| 1 | MODULE rotations |
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| 2 | !----------------------------------------------------------------------- |
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| 3 | |
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| 4 | USE kinds_mod ! defines common data types |
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| 5 | USE constants ! defines common constants |
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| 6 | USE mod_parameter |
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| 7 | USE mod_unit |
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| 8 | USE mod_printing |
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| 9 | USE mod_unitncdf |
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| 10 | |
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| 11 | IMPLICIT NONE |
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| 12 | |
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| 13 | #include <netcdf.inc> |
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| 14 | |
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| 15 | REAL (KIND=dbl_kind), PARAMETER :: & |
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| 16 | rp_deg2rad = pi/180. ! Conversion from degrees to radians |
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| 17 | |
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| 18 | ! |
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| 19 | ! This module contains necessary routines for transformations between |
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| 20 | ! the referentials Cartesian, spheric and streched spheric. |
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| 21 | ! |
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| 22 | |
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| 23 | ! History: |
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| 24 | ! -------- |
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| 25 | ! E. Rapaport 2004/03 Created |
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| 26 | ! |
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| 27 | |
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| 28 | CONTAINS |
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| 29 | |
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| 30 | !----------------------------------------------------------------------- |
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| 31 | |
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| 32 | SUBROUTINE angel(cd_grd_name, id_grd_size, & |
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| 33 | rda_sin_alpha, rda_cos_alpha) |
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| 34 | |
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| 35 | CHARACTER (LEN=8), INTENT(in) :: & |
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| 36 | cd_grd_name ! grid name |
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| 37 | |
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| 38 | INTEGER (KIND=int_kind), INTENT(in) :: & |
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| 39 | id_grd_size ! grid size |
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| 40 | |
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| 41 | CHARACTER(LEN=8) :: & |
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| 42 | name_ang ! name of the angle valew in grids.nc |
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| 43 | |
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| 44 | REAL (KIND=dbl_kind), DIMENSION (:), ALLOCATABLE :: & |
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| 45 | rla_alpha ! the angel between the direction j in streched and the |
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| 46 | ! north-south in spheric coordonate system |
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| 47 | |
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| 48 | INTEGER (KIND=int_kind) :: & |
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| 49 | il_stat, il_varid, il_vtype, & ! netcdf variables |
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| 50 | icount, ilenstr, i |
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| 51 | |
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| 52 | !RETURN VALUE: |
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| 53 | |
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| 54 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size), INTENT(out) :: & |
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| 55 | rda_sin_alpha,& ! the sinus and cosinus for the angel between the |
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| 56 | rda_cos_alpha ! direction j in streched and the north-south |
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| 57 | ! in spheric |
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| 58 | |
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| 59 | ! !DESCRIPTION: |
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| 60 | ! |
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| 61 | ! This routine finds the cosinus and sinus of the angle between the |
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| 62 | ! north-south direction in a spheric referential and the direction |
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| 63 | ! of gridlines j in a streched spheric referential. |
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| 64 | ! If there is no angel information in file grids.nc we stop. |
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| 65 | ! |
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| 66 | |
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| 67 | IF (nlogprt .GE. 2) THEN |
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| 68 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 69 | WRITE (UNIT = nulou,FMT = *) & |
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| 70 | ' ROUTINE angel - Level ?' |
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| 71 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 72 | CALL FLUSH(nulou) |
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| 73 | ENDIF |
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| 74 | |
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| 75 | IF (lncdfgrd) THEN |
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| 76 | icount = ilenstr(cd_grd_name,jpeight) |
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| 77 | name_ang = cd_grd_name(1:icount)//'.ang' |
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| 78 | |
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| 79 | CALL hdlerr & |
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| 80 | (NF_OPEN('grids.nc',NF_NOWRITE,nc_grdid),'angel') |
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| 81 | |
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| 82 | il_stat = NF_INQ_VARID(nc_grdid, name_ang, il_varid) |
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| 83 | |
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| 84 | IF (il_stat < 0) THEN |
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| 85 | WRITE (UNIT = nulou,FMT = *) & |
