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version 1.9, 2013/03/05 05:26:07 version 1.26, 2016/02/01 11:37:14
Line 1 
Line 1 
 /*  /*
 $OpenXM: OpenXM/src/hgm/mh/src/wmain.c,v 1.8 2013/03/01 05:26:25 takayama Exp $    $OpenXM: OpenXM/src/hgm/mh/src/wmain.c,v 1.25 2015/04/02 01:31:18 takayama Exp $
 License: LGPL    License: LGPL
  */  */
 #include <stdio.h>  #include <stdio.h>
 #include <stdlib.h>  #include <stdlib.h>
 #include <math.h>  #include <math.h>
 #include <string.h>  #include <string.h>
 #include "sfile.h"  #include "sfile.h"
   #include "mh.h"
 #define SMAX 4096  #define SMAX 4096
 #define inci(i) { i++; if (i >= argc) { fprintf(stderr,"Option argument is not given.\n"); return(NULL); }}  #define inci(i) { i++; if (i >= argc) { oxprintfe("Option argument is not given.\n"); return(NULL); }}
 int MH_deallocate=0;  int MH_deallocate=0;
   
   /*
     changelog
     2016.02.01  C_2F1
     2014.03.15  --strategy 1 is default. A new parser in setParam()
    */
 extern char *MH_Gfname;  extern char *MH_Gfname;
 extern char *MH_Dfname;  extern char *MH_Dfname;
   
Line 30  int MH_Dp;      /* Data sampling period */
Line 36  int MH_Dp;      /* Data sampling period */
 static double Xng=0.0;   /* the last point */  static double Xng=0.0;   /* the last point */
 int MH_RawName = 0;  int MH_RawName = 0;
 static int Testrank=0;  static int Testrank=0;
   /* If MH_success is set to 1, then strategy, MH_abserr, MH_relerr seem to
     be properly set.
   */
   int MH_success=0;
   /*
     Estimation of the maximal coeff of A in y'=Ay.
     This might be too rough estimate.
    */
   double MH_coeff_max;
   /*
     Estimation of h by MH_coeff_max;
    */
   double MH_estimated_start_step;
   
   #ifdef C_2F1
   int MH_P_pFq=2;
   int MH_Q_pFq=1;
   double MH_A_pFq[2];
   double MH_B_pFq[1];
   #else
   int MH_P_pFq=1;
   int MH_Q_pFq=1;
   double MH_A_pFq[1];
   double MH_B_pFq[1];
   #endif
 extern int MH_Verbose;  extern int MH_Verbose;
   extern int MH_strategy;
   extern double MH_abserr;
   extern double MH_relerr;
   
 extern int MH_P95;  /* 95 % points */  extern int MH_P95;  /* 95 % points */
 int mh_gopen_file(void);  int mh_gopen_file(void);
Line 39  static int setParamDefault(void);
Line 73  static int setParamDefault(void);
 static int setParam(char *fname);  static int setParam(char *fname);
 static int showParam(void);  static int showParam(void);
 static int next(struct SFILE *fp,char *s, char *msg);  static int next(struct SFILE *fp,char *s, char *msg);
   static double estimateHg(int m, double beta[],double x0);
   
