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// $Header: /cvsroot/esrg/sfesrg/esrgpcpj/cfbrapab/c_main.c,v 1.6 2002/01/27 17:58:15 dtashley Exp $
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//--------------------------------------------------------------------------------
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//Copyright 2008 David T. Ashley
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//-------------------------------------------------------------------------------------------------
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//This source code and any program in which it is compiled/used is provided under the GNU GENERAL
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//PUBLIC LICENSE, Version 3, full license text below.
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//-------------------------------------------------------------------------------------------------
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// GNU GENERAL PUBLIC LICENSE
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// Version 3, 29 June 2007
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//
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// Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
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//
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|
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|
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//
|
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|
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|
569 |
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|
570 |
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//
|
571 |
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|
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|
577 |
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//
|
578 |
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// Each version is given a distinguishing version number. If the
|
579 |
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581 |
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|
582 |
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|
583 |
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|
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|
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|
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//
|
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|
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|
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|
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|
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|
592 |
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|
596 |
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//
|
597 |
|
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// 15. Disclaimer of Warranty.
|
598 |
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//
|
599 |
|
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// THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
600 |
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|
601 |
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//HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
602 |
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|
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|
604 |
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//PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
605 |
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//IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
606 |
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//ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
607 |
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|
//
|
608 |
|
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// 16. Limitation of Liability.
|
609 |
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//
|
610 |
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// IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
611 |
|
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//WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
612 |
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|
613 |
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//GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
614 |
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//USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
615 |
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//DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
616 |
|
|
//PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
617 |
|
|
//EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
618 |
|
|
//SUCH DAMAGES.
|
619 |
|
|
//
|
620 |
|
|
// 17. Interpretation of Sections 15 and 16.
|
621 |
|
|
//
|
622 |
|
|
// If the disclaimer of warranty and limitation of liability provided
|
623 |
|
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|
624 |
|
|
//reviewing courts shall apply local law that most closely approximates
|
625 |
|
|
//an absolute waiver of all civil liability in connection with the
|
626 |
|
|
//Program, unless a warranty or assumption of liability accompanies a
|
627 |
|
|
//copy of the Program in return for a fee.
|
628 |
|
|
//
|
629 |
|
|
// END OF TERMS AND CONDITIONS
|
630 |
|
|
//
|
631 |
|
|
// How to Apply These Terms to Your New Programs
|
632 |
|
|
//
|
633 |
|
|
// If you develop a new program, and you want it to be of the greatest
|
634 |
|
|
//possible use to the public, the best way to achieve this is to make it
|
635 |
|
|
//free software which everyone can redistribute and change under these terms.
|
636 |
|
|
//
|
637 |
|
|
// To do so, attach the following notices to the program. It is safest
|
638 |
|
|
//to attach them to the start of each source file to most effectively
|
639 |
|
|
//state the exclusion of warranty; and each file should have at least
|
640 |
|
|
//the "copyright" line and a pointer to where the full notice is found.
|
641 |
|
|
//
|
642 |
|
|
// <one line to give the program's name and a brief idea of what it does.>
|
643 |
|
|
// Copyright (C) <year> <name of author>
|
644 |
|
|
//
|
645 |
|
|
// This program is free software: you can redistribute it and/or modify
|
646 |
|
|
// it under the terms of the GNU General Public License as published by
|
647 |
|
|
// the Free Software Foundation, either version 3 of the License, or
|
648 |
|
|
// (at your option) any later version.
|
649 |
|
|
//
|
650 |
|
|
// This program is distributed in the hope that it will be useful,
|
651 |
|
|
// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
652 |
|
|
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
653 |
|
|
// GNU General Public License for more details.
|
654 |
|
|
//
|
655 |
|
|
// You should have received a copy of the GNU General Public License
|
656 |
|
|
// along with this program. If not, see <http://www.gnu.org/licenses/>.
|
657 |
|
|
//
|
658 |
|
|
//Also add information on how to contact you by electronic and paper mail.
|
659 |
|
|
//
|
660 |
|
|
// If the program does terminal interaction, make it output a short
|
661 |
|
|
//notice like this when it starts in an interactive mode:
|
662 |
|
|
//
|
663 |
|
|
// <program> Copyright (C) <year> <name of author>
|
664 |
|
|
// This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
665 |
|
|
// This is free software, and you are welcome to redistribute it
|
666 |
|
|
// under certain conditions; type `show c' for details.
|
667 |
|
|
//
|
668 |
|
|
//The hypothetical commands `show w' and `show c' should show the appropriate
|
669 |
|
|
//parts of the General Public License. Of course, your program's commands
|
670 |
|
|
//might be different; for a GUI interface, you would use an "about box".
|
671 |
|
|
//
|
672 |
|
|
// You should also get your employer (if you work as a programmer) or school,
|
673 |
|
|
//if any, to sign a "copyright disclaimer" for the program, if necessary.
|
674 |
|
|
//For more information on this, and how to apply and follow the GNU GPL, see
|
675 |
|
|
//<http://www.gnu.org/licenses/>.
|
676 |
|
|
//
|
677 |
|
|
// The GNU General Public License does not permit incorporating your program
|
678 |
|
|
//into proprietary programs. If your program is a subroutine library, you
|
679 |
|
|
//may consider it more useful to permit linking proprietary applications with
|
680 |
|
|
//the library. If this is what you want to do, use the GNU Lesser General
|
681 |
|
|
//Public License instead of this License. But first, please read
|
682 |
|
|
//<http://www.gnu.org/philosophy/why-not-lgpl.html>.
|
683 |
|
|
//-------------------------------------------------------------------------------------------------
|
684 |
|
|
//--------------------------------------------------------------------------------
|
685 |
|
|
#include <assert.h>
|
686 |
|
|
#include <malloc.h>
|
687 |
|
|
#include <process.h>
|
688 |
|
|
#include <stdio.h>
|
689 |
|
|
#include <string.h>
|
690 |
|
|
#include <time.h>
|
691 |
|
|
|
692 |
|
|
|
693 |
|
|
#include "bstrfunc.h"
|
694 |
|
|
#include "ccmalloc.h"
|
695 |
|
|
#include "ccmfatal.h"
|
696 |
|
|
#include "charfunc.h"
|
697 |
|
|
#include "cu_msgs.h"
|
698 |
|
|
#include "fcmiof.h"
|
699 |
|
|
#include "gmp_ints.h"
|
700 |
|
|
#include "gmp_rats.h"
|
701 |
|
|
#include "gmp_ralg.h"
|
702 |
|
|
#include "intfunc.h"
|
703 |
|
|
|
704 |
|
|
|
705 |
|
|
#define PNAME "cfbrapab"
|
706 |
|
|
#define PNAMEUC "CFBRAPAB"
|
707 |
|
|
|
708 |
|
|
|
709 |
|
|
const char *C_MAIN_cvcinfo(void)
|
710 |
|
|
{
|
711 |
|
|
return("$Header: /cvsroot/esrg/sfesrg/esrgpcpj/cfbrapab/c_main.c,v 1.6 2002/01/27 17:58:15 dtashley Exp $");
|
712 |
|
|
}
|
713 |
|
|
|
714 |
|
|
|
715 |
|
|
//This is a NULL-terminated table of pointers to functions
|
716 |
|
|
//which return version control strings for all of the files
|
717 |
|
|
//which make up the INTFAC program. This information would
|
718 |
|
|
//be helpful for debugging.
|
719 |
|
|
static const char *(*C_MAIN_vcinfoptrs[])(void) =
|
720 |
|
|
{
|
721 |
|
|
//This is the main module, should come first.
|
722 |
|
|
C_MAIN_cvcinfo,
|
723 |
|
|
|
724 |
|
|
//And now the others, in alphabetical order.
|
725 |
|
|
BSTRFUNC_hvcinfo,
|
726 |
|
|
BSTRFUNC_cvcinfo,
|
727 |
|
|
CCMALLOC_hvcinfo,
|
728 |
|
|
CCMALLOC_cvcinfo,
|
729 |
|
|
CCMFATAL_hvcinfo,
|
730 |
|
|
CCMFATAL_cvcinfo,
|
731 |
|
|
CHARFUNC_hvcinfo,
|
732 |
|
|
CHARFUNC_cvcinfo,
|
733 |
|
|
CU_MSGS_hvcinfo,
|
734 |
|
|
CU_MSGS_cvcinfo,
|
735 |
|
|
FCMIOF_hvcinfo,
|
736 |
|
|
FCMIOF_cvcinfo,
|
737 |
|
|
GMP_INTS_hvcinfo,
|
738 |
|
|
GMP_INTS_cvcinfo,
|
739 |
|
|
GMP_RALG_hvcinfo,
|
740 |
|
|
GMP_RALG_cvcinfo,
|
741 |
|
|
GMP_RATS_hvcinfo,
|
742 |
|
|
GMP_RATS_cvcinfo,
|
743 |
|
|
INTFUNC_hvcinfo,
|
744 |
|
|
INTFUNC_cvcinfo,
|
745 |
|
|
NULL
|
746 |
|
|
};
|
747 |
|
|
|
748 |
|
|
|
749 |
|
|
//This is the structure type used to hold information about all the
|
750 |
|
|
//command-line parameters.
|
751 |
|
|
//
|
752 |
|
|
struct CfbrapabCmainStruct
|
753 |
|
|
{
|
754 |
|
|
GMP_RATS_mpq_struct rn;
|
755 |
|
|
//The rational number specified on the command line.
|
756 |
|
|
//symmetry.
|
757 |
|
|
GMP_INTS_mpz_struct kmax;
|
758 |
|
|
//The value of KMAX specified on the command line. This must always
|
759 |
|
|
//be present.
|
760 |
|
|
int hmax_specified;
|
761 |
|
|
//TRUE if HMAX is specified in addition to KMAX. KMAX is mandatory
|
762 |
|
|
//in all cases.
