1 | ! Transformee de Fourier complexe-reelle multiple |
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2 | |
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3 | program tjmcsfftm |
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4 | |
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5 | implicit none |
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6 | |
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7 | integer, parameter :: m = 1 |
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8 | integer, parameter :: n = 8 |
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9 | complex, dimension(0:n/2,0:m-1) :: x, xx |
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10 | real, dimension(0:n/2,0:m-1,2) :: rx |
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11 | equivalence ( x, rx ) |
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12 | real, dimension(0:n-1,0:m-1) :: y |
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13 | |
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14 | ! Pour stocker les cosinus et les sinus |
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15 | integer, parameter :: ntable = 100+2*n |
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16 | real, dimension(0:ntable-1) :: table |
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17 | |
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18 | ! En fait, les routines jm n'ont besoin que de 2*n*m |
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19 | integer, parameter :: nwork = (2*n+4)*m |
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20 | real, dimension(0:nwork-1) :: work |
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21 | |
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22 | integer :: isign |
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23 | real :: scale |
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24 | integer :: isys |
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25 | integer :: i, j, k |
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26 | real :: twopi |
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27 | complex :: s |
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28 | |
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29 | ! On prepare le tableau d'entree sans forcer a 0 les termes necessaires |
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30 | call random_number( rx ) |
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31 | xx = x |
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32 | |
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33 | scale = 1. |
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34 | isys = 0 |
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35 | |
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36 | isign = 0 |
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37 | call csfftm(isign,n,m,scale,x,n/2+1,y,n,table,work,isys) |
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38 | isign = 1 |
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39 | print *,'jmcsfftm ',n,m,isign,scale |
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40 | call csfftm(isign,n,m,scale,x,n/2+1,y,n,table,work,isys) |
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41 | |
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42 | ! On imprime le tableau de sortie |
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43 | open(10,file='temp1',status='unknown',form='formatted') |
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44 | write(10,'(e25.12)') y |
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45 | close(10) |
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46 | |
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47 | ! Ce qu'il faut trouver |
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48 | open(11,file='temp2',status='unknown',form='formatted') |
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49 | twopi = 2 * acos(real(-1)) |
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50 | ! On reprepare le tableau d'entree en forcant a 0 les termes necessaires |
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51 | x = xx |
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52 | x(0,:) = cmplx( real( x(0,:) ), 0 ) |
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53 | if ( mod( n, 2 ) == 0 ) x(n/2,:) = cmplx( real( x(n/2,:) ), 0 ) |
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54 | ! Et on calcule |
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55 | do j = 0,m-1 |
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56 | do i = 0,n-1 |
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57 | s = 0 |
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58 | do k = 0,n/2 |
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59 | s = s+cmplx(cos(twopi*i*k/real(n)),isign*sin(twopi*i*k/real(n)))*x(k,j) |
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60 | end do |
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61 | do k = n/2+1,n-1 |
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62 | s = s+cmplx(cos(twopi*i*k/real(n)),isign*sin(twopi*i*k/real(n)))* & |
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63 | & conjg(x(n-k,j)) |
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64 | end do |
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65 | write(11,'(2e25.12)') real(s*scale) |
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66 | end do |
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67 | end do |
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68 | close(11) |
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69 | |
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70 | end program tjmcsfftm |
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