| 1 | !> @file temperton_fft_mod.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! |
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| 4 | ! Current revisions: |
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| 5 | ! ----------------- |
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| 6 | ! |
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| 7 | ! |
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| 8 | ! Former revisions: |
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| 9 | ! ----------------- |
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| 10 | ! $Id: temperton_fft_mod.f90 3049 2018-05-29 13:52:36Z raasch $ |
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| 11 | ! Error messages revised |
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| 12 | ! |
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| 13 | ! 3045 2018-05-28 07:55:41Z Giersch |
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| 14 | ! Error message revised |
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| 15 | ! |
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| 16 | ! 2300 2017-06-29 13:31:14Z raasch |
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| 17 | ! NEC related CPP directives removed |
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| 18 | ! |
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| 19 | ! 1851 2016-04-08 13:32:50Z maronga |
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| 20 | ! |
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| 21 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 22 | ! Module renamed |
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| 23 | ! |
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| 24 | ! |
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| 25 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 26 | ! Code annotations made doxygen readable |
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| 27 | ! |
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| 28 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 29 | ! REAL constants defined as wp-kind |
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| 30 | ! |
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| 31 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 32 | ! REAL constants defined as wp-kind |
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| 33 | ! |
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| 34 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 35 | ! ONLY-attribute added to USE-statements, |
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| 36 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 37 | ! kinds are defined in new module kinds, |
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| 38 | ! old module precision_kind is removed, |
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| 39 | ! revision history before 2012 removed, |
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| 40 | ! comment fields (!:) to be used for variable explanations added to |
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| 41 | ! all variable declaration statements |
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| 42 | ! |
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| 43 | ! Revision 1.1 2003/03/12 16:41:59 raasch |
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| 44 | ! Initial revision |
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| 45 | ! |
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| 46 | ! |
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| 47 | ! Description: |
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| 48 | ! ------------ |
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| 49 | !> Fast Fourier transformation developed by Clive Temperton, ECMWF. |
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| 50 | !------------------------------------------------------------------------------! |
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| 51 | MODULE temperton_fft |
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| 52 | |
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| 53 | USE kinds |
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| 54 | |
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| 55 | IMPLICIT NONE |
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| 56 | |
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| 57 | PRIVATE |
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| 58 | |
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| 59 | PUBLIC set99, fft991cy |
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| 60 | |
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| 61 | |
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| 62 | INTEGER(iwp) :: nfax(10) !< array used by *fft991*. |
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| 63 | INTEGER(iwp), PARAMETER :: nfft = 32 !< maximum length of calls to *fft |
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| 64 | INTEGER(iwp), PARAMETER :: nout = 6 !< standard output stream |
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| 65 | |
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| 66 | REAL(wp), ALLOCATABLE :: trig(:) !< array used by *fft991*. |
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| 67 | |
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| 68 | CONTAINS |
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| 69 | |
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| 70 | !------------------------------------------------------------------------------! |
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| 71 | ! Description: |
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| 72 | ! ------------ |
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| 73 | !> Calls fortran-versions of fft's. |
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| 74 | !> |
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| 75 | !> Method: |
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| 76 | !> |
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| 77 | !> Subroutine 'fft991cy' - multiple fast real periodic transform |
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| 78 | !> supersedes previous routine 'fft991cy'. |
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| 79 | !> |
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| 80 | !> Real transform of length n performed by removing redundant |
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| 81 | !> operations from complex transform of length n. |
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| 82 | !> |
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| 83 | !> a is the array containing input & output data. |
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| 84 | !> work is an area of size (n+1)*min(lot,nfft). |
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| 85 | !> trigs is a previously prepared list of trig function values. |
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| 86 | !> ifax is a previously prepared list of factors of n. |
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| 87 | !> inc is the increment within each data 'vector' |
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| 88 | !> (e.g. inc=1 for consecutively stored data). |
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| 89 | !> jump is the increment between the start of each data vector. |
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| 90 | !> n is the length of the data vectors. |
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| 91 | !> lot is the number of data vectors. |
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| 92 | !> isign = +1 for transform from spectral to gridpoint |
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| 93 | !> = -1 for transform from gridpoint to spectral. |
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| 94 | !> |
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| 95 | !> ordering of coefficients: |
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| 96 | !> a(0),b(0),a(1),b(1),a(2),b(2),.,a(n/2),b(n/2) |
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| 97 | !> where b(0)=b(n/2)=0; (n+2) locations required. |
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| 98 | !> |
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| 99 | !> ordering of data: |
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| 100 | !> x(0),x(1),x(2),.,x(n-1), 0 , 0 ; (n+2) locations required. |
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| 101 | !> |
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| 102 | !> Vectorization is achieved on cray by doing the transforms |
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| 103 | !> in parallel. |
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| 104 | !> |
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| 105 | !> n must be composed of factors 2,3 & 5 but does not have to be even. |
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| 106 | !> |
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| 107 | !> definition of transforms: |
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| 108 | !> |
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| 109 | !> isign=+1: x(j)=sum(k=0,.,n-1)(c(k)*exp(2*i*j*k*pi/n)) |
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| 110 | !> where c(k)=a(k)+i*b(k) and c(n-k)=a(k)-i*b(k) |
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| 111 | !> |
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| 112 | !> isign=-1: a(k)=(1/n)*sum(j=0,.,n-1)(x(j)*cos(2*j*k*pi/n)) |
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| 113 | !> b(k)=-(1/n)*sum(j=0,.,n-1)(x(j)*sin(2*j*k*pi/n)) |
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| 114 | !> |
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| 115 | !> calls fortran-versions of fft's !!! |
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| 116 | !> dimension a(n),work(n),trigs(n),ifax(1) |
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| 117 | !------------------------------------------------------------------------------! |
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| 118 | SUBROUTINE fft991cy(a,work,trigs,ifax,inc,jump,n,lot,isign) |
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| 119 | |
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| 120 | USE kinds |
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| 121 | |
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| 122 | IMPLICIT NONE |
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| 123 | |
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| 124 | ! Scalar arguments |
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| 125 | INTEGER(iwp) :: inc !< |
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| 126 | INTEGER(iwp) :: isign !< |
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| 127 | INTEGER(iwp) :: jump !< |
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| 128 | INTEGER(iwp) :: lot !< |
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| 129 | INTEGER(iwp) :: n !< |
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| 130 | |
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| 131 | ! Array arguments |
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| 132 | REAL(wp) :: a(*) !< |
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| 133 | REAL(wp) :: trigs(*) !< |
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| 134 | REAL(wp) :: work(*) !< |
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| 135 | INTEGER(iwp) :: ifax(*) !< |
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| 136 | |
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| 137 | ! Local scalars: |
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| 138 | INTEGER(iwp) :: i !< |
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| 139 | INTEGER(iwp) :: ia !< |
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| 140 | INTEGER(iwp) :: ibase !< |
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| 141 | INTEGER(iwp) :: ierr !< |
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| 142 | INTEGER(iwp) :: ifac !< |
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| 143 | INTEGER(iwp) :: igo !< |
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| 144 | INTEGER(iwp) :: ii !< |
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| 145 | INTEGER(iwp) :: istart !< |
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| 146 | INTEGER(iwp) :: ix !< |
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| 147 | INTEGER(iwp) :: iz !< |
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| 148 | INTEGER(iwp) :: j !< |
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| 149 | INTEGER(iwp) :: jbase !< |
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| 150 | INTEGER(iwp) :: jj !< |
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| 151 | INTEGER(iwp) :: k !< |
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| 152 | INTEGER(iwp) :: la !< |
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| 153 | INTEGER(iwp) :: nb !< |
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| 154 | INTEGER(iwp) :: nblox !< |
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| 155 | INTEGER(iwp) :: nfax !< |
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| 156 | INTEGER(iwp) :: nvex !< |
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| 157 | INTEGER(iwp) :: nx !< |
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| 158 | |
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| 159 | ! Intrinsic functions |
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| 160 | ! INTRINSIC MOD |
