| 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 4182 2019-08-22 15:20:23Z suehring $ |
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| 11 | ! Corrected "Former revisions" section |
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| 12 | ! |
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| 13 | ! 3725 2019-02-07 10:11:02Z raasch |
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| 14 | ! GOTO statements replaced, file re-formatted corresponding to coding standards |
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| 15 | ! |
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| 16 | ! Revision 1.1 2003/03/12 16:41:59 raasch |
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| 17 | ! Initial revision |
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| 18 | ! |
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| 19 | ! |
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| 20 | ! Description: |
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| 21 | ! ------------ |
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| 22 | !> Fast Fourier transformation developed by Clive Temperton, ECMWF. |
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| 23 | !------------------------------------------------------------------------------! |
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| 24 | MODULE temperton_fft |
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| 25 | |
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| 26 | USE kinds |
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| 27 | |
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| 28 | IMPLICIT NONE |
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| 29 | |
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| 30 | PRIVATE |
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| 31 | |
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| 32 | PUBLIC set99, fft991cy |
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| 33 | |
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| 34 | INTEGER(iwp), PARAMETER :: nfft = 32 !< maximum length of calls to *fft |
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| 35 | INTEGER(iwp), PARAMETER :: nout = 6 !< standard output stream |
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| 36 | |
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| 37 | CONTAINS |
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| 38 | |
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| 39 | !------------------------------------------------------------------------------! |
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| 40 | ! Description: |
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| 41 | ! ------------ |
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| 42 | !> Calls Fortran-versions of fft's. |
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| 43 | !> |
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| 44 | !> Method: |
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| 45 | !> |
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| 46 | !> Subroutine 'fft991cy' - multiple fast real periodic transform |
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| 47 | !> supersedes previous routine 'fft991cy'. |
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| 48 | !> |
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| 49 | !> Real transform of length n performed by removing redundant |
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| 50 | !> operations from complex transform of length n. |
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| 51 | !> |
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| 52 | !> a is the array containing input & output data. |
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| 53 | !> work is an area of size (n+1)*min(lot,nfft). |
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| 54 | !> trigs is a previously prepared list of trig function values. |
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| 55 | !> ifax is a previously prepared list of factors of n. |
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| 56 | !> inc is the increment within each data 'vector' |
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| 57 | !> (e.g. inc=1 for consecutively stored data). |
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| 58 | !> jump is the increment between the start of each data vector. |
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| 59 | !> n is the length of the data vectors. |
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| 60 | !> lot is the number of data vectors. |
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| 61 | !> isign = +1 for transform from spectral to gridpoint |
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| 62 | !> = -1 for transform from gridpoint to spectral. |
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| 63 | !> |
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| 64 | !> ordering of coefficients: |
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| 65 | !> a(0),b(0),a(1),b(1),a(2),b(2),.,a(n/2),b(n/2) |
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| 66 | !> where b(0)=b(n/2)=0; (n+2) locations required. |
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| 67 | !> |
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| 68 | !> ordering of data: |
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| 69 | !> x(0),x(1),x(2),.,x(n-1), 0 , 0 ; (n+2) locations required. |
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| 70 | !> |
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| 71 | !> Vectorization is achieved on cray by doing the transforms |
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| 72 | !> in parallel. |
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| 73 | !> |
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| 74 | !> n must be composed of factors 2,3 & 5 but does not have to be even. |
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| 75 | !> |
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| 76 | !> definition of transforms: |
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| 77 | !> |
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| 78 | !> isign=+1: x(j)=sum(k=0,.,n-1)(c(k)*exp(2*i*j*k*pi/n)) |
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| 79 | !> where c(k)=a(k)+i*b(k) and c(n-k)=a(k)-i*b(k) |
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| 80 | !> |
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| 81 | !> isign=-1: a(k)=(1/n)*sum(j=0,.,n-1)(x(j)*cos(2*j*k*pi/n)) |
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| 82 | !> b(k)=-(1/n)*sum(j=0,.,n-1)(x(j)*sin(2*j*k*pi/n)) |
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| 83 | !> |
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| 84 | !> calls fortran-versions of fft's !!! |
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| 85 | !> dimension a(n),work(n),trigs(n),ifax(1) |
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| 86 | !------------------------------------------------------------------------------! |
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| 87 | SUBROUTINE fft991cy( a, work, trigs, ifax, inc, jump, n, lot, isign ) |
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| 88 | |
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| 89 | USE kinds |
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| 90 | |
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| 91 | IMPLICIT NONE |
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| 92 | |
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| 93 | INTEGER(iwp) :: inc !< |
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| 94 | INTEGER(iwp) :: isign !< |
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| 95 | INTEGER(iwp) :: jump !< |
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| 96 | INTEGER(iwp) :: lot !< |
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| 97 | INTEGER(iwp) :: n !< |
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| 98 | |
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| 99 | REAL(wp) :: a(*) !< |
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| 100 | REAL(wp) :: trigs(*) !< |
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| 101 | REAL(wp) :: work(*) !< |
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| 102 | INTEGER(iwp) :: ifax(*) !< |
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| 103 | |
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| 104 | INTEGER(iwp) :: i !< |
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| 105 | INTEGER(iwp) :: ia !< |
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| 106 | INTEGER(iwp) :: ibase !< |
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| 107 | INTEGER(iwp) :: ierr !< |
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| 108 | INTEGER(iwp) :: ifac !< |
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| 109 | INTEGER(iwp) :: igo !< |
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| 110 | INTEGER(iwp) :: ii !< |
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| 111 | INTEGER(iwp) :: istart !< |
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| 112 | INTEGER(iwp) :: ix !< |
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| 113 | INTEGER(iwp) :: iz !< |
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| 114 | INTEGER(iwp) :: j !< |
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| 115 | INTEGER(iwp) :: jbase !< |
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| 116 | INTEGER(iwp) :: jj !< |
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| 117 | INTEGER(iwp) :: k !< |
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| 118 | INTEGER(iwp) :: la !< |
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| 119 | INTEGER(iwp) :: nb !< |
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| 120 | INTEGER(iwp) :: nblox !< |
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| 121 | INTEGER(iwp) :: nfax !< |
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| 122 | INTEGER(iwp) :: nvex !< |
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| 123 | INTEGER(iwp) :: nx !< |
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| 124 | |
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| 125 | |
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| 126 | IF ( ifax(10) /= n ) CALL set99( trigs, ifax, n ) |
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| 127 | nfax = ifax(1) |
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| 128 | nx = n + 1 |
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| 129 | IF ( MOD(n,2) == 1 ) nx = n |
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| 130 | nblox = 1 + (lot-1) / nfft |
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| 131 | nvex = lot - (nblox-1) * nfft |
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| 132 | |
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| 133 | |
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| 134 | IF ( isign == 1 ) THEN |
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| 135 | ! |
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| 136 | !-- Backward fft: spectral to gridpoint transform |
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| 137 | |
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| 138 | istart = 1 |
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| 139 | DO nb = 1, nblox |
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| 140 | |
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| 141 | ia = istart |
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| 142 | i = istart |
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| 143 | !DIR$ IVDEP |
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| 144 | !CDIR NODEP |
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| 145 | !OCL NOVREC |
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| 146 | DO j = 1, nvex |
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| 147 | a(i+inc) = 0.5_wp * a(i) |
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| 148 | i = i + jump |
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| 149 | ENDDO |
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| 150 | IF ( MOD(n,2) /= 1 ) THEN |
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| 151 | i = istart + n * inc |
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| 152 | DO j = 1, nvex |
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| 153 | a(i) = 0.5_wp * a(i) |
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| 154 | i = i + jump |
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| 155 | ENDDO |
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| 156 | ENDIF |
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| 157 | ia = istart + inc |
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| 158 | la = 1 |
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| 159 | igo = + 1 |
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| 160 | |
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| 161 | DO k = 1, nfax |
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| 162 | |
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| 163 | ifac = ifax(k+1) |
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| 164 | ierr = -1 |
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| 165 | IF ( igo /= -1 ) THEN |
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| 166 | CALL rpassm( a(ia), a(ia+la*inc), work(1), work(ifac*la+1), trigs, inc, 1, jump, & |
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| 167 | nx, nvex, n, ifac, la, ierr ) |
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| 168 | ELSE |
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| 169 | CALL rpassm( work(1), work(la+1), a(ia), a(ia+ifac*la*inc), trigs, 1, inc, nx, & |
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| 170 | jump, nvex, n, ifac, la, ierr ) |
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| 171 | ENDIF |
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| 172 | ! |
