[4213] | 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 interpolation on regular grid. |
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| 10 | !> @note It is used to work on ORCA grid, as we work only with grid indices. |
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| 11 | !> |
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| 12 | !> @warning due to the use of second derivative when using cubic interpolation |
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| 13 | !> you should add 2 extrabands |
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| 14 | !> |
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| 15 | !> @details |
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| 16 | !> @author |
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| 17 | !> J.Paul |
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| 18 | ! REVISION HISTORY: |
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| 19 | !> @date Nov, 2013 - Initial Version |
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| 20 | ! |
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| 21 | !> @note Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 22 | !> @todo |
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| 23 | !> - interp 3D |
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| 24 | !> - see issue when fill value is zero for check cubic_fill.. |
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| 25 | !---------------------------------------------------------------------- |
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| 26 | MODULE interp |
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| 27 | |
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| 28 | USE netcdf ! nf90 library |
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| 29 | USE global ! global variable |
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| 30 | USE kind ! F90 kind parameter |
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| 31 | USE logger ! log file manager |
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| 32 | USE fct ! basic useful function |
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| 33 | ! USE date ! date manager |
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| 34 | USE att ! attribute manager |
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| 35 | USE dim ! dimension manager |
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| 36 | USE var ! variable manager |
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| 37 | ! USE file ! file manager |
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| 38 | ! USE iom ! I/O manager |
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| 39 | ! USE dom ! domain manager |
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| 40 | USE grid ! grid manager |
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| 41 | USE extrap ! extrapolation manager |
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| 42 | ! USE interp ! interpolation manager |
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| 43 | ! USE filter ! filter manager |
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| 44 | ! USE mpp ! MPP manager |
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| 45 | ! USE iom_mpp ! MPP I/O manager |
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| 46 | |
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| 47 | IMPLICIT NONE |
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| 48 | PRIVATE |
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| 49 | ! NOTE_avoid_public_variables_if_possible |
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| 50 | |
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| 51 | ! type and variable |
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| 52 | |
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| 53 | ! function and subroutine |
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| 54 | PUBLIC :: interp_detect !< detected point to be interpolated |
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| 55 | PUBLIC :: interp_fill_value !< interpolate value over detectected point |
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| 56 | PUBLIC :: interp_create_mixed_grid !< create mixed grid |
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| 57 | PUBLIC :: interp_clean_mixed_grid !< clean mixed grid |
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| 58 | |
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| 59 | PRIVATE :: interp__detect !< detected point to be interpolated |
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| 60 | PRIVATE :: interp__detect_wrapper !< detected point to be interpolated |
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| 61 | PRIVATE :: interp__fill_value_wrapper !< interpolate value over detectected point |
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| 62 | PRIVATE :: interp__fill_value !< interpolate value over detectected point |
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| 63 | PRIVATE :: interp__clean_even_grid !< clean even mixed grid |
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| 64 | PRIVATE :: interp__del_offset !< remove offset from interpolated grid |
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| 65 | PRIVATE :: interp__check_method !< check if interpolation method available |
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| 66 | ! PRIVATE :: interp__3D !< interpolate 3D grid |
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| 67 | PRIVATE :: interp__2D !< interpolate 2D grid |
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| 68 | PRIVATE :: interp__1D !< interpolate 1D grid |
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| 69 | PRIVATE :: interp__2D_cubic_coef !< compute coefficient for bicubic interpolation |
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| 70 | PRIVATE :: interp__2D_cubic_fill !< compute bicubic interpolation |
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| 71 | PRIVATE :: interp__2D_linear_coef !< compute coefficient for bilinear interpolation |
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| 72 | PRIVATE :: interp__2D_linear_fill !< compute bilinear interpolation |
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| 73 | PRIVATE :: interp__2D_nearest_fill !< compute nearest interpolation |
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| 74 | PRIVATE :: interp__1D_cubic_coef !< compute coefficient for cubic interpolation |
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| 75 | PRIVATE :: interp__1D_cubic_fill !< compute cubic interpolation |
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| 76 | PRIVATE :: interp__1D_linear_coef !< compute coefficient for linear interpolation |
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| 77 | PRIVATE :: interp__1D_linear_fill !< compute linear interpolation |
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| 78 | PRIVATE :: interp__1D_nearest_fill !< compute nearest interpolation |
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| 79 | ! PRIVATE :: interp__longitude |
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| 80 | |
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| 81 | TYPE TINTERP |
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| 82 | !CHARACTER(LEN=lc) :: c_name = 'unknown' !< interpolation method name |
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| 83 | !CHARACTER(LEN=lc) :: c_factor = 'unknown' !< interpolation factor |
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| 84 | !CHARACTER(LEN=lc) :: c_divisor = 'unknown' !< interpolation divisor |
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| 85 | CHARACTER(LEN=lc) :: c_name = '' !< interpolation method name |
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| 86 | CHARACTER(LEN=lc) :: c_factor = '' !< interpolation factor |
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| 87 | CHARACTER(LEN=lc) :: c_divisor= '' !< interpolation divisor |