|
763 |
|
|
GMP_INTS_mpz_struct hmax;
|
764 |
|
|
//The value of HMAX if it is specified. This is optional. This will be
|
765 |
|
|
//set to zero if it is not present on the command line.
|
766 |
|
|
int neversmaller_specified;
|
767 |
|
|
//TRUE if the -neversmaller option is specified on the command line.
|
768 |
|
|
int neverlarger_specified;
|
769 |
|
|
//TRUE if the -neverlarger option is specified on the command line.
|
770 |
|
|
int pred_specified;
|
771 |
|
|
//TRUE if the -pred option is specified on the command line.
|
772 |
|
|
int succ_specified;
|
773 |
|
|
//TRUE if the -succ option specified on the command line.
|
774 |
|
|
int n_specified;
|
775 |
|
|
//TRUE if the -n parameter is specified on the command line.
|
776 |
|
|
unsigned n;
|
777 |
|
|
//The value of n if it has been specified.
|
778 |
|
|
CU_MSGS_std_cmd_line_par_results_struct argblock;
|
779 |
|
|
//The block holding the options which are common across all
|
780 |
|
|
//of these command-line utilities.
|
781 |
|
|
};
|
782 |
|
|
|
783 |
|
|
|
784 |
|
|
//Processes the command-line parameters, and abstracts it to a
|
785 |
|
|
//the contents of a structure plus a failure flag.
|
786 |
|
|
static void process_command_line_args(struct CfbrapabCmainStruct *parblock,
|
787 |
|
|
int argc,
|
788 |
|
|
char* argv[])
|
789 |
|
|
{
|
790 |
|
|
int error_flag;
|
791 |
|
|
int first_dashed_parameter;
|
792 |
|
|
int i;
|
793 |
|
|
int recognized;
|
794 |
|
|
|
795 |
|
|
//Eyeball the input parameters.
|
796 |
|
|
assert(parblock != NULL);
|
797 |
|
|
assert(argc >= 1);
|
798 |
|
|
assert(argv != NULL);
|
799 |
|
|
|
800 |
|
|
//We have to have at least 3 total parameters. However, this is covered
|
801 |
|
|
//in main().
|
802 |
|
|
|
803 |
|
|
//Process the first parameter, which has to be the rational number we
|
804 |
|
|
//want to approximate. If there is a problem, give a helpful message
|
805 |
|
|
//and exit with an error code.
|
806 |
|
|
GMP_RATS_mpq_init(&(parblock->rn));
|
807 |
|
|
GMP_RATS_mpq_set_all_format_rat_num( argv[1],
|
808 |
|
|
&error_flag,
|
809 |
|
|
&(parblock->rn));
|
810 |
|
|
|
811 |
|
|
//If there was a parse error, announce and abort.
|
812 |
|
|
if (error_flag || GMP_RATS_mpq_is_nan(&(parblock->rn)))
|
813 |
|
|
{
|
814 |
|
|
printf("\"%s\" is not a properly formatted rational number.\n", argv[1]);
|
815 |
|
|
exit(4);
|
816 |
|
|
}
|
817 |
|
|
|
818 |
|
|
//Normalize the rational number specified as input. It is allowed to
|
819 |
|
|
//be negative.
|
820 |
|
|
GMP_RATS_mpq_normalize(&(parblock->rn));
|
821 |
|
|
|
822 |
|
|
//The next item has to be a number, it has to be
|
823 |
|
|
//an integer, it has to be positive, and it
|
824 |
|
|
//is KMAX. Parse out that. If there are any
|
825 |
|
|
//errors, abort.
|
826 |
|
|
GMP_INTS_mpz_init(&(parblock->kmax));
|
827 |
|
|
GMP_INTS_mpz_set_general_int(&(parblock->kmax), &error_flag, argv[2]);
|
828 |
|
|
if (error_flag || GMP_INTS_mpz_is_zero(&(parblock->kmax)) || GMP_INTS_mpz_is_neg(&(parblock->kmax)))
|
829 |
|
|
{
|
830 |
|
|
printf("\"%s\" is not a properly formatted positive integer.\n", argv[2]);
|
831 |
|
|
exit(4);
|
832 |
|
|
}
|
833 |
|
|
|
834 |
|
|
//Unconditionally allocate space for hmax.
|
835 |
|
|
GMP_INTS_mpz_init(&(parblock->hmax));
|
836 |
|
|
|
837 |
|
|
//If there is a third parameter, it can be two things. It can
|
838 |
|
|
//be either HMAX, or it can be the start of the parameters
|
839 |
|
|
//with dashes. First, let's decide which case applies.
|
840 |
|
|
if (argc <= 3)
|
841 |
|
|
{
|
842 |
|
|
first_dashed_parameter = 3;
|
843 |
|
|
parblock->hmax_specified = 0;
|
844 |
|
|
}
|
845 |
|
|
else
|
846 |
|
|
{
|
847 |
|
|
if (argv[3][0] == '-')
|
848 |
|
|
{
|
849 |
|
|
first_dashed_parameter = 3;
|
850 |
|
|
parblock->hmax_specified = 0;
|
851 |
|
|
}
|
852 |
|
|
else
|
853 |
|
|
{
|
854 |
|
|
first_dashed_parameter = 4;
|
855 |
|
|
parblock->hmax_specified = 1;
|
856 |
|
|
|
857 |
|
|
GMP_INTS_mpz_set_general_int(&(parblock->hmax), &error_flag, argv[3]);
|
858 |
|
|
if (error_flag || GMP_INTS_mpz_is_zero(&(parblock->hmax)) || GMP_INTS_mpz_is_neg(&(parblock->hmax)))
|
859 |
|
|
{
|
860 |
|
|
printf("\"%s\" is not a properly formatted positive integer.\n", argv[3]);
|
861 |
|
|
exit(4);
|
862 |
|
|
}
|
863 |
|
|
}
|
864 |
|
|
}
|
865 |
|
|
|
866 |
|
|
//Loop through the remaining parameters, trying to process each
|
867 |
|
|
//one either as a parameter specific to this program or else
|
868 |
|
|
//as a general parameter.
|
869 |
|
|
//
|
870 |
|
|
//Initialize the internal general parameter block.
|
871 |
|
|
CU_MSGS_cmd_line_par_results_struct_create(&(parblock->argblock));
|
872 |
|
|
parblock->neversmaller_specified = 0;
|
873 |
|
|
parblock->neverlarger_specified = 0;
|
874 |
|
|
parblock->pred_specified = 0;
|
875 |
|
|
parblock->succ_specified = 0;
|
876 |
|
|
parblock->n_specified = 0;
|
877 |
|
|
parblock->n = 0;
|
878 |
|
|
|
879 |
|
|
for (i=first_dashed_parameter; i<argc; i++)
|
880 |
|
|
{
|
881 |
|
|
if (!strcmp("-neversmaller", argv[i]))
|
882 |
|
|
{
|
883 |
|
|
parblock->neversmaller_specified = 1;
|
884 |
|
|
}
|
885 |
|
|
else if (!strcmp("-neverlarger", argv[i]))
|
886 |
|
|
{
|
887 |
|
|
parblock->neverlarger_specified = 1;
|
888 |
|
|
}
|
889 |
|
|
else if (!strcmp("-pred", argv[i]))
|
890 |
|
|
{
|
891 |
|
|
parblock->pred_specified = 1;
|
892 |
|
|
}
|
893 |
|
|
else if (!strcmp("-succ", argv[i]))
|
894 |
|
|
{
|
895 |
|
|
parblock->succ_specified = 1;
|
896 |
|
|
}
|
897 |
|
|
else if (!strcmp("-n", argv[i]))
|
898 |
|
|
{
|
899 |
|
|
parblock->n_specified = 1;
|
900 |
|
|
|
901 |
|
|
//To go along with -n, we have to have a next parameter.
|
902 |
|
|
if (i == (argc-1))
|
903 |
|
|
{
|
904 |
|
|
printf("The \"-n\" parameter must include a following count.\n");
|
905 |
|
|
exit(4);
|
906 |
|
|
}
|
907 |
|
|
|
908 |
|
|
//Bump i to index to next par.
|
909 |
|
|
i++;
|
910 |
|
|
|
911 |
|
|
//Try to parse this as a UINT24. It must be that.
|
912 |
|
|
GMP_INTS_mpz_parse_into_uint32(&(parblock->n), &error_flag, argv[i]);
|
913 |
|
|
|
914 |
|
|
//If it couldn't be parsed as an integer, flunk it.
|
915 |
|
|
if (error_flag)
|
916 |
|
|
{
|
917 |
|
|
printf("\"%s\" is not a valid unsigned integer or exceeds 24 bits.\n", argv[i]);
|
918 |
|
|
exit(4);
|
919 |
|
|
}
|
920 |
|
|
|
921 |
|
|
//If it is too large, flunk it.
|
922 |
|
|
if (parblock->n > 0x00FFFFFF)
|
923 |
|
|
{
|
924 |
|
|
printf("\"%s\" is an unsigned integer but exceeds 24 bits.\n", argv[i]);
|
925 |
|
|
exit(4);
|
926 |
|
|
}
|
927 |
|
|
|
928 |
|
|
//OK, we're cool ...
|
929 |
|
|
}
|
930 |
|
|
else
|
931 |
|
|
{
|
932 |
|
|
//Two possibilities left. Either general parameter, or else unrecognized.
|
933 |
|
|
CU_MSGS_cmd_line_par_results_struct_process_arg(&(parblock->argblock),
|
934 |
|
|
argv[i],
|
935 |
|
|
&recognized);
|
936 |
|
|
if (!recognized)
|
937 |
|
|
{
|
938 |
|
|
printf("\"%s\" is not a recognized command-line parameter.\n", argv[i]);
|
939 |
|
|
exit(4);
|
940 |
|
|
}
|
941 |
|
|
|
942 |
|
|
//Was picked up as general parameter.