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| 173 | !-- Following messages shouldn't appear in PALM applications |
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| 174 | IF ( ierr /= 0 ) THEN |
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| 175 | SELECT CASE (ierr) |
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| 176 | CASE (:-1) |
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| 177 | WRITE (nout,'(A,I5,A)') ' Vector length =',nvex,', greater than nfft' |
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| 178 | CASE (0) |
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| 179 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', not catered for' |
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| 180 | CASE (1:) |
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| 181 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', only catered for if la*ifac=n' |
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| 182 | END SELECT |
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| 183 | RETURN |
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| 184 | ENDIF |
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| 185 | |
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| 186 | la = ifac * la |
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| 187 | igo = -igo |
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| 188 | ia = istart |
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| 189 | |
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| 190 | ENDDO |
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| 191 | ! |
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| 192 | !-- If necessary, copy results back to a |
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| 193 | IF ( MOD(nfax,2) /= 0 ) THEN |
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| 194 | ibase = 1 |
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| 195 | jbase = ia |
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| 196 | DO jj = 1, nvex |
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| 197 | i = ibase |
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| 198 | j = jbase |
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| 199 | DO ii = 1, n |
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| 200 | a(j) = work(i) |
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| 201 | i = i + 1 |
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| 202 | j = j + inc |
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| 203 | ENDDO |
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| 204 | ibase = ibase + nx |
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| 205 | jbase = jbase + jump |
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| 206 | ENDDO |
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| 207 | ENDIF |
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| 208 | ! |
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| 209 | !-- Fill in zeros at end |
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| 210 | ix = istart + n*inc |
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| 211 | !DIR$ IVDEP |
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| 212 | !CDIR NODEP |
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| 213 | !OCL NOVREC |
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| 214 | DO j = 1, nvex |
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| 215 | a(ix) = 0.0_wp |
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| 216 | a(ix+inc) = 0.0_wp |
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| 217 | ix = ix + jump |
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| 218 | ENDDO |
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| 219 | istart = istart + nvex*jump |
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| 220 | nvex = nfft |
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| 221 | |
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| 222 | ENDDO |
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| 223 | |
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| 224 | ELSEIF ( isign == -1 ) THEN |
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| 225 | ! |
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| 226 | !-- Forward fft: gridpoint to spectral transform |
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| 227 | istart = 1 |
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| 228 | DO nb = 1, nblox |
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| 229 | ia = istart |
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| 230 | la = n |
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| 231 | igo = + 1 |
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| 232 | |
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| 233 | DO k = 1, nfax |
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| 234 | |
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| 235 | ifac = ifax(nfax+2-k) |
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| 236 | la = la / ifac |
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| 237 | ierr = -1 |
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| 238 | IF ( igo /= -1 ) THEN |
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| 239 | CALL qpassm( a(ia), a(ia+ifac*la*inc), work(1), work(la+1), trigs, inc, 1, jump, & |
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| 240 | nx, nvex, n, ifac, la, ierr ) |
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| 241 | ELSE |
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| 242 | CALL qpassm( work(1), work(ifac*la+1), a(ia), a(ia+la*inc), trigs, 1, inc, nx, & |
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| 243 | jump, nvex, n, ifac, la, ierr ) |
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| 244 | ENDIF |
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| 245 | ! |
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| 246 | !-- Following messages shouldn't appear in PALM applications |
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| 247 | IF ( ierr /= 0 ) THEN |
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| 248 | SELECT CASE (ierr) |
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| 249 | CASE (:-1) |
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| 250 | WRITE (nout,'(A,I5,A)') ' Vector length =',nvex,', greater than nfft' |
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| 251 | CASE (0) |
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| 252 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', not catered for' |
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| 253 | CASE (1:) |
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| 254 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', only catered for if la*ifac=n' |
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| 255 | END SELECT |
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| 256 | RETURN |
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| 257 | ENDIF |
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| 258 | |
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| 259 | igo = -igo |
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| 260 | ia = istart + inc |
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| 261 | |
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| 262 | ENDDO |
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| 263 | ! |
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| 264 | !-- If necessary, copy results back to a |
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| 265 | IF ( MOD(nfax,2) /= 0 ) THEN |
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| 266 | ibase = 1 |
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| 267 | jbase = ia |
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| 268 | DO jj = 1, nvex |
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| 269 | i = ibase |
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| 270 | j = jbase |
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| 271 | DO ii = 1, n |
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| 272 | a(j) = work(i) |
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| 273 | i = i + 1 |
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| 274 | j = j + inc |
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| 275 | ENDDO |
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| 276 | ibase = ibase + nx |
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| 277 | jbase = jbase + jump |
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| 278 | ENDDO |
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| 279 | ENDIF |
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| 280 | ! |
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| 281 | !-- Shift a(0) and fill in zero imag parts |
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| 282 | ix = istart |
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| 283 | !DIR$ IVDEP |
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| 284 | !CDIR NODEP |
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| 285 | !OCL NOVREC |
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| 286 | DO j = 1, nvex |
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| 287 | a(ix) = a(ix+inc) |
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| 288 | a(ix+inc) = 0.0_wp |
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| 289 | ix = ix + jump |
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| 290 | ENDDO |
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| 291 | IF ( MOD(n,2) /= 1 ) THEN |
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| 292 | iz = istart + (n+1) * inc |
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| 293 | DO j = 1, nvex |
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| 294 | a(iz) = 0.0_wp |
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| 295 | iz = iz + jump |
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| 296 | ENDDO |
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| 297 | ENDIF |
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| 298 | istart = istart + nvex * jump |
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| 299 | nvex = nfft |
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| 300 | |
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| 301 | ENDDO |
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| 302 | |
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| 303 | ENDIF |
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| 304 | |
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| 305 | END SUBROUTINE fft991cy |
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| 306 | |
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| 307 | !------------------------------------------------------------------------------! |
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| 308 | ! Description: |
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| 309 | ! ------------ |
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| 310 | !> Performs one pass through data as part of |
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| 311 | !> multiple real fft (fourier analysis) routine. |
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| 312 | !> |
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| 313 | !> Method: |
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| 314 | !> |
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| 315 | !> a is first real input vector |
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| 316 | !> equivalence b(1) with a(ifac*la*inc1+1) |
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| 317 | !> c is first real output vector |
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| 318 | !> equivalence d(1) with c(la*inc2+1) |
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| 319 | !> trigs is a precalculated list of sines & cosines |
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| 320 | !> inc1 is the addressing increment for a |
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| 321 | !> inc2 is the addressing increment for c |
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| 322 | !> inc3 is the increment between input vectors a |
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| 323 | !> inc4 is the increment between output vectors c |
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| 324 | !> lot is the number of vectors |
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| 325 | !> n is the length of the vectors |
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| 326 | !> ifac is the current factor of n |
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| 327 | !> la = n/(product of factors used so far) |
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| 328 | !> ierr is an error indicator: |
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| 329 | !> 0 - pass completed without error |
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| 330 | !> 1 - lot greater than nfft |
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| 331 | !> 2 - ifac not catered for |
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| 332 | !> 3 - ifac only catered for if la=n/ifac |
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| 333 | !------------------------------------------------------------------------------! |
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| 334 | SUBROUTINE qpassm( a, b, c, d, trigs, inc1, inc2, inc3, inc4, lot, n, ifac, la, ierr ) |
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| 335 | |
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| 336 | USE kinds |
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| 337 | |
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| 338 | IMPLICIT NONE |
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| 339 | |
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| 340 | INTEGER(iwp) :: ierr !< |
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| 341 | INTEGER(iwp) :: ifac !< |
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| 342 | INTEGER(iwp) :: inc1 !< |
