Class defining the sparse grid data structure. More...

Inheritance diagram for sll_t_sparse_grid_interpolator:

Collaboration diagram for sll_t_sparse_grid_interpolator:

Private Member Functions
procedure	compute_hierarchical_surplus
	Compute the hierarchical surplus (to the order of the sparse grid) More...

procedure	compute_linear_hierarchical_surplus
	Compute the linear hierarchical surplus. More...

procedure	compute_dehierarchical
	Compute values from (order) hierarchical surplus. More...

procedure	dehierarchical

procedure	dehierarchical_part

procedure	hierarchical_part

procedure	interpolate_disp
	Interpolation function for interpolation at (constantly) displaced grid points; displacement only in dimension dim. More...

procedure	integrate_trapezoidal

procedure	integrate_trapezoidal2

procedure	extract_periodic

procedure	hierarchical_stripe

procedure	dehierarchical_stripe

procedure	insert_periodic

procedure	interpolate_disp_1d_periodic_self

procedure, nopass	basis_function

procedure, nopass	basis_function_derivative

procedure	dehierarchical_part_order

procedure	interpolate_disp_1d_periodic_for_neighbor

procedure	interpolate_disp_1d_periodic

procedure	displace1d

procedure	tonodal1d

procedure	tonodal1d_comp

procedure	todehi1d

procedure	tohira1d

procedure	tohierarchical1d

procedure	tohierarchical1d_comp

procedure	initialize_sg

procedure	hierarchical_part_order

procedure	dehierarchical_order

procedure	free => free_sparse_grid

Private Attributes
integer(kind=i32)	dim
	dim defines the dimension of the sparse grid More...

real(kind=f64), dimension(:), pointer	eta_min
	eta_min defines the lower bound of the computational domain More...

real(kind=f64), dimension(:), pointer	eta_max
	eta_max defines the upper bound of the computational domain More...

real(kind=f64), dimension(:), pointer	length
	length defines the length of the computational domain More...

real(kind=f64)	volume
	volumne defines the volume of the computational domain More...

integer(kind=i32)	max_level
	max_level is the upper bound of the l_infinity norm of the level vector More...

integer(kind=i32), dimension(:), pointer	levels
	levels is the upper bound on the level in each direction More...

integer(kind=i32)	order
	order it the (maximal) order of basis functions More...

integer(kind=i32)	interpolation
	specifies type of interpolation More...

integer(kind=i32)	no_basis_functions
	no_basis_functions is the number of different basis functions More...

integer(kind=i32)	size_basis
	size_basis is the number of grid points More...

integer(kind=i32)	modified
	modified specifies the number of boundary points in sparse grid (0 for usual sparse grid, 1 for as many boundary as middle points) More...

integer(kind=i32)	boundary
	boundary specifies if the boundary is periodic (0) or usual sparse grid (1) More...

class(sparsegrid_node), dimension(:), pointer	hierarchy
	hierarchy is an array containing the nodes More...

class(fft_hierarchical), dimension(:), pointer	fft_object
	fft_object is the object for hierarchical fft More...

real(kind=f64), dimension(:), pointer	stripe

real(kind=f64), dimension(:), pointer	stripe_out
	stripe and stripe are internal arrays to handle the 1d interpolations More...

real(kind=f64), dimension(:), pointer	hs_weights
	hs_weights contains the weights for the computation of the hierarchical surplus More...

integer(kind=i32), dimension(:), pointer	hs_weights_index
	hs_weights_index is the index vector for hs_weights More...

type(sll_t_periodic_interpolator_1d), dimension(:, :), pointer	interp_per
	interp_per is the periodic interpolator object along the stripes More...

type(interpolator_base_ptr), dimension(:, :), pointer	interp
	interp is the interpolator object for the 1d interpolations along the stripes More...

integer(kind=i32), dimension(:), pointer	level_mapping
	level_mapping is an index pointing the the start of each level More...

Detailed Description

Class defining the sparse grid data structure.

Definition at line 67 of file sll_m_sparse_grid_interpolator.F90.

Member Function/Subroutine Documentation

◆ basis_function()

procedure, nopass basis_function

private

Definition at line 114 of file sll_m_sparse_grid_interpolator.F90.

◆ basis_function_derivative()

procedure, nopass basis_function_derivative

private

Definition at line 115 of file sll_m_sparse_grid_interpolator.F90.

◆ compute_dehierarchical()

procedure compute_dehierarchical

private

Compute values from (order) hierarchical surplus.

Definition at line 102 of file sll_m_sparse_grid_interpolator.F90.