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| 161 | |
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| 162 | |
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| 163 | ! Executable statements |
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| 164 | |
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| 165 | IF (ifax(10)/=n) CALL set99(trigs,ifax,n) |
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| 166 | nfax = ifax(1) |
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| 167 | nx = n + 1 |
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| 168 | IF (MOD(n,2)==1) nx = n |
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| 169 | nblox = 1 + (lot-1)/nfft |
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| 170 | nvex = lot - (nblox-1)*nfft |
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| 171 | IF (isign==-1) GO TO 50 |
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| 172 | |
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| 173 | ! isign=+1, spectral to gridpoint transform |
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| 174 | |
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| 175 | istart = 1 |
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| 176 | DO nb = 1, nblox |
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| 177 | ia = istart |
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| 178 | i = istart |
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| 179 | !DIR$ IVDEP |
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| 180 | !CDIR NODEP |
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| 181 | !OCL NOVREC |
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| 182 | DO j = 1, nvex |
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| 183 | a(i+inc) = 0.5_wp*a(i) |
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| 184 | i = i + jump |
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| 185 | END DO |
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| 186 | IF (MOD(n,2)==1) GO TO 10 |
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| 187 | i = istart + n*inc |
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| 188 | DO j = 1, nvex |
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| 189 | a(i) = 0.5_wp*a(i) |
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| 190 | i = i + jump |
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| 191 | END DO |
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| 192 | 10 CONTINUE |
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| 193 | ia = istart + inc |
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| 194 | la = 1 |
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| 195 | igo = + 1 |
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| 196 | |
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| 197 | DO k = 1, nfax |
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| 198 | ifac = ifax(k+1) |
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| 199 | ierr = -1 |
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| 200 | IF (igo==-1) GO TO 20 |
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| 201 | CALL rpassm(a(ia),a(ia+la*inc),work(1),work(ifac*la+1),trigs,inc,1, & |
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| 202 | & jump,nx,nvex,n,ifac,la,ierr) |
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| 203 | GO TO 30 |
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| 204 | 20 CONTINUE |
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| 205 | CALL rpassm(work(1),work(la+1),a(ia),a(ia+ifac*la*inc),trigs,1,inc,nx, & |
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| 206 | & jump,nvex,n,ifac,la,ierr) |
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| 207 | 30 CONTINUE |
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| 208 | IF (ierr/=0) GO TO 100 |
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| 209 | la = ifac*la |
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| 210 | igo = -igo |
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| 211 | ia = istart |
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| 212 | END DO |
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| 213 | |
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| 214 | ! If necessary, copy results back to a |
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| 215 | |
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| 216 | IF (MOD(nfax,2)==0) GO TO 40 |
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| 217 | ibase = 1 |
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| 218 | jbase = ia |
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| 219 | DO jj = 1, nvex |
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| 220 | i = ibase |
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| 221 | j = jbase |
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| 222 | DO ii = 1, n |
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| 223 | a(j) = work(i) |
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| 224 | i = i + 1 |
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| 225 | j = j + inc |
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| 226 | END DO |
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| 227 | ibase = ibase + nx |
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| 228 | jbase = jbase + jump |
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| 229 | END DO |
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| 230 | 40 CONTINUE |
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| 231 | |
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| 232 | ! Fill in zeros at end |
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| 233 | |
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| 234 | ix = istart + n*inc |
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| 235 | !DIR$ IVDEP |
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| 236 | !CDIR NODEP |
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| 237 | !OCL NOVREC |
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| 238 | DO j = 1, nvex |
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| 239 | a(ix) = 0.0_wp |
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| 240 | a(ix+inc) = 0.0_wp |
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| 241 | ix = ix + jump |
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| 242 | END DO |
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| 243 | |
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| 244 | istart = istart + nvex*jump |
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| 245 | nvex = nfft |
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| 246 | END DO |
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| 247 | RETURN |
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| 248 | |
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| 249 | ! isign=-1, gridpoint to spectral transform |
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| 250 | |
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| 251 | 50 CONTINUE |
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| 252 | istart = 1 |
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| 253 | DO nb = 1, nblox |
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| 254 | ia = istart |
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| 255 | la = n |
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| 256 | igo = + 1 |
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| 257 | |
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| 258 | DO k = 1, nfax |
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| 259 | ifac = ifax(nfax+2-k) |
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| 260 | la = la/ifac |
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| 261 | ierr = -1 |
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| 262 | IF (igo==-1) GO TO 60 |
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| 263 | CALL qpassm(a(ia),a(ia+ifac*la*inc),work(1),work(la+1),trigs,inc,1, & |
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| 264 | & jump,nx,nvex,n,ifac,la,ierr) |
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| 265 | GO TO 70 |
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| 266 | 60 CONTINUE |
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| 267 | CALL qpassm(work(1),work(ifac*la+1),a(ia),a(ia+la*inc),trigs,1,inc,nx, & |
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| 268 | & jump,nvex,n,ifac,la,ierr) |
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| 269 | 70 CONTINUE |
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| 270 | IF (ierr/=0) GO TO 100 |
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| 271 | igo = -igo |
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| 272 | ia = istart + inc |
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| 273 | END DO |
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| 274 | |
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| 275 | ! If necessary, copy results back to a |
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| 276 | |
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| 277 | IF (MOD(nfax,2)==0) GO TO 80 |
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| 278 | ibase = 1 |
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| 279 | jbase = ia |
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| 280 | DO jj = 1, nvex |
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| 281 | i = ibase |
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| 282 | j = jbase |
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| 283 | DO ii = 1, n |
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| 284 | a(j) = work(i) |
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| 285 | i = i + 1 |
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| 286 | j = j + inc |
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| 287 | END DO |
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| 288 | ibase = ibase + nx |
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| 289 | jbase = jbase + jump |
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| 290 | END DO |
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| 291 | 80 CONTINUE |
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| 292 | |
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| 293 | ! Shift a(0) & fill in zero imag parts |
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| 294 | |
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| 295 | ix = istart |
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| 296 | !DIR$ IVDEP |
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| 297 | !CDIR NODEP |
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| 298 | !OCL NOVREC |
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| 299 | DO j = 1, nvex |
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| 300 | a(ix) = a(ix+inc) |
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| 301 | a(ix+inc) = 0.0_wp |
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| 302 | ix = ix + jump |
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| 303 | END DO |
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| 304 | IF (MOD(n,2)==1) GO TO 90 |
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| 305 | iz = istart + (n+1)*inc |
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| 306 | DO j = 1, nvex |
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| 307 | a(iz) = 0.0_wp |
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| 308 | iz = iz + jump |
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| 309 | END DO |
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| 310 | 90 CONTINUE |
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| 311 | |
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| 312 | istart = istart + nvex*jump |
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| 313 | nvex = nfft |
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| 314 | END DO |
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| 315 | RETURN |
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| 316 | |
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| 317 | ! Error messages |
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| 318 | |
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| 319 | 100 CONTINUE |
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| 320 | |
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| 321 | SELECT CASE (ierr) |
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| 322 | CASE (:-1) |
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| 323 | WRITE (nout,'(A,I5,A)') ' Vector length =',nvex,', greater than nfft' |
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| 324 | CASE (0) |
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| 325 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', not catered for' |
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| 326 | CASE (1:) |
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| 327 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', only catered for if la*ifac=n' |
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| 328 | END SELECT |
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| 329 | |
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| 330 | RETURN |
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| 331 | END SUBROUTINE fft991cy |
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| 332 | |
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| 333 | !------------------------------------------------------------------------------! |
