subroutine d1f5kf ( ido, l1, cc, in1, ch, in2, wa1, wa2, wa3, wa4 )
!*****************************************************************************80
!
!! D1F5KF is an FFTPACK5 auxiliary routine.
!
! License:
!
! Licensed under the GNU General Public License (GPL).
!
! Modified:
!
! 07 February 2006
!
! Author:
!
! Original real single precision by Paul Swarztrauber, Richard Valent.
! Real double precision version by John Burkardt.
!
! 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 = 8 ) arg
real ( kind = 8 ) cc(in1,ido,l1,5)
real ( kind = 8 ) ch(in2,ido,5,l1)
integer ( kind = 4 ) i
integer ( kind = 4 ) ic
integer ( kind = 4 ) idp2
integer ( kind = 4 ) k
real ( kind = 8 ) ti11
real ( kind = 8 ) ti12
real ( kind = 8 ) tr11
real ( kind = 8 ) tr12
real ( kind = 8 ) wa1(ido)
real ( kind = 8 ) wa2(ido)
real ( kind = 8 ) wa3(ido)
real ( kind = 8 ) wa4(ido)
arg = 2.0D+00 * 4.0D+00 * atan ( 1.0D+00 ) / 5.0D+00
tr11 = cos ( arg )
ti11 = sin ( arg )
tr12 = cos ( 2.0D+00 * arg )
ti12 = sin ( 2.0D+00 * arg )
do k = 1, l1
ch(1,1,1,k) = cc(1,1,k,1) + ( cc(1,1,k,5) + cc(1,1,k,2) ) &
+ ( cc(1,1,k,4) + cc(1,1,k,3) )
ch(1,ido,2,k) = cc(1,1,k,1) + tr11 * ( cc(1,1,k,5) + cc(1,1,k,2) ) &
+ tr12 * ( cc(1,1,k,4) + cc(1,1,k,3) )
ch(1,1,3,k) = ti11 * ( cc(1,1,k,5) - cc(1,1,k,2) ) &
+ ti12 * ( cc(1,1,k,4) - cc(1,1,k,3) )
ch(1,ido,4,k) = cc(1,1,k,1) + tr12 * ( cc(1,1,k,5) + cc(1,1,k,2) ) &
+ tr11 * ( cc(1,1,k,4) + cc(1,1,k,3) )
ch(1,1,5,k) = ti12 * ( cc(1,1,k,5) - cc(1,1,k,2) ) &
- ti11 * ( cc(1,1,k,4) - cc(1,1,k,3) )
end do
if ( ido == 1 ) then
return
end if
idp2 = ido + 2
do k = 1, l1
do i = 3, ido, 2
ic = idp2 - i
ch(1,i-1,1,k) = cc(1,i-1,k,1)+((wa1(i-2)*cc(1,i-1,k,2)+ &
wa1(i-1)*cc(1,i,k,2))+(wa4(i-2)*cc(1,i-1,k,5)+wa4(i-1)* &
cc(1,i,k,5)))+((wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)* &
cc(1,i,k,3))+(wa3(i-2)*cc(1,i-1,k,4)+ &
wa3(i-1)*cc(1,i,k,4)))
ch(1,i,1,k) = cc(1,i,k,1)+((wa1(i-2)*cc(1,i,k,2)- &
wa1(i-1)*cc(1,i-1,k,2))+(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)* &
cc(1,i-1,k,5)))+((wa2(i-2)*cc(1,i,k,3)-wa2(i-1)* &
cc(1,i-1,k,3))+(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)* &
cc(1,i-1,k,4)))
ch(1,i-1,3,k) = cc(1,i-1,k,1)+tr11* &
( wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)*cc(1,i,k,2) &
+wa4(i-2)*cc(1,i-1,k,5)+wa4(i-1)*cc(1,i,k,5))+tr12* &
( wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)*cc(1,i,k,3) &
+wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)*cc(1,i,k,4))+ti11* &
( wa1(i-2)*cc(1,i,k,2)-wa1(i-1)*cc(1,i-1,k,2) &
-(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)*cc(1,i-1,k,5)))+ti12* &
( wa2(i-2)*cc(1,i,k,3)-wa2(i-1)*cc(1,i-1,k,3) &
-(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)*cc(1,i-1,k,4)))
ch(1,ic-1,2,k) = cc(1,i-1,k,1)+tr11* &
( wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)*cc(1,i,k,2) &
+wa4(i-2)*cc(1,i-1,k,5)+wa4(i-1)*cc(1,i,k,5))+tr12* &
( wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)*cc(1,i,k,3) &
+wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)*cc(1,i,k,4))-(ti11* &
( wa1(i-2)*cc(1,i,k,2)-wa1(i-1)*cc(1,i-1,k,2) &
-(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)*cc(1,i-1,k,5)))+ti12* &
( wa2(i-2)*cc(1,i,k,3)-wa2(i-1)*cc(1,i-1,k,3) &
