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1 dashley 25 // $Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_rats.h,v 1.9 2001/08/15 06:56:05 dtashley Exp $
3     /* GNU multiple precison rational number functions.
4     */
6     //--------------------------------------------------------------------------------
7     //Copyright 2001 David T. Ashley
8     //-------------------------------------------------------------------------------------------------
9     //This source code and any program in which it is compiled/used is provided under the GNU GENERAL
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11     //-------------------------------------------------------------------------------------------------
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686     //-------------------------------------------------------------------------------------------------
687     //--------------------------------------------------------------------------------
688     #ifndef GMP_RATS_H_INCLUDED
689     #define GMP_RATS_H_INCLUDED
691     #ifdef MODULE_GMP_RATS
692     #define DECMOD_GMP_RATS
693     #else
694     #define DECMOD_GMP_RATS extern
695     #endif
697     //The data structure of a rational number. Generally,
698     //it isn't necessary to keep error flags for the rational
699     //number--instead, we can just use the NAN flags of integers,
700     //with the convention that if either of the integers
701     //has any of the NAN flags set, then the rational number
702     //is NAN. This will be good enough. So let's agree
703     //by convention that a rational number is either
704     //valid or NAN--no other possibilities, and nothing more
705     //specific.
706     //
707     //Generally, none of the algorithms in this module make
708     //assumptions about whether the inputs are normalized,
709     //although they may make assurances about whether the
710     //outputs are normalized. Anything except a denominator
711     //of zero is considered acceptable for inputs.
712     //
713     //For the record, "normalized" according to my definition is:
714     // a)Zero has the unique representation 0/1.
715     // b)Numerator and denominator are coprime.
716     // c)Positive rational numbers have positive
717     // components.
718     // d)Negative rational numbers have numerator
719     // negative and denominator positive.
720     typedef struct
721     {
722     GMP_INTS_mpz_struct num;
723     //The numerator.
724     GMP_INTS_mpz_struct den;
725     //The denominator.
726     } GMP_RATS_mpq_struct;
728     /******************************************************************/
729     /*** STATUS FUNCTIONS *******************************************/
730     /******************************************************************/
731     //Functions in this category provide information about rational
732     //numbers.
733     //
734     //Returns TRUE if the rational number is NAN, which means
735     //either integer component with flags set or a denominator
736     //of zero.
738     int GMP_RATS_mpq_is_nan(const GMP_RATS_mpq_struct *rn);
740     /******************************************************************/
742     /******************************************************************/
743     //Allocates an space for integers, initializes a rational number
744     //to 0/1.
746     void GMP_RATS_mpq_init(GMP_RATS_mpq_struct *arg);
747     //Destroys a rational number.
749     void GMP_RATS_mpq_clear(GMP_RATS_mpq_struct *arg);
750     //Sets a rational number to the two integer components
751     //specified. It is not required that these components
752     //be normalized.
754     void GMP_RATS_mpq_set_si(GMP_RATS_mpq_struct *arg,
755     int num,
756     int den);
758     void GMP_RATS_mpq_copy( GMP_RATS_mpq_struct *dst,
759     const GMP_RATS_mpq_struct *src);
761     //Swaps two rational numbers.
763     void GMP_RATS_mpq_swap( GMP_RATS_mpq_struct *a,
764     GMP_RATS_mpq_struct *b);
766     //Swaps numerator and denominator. Simple swap, no normalization.
768     void GMP_RATS_mpq_swap_components(GMP_RATS_mpq_struct *arg);
770     //Sets a rational number to be a slash-separated integer. The
771     //two components (before and after the slash) may be integers
772     //in scientific notation, integers with commas, etc. The
773     //*failure flag is set TRUE if the number could not be parsed.
774     //The rational number involved must already have been initialized,
775     //so space is allocated. The number is not normalized in any
776     //way--the integer components of the rational number are
777     //exactly the slash-separated components. It is possible to
778     //use this function to simply parse to see if one can form
779     //a rational number, but this is an expensive process because
780     //of the allocation and then destruction involved. It seems
781     //possible in the future that one would introduce a function
782     //which won't take the scientifc notation, and so the word
783     //"complex" is included below. Any subsequent function which
784     //won't accept the scientific notation should be called "simple"
785     //instead.
787     void GMP_RATS_mpq_set_complex_slash_sepd_rat_num(const char *s,
788     int *failure,
789     GMP_RATS_mpq_struct *rn);
791     //Attempts to parse and set a rational number expressed in
792     //pure scientific notation.
794     void GMP_RATS_mpq_set_sci_not_rat_num(const char *s,
795     int *failure,
796     GMP_RATS_mpq_struct *rn);
798     //Attempts to parse and set a rational number which might be in
799     //any accepted format.