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| 88 | END TYPE TINTERP |
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| 89 | |
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| 90 | INTERFACE interp_detect |
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| 91 | MODULE PROCEDURE interp__detect_wrapper !< detected point to be interpolated |
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| 92 | END INTERFACE interp_detect |
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| 93 | |
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| 94 | INTERFACE interp_fill_value |
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| 95 | MODULE PROCEDURE interp__fill_value_wrapper !< detected point to be interpolated |
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| 96 | END INTERFACE interp_fill_value |
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| 97 | |
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| 98 | CONTAINS |
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| 99 | !------------------------------------------------------------------- |
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| 100 | !> @brief |
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| 101 | !> This function check if interpolation method available. |
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| 102 | !> |
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| 103 | !> @details |
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| 104 | !> |
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| 105 | !> @author J.Paul |
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| 106 | !> - Nov, 2013- Initial Version |
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| 107 | ! |
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| 108 | !> @param[in] cd_method : interpolation method |
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| 109 | !> @return |
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| 110 | !> @todo see extrap_detect |
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| 111 | !------------------------------------------------------------------- |
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| 112 | !> @code |
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| 113 | FUNCTION interp__check_method( cd_method ) |
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| 114 | IMPLICIT NONE |
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| 115 | ! Argument |
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| 116 | CHARACTER(LEN=lc) :: cd_method |
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| 117 | |
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| 118 | ! function |
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| 119 | LOGICAL :: interp__check_method |
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| 120 | |
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| 121 | ! local variable |
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| 122 | CHARACTER(LEN=lc) :: cl_interp |
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| 123 | CHARACTER(LEN=lc) :: cl_method |
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| 124 | |
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| 125 | ! loop indices |
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| 126 | INTEGER(I4) :: ji |
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| 127 | !---------------------------------------------------------------- |
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| 128 | |
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| 129 | cl_method=fct_lower(cd_method) |
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| 130 | |
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| 131 | interp__check_method=.FALSE. |
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| 132 | DO ji=1,ig_ninterp |
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| 133 | cl_interp=fct_lower(cg_interp_list(ji)) |
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| 134 | IF( TRIM(cl_interp) == TRIM(cl_method) )THEN |
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| 135 | interp__check_method=.TRUE. |
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| 136 | EXIT |
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| 137 | ENDIF |
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| 138 | ENDDO |
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| 139 | |
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| 140 | END FUNCTION interp__check_method |
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| 141 | !> @endcode |
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| 142 | !------------------------------------------------------------------- |
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| 143 | !> @brief |
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| 144 | !> This function detected point to be interpolated. |
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| 145 | !> |
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| 146 | !> @details |
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| 147 | !> Actually it checks, the number of dimension used for this variable |
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| 148 | !> and launch interp__detect which detected point to be interpolated. |
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| 149 | !> |
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| 150 | !> @author J.Paul |
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| 151 | !> - Nov, 2013- Initial Version |
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| 152 | ! |
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| 153 | !> @param[in] td_mix : mixed grid variable (to interpolate) |
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| 154 | !> @param[in] id_rho : table of refinement factor |
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| 155 | !> @return table of detected point to be interpolated |
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| 156 | !------------------------------------------------------------------- |
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| 157 | !> @code |
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| 158 | FUNCTION interp__detect_wrapper( td_mix, id_rho ) |
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| 159 | IMPLICIT NONE |
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| 160 | ! Argument |
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| 161 | TYPE(TVAR) , INTENT(IN) :: td_mix |
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| 162 | INTEGER(I4), DIMENSION(:), INTENT(IN), OPTIONAL :: id_rho |
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| 163 | |
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| 164 | ! function |
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| 165 | INTEGER(i4), DIMENSION(td_mix%t_dim(1)%i_len,& |
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| 166 | & td_mix%t_dim(2)%i_len,& |
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| 167 | & td_mix%t_dim(3)%i_len ) :: interp__detect_wrapper |
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| 168 | |
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| 169 | ! local variable |
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| 170 | |
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| 171 | ! loop indices |
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| 172 | !---------------------------------------------------------------- |
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| 173 | |
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| 174 | IF( .NOT. ANY(td_mix%t_dim(1:3)%l_use) )THEN |
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| 175 | ! no dimension I-J-K used |
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| 176 | CALL logger_debug(" INTERP DETECT: nothing done for variable"//& |