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| 343 | INTEGER(iwp) :: inc2 !< |
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| 344 | INTEGER(iwp) :: inc3 !< |
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| 345 | INTEGER(iwp) :: inc4 !< |
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| 346 | INTEGER(iwp) :: la !< |
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| 347 | INTEGER(iwp) :: lot !< |
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| 348 | INTEGER(iwp) :: n !< |
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| 349 | |
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| 350 | ! |
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| 351 | !-- Arrays are dimensioned with n |
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| 352 | REAL(wp) :: a(*) !< |
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| 353 | REAL(wp) :: b(*) !< |
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| 354 | REAL(wp) :: c(*) !< |
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| 355 | REAL(wp) :: d(*) !< |
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| 356 | REAL(wp) :: trigs(*) !< |
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| 357 | |
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| 358 | REAL(wp) :: a0 !< |
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| 359 | REAL(wp) :: a1 !< |
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| 360 | REAL(wp) :: a10 !< |
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| 361 | REAL(wp) :: a11 !< |
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| 362 | REAL(wp) :: a2 !< |
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| 363 | REAL(wp) :: a20 !< |
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| 364 | REAL(wp) :: a21 !< |
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| 365 | REAL(wp) :: a3 !< |
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| 366 | REAL(wp) :: a4 !< |
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| 367 | REAL(wp) :: a5 !< |
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| 368 | REAL(wp) :: a6 !< |
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| 369 | REAL(wp) :: b0 !< |
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| 370 | REAL(wp) :: b1 !< |
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| 371 | REAL(wp) :: b10 !< |
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| 372 | REAL(wp) :: b11 !< |
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| 373 | REAL(wp) :: b2 !< |
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| 374 | REAL(wp) :: b20 !< |
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| 375 | REAL(wp) :: b21 !< |
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| 376 | REAL(wp) :: b3 !< |
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| 377 | REAL(wp) :: b4 !< |
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| 378 | REAL(wp) :: b5 !< |
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| 379 | REAL(wp) :: b6 !< |
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| 380 | REAL(wp) :: c1 !< |
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| 381 | REAL(wp) :: c2 !< |
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| 382 | REAL(wp) :: c3 !< |
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| 383 | REAL(wp) :: c4 !< |
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| 384 | REAL(wp) :: c5 !< |
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| 385 | REAL(wp) :: qrt5 !< |
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| 386 | REAL(wp) :: s1 !< |
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| 387 | REAL(wp) :: s2 !< |
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| 388 | REAL(wp) :: s3 !< |
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| 389 | REAL(wp) :: s4 !< |
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| 390 | REAL(wp) :: s5 !< |
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| 391 | REAL(wp) :: sin36 !< |
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| 392 | REAL(wp) :: sin45 !< |
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| 393 | REAL(wp) :: sin60 !< |
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| 394 | REAL(wp) :: sin72 !< |
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| 395 | REAL(wp) :: z !< |
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| 396 | REAL(wp) :: zqrt5 !< |
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| 397 | REAL(wp) :: zsin36 !< |
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| 398 | REAL(wp) :: zsin45 !< |
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| 399 | REAL(wp) :: zsin60 !< |
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| 400 | REAL(wp) :: zsin72 !< |
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| 401 | |
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| 402 | INTEGER(iwp) :: i !< |
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| 403 | INTEGER(iwp) :: ia !< |
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| 404 | INTEGER(iwp) :: ib !< |
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| 405 | INTEGER(iwp) :: ibase !< |
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| 406 | INTEGER(iwp) :: ic !< |
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| 407 | INTEGER(iwp) :: id !< |
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| 408 | INTEGER(iwp) :: ie !< |
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| 409 | INTEGER(iwp) :: if !< |
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| 410 | INTEGER(iwp) :: ig !< |
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| 411 | INTEGER(iwp) :: igo !< |
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| 412 | INTEGER(iwp) :: ih !< |
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| 413 | INTEGER(iwp) :: iink !< |
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| 414 | INTEGER(iwp) :: ijk !< |
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| 415 | INTEGER(iwp) :: ijump !< |
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| 416 | INTEGER(iwp) :: j !< |
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| 417 | INTEGER(iwp) :: ja !< |
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| 418 | INTEGER(iwp) :: jb !< |
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| 419 | INTEGER(iwp) :: jbase !< |
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| 420 | INTEGER(iwp) :: jc !< |
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| 421 | INTEGER(iwp) :: jd !< |
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| 422 | INTEGER(iwp) :: je !< |
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| 423 | INTEGER(iwp) :: jf !< |
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| 424 | INTEGER(iwp) :: jink !< |
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| 425 | INTEGER(iwp) :: k !< |
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| 426 | INTEGER(iwp) :: kb !< |
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| 427 | INTEGER(iwp) :: kc !< |
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| 428 | INTEGER(iwp) :: kd !< |
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| 429 | INTEGER(iwp) :: ke !< |
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| 430 | INTEGER(iwp) :: kf !< |
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| 431 | INTEGER(iwp) :: kstop !< |
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| 432 | INTEGER(iwp) :: l !< |
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| 433 | INTEGER(iwp) :: m !< |
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| 434 | |
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| 435 | |
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| 436 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
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| 437 | qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
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| 438 | |
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| 439 | |
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| 440 | ierr = 0 |
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| 441 | |
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| 442 | IF ( lot > nfft ) THEN |
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| 443 | ierr = 1 |
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| 444 | RETURN |
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| 445 | ENDIF |
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| 446 | |
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| 447 | m = n / ifac |
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| 448 | iink = la * inc1 |
|---|
| 449 | jink = la * inc2 |
|---|
| 450 | ijump = (ifac-1) * iink |
|---|
| 451 | kstop = ( n-ifac ) / ( 2*ifac ) |
|---|
| 452 | |
|---|
| 453 | ibase = 0 |
|---|
| 454 | jbase = 0 |
|---|
| 455 | igo = ifac - 1 |
|---|
| 456 | IF ( igo == 7 ) igo = 6 |
|---|
| 457 | |
|---|
| 458 | IF (igo < 1 .OR. igo > 6 ) THEN |
|---|
| 459 | ierr = 2 |
|---|
| 460 | RETURN |
|---|
| 461 | ENDIF |
|---|
| 462 | |
|---|
| 463 | |
|---|
| 464 | SELECT CASE ( igo ) |
|---|
| 465 | |
|---|
| 466 | ! |
|---|
| 467 | !-- Coding for factor 2 |
|---|
| 468 | CASE ( 1 ) |
|---|
| 469 | ia = 1 |
|---|
| 470 | ib = ia + iink |
|---|
| 471 | ja = 1 |
|---|
| 472 | jb = ja + (2*m-la) * inc2 |
|---|
| 473 | |
|---|
| 474 | IF ( la /= m ) THEN |
|---|
| 475 | |
|---|
| 476 | DO l = 1, la |
|---|
| 477 | i = ibase |
|---|
| 478 | j = jbase |
|---|
| 479 | !DIR$ IVDEP |
|---|
| 480 | !CDIR NODEP |
|---|
| 481 | !OCL NOVREC |
|---|
| 482 | DO ijk = 1, lot |
|---|
| 483 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 484 | c(jb+j) = a(ia+i) - a(ib+i) |
|---|
| 485 | i = i + inc3 |
|---|
| 486 | j = j + inc4 |
|---|
| 487 | ENDDO |
|---|
| 488 | ibase = ibase + inc1 |
|---|
| 489 | jbase = jbase + inc2 |
|---|
| 490 | ENDDO |
|---|
| 491 | |
|---|
| 492 | ja = ja + jink |
|---|
| 493 | jink = 2 * jink |
|---|
| 494 | jb = jb - jink |
|---|
| 495 | ibase = ibase + ijump |
|---|
| 496 | ijump = 2 * ijump + iink |
|---|
| 497 | |
|---|
| 498 | IF ( ja /= jb ) THEN |
|---|
| 499 | |
|---|
| 500 | DO k = la, kstop, la |
|---|
| 501 | kb = k + k |
|---|
| 502 | c1 = trigs(kb+1) |
|---|
| 503 | s1 = trigs(kb+2) |
|---|
| 504 | jbase = 0 |
|---|
| 505 | DO l = 1, la |
|---|
| 506 | i = ibase |
|---|
| 507 | j = jbase |
|---|
| 508 | !DIR$ IVDEP |
|---|
| 509 | !CDIR NODEP |
|---|
| 510 | !OCL NOVREC |
|---|
| 511 | DO ijk = 1, lot |
|---|
| 512 | c(ja+j) = a(ia+i) + (c1*a(ib+i)+s1*b(ib+i)) |
|---|
| 513 | c(jb+j) = a(ia+i) - (c1*a(ib+i)+s1*b(ib+i)) |
|---|
| 514 | d(ja+j) = (c1*b(ib+i)-s1*a(ib+i)) + b(ia+i) |
|---|
| 515 | d(jb+j) = (c1*b(ib+i)-s1*a(ib+i)) - b(ia+i) |
|---|
| 516 | i = i + inc3 |
|---|
| 517 | j = j + inc4 |
|---|
| 518 | ENDDO |
|---|
| 519 | ibase = ibase + inc1 |
|---|
| 520 | jbase = jbase + inc2 |
|---|
| 521 | ENDDO |
|---|
| 522 | |
|---|
| 523 | ibase = ibase + ijump |
|---|
| 524 | ja = ja + jink |
|---|
| 525 | jb = jb - jink |
|---|
| 526 | ENDDO |
|---|
| 527 | |
|---|
| 528 | IF ( ja > jb ) RETURN |
|---|
| 529 | |
|---|
| 530 | ENDIF |
|---|
| 531 | |
|---|
| 532 | jbase = 0 |
|---|
| 533 | DO l = 1, la |
|---|
| 534 | i = ibase |
|---|
| 535 | j = jbase |
|---|
| 536 | !DIR$ IVDEP |
|---|
| 537 | !CDIR NODEP |
|---|
| 538 | !OCL NOVREC |
|---|
| 539 | DO ijk = 1, lot |
|---|
| 540 | c(ja+j) = a(ia+i) |
|---|
| 541 | d(ja+j) = -a(ib+i) |
|---|
| 542 | i = i + inc3 |
|---|
| 543 | j = j + inc4 |
|---|
| 544 | |
|---|
| 545 | ENDDO |
|---|
| 546 | ibase = ibase + inc1 |
|---|
| 547 | jbase = jbase + inc2 |
|---|
| 548 | ENDDO |
|---|
| 549 | |
|---|
| 550 | ELSE |
|---|
| 551 | |
|---|
| 552 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 553 | DO l = 1, la |
|---|
| 554 | i = ibase |
|---|
| 555 | j = jbase |
|---|
| 556 | !DIR$ IVDEP |
|---|
| 557 | !CDIR NODEP |
|---|
| 558 | !OCL NOVREC |
|---|
| 559 | DO ijk = 1, lot |
|---|
| 560 | c(ja+j) = z*(a(ia+i)+a(ib+i)) |
|---|
| 561 | c(jb+j) = z*(a(ia+i)-a(ib+i)) |
|---|
| 562 | i = i + inc3 |
|---|
| 563 | j = j + inc4 |
|---|
| 564 | ENDDO |
|---|
| 565 | ibase = ibase + inc1 |
|---|
| 566 | jbase = jbase + inc2 |
|---|
| 567 | ENDDO |
|---|
| 568 | |
|---|
| 569 | ENDIF |
|---|
| 570 | |
|---|
| 571 | ! |
|---|
| 572 | !-- Coding for factor 3 |
|---|
| 573 | CASE ( 2 ) |
|---|
| 574 | |
|---|
| 575 | ia = 1 |
|---|
| 576 | ib = ia + iink |
|---|
| 577 | ic = ib + iink |
|---|
| 578 | ja = 1 |
|---|
| 579 | jb = ja + (2*m-la) * inc2 |
|---|
| 580 | jc = jb |
|---|
| 581 | |
|---|
| 582 | IF ( la /= m ) THEN |
|---|
| 583 | |
|---|
| 584 | DO l = 1, la |
|---|
| 585 | i = ibase |
|---|
| 586 | j = jbase |
|---|
| 587 | !DIR$ IVDEP |
|---|
| 588 | !CDIR NODEP |
|---|
| 589 | !OCL NOVREC |
|---|
| 590 | DO ijk = 1, lot |
|---|
| 591 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
|---|
| 592 | c(jb+j) = a(ia+i) - 0.5_wp*(a(ib+i)+a(ic+i)) |
|---|
| 593 | d(jb+j) = sin60*(a(ic+i)-a(ib+i)) |
|---|
| 594 | i = i + inc3 |
|---|
| 595 | j = j + inc4 |
|---|
| 596 | ENDDO |
|---|
| 597 | ibase = ibase + inc1 |
|---|
| 598 | jbase = jbase + inc2 |
|---|
| 599 | ENDDO |
|---|
| 600 | |
|---|
| 601 | ja = ja + jink |
|---|
| 602 | jink = 2 * jink |
|---|
| 603 | jb = jb + jink |
|---|
| 604 | jc = jc - jink |
|---|
| 605 | ibase = ibase + ijump |
|---|
| 606 | ijump = 2 * ijump + iink |
|---|
| 607 | |
|---|
| 608 | IF ( ja /= jc ) THEN |
|---|
| 609 | |
|---|
| 610 | DO k = la, kstop, la |
|---|
| 611 | kb = k + k |
|---|
| 612 | kc = kb + kb |
|---|
| 613 | c1 = trigs(kb+1) |
|---|
| 614 | s1 = trigs(kb+2) |
|---|
| 615 | c2 = trigs(kc+1) |
|---|
| 616 | s2 = trigs(kc+2) |
|---|
| 617 | |
|---|
| 618 | jbase = 0 |
|---|
| 619 | DO l = 1, la |
|---|
| 620 | i = ibase |
|---|
| 621 | j = jbase |
|---|
| 622 | !DIR$ IVDEP |
|---|
| 623 | !CDIR NODEP |
|---|
| 624 | !OCL NOVREC |
|---|
| 625 | DO ijk = 1, lot |
|---|
| 626 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 627 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 628 | a2 = a(ia+i) - 0.5_wp*a1 |
|---|
| 629 | b2 = b(ia+i) - 0.5_wp*b1 |
|---|
| 630 | a3 = sin60*((c1*a(ib+i)+s1*b(ib+i))-(c2*a(ic+i)+s2*b(ic+i))) |
|---|
