C      ALGORITHM 829, COLLECTED ALGORITHMS FROM ACM.
C      THIS WORK PUBLISHED IN TRANSACTIONS ON MATHEMATICAL SOFTWARE,
C      VOL. 29, NO. 4,  December, 2003, P. 469--480.
#! /bin/sh
# This is a shell archive, meaning:
# 1. Remove everything above the #! /bin/sh line.
# 2. Save the resulting text in a file.
# 3. Execute the file with /bin/sh (not csh) to create the files:
#	C/
#	C/Dp/
#	C/Dp/Drivers/
#	C/Dp/Drivers/Makefile
#	C/Dp/Drivers/README
#	C/Dp/Drivers/deriv009.txt
#	C/Dp/Drivers/example.c
#	C/Dp/Drivers/lmin001
#	C/Dp/Drivers/test001
#	C/Dp/Drivers/test001.txt
#	C/Dp/Src/
#	C/Dp/Src/gkls.c
#	C/Dp/Src/gkls.h
#	C/Dp/Src/rnd_gen.c
#	C/Dp/Src/rnd_gen.h
#	Doc/
#	Doc/Readme.txt
#	Doc/UserManual.bib
#	Doc/UserManual.ps
#	Doc/UserManual.tex
# This archive created: Fri Jan 23 09:55:41 2004
export PATH; PATH=/bin:$PATH
if test ! -d 'C'
then
	mkdir 'C'
fi
cd 'C'
if test ! -d 'Dp'
then
	mkdir 'Dp'
fi
cd 'Dp'
if test ! -d 'Drivers'
then
	mkdir 'Drivers'
fi
cd 'Drivers'
if test -f 'Makefile'
then
	echo shar: will not over-write existing file "'Makefile'"
else
cat << "SHAR_EOF" > 'Makefile'
# Example of a UNIX makefile provided to
# UNIX users for a simple compilation and linkage of separate files of
# the application project.
#
# Authors:                                                                
#
# M.Gaviano, D.E.Kvasov, D.Lera, and Ya.D.Sergeyev                     
#
gkls : example.o gkls.o rnd_gen.o
	$(CC) $(CFLAGS) -lm example.o gkls.o rnd_gen.o -o gkls
example.o : ../Src/gkls.h ../Src/rnd_gen.h example.c
	$(CC) -I. $(CFLAGS) -c example.c
gkls.o : ../Src/gkls.h ../Src/rnd_gen.h ../Src/gkls.c
	$(CC) -I. $(CFLAGS) -c ../Src/gkls.c
rnd_gen.o : ../Src/rnd_gen.h ../Src/rnd_gen.c
	$(CC) -I. $(CFLAGS) -c ../Src/rnd_gen.c
clean:
	-rm *.o
SHAR_EOF
fi # end of overwriting check
if test -f 'README'
then
	echo shar: will not over-write existing file "'README'"
else
cat << "SHAR_EOF" > 'README'
Line ** of example.c originally ran from 1 to 100. This generated 300+
output files so for the sake of brevity it has been set up to just
generate 4 file for immediate checking.
SHAR_EOF
fi # end of overwriting check
if test -f 'deriv009.txt'
then
	echo shar: will not over-write existing file "'deriv009.txt'"
else
cat << "SHAR_EOF" > 'deriv009.txt'
Gradients and Hessian matrix at the point with coordinates:
   x = ( 0.000000 0.000000 )


Vector of gradient of the D-type function number 9:
  grad D(x) = ( 1.400213 -0.616694 )

Vector of gradient of the D2-type function number 9:
  grad D2(x) = ( 1.422313 -0.703983 )

