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fft_common_3d.inc
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!=======================================================================
! This is part of the 2DECOMP&FFT library
!
! 2DECOMP&FFT is a software framework for general-purpose 2D (pencil)
! decomposition. It also implements a highly scalable distributed
! three-dimensional Fast Fourier Transform (FFT).
!
! Copyright (C) 2009-2011 Ning Li, the Numerical Algorithms Group (NAG)
!
!=======================================================================
! This file contains 3D c2c/r2c/c2r transform subroutines which are
! identical for several FFT engines
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! 3D FFT - complex to complex
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine fft_3d_c2c(in, out, isign)
implicit none
complex(mytype), dimension(:,:,:), intent(INOUT) :: in
complex(mytype), dimension(:,:,:), intent(OUT) :: out
integer, intent(IN) :: isign
#ifndef OVERWRITE
complex(mytype), allocatable, dimension(:,:,:) :: wk1
#endif
if (format==PHYSICAL_IN_X .AND. isign==DECOMP_2D_FFT_FORWARD .OR. &
format==PHYSICAL_IN_Z .AND. isign==DECOMP_2D_FFT_BACKWARD) then
! ===== 1D FFTs in X =====
#ifdef OVERWRITE
call c2c_1m_x(in,isign,ph)
#else
allocate (wk1(ph%xsz(1),ph%xsz(2),ph%xsz(3)))
wk1 = in
call c2c_1m_x(wk1,isign,ph)
#endif
! ===== Swap X --> Y; 1D FFTs in Y =====
if (dims(1)>1) then
#ifdef OVERWRITE
call transpose_x_to_y(in,wk2_c2c,ph)
#else
call transpose_x_to_y(wk1,wk2_c2c,ph)
#endif
call c2c_1m_y(wk2_c2c,isign,ph)
else
#ifdef OVERWRITE
call c2c_1m_y(in,isign,ph)
#else
call c2c_1m_y(wk1,isign,ph)
#endif
end if
! ===== Swap Y --> Z; 1D FFTs in Z =====
if (dims(1)>1) then
call transpose_y_to_z(wk2_c2c,out,ph)
else
#ifdef OVERWRITE
call transpose_y_to_z(in,out,ph)
#else
call transpose_y_to_z(wk1,out,ph)
#endif
end if
call c2c_1m_z(out,isign,ph)
else if (format==PHYSICAL_IN_X .AND. isign==DECOMP_2D_FFT_BACKWARD &
.OR. &
format==PHYSICAL_IN_Z .AND. isign==DECOMP_2D_FFT_FORWARD) then
! ===== 1D FFTs in Z =====
#ifdef OVERWRITE
call c2c_1m_z(in,isign,ph)
#else
allocate (wk1(ph%zsz(1),ph%zsz(2),ph%zsz(3)))
wk1 = in
call c2c_1m_z(wk1,isign,ph)
#endif
! ===== Swap Z --> Y; 1D FFTs in Y =====
if (dims(1)>1) then
#ifdef OVERWRITE
call transpose_z_to_y(in,wk2_c2c,ph)
#else
call transpose_z_to_y(wk1,wk2_c2c,ph)
#endif
call c2c_1m_y(wk2_c2c,isign,ph)
else ! out==wk2_c2c if 1D decomposition
#ifdef OVERWRITE
call transpose_z_to_y(in,out,ph)
#else
call transpose_z_to_y(wk1,out,ph)
#endif
call c2c_1m_y(out,isign,ph)
end if
! ===== Swap Y --> X; 1D FFTs in X =====
if (dims(1)>1) then
call transpose_y_to_x(wk2_c2c,out,ph)
end if
call c2c_1m_x(out,isign,ph)
end if
#ifndef OVERWRITE
! Free memory
if (allocated(wk1)) deallocate(wk1)
#endif
return
end subroutine fft_3d_c2c
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! 3D forward FFT - real to complex