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| 177 | & TRIM(td_mix%c_name) ) |
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| 178 | |
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| 179 | interp__detect_wrapper(:,:,:)=0 |
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| 180 | |
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| 181 | ELSE IF( ALL(td_mix%t_dim(1:3)%l_use) )THEN |
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| 182 | |
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| 183 | ! detect point to be interpolated on I-J-K |
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| 184 | CALL logger_debug(" INTERP DETECT: detect point "//& |
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| 185 | & TRIM(td_mix%c_point)//" for variable "//& |
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| 186 | & TRIM(td_mix%c_name) ) |
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| 187 | |
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| 188 | interp__detect_wrapper(:,:,:)=interp__detect( td_mix, id_rho(:) ) |
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| 189 | |
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| 190 | ELSE IF( ALL(td_mix%t_dim(1:2)%l_use) )THEN |
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| 191 | |
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| 192 | ! detect point to be interpolated on I-J |
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| 193 | CALL logger_debug(" INTERP DETECT: detect point "//& |
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| 194 | & TRIM(td_mix%c_point)//" for variable "//& |
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| 195 | & TRIM(td_mix%c_name) ) |
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| 196 | |
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| 197 | interp__detect_wrapper(:,:,1:1)=interp__detect( td_mix, id_rho(:)) |
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| 198 | |
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| 199 | ELSE IF( td_mix%t_dim(3)%l_use )THEN |
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| 200 | |
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| 201 | ! detect point to be interpolated on K |
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| 202 | CALL logger_debug(" INTERP DETECT: detect vertical point "//& |
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| 203 | & " for variable "//TRIM(td_mix%c_name) ) |
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| 204 | |
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| 205 | interp__detect_wrapper(1:1,1:1,:)=interp__detect( td_mix, id_rho(:) ) |
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| 206 | |
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| 207 | ENDIF |
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| 208 | |
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| 209 | END FUNCTION interp__detect_wrapper |
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| 210 | !> @endcode |
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| 211 | !------------------------------------------------------------------- |
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| 212 | !> @brief |
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| 213 | !> This function detected point to be interpolated. |
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| 214 | !> |
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| 215 | !> @details |
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| 216 | !> A special case is done for even refinement on ARAKAWA-C grid. |
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| 217 | !> |
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| 218 | !> @author J.Paul |
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| 219 | !> - Nov, 2013- Initial Version |
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| 220 | ! |
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| 221 | !> @param[in] td_mix : mixed grid variable (to interpolate) |
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| 222 | !> @param[in] id_rho : table of refinement factor |
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| 223 | !> @return table of detected point to be interpolated |
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| 224 | !------------------------------------------------------------------- |
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| 225 | !> @code |
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| 226 | FUNCTION interp__detect( td_mix, id_rho ) |
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| 227 | IMPLICIT NONE |
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| 228 | ! Argument |
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| 229 | TYPE(TVAR) , INTENT(IN) :: td_mix |
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| 230 | INTEGER(I4), DIMENSION(:), INTENT(IN), OPTIONAL :: id_rho |
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| 231 | |
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| 232 | ! function |
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| 233 | INTEGER(i4), DIMENSION(td_mix%t_dim(1)%i_len,& |
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| 234 | & td_mix%t_dim(2)%i_len,& |
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| 235 | & td_mix%t_dim(3)%i_len ) :: interp__detect |
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| 236 | |
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| 237 | ! local variable |
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| 238 | INTEGER(I4), DIMENSION(:), ALLOCATABLE :: il_rho |
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| 239 | |
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| 240 | INTEGER(I4) :: il_xextra |
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| 241 | INTEGER(I4) :: il_yextra |
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| 242 | INTEGER(I4) :: il_zextra |
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| 243 | |
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| 244 | INTEGER(i4), DIMENSION(3) :: il_dim |
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| 245 | |
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| 246 | LOGICAL , DIMENSION(3) :: ll_even |
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| 247 | |
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| 248 | ! loop indices |
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| 249 | INTEGER(I4) :: ji |
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| 250 | INTEGER(I4) :: jj |
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| 251 | INTEGER(I4) :: jk |
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| 252 | !---------------------------------------------------------------- |
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| 253 | ALLOCATE( il_rho(ip_maxdim) ) |
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| 254 | il_rho(:)=1 |
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| 255 | IF( PRESENT(id_rho) ) il_rho(:)=id_rho(:) |
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| 256 | |
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| 257 | ! special case for even refinement on ARAKAWA-C grid |
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| 258 | ll_even(:)=.FALSE. |
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| 259 | IF( MOD(il_rho(jp_I),2) == 0 ) ll_even(1)=.TRUE. |
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| 260 | IF( MOD(il_rho(jp_J),2) == 0 ) ll_even(2)=.TRUE. |
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| 261 | IF( MOD(il_rho(jp_K),2) == 0 ) ll_even(3)=.TRUE. |
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| 262 | |
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| 263 | SELECT CASE(TRIM(td_mix%c_point)) |
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| 264 | CASE('U') |
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| 265 | ll_even(1)=.FALSE. |
