7 |
INTEGER jfiltnu, jfiltnv |
INTEGER jfiltnu, jfiltnv |
8 |
! index of the last scalar line filtered in northern hemisphere |
! index of the last scalar line filtered in northern hemisphere |
9 |
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|
10 |
real, allocatable:: matriceun(:, :, :) ! (iim, iim, 2:jfiltnu) |
real, pointer:: matriceun(:, :, :) ! (iim, iim, jfiltnu - 1) |
11 |
! matrice filtre pour les champs situes sur la grille scalaire |
! matrice filtre pour les champs situes sur la grille scalaire |
12 |
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13 |
real, allocatable:: matrinvn(:, :, :) ! (iim, iim, 2:jfiltnu) |
real, pointer:: matrinvn(:, :, :) ! (iim, iim, jfiltnu - 1) |
14 |
! matrice filtre pour les champs situes sur la grille scalaire, pour |
! matrice filtre pour les champs situes sur la grille scalaire, pour |
15 |
! le filtre inverse |
! le filtre inverse |
16 |
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17 |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
real, pointer:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
18 |
! matrice filtre pour les champs situes sur la grille de V ou de Z |
! matrice filtre pour les champs situes sur la grille de V ou de Z |
19 |
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20 |
! South: |
! South: |
22 |
integer jfiltsu, jfiltsv |
integer jfiltsu, jfiltsv |
23 |
! index of the first line filtered in southern hemisphere |
! index of the first line filtered in southern hemisphere |
24 |
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25 |
real, allocatable:: matriceus(:, :, :) ! (iim, iim, jfiltsu:jjm) |
real, pointer:: matriceus(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
26 |
! matrice filtre pour les champs situes sur la grille scalaire |
! matrice filtre pour les champs situes sur la grille scalaire |
27 |
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28 |
real, allocatable:: matrinvs(:, :, :) ! (iim, iim, jfiltsu:jjm) |
real, pointer:: matrinvs(:, :, :) ! (iim, iim, jjm - jfiltsu + 1) |
29 |
! matrice filtre pour les champs situes sur la grille scalaire, pour |
! matrice filtre pour les champs situes sur la grille scalaire, pour |
30 |
! le filtre inverse |
! le filtre inverse |
31 |
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32 |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
real, pointer:: matricevs(:, :, :) ! (iim, iim, jjm - jfiltsv + 1) |
33 |
! matrice filtre pour les champs situes sur la grille de V ou de Z |
! matrice filtre pour les champs situes sur la grille de V ou de Z |
34 |
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35 |
contains |
contains |
49 |
USE dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
50 |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
51 |
use inifgn_m, only: inifgn |
use inifgn_m, only: inifgn |
52 |
|
use inifilr_hemisph_m, only: inifilr_hemisph |
53 |
use jumble, only: new_unit |
use jumble, only: new_unit |
54 |
use nr_util, only: pi |
use nr_util, only: pi, ifirstloc |
55 |
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56 |
! Local: |
! Local: |
57 |
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58 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
59 |
REAL rlamda(2:iim) |
REAL rlamda(2:iim) ! > 0, in descending order |
60 |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
61 |
INTEGER i, j, unit |
INTEGER j, unit |
62 |
REAL colat0 ! > 0 |
REAL colat0 ! > 0 |
63 |
REAL eignft(iim, iim) |
integer j1 ! index of smallest positive latitude |
64 |
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65 |
real eignfnu(iim, iim), eignfnv(iim, iim) |
real eignfnu(iim, iim), eignfnv(iim, iim) |
66 |
! eigenvectors of the discrete second derivative with respect to longitude |
! eigenvectors of the discrete second derivative with respect to longitude |
67 |
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
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real coefil(iim) |
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! Index of the mode from where modes are filtered: |
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integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
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integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm) |
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integer, allocatable:: modfrstnv(:) ! (jfiltnv) |
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integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm) |
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68 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
69 |
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70 |
print *, "Call sequence information: inifilr" |
print *, "Call sequence information: inifilr" |
77 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
78 |
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|
79 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
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! D\'etermination de jfilt[ns][uv] : |
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jfiltnu = (jjm + 1) / 2 |
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do while (cos(rlatu(jfiltnu)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
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jfiltnu = jfiltnu - 1 |
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end do |
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jfiltsu = jjm / 2 + 2 |
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do while (cos(rlatu(jfiltsu)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