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine fft_3d_r2c(in_r, out_c)
implicit none
real(mytype), dimension(:,:,:), intent(IN) :: in_r
complex(mytype), dimension(:,:,:), intent(OUT) :: out_c
if (format==PHYSICAL_IN_X) then
! ===== 1D FFTs in X =====
call r2c_1m_x(in_r,wk13)
! ===== Swap X --> Y; 1D FFTs in Y =====
if (dims(1)>1) then
call transpose_x_to_y(wk13,wk2_r2c,sp)
call c2c_1m_y(wk2_r2c,-1,sp)
else
call c2c_1m_y(wk13,-1,sp)
end if
! ===== Swap Y --> Z; 1D FFTs in Z =====
if (dims(1)>1) then
call transpose_y_to_z(wk2_r2c,out_c,sp)
else
call transpose_y_to_z(wk13,out_c,sp)
end if
call c2c_1m_z(out_c,-1,sp)
else if (format==PHYSICAL_IN_Z) then
! ===== 1D FFTs in Z =====
call r2c_1m_z(in_r,wk13)
! ===== Swap Z --> Y; 1D FFTs in Y =====
if (dims(1)>1) then
call transpose_z_to_y(wk13,wk2_r2c,sp)
call c2c_1m_y(wk2_r2c,-1,sp)
else ! out_c==wk2_r2c if 1D decomposition
call transpose_z_to_y(wk13,out_c,sp)
call c2c_1m_y(out_c,-1,sp)
end if
! ===== Swap Y --> X; 1D FFTs in X =====
if (dims(1)>1) then
call transpose_y_to_x(wk2_r2c,out_c,sp)
end if
call c2c_1m_x(out_c,-1,sp)
end if
return
end subroutine fft_3d_r2c
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! 3D inverse FFT - complex to real
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine fft_3d_c2r(in_c, out_r)
implicit none
complex(mytype), dimension(:,:,:), intent(INOUT) :: in_c
real(mytype), dimension(:,:,:), intent(OUT) :: out_r
#ifndef OVERWRITE
complex(mytype), allocatable, dimension(:,:,:) :: wk1
#endif
if (format==PHYSICAL_IN_X) then
! ===== 1D FFTs in Z =====
#ifdef OVERWRITE
call c2c_1m_z(in_c,1,sp)
#else
allocate(wk1(sp%zsz(1),sp%zsz(2),sp%zsz(3)))
wk1 = in_c
call c2c_1m_z(wk1,1,sp)
#endif
! ===== Swap Z --> Y; 1D FFTs in Y =====
#ifdef OVERWRITE
call transpose_z_to_y(in_c,wk2_r2c,sp)
#else
call transpose_z_to_y(wk1,wk2_r2c,sp)
#endif
call c2c_1m_y(wk2_r2c,1,sp)
! ===== Swap Y --> X; 1D FFTs in X =====
if (dims(1)>1) then
call transpose_y_to_x(wk2_r2c,wk13,sp)
call c2r_1m_x(wk13,out_r)
else
call c2r_1m_x(wk2_r2c,out_r)
end if
else if (format==PHYSICAL_IN_Z) then
! ===== 1D FFTs in X =====
#ifdef OVERWRITE
call c2c_1m_x(in_c,1,sp)
#else
allocate(wk1(sp%xsz(1),sp%xsz(2),sp%xsz(3)))
wk1 = in_c
call c2c_1m_x(wk1,1,sp)
#endif
! ===== Swap X --> Y; 1D FFTs in Y =====
if (dims(1)>1) then
#ifdef OVERWRITE
call transpose_x_to_y(in_c,wk2_r2c,sp)
#else
call transpose_x_to_y(wk1,wk2_r2c,sp)
#endif
call c2c_1m_y(wk2_r2c,1,sp)
else ! in_c==wk2_r2c if 1D decomposition
#ifdef OVERWRITE
call c2c_1m_y(in_c,1,sp)
#else
call c2c_1m_y(wk1,1,sp)
#endif
end if
! ===== Swap Y --> Z; 1D FFTs in Z =====
if (dims(1)>1) then
call transpose_y_to_z(wk2_r2c,wk13,sp)
else
#ifdef OVERWRITE
call transpose_y_to_z(in_c,wk13,sp)
#else
call transpose_y_to_z(wk1,wk13,sp)
#endif
end if
call c2r_1m_z(wk13,out_r)
end if
#ifndef OVERWRITE
! Free memory
if (allocated(wk1)) deallocate(wk1)
#endif
return
end subroutine fft_3d_c2r