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localslopes-main.c
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localslopes-main.c
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/*
FILE NAME: localslopes-main.c
DESCRIPTION: Calculates the mean, the variance and the autocorrelation
function C(t) for various lags 't' in the range 1 to argv[2]
Usage $./statistical-main.out file-with-data.ext max-tau-separation.
AUTHOR: Daniel Mejia Raigosa
DATE: 24, May 2011
VERSION: 2.1.1
*/
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include "commonroutines.c"
#define ARGS 3 // Number of Maximum Arguments (1 means no arguments!)
#define TITLESCN "Linear Fitting of Data" // Program Title
#define VER "1.2.1" // Version of the code
#define ANO "2011" // Date of code
#define MINT 1 //Minimal tau
#define PASO 1 //Step of tau
#define INTERV 5 // inverval for linear fit
//#define MAXT 200 //Max tau
void datadquire2d(char *filename,double x[],double y[],int *Nmax)
{
char info1[25],info2[25];
int N,i;
FILE *filedata;
opendatafile(&filedata,filename,"r"); //open the file for reading
i=0;//initialize counter
N=0;
while(!feof(filedata)) //checks if the end of file is reached
{
N=N+1;
fscanf(filedata,"%s %s\n",&info1,&info2);
x[i]=atof(info1);
y[i]=atof(info2);
//printf(" * Reading line %d : %.6E %.6E\n",N,x[i],y[i]);
i=i+1;
}
*Nmax=N;
fclose(filedata);
// printf(" * Total Readed Lines %d\n",N);
}
/* ************************** MAIN FUNCTION ************************** */
main(int argc,char *argv[]) // for input arguments, remeber argv[0]=program name argv[1]= first argument and so on
{
/* This section is made for argument validation */
if(argc > ARGS)
{
printf("Too many arguments supplied.\n");
printf(" Usage\'$ %s file-with-data.ext\' max-tau-separation\n\n",argv[0]);
exit(1);
}
else if (argc<ARGS)
{
printf("Some Arguments Expected\n");
printf(" Usage\'$ %s file-with-data.ext\' max-tau-separation\n\n",argv[0]);
exit(1);
}
/* Here begins the interesting part */
//variable definition
double x[MAXDATA],y[MAXDATA],A[MAXDATA],B[MAXDATA],sigma2[MAXDATA],mean,variance;
double delta,a,b,covab,s,sx,sy,sxx,sxy,sigma2a,sigma2b;
int cont,N,MAXT,tau,interval,k; // int max value 2,147,483,647 use long int for more data
char originfn[CHAPER],filename[CHAPER],fileext[CHAPER];
FILE *salida;
FILE *Mean;
FILE *local;
characternumber(argv[1],CHAPER); //Confirm Character allowed values
strcpy(originfn,argv[1]); //Convert file names
interval=atoi(argv[2]);
system("clear"); //clear screen
pimpi(TITLESCN,25); //pimps start up
printf("\n This tool will calculate some statistical properties...\n\n");
printf(" * Linear Fitting of Data File: \'%s\'\n",originfn);
datadquire2d(originfn,x,y,&N);
printf(" * Total Readed Data Lines : %d \n\n",N);
/* Calculation of the Mean and the Variance sigma squared */
printf(" * Making Calculations... \n\n",N);
printf(" [!] Fitting to y=Ax+B \n\n");
strcpy(filename,strtok(argv[1],".")); // separate data files
strcpy(fileext,strstr(originfn,"."));
strcpy(filename,strcat(filename,"-winlinfit")); //create a filename
strcat(filename,fileext);
opendatafile(&salida,filename,"w");
fprintf(salida,"### Local slopes of Data File %s \n",originfn);
fprintf(salida,"### Fitted to y=Ax+B \n");
fprintf(salida,"### A \t B \t sigma2_A \t sigma2_B\n");
tau=0;
k=0;
while(tau<N)
{
mean=0.0;
variance=0.0;