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| 334 | ! Description: |
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| 335 | ! ------------ |
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| 336 | !> Performs one pass through data as part of |
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| 337 | !> multiple real fft (fourier analysis) routine. |
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| 338 | !> |
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| 339 | !> Method: |
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| 340 | !> |
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| 341 | !> a is first real input vector |
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| 342 | !> equivalence b(1) with a(ifac*la*inc1+1) |
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| 343 | !> c is first real output vector |
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| 344 | !> equivalence d(1) with c(la*inc2+1) |
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| 345 | !> trigs is a precalculated list of sines & cosines |
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| 346 | !> inc1 is the addressing increment for a |
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| 347 | !> inc2 is the addressing increment for c |
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| 348 | !> inc3 is the increment between input vectors a |
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| 349 | !> inc4 is the increment between output vectors c |
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| 350 | !> lot is the number of vectors |
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| 351 | !> n is the length of the vectors |
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| 352 | !> ifac is the current factor of n |
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| 353 | !> la = n/(product of factors used so far) |
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| 354 | !> ierr is an error indicator: |
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| 355 | !> 0 - pass completed without error |
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| 356 | !> 1 - lot greater than nfft |
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| 357 | !> 2 - ifac not catered for |
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| 358 | !> 3 - ifac only catered for if la=n/ifac |
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| 359 | !------------------------------------------------------------------------------! |
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| 360 | SUBROUTINE qpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
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| 361 | |
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| 362 | USE kinds |
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| 363 | |
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| 364 | IMPLICIT NONE |
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| 365 | |
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| 366 | ! Scalar arguments |
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| 367 | INTEGER(iwp) :: ierr !< |
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| 368 | INTEGER(iwp) :: ifac !< |
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| 369 | INTEGER(iwp) :: inc1 !< |
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| 370 | INTEGER(iwp) :: inc2 !< |
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| 371 | INTEGER(iwp) :: inc3 !< |
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| 372 | INTEGER(iwp) :: inc4 !< |
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| 373 | INTEGER(iwp) :: la !< |
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| 374 | INTEGER(iwp) :: lot !< |
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| 375 | INTEGER(iwp) :: n !< |
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| 376 | |
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| 377 | ! Array arguments |
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| 378 | ! REAL :: a(n),b(n),c(n),d(n),trigs(n) |
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| 379 | REAL(wp) :: a(*) !< |
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| 380 | REAL(wp) :: b(*) !< |
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| 381 | REAL(wp) :: c(*) !< |
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| 382 | REAL(wp) :: d(*) !< |
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| 383 | REAL(wp) :: trigs(*) !< |
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| 384 | |
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| 385 | ! Local scalars: |
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| 386 | REAL(wp) :: a0 !< |
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| 387 | REAL(wp) :: a1 !< |
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| 388 | REAL(wp) :: a10 !< |
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| 389 | REAL(wp) :: a11 !< |
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| 390 | REAL(wp) :: a2 !< |
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| 391 | REAL(wp) :: a20 !< |
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| 392 | REAL(wp) :: a21 !< |
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| 393 | REAL(wp) :: a3 !< |
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| 394 | REAL(wp) :: a4 !< |
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| 395 | REAL(wp) :: a5 !< |
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| 396 | REAL(wp) :: a6 !< |
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| 397 | REAL(wp) :: b0 !< |
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| 398 | REAL(wp) :: b1 !< |
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| 399 | REAL(wp) :: b10 !< |
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| 400 | REAL(wp) :: b11 !< |
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| 401 | REAL(wp) :: b2 !< |
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| 402 | REAL(wp) :: b20 !< |
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| 403 | REAL(wp) :: b21 !< |
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| 404 | REAL(wp) :: b3 !< |
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| 405 | REAL(wp) :: b4 !< |
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| 406 | REAL(wp) :: b5 !< |
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| 407 | REAL(wp) :: b6 !< |
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| 408 | REAL(wp) :: c1 !< |
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| 409 | REAL(wp) :: c2 !< |
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| 410 | REAL(wp) :: c3 !< |
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| 411 | REAL(wp) :: c4 !< |
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| 412 | REAL(wp) :: c5 !< |
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| 413 | REAL(wp) :: qrt5 !< |
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| 414 | REAL(wp) :: s1 !< |
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| 415 | REAL(wp) :: s2 !< |
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| 416 | REAL(wp) :: s3 !< |
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| 417 | REAL(wp) :: s4 !< |
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| 418 | REAL(wp) :: s5 !< |
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| 419 | REAL(wp) :: sin36 !< |
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| 420 | REAL(wp) :: sin45 !< |
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| 421 | REAL(wp) :: sin60 !< |
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| 422 | REAL(wp) :: sin72 !< |
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| 423 | REAL(wp) :: z !< |
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| 424 | REAL(wp) :: zqrt5 !< |
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| 425 | REAL(wp) :: zsin36 !< |
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| 426 | REAL(wp) :: zsin45 !< |
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| 427 | REAL(wp) :: zsin60 !< |
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| 428 | REAL(wp) :: zsin72 !< |
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| 429 | |
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| 430 | INTEGER(iwp) :: i !< |
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| 431 | INTEGER(iwp) :: ia !< |
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| 432 | INTEGER(iwp) :: ib !< |
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| 433 | INTEGER(iwp) :: ibad !< |
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| 434 | INTEGER(iwp) :: ibase !< |
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| 435 | INTEGER(iwp) :: ic !< |
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| 436 | INTEGER(iwp) :: id !< |
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| 437 | INTEGER(iwp) :: ie !< |
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| 438 | INTEGER(iwp) :: if !< |
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| 439 | INTEGER(iwp) :: ig !< |
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| 440 | INTEGER(iwp) :: igo !< |
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| 441 | INTEGER(iwp) :: ih !< |
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| 442 | INTEGER(iwp) :: iink !< |
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| 443 | INTEGER(iwp) :: ijk !< |
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| 444 | INTEGER(iwp) :: ijump !< |
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| 445 | INTEGER(iwp) :: j !< |
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| 446 | INTEGER(iwp) :: ja !< |
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| 447 | INTEGER(iwp) :: jb !< |
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| 448 | INTEGER(iwp) :: jbase !< |
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| 449 | INTEGER(iwp) :: jc !< |
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| 450 | INTEGER(iwp) :: jd !< |
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| 451 | INTEGER(iwp) :: je !< |
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| 452 | INTEGER(iwp) :: jf !< |
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| 453 | INTEGER(iwp) :: jink !< |
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| 454 | INTEGER(iwp) :: k !< |
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| 455 | INTEGER(iwp) :: kb !< |
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| 456 | INTEGER(iwp) :: kc !< |
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| 457 | INTEGER(iwp) :: kd !< |
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| 458 | INTEGER(iwp) :: ke !< |
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| 459 | INTEGER(iwp) :: kf !< |
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| 460 | INTEGER(iwp) :: kstop !< |
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| 461 | INTEGER(iwp) :: l !< |
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| 462 | INTEGER(iwp) :: m !< |
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| 463 | |
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| 464 | ! Intrinsic functions |
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| 465 | ! INTRINSIC REAL, SQRT |
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| 466 | |
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| 467 | ! Data statements |
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| 468 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
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| 469 | & qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
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| 470 | |
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| 471 | |
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| 472 | ! Executable statements |
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| 473 | |
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| 474 | m = n/ifac |
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| 475 | iink = la*inc1 |
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| 476 | jink = la*inc2 |
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| 477 | ijump = (ifac-1)*iink |
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| 478 | kstop = (n-ifac)/(2*ifac) |
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| 479 | |
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| 480 | ibad = 1 |
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| 481 | IF (lot>nfft) GO TO 180 |
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| 482 | ibase = 0 |
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| 483 | jbase = 0 |
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| 484 | igo = ifac - 1 |
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| 485 | IF (igo==7) igo = 6 |
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| 486 | ibad = 2 |
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| 487 | IF (igo<1 .OR. igo>6) GO TO 180 |
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| 488 | GO TO (10,40,70,100,130,160) igo |
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| 489 | |
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| 490 | ! Coding for factor 2 |
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| 491 | |
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| 492 | 10 CONTINUE |
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| 493 | ia = 1 |
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| 494 | ib = ia + iink |
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| 495 | ja = 1 |
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| 496 | jb = ja + (2*m-la)*inc2 |