|
943 |
|
|
}
|
944 |
|
|
}
|
945 |
|
|
|
946 |
|
|
//Congeal our thoughts on the "general" command-line parameters. No errors possible
|
947 |
|
|
//here.
|
948 |
|
|
CU_MSGS_cmd_line_par_results_struct_finalize(&(parblock->argblock));
|
949 |
|
|
|
950 |
|
|
//printf("Boo.\n");
|
951 |
|
|
//printf("neverlarger %d succ %d\n", parblock->neverlarger_specified, parblock->succ_specified);
|
952 |
|
|
|
953 |
|
|
//Look for mutually exclusive options among the program-specific parameters.
|
954 |
|
|
if (
|
955 |
|
|
(parblock->neversmaller_specified && (parblock->neverlarger_specified || parblock->pred_specified || parblock->succ_specified|| parblock->n_specified))
|
956 |
|
|
||
|
957 |
|
|
(parblock->neverlarger_specified && (parblock->pred_specified || parblock->succ_specified || parblock->n_specified))
|
958 |
|
|
||
|
959 |
|
|
(parblock->pred_specified && (parblock->succ_specified|| parblock->n_specified))
|
960 |
|
|
||
|
961 |
|
|
(parblock->succ_specified && parblock->n_specified)
|
962 |
|
|
)
|
963 |
|
|
{
|
964 |
|
|
printf("The \"-neversmaller\", \"-neverlarger\", \"-pred\", \"-succ\", and \"-n\" options are\nmutually exclusive.\n");
|
965 |
|
|
exit(4);
|
966 |
|
|
}
|
967 |
|
|
|
968 |
|
|
//OK, we're clean, all pars in order.
|
969 |
|
|
}
|
970 |
|
|
|
971 |
|
|
|
972 |
|
|
//Releases the dynamic memory associated with the parameter block.
|
973 |
|
|
static void release_command_line_args(struct CfbrapabCmainStruct *parblock)
|
974 |
|
|
{
|
975 |
|
|
assert(parblock != NULL);
|
976 |
|
|
|
977 |
|
|
//This function is superfluous, since in a command-line utility it doesn't really
|
978 |
|
|
//matter if everything is released. But, here goes.
|
979 |
|
|
CU_MSGS_cmd_line_par_results_struct_destroy(&(parblock->argblock));
|
980 |
|
|
GMP_RATS_mpq_clear(&(parblock->rn));
|
981 |
|
|
GMP_INTS_mpz_clear(&(parblock->kmax));
|
982 |
|
|
GMP_INTS_mpz_clear(&(parblock->hmax));
|
983 |
|
|
}
|
984 |
|
|
|
985 |
|
|
|
986 |
|
|
//Prints out a single rational number in the format endorsed
|
987 |
|
|
//by this program. This often includes DAP information
|
988 |
|
|
//and difference information. It is assumed that the
|
989 |
|
|
//previous information is terminated by a horizontal line,
|
990 |
|
|
//and this function terminates with a horizontal line.
|
991 |
|
|
static void CMAIN_print_app_in_std_form(FILE *s,
|
992 |
|
|
int index,
|
993 |
|
|
GMP_RATS_mpq_struct *rn,
|
994 |
|
|
GMP_RATS_mpq_struct *approx,
|
995 |
|
|
int nf,
|
996 |
|
|
int show_diff,
|
997 |
|
|
int show_dap,
|
998 |
|
|
GMP_INTS_mpz_struct *dap_den)
|
999 |
|
|
{
|
1000 |
|
|
char sbuf[250];
|
1001 |
|
|
GMP_RATS_mpq_struct diff, q_temp1;
|
1002 |
|
|
GMP_INTS_mpz_struct z_temp1, quotient, remainder;
|
1003 |
|
|
|
1004 |
|
|
//Eyeball the input parameters.
|
1005 |
|
|
assert(s != NULL);
|
1006 |
|
|
assert(rn != NULL);
|
1007 |
|
|
assert(approx != NULL);
|
1008 |
|
|
assert(dap_den != NULL);
|
1009 |
|
|
|
1010 |
|
|
//Allocate.
|
1011 |
|
|
GMP_RATS_mpq_init(&diff);
|
1012 |
|
|
GMP_RATS_mpq_init(&q_temp1);
|
1013 |
|
|
GMP_INTS_mpz_init(&z_temp1);
|
1014 |
|
|
GMP_INTS_mpz_init("ient);
|
1015 |
|
|
GMP_INTS_mpz_init(&remainder);
|
1016 |
|
|
|
1017 |
|
|
//Print out the approximation numerator.
|
1018 |
|
|
sprintf(sbuf, "approx_num(%d)", index);
|
1019 |
|
|
if (!nf)
|
1020 |
|
|
{
|
1021 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1022 |
|
|
&(approx->num),
|
1023 |
|
|
sbuf);
|
1024 |
|
|
}
|
1025 |
|
|
else
|
1026 |
|
|
{
|
1027 |
|
|
int nreserved;
|
1028 |
|
|
char *p;
|
1029 |
|
|
|
1030 |
|
|
fprintf(s, "%d\n", index);
|
1031 |
|
|
|
1032 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(&(approx->num));
|
1033 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1034 |
|
|
GMP_INTS_mpz_to_string(p, &(approx->num));
|
1035 |
|
|
fprintf(s, "%s\n", p);
|
1036 |
|
|
CCMALLOC_free(p);
|
1037 |
|
|
}
|
1038 |
|
|
|
1039 |
|
|
if (!nf)
|
1040 |
|
|
FCMIOF_hline();
|
1041 |
|
|
|
1042 |
|
|
//Print out the approximation denominator.
|
1043 |
|
|
sprintf(sbuf, "approx_den(%d)", index);
|
1044 |
|
|
if (!nf)
|
1045 |
|
|
{
|
1046 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1047 |
|
|
&(approx->den),
|
1048 |
|
|
sbuf);
|
1049 |
|
|
}
|
1050 |
|
|
else
|
1051 |
|
|
{
|
1052 |
|
|
int nreserved;
|
1053 |
|
|
char *p;
|
1054 |
|
|
|
1055 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(&(approx->den));
|
1056 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1057 |
|
|
GMP_INTS_mpz_to_string(p, &(approx->den));
|
1058 |
|
|
fprintf(s, "%s\n", p);
|
1059 |
|
|
CCMALLOC_free(p);
|
1060 |
|
|
}
|
1061 |
|
|
|
1062 |
|
|
if (!nf)
|
1063 |
|
|
FCMIOF_hline();
|
1064 |
|
|
|
1065 |
|
|
|
1066 |
|
|
//If the "dap" flag is set, calculate and display decimal equivalent of the
|
1067 |
|
|
//approximation.
|
1068 |
|
|
if (show_dap)
|
1069 |
|
|
{
|
1070 |
|
|
//Make the calculation for decimal approximation.
|
1071 |
|
|
GMP_RATS_mpq_copy(&q_temp1, approx);
|
1072 |
|
|
GMP_RATS_mpq_normalize(&q_temp1);
|
1073 |
|
|
GMP_INTS_mpz_mul(&z_temp1, dap_den, &q_temp1.num);
|
1074 |
|
|
GMP_INTS_mpz_tdiv_qr("ient, &remainder,
|
1075 |
|
|
&z_temp1, &q_temp1.den);
|
1076 |
|
|
|
1077 |
|
|
sprintf(sbuf, "dap_num(%d)", index);
|
1078 |
|
|
if (!nf)
|
1079 |
|
|
{
|
1080 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1081 |
|
|
&(quotient),
|
1082 |
|
|
sbuf);
|
1083 |
|
|
}
|
1084 |
|
|
else
|
1085 |
|
|
{
|
1086 |
|
|
int nreserved;
|
1087 |
|
|
char *p;
|
1088 |
|
|
|
1089 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(&(quotient));
|
1090 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1091 |
|
|
GMP_INTS_mpz_to_string(p, &(quotient));
|
1092 |
|
|
fprintf(s, "%s\n", p);
|
1093 |
|
|
CCMALLOC_free(p);
|
1094 |
|
|
}
|
1095 |
|
|
|
1096 |
|
|
if (!nf)
|
1097 |
|
|
FCMIOF_hline();
|
1098 |
|
|
|
1099 |
|
|
//Print out the approximation denominator.
|
1100 |
|
|
sprintf(sbuf, "dap_den(%d)", index);
|
1101 |
|
|
if (!nf)
|
1102 |
|
|
{
|
1103 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1104 |
|
|
dap_den,
|
1105 |
|
|
sbuf);
|
1106 |
|
|
}
|
1107 |
|
|
else
|
1108 |
|
|
{
|
1109 |
|
|
int nreserved;
|
1110 |
|
|
char *p;
|
1111 |
|
|
|
1112 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(dap_den);
|
1113 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1114 |
|
|
GMP_INTS_mpz_to_string(p, dap_den);
|
1115 |
|
|
fprintf(s, "%s\n", p);
|
1116 |
|
|
CCMALLOC_free(p);
|
1117 |
|
|
}
|
1118 |
|
|
|
1119 |
|
|
if (!nf)
|
1120 |
|
|
FCMIOF_hline();
|
1121 |
|
|
}
|
1122 |
|
|
|
1123 |
|
|
|
1124 |
|
|
//If the "diff" flag is set, calculate and display the rational difference.
|
1125 |
|
|
if (show_diff)
|
1126 |
|
|
{
|
1127 |
|
|
GMP_RATS_mpq_sub(&diff, approx, rn);
|
1128 |
|
|
GMP_RATS_mpq_normalize(&diff);
|
1129 |
|
|
|
1130 |
|
|
sprintf(sbuf, "error_num(%d)", index);
|
1131 |
|
|
if (!nf)
|
1132 |
|
|
{
|
1133 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1134 |
|
|
&(diff.num),
|
1135 |
|
|
sbuf);
|
1136 |
|
|
}
|
1137 |
|
|
else
|
1138 |
|
|
{
|
1139 |
|
|
int nreserved;
|
1140 |
|
|
char *p;
|
1141 |
|
|
|
1142 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(&(diff.num));
|
1143 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1144 |
|
|
GMP_INTS_mpz_to_string(p, &(diff.num));
|
1145 |
|
|
fprintf(s, "%s\n", p);
|
1146 |
|
|
CCMALLOC_free(p);
|
1147 |
|
|
}
|
1148 |
|
|
|
1149 |
|
|
if (!nf)
|
1150 |
|
|
FCMIOF_hline();
|
1151 |
|
|
|
1152 |
|
|
//Print out the approximation denominator.
