Sparse grid object for 4d with interpolation routines. Note in 4d we have only an implementation of a standard sparse grid with periodic boundary conditions, i.e. modified=0, boundary=0 compared to 2d and 3d). More...

Inheritance diagram for sll_t_sparse_grid_4d:

Collaboration diagram for sll_t_sparse_grid_4d:

Private Member Functions
procedure	init => initialize_sg4d

procedure	interpolate_from_interpolant_value

procedure	interpolate_disp_nconst_in_1d

procedure	interpolate_disp_linnconst_in_1d => interpolate4d_disp_linnconst_in_1d

procedure	interpolate_disp_nconst_in_2d

procedure	interpolate_const_disp

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), dimension(:, :, :, :), pointer	index
	4d mapping: for each 4d index l on the sparse grid, index gives the index of the first node belonging to this level More...

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

Sparse grid object for 4d with interpolation routines. Note in 4d we have only an implementation of a standard sparse grid with periodic boundary conditions, i.e. modified=0, boundary=0 compared to 2d and 3d).

Definition at line 26 of file sll_m_sparse_grid_4d.F90.

Member Function/Subroutine Documentation

◆ basis_function()

procedure, nopass basis_function

privateinherited

Definition at line 114 of file sll_m_sparse_grid_interpolator.F90.

◆ basis_function_derivative()

procedure, nopass basis_function_derivative

privateinherited

Definition at line 115 of file sll_m_sparse_grid_interpolator.F90.

◆ compute_dehierarchical()

procedure compute_dehierarchical

privateinherited

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

privateinherited

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

privateinherited

Compute the linear hierarchical surplus.

Definition at line 101 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical()

procedure dehierarchical

privateinherited

Definition at line 103 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_order()

procedure dehierarchical_order

privateinherited

Definition at line 128 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_part()

procedure dehierarchical_part

privateinherited

Definition at line 104 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_part_order()

procedure dehierarchical_part_order

privateinherited

Definition at line 116 of file sll_m_sparse_grid_interpolator.F90.

◆ dehierarchical_stripe()

procedure dehierarchical_stripe

privateinherited

Definition at line 111 of file sll_m_sparse_grid_interpolator.F90.

◆ displace1d()

procedure displace1d

privateinherited

Definition at line 119 of file sll_m_sparse_grid_interpolator.F90.

◆ extract_periodic()

procedure extract_periodic

privateinherited

Definition at line 109 of file sll_m_sparse_grid_interpolator.F90.

◆ free()

procedure free

privateinherited

Definition at line 129 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_part()

procedure hierarchical_part

privateinherited

Definition at line 105 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_part_order()

procedure hierarchical_part_order

privateinherited

Definition at line 127 of file sll_m_sparse_grid_interpolator.F90.

◆ hierarchical_stripe()

procedure hierarchical_stripe

privateinherited

Definition at line 110 of file sll_m_sparse_grid_interpolator.F90.

◆ init()

procedure init

private

Definition at line 30 of file sll_m_sparse_grid_4d.F90.

◆ initialize_sg()

procedure initialize_sg

privateinherited

Definition at line 126 of file sll_m_sparse_grid_interpolator.F90.

◆ insert_periodic()

procedure insert_periodic

privateinherited

Definition at line 112 of file sll_m_sparse_grid_interpolator.F90.

◆ integrate_trapezoidal()

procedure integrate_trapezoidal

privateinherited

Definition at line 107 of file sll_m_sparse_grid_interpolator.F90.

◆ integrate_trapezoidal2()

procedure integrate_trapezoidal2

privateinherited

Definition at line 108 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_const_disp()

procedure interpolate_const_disp

private

Definition at line 35 of file sll_m_sparse_grid_4d.F90.

◆ interpolate_disp()

procedure interpolate_disp

privateinherited

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

privateinherited

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

privateinherited

Definition at line 117 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp_1d_periodic_self()

procedure interpolate_disp_1d_periodic_self

privateinherited

Definition at line 113 of file sll_m_sparse_grid_interpolator.F90.

◆ interpolate_disp_linnconst_in_1d()

procedure interpolate_disp_linnconst_in_1d

private

Definition at line 33 of file sll_m_sparse_grid_4d.F90.

◆ interpolate_disp_nconst_in_1d()

procedure interpolate_disp_nconst_in_1d

private

Definition at line 32 of file sll_m_sparse_grid_4d.F90.

◆ interpolate_disp_nconst_in_2d()

procedure interpolate_disp_nconst_in_2d

private

Definition at line 34 of file sll_m_sparse_grid_4d.F90.

◆ interpolate_from_interpolant_value()

procedure interpolate_from_interpolant_value

private

Definition at line 31 of file sll_m_sparse_grid_4d.F90.

◆ todehi1d()

procedure todehi1d

privateinherited

Definition at line 122 of file sll_m_sparse_grid_interpolator.F90.

◆ tohierarchical1d()

procedure tohierarchical1d

privateinherited

Definition at line 124 of file sll_m_sparse_grid_interpolator.F90.

◆ tohierarchical1d_comp()

procedure tohierarchical1d_comp

privateinherited

Definition at line 125 of file sll_m_sparse_grid_interpolator.F90.

◆ tohira1d()

procedure tohira1d

privateinherited

Definition at line 123 of file sll_m_sparse_grid_interpolator.F90.

◆ tonodal1d()

procedure tonodal1d

privateinherited

Definition at line 120 of file sll_m_sparse_grid_interpolator.F90.

◆ tonodal1d_comp()

procedure tonodal1d_comp

privateinherited

Definition at line 121 of file sll_m_sparse_grid_interpolator.F90.

Member Data Documentation

◆ boundary

integer(kind=i32) boundary

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

hs_weights_index is the index vector for hs_weights

Definition at line 89 of file sll_m_sparse_grid_interpolator.F90.

◆ index

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

private

4d mapping: for each 4d index l on the sparse grid, index gives the index of the first node belonging to this level

Definition at line 27 of file sll_m_sparse_grid_4d.F90.

◆ interp

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

privateinherited

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

privateinherited

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

privateinherited

specifies type of interpolation

Definition at line 76 of file sll_m_sparse_grid_interpolator.F90.

◆ length

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

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

privateinherited

Definition at line 87 of file sll_m_sparse_grid_interpolator.F90.

◆ stripe_out

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

privateinherited

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

privateinherited

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()

◆ init()

◆ initialize_sg()

◆ insert_periodic()

◆ integrate_trapezoidal()

◆ integrate_trapezoidal2()

◆ interpolate_const_disp()

◆ interpolate_disp()

◆ interpolate_disp_1d_periodic()

◆ interpolate_disp_1d_periodic_for_neighbor()

◆ interpolate_disp_1d_periodic_self()

◆ interpolate_disp_linnconst_in_1d()

◆ interpolate_disp_nconst_in_1d()

◆ interpolate_disp_nconst_in_2d()

◆ interpolate_from_interpolant_value()

◆ 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

◆ index

◆ interp

◆ interp_per

◆ interpolation

◆ length

◆ level_mapping

◆ levels

◆ max_level

◆ modified

◆ no_basis_functions

◆ order

◆ size_basis

◆ stripe

◆ stripe_out

◆ volume