[5037] | 1 | !---------------------------------------------------------------------- |
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| 2 | ! NEMO system team, System and Interface for oceanic RElocable Nesting |
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| 3 | !---------------------------------------------------------------------- |
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| 4 | ! |
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| 5 | ! MODULE: interp |
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| 6 | ! |
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| 7 | ! DESCRIPTION: |
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| 8 | !> @brief |
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| 9 | !> This module manage linear interpolation on regular grid. |
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| 10 | !> |
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| 11 | !> @details |
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| 12 | !> to compute linear interpolation:<br/> |
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| 13 | !> @code |
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| 14 | !> CALL interp_linear_fill(dd_value, dd_fill, id_detect, id_rho, ld_even [,ld_discont] ) |
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| 15 | !> @endcode |
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| 16 | !> - dd_value is 2D array of variable value |
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| 17 | !> - dd_fill is the FillValue of variable |
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| 18 | !> - id_detect is 2D array of point to be interpolated (see interp module) |
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| 19 | !> - id_rho is array of refinment factor |
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| 20 | !> - ld_even indicates even refinment or not |
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| 21 | !> - ld_discont indicates longitudinal discontinuity (-180°/180°, 0°/360°) or not |
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| 22 | !> |
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| 23 | !> @author |
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| 24 | !> J.Paul |
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| 25 | ! REVISION HISTORY: |
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[5617] | 26 | !> @date September, 2014 - Initial version |
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[5037] | 27 | !> |
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| 28 | !> @note Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 29 | !---------------------------------------------------------------------- |
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| 30 | |
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| 31 | MODULE interp_linear |
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| 32 | |
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| 33 | USE netcdf ! nf90 library |
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| 34 | USE global ! global variable |
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| 35 | USE kind ! F90 kind parameter |
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| 36 | USE logger ! log file manager |
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| 37 | USE fct ! basic useful function |
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| 38 | USE extrap ! extrapolation manager |
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| 39 | |
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| 40 | IMPLICIT NONE |
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| 41 | ! NOTE_avoid_public_variables_if_possible |
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| 42 | |
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| 43 | ! type and variable |
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| 44 | |
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| 45 | ! function and subroutine |
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| 46 | PUBLIC :: interp_linear_fill !< compute interpolation using linear method |
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| 47 | |
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| 48 | PRIVATE :: interp_linear__2D !< compute bilinear interpolation on 2D gid |
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| 49 | PRIVATE :: interp_linear__1D !< compute linear interpolation on 1D gid |
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| 50 | PRIVATE :: interp_linear__2D_coef !< compute coefficient for bilinear interpolation |
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| 51 | PRIVATE :: interp_linear__2D_fill !< fill value using bilinear interpolation |
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| 52 | PRIVATE :: interp_linear__1D_coef !< compute coefficient for linear interpolation |
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| 53 | PRIVATE :: interp_linear__1D_fill !< fill value using linear interpolation |
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| 54 | PRIVATE :: interp_linear__get_weight2D !< compute interpoaltion weight for 2D array. |
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| 55 | PRIVATE :: interp_linear__get_weight1D !< compute interpoaltion weight for 1D array. |
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| 56 | |
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| 57 | CONTAINS |
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| 58 | !------------------------------------------------------------------- |
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| 59 | !> @brief |
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| 60 | !> This subroutine compute horizontal linear interpolation on 4D array of value. |
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| 61 | !> |
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| 62 | !> @details |
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| 63 | !> |
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| 64 | !> @author J.Paul |
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[5617] | 65 | !> @date September, 2014 - Initial Version |
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[5609] | 66 | !> @date July, 2015 - reinitialise detect array for each level |
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[5037] | 67 | !> |
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| 68 | !> @param[inout] dd_value 2D array of variable value |
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| 69 | !> @param[in] dd_fill FillValue of variable |
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| 70 | !> @param[inout] id_detect 2D array of point to be interpolated |