Hessian matrix of the D2-type function number 9:
 -10.261060  0.173888 
 0.173888  -10.902981 
SHAR_EOF
fi # end of overwriting check
if test -f 'example.c'
then
	echo shar: will not over-write existing file "'example.c'"
else
cat << "SHAR_EOF" > 'example.c'
/*****************************************************************************/
/*   An example of the use of the                                            */
/*    GKLS-Generator of Classes of ND (non-differentiable),                  */
/*                                 D  (continuously differentiable), and     */
/*                                 D2 (twice continuously differentiable)    */
/*    Test Functions for Global Optimization                                 */
/*                                                                           */
/*   In this example, first, a class (with default parameters) of            */
/*   100 D-type test functions is generated and the files with the function  */
/*   information and with the functions points (in the two-dimensional case) */
/*   are created;                                                            */
/*   second, a file with information about gradients and Hessian of specific */
/*   D- and D2-type test functions at a given point is provided.             */
/*                                                                           */
/*   Authors:                                                                */
/*                                                                           */
/*   M.Gaviano, D.E.Kvasov, D.Lera, and Ya.D.Sergeyev                        */
/*                                                                           */
/*   (C) 2002-2003                                                           */
/*                                                                           */
/*****************************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include <malloc.h>
#include "../Src/gkls.h"
#include "../Src/rnd_gen.h"

void print_error_msg  (int);

/* Print an error message */
void print_error_msg (int error_code)
{
  switch( error_code )
  {
    case GKLS_OK:
		printf("\nGKLS_OK: There is no error.");
		break;
    case GKLS_DIM_ERROR:
		printf("\nGKLS_DIM_ERROR: The problem dimension is out of the valid range [1,%u].",
			  (unsigned int)NUM_RND);
		break;
    case GKLS_NUM_MINIMA_ERROR:
		printf("\nGKLS_NUM_MINIMA_ERROR: The number of local minima must be greater than 1.");
		break;
    case GKLS_FUNC_NUMBER_ERROR:
		printf("\nGKLS_FUNC_NUMBER_ERROR: The number of the test function to be generated is out of the range [1,100].");
		break;
    case GKLS_BOUNDARY_ERROR:
		printf("\nGKLS_BOUNDARY_ERROR: The admissible region boundary vectors are not defined or ill-defined.");
		break;
    case GKLS_GLOBAL_MIN_VALUE_ERROR:
		printf("\nGKLS_GLOBAL_MIN_VALUE_ERROR: The global minimum value must be greater than %f.",
			  (double)GKLS_PARABOLOID_MIN);
		break;
    case GKLS_GLOBAL_DIST_ERROR:
		printf("\nGKLS_GLOBAL_DIST_ERROR: The distance from the paraboloid vertex to the global minimizer is too great.");
		break;
    case GKLS_GLOBAL_RADIUS_ERROR:
		printf("\nGKLS_GLOBAL_RADIUS_ERROR: The radius of the attraction region of the global minimizer is too high.");
		break;
    case GKLS_MEMORY_ERROR:
		printf("\nGKLS_MEMORY_ERROR: There is not enough memory to allocate.");
		break;
    case GKLS_DERIV_EVAL_ERROR:
		printf("\nGKLS_DERIV_EVAL_ERROR: An error occurs during derivative evaluation.");
		break;
    case GKLS_FLOATING_POINT_ERROR:
    default :
		printf("\nUnknown error.");
  }
  printf("\n");
} /* print_error_msg() */


int main()
{
 unsigned int i, j; /* cycle parameters     */
 int error_code;    /* error codes variable */
 int func_num;      /* test function number within a class     */
 double *xx, dx1, dx2; /* for evaluation of the test function */
                       /* on a grid with steps dx1, dx2       */
 double z;          /* test function value  */
 double *g, **h;    /* gradient and hessian matrix */
 FILE *GKLS_info, *min_info, *fp, *fderiv; /* file pointers */
 char filename[12]; /* name of files */

printf("\nGKLS-Generator of Classes of ND, D, and D2 Test Functions");
printf("\nfor Global Optimization,");
printf("\n(C) 2002-2003, M.Gaviano, D.E.Kvasov, D.Lera, and Ya.D.Sergeyev\n");


/*---------------------------------------------------------------------*/
/*  First, generate a class (with default parameters) of the D-type    */
/*  test functions and create the files with the function information  */
/*  and with the functions points (in the two-dimensional case).       */
/*---------------------------------------------------------------------*/