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| 86 | 'File grids.nc contains no angle information,' |
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| 87 | WRITE (UNIT = nulou,FMT = *) & |
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| 88 | 'OASIS will stop' |
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| 89 | STOP |
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| 90 | ELSE IF (il_stat == 0) THEN |
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| 91 | ! |
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| 92 | !** Get angle information from file grids.nc |
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| 93 | ! |
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| 94 | ALLOCATE(rla_alpha(id_grd_size)) |
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| 95 | |
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| 96 | CALL hdlerr(NF_GET_VAR_DOUBLE & |
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| 97 | (nc_grdid, il_varid, rla_alpha),'angel') |
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| 98 | |
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| 99 | rda_sin_alpha(:) = SIN(rp_deg2rad*rla_alpha(:)) |
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| 100 | rda_cos_alpha(:) = COS(rp_deg2rad*rla_alpha(:)) |
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| 101 | |
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| 102 | DEALLOCATE(rla_alpha) |
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| 103 | END IF |
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| 104 | ELSE |
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| 105 | il_stat = -1 |
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| 106 | END IF |
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| 107 | |
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| 108 | IF (nlogprt .GE. 2) THEN |
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| 109 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 110 | WRITE (UNIT = nulou,FMT = *) & |
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| 111 | ' --------- End of routine angel ---------' |
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| 112 | CALL FLUSH (nulou) |
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| 113 | ENDIF |
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| 114 | |
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| 115 | END SUBROUTINE angel |
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| 116 | ! |
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| 117 | !----------------------------------------------------------------------- |
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| 118 | ! |
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| 119 | SUBROUTINE loc2spher(cd_grd_name, id_grd_size, rda_trans) |
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| 120 | |
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| 121 | CHARACTER (LEN=8),INTENT(in) :: & |
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| 122 | cd_grd_name ! grid name |
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| 123 | |
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| 124 | INTEGER (KIND=int_kind), INTENT(in) :: & |
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| 125 | id_grd_size ! grid size |
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| 126 | |
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| 127 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size) :: & |
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| 128 | rla_sin_alpha, & ! the sinus and cosinus for the angel between the |
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| 129 | rla_cos_alpha ! direction j in streched and the north-south |
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| 130 | ! in spheric |
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| 131 | ! !RETURN VALUE: |
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| 132 | |
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| 133 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size,2,2), INTENT(out) :: & |
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| 134 | rda_trans |
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| 135 | |
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| 136 | ! !DESCRIPTION: |
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| 137 | ! |
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| 138 | ! This routine finds the transformation matrix between a local stretched |
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| 139 | ! spheric referential and a regulier spheric referential. |
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| 140 | ! |
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| 141 | |
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| 142 | IF (nlogprt .GE. 2) THEN |
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| 143 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 144 | WRITE (UNIT = nulou,FMT = *) & |
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| 145 | ' ROUTINE loc2spher - Level ?' |
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| 146 | CALL FLUSH(nulou) |
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| 147 | ENDIF |
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| 148 | ! |
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| 149 | !*Find the angle between the two referentials |
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| 150 | ! |
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| 151 | CALL angel(cd_grd_name, id_grd_size, & |
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| 152 | rla_sin_alpha, rla_cos_alpha) |
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| 153 | |
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| 154 | rda_trans(:,1,1) = rla_cos_alpha |
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| 155 | rda_trans(:,2,1) = rla_sin_alpha |
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| 156 | rda_trans(:,1,2) = -rla_sin_alpha |
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| 157 | rda_trans(:,2,2) = rla_cos_alpha |
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| 158 | |
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| 159 | IF (nlogprt .GE. 2) THEN |
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| 160 | WRITE (UNIT = nulou,FMT = *) & |
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| 161 | ' --------- End of routine loc2spher ---------' |
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| 162 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 163 | CALL FLUSH(nulou) |
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| 164 | ENDIF |
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| 165 | |
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| 166 | END SUBROUTINE loc2spher |
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| 167 | ! |
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| 168 | !----------------------------------------------------------------------- |
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| 169 | ! |
