DEV C++ 求 f(x)=log e (x) 之值
使用c++ Code
// C++ program for implementation of Lagrange's Interpolation
#include<bits/stdc++.h>
using namespace std;
// To represent a data point corresponding to x and y = f(x)
struct Data
{
double x, y;
};
// function to interpolate the given data points using Lagrange's formula
// xi corresponds to the new data point whose value is to be obtained
// n represents the number of known data points
double interpolate(Data f[], double xi, int n)
{
double result = 0; // Initialize result
for (int i=0; i<n; i++)
{
// Compute individual terms of above formula
//double term = f[i].y;
double term = 1;
for (int j=0;j<n;j++)
{
if (j!=i)
term = term*(xi - f[j].x)/double(f[i].x - f[j].x);
}
// Add current term to result
result = result+term*f[i].y;
}
return result;
}
// driver function to check the program
int main()
{
// creating an array of 4 known data points
Data f[] = {{1,0}, {2,0.693}, {3,1.099}, {4,1.386}};
// Using the interpolate function to obtain a data point
// corresponding to x=1.5
cout << "Value of f(1.5) is : " << interpolate(f, 1.5, 4);
return 0;
}
//=====================================================
// driver function to check the program
int main()
{
// creating an array of 4 known data points
Data f[] = {{1,0}, {1.2,0.182}, {1.4,0.336}, {2.0,0.693}};
// Using the interpolate function to obtain a data point
// corresponding to x=1.5
cout << "Value of f(1.5) is : " << interpolate(f, 1.5, 4);
return 0;
}
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