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/* | |
____ _____ _ _ _ | |
| _ \ | __ \ (_) | | | | |
| |_) |_ _ | |__) |_ _ _ __ _____| |__ _ _| |_ ___ | |
| _ <| | | | | ___/ _` | '__|_ / | '_ \| | | | __/ _ \ | |
| |_) | |_| | | | | (_| | | / /| | |_) | |_| | || __/ | |
|____/ \__, | |_| \__,_|_| /___|_|_.__/ \__, |\__\___| | |
__/ | __/ | | |
|___/ |___/ | |
Blog: https://parzibyte.me/blog | |
Ayuda: https://parzibyte.me/blog/contrataciones-ayuda/ | |
Contacto: https://parzibyte.me/blog/contacto/ | |
Copyright (c) 2020 Luis Cabrera Benito | |
Licenciado bajo la licencia MIT | |
El texto de arriba debe ser incluido en cualquier redistribución | |
=========================================== | |
Método de la bisección en C++ | |
=========================================== | |
*/ | |
#include <iostream> | |
#include <cmath> | |
using namespace std; | |
float resolverEcuacion(float valor) { | |
// Con la ecuación: X^3 + 4X ^2 -10 | |
return pow(valor, 3) + 4 * (pow(valor, 2)) - 10; | |
} | |
int main() { | |
int iterador = 1; | |
/* | |
a = inferior | |
b = superior | |
*/ | |
float a = 1; | |
float b = 2; | |
float xi_xi = 0; | |
float ultimo_xi = 0; | |
printf( | |
"|-----------------------------------------------------------------------" | |
"--------------------------------------------\n"); | |
printf( | |
"| i | a | b | f(a) | f(b) | xi " | |
" | f(xi) |f(a) * f(xi) | xi-xi_ |\n"); | |
printf( | |
"|-----------------------------------------------------------------------" | |
"--------------------------------------------\n"); | |
while (1) { | |
float fa = resolverEcuacion(a); | |
float fb = resolverEcuacion(b); | |
float xi = (a + b) / 2; | |
float fxi = resolverEcuacion(xi); | |
float fa_fxi = fa * fxi; | |
xi_xi = abs(xi - ultimo_xi); | |
printf( | |
"|%3d |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f " | |
"|%12.8f\n", | |
iterador, a, b, fa, fb, xi, fxi, fa_fxi, xi_xi); | |
iterador++; | |
if (fa_fxi > 0) { | |
a = xi; | |
} else { | |
b = xi; | |
} | |
ultimo_xi = xi; | |
if (xi_xi == 0) { | |
break; | |
} | |
} | |
} |
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