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jfiltsu = jfiltsu + 1 |
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end do |
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jfiltnv = jjm / 2 |
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do while ((cos(rlatv(jfiltnv)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
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jfiltnv = jfiltnv - 1 |
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end do |
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if (cos(rlatv(jfiltnv)) >= colat0 & |
|
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.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
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! {jfiltnv == 1} |
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PRINT *, 'Could not find jfiltnv.' |
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STOP 1 |
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END IF |
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jfiltsv = (jjm + 1)/ 2 + 1 |
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do while ((cos(rlatv(jfiltsv)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
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jfiltsv = jfiltsv + 1 |
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end do |
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IF (cos(rlatv(jfiltsv)) >= colat0 & |
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.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
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! {jfiltsv == jjm} |
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PRINT *, 'Could not find jfiltsv.' |
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STOP 1 |
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END IF |
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PRINT *, 'jfiltnu =', jfiltnu |
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PRINT *, 'jfiltsu =', jfiltsu |
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PRINT *, 'jfiltnv =', jfiltnv |
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PRINT *, 'jfiltsv =', jfiltsv |
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! D\'etermination de modfrst[ns][uv] : |
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allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
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allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
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DO j = 2, jfiltnu |
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modfrstnu(j) = 2 |
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do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
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.and. modfrstnu(j) <= iim - 1) |
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modfrstnu(j) = modfrstnu(j) + 1 |
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end do |
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END DO |
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DO j = 1, jfiltnv |
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modfrstnv(j) = 2 |
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do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
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.and. modfrstnv(j) <= iim - 1) |
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modfrstnv(j) = modfrstnv(j) + 1 |
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end do |
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end DO |
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DO j = jfiltsu, jjm |
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modfrstsu(j) = 2 |
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do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
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.and. modfrstsu(j) <= iim - 1) |
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modfrstsu(j) = modfrstsu(j) + 1 |
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end do |
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end DO |
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DO j = jfiltsv, jjm |
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modfrstsv(j) = 2 |
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do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
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.and. modfrstsv(j) <= iim - 1) |
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modfrstsv(j) = modfrstsv(j) + 1 |
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end do |
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END DO |
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80 |
call new_unit(unit) |
call new_unit(unit) |
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|
81 |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
82 |
write(unit, fmt = *) '"EIGNVL"', eignvl |
write(unit, fmt = *) '"EIGNVL"', eignvl |
83 |
close(unit) |
close(unit) |
84 |
|
open(unit, file = "modfrst.csv", status = "replace", action = "write") |
85 |
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write(unit, fmt = *) '"rlat (degrees)" modfrst' ! title line |
86 |
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87 |
open(unit, file = "modfrstnu.csv", status = "replace", action = "write") |
! D\'etermination de jfilt[ns][uv] : |
|
write(unit, fmt = *) '"rlatu (degrees north)" modfrstnu ' & |
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// '"rlamda(modfrstnu) * cos(rlatu) < 1"' |
