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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 regla falsa | |
=========================================== | |
*/ | |
#include <cmath> | |
#include <iostream> | |
using namespace std; | |
double resolverEcuacion(double valor) { | |
// Con la ecuación: x^3-7x^2+14x-6 | |
return pow(valor, 3) - 7 * pow(valor, 2) + 14 * valor - 6; | |
} | |
double obtenerxr(double a, double b, double fa, double fb) { | |
return ((a * fb) - (b * fa)) / (fb - fa); | |
} | |
int main() { | |
double a = 1; | |
double b = 3.2; | |
int iterador = 1; | |
double tolerancia = 0; | |
double anterior_xr = 0; | |
double toleranciaDeseada = 0.001; | |
printf("Método de la Regla Falsa\n"); | |
printf("f(x)= x^3-7x^2+14x-6\n"); | |
printf("Intervalos: [%0.2f, %0.2f]\n", a, b); | |
printf("Tolerancia: %0.4f\n\n\n", toleranciaDeseada); | |
printf("+-----------+-------------+-------------+-------------+-------------+" | |
"-------------+-------------+-------------+------------+\n"); | |
printf("|Iteraciones| a | b | f(a) | f(b) " | |
"| xr | f(xr) | f(a)*f(xr) | Tolerancia |\n"); | |
printf("+-----------+-------------+-------------+-------------+-------------+" | |
"-------------+-------------+-------------+------------+\n"); | |
while (1) { | |
double fa = resolverEcuacion(a); | |
double fb = resolverEcuacion(b); | |
double xr = obtenerxr(a, b, fa, fb); | |
double fxr = resolverEcuacion(xr); | |
double fa_fxr = fa * fxr; | |
tolerancia = anterior_xr - xr; | |
if (iterador == 1) { | |
tolerancia = 0; | |
} | |
printf("|%10d |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f |%12.8f " | |
"|%12.8f|\n", | |
iterador, a, b, fa, fb, xr, fxr, fa_fxr, tolerancia); | |
if (fxr > 0) { | |
a = xr; | |
} else { | |
b = xr; | |
} | |
anterior_xr = xr; | |
if (iterador != 1 && tolerancia < toleranciaDeseada) { | |
break; | |
} | |
iterador++; | |
} | |
printf("+-----------+-------------+-------------+-------------+-------------+" | |
"-------------+-------------+-------------+------------+\n"); | |
} |
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