|
1153 |
|
|
sprintf(sbuf, "error_den(%d)", index);
|
1154 |
|
|
if (!nf)
|
1155 |
|
|
{
|
1156 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(s,
|
1157 |
|
|
&(diff.den),
|
1158 |
|
|
sbuf);
|
1159 |
|
|
}
|
1160 |
|
|
else
|
1161 |
|
|
{
|
1162 |
|
|
int nreserved;
|
1163 |
|
|
char *p;
|
1164 |
|
|
|
1165 |
|
|
nreserved = GMP_INTS_mpz_size_in_base_10(&(diff.den));
|
1166 |
|
|
p = CCMALLOC_malloc(sizeof(char) * nreserved);
|
1167 |
|
|
GMP_INTS_mpz_to_string(p, &(diff.den));
|
1168 |
|
|
fprintf(s, "%s\n", p);
|
1169 |
|
|
CCMALLOC_free(p);
|
1170 |
|
|
}
|
1171 |
|
|
|
1172 |
|
|
if (!nf)
|
1173 |
|
|
FCMIOF_hline();
|
1174 |
|
|
}
|
1175 |
|
|
|
1176 |
|
|
//Deallocate.
|
1177 |
|
|
GMP_RATS_mpq_clear(&diff);
|
1178 |
|
|
GMP_RATS_mpq_clear(&q_temp1);
|
1179 |
|
|
GMP_INTS_mpz_clear(&z_temp1);
|
1180 |
|
|
GMP_INTS_mpz_clear("ient);
|
1181 |
|
|
GMP_INTS_mpz_clear(&remainder);
|
1182 |
|
|
}
|
1183 |
|
|
|
1184 |
|
|
|
1185 |
|
|
//Handles the classic case of finding the closest
|
1186 |
|
|
//neighbor(s).
|
1187 |
|
|
static int CMAIN_classic_closest_neighbor(struct CfbrapabCmainStruct *parblock)
|
1188 |
|
|
{
|
1189 |
|
|
int rv = 0;
|
1190 |
|
|
GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs;
|
1191 |
|
|
GMP_INTS_mpz_struct dap_denominator;
|
1192 |
|
|
GMP_RALG_cf_app_struct cf_decomp;
|
1193 |
|
|
GMP_RALG_fab_neighbor_collection_struct neighbor_data;
|
1194 |
|
|
int error_flag;
|
1195 |
|
|
|
1196 |
|
|
//Allocate all dynamic memory.
|
1197 |
|
|
GMP_RATS_mpq_init(&hmax_over_one);
|
1198 |
|
|
GMP_RATS_mpq_init(&hmax_over_kmax);
|
1199 |
|
|
GMP_INTS_mpz_init(&dap_denominator);
|
1200 |
|
|
GMP_RATS_mpq_init(&rn_in_abs);
|
1201 |
|
|
|
1202 |
|
|
//Set the DAP denominator to 1e108.
|
1203 |
|
|
GMP_INTS_mpz_set_general_int(&dap_denominator,
|
1204 |
|
|
&error_flag,
|
1205 |
|
|
"1e108");
|
1206 |
|
|
|
1207 |
|
|
//By convention, we will not mess with anything with an
|
1208 |
|
|
//absolute value greater than HMAX/1. If such a condition exists, puke out.
|
1209 |
|
|
//Form up the value of HMAX/1 if HMAX was specified.
|
1210 |
|
|
if (parblock->hmax_specified)
|
1211 |
|
|
{
|
1212 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax));
|
1213 |
|
|
GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1);
|
1214 |
|
|
GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn));
|
1215 |
|
|
GMP_INTS_mpz_abs(&(rn_in_abs.num));
|
1216 |
|
|
if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0)
|
1217 |
|
|
{
|
1218 |
|
|
printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n"
|
1219 |
|
|
"has no neighbors in the series of interest. Calculation cannot continue.\n");
|
1220 |
|
|
exit(4);
|
1221 |
|
|
}
|
1222 |
|
|
}
|
1223 |
|
|
|
1224 |
|
|
//If the "verbose" option is specified, we want to give the continued fraction
|
1225 |
|
|
//partial quotients and convergents of either the number to approximate,
|
1226 |
|
|
//its reciprocal, or none of the above, as appropriate; and give a bit more
|
1227 |
|
|
//information, in addition.
|
1228 |
|
|
if (parblock->argblock.verbose)
|
1229 |
|
|
{
|
1230 |
|
|
if (parblock->hmax_specified)
|
1231 |
|
|
{
|
1232 |
|
|
//Stuff HMAX/KMAX. This is necessary for comparison.
|
1233 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax));
|
1234 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax));
|
1235 |
|
|
}
|
1236 |
|
|
|
1237 |
|
|
if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0))
|
1238 |
|
|
{
|
1239 |
|
|
//Either HMAX was not specified or else we are below the corner point on the
|
1240 |
|
|
//integer lattice. Get the continued fraction representation of the number
|
1241 |
|
|
//rather than its reciprocal.
|
1242 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den));
|
1243 |
|
|
|
1244 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1245 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1246 |
|
|
"CF Rep Of Abs Value Of Number Specified",
|
1247 |
|
|
&cf_decomp,
|
1248 |
|
|
0,
|
1249 |
|
|
1,
|
1250 |
|
|
&dap_denominator);
|
1251 |
|
|
|
1252 |
|
|
//Destroy the decomposition--free the memory.
|
1253 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1254 |
|
|
}
|
1255 |
|
|
else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0)
|
1256 |
|
|
{
|
1257 |
|
|
//In this case, the rational number specified is exactly the same in
|
1258 |
|
|
//magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp.
|
1259 |
|
|
printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n");
|
1260 |
|
|
}
|
1261 |
|
|
else
|
1262 |
|
|
{
|
1263 |
|
|
//The number specified is beyond the corner point. It is appropriate to
|
1264 |
|
|
//provide the decomposition of the reciprocal rather than of the number
|
1265 |
|
|
//itself.
|
1266 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num));
|
1267 |
|
|
|
1268 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1269 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1270 |
|
|
"CF Rep Of Reciprocal Of Abs Value Of Number Specified",
|
1271 |
|
|
&cf_decomp,
|
1272 |
|
|
0,
|
1273 |
|
|
1,
|
1274 |
|
|
&dap_denominator);
|
1275 |
|
|
|
1276 |
|
|
//Destroy the decomposition--free the memory.
|
1277 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1278 |
|
|
}
|
1279 |
|
|
} //End if verbose.
|
1280 |
|
|
|
1281 |
|
|
//Do all the work to get the neighbors of the number passed.
|
1282 |
|
|
GMP_RALG_consecutive_fab_terms(
|
1283 |
|
|
&(parblock->rn),
|
1284 |
|
|
&(parblock->kmax),
|
1285 |
|
|
(parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL),
|
1286 |
|
|
1,
|
1287 |
|
|
1,
|
1288 |
|
|
&neighbor_data);
|
1289 |
|
|
|
1290 |
|
|
//Print the neighbor data block for debugging.
|
1291 |
|
|
#if 0
|
1292 |
|
|
GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data);
|
1293 |
|
|
#endif
|
1294 |
|
|
|
1295 |
|
|
//There are four possibilities at this point.
|
1296 |
|
|
// a)Attempting to find the rational neighbors generated an error.
|
1297 |
|
|
// b)The rational number specified was already in the series of interest,
|
1298 |
|
|
// in which case we will use it.
|
1299 |
|
|
// c)The left neighbor is closer or in a tie we want to choose it.
|
1300 |
|
|
// d)The right neighbor is closer or in a tie we want to choose it.
|
1301 |
|
|
if (neighbor_data.error)
|
1302 |
|
|
{
|
1303 |
|
|
//
|
1304 |
|
|
printf("Internal error: %s\n", neighbor_data.error);
|
1305 |
|
|
}
|
1306 |
|
|
else if (neighbor_data.equality)
|
1307 |
|
|
{
|
1308 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1309 |
|
|
0,
|
1310 |
|
|
&(neighbor_data.rn_in),
|
1311 |
|
|
&(neighbor_data.rn_in),
|
1312 |
|
|
parblock->argblock.noformat,
|
1313 |
|
|
0,
|
1314 |
|
|
1,
|
1315 |
|
|
&dap_denominator);
|
1316 |
|
|
}
|
1317 |
|
|
else
|
1318 |
|
|
{
|
1319 |
|
|
GMP_RATS_mpq_struct left_neighbor, right_neighbor,
|
1320 |
|
|
left_diff, right_diff,
|
1321 |
|
|
left_abs, right_abs;
|
1322 |
|
|
int error_cmp;
|
1323 |
|
|
int mag_cmp;
|
1324 |
|
|
|
1325 |
|
|
GMP_RATS_mpq_init(&left_neighbor);
|
1326 |
|
|
GMP_RATS_mpq_init(&right_neighbor);
|
1327 |
|
|
GMP_RATS_mpq_init(&left_diff);
|
1328 |
|
|
GMP_RATS_mpq_init(&right_diff);
|
1329 |
|
|
GMP_RATS_mpq_init(&left_abs);
|
1330 |
|
|
GMP_RATS_mpq_init(&right_abs);
|
1331 |
|
|
|
1332 |
|
|
//Snatch the left neighbor.
