subroutine r1f5kf ( ido, l1, cc, in1, ch, in2, wa1, wa2, wa3, wa4 ) !*****************************************************************************80 ! !! R1F5KF is an FFTPACK5 auxiliary routine. ! ! ! 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 ) arg real ( kind = 4 ) cc(in1,ido,l1,5) real ( kind = 4 ) ch(in2,ido,5,l1) integer ( kind = 4 ) i integer ( kind = 4 ) ic integer ( kind = 4 ) idp2 integer ( kind = 4 ) k real ( kind = 4 ) ti11 real ( kind = 4 ) ti12 real ( kind = 4 ) tr11 real ( kind = 4 ) tr12 real ( kind = 4 ) wa1(ido) real ( kind = 4 ) wa2(ido) real ( kind = 4 ) wa3(ido) real ( kind = 4 ) wa4(ido) arg = 2.0E+00 * 4.0E+00 * atan ( 1.0E+00 ) / 5.0E+00 tr11 = cos ( arg ) ti11 = sin ( arg ) tr12 = cos ( 2.0E+00 * arg ) ti12 = sin ( 2.0E+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