tblite_mesh_lebedev Module Reference

Generator for Lebedev-Laikov grids. Adapted from John Burkardt's portation of Dmitri Laikov's C implementation of. More...

Functions/Subroutines
pure subroutine, public	get_angular_grid (nang, grid, weights, stat)
	Wrapper for generation of angular Lebedev-Laikov grids.
pure integer function, public	list_bisection (list, val)
	Integer case for bisection search.

Variables
integer, dimension(32), parameter, public	grid_size = [ 6, 14, 26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 434, 590, 770, 974, 1202, 1454, 1730, 2030, 2354, 2702, 3074, 3470, 3890, 4334, 4802, 5294, 5810]
	Available Lebedev-Laikov grids.

Detailed Description

Generator for Lebedev-Laikov grids. Adapted from John Burkardt's portation of Dmitri Laikov's C implementation of.

V.I. Lebedev, and D.N. Laikov, "A quadrature formula for the sphere of the 131st algebraic order of accuracy", Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.

Function/Subroutine Documentation

get_angular_grid()

pure subroutine, public tblite_mesh_lebedev::get_angular_grid	(	integer, intent(in)	nang,
		real(wp), dimension(:, :), intent(out)	grid,
		real(wp), dimension(:), intent(out)	weights,
		integer, intent(out)	stat )

Wrapper for generation of angular Lebedev-Laikov grids.

Parameters

[in]	nang	Size of the grid
[out]	grid	Contains grid points on output
[out]	weights	Contains weights on output
[out]	stat	Status of generator

list_bisection()

pure integer function, public tblite_mesh_lebedev::list_bisection	(	integer, dimension(:), intent(in)	list,
		integer, intent(in)	val )

Integer case for bisection search.

Parameters

[in]	list	Array of values in monotonic order to search through
[in]	val	Value to locate pos for

Returns

Located element such that list(pos) <= val < list(pos+1)