time_frequency_grids Module Reference

Definition and construction of time/frequency grids for correlation methods. More...

Data Types
type	time_frequency_grid_type

Functions/Subroutines
subroutine, public	time_frequency_grid_release (grid)
	Release all data owned by a time_frequency_grid_type object.
subroutine, public	build_clenshaw_grid (num_points, grid)
	Build a Clenshaw-Curtis frequency grid.
subroutine, public	build_minimax_time_frequency_grid (num_points, energy_min, energy_max, regularization, num_points_per_magnitude, grid, build_frequency, build_time, build_transforms, build_sine, time_scaling, time_weight_scaling, max_fit_error, print_warning, unit_nr, prefer_external_backend, used_external_backend)
	Build a minimax time/frequency grid through the common backend boundary.
subroutine, public	test_least_square_ft (nr, iw)
	test the singular value decomposition for the computation of integration weights for the Fourier transform between time and frequency grid in cubic-scaling RPA

Variables
integer, parameter	cosine_time_to_frequency = 1

Detailed Description

Definition and construction of time/frequency grids for correlation methods.

History

05.2019 Refactored from rpa_ri_gpw [Frederick Stein]

Function/Subroutine Documentation

time_frequency_grid_release()

subroutine, public time_frequency_grids::time_frequency_grid_release

(

type(time_frequency_grid_type), intent(inout)

grid

)

Release all data owned by a time_frequency_grid_type object.

Parameters

grid	The grid object to release.

Definition at line 52 of file time_frequency_grids.F.

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build_clenshaw_grid()

subroutine, public time_frequency_grids::build_clenshaw_grid	(	integer, intent(in)	num_points,
		type(time_frequency_grid_type), intent(out)	grid )

Build a Clenshaw-Curtis frequency grid.

Parameters

num_points	Number of integration points.
grid	Grid object to fill.

Definition at line 71 of file time_frequency_grids.F.

build_minimax_time_frequency_grid()

subroutine, public time_frequency_grids::build_minimax_time_frequency_grid	(	integer, intent(in)	num_points,
		real(kind=dp), intent(in)	energy_min,
		real(kind=dp), intent(in)	energy_max,
		real(kind=dp), intent(in)	regularization,
		integer, intent(in)	num_points_per_magnitude,
		type(time_frequency_grid_type), intent(out)	grid,
		logical, intent(in)	build_frequency,
		logical, intent(in)	build_time,
		logical, intent(in)	build_transforms,
		logical, intent(in)	build_sine,
		real(kind=dp), intent(in)	time_scaling,
		real(kind=dp), intent(in)	time_weight_scaling,
		real(kind=dp), intent(out)	max_fit_error,
		logical, intent(in)	print_warning,
		integer, intent(in)	unit_nr,
		logical, intent(in)	prefer_external_backend,
		logical, intent(out), optional	used_external_backend )

Build a minimax time/frequency grid through the common backend boundary.

Parameters

num_points	Number of minimax points.
energy_min	Lower end of the physical energy interval.
energy_max	Upper end of the physical energy interval.
regularization	Regularization used for the fitted transform weights.
num_points_per_magnitude	Number of fitting points per decade.
grid	Grid object to fill.
build_frequency	Whether to construct the frequency components.
build_time	Whether to construct the imaginary-time components.
build_transforms	Whether to construct the time/frequency transform weights.
build_sine	Whether to construct the sine time-to-frequency weights.
time_scaling	Scaling applied to the imaginary-time abscissas.
time_weight_scaling	Scaling applied to the imaginary-time weights.
max_fit_error	Maximum fitting error across all requested transforms.
print_warning	Whether the minimax coefficient routine prints warnings.
unit_nr	Output unit used by an external backend.
prefer_external_backend	Whether to try an available external backend first.
used_external_backend	Whether the external backend supplied the grid.

Definition at line 120 of file time_frequency_grids.F.

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test_least_square_ft()

subroutine, public time_frequency_grids::test_least_square_ft	(	integer, intent(in)	nr,
		integer, intent(in)	iw )

test the singular value decomposition for the computation of integration weights for the Fourier transform between time and frequency grid in cubic-scaling RPA

Parameters

nR	...
iw	...

Definition at line 404 of file time_frequency_grids.F.

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Variable Documentation

cosine_time_to_frequency

integer, parameter time_frequency_grids::cosine_time_to_frequency = 1

Definition at line 39 of file time_frequency_grids.F.