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| 71 | !> @param[in] id_rho array of refinment factor |
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| 72 | !> @param[in] ld_even even refinment or not |
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| 73 | !> @param[in] ld_discont longitudinal discontinuity (-180°/180°, 0°/360°) or not |
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| 74 | !------------------------------------------------------------------- |
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| 75 | SUBROUTINE interp_linear_fill(dd_value, dd_fill, id_detect, & |
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| 76 | & id_rho, ld_even, ld_discont ) |
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| 77 | IMPLICIT NONE |
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| 78 | ! Argument |
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| 79 | REAL(dp) , DIMENSION(:,:,:,:), INTENT(INOUT) :: dd_value |
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| 80 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 81 | INTEGER(I4) , DIMENSION(:,:,:) , INTENT(INOUT) :: id_detect |
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| 82 | INTEGER(I4) , DIMENSION(:) , INTENT(IN ) :: id_rho |
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| 83 | LOGICAL , DIMENSION(:) , INTENT(IN ) :: ld_even |
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| 84 | LOGICAL , INTENT(IN ), OPTIONAL :: ld_discont |
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| 85 | |
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| 86 | ! local variable |
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[5609] | 87 | INTEGER(i4), DIMENSION(4) :: il_shape |
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[5037] | 88 | |
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[5609] | 89 | INTEGER(I4), DIMENSION(:,:,:), ALLOCATABLE :: il_detect |
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| 90 | |
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| 91 | LOGICAL :: ll_discont |
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| 92 | |
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| 93 | REAL(dp) , DIMENSION(:,:) , ALLOCATABLE :: dl_weight_IJ |
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| 94 | REAL(dp) , DIMENSION(:,:) , ALLOCATABLE :: dl_weight_I |
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| 95 | REAL(dp) , DIMENSION(:,:) , ALLOCATABLE :: dl_weight_J |
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[5037] | 96 | |
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| 97 | ! loop indices |
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| 98 | INTEGER(i4) :: ji |
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| 99 | INTEGER(i4) :: jj |
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| 100 | INTEGER(i4) :: jk |
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| 101 | INTEGER(i4) :: jl |
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| 102 | !---------------------------------------------------------------- |
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| 103 | ll_discont=.FALSE. |
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| 104 | IF( PRESENT(ld_discont) ) ll_discont=ld_discont |
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| 105 | |
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| 106 | il_shape(:)=SHAPE(dd_value) |
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| 107 | |
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| 108 | ! compute vect2D |
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[5609] | 109 | ALLOCATE(dl_weight_IJ(4,((id_rho(jp_I)+1)*(id_rho(jp_J)+1))) ) |
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[5037] | 110 | CALL interp_linear__get_weight2D(dl_weight_IJ(:,:), & |
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| 111 | & id_rho(:), ld_even(:)) |
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| 112 | |
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[5609] | 113 | ALLOCATE( dl_weight_I( 2,((id_rho(jp_I)+1) )) ) |
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| 114 | ALLOCATE( dl_weight_J( 2,( (id_rho(jp_J)+1))) ) |
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[5037] | 115 | CALL interp_linear__get_weight1D(dl_weight_I(:,:), & |
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| 116 | & id_rho(jp_I), ld_even(jp_I)) |
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| 117 | CALL interp_linear__get_weight1D(dl_weight_J(:,:), & |
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| 118 | & id_rho(jp_J), ld_even(jp_J)) |
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| 119 | |
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[5609] | 120 | ALLOCATE(il_detect(il_shape(1),il_shape(2),il_shape(3))) |
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| 121 | |
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[5037] | 122 | DO jl=1,il_shape(4) |
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[5609] | 123 | il_detect(:,:,:)=id_detect(:,:,:) |
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[5037] | 124 | ! loop on vertical level |
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| 125 | DO jk=1,il_shape(3) |
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| 126 | |
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| 127 | ! I-J plan |
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| 128 | CALL interp_linear__2D(dd_value(:,:,jk,jl), dd_fill,& |
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[5609] | 129 | & il_detect(:,:,jk), & |
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[5037] | 130 | & dl_weight_IJ(:,:), & |
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| 131 | & id_rho(jp_I), id_rho(jp_J), & |
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| 132 | & ll_discont) |
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[5609] | 133 | IF( ANY(il_detect(:,:,jk)==1) )THEN |
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[5037] | 134 | ! I direction |
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| 135 | DO jj=1,il_shape(2) |
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| 136 | CALL interp_linear__1D( dd_value(:,jj,jk,jl), dd_fill,& |
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[5609] | 137 | & il_detect(:,jj,jk), & |
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[5037] | 138 | & dl_weight_I(:,:), & |
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| 139 | & id_rho(jp_I), ll_discont ) |
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| 140 | ENDDO |
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[5609] | 141 | IF( ALL(il_detect(:,:,jk)==0) )THEN |
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[5037] | 142 | CYCLE |
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| 143 | ELSE |