◆ compute_hierarchical_surplus()

procedure compute_hierarchical_surplus

private

Compute the hierarchical surplus (to the order of the sparse grid)

Definition at line 100 of file sll_m_sparse_grid_interpolator.F90.

◆ compute_linear_hierarchical_surplus()

procedure compute_linear_hierarchical_surplus

private

Compute the linear hierarchical surplus.

Definition at line 101 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical()

procedure dehierarchical

private

Definition at line 103 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_order()

procedure dehierarchical_order

private

Definition at line 128 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_part()

procedure dehierarchical_part

private

Definition at line 104 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_part_order()

procedure dehierarchical_part_order

private

Definition at line 116 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_stripe()

procedure dehierarchical_stripe

private

Definition at line 111 of file sll_m_sparse_grid_interpolator.F90.

◆ displace1d()

procedure displace1d

private

Definition at line 119 of file sll_m_sparse_grid_interpolator.F90.

◆ extract_periodic()

procedure extract_periodic

private

Definition at line 109 of file sll_m_sparse_grid_interpolator.F90.

◆ free()

procedure free

private

Definition at line 129 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_part()

procedure hierarchical_part

private

Definition at line 105 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_part_order()

procedure hierarchical_part_order

private

Definition at line 127 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_stripe()

procedure hierarchical_stripe

private

Definition at line 110 of file sll_m_sparse_grid_interpolator.F90.

◆ initialize_sg()

procedure initialize_sg

private

Definition at line 126 of file sll_m_sparse_grid_interpolator.F90.

◆ insert_periodic()

procedure insert_periodic

private

Definition at line 112 of file sll_m_sparse_grid_interpolator.F90.

◆ integrate_trapezoidal()

procedure integrate_trapezoidal

private

Definition at line 107 of file sll_m_sparse_grid_interpolator.F90.

◆ integrate_trapezoidal2()

procedure integrate_trapezoidal2

private

Definition at line 108 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp()

procedure interpolate_disp

private

Interpolation function for interpolation at (constantly) displaced grid points; displacement only in dimension dim.

Definition at line 106 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp_1d_periodic()

procedure interpolate_disp_1d_periodic

private

Definition at line 118 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp_1d_periodic_for_neighbor()

procedure interpolate_disp_1d_periodic_for_neighbor

private

Definition at line 117 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp_1d_periodic_self()

procedure interpolate_disp_1d_periodic_self

private

Definition at line 113 of file sll_m_sparse_grid_interpolator.F90.

◆ todehi1d()

procedure todehi1d

private

Definition at line 122 of file sll_m_sparse_grid_interpolator.F90.

◆ tohierarchical1d()

procedure tohierarchical1d

private

Definition at line 124 of file sll_m_sparse_grid_interpolator.F90.

◆ tohierarchical1d_comp()

procedure tohierarchical1d_comp

private

Definition at line 125 of file sll_m_sparse_grid_interpolator.F90.

◆ tohira1d()

procedure tohira1d

private

Definition at line 123 of file sll_m_sparse_grid_interpolator.F90.

◆ tonodal1d()

procedure tonodal1d

private

Definition at line 120 of file sll_m_sparse_grid_interpolator.F90.

◆ tonodal1d_comp()

procedure tonodal1d_comp

private

Definition at line 121 of file sll_m_sparse_grid_interpolator.F90.

Member Data Documentation

◆ boundary

integer(kind=i32) boundary

private

boundary specifies if the boundary is periodic (0) or usual sparse grid (1)

Definition at line 80 of file sll_m_sparse_grid_interpolator.F90.

◆ dim

integer(kind=i32) dim

private

dim defines the dimension of the sparse grid

Definition at line 68 of file sll_m_sparse_grid_interpolator.F90.

◆ eta_max

real(kind=f64), dimension(:), pointer eta_max

private

eta_max defines the upper bound of the computational domain

Definition at line 70 of file sll_m_sparse_grid_interpolator.F90.

◆ eta_min

real(kind=f64), dimension(:), pointer eta_min

private

eta_min defines the lower bound of the computational domain

Definition at line 69 of file sll_m_sparse_grid_interpolator.F90.

◆ fft_object

class(fft_hierarchical), dimension(:), pointer fft_object

private

fft_object is the object for hierarchical fft

Definition at line 84 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchy

class(sparsegrid_node), dimension(:), pointer hierarchy

private

hierarchy is an array containing the nodes

Definition at line 82 of file sll_m_sparse_grid_interpolator.F90.