| 631 | b3 = sin60*((c1*b(ib+i)-s1*a(ib+i))-(c2*b(ic+i)-s2*a(ic+i))) |
|---|
| 632 | c(ja+j) = a(ia+i) + a1 |
|---|
| 633 | d(ja+j) = b(ia+i) + b1 |
|---|
| 634 | c(jb+j) = a2 + b3 |
|---|
| 635 | d(jb+j) = b2 - a3 |
|---|
| 636 | c(jc+j) = a2 - b3 |
|---|
| 637 | d(jc+j) = -(b2+a3) |
|---|
| 638 | i = i + inc3 |
|---|
| 639 | j = j + inc4 |
|---|
| 640 | ENDDO |
|---|
| 641 | ibase = ibase + inc1 |
|---|
| 642 | jbase = jbase + inc2 |
|---|
| 643 | ENDDO |
|---|
| 644 | ibase = ibase + ijump |
|---|
| 645 | ja = ja + jink |
|---|
| 646 | jb = jb + jink |
|---|
| 647 | jc = jc - jink |
|---|
| 648 | ENDDO |
|---|
| 649 | |
|---|
| 650 | IF ( ja > jc ) RETURN |
|---|
| 651 | |
|---|
| 652 | ENDIF |
|---|
| 653 | |
|---|
| 654 | jbase = 0 |
|---|
| 655 | DO l = 1, la |
|---|
| 656 | i = ibase |
|---|
| 657 | j = jbase |
|---|
| 658 | !DIR$ IVDEP |
|---|
| 659 | !CDIR NODEP |
|---|
| 660 | !OCL NOVREC |
|---|
| 661 | DO ijk = 1, lot |
|---|
| 662 | c(ja+j) = a(ia+i) + 0.5_wp*(a(ib+i)-a(ic+i)) |
|---|
| 663 | d(ja+j) = -sin60*(a(ib+i)+a(ic+i)) |
|---|
| 664 | c(jb+j) = a(ia+i) - (a(ib+i)-a(ic+i)) |
|---|
| 665 | i = i + inc3 |
|---|
| 666 | j = j + inc4 |
|---|
| 667 | ENDDO |
|---|
| 668 | ibase = ibase + inc1 |
|---|
| 669 | jbase = jbase + inc2 |
|---|
| 670 | ENDDO |
|---|
| 671 | |
|---|
| 672 | ELSE |
|---|
| 673 | |
|---|
| 674 | z = 1.0_wp / REAL( n, KIND=wp ) |
|---|
| 675 | zsin60 = z*sin60 |
|---|
| 676 | DO l = 1, la |
|---|
| 677 | i = ibase |
|---|
| 678 | j = jbase |
|---|
| 679 | !DIR$ IVDEP |
|---|
| 680 | !CDIR NODEP |
|---|
| 681 | !OCL NOVREC |
|---|
| 682 | DO ijk = 1, lot |
|---|
| 683 | c(ja+j) = z*(a(ia+i)+(a(ib+i)+a(ic+i))) |
|---|
| 684 | c(jb+j) = z*(a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i))) |
|---|
| 685 | d(jb+j) = zsin60*(a(ic+i)-a(ib+i)) |
|---|
| 686 | i = i + inc3 |
|---|
| 687 | j = j + inc4 |
|---|
| 688 | ENDDO |
|---|
| 689 | ibase = ibase + inc1 |
|---|
| 690 | jbase = jbase + inc2 |
|---|
| 691 | ENDDO |
|---|
| 692 | |
|---|
| 693 | ENDIF |
|---|
| 694 | |
|---|
| 695 | ! |
|---|
| 696 | !-- Coding for factor 4 |
|---|
| 697 | CASE ( 3 ) |
|---|
| 698 | |
|---|
| 699 | ia = 1 |
|---|
| 700 | ib = ia + iink |
|---|
| 701 | ic = ib + iink |
|---|
| 702 | id = ic + iink |
|---|
| 703 | ja = 1 |
|---|
| 704 | jb = ja + (2*m-la) * inc2 |
|---|
| 705 | jc = jb + 2*m*inc2 |
|---|
| 706 | jd = jb |
|---|
| 707 | |
|---|
| 708 | IF ( la /= m ) THEN |
|---|
| 709 | |
|---|
| 710 | DO l = 1, la |
|---|
| 711 | |
|---|
| 712 | i = ibase |
|---|
| 713 | j = jbase |
|---|
| 714 | !DIR$ IVDEP |
|---|
| 715 | !CDIR NODEP |
|---|
| 716 | !OCL NOVREC |
|---|
| 717 | DO ijk = 1, lot |
|---|
| 718 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
|---|
| 719 | c(jc+j) = (a(ia+i)+a(ic+i)) - (a(ib+i)+a(id+i)) |
|---|
| 720 | c(jb+j) = a(ia+i) - a(ic+i) |
|---|
| 721 | d(jb+j) = a(id+i) - a(ib+i) |
|---|
| 722 | i = i + inc3 |
|---|
| 723 | j = j + inc4 |
|---|
| 724 | ENDDO |
|---|
| 725 | ibase = ibase + inc1 |
|---|
| 726 | jbase = jbase + inc2 |
|---|
| 727 | ENDDO |
|---|
| 728 | |
|---|
| 729 | ja = ja + jink |
|---|
| 730 | jink = 2 * jink |
|---|
| 731 | jb = jb + jink |
|---|
| 732 | jc = jc - jink |
|---|
| 733 | jd = jd - jink |
|---|
| 734 | ibase = ibase + ijump |
|---|
| 735 | ijump = 2 * ijump + iink |
|---|
| 736 | |
|---|
| 737 | IF ( jb /= jc ) THEN |
|---|
| 738 | |
|---|
| 739 | DO k = la, kstop, la |
|---|
| 740 | kb = k + k |
|---|
| 741 | kc = kb + kb |
|---|
| 742 | kd = kc + kb |
|---|
| 743 | c1 = trigs(kb+1) |
|---|
| 744 | s1 = trigs(kb+2) |
|---|
| 745 | c2 = trigs(kc+1) |
|---|
| 746 | s2 = trigs(kc+2) |
|---|
| 747 | c3 = trigs(kd+1) |
|---|
| 748 | s3 = trigs(kd+2) |
|---|
| 749 | jbase = 0 |
|---|
| 750 | DO l = 1, la |
|---|
| 751 | i = ibase |
|---|
| 752 | j = jbase |
|---|
| 753 | !DIR$ IVDEP |
|---|
| 754 | !CDIR NODEP |
|---|
| 755 | !OCL NOVREC |
|---|
| 756 | DO ijk = 1, lot |
|---|
| 757 | a0 = a(ia+i) + (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 758 | a2 = a(ia+i) - (c2*a(ic+i)+s2*b(ic+i)) |
|---|
| 759 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c3*a(id+i)+s3*b(id+i)) |
|---|
| 760 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c3*a(id+i)+s3*b(id+i)) |
|---|
| 761 | b0 = b(ia+i) + (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 762 | b2 = b(ia+i) - (c2*b(ic+i)-s2*a(ic+i)) |
|---|
| 763 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c3*b(id+i)-s3*a(id+i)) |
|---|
| 764 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c3*b(id+i)-s3*a(id+i)) |
|---|
| 765 | c(ja+j) = a0 + a1 |
|---|
| 766 | c(jc+j) = a0 - a1 |
|---|
| 767 | d(ja+j) = b0 + b1 |
|---|
| 768 | d(jc+j) = b1 - b0 |
|---|
| 769 | c(jb+j) = a2 + b3 |
|---|
| 770 | c(jd+j) = a2 - b3 |
|---|
| 771 | d(jb+j) = b2 - a3 |
|---|
| 772 | d(jd+j) = -(b2+a3) |
|---|
| 773 | i = i + inc3 |
|---|
| 774 | j = j + inc4 |
|---|
| 775 | ENDDO |
|---|
| 776 | ibase = ibase + inc1 |
|---|
| 777 | jbase = jbase + inc2 |
|---|
| 778 | ENDDO |
|---|
| 779 | ibase = ibase + ijump |
|---|
| 780 | ja = ja + jink |
|---|
| 781 | jb = jb + jink |
|---|
| 782 | jc = jc - jink |
|---|
| 783 | jd = jd - jink |
|---|
| 784 | ENDDO |
|---|
| 785 | |
|---|
| 786 | IF ( jb > jc ) RETURN |
|---|
| 787 | |
|---|
| 788 | ENDIF |
|---|
| 789 | |
|---|
| 790 | sin45 = SQRT( 0.5_wp ) |
|---|
| 791 | jbase = 0 |
|---|
| 792 | DO l = 1, la |
|---|
| 793 | i = ibase |
|---|
| 794 | j = jbase |
|---|
| 795 | !DIR$ IVDEP |
|---|
| 796 | !CDIR NODEP |
|---|
| 797 | !OCL NOVREC |
|---|
| 798 | DO ijk = 1, lot |
|---|
| 799 | c(ja+j) = a(ia+i) + sin45*(a(ib+i)-a(id+i)) |
|---|
| 800 | c(jb+j) = a(ia+i) - sin45*(a(ib+i)-a(id+i)) |
|---|
| 801 | d(ja+j) = -a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
|---|
| 802 | d(jb+j) = a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
|---|
| 803 | i = i + inc3 |
|---|
| 804 | j = j + inc4 |
|---|
| 805 | ENDDO |
|---|
| 806 | ibase = ibase + inc1 |
|---|
| 807 | jbase = jbase + inc2 |
|---|
| 808 | ENDDO |
|---|
| 809 | |
|---|
| 810 | ELSE |
|---|
| 811 | |
|---|
| 812 | z = 1.0_wp / REAL( n, KIND=wp ) |
|---|
| 813 | DO l = 1, la |
|---|
| 814 | i = ibase |
|---|
| 815 | j = jbase |
|---|
| 816 | !DIR$ IVDEP |
|---|
| 817 | !CDIR NODEP |
|---|
| 818 | !OCL NOVREC |
|---|
| 819 | DO ijk = 1, lot |
|---|
| 820 | c(ja+j) = z*((a(ia+i)+a(ic+i))+(a(ib+i)+a(id+i))) |
|---|
| 821 | c(jc+j) = z*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) |
|---|
| 822 | c(jb+j) = z*(a(ia+i)-a(ic+i)) |
|---|
| 823 | d(jb+j) = z*(a(id+i)-a(ib+i)) |
|---|
| 824 | i = i + inc3 |
|---|
| 825 | j = j + inc4 |
|---|
| 826 | ENDDO |
|---|
| 827 | ibase = ibase + inc1 |
|---|
| 828 | jbase = jbase + inc2 |
|---|
| 829 | ENDDO |
|---|
| 830 | |
|---|
| 831 | ENDIF |
|---|
| 832 | |
|---|
| 833 | ! |
|---|
| 834 | !-- Coding for factor 5 |
|---|
| 835 | CASE ( 4 ) |
|---|
| 836 | |
|---|
| 837 | ia = 1 |
|---|
| 838 | ib = ia + iink |
|---|
| 839 | ic = ib + iink |
|---|
| 840 | id = ic + iink |
|---|
| 841 | ie = id + iink |
|---|
| 842 | ja = 1 |
|---|
| 843 | jb = ja + (2*m-la) * inc2 |
|---|
| 844 | jc = jb + 2*m*inc2 |
|---|
| 845 | jd = jc |
|---|
| 846 | je = jb |
|---|
| 847 | |
|---|
| 848 | IF ( la /= m ) THEN |
|---|
| 849 | |
|---|
| 850 | DO l = 1, la |
|---|
| 851 | i = ibase |
|---|
| 852 | j = jbase |
|---|
| 853 | !DIR$ IVDEP |
|---|
| 854 | !CDIR NODEP |
|---|
| 855 | !OCL NOVREC |
|---|
| 856 | DO ijk = 1, lot |
|---|
| 857 | a1 = a(ib+i) + a(ie+i) |
|---|
| 858 | a3 = a(ib+i) - a(ie+i) |
|---|
| 859 | a2 = a(ic+i) + a(id+i) |
|---|
| 860 | a4 = a(ic+i) - a(id+i) |
|---|
| 861 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
|---|
| 862 | a6 = qrt5*(a1-a2) |
|---|
| 863 | c(ja+j) = a(ia+i) + (a1+a2) |
|---|
| 864 | c(jb+j) = a5 + a6 |
|---|
| 865 | c(jc+j) = a5 - a6 |
|---|
| 866 | d(jb+j) = -sin72*a3 - sin36*a4 |
|---|
| 867 | d(jc+j) = -sin36*a3 + sin72*a4 |
|---|
| 868 | i = i + inc3 |
|---|
| 869 | j = j + inc4 |
|---|
| 870 | ENDDO |
|---|
| 871 | ibase = ibase + inc1 |
|---|
| 872 | jbase = jbase + inc2 |
|---|
| 873 | ENDDO |
|---|
| 874 | |
|---|
| 875 | ja = ja + jink |
|---|
| 876 | jink = 2 * jink |
|---|
| 877 | jb = jb + jink |
|---|
| 878 | jc = jc + jink |
|---|
| 879 | jd = jd - jink |
|---|
| 880 | je = je - jink |
|---|
| 881 | ibase = ibase + ijump |
|---|
| 882 | ijump = 2 * ijump + iink |
|---|
| 883 | |
|---|
| 884 | IF ( jb /= jd ) THEN |
|---|
| 885 | |
|---|
| 886 | DO k = la, kstop, la |
|---|
| 887 | kb = k + k |
|---|
| 888 | kc = kb + kb |
|---|
| 889 | kd = kc + kb |
|---|
| 890 | ke = kd + kb |
|---|
| 891 | c1 = trigs(kb+1) |
|---|
| 892 | s1 = trigs(kb+2) |
|---|
| 893 | c2 = trigs(kc+1) |
|---|
| 894 | s2 = trigs(kc+2) |
|---|
| 895 | c3 = trigs(kd+1) |
|---|
| 896 | s3 = trigs(kd+2) |
|---|
| 897 | c4 = trigs(ke+1) |
|---|
| 898 | s4 = trigs(ke+2) |
|---|
| 899 | jbase = 0 |
|---|
| 900 | DO l = 1, la |
|---|
| 901 | i = ibase |
|---|
| 902 | j = jbase |
|---|
| 903 | !DIR$ IVDEP |
|---|
| 904 | !CDIR NODEP |
|---|
| 905 | !OCL NOVREC |
|---|
| 906 | DO ijk = 1, lot |
|---|
| 907 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c4*a(ie+i)+s4*b(ie+i)) |
|---|
| 908 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c4*a(ie+i)+s4*b(ie+i)) |
|---|
| 909 | a2 = (c2*a(ic+i)+s2*b(ic+i)) + (c3*a(id+i)+s3*b(id+i)) |
|---|
| 910 | a4 = (c2*a(ic+i)+s2*b(ic+i)) - (c3*a(id+i)+s3*b(id+i)) |
|---|
| 911 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c4*b(ie+i)-s4*a(ie+i)) |
|---|
| 912 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c4*b(ie+i)-s4*a(ie+i)) |
|---|
| 913 | b2 = (c2*b(ic+i)-s2*a(ic+i)) + (c3*b(id+i)-s3*a(id+i)) |
|---|
| 914 | b4 = (c2*b(ic+i)-s2*a(ic+i)) - (c3*b(id+i)-s3*a(id+i)) |
|---|
| 915 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
|---|
| 916 | a6 = qrt5*(a1-a2) |
|---|
| 917 | b5 = b(ia+i) - 0.25_wp*(b1+b2) |
|---|
| 918 | b6 = qrt5*(b1-b2) |
|---|
| 919 | a10 = a5 + a6 |
|---|
| 920 | a20 = a5 - a6 |
|---|
| 921 | b10 = b5 + b6 |
|---|
| 922 | b20 = b5 - b6 |
|---|
| 923 | a11 = sin72*b3 + sin36*b4 |
|---|
| 924 | a21 = sin36*b3 - sin72*b4 |
|---|
| 925 | b11 = sin72*a3 + sin36*a4 |
|---|
| 926 | b21 = sin36*a3 - sin72*a4 |
|---|
| 927 | c(ja+j) = a(ia+i) + (a1+a2) |
|---|
| 928 | c(jb+j) = a10 + a11 |
|---|
| 929 | c(je+j) = a10 - a11 |
|---|
| 930 | c(jc+j) = a20 + a21 |
|---|
| 931 | c(jd+j) = a20 - a21 |
|---|
| 932 | d(ja+j) = b(ia+i) + (b1+b2) |
|---|
| 933 | d(jb+j) = b10 - b11 |
|---|
| 934 | d(je+j) = -(b10+b11) |
|---|
| 935 | d(jc+j) = b20 - b21 |
|---|
| 936 | d(jd+j) = -(b20+b21) |
|---|
| 937 | i = i + inc3 |
|---|
| 938 | j = j + inc4 |
|---|
| 939 | ENDDO |
|---|
| 940 | ibase = ibase + inc1 |
|---|
| 941 | jbase = jbase + inc2 |
|---|
| 942 | ENDDO |
|---|
| 943 | ibase = ibase + ijump |
|---|
| 944 | ja = ja + jink |
|---|
| 945 | jb = jb + jink |
|---|
| 946 | jc = jc + jink |
|---|
| 947 | jd = jd - jink |
|---|
| 948 | je = je - jink |
|---|
| 949 | ENDDO |
|---|
| 950 | |
|---|
| 951 | IF ( jb > jd ) RETURN |
|---|
| 952 | |
|---|
| 953 | ENDIF |
|---|
| 954 | |
|---|
| 955 | jbase = 0 |
|---|
| 956 | DO l = 1, la |
|---|
| 957 | i = ibase |
|---|
| 958 | j = jbase |
|---|
| 959 | !DIR$ IVDEP |
|---|
| 960 | !CDIR NODEP |
|---|
| 961 | !OCL NOVREC |
|---|
| 962 | DO ijk = 1, lot |
|---|
| 963 | a1 = a(ib+i) + a(ie+i) |
|---|
| 964 | a3 = a(ib+i) - a(ie+i) |
|---|
| 965 | a2 = a(ic+i) + a(id+i) |
|---|
| 966 | a4 = a(ic+i) - a(id+i) |
|---|
| 967 | a5 = a(ia+i) + 0.25_wp*(a3-a4) |
|---|
| 968 | a6 = qrt5*(a3+a4) |
|---|
| 969 | c(ja+j) = a5 + a6 |
|---|
| 970 | c(jb+j) = a5 - a6 |
|---|
| 971 | c(jc+j) = a(ia+i) - (a3-a4) |
|---|
| 972 | d(ja+j) = -sin36*a1 - sin72*a2 |
|---|
| 973 | d(jb+j) = -sin72*a1 + sin36*a2 |
|---|
| 974 | i = i + inc3 |
|---|
| 975 | j = j + inc4 |
|---|
| 976 | ENDDO |
|---|
| 977 | ibase = ibase + inc1 |
|---|
| 978 | jbase = jbase + inc2 |
|---|
| 979 | ENDDO |
|---|
| 980 | |
|---|
| 981 | ELSE |
|---|
| 982 | |
|---|
| 983 | z = 1.0_wp / REAL( n, KIND=wp ) |
|---|
| 984 | zqrt5 = z * qrt5 |
|---|
| 985 | zsin36 = z * sin36 |
|---|
| 986 | zsin72 = z * sin72 |
|---|
| 987 | DO l = 1, la |
|---|
| 988 | i = ibase |
|---|
| 989 | j = jbase |
|---|
| 990 | !DIR$ IVDEP |
|---|
| 991 | !CDIR NODEP |
|---|
| 992 | !OCL NOVREC |
|---|
| 993 | DO ijk = 1, lot |
|---|
| 994 | a1 = a(ib+i) + a(ie+i) |
|---|
| 995 | a3 = a(ib+i) - a(ie+i) |
|---|
| 996 | a2 = a(ic+i) + a(id+i) |
|---|
| 997 | a4 = a(ic+i) - a(id+i) |
|---|
| 998 | a5 = z*(a(ia+i)-0.25_wp*(a1+a2)) |
|---|
| 999 | a6 = zqrt5*(a1-a2) |
|---|
| 1000 | c(ja+j) = z*(a(ia+i)+(a1+a2)) |
|---|
| 1001 | c(jb+j) = a5 + a6 |
|---|
| 1002 | c(jc+j) = a5 - a6 |
|---|
| 1003 | d(jb+j) = -zsin72*a3 - zsin36*a4 |
|---|
| 1004 | d(jc+j) = -zsin36*a3 + zsin72*a4 |
|---|
| 1005 | i = i + inc3 |
|---|
| 1006 | j = j + inc4 |
|---|
| 1007 | ENDDO |
|---|
| 1008 | ibase = ibase + inc1 |
|---|
| 1009 | jbase = jbase + inc2 |
|---|
| 1010 | ENDDO |
|---|
| 1011 | |
|---|
| 1012 | ENDIF |
|---|
| 1013 | |
|---|
| 1014 | ! |
|---|
| 1015 | !-- Coding for factor 6 |
|---|
| 1016 | CASE ( 5 ) |
|---|
| 1017 | |
|---|
| 1018 | ia = 1 |
|---|
| 1019 | ib = ia + iink |
|---|
| 1020 | ic = ib + iink |
|---|
| 1021 | id = ic + iink |
|---|
| 1022 | ie = id + iink |
|---|
| 1023 | if = ie + iink |
|---|
| 1024 | ja = 1 |
|---|
| 1025 | jb = ja + (2*m-la) * inc2 |
|---|
| 1026 | jc = jb + 2*m*inc2 |
|---|
| 1027 | jd = jc + 2*m*inc2 |
|---|
| 1028 | je = jc |
|---|
| 1029 | jf = jb |
|---|
| 1030 | |
|---|
| 1031 | IF ( la /= m ) THEN |
|---|
| 1032 | |
|---|
| 1033 | DO l = 1, la |
|---|
| 1034 | i = ibase |
|---|
| 1035 | j = jbase |
|---|
| 1036 | !DIR$ IVDEP |
|---|
| 1037 | !CDIR NODEP |
|---|
| 1038 | !OCL NOVREC |
|---|
| 1039 | DO ijk = 1, lot |
|---|
| 1040 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
|---|
| 1041 | c(ja+j) = (a(ia+i)+a(id+i)) + a11 |
|---|
| 1042 | c(jc+j) = (a(ia+i)+a(id+i)-0.5_wp*a11) |
|---|
| 1043 | d(jc+j) = sin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
|---|
| 1044 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
|---|
| 1045 | c(jb+j) = (a(ia+i)-a(id+i)) - 0.5_wp*a11 |
|---|
| 1046 | d(jb+j) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1047 | c(jd+j) = (a(ia+i)-a(id+i)) + a11 |