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| 144 | ! J direction |
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| 145 | DO ji=1,il_shape(1) |
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| 146 | CALL interp_linear__1D( dd_value(ji,:,jk,jl), dd_fill,& |
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[5609] | 147 | & il_detect(ji,:,jk), & |
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[5037] | 148 | & dl_weight_J(:,:), & |
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| 149 | & id_rho(jp_J), ll_discont ) |
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| 150 | ENDDO |
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| 151 | ENDIF |
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| 152 | ENDIF |
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| 153 | |
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| 154 | ENDDO |
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| 155 | ENDDO |
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| 156 | |
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[5609] | 157 | id_detect(:,:,:)=il_detect(:,:,:) |
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| 158 | DEALLOCATE(il_detect) |
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| 159 | |
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[5037] | 160 | DEALLOCATE(dl_weight_IJ) |
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| 161 | DEALLOCATE(dl_weight_I) |
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| 162 | DEALLOCATE(dl_weight_J) |
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[5609] | 163 | |
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[5037] | 164 | END SUBROUTINE interp_linear_fill |
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| 165 | !------------------------------------------------------------------- |
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| 166 | !> @brief |
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| 167 | !> This subroutine compute linear interpolation on 2D array of value. |
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| 168 | !> |
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| 169 | !> @details |
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| 170 | !> |
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| 171 | !> @author J.Paul |
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[5617] | 172 | !> @date September, 2014 - Initial Version |
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[5037] | 173 | !> |
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| 174 | !> @param[inout] dd_value 2D array of variable value |
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| 175 | !> @param[in] dd_fill FillValue of variable |
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| 176 | !> @param[inout] id_detect 2D array of point to be interpolated |
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| 177 | !> @param[in] id_rhoi refinment factor in i-direction |
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| 178 | !> @param[in] id_rhoj refinment factor in j-direction |
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| 179 | !> @param[in] id_rhok refinment factor in k-direction |
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| 180 | !> @param[in] ld_even even refinment or not |
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| 181 | !> @param[in] ld_discont longitudinal discontinuity (-180°/180°, 0°/360°) or not |
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| 182 | !------------------------------------------------------------------- |
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| 183 | SUBROUTINE interp_linear__2D( dd_value, dd_fill, & |
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| 184 | & id_detect, & |
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| 185 | & dd_weight, & |
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| 186 | & id_rhoi, id_rhoj, & |
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| 187 | & ld_discont ) |
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| 188 | |
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| 189 | IMPLICIT NONE |
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| 190 | ! Argument |
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| 191 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
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| 192 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 193 | INTEGER(I4) , DIMENSION(:,:), INTENT(INOUT) :: id_detect |
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| 194 | REAL(dp) , DIMENSION(:,:), INTENT(IN ) :: dd_weight |
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| 195 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
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| 196 | INTEGER(I4) , INTENT(IN ) :: id_rhoj |
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| 197 | LOGICAL , INTENT(IN ) :: ld_discont |
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| 198 | |
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| 199 | ! local variable |
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| 200 | INTEGER(I4) :: il_xextra |
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| 201 | INTEGER(I4) :: il_yextra |
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| 202 | INTEGER(i4), DIMENSION(2) :: il_shape |
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| 203 | INTEGER(i4), DIMENSION(2) :: il_dim |
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| 204 | |
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| 205 | REAL(dp) :: dl_min |
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| 206 | REAL(dp) :: dl_max |
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| 207 | REAL(dp) , DIMENSION(:) , ALLOCATABLE :: dl_coef |
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| 208 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_coarse |
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| 209 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_tmp |
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| 210 | |
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| 211 | ! loop indices |
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| 212 | INTEGER(i4) :: ji |
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| 213 | INTEGER(i4) :: jj |
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| 214 | INTEGER(i4) :: ii |
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| 215 | INTEGER(i4) :: ij |
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| 216 | |
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| 217 | !---------------------------------------------------------------- |
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| 218 | |