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| 266 | CASE('V') |
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| 267 | ll_even(2)=.FALSE. |
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| 268 | CASE('F') |
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| 269 | ll_even(:)=.FALSE. |
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| 270 | END SELECT |
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| 271 | |
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| 272 | IF( ll_even(1) ) il_rho(jp_I)=il_rho(jp_I)+1 |
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| 273 | IF( ll_even(2) ) il_rho(jp_J)=il_rho(jp_J)+1 |
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| 274 | IF( ll_even(3) ) il_rho(jp_K)=il_rho(jp_K)+1 |
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| 275 | |
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| 276 | ! special case for cubic interpolation |
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| 277 | il_xextra=0 |
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| 278 | il_yextra=0 |
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| 279 | il_zextra=0 |
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| 280 | SELECT CASE(TRIM(td_mix%c_interp(1))) |
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| 281 | CASE('cubic') |
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| 282 | ! those points can not be compute cause cubic interpolation |
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| 283 | ! need second derivative. |
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| 284 | IF( il_rho(jp_I) /= 1 ) il_xextra=3*il_rho(jp_I) |
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| 285 | IF( il_rho(jp_J) /= 1 ) il_yextra=3*il_rho(jp_J) |
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| 286 | IF( il_rho(jp_K) /= 1 ) il_zextra=3*il_rho(jp_K) |
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| 287 | END SELECT |
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| 288 | |
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| 289 | il_dim(:)=td_mix%t_dim(1:3)%i_len |
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| 290 | |
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| 291 | interp__detect(:,:,:)=1 |
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| 292 | |
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| 293 | ! do not compute coarse grid point |
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| 294 | interp__detect(1:td_mix%t_dim(1)%i_len:il_rho(jp_I), & |
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| 295 | & 1:td_mix%t_dim(2)%i_len:il_rho(jp_J), & |
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| 296 | & 1:td_mix%t_dim(3)%i_len:il_rho(jp_K) ) = 0 |
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| 297 | |
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| 298 | ! do not compute point near fill value |
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| 299 | FORALL( ji=1:il_dim(1):il_rho(jp_I), & |
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| 300 | & jj=1:il_dim(2):il_rho(jp_J), & |
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| 301 | & jk=1:il_dim(3):il_rho(jp_K), & |
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| 302 | & td_mix%d_value(ji,jj,jk,1) == td_mix%d_fill ) |
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| 303 | |
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| 304 | ! i-direction |
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| 305 | interp__detect(MAX(1,ji-il_xextra):MIN(ji+il_xextra,il_dim(1)),& |
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| 306 | & MAX(1,jj-(il_rho(jp_J)-1)):MIN(jj+(il_rho(jp_J)-1),il_dim(2)),& |
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| 307 | & MAX(1,jk-(il_rho(jp_K)-1)):MIN(jk+(il_rho(jp_K)-1),il_dim(3)) )=0 |
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| 308 | ! j-direction |
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| 309 | interp__detect(MAX(1,ji-(il_rho(jp_I)-1)):MIN(ji+(il_rho(jp_I)-1),il_dim(1)),& |
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| 310 | & MAX(1,jj-il_yextra):MIN(jj+il_yextra,il_dim(2)),& |
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| 311 | & MAX(1,jk-(il_rho(jp_K)-1)):MIN(jk+(il_rho(jp_K)-1),il_dim(3)) )=0 |
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| 312 | ! k-direction |
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| 313 | interp__detect(MAX(1,ji-(il_rho(jp_I)-1)):MIN(ji+(il_rho(jp_I)-1),il_dim(1)),& |
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| 314 | & MAX(1,jj-(il_rho(jp_J)-1)):MIN(jj+(il_rho(jp_J)-1),il_dim(2)),& |
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| 315 | & MAX(1,jk-il_zextra):MIN(jk+il_zextra,il_dim(3)) )=0 |
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| 316 | |
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| 317 | END FORALL |
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| 318 | |
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| 319 | END FUNCTION interp__detect |
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| 320 | !> @endcode |
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| 321 | !------------------------------------------------------------------- |
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| 322 | !> @brief |
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| 323 | !> This subroutine create mixed grid. |
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| 324 | !> |
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| 325 | !> @details |
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| 326 | !> Created grid is fine resolution grid. |
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| 327 | !> First and last point are coasre grid point. |
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| 328 | !> |
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| 329 | !> A special case is done for even refinement on ARAKAWA-C grid. |
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| 330 | !> |
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| 331 | !> @author J.Paul |
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| 332 | !> - Nov, 2013- Initial Version |
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| 333 | ! |
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| 334 | !> @param[in] td_var : coarse grid variable (should be extrapolated) |
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| 335 | !> @param[out] td_mix : mixed grid variable |
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| 336 | !> @param[in] id_rho : table of refinment factor |
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| 337 | !> |
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| 338 | !> @todo |
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| 339 | !------------------------------------------------------------------- |
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| 340 | !> @code |
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| 341 | SUBROUTINE interp_create_mixed_grid( td_var, td_mix, id_rho ) |
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| 342 | IMPLICIT NONE |
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| 343 | ! Argument |
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| 344 | TYPE(TVAR) , INTENT(IN ) :: td_var |
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| 345 | TYPE(TVAR) , INTENT( OUT) :: td_mix |
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| 346 | INTEGER(I4), DIMENSION(:), INTENT(IN ), OPTIONAL :: id_rho |
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| 347 | |
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| 348 | ! local variable |
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| 349 | INTEGER(I4), DIMENSION(:), ALLOCATABLE :: il_rho |
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| 350 | |
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| 351 | INTEGER(i4) :: il_xextra |
