sll_m_sparse_grid_interpolator.F90 File Reference

#include "sll_memory.h"
#include "sll_working_precision.h"
#include "sll_fftw.h"

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Data Types
type	fft_hierarchical
	class to hold values for hierarchical fft computations More...
type	sparsegrid_node
	Data type for sparse grid node. More...
type	interpolator_base_ptr
type	sll_t_sparse_grid_interpolator
	Class defining the sparse grid data structure. More...

Modules
module	sll_m_sparse_grid_interpolator
	Dimension-independent functions for sparse grid with polynomial basis functions.

Functions/Subroutines
subroutine	initialize_sg (interpolator, levels, order, interpolation, interpolation_type, eta_min, eta_max)
subroutine	compute_hierarchical_surplus (interpolator, data_array)
subroutine	compute_linear_hierarchical_surplus (interpolator, data_array)
subroutine	compute_dehierarchical (interpolator, data_array)
subroutine	basis_function (x, fx, type)
subroutine	basis_function_derivative (x, fx, type)
subroutine	displace_on_stripe_periodic_for_neighbor (interpolator, displacement, dim, max_level, max_level_neighbor)
subroutine	displace_on_stripe_periodic (interpolator, displacement, dim, max_level)
subroutine	interpolate_disp_1d_periodic (interpolator, displacement, dim, max_level, index, data_in, data_out, hiera)
recursive subroutine	interpolate_disp_recursive (interpolator, no_dims, dim, node_index, displacement, data_in, data_out, hiera)
subroutine	interpolate_disp (interpolator, dim, displacement, data_in, data_out, hiera)
subroutine	interpolate_disp_1d_periodic_for_neighbor (interpolator, displacement, factor, dim, max_level, max_level_neighbor, index, index_neighbor, data_in, data_out)
subroutine	interpolate_disp_1d_periodic_self (interpolator, displacement, dim, max_level, index, data_in, data_out)
subroutine	extract_periodic (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	extract_recursive (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	insert_periodic (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	insert_recursive (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	insert_periodic_additive (sparsegrid, factor, dim, max_level, index, data_in, data_out)
recursive subroutine	insert_additive_recursive (sparsegrid, factor, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	hierarchical (interpolator, data)
subroutine	hierarchical_order (interpolator, data, order)
subroutine	dehierarchical (interpolator, data)
subroutine	dehierarchical_order (interpolator, data, order)
recursive subroutine	dehierarchical_d_dimension (interpolator, surplus, data_array, level, factor, index, d)
recursive subroutine	dehierarchical_order_d_dimension (interpolator, surplus, data_array, start_level, level, k, factor, index, d)
subroutine	hierarchical_stripe (sparsegrid, data, max_level)
subroutine	dehierarchical_stripe (sparsegrid, data, max_level)
recursive subroutine	dehierarchical_stripe_order_recursive (index, stride, data_out)
recursive subroutine	dehierarchical_stripe_recursive (index, stride, upper, data_out)
recursive subroutine	dehierarchical_part_d_dimension (interpolator, surplus, data_array, level, factor, index, dmax, dmin, dim, dorder)
recursive subroutine	dehierarchical_part_order_d_dimension (interpolator, surplus, data_array, start_level, level, k, factor, index, dmax, dmin, d, dorder)
subroutine	dehierarchical_part (interpolator, data, dmax, dmin, dorder)
subroutine	dehierarchical_part_order (interpolator, data, dmax, dmin, dorder, order)
subroutine	hierarchical_part (interpolator, data, dmax, dmin, dorder)
subroutine	hierarchical_part_order (interpolator, data, dmax, dmin, dorder, order)
subroutine	integrate_trapezoidal (interpolator, data_in, val)
subroutine	integrate_trapezoidal2 (interpolator, dorder, data_in, val)
subroutine	extract_real_to_comp (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	extract_recursive_real_to_comp (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	extract_comp (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	extract_recursive_comp (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	extract_fourier (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	extract_recursive_fourier (sparsegrid, index_sg, ind, level, max_level, dim, data_in, data_out)
subroutine	insert_fourier (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	insert_recursive_fourier (sparsegrid, index_sg, ind, level, max_level, dim, data_in, data_out)
subroutine	insert_comp_to_real (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	insert_recursive_comp_to_real (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	insert_comp (sparsegrid, dim, max_level, index, data_in, data_out)
recursive subroutine	insert_recursive_comp (sparsegrid, index_stripe, stride, index_sg, dim, data_in, data_out)
subroutine	hira (data, max_level)
subroutine	dehi (data, max_level)
subroutine	fft_on_stripe (interpolator, level)
subroutine	ifft_on_stripe (interpolator, level)
subroutine	fft_initialize (fft_object, levels)
subroutine	fft_finalize (fft_object, levels)
subroutine	free_sparse_grid (interpolator)
	Finalize sparse grid. More...
subroutine	tohierarchical1d (interpolator, dim, max_level, index, data_in, data_out)
	Compute Fourier coefficients on sparse grid along dimension dim. More...
subroutine	tohierarchical1d_comp (interpolator, dim, max_level, index, data)
	Complex version of ToHierarchical1d_comp. More...
subroutine	tohira1d (interpolator, dim, max_level, index, data)
subroutine	tonodal1d (interpolator, dim, max_level, index, data_in, data_out)
subroutine	tonodal1d_comp (interpolator, dim, max_level, index, data)
subroutine	todehi1d (interpolator, dim, max_level, index, data_array)
subroutine	fft_to_centered (length, data_in, data_out)
subroutine	fft_to_inorder (length, data_in, data_out)
subroutine	displace_fourier_coeffs (d_scale, size, data)
subroutine	displace1d (interpolator, dim, max_level, index, displacement, data)