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| 219 | IF( ANY(id_detect(:,:)==1) )THEN |
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| 220 | il_shape(:)=SHAPE(dd_value) |
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| 221 | |
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| 222 | ! compute coarse grid dimension |
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| 223 | il_xextra=id_rhoi-1 |
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| 224 | il_dim(1)=(il_shape(1)+il_xextra)/id_rhoi |
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| 225 | |
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| 226 | il_yextra=id_rhoj-1 |
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| 227 | il_dim(2)=(il_shape(2)+il_yextra)/id_rhoj |
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| 228 | |
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| 229 | ALLOCATE( dl_coarse(il_dim(1),il_dim(2)) ) |
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| 230 | |
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| 231 | ! value on coarse grid |
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| 232 | dl_coarse(:,:)=dd_value( 1:il_shape(1):id_rhoi, & |
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| 233 | & 1:il_shape(2):id_rhoj ) |
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| 234 | |
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| 235 | ALLOCATE( dl_tmp(2,2) ) |
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| 236 | ALLOCATE( dl_coef(4) ) |
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| 237 | |
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| 238 | DO jj=1,il_shape(2)-1,id_rhoj |
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| 239 | ij=((jj-1)/id_rhoj)+1 |
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| 240 | DO ji=1,il_shape(1)-1,id_rhoi |
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| 241 | ii=((ji-1)/id_rhoi)+1 |
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| 242 | |
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| 243 | ! check if point to be interpolated |
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| 244 | IF( ALL(id_detect(ji:ji+id_rhoi, & |
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| 245 | & jj:jj+id_rhoj)==0) ) CYCLE |
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[5609] | 246 | ! check data needed to interpolate |
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[5037] | 247 | IF( ANY(dl_coarse(ii:ii+1,ij:ij+1)==dd_fill) ) CYCLE |
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| 248 | ! check longitude discontinuity |
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| 249 | dl_tmp(:,:)=dl_coarse(ii:ii+1,ij:ij+1) |
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| 250 | IF( ld_discont )THEN |
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| 251 | |
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| 252 | dl_min=MINVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
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| 253 | dl_max=MAXVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
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| 254 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
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| 255 | WHERE( dl_tmp(:,:) < 0_dp ) |
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| 256 | dl_tmp(:,:) = dl_tmp(:,:)+360._dp |
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| 257 | END WHERE |
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| 258 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
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| 259 | WHERE( dl_tmp(:,:) > 180_dp ) |
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| 260 | dl_tmp(:,:) = dl_tmp(:,:)-180._dp |
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| 261 | END WHERE |
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| 262 | ENDIF |
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| 263 | |
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| 264 | ENDIF |
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| 265 | |
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| 266 | ! compute bilinear coefficient |
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| 267 | dl_coef(:)=interp_linear__2D_coef(dl_tmp(:,:),& |
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| 268 | & dd_fill ) |
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| 269 | |
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| 270 | ! compute value on detetected point |
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| 271 | CALL interp_linear__2D_fill(dd_value( ji:ji+id_rhoi, & |
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| 272 | & jj:jj+id_rhoj ), & |
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| 273 | & id_detect(ji:ji+id_rhoi, & |
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| 274 | & jj:jj+id_rhoj ), & |
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| 275 | & dd_weight(:,:), dl_coef(:),& |
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| 276 | & dd_fill, id_rhoi, id_rhoj ) |
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| 277 | |
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| 278 | IF( ld_discont )THEN |
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| 279 | WHERE( dd_value( ji:ji+id_rhoi, & |
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| 280 | & jj:jj+id_rhoj ) >= 180._dp .AND. & |
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| 281 | & dd_value( ji:ji+id_rhoi, & |
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| 282 | & jj:jj+id_rhoj ) /= dd_fill ) |
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| 283 | dd_value( ji:ji+id_rhoi, & |
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| 284 | & jj:jj+id_rhoj ) = & |
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| 285 | & dd_value( ji:ji+id_rhoi, & |
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| 286 | & jj:jj+id_rhoj ) - 360._dp |
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| 287 | END WHERE |
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| 288 | ENDIF |
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| 289 | |
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| 290 | ENDDO |
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| 291 | ENDDO |
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| 292 | |
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| 293 | DEALLOCATE(dl_coef) |
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| 294 | DEALLOCATE(dl_tmp ) |
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| 295 | |
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| 296 | DEALLOCATE( dl_coarse ) |
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| 297 | ENDIF |