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| 352 | INTEGER(i4) :: il_yextra |
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| 353 | INTEGER(i4) :: il_zextra |
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| 354 | |
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| 355 | LOGICAL, DIMENSION(3) :: ll_even |
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| 356 | |
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| 357 | ! loop indices |
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| 358 | !---------------------------------------------------------------- |
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| 359 | ALLOCATE(il_rho(ip_maxdim)) |
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| 360 | il_rho(:)=1 |
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| 361 | IF( PRESENT(id_rho) ) il_rho(:)=id_rho(:) |
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| 362 | |
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| 363 | ! special case for even refinement on ARAKAWA-C grid |
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| 364 | ll_even(:)=.FALSE. |
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| 365 | IF( MOD(il_rho(jp_I),2) == 0 ) ll_even(1)=.TRUE. |
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| 366 | IF( MOD(il_rho(jp_J),2) == 0 ) ll_even(2)=.TRUE. |
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| 367 | IF( MOD(il_rho(jp_K),2) == 0 ) ll_even(3)=.TRUE. |
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| 368 | |
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| 369 | SELECT CASE(TRIM(td_var%c_point)) |
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| 370 | CASE('U') |
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| 371 | ll_even(1)=.FALSE. |
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| 372 | CASE('V') |
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| 373 | ll_even(2)=.FALSE. |
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| 374 | CASE('F') |
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| 375 | ll_even(:)=.FALSE. |
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| 376 | END SELECT |
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| 377 | |
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| 378 | IF( ll_even(1) ) il_rho(jp_I)=il_rho(jp_I)+1 |
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| 379 | IF( ll_even(2) ) il_rho(jp_J)=il_rho(jp_J)+1 |
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| 380 | IF( ll_even(3) ) il_rho(jp_K)=il_rho(jp_K)+1 |
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| 381 | |
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| 382 | ! copy variable |
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| 383 | td_mix=td_var |
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| 384 | |
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| 385 | ! compute new dimension length |
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| 386 | il_xextra=il_rho(jp_I)-1 |
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| 387 | td_mix%t_dim(1)%i_len=td_mix%t_dim(1)%i_len*il_rho(jp_I)-il_xextra |
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| 388 | |
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| 389 | il_yextra=il_rho(jp_J)-1 |
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| 390 | td_mix%t_dim(2)%i_len=td_mix%t_dim(2)%i_len*il_rho(jp_J)-il_yextra |
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| 391 | |
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| 392 | il_zextra=il_rho(jp_K)-1 |
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| 393 | td_mix%t_dim(3)%i_len=td_mix%t_dim(3)%i_len*il_rho(jp_K)-il_zextra |
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| 394 | |
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| 395 | IF( ASSOCIATED(td_mix%d_value) ) DEALLOCATE( td_mix%d_value ) |
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| 396 | ALLOCATE( td_mix%d_value( td_mix%t_dim(1)%i_len, & |
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| 397 | & td_mix%t_dim(2)%i_len, & |
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| 398 | & td_mix%t_dim(3)%i_len, & |
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| 399 | & td_mix%t_dim(4)%i_len) ) |
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| 400 | |
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| 401 | ! initialise to FillValue |
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| 402 | td_mix%d_value(:,:,:,:)=td_mix%d_fill |
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| 403 | |
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| 404 | ! quid qd coord ou bathy fourni par user ?? (offset ??) |
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| 405 | td_mix%d_value(1:td_mix%t_dim(1)%i_len:il_rho(jp_I), & |
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| 406 | & 1:td_mix%t_dim(2)%i_len:il_rho(jp_J), & |
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| 407 | & 1:td_mix%t_dim(3)%i_len:il_rho(jp_K), :) = & |
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| 408 | & td_var%d_value(:,:,:,:) |
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| 409 | |
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| 410 | END SUBROUTINE interp_create_mixed_grid |
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| 411 | !> @endcode |
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| 412 | !------------------------------------------------------------------- |
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| 413 | !> @brief |
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| 414 | !> This subroutine remove points added to mixed grid to compute |
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| 415 | !> interpolation in the special case of even refinement on ARAKAWA-C grid. |
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| 416 | !> |
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| 417 | !> @details |
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| 418 | !> |
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| 419 | !> @author J.Paul |
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| 420 | !> - Nov, 2013- Initial Version |
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| 421 | ! |
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| 422 | !> @param[in] td_mix : mixed grid variable |
---|
| 423 | !> @param[in] id_rho : table of refinment factor |
---|
| 424 | !> |
---|
| 425 | !> @todo |
---|
| 426 | !------------------------------------------------------------------- |
---|
| 427 | !> @code |
---|
| 428 | SUBROUTINE interp__clean_even_grid( td_mix, id_rho ) |
---|
| 429 | IMPLICIT NONE |
---|
| 430 | ! Argument |
---|
| 431 | TYPE(TVAR) , INTENT(INOUT) :: td_mix |
---|
| 432 | INTEGER(I4), DIMENSION(:), INTENT(IN ), OPTIONAL :: id_rho |
---|
| 433 | |
---|
| 434 | ! local variable |
---|
| 435 | INTEGER(I4), DIMENSION(:), ALLOCATABLE :: il_rho |
---|
| 436 | |
---|
| 437 | INTEGER(i4) :: il_xextra |
---|
| 438 | INTEGER(i4) :: il_yextra |
---|
| 439 | INTEGER(i4) :: il_zextra |
---|
| 440 | |
---|
| 441 | LOGICAL, DIMENSION(3) :: ll_even |
---|
| 442 | |
---|
| 443 | LOGICAL, DIMENSION(:,:,:,:), ALLOCATABLE :: ll_mask |
---|
| 444 | |
---|
| 445 | REAL(dp), DIMENSION(:) , ALLOCATABLE :: dl_vect |
---|
| 446 | |
---|
| 447 | TYPE(TVAR) :: tl_mix |
---|
| 448 | |
---|
| 449 | ! loop indices |
---|
| 450 | !---------------------------------------------------------------- |
---|
| 451 | ALLOCATE(il_rho(ip_maxdim)) |
---|
| 452 | il_rho(:)=1 |
---|
| 453 | IF( PRESENT(id_rho) ) il_rho(:)=id_rho(:) |
---|
| 454 | |
---|
| 455 | ! special case for even refinement on ARAKAWA-C grid |
---|
| 456 | ll_even(:)=.FALSE. |
---|
| 457 | IF( MOD(il_rho(jp_I),2) == 0 ) ll_even(1)=.TRUE. |
---|
| 458 | IF( MOD(il_rho(jp_J),2) == 0 ) ll_even(2)=.TRUE. |
---|
| 459 | IF( MOD(il_rho(jp_K),2) == 0 ) ll_even(3)=.TRUE. |
---|
| 460 | |
---|