|
1333 |
|
|
if (neighbor_data.n_left_out)
|
1334 |
|
|
{
|
1335 |
|
|
GMP_RATS_mpq_copy(&left_neighbor, &(neighbor_data.lefts[0].neighbor));
|
1336 |
|
|
}
|
1337 |
|
|
|
1338 |
|
|
//Snatch the right neighbor.
|
1339 |
|
|
if (neighbor_data.n_right_out)
|
1340 |
|
|
{
|
1341 |
|
|
GMP_RATS_mpq_copy(&right_neighbor, &(neighbor_data.rights[0].neighbor));
|
1342 |
|
|
}
|
1343 |
|
|
|
1344 |
|
|
//Calculate the differences, take their absolute
|
1345 |
|
|
//values.
|
1346 |
|
|
GMP_RATS_mpq_sub(&left_diff, &left_neighbor, &(neighbor_data.rn_in));
|
1347 |
|
|
GMP_RATS_mpq_sub(&right_diff, &right_neighbor, &(neighbor_data.rn_in));
|
1348 |
|
|
GMP_RATS_mpq_normalize(&left_diff);
|
1349 |
|
|
GMP_RATS_mpq_normalize(&right_diff);
|
1350 |
|
|
GMP_INTS_mpz_abs(&(left_diff.num));
|
1351 |
|
|
GMP_INTS_mpz_abs(&(right_diff.num));
|
1352 |
|
|
|
1353 |
|
|
//Now that the differences are calculated, take the
|
1354 |
|
|
//absolute values of the neighbors themselves.
|
1355 |
|
|
//We will use this to break ties.
|
1356 |
|
|
GMP_RATS_mpq_normalize(&left_neighbor);
|
1357 |
|
|
GMP_RATS_mpq_normalize(&right_neighbor);
|
1358 |
|
|
GMP_INTS_mpz_abs(&(left_neighbor.num));
|
1359 |
|
|
GMP_INTS_mpz_abs(&(right_neighbor.num));
|
1360 |
|
|
|
1361 |
|
|
//Compare the relative differences and magnitudes.
|
1362 |
|
|
error_cmp = GMP_RATS_mpq_cmp(&left_diff, &right_diff, NULL);
|
1363 |
|
|
mag_cmp = GMP_RATS_mpq_cmp(&left_neighbor, &right_neighbor, NULL);
|
1364 |
|
|
|
1365 |
|
|
//Figure out which to present as the best approximation and
|
1366 |
|
|
//do it.
|
1367 |
|
|
if (!(parblock->neversmaller_specified) &&
|
1368 |
|
|
((parblock->neverlarger_specified) || (error_cmp < 0) || ((error_cmp == 0) && (mag_cmp < 0))))
|
1369 |
|
|
{
|
1370 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1371 |
|
|
-1,
|
1372 |
|
|
&(neighbor_data.rn_in),
|
1373 |
|
|
&(neighbor_data.lefts[0].neighbor),
|
1374 |
|
|
parblock->argblock.noformat,
|
1375 |
|
|
1,
|
1376 |
|
|
1,
|
1377 |
|
|
&dap_denominator);
|
1378 |
|
|
}
|
1379 |
|
|
else
|
1380 |
|
|
{
|
1381 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1382 |
|
|
1,
|
1383 |
|
|
&(neighbor_data.rn_in),
|
1384 |
|
|
&(neighbor_data.rights[0].neighbor),
|
1385 |
|
|
parblock->argblock.noformat,
|
1386 |
|
|
1,
|
1387 |
|
|
1,
|
1388 |
|
|
&dap_denominator);
|
1389 |
|
|
}
|
1390 |
|
|
|
1391 |
|
|
//Deallocate.
|
1392 |
|
|
GMP_RATS_mpq_clear(&left_neighbor);
|
1393 |
|
|
GMP_RATS_mpq_clear(&right_neighbor);
|
1394 |
|
|
GMP_RATS_mpq_clear(&left_diff);
|
1395 |
|
|
GMP_RATS_mpq_clear(&right_diff);
|
1396 |
|
|
GMP_RATS_mpq_clear(&left_abs);
|
1397 |
|
|
GMP_RATS_mpq_clear(&right_abs);
|
1398 |
|
|
}
|
1399 |
|
|
|
1400 |
|
|
//Deallocate all dynamic memory.
|
1401 |
|
|
GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data);
|
1402 |
|
|
GMP_RATS_mpq_clear(&hmax_over_one);
|
1403 |
|
|
GMP_RATS_mpq_clear(&hmax_over_kmax);
|
1404 |
|
|
GMP_INTS_mpz_clear(&dap_denominator);
|
1405 |
|
|
GMP_RATS_mpq_clear(&rn_in_abs);
|
1406 |
|
|
|
1407 |
|
|
return(rv);
|
1408 |
|
|
}
|
1409 |
|
|
|
1410 |
|
|
|
1411 |
|
|
//Handles the case of finding multiple neighbors.
|
1412 |
|
|
|
1413 |
|
|
static int CMAIN_multiple_neighbor(struct CfbrapabCmainStruct *parblock)
|
1414 |
|
|
{
|
1415 |
|
|
int rv = 0;
|
1416 |
|
|
GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs;
|
1417 |
|
|
GMP_INTS_mpz_struct dap_denominator;
|
1418 |
|
|
GMP_RALG_cf_app_struct cf_decomp;
|
1419 |
|
|
GMP_RALG_fab_neighbor_collection_struct neighbor_data;
|
1420 |
|
|
int error_flag;
|
1421 |
|
|
int i;
|
1422 |
|
|
|
1423 |
|
|
//Allocate all dynamic memory.
|
1424 |
|
|
GMP_RATS_mpq_init(&hmax_over_one);
|
1425 |
|
|
GMP_RATS_mpq_init(&hmax_over_kmax);
|
1426 |
|
|
GMP_INTS_mpz_init(&dap_denominator);
|
1427 |
|
|
GMP_RATS_mpq_init(&rn_in_abs);
|
1428 |
|
|
|
1429 |
|
|
//Set the DAP denominator to 1e108.
|
1430 |
|
|
GMP_INTS_mpz_set_general_int(&dap_denominator,
|
1431 |
|
|
&error_flag,
|
1432 |
|
|
"1e108");
|
1433 |
|
|
|
1434 |
|
|
//By convention, we will not mess with anything with an
|
1435 |
|
|
//absolute value greater than HMAX/1. If such a condition exists, puke out.
|
1436 |
|
|
//Form up the value of HMAX/1 if HMAX was specified.
|
1437 |
|
|
if (parblock->hmax_specified)
|
1438 |
|
|
{
|
1439 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax));
|
1440 |
|
|
GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1);
|
1441 |
|
|
GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn));
|
1442 |
|
|
GMP_INTS_mpz_abs(&(rn_in_abs.num));
|
1443 |
|
|
if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0)
|
1444 |
|
|
{
|
1445 |
|
|
printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n"
|
1446 |
|
|
"has no neighbors in the series of interest. Calculation cannot continue.\n");
|
1447 |
|
|
exit(4);
|
1448 |
|
|
}
|
1449 |
|
|
}
|
1450 |
|
|
|
1451 |
|
|
//If the "verbose" option is specified, we want to give the continued fraction
|
1452 |
|
|
//partial quotients and convergents of either the number to approximate,
|
1453 |
|
|
//its reciprocal, or none of the above, as appropriate; and give a bit more
|
1454 |
|
|
//information, in addition.
|
1455 |
|
|
if (parblock->argblock.verbose)
|
1456 |
|
|
{
|
1457 |
|
|
if (parblock->hmax_specified)
|
1458 |
|
|
{
|
1459 |
|
|
//Stuff HMAX/KMAX. This is necessary for comparison.
|
1460 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax));
|
1461 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax));
|
1462 |
|
|
}
|
1463 |
|
|
|
1464 |
|
|
if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0))
|
1465 |
|
|
{
|
1466 |
|
|
//Either HMAX was not specified or else we are below the corner point on the
|
1467 |
|
|
//integer lattice. Get the continued fraction representation of the number
|
1468 |
|
|
//rather than its reciprocal.
|
1469 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den));
|
1470 |
|
|
|
1471 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1472 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1473 |
|
|
"CF Representation Of Absolute Value Of Rational Number Specified",
|
1474 |
|
|
&cf_decomp,
|
1475 |
|
|
0,
|
1476 |
|
|
1,
|
1477 |
|
|
&dap_denominator);
|
1478 |
|
|
|
1479 |
|
|
//Destroy the decomposition--free the memory.
|
1480 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1481 |
|
|
}
|
1482 |
|
|
else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0)
|
1483 |
|
|
{
|
1484 |
|
|
//In this case, the rational number specified is exactly the same in
|
1485 |
|
|
//magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp.
|
1486 |
|
|
printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n");
|
1487 |
|
|
}
|
1488 |
|
|
else
|
1489 |
|
|
{
|
1490 |
|
|
//The number specified is beyond the corner point. It is appropriate to
|
1491 |
|
|
//provide the decomposition of the reciprocal rather than of the number
|
1492 |
|
|
//itself.
|
1493 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num));
|
1494 |
|
|
|
1495 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1496 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1497 |
|
|
"CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified",
|
1498 |
|
|
&cf_decomp,
|
1499 |
|
|
0,
|
1500 |
|
|
1,
|
1501 |
|
|
&dap_denominator);
|
1502 |
|
|
|
1503 |
|
|
//Destroy the decomposition--free the memory.
|
1504 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1505 |
|
|
}
|
1506 |
|
|
} //End if verbose.
|
1507 |
|
|
|
1508 |
|
|
//Do all the work to get the neighbors of the number passed.
|
1509 |
|
|
GMP_RALG_consecutive_fab_terms(
|
1510 |
|
|
&(parblock->rn),
|
1511 |
|
|
&(parblock->kmax),
|
1512 |
|
|
(parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL),
|
1513 |
|
|
parblock->n,
|
1514 |
|
|
parblock->n,
|
1515 |
|
|
&neighbor_data);
|
1516 |
|
|
|
1517 |
|
|
//Print the neighbor data block for debugging.
