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| #include <conio.h>
#include <stdio.h>
#include <math.h>
double f(double x);
double fp(double x);
void hord(double a,double b,double e,double f(double));
void dil(double a,double b,double e, double f(double));
void dot(double a,double b,double e,double f(double),double fp(double));
int Sign(double x);
int main()
{
double a,b,e=0.00001;
FILE *ff;
//--------------koren #1----------------------
ff=fopen("dilennya.txt","w");
fprintf(ff,"koren #1:\n");
fclose(ff);
ff=fopen("hord.txt","w");
fprintf(ff,"koren #1:\n");
fclose(ff);
ff=fopen("dot.txt","w");
fprintf(ff,"koren #1:\n");
fclose(ff);
a=0; b=2;
dil(a,b,e,f);
hord(a,b,e,f);
dot(a,b,e,f,fp);
//-------------koren #2---------------------
ff=fopen("dilennya.txt","a");
fprintf(ff,"\n\nkoren #2:\n");
fclose(ff);
ff=fopen("hord.txt","a");
fprintf(ff,"\n\nkoren #2:\n");
fclose(ff);
ff=fopen("dot.txt","a");
fprintf(ff,"\n\nkoren #2:\n");
fclose(ff);
a=3; b=5;
dil(a,b,e,f);
hord(a,b,e,f);
dot(a,b,e,f,fp);
//---------------koren #3------------------
ff=fopen("dilennya.txt","a");
fprintf(ff,"\n\nkoren #3:\n");
fclose(ff);
ff=fopen("hord.txt","a");
fprintf(ff,"\n\nkoren #3:\n");
fclose(ff);
ff=fopen("dot.txt","a");
fprintf(ff,"\n\nkoren #3:\n");
fclose(ff);
a=-3; b=-0.75;
dil(a,b,e,f);
hord(a,b,e,f);
dot(a,b,e,f,fp);
}
double f(double x)
{
double q=x*x*x*x*x-2*x*x*x*x-4*x*x*x+2*x+6;
return q;
}
double fp(double x)
{
double q=5*x*x*x*x-8*x*x*x-12*x*x+2;
return q;
}
///////////////// Метод Ділення (бісекцій) /////////////////
int Sign(double x)
{
return x < 0 ? -1 : ((x==0) ? 0 : 1);
}
void dil(double a,double b,double e, double f(double))
{
double c,cc;
int n=0;
FILE *ff;
ff=fopen("dilennya.txt","a");
if(f(a) == 0)
{
c = a;
fprintf(ff,"Result: x=%lf f(x)=%lf\n",c,f(c));
}
if(f(b) == 0)
{
c = b;
fprintf(ff,"Result: x=%lf f(x)=%lf\n",c,f(c));
}
c=b;
cc = b - a;
while((fabs(f(c))>e)||(fabs(b-a)>e))
{
cc = cc / 2;
c = a +cc;
n++;
if(Sign(f(a)) != Sign(f(c))) { b = c;}
else {a = c;}
fprintf(ff,"%i) a=%lf b=%lf f(a)=%lf f(b)=%lf \n",n,a,b,f(a),f(b));
};
fprintf(ff,"Number of iteration = %i\n",n);
fprintf(ff,"Result: x=%lf f(x)=%lf\n",c,f(c));
fclose(ff);
}
///////////////// Метод Дотичних /////////////////
void dot(double a,double b,double e,double f(double),double fp(double))
{
double c2,c1;
int n=0;
FILE *ff;
ff=fopen("dot.txt","a");
c2=b;
do
{
c1=c2;
c2=c1-(f(c1)/fp(c1));
n++;
fprintf(ff,"%i) a=%lf b=%lf f(a)=%lf f(b)=%lf\n",n,a,b,f(a),f(b));
}
while((fabs(f(c2))>e)||(fabs(c2-c1)>e));
fprintf(ff,"Number of iteration = %i\n",n);
fprintf(ff,"Result: x=%lf f(x)=%lf\n",c2,f(c2));
fclose(ff);
}
///////////////// Метод Хорд /////////////////
void hord(double a,double b,double e,double f(double))
{
double c2,c1,c;
int n;
FILE *ff;
ff=fopen("hord.txt","a");
n=0;
do
{
c1=(a*f(b)-b*f(a))/(f(b)-f(a));
if ((f(a)*f(c1))<0)
b=c1;
else
a=c1;
c2=(a*f(b)-b*f(a))/(f(b)-f(a));
n++;
fprintf(ff,"%i) a=%lf b=%lf f(a)=%lf f(b)=%lf\n",n,a,b,f(a),f(b));
}
while ((fabs(f(c2))>e)||(fabs(c2-c1)>e));
fprintf(ff,"Number of iteration = %i\n",n);
fprintf(ff,"Result: x=%lf f(x)=%lf\n",c2,f(c2));
fclose(ff);
} |
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