   #ifdef C_2F1
   void mh_setabc(double a,double b,double c);
   #endif
 /* #define DEBUG */  /* #define DEBUG */
 #ifdef DEBUG  #ifdef DEBUG
 char *MH_Dfname; char *MH_Gfname; double MH_Hg;  char *MH_Dfname; char *MH_Gfname; double MH_Hg;
Line 63  static int mypower(int x,int n) {
Line 101  static int mypower(int x,int n) {
   return(a);    return(a);
 }  }
 #ifdef STANDALONE2  #ifdef STANDALONE2
 main(int argc,char *argv[]) {  int main(int argc,char *argv[]) {
     int strategy=STRATEGY_DEFAULT;
     double err[2]={-1.0,-1.0};
     int i;
   mh_exit(MH_RESET_EXIT); /* standalone mode */    mh_exit(MH_RESET_EXIT); /* standalone mode */
 /*  mh_main(argc,argv);    /*  mh_main(argc,argv);
   mh_freeWorkArea(); */        mh_freeWorkArea(); */
   mh_main(argc,argv);    mh_main(argc,argv);
     /* showParam(); */
     return(0);
 }  }
 #endif  #endif
 struct MH_RESULT *mh_main(int argc,char *argv[]) {  struct MH_RESULT *mh_main(int argc,char *argv[]) {
   static double *y0;    static double *y0=NULL;
   double x0,xn;    double x0,xn;
   double ef;    double ef;
   int i,rank;    int i,rank;
Line 82  struct MH_RESULT *mh_main(int argc,char *argv[]) {
Line 125  struct MH_RESULT *mh_main(int argc,char *argv[]) {
   if (MH_deallocate) { if (y0) mh_free(y0); return(rp); }    if (MH_deallocate) { if (y0) mh_free(y0); return(rp); }
   setParam(NULL); MH_Gfname = MH_Dfname = NULL; MH_Verbose=1;    setParam(NULL); MH_Gfname = MH_Dfname = NULL; MH_Verbose=1;
   for (i=1; i<argc; i++) {    for (i=1; i<argc; i++) {
         if (strcmp(argv[i],"--idata")==0) {      if (strcmp(argv[i],"--idata")==0) {
           inci(i);  
           setParam(argv[i]); MH_Verbose=0;  
         }else if (strcmp(argv[i],"--gnuplotf")==0) {  
           inci(i);  
           MH_Gfname = (char *)mh_malloc(SMAX);  
           strcpy(MH_Gfname,argv[i]);  
         }else if (strcmp(argv[i],"--dataf")==0) {  
           inci(i);  
           MH_Dfname = (char *)mh_malloc(SMAX);  
           strcpy(MH_Dfname,argv[i]);  
         }else if (strcmp(argv[i],"--xmax")==0) {  
       inci(i);        inci(i);
           sscanf(argv[i],"%lf",&Xng);        setParam(argv[i]); MH_Verbose=0;
         }else if (strcmp(argv[i],"--step")==0) {      }else if (strcmp(argv[i],"--gnuplotf")==0) {
       inci(i);        inci(i);
           sscanf(argv[i],"%lg",&MH_Hg);        MH_Gfname = (char *)mh_malloc(SMAX);
         }else if (strcmp(argv[i],"--help")==0) {        strcpy(MH_Gfname,argv[i]);
           mh_usage(); return(rp);      }else if (strcmp(argv[i],"--dataf")==0) {
         }else if (strcmp(argv[i],"--raw")==0) {        inci(i);
           MH_RawName = 1;        MH_Dfname = (char *)mh_malloc(SMAX);
         }else if (strcmp(argv[i],"--test")==0) {        strcpy(MH_Dfname,argv[i]);
           inci(i);      }else if (strcmp(argv[i],"--xmax")==0) {
           sscanf(argv[i],"%d",&Testrank);        inci(i);
           setParamTest();        sscanf(argv[i],"%lf",&Xng);
         }else if (strcmp(argv[i],"--95")==0) {      }else if (strcmp(argv[i],"--step")==0) {
           MH_P95=1;        inci(i);
         }else if (strcmp(argv[i],"--verbose")==0) {        sscanf(argv[i],"%lg",&MH_Hg);
           MH_Verbose=1;      }else if (strcmp(argv[i],"--help")==0) {
         }else if (strcmp(argv[i],"--bystring")==0) {        mh_usage(); return(rp);
           MH_byFile = 0;      }else if (strcmp(argv[i],"--raw")==0) {
         }else {        MH_RawName = 1;
           fprintf(stderr,"Unknown option %s\n",argv[i]);      }else if (strcmp(argv[i],"--test")==0) {
           mh_usage();        inci(i);
           return(rp);        sscanf(argv[i],"%d",&Testrank);
         }        setParamTest();
       }else if (strcmp(argv[i],"--95")==0) {
         MH_P95=1;
       }else if (strcmp(argv[i],"--verbose")==0) {
         MH_Verbose=1;
       }else if (strcmp(argv[i],"--bystring")==0) {
         MH_byFile = 0;
       }else if (strcmp(argv[i],"--strategy")==0) {
         i++; sscanf(argv[i],"%d",&MH_strategy);
       }else if (strcmp(argv[i],"--abserr")==0) {
         i++; sscanf(argv[i],"%lg",&MH_abserr);
       }else if (strcmp(argv[i],"--relerr")==0) {
         i++; sscanf(argv[i],"%lg",&MH_relerr);
       }else {
         oxprintfe("Unknown option %s\n",argv[i]);
         mh_usage();
         return(rp);
       }
   }    }
   if (MH_Verbose) showParam();  
   x0 = MH_X0g;    x0 = MH_X0g;
   xn = Xng;    xn = Xng;
   ef = Ef;    ef = Ef;
Line 127  struct MH_RESULT *mh_main(int argc,char *argv[]) {
Line 175  struct MH_RESULT *mh_main(int argc,char *argv[]) {
   y0 = (double *) mh_malloc(sizeof(double)*rank);    y0 = (double *) mh_malloc(sizeof(double)*rank);
   for (i=0; i<rank; i++) y0[i] = ef*Iv[i];    for (i=0; i<rank; i++) y0[i] = ef*Iv[i];
   mh_gopen_file();    mh_gopen_file();
   if (MH_Verbose) {for (i=0; i<rank; i++) printf("%lf\n",y0[i]); }  
   rp = (struct MH_RESULT*) mh_malloc(sizeof(struct MH_RESULT));    rp = (struct MH_RESULT*) mh_malloc(sizeof(struct MH_RESULT));
   