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| 497 | |
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| 498 | IF (la==m) GO TO 30 |
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| 499 | |
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| 500 | DO l = 1, la |
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| 501 | i = ibase |
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| 502 | j = jbase |
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| 503 | !DIR$ IVDEP |
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| 504 | !CDIR NODEP |
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| 505 | !OCL NOVREC |
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| 506 | DO ijk = 1, lot |
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| 507 | c(ja+j) = a(ia+i) + a(ib+i) |
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| 508 | c(jb+j) = a(ia+i) - a(ib+i) |
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| 509 | i = i + inc3 |
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| 510 | j = j + inc4 |
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| 511 | END DO |
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| 512 | ibase = ibase + inc1 |
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| 513 | jbase = jbase + inc2 |
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| 514 | END DO |
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| 515 | ja = ja + jink |
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| 516 | jink = 2*jink |
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| 517 | jb = jb - jink |
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| 518 | ibase = ibase + ijump |
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| 519 | ijump = 2*ijump + iink |
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| 520 | IF (ja==jb) GO TO 20 |
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| 521 | DO k = la, kstop, la |
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| 522 | kb = k + k |
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| 523 | c1 = trigs(kb+1) |
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| 524 | s1 = trigs(kb+2) |
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| 525 | jbase = 0 |
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| 526 | DO l = 1, la |
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| 527 | i = ibase |
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| 528 | j = jbase |
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| 529 | !DIR$ IVDEP |
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| 530 | !CDIR NODEP |
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| 531 | !OCL NOVREC |
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| 532 | DO ijk = 1, lot |
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| 533 | c(ja+j) = a(ia+i) + (c1*a(ib+i)+s1*b(ib+i)) |
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| 534 | c(jb+j) = a(ia+i) - (c1*a(ib+i)+s1*b(ib+i)) |
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| 535 | d(ja+j) = (c1*b(ib+i)-s1*a(ib+i)) + b(ia+i) |
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| 536 | d(jb+j) = (c1*b(ib+i)-s1*a(ib+i)) - b(ia+i) |
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| 537 | i = i + inc3 |
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| 538 | j = j + inc4 |
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| 539 | END DO |
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| 540 | ibase = ibase + inc1 |
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| 541 | jbase = jbase + inc2 |
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| 542 | END DO |
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| 543 | ibase = ibase + ijump |
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| 544 | ja = ja + jink |
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| 545 | jb = jb - jink |
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| 546 | END DO |
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| 547 | IF (ja>jb) GO TO 170 |
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| 548 | 20 CONTINUE |
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| 549 | jbase = 0 |
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| 550 | DO l = 1, la |
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| 551 | i = ibase |
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| 552 | j = jbase |
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| 553 | !DIR$ IVDEP |
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| 554 | !CDIR NODEP |
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| 555 | !OCL NOVREC |
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| 556 | DO ijk = 1, lot |
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| 557 | c(ja+j) = a(ia+i) |
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| 558 | d(ja+j) = -a(ib+i) |
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| 559 | i = i + inc3 |
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| 560 | j = j + inc4 |
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| 561 | END DO |
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| 562 | ibase = ibase + inc1 |
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| 563 | jbase = jbase + inc2 |
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| 564 | END DO |
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| 565 | |
|---|
| 566 | GO TO 170 |
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| 567 | 30 CONTINUE |
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| 568 | z = 1.0_wp/REAL(n,KIND=wp) |
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| 569 | DO l = 1, la |
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| 570 | i = ibase |
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| 571 | j = jbase |
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| 572 | !DIR$ IVDEP |
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| 573 | !CDIR NODEP |
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| 574 | !OCL NOVREC |
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| 575 | DO ijk = 1, lot |
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| 576 | c(ja+j) = z*(a(ia+i)+a(ib+i)) |
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| 577 | c(jb+j) = z*(a(ia+i)-a(ib+i)) |
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| 578 | i = i + inc3 |
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| 579 | j = j + inc4 |
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| 580 | END DO |
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| 581 | ibase = ibase + inc1 |
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| 582 | jbase = jbase + inc2 |
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| 583 | END DO |
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| 584 | GO TO 170 |
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| 585 | |
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| 586 | ! Coding for factor 3 |
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| 587 | |
|---|
| 588 | 40 CONTINUE |
|---|
| 589 | ia = 1 |
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| 590 | ib = ia + iink |
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| 591 | ic = ib + iink |
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| 592 | ja = 1 |
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| 593 | jb = ja + (2*m-la)*inc2 |
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| 594 | jc = jb |
|---|
| 595 | |
|---|
| 596 | IF (la==m) GO TO 60 |
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| 597 | |
|---|
| 598 | DO l = 1, la |
|---|
| 599 | i = ibase |
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| 600 | j = jbase |
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| 601 | !DIR$ IVDEP |
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| 602 | !CDIR NODEP |
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| 603 | !OCL NOVREC |
|---|
| 604 | DO ijk = 1, lot |
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| 605 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
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| 606 | c(jb+j) = a(ia+i) - 0.5_wp*(a(ib+i)+a(ic+i)) |
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| 607 | d(jb+j) = sin60*(a(ic+i)-a(ib+i)) |
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| 608 | i = i + inc3 |
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| 609 | j = j + inc4 |
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| 610 | END DO |
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| 611 | ibase = ibase + inc1 |
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| 612 | jbase = jbase + inc2 |
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| 613 | END DO |
|---|
| 614 | ja = ja + jink |
|---|
| 615 | jink = 2*jink |
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| 616 | jb = jb + jink |
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| 617 | jc = jc - jink |
|---|
| 618 | ibase = ibase + ijump |
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| 619 | ijump = 2*ijump + iink |
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| 620 | IF (ja==jc) GO TO 50 |
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| 621 | DO k = la, kstop, la |
|---|
| 622 | kb = k + k |
|---|
| 623 | kc = kb + kb |
|---|
| 624 | c1 = trigs(kb+1) |
|---|
| 625 | s1 = trigs(kb+2) |
|---|
| 626 | c2 = trigs(kc+1) |
|---|
| 627 | s2 = trigs(kc+2) |
|---|
| 628 | jbase = 0 |
|---|
| 629 | DO l = 1, la |
|---|
| 630 | i = ibase |
|---|
| 631 | j = jbase |
|---|
| 632 | !DIR$ IVDEP |
|---|
| 633 | !CDIR NODEP |
|---|
| 634 | !OCL NOVREC |
|---|
| 635 | DO ijk = 1, lot |
|---|
| 636 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 637 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 638 | a2 = a(ia+i) - 0.5_wp*a1 |
|---|
| 639 | b2 = b(ia+i) - 0.5_wp*b1 |
|---|
| 640 | a3 = sin60*((c1*a(ib+i)+s1*b(ib+i))-(c2*a(ic+i)+s2*b(ic+i))) |
|---|
| 641 | b3 = sin60*((c1*b(ib+i)-s1*a(ib+i))-(c2*b(ic+i)-s2*a(ic+i))) |
|---|
| 642 | c(ja+j) = a(ia+i) + a1 |
|---|
| 643 | d(ja+j) = b(ia+i) + b1 |
|---|
| 644 | c(jb+j) = a2 + b3 |
|---|
| 645 | d(jb+j) = b2 - a3 |
|---|
| 646 | c(jc+j) = a2 - b3 |
|---|
| 647 | d(jc+j) = -(b2+a3) |
|---|
| 648 | i = i + inc3 |
|---|
| 649 | j = j + inc4 |
|---|
| 650 | END DO |
|---|
| 651 | ibase = ibase + inc1 |
|---|
| 652 | jbase = jbase + inc2 |
|---|
| 653 | END DO |
|---|
| 654 | ibase = ibase + ijump |
|---|
| 655 | ja = ja + jink |
|---|
| 656 | jb = jb + jink |
|---|
| 657 | jc = jc - jink |
|---|
| 658 | END DO |
|---|
| 659 | IF (ja>jc) GO TO 170 |
|---|
| 660 | 50 CONTINUE |
|---|
| 661 | jbase = 0 |
|---|
| 662 | DO l = 1, la |
|---|
| 663 | i = ibase |
|---|
| 664 | j = jbase |
|---|
| 665 | !DIR$ IVDEP |
|---|
| 666 | !CDIR NODEP |
|---|
| 667 | !OCL NOVREC |
|---|
| 668 | DO ijk = 1, lot |
|---|
| 669 | c(ja+j) = a(ia+i) + 0.5_wp*(a(ib+i)-a(ic+i)) |
|---|
| 670 | d(ja+j) = -sin60*(a(ib+i)+a(ic+i)) |
|---|
| 671 | c(jb+j) = a(ia+i) - (a(ib+i)-a(ic+i)) |
|---|
| 672 | i = i + inc3 |
|---|
| 673 | j = j + inc4 |
|---|
| 674 | END DO |
|---|
| 675 | ibase = ibase + inc1 |
|---|
| 676 | jbase = jbase + inc2 |
|---|
| 677 | END DO |
|---|
| 678 | |
|---|
| 679 | GO TO 170 |
|---|
| 680 | 60 CONTINUE |
|---|
| 681 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 682 | zsin60 = z*sin60 |
|---|
| 683 | DO l = 1, la |
|---|
| 684 | i = ibase |
|---|
| 685 | j = jbase |
|---|
| 686 | !DIR$ IVDEP |
|---|
| 687 | !CDIR NODEP |
|---|
| 688 | !OCL NOVREC |
|---|
| 689 | DO ijk = 1, lot |
|---|
| 690 | c(ja+j) = z*(a(ia+i)+(a(ib+i)+a(ic+i))) |
|---|
| 691 | c(jb+j) = z*(a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i))) |
|---|
| 692 | d(jb+j) = zsin60*(a(ic+i)-a(ib+i)) |
|---|
| 693 | i = i + inc3 |
|---|
| 694 | j = j + inc4 |
|---|
| 695 | END DO |
|---|
| 696 | ibase = ibase + inc1 |
|---|
| 697 | jbase = jbase + inc2 |
|---|
| 698 | END DO |
|---|
| 699 | GO TO 170 |
|---|
| 700 | |
|---|
| 701 | ! Coding for factor 4 |
|---|
| 702 | |
|---|
| 703 | 70 CONTINUE |
|---|
| 704 | ia = 1 |
|---|
| 705 | ib = ia + iink |
|---|
| 706 | ic = ib + iink |
|---|
| 707 | id = ic + iink |
|---|
| 708 | ja = 1 |
|---|
| 709 | jb = ja + (2*m-la)*inc2 |
|---|
| 710 | jc = jb + 2*m*inc2 |
|---|
| 711 | jd = jb |
|---|
| 712 | |
|---|
| 713 | IF (la==m) GO TO 90 |
|---|
| 714 | |
|---|
| 715 | DO l = 1, la |
|---|
| 716 | i = ibase |
|---|
| 717 | j = jbase |
|---|
| 718 | !DIR$ IVDEP |
|---|
| 719 | !CDIR NODEP |
|---|
| 720 | !OCL NOVREC |
|---|
| 721 | DO ijk = 1, lot |
|---|
| 722 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
|---|
| 723 | c(jc+j) = (a(ia+i)+a(ic+i)) - (a(ib+i)+a(id+i)) |
|---|
| 724 | c(jb+j) = a(ia+i) - a(ic+i) |
|---|
| 725 | d(jb+j) = a(id+i) - a(ib+i) |
|---|
| 726 | i = i + inc3 |
|---|
| 727 | j = j + inc4 |
|---|
| 728 | END DO |
|---|
| 729 | ibase = ibase + inc1 |
|---|
| 730 | jbase = jbase + inc2 |
|---|
| 731 | END DO |
|---|
| 732 | ja = ja + jink |
|---|
| 733 | jink = 2*jink |
|---|
| 734 | jb = jb + jink |
|---|
| 735 | jc = jc - jink |
|---|
| 736 | jd = jd - jink |
|---|
| 737 | ibase = ibase + ijump |
|---|
| 738 | ijump = 2*ijump + iink |
|---|
| 739 | IF (jb==jc) GO TO 80 |
|---|
| 740 | DO k = la, kstop, la |
|---|
| 741 | kb = k + k |
|---|
| 742 | kc = kb + kb |
|---|
| 743 | kd = kc + kb |
|---|
| 744 | c1 = trigs(kb+1) |
|---|
| 745 | s1 = trigs(kb+2) |
|---|
| 746 | c2 = trigs(kc+1) |
|---|
| 747 | s2 = trigs(kc+2) |
|---|
| 748 | c3 = trigs(kd+1) |
|---|
| 749 | s3 = trigs(kd+2) |
|---|
| 750 | jbase = 0 |
|---|
| 751 | DO l = 1, la |
|---|
| 752 | i = ibase |
|---|
| 753 | j = jbase |
|---|
| 754 | !DIR$ IVDEP |
|---|