|---|
| 1048 | i = i + inc3 |
|---|
| 1049 | j = j + inc4 |
|---|
| 1050 | ENDDO |
|---|
| 1051 | ibase = ibase + inc1 |
|---|
| 1052 | jbase = jbase + inc2 |
|---|
| 1053 | ENDDO |
|---|
| 1054 | ja = ja + jink |
|---|
| 1055 | jink = 2 * jink |
|---|
| 1056 | jb = jb + jink |
|---|
| 1057 | jc = jc + jink |
|---|
| 1058 | jd = jd - jink |
|---|
| 1059 | je = je - jink |
|---|
| 1060 | jf = jf - jink |
|---|
| 1061 | ibase = ibase + ijump |
|---|
| 1062 | ijump = 2 * ijump + iink |
|---|
| 1063 | |
|---|
| 1064 | IF ( jc /= jd ) THEN |
|---|
| 1065 | |
|---|
| 1066 | DO k = la, kstop, la |
|---|
| 1067 | kb = k + k |
|---|
| 1068 | kc = kb + kb |
|---|
| 1069 | kd = kc + kb |
|---|
| 1070 | ke = kd + kb |
|---|
| 1071 | kf = ke + kb |
|---|
| 1072 | c1 = trigs(kb+1) |
|---|
| 1073 | s1 = trigs(kb+2) |
|---|
| 1074 | c2 = trigs(kc+1) |
|---|
| 1075 | s2 = trigs(kc+2) |
|---|
| 1076 | c3 = trigs(kd+1) |
|---|
| 1077 | s3 = trigs(kd+2) |
|---|
| 1078 | c4 = trigs(ke+1) |
|---|
| 1079 | s4 = trigs(ke+2) |
|---|
| 1080 | c5 = trigs(kf+1) |
|---|
| 1081 | s5 = trigs(kf+2) |
|---|
| 1082 | jbase = 0 |
|---|
| 1083 | DO l = 1, la |
|---|
| 1084 | i = ibase |
|---|
| 1085 | j = jbase |
|---|
| 1086 | !DIR$ IVDEP |
|---|
| 1087 | !CDIR NODEP |
|---|
| 1088 | !OCL NOVREC |
|---|
| 1089 | DO ijk = 1, lot |
|---|
| 1090 | a1 = c1*a(ib+i) + s1*b(ib+i) |
|---|
| 1091 | b1 = c1*b(ib+i) - s1*a(ib+i) |
|---|
| 1092 | a2 = c2*a(ic+i) + s2*b(ic+i) |
|---|
| 1093 | b2 = c2*b(ic+i) - s2*a(ic+i) |
|---|
| 1094 | a3 = c3*a(id+i) + s3*b(id+i) |
|---|
| 1095 | b3 = c3*b(id+i) - s3*a(id+i) |
|---|
| 1096 | a4 = c4*a(ie+i) + s4*b(ie+i) |
|---|
| 1097 | b4 = c4*b(ie+i) - s4*a(ie+i) |
|---|
| 1098 | a5 = c5*a(if+i) + s5*b(if+i) |
|---|
| 1099 | b5 = c5*b(if+i) - s5*a(if+i) |
|---|
| 1100 | a11 = (a2+a5) + (a1+a4) |
|---|
| 1101 | a20 = (a(ia+i)+a3) - 0.5_wp*a11 |
|---|
| 1102 | a21 = sin60*((a2+a5)-(a1+a4)) |
|---|
| 1103 | b11 = (b2+b5) + (b1+b4) |
|---|
| 1104 | b20 = (b(ia+i)+b3) - 0.5_wp*b11 |
|---|
| 1105 | b21 = sin60*((b2+b5)-(b1+b4)) |
|---|
| 1106 | c(ja+j) = (a(ia+i)+a3) + a11 |
|---|
| 1107 | d(ja+j) = (b(ia+i)+b3) + b11 |
|---|
| 1108 | c(jc+j) = a20 - b21 |
|---|
| 1109 | d(jc+j) = a21 + b20 |
|---|
| 1110 | c(je+j) = a20 + b21 |
|---|
| 1111 | d(je+j) = a21 - b20 |
|---|
| 1112 | a11 = (a2-a5) + (a4-a1) |
|---|
| 1113 | a20 = (a(ia+i)-a3) - 0.5_wp*a11 |
|---|
| 1114 | a21 = sin60*((a4-a1)-(a2-a5)) |
|---|
| 1115 | b11 = (b5-b2) - (b4-b1) |
|---|
| 1116 | b20 = (b3-b(ia+i)) - 0.5_wp*b11 |
|---|
| 1117 | b21 = sin60*((b5-b2)+(b4-b1)) |
|---|
| 1118 | c(jb+j) = a20 - b21 |
|---|
| 1119 | d(jb+j) = a21 - b20 |
|---|
| 1120 | c(jd+j) = a11 + (a(ia+i)-a3) |
|---|
| 1121 | d(jd+j) = b11 + (b3-b(ia+i)) |
|---|
| 1122 | c(jf+j) = a20 + b21 |
|---|
| 1123 | d(jf+j) = a21 + b20 |
|---|
| 1124 | i = i + inc3 |
|---|
| 1125 | j = j + inc4 |
|---|
| 1126 | ENDDO |
|---|
| 1127 | ibase = ibase + inc1 |
|---|
| 1128 | jbase = jbase + inc2 |
|---|
| 1129 | ENDDO |
|---|
| 1130 | ibase = ibase + ijump |
|---|
| 1131 | ja = ja + jink |
|---|
| 1132 | jb = jb + jink |
|---|
| 1133 | jc = jc + jink |
|---|
| 1134 | jd = jd - jink |
|---|
| 1135 | je = je - jink |
|---|
| 1136 | jf = jf - jink |
|---|
| 1137 | ENDDO |
|---|
| 1138 | |
|---|
| 1139 | IF ( jc > jd ) RETURN |
|---|
| 1140 | |
|---|
| 1141 | ENDIF |
|---|
| 1142 | |
|---|
| 1143 | jbase = 0 |
|---|
| 1144 | DO l = 1, la |
|---|
| 1145 | i = ibase |
|---|
| 1146 | j = jbase |
|---|
| 1147 | !DIR$ IVDEP |
|---|
| 1148 | !CDIR NODEP |
|---|
| 1149 | !OCL NOVREC |
|---|
| 1150 | DO ijk = 1, lot |
|---|
| 1151 | c(ja+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) + sin60*(a(ib+i)-a(if+i)) |
|---|
| 1152 | d(ja+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) - sin60*(a(ic+i)+a(ie+i)) |
|---|
| 1153 | c(jb+j) = a(ia+i) - (a(ic+i)-a(ie+i)) |
|---|
| 1154 | d(jb+j) = a(id+i) - (a(ib+i)+a(if+i)) |
|---|
| 1155 | c(jc+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) - sin60*(a(ib+i)-a(if+i)) |
|---|
| 1156 | d(jc+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) + sin60*(a(ic+i)+a(ie+i)) |
|---|
| 1157 | i = i + inc3 |
|---|
| 1158 | j = j + inc4 |
|---|
| 1159 | ENDDO |
|---|
| 1160 | ibase = ibase + inc1 |
|---|
| 1161 | jbase = jbase + inc2 |
|---|
| 1162 | ENDDO |
|---|
| 1163 | |
|---|
| 1164 | ELSE |
|---|
| 1165 | |
|---|
| 1166 | z = 1.0_wp/REAL(n,KIND=wp) |
|---|
| 1167 | zsin60 = z*sin60 |
|---|
| 1168 | DO l = 1, la |
|---|
| 1169 | i = ibase |
|---|
| 1170 | j = jbase |
|---|
| 1171 | !DIR$ IVDEP |
|---|
| 1172 | !CDIR NODEP |
|---|
| 1173 | !OCL NOVREC |
|---|
| 1174 | DO ijk = 1, lot |
|---|
| 1175 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
|---|
| 1176 | c(ja+j) = z*((a(ia+i)+a(id+i))+a11) |
|---|
| 1177 | c(jc+j) = z*((a(ia+i)+a(id+i))-0.5_wp*a11) |
|---|
| 1178 | d(jc+j) = zsin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
|---|
| 1179 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
|---|
| 1180 | c(jb+j) = z*((a(ia+i)-a(id+i))-0.5_wp*a11) |
|---|
| 1181 | d(jb+j) = zsin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1182 | c(jd+j) = z*((a(ia+i)-a(id+i))+a11) |
|---|
| 1183 | i = i + inc3 |
|---|
| 1184 | j = j + inc4 |
|---|
| 1185 | ENDDO |
|---|
| 1186 | ibase = ibase + inc1 |
|---|
| 1187 | jbase = jbase + inc2 |
|---|
| 1188 | ENDDO |
|---|
| 1189 | |
|---|
| 1190 | ENDIF |
|---|
| 1191 | |
|---|
| 1192 | ! |
|---|
| 1193 | !-- Coding for factor 8 |
|---|
| 1194 | CASE ( 6 ) |
|---|
| 1195 | |
|---|
| 1196 | IF ( la /= m ) THEN |
|---|
| 1197 | ierr = 3 |
|---|
| 1198 | RETURN |
|---|
| 1199 | ENDIF |
|---|
| 1200 | |
|---|
| 1201 | ia = 1 |
|---|
| 1202 | ib = ia + iink |
|---|
| 1203 | ic = ib + iink |
|---|
| 1204 | id = ic + iink |
|---|
| 1205 | ie = id + iink |
|---|
| 1206 | if = ie + iink |
|---|
| 1207 | ig = if + iink |
|---|
| 1208 | ih = ig + iink |
|---|
| 1209 | ja = 1 |
|---|
| 1210 | jb = ja + la * inc2 |
|---|
| 1211 | jc = jb + 2*m*inc2 |
|---|
| 1212 | jd = jc + 2*m*inc2 |
|---|
| 1213 | je = jd + 2*m*inc2 |
|---|
| 1214 | z = 1.0_wp / REAL( n, KIND=wp ) |
|---|
| 1215 | zsin45 = z * SQRT( 0.5_wp ) |
|---|
| 1216 | |
|---|
| 1217 | DO l = 1, la |
|---|
| 1218 | i = ibase |
|---|
| 1219 | j = jbase |
|---|
| 1220 | |
|---|
| 1221 | !DIR$ IVDEP |
|---|
| 1222 | !CDIR NODEP |
|---|
| 1223 | !OCL NOVREC |
|---|
| 1224 | DO ijk = 1, lot |
|---|
| 1225 | c(ja+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))+((a(id+i)+ a(ih+i))+(a(ib+i)+a(if+i)))) |
|---|
| 1226 | c(je+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))-((a(id+i)+ a(ih+i))+(a(ib+i)+a(if+i)))) |
|---|
| 1227 | c(jc+j) = z*((a(ia+i)+a(ie+i))-(a(ic+i)+a(ig+i))) |
|---|
| 1228 | d(jc+j) = z*((a(id+i)+a(ih+i))-(a(ib+i)+a(if+i))) |
|---|
| 1229 | c(jb+j) = z*(a(ia+i)-a(ie+i)) + zsin45*((a(ih+i)-a(id+i))-(a(if+i)-a(ib+i))) |
|---|
| 1230 | c(jd+j) = z*(a(ia+i)-a(ie+i)) - zsin45*((a(ih+i)-a(id+i))-(a(if+i)-a(ib+i))) |
|---|
| 1231 | d(jb+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) + z*(a(ig+i)-a(ic+i)) |
|---|
| 1232 | d(jd+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) - z*(a(ig+i)-a(ic+i)) |
|---|
| 1233 | i = i + inc3 |
|---|
| 1234 | j = j + inc4 |
|---|
| 1235 | ENDDO |
|---|
| 1236 | ibase = ibase + inc1 |
|---|
| 1237 | jbase = jbase + inc2 |
|---|
| 1238 | ENDDO |
|---|
| 1239 | |
|---|
| 1240 | END SELECT |
|---|
| 1241 | |
|---|
| 1242 | END SUBROUTINE qpassm |
|---|
| 1243 | |
|---|
| 1244 | !------------------------------------------------------------------------------! |
|---|
| 1245 | ! Description: |
|---|
| 1246 | ! ------------ |
|---|
| 1247 | !> Same as qpassm, but for backward fft |
|---|
| 1248 | !------------------------------------------------------------------------------! |
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| 1249 | SUBROUTINE rpassm( a, b, c, d, trigs, inc1, inc2, inc3, inc4, lot, n, ifac, la, ierr ) |
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| 1250 | |
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| 1251 | USE kinds |
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| 1252 | |
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| 1253 | IMPLICIT NONE |
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| 1254 | |
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| 1255 | INTEGER(iwp) :: ierr !< |
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| 1256 | INTEGER(iwp) :: ifac !< |
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| 1257 | INTEGER(iwp) :: inc1 !< |
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| 1258 | INTEGER(iwp) :: inc2 !< |
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| 1259 | INTEGER(iwp) :: inc3 !< |
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| 1260 | INTEGER(iwp) :: inc4 !< |
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| 1261 | INTEGER(iwp) :: la !< |
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| 1262 | INTEGER(iwp) :: lot !< |
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| 1263 | INTEGER(iwp) :: n !< |
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| 1264 | ! |
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| 1265 | !-- Arrays are dimensioned with n |
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| 1266 | REAL(wp) :: a(*) !< |
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| 1267 | REAL(wp) :: b(*) !< |
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| 1268 | REAL(wp) :: c(*) !< |
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| 1269 | REAL(wp) :: d(*) !< |
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| 1270 | REAL(wp) :: trigs(*) !< |
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| 1271 | |
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| 1272 | REAL(wp) :: c1 !< |
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| 1273 | REAL(wp) :: c2 !< |
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| 1274 | REAL(wp) :: c3 !< |
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| 1275 | REAL(wp) :: c4 !< |
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| 1276 | REAL(wp) :: c5 !< |
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| 1277 | REAL(wp) :: qqrt5 !< |
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| 1278 | REAL(wp) :: qrt5 !< |
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| 1279 | REAL(wp) :: s1 !< |
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| 1280 | REAL(wp) :: s2 !< |
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| 1281 | REAL(wp) :: s3 !< |
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| 1282 | REAL(wp) :: s4 !< |
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| 1283 | REAL(wp) :: s5 !< |
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| 1284 | REAL(wp) :: sin36 !< |
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| 1285 | REAL(wp) :: sin45 !< |
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| 1286 | REAL(wp) :: sin60 !< |
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| 1287 | REAL(wp) :: sin72 !< |
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| 1288 | REAL(wp) :: ssin36 !< |
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| 1289 | REAL(wp) :: ssin45 !< |
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| 1290 | REAL(wp) :: ssin60 !< |
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| 1291 | REAL(wp) :: ssin72 !< |
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| 1292 | |
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| 1293 | INTEGER(iwp) :: i !< |
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| 1294 | INTEGER(iwp) :: ia !< |
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| 1295 | INTEGER(iwp) :: ib !< |
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| 1296 | INTEGER(iwp) :: ibase !< |
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| 1297 | INTEGER(iwp) :: ic !< |
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| 1298 | INTEGER(iwp) :: id !< |
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| 1299 | INTEGER(iwp) :: ie !< |
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| 1300 | INTEGER(iwp) :: if !< |
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| 1301 | INTEGER(iwp) :: igo !< |
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| 1302 | INTEGER(iwp) :: iink !< |
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| 1303 | INTEGER(iwp) :: ijk !< |
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| 1304 | INTEGER(iwp) :: j !< |
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| 1305 | INTEGER(iwp) :: ja !< |
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| 1306 | INTEGER(iwp) :: jb !< |
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| 1307 | INTEGER(iwp) :: jbase !< |
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| 1308 | INTEGER(iwp) :: jc !< |
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| 1309 | INTEGER(iwp) :: jd !< |
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| 1310 | INTEGER(iwp) :: je !< |
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| 1311 | INTEGER(iwp) :: jf !< |
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| 1312 | INTEGER(iwp) :: jg !< |
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| 1313 | INTEGER(iwp) :: jh !< |
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| 1314 | INTEGER(iwp) :: jink !< |
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| 1315 | INTEGER(iwp) :: jump !< |
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| 1316 | INTEGER(iwp) :: k !< |
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| 1317 | INTEGER(iwp) :: kb !< |
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| 1318 | INTEGER(iwp) :: kc !< |
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| 1319 | INTEGER(iwp) :: kd !< |
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| 1320 | INTEGER(iwp) :: ke !< |
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| 1321 | INTEGER(iwp) :: kf !< |
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| 1322 | INTEGER(iwp) :: kstop !< |
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| 1323 | INTEGER(iwp) :: l !< |
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| 1324 | INTEGER(iwp) :: m !< |