     if (MH_strategy) {
       if (MH_abserr > SIGDIGIT_DEFAULT*myabs(y0[0])) {
         MH_success = 0;
         oxprintfe("%%%%Warning, abserr seems not to be small enough, abserr=%lg, y[0]=%lg\n",MH_abserr,y0[0]);
       }else{
         MH_success = 1;
       }
     }else{
       MH_success = 0;
     }
     MH_estimated_start_step = estimateHg(MH_Mg,MH_Beta,MH_X0g);
     if (MH_Verbose) showParam();
     if (MH_Verbose) {for (i=0; i<rank; i++) oxprintf("%lf\n",y0[i]); }
   
   #ifdef C_2F1
     mh_setabc(MH_A_pFq[0],MH_A_pFq[1],MH_B_pFq[0]);
   #endif
   *rp=mh_rkmain(x0,y0,xn);    *rp=mh_rkmain(x0,y0,xn);
   return(rp);    return(rp);
 }  }
   
 int mh_usage() {  int mh_usage() {
   fprintf(stderr,"Usages:\n");    oxprintfe("Usages:\n");
   fprintf(stderr,"w-m [--idata input_data_file --gnuplotf gnuplot_file_name\n");  #ifdef C_2F1
   fprintf(stderr," --dataf output_data_file --raw --xmax xmax --test m --step h]\n");    oxprintfe("hgm_w-n-2f1 ");
   fprintf(stderr,"[ --95 --verbose] \n");  #else
   fprintf(stderr,"--raw does not add data parameters to the output_data_file.\n");    oxprintfe("hgm_w-n ");
   fprintf(stderr,"\nThe command w-m [options] evaluates Pr({y | y<xmax}), which is the cumulative distribution function of the largest root of the m by m Wishart matrix with n degrees of freedom and the covariantce matrix sigma.\n");  #endif
   fprintf(stderr,"All the eigenvalues of sigma must be simple.\n");    oxprintfe("   [--idata input_data_file --gnuplotf gnuplot_file_name\n");
   fprintf(stderr,"Parameters are specified by the input_data_file.\n");    oxprintfe(" --dataf output_data_file --raw --xmax xmax --test m --step h]\n");
   fprintf(stderr,"The format of the input_data_file.\n");    oxprintfe("[ --95 --verbose] \n");
   fprintf(stderr," MH_Mg: m, MH_Beta: beta=sigma^(-1)/2 (diagonized), MH_Ng: n, Iv: initial values at MH_X0g*MH_Beta (see our paper how to order them), \n");    oxprintfe("[ --strategy s --abserr ae --relerr re] \n");
   fprintf(stderr," Ef: a scalar factor to the initial value. It may set to 1.\n");    oxprintfe("s:0 rk, s:1 adaptive, s:2 adaptive&multiply, see rk.c for the default value of ae and re.\n");
   fprintf(stderr," MH_Hg: h (step size), MH_X0g: starting value of x, Xng: terminating value of x\n");    oxprintfe("strategy default = %d\n",MH_strategy);
   fprintf(stderr," MH_Dp: output data is stored in every MH_Dp steps when output_data_file is specified.\n");    oxprintfe("--raw does not add data parameters to the output_data_file.\n");
   fprintf(stderr," --95: output the 95%% point. --verbose: verbose mode.\n");    oxprintfe("\nThe command hgm_w-n [options] evaluates Pr({y | y<xmax}), which is the cumulative distribution function of the largest root of the m by m Wishart matrix with n degrees of freedom and the covariantce matrix sigma.\n");
