//_29_函数的嵌套调用
//_29_main.cpp
//使用弦截法求解方程的根
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
//定义函数f,从而实现x^3-8*x^2+12*x-30=0
float f(float);
//定义函数xpoint,求出弦与x轴的焦点横坐标
float xpoint(float,float);
//定义函数root,求解区间(x1,x2)的实根
float root(float,float);
int main()
{
float x1,x2,f1,f2,x;
do
{
printf("Please input x1,x2:\n");
scanf("%f,%f",&x1,&x2);
f1 = f(x1);
f2 = f(x2);
}while(f1*f2 > 0);
x = root(x1,x2);
printf("A root of equation is %9.6f\n",x);
system("pause");
return 0;
}
float f(float x)
{
float y;
y = (float)(((x-8.0)*x+12.0)*x-30.0);
return y;
}
float xpoint(float x1,float x2)
{
float x;
x = (x1*f(x2) - x2*f(x1))/(f(x2)-f(x1));
return x;
}
float root(float x1,float x2)
{
float x,y;
float y1 = f(x1);
do
{
x = xpoint(x1,x2);
y = f(x);
if(y*y1 > 0)
{
y1 = y;
x1 = x;
}
else
{
x2 = x;
}
}while(fabs(y)>=0.0001);
return x;
}