◆ hs_weights

real(kind=f64), dimension(:), pointer hs_weights

private

hs_weights contains the weights for the computation of the hierarchical surplus

Definition at line 88 of file sll_m_sparse_grid_interpolator.F90.

◆ hs_weights_index

integer(kind=i32), dimension(:), pointer hs_weights_index

private

hs_weights_index is the index vector for hs_weights

Definition at line 89 of file sll_m_sparse_grid_interpolator.F90.

◆ interp

type(interpolator_base_ptr), dimension(:, :), pointer interp

private

interp is the interpolator object for the 1d interpolations along the stripes

Definition at line 95 of file sll_m_sparse_grid_interpolator.F90.

◆ interp_per

type(sll_t_periodic_interpolator_1d), dimension(:, :), pointer interp_per

private

interp_per is the periodic interpolator object along the stripes

Definition at line 90 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolation

integer(kind=i32) interpolation

private

specifies type of interpolation

Definition at line 76 of file sll_m_sparse_grid_interpolator.F90.

◆ length

real(kind=f64), dimension(:), pointer length

private

length defines the length of the computational domain

Definition at line 71 of file sll_m_sparse_grid_interpolator.F90.

◆ level_mapping

integer(kind=i32), dimension(:), pointer level_mapping

private

level_mapping is an index pointing the the start of each level

Definition at line 97 of file sll_m_sparse_grid_interpolator.F90.

◆ levels

integer(kind=i32), dimension(:), pointer levels

private

levels is the upper bound on the level in each direction

Definition at line 74 of file sll_m_sparse_grid_interpolator.F90.

◆ max_level

integer(kind=i32) max_level

private

max_level is the upper bound of the l_infinity norm of the level vector

Definition at line 73 of file sll_m_sparse_grid_interpolator.F90.

◆ modified

integer(kind=i32) modified

private

modified specifies the number of boundary points in sparse grid (0 for usual sparse grid, 1 for as many boundary as middle points)

Definition at line 79 of file sll_m_sparse_grid_interpolator.F90.

◆ no_basis_functions

integer(kind=i32) no_basis_functions

private

no_basis_functions is the number of different basis functions

Definition at line 77 of file sll_m_sparse_grid_interpolator.F90.

◆ order

integer(kind=i32) order

private

order it the (maximal) order of basis functions

Definition at line 75 of file sll_m_sparse_grid_interpolator.F90.

◆ size_basis

integer(kind=i32) size_basis

private

size_basis is the number of grid points

Definition at line 78 of file sll_m_sparse_grid_interpolator.F90.

◆ stripe

real(kind=f64), dimension(:), pointer stripe

private

Definition at line 87 of file sll_m_sparse_grid_interpolator.F90.

◆ stripe_out

real(kind=f64), dimension(:), pointer stripe_out

private

stripe and stripe are internal arrays to handle the 1d interpolations

Definition at line 87 of file sll_m_sparse_grid_interpolator.F90.

◆ volume

real(kind=f64) volume

private

volumne defines the volume of the computational domain

Definition at line 72 of file sll_m_sparse_grid_interpolator.F90.

Private Member Functions

Private Attributes

Detailed Description

Member Function/Subroutine Documentation

◆ basis_function()

◆ basis_function_derivative()

◆ compute_dehierarchical()

◆ compute_hierarchical_surplus()

◆ compute_linear_hierarchical_surplus()

◆ dehierarchical()

◆ dehierarchical_order()

◆ dehierarchical_part()

◆ dehierarchical_part_order()

◆ dehierarchical_stripe()

◆ displace1d()

◆ extract_periodic()

◆ free()

◆ hierarchical_part()

◆ hierarchical_part_order()

◆ hierarchical_stripe()

◆ initialize_sg()

◆ insert_periodic()

◆ integrate_trapezoidal()

◆ integrate_trapezoidal2()

◆ interpolate_disp()

◆ interpolate_disp_1d_periodic()

◆ interpolate_disp_1d_periodic_for_neighbor()

◆ interpolate_disp_1d_periodic_self()

◆ todehi1d()

◆ tohierarchical1d()

◆ tohierarchical1d_comp()

◆ tohira1d()

◆ tonodal1d()

◆ tonodal1d_comp()

Member Data Documentation

◆ boundary

◆ dim

◆ eta_max

◆ eta_min

◆ fft_object

◆ hierarchy

◆ hs_weights

◆ hs_weights_index

◆ interp

◆ interp_per

◆ interpolation

◆ length

◆ level_mapping

◆ levels

◆ max_level

◆ modified

◆ no_basis_functions

◆ order

◆ size_basis

◆ stripe

◆ stripe_out

◆ volume