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| 298 | |
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| 299 | END SUBROUTINE interp_linear__2D |
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| 300 | !------------------------------------------------------------------- |
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| 301 | !> @brief |
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| 302 | !> This subroutine compute linear interpolation on 1D array of value. |
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| 303 | !> |
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| 304 | !> @details |
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| 305 | !> |
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| 306 | !> @author J.Paul |
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[5617] | 307 | !> @date September, 2014 - Initial Version |
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[5037] | 308 | !> |
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| 309 | !> @param[inout] dd_value 1D array of variable value |
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| 310 | !> @param[in] dd_fill FillValue of variable |
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| 311 | !> @param[inout] id_detect 1D array of point to be interpolated |
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| 312 | !> @param[in] id_rhoi refinment factor |
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| 313 | !> @param[in] ld_even even refinment or not |
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| 314 | !> @param[in] ld_discont longitudinal discontinuity (-180°/180°, 0°/360°) or not |
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| 315 | !------------------------------------------------------------------- |
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| 316 | SUBROUTINE interp_linear__1D( dd_value, dd_fill, & |
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| 317 | & id_detect, & |
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| 318 | & dd_weight, & |
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| 319 | & id_rhoi, & |
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| 320 | & ld_discont ) |
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| 321 | |
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| 322 | IMPLICIT NONE |
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| 323 | ! Argument |
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| 324 | REAL(dp) , DIMENSION(:) , INTENT(INOUT) :: dd_value |
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| 325 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 326 | INTEGER(I4) , DIMENSION(:) , INTENT(INOUT) :: id_detect |
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| 327 | REAL(dp) , DIMENSION(:,:), INTENT(IN ) :: dd_weight |
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| 328 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
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| 329 | LOGICAL , INTENT(IN ) :: ld_discont |
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| 330 | |
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| 331 | ! local variable |
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| 332 | INTEGER(I4) :: il_xextra |
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| 333 | INTEGER(i4), DIMENSION(1) :: il_shape |
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| 334 | INTEGER(i4), DIMENSION(1) :: il_dim |
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| 335 | |
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| 336 | REAL(dp) :: dl_min |
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| 337 | REAL(dp) :: dl_max |
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| 338 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_coef |
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| 339 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_coarse |
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| 340 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_tmp |
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| 341 | |
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| 342 | ! loop indices |
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| 343 | INTEGER(i4) :: ji |
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| 344 | INTEGER(i4) :: ii |
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| 345 | |
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| 346 | !---------------------------------------------------------------- |
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| 347 | |
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| 348 | IF( ANY(id_detect(:)==1) )THEN |
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| 349 | il_shape(:)=SHAPE(dd_value) |
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| 350 | |
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| 351 | ! compute coarse grid dimension |
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| 352 | il_xextra=id_rhoi-1 |
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| 353 | il_dim(1)=(il_shape(1)+il_xextra)/id_rhoi |
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| 354 | |
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| 355 | ALLOCATE( dl_coarse(il_dim(1)) ) |
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| 356 | |
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| 357 | ! value on coarse grid |
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| 358 | dl_coarse(:)=dd_value( 1:il_shape(1):id_rhoi ) |
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| 359 | |
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| 360 | ALLOCATE( dl_tmp(2) ) |
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| 361 | ALLOCATE( dl_coef(4) ) |
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| 362 | |
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| 363 | DO ji=1,il_shape(1)-1,id_rhoi |
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| 364 | ii=((ji-1)/id_rhoi)+1 |
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| 365 | |
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| 366 | ! check if point to be interpolated |
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| 367 | IF( ALL(id_detect(ji:ji+id_rhoi)==0) ) CYCLE |
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| 368 | ! check data needed to interpolate |
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| 369 | IF( ANY(dl_coarse(ii:ii+1)==dd_fill) ) CYCLE |
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| 370 | ! check longitude discontinuity |
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| 371 | dl_tmp(:)=dl_coarse(ii:ii+1) |
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| 372 | IF( ld_discont )THEN |