| 461 | SELECT CASE(TRIM(td_mix%c_point)) |
---|
| 462 | CASE('U') |
---|
| 463 | ll_even(1)=.FALSE. |
---|
| 464 | CASE('V') |
---|
| 465 | ll_even(2)=.FALSE. |
---|
| 466 | CASE('F') |
---|
| 467 | ll_even(:)=.FALSE. |
---|
| 468 | END SELECT |
---|
| 469 | |
---|
| 470 | ! copy variable |
---|
| 471 | tl_mix=td_mix |
---|
| 472 | |
---|
| 473 | ! remove some point only if refinement in some direction is even |
---|
| 474 | IF( ANY(ll_even(:)) )THEN |
---|
| 475 | |
---|
| 476 | ALLOCATE( ll_mask( tl_mix%t_dim(1)%i_len, & |
---|
| 477 | & tl_mix%t_dim(2)%i_len, & |
---|
| 478 | & tl_mix%t_dim(3)%i_len, & |
---|
| 479 | & tl_mix%t_dim(4)%i_len) ) |
---|
| 480 | |
---|
| 481 | ll_mask(:,:,:,:)=.TRUE. |
---|
| 482 | |
---|
| 483 | IF( tl_mix%t_dim(1)%l_use .AND. ll_even(1) )THEN |
---|
| 484 | |
---|
| 485 | il_rho(jp_I)=il_rho(jp_I)+1 |
---|
| 486 | |
---|
| 487 | ! locate wrong point on mixed grid |
---|
| 488 | ll_mask(1:td_mix%t_dim(1)%i_len:il_rho(jp_I),:,:,:)=.FALSE. |
---|
| 489 | |
---|
| 490 | ! compute coasre grid dimension length |
---|
| 491 | il_xextra=il_rho(jp_I)-1 |
---|
| 492 | td_mix%t_dim(1)%i_len=(tl_mix%t_dim(1)%i_len+il_xextra)/il_rho(jp_I) |
---|
| 493 | |
---|
| 494 | il_rho(jp_I)=il_rho(jp_I)-1 |
---|
| 495 | ! compute right fine grid dimension length |
---|
| 496 | td_mix%t_dim(1)%i_len=td_mix%t_dim(1)%i_len*il_rho(jp_I)-il_xextra |
---|
| 497 | |
---|
| 498 | ENDIF |
---|
| 499 | |
---|
| 500 | IF( tl_mix%t_dim(2)%l_use .AND. ll_even(2) )THEN |
---|
| 501 | |
---|
| 502 | il_rho(jp_J)=il_rho(jp_J)+1 |
---|
| 503 | |
---|
| 504 | ! locate wrong point on mixed grid |
---|
| 505 | ll_mask(:,1:tl_mix%t_dim(2)%i_len:il_rho(jp_J),:,:)=.FALSE. |
---|
| 506 | |
---|
| 507 | ! compute coasre grid dimension length |
---|
| 508 | il_yextra=il_rho(jp_J)-1 |
---|
| 509 | td_mix%t_dim(2)%i_len=(tl_mix%t_dim(2)%i_len+il_yextra)/il_rho(jp_J) |
---|
| 510 | |
---|
| 511 | il_rho(jp_J)=il_rho(jp_J)-1 |
---|
| 512 | ! compute right fine grid dimension length |
---|
| 513 | td_mix%t_dim(2)%i_len=td_mix%t_dim(2)%i_len*il_rho(jp_J)-il_yextra |
---|
| 514 | |
---|
| 515 | ENDIF |
---|
| 516 | |
---|
| 517 | IF( tl_mix%t_dim(3)%l_use .AND. ll_even(3) )THEN |
---|
| 518 | |
---|
| 519 | il_rho(jp_K)=il_rho(jp_K)+1 |
---|
| 520 | |
---|
| 521 | ! locate wrong point on mixed grid |
---|
| 522 | ll_mask(:,:,1:tl_mix%t_dim(3)%i_len:il_rho(jp_K),:)=.FALSE. |
---|
| 523 | |
---|
| 524 | ! compute coasre grid dimension length |
---|
| 525 | il_zextra=il_rho(jp_K)-1 |
---|
| 526 | td_mix%t_dim(3)%i_len=(tl_mix%t_dim(3)%i_len+il_zextra)/il_rho(jp_K) |
---|
| 527 | |
---|
| 528 | il_rho(jp_K)=il_rho(jp_K)-1 |
---|
| 529 | ! compute right fine grid dimension length |
---|
| 530 | td_mix%t_dim(3)%i_len=td_mix%t_dim(3)%i_len*il_rho(jp_K)-il_zextra |
---|
| 531 | |
---|
| 532 | ENDIF |
---|
| 533 | |
---|
| 534 | IF( ASSOCIATED(td_mix%d_value) ) DEALLOCATE( td_mix%d_value ) |
---|
| 535 | ALLOCATE( td_mix%d_value( td_mix%t_dim(1)%i_len, & |
---|
| 536 | & td_mix%t_dim(2)%i_len, & |
---|
| 537 | & td_mix%t_dim(3)%i_len, & |
---|
| 538 | & td_mix%t_dim(4)%i_len) ) |
---|
| 539 | |
---|
| 540 | ! initialise to FillValue |
---|
| 541 | td_mix%d_value(:,:,:,:)=td_mix%d_fill |
---|
| 542 | |
---|
| 543 | IF( COUNT(ll_mask(:,:,:,:)) /= SIZE(td_mix%d_value(:,:,:,:)) )THEN |
---|
| 544 | |
---|
| 545 | CALL logger_error("INTERP CLEAN EVEN GRID: output value size "//& |
---|
| 546 | & " and mask count differ ") |
---|
| 547 | |
---|
| 548 | ELSE |
---|
| 549 | |
---|
| 550 | ALLOCATE( dl_vect(COUNT(ll_mask(:,:,:,:))) ) |
---|
| 551 | |
---|
| 552 | dl_vect(:)= PACK( tl_mix%d_value(:,:,:,:), & |
---|
| 553 | & MASK=ll_mask(:,:,:,:) ) |
---|
| 554 | |
---|
| 555 | td_mix%d_value(:,:,:,:)=RESHAPE( dl_vect(:), & |
---|
| 556 | & SHAPE=td_mix%t_dim(:)%i_len ) |
---|
| 557 | |
---|
| 558 | DEALLOCATE( dl_vect ) |
---|
| 559 | |
---|
| 560 | ENDIF |
---|
| 561 | |
---|
| 562 | DEALLOCATE( ll_mask ) |
---|
| 563 | |
---|
| 564 | ENDIF |
---|
| 565 | |
---|
| 566 | CALL var_clean(tl_mix) |
---|
| 567 | |
---|
| 568 | END SUBROUTINE interp__clean_even_grid |
---|
| 569 | !> @endcode |
---|
| 570 | !------------------------------------------------------------------- |
---|
| 571 | !> @brief |
---|
| 572 | !> This subroutine save interpolated value over domain. |
---|
| 573 | !> And so remove points added on mixed grid |
---|
| 574 | !> to compute interpolation |
---|
| 575 | !> |
---|
| 576 | !> @details |
---|
| 577 | !> |
---|
| 578 | !> @author J.Paul |
---|
| 579 | !> - Nov, 2013- Initial Version |
---|
| 580 | ! |
---|
| 581 | !> @param[in] td_var : table of mixed grid variable (to interpolate) |
---|
| 582 | !> @param[in] id_rho : table of refinement factor |
---|
| 583 | !> @return |
---|
| 584 | !------------------------------------------------------------------- |
---|
| 585 | !> @code |
---|
| 586 | SUBROUTINE interp_clean_mixed_grid( td_mix, td_var, & |
---|
| 587 | & id_rho, & |
---|
| 588 | & id_offset ) |
---|
| 589 | IMPLICIT NONE |
---|
| 590 | ! Argument |
---|
| 591 | TYPE(TVAR) , INTENT(IN ) :: td_mix |
---|
| 592 | TYPE(TVAR) , INTENT( OUT) :: td_var |
---|
| 593 | INTEGER(I4), DIMENSION(:) , INTENT(IN ), OPTIONAL :: id_rho |
---|
| 594 | INTEGER(I4), DIMENSION(:,:), INTENT(IN ), OPTIONAL :: id_offset |
---|
| 595 | |
---|
| 596 | ! local variable |
---|
| 597 | INTEGER(i4) :: il_imin0 |
---|
| 598 | INTEGER(i4) :: il_imax0 |
---|
| 599 | INTEGER(i4) :: il_jmin0 |
---|
| 600 | INTEGER(i4) :: il_jmax0 |
---|
| 601 | |
---|
| 602 | INTEGER(i4) :: il_imin1 |
---|
| 603 | INTEGER(i4) :: il_jmin1 |
---|
| 604 | INTEGER(i4) :: il_imax1 |
---|
| 605 | INTEGER(i4) :: il_jmax1 |
---|
| 606 | |
---|
| 607 | INTEGER(i4), DIMENSION(2,2) :: il_offset |
---|
| 608 | |
---|
| 609 | REAL(dp), DIMENSION(:,:,:,:) , ALLOCATABLE :: dl_value |
---|
| 610 | |
---|
| 611 | TYPE(TVAR) :: tl_mix |
---|
| 612 | |
---|
| 613 | ! loop indices |
---|
| 614 | !---------------------------------------------------------------- |
---|
| 615 | il_offset(:,:)=0 |
---|
| 616 | IF( PRESENT(id_offset) )THEN |
---|
| 617 | IF( ANY( SHAPE(id_offset(:,:)) /= SHAPE(il_offset(:,:)) ) )THEN |
---|
| 618 | CALL logger_error("INTERP CLEAN MIXED GRID: invalid dimension of"//& |
---|
| 619 | & " offset table") |
---|
| 620 | ELSE |
---|
| 621 | il_offset(:,:)=id_offset(:,:) |
---|
| 622 | ENDIF |
---|
| 623 | ENDIF |
---|
| 624 | ! copy mixed variable in temporary structure |
---|
| 625 | tl_mix=td_mix |
---|
| 626 | |
---|
| 627 | ! remove unusefull points over mixed grid for even refinement |
---|
| 628 | CALL interp__clean_even_grid(tl_mix, id_rho(:)) |
---|
| 629 | |
---|
| 630 | ! copy cleaned mixed variable |
---|
| 631 | td_var=tl_mix |
---|
| 632 | IF( ALL(td_var%t_dim(1:2)%l_use) )THEN |
---|
| 633 | |
---|
| 634 | ! delete table of value |
---|
| 635 | CALL var_del_value(td_var) |
---|
| 636 | |
---|
| 637 | ! compute domain indices |
---|
| 638 | il_imin0=1 ; il_imax0=td_var%t_dim(1)%i_len |
---|
| 639 | il_jmin0=1 ; il_jmax0=td_var%t_dim(2)%i_len |
---|
| 640 | |
---|
| 641 | il_imin1=il_imin0+il_offset(1,1) |
---|
| 642 | il_jmin1=il_jmin0+il_offset(2,1) |
---|
| 643 | |
---|
| 644 | il_imax1=il_imax0-il_offset(1,2) |
---|
| 645 | il_jmax1=il_jmax0-il_offset(2,2) |
---|
| 646 | |
---|
| 647 | SELECT CASE(TRIM(td_var%c_point)) |
---|
| 648 | CASE('U') |
---|
| 649 | il_imin1=il_imin0+(il_offset(1,1)-1) |
---|
| 650 | il_imax1=il_imax0-(il_offset(1,2)+1) |
---|
| 651 | CASE('V') |
---|
| 652 | il_jmin1=il_jmin0+(il_offset(2,1)-1) |
---|
| 653 | il_jmax1=il_jmax0-(il_offset(2,2)+1) |
---|
| 654 | CASE('F') |
---|
| 655 | il_imin1=il_imin0+(il_offset(1,1)-1) |
---|
| 656 | il_imax1=il_imax0-(il_offset(1,2)+1) |
---|
| 657 | |
---|
| 658 | il_jmin1=il_jmin0+(il_offset(2,1)-1) |
---|
| 659 | il_jmax1=il_jmax0-(il_offset(2,2)+1) |
---|
| 660 | END SELECT |
---|
| 661 | |
---|
| 662 | ! compute new dimension |
---|
| 663 | td_var%t_dim(1)%i_len=il_imax1-il_imin1+1 |
---|
| 664 | td_var%t_dim(2)%i_len=il_jmax1-il_jmin1+1 |
---|
