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1 //$Header$
2 //
3 //Sieve of Eratosthenes Table Generation
4 //--------------------------------------
5 //This utility generates a sieve table used in trial division prime number factorization.
6 //The table is a table of differentials to be added to trial divisors.
7 //
8
9 //--------------------------------------------------------------------------------
10 //Copyright 2003 David T. Ashley
11 //-------------------------------------------------------------------------------------------------
12 //This source code and any program in which it is compiled/used is provided under the GNU GENERAL
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14 //-------------------------------------------------------------------------------------------------
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687 //Public License instead of this License. But first, please read
688 //<http://www.gnu.org/philosophy/why-not-lgpl.html>.
689 //-------------------------------------------------------------------------------------------------
690 //--------------------------------------------------------------------------------
691 #include <stdio.h>
692
693 #define NAMING_PREFIX "SUBFUNC_PFACT_"
694 #define SIEVE_SIZE (2310) /* 2 * 3 * 5 * 7 * 11 */
695
696 unsigned int pfacts[] = {2, 3, 5, 7, 11};
697 unsigned int sieve_table_a[SIEVE_SIZE];
698 char *output_header[] =
699 {
700 "//This file is an automatically-generated sieve table, generated by the",
701 "//program \"sieve_gen.c\".",
702 "//",
703 NULL
704 };
705 char *output_footer[] =
706 {
707 "//",
708 "//End of automatically-generated file.",
709 NULL
710 };
711
712
713 int main(int argc, char *argv[])
714 {
715 int i, j;
716 unsigned p, q;
717 unsigned current_factor;
718 char **cptr;
719
720 //Initialize the sieve table. */
721 for (i=0; i < SIEVE_SIZE; i++)
722 {
723 sieve_table_a[i] = 1;
724 }
725
726 /* For each prime component, mark off all multiples. */
727 for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
728 {
729 current_factor = pfacts[i];
730
731 p = 0;
732 while (p < SIEVE_SIZE)
733 {
734 sieve_table_a[p] = 0;
735 p += current_factor;
736 }
737 }
738
739 //Output the header.
740 cptr = output_header;
741 while (*cptr)
742 {
743 printf("%s\n", *cptr);
744 cptr++;
745 }
746
747 //Convert the table of multiples into a table of differentials. Each non-zero
748 //entry will be replaced by the distance to the next entry.
749 for (i=0; i < SIEVE_SIZE; i++)
750 {
751 if (sieve_table_a[i])
752 {
753 p = (i+1) % SIEVE_SIZE;
754 while (sieve_table_a[p] == 0)
755 {
756 sieve_table_a[i]++;
757 p = (p+1) % SIEVE_SIZE;
758 }
759 }
760 }
761
762 //Print out the table of differentials for reference. Each entry will
763 //be annotated with the prime factors that divide it.
764 printf("//\n");
765 printf("//For reference, below is the uncompressed table of differentials. Each table\n");
766 printf("//entry is annotated with the prime factors that divide it, if any.\n");
767 printf("//\n");
768 for (i=0; i < SIEVE_SIZE; i++)
769 {
770 printf("// sieve_table[%5d]: %3d (", i, sieve_table_a[i]);
771 q = 0;
772 for (j=0; j<sizeof(pfacts)/sizeof(pfacts[0]); j++)
773 {
774 if ((i % pfacts[j]) == 0)
775 {
776 printf("[%d]", pfacts[j]);
777 q = 1;
778 }
779 }
780 if (!q)
781 printf("NONE");
782 printf(")\n");
783 }
784 printf("//\n");
785
786 //Now we compress the table and output the code proper.
787 printf("#define %sN_SIEVE_FACTORS (%d)\n", NAMING_PREFIX, sizeof(pfacts)/sizeof(pfacts[0]));
788 printf("unsigned %ssieve_factors[] = {", NAMING_PREFIX);
789 for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
790 {
791 printf("%d", pfacts[i]);
792 if (i != (sizeof(pfacts)/sizeof(pfacts[0]) - 1))
793 printf(",");
794 }
795
796 printf("}\n");
797 printf("//\n");
798 q = 0;
799 for (i=0; i < SIEVE_SIZE; i++)
800 if (sieve_table_a[i])
801 q++;
802 printf("#define %sN_SIEVE (%u)\n", NAMING_PREFIX, j);
803 printf("unsigned %ssieve[] = {\n", NAMING_PREFIX);
804 j = 0;
805 for (i=0; i < SIEVE_SIZE; i++)
806 {
807 if (sieve_table_a[i])
808 {
809 printf(" %3d", sieve_table_a[i]);
810 if (j==q)
811 printf(" ");
812 else
813 printf(",");
814 printf(" /* [%5d] (was [%d]) */\n", j, i);
815 j++;
816 }
817 }
818 printf(" };\n");
819
820 //Output the footer.
821 cptr = output_footer;
822 while (*cptr)
823 {
824 printf("%s\n", *cptr);
825 cptr++;
826 }
827
828 return(0);
829 }
830
831 //
832 //******************************************************************************************************
833 //$Log: sieve_gen.c,v $
834 //Revision 1.3 2003/04/16 07:02:06 dtashley
835 //Spelling of Greek name corrected to Eratosthenes from incorrect Erastothenes.
836 //
837 //Revision 1.2 2003/04/15 22:12:08 dtashley
838 //This utility is finished and has generated a satisfactory table, which
839 //will be part of the 'C' code of the CGI program.
840 //
841 //Revision 1.1 2003/04/15 20:01:26 dtashley
842 //Initial checkin.
843 //******************************************************************************************************
844 //End of file SIEVE_GEN.C

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