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| 1325 | |
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| 1326 | REAL(wp) :: a10(nfft) !< |
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| 1327 | REAL(wp) :: a11(nfft) !< |
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| 1328 | REAL(wp) :: a20(nfft) !< |
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| 1329 | REAL(wp) :: a21(nfft) !< |
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| 1330 | REAL(wp) :: b10(nfft) !< |
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| 1331 | REAL(wp) :: b11(nfft) !< |
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| 1332 | REAL(wp) :: b20(nfft) !< |
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| 1333 | REAL(wp) :: b21(nfft) !< |
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| 1334 | |
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| 1335 | |
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| 1336 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
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| 1337 | qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
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| 1338 | |
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| 1339 | |
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| 1340 | ierr = 0 |
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| 1341 | |
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| 1342 | m = n / ifac |
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| 1343 | iink = la * inc1 |
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| 1344 | jink = la * inc2 |
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| 1345 | jump = (ifac-1) * jink |
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| 1346 | kstop = (n-ifac) / (2*ifac) |
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| 1347 | |
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| 1348 | IF ( lot > nfft ) THEN |
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| 1349 | ierr = 1 |
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| 1350 | RETURN |
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| 1351 | ENDIF |
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| 1352 | ibase = 0 |
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| 1353 | jbase = 0 |
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| 1354 | igo = ifac - 1 |
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| 1355 | IF ( igo == 7 ) igo = 6 |
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| 1356 | IF ( igo < 1 .OR. igo > 6 ) THEN |
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| 1357 | ierr = 2 |
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| 1358 | RETURN |
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| 1359 | ENDIF |
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| 1360 | |
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| 1361 | |
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| 1362 | SELECT CASE ( igo ) |
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| 1363 | ! |
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| 1364 | !-- Coding for factor 2 |
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| 1365 | CASE ( 1 ) |
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| 1366 | |
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| 1367 | ia = 1 |
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| 1368 | ib = ia + (2*m-la) * inc1 |
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| 1369 | ja = 1 |
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| 1370 | jb = ja + jink |
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| 1371 | |
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| 1372 | IF ( la /= m ) THEN |
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| 1373 | |
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| 1374 | DO l = 1, la |
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| 1375 | i = ibase |
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| 1376 | j = jbase |
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| 1377 | !DIR$ IVDEP |
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| 1378 | !CDIR NODEP |
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| 1379 | !OCL NOVREC |
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| 1380 | DO ijk = 1, lot |
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| 1381 | c(ja+j) = a(ia+i) + a(ib+i) |
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| 1382 | c(jb+j) = a(ia+i) - a(ib+i) |
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| 1383 | i = i + inc3 |
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| 1384 | j = j + inc4 |
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| 1385 | ENDDO |
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| 1386 | ibase = ibase + inc1 |
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| 1387 | jbase = jbase + inc2 |
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| 1388 | ENDDO |
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| 1389 | |
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| 1390 | ia = ia + iink |
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| 1391 | iink = 2 * iink |
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| 1392 | ib = ib - iink |
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| 1393 | ibase = 0 |
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| 1394 | jbase = jbase + jump |
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| 1395 | jump = 2 * jump + jink |
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| 1396 | |
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| 1397 | IF ( ia /= ib ) THEN |
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| 1398 | |
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| 1399 | DO k = la, kstop, la |
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| 1400 | kb = k + k |
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| 1401 | c1 = trigs(kb+1) |
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| 1402 | s1 = trigs(kb+2) |
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| 1403 | ibase = 0 |
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| 1404 | DO l = 1, la |
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| 1405 | i = ibase |
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| 1406 | j = jbase |
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| 1407 | !DIR$ IVDEP |
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| 1408 | !CDIR NODEP |
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| 1409 | !OCL NOVREC |
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| 1410 | DO ijk = 1, lot |
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| 1411 | c(ja+j) = a(ia+i) + a(ib+i) |
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| 1412 | d(ja+j) = b(ia+i) - b(ib+i) |
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| 1413 | c(jb+j) = c1*(a(ia+i)-a(ib+i)) - s1*(b(ia+i)+b(ib+i)) |
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| 1414 | d(jb+j) = s1*(a(ia+i)-a(ib+i)) + c1*(b(ia+i)+b(ib+i)) |
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| 1415 | i = i + inc3 |
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| 1416 | j = j + inc4 |
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| 1417 | ENDDO |
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| 1418 | ibase = ibase + inc1 |
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| 1419 | jbase = jbase + inc2 |
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| 1420 | ENDDO |
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| 1421 | ia = ia + iink |
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| 1422 | ib = ib - iink |
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| 1423 | jbase = jbase + jump |
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| 1424 | ENDDO |
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| 1425 | |
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| 1426 | IF ( ia > ib ) RETURN |
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| 1427 | |
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| 1428 | ENDIF |
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| 1429 | |
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| 1430 | ibase = 0 |
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| 1431 | DO l = 1, la |
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| 1432 | i = ibase |
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| 1433 | j = jbase |
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| 1434 | !DIR$ IVDEP |
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| 1435 | !CDIR NODEP |
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| 1436 | !OCL NOVREC |
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| 1437 | DO ijk = 1, lot |
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| 1438 | c(ja+j) = a(ia+i) |
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| 1439 | c(jb+j) = -b(ia+i) |
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| 1440 | i = i + inc3 |
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| 1441 | j = j + inc4 |
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| 1442 | ENDDO |
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| 1443 | ibase = ibase + inc1 |
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| 1444 | jbase = jbase + inc2 |
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| 1445 | ENDDO |
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| 1446 | |
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| 1447 | ELSE |
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| 1448 | |
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| 1449 | DO l = 1, la |
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| 1450 | i = ibase |
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| 1451 | j = jbase |
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| 1452 | !DIR$ IVDEP |
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| 1453 | !CDIR NODEP |
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| 1454 | !OCL NOVREC |
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| 1455 | DO ijk = 1, lot |
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| 1456 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
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| 1457 | c(jb+j) = 2.0_wp*(a(ia+i)-a(ib+i)) |
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| 1458 | i = i + inc3 |
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| 1459 | j = j + inc4 |
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| 1460 | ENDDO |
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| 1461 | ibase = ibase + inc1 |
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| 1462 | jbase = jbase + inc2 |
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| 1463 | ENDDO |
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| 1464 | |
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| 1465 | ENDIF |
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| 1466 | |
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| 1467 | ! |
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| 1468 | !-- Coding for factor 3 |
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| 1469 | CASE ( 2 ) |
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| 1470 | |
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| 1471 | ia = 1 |
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| 1472 | ib = ia + (2*m-la) * inc1 |
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| 1473 | ic = ib |
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| 1474 | ja = 1 |
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| 1475 | jb = ja + jink |
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| 1476 | jc = jb + jink |
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| 1477 | |
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| 1478 | IF ( la /= m ) THEN |
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| 1479 | |
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| 1480 | DO l = 1, la |
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| 1481 | i = ibase |
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| 1482 | j = jbase |
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| 1483 | !DIR$ IVDEP |
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| 1484 | !CDIR NODEP |
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| 1485 | !OCL NOVREC |
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| 1486 | DO ijk = 1, lot |
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| 1487 | c(ja+j) = a(ia+i) + a(ib+i) |
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| 1488 | c(jb+j) = (a(ia+i)-0.5_wp*a(ib+i)) - (sin60*(b(ib+i))) |
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| 1489 | c(jc+j) = (a(ia+i)-0.5_wp*a(ib+i)) + (sin60*(b(ib+i))) |
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| 1490 | i = i + inc3 |
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| 1491 | j = j + inc4 |
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| 1492 | ENDDO |
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| 1493 | ibase = ibase + inc1 |
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| 1494 | jbase = jbase + inc2 |
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| 1495 | ENDDO |
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| 1496 | ia = ia + iink |
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| 1497 | iink = 2 * iink |
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| 1498 | ib = ib + iink |
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| 1499 | ic = ic - iink |
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| 1500 | jbase = jbase + jump |
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| 1501 | jump = 2 * jump + jink |
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| 1502 | |
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| 1503 | IF ( ia /= ic ) THEN |
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| 1504 | |
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| 1505 | DO k = la, kstop, la |
