2020-05-26 10:56:38 +08:00
|
|
|
#include <cmath>
|
|
|
|
#include <iostream>
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
float eq(float i) {
|
|
|
|
return (std::pow(i, 3) - (4 * i) - 9); // original equation
|
2016-10-08 18:10:36 +08:00
|
|
|
}
|
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
int main() {
|
|
|
|
float a, b, x, z;
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
for (int i = 0; i < 100; i++) {
|
|
|
|
z = eq(i);
|
|
|
|
if (z >= 0) {
|
|
|
|
b = i;
|
|
|
|
a = --i;
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
std::cout << "\nFirst initial: " << a;
|
|
|
|
std::cout << "\nSecond initial: " << b;
|
|
|
|
for (int i = 0; i < 100; i++) {
|
|
|
|
x = (a + b) / 2;
|
|
|
|
z = eq(x);
|
|
|
|
std::cout << "\n\nz: " << z << "\t[" << a << " , " << b
|
|
|
|
<< " | Bisect: " << x << "]";
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
if (z < 0) {
|
|
|
|
a = x;
|
|
|
|
} else {
|
|
|
|
b = x;
|
|
|
|
}
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
if (z > 0 && z < 0.0009) // stoping criteria
|
|
|
|
break;
|
|
|
|
}
|
2016-10-08 18:10:36 +08:00
|
|
|
|
2020-05-26 10:56:38 +08:00
|
|
|
std::cout << "\n\nRoot: " << x;
|
|
|
|
return 0;
|
2016-10-08 18:10:36 +08:00
|
|
|
}
|