   fprintf(stderr," The line started with %% is a comment line.\n");    oxprintfe("All the eigenvalues of sigma must be simple.\n");
   fprintf(stderr," An example format of the input_data_file can be obtained by executing w-2 with no option.\n");    oxprintfe("Parameters are specified by the input_data_file.\n");
   fprintf(stderr,"\nExamples:\n");    oxprintfe("Parameters are redefined when they appear more than once in the idata file and the command line options.\n");
   fprintf(stderr,"[1] ./w-2 \n");    oxprintfe("The format of the input_data_file, which should be generated by the command hgm_jack-n.\n");
   fprintf(stderr,"[2] ./w-2 --xmax 20\n");    oxprintfe(" MH_Mg: m, MH_Beta: beta=sigma^(-1)/2 (diagonized), MH_Ng: n, MH_X0g: starting value of x,\n");
   fprintf(stderr,"[3] ./w-6 --test 6\n");    oxprintfe(" Iv: initial values at MH_X0g*MH_Beta (see our paper how to order them), \n");
   fprintf(stderr,"   A test run of w-6.\n");    oxprintfe(" Ef: a scalar factor to the initial value. It may set to 1.\n");
   fprintf(stderr,"   The number m and mm must agree for  ./w-m --test mm.\n");    oxprintfe(" MH_Hg: h (step size),\n");
   fprintf(stderr,"[4] ./w-5 --idata tmp-inm-m5* --gnuplot tmp-graph\n");    oxprintfe(" MH_Dp: output data is stored in every MH_Dp steps when output_data_file is specified.\n");
   fprintf(stderr,"  tmp-inm-m5* is a sample input data distributed with this file.\n");    oxprintfe(" Xng: terminating value of x.\n\n");
   fprintf(stderr,"  tmp-graph-gp.txt is an input file of the gnuplot\n");    oxprintfe("--95: output the 95%% point. --verbose: verbose mode.\n");
   fprintf(stderr,"  It can be executed with the load command in the gnuplot.\n");    oxprintfe("The line started with %%%% or # is a comment line.\n");
   fprintf(stderr,"  tmp-graph is the table of x and the values of Pr({y | y<x}).\n");    oxprintfe("An example format of the input_data_file can be obtained by executing hgm_jack-n with no option.\n");
     oxprintfe("When --idata option is used, this command is quiet. Use --verbose option if you want to see some messages.\n");
     oxprintfe("\nExamples:\n");
     oxprintfe("[1] ./hgm_w-n \n");
     oxprintfe("[2] ./hgm_w-n --xmax 20\n");
     oxprintfe("[3] ./hgm_w-n --test 6\n");
     oxprintfe("   A test run in Mg=6.\n");
     oxprintfe("[4] ./hgm_jack-n --idata Testdata/tmp-idata3.txt >t.txt\n");
     oxprintfe("    ./hgm_w-n --idata t.txt --gnuplotf test-g --verbose\n");
     oxprintfe("    gnuplot -persist <test-g-gp.txt\n");
     oxprintfe("  tmp-idata3.txt is a sample input data distributed with this file.\n");
     oxprintfe("  test-g-gp.txt is an input file of the gnuplot\n");
     oxprintfe("  test-g is the table of x and the values of Pr({y | y<x}).\n"); return(0);
 }  }
   