for(cont=tau;cont<tau+interval;cont=cont+2)
{
mean+=y[cont]+y[cont+1];
}
mean=mean/interval;
for(cont=tau;cont<tau+interval;cont++)
{
sigma2[cont]=pow(y[cont]-mean,2);
variance=sigma2[cont] + variance;
}
variance=variance/(interval-1);
for(cont=tau;cont<tau+interval;cont++)
{
s+=1/pow(sigma2[cont],2);
}
for(cont=tau;cont<tau+interval;cont++)
{
sx+=x[cont]/pow(sigma2[cont],2);
}
for(cont=tau;cont<tau+INTERV;cont++)
{
sxx+=pow(x[cont],2)/pow(sigma2[cont],2);
}
for(cont=tau;cont<tau+interval;cont++)
{
sy+=y[cont]/pow(sigma2[cont],2);
}
for(cont=tau;cont<tau+interval;cont++)
{
sxy+=(x[cont]*y[cont])/pow(sigma2[cont],2);
}
delta=s*sxx-pow(sx,2);
b = (sxx*sy-sx*sxy)/delta;
a = (s*sxy-sx*sy)/delta;
A[k]=a;
covab=-sx/delta;
sigma2a=sxx/delta;
sigma2b=s/delta;
/* Now Calculate */
/*
printf("\n * tau = %d \t Interval = %d\n",tau,interval);
printf(" * y-Mean = %.6E\n * Mean y-Variance = %.6E\n\n",originfn,mean,variance);
*/
printf(" * A = %.6E \t Variance of A = %.6E\n\n",a,sigma2a);
fprintf(salida,"%.6E\t%.6E\t%.6E\t%.6E\n",a,b,sigma2a,sigma2b);
tau=tau+interval;
k=k+1;
}
fclose(salida);
//*************************************************************
a=0;
for(cont=0;cont<N/interval+1;cont++)
{
a+=A[cont];
//printf("\n\n [!] The mean slope is %lf + %lf, %d + %d\n\n",a,A[cont],cont,N/interval);
}
a=a/(N/interval+1);
variance=0;
for(cont=0;cont<N/interval+1;cont++)
{
sigma2[cont]=pow(A[cont]-a,2);
variance=sigma2[cont] + variance;
}
variance=variance/(N/interval);
sigma2a=variance;
printf("\n\n [!] The mean slope is %.6E - S.E.M = %.6E\n\n",a,sqrt(variance/(N/interval)));
printf("\n * Window of %d points line-fiting saved on file \'%s\'",interval,filename);
b=0;
for(cont=0;cont<N/interval+1;cont++)
{
b+=B[cont];
//printf("\n\n [!] The mean slope is %lf + %lf, %d + %d\n\n",a,A[cont],cont,N/interval);
}
b=b/(N/interval+1);
variance=0;
for(cont=0;cont<N/interval+1;cont++)
{
sigma2[cont]=pow(B[cont]-a,2);
variance=sigma2[cont] + variance;
}
variance=variance/(N/interval);
sigma2b=variance;
strcpy(filename,strtok(argv[1],".")); // separate data files
strcpy(fileext,strstr(originfn,"."));
strcpy(filename,strcat(filename,"-meanslope")); //create a filename
strcat(filename,fileext);
opendatafile(&Mean,filename,"w");
fprintf(Mean,"### Linear Fitting of data file %s \n");
fprintf(Mean,"### Fitted to y=Ax+B \n### A = %.6E \t B= %.6E\n",a,b);
fprintf(Mean,"### Variance of A = %.6E \n### Variance of B = %.6E \n",sigma2a,sigma2b);
fprintf(Mean,"### x\ty\n",sigma2a,sigma2b);
for(cont=0;cont<N;cont++)
{
sx=a*x[cont]-b;
fprintf(Mean,"%lf\t%lf\n",x[cont],sx);
}
printf("\n * Mean Linear Fitting saved on\'%s\'",filename);
fclose(Mean);
//**********************************************************
strcpy(filename,strtok(argv[1],".")); // separate data files
strcpy(fileext,strstr(originfn,"."));
strcpy(filename,strcat(filename,"-slopes")); //create a filename
strcat(filename,fileext);
opendatafile(&local,filename,"w");
fprintf(local,"### Local Slopes m=(Y_{i+1}-Y_{i})/(X_{i+1}-X_{i}) of data file \n### \'%s\'\n",argv[1]);
sx=0;
sxy=0;
for(cont=0;cont<N;cont++)
{
sx=(y[cont+1]-y[cont])/(x[cont+1]-x[cont]);
sxy+=sx;
fprintf(local,"%.6E\n",sx);
}
// sxy=sxy/(N-1);
fprintf(local,"### Mean = %.6E , %.6E",sxy/(N-1),sxy/(N));
printf("\n\n * Local slopes saved on\'%s\'",filename);
fclose(local);
pimpe(TITLESCN,25);
exit(0);
} //End of Main Code