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| 373 | |
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| 374 | dl_min=MINVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
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| 375 | dl_max=MAXVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
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| 376 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
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| 377 | WHERE( dl_tmp(:) < 0_dp ) |
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| 378 | dl_tmp(:) = dl_tmp(:)+360._dp |
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| 379 | END WHERE |
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| 380 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
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| 381 | WHERE( dl_tmp(:) > 180_dp ) |
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| 382 | dl_tmp(:) = dl_tmp(:)-180._dp |
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| 383 | END WHERE |
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| 384 | ENDIF |
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| 385 | |
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| 386 | ENDIF |
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| 387 | |
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| 388 | ! compute bilinear coefficient |
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| 389 | dl_coef(:)=interp_linear__1D_coef(dl_tmp(:), & |
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| 390 | & dd_fill ) |
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| 391 | |
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| 392 | ! compute value on detetected point |
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| 393 | CALL interp_linear__1D_fill( dd_value( ji:ji+id_rhoi ), & |
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| 394 | & id_detect(ji:ji+id_rhoi ), & |
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| 395 | & dd_weight(:,:), dl_coef(:),& |
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| 396 | & dd_fill, id_rhoi ) |
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| 397 | |
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| 398 | IF( ld_discont )THEN |
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| 399 | WHERE( dd_value( ji:ji+id_rhoi ) >= 180._dp .AND. & |
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| 400 | & dd_value( ji:ji+id_rhoi ) /= dd_fill ) |
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| 401 | dd_value(ji:ji+id_rhoi) = dd_value(ji:ji+id_rhoi) - 360._dp |
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| 402 | END WHERE |
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| 403 | ENDIF |
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| 404 | |
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| 405 | ENDDO |
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| 406 | |
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| 407 | DEALLOCATE(dl_coef) |
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| 408 | DEALLOCATE(dl_tmp ) |
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| 409 | |
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| 410 | DEALLOCATE( dl_coarse ) |
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| 411 | ENDIF |
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| 412 | |
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| 413 | END SUBROUTINE interp_linear__1D |
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| 414 | !------------------------------------------------------------------- |
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| 415 | !> @brief |
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| 416 | !> This subroutine compute 2D array of coefficient for linear interpolation. |
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| 417 | !> |
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| 418 | !> @author J.Paul |
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[5617] | 419 | !> @date September, 2014 - Initial Version |
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[5037] | 420 | !> |
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| 421 | !> @param[in] dd_value 2D array of value |
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| 422 | !> @param[in] dd_fill FillValue of variable |
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| 423 | !------------------------------------------------------------------- |
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| 424 | FUNCTION interp_linear__2D_coef( dd_value, dd_fill ) |
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| 425 | IMPLICIT NONE |
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| 426 | ! Argument |
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| 427 | REAL(dp), DIMENSION(:,:) , INTENT(IN) :: dd_value |
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| 428 | REAL(dp) , INTENT(IN) :: dd_fill |
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| 429 | |
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| 430 | ! function |
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| 431 | REAL(dp), DIMENSION(4) :: interp_linear__2D_coef |
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| 432 | |
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| 433 | ! local variable |
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| 434 | REAL(dp), DIMENSION(4,4), PARAMETER :: dl_matrix = RESHAPE( & |
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| 435 | & (/ 1 ,-1 ,-1 , 1 ,& |
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| 436 | 0 , 1 , 0 ,-1 ,& |
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| 437 | 0 , 0 , 1 ,-1 ,& |
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| 438 | 0 , 0 , 0 , 1 /), & |
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| 439 | & (/ 4, 4 /) ) |
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| 440 | |
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| 441 | REAL(dp), DIMENSION(4) :: dl_vect |
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| 442 | |
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| 443 | !---------------------------------------------------------------- |
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| 444 | ! init |
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| 445 | interp_linear__2D_coef(:)=dd_fill |
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| 446 | |
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| 447 | dl_vect( 1: 4)=PACK(dd_value(:,:),.TRUE. ) |
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| 448 | interp_linear__2D_coef(:)=MATMUL(dl_matrix(:,:),dl_vect(:)) |
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| 449 | |