 static int setParamTest() {  static int setParamTest() {
Line 181  static int setParamTest() {
Line 258  static int setParamTest() {
   MH_X0g = 0.3;    MH_X0g = 0.3;
   MH_Hg = 0.001;    MH_Hg = 0.001;
   MH_Dp = 1;    MH_Dp = 1;
   Xng = 10.0;    Xng = 10.0; return(0);
 }  }
 static int setParamDefault() {  static int setParamDefault() {
   int rank;    int rank;
Line 199  static int setParamDefault() {
Line 276  static int setParamDefault() {
   MH_X0g = 0.3;    MH_X0g = 0.3;
   MH_Hg = 0.001;    MH_Hg = 0.001;
   MH_Dp = 1;    MH_Dp = 1;
   Xng = 10.0;    Xng = 10.0; return(0);
 }  }
   
 static int next(struct SFILE *sfp,char *s,char *msg) {  static int next(struct SFILE *sfp,char *s,char *msg) {
   s[0] = '%';    s[0] = '%';
   while (s[0] == '%') {    while (s[0] == '%') {
         if (!mh_fgets(s,SMAX,sfp)) {      if (!mh_fgets(s,SMAX,sfp)) {
           fprintf(stderr,"Data format error at %s\n",msg);        oxprintfe("Data format error at %s\n",msg);
           mh_exit(-1);        mh_exit(-1);
         }      }
         if (s[0] != '%') return(0);      if (s[0] != '%') return(0);
   }    } return(0);
 }  }
 static int setParam(char *fname) {  static int setParam(char *fname) {
   int rank;    int rank;
   char s[SMAX];    char s[SMAX];
   struct SFILE *fp;    struct SFILE *fp;
   int i;    int i;
     struct mh_token tk;
   extern int MH_deallocate;    extern int MH_deallocate;
   extern int MH_byFile;    extern int MH_byFile;
   if (MH_deallocate) {    if (MH_deallocate) {
         if (MH_Beta) mh_free(MH_Beta);      if (MH_Beta) mh_free(MH_Beta);
         if (MH_Ng) mh_free(MH_Ng);      if (MH_Ng) mh_free(MH_Ng);
         if (Iv) mh_free(Iv);      if (Iv) mh_free(Iv);
         return(0);      return(0);
   }    }
   if (fname == NULL) return(setParamDefault());    if (fname == NULL) return(setParamDefault());
   
   if ((fp=mh_fopen(fname,"r",MH_byFile)) == NULL) {    if ((fp=mh_fopen(fname,"r",MH_byFile)) == NULL) {
         fprintf(stderr,"File %s is not found.\n",fname);      oxprintfe("File %s is not found.\n",fname);
         mh_exit(-1);      mh_exit(-1);
   }    }
   next(fp,s,"MH_Mg(m)");    next(fp,s,"MH_Mg(m)");
   sscanf(s,"%d",&MH_Mg); MH_M=MH_Mg;    sscanf(s,"%d",&MH_Mg); MH_M=MH_Mg;
Line 238  static int setParam(char *fname) {
Line 316  static int setParam(char *fname) {
   MH_Beta = (double *)mh_malloc(sizeof(double)*MH_Mg);    MH_Beta = (double *)mh_malloc(sizeof(double)*MH_Mg);
   for (i=0; i<MH_Mg; i++) {    for (i=0; i<MH_Mg; i++) {
     next(fp,s,"MH_Beta");      next(fp,s,"MH_Beta");
         sscanf(s,"%lf",&(MH_Beta[i]));      sscanf(s,"%lf",&(MH_Beta[i]));
   }    }
   
