2018/20180707_cgi_web_tools_aux_exe/subfunc_gcd.c

//$Header$
//
//********************************************************************************
//Copyright (C) 2003 David T. Ashley
//********************************************************************************
//This program or source file is free software; you can redistribute it and/or 
//modify it under the terms of the GNU General Public License as published by
//the Free Software Foundation; either version 2 of the License, or (at your 
//option) any later version.
//
//This program or source file is distributed in the hope that it will 
//be useful, 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.
//
//You may have received a copy of the GNU General Public License
//along with this program; if not, write to the Free Software
//Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
//
//This module is the GCD subfunction of a general-purpose CGI-BIN program to support 
//number theory demonstration applications.  
//
//INPUT PARAMETERS
//----------------
//The subfunction accepts two parameters, the integers whose GCD is to be
//calculated.  There is substantial tolerance for invalid characters.
//Naturally, the integers should be positive.
//
//OUTPUT RESULTS
//--------------
//The notation below gives the outputs of the program.  In some cases, [i] notation
//is used to indicate line numbers.
//
//[01] An overall success or failure code for the operation.  Valid responses
//     are:
//        S      :  Success.
//        EP1A   :  The first integer could not be parsed, which means it is ill-formatted.
//        EP1B   :  The first integer was zero or negative.
//        EP2A   :  The second integer could not be parsed, which means it is ill-formatted.
//        EP2B   :  The second integer was zero or negative.
//        EQ     :  Other or unspecified error.
//
//[02] The fully normalized first integer entered.  This means it has been
//     stripped of all weird characters, etc.  This can be used by the 
//     PHP script to repopulate the form boxes.
//[03] The fully normalized second integer entered.
//
//In the event that the status code indicates error, no further lines
//will be written.
//
//[04] The round number of the application of Euclid's algorithm, starting
//     at "1".
//[05] "a".
//[06] "b".
//[07] a div b.
//[08] a mod b.
//[09] ... repeating sequence, starting back at [4] and repeating until a
//     zero remainder.
//[..] The GCD of the two integers.  This will be positive and
//     contain no commas or extraneous characters.
//[..] "S", indicating success.
//
//Note that as per the definition above, any valid non-error output from
//this program will contain a number of lines which is a multiple of 5.
//
//The return value (exit code) from this subfunction is always 0.
// 

#define MODULE_SUBFUNC_GCD

#include <assert.h>
#include <ctype.h>
#include <stddef.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>

#include <gmp.h>

#include "auxfuncs.h"
#include "subfunc_gcd.h"

int SUBFUNC_GCD_main(int argc, char *argv[])
   {
   //Normalized first and second parameters (the integers).
   char *arg1;
   char *arg2;

   //GMP types to maintain the algorithm.
   int round;
   mpz_t alg_a, alg_b, alg_adivb, alg_amodb;

   //There must be an acceptable number of command-line arguments.
   if (argc != 4)
      {
      printf("EQ\n0\n0\n");
      return(0);
      }

   //Copy the command-line arguments to a safe place where we can manipulate them.  
   //Leave 2 characters of space in case we assign a "0".
   arg1 = (char *)malloc((AUXFUNCS_size_t_max(1, strlen(argv[2])) + 1) * sizeof(char));
   arg2 = (char *)malloc((AUXFUNCS_size_t_max(1, strlen(argv[3])) + 1) * sizeof(char));
   if ((arg1 == NULL) || (arg2 == NULL))
      {
      printf("EQ\n%s\n%s\n", argv[2], argv[3]);
      exit(0);
      }
   strcpy(arg1, argv[2]);
   strcpy(arg2, argv[3]);

   //Strip all of the non-digit trash out of the arguments.
   AUXFUNCS_remove_non_digits(arg1);
   AUXFUNCS_remove_non_digits(arg2);

   //Remove all leading zeros from both arguments.
   AUXFUNCS_remove_leading_zeros(arg1);
   AUXFUNCS_remove_leading_zeros(arg2);