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| 450 | END FUNCTION interp_linear__2D_coef |
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| 451 | !------------------------------------------------------------------- |
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| 452 | !> @brief |
---|
| 453 | !> This subroutine compute linear interpolation of a 2D array of value. |
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| 454 | !> |
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| 455 | !> @author J.Paul |
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[5617] | 456 | !> @date September, 2014 - Initial Version |
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[5609] | 457 | !> |
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[5037] | 458 | !> @param[inout] dd_value 2D array of mixed grid value |
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| 459 | !> @param[inout] id_detect 2D array of point to be interpolated |
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| 460 | !> @param[in] dd_coef 2D array of coefficient |
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| 461 | !> @param[in] dd_fill FillValue of variable |
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| 462 | !> @param[in] ld_even even refinment or not |
---|
| 463 | !> @param[in] id_rhoi refinement factor in i-direction |
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| 464 | !> @param[in] id_rhoj refinement factor in j-direction |
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| 465 | !------------------------------------------------------------------- |
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| 466 | SUBROUTINE interp_linear__2D_fill( dd_value, id_detect, & |
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| 467 | & dd_weight, dd_coef, & |
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| 468 | & dd_fill, id_rhoi, id_rhoj ) |
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| 469 | IMPLICIT NONE |
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| 470 | ! Argument |
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| 471 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
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| 472 | INTEGER(i4) , DIMENSION(:,:), INTENT(INOUT) :: id_detect |
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| 473 | REAL(dp) , DIMENSION(:,:), INTENT(IN ) :: dd_weight |
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| 474 | REAL(dp) , DIMENSION(:) , INTENT(IN ) :: dd_coef |
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| 475 | REAL(dp) , INTENT(IN ) :: dd_fill |
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| 476 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
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| 477 | INTEGER(I4) , INTENT(IN ) :: id_rhoj |
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| 478 | |
---|
| 479 | ! local variable |
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| 480 | |
---|
| 481 | ! loop indices |
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| 482 | INTEGER(i4) :: ii |
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| 483 | |
---|
| 484 | INTEGER(i4) :: ji |
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| 485 | INTEGER(i4) :: jj |
---|
| 486 | !---------------------------------------------------------------- |
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| 487 | |
---|
[5609] | 488 | IF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 489 | CALL logger_error("INTERP LINEAR FILL: fill value detected in coef. "//& |
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| 490 | & "can not compute interpolation.") |
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| 491 | ELSE |
---|
[5037] | 492 | |
---|
[5609] | 493 | ii=0 |
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| 494 | DO jj=1,id_rhoj+1 |
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| 495 | DO ji=1,id_rhoi+1 |
---|
[5037] | 496 | |
---|
[5609] | 497 | ii=ii+1 |
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| 498 | IF(id_detect(ji,jj)==1)THEN |
---|
[5037] | 499 | |
---|
[5609] | 500 | dd_value(ji,jj)=DOT_PRODUCT(dd_coef(:),dd_weight(:,ii)) |
---|
| 501 | id_detect(ji,jj)=0 |
---|
[5037] | 502 | |
---|
[5609] | 503 | ENDIF |
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[5037] | 504 | |
---|
| 505 | ENDDO |
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[5609] | 506 | ENDDO |
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[5037] | 507 | |
---|
[5609] | 508 | ENDIF |
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[5037] | 509 | |
---|
| 510 | END SUBROUTINE interp_linear__2D_fill |
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| 511 | !------------------------------------------------------------------- |
---|
| 512 | !> @brief |
---|
| 513 | !> This subroutine compute 1D array of coefficient for linear interpolation. |
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| 514 | !> |
---|
| 515 | !> @author J.Paul |
---|
[5617] | 516 | !> @date September, 2014 - Initial Version |
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[5037] | 517 | !> |
---|
| 518 | !> @param[in] dd_value 1D array of value |
---|
| 519 | !> @param[in] dd_fill FillValue of variable |
---|
| 520 | !------------------------------------------------------------------- |
---|
| 521 | FUNCTION interp_linear__1D_coef( dd_value, dd_fill ) |
---|
| 522 | IMPLICIT NONE |
---|
| 523 | ! Argument |
---|
| 524 | REAL(dp), DIMENSION(:) , INTENT(IN) :: dd_value |
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| 525 | REAL(dp) , INTENT(IN) :: dd_fill |
---|
| 526 | |
---|
| 527 | ! function |
---|
| 528 | REAL(dp), DIMENSION(2) :: interp_linear__1D_coef |
---|
| 529 | |
---|
| 530 | ! local variable |
---|
| 531 | REAL(dp), DIMENSION(2,2), PARAMETER :: dl_matrix = RESHAPE( & |
---|
| 532 | & (/ 1 ,-1 ,& |
---|
| 533 | 0 , 1 /), & |
---|
| 534 | & (/ 2, 2 /) ) |
---|
| 535 | |
---|
| 536 | REAL(dp), DIMENSION(2) :: dl_vect |
---|
| 537 | |
---|
| 538 | !---------------------------------------------------------------- |
---|
| 539 | ! init |
---|
| 540 | interp_linear__1D_coef(:)=dd_fill |
---|
| 541 | |
---|
| 542 | dl_vect( 1: 2)=PACK(dd_value(:),.TRUE. ) |
---|
| 543 | interp_linear__1D_coef(:)=MATMUL(dl_matrix(:,:),dl_vect(:)) |
---|
| 544 | |
---|
| 545 | END FUNCTION interp_linear__1D_coef |
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| 546 | !------------------------------------------------------------------- |
---|
| 547 | !> @brief |
---|
| 548 | !> This subroutine compute linear interpolation of a 1D array of value. |
---|
| 549 | !> |
---|
| 550 | !> @author J.Paul |
---|
[5617] | 551 | !> @date September, 2014 - Initial Version |
---|
[5037] | 552 | !> |
---|
