subroutine cmf5kb ( lot, ido, l1, na, cc, im1, in1, ch, im2, in2, wa )
!*****************************************************************************80
!
!! CMF5KB is an FFTPACK5 auxiliary routine.
!
! License:
!
! Licensed under the GNU General Public License (GPL).
! Copyright (C) 1995-2004, Scientific Computing Division,
! University Corporation for Atmospheric Research
!
! Modified:
!
! 27 March 2009
!
! Author:
!
! Paul Swarztrauber
! Richard Valent
!
! Reference:
!
! Paul Swarztrauber,
! Vectorizing the Fast Fourier Transforms,
! in Parallel Computations,
! edited by G. Rodrigue,
! Academic Press, 1982.
!
! Paul Swarztrauber,
! Fast Fourier Transform Algorithms for Vector Computers,
! Parallel Computing, pages 45-63, 1984.
!
! Parameters:
!
implicit none
integer ( kind = 4 ) ido
integer ( kind = 4 ) in1
integer ( kind = 4 ) in2
integer ( kind = 4 ) l1
real ( kind = 4 ) cc(2,in1,l1,ido,5)
real ( kind = 4 ) ch(2,in2,l1,5,ido)
real ( kind = 4 ) chold1
real ( kind = 4 ) chold2
real ( kind = 4 ) ci2
real ( kind = 4 ) ci3
real ( kind = 4 ) ci4
real ( kind = 4 ) ci5
real ( kind = 4 ) cr2
real ( kind = 4 ) cr3
real ( kind = 4 ) cr4
real ( kind = 4 ) cr5
real ( kind = 4 ) di2
real ( kind = 4 ) di3
real ( kind = 4 ) di4
real ( kind = 4 ) di5
real ( kind = 4 ) dr2
real ( kind = 4 ) dr3
real ( kind = 4 ) dr4
real ( kind = 4 ) dr5
integer ( kind = 4 ) i
integer ( kind = 4 ) im1
integer ( kind = 4 ) im2
integer ( kind = 4 ) k
integer ( kind = 4 ) lot
integer ( kind = 4 ) m1
integer ( kind = 4 ) m1d
integer ( kind = 4 ) m2
integer ( kind = 4 ) m2s
integer ( kind = 4 ) na
real ( kind = 4 ) ti2
real ( kind = 4 ) ti3
real ( kind = 4 ) ti4
real ( kind = 4 ) ti5
real ( kind = 4 ), parameter :: ti11 = 0.9510565162951536E+00
real ( kind = 4 ), parameter :: ti12 = 0.5877852522924731E+00
real ( kind = 4 ) tr2
real ( kind = 4 ) tr3
real ( kind = 4 ) tr4
real ( kind = 4 ) tr5
real ( kind = 4 ), parameter :: tr11 = 0.3090169943749474E+00
real ( kind = 4 ), parameter :: tr12 = -0.8090169943749474E+00
real ( kind = 4 ) wa(ido,4,2)
m1d = ( lot - 1 ) * im1 + 1
m2s = 1 - im2
if ( 1 < ido .or. na == 1 ) then
do k = 1, l1
m2 = m2s
do m1 = 1, m1d, im1
m2 = m2 + im2
ti5 = cc(2,m1,k,1,2)-cc(2,m1,k,1,5)
ti2 = cc(2,m1,k,1,2)+cc(2,m1,k,1,5)
ti4 = cc(2,m1,k,1,3)-cc(2,m1,k,1,4)
ti3 = cc(2,m1,k,1,3)+cc(2,m1,k,1,4)
tr5 = cc(1,m1,k,1,2)-cc(1,m1,k,1,5)
tr2 = cc(1,m1,k,1,2)+cc(1,m1,k,1,5)
tr4 = cc(1,m1,k,1,3)-cc(1,m1,k,1,4)
tr3 = cc(1,m1,k,1,3)+cc(1,m1,k,1,4)
ch(1,m2,k,1,1) = cc(1,m1,k,1,1)+tr2+tr3
ch(2,m2,k,1,1) = cc(2,m1,k,1,1)+ti2+ti3
cr2 = cc(1,m1,k,1,1)+tr11*tr2+tr12*tr3
