esrgnxpj/sfnthcgi0304/sieve_gen.c

//$Header: /cvsroot/esrg/sfesrg/esrgnxpj/sfnthcgi0304/sieve_gen.c,v 1.3 2003/04/16 07:02:06 dtashley Exp $
//
//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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//            How to Apply These Terms to Your New Programs
//
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//possible use to the public, the best way to achieve this is to make it
//free software which everyone can redistribute and change under these terms.
//
//  To do so, attach the following notices to the program.  It is safest
//to attach them to the start of each source file to most effectively
//state the exclusion of warranty; and each file should have at least
//the "copyright" line and a pointer to where the full notice is found.
//
//    <one line to give the program's name and a brief idea of what it does.>
//    Copyright (C) <year>  <name of author>
//
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//    it under the terms of the GNU General Public License as published by
//    the Free Software Foundation, either version 3 of the License, or
//    (at your option) any later version.
//
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//    but WITHOUT ANY WARRANTY; without even the implied warranty of
//    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//    GNU General Public License for more details.
//
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//    along with this program.  If not, see <http://www.gnu.org/licenses/>.
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//notice like this when it starts in an interactive mode:
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//    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
//    This is free software, and you are welcome to redistribute it
//    under certain conditions; type `show c' for details.
//
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//parts of the General Public License.  Of course, your program's commands
//might be different; for a GUI interface, you would use an "about box".
//
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//if any, to sign a "copyright disclaimer" for the program, if necessary.
//For more information on this, and how to apply and follow the GNU GPL, see
//<http://www.gnu.org/licenses/>.
//
//  The GNU General Public License does not permit incorporating your program
//into proprietary programs.  If your program is a subroutine library, you
//may consider it more useful to permit linking proprietary applications with
//the library.  If this is what you want to do, use the GNU Lesser General
//Public License instead of this License.  But first, please read
//<http://www.gnu.org/philosophy/why-not-lgpl.html>.
//-------------------------------------------------------------------------------------------------
//--------------------------------------------------------------------------------
#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