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| 1506 | kb = k + k |
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| 1507 | kc = kb + kb |
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| 1508 | c1 = trigs(kb+1) |
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| 1509 | s1 = trigs(kb+2) |
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| 1510 | c2 = trigs(kc+1) |
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| 1511 | s2 = trigs(kc+2) |
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| 1512 | ibase = 0 |
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| 1513 | DO l = 1, la |
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| 1514 | i = ibase |
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| 1515 | j = jbase |
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| 1516 | !DIR$ IVDEP |
|---|
| 1517 | !CDIR NODEP |
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| 1518 | !OCL NOVREC |
|---|
| 1519 | DO ijk = 1, lot |
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| 1520 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
|---|
| 1521 | d(ja+j) = b(ia+i) + (b(ib+i)-b(ic+i)) |
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| 1522 | c(jb+j) = c1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ b(ic+i)))) & |
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| 1523 | - s1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- a(ic+i)))) |
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| 1524 | d(jb+j) = s1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ b(ic+i)))) & |
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| 1525 | + c1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- a(ic+i)))) |
|---|
| 1526 | c(jc+j) = c2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ b(ic+i)))) & |
|---|
| 1527 | - s2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- a(ic+i)))) |
|---|
| 1528 | d(jc+j) = s2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ b(ic+i)))) & |
|---|
| 1529 | + c2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- a(ic+i)))) |
|---|
| 1530 | i = i + inc3 |
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| 1531 | j = j + inc4 |
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| 1532 | ENDDO |
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| 1533 | ibase = ibase + inc1 |
|---|
| 1534 | jbase = jbase + inc2 |
|---|
| 1535 | ENDDO |
|---|
| 1536 | ia = ia + iink |
|---|
| 1537 | ib = ib + iink |
|---|
| 1538 | ic = ic - iink |
|---|
| 1539 | jbase = jbase + jump |
|---|
| 1540 | ENDDO |
|---|
| 1541 | |
|---|
| 1542 | IF ( ia > ic ) RETURN |
|---|
| 1543 | |
|---|
| 1544 | ENDIF |
|---|
| 1545 | |
|---|
| 1546 | ibase = 0 |
|---|
| 1547 | DO l = 1, la |
|---|
| 1548 | i = ibase |
|---|
| 1549 | j = jbase |
|---|
| 1550 | !DIR$ IVDEP |
|---|
| 1551 | !CDIR NODEP |
|---|
| 1552 | !OCL NOVREC |
|---|
| 1553 | DO ijk = 1, lot |
|---|
| 1554 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1555 | c(jb+j) = (0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
|---|
| 1556 | c(jc+j) = -(0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
|---|
| 1557 | i = i + inc3 |
|---|
| 1558 | j = j + inc4 |
|---|
| 1559 | ENDDO |
|---|
| 1560 | ibase = ibase + inc1 |
|---|
| 1561 | jbase = jbase + inc2 |
|---|
| 1562 | ENDDO |
|---|
| 1563 | |
|---|
| 1564 | ELSE |
|---|
| 1565 | |
|---|
| 1566 | ssin60 = 2.0_wp * sin60 |
|---|
| 1567 | DO l = 1, la |
|---|
| 1568 | i = ibase |
|---|
| 1569 | j = jbase |
|---|
| 1570 | !DIR$ IVDEP |
|---|
| 1571 | !CDIR NODEP |
|---|
| 1572 | !OCL NOVREC |
|---|
| 1573 | DO ijk = 1, lot |
|---|
| 1574 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
|---|
| 1575 | c(jb+j) = (2.0_wp*a(ia+i)-a(ib+i)) - (ssin60*b(ib+i)) |
|---|
| 1576 | c(jc+j) = (2.0_wp*a(ia+i)-a(ib+i)) + (ssin60*b(ib+i)) |
|---|
| 1577 | i = i + inc3 |
|---|
| 1578 | j = j + inc4 |
|---|
| 1579 | ENDDO |
|---|
| 1580 | ibase = ibase + inc1 |
|---|
| 1581 | jbase = jbase + inc2 |
|---|
| 1582 | ENDDO |
|---|
| 1583 | |
|---|
| 1584 | ENDIF |
|---|
| 1585 | |
|---|
| 1586 | ! |
|---|
| 1587 | !-- Coding for factor 4 |
|---|
| 1588 | CASE ( 3 ) |
|---|
| 1589 | |
|---|
| 1590 | ia = 1 |
|---|
| 1591 | ib = ia + (2*m-la) * inc1 |
|---|
| 1592 | ic = ib + 2*m*inc1 |
|---|
| 1593 | id = ib |
|---|
| 1594 | ja = 1 |
|---|
| 1595 | jb = ja + jink |
|---|
| 1596 | jc = jb + jink |
|---|
| 1597 | jd = jc + jink |
|---|
| 1598 | |
|---|
| 1599 | IF ( la /= m ) THEN |
|---|
| 1600 | |
|---|
| 1601 | DO l = 1, la |
|---|
| 1602 | i = ibase |
|---|
| 1603 | j = jbase |
|---|
| 1604 | !DIR$ IVDEP |
|---|
| 1605 | !CDIR NODEP |
|---|
| 1606 | !OCL NOVREC |
|---|
| 1607 | DO ijk = 1, lot |
|---|
| 1608 | c(ja+j) = (a(ia+i)+a(ic+i)) + a(ib+i) |
|---|
| 1609 | c(jb+j) = (a(ia+i)-a(ic+i)) - b(ib+i) |
|---|
| 1610 | c(jc+j) = (a(ia+i)+a(ic+i)) - a(ib+i) |
|---|
| 1611 | c(jd+j) = (a(ia+i)-a(ic+i)) + b(ib+i) |
|---|
| 1612 | i = i + inc3 |
|---|
| 1613 | j = j + inc4 |
|---|
| 1614 | ENDDO |
|---|
| 1615 | ibase = ibase + inc1 |
|---|
| 1616 | jbase = jbase + inc2 |
|---|
| 1617 | ENDDO |
|---|
| 1618 | ia = ia + iink |
|---|
| 1619 | iink = 2 * iink |
|---|
| 1620 | ib = ib + iink |
|---|
| 1621 | ic = ic - iink |
|---|
| 1622 | id = id - iink |
|---|
| 1623 | jbase = jbase + jump |
|---|
| 1624 | jump = 2 * jump + jink |
|---|
| 1625 | |
|---|
| 1626 | IF ( ib /= ic ) THEN |
|---|
| 1627 | |
|---|
| 1628 | DO k = la, kstop, la |
|---|
| 1629 | kb = k + k |
|---|
| 1630 | kc = kb + kb |
|---|
| 1631 | kd = kc + kb |
|---|
| 1632 | c1 = trigs(kb+1) |
|---|
| 1633 | s1 = trigs(kb+2) |
|---|
| 1634 | c2 = trigs(kc+1) |
|---|
| 1635 | s2 = trigs(kc+2) |
|---|
| 1636 | c3 = trigs(kd+1) |
|---|
| 1637 | s3 = trigs(kd+2) |
|---|
| 1638 | ibase = 0 |
|---|
| 1639 | DO l = 1, la |
|---|
| 1640 | i = ibase |
|---|
| 1641 | j = jbase |
|---|
| 1642 | !DIR$ IVDEP |
|---|
| 1643 | !CDIR NODEP |
|---|
| 1644 | !OCL NOVREC |
|---|
| 1645 | DO ijk = 1, lot |
|---|
| 1646 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
|---|
| 1647 | d(ja+j) = (b(ia+i)-b(ic+i)) + (b(ib+i)-b(id+i)) |
|---|
| 1648 | c(jc+j) = c2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) - s2*((b(ia+i)-b(ic+i))& |
|---|
| 1649 | -(b(ib+i)-b(id+i))) |
|---|
| 1650 | d(jc+j) = s2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) + c2*((b(ia+i)-b(ic+i))& |
|---|
| 1651 | -(b(ib+i)-b(id+i))) |
|---|
| 1652 | c(jb+j) = c1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) - s1*((b(ia+i)+b(ic+i))& |
|---|
| 1653 | +(a(ib+i)-a(id+i))) |
|---|
| 1654 | d(jb+j) = s1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) + c1*((b(ia+i)+b(ic+i))& |
|---|
| 1655 | +(a(ib+i)-a(id+i))) |
|---|
| 1656 | c(jd+j) = c3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) - s3*((b(ia+i)+b(ic+i))& |
|---|
| 1657 | -(a(ib+i)-a(id+i))) |
|---|
| 1658 | d(jd+j) = s3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) + c3*((b(ia+i)+b(ic+i))& |
|---|
| 1659 | -(a(ib+i)-a(id+i))) |
|---|
| 1660 | i = i + inc3 |
|---|
| 1661 | j = j + inc4 |
|---|
| 1662 | ENDDO |
|---|
| 1663 | ibase = ibase + inc1 |
|---|
| 1664 | jbase = jbase + inc2 |
|---|
| 1665 | ENDDO |
|---|
| 1666 | ia = ia + iink |
|---|
| 1667 | ib = ib + iink |
|---|
| 1668 | ic = ic - iink |
|---|
| 1669 | id = id - iink |
|---|
| 1670 | jbase = jbase + jump |
|---|
| 1671 | ENDDO |
|---|
| 1672 | |
|---|
| 1673 | IF ( ib > ic ) RETURN |
|---|
| 1674 | |
|---|
| 1675 | ENDIF |
|---|
| 1676 | |
|---|
| 1677 | ibase = 0 |
|---|
| 1678 | sin45 = SQRT( 0.5_wp ) |
|---|
| 1679 | DO l = 1, la |
|---|
| 1680 | i = ibase |
|---|
| 1681 | j = jbase |
|---|
| 1682 | !DIR$ IVDEP |
|---|
| 1683 | !CDIR NODEP |
|---|
| 1684 | !OCL NOVREC |
|---|
| 1685 | DO ijk = 1, lot |
|---|
| 1686 | c(ja+j) = a(ia+i) + a(ib+i) |
|---|
| 1687 | c(jb+j) = sin45*((a(ia+i)-a(ib+i))-(b(ia+i)+b(ib+i))) |
|---|
| 1688 | c(jc+j) = b(ib+i) - b(ia+i) |
|---|
| 1689 | c(jd+j) = -sin45*((a(ia+i)-a(ib+i))+(b(ia+i)+b(ib+i))) |
|---|
| 1690 | i = i + inc3 |
|---|
| 1691 | j = j + inc4 |
|---|
| 1692 | ENDDO |
|---|
| 1693 | ibase = ibase + inc1 |
|---|
| 1694 | jbase = jbase + inc2 |
|---|
| 1695 | ENDDO |
|---|
| 1696 | |
|---|
| 1697 | ELSE |
|---|
| 1698 | |
|---|
| 1699 | DO l = 1, la |
|---|
| 1700 | i = ibase |
|---|
| 1701 | j = jbase |
|---|
| 1702 | !DIR$ IVDEP |
|---|
| 1703 | !CDIR NODEP |
|---|
| 1704 | !OCL NOVREC |
|---|
| 1705 | DO ijk = 1, lot |
|---|
| 1706 | c(ja+j) = 2.0_wp*((a(ia+i)+a(ic+i))+a(ib+i)) |
|---|
| 1707 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ic+i))-b(ib+i)) |
|---|
| 1708 | c(jc+j) = 2.0_wp*((a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 1709 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ic+i))+b(ib+i)) |
|---|
| 1710 | i = i + inc3 |
|---|
| 1711 | j = j + inc4 |
|---|
| 1712 | ENDDO |
|---|
| 1713 | ibase = ibase + inc1 |
|---|
| 1714 | jbase = jbase + inc2 |
|---|
| 1715 | ENDDO |
|---|
| 1716 | |
|---|
| 1717 | ENDIF |
|---|
| 1718 | |
|---|
| 1719 | ! |
|---|
| 1720 | !-- Coding for factor 5 |
|---|
| 1721 | CASE ( 4 ) |
|---|
| 1722 | |
|---|
| 1723 | ia = 1 |
|---|
| 1724 | ib = ia + (2*m-la) * inc1 |
|---|
| 1725 | ic = ib + 2*m*inc1 |
|---|
| 1726 | id = ic |
|---|
| 1727 | ie = ib |
|---|
| 1728 | ja = 1 |
|---|
| 1729 | jb = ja + jink |
|---|
| 1730 | jc = jb + jink |
|---|
| 1731 | jd = jc + jink |
|---|
| 1732 | je = jd + jink |
|---|
| 1733 | |
|---|
| 1734 | IF ( la /= m ) THEN |
|---|
| 1735 | |
|---|
| 1736 | DO l = 1, la |
|---|
| 1737 | i = ibase |
|---|
| 1738 | j = jbase |
|---|
| 1739 | !DIR$ IVDEP |
|---|
| 1740 | !CDIR NODEP |
|---|
| 1741 | !OCL NOVREC |
|---|
| 1742 | DO ijk = 1, lot |
|---|
| 1743 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
|---|
| 1744 | c(jb+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) - & |
|---|
| 1745 | (sin72*b(ib+i)+sin36*b(ic+i)) |
|---|
| 1746 | c(jc+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) - & |
|---|
| 1747 | (sin36*b(ib+i)-sin72*b(ic+i)) |
|---|
| 1748 | c(jd+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) + & |
|---|
| 1749 | (sin36*b(ib+i)-sin72*b(ic+i)) |
|---|
| 1750 | c(je+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) + & |
|---|
| 1751 | (sin72*b(ib+i)+sin36*b(ic+i)) |
|---|
| 1752 | i = i + inc3 |
|---|
| 1753 | j = j + inc4 |
|---|
| 1754 | ENDDO |
|---|
| 1755 | ibase = ibase + inc1 |
|---|
| 1756 | jbase = jbase + inc2 |
|---|
| 1757 | ENDDO |
|---|
| 1758 | ia = ia + iink |
|---|
| 1759 | iink = 2 * iink |
|---|
| 1760 | ib = ib + iink |
|---|
| 1761 | ic = ic + iink |
|---|
| 1762 | id = id - iink |
|---|
| 1763 | ie = ie - iink |
|---|
| 1764 | jbase = jbase + jump |
|---|
| 1765 | jump = 2 * jump + jink |
|---|
| 1766 | |
|---|
| 1767 | IF ( ib /= id ) THEN |
|---|
| 1768 | |
|---|
| 1769 | DO k = la, kstop, la |
|---|
| 1770 | kb = k + k |
|---|
| 1771 | kc = kb + kb |
|---|
| 1772 | kd = kc + kb |
|---|
| 1773 | ke = kd + kb |
|---|
| 1774 | c1 = trigs(kb+1) |
|---|
| 1775 | s1 = trigs(kb+2) |
|---|
| 1776 | c2 = trigs(kc+1) |
|---|
| 1777 | s2 = trigs(kc+2) |
|---|
| 1778 | c3 = trigs(kd+1) |
|---|
| 1779 | s3 = trigs(kd+2) |
|---|
| 1780 | c4 = trigs(ke+1) |
|---|
| 1781 | s4 = trigs(ke+2) |
|---|
| 1782 | ibase = 0 |
|---|
| 1783 | DO l = 1, la |
|---|
| 1784 | i = ibase |
|---|
| 1785 | j = jbase |
|---|
| 1786 | !DIR$ IVDEP |
|---|
| 1787 | !CDIR NODEP |
|---|
| 1788 | !OCL NOVREC |
|---|
| 1789 | DO ijk = 1, lot |
|---|
| 1790 | a10(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) + & |
|---|
| 1791 | qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
|---|
| 1792 | a20(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) - & |
|---|
| 1793 | qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
|---|
| 1794 | b10(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) + & |
|---|
| 1795 | qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
|---|
| 1796 | b20(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) - & |
|---|
| 1797 | qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
|---|
| 1798 | a11(ijk) = sin72*(b(ib+i)+b(ie+i)) + sin36*(b(ic+i)+b(id+i)) |
|---|
| 1799 | a21(ijk) = sin36*(b(ib+i)+b(ie+i)) - sin72*(b(ic+i)+b(id+i)) |
|---|
| 1800 | b11(ijk) = sin72*(a(ib+i)-a(ie+i)) + sin36*(a(ic+i)-a(id+i)) |
|---|
| 1801 | b21(ijk) = sin36*(a(ib+i)-a(ie+i)) - sin72*(a(ic+i)-a(id+i)) |
|---|
| 1802 | c(ja+j) = a(ia+i) + ((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i))) |
|---|
| 1803 | d(ja+j) = b(ia+i) + ((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i))) |
|---|
| 1804 | c(jb+j) = c1*(a10(ijk)-a11(ijk)) - s1*(b10(ijk)+b11(ijk)) |
|---|
| 1805 | d(jb+j) = s1*(a10(ijk)-a11(ijk)) + c1*(b10(ijk)+b11(ijk)) |
|---|
| 1806 | c(je+j) = c4*(a10(ijk)+a11(ijk)) - s4*(b10(ijk)-b11(ijk)) |
|---|
| 1807 | d(je+j) = s4*(a10(ijk)+a11(ijk)) + c4*(b10(ijk)-b11(ijk)) |
|---|
| 1808 | c(jc+j) = c2*(a20(ijk)-a21(ijk)) - s2*(b20(ijk)+b21(ijk)) |
|---|
| 1809 | d(jc+j) = s2*(a20(ijk)-a21(ijk)) + c2*(b20(ijk)+b21(ijk)) |
|---|
| 1810 | c(jd+j) = c3*(a20(ijk)+a21(ijk)) - s3*(b20(ijk)-b21(ijk)) |
|---|
| 1811 | d(jd+j) = s3*(a20(ijk)+a21(ijk)) + c3*(b20(ijk)-b21(ijk)) |
|---|
| 1812 | |
|---|
| 1813 | i = i + inc3 |
|---|
| 1814 | j = j + inc4 |
|---|
| 1815 | ENDDO |
|---|
| 1816 | ibase = ibase + inc1 |
|---|
| 1817 | jbase = jbase + inc2 |
|---|
| 1818 | ENDDO |
|---|
| 1819 | ia = ia + iink |
|---|
| 1820 | ib = ib + iink |
|---|
| 1821 | ic = ic + iink |
|---|
| 1822 | id = id - iink |
|---|
| 1823 | ie = ie - iink |
|---|
| 1824 | jbase = jbase + jump |
|---|
| 1825 | ENDDO |
|---|
| 1826 | |
|---|
| 1827 | IF ( ib > id ) RETURN |
|---|
| 1828 | |
|---|
| 1829 | ENDIF |
|---|
| 1830 | |
|---|
| 1831 | ibase = 0 |
|---|
| 1832 | DO l = 1, la |
|---|
| 1833 | i = ibase |
|---|
| 1834 | j = jbase |
|---|
| 1835 | !DIR$ IVDEP |
|---|
| 1836 | !CDIR NODEP |
|---|
| 1837 | !OCL NOVREC |
|---|
| 1838 | DO ijk = 1, lot |
|---|
| 1839 | c(ja+j) = (a(ia+i)+a(ib+i)) + a(ic+i) |
|---|
| 1840 | c(jb+j) = (qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1841 | (sin36*b(ia+i)+sin72*b(ib+i)) |
|---|
| 1842 | c(je+j) = -(qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1843 | (sin36*b(ia+i)+sin72*b(ib+i)) |
|---|