   MH_Ng = (double *)mh_malloc(sizeof(double));    MH_Ng = (double *)mh_malloc(sizeof(double));
Line 250  static int setParam(char *fname) {
Line 328  static int setParam(char *fname) {
   
   Iv = (double *)mh_malloc(sizeof(double)*rank);    Iv = (double *)mh_malloc(sizeof(double)*rank);
   for (i=0; i<rank; i++) {    for (i=0; i<rank; i++) {
         next(fp,s,"Iv(initial values)");      next(fp,s,"Iv(initial values)");
         sscanf(s,"%lg",&(Iv[i]));      sscanf(s,"%lg",&(Iv[i]));
   }    }
   
   next(fp,s,"Ef(exponential factor)");    next(fp,s,"Ef(exponential factor)");
Line 265  static int setParam(char *fname) {
Line 343  static int setParam(char *fname) {
   
   next(fp,s,"Xng (the last point, cf. --xmax)");    next(fp,s,"Xng (the last point, cf. --xmax)");
   sscanf(s,"%lf",&Xng);    sscanf(s,"%lf",&Xng);
   mh_fclose(fp);  
     /* Reading the optional parameters */
     while ((tk = mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_EOF) {
       /* expect ID */
       if (tk.type != MH_TOKEN_ID) {
         oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
       }
       if ((strcmp(s,"abserr")==0) || (strcmp(s,"abserror")==0)) {
         if (mh_getoken(s,SMAX-1,fp).type != MH_TOKEN_EQ) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         if ((tk=mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_DOUBLE) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         MH_abserr = tk.dval;
         continue;
       }
       if ((strcmp(s,"relerr")==0) || (strcmp(s,"relerror")==0)) {
         if (mh_getoken(s,SMAX-1,fp).type != MH_TOKEN_EQ) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         if ((tk=mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_DOUBLE) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         MH_relerr = tk.dval;
         continue;
       }
       if (strcmp(s,"strategy")==0) {
         if (mh_getoken(s,SMAX-1,fp).type != MH_TOKEN_EQ) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         if ((tk=mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_INT) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         MH_strategy = tk.ival;
         continue;
       }
       // Format: #p_pFq=2  1.5  3.2
       if (strcmp(s,"p_pFq")==0) {
         if (mh_getoken(s,SMAX-1,fp).type != MH_TOKEN_EQ) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         if ((tk=mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_INT) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         MH_P_pFq = tk.ival;
         for (i=0; i<MH_P_pFq; i++) {
           if ((tk=mh_getoken(s,SMAX-1,fp)).type == MH_TOKEN_DOUBLE) {
             MH_A_pFq[i] = tk.dval;
           }else if (tk.type == MH_TOKEN_INT) {
             MH_A_pFq[i] = tk.ival;
           }else{
             oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
           }
         }
         continue;
       }
       if (strcmp(s,"q_pFq")==0) {
         if (mh_getoken(s,SMAX-1,fp).type != MH_TOKEN_EQ) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         if ((tk=mh_getoken(s,SMAX-1,fp)).type != MH_TOKEN_INT) {
           oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
         }
         MH_Q_pFq = tk.ival;
         for (i=0; i<MH_Q_pFq; i++) {
           if ((tk=mh_getoken(s,SMAX-1,fp)).type == MH_TOKEN_DOUBLE) {
             MH_B_pFq[i] = tk.dval;
           }else if (tk.type == MH_TOKEN_INT) {
             MH_B_pFq[i] = tk.ival;
           }else{
             oxprintfe("Syntax error at %s\n",s); mh_exit(-1);
           }
         }
         continue;
       }
       oxprintfe("Unknown ID for wmain.c (old...) at %s.\n",s);  mh_exit(-1);
     }
   