| 755 | !CDIR NODEP |
|---|
| 756 | !OCL NOVREC |
|---|
| 757 | DO ijk = 1, lot |
|---|
| 758 | a0 = a(ia+i) + (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 759 | a2 = a(ia+i) - (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 760 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c3*a(id+i)+s3*b(id+i)) |
|---|
| 761 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c3*a(id+i)+s3*b(id+i)) |
|---|
| 762 | b0 = b(ia+i) + (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 763 | b2 = b(ia+i) - (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 764 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c3*b(id+i)-s3*a(id+i)) |
|---|
| 765 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c3*b(id+i)-s3*a(id+i)) |
|---|
| 766 | c(ja+j) = a0 + a1 |
|---|
| 767 | c(jc+j) = a0 - a1 |
|---|
| 768 | d(ja+j) = b0 + b1 |
|---|
| 769 | d(jc+j) = b1 - b0 |
|---|
| 770 | c(jb+j) = a2 + b3 |
|---|
| 771 | c(jd+j) = a2 - b3 |
|---|
| 772 | d(jb+j) = b2 - a3 |
|---|
| 773 | d(jd+j) = -(b2+a3) |
|---|
| 774 | i = i + inc3 |
|---|
| 775 | j = j + inc4 |
|---|
| 776 | END DO |
|---|
| 777 | ibase = ibase + inc1 |
|---|
| 778 | jbase = jbase + inc2 |
|---|
| 779 | END DO |
|---|
| 780 | ibase = ibase + ijump |
|---|
| 781 | ja = ja + jink |
|---|
| 782 | jb = jb + jink |
|---|
| 783 | jc = jc - jink |
|---|
| 784 | jd = jd - jink |
|---|
| 785 | END DO |
|---|
| 786 | IF (jb>jc) GO TO 170 |
|---|
| 787 | 80 CONTINUE |
|---|
| 788 | sin45 = SQRT(0.5_wp) |
|---|
| 789 | jbase = 0 |
|---|
| 790 | DO l = 1, la |
|---|
| 791 | i = ibase |
|---|
| 792 | j = jbase |
|---|
| 793 | !DIR$ IVDEP |
|---|
| 794 | !CDIR NODEP |
|---|
| 795 | !OCL NOVREC |
|---|
| 796 | DO ijk = 1, lot |
|---|
| 797 | c(ja+j) = a(ia+i) + sin45*(a(ib+i)-a(id+i)) |
|---|
| 798 | c(jb+j) = a(ia+i) - sin45*(a(ib+i)-a(id+i)) |
|---|
| 799 | d(ja+j) = -a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
|---|
| 800 | d(jb+j) = a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
|---|
| 801 | i = i + inc3 |
|---|
| 802 | j = j + inc4 |
|---|
| 803 | END DO |
|---|
| 804 | ibase = ibase + inc1 |
|---|
| 805 | jbase = jbase + inc2 |
|---|
| 806 | END DO |
|---|
| 807 | |
|---|
| 808 | GO TO 170 |
|---|
| 809 | 90 CONTINUE |
|---|
| 810 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 811 | DO l = 1, la |
|---|
| 812 | i = ibase |
|---|
| 813 | j = jbase |
|---|
| 814 | !DIR$ IVDEP |
|---|
| 815 | !CDIR NODEP |
|---|
| 816 | !OCL NOVREC |
|---|
| 817 | DO ijk = 1, lot |
|---|
| 818 | c(ja+j) = z*((a(ia+i)+a(ic+i))+(a(ib+i)+a(id+i))) |
|---|
| 819 | c(jc+j) = z*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) |
|---|
| 820 | c(jb+j) = z*(a(ia+i)-a(ic+i)) |
|---|
| 821 | d(jb+j) = z*(a(id+i)-a(ib+i)) |
|---|
| 822 | i = i + inc3 |
|---|
| 823 | j = j + inc4 |
|---|
| 824 | END DO |
|---|
| 825 | ibase = ibase + inc1 |
|---|
| 826 | jbase = jbase + inc2 |
|---|
| 827 | END DO |
|---|
| 828 | GO TO 170 |
|---|
| 829 | |
|---|
| 830 | ! Coding for factor 5 |
|---|
| 831 | |
|---|
| 832 | 100 CONTINUE |
|---|
| 833 | ia = 1 |
|---|
| 834 | ib = ia + iink |
|---|
| 835 | ic = ib + iink |
|---|
| 836 | id = ic + iink |
|---|
| 837 | ie = id + iink |
|---|
| 838 | ja = 1 |
|---|
| 839 | jb = ja + (2*m-la)*inc2 |
|---|
| 840 | jc = jb + 2*m*inc2 |
|---|
| 841 | jd = jc |
|---|
| 842 | je = jb |
|---|
| 843 | |
|---|
| 844 | IF (la==m) GO TO 120 |
|---|
| 845 | |
|---|
| 846 | DO l = 1, la |
|---|
| 847 | i = ibase |
|---|
| 848 | j = jbase |
|---|
| 849 | !DIR$ IVDEP |
|---|
| 850 | !CDIR NODEP |
|---|
| 851 | !OCL NOVREC |
|---|
| 852 | DO ijk = 1, lot |
|---|
| 853 | a1 = a(ib+i) + a(ie+i) |
|---|
| 854 | a3 = a(ib+i) - a(ie+i) |
|---|
| 855 | a2 = a(ic+i) + a(id+i) |
|---|
| 856 | a4 = a(ic+i) - a(id+i) |
|---|
| 857 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
|---|
| 858 | a6 = qrt5*(a1-a2) |
|---|
| 859 | c(ja+j) = a(ia+i) + (a1+a2) |
|---|
| 860 | c(jb+j) = a5 + a6 |
|---|
| 861 | c(jc+j) = a5 - a6 |
|---|
| 862 | d(jb+j) = -sin72*a3 - sin36*a4 |
|---|
| 863 | d(jc+j) = -sin36*a3 + sin72*a4 |
|---|
| 864 | i = i + inc3 |
|---|
| 865 | j = j + inc4 |
|---|
| 866 | END DO |
|---|
| 867 | ibase = ibase + inc1 |
|---|
| 868 | jbase = jbase + inc2 |
|---|
| 869 | END DO |
|---|
| 870 | ja = ja + jink |
|---|
| 871 | jink = 2*jink |
|---|
| 872 | jb = jb + jink |
|---|
| 873 | jc = jc + jink |
|---|
| 874 | jd = jd - jink |
|---|
| 875 | je = je - jink |
|---|
| 876 | ibase = ibase + ijump |
|---|
| 877 | ijump = 2*ijump + iink |
|---|
| 878 | IF (jb==jd) GO TO 110 |
|---|
| 879 | DO k = la, kstop, la |
|---|
| 880 | kb = k + k |
|---|
| 881 | kc = kb + kb |
|---|
| 882 | kd = kc + kb |
|---|
| 883 | ke = kd + kb |
|---|
| 884 | c1 = trigs(kb+1) |
|---|
| 885 | s1 = trigs(kb+2) |
|---|
| 886 | c2 = trigs(kc+1) |
|---|
| 887 | s2 = trigs(kc+2) |
|---|
| 888 | c3 = trigs(kd+1) |
|---|
| 889 | s3 = trigs(kd+2) |
|---|
| 890 | c4 = trigs(ke+1) |
|---|
| 891 | s4 = trigs(ke+2) |
|---|
| 892 | jbase = 0 |
|---|
| 893 | DO l = 1, la |
|---|
| 894 | i = ibase |
|---|
| 895 | j = jbase |
|---|
| 896 | !DIR$ IVDEP |
|---|
| 897 | !CDIR NODEP |
|---|
| 898 | !OCL NOVREC |
|---|
| 899 | DO ijk = 1, lot |
|---|
| 900 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c4*a(ie+i)+s4*b(ie+i)) |
|---|
| 901 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c4*a(ie+i)+s4*b(ie+i)) |
|---|
| 902 | a2 = (c2*a(ic+i)+s2*b(ic+i)) + (c3*a(id+i)+s3*b(id+i)) |
|---|
| 903 | a4 = (c2*a(ic+i)+s2*b(ic+i)) - (c3*a(id+i)+s3*b(id+i)) |
|---|
| 904 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c4*b(ie+i)-s4*a(ie+i)) |
|---|
| 905 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c4*b(ie+i)-s4*a(ie+i)) |
|---|
| 906 | b2 = (c2*b(ic+i)-s2*a(ic+i)) + (c3*b(id+i)-s3*a(id+i)) |
|---|
| 907 | b4 = (c2*b(ic+i)-s2*a(ic+i)) - (c3*b(id+i)-s3*a(id+i)) |
|---|
| 908 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
|---|
| 909 | a6 = qrt5*(a1-a2) |
|---|
| 910 | b5 = b(ia+i) - 0.25_wp*(b1+b2) |
|---|
| 911 | b6 = qrt5*(b1-b2) |
|---|
| 912 | a10 = a5 + a6 |
|---|
| 913 | a20 = a5 - a6 |
|---|
| 914 | b10 = b5 + b6 |
|---|
| 915 | b20 = b5 - b6 |
|---|
| 916 | a11 = sin72*b3 + sin36*b4 |
|---|
| 917 | a21 = sin36*b3 - sin72*b4 |
|---|
| 918 | b11 = sin72*a3 + sin36*a4 |
|---|
| 919 | b21 = sin36*a3 - sin72*a4 |
|---|
| 920 | c(ja+j) = a(ia+i) + (a1+a2) |
|---|
| 921 | c(jb+j) = a10 + a11 |
|---|
| 922 | c(je+j) = a10 - a11 |
|---|
| 923 | c(jc+j) = a20 + a21 |
|---|
| 924 | c(jd+j) = a20 - a21 |
|---|
| 925 | d(ja+j) = b(ia+i) + (b1+b2) |
|---|
| 926 | d(jb+j) = b10 - b11 |
|---|
| 927 | d(je+j) = -(b10+b11) |
|---|
| 928 | d(jc+j) = b20 - b21 |
|---|
| 929 | d(jd+j) = -(b20+b21) |
|---|
| 930 | i = i + inc3 |
|---|
| 931 | j = j + inc4 |
|---|
| 932 | END DO |
|---|
| 933 | ibase = ibase + inc1 |
|---|
| 934 | jbase = jbase + inc2 |
|---|
| 935 | END DO |
|---|
| 936 | ibase = ibase + ijump |
|---|
| 937 | ja = ja + jink |
|---|
| 938 | jb = jb + jink |
|---|
| 939 | jc = jc + jink |
|---|
| 940 | jd = jd - jink |
|---|
| 941 | je = je - jink |
|---|
| 942 | END DO |
|---|
| 943 | IF (jb>jd) GO TO 170 |
|---|
| 944 | 110 CONTINUE |
|---|
| 945 | jbase = 0 |
|---|
| 946 | DO l = 1, la |
|---|
| 947 | i = ibase |
|---|
| 948 | j = jbase |
|---|
| 949 | !DIR$ IVDEP |
|---|
| 950 | !CDIR NODEP |
|---|
| 951 | !OCL NOVREC |
|---|
| 952 | DO ijk = 1, lot |
|---|
| 953 | a1 = a(ib+i) + a(ie+i) |
|---|
| 954 | a3 = a(ib+i) - a(ie+i) |
|---|
| 955 | a2 = a(ic+i) + a(id+i) |
|---|
| 956 | a4 = a(ic+i) - a(id+i) |
|---|
| 957 | a5 = a(ia+i) + 0.25_wp*(a3-a4) |
|---|
| 958 | a6 = qrt5*(a3+a4) |
|---|
| 959 | c(ja+j) = a5 + a6 |
|---|
| 960 | c(jb+j) = a5 - a6 |
|---|
| 961 | c(jc+j) = a(ia+i) - (a3-a4) |
|---|
| 962 | d(ja+j) = -sin36*a1 - sin72*a2 |
|---|
| 963 | d(jb+j) = -sin72*a1 + sin36*a2 |
|---|
| 964 | i = i + inc3 |
|---|
| 965 | j = j + inc4 |
|---|
| 966 | END DO |
|---|
| 967 | ibase = ibase + inc1 |
|---|
| 968 | jbase = jbase + inc2 |
|---|
| 969 | END DO |
|---|
| 970 | |
|---|
| 971 | GO TO 170 |
|---|
| 972 | 120 CONTINUE |
|---|
| 973 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 974 | zqrt5 = z*qrt5 |
|---|
| 975 | zsin36 = z*sin36 |
|---|
| 976 | zsin72 = z*sin72 |
|---|
| 977 | DO l = 1, la |
|---|
| 978 | i = ibase |
|---|
| 979 | j = jbase |
|---|
| 980 | !DIR$ IVDEP |
|---|
| 981 | !CDIR NODEP |
|---|
| 982 | !OCL NOVREC |
|---|
| 983 | DO ijk = 1, lot |
|---|
| 984 | a1 = a(ib+i) + a(ie+i) |
|---|
| 985 | a3 = a(ib+i) - a(ie+i) |
|---|
| 986 | a2 = a(ic+i) + a(id+i) |
|---|
| 987 | a4 = a(ic+i) - a(id+i) |
|---|
| 988 | a5 = z*(a(ia+i)-0.25_wp*(a1+a2)) |
|---|
| 989 | a6 = zqrt5*(a1-a2) |
|---|
| 990 | c(ja+j) = z*(a(ia+i)+(a1+a2)) |
|---|
| 991 | c(jb+j) = a5 + a6 |
|---|
| 992 | c(jc+j) = a5 - a6 |
|---|
| 993 | d(jb+j) = -zsin72*a3 - zsin36*a4 |
|---|
| 994 | d(jc+j) = -zsin36*a3 + zsin72*a4 |
|---|
| 995 | i = i + inc3 |
|---|
| 996 | j = j + inc4 |
|---|
| 997 | END DO |
|---|
| 998 | ibase = ibase + inc1 |
|---|
| 999 | jbase = jbase + inc2 |
|---|
| 1000 | END DO |
|---|
| 1001 | GO TO 170 |
|---|
| 1002 | |
|---|
| 1003 | ! Coding for factor 6 |
|---|
| 1004 | |
|---|
| 1005 | 130 CONTINUE |
|---|
| 1006 | ia = 1 |
|---|
| 1007 | ib = ia + iink |
|---|
| 1008 | ic = ib + iink |
|---|
| 1009 | id = ic + iink |
|---|
| 1010 | ie = id + iink |
|---|
| 1011 | if = ie + iink |
|---|
| 1012 | ja = 1 |
|---|
| 1013 | jb = ja + (2*m-la)*inc2 |
|---|
| 1014 | jc = jb + 2*m*inc2 |
|---|
| 1015 | jd = jc + 2*m*inc2 |
|---|
| 1016 | je = jc |
|---|
| 1017 | jf = jb |
|---|
| 1018 | |
|---|
| 1019 | IF (la==m) GO TO 150 |
|---|
| 1020 | |
|---|
| 1021 | DO l = 1, la |
|---|
| 1022 | i = ibase |
|---|
| 1023 | j = jbase |
|---|
| 1024 | !DIR$ IVDEP |
|---|
| 1025 | !CDIR NODEP |
|---|
| 1026 | !OCL NOVREC |
|---|
| 1027 | DO ijk = 1, lot |
|---|
| 1028 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
|---|
| 1029 | c(ja+j) = (a(ia+i)+a(id+i)) + a11 |
|---|
| 1030 | c(jc+j) = (a(ia+i)+a(id+i)-0.5_wp*a11) |
|---|
| 1031 | d(jc+j) = sin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
|---|
| 1032 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
|---|
| 1033 | c(jb+j) = (a(ia+i)-a(id+i)) - 0.5_wp*a11 |
|---|
| 1034 | d(jb+j) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1035 | c(jd+j) = (a(ia+i)-a(id+i)) + a11 |
|---|
| 1036 | i = i + inc3 |
|---|
| 1037 | j = j + inc4 |
|---|
| 1038 | END DO |
|---|
| 1039 | ibase = ibase + inc1 |
|---|
| 1040 | jbase = jbase + inc2 |
|---|
| 1041 | END DO |
|---|
| 1042 | ja = ja + jink |
|---|
| 1043 | jink = 2*jink |
|---|
| 1044 | jb = jb + jink |
|---|
| 1045 | jc = jc + jink |
|---|
| 1046 | jd = jd - jink |
|---|
| 1047 | je = je - jink |
|---|
| 1048 | jf = jf - jink |
|---|
| 1049 | ibase = ibase + ijump |
|---|
| 1050 | ijump = 2*ijump + iink |
|---|
| 1051 | IF (jc==jd) GO TO 140 |
|---|
| 1052 | DO k = la, kstop, la |
|---|
| 1053 | kb = k + k |
|---|
| 1054 | kc = kb + kb |
|---|
| 1055 | kd = kc + kb |
|---|
| 1056 | ke = kd + kb |
|---|
| 1057 | kf = ke + kb |
|---|
| 1058 | c1 = trigs(kb+1) |
|---|
| 1059 | s1 = trigs(kb+2) |
|---|
| 1060 | c2 = trigs(kc+1) |
|---|
| 1061 | s2 = trigs(kc+2) |
|---|
| 1062 | c3 = trigs(kd+1) |
|---|
| 1063 | s3 = trigs(kd+2) |
|---|
| 1064 | c4 = trigs(ke+1) |
|---|
| 1065 | s4 = trigs(ke+2) |
|---|
| 1066 | c5 = trigs(kf+1) |
|---|
| 1067 | s5 = trigs(kf+2) |
|---|
| 1068 | jbase = 0 |
|---|
| 1069 | DO l = 1, la |
|---|
| 1070 | i = ibase |
|---|
| 1071 | j = jbase |
|---|
| 1072 | !DIR$ IVDEP |
|---|
| 1073 | !CDIR NODEP |
|---|
| 1074 | !OCL NOVREC |
|---|
| 1075 | DO ijk = 1, lot |
|---|
| 1076 | a1 = c1*a(ib+i) + s1*b(ib+i) |
|---|
| 1077 | b1 = c1*b(ib+i) - s1*a(ib+i) |
|---|
| 1078 | a2 = c2*a(ic+i) + s2*b(ic+i) |
|---|
| 1079 | b2 = c2*b(ic+i) - s2*a(ic+i) |
|---|
| 1080 | a3 = c3*a(id+i) + s3*b(id+i) |
|---|
| 1081 | b3 = c3*b(id+i) - s3*a(id+i) |
|---|
| 1082 | a4 = c4*a(ie+i) + s4*b(ie+i) |
|---|
| 1083 | b4 = c4*b(ie+i) - s4*a(ie+i) |
|---|
| 1084 | a5 = c5*a(if+i) + s5*b(if+i) |
|---|
| 1085 | b5 = c5*b(if+i) - s5*a(if+i) |
|---|
| 1086 | a11 = (a2+a5) + (a1+a4) |
|---|
| 1087 | a20 = (a(ia+i)+a3) - 0.5_wp*a11 |
|---|
| 1088 | a21 = sin60*((a2+a5)-(a1+a4)) |
|---|
| 1089 | b11 = (b2+b5) + (b1+b4) |
|---|
| 1090 | b20 = (b(ia+i)+b3) - 0.5_wp*b11 |
|---|
| 1091 | b21 = sin60*((b2+b5)-(b1+b4)) |
|---|
| 1092 | c(ja+j) = (a(ia+i)+a3) + a11 |
|---|
| 1093 | d(ja+j) = (b(ia+i)+b3) + b11 |
|---|
| 1094 | c(jc+j) = a20 - b21 |
|---|
| 1095 | d(jc+j) = a21 + b20 |
|---|
| 1096 | c(je+j) = a20 + b21 |
|---|
| 1097 | d(je+j) = a21 - b20 |
|---|
| 1098 | a11 = (a2-a5) + (a4-a1) |
|---|
| 1099 | a20 = (a(ia+i)-a3) - 0.5_wp*a11 |
|---|
| 1100 | a21 = sin60*((a4-a1)-(a2-a5)) |
|---|
| 1101 | b11 = (b5-b2) - (b4-b1) |
|---|
| 1102 | b20 = (b3-b(ia+i)) - 0.5_wp*b11 |
|---|
| 1103 | b21 = sin60*((b5-b2)+(b4-b1)) |
|---|
| 1104 | c(jb+j) = a20 - b21 |
|---|
| 1105 | d(jb+j) = a21 - b20 |
|---|
| 1106 | c(jd+j) = a11 + (a(ia+i)-a3) |
|---|
| 1107 | d(jd+j) = b11 + (b3-b(ia+i)) |
|---|
| 1108 | c(jf+j) = a20 + b21 |
|---|
| 1109 | d(jf+j) = a21 + b20 |
|---|
| 1110 | i = i + inc3 |
|---|
| 1111 | j = j + inc4 |
|---|
| 1112 | END DO |
|---|
| 1113 | ibase = ibase + inc1 |
|---|
| 1114 | jbase = jbase + inc2 |
|---|
| 1115 | END DO |
|---|
| 1116 | ibase = ibase + ijump |
|---|
| 1117 | ja = ja + jink |
|---|
| 1118 | jb = jb + jink |
|---|
| 1119 | jc = jc + jink |
|---|
| 1120 | jd = jd - jink |
|---|
| 1121 | je = je - jink |
|---|
| 1122 | jf = jf - jink |
|---|
| 1123 | END DO |
|---|
| 1124 | IF (jc>jd) GO TO 170 |
|---|
| 1125 | 140 CONTINUE |
|---|
| 1126 | jbase = 0 |
|---|
| 1127 | DO l = 1, la |
|---|
| 1128 | i = ibase |
|---|
| 1129 | j = jbase |
|---|
| 1130 | !DIR$ IVDEP |
|---|
| 1131 | !CDIR NODEP |
|---|