   //If either argument is zero length, fill it in with 0.
   if (!strlen(arg1))
      strcpy(arg1, "0");
   if (!strlen(arg2))
      strcpy(arg2, "0");

   //If either argument exceeds 1000 digits, abort.
   if ((strlen(arg1)>1000) || (strlen(arg2) > 1000))
      {
      printf("EQ\n0\n0\n");
      return(0);
      }

   //If either argument is zero, abort.
   if (!strcmp(arg1, "0"))
      {
      printf("EP1B\n0\n0\n");
      return(0);
      }
   if (!strcmp(arg2, "0"))
      {
      printf("EP2B\n0\n0\n");
      return(0);
      }

   //Initialize all of the GMP variables.
   mpz_init(alg_a);
   mpz_init(alg_b);
   mpz_init(alg_adivb);
   mpz_init(alg_amodb);

   //Assign a and b to initial values.
   mpz_set_str(alg_a, arg1, 10);
   mpz_set_str(alg_b, arg2, 10);

   //We assume at this point that we will be successful.  Output
   //the header stuff.
   printf("S\n");
   mpz_out_str(stdout, 10, alg_a); 
   printf("\n");     
   mpz_out_str(stdout, 10, alg_b); 
   printf("\n");     

   //We require as an initial condition that a >= b.  Make
   //that happen.
   if (mpz_cmp(alg_a, alg_b) < 0)
      {
      mpz_swap(alg_a, alg_b);
      }

   //To make the algorithm cleaner, we preload for the first
   //assignment.
   mpz_set(alg_amodb, alg_b);
   mpz_set(alg_b,     alg_a);

   //Now begin the algorithm proper.
   round = 0;
   do
      {
      //We are at next round.
      round++;
       
      //Values for this round inherited from the last one.
      mpz_set(alg_a, alg_b);
      mpz_set(alg_b, alg_amodb);
     
      //Calculate the quotient and remainder.
      mpz_fdiv_qr(alg_adivb, alg_amodb, alg_a, alg_b);

      //Output all the data from the round.
      printf("%d\n", round);
      mpz_out_str(stdout, 10, alg_a); 
      printf("\n");     
      mpz_out_str(stdout, 10, alg_b); 
      printf("\n");     
      mpz_out_str(stdout, 10, alg_adivb); 
      printf("\n");     
      mpz_out_str(stdout, 10, alg_amodb); 
      printf("\n");     
      }
   while((round < 2000) && (mpz_sgn(alg_amodb) > 0));

   //The GCD canonically will be the last non-zero remainder.
   mpz_out_str(stdout, 10, alg_b); 
   printf("\n");     

   //Finally, we output the trailing "S".
   printf("S\n");