/* Set the input parameters */
if ((error_code=GKLS_set_default()) != GKLS_OK) {
	print_error_msg(error_code);
	return error_code;
}
  /* Another way to set the input parameters is:               */
  /* GKLS_dim = 2;                                             */
  /* GKLS_num_minima = 10;                                     */
  /* if ((error_code = GKLS_domain_alloc()) != GKLS_OK)        */
  /*    return error_code;                                     */
  /* GKLS_global_dist = 2.0/3.0;                               */
  /* GKLS_global_radius = 0.5*GKLS_global_dist;                */
  /* GKLS_global_value = GKLS_GLOBAL_MIN_VALUE;                */
  /* if ((error_code = GKLS_parameters_check()) != GKLS_OK)    */
  /*    return error_code;                                     */

/* Allocate memory for the vector xx of feasible point */
if ( (xx=(double *)malloc((size_t)GKLS_dim*sizeof(double))) == NULL)
    return (-1);

/* Generate the class of 100 D-type functions */
for (func_num=1; func_num <= 1; func_num++)
{
  if((error_code=GKLS_arg_generate (func_num)) != GKLS_OK) {
	print_error_msg(error_code);
	return error_code;
  }

  /* Open files */

  /* File of the test function information */
  sprintf(filename,"test%03d.txt",func_num);
  if ((GKLS_info=fopen(filename,"wt")) == NULL) return (-1);

  if (GKLS_dim == 2) {

	/* File of points */
	sprintf(filename,"test%03d",func_num);
 	if ((fp=fopen(filename,"wt")) == NULL) return (-1);

	/* File of local minimizers */
    sprintf(filename,"lmin%03d",func_num);
 	if ((min_info=fopen(filename,"wt")) == NULL) return (-1);

  }

  printf("\nGenerating the function number %d\n", func_num);

  fprintf(GKLS_info,"D-type function number %d", func_num);
  fprintf(GKLS_info,"\nof the class with the following parameters:");
  fprintf(GKLS_info,"\n    problem dimension      = %u;",GKLS_dim);
  fprintf(GKLS_info,"\n    number of local minima = %u;",GKLS_num_minima);
  fprintf(GKLS_info,"\n    global minimum value   = %f;",GKLS_global_value);
  fprintf(GKLS_info,"\n    radius of the g.m.attraction region = %f;", GKLS_global_radius);
  fprintf(GKLS_info,"\n    distance from the paraboloid vertex to the global minimizer = %f.", GKLS_global_dist);

  /* Information about local minimizers */
  fprintf(GKLS_info,"\n\nLocal minimizers:\n");
  for (i=0; i<GKLS_num_minima; i++) {
    fprintf(GKLS_info,"  f[%u] = f(",i+1);
    for (j=0; j<GKLS_dim; j++)
	 fprintf(GKLS_info,"%7.3f",GKLS_minima.local_min[i][j]);
    fprintf(GKLS_info,") = %7.3f;  ",GKLS_minima.f[i]);
	fprintf(GKLS_info,"rho[%u] = %7.3f.\n", i+1, GKLS_minima.rho[i]);
  }


  /* Information about global minimizers */
  if (GKLS_glob.gm_index == 0)
	fprintf(GKLS_info,"\nAn error during the global minimum searching was occurred!");
  else {
    if (GKLS_glob.num_global_minima == 1) {
	  fprintf(GKLS_info,"\n\nThere is one global minimizer.");
  	  fprintf(GKLS_info,"\nThe number of the global minimizer is: ");
	}
	else {
	  fprintf(GKLS_info,"\n\nThere are %u global minimizers.",GKLS_glob.num_global_minima);
  	  fprintf(GKLS_info,"\nThe numbers of the global minimizers are: ");
	}
    for (i=0; i<GKLS_glob.num_global_minima; i++) {
	  fprintf(GKLS_info,"%u ",GKLS_glob.gm_index[i]+1);
	  /* Vector of coordinates of this minimizer is:               */
	  /* double *x = GKLS_minima.local_min[GKLS_glob.gm_index[i]]  */
	}
  }

  if (GKLS_dim == 2) {
    /* Get the files of the local minimizers points */
    for (i=0; i<GKLS_num_minima; i++) {
     for (j=0; j<GKLS_dim; j++)
      fprintf(min_info,"%f ",GKLS_minima.local_min[i][j]);
	 fprintf(min_info,"%f\n",GKLS_minima.f[i]);
	}