ci2 = cc(2,m1,k,1,1)+tr11*ti2+tr12*ti3
cr3 = cc(1,m1,k,1,1)+tr12*tr2+tr11*tr3
ci3 = cc(2,m1,k,1,1)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
ch(1,m2,k,2,1) = cr2-ci5
ch(1,m2,k,5,1) = cr2+ci5
ch(2,m2,k,2,1) = ci2+cr5
ch(2,m2,k,3,1) = ci3+cr4
ch(1,m2,k,3,1) = cr3-ci4
ch(1,m2,k,4,1) = cr3+ci4
ch(2,m2,k,4,1) = ci3-cr4
ch(2,m2,k,5,1) = ci2-cr5
end do
end do
do i = 2, ido
do k = 1, l1
m2 = m2s
do m1 = 1, m1d, im1
m2 = m2 + im2
ti5 = cc(2,m1,k,i,2)-cc(2,m1,k,i,5)
ti2 = cc(2,m1,k,i,2)+cc(2,m1,k,i,5)
ti4 = cc(2,m1,k,i,3)-cc(2,m1,k,i,4)
ti3 = cc(2,m1,k,i,3)+cc(2,m1,k,i,4)
tr5 = cc(1,m1,k,i,2)-cc(1,m1,k,i,5)
tr2 = cc(1,m1,k,i,2)+cc(1,m1,k,i,5)
tr4 = cc(1,m1,k,i,3)-cc(1,m1,k,i,4)
tr3 = cc(1,m1,k,i,3)+cc(1,m1,k,i,4)
ch(1,m2,k,1,i) = cc(1,m1,k,i,1)+tr2+tr3
ch(2,m2,k,1,i) = cc(2,m1,k,i,1)+ti2+ti3
cr2 = cc(1,m1,k,i,1)+tr11*tr2+tr12*tr3
ci2 = cc(2,m1,k,i,1)+tr11*ti2+tr12*ti3
cr3 = cc(1,m1,k,i,1)+tr12*tr2+tr11*tr3
ci3 = cc(2,m1,k,i,1)+tr12*ti2+tr11*ti3
cr5 = ti11*tr5+ti12*tr4
ci5 = ti11*ti5+ti12*ti4
cr4 = ti12*tr5-ti11*tr4
ci4 = ti12*ti5-ti11*ti4
dr3 = cr3-ci4
dr4 = cr3+ci4
di3 = ci3+cr4
di4 = ci3-cr4
dr5 = cr2+ci5
dr2 = cr2-ci5
di5 = ci2-cr5
di2 = ci2+cr5
ch(1,m2,k,2,i) = wa(i,1,1) * dr2 - wa(i,1,2) * di2
ch(2,m2,k,2,i) = wa(i,1,1) * di2 + wa(i,1,2) * dr2
ch(1,m2,k,3,i) = wa(i,2,1) * dr3 - wa(i,2,2) * di3
ch(2,m2,k,3,i) = wa(i,2,1) * di3 + wa(i,2,2) * dr3
ch(1,m2,k,4,i) = wa(i,3,1) * dr4 - wa(i,3,2) * di4
ch(2,m2,k,4,i) = wa(i,3,1) * di4 + wa(i,3,2) * dr4
ch(1,m2,k,5,i) = wa(i,4,1) * dr5 - wa(i,4,2) * di5
ch(2,m2,k,5,i) = wa(i,4,1) * di5 + wa(i,4,2) * dr5
end do
end do
end do
else
do k = 1, l1
do m1 = 1, m1d, im1
ti5 = cc(2,m1,k,1,2)-cc(2,m1,k,1,5)
ti2 = cc(2,m1,k,1,2)+cc(2,m1,k,1,5)
ti4 = cc(2,m1,k,1,3)-cc(2,m1,k,1,4)
ti3 = cc(2,m1,k,1,3)+cc(2,m1,k,1,4)
tr5 = cc(1,m1,k,1,2)-cc(1,m1,k,1,5)
tr2 = cc(1,m1,k,1,2)+cc(1,m1,k,1,5)
tr4 = cc(1,m1,k,1,3)-cc(1,m1,k,1,4)
tr3 = cc(1,m1,k,1,3)+cc(1,m1,k,1,4)
chold1 = cc(1,m1,k,1,1) + tr2 + tr3
chold2 = cc(2,m1,k,1,1) + ti2 + ti3
cr2 = cc(1,m1,k,1,1) + tr11 * tr2 + tr12 * tr3
ci2 = cc(2,m1,k,1,1) + tr11 * ti2 + tr12 * ti3
cr3 = cc(1,m1,k,1,1) + tr12 * tr2 + tr11 * tr3
ci3 = cc(2,m1,k,1,1) + tr12 * ti2 + tr11 * ti3
cc(1,m1,k,1,1) = chold1
cc(2,m1,k,1,1) = chold2
cr5 = ti11*tr5 + ti12*tr4
ci5 = ti11*ti5 + ti12*ti4
cr4 = ti12*tr5 - ti11*tr4
ci4 = ti12*ti5 - ti11*ti4
cc(1,m1,k,1,2) = cr2-ci5
cc(1,m1,k,1,5) = cr2+ci5
cc(2,m1,k,1,2) = ci2+cr5
cc(2,m1,k,1,3) = ci3+cr4
cc(1,m1,k,1,3) = cr3-ci4
cc(1,m1,k,1,4) = cr3+ci4
cc(2,m1,k,1,4) = ci3-cr4
cc(2,m1,k,1,5) = ci2-cr5
end do
end do
end if
return
end