/[dtapublic]/projs/dtats/trunk/projs/2018/20180707_cgi_web_tools_aux_exe/sieve_gen.c

Diff of /projs/dtats/trunk/projs/2018/20180707_cgi_web_tools_aux_exe/sieve_gen.c

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-revision 171 by dashley,
Sun Jul  8 21:12:48 2018 UTC
+revision 172 by dashley,
Sun Jul  8 21:17:26 2018 UTC
 Line 1
- //$Header: /cvsroot/esrg/sfesrg/esrgnxpj/sfnthcgi0304/sieve_gen.c,v 1.3 2003/04/16 07:02:06 dtashley Exp $
+ //$Header$
  //
  //Sieve of Eratosthenes Table Generation
  //--------------------------------------
  //This utility generates a sieve table used in trial division prime number factorization.
  //The table is a table of differentials to be added to trial divisors.
  //
  //--------------------------------------------------------------------------------
  //Copyright 2003 David T. Ashley
  //-------------------------------------------------------------------------------------------------
  //This source code and any program in which it is compiled/used is provided under the GNU GENERAL
  //PUBLIC LICENSE, Version 3, full license text below.
  //-------------------------------------------------------------------------------------------------
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  //--------------------------------------------------------------------------------
  #include <stdio.h>
  #define NAMING_PREFIX    "SUBFUNC_PFACT_"
  #define SIEVE_SIZE       (2310)     /* 2 * 3 * 5 * 7 * 11 */
  unsigned int pfacts[] = {2, 3, 5, 7, 11};
  unsigned int sieve_table_a[SIEVE_SIZE];
  char *output_header[] =
     {
     "//This file is an automatically-generated sieve table, generated by the",
     "//program \"sieve_gen.c\".",
     "//",
     NULL
     };
  char *output_footer[] =
     {
     "//",
     "//End of automatically-generated file.",
     NULL
     };
  int main(int argc, char *argv[])
     {
     int i, j;
     unsigned p, q;
     unsigned current_factor;
     char **cptr;
     //Initialize the sieve table. */
     for (i=0; i < SIEVE_SIZE; i++)
        {
        sieve_table_a[i] = 1;
        }
     /* For each prime component, mark off all multiples. */
     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
        {
        current_factor = pfacts[i];
        p = 0;
        while (p < SIEVE_SIZE)
           {
           sieve_table_a[p] = 0;
           p += current_factor;
           }
        }
     //Output the header.
     cptr = output_header;
     while (*cptr)
        {
        printf("%s\n", *cptr);
        cptr++;
        }
     //Convert the table of multiples into a table of differentials.  Each non-zero
     //entry will be replaced by the distance to the next entry.
     for (i=0; i < SIEVE_SIZE; i++)
        {
        if (sieve_table_a[i])
           {
           p = (i+1) % SIEVE_SIZE;
           while (sieve_table_a[p] == 0)
              {
              sieve_table_a[i]++;
              p = (p+1) % SIEVE_SIZE;
              }
           }
        }
     //Print out the table of differentials for reference.  Each entry will
     //be annotated with the prime factors that divide it.
     printf("//\n");
     printf("//For reference, below is the uncompressed table of differentials.  Each table\n");
     printf("//entry is annotated with the prime factors that divide it, if any.\n");
     printf("//\n");
     for (i=0; i < SIEVE_SIZE; i++)
        {
        printf("//   sieve_table[%5d]: %3d    (", i, sieve_table_a[i]);
        q = 0;
        for (j=0; j<sizeof(pfacts)/sizeof(pfacts[0]); j++)
           {
           if ((i % pfacts[j]) == 0)
              {
              printf("[%d]", pfacts[j]);
              q = 1;
              }
           }
        if (!q)
           printf("NONE");
        printf(")\n");
        }
     printf("//\n");
     //Now we compress the table and output the code proper.
     printf("#define  %sN_SIEVE_FACTORS     (%d)\n",  NAMING_PREFIX, sizeof(pfacts)/sizeof(pfacts[0]));
     printf("unsigned %ssieve_factors[] = {", NAMING_PREFIX);
     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
        {
        printf("%d", pfacts[i]);
        if (i != (sizeof(pfacts)/sizeof(pfacts[0]) - 1))
           printf(",");
        }
     printf("}\n");
     printf("//\n");
     q = 0;
     for (i=0; i < SIEVE_SIZE; i++)
        if (sieve_table_a[i])
           q++;
     printf("#define  %sN_SIEVE     (%u)\n",  NAMING_PREFIX, j);
     printf("unsigned %ssieve[] = {\n", NAMING_PREFIX);
     j = 0;
     for (i=0; i < SIEVE_SIZE; i++)
        {
        if (sieve_table_a[i])
           {
           printf("   %3d", sieve_table_a[i]);
           if (j==q)
              printf(" ");
           else
              printf(",");
           printf(" /* [%5d] (was [%d]) */\n", j, i);
           j++;
           }
        }
     printf("     };\n");
     //Output the footer.
     cptr = output_footer;
     while (*cptr)
        {
        printf("%s\n", *cptr);
        cptr++;
        }
     return(0);
     }
  //
  //******************************************************************************************************
  //$Log: sieve_gen.c,v $
  //Revision 1.3  2003/04/16 07:02:06  dtashley
  //Spelling of Greek name corrected to Eratosthenes from incorrect Erastothenes.
  //
  //Revision 1.2  2003/04/15 22:12:08  dtashley
  //This utility is finished and has generated a satisfactory table, which
  //will be part of the 'C' code of the CGI program.
  //
  //Revision 1.1  2003/04/15 20:01:26  dtashley
  //Initial checkin.
  //******************************************************************************************************
  //End of file SIEVE_GEN.C

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