  /* Function evaluating in the grid 100x100 */
  for (dx1=GKLS_domain_left[0]; dx1<=GKLS_domain_right[0]+GKLS_PRECISION;
       dx1+=(GKLS_domain_right[0] - GKLS_domain_left[0])/100.0)
	for (dx2=GKLS_domain_left[1]; dx2<=GKLS_domain_right[1]+GKLS_PRECISION;
         dx2+=(GKLS_domain_right[1] - GKLS_domain_left[1])/100.0)
    {
      xx[0]=dx1; xx[1]=dx2;
      z=GKLS_D_func(xx);
	  /* z=GKLS_ND_func(xx); -- for ND-type test function */
      /* z=GKLS_D2_func(xx); -- for D2-type test function */
	  if (z>=GKLS_MAX_VALUE-1000.0) /* An error: do something */;
	  else
	    fprintf(fp,"%f %f %f\n", dx1, dx2, z);
    }
  } /* Creating files for two-dimensional functions */

  /* Close files */
  if (GKLS_dim == 2) {
	 fclose(fp); fclose(min_info);
  }
  fclose(GKLS_info);
  /* Deallocate memory */
  GKLS_free();
} /* for func_num*/

/* Deallocate memory of the vector xx of feasible point */
  free(xx);

/*-----------------------------------------------------------------------*/
/*  Second, create the file with information about gradients of specific */
/*  D-type and D2-type test functions and about Hessian matrix of a      */
/*  specific D2-type test function at a given feasible point.            */
/*-----------------------------------------------------------------------*/

/* Set the input parameters of the class */
if ((error_code=GKLS_set_default()) != GKLS_OK) {
   print_error_msg(error_code);
   return error_code;
}

/* Allocate memory for the vector xx of feasible point */
if ( (xx=(double *)malloc((size_t)GKLS_dim*sizeof(double))) == NULL)
    return (-1);

 /* Generate a specific function from the class with default parameters */
 func_num = 9; /* test function number */
 if((error_code=GKLS_arg_generate (func_num)) != GKLS_OK) {
   print_error_msg(error_code);
   return error_code;
 }

 /* Open the file of gradients and Hessian matrix at a given point */
 sprintf(filename,"deriv%03d.txt",func_num);
 if ((fderiv=fopen(filename,"wt")) == NULL) return (-1);

 /* Allocate memory for the gradient vector and the Hessian matrix */
 if ( (g=(double *)malloc((size_t)GKLS_dim*sizeof(double))) == NULL)
    return (-1); /* gradient vector */
 if ( (h=(double **)malloc((size_t)GKLS_dim*sizeof(double *))) == NULL)
    return (-1); /* Hessian matrix */
 for (i=0; i<GKLS_dim; i++)
    if ( (h[i]=(double *)malloc((size_t)GKLS_dim*sizeof(double))) == NULL)
	  return (-1);

 /* Fix a trial point as the central point */
 for (i=0; i<GKLS_dim; i++) {
	 xx[i] = 0.5*(GKLS_domain_right[i] + GKLS_domain_left[i]);
 }

 fprintf(fderiv,"Gradients and Hessian matrix at the point with coordinates:\n");
 fprintf(fderiv,"   x = ( ");
  for (i=0; i<GKLS_dim; i++) {
     fprintf(fderiv,"%f ",xx[i]);
 }
 fprintf(fderiv,")\n\n");

 /* Evaluate the gradient of the D-type function with the given number */
 if ((error_code=GKLS_D_gradient(xx,g)) != GKLS_OK) {
	print_error_msg(error_code);
	return error_code;
 }

 fprintf(fderiv,"\nVector of gradient of the D-type function number %d:\n",func_num);
 fprintf(fderiv,"  grad D(x) = ( ");
 for (i=0; i<GKLS_dim; i++) {
	 fprintf(fderiv,"%f ",g[i]);
 }
 fprintf(fderiv,")\n");