   return(0);
   } 

//********************************************************************************
// $Log: subfunc_gcd.c,v $
// Revision 1.5  2003/07/01 03:46:58  dtashley
// Edits towards working continued fraction best rational approximation
// functionality.
//
// Revision 1.4  2003/04/17 20:02:05  dtashley
// License text for the GPL added.  All source files are now under the GPL,
// after some discussion on the GMP list.
//
// Revision 1.3  2003/04/14 23:27:01  dtashley
// Subfunction GMP_PROB_PRIME finished.
//
// Revision 1.2  2003/04/14 02:55:25  dtashley
// Final edits on GCD.
//
// Revision 1.1  2003/04/13 23:46:06  dtashley
// Initial checkin.
//********************************************************************************
// End of SUBFUNC_GCD.C.
//********************************************************************************
1	dashley	172	//$Header$
2			//
3			//********************************************************************************
4			//Copyright (C) 2003 David T. Ashley
5			//********************************************************************************
6			//This program or source file is free software; you can redistribute it and/or
7			//modify it under the terms of the GNU General Public License as published by
8			//the Free Software Foundation; either version 2 of the License, or (at your
9			//option) any later version.
10			//
11			//This program or source file is distributed in the hope that it will
12			//be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
13			//MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14			//GNU General Public License for more details.
15			//
16			//You may have received a copy of the GNU General Public License
17			//along with this program; if not, write to the Free Software
18			//Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19			//
20			//This module is the GCD subfunction of a general-purpose CGI-BIN program to support
21			//number theory demonstration applications.
22			//
23			//INPUT PARAMETERS
24			//----------------
25			//The subfunction accepts two parameters, the integers whose GCD is to be
26			//calculated. There is substantial tolerance for invalid characters.
27			//Naturally, the integers should be positive.
28			//
29			//OUTPUT RESULTS
30			//--------------
31			//The notation below gives the outputs of the program. In some cases, [i] notation
32			//is used to indicate line numbers.
33			//
34			//[01] An overall success or failure code for the operation. Valid responses
35			// are:
36			// S : Success.
37			// EP1A : The first integer could not be parsed, which means it is ill-formatted.
38			// EP1B : The first integer was zero or negative.
39			// EP2A : The second integer could not be parsed, which means it is ill-formatted.
40			// EP2B : The second integer was zero or negative.
41			// EQ : Other or unspecified error.
42			//
43			//[02] The fully normalized first integer entered. This means it has been
44			// stripped of all weird characters, etc. This can be used by the
45			// PHP script to repopulate the form boxes.
46			//[03] The fully normalized second integer entered.
47			//
48			//In the event that the status code indicates error, no further lines
49			//will be written.
50			//
51			//[04] The round number of the application of Euclid's algorithm, starting
52			// at "1".
53			//[05] "a".
54			//[06] "b".
55			//[07] a div b.
56			//[08] a mod b.
57			//[09] ... repeating sequence, starting back at [4] and repeating until a
58			// zero remainder.
59			//[..] The GCD of the two integers. This will be positive and
60			// contain no commas or extraneous characters.
61			//[..] "S", indicating success.
62			//
63			//Note that as per the definition above, any valid non-error output from
64			//this program will contain a number of lines which is a multiple of 5.
65			//
66			//The return value (exit code) from this subfunction is always 0.
67			//
68
69			#define MODULE_SUBFUNC_GCD
70
71			#include <assert.h>
72			#include <ctype.h>
73			#include <stddef.h>
74			#include <stdio.h>
75			#include <stdlib.h>
76			#include <string.h>
77			#include <time.h>
78
79			#include <gmp.h>
80
81			#include "auxfuncs.h"
82			#include "subfunc_gcd.h"
83
84			int SUBFUNC_GCD_main(int argc, char *argv[])
85			{
86			//Normalized first and second parameters (the integers).
87			char *arg1;
