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#include <stdio.h>
#include <math.h>
double sin(double x){
return sin(x);
}
double cos(double x){
return cos(x);
}
double evaluate(double f(double), double x) {
double value = f(x);
return value;
}
double func1(double x) {
return 3*x*x*x - 3*x*x + 0.2;
}
double func2(double x) {
return x*x*x*x - 3*x*x - 8;
}
double func3(double x) {
return 2*sin(2*x) - 3*cos(3*x);
}
int main(void)
{
int o, p;
double error, a, b, x;
double f_mid = (a + b)/2;
double fabs(a, b){
return fabs(a-b);
}
printf("Which function do you want to choose (1,2,3): ");
error1:
scanf("%d", &o);
switch ( o ) {
case 1:
printf("Which interval do you want to choose (1,2): ");
error2:
scanf("%d", &p);
printf("What error is accepted (epsilon): ");
scanf("%f", &error);
switch ( p ) {
case 1:
a = -1;
b = 0;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
printf("The value of f at %f is %f\n", f_mid, evaluate(func1, f_mid));
break;
case 2:
a = 0;
b = 0.5;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
printf("The value of f at %f is %f\n", f_mid, evaluate(func1, f_mid));
break;
default:
printf("ERROR: Enter 1 or 2 for your interval: ");
goto error2;
break;
}
break;
case 2:
printf("Which interval do you want to choose (1,2): ");
error3:
scanf("%d", &p);
printf("What error is accepted (epsilon): ");
scanf("%f", &error);
switch ( p ) {
case 1:
a = -4;
b = -2;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
printf("The root is %f", f_mid);
break;
case 2:
a = 2;
b = 4;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
break;
default:
printf("ERROR: Enter 1 or 2 for your interval: ");
goto error3;
break;
}
printf("The value of f at %f is %f\n", f_mid, evaluate(func2, f_mid));
break;
case 3:
printf("Which interval do you want to choose (1,2): ");
error4:
scanf("%d", &p);
printf("What error is accepted (epsilon): ");
scanf("%f", &error);
switch ( p ) {
case 1:
a = 0;
b = 1;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
printf("The root is %f", f_mid);
break;
case 2:
a = 1;
b = 2;
while(fabs(a, b) > error)
if(f_mid == 0)
return printf("The root is %f", f_mid);
else if((f_mid * func1(a)) < 0.0)
b = f_mid;
else((f_mid * func1(b)) < 0.0);
a = f_mid;
break;
default:
printf("ERROR: Enter 1 or 2 for your interval: ");
goto error4;
break;
}
printf("The value of f at %f is %f\n", f_mid, evaluate(func3, f_mid));
break;
default:
printf("Enter a number between 1 and 3: ");
goto error1;
break;
}
return 0;
}
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