 /* Evaluate the gradient of the D2-type function with the given number */
 if ((error_code=GKLS_D2_gradient(xx,g)) != GKLS_OK) {
	print_error_msg(error_code);
	return error_code;
 }

 fprintf(fderiv,"\nVector of gradient of the D2-type function number %d:\n",func_num);
 fprintf(fderiv,"  grad D2(x) = ( ");
 for (i=0; i<GKLS_dim; i++) {
	 fprintf(fderiv,"%f ",g[i]);
 }
 fprintf(fderiv,")\n");

 /* Evaluate the Hessian matrix of the D2-type function with the given number */
 if ((error_code=GKLS_D2_hessian(xx,h)) != GKLS_OK) {
	print_error_msg(error_code);
	return error_code;
 }

 fprintf(fderiv,"\nHessian matrix of the D2-type function number %d:\n",func_num);
 for (i=0; i<GKLS_dim; i++) {
     for (j=0; j<GKLS_dim; j++)
		 fprintf(fderiv," %f ",h[i][j]);
	 fprintf(fderiv,"\n");
 }

 /* Close file */
 fclose(fderiv);

 /* Deallocate memory */
 free(g);
 for (i=0; i<GKLS_dim; i++)
   free(h[i]);
 free(h);

 /* Deallocate memory of the vector xx of feasible point */
 free(xx);


 /* Deallocate the boundary vectors */
 GKLS_domain_free();

 return 0;