| 665 | |
---|
| 666 | ALLOCATE(dl_value(td_var%t_dim(1)%i_len, & |
---|
| 667 | & td_var%t_dim(2)%i_len, & |
---|
| 668 | & td_var%t_dim(3)%i_len, & |
---|
| 669 | & td_var%t_dim(4)%i_len) ) |
---|
| 670 | |
---|
| 671 | dl_value( 1:td_var%t_dim(1)%i_len, & |
---|
| 672 | & :,:,:) = tl_mix%d_value( il_imin1:il_imax1, & |
---|
| 673 | & il_jmin1:il_jmax1, & |
---|
| 674 | & :, : ) |
---|
| 675 | |
---|
| 676 | ! add variable value |
---|
| 677 | CALL var_add_value(td_var,dl_value(:,:,:,:)) |
---|
| 678 | |
---|
| 679 | ! save variable type |
---|
| 680 | td_var%i_type=tl_mix%i_type |
---|
| 681 | |
---|
| 682 | DEALLOCATE(dl_value) |
---|
| 683 | |
---|
| 684 | ENDIF |
---|
| 685 | |
---|
| 686 | CALL var_clean(tl_mix) |
---|
| 687 | |
---|
| 688 | END SUBROUTINE interp_clean_mixed_grid |
---|
| 689 | !> @endcode |
---|
| 690 | !------------------------------------------------------------------- |
---|
| 691 | !> @brief |
---|
| 692 | !> This subroutine save interpolated value over domain. |
---|
| 693 | !> And so remove points added on mixed grid |
---|
| 694 | !> to compute interpolation |
---|
| 695 | !> |
---|
| 696 | !> @details |
---|
| 697 | !> |
---|
| 698 | !> @author J.Paul |
---|
| 699 | !> - Nov, 2013- Initial Version |
---|
| 700 | ! |
---|
| 701 | !> @param[in] td_var : table of mixed grid variable (to interpolate) |
---|
| 702 | !> @param[in] id_offset : table of offset |
---|
| 703 | !> @return |
---|
| 704 | !------------------------------------------------------------------- |
---|
| 705 | !> @code |
---|
| 706 | SUBROUTINE interp__del_offset( td_var, id_offset ) |
---|
| 707 | IMPLICIT NONE |
---|
| 708 | ! Argument |
---|
| 709 | TYPE(TVAR) , INTENT(INOUT) :: td_var |
---|
| 710 | INTEGER(i4), DIMENSION(:,:), INTENT(IN ) :: id_offset |
---|
| 711 | |
---|
| 712 | ! local variable |
---|
| 713 | INTEGER(i4) :: il_imin1 |
---|
| 714 | INTEGER(i4) :: il_jmin1 |
---|
| 715 | INTEGER(i4) :: il_imax1 |
---|
| 716 | INTEGER(i4) :: il_jmax1 |
---|
| 717 | |
---|
| 718 | REAL(dp), DIMENSION(:,:,:,:) , ALLOCATABLE :: dl_value |
---|
| 719 | |
---|
| 720 | ! loop indices |
---|
| 721 | !---------------------------------------------------------------- |
---|
| 722 | |
---|
| 723 | IF( ALL(td_var%t_dim(1:2)%l_use) )THEN |
---|
| 724 | |
---|
| 725 | il_imin1=1+id_offset(1,1) |
---|
| 726 | il_jmin1=1+id_offset(2,1) |
---|
| 727 | |
---|
| 728 | il_imax1=td_var%t_dim(1)%i_len-id_offset(2,1) |
---|
| 729 | il_jmax1=td_var%t_dim(2)%i_len-id_offset(2,2) |
---|
| 730 | |
---|
| 731 | ! compute new dimension |
---|
| 732 | td_var%t_dim(1)%i_len=il_imax1-il_imin1+1 |
---|
| 733 | td_var%t_dim(2)%i_len=il_jmax1-il_jmin1+1 |
---|
| 734 | ALLOCATE( dl_value( td_var%t_dim(1)%i_len, & |
---|
| 735 | & td_var%t_dim(2)%i_len, & |
---|
| 736 | & td_var%t_dim(3)%i_len, & |
---|
| 737 | & td_var%t_dim(4)%i_len) ) |
---|
| 738 | |
---|
| 739 | dl_value(:,:,:,:)=td_var%d_value( il_imin1:il_imax1, & |
---|
| 740 | & il_jmin1:il_jmax1, & |
---|
| 741 | & :,: ) |
---|
| 742 | |
---|
| 743 | ! delete table of value |
---|
| 744 | CALL var_del_value(td_var) |
---|
| 745 | |
---|
| 746 | ! add variable value |
---|
| 747 | CALL var_add_value(td_var,dl_value(:,:,:,:)) |
---|
| 748 | |
---|
| 749 | DEALLOCATE(dl_value) |
---|
| 750 | |
---|
| 751 | ENDIF |
---|
| 752 | |
---|
| 753 | END SUBROUTINE interp__del_offset |
---|
| 754 | !> @endcode |
---|
| 755 | !------------------------------------------------------------------- |
---|
| 756 | !> @brief |
---|
| 757 | !> This subroutine interpolate detected point. |
---|
| 758 | !> |
---|
| 759 | !> @details |
---|
| 760 | !> Actually it checks, the number of dimension used for this variable |
---|
| 761 | !> and launch interp__fill_value. |
---|
| 762 | !> |
---|
| 763 | !> @author J.Paul |
---|
| 764 | !> - Nov, 2013- Initial Version |
---|
| 765 | ! |
---|
| 766 | !> @param[in] td_var : variable to be interpolated |
---|
| 767 | !> @param[in] id_rho : table of refinement factor |
---|
| 768 | !------------------------------------------------------------------- |
---|
| 769 | !> @code |
---|
| 770 | SUBROUTINE interp__fill_value_wrapper( td_var, & |
---|
| 771 | & id_rho, & |
---|
| 772 | & id_offset ) |
---|
| 773 | IMPLICIT NONE |
---|
| 774 | ! Argument |
---|
| 775 | TYPE(TVAR) , INTENT(INOUT) :: td_var |
---|
| 776 | INTEGER(I4), DIMENSION(:), INTENT(IN ), OPTIONAL :: id_rho |
---|
| 777 | INTEGER(I4), DIMENSION(:,:), INTENT(IN ), OPTIONAL :: id_offset |
---|
| 778 | |
---|
| 779 | ! local variable |
---|
| 780 | CHARACTER(LEN=lc) :: cl_method |
---|
| 781 | INTEGER(i4) , DIMENSION(:), ALLOCATABLE :: il_rho |
---|
| 782 | INTEGER(i4) , DIMENSION(2,2) :: il_offset |
---|
| 783 | |
---|
| 784 | ! loop indices |
---|
| 785 | !---------------------------------------------------------------- |
---|
| 786 | |
---|
| 787 | SELECT CASE(TRIM(td_var%c_interp(1))) |
---|
| 788 | CASE('cubic','linear','nearest') |
---|
| 789 | cl_method=TRIM(td_var%c_interp(1)) |
---|
| 790 | CASE DEFAULT |
---|
| 791 | CALL logger_warn("INTERP FILL: interpolation method unknown."//& |
---|
| 792 | & " use linear interpolation") |
---|
| 793 | cl_method='linear' |
---|
| 794 | |
---|
| 795 | ! update variable structure value |
---|
| 796 | td_var%c_interp(1)='linear' |
---|
| 797 | END SELECT |
---|
| 798 | |
---|
| 799 | ALLOCATE( il_rho(ip_maxdim) ) |
---|
| 800 | il_rho(:)=1 |
---|
| 801 | IF( PRESENT(id_rho) ) il_rho(:)=id_rho(:) |
---|
| 802 | IF( ANY(il_rho(:) < 0) )THEN |
---|
| 803 | CALL logger_error("INTERP FILL VALUE: invalid "//& |
---|
| 804 | & " refinement factor ") |
---|
| 805 | ENDIF |
---|
| 806 | |
---|
| 807 | il_offset(:,:)=0 |
---|
| 808 | IF( PRESENT(id_offset) )THEN |
---|
| 809 | IF( ANY(SHAPE(id_offset(:,:)) /= (/2,2/)) )THEN |
---|
| 810 | CALL logger_error("INTERP FILL VALUE: invalid table of offset") |
---|
| 811 | ELSE |
---|
| 812 | il_offset(:,:)=id_offset(:,:) |
---|
| 813 | ENDIF |
---|
| 814 | ENDIF |
---|
| 815 | |
---|
| 816 | IF( (il_rho(jp_I) /= 1 .AND. td_var%t_dim(1)%l_use) .OR. & |
---|
| 817 | & (il_rho(jp_J) /= 1 .AND. td_var%t_dim(2)%l_use) .OR. & |
---|
| 818 | & (il_rho(jp_K) /= 1 .AND. td_var%t_dim(3)%l_use) )THEN |
---|
| 819 | |
---|
| 820 | CALL logger_info("INTERP FILL: interpolate "//TRIM(td_var%c_name)//& |
---|
| 821 | & " using "//TRIM(cl_method)//" method." ) |
---|
| 822 | CALL logger_info("INTERP FILL: refinement factor "//& |
---|
| 823 | & TRIM(fct_str(il_rho(jp_I)))//& |
---|
| 824 | & " "//TRIM(fct_str(il_rho(jp_J)))//& |
---|
| 825 | & " "//TRIM(fct_str(il_rho(jp_K))) ) |
---|
| 826 | |
---|
| 827 | CALL interp__fill_value( td_var, cl_method, & |
---|
| 828 | & il_rho(:), & |
---|
| 829 | & il_offset(:,:) ) |
---|
| 830 | |
---|
| 831 | SELECT CASE(TRIM(td_var%c_interp(2))) |
---|
| 832 | CASE('/rhoi') |
---|
| 833 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 834 | td_var%d_value(:,:,:,:) = & |
---|
| 835 | & td_var%d_value(:,:,:,:) / REAL(il_rho(jp_I),dp) |
---|
| 836 | END WHERE |
---|
| 837 | CASE('/rhoj') |
---|
| 838 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 839 | td_var%d_value(:,:,:,:) = & |
---|
| 840 | & td_var%d_value(:,:,:,:) / REAL(il_rho(jp_J),dp) |
---|
| 841 | END WHERE |
---|
| 842 | CASE('/rhok') |
---|
| 843 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 844 | td_var%d_value(:,:,:,:) = & |
---|
| 845 | & td_var%d_value(:,:,:,:) / REAL(il_rho(jp_K),dp) |
---|
| 846 | END WHERE |
---|
| 847 | CASE('*rhoi') |
---|
| 848 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 849 | td_var%d_value(:,:,:,:) = & |
---|
| 850 | & td_var%d_value(:,:,:,:) * REAL(il_rho(jp_I),dp) |
---|
| 851 | END WHERE |
---|
| 852 | CASE('*rhoj') |
---|
| 853 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 854 | td_var%d_value(:,:,:,:) = & |
---|
| 855 | & td_var%d_value(:,:,:,:) * REAL(il_rho(jp_J),dp) |
---|
| 856 | END WHERE |
---|
| 857 | CASE('*rhok') |
---|
| 858 | WHERE( td_var%d_value(:,:,:,:) /= td_var%d_fill ) |
---|
| 859 | td_var%d_value(:,:,:,:) = & |
