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1 | // $Header: /cvsroot/esrg/sfesrg/esrgpcpj/cfbrapab/c_main.c,v 1.6 2002/01/27 17:58:15 dtashley Exp $ |

2 | |

3 | //-------------------------------------------------------------------------------- |

4 | //Copyright 2008 David T. Ashley |

5 | //------------------------------------------------------------------------------------------------- |

6 | //This source code and any program in which it is compiled/used is provided under the GNU GENERAL |

7 | //PUBLIC LICENSE, Version 3, full license text below. |

8 | //------------------------------------------------------------------------------------------------- |

9 | // GNU GENERAL PUBLIC LICENSE |

10 | // Version 3, 29 June 2007 |

11 | // |

12 | // Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/> |

13 | // Everyone is permitted to copy and distribute verbatim copies |

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16 | // Preamble |

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512 | //available, or (2) arrange to deprive yourself of the benefit of the |

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514 | //consistent with the requirements of this License, to extend the patent |

515 | //license to downstream recipients. "Knowingly relying" means you have |

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528 | // |

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530 | //the scope of its coverage, prohibits the exercise of, or is |

531 | //conditioned on the non-exercise of one or more of the rights that are |

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539 | //conveyed by you (or copies made from those copies), or (b) primarily |

540 | //for and in connection with specific products or compilations that |

541 | //contain the covered work, unless you entered into that arrangement, |

542 | //or that patent license was granted, prior to 28 March 2007. |

543 | // |

544 | // Nothing in this License shall be construed as excluding or limiting |

545 | //any implied license or other defenses to infringement that may |

546 | //otherwise be available to you under applicable patent law. |

547 | // |

548 | // 12. No Surrender of Others' Freedom. |

549 | // |

550 | // If conditions are imposed on you (whether by court order, agreement or |

551 | //otherwise) that contradict the conditions of this License, they do not |

552 | //excuse you from the conditions of this License. If you cannot convey a |

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555 | //not convey it at all. For example, if you agree to terms that obligate you |

556 | //to collect a royalty for further conveying from those to whom you convey |

557 | //the Program, the only way you could satisfy both those terms and this |

558 | //License would be to refrain entirely from conveying the Program. |

559 | // |

560 | // 13. Use with the GNU Affero General Public License. |

561 | // |

562 | // Notwithstanding any other provision of this License, you have |

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568 | //section 13, concerning interaction through a network will apply to the |

569 | //combination as such. |

570 | // |

571 | // 14. Revised Versions of this License. |

572 | // |

573 | // The Free Software Foundation may publish revised and/or new versions of |

574 | //the GNU General Public License from time to time. Such new versions will |

575 | //be similar in spirit to the present version, but may differ in detail to |

576 | //address new problems or concerns. |

577 | // |

578 | // Each version is given a distinguishing version number. If the |

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580 | //Public License "or any later version" applies to it, you have the |

581 | //option of following the terms and conditions either of that numbered |

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583 | //Foundation. If the Program does not specify a version number of the |

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585 | //by the Free Software Foundation. |

586 | // |

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596 | // |

597 | // 15. Disclaimer of Warranty. |

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600 | //APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT |

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607 | // |

608 | // 16. Limitation of Liability. |

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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 | //above cannot be given local legal effect according to their terms, |

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. |

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