     mh_fclose(fp); return(0);
 }  }
   
 int showParam() {  static int showParam() {
   int rank,i;    int rank,i;
     extern int MH_strategy;
     extern double MH_abserr;
     extern double MH_relerr;
   rank = mypower(2,MH_Mg);    rank = mypower(2,MH_Mg);
   printf("%%MH_Mg=\n%d\n",MH_Mg);    oxprintf("%%MH_Mg=\n%d\n",MH_Mg);
   for (i=0; i<MH_Mg; i++) {    for (i=0; i<MH_Mg; i++) {
         printf("%%MH_Beta[%d]=\n%lf\n",i,MH_Beta[i]);      oxprintf("%%MH_Beta[%d]=\n%lf\n",i,MH_Beta[i]);
   }    }
   printf("%%MH_Ng=\n%lf\n",*MH_Ng);    oxprintf("%%MH_Ng=\n%lf\n",*MH_Ng);
   printf("%%MH_X0g=\n%lf\n",MH_X0g);    oxprintf("%%MH_X0g=\n%lf\n",MH_X0g);
   for (i=0; i<rank; i++) {    for (i=0; i<rank; i++) {
         printf("%%Iv[%d]=\n%lg\n",i,Iv[i]);      oxprintf("%%Iv[%d]=\n%lg\n",i,Iv[i]);
   }    }
   printf("%%Ef=\n%lf\n",Ef);    oxprintf("%%Ef=\n%lf\n",Ef);
   printf("%%MH_Hg=\n%lf\n",MH_Hg);    oxprintf("%%MH_Hg=\n%lf\n",MH_Hg);
   printf("%%MH_Dp=\n%d\n",MH_Dp);    oxprintf("%%MH_Dp=\n%d\n",MH_Dp);
   printf("%%Xng=\n%lf\n",Xng);    oxprintf("%%Xng=\n%lf\n",Xng);
     oxprintf("%%strategy=%d\n",MH_strategy);
     oxprintf("%%abserr=%lg, %%relerr=%lg\n",MH_abserr,MH_relerr);
     oxprintf("#MH_success=%d\n",MH_success);
     oxprintf("#MH_coeff_max=%lg\n",MH_coeff_max);
     oxprintf("#MH_estimated_start_step=%lg\n",MH_estimated_start_step);
   #ifdef C_2F1
     oxprintf("%%q_pFq=%d, ",MH_P_pFq);
     for (i=0; i<MH_P_pFq; i++) {
       if (i != MH_P_pFq-1) oxprintf(" %lg,",MH_A_pFq[i]);
       else oxprintf(" %lg\n",MH_A_pFq[i]);
     }
     oxprintf("%%q_pFq=%d, ",MH_Q_pFq);
     for (i=0; i<MH_Q_pFq; i++) {
       if (i != MH_Q_pFq-1) oxprintf(" %lg,",MH_B_pFq[i]);
       else oxprintf(" %lg\n",MH_B_pFq[i]);
     }
   #endif
     return(0);
 }  }
   
   static double estimateHg(int m, double beta[],double x0) {
     int i,j;
     double dmin;
     double cmax;
     double h;
     /* mynote on 2014.03.15 */
     if (m>1) dmin = myabs(beta[1]-beta[0]);
     else dmin=myabs(beta[0]);
     for (i=0; i<m; i++) {
       for (j=i+1; j<m; j++) {
         if (myabs(beta[i]-beta[j]) < dmin) dmin = myabs(beta[i]-beta[j]);
       }
     }
     dmin = dmin*x0*2;
     cmax = 1.0;
     for (i=0; i<m; i++) cmax = cmax*dmin;
     cmax = 1.0/cmax;
     MH_coeff_max=cmax;
     h = exp(log(MH_abserr/cmax)/5.0);
     MH_estimated_start_step = h;
     return h;
   }
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  Added in v.1.26
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