|
1518 |
|
|
#if 0
|
1519 |
|
|
GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data);
|
1520 |
|
|
#endif
|
1521 |
|
|
|
1522 |
|
|
//Loop through, printing out the left neighbors in order.
|
1523 |
|
|
for (i = neighbor_data.n_left_out - 1; i >= 0; i--)
|
1524 |
|
|
{
|
1525 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1526 |
|
|
-(i + 1),
|
1527 |
|
|
&(neighbor_data.rn_in),
|
1528 |
|
|
&(neighbor_data.lefts[i].neighbor),
|
1529 |
|
|
parblock->argblock.noformat,
|
1530 |
|
|
1,
|
1531 |
|
|
1,
|
1532 |
|
|
&dap_denominator);
|
1533 |
|
|
}
|
1534 |
|
|
|
1535 |
|
|
//If the number itself appears in the series of interest, spit that out.
|
1536 |
|
|
if (neighbor_data.equality)
|
1537 |
|
|
{
|
1538 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1539 |
|
|
0,
|
1540 |
|
|
&(neighbor_data.rn_in),
|
1541 |
|
|
&(neighbor_data.norm_rn),
|
1542 |
|
|
parblock->argblock.noformat,
|
1543 |
|
|
1,
|
1544 |
|
|
1,
|
1545 |
|
|
&dap_denominator);
|
1546 |
|
|
}
|
1547 |
|
|
|
1548 |
|
|
//Loop through, printing out the right neighbors in order.
|
1549 |
|
|
for (i = 0; i < neighbor_data.n_right_out; i++)
|
1550 |
|
|
{
|
1551 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1552 |
|
|
i+1,
|
1553 |
|
|
&(neighbor_data.rn_in),
|
1554 |
|
|
&(neighbor_data.rights[i].neighbor),
|
1555 |
|
|
parblock->argblock.noformat,
|
1556 |
|
|
1,
|
1557 |
|
|
1,
|
1558 |
|
|
&dap_denominator);
|
1559 |
|
|
}
|
1560 |
|
|
|
1561 |
|
|
//Deallocate all dynamic memory.
|
1562 |
|
|
GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data);
|
1563 |
|
|
GMP_RATS_mpq_clear(&hmax_over_one);
|
1564 |
|
|
GMP_RATS_mpq_clear(&hmax_over_kmax);
|
1565 |
|
|
GMP_INTS_mpz_clear(&dap_denominator);
|
1566 |
|
|
GMP_RATS_mpq_clear(&rn_in_abs);
|
1567 |
|
|
|
1568 |
|
|
return(rv);
|
1569 |
|
|
}
|
1570 |
|
|
|
1571 |
|
|
|
1572 |
|
|
//Handles the case of finding the predecessor.
|
1573 |
|
|
int CMAIN_predecessor(struct CfbrapabCmainStruct *parblock)
|
1574 |
|
|
{
|
1575 |
|
|
int rv = 0;
|
1576 |
|
|
GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs;
|
1577 |
|
|
GMP_INTS_mpz_struct dap_denominator;
|
1578 |
|
|
GMP_RALG_cf_app_struct cf_decomp;
|
1579 |
|
|
GMP_RALG_fab_neighbor_collection_struct neighbor_data;
|
1580 |
|
|
int error_flag;
|
1581 |
|
|
|
1582 |
|
|
//Allocate all dynamic memory.
|
1583 |
|
|
GMP_RATS_mpq_init(&hmax_over_one);
|
1584 |
|
|
GMP_RATS_mpq_init(&hmax_over_kmax);
|
1585 |
|
|
GMP_INTS_mpz_init(&dap_denominator);
|
1586 |
|
|
GMP_RATS_mpq_init(&rn_in_abs);
|
1587 |
|
|
|
1588 |
|
|
//Set the DAP denominator to 1e108.
|
1589 |
|
|
GMP_INTS_mpz_set_general_int(&dap_denominator,
|
1590 |
|
|
&error_flag,
|
1591 |
|
|
"1e108");
|
1592 |
|
|
|
1593 |
|
|
//By convention, we will not mess with anything with an
|
1594 |
|
|
//absolute value greater than HMAX/1. If such a condition exists, puke out.
|
1595 |
|
|
//Form up the value of HMAX/1 if HMAX was specified.
|
1596 |
|
|
if (parblock->hmax_specified)
|
1597 |
|
|
{
|
1598 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax));
|
1599 |
|
|
GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1);
|
1600 |
|
|
GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn));
|
1601 |
|
|
GMP_INTS_mpz_abs(&(rn_in_abs.num));
|
1602 |
|
|
if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0)
|
1603 |
|
|
{
|
1604 |
|
|
printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n"
|
1605 |
|
|
"has no neighbors in the series of interest. Calculation cannot continue.\n");
|
1606 |
|
|
exit(4);
|
1607 |
|
|
}
|
1608 |
|
|
}
|
1609 |
|
|
|
1610 |
|
|
//If the "verbose" option is specified, we want to give the continued fraction
|
1611 |
|
|
//partial quotients and convergents of either the number to approximate,
|
1612 |
|
|
//its reciprocal, or none of the above, as appropriate; and give a bit more
|
1613 |
|
|
//information, in addition.
|
1614 |
|
|
if (parblock->argblock.verbose)
|
1615 |
|
|
{
|
1616 |
|
|
if (parblock->hmax_specified)
|
1617 |
|
|
{
|
1618 |
|
|
//Stuff HMAX/KMAX. This is necessary for comparison.
|
1619 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax));
|
1620 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax));
|
1621 |
|
|
}
|
1622 |
|
|
|
1623 |
|
|
if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0))
|
1624 |
|
|
{
|
1625 |
|
|
//Either HMAX was not specified or else we are below the corner point on the
|
1626 |
|
|
//integer lattice. Get the continued fraction representation of the number
|
1627 |
|
|
//rather than its reciprocal.
|
1628 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den));
|
1629 |
|
|
|
1630 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1631 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1632 |
|
|
"CF Representation Of Absolute Value Of Rational Number Specified",
|
1633 |
|
|
&cf_decomp,
|
1634 |
|
|
0,
|
1635 |
|
|
1,
|
1636 |
|
|
&dap_denominator);
|
1637 |
|
|
|
1638 |
|
|
//Destroy the decomposition--free the memory.
|
1639 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1640 |
|
|
}
|
1641 |
|
|
else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0)
|
1642 |
|
|
{
|
1643 |
|
|
//In this case, the rational number specified is exactly the same in
|
1644 |
|
|
//magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp.
|
1645 |
|
|
printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n");
|
1646 |
|
|
}
|
1647 |
|
|
else
|
1648 |
|
|
{
|
1649 |
|
|
//The number specified is beyond the corner point. It is appropriate to
|
1650 |
|
|
//provide the decomposition of the reciprocal rather than of the number
|
1651 |
|
|
//itself.
|
1652 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num));
|
1653 |
|
|
|
1654 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1655 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1656 |
|
|
"CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified",
|
1657 |
|
|
&cf_decomp,
|
1658 |
|
|
0,
|
1659 |
|
|
1,
|
1660 |
|
|
&dap_denominator);
|
1661 |
|
|
|
1662 |
|
|
//Destroy the decomposition--free the memory.
|
1663 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1664 |
|
|
}
|
1665 |
|
|
} //End if verbose.
|
1666 |
|
|
|
1667 |
|
|
//Do all the work to get the neighbors of the number passed.
|
1668 |
|
|
GMP_RALG_consecutive_fab_terms(
|
1669 |
|
|
&(parblock->rn),
|
1670 |
|
|
&(parblock->kmax),
|
1671 |
|
|
(parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL),
|
1672 |
|
|
1,
|
1673 |
|
|
0,
|
1674 |
|
|
&neighbor_data);
|
1675 |
|
|
|
1676 |
|
|
//Print the neighbor data block for debugging.
|
1677 |
|
|
#if 0
|
1678 |
|
|
GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data);
|
1679 |
|
|
#endif
|
1680 |
|
|
|
1681 |
|
|
//Print the neighbor on the left, if it exists.
|
1682 |
|
|
if (neighbor_data.n_left_out)
|
1683 |
|
|
{
|
1684 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1685 |
|
|
-1,
|
1686 |
|
|
&(neighbor_data.rn_in),
|
1687 |
|
|
&(neighbor_data.lefts[0].neighbor),
|
1688 |
|
|
parblock->argblock.noformat,
|
1689 |
|
|
0,
|
1690 |
|
|
0,
|
1691 |
|
|
&dap_denominator);
|
1692 |
|
|
}
|
1693 |
|
|
|
1694 |
|
|
//Deallocate all dynamic memory.
|
1695 |
|
|
GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data);
|
1696 |
|
|
GMP_RATS_mpq_clear(&hmax_over_one);
|
1697 |
|
|
GMP_RATS_mpq_clear(&hmax_over_kmax);
|
1698 |
|
|
GMP_INTS_mpz_clear(&dap_denominator);
|
1699 |
|
|
GMP_RATS_mpq_clear(&rn_in_abs);
|
1700 |
|
|
|
1701 |
|
|
return(rv);
|
1702 |
|
|
}
|
1703 |
|
|
|
1704 |
|
|
|
1705 |
|
|
//Handles the case of finding the successor.
|
1706 |
|
|
int CMAIN_successor(struct CfbrapabCmainStruct *parblock)
|
1707 |
|
|
{
|
1708 |
|
|
int rv = 0;
|
1709 |
|
|
GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs;
|
1710 |
|
|
GMP_INTS_mpz_struct dap_denominator;
|
1711 |
|
|
GMP_RALG_cf_app_struct cf_decomp;
|
1712 |
|
|
GMP_RALG_fab_neighbor_collection_struct neighbor_data;
|
1713 |
|
|
int error_flag;
|
1714 |
|
|
|
1715 |
|
|
//Allocate all dynamic memory.
