the type I Discrete Cosine Transform (DCT-I) More...

Data Types
type	dct_type

Functions/Subroutines
subroutine, public	dct_type_init (pw_grid, neumann_directions, dct_env)
	Initializes a dct_type.

subroutine, public	dct_type_release (dct_env)
	Releases a dct_type.

subroutine, public	setup_dct_pw_grids (pw_grid, cell_hmat, neumann_directions, dct_pw_grid)
	sets up an extended pw_grid for Discrete Cosine Transform (DCT) calculations

subroutine, public	pw_expand (neumann_directions, recv_msgs_bnds, dests_expand, srcs_expand, flipg_stat, bounds_shftd, pw_in, pw_expanded)
	expands a pw_r3d_rs_type data to an evenly symmetric pw_r3d_rs_type data that is 8 times larger than the original one: the even symmetry for a 1D sequence of length n is defined as: 1 2 3 ... n-2 n-1 n --> 1 2 3 ... n-2 n-1 n n-1 n-2 ... 3 2 and is generalized to 3D by applying the same rule in all three directions

subroutine, public	pw_shrink (neumann_directions, dests_shrink, srcs_shrink, bounds_local_shftd, pw_in, pw_shrinked)
	shrinks an evenly symmetric pw_r3d_rs_type data to a pw_r3d_rs_type data that is 8 times smaller (the reverse procedure of pw_expand).

Variables
integer, parameter, public	neumannxyz = 111

integer, parameter, public	neumannxy = 110

integer, parameter, public	neumannxz = 101

integer, parameter, public	neumannyz = 011

integer, parameter, public	neumannx = 100

integer, parameter, public	neumanny = 010

integer, parameter, public	neumannz = 001

Detailed Description

the type I Discrete Cosine Transform (DCT-I)

History: 07.2014 created [Hossein Bani-Hashemian] 11.2015 dealt with periodic grids [Hossein Bani-Hashemian] 03.2016 dct in one or two directions [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Function/Subroutine Documentation

◆ dct_type_init()

subroutine, public dct::dct_type_init	(	type(pw_grid_type), intent(in), pointer	pw_grid,
		integer, intent(in)	neumann_directions,
		type(dct_type), intent(inout)	dct_env
	)

Initializes a dct_type.

Parameters

pw_grid	the original plane wave grid
neumann_directions	directions in which dct should be performed
dct_env	dct_type to be initialized

History: 08.2014 created [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Definition at line 82 of file dct.F.

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◆ dct_type_release()

subroutine, public dct::dct_type_release ( type(dct_type), intent(inout) dct_env )

Releases a dct_type.

Parameters

dct_env dct_type to be released

History: 03.2016 created [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Definition at line 130 of file dct.F.

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◆ setup_dct_pw_grids()

subroutine, public dct::setup_dct_pw_grids	(	type(pw_grid_type), intent(in), pointer	pw_grid,
		real(dp), dimension(3, 3), intent(in)	cell_hmat,
		integer, intent(in)	neumann_directions,
		type(pw_grid_type), intent(inout), pointer	dct_pw_grid
	)

sets up an extended pw_grid for Discrete Cosine Transform (DCT) calculations

Parameters

pw_grid	the original plane wave grid
cell_hmat	cell hmat
neumann_directions	directions in which dct should be performed
dct_pw_grid	DCT plane-wave grid

History: 07.2014 created [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Definition at line 161 of file dct.F.

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◆ pw_expand()

subroutine, public dct::pw_expand	(	integer, intent(in)	neumann_directions,
		integer, dimension(:, :, :), intent(in), pointer	recv_msgs_bnds,
		integer, dimension(:), intent(in), pointer	dests_expand,
		integer, dimension(:), intent(in), pointer	srcs_expand,
		integer, dimension(:), intent(in), pointer	flipg_stat,
		integer, dimension(2, 3), intent(in)	bounds_shftd,
		type(pw_r3d_rs_type), intent(in)	pw_in,
		type(pw_r3d_rs_type), intent(inout)	pw_expanded
	)

expands a pw_r3d_rs_type data to an evenly symmetric pw_r3d_rs_type data that is 8 times larger than the original one: the even symmetry for a 1D sequence of length n is defined as: 1 2 3 ... n-2 n-1 n --> 1 2 3 ... n-2 n-1 n n-1 n-2 ... 3 2 and is generalized to 3D by applying the same rule in all three directions

Parameters

neumann_directions	directions in which dct should be performed
recv_msgs_bnds	bounds of the messages to be received
dests_expand	list of the destination processes
srcs_expand	list of the source processes
flipg_stat	flipping status for the received data chunks
bounds_shftd	bounds of the original grid shifted to have g0 in the middle of the cell
pw_in	the original plane wave data
pw_expanded	the pw data after expansion

History: 07.2014 created [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Definition at line 514 of file dct.F.

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◆ pw_shrink()

subroutine, public dct::pw_shrink	(	integer, intent(in)	neumann_directions,
		integer, dimension(:), intent(in), pointer	dests_shrink,
		integer, intent(inout)	srcs_shrink,
		integer, dimension(2, 3), intent(in)	bounds_local_shftd,
		type(pw_r3d_rs_type), intent(in)	pw_in,
		type(pw_r3d_rs_type), intent(inout)	pw_shrinked
	)

shrinks an evenly symmetric pw_r3d_rs_type data to a pw_r3d_rs_type data that is 8 times smaller (the reverse procedure of pw_expand).

Parameters

neumann_directions	directions in which dct should be performed
dests_shrink	list of the destination processes
srcs_shrink	list of the source processes
bounds_local_shftd	local bounds of the original grid after shifting
pw_in	the original plane wave data
pw_shrinked	the shrunk plane wave data

History: 07.2014 created [Hossein Bani-Hashemian]

Author: Mohammad Hossein Bani-Hashemian

Definition at line 698 of file dct.F.

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