| 1132 | !OCL NOVREC |
|---|
| 1133 | DO ijk = 1, lot |
|---|
| 1134 | c(ja+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) + sin60*(a(ib+i)-a(if+i)) |
|---|
| 1135 | d(ja+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) - sin60*(a(ic+i)+a(ie+i)) |
|---|
| 1136 | c(jb+j) = a(ia+i) - (a(ic+i)-a(ie+i)) |
|---|
| 1137 | d(jb+j) = a(id+i) - (a(ib+i)+a(if+i)) |
|---|
| 1138 | c(jc+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) - sin60*(a(ib+i)-a(if+i)) |
|---|
| 1139 | d(jc+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) + sin60*(a(ic+i)+a(ie+i)) |
|---|
| 1140 | i = i + inc3 |
|---|
| 1141 | j = j + inc4 |
|---|
| 1142 | END DO |
|---|
| 1143 | ibase = ibase + inc1 |
|---|
| 1144 | jbase = jbase + inc2 |
|---|
| 1145 | END DO |
|---|
| 1146 | |
|---|
| 1147 | GO TO 170 |
|---|
| 1148 | 150 CONTINUE |
|---|
| 1149 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 1150 | zsin60 = z*sin60 |
|---|
| 1151 | DO l = 1, la |
|---|
| 1152 | i = ibase |
|---|
| 1153 | j = jbase |
|---|
| 1154 | !DIR$ IVDEP |
|---|
| 1155 | !CDIR NODEP |
|---|
| 1156 | !OCL NOVREC |
|---|
| 1157 | DO ijk = 1, lot |
|---|
| 1158 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
|---|
| 1159 | c(ja+j) = z*((a(ia+i)+a(id+i))+a11) |
|---|
| 1160 | c(jc+j) = z*((a(ia+i)+a(id+i))-0.5_wp*a11) |
|---|
| 1161 | d(jc+j) = zsin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
|---|
| 1162 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
|---|
| 1163 | c(jb+j) = z*((a(ia+i)-a(id+i))-0.5_wp*a11) |
|---|
| 1164 | d(jb+j) = zsin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1165 | c(jd+j) = z*((a(ia+i)-a(id+i))+a11) |
|---|
| 1166 | i = i + inc3 |
|---|
| 1167 | j = j + inc4 |
|---|
| 1168 | END DO |
|---|
| 1169 | ibase = ibase + inc1 |
|---|
| 1170 | jbase = jbase + inc2 |
|---|
| 1171 | END DO |
|---|
| 1172 | GO TO 170 |
|---|
| 1173 | |
|---|
| 1174 | ! Coding for factor 8 |
|---|
| 1175 | |
|---|
| 1176 | 160 CONTINUE |
|---|
| 1177 | ibad = 3 |
|---|
| 1178 | IF (la/=m) GO TO 180 |
|---|
| 1179 | ia = 1 |
|---|
| 1180 | ib = ia + iink |
|---|
| 1181 | ic = ib + iink |
|---|
| 1182 | id = ic + iink |
|---|
| 1183 | ie = id + iink |
|---|
| 1184 | if = ie + iink |
|---|
| 1185 | ig = if + iink |
|---|
| 1186 | ih = ig + iink |
|---|
| 1187 | ja = 1 |
|---|
| 1188 | jb = ja + la*inc2 |
|---|
| 1189 | jc = jb + 2*m*inc2 |
|---|
| 1190 | jd = jc + 2*m*inc2 |
|---|
| 1191 | je = jd + 2*m*inc2 |
|---|
| 1192 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 1193 | zsin45 = z*SQRT(0.5_wp) |
|---|
| 1194 | |
|---|
| 1195 | DO l = 1, la |
|---|
| 1196 | i = ibase |
|---|
| 1197 | j = jbase |
|---|
| 1198 | !DIR$ IVDEP |
|---|
| 1199 | !CDIR NODEP |
|---|
| 1200 | !OCL NOVREC |
|---|
| 1201 | DO ijk = 1, lot |
|---|
| 1202 | c(ja+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))+((a(id+i)+ & |
|---|
| 1203 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
|---|
| 1204 | c(je+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))-((a(id+i)+ & |
|---|
| 1205 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
|---|
| 1206 | c(jc+j) = z*((a(ia+i)+a(ie+i))-(a(ic+i)+a(ig+i))) |
|---|
| 1207 | d(jc+j) = z*((a(id+i)+a(ih+i))-(a(ib+i)+a(if+i))) |
|---|
| 1208 | c(jb+j) = z*(a(ia+i)-a(ie+i)) + zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
|---|
| 1209 | & i)-a(ib+i))) |
|---|
| 1210 | c(jd+j) = z*(a(ia+i)-a(ie+i)) - zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
|---|
| 1211 | & i)-a(ib+i))) |
|---|
| 1212 | d(jb+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) + & |
|---|
| 1213 | & z*(a(ig+i)-a(ic+i)) |
|---|
| 1214 | d(jd+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) - & |
|---|
| 1215 | & z*(a(ig+i)-a(ic+i)) |
|---|
| 1216 | i = i + inc3 |
|---|
| 1217 | j = j + inc4 |
|---|
| 1218 | END DO |
|---|
| 1219 | ibase = ibase + inc1 |
|---|
| 1220 | jbase = jbase + inc2 |
|---|
| 1221 | END DO |
|---|
| 1222 | |
|---|
| 1223 | ! Return |
|---|
| 1224 | |
|---|
| 1225 | 170 CONTINUE |
|---|
| 1226 | ibad = 0 |
|---|
| 1227 | 180 CONTINUE |
|---|
| 1228 | ierr = ibad |
|---|
| 1229 | RETURN |
|---|
| 1230 | END SUBROUTINE qpassm |
|---|
| 1231 | |
|---|
| 1232 | !------------------------------------------------------------------------------! |
|---|
| 1233 | ! Description: |
|---|
| 1234 | ! ------------ |
|---|
| 1235 | !> @todo Missing subroutine description. |
|---|
| 1236 | !------------------------------------------------------------------------------! |
|---|
| 1237 | SUBROUTINE rpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
|---|
| 1238 | ! Dimension a(n),b(n),c(n),d(n),trigs(n) |
|---|
| 1239 | |
|---|
| 1240 | USE kinds |
|---|
| 1241 | |
|---|
| 1242 | IMPLICIT NONE |
|---|
| 1243 | |
|---|
| 1244 | ! Scalar arguments |
|---|
| 1245 | INTEGER(iwp) :: ierr !< |
|---|
| 1246 | INTEGER(iwp) :: ifac !< |
|---|
| 1247 | INTEGER(iwp) :: inc1 !< |
|---|
| 1248 | INTEGER(iwp) :: inc2 !< |
|---|
| 1249 | INTEGER(iwp) :: inc3 !< |
|---|
| 1250 | INTEGER(iwp) :: inc4 !< |
|---|
| 1251 | INTEGER(iwp) :: la !< |
|---|
| 1252 | INTEGER(iwp) :: lot !< |
|---|
| 1253 | INTEGER(iwp) :: n !< |
|---|
| 1254 | |
|---|
| 1255 | ! Array arguments |
|---|
| 1256 | REAL(wp) :: a(*) !< |
|---|
| 1257 | REAL(wp) :: b(*) !< |
|---|
| 1258 | REAL(wp) :: c(*) !< |
|---|
| 1259 | REAL(wp) :: d(*) !< |
|---|
| 1260 | REAL(wp) :: trigs(*) !< |
|---|
| 1261 | |
|---|
| 1262 | ! Local scalars: |
|---|
| 1263 | REAL(wp) :: c1 !< |
|---|
| 1264 | REAL(wp) :: c2 !< |
|---|
| 1265 | REAL(wp) :: c3 !< |
|---|
| 1266 | REAL(wp) :: c4 !< |
|---|
| 1267 | REAL(wp) :: c5 !< |
|---|
| 1268 | REAL(wp) :: qqrt5 !< |
|---|
| 1269 | REAL(wp) :: qrt5 !< |
|---|
| 1270 | REAL(wp) :: s1 !< |
|---|
| 1271 | REAL(wp) :: s2 !< |
|---|
| 1272 | REAL(wp) :: s3 !< |
|---|
| 1273 | REAL(wp) :: s4 !< |
|---|
| 1274 | REAL(wp) :: s5 !< |
|---|
| 1275 | REAL(wp) :: sin36 !< |
|---|
| 1276 | REAL(wp) :: sin45 !< |
|---|
| 1277 | REAL(wp) :: sin60 !< |
|---|
| 1278 | REAL(wp) :: sin72 !< |
|---|
| 1279 | REAL(wp) :: ssin36 !< |
|---|
| 1280 | REAL(wp) :: ssin45 !< |
|---|
| 1281 | REAL(wp) :: ssin60 !< |
|---|
| 1282 | REAL(wp) :: ssin72 !< |
|---|
| 1283 | |
|---|
| 1284 | INTEGER(iwp) :: i !< |
|---|
| 1285 | INTEGER(iwp) :: ia !< |
|---|
| 1286 | INTEGER(iwp) :: ib !< |
|---|
| 1287 | INTEGER(iwp) :: ibad !< |
|---|
| 1288 | INTEGER(iwp) :: ibase !< |
|---|
| 1289 | INTEGER(iwp) :: ic !< |
|---|
| 1290 | INTEGER(iwp) :: id !< |
|---|
| 1291 | INTEGER(iwp) :: ie !< |
|---|
| 1292 | INTEGER(iwp) :: if !< |
|---|
| 1293 | INTEGER(iwp) :: igo !< |
|---|
| 1294 | INTEGER(iwp) :: iink !< |
|---|
| 1295 | INTEGER(iwp) :: ijk !< |
|---|
| 1296 | INTEGER(iwp) :: j !< |
|---|
| 1297 | INTEGER(iwp) :: ja !< |
|---|
| 1298 | INTEGER(iwp) :: jb !< |
|---|
| 1299 | INTEGER(iwp) :: jbase !< |
|---|
| 1300 | INTEGER(iwp) :: jc !< |
|---|
| 1301 | INTEGER(iwp) :: jd !< |
|---|
| 1302 | INTEGER(iwp) :: je !< |
|---|
| 1303 | INTEGER(iwp) :: jf !< |
|---|
| 1304 | INTEGER(iwp) :: jg !< |
|---|
| 1305 | INTEGER(iwp) :: jh !< |
|---|
| 1306 | INTEGER(iwp) :: jink !< |
|---|
| 1307 | INTEGER(iwp) :: jump !< |
|---|
| 1308 | INTEGER(iwp) :: k !< |
|---|
| 1309 | INTEGER(iwp) :: kb !< |
|---|
| 1310 | INTEGER(iwp) :: kc !< |
|---|
| 1311 | INTEGER(iwp) :: kd !< |
|---|
| 1312 | INTEGER(iwp) :: ke !< |
|---|
| 1313 | INTEGER(iwp) :: kf !< |
|---|
| 1314 | INTEGER(iwp) :: kstop !< |
|---|
| 1315 | INTEGER(iwp) :: l !< |
|---|
| 1316 | INTEGER(iwp) :: m !< |
|---|
| 1317 | |
|---|
| 1318 | ! Local arrays: |
|---|
| 1319 | REAL(wp) :: a10(nfft) !< |
|---|
| 1320 | REAL(wp) :: a11(nfft) !< |
|---|
| 1321 | REAL(wp) :: a20(nfft) !< |
|---|
| 1322 | REAL(wp) :: a21(nfft) !< |
|---|
| 1323 | REAL(wp) :: b10(nfft) !< |
|---|
| 1324 | REAL(wp) :: b11(nfft) !< |
|---|
| 1325 | REAL(wp) :: b20(nfft) !< |
|---|
| 1326 | REAL(wp) :: b21(nfft) !< |
|---|
| 1327 | |
|---|
| 1328 | ! Intrinsic functions |
|---|
| 1329 | ! INTRINSIC SQRT |
|---|
| 1330 | |
|---|
| 1331 | ! Data statements |
|---|
| 1332 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
|---|
| 1333 | & qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
|---|
| 1334 | |
|---|
| 1335 | |
|---|
| 1336 | ! Executable statements |
|---|
| 1337 | |
|---|
| 1338 | m = n/ifac |
|---|
| 1339 | iink = la*inc1 |
|---|
| 1340 | jink = la*inc2 |
|---|
| 1341 | jump = (ifac-1)*jink |
|---|
| 1342 | kstop = (n-ifac)/(2*ifac) |
|---|
| 1343 | |
|---|
| 1344 | ibad = 1 |
|---|
| 1345 | IF (lot>nfft) GO TO 180 |
|---|
| 1346 | ibase = 0 |
|---|
| 1347 | jbase = 0 |
|---|
| 1348 | igo = ifac - 1 |
|---|
| 1349 | IF (igo==7) igo = 6 |
|---|
| 1350 | ibad = 2 |
|---|
| 1351 | IF (igo<1 .OR. igo>6) GO TO 180 |
|---|
| 1352 | GO TO (10,40,70,100,130,160) igo |
|---|
| 1353 | |
|---|
| 1354 | ! Coding for factor 2 |
|---|
| 1355 | |
|---|
| 1356 | 10 CONTINUE |
|---|
| 1357 | ia = 1 |
|---|
| 1358 | ib = ia + (2*m-la)*inc1 |
|---|
| 1359 | ja = 1 |
|---|
| 1360 | jb = ja + jink |
|---|
| 1361 | |
|---|
| 1362 | IF (la==m) GO TO 30 |
|---|
| 1363 | |
|---|
| 1364 | DO l = 1, la |
|---|
| 1365 | i = ibase |
|---|
| 1366 | j = jbase |
|---|
| 1367 | !DIR$ IVDEP |
|---|
| 1368 | !CDIR NODEP |
|---|
| 1369 | !OCL NOVREC |
|---|
| 1370 | DO ijk = 1, lot |
|---|
| 1371 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1372 | c(jb+j) = a(ia+i) - a(ib+i) |
|---|
| 1373 | i = i + inc3 |
|---|
| 1374 | j = j + inc4 |
|---|
| 1375 | END DO |
|---|
| 1376 | ibase = ibase + inc1 |
|---|
| 1377 | jbase = jbase + inc2 |
|---|
| 1378 | END DO |
|---|
| 1379 | ia = ia + iink |
|---|
| 1380 | iink = 2*iink |
|---|
| 1381 | ib = ib - iink |
|---|
| 1382 | ibase = 0 |
|---|
| 1383 | jbase = jbase + jump |
|---|
| 1384 | jump = 2*jump + jink |
|---|
| 1385 | IF (ia==ib) GO TO 20 |
|---|
| 1386 | DO k = la, kstop, la |
|---|
| 1387 | kb = k + k |
|---|
| 1388 | c1 = trigs(kb+1) |
|---|
| 1389 | s1 = trigs(kb+2) |
|---|
| 1390 | ibase = 0 |
|---|
| 1391 | DO l = 1, la |
|---|
| 1392 | i = ibase |
|---|
| 1393 | j = jbase |
|---|
| 1394 | !DIR$ IVDEP |
|---|
| 1395 | !CDIR NODEP |
|---|
| 1396 | !OCL NOVREC |
|---|
| 1397 | DO ijk = 1, lot |
|---|
| 1398 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1399 | d(ja+j) = b(ia+i) - b(ib+i) |
|---|
| 1400 | c(jb+j) = c1*(a(ia+i)-a(ib+i)) - s1*(b(ia+i)+b(ib+i)) |
|---|
| 1401 | d(jb+j) = s1*(a(ia+i)-a(ib+i)) + c1*(b(ia+i)+b(ib+i)) |
|---|
| 1402 | i = i + inc3 |
|---|
| 1403 | j = j + inc4 |
|---|
| 1404 | END DO |
|---|
| 1405 | ibase = ibase + inc1 |
|---|
| 1406 | jbase = jbase + inc2 |
|---|
| 1407 | END DO |
|---|
| 1408 | ia = ia + iink |
|---|
| 1409 | ib = ib - iink |
|---|
| 1410 | jbase = jbase + jump |
|---|
| 1411 | END DO |
|---|
| 1412 | IF (ia>ib) GO TO 170 |
|---|
| 1413 | 20 CONTINUE |
|---|
| 1414 | ibase = 0 |
|---|
| 1415 | DO l = 1, la |
|---|
| 1416 | i = ibase |
|---|
| 1417 | j = jbase |
|---|
| 1418 | !DIR$ IVDEP |
|---|
| 1419 | !CDIR NODEP |
|---|
| 1420 | !OCL NOVREC |
|---|
| 1421 | DO ijk = 1, lot |
|---|
| 1422 | c(ja+j) = a(ia+i) |
|---|
| 1423 | c(jb+j) = -b(ia+i) |
|---|
| 1424 | i = i + inc3 |
|---|
| 1425 | j = j + inc4 |
|---|
| 1426 | END DO |
|---|
| 1427 | ibase = ibase + inc1 |
|---|
| 1428 | jbase = jbase + inc2 |
|---|
| 1429 | END DO |
|---|
| 1430 | |
|---|
| 1431 | GO TO 170 |
|---|
| 1432 | 30 CONTINUE |
|---|
| 1433 | DO l = 1, la |
|---|
| 1434 | i = ibase |
|---|
| 1435 | j = jbase |
|---|
| 1436 | !DIR$ IVDEP |
|---|
| 1437 | !CDIR NODEP |
|---|
| 1438 | !OCL NOVREC |
|---|
| 1439 | DO ijk = 1, lot |
|---|
| 1440 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
|---|
| 1441 | c(jb+j) = 2.0_wp*(a(ia+i)-a(ib+i)) |
|---|
| 1442 | i = i + inc3 |
|---|
| 1443 | j = j + inc4 |
|---|
| 1444 | END DO |
|---|
| 1445 | ibase = ibase + inc1 |
|---|
| 1446 | jbase = jbase + inc2 |
|---|
| 1447 | END DO |
|---|
| 1448 | GO TO 170 |
|---|
| 1449 | |
|---|
| 1450 | ! Coding for factor 3 |
|---|
| 1451 | |
|---|
| 1452 | 40 CONTINUE |
|---|
| 1453 | ia = 1 |
|---|
| 1454 | ib = ia + (2*m-la)*inc1 |
|---|
| 1455 | ic = ib |
|---|
| 1456 | ja = 1 |
|---|
| 1457 | jb = ja + jink |
|---|
| 1458 | jc = jb + jink |
|---|
| 1459 | |
|---|
| 1460 | IF (la==m) GO TO 60 |
|---|
| 1461 | |
|---|
| 1462 | DO l = 1, la |
|---|
| 1463 | i = ibase |
|---|
| 1464 | j = jbase |
|---|
| 1465 | !DIR$ IVDEP |
|---|
| 1466 | !CDIR NODEP |
|---|
| 1467 | !OCL NOVREC |
|---|
| 1468 | DO ijk = 1, lot |
|---|
| 1469 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1470 | c(jb+j) = (a(ia+i)-0.5_wp*a(ib+i)) - (sin60*(b(ib+i))) |
|---|
| 1471 | c(jc+j) = (a(ia+i)-0.5_wp*a(ib+i)) + (sin60*(b(ib+i))) |
|---|
| 1472 | i = i + inc3 |
|---|
| 1473 | j = j + inc4 |
|---|
| 1474 | END DO |
|---|
| 1475 | ibase = ibase + inc1 |
|---|
| 1476 | jbase = jbase + inc2 |
|---|
| 1477 | END DO |
|---|
| 1478 | ia = ia + iink |
|---|
| 1479 | iink = 2*iink |
|---|
| 1480 | ib = ib + iink |
|---|
| 1481 | ic = ic - iink |
|---|
| 1482 | jbase = jbase + jump |
|---|
| 1483 | jump = 2*jump + jink |
|---|
| 1484 | IF (ia==ic) GO TO 50 |
|---|
| 1485 | DO k = la, kstop, la |
|---|
| 1486 | kb = k + k |
|---|
| 1487 | kc = kb + kb |
|---|
| 1488 | c1 = trigs(kb+1) |
|---|
| 1489 | s1 = trigs(kb+2) |
|---|
| 1490 | c2 = trigs(kc+1) |
|---|
| 1491 | s2 = trigs(kc+2) |
|---|
| 1492 | ibase = 0 |
|---|
| 1493 | DO l = 1, la |
|---|
| 1494 | i = ibase |
|---|
| 1495 | j = jbase |
|---|
| 1496 | !DIR$ IVDEP |
|---|
| 1497 | !CDIR NODEP |
|---|
| 1498 | !OCL NOVREC |
|---|
| 1499 | DO ijk = 1, lot |
|---|
| 1500 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
|---|
| 1501 | d(ja+j) = b(ia+i) + (b(ib+i)-b(ic+i)) |
|---|
| 1502 | c(jb+j) = c1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
|---|
| 1503 | & b(ic+i)))) & |
|---|
