std::hermite in C++
Last Updated :
18 Jun, 2018
std::hermite is based on the hermite polynomial function given by:
After solving the Hermite’s Polynomial, the results come out to be like the following table:
Value of n |
Hermite(n,x) |
0 |
1 |
1 |
2x |
2 |
4x2-2 |
3 |
8x3-12x |
4 |
16x4-48x2+12 |
… |
… |
Examples:
Input: n = 2 x = 7
Output: 194
Formula for n = 2,
4x7x7 – 2 = 196 – 2 = 194
Input: n = 4 x = 12
Output: 324876
Formula for n = 4,
16x12x12x12x12 – 48x12x12 + 12 = 324876
Syntax:
std::hermite( unsigned int n, data_type x )
Parameters: The function accepts two mandatory parameters which are described below:
- n : Degree of Polynomial
- x : Value of x to be put in the function. The data_tpye can be float, double or long double.
Return value: This function returns the value which is the answer to the hermite’s polynomial.
Note: The std::hermite() function runs on GCC 7.1 (C++ 17) version.
Below programs illustrate the std::hermite() function:
Program 1:
#define __STDCPP_WANT_MATH_SPEC_FUNCS__ 1
#include<bits/stdc++.h>
int main()
{
std::cout << std::hermite(3, 10) << "\n" ;
std::cout << std::hermite(4, 10);
}
|
Output:
7880
15521
Error handling
- If the argument is NaN, NaN is returned and domain error is not reported.
- If n is greater or equal to 128, the behavior is implementation-defined.
Program 2:
#define __STDCPP_WANT_MATH_SPEC_FUNCS__ 1
#include<bits/stdc++.h>
int main()
{
std::cout << std::hermite(129, 10) << "\n" ;
}
|
Output:
-2.26912e+149
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