Mathc gnuplot/Application : Tangente d'une courbe

/* ------------------------------------ */
/*  Save as :   c01.c                   */
/* ------------------------------------ */
#include "x_ahfile.h"
#include       "fe.h"
/* ------------------------------------ */
int main(void)
{
 printf(" Let C be the curve consisting of all"
        " ordered pairs (f(t),g(t)).\n\n"
        " With\n\n"
        " f : t-> %s\n\n"
        " g : t-> %s\n\n", feq, geq);

     G_Tan( i_WGnuplot(-10.,10.,-5.,5.),
            i_time(0,2.*PI,.05),
            2.,
            f,g,DgDf);

 printf(" To see the curve C, open the file \"a_main.plt\""
        " with Gnuplot.\n\n"
        "\n Press return to continue");
 getchar();

 return 0;
}

Le résultat.

Résultat dans gnuplot

Les fichiers h de ce chapitre

	`x_ahfile.h` Appel des fichiers

/* ------------------------------------ */
/*  Save as :   x_ahfile.h              */
/* ------------------------------------ */
#include    <stdio.h>
#include   <stdlib.h>
#include    <ctype.h>
#include     <time.h>
#include     <math.h>
#include   <string.h>
/* ------------------------------------ */
#include     "xdef.h"
#include     "xplt.h"
/* ------------------------------------ */
#include   "kg_tan.h"

	`fe.h` La fonction à dessiner

/* ------------------------------------ */
/*  Save as :   fe.h                    */
/* ------------------------------------ */
double f(
double t)
{
double a=2;
double k1=3;

        return( a*sin(k1*t) );
}
char  feq[] =  "a*sin(k1*t)";
/* ------------------------------------ */
double Df(
double t)
{
double a=2;
double k1=3;

        return( a*cos(k1*t)*k1);
}
char  Dfeq[] =  "a*cos(k1*t)*k1";
/* ------------------------------------ */
double g(
double t)
{
double b =3;
double k2=1;
        return( b*cos(k2*t) );
}
char  geq[] =  "b*cos(k2*t)";
/* ------------------------------------ */
double Dg(
double t)
{
double b =3;
double k2=1;
        return(  -b*sin(k2*t)*k2 );
}
char  Dgeq[] =  "-b*sin(k2*t)*k2";
/* ------------------------------------ */
double DgDf(
double t)
{
        return(Dg(t)/Df(t));
}

	`kg_tan.h` La fonction graphique

/* ------------------------------------ */
/*  Save as :   kg_tan.h                */
/* ------------------------------------ */
void G_Tan(
W_Ctrl W,
t_Ctrl T,
double c,
double (*P_f) (double t),
double (*P_g) (double t),
double (*PDgDf)(double t)
)
{
FILE   *fp;
double t;

        fp = fopen("a_main.plt","w");
fprintf(fp," set zeroaxis\n\n"
           " plot [%0.3f:%0.3f] [%0.3f:%0.3f]\\\n"
           " \"data.plt\" with linesp lt 3 pt 1,\\\n"
           " %0.6f*x %+0.6f\n"
           " reset",
             W.xmini,W.xmaxi,W.ymini,W.ymaxi,
             (*PDgDf)(c),
             (-(*PDgDf)(c)*(*P_f)(c)+(*P_g)(c)));
 fclose(fp);

             fp = fopen("data.plt","w");
 for(t=T.mini; t<=T.maxi; t+=T.step)
     fprintf(fp," %6.6f   %6.6f\n",(*P_f)(t),(*P_g)(t));
      fclose(fp);
}