| 553 | !> @param[inout] dd_value 1D array of mixed grid value |
---|
| 554 | !> @param[inout] id_detect 1D array of point to be interpolated |
---|
| 555 | !> @param[in] dd_coef 1D array of coefficient |
---|
| 556 | !> @param[in] dd_fill FillValue of variable |
---|
| 557 | !> @param[in] ld_even even refinment or not |
---|
| 558 | !> @param[in] id_rho refinement factor |
---|
| 559 | !------------------------------------------------------------------- |
---|
| 560 | SUBROUTINE interp_linear__1D_fill( dd_value, id_detect, & |
---|
| 561 | & dd_weight, dd_coef, & |
---|
| 562 | & dd_fill, id_rho ) |
---|
| 563 | IMPLICIT NONE |
---|
| 564 | ! Argument |
---|
| 565 | REAL(dp) , DIMENSION(:) , INTENT(INOUT) :: dd_value |
---|
| 566 | INTEGER(i4) , DIMENSION(:) , INTENT(INOUT) :: id_detect |
---|
| 567 | REAL(dp) , DIMENSION(:,:), INTENT(IN ) :: dd_weight |
---|
| 568 | REAL(dp) , DIMENSION(:) , INTENT(IN ) :: dd_coef |
---|
| 569 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 570 | INTEGER(I4) , INTENT(IN ) :: id_rho |
---|
| 571 | |
---|
| 572 | ! local variable |
---|
| 573 | |
---|
| 574 | ! loop indices |
---|
| 575 | INTEGER(i4) :: ji |
---|
| 576 | !---------------------------------------------------------------- |
---|
| 577 | |
---|
| 578 | IF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 579 | CALL logger_error("INTERP LINEAR FILL: fill value detected. "//& |
---|
| 580 | & "can not compute interpolation") |
---|
| 581 | ELSE |
---|
| 582 | |
---|
| 583 | DO ji=1,id_rho+1 |
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| 584 | |
---|
| 585 | IF(id_detect(ji)==1)THEN |
---|
| 586 | |
---|
| 587 | dd_value(ji)=DOT_PRODUCT(dd_coef(:),dd_weight(:,ji)) |
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| 588 | id_detect(ji)=0 |
---|
| 589 | |
---|
| 590 | ENDIF |
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| 591 | |
---|
| 592 | ENDDO |
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| 593 | |
---|
| 594 | ENDIF |
---|
| 595 | |
---|
| 596 | END SUBROUTINE interp_linear__1D_fill |
---|
| 597 | !------------------------------------------------------------------- |
---|
| 598 | !> @brief |
---|
| 599 | !> This subroutine compute interpoaltion weight for 2D array. |
---|
| 600 | !> |
---|
| 601 | !> @author J.Paul |
---|
[5617] | 602 | !> @date September, 2014 - Initial Version |
---|
[5037] | 603 | !> |
---|
| 604 | !> @param[in] dd_weight interpolation weight of 2D array |
---|
| 605 | !> @param[in] ld_even even refinment or not |
---|
| 606 | !> @param[in] id_rho refinement factor |
---|
| 607 | !------------------------------------------------------------------- |
---|
| 608 | SUBROUTINE interp_linear__get_weight2D(dd_weight, & |
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| 609 | & id_rho, ld_even) |
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| 610 | IMPLICIT NONE |
---|
| 611 | ! Argument |
---|
| 612 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_weight |
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| 613 | INTEGER(I4), DIMENSION(:) , INTENT(IN ) :: id_rho |
---|
| 614 | LOGICAL , DIMENSION(:) , INTENT(IN ) :: ld_even |
---|
| 615 | ! local variable |
---|
| 616 | REAL(dp) :: dl_dx |
---|
| 617 | REAL(dp) :: dl_x |
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| 618 | REAL(dp) :: dl_dy |
---|
| 619 | REAL(dp) :: dl_y |
---|
| 620 | |
---|
| 621 | ! loop indices |
---|
| 622 | INTEGER(i4) :: ii |
---|
| 623 | |
---|
| 624 | INTEGER(i4) :: ji |
---|
| 625 | INTEGER(i4) :: jj |
---|
| 626 | !---------------------------------------------------------------- |
---|
| 627 | |
---|
| 628 | IF( ld_even(jp_I) )THEN |
---|
[6393] | 629 | dl_dx=1._dp/REAL(id_rho(jp_I)-1,dp) |
---|
[5037] | 630 | ELSE ! odd refinement |
---|
[6393] | 631 | dl_dx=1._dp/REAL(id_rho(jp_I),dp) |
---|
[5037] | 632 | ENDIF |
---|
| 633 | |
---|
| 634 | IF( ld_even(jp_J) )THEN |
---|
[6393] | 635 | dl_dy=1._dp/REAL(id_rho(jp_J)-1,dp) |
---|
[5037] | 636 | ELSE ! odd refinement |
---|
[6393] | 637 | dl_dy=1._dp/REAL(id_rho(jp_J),dp) |
---|
[5037] | 638 | ENDIF |
---|
| 639 | |
---|
| 640 | ii=0 |
---|
| 641 | DO jj=1,id_rho(jp_J)+1 |
---|
| 642 | |
---|
| 643 | IF( ld_even(jp_J) )THEN |
---|
[6393] | 644 | dl_y=REAL(jj-1,dp)*dl_dy - dl_dy*0.5_dp |
---|
[5037] | 645 | ELSE ! odd refinement |
---|
[6393] | 646 | dl_y=REAL(jj-1,dp)*dl_dy |
---|
[5037] | 647 | ENDIF |
---|
| 648 | |
---|
| 649 | DO ji=1,id_rho(jp_I)+1 |
---|
| 650 | |
---|
| 651 | ! iter |
---|
| 652 | ii=ii+1 |
---|
| 653 | |
---|
| 654 | IF( ld_even(jp_I) )THEN |
---|
[6393] | 655 | dl_x=REAL(ji-1,dp)*dl_dx - dl_dx*0.5_dp |
---|
[5037] | 656 | ELSE ! odd refinement |
---|
[6393] | 657 | dl_x=REAL(ji-1,dp)*dl_dx |
---|
[5037] | 658 | ENDIF |
---|
| 659 | |
---|
| 660 | dd_weight(:,ii)=(/1._dp, dl_x, dl_y, dl_x*dl_y /) |
---|
| 661 | |
---|
| 662 | ENDDO |
---|
| 663 | ENDDO |
---|
| 664 | |
---|
| 665 | END SUBROUTINE interp_linear__get_weight2D |
---|
| 666 | !------------------------------------------------------------------- |
---|
| 667 | !> @brief |
---|
| 668 | !> This subroutine compute interpoaltion weight for 1D array. |
---|
| 669 | !> |
---|
| 670 | !> @author J.Paul |
---|
[5617] | 671 | !> @date September, 2014 - Initial Version |
---|
[5037] | 672 | !> |
---|
| 673 | !> @param[in] dd_weight interpolation weight of 1D array |
---|
| 674 | !> @param[in] ld_even even refinment or not |
---|
| 675 | !> @param[in] id_rho refinement factor |
---|
| 676 | !------------------------------------------------------------------- |
---|
| 677 | SUBROUTINE interp_linear__get_weight1D(dd_weight, & |
---|
| 678 | & id_rho, ld_even) |
---|
| 679 | IMPLICIT NONE |
---|
| 680 | ! Argument |
---|
| 681 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_weight |
---|
| 682 | INTEGER(I4) , INTENT(IN ) :: id_rho |
---|
| 683 | LOGICAL , INTENT(IN ) :: ld_even |
---|
| 684 | |
---|
| 685 | ! local variable |
---|
| 686 | REAL(dp) :: dl_dx |
---|
| 687 | REAL(dp) :: dl_x |
---|
| 688 | |
---|
| 689 | ! loop indices |
---|
| 690 | INTEGER(i4) :: ji |
---|
| 691 | !---------------------------------------------------------------- |
---|
| 692 | |
---|
| 693 | IF( ld_even )THEN |
---|
[6393] | 694 | dl_dx=1._dp/REAL(id_rho-1,dp) |
---|
[5037] | 695 | ELSE ! odd refinement |
---|
[6393] | 696 | dl_dx=1._dp/REAL(id_rho,dp) |
---|
[5037] | 697 | ENDIF |
---|
| 698 | |
---|
| 699 | DO ji=1,id_rho+1 |
---|
| 700 | IF( ld_even )THEN |
---|
[6393] | 701 | dl_x=REAL(ji-1,dp)*dl_dx - dl_dx*0.5_dp |
---|
[5037] | 702 | ELSE ! odd refinement |
---|
[6393] | 703 | dl_x=REAL(ji-1,dp)*dl_dx |
---|
[5037] | 704 | ENDIF |
---|
| 705 | |
---|
| 706 | dd_weight(:,ji)=(/1._dp, dl_x /) |
---|
| 707 | ENDDO |
---|
| 708 | |
---|
| 709 | END SUBROUTINE interp_linear__get_weight1D |
---|
| 710 | END MODULE interp_linear |
---|