lattice_sum.c File Reference

Calculates the Madelung constant. More...

#include <complex.h>
#include <math.h>
#include <stdio.h>
#include "epsteinZeta.h"

Include dependency graph for lattice_sum.c:

Functions
int	main ()
	calculate madelung constant and compare to precomputed value.

Detailed Description

Calculates the Madelung constant.

Minimal working example for the Epstein Zeta Library. If the library is installed, compile with gcc -o lattice_sum lattice_sum.c -lm -lepsteinZeta If the library is not installed, compile with gcc -o lattice_sum lattice_sum.c -lm -L/path/to/library -lepsteinZeta -I/path/to/include

Author

Andreas Buchheit, Jonathan Busse and Ruben Gutendorf.

Date

06/06/2024

Function Documentation

main()

int main

(

void

)

calculate madelung constant and compare to precomputed value.

Madelung constant: sum_{i, j, k in Z} (-1)**(i + j + k) / sqrt(i**2 + j**2 + k**2)

Returns

true, if the difference to precomputed value is smaller than 10**(-14)