-(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)*cc(1,i-1,k,4))))
ch(1,i,3,k) = (cc(1,i,k,1)+tr11*((wa1(i-2)*cc(1,i,k,2)- &
wa1(i-1)*cc(1,i-1,k,2))+(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)* &
cc(1,i-1,k,5)))+tr12*((wa2(i-2)*cc(1,i,k,3)-wa2(i-1)* &
cc(1,i-1,k,3))+(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)* &
cc(1,i-1,k,4))))+(ti11*((wa4(i-2)*cc(1,i-1,k,5)+ &
wa4(i-1)*cc(1,i,k,5))-(wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)* &
cc(1,i,k,2)))+ti12*((wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)* &
cc(1,i,k,4))-(wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)* &
cc(1,i,k,3))))
ch(1,ic,2,k) = (ti11*((wa4(i-2)*cc(1,i-1,k,5)+wa4(i-1)* &
cc(1,i,k,5))-(wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)* &
cc(1,i,k,2)))+ti12*((wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)* &
cc(1,i,k,4))-(wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)* &
cc(1,i,k,3))))-(cc(1,i,k,1)+tr11*((wa1(i-2)*cc(1,i,k,2)- &
wa1(i-1)*cc(1,i-1,k,2))+(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)* &
cc(1,i-1,k,5)))+tr12*((wa2(i-2)*cc(1,i,k,3)-wa2(i-1)* &
cc(1,i-1,k,3))+(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)* &
cc(1,i-1,k,4))))
ch(1,i-1,5,k) = (cc(1,i-1,k,1)+tr12*((wa1(i-2)* &
cc(1,i-1,k,2)+wa1(i-1)*cc(1,i,k,2))+(wa4(i-2)* &
cc(1,i-1,k,5)+wa4(i-1)*cc(1,i,k,5)))+tr11*((wa2(i-2)* &
cc(1,i-1,k,3)+wa2(i-1)*cc(1,i,k,3))+(wa3(i-2)* &
cc(1,i-1,k,4)+wa3(i-1)*cc(1,i,k,4))))+(ti12*((wa1(i-2)* &
cc(1,i,k,2)-wa1(i-1)*cc(1,i-1,k,2))-(wa4(i-2)* &
cc(1,i,k,5)-wa4(i-1)*cc(1,i-1,k,5)))-ti11*((wa2(i-2)* &
cc(1,i,k,3)-wa2(i-1)*cc(1,i-1,k,3))-(wa3(i-2)* &
cc(1,i,k,4)-wa3(i-1)*cc(1,i-1,k,4))))
ch(1,ic-1,4,k) = (cc(1,i-1,k,1)+tr12*((wa1(i-2)* &
cc(1,i-1,k,2)+wa1(i-1)*cc(1,i,k,2))+(wa4(i-2)* &
cc(1,i-1,k,5)+wa4(i-1)*cc(1,i,k,5)))+tr11*((wa2(i-2)* &
cc(1,i-1,k,3)+wa2(i-1)*cc(1,i,k,3))+(wa3(i-2)* &
cc(1,i-1,k,4)+wa3(i-1)*cc(1,i,k,4))))-(ti12*((wa1(i-2)* &
cc(1,i,k,2)-wa1(i-1)*cc(1,i-1,k,2))-(wa4(i-2)* &
cc(1,i,k,5)-wa4(i-1)*cc(1,i-1,k,5)))-ti11*((wa2(i-2)* &
cc(1,i,k,3)-wa2(i-1)*cc(1,i-1,k,3))-(wa3(i-2)* &
cc(1,i,k,4)-wa3(i-1)*cc(1,i-1,k,4))))
ch(1,i,5,k) = (cc(1,i,k,1)+tr12*((wa1(i-2)*cc(1,i,k,2)- &
wa1(i-1)*cc(1,i-1,k,2))+(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)* &
cc(1,i-1,k,5)))+tr11*((wa2(i-2)*cc(1,i,k,3)-wa2(i-1)* &
cc(1,i-1,k,3))+(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)* &
cc(1,i-1,k,4))))+(ti12*((wa4(i-2)*cc(1,i-1,k,5)+ &
wa4(i-1)*cc(1,i,k,5))-(wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)* &
cc(1,i,k,2)))-ti11*((wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)* &
cc(1,i,k,4))-(wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)* &
cc(1,i,k,3))))
ch(1,ic,4,k) = (ti12*((wa4(i-2)*cc(1,i-1,k,5)+wa4(i-1)* &
cc(1,i,k,5))-(wa1(i-2)*cc(1,i-1,k,2)+wa1(i-1)* &
cc(1,i,k,2)))-ti11*((wa3(i-2)*cc(1,i-1,k,4)+wa3(i-1)* &
cc(1,i,k,4))-(wa2(i-2)*cc(1,i-1,k,3)+wa2(i-1)* &
cc(1,i,k,3))))-(cc(1,i,k,1)+tr12*((wa1(i-2)*cc(1,i,k,2)- &
wa1(i-1)*cc(1,i-1,k,2))+(wa4(i-2)*cc(1,i,k,5)-wa4(i-1)* &
cc(1,i-1,k,5)))+tr11*((wa2(i-2)*cc(1,i,k,3)-wa2(i-1)* &
cc(1,i-1,k,3))+(wa3(i-2)*cc(1,i,k,4)-wa3(i-1)* &
cc(1,i-1,k,4))))
end do
end do
return
end