| 1504 | & - s1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
|---|
| 1505 | & a(ic+i)))) |
|---|
| 1506 | d(jb+j) = s1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
|---|
| 1507 | & b(ic+i)))) & |
|---|
| 1508 | & + c1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
|---|
| 1509 | & a(ic+i)))) |
|---|
| 1510 | c(jc+j) = c2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
|---|
| 1511 | & b(ic+i)))) & |
|---|
| 1512 | & - s2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
|---|
| 1513 | & a(ic+i)))) |
|---|
| 1514 | d(jc+j) = s2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
|---|
| 1515 | & b(ic+i)))) & |
|---|
| 1516 | & + c2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
|---|
| 1517 | & a(ic+i)))) |
|---|
| 1518 | i = i + inc3 |
|---|
| 1519 | j = j + inc4 |
|---|
| 1520 | END DO |
|---|
| 1521 | ibase = ibase + inc1 |
|---|
| 1522 | jbase = jbase + inc2 |
|---|
| 1523 | END DO |
|---|
| 1524 | ia = ia + iink |
|---|
| 1525 | ib = ib + iink |
|---|
| 1526 | ic = ic - iink |
|---|
| 1527 | jbase = jbase + jump |
|---|
| 1528 | END DO |
|---|
| 1529 | IF (ia>ic) GO TO 170 |
|---|
| 1530 | 50 CONTINUE |
|---|
| 1531 | ibase = 0 |
|---|
| 1532 | DO l = 1, la |
|---|
| 1533 | i = ibase |
|---|
| 1534 | j = jbase |
|---|
| 1535 | !DIR$ IVDEP |
|---|
| 1536 | !CDIR NODEP |
|---|
| 1537 | !OCL NOVREC |
|---|
| 1538 | DO ijk = 1, lot |
|---|
| 1539 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1540 | c(jb+j) = (0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
|---|
| 1541 | c(jc+j) = -(0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
|---|
| 1542 | i = i + inc3 |
|---|
| 1543 | j = j + inc4 |
|---|
| 1544 | END DO |
|---|
| 1545 | ibase = ibase + inc1 |
|---|
| 1546 | jbase = jbase + inc2 |
|---|
| 1547 | END DO |
|---|
| 1548 | |
|---|
| 1549 | GO TO 170 |
|---|
| 1550 | 60 CONTINUE |
|---|
| 1551 | ssin60 = 2.0_wp*sin60 |
|---|
| 1552 | DO l = 1, la |
|---|
| 1553 | i = ibase |
|---|
| 1554 | j = jbase |
|---|
| 1555 | !DIR$ IVDEP |
|---|
| 1556 | !CDIR NODEP |
|---|
| 1557 | !OCL NOVREC |
|---|
| 1558 | DO ijk = 1, lot |
|---|
| 1559 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
|---|
| 1560 | c(jb+j) = (2.0_wp*a(ia+i)-a(ib+i)) - (ssin60*b(ib+i)) |
|---|
| 1561 | c(jc+j) = (2.0_wp*a(ia+i)-a(ib+i)) + (ssin60*b(ib+i)) |
|---|
| 1562 | i = i + inc3 |
|---|
| 1563 | j = j + inc4 |
|---|
| 1564 | END DO |
|---|
| 1565 | ibase = ibase + inc1 |
|---|
| 1566 | jbase = jbase + inc2 |
|---|
| 1567 | END DO |
|---|
| 1568 | GO TO 170 |
|---|
| 1569 | |
|---|
| 1570 | ! Coding for factor 4 |
|---|
| 1571 | |
|---|
| 1572 | 70 CONTINUE |
|---|
| 1573 | ia = 1 |
|---|
| 1574 | ib = ia + (2*m-la)*inc1 |
|---|
| 1575 | ic = ib + 2*m*inc1 |
|---|
| 1576 | id = ib |
|---|
| 1577 | ja = 1 |
|---|
| 1578 | jb = ja + jink |
|---|
| 1579 | jc = jb + jink |
|---|
| 1580 | jd = jc + jink |
|---|
| 1581 | |
|---|
| 1582 | IF (la==m) GO TO 90 |
|---|
| 1583 | |
|---|
| 1584 | DO l = 1, la |
|---|
| 1585 | i = ibase |
|---|
| 1586 | j = jbase |
|---|
| 1587 | !DIR$ IVDEP |
|---|
| 1588 | !CDIR NODEP |
|---|
| 1589 | !OCL NOVREC |
|---|
| 1590 | DO ijk = 1, lot |
|---|
| 1591 | c(ja+j) = (a(ia+i)+a(ic+i)) + a(ib+i) |
|---|
| 1592 | c(jb+j) = (a(ia+i)-a(ic+i)) - b(ib+i) |
|---|
| 1593 | c(jc+j) = (a(ia+i)+a(ic+i)) - a(ib+i) |
|---|
| 1594 | c(jd+j) = (a(ia+i)-a(ic+i)) + b(ib+i) |
|---|
| 1595 | i = i + inc3 |
|---|
| 1596 | j = j + inc4 |
|---|
| 1597 | END DO |
|---|
| 1598 | ibase = ibase + inc1 |
|---|
| 1599 | jbase = jbase + inc2 |
|---|
| 1600 | END DO |
|---|
| 1601 | ia = ia + iink |
|---|
| 1602 | iink = 2*iink |
|---|
| 1603 | ib = ib + iink |
|---|
| 1604 | ic = ic - iink |
|---|
| 1605 | id = id - iink |
|---|
| 1606 | jbase = jbase + jump |
|---|
| 1607 | jump = 2*jump + jink |
|---|
| 1608 | IF (ib==ic) GO TO 80 |
|---|
| 1609 | DO k = la, kstop, la |
|---|
| 1610 | kb = k + k |
|---|
| 1611 | kc = kb + kb |
|---|
| 1612 | kd = kc + kb |
|---|
| 1613 | c1 = trigs(kb+1) |
|---|
| 1614 | s1 = trigs(kb+2) |
|---|
| 1615 | c2 = trigs(kc+1) |
|---|
| 1616 | s2 = trigs(kc+2) |
|---|
| 1617 | c3 = trigs(kd+1) |
|---|
| 1618 | s3 = trigs(kd+2) |
|---|
| 1619 | ibase = 0 |
|---|
| 1620 | DO l = 1, la |
|---|
| 1621 | i = ibase |
|---|
| 1622 | j = jbase |
|---|
| 1623 | !DIR$ IVDEP |
|---|
| 1624 | !CDIR NODEP |
|---|
| 1625 | !OCL NOVREC |
|---|
| 1626 | DO ijk = 1, lot |
|---|
| 1627 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
|---|
| 1628 | d(ja+j) = (b(ia+i)-b(ic+i)) + (b(ib+i)-b(id+i)) |
|---|
| 1629 | c(jc+j) = c2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) - s2*((b(ia+ & |
|---|
| 1630 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
|---|
| 1631 | d(jc+j) = s2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) + c2*((b(ia+ & |
|---|
| 1632 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
|---|
| 1633 | c(jb+j) = c1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) - s1*((b(ia+ & |
|---|
| 1634 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
|---|
| 1635 | d(jb+j) = s1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) + c1*((b(ia+ & |
|---|
| 1636 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
|---|
| 1637 | c(jd+j) = c3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) - s3*((b(ia+ & |
|---|
| 1638 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
|---|
| 1639 | d(jd+j) = s3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) + c3*((b(ia+ & |
|---|
| 1640 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
|---|
| 1641 | i = i + inc3 |
|---|
| 1642 | j = j + inc4 |
|---|
| 1643 | END DO |
|---|
| 1644 | ibase = ibase + inc1 |
|---|
| 1645 | jbase = jbase + inc2 |
|---|
| 1646 | END DO |
|---|
| 1647 | ia = ia + iink |
|---|
| 1648 | ib = ib + iink |
|---|
| 1649 | ic = ic - iink |
|---|
| 1650 | id = id - iink |
|---|
| 1651 | jbase = jbase + jump |
|---|
| 1652 | END DO |
|---|
| 1653 | IF (ib>ic) GO TO 170 |
|---|
| 1654 | 80 CONTINUE |
|---|
| 1655 | ibase = 0 |
|---|
| 1656 | sin45 = SQRT(0.5_wp) |
|---|
| 1657 | DO l = 1, la |
|---|
| 1658 | i = ibase |
|---|
| 1659 | j = jbase |
|---|
| 1660 | !DIR$ IVDEP |
|---|
| 1661 | !CDIR NODEP |
|---|
| 1662 | !OCL NOVREC |
|---|
| 1663 | DO ijk = 1, lot |
|---|
| 1664 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1665 | c(jb+j) = sin45*((a(ia+i)-a(ib+i))-(b(ia+i)+b(ib+i))) |
|---|
| 1666 | c(jc+j) = b(ib+i) - b(ia+i) |
|---|
| 1667 | c(jd+j) = -sin45*((a(ia+i)-a(ib+i))+(b(ia+i)+b(ib+i))) |
|---|
| 1668 | i = i + inc3 |
|---|
| 1669 | j = j + inc4 |
|---|
| 1670 | END DO |
|---|
| 1671 | ibase = ibase + inc1 |
|---|
| 1672 | jbase = jbase + inc2 |
|---|
| 1673 | END DO |
|---|
| 1674 | |
|---|
| 1675 | GO TO 170 |
|---|
| 1676 | 90 CONTINUE |
|---|
| 1677 | DO l = 1, la |
|---|
| 1678 | i = ibase |
|---|
| 1679 | j = jbase |
|---|
| 1680 | !DIR$ IVDEP |
|---|
| 1681 | !CDIR NODEP |
|---|
| 1682 | !OCL NOVREC |
|---|
| 1683 | DO ijk = 1, lot |
|---|
| 1684 | c(ja+j) = 2.0_wp*((a(ia+i)+a(ic+i))+a(ib+i)) |
|---|
| 1685 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ic+i))-b(ib+i)) |
|---|
| 1686 | c(jc+j) = 2.0_wp*((a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 1687 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ic+i))+b(ib+i)) |
|---|
| 1688 | i = i + inc3 |
|---|
| 1689 | j = j + inc4 |
|---|
| 1690 | END DO |
|---|
| 1691 | ibase = ibase + inc1 |
|---|
| 1692 | jbase = jbase + inc2 |
|---|
| 1693 | END DO |
|---|
| 1694 | |
|---|
| 1695 | ! Coding for factor 5 |
|---|
| 1696 | |
|---|
| 1697 | GO TO 170 |
|---|
| 1698 | 100 CONTINUE |
|---|
| 1699 | ia = 1 |
|---|
| 1700 | ib = ia + (2*m-la)*inc1 |
|---|
| 1701 | ic = ib + 2*m*inc1 |
|---|
| 1702 | id = ic |
|---|
| 1703 | ie = ib |
|---|
| 1704 | ja = 1 |
|---|
| 1705 | jb = ja + jink |
|---|
| 1706 | jc = jb + jink |
|---|
| 1707 | jd = jc + jink |
|---|
| 1708 | je = jd + jink |
|---|
| 1709 | |
|---|
| 1710 | IF (la==m) GO TO 120 |
|---|
| 1711 | |
|---|
| 1712 | DO l = 1, la |
|---|
| 1713 | i = ibase |
|---|
| 1714 | j = jbase |
|---|
| 1715 | !DIR$ IVDEP |
|---|
| 1716 | !CDIR NODEP |
|---|
| 1717 | !OCL NOVREC |
|---|
| 1718 | DO ijk = 1, lot |
|---|
| 1719 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
|---|
| 1720 | c(jb+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) - & |
|---|
| 1721 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
|---|
| 1722 | c(jc+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) - & |
|---|
| 1723 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
|---|
| 1724 | c(jd+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) + & |
|---|
| 1725 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
|---|
| 1726 | c(je+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) + & |
|---|
| 1727 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
|---|
| 1728 | i = i + inc3 |
|---|
| 1729 | j = j + inc4 |
|---|
| 1730 | END DO |
|---|
| 1731 | ibase = ibase + inc1 |
|---|
| 1732 | jbase = jbase + inc2 |
|---|
| 1733 | END DO |
|---|
| 1734 | ia = ia + iink |
|---|
| 1735 | iink = 2*iink |
|---|
| 1736 | ib = ib + iink |
|---|
| 1737 | ic = ic + iink |
|---|
| 1738 | id = id - iink |
|---|
| 1739 | ie = ie - iink |
|---|
| 1740 | jbase = jbase + jump |
|---|
| 1741 | jump = 2*jump + jink |
|---|
| 1742 | IF (ib==id) GO TO 110 |
|---|
| 1743 | DO k = la, kstop, la |
|---|
| 1744 | kb = k + k |
|---|
| 1745 | kc = kb + kb |
|---|
| 1746 | kd = kc + kb |
|---|
| 1747 | ke = kd + kb |
|---|
| 1748 | c1 = trigs(kb+1) |
|---|
| 1749 | s1 = trigs(kb+2) |
|---|
| 1750 | c2 = trigs(kc+1) |
|---|
| 1751 | s2 = trigs(kc+2) |
|---|
| 1752 | c3 = trigs(kd+1) |
|---|
| 1753 | s3 = trigs(kd+2) |
|---|
| 1754 | c4 = trigs(ke+1) |
|---|
| 1755 | s4 = trigs(ke+2) |
|---|
| 1756 | ibase = 0 |
|---|
| 1757 | DO l = 1, la |
|---|
| 1758 | i = ibase |
|---|
| 1759 | j = jbase |
|---|
| 1760 | !DIR$ IVDEP |
|---|
| 1761 | !CDIR NODEP |
|---|
| 1762 | !OCL NOVREC |
|---|
| 1763 | DO ijk = 1, lot |
|---|
| 1764 | |
|---|
| 1765 | a10(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) + & |
|---|
| 1766 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
|---|
| 1767 | a20(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) - & |
|---|
| 1768 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
|---|
| 1769 | b10(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) + & |
|---|
| 1770 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
|---|
| 1771 | b20(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) - & |
|---|
| 1772 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
|---|
| 1773 | a11(ijk) = sin72*(b(ib+i)+b(ie+i)) + sin36*(b(ic+i)+b(id+i)) |
|---|
| 1774 | a21(ijk) = sin36*(b(ib+i)+b(ie+i)) - sin72*(b(ic+i)+b(id+i)) |
|---|
| 1775 | b11(ijk) = sin72*(a(ib+i)-a(ie+i)) + sin36*(a(ic+i)-a(id+i)) |
|---|
| 1776 | b21(ijk) = sin36*(a(ib+i)-a(ie+i)) - sin72*(a(ic+i)-a(id+i)) |
|---|
| 1777 | |
|---|
| 1778 | c(ja+j) = a(ia+i) + ((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i))) |
|---|
| 1779 | d(ja+j) = b(ia+i) + ((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i))) |
|---|
| 1780 | c(jb+j) = c1*(a10(ijk)-a11(ijk)) - s1*(b10(ijk)+b11(ijk)) |
|---|
| 1781 | d(jb+j) = s1*(a10(ijk)-a11(ijk)) + c1*(b10(ijk)+b11(ijk)) |
|---|
| 1782 | c(je+j) = c4*(a10(ijk)+a11(ijk)) - s4*(b10(ijk)-b11(ijk)) |
|---|
| 1783 | d(je+j) = s4*(a10(ijk)+a11(ijk)) + c4*(b10(ijk)-b11(ijk)) |
|---|
| 1784 | c(jc+j) = c2*(a20(ijk)-a21(ijk)) - s2*(b20(ijk)+b21(ijk)) |
|---|
| 1785 | d(jc+j) = s2*(a20(ijk)-a21(ijk)) + c2*(b20(ijk)+b21(ijk)) |
|---|
| 1786 | c(jd+j) = c3*(a20(ijk)+a21(ijk)) - s3*(b20(ijk)-b21(ijk)) |
|---|
| 1787 | d(jd+j) = s3*(a20(ijk)+a21(ijk)) + c3*(b20(ijk)-b21(ijk)) |
|---|
| 1788 | |
|---|
| 1789 | i = i + inc3 |
|---|
| 1790 | j = j + inc4 |
|---|
| 1791 | END DO |
|---|
| 1792 | ibase = ibase + inc1 |
|---|
| 1793 | jbase = jbase + inc2 |
|---|
| 1794 | END DO |
|---|
| 1795 | ia = ia + iink |
|---|
| 1796 | ib = ib + iink |
|---|
| 1797 | ic = ic + iink |
|---|
| 1798 | id = id - iink |
|---|
| 1799 | ie = ie - iink |
|---|
| 1800 | jbase = jbase + jump |
|---|
| 1801 | END DO |
|---|
| 1802 | IF (ib>id) GO TO 170 |
|---|
| 1803 | 110 CONTINUE |
|---|
| 1804 | ibase = 0 |
|---|
| 1805 | DO l = 1, la |
|---|
| 1806 | i = ibase |
|---|
| 1807 | j = jbase |
|---|
| 1808 | !DIR$ IVDEP |
|---|
| 1809 | !CDIR NODEP |
|---|
| 1810 | !OCL NOVREC |
|---|
| 1811 | DO ijk = 1, lot |
|---|
| 1812 | c(ja+j) = (a(ia+i)+a(ib+i)) + a(ic+i) |
|---|
| 1813 | c(jb+j) = (qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1814 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
|---|
| 1815 | c(je+j) = -(qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1816 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
|---|
| 1817 | c(jc+j) = (qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1818 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
|---|
| 1819 | c(jd+j) = -(qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1820 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
|---|
| 1821 | i = i + inc3 |
|---|
| 1822 | j = j + inc4 |
|---|
| 1823 | END DO |
|---|
| 1824 | ibase = ibase + inc1 |
|---|
| 1825 | jbase = jbase + inc2 |
|---|
| 1826 | END DO |
|---|
| 1827 | |
|---|
| 1828 | GO TO 170 |
|---|
| 1829 | 120 CONTINUE |
|---|
| 1830 | qqrt5 = 2.0_wp*qrt5 |
|---|
| 1831 | ssin36 = 2.0_wp*sin36 |
|---|
| 1832 | ssin72 = 2.0_wp*sin72 |
|---|
| 1833 | DO l = 1, la |
|---|
| 1834 | i = ibase |
|---|
| 1835 | j = jbase |
|---|
| 1836 | !DIR$ IVDEP |
|---|
| 1837 | !CDIR NODEP |
|---|
| 1838 | !OCL NOVREC |
|---|
| 1839 | DO ijk = 1, lot |
|---|
| 1840 | c(ja+j) = 2.0_wp*(a(ia+i)+(a(ib+i)+a(ic+i))) |
|---|
| 1841 | c(jb+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
|---|
| 1842 | & i))) - (ssin72*b(ib+i)+ssin36*b(ic+i)) |
