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1 dashley 27 //$Header: /cvsroot/esrg/sfesrg/esrgnxpj/sfnthcgi0304/sieve_gen.c,v 1.3 2003/04/16 07:02:06 dtashley Exp $
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     //
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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689     //-------------------------------------------------------------------------------------------------
690     //--------------------------------------------------------------------------------
691     #include <stdio.h>
694     #define SIEVE_SIZE (2310) /* 2 * 3 * 5 * 7 * 11 */
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     };
713     int main(int argc, char *argv[])
714     {
715     int i, j;
716     unsigned p, q;
717     unsigned current_factor;
718     char **cptr;
720     //Initialize the sieve table. */
721     for (i=0; i < SIEVE_SIZE; i++)
722     {
723     sieve_table_a[i] = 1;
724     }
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];
731     p = 0;
732     while (p < SIEVE_SIZE)
733     {
734     sieve_table_a[p] = 0;
735     p += current_factor;
736     }
737     }
739     //Output the header.
740     cptr = output_header;
741     while (*cptr)
742     {
743     printf("%s\n", *cptr);
744     cptr++;
745     }
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     }
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");
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     }
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");
820     //Output the footer.
821     cptr = output_footer;
822     while (*cptr)
823     {
824     printf("%s\n", *cptr);
825     cptr++;
826     }
828     return(0);
829     }
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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