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DO j = 2, jfiltnu |
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write(unit, fmt = *) rlatu(j) / pi * 180., modfrstnu(j), & |
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rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1 |
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end DO |
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close(unit) |
|
88 |
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89 |
open(unit, file = "modfrstnv.csv", status = "replace", action = "write") |
j1 = jjm + 1 - ifirstloc(rlatu(jjm:1:- 1) >= 0.) |
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write(unit, fmt = *) '"rlatv (degrees north)" modfrstnv ' & |
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// '"rlamda(modfrstnv) * cos(rlatv) < 1"' |
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DO j = 1, jfiltnv |
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write(unit, fmt = *) rlatv(j) / pi * 180., modfrstnv(j), & |
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rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1 |
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end DO |
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close(unit) |
|
90 |
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91 |
open(unit, file = "modfrstsu.csv", status = "replace", action = "write") |
call inifilr_hemisph(rlatu(j1:2:- 1), colat0, rlamda, unit, eignfnv, & |
92 |
write(unit, fmt = *) '"rlatu (degrees north)" modfrstsu ' & |
jfiltnu, matriceun, matrinvn) |
93 |
// '"rlamda(modfrstsu) * cos(rlatu) < 1"' |
jfiltnu = j1 + 1 - jfiltnu |
94 |
DO j = jfiltsu, jjm |
matriceun = matriceun(:, :, jfiltnu - 1:1:- 1) |
95 |
write(unit, fmt = *) rlatu(j) / pi * 180., modfrstsu(j), & |
matrinvn = matrinvn(:, :, jfiltnu - 1:1:- 1) |
|
rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1 |
|
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end DO |
|
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close(unit) |
|
96 |
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|
97 |
open(unit, file = "modfrstsv.csv", status = "replace", action = "write") |
call inifilr_hemisph(- rlatu(j1 + 1:jjm), colat0, rlamda, unit, eignfnv, & |
98 |
write(unit, fmt = *) '"rlatv (degrees north)" modfrstsv ' & |
jfiltsu, matriceus, matrinvs) |
99 |
// '"rlamda(modfrstsv) * cos(rlatv) < 1"' |
jfiltsu = j1 + jfiltsu |
100 |
DO j = jfiltsv, jjm |
|
101 |
write(unit, fmt = *) rlatv(j) / pi * 180., modfrstsv(j), & |
j1 = jjm + 1 - ifirstloc(rlatv(jjm:1:- 1) >= 0.) |
102 |
rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1 |
|
103 |
end DO |
call inifilr_hemisph(rlatv(j1:1:- 1), colat0, rlamda, unit, eignfnu, & |
104 |
close(unit) |
jfiltnv, matricevn) |
105 |
|
jfiltnv = j1 + 1 - jfiltnv |
106 |
|
matricevn = matricevn(:, :, jfiltnv:1:- 1) |
107 |
|
|
108 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
call inifilr_hemisph(- rlatv(j1 + 1:jjm), colat0, rlamda, unit, eignfnu, & |
109 |
allocate(matricevn(iim, iim, jfiltnv)) |
jfiltsv, matricevs) |
110 |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
jfiltsv = j1 + jfiltsv |
111 |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
|
112 |
|
close(unit) |
113 |
! Calcul de matriceu et matrinv |
PRINT *, 'jfiltnu =', jfiltnu |
114 |
|
PRINT *, 'jfiltsu =', jfiltsu |
115 |
DO j = 2, jfiltnu |
PRINT *, 'jfiltnv =', jfiltnv |
116 |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
PRINT *, 'jfiltsv =', jfiltsv |
|
DO i = modfrstnu(j), iim |
|
|
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
|
|
end DO |
|
|
|
|
|
eignft(:modfrstnu(j) - 1, :) = 0. |
|
|
|
|
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
|
|
matriceun(:, :, j) = matmul(eignfnv, eignft) |
|
|
|
|
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
|
|
* coefil(i) / (1. + coefil(i)) |
|
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
|
|
else |
|
|
matriceun(:, :, j) = 0. |
|
|
matrinvn(:, :, j) = 0. |
|
|
end if |
|
|
END DO |
|
|
|
|
|
DO j = jfiltsu, jjm |
|
|
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
|
|
DO i = modfrstsu(j), iim |
|
|
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
|
|
end DO |
|
|
|
|
|
eignft(:modfrstsu(j) - 1, :) = 0. |
|
|
|
|
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
|
|
matriceus(:, :, j) = matmul(eignfnv, eignft) |
|
|
|
|
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
|
|
* coefil(i) / (1. + coefil(i)) |
|
|
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
|
|
else |
|
|
matriceus(:, :, j) = 0. |
|
|
matrinvs(:, :, j) = 0. |
|
|
end if |
|
|
END DO |
|
|
|
|
|
! Calcul de matricev |
|
|
|
|
|
DO j = 1, jfiltnv |
|
|
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
|
|
DO i = modfrstnv(j), iim |
|
|
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
|
|
end DO |
|
|
|
|
|
eignft(:modfrstnv(j) - 1, :) = 0. |
|
|
forall (i = modfrstnv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
|
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
|
|
else |
|
|
matricevn(:, :, j) = 0. |
|
|
end if |
|
|
END DO |
|
|
|
|
|
DO j = jfiltsv, jjm |
|
|
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
|
|
DO i = modfrstsv(j), iim |
|
|
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
|
|
end DO |
|
|
|
|
|
eignft(:modfrstsv(j) - 1, :) = 0. |
|
|
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
|
|
matricevs(:, :, j) = matmul(eignfnu, eignft) |
|
|
else |
|
|
matricevs(:, :, j) = 0. |
|
|
end if |
|
|
END DO |
|
117 |
|
|
118 |
END SUBROUTINE inifilr |
END SUBROUTINE inifilr |
119 |
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