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| 170 | SUBROUTINE spher2loc(cd_grd_name, id_grd_size, rda_trans) |
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| 171 | |
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| 172 | CHARACTER (LEN=8),INTENT(in) :: & |
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| 173 | cd_grd_name ! grid name |
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| 174 | |
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| 175 | INTEGER (KIND=int_kind), INTENT(in) :: & |
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| 176 | id_grd_size ! grid size |
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| 177 | |
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| 178 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size) :: & |
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| 179 | rla_sin_alpha, & ! the sinus and cosinus for the angel between the |
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| 180 | rla_cos_alpha ! direction j in streched and the north-south in spheric |
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| 181 | |
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| 182 | !*RETURN VALUE: |
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| 183 | |
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| 184 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size,3,3), INTENT(out) :: rda_trans |
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| 185 | |
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| 186 | !*DESCRIPTION: |
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| 187 | ! Finds the transformation matrix between a spheric and a stretched |
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| 188 | ! spheric referential. |
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| 189 | ! |
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| 190 | |
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| 191 | IF (nlogprt .GE. 2) THEN |
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| 192 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 193 | WRITE (UNIT = nulou,FMT = *) & |
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| 194 | ' ROUTINE spher2loc - Level ?' |
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| 195 | CALL FLUSH(nulou) |
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| 196 | ENDIF |
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| 197 | ! |
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| 198 | !*Find the angle between the two referentials |
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| 199 | ! |
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| 200 | CALL angel(cd_grd_name, id_grd_size, & |
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| 201 | rla_sin_alpha, rla_cos_alpha) |
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| 202 | |
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| 203 | rda_trans(:,1,1) = rla_cos_alpha |
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| 204 | rda_trans(:,2,1) = -rla_sin_alpha |
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| 205 | rda_trans(:,1,2) = rla_sin_alpha |
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| 206 | rda_trans(:,2,2) = rla_cos_alpha |
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| 207 | |
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| 208 | rda_trans(:,1,3) = 0. |
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| 209 | rda_trans(:,2,3) = 0. |
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| 210 | rda_trans(:,3,1) = 0. |
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| 211 | rda_trans(:,3,2) = 0. |
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| 212 | rda_trans(:,3,3) = 1. |
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| 213 | |
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| 214 | IF (nlogprt .GE. 2) THEN |
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| 215 | WRITE (UNIT = nulou,FMT = *) & |
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| 216 | ' --------- End of routine spher2loc ---------' |
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| 217 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 218 | CALL FLUSH(nulou) |
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| 219 | ENDIF |
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| 220 | |
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| 221 | END SUBROUTINE spher2loc |
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| 222 | ! |
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| 223 | !----------------------------------------------------------------------- |
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| 224 | ! |
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| 225 | SUBROUTINE spher2car(rda_grd_lon, rda_grd_lat, id_grd_size, rda_trans) |
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| 226 | |
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| 227 | INTEGER (KIND=int_kind), INTENT(in) :: & |
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| 228 | id_grd_size ! grid size |
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| 229 | |
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| 230 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size),INTENT(in) :: & |
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| 231 | rda_grd_lon, & ! grid longitudes |
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| 232 | rda_grd_lat ! grid latitudes |
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| 233 | |
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| 234 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size) :: & |
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| 235 | rla_sin_lon, rla_cos_lon, & ! sinus and cosinus for longitudes |
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| 236 | rla_sin_lat, rla_cos_lat ! sinus and cosinus for latitudes |
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| 237 | |
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| 238 | ! !RETURN VALUE: |
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| 239 | |
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| 240 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size,3,2), INTENT(out) :: rda_trans |
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| 241 | |
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| 242 | ! !DESCRIPTION: |
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| 243 | ! Finds the rotation matrix between a spheric and cartesien referentails. |
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| 244 | ! |
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| 245 | |
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| 246 | IF (nlogprt .GE. 2) THEN |
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| 247 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 248 | WRITE (UNIT = nulou,FMT = *) & |
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| 249 | ' ROUTINE - spher2car Level ?' |
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| 250 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 251 | CALL FLUSH(nulou) |
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| 252 | ENDIF |