|---|
| 1843 | c(jc+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
|---|
| 1844 | & i))) - (ssin36*b(ib+i)-ssin72*b(ic+i)) |
|---|
| 1845 | c(jd+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
|---|
| 1846 | & i))) + (ssin36*b(ib+i)-ssin72*b(ic+i)) |
|---|
| 1847 | c(je+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
|---|
| 1848 | & i))) + (ssin72*b(ib+i)+ssin36*b(ic+i)) |
|---|
| 1849 | i = i + inc3 |
|---|
| 1850 | j = j + inc4 |
|---|
| 1851 | END DO |
|---|
| 1852 | ibase = ibase + inc1 |
|---|
| 1853 | jbase = jbase + inc2 |
|---|
| 1854 | END DO |
|---|
| 1855 | GO TO 170 |
|---|
| 1856 | |
|---|
| 1857 | ! Coding for factor 6 |
|---|
| 1858 | |
|---|
| 1859 | 130 CONTINUE |
|---|
| 1860 | ia = 1 |
|---|
| 1861 | ib = ia + (2*m-la)*inc1 |
|---|
| 1862 | ic = ib + 2*m*inc1 |
|---|
| 1863 | id = ic + 2*m*inc1 |
|---|
| 1864 | ie = ic |
|---|
| 1865 | if = ib |
|---|
| 1866 | ja = 1 |
|---|
| 1867 | jb = ja + jink |
|---|
| 1868 | jc = jb + jink |
|---|
| 1869 | jd = jc + jink |
|---|
| 1870 | je = jd + jink |
|---|
| 1871 | jf = je + jink |
|---|
| 1872 | |
|---|
| 1873 | IF (la==m) GO TO 150 |
|---|
| 1874 | |
|---|
| 1875 | DO l = 1, la |
|---|
| 1876 | i = ibase |
|---|
| 1877 | j = jbase |
|---|
| 1878 | !DIR$ IVDEP |
|---|
| 1879 | !CDIR NODEP |
|---|
| 1880 | !OCL NOVREC |
|---|
| 1881 | DO ijk = 1, lot |
|---|
| 1882 | c(ja+j) = (a(ia+i)+a(id+i)) + (a(ib+i)+a(ic+i)) |
|---|
| 1883 | c(jd+j) = (a(ia+i)-a(id+i)) - (a(ib+i)-a(ic+i)) |
|---|
| 1884 | c(jb+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) - (sin60*(b(ib+ & |
|---|
| 1885 | & i)+b(ic+i))) |
|---|
| 1886 | c(jf+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) + (sin60*(b(ib+ & |
|---|
| 1887 | & i)+b(ic+i))) |
|---|
| 1888 | c(jc+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) - (sin60*(b(ib+ & |
|---|
| 1889 | & i)-b(ic+i))) |
|---|
| 1890 | c(je+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) + (sin60*(b(ib+ & |
|---|
| 1891 | & i)-b(ic+i))) |
|---|
| 1892 | i = i + inc3 |
|---|
| 1893 | j = j + inc4 |
|---|
| 1894 | END DO |
|---|
| 1895 | ibase = ibase + inc1 |
|---|
| 1896 | jbase = jbase + inc2 |
|---|
| 1897 | END DO |
|---|
| 1898 | ia = ia + iink |
|---|
| 1899 | iink = 2*iink |
|---|
| 1900 | ib = ib + iink |
|---|
| 1901 | ic = ic + iink |
|---|
| 1902 | id = id - iink |
|---|
| 1903 | ie = ie - iink |
|---|
| 1904 | if = if - iink |
|---|
| 1905 | jbase = jbase + jump |
|---|
| 1906 | jump = 2*jump + jink |
|---|
| 1907 | IF (ic==id) GO TO 140 |
|---|
| 1908 | DO k = la, kstop, la |
|---|
| 1909 | kb = k + k |
|---|
| 1910 | kc = kb + kb |
|---|
| 1911 | kd = kc + kb |
|---|
| 1912 | ke = kd + kb |
|---|
| 1913 | kf = ke + kb |
|---|
| 1914 | c1 = trigs(kb+1) |
|---|
| 1915 | s1 = trigs(kb+2) |
|---|
| 1916 | c2 = trigs(kc+1) |
|---|
| 1917 | s2 = trigs(kc+2) |
|---|
| 1918 | c3 = trigs(kd+1) |
|---|
| 1919 | s3 = trigs(kd+2) |
|---|
| 1920 | c4 = trigs(ke+1) |
|---|
| 1921 | s4 = trigs(ke+2) |
|---|
| 1922 | c5 = trigs(kf+1) |
|---|
| 1923 | s5 = trigs(kf+2) |
|---|
| 1924 | ibase = 0 |
|---|
| 1925 | DO l = 1, la |
|---|
| 1926 | i = ibase |
|---|
| 1927 | j = jbase |
|---|
| 1928 | !DIR$ IVDEP |
|---|
| 1929 | !CDIR NODEP |
|---|
| 1930 | !OCL NOVREC |
|---|
| 1931 | DO ijk = 1, lot |
|---|
| 1932 | |
|---|
| 1933 | a11(ijk) = (a(ie+i)+a(ib+i)) + (a(ic+i)+a(if+i)) |
|---|
| 1934 | a20(ijk) = (a(ia+i)+a(id+i)) - 0.5_wp*a11(ijk) |
|---|
| 1935 | a21(ijk) = sin60*((a(ie+i)+a(ib+i))-(a(ic+i)+a(if+i))) |
|---|
| 1936 | b11(ijk) = (b(ib+i)-b(ie+i)) + (b(ic+i)-b(if+i)) |
|---|
| 1937 | b20(ijk) = (b(ia+i)-b(id+i)) - 0.5_wp*b11(ijk) |
|---|
| 1938 | b21(ijk) = sin60*((b(ib+i)-b(ie+i))-(b(ic+i)-b(if+i))) |
|---|
| 1939 | |
|---|
| 1940 | c(ja+j) = (a(ia+i)+a(id+i)) + a11(ijk) |
|---|
| 1941 | d(ja+j) = (b(ia+i)-b(id+i)) + b11(ijk) |
|---|
| 1942 | c(jc+j) = c2*(a20(ijk)-b21(ijk)) - s2*(b20(ijk)+a21(ijk)) |
|---|
| 1943 | d(jc+j) = s2*(a20(ijk)-b21(ijk)) + c2*(b20(ijk)+a21(ijk)) |
|---|
| 1944 | c(je+j) = c4*(a20(ijk)+b21(ijk)) - s4*(b20(ijk)-a21(ijk)) |
|---|
| 1945 | d(je+j) = s4*(a20(ijk)+b21(ijk)) + c4*(b20(ijk)-a21(ijk)) |
|---|
| 1946 | |
|---|
| 1947 | a11(ijk) = (a(ie+i)-a(ib+i)) + (a(ic+i)-a(if+i)) |
|---|
| 1948 | b11(ijk) = (b(ie+i)+b(ib+i)) - (b(ic+i)+b(if+i)) |
|---|
| 1949 | a20(ijk) = (a(ia+i)-a(id+i)) - 0.5_wp*a11(ijk) |
|---|
| 1950 | a21(ijk) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1951 | b20(ijk) = (b(ia+i)+b(id+i)) + 0.5_wp*b11(ijk) |
|---|
| 1952 | b21(ijk) = sin60*((b(ie+i)+b(ib+i))+(b(ic+i)+b(if+i))) |
|---|
| 1953 | |
|---|
| 1954 | c(jd+j) = c3*((a(ia+i)-a(id+i))+a11(ijk)) - s3*((b(ia+i)+b(id+ & |
|---|
| 1955 | & i))-b11(ijk)) |
|---|
| 1956 | d(jd+j) = s3*((a(ia+i)-a(id+i))+a11(ijk)) + c3*((b(ia+i)+b(id+ & |
|---|
| 1957 | & i))-b11(ijk)) |
|---|
| 1958 | c(jb+j) = c1*(a20(ijk)-b21(ijk)) - s1*(b20(ijk)-a21(ijk)) |
|---|
| 1959 | d(jb+j) = s1*(a20(ijk)-b21(ijk)) + c1*(b20(ijk)-a21(ijk)) |
|---|
| 1960 | c(jf+j) = c5*(a20(ijk)+b21(ijk)) - s5*(b20(ijk)+a21(ijk)) |
|---|
| 1961 | d(jf+j) = s5*(a20(ijk)+b21(ijk)) + c5*(b20(ijk)+a21(ijk)) |
|---|
| 1962 | |
|---|
| 1963 | i = i + inc3 |
|---|
| 1964 | j = j + inc4 |
|---|
| 1965 | END DO |
|---|
| 1966 | ibase = ibase + inc1 |
|---|
| 1967 | jbase = jbase + inc2 |
|---|
| 1968 | END DO |
|---|
| 1969 | ia = ia + iink |
|---|
| 1970 | ib = ib + iink |
|---|
| 1971 | ic = ic + iink |
|---|
| 1972 | id = id - iink |
|---|
| 1973 | ie = ie - iink |
|---|
| 1974 | if = if - iink |
|---|
| 1975 | jbase = jbase + jump |
|---|
| 1976 | END DO |
|---|
| 1977 | IF (ic>id) GO TO 170 |
|---|
| 1978 | 140 CONTINUE |
|---|
| 1979 | ibase = 0 |
|---|
| 1980 | DO l = 1, la |
|---|
| 1981 | i = ibase |
|---|
| 1982 | j = jbase |
|---|
| 1983 | !DIR$ IVDEP |
|---|
| 1984 | !CDIR NODEP |
|---|
| 1985 | !OCL NOVREC |
|---|
| 1986 | DO ijk = 1, lot |
|---|
| 1987 | c(ja+j) = a(ib+i) + (a(ia+i)+a(ic+i)) |
|---|
| 1988 | c(jd+j) = b(ib+i) - (b(ia+i)+b(ic+i)) |
|---|
| 1989 | c(jb+j) = (sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
|---|
| 1990 | c(jf+j) = -(sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
|---|
| 1991 | c(jc+j) = sin60*(b(ic+i)-b(ia+i)) + (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 1992 | c(je+j) = sin60*(b(ic+i)-b(ia+i)) - (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 1993 | i = i + inc3 |
|---|
| 1994 | j = j + inc4 |
|---|
| 1995 | END DO |
|---|
| 1996 | ibase = ibase + inc1 |
|---|
| 1997 | jbase = jbase + inc2 |
|---|
| 1998 | END DO |
|---|
| 1999 | |
|---|
| 2000 | GO TO 170 |
|---|
| 2001 | 150 CONTINUE |
|---|
| 2002 | ssin60 = 2.0_wp*sin60 |
|---|
| 2003 | DO l = 1, la |
|---|
| 2004 | i = ibase |
|---|
| 2005 | j = jbase |
|---|
| 2006 | !DIR$ IVDEP |
|---|
| 2007 | !CDIR NODEP |
|---|
| 2008 | !OCL NOVREC |
|---|
| 2009 | DO ijk = 1, lot |
|---|
| 2010 | c(ja+j) = (2.0_wp*(a(ia+i)+a(id+i))) + (2.0_wp*(a(ib+i)+a(ic+i))) |
|---|
| 2011 | c(jd+j) = (2.0_wp*(a(ia+i)-a(id+i))) - (2.0_wp*(a(ib+i)-a(ic+i))) |
|---|
| 2012 | c(jb+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) - (ssin60*(b(ib+ & |
|---|
| 2013 | & i)+b(ic+i))) |
|---|
| 2014 | c(jf+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) + (ssin60*(b(ib+ & |
|---|
| 2015 | & i)+b(ic+i))) |
|---|
| 2016 | c(jc+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) - (ssin60*(b(ib+ & |
|---|
| 2017 | & i)-b(ic+i))) |
|---|
| 2018 | c(je+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) + (ssin60*(b(ib+ & |
|---|
| 2019 | & i)-b(ic+i))) |
|---|
| 2020 | i = i + inc3 |
|---|
| 2021 | j = j + inc4 |
|---|
| 2022 | END DO |
|---|
| 2023 | ibase = ibase + inc1 |
|---|
| 2024 | jbase = jbase + inc2 |
|---|
| 2025 | END DO |
|---|
| 2026 | GO TO 170 |
|---|
| 2027 | |
|---|
| 2028 | ! Coding for factor 8 |
|---|
| 2029 | |
|---|
| 2030 | 160 CONTINUE |
|---|
| 2031 | ibad = 3 |
|---|
| 2032 | IF (la/=m) GO TO 180 |
|---|
| 2033 | ia = 1 |
|---|
| 2034 | ib = ia + la*inc1 |
|---|
| 2035 | ic = ib + 2*la*inc1 |
|---|
| 2036 | id = ic + 2*la*inc1 |
|---|
| 2037 | ie = id + 2*la*inc1 |
|---|
| 2038 | ja = 1 |
|---|
| 2039 | jb = ja + jink |
|---|
| 2040 | jc = jb + jink |
|---|
| 2041 | jd = jc + jink |
|---|
| 2042 | je = jd + jink |
|---|
| 2043 | jf = je + jink |
|---|
| 2044 | jg = jf + jink |
|---|
| 2045 | jh = jg + jink |
|---|
| 2046 | ssin45 = SQRT(2.0_wp) |
|---|
| 2047 | |
|---|
| 2048 | DO l = 1, la |
|---|
| 2049 | i = ibase |
|---|
| 2050 | j = jbase |
|---|
| 2051 | !DIR$ IVDEP |
|---|
| 2052 | !CDIR NODEP |
|---|
| 2053 | !OCL NOVREC |
|---|
| 2054 | DO ijk = 1, lot |
|---|
| 2055 | c(ja+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))+(a(ib+i)+a(id+i))) |
|---|
| 2056 | c(je+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))-(a(ib+i)+a(id+i))) |
|---|
| 2057 | c(jc+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))-(b(ib+i)-b(id+i))) |
|---|
| 2058 | c(jg+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))+(b(ib+i)-b(id+i))) |
|---|
| 2059 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
|---|
| 2060 | & i))-(b(ib+i)+b(id+i))) |
|---|
| 2061 | c(jf+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
|---|
| 2062 | & i))-(b(ib+i)+b(id+i))) |
|---|
| 2063 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
|---|
| 2064 | & i))+(b(ib+i)+b(id+i))) |
|---|
| 2065 | c(jh+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
|---|
| 2066 | & i))+(b(ib+i)+b(id+i))) |
|---|
| 2067 | i = i + inc3 |
|---|
| 2068 | j = j + inc4 |
|---|
| 2069 | END DO |
|---|
| 2070 | ibase = ibase + inc1 |
|---|
| 2071 | jbase = jbase + inc2 |
|---|
| 2072 | END DO |
|---|
| 2073 | |
|---|
| 2074 | ! Return |
|---|
| 2075 | |
|---|
| 2076 | 170 CONTINUE |
|---|
| 2077 | ibad = 0 |
|---|
| 2078 | 180 CONTINUE |
|---|
| 2079 | ierr = ibad |
|---|
| 2080 | RETURN |
|---|
| 2081 | END SUBROUTINE rpassm |
|---|
| 2082 | |
|---|
| 2083 | !------------------------------------------------------------------------------! |
|---|
| 2084 | ! Description: |
|---|
| 2085 | ! ------------ |
|---|
| 2086 | !> Computes factors of n & trigonometric functins required by fft99 & fft991cy |
|---|
| 2087 | !> Method: Dimension trigs(n),ifax(1),jfax(10),lfax(7) |
|---|
| 2088 | !> subroutine 'set99' - computes factors of n & trigonometric |
|---|
| 2089 | !> functins required by fft99 & fft991cy |
|---|
| 2090 | !------------------------------------------------------------------------------! |
|---|
| 2091 | SUBROUTINE set99(trigs,ifax,n) |
|---|
| 2092 | |
|---|
| 2093 | |
|---|
| 2094 | USE control_parameters, & |
|---|
| 2095 | ONLY: message_string |
|---|
| 2096 | |
|---|
| 2097 | USE kinds |
|---|
| 2098 | |
|---|
| 2099 | IMPLICIT NONE |
|---|
| 2100 | |
|---|
| 2101 | ! Scalar arguments |
|---|
| 2102 | INTEGER(iwp) :: n !< |
|---|
| 2103 | |
|---|
| 2104 | ! Array arguments |
|---|
| 2105 | INTEGER(iwp) :: ifax(*) !< |
|---|
| 2106 | REAL(wp) :: trigs(*) !< |
|---|
| 2107 | |
|---|
| 2108 | |
|---|
| 2109 | ! Local scalars: |
|---|
| 2110 | REAL(wp) :: angle !< |
|---|
| 2111 | REAL(wp) :: del !< |
|---|
| 2112 | INTEGER(iwp) :: i !< |
|---|
| 2113 | INTEGER(iwp) :: ifac !< |
|---|
| 2114 | INTEGER(iwp) :: ixxx !< |
|---|
| 2115 | INTEGER(iwp) :: k !< |
|---|
| 2116 | INTEGER(iwp) :: l !< |
|---|
| 2117 | INTEGER(iwp) :: nfax !< |
|---|
| 2118 | INTEGER(iwp) :: nhl !< |
|---|
| 2119 | INTEGER(iwp) :: nil !< |
|---|
| 2120 | INTEGER(iwp) :: nu !< |
|---|
| 2121 | |
|---|
| 2122 | ! Local arrays: |
|---|
| 2123 | INTEGER(iwp) :: jfax(10) !< |
|---|
| 2124 | INTEGER(iwp) :: lfax(7) !< |
|---|
| 2125 | |
|---|
| 2126 | ! Intrinsic functions |
|---|
| 2127 | ! INTRINSIC ASIN, COS, MOD, REAL, SIN |
|---|
| 2128 | |
|---|
| 2129 | ! Data statements |
|---|
| 2130 | DATA lfax/6, 8, 5, 4, 3, 2, 1/ |
|---|
| 2131 | |
|---|
| 2132 | |
|---|
| 2133 | ! Executable statements |
|---|
| 2134 | ixxx = 1 |
|---|
| 2135 | |
|---|
| 2136 | del = 4.0_wp*ASIN(1.0_wp)/REAL(n,KIND=wp) |
|---|
| 2137 | nil = 0 |
|---|
| 2138 | nhl = (n/2) - 1 |
|---|
| 2139 | DO k = nil, nhl |
|---|
| 2140 | angle = REAL(k,KIND=wp)*del |
|---|
| 2141 | trigs(2*k+1) = COS(angle) |
|---|
| 2142 | trigs(2*k+2) = SIN(angle) |
|---|
| 2143 | END DO |
|---|
| 2144 | |
|---|
| 2145 | ! Find factors of n (8,6,5,4,3,2; only one 8 allowed) |
|---|
| 2146 | ! Look for sixes first, store factors in descending order |
|---|
| 2147 | nu = n |
|---|
| 2148 | ifac = 6 |
|---|
| 2149 | k = 0 |
|---|
| 2150 | l = 1 |
|---|
| 2151 | 10 CONTINUE |
|---|
| 2152 | IF (MOD(nu,ifac)/=0) GO TO 30 |
|---|
| 2153 | k = k + 1 |
|---|
| 2154 | jfax(k) = ifac |
|---|
| 2155 | IF (ifac/=8) GO TO 20 |
|---|
| 2156 | IF (k==1) GO TO 20 |
|---|
| 2157 | jfax(1) = 8 |
|---|
| 2158 | jfax(k) = 6 |
|---|
| 2159 | 20 CONTINUE |
|---|
| 2160 | nu = nu/ifac |
|---|
| 2161 | IF (nu==1) GO TO 40 |
|---|
| 2162 | IF (ifac/=8) GO TO 10 |
|---|
| 2163 | 30 CONTINUE |
|---|
| 2164 | l = l + 1 |
|---|
| 2165 | ifac = lfax(l) |
|---|
| 2166 | IF (ifac>1) GO TO 10 |
|---|
| 2167 | |
|---|
| 2168 | ! WRITE (nout,'(A,I4,A)') ' n =',n,' - Contains illegal factors' |
|---|
| 2169 | message_string = 'number of gridpoints along x or/and y ' // & |
|---|
| 2170 | 'contain illegal factors' // & |
|---|
| 2171 | '&only factors 2, 3, 5 are allowed' |
|---|
| 2172 | CALL message( 'temperton_fft', 'PA0311', 1, 2, 0, 6, 0 ) |
|---|
| 2173 | |
|---|
| 2174 | RETURN |
|---|
| 2175 | |
|---|
| 2176 | ! Now reverse order of factors |
|---|
| 2177 | 40 CONTINUE |
|---|
| 2178 | nfax = k |
|---|
| 2179 | ifax(1) = nfax |
|---|
| 2180 | DO i = 1, nfax |
|---|
| 2181 | ifax(nfax+2-i) = jfax(i) |
|---|
| 2182 | END DO |
|---|
| 2183 | ifax(10) = n |
|---|
| 2184 | RETURN |
|---|
| 2185 | END SUBROUTINE set99 |
|---|
| 2186 | |
|---|
| 2187 | END MODULE temperton_fft |
|---|