|
1716 |
|
|
GMP_RATS_mpq_init(&hmax_over_one);
|
1717 |
|
|
GMP_RATS_mpq_init(&hmax_over_kmax);
|
1718 |
|
|
GMP_INTS_mpz_init(&dap_denominator);
|
1719 |
|
|
GMP_RATS_mpq_init(&rn_in_abs);
|
1720 |
|
|
|
1721 |
|
|
//Set the DAP denominator to 1e108.
|
1722 |
|
|
GMP_INTS_mpz_set_general_int(&dap_denominator,
|
1723 |
|
|
&error_flag,
|
1724 |
|
|
"1e108");
|
1725 |
|
|
|
1726 |
|
|
//By convention, we will not mess with anything with an
|
1727 |
|
|
//absolute value greater than HMAX/1. If such a condition exists, puke out.
|
1728 |
|
|
//Form up the value of HMAX/1 if HMAX was specified.
|
1729 |
|
|
if (parblock->hmax_specified)
|
1730 |
|
|
{
|
1731 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax));
|
1732 |
|
|
GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1);
|
1733 |
|
|
GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn));
|
1734 |
|
|
GMP_INTS_mpz_abs(&(rn_in_abs.num));
|
1735 |
|
|
if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0)
|
1736 |
|
|
{
|
1737 |
|
|
printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n"
|
1738 |
|
|
"has no neighbors in the series of interest. Calculation cannot continue.\n");
|
1739 |
|
|
exit(4);
|
1740 |
|
|
}
|
1741 |
|
|
}
|
1742 |
|
|
|
1743 |
|
|
//If the "verbose" option is specified, we want to give the continued fraction
|
1744 |
|
|
//partial quotients and convergents of either the number to approximate,
|
1745 |
|
|
//its reciprocal, or none of the above, as appropriate; and give a bit more
|
1746 |
|
|
//information, in addition.
|
1747 |
|
|
if (parblock->argblock.verbose)
|
1748 |
|
|
{
|
1749 |
|
|
if (parblock->hmax_specified)
|
1750 |
|
|
{
|
1751 |
|
|
//Stuff HMAX/KMAX. This is necessary for comparison.
|
1752 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax));
|
1753 |
|
|
GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax));
|
1754 |
|
|
}
|
1755 |
|
|
|
1756 |
|
|
if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0))
|
1757 |
|
|
{
|
1758 |
|
|
//Either HMAX was not specified or else we are below the corner point on the
|
1759 |
|
|
//integer lattice. Get the continued fraction representation of the number
|
1760 |
|
|
//rather than its reciprocal.
|
1761 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den));
|
1762 |
|
|
|
1763 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1764 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1765 |
|
|
"CF Representation Of Absolute Value Of Rational Number Specified",
|
1766 |
|
|
&cf_decomp,
|
1767 |
|
|
0,
|
1768 |
|
|
1,
|
1769 |
|
|
&dap_denominator);
|
1770 |
|
|
|
1771 |
|
|
//Destroy the decomposition--free the memory.
|
1772 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1773 |
|
|
}
|
1774 |
|
|
else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0)
|
1775 |
|
|
{
|
1776 |
|
|
//In this case, the rational number specified is exactly the same in
|
1777 |
|
|
//magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp.
|
1778 |
|
|
printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n");
|
1779 |
|
|
}
|
1780 |
|
|
else
|
1781 |
|
|
{
|
1782 |
|
|
//The number specified is beyond the corner point. It is appropriate to
|
1783 |
|
|
//provide the decomposition of the reciprocal rather than of the number
|
1784 |
|
|
//itself.
|
1785 |
|
|
GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num));
|
1786 |
|
|
|
1787 |
|
|
//Print out the continued fraction decomposition of the rational number.
|
1788 |
|
|
GMP_RALG_cfdecomp_emit(stdout,
|
1789 |
|
|
"CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified",
|
1790 |
|
|
&cf_decomp,
|
1791 |
|
|
0,
|
1792 |
|
|
1,
|
1793 |
|
|
&dap_denominator);
|
1794 |
|
|
|
1795 |
|
|
//Destroy the decomposition--free the memory.
|
1796 |
|
|
GMP_RALG_cfdecomp_destroy(&cf_decomp);
|
1797 |
|
|
}
|
1798 |
|
|
} //End if verbose.
|
1799 |
|
|
|
1800 |
|
|
//Do all the work to get the neighbors of the number passed.
|
1801 |
|
|
GMP_RALG_consecutive_fab_terms(
|
1802 |
|
|
&(parblock->rn),
|
1803 |
|
|
&(parblock->kmax),
|
1804 |
|
|
(parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL),
|
1805 |
|
|
0,
|
1806 |
|
|
1,
|
1807 |
|
|
&neighbor_data);
|
1808 |
|
|
|
1809 |
|
|
//Print the neighbor data block for debugging.
|
1810 |
|
|
#if 0
|
1811 |
|
|
GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data);
|
1812 |
|
|
#endif
|
1813 |
|
|
|
1814 |
|
|
//Print the neighbor on the right, if it exists.
|
1815 |
|
|
if (neighbor_data.n_right_out)
|
1816 |
|
|
{
|
1817 |
|
|
CMAIN_print_app_in_std_form(stdout,
|
1818 |
|
|
-1,
|
1819 |
|
|
&(neighbor_data.rn_in),
|
1820 |
|
|
&(neighbor_data.rights[0].neighbor),
|
1821 |
|
|
parblock->argblock.noformat,
|
1822 |
|
|
0,
|
1823 |
|
|
0,
|
1824 |
|
|
&dap_denominator);
|
1825 |
|
|
}
|
1826 |
|
|
|
1827 |
|
|
//Deallocate all dynamic memory.
|
1828 |
|
|
GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data);
|
1829 |
|
|
GMP_RATS_mpq_clear(&hmax_over_one);
|
1830 |
|
|
GMP_RATS_mpq_clear(&hmax_over_kmax);
|
1831 |
|
|
GMP_INTS_mpz_clear(&dap_denominator);
|
1832 |
|
|
GMP_RATS_mpq_clear(&rn_in_abs);
|
1833 |
|
|
|
1834 |
|
|
return(rv);
|
1835 |
|
|
}
|
1836 |
|
|
|
1837 |
|
|
|
1838 |
|
|
int c_main(int argc, char* argv[])
|
1839 |
|
|
{
|
1840 |
|
|
int rv=0;
|
1841 |
|
|
struct CfbrapabCmainStruct parblock;
|
1842 |
|
|
|
1843 |
|
|
if (argc==2 && !strcmp(argv[1], "-help"))
|
1844 |
|
|
{
|
1845 |
|
|
FCMIOF_hline();
|
1846 |
|
|
printf("DESCRIPTION\n");
|
1847 |
|
|
printf(" This utility calculates best rational approximations of the form h/k\n");
|
1848 |
|
|
printf(" under the constraint k <= KMAX (i.e. in the Farey series of order KMAX),\n");
|
1849 |
|
|
printf(" or under the constraints k <= KMAX and h <= HMAX (i.e. in a rectangular\n");
|
1850 |
|
|
printf(" region of the integer lattice). This utility uses continued fraction\n");
|
1851 |
|
|
printf(" algorithms presented in the accompanying book \"A Practitioner's Guide\n");
|
1852 |
|
|
printf(" ...\", and this book (a work in progress) should be consulted both as a\n");
|
1853 |
|
|
printf(" reference to the algorithms and a reference for this utility. All\n");
|
1854 |
|
|
printf(" rational numbers calculated are in lowest terms. This utility will\n");
|
1855 |
|
|
printf(" operate on negative numbers, but all results are produced by symmetry\n");
|
1856 |
|
|
printf(" (the continued fraction representation of negative numbers is NOT\n");
|
1857 |
|
|
printf(" calculated). The default operation of this utility is to calculated the\n");
|
1858 |
|
|
printf(" closest rational number in the series of interest. If the rational\n");
|
1859 |
|
|
printf(" number supplied is equidistant between two formable rational numbers in\n");
|
1860 |
|
|
printf(" the series of interest, the neighbor smaller in magnitude is returned. If\n");
|
1861 |
|
|
printf(" the rational number supplied is already formable, it is returned in lowest\n");
|
1862 |
|
|
printf(" terms. If the rational number supplied does not have neighbors (i.e. it\n");
|
1863 |
|
|
printf(" is larger than HMAX/1), an error is generated.\n");
|
1864 |
|
|
printf("\n");
|
1865 |
|
|
printf("USAGE\n");
|
1866 |
|
|
printf(" cfbrapab srn urn_kmax [options]\n");
|
1867 |
|
|
printf(" cfbrapab srn urn_kmax urn_hmax [options]\n");
|
1868 |
|
|
printf(" cfbrapab -help\n");
|
1869 |
|
|
printf("\n");
|
1870 |
|
|
printf("OPTIONS\n");
|
1871 |
|
|
printf(" -neversmaller, -neverlarger\n");
|
1872 |
|
|
printf(" The -neversmaller option will prohibit this utility from choosing a\n");
|
1873 |
|
|
printf(" rational approximation which is smaller than the rational number\n");
|
1874 |
|
|
printf(" supplied. Thus, this option will force the utility to choose the right\n");
|
1875 |
|
|
printf(" neighbor rather than the left, regardless of relative distance. The\n");
|
1876 |
|
|
printf(" behavior if the rational number supplied is formable under the \n");
|
1877 |
|
|
printf(" constraints is unchanged. The -neverlarger option is analogous.\n");
|
1878 |
|
|
printf(" These options cannot be used with -n, -pred, or -succ.\n");
|
1879 |
|
|
printf(" -pred, -succ\n");
|
1880 |
|
|
printf(" Will cause the utility to find the predecessor or successor in the\n");
|
1881 |
|
|
printf(" series of interest to the rational number supplied (in the event the\n");
|
1882 |
|
|
printf(" number supplied is already formable under the constraints). For\n");
|
1883 |
|
|
printf(" numbers not already formable under the constraints, the left or right\n");
|
1884 |
|
|
printf(" formable neighbor will be returned. Supplying a rational number that\n");
|
1885 |
|
|
printf(" does not have a predecessor or successor (i.e. < 0/1 or > HMAX/1) will\n");
|
1886 |
|
|
printf(" generate an error. These options cannot be used with -neversmaller,\n");
|
1887 |
|
|
printf(" -neverlarger, or -n.\n");
|
1888 |
|
|
CU_MSGS_std_options(stdout, PNAME);
|
1889 |
|
|
FCMIOF_hline();
|
1890 |
|
|
CU_MSGS_toolset_info_msg(stdout, PNAME);
|
1891 |
|
|
FCMIOF_hline();
|
1892 |
|
|
}
|
1893 |
|
|
else if (argc < 3)
|
1894 |
|
|
{
|
1895 |
|
|
CU_MSGS_too_few_args_msg(stdout, PNAME);
|
1896 |
|
|
rv = 4;
|
1897 |
|
|
goto ret_pt;
|
1898 |
|
|
}
|
1899 |
|
|
else
|
1900 |
|
|
{
|
1901 |
|
|
//In this branch, we must have an invocation of the form
|
1902 |
|
|
// cfbrapab SRN KMAX <options>
|
1903 |
|
|
//or
|
1904 |
|
|
// cfbrapab SRN KMAX HMAX <options>
|
1905 |
|
|
//
|
1906 |
|
|
//Call the function to collect all the command-line parameters.