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| 253 | |
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| 254 | rla_sin_lon(:) = SIN(rda_grd_lon(:) * rp_deg2rad) |
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| 255 | rla_cos_lon(:) = COS(rda_grd_lon(:) * rp_deg2rad) |
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| 256 | rla_sin_lat(:) = SIN(rda_grd_lat(:) * rp_deg2rad) |
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| 257 | rla_cos_lat(:) = COS(rda_grd_lat(:) * rp_deg2rad) |
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| 258 | |
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| 259 | rda_trans(:,1,1) = -rla_sin_lon(:) |
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| 260 | rda_trans(:,2,1) = -rla_sin_lat(:) * rla_cos_lon(:) |
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| 261 | rda_trans(:,1,2) = rla_cos_lon(:) |
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| 262 | rda_trans(:,2,2) = -rla_sin_lat(:) * rla_sin_lon(:) |
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| 263 | rda_trans(:,3,1) = rla_cos_lon(:) * rla_cos_lat(:) |
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| 264 | rda_trans(:,3,2) = rla_cos_lat(:) * rla_sin_lon(:) |
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| 265 | |
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| 266 | IF (nlogprt .GE. 2) THEN |
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| 267 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 268 | WRITE (UNIT = nulou,FMT = *) & |
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| 269 | ' --------- End of routine spher2car ---------' |
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| 270 | CALL FLUSH (nulou) |
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| 271 | ENDIF |
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| 272 | |
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| 273 | END SUBROUTINE spher2car |
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| 274 | ! |
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| 275 | !----------------------------------------------------------------------- |
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| 276 | ! |
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| 277 | SUBROUTINE car2spher(rda_grd_lon, rda_grd_lat, id_grd_size, rda_trans) |
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| 278 | |
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| 279 | INTEGER (KIND=int_kind), INTENT(in) :: & |
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| 280 | id_grd_size ! grid size |
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| 281 | |
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| 282 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size),INTENT(in) :: & |
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| 283 | rda_grd_lon, & ! grid longitudes |
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| 284 | rda_grd_lat ! grid latitudes |
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| 285 | |
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| 286 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size) :: & |
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| 287 | rla_sin_lon, rla_cos_lon, & ! sinus and cosinu for longitudes |
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| 288 | rla_sin_lat, rla_cos_lat ! sinus and cosinu for latitudes |
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| 289 | |
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| 290 | ! !RETURN VALUE: |
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| 291 | |
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| 292 | REAL (KIND=dbl_kind), DIMENSION(id_grd_size,3,3), INTENT(out) :: rda_trans |
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| 293 | |
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| 294 | ! !DESCRIPTION: |
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| 295 | ! Finds the rotation matrix between a cartesien and a spheric referential. |
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| 296 | ! |
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| 297 | |
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| 298 | IF (nlogprt .GE. 2) THEN |
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| 299 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 300 | WRITE (UNIT = nulou,FMT = *) & |
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| 301 | ' ROUTINE - car2spher Level ?' |
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| 302 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 303 | CALL FLUSH(nulou) |
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| 304 | ENDIF |
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| 305 | |
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| 306 | rla_sin_lon(:) = SIN(rda_grd_lon(:) * rp_deg2rad) |
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| 307 | rla_cos_lon(:) = COS(rda_grd_lon(:) * rp_deg2rad) |
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| 308 | rla_sin_lat(:) = SIN(rda_grd_lat(:) * rp_deg2rad) |
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| 309 | rla_cos_lat(:) = COS(rda_grd_lat(:) * rp_deg2rad) |
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| 310 | |
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| 311 | rda_trans(:,1,1) = -rla_sin_lon(:) |
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| 312 | rda_trans(:,2,1) = rla_cos_lon(:) |
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| 313 | rda_trans(:,3,1) = 0. |
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| 314 | rda_trans(:,1,2) = -rla_sin_lat(:) * rla_cos_lon(:) |
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| 315 | rda_trans(:,2,2) = -rla_sin_lat(:) * rla_sin_lon(:) |
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| 316 | rda_trans(:,3,2) = rla_cos_lat(:) |
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| 317 | rda_trans(:,1,3) = rla_cos_lat(:) * rla_cos_lon(:) |
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| 318 | rda_trans(:,2,3) = rla_cos_lat(:) * rla_sin_lon(:) |
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| 319 | rda_trans(:,3,3) = rla_sin_lat(:) |
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| 320 | |
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| 321 | IF (nlogprt .GE. 2) THEN |
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| 322 | WRITE (UNIT = nulou,FMT = *) ' ' |
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| 323 | WRITE (UNIT = nulou,FMT = *) & |
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| 324 | ' --------- End of routine car2spher ---------' |
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| 325 | CALL FLUSH (nulou) |
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| 326 | ENDIF |
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| 327 | |
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| 328 | END SUBROUTINE car2spher |
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| 329 | |
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| 330 | |
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| 331 | END MODULE rotations |
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