| 1844 | c(jc+j) = (qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1845 | (sin72*b(ia+i)-sin36*b(ib+i)) |
|---|
| 1846 | c(jd+j) = -(qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
|---|
| 1847 | (sin72*b(ia+i)-sin36*b(ib+i)) |
|---|
| 1848 | i = i + inc3 |
|---|
| 1849 | j = j + inc4 |
|---|
| 1850 | ENDDO |
|---|
| 1851 | ibase = ibase + inc1 |
|---|
| 1852 | jbase = jbase + inc2 |
|---|
| 1853 | ENDDO |
|---|
| 1854 | |
|---|
| 1855 | ELSE |
|---|
| 1856 | |
|---|
| 1857 | qqrt5 = 2.0_wp * qrt5 |
|---|
| 1858 | ssin36 = 2.0_wp * sin36 |
|---|
| 1859 | ssin72 = 2.0_wp * sin72 |
|---|
| 1860 | DO l = 1, la |
|---|
| 1861 | i = ibase |
|---|
| 1862 | j = jbase |
|---|
| 1863 | !DIR$ IVDEP |
|---|
| 1864 | !CDIR NODEP |
|---|
| 1865 | !OCL NOVREC |
|---|
| 1866 | DO ijk = 1, lot |
|---|
| 1867 | c(ja+j) = 2.0_wp*(a(ia+i)+(a(ib+i)+a(ic+i))) |
|---|
| 1868 | c(jb+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+i))) & |
|---|
| 1869 | - (ssin72*b(ib+i)+ssin36*b(ic+i)) |
|---|
| 1870 | c(jc+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+i))) & |
|---|
| 1871 | - (ssin36*b(ib+i)-ssin72*b(ic+i)) |
|---|
| 1872 | c(jd+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+i))) & |
|---|
| 1873 | + (ssin36*b(ib+i)-ssin72*b(ic+i)) |
|---|
| 1874 | c(je+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+i))) & |
|---|
| 1875 | + (ssin72*b(ib+i)+ssin36*b(ic+i)) |
|---|
| 1876 | i = i + inc3 |
|---|
| 1877 | j = j + inc4 |
|---|
| 1878 | ENDDO |
|---|
| 1879 | ibase = ibase + inc1 |
|---|
| 1880 | jbase = jbase + inc2 |
|---|
| 1881 | ENDDO |
|---|
| 1882 | |
|---|
| 1883 | ENDIF |
|---|
| 1884 | |
|---|
| 1885 | ! |
|---|
| 1886 | !-- Coding for factor 6 |
|---|
| 1887 | CASE ( 5 ) |
|---|
| 1888 | |
|---|
| 1889 | ia = 1 |
|---|
| 1890 | ib = ia + (2*m-la) * inc1 |
|---|
| 1891 | ic = ib + 2*m*inc1 |
|---|
| 1892 | id = ic + 2*m*inc1 |
|---|
| 1893 | ie = ic |
|---|
| 1894 | if = ib |
|---|
| 1895 | ja = 1 |
|---|
| 1896 | jb = ja + jink |
|---|
| 1897 | jc = jb + jink |
|---|
| 1898 | jd = jc + jink |
|---|
| 1899 | je = jd + jink |
|---|
| 1900 | jf = je + jink |
|---|
| 1901 | |
|---|
| 1902 | IF ( la /= m ) THEN |
|---|
| 1903 | |
|---|
| 1904 | DO l = 1, la |
|---|
| 1905 | i = ibase |
|---|
| 1906 | j = jbase |
|---|
| 1907 | !DIR$ IVDEP |
|---|
| 1908 | !CDIR NODEP |
|---|
| 1909 | !OCL NOVREC |
|---|
| 1910 | DO ijk = 1, lot |
|---|
| 1911 | c(ja+j) = (a(ia+i)+a(id+i)) + (a(ib+i)+a(ic+i)) |
|---|
| 1912 | c(jd+j) = (a(ia+i)-a(id+i)) - (a(ib+i)-a(ic+i)) |
|---|
| 1913 | c(jb+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) - (sin60*(b(ib+i)+b(ic+i))) |
|---|
| 1914 | c(jf+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) + (sin60*(b(ib+i)+b(ic+i))) |
|---|
| 1915 | c(jc+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) - (sin60*(b(ib+i)-b(ic+i))) |
|---|
| 1916 | c(je+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) + (sin60*(b(ib+i)-b(ic+i))) |
|---|
| 1917 | i = i + inc3 |
|---|
| 1918 | j = j + inc4 |
|---|
| 1919 | ENDDO |
|---|
| 1920 | ibase = ibase + inc1 |
|---|
| 1921 | jbase = jbase + inc2 |
|---|
| 1922 | ENDDO |
|---|
| 1923 | ia = ia + iink |
|---|
| 1924 | iink = 2 * iink |
|---|
| 1925 | ib = ib + iink |
|---|
| 1926 | ic = ic + iink |
|---|
| 1927 | id = id - iink |
|---|
| 1928 | ie = ie - iink |
|---|
| 1929 | if = if - iink |
|---|
| 1930 | jbase = jbase + jump |
|---|
| 1931 | jump = 2 * jump + jink |
|---|
| 1932 | |
|---|
| 1933 | IF ( ic /= id ) THEN |
|---|
| 1934 | |
|---|
| 1935 | DO k = la, kstop, la |
|---|
| 1936 | kb = k + k |
|---|
| 1937 | kc = kb + kb |
|---|
| 1938 | kd = kc + kb |
|---|
| 1939 | ke = kd + kb |
|---|
| 1940 | kf = ke + kb |
|---|
| 1941 | c1 = trigs(kb+1) |
|---|
| 1942 | s1 = trigs(kb+2) |
|---|
| 1943 | c2 = trigs(kc+1) |
|---|
| 1944 | s2 = trigs(kc+2) |
|---|
| 1945 | c3 = trigs(kd+1) |
|---|
| 1946 | s3 = trigs(kd+2) |
|---|
| 1947 | c4 = trigs(ke+1) |
|---|
| 1948 | s4 = trigs(ke+2) |
|---|
| 1949 | c5 = trigs(kf+1) |
|---|
| 1950 | s5 = trigs(kf+2) |
|---|
| 1951 | ibase = 0 |
|---|
| 1952 | DO l = 1, la |
|---|
| 1953 | i = ibase |
|---|
| 1954 | j = jbase |
|---|
| 1955 | !DIR$ IVDEP |
|---|
| 1956 | !CDIR NODEP |
|---|
| 1957 | !OCL NOVREC |
|---|
| 1958 | DO ijk = 1, lot |
|---|
| 1959 | a11(ijk) = (a(ie+i)+a(ib+i)) + (a(ic+i)+a(if+i)) |
|---|
| 1960 | a20(ijk) = (a(ia+i)+a(id+i)) - 0.5_wp*a11(ijk) |
|---|
| 1961 | a21(ijk) = sin60*((a(ie+i)+a(ib+i))-(a(ic+i)+a(if+i))) |
|---|
| 1962 | b11(ijk) = (b(ib+i)-b(ie+i)) + (b(ic+i)-b(if+i)) |
|---|
| 1963 | b20(ijk) = (b(ia+i)-b(id+i)) - 0.5_wp*b11(ijk) |
|---|
| 1964 | b21(ijk) = sin60*((b(ib+i)-b(ie+i))-(b(ic+i)-b(if+i))) |
|---|
| 1965 | |
|---|
| 1966 | c(ja+j) = (a(ia+i)+a(id+i)) + a11(ijk) |
|---|
| 1967 | d(ja+j) = (b(ia+i)-b(id+i)) + b11(ijk) |
|---|
| 1968 | c(jc+j) = c2*(a20(ijk)-b21(ijk)) - s2*(b20(ijk)+a21(ijk)) |
|---|
| 1969 | d(jc+j) = s2*(a20(ijk)-b21(ijk)) + c2*(b20(ijk)+a21(ijk)) |
|---|
| 1970 | c(je+j) = c4*(a20(ijk)+b21(ijk)) - s4*(b20(ijk)-a21(ijk)) |
|---|
| 1971 | d(je+j) = s4*(a20(ijk)+b21(ijk)) + c4*(b20(ijk)-a21(ijk)) |
|---|
| 1972 | |
|---|
| 1973 | a11(ijk) = (a(ie+i)-a(ib+i)) + (a(ic+i)-a(if+i)) |
|---|
| 1974 | b11(ijk) = (b(ie+i)+b(ib+i)) - (b(ic+i)+b(if+i)) |
|---|
| 1975 | a20(ijk) = (a(ia+i)-a(id+i)) - 0.5_wp*a11(ijk) |
|---|
| 1976 | a21(ijk) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
|---|
| 1977 | b20(ijk) = (b(ia+i)+b(id+i)) + 0.5_wp*b11(ijk) |
|---|
| 1978 | b21(ijk) = sin60*((b(ie+i)+b(ib+i))+(b(ic+i)+b(if+i))) |
|---|
| 1979 | |
|---|
| 1980 | c(jd+j) = c3*((a(ia+i)-a(id+i))+a11(ijk)) - s3*((b(ia+i)+b(id+i))-b11(ijk)) |
|---|
| 1981 | d(jd+j) = s3*((a(ia+i)-a(id+i))+a11(ijk)) + c3*((b(ia+i)+b(id+i))-b11(ijk)) |
|---|
| 1982 | c(jb+j) = c1*(a20(ijk)-b21(ijk)) - s1*(b20(ijk)-a21(ijk)) |
|---|
| 1983 | d(jb+j) = s1*(a20(ijk)-b21(ijk)) + c1*(b20(ijk)-a21(ijk)) |
|---|
| 1984 | c(jf+j) = c5*(a20(ijk)+b21(ijk)) - s5*(b20(ijk)+a21(ijk)) |
|---|
| 1985 | d(jf+j) = s5*(a20(ijk)+b21(ijk)) + c5*(b20(ijk)+a21(ijk)) |
|---|
| 1986 | |
|---|
| 1987 | i = i + inc3 |
|---|
| 1988 | j = j + inc4 |
|---|
| 1989 | ENDDO |
|---|
| 1990 | ibase = ibase + inc1 |
|---|
| 1991 | jbase = jbase + inc2 |
|---|
| 1992 | ENDDO |
|---|
| 1993 | ia = ia + iink |
|---|
| 1994 | ib = ib + iink |
|---|
| 1995 | ic = ic + iink |
|---|
| 1996 | id = id - iink |
|---|
| 1997 | ie = ie - iink |
|---|
| 1998 | if = if - iink |
|---|
| 1999 | jbase = jbase + jump |
|---|
| 2000 | ENDDO |
|---|
| 2001 | |
|---|
| 2002 | IF ( ic > id ) RETURN |
|---|
| 2003 | |
|---|
| 2004 | ENDIF |
|---|
| 2005 | |
|---|
| 2006 | ibase = 0 |
|---|
| 2007 | DO l = 1, la |
|---|
| 2008 | i = ibase |
|---|
| 2009 | j = jbase |
|---|
| 2010 | !DIR$ IVDEP |
|---|
| 2011 | !CDIR NODEP |
|---|
| 2012 | !OCL NOVREC |
|---|
| 2013 | DO ijk = 1, lot |
|---|
| 2014 | c(ja+j) = a(ib+i) + (a(ia+i)+a(ic+i)) |
|---|
| 2015 | c(jd+j) = b(ib+i) - (b(ia+i)+b(ic+i)) |
|---|
| 2016 | c(jb+j) = (sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
|---|
| 2017 | c(jf+j) = -(sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
|---|
| 2018 | c(jc+j) = sin60*(b(ic+i)-b(ia+i)) + (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 2019 | c(je+j) = sin60*(b(ic+i)-b(ia+i)) - (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
|---|
| 2020 | i = i + inc3 |
|---|
| 2021 | j = j + inc4 |
|---|
| 2022 | ENDDO |
|---|
| 2023 | ibase = ibase + inc1 |
|---|
| 2024 | jbase = jbase + inc2 |
|---|
| 2025 | ENDDO |
|---|
| 2026 | |
|---|
| 2027 | ELSE |
|---|
| 2028 | |
|---|
| 2029 | ssin60 = 2.0_wp * sin60 |
|---|
| 2030 | DO l = 1, la |
|---|
| 2031 | i = ibase |
|---|
| 2032 | j = jbase |
|---|
| 2033 | !DIR$ IVDEP |
|---|
| 2034 | !CDIR NODEP |
|---|
| 2035 | !OCL NOVREC |
|---|
| 2036 | DO ijk = 1, lot |
|---|
| 2037 | c(ja+j) = (2.0_wp*(a(ia+i)+a(id+i))) + (2.0_wp*(a(ib+i)+a(ic+i))) |
|---|
| 2038 | c(jd+j) = (2.0_wp*(a(ia+i)-a(id+i))) - (2.0_wp*(a(ib+i)-a(ic+i))) |
|---|
| 2039 | c(jb+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) - (ssin60*(b(ib+i)+b(ic+i))) |
|---|
| 2040 | c(jf+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) + (ssin60*(b(ib+i)+b(ic+i))) |
|---|
| 2041 | c(jc+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) - (ssin60*(b(ib+i)-b(ic+i))) |
|---|
| 2042 | c(je+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) + (ssin60*(b(ib+i)-b(ic+i))) |
|---|
| 2043 | i = i + inc3 |
|---|
| 2044 | j = j + inc4 |
|---|
| 2045 | ENDDO |
|---|
| 2046 | ibase = ibase + inc1 |
|---|
| 2047 | jbase = jbase + inc2 |
|---|
| 2048 | ENDDO |
|---|
| 2049 | |
|---|
| 2050 | ENDIF |
|---|
| 2051 | |
|---|
| 2052 | ! |
|---|
| 2053 | !-- Coding for factor 8 |
|---|
| 2054 | CASE ( 6 ) |
|---|
| 2055 | |
|---|
| 2056 | IF ( la /= m ) THEN |
|---|
| 2057 | ierr = 3 |
|---|
| 2058 | RETURN |
|---|
| 2059 | ENDIF |
|---|
| 2060 | |
|---|
| 2061 | ia = 1 |
|---|
| 2062 | ib = ia + la*inc1 |
|---|
| 2063 | ic = ib + 2*la*inc1 |
|---|
| 2064 | id = ic + 2*la*inc1 |
|---|
| 2065 | ie = id + 2*la*inc1 |
|---|
| 2066 | ja = 1 |
|---|
| 2067 | jb = ja + jink |
|---|
| 2068 | jc = jb + jink |
|---|
| 2069 | jd = jc + jink |
|---|
| 2070 | je = jd + jink |
|---|
| 2071 | jf = je + jink |
|---|
| 2072 | jg = jf + jink |
|---|
| 2073 | jh = jg + jink |
|---|
| 2074 | ssin45 = SQRT( 2.0_wp ) |
|---|
| 2075 | |
|---|
| 2076 | DO l = 1, la |
|---|
| 2077 | i = ibase |
|---|
| 2078 | j = jbase |
|---|
| 2079 | !DIR$ IVDEP |
|---|
| 2080 | !CDIR NODEP |
|---|
| 2081 | !OCL NOVREC |
|---|
| 2082 | DO ijk = 1, lot |
|---|
| 2083 | c(ja+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))+(a(ib+i)+a(id+i))) |
|---|
| 2084 | c(je+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))-(a(ib+i)+a(id+i))) |
|---|
| 2085 | c(jc+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))-(b(ib+i)-b(id+i))) |
|---|
| 2086 | c(jg+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))+(b(ib+i)-b(id+i))) |
|---|
| 2087 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) + ssin45*((a(ib+i)-a(id+i))-(b(ib+i)+b(id+i))) |
|---|
| 2088 | c(jf+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) - ssin45*((a(ib+i)-a(id+i))-(b(ib+i)+b(id+i))) |
|---|
| 2089 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) - ssin45*((a(ib+i)-a(id+i))+(b(ib+i)+b(id+i))) |
|---|
| 2090 | c(jh+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) + ssin45*((a(ib+i)-a(id+i))+(b(ib+i)+b(id+i))) |
|---|
| 2091 | i = i + inc3 |
|---|
| 2092 | j = j + inc4 |
|---|
| 2093 | ENDDO |
|---|
| 2094 | ibase = ibase + inc1 |
|---|
| 2095 | jbase = jbase + inc2 |
|---|
| 2096 | ENDDO |
|---|
| 2097 | |
|---|
| 2098 | END SELECT |
|---|
| 2099 | |
|---|
| 2100 | END SUBROUTINE rpassm |
|---|
| 2101 | |
|---|
| 2102 | !------------------------------------------------------------------------------! |
|---|
| 2103 | ! Description: |
|---|
| 2104 | ! ------------ |
|---|
| 2105 | !> Computes factors of n & trigonometric functins required by fft99 & fft991cy |
|---|
| 2106 | !> Method: Dimension trigs(n),ifax(1),jfax(10),lfax(7) |
|---|
| 2107 | !> subroutine 'set99' - computes factors of n & trigonometric |
|---|
| 2108 | !> functins required by fft99 & fft991cy |
|---|
| 2109 | !------------------------------------------------------------------------------! |
|---|
| 2110 | SUBROUTINE set99( trigs, ifax, n ) |
|---|
| 2111 | |
|---|
| 2112 | |
|---|
| 2113 | USE control_parameters, & |
|---|
| 2114 | ONLY: message_string |
|---|
| 2115 | |
|---|
| 2116 | USE kinds |
|---|
| 2117 | |
|---|
| 2118 | IMPLICIT NONE |
|---|
| 2119 | |
|---|
| 2120 | INTEGER(iwp) :: n !< |
|---|
| 2121 | |
|---|
| 2122 | INTEGER(iwp) :: ifax(*) !< |
|---|
| 2123 | REAL(wp) :: trigs(*) !< |
|---|
| 2124 | |
|---|
| 2125 | |
|---|
| 2126 | REAL(wp) :: angle !< |
|---|
| 2127 | REAL(wp) :: del !< |
|---|
| 2128 | INTEGER(iwp) :: i !< |
|---|
| 2129 | INTEGER(iwp) :: ifac !< |
|---|
| 2130 | INTEGER(iwp) :: ixxx !< |
|---|
| 2131 | INTEGER(iwp) :: k !< |
|---|
| 2132 | INTEGER(iwp) :: l !< |
|---|
| 2133 | INTEGER(iwp) :: nfax !< |
|---|
| 2134 | INTEGER(iwp) :: nhl !< |
|---|
| 2135 | INTEGER(iwp) :: nil !< |
|---|
| 2136 | INTEGER(iwp) :: nu !< |
|---|
| 2137 | |
|---|
| 2138 | INTEGER(iwp) :: jfax(10) !< |
|---|
| 2139 | INTEGER(iwp) :: lfax(7) !< |
|---|
| 2140 | |
|---|
| 2141 | DATA lfax / 6, 8, 5, 4, 3, 2, 1 / |
|---|
| 2142 | |
|---|
| 2143 | |
|---|
| 2144 | ixxx = 1 |
|---|
| 2145 | |
|---|
| 2146 | del = 4.0_wp * ASIN( 1.0_wp ) / REAL( n, KIND=wp ) |
|---|
| 2147 | nil = 0 |
|---|
| 2148 | nhl = (n/2) - 1 |
|---|
| 2149 | DO k = nil, nhl |
|---|
| 2150 | angle = REAL( k, KIND=wp ) * del |
|---|
| 2151 | trigs(2*k+1) = COS( angle ) |
|---|
| 2152 | trigs(2*k+2) = SIN( angle ) |
|---|
| 2153 | ENDDO |
|---|
| 2154 | |
|---|
| 2155 | ! |
|---|
| 2156 | !-- Find factors of n (8,6,5,4,3,2; only one 8 allowed). |
|---|
| 2157 | !-- Look for sixes first, store factors in descending order. |
|---|
| 2158 | nu = n |
|---|
| 2159 | ifac = 6 |
|---|
| 2160 | k = 0 |
|---|
| 2161 | l = 1 |
|---|
| 2162 | |
|---|
| 2163 | DO |
|---|
| 2164 | |
|---|
| 2165 | IF ( MOD( nu, ifac ) == 0 ) THEN |
|---|
| 2166 | k = k + 1 |
|---|
| 2167 | jfax(k) = ifac |
|---|
| 2168 | IF ( ifac == 8 .AND. k /= 1 ) THEN |
|---|
| 2169 | jfax(1) = 8 |
|---|
| 2170 | jfax(k) = 6 |
|---|
| 2171 | ENDIF |
|---|
| 2172 | nu = nu/ifac |
|---|
| 2173 | IF ( nu == 1 ) EXIT |
|---|
| 2174 | IF ( ifac /= 8 ) CYCLE |
|---|
| 2175 | ENDIF |
|---|
| 2176 | |
|---|
| 2177 | l = l + 1 |
|---|
| 2178 | ifac = lfax(l) |
|---|
| 2179 | IF (ifac < 2 ) THEN |
|---|
| 2180 | message_string = 'number of gridpoints along x or/and y ' // & |
|---|
| 2181 | 'contain illegal factors' // & |
|---|
| 2182 | '&only factors 2, 3, 5 are allowed' |
|---|
| 2183 | CALL message( 'temperton_fft', 'PA0311', 1, 2, 0, 6, 0 ) |
|---|
| 2184 | RETURN |
|---|
| 2185 | ENDIF |
|---|
| 2186 | |
|---|
| 2187 | ENDDO |
|---|
| 2188 | ! |
|---|
| 2189 | !-- Now reverse order of factors |
|---|
| 2190 | nfax = k |
|---|
| 2191 | ifax(1) = nfax |
|---|
| 2192 | DO i = 1, nfax |
|---|
| 2193 | ifax(nfax+2-i) = jfax(i) |
|---|
| 2194 | ENDDO |
|---|
| 2195 | ifax(10) = n |
|---|
| 2196 | |
|---|
| 2197 | END SUBROUTINE set99 |
|---|
| 2198 | |
|---|
| 2199 | END MODULE temperton_fft |
|---|