|
1907 |
|
|
//This function takes care of error processing, as well. If there
|
1908 |
|
|
//is an error of any kind, the function will simply abort and
|
1909 |
|
|
//supply the right return error code of 4.
|
1910 |
|
|
process_command_line_args(&parblock,
|
1911 |
|
|
argc,
|
1912 |
|
|
argv);
|
1913 |
|
|
|
1914 |
|
|
//If the debug option was set, emit the debugging information.
|
1915 |
|
|
if (parblock.argblock.debug)
|
1916 |
|
|
{
|
1917 |
|
|
FCMIOF_hline();
|
1918 |
|
|
CU_MSGS_emit_vcinfo_from_ptr_table(stdout,C_MAIN_vcinfoptrs,PNAMEUC);
|
1919 |
|
|
}
|
1920 |
|
|
|
1921 |
|
|
//Emit the opening horizontal line iff the -nf option isn't set.
|
1922 |
|
|
if (!(parblock.argblock.noformat))
|
1923 |
|
|
FCMIOF_hline();
|
1924 |
|
|
|
1925 |
|
|
//Print out a major mode message to indicate what we are trying to do.
|
1926 |
|
|
if (!(parblock.argblock.noformat))
|
1927 |
|
|
{
|
1928 |
|
|
if (!parblock.neversmaller_specified && !parblock.neverlarger_specified && !parblock.pred_specified && !parblock.succ_specified)
|
1929 |
|
|
{
|
1930 |
|
|
printf("MAJOR MODE: Finding closest rational number(s) under the constraints.\n");
|
1931 |
|
|
}
|
1932 |
|
|
else if (parblock.neversmaller_specified)
|
1933 |
|
|
{
|
1934 |
|
|
printf("MAJOR MODE: Finding closest rational number with magnitude not smaller under\n the constraints.\n");
|
1935 |
|
|
}
|
1936 |
|
|
else if (parblock.neverlarger_specified)
|
1937 |
|
|
{
|
1938 |
|
|
printf("MAJOR MODE: Finding closest rational number with magnitude not larger under\n the constraints.\n");
|
1939 |
|
|
}
|
1940 |
|
|
else if (parblock.pred_specified)
|
1941 |
|
|
{
|
1942 |
|
|
printf("MAJOR MODE: Finding predecessor under the constraints.\n");
|
1943 |
|
|
}
|
1944 |
|
|
else if (parblock.succ_specified)
|
1945 |
|
|
{
|
1946 |
|
|
printf("MAJOR MODE: Finding successor under the constraints.\n");
|
1947 |
|
|
}
|
1948 |
|
|
else
|
1949 |
|
|
{
|
1950 |
|
|
assert(0);
|
1951 |
|
|
}
|
1952 |
|
|
|
1953 |
|
|
FCMIOF_hline();
|
1954 |
|
|
}
|
1955 |
|
|
|
1956 |
|
|
//Echo back the command-line parameters.
|
1957 |
|
|
if (!(parblock.argblock.noformat))
|
1958 |
|
|
{
|
1959 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(stdout,
|
1960 |
|
|
&(parblock.rn.num),
|
1961 |
|
|
"RI_IN Numerator");
|
1962 |
|
|
FCMIOF_hline();
|
1963 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(stdout,
|
1964 |
|
|
&(parblock.rn.den),
|
1965 |
|
|
"RI_IN Denominator");
|
1966 |
|
|
FCMIOF_hline();
|
1967 |
|
|
|
1968 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(stdout,
|
1969 |
|
|
&(parblock.kmax),
|
1970 |
|
|
"K_MAX");
|
1971 |
|
|
FCMIOF_hline();
|
1972 |
|
|
|
1973 |
|
|
if (parblock.hmax_specified)
|
1974 |
|
|
{
|
1975 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(stdout,
|
1976 |
|
|
&(parblock.hmax),
|
1977 |
|
|
"H_MAX");
|
1978 |
|
|
FCMIOF_hline();
|
1979 |
|
|
}
|
1980 |
|
|
|
1981 |
|
|
if (parblock.n_specified)
|
1982 |
|
|
{
|
1983 |
|
|
GMP_INTS_mpz_struct temp24;
|
1984 |
|
|
|
1985 |
|
|
GMP_INTS_mpz_init(&temp24);
|
1986 |
|
|
|
1987 |
|
|
GMP_INTS_mpz_set_ui(&temp24, parblock.n);
|
1988 |
|
|
|
1989 |
|
|
GMP_INTS_mpz_long_int_format_to_stream(stdout,
|
1990 |
|
|
&temp24,
|
1991 |
|
|
"Number Of Neighbors");
|
1992 |
|
|
|
1993 |
|
|
FCMIOF_hline();
|
1994 |
|
|
|
1995 |
|
|
GMP_INTS_mpz_clear(&temp24);
|
1996 |
|
|
}
|
1997 |
|
|
}
|
1998 |
|
|
|
1999 |
|
|
//We need to split now into distinct cases
|
2000 |
|
|
//depending on the command-line parameters. We will
|
2001 |
|
|
//then hack out solutions for each case.
|
2002 |
|
|
if (!parblock.pred_specified && !parblock.succ_specified && !parblock.n_specified)
|
2003 |
|
|
{
|
2004 |
|
|
//Classic closest neighbor case.
|
2005 |
|
|
rv = CMAIN_classic_closest_neighbor(&parblock);
|
2006 |
|
|
}
|
2007 |
|
|
else if (parblock.n_specified)
|
2008 |
|
|
{
|
2009 |
|
|
//Classic multiple neighbor case.
|
2010 |
|
|
rv = CMAIN_multiple_neighbor(&parblock);
|
2011 |
|
|
}
|
2012 |
|
|
else if (parblock.pred_specified)
|
2013 |
|
|
{
|
2014 |
|
|
rv = CMAIN_predecessor(&parblock);
|
2015 |
|
|
}
|
2016 |
|
|
else if (parblock.succ_specified)
|
2017 |
|
|
{
|
2018 |
|
|
rv = CMAIN_successor(&parblock);
|
2019 |
|
|
}
|
2020 |
|
|
else
|
2021 |
|
|
{
|
2022 |
|
|
assert(0);
|
2023 |
|
|
}
|
2024 |
|
|
|
2025 |
|
|
//Emit the closing horizontal line iff the -nf option isn't set.
|
2026 |
|
|
//if (!(parblock.argblock.noformat))
|
2027 |
|
|
// FCMIOF_hline();
|
2028 |
|
|
|
2029 |
|
|
//Release all dynamic memory.
|
2030 |
|
|
release_command_line_args(&parblock);
|
2031 |
|
|
}
|
2032 |
|
|
|
2033 |
|
|
ret_pt:
|
2034 |
|
|
return(rv);
|
2035 |
|
|
}
|
2036 |
|
|
|
2037 |
|
|
|
2038 |
|
|
//**************************************************************************
|
2039 |
|
|
// $Log: c_main.c,v $
|
2040 |
|
|
// Revision 1.6 2002/01/27 17:58:15 dtashley
|
2041 |
|
|
// CRC32, other programs modified to work under new directory structure.
|
2042 |
|
|
//
|
2043 |
|
|
// Revision 1.5 2001/08/16 19:49:36 dtashley
|
2044 |
|
|
// Beginning to prepare for v1.05 release.
|
2045 |
|
|
//
|
2046 |
|
|
// Revision 1.4 2001/08/15 06:55:59 dtashley
|
2047 |
|
|
// Substantial progress. Safety check-in.
|
2048 |
|
|
//
|
2049 |
|
|
// Revision 1.3 2001/08/12 10:20:58 dtashley
|
2050 |
|
|
// Safety check-in. Substantial progress.
|
2051 |
|
|
//
|
2052 |
|
|
// Revision 1.2 2001/07/26 03:53:17 dtashley
|
2053 |
|
|
// Utilities that are under constructions stubbed to announce this,
|
2054 |
|
|
// batch build file enhanced.
|
2055 |
|
|
//
|
2056 |
|
|
// Revision 1.1 2001/07/23 08:53:17 dtashley
|
2057 |
|
|
// Initial check-in.
|
2058 |
|
|
//
|
2059 |
|
|
//**************************************************************************
|
2060 |
|
|
// End of C_MAIN.C.
|