} /* example.c */
SHAR_EOF
fi # end of overwriting check
if test -f 'lmin001'
then
	echo shar: will not over-write existing file "'lmin001'"
else
cat << "SHAR_EOF" > 'lmin001'
-0.762614 0.597254 0.000000
-0.135523 0.823530 -1.000000
0.496543 -0.939405 0.655211
0.713418 0.627774 1.876545
-0.516797 -0.605404 0.933122
-0.998932 -0.459521 -0.044010
0.581651 0.549930 1.528956
-0.473927 -0.911208 1.540586
0.974159 -0.021107 1.586033
-0.244438 -0.587909 1.080109
SHAR_EOF
fi # end of overwriting check
if test -f 'test001'
then
	echo shar: will not over-write existing file "'test001'"
else
cat << "SHAR_EOF" > 'test001'
-1.000000 -1.000000 2.607573
-1.000000 -0.980000 2.544082
-1.000000 -0.960000 2.481392
-1.000000 -0.940000 2.419502
-1.000000 -0.920000 2.358412
-1.000000 -0.900000 2.298122
-1.000000 -0.880000 2.238632
-1.000000 -0.860000 2.179941
-1.000000 -0.840000 2.122051
-1.000000 -0.820000 2.064640
-1.000000 -0.800000 1.991642
-1.000000 -0.780000 1.896397
-1.000000 -0.760000 1.782104
-1.000000 -0.740000 1.651960
-1.000000 -0.720000 1.509161
-1.000000 -0.700000 1.356905
-1.000000 -0.680000 1.198390
-1.000000 -0.660000 1.036813
-1.000000 -0.640000 0.875371
-1.000000 -0.620000 0.717262
-1.000000 -0.600000 0.565682
-1.000000 -0.580000 0.423830
-1.000000 -0.560000 0.294902
-1.000000 -0.540000 0.182096
-1.000000 -0.520000 0.088610
-1.000000 -0.500000 0.017640
-1.000000 -0.480000 -0.027616
-1.000000 -0.460000 -0.043962
-1.000000 -0.440000 -0.037719
-1.000000 -0.420000 -0.019495
-1.000000 -0.400000 0.009027
-1.000000 -0.380000 0.046185
-1.000000 -0.360000 0.090317
-1.000000 -0.340000 0.139759
-1.000000 -0.320000 0.192850
-1.000000 -0.300000 0.247926
-1.000000 -0.280000 0.303326
-1.000000 -0.260000 0.357386
-1.000000 -0.240000 0.408445
-1.000000 -0.220000 0.454840
-1.000000 -0.200000 0.494907
-1.000000 -0.180000 0.526986
-1.000000 -0.160000 0.549413
-1.000000 -0.140000 0.560525
-1.000000 -0.120000 0.558661
-1.000000 -0.100000 0.542157
-1.000000 -0.080000 0.515025
-1.000000 -0.060000 0.488335
-1.000000 -0.040000 0.462445
-1.000000 -0.020000 0.437355
-1.000000 0.000000 0.413064
-1.000000 0.020000 0.389574
-1.000000 0.040000 0.366884
-1.000000 0.060000 0.344994
-1.000000 0.080000 0.323904
-1.000000 0.100000 0.303614
-1.000000 0.120000 0.284123
-1.000000 0.140000 0.265433
-1.000000 0.160000 0.247543
-1.000000 0.180000 0.230453
-1.000000 0.200000 0.214163
-1.000000 0.220000 0.198673
-1.000000 0.240000 0.183982
-1.000000 0.260000 0.170092
-1.000000 0.280000 0.157002
-1.000000 0.300000 0.144712
-1.000000 0.320000 0.133222
-1.000000 0.340000 0.122532
-1.000000 0.360000 0.112641
-1.000000 0.380000 0.103551
-1.000000 0.400000 0.095261
-1.000000 0.420000 0.087771
-1.000000 0.440000 0.081081
-1.000000 0.460000 0.075191
-1.000000 0.480000 0.070100
-1.000000 0.500000 0.065810
-1.000000 0.520000 0.062320
-1.000000 0.540000 0.059630
-1.000000 0.560000 0.057740
-1.000000 0.580000 0.056650
-1.000000 0.600000 0.056359
-1.000000 0.620000 0.056869
-1.000000 0.640000 0.058179
-1.000000 0.660000 0.060289
-1.000000 0.680000 0.063199
-1.000000 0.700000 0.066909
-1.000000 0.720000 0.071418
-1.000000 0.740000 0.076728
-1.000000 0.760000 0.082838
-1.000000 0.780000 0.089748
-1.000000 0.800000 0.097458
-1.000000 0.820000 0.105968
-1.000000 0.840000 0.115277
-1.000000 0.860000 0.125387
-1.000000 0.880000 0.136297
-1.000000 0.900000 0.148007
-1.000000 0.920000 0.160517
-1.000000 0.940000 0.173827
-1.000000 0.960000 0.187937
-1.000000 0.980000 0.202846
-1.000000 1.000000 0.218556
-0.980000 -1.000000 2.598477
-0.980000 -0.980000 2.534987
-0.980000 -0.960000 2.472297
-0.980000 -0.940000 2.410407
-0.980000 -0.920000 2.349316
-0.980000 -0.900000 2.289026
-0.980000 -0.880000 2.229536
-0.980000 -0.860000 2.170846
-0.980000 -0.840000 2.112956
-0.980000 -0.820000 2.055639
-0.980000 -0.800000 1.983333
-0.980000 -0.780000 1.888838
-0.980000 -0.760000 1.775351
-0.980000 -0.740000 1.646069
-0.980000 -0.720000 1.504190
-0.980000 -0.700000 1.352911
-0.980000 -0.680000 1.195429
-0.980000 -0.660000 1.034941
-0.980000 -0.640000 0.874643
-0.980000 -0.620000 0.717734
-0.980000 -0.600000 0.567409
-0.980000 -0.580000 0.426864
-0.980000 -0.560000 0.299293
-0.980000 -0.540000 0.187888
-0.980000 -0.520000 0.095832
-0.980000 -0.500000 0.026277
-0.980000 -0.480000 -0.017791
-0.980000 -0.460000 -0.034899
-0.980000 -0.440000 -0.031101
-0.980000 -0.420000 -0.014279
-0.980000 -0.400000 0.012945
-0.980000 -0.380000 0.048857
-0.980000 -0.360000 0.091794
-0.980000 -0.340000 0.140094
-0.980000 -0.320000 0.192097
-0.980000 -0.300000 0.246140
-0.980000 -0.280000 0.300563
-0.980000 -0.260000 0.353702
-0.980000 -0.240000 0.403896
-0.980000 -0.220000 0.449483
-0.980000 -0.200000 0.488799
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