---|
| 860 | & td_var%d_value(:,:,:,:) * REAL(il_rho(jp_K),dp) |
---|
| 861 | END WHERE |
---|
| 862 | CASE DEFAULT |
---|
| 863 | td_var%c_interp(2)='' |
---|
| 864 | END SELECT |
---|
| 865 | |
---|
| 866 | ENDIF |
---|
| 867 | |
---|
| 868 | END SUBROUTINE interp__fill_value_wrapper |
---|
| 869 | !> @endcode |
---|
| 870 | !------------------------------------------------------------------- |
---|
| 871 | !> @brief |
---|
| 872 | !> This subroutine interpolate value over mixed grid. |
---|
| 873 | !> |
---|
| 874 | !> @details |
---|
| 875 | !> |
---|
| 876 | !> |
---|
| 877 | !> @author J.Paul |
---|
| 878 | !> - Nov, 2013- Initial Version |
---|
| 879 | ! |
---|
| 880 | !> @param[inout] td_var : variable |
---|
| 881 | !> @param[in] cd_method : interpolation method |
---|
| 882 | !> @param[in] id_rho : table of refinment factor |
---|
| 883 | !------------------------------------------------------------------- |
---|
| 884 | !> @code |
---|
| 885 | SUBROUTINE interp__fill_value( td_var, cd_method, & |
---|
| 886 | & id_rho, & |
---|
| 887 | & id_offset ) |
---|
| 888 | IMPLICIT NONE |
---|
| 889 | ! Argument |
---|
| 890 | TYPE(TVAR) , INTENT(INOUT) :: td_var |
---|
| 891 | CHARACTER(LEN=*) , INTENT(IN ) :: cd_method |
---|
| 892 | INTEGER(I4) , DIMENSION(:) , INTENT(IN ) :: id_rho |
---|
| 893 | INTEGER(I4) , DIMENSION(:,:), INTENT(IN ) :: id_offset |
---|
| 894 | |
---|
| 895 | ! local variable |
---|
| 896 | CHARACTER(LEN=lc) :: cl_interp |
---|
| 897 | |
---|
| 898 | INTEGER(I4) , DIMENSION(:) , ALLOCATABLE :: il_rho |
---|
| 899 | INTEGER(i4) , DIMENSION(:,:,:) , ALLOCATABLE :: il_detect |
---|
| 900 | |
---|
| 901 | REAL(dp) :: dl_min |
---|
| 902 | REAL(dp) :: dl_max |
---|
| 903 | |
---|
| 904 | LOGICAL , DIMENSION(3) :: ll_even |
---|
| 905 | LOGICAL :: ll_discont |
---|
| 906 | |
---|
| 907 | TYPE(TVAR) :: tl_mix |
---|
| 908 | |
---|
| 909 | TYPE(TATT) :: tl_att |
---|
| 910 | |
---|
| 911 | ! loop indices |
---|
| 912 | INTEGER(i4) :: ji |
---|
| 913 | INTEGER(i4) :: jj |
---|
| 914 | INTEGER(i4) :: jk |
---|
| 915 | INTEGER(i4) :: jl |
---|
| 916 | !---------------------------------------------------------------- |
---|
| 917 | |
---|
| 918 | !1- create mixed grid |
---|
| 919 | CALL interp_create_mixed_grid( td_var, tl_mix, id_rho(:) ) |
---|
| 920 | |
---|
| 921 | ! clean variable structure |
---|
| 922 | CALL var_clean(td_var) |
---|
| 923 | |
---|
| 924 | !2- detect point to be interpolated |
---|
| 925 | ALLOCATE( il_detect( tl_mix%t_dim(1)%i_len, & |
---|
| 926 | & tl_mix%t_dim(2)%i_len, & |
---|
| 927 | & tl_mix%t_dim(3)%i_len) ) |
---|
| 928 | |
---|
| 929 | il_detect(:,:,:)=0 |
---|
| 930 | |
---|
| 931 | il_detect(:,:,:)=interp_detect(tl_mix, id_rho(:) ) |
---|
| 932 | |
---|
| 933 | ! add attribute to variable |
---|
| 934 | cl_interp=fct_concat(tl_mix%c_interp(:)) |
---|
| 935 | tl_att=att_init('interpolation',cl_interp) |
---|
| 936 | CALL var_move_att(tl_mix, tl_att) |
---|
| 937 | |
---|
| 938 | ! special case for even refinement on ARAKAWA-C grid |
---|
| 939 | ll_even(:)=.FALSE. |
---|
| 940 | IF( MOD(id_rho(jp_I),2) == 0 ) ll_even(1)=.TRUE. |
---|
| 941 | IF( MOD(id_rho(jp_J),2) == 0 ) ll_even(2)=.TRUE. |
---|
| 942 | IF( MOD(id_rho(jp_K),2) == 0 ) ll_even(3)=.TRUE. |
---|
| 943 | |
---|
| 944 | SELECT CASE(TRIM(tl_mix%c_point)) |
---|
| 945 | CASE('U') |
---|
| 946 | ll_even(1)=.FALSE. |
---|
| 947 | CASE('V') |
---|
| 948 | ll_even(2)=.FALSE. |
---|
| 949 | CASE('F') |
---|
| 950 | ll_even(:)=.FALSE. |
---|
| 951 | END SELECT |
---|
| 952 | |
---|
| 953 | ALLOCATE(il_rho(ip_maxdim)) |
---|
| 954 | il_rho(:)=id_rho(:) |
---|
| 955 | |
---|
| 956 | IF( ll_even(1) ) il_rho(jp_I)=id_rho(jp_I)+1 |
---|
| 957 | IF( ll_even(2) ) il_rho(jp_J)=id_rho(jp_J)+1 |
---|
| 958 | IF( ll_even(3) ) il_rho(jp_K)=id_rho(jp_K)+1 |
---|
| 959 | |
---|
| 960 | ! special case for longitude |
---|
| 961 | ll_discont=.FALSE. |
---|
| 962 | IF( TRIM(tl_mix%c_units) == 'degrees_east' )THEN |
---|
| 963 | dl_min=MINVAL( tl_mix%d_value(:,:,:,:), & |
---|
| 964 | & tl_mix%d_value(:,:,:,:)/=tl_mix%d_fill) |
---|
| 965 | dl_max=MAXVAL( tl_mix%d_value(:,:,:,:), & |
---|
| 966 | & tl_mix%d_value(:,:,:,:)/=tl_mix%d_fill) |
---|
| 967 | IF( dl_min < -170_dp .AND. dl_max > 170_dp .OR. & |
---|
| 968 | & dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
---|
| 969 | ll_discont=.TRUE. |
---|
| 970 | ENDIF |
---|
| 971 | ENDIF |
---|
| 972 | |
---|
| 973 | !3- interpolate |
---|
| 974 | DO jl=1,tl_mix%t_dim(4)%i_len |
---|
| 975 | IF( il_rho(jp_K) /= 1 )THEN |
---|
| 976 | ! CALL interp__3D(tl_mix%d_value(:,:,:,jl), tl_mix%d_fill, & |
---|
| 977 | ! & il_detect(:,:,:), cd_method, & |
---|
| 978 | ! & il_rhoi, il_rhoj, il_rhok, & |
---|
| 979 | ! & ll_even(:), ll_discont ) |
---|
| 980 | CALL logger_error("INTERP FILL: can not interpolate "//& |
---|
| 981 | & "vertically for now ") |
---|
| 982 | ENDIF |
---|
| 983 | |
---|
| 984 | IF( ANY(il_detect(:,:,:)==1) )THEN |
---|
| 985 | ! I-J plan |
---|
| 986 | DO jk=1,tl_mix%t_dim(3)%i_len |
---|
| 987 | CALL interp__2D(tl_mix%d_value(:,:,jk,jl), tl_mix%d_fill, & |
---|
| 988 | & il_detect(:,:,jk), cd_method, & |
---|
| 989 | & il_rho(jp_I), il_rho(jp_J), & |
---|
| 990 | & ll_even(1:2), ll_discont) |
---|
| 991 | ENDDO |
---|
| 992 | IF( ALL(il_detect(:,:,:)==0) ) CYCLE |
---|
| 993 | IF( il_rho(jp_K) /= 1 )THEN |
---|
| 994 | ! I-K plan |
---|
| 995 | DO jj=1,tl_mix%t_dim(2)%i_len |
---|
| 996 | CALL interp__2D(tl_mix%d_value(:,jj,:,jl), tl_mix%d_fill, & |
---|
| 997 | & il_detect(:,jj,:), cd_method, & |
---|
| 998 | & il_rho(jp_J), il_rho(jp_K), & |
---|
| 999 | & ll_even(1:3:2), ll_discont ) |
---|
| 1000 | ENDDO |
---|
| 1001 | IF( ALL(il_detect(:,:,:)==0) ) CYCLE |
---|
| 1002 | ! J-K plan |
---|
| 1003 | DO ji=1,tl_mix%t_dim(1)%i_len |
---|
| 1004 | CALL interp__2D(tl_mix%d_value(ji,:,:,jl), tl_mix%d_fill, & |
---|
| 1005 | & il_detect(ji,:,:), cd_method, & |
---|
| 1006 | & il_rho(jp_J), il_rho(jp_K), & |
---|
| 1007 | & ll_even(2:3), ll_discont ) |
---|
| 1008 | ENDDO |
---|
| 1009 | |
---|
| 1010 | ENDIF |
---|
| 1011 | IF( ANY(il_detect(:,:,:)==1) )THEN |
---|
| 1012 | ! I direction |
---|
| 1013 | DO jk=1,tl_mix%t_dim(3)%i_len |
---|
| 1014 | DO jj=1,tl_mix%t_dim(2)%i_len |
---|
| 1015 | CALL interp__1D( tl_mix%d_value(:,jj,jk,jl), & |
---|
| 1016 | & tl_mix%d_fill, & |
---|
| 1017 | & il_detect(:,jj,jk), cd_method, & |
---|
| 1018 | & il_rho(jp_I), & |
---|
| 1019 | & ll_even(1), ll_discont ) |
---|
| 1020 | ENDDO |
---|
| 1021 | ENDDO |
---|
| 1022 | IF( ALL(il_detect(:,:,:)==0) ) CYCLE |
---|
| 1023 | ! J direction |
---|
| 1024 | DO jk=1,tl_mix%t_dim(3)%i_len |
---|
| 1025 | DO ji=1,tl_mix%t_dim(1)%i_len |
---|
| 1026 | CALL interp__1D( tl_mix%d_value(ji,:,jk,jl), & |
---|
| 1027 | & tl_mix%d_fill, & |
---|
| 1028 | & il_detect(ji,:,jk), cd_method, & |
---|
| 1029 | & il_rho(jp_J), & |
---|
| 1030 | & ll_even(2), ll_discont ) |
---|
| 1031 | ENDDO |
---|
| 1032 | ENDDO |
---|
| 1033 | IF( il_rho(jp_K) /= 1 )THEN |
---|
| 1034 | IF( ALL(il_detect(:,:,:)==0) ) CYCLE |
---|
| 1035 | ! K direction |
---|
| 1036 | DO jj=1,tl_mix%t_dim(2)%i_len |
---|
| 1037 | DO ji=1,tl_mix%t_dim(1)%i_len |
---|
| 1038 | CALL interp__1D( tl_mix%d_value(ji,jj,:,jl), & |
---|
| 1039 | & tl_mix%d_fill, & |
---|
| 1040 | & il_detect(ji,jj,:), cd_method, & |
---|
| 1041 | & il_rho(jp_K), & |
---|
| 1042 | & ll_even(3), ll_discont ) |
---|
| 1043 | ENDDO |
---|
| 1044 | ENDDO |
---|
| 1045 | ENDIF |
---|
| 1046 | ENDIF |
---|
| 1047 | ENDIF |
---|
| 1048 | ENDDO |
---|
| 1049 | |
---|
| 1050 | IF( ANY(il_detect(:,:,:)==1) )THEN |
---|
| 1051 | CALL logger_warn("INTERP FILL: some points can not be interpolated "//& |
---|
| 1052 | & "for variable "//TRIM(tl_mix%c_name) ) |
---|
| 1053 | ENDIF |
---|
| 1054 | |
---|
| 1055 | DEALLOCATE(il_detect) |
---|
| 1056 | !4- save useful domain (remove offset) |
---|
| 1057 | CALL interp_clean_mixed_grid( tl_mix, td_var, & |
---|
| 1058 | & id_rho(:), & |
---|
| 1059 | & id_offset(