801     void GMP_RATS_mpq_set_all_format_rat_num(const char *s,
802     int *failure,
803     GMP_RATS_mpq_struct *rn);
805     /******************************************************************/
806     /*** NORMALIZATION FUNCTIONS ************************************/
807     /******************************************************************/
808     //Normalizes only the signs. Non-negative number expressed as +/+,
809     //negative numbers expressed only as -/+.
811     void
812     GMP_RATS_mpq_normalize_sign(GMP_RATS_mpq_struct *rn);
816     void GMP_RATS_mpq_normalize(GMP_RATS_mpq_struct *rn);
818     /******************************************************************/
819     /*** ARITHMETIC FUNCTIONS ***************************************/
820     /******************************************************************/
821     //Adds two rational numbers to produce normalized result.
822     //Args may be same as result. Any NAN inputs result in NAN
823     //output: NAN flagged using 1/0 as return value.
825     void GMP_RATS_mpq_add( GMP_RATS_mpq_struct *result,
826     const GMP_RATS_mpq_struct *arg1,
827     const GMP_RATS_mpq_struct *arg2);
828     //Subtract, follows the same rules as add.
830     void GMP_RATS_mpq_sub( GMP_RATS_mpq_struct *result,
831     const GMP_RATS_mpq_struct *arg1,
832     const GMP_RATS_mpq_struct *arg2);
833     //Multiply.
835     void GMP_RATS_mpq_mul( GMP_RATS_mpq_struct *result,
836     const GMP_RATS_mpq_struct *arg1,
837     const GMP_RATS_mpq_struct *arg2);
838     //Divide.
840     void GMP_RATS_mpq_div( GMP_RATS_mpq_struct *result,
841     const GMP_RATS_mpq_struct *arg1,
842     const GMP_RATS_mpq_struct *arg2);
844     /******************************************************************/
845     /*** COMPARISON FUNCTIONS ***************************************/
846     /******************************************************************/
847     //Compares two rational numbers. The return value is neg if
848     //arg1 < arg2, 0 if arg1 == arg2, and 1 if arg1 > arg2. The
849     //rational numbers passed are not required to be normalized,
850     //either with respect to sign of components or with respect
851     //to coprimality. There are some errors which may occur, either
852     //because a denominator is zero or because intermediate results
853     //overflow as the comparison is made. For that reason, the
854     //"failure" pointer is allowed. If it is NULL, no failure information
855     //is returned and any failure condition results in a return value
856     //of zero and the failure can't be detected by the caller.
857     //If the pointer is not NULL, the failure boolean will be
858     //filled in so the caller can detect it.
859     int GMP_RATS_mpq_cmp(const GMP_RATS_mpq_struct *arg1,
860     const GMP_RATS_mpq_struct *arg2,
861     int *failure);
863     /******************************************************************/
864     /*** VERSION CONTROL REPORTING FUNCTIONS ************************/
865     /******************************************************************/
866     DECMOD_GMP_RATS const char *GMP_RATS_cvcinfo(void);
867     DECMOD_GMP_RATS const char *GMP_RATS_hvcinfo(void);
868     #define GMP_RATS_H_VERSION ("$Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_rats.h,v 1.9 2001/08/15 06:56:05 dtashley Exp $")
869     #endif
872     //**************************************************************************
873     // $Log: gmp_rats.h,v $
874     // Revision 1.9 2001/08/15 06:56:05 dtashley
875     // Substantial progress. Safety check-in.
876     //
877     // Revision 1.8 2001/08/12 10:20:58 dtashley
878     // Safety check-in. Substantial progress.
879     //
880     // Revision 1.7 2001/08/10 00:53:59 dtashley
881     // Completion of basic rational number arithmetic utilities and extensions.
882     //
883     // Revision 1.6 2001/08/08 02:16:51 dtashley
884     // Completion of RNRED utility and ARBINT RNRED Tcl extension.
885     //
886     // Revision 1.5 2001/08/07 10:42:48 dtashley
887     // Completion of CFRATNUM extensions and DOS command-line utility.
888     //
889     // Revision 1.4 2001/07/13 21:02:20 dtashley
890     // Version control reporting changes.
891     //
892     // Revision 1.3 2001/07/13 20:44:42 dtashley
893     // Changes, CVS keyword expansion test.
894     //
895     // Revision 1.2 2001/07/13 00:57:08 dtashley
896     // Safety check-in. Substantial progress on port.
897     //
898     // Revision 1.1 2001/07/12 05:42:06 dtashley
899     // Initial checkin.
900     //
901     //**************************************************************************
902     // End of GMP_RATS.H.

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