );                                      // => !
    54         int ?<?( Rational(T) l, Rational(T) r );
    55         int ?<=?( Rational(T) l, Rational(T) r );
    56         int ?>?( Rational(T) l, Rational(T) r );
    57         int ?>=?( Rational(T) l, Rational(T) r );
     74        int ?==?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     75        int ?!=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     76        int ?<?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     77        int ?<=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     78        int ?>?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     79        int ?>=?( Rational(RationalImpl) l, Rational(RationalImpl) r );
    5880
    5981        // arithmetic
    6082
    61         Rational(T) +?( Rational(T) r );
    62         Rational(T) -?( Rational(T) r );
    63         Rational(T) ?+?( Rational(T) l, Rational(T) r );
    64         Rational(T) ?+=?( Rational(T) & l, Rational(T) r );
    65         Rational(T) ?+=?( Rational(T) & l, one_t );                     // => ++?, ?++
    66         Rational(T) ?-?( Rational(T) l, Rational(T) r );
    67         Rational(T) ?-=?( Rational(T) & l, Rational(T) r );
    68         Rational(T) ?-=?( Rational(T) & l, one_t );                     // => --?, ?--
    69         Rational(T) ?*?( Rational(T) l, Rational(T) r );
    70         Rational(T) ?*=?( Rational(T) & l, Rational(T) r );
    71         Rational(T) ?/?( Rational(T) l, Rational(T) r );
    72         Rational(T) ?/=?( Rational(T) & l, Rational(T) r );
     83        Rational(RationalImpl) +?( Rational(RationalImpl) r );
     84        Rational(RationalImpl) -?( Rational(RationalImpl) r );
     85        Rational(RationalImpl) ?+?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     86        Rational(RationalImpl) ?-?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     87        Rational(RationalImpl) ?*?( Rational(RationalImpl) l, Rational(RationalImpl) r );
     88        Rational(RationalImpl) ?/?( Rational(RationalImpl) l, Rational(RationalImpl) r );
    7389
    7490        // I/O
    75         forall( istype & | istream( istype ) | { istype & ?|?( istype &, T & ); } )
    76         istype & ?|?( istype &, Rational(T) & );
     91        forall( istype & | istream( istype ) | { istype & ?|?( istype &, RationalImpl & ); } )
     92        istype & ?|?( istype &, Rational(RationalImpl) & );
    7793
    78         forall( ostype & | ostream( ostype ) | { ostype & ?|?( ostype &, T ); } ) {
    79                 ostype & ?|?( ostype &, Rational(T) );
    80                 void ?|?( ostype &, Rational(T) );
     94        forall( ostype & | ostream( ostype ) | { ostype & ?|?( ostype &, RationalImpl ); } ) {
     95                ostype & ?|?( ostype &, Rational(RationalImpl) );
     96                void ?|?( ostype &, Rational(RationalImpl) );
    8197        } // distribution
    8298} // distribution
    8399
    84 forall( T | Arithmetic( T ) | { T ?\?( T, unsigned long ); } ) {
    85         Rational(T) ?\?( Rational(T) x, long int y );
    86         Rational(T) ?\=?( Rational(T) & x, long int y );
    87 } // distribution
     100forall( RationalImpl | arithmetic( RationalImpl ) |{RationalImpl ?\?( RationalImpl, unsigned long );} )
     101Rational(RationalImpl) ?\?( Rational(RationalImpl) x, long int y );
    88102
    89103// conversion
    90 forall( T | Arithmetic( T ) | { double convert( T ); } )
    91 double widen( Rational(T) r );
    92 forall( T | Arithmetic( T ) | { double convert( T );  T convert( double );} )
    93 Rational(T) narrow( double f, T md );
     104forall( RationalImpl | arithmetic( RationalImpl ) | { double convert( RationalImpl ); } )
     105double widen( Rational(RationalImpl) r );
     106forall( RationalImpl | arithmetic( RationalImpl ) | { double convert( RationalImpl );  RationalImpl convert( double );} )
     107Rational(RationalImpl) narrow( double f, RationalImpl md );
    94108
    95109// Local Variables: //
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