88			char *arg2;
89
90			//GMP types to maintain the algorithm.
91			int round;
92			mpz_t alg_a, alg_b, alg_adivb, alg_amodb;
93
94			//There must be an acceptable number of command-line arguments.
95			if (argc != 4)
96			{
97			printf("EQ\n0\n0\n");
98			return(0);
99			}
100
101			//Copy the command-line arguments to a safe place where we can manipulate them.
102			//Leave 2 characters of space in case we assign a "0".
103			arg1 = (char )malloc((AUXFUNCS_size_t_max(1, strlen(argv[2])) + 1) sizeof(char));
104			arg2 = (char )malloc((AUXFUNCS_size_t_max(1, strlen(argv[3])) + 1) sizeof(char));
105			if ((arg1 == NULL) \|\| (arg2 == NULL))
106			{
107			printf("EQ\n%s\n%s\n", argv[2], argv[3]);
108			exit(0);
109			}
110			strcpy(arg1, argv[2]);
111			strcpy(arg2, argv[3]);
112
113			//Strip all of the non-digit trash out of the arguments.
114			AUXFUNCS_remove_non_digits(arg1);
115			AUXFUNCS_remove_non_digits(arg2);
116
117			//Remove all leading zeros from both arguments.
118			AUXFUNCS_remove_leading_zeros(arg1);
119			AUXFUNCS_remove_leading_zeros(arg2);
120
121			//If either argument is zero length, fill it in with 0.
122			if (!strlen(arg1))
123			strcpy(arg1, "0");
124			if (!strlen(arg2))
125			strcpy(arg2, "0");
126
127			//If either argument exceeds 1000 digits, abort.
128			if ((strlen(arg1)>1000) \|\| (strlen(arg2) > 1000))
129			{
130			printf("EQ\n0\n0\n");
131			return(0);
132			}
133
134			//If either argument is zero, abort.
135			if (!strcmp(arg1, "0"))
136			{
137			printf("EP1B\n0\n0\n");
138			return(0);
139			}
140			if (!strcmp(arg2, "0"))
141			{
142			printf("EP2B\n0\n0\n");
143			return(0);
144			}
145
146			//Initialize all of the GMP variables.
147			mpz_init(alg_a);
148			mpz_init(alg_b);
149			mpz_init(alg_adivb);
150			mpz_init(alg_amodb);
151
152			//Assign a and b to initial values.
153			mpz_set_str(alg_a, arg1, 10);
154			mpz_set_str(alg_b, arg2, 10);
155
156			//We assume at this point that we will be successful. Output
157			//the header stuff.
158			printf("S\n");
159			mpz_out_str(stdout, 10, alg_a);
160			printf("\n");
161			mpz_out_str(stdout, 10, alg_b);
162			printf("\n");
163
164			//We require as an initial condition that a >= b. Make
165			//that happen.
166			if (mpz_cmp(alg_a, alg_b) < 0)
167			{
168			mpz_swap(alg_a, alg_b);
169			}
170
171			//To make the algorithm cleaner, we preload for the first
172			//assignment.
173			mpz_set(alg_amodb, alg_b);
174			mpz_set(alg_b, alg_a);
175
176			//Now begin the algorithm proper.
177			round = 0;
178			do
179			{
180			//We are at next round.
181			round++;
182
183			//Values for this round inherited from the last one.
184			mpz_set(alg_a, alg_b);
185			mpz_set(alg_b, alg_amodb);
186
187			//Calculate the quotient and remainder.
188			mpz_fdiv_qr(alg_adivb, alg_amodb, alg_a, alg_b);
189
190			//Output all the data from the round.
191			printf("%d\n", round);
192			mpz_out_str(stdout, 10, alg_a);
193			printf("\n");
194			mpz_out_str(stdout, 10, alg_b);
195			printf("\n");
196			mpz_out_str(stdout, 10, alg_adivb);
197			printf("\n");
198			mpz_out_str(stdout, 10, alg_amodb);
199			printf("\n");
200			}
201			while((round < 2000) && (mpz_sgn(alg_amodb) > 0));
202
203			//The GCD canonically will be the last non-zero remainder.
204			mpz_out_str(stdout, 10, alg_b);
205			printf("\n");
206
207			//Finally, we output the trailing "S".
208			printf("S\n");
209
210			return(0);
211			}
212
213			//********************************************************************************
214			// $Log: subfunc_gcd.c,v $
215			// Revision 1.5 2003/07/01 03:46:58 dtashley
216			// Edits towards working continued fraction best rational approximation
217			// functionality.
218			//
219			// Revision 1.4 2003/04/17 20:02:05 dtashley
220			// License text for the GPL added. All source files are now under the GPL,
221			// after some discussion on the GMP list.
222			//
223			// Revision 1.3 2003/04/14 23:27:01 dtashley
224			// Subfunction GMP_PROB_PRIME finished.
225			//
226			// Revision 1.2 2003/04/14 02:55:25 dtashley
227			// Final edits on GCD.
228			//
229			// Revision 1.1 2003/04/13 23:46:06 dtashley
230			// Initial checkin.
231			//********************************************************************************
232			// End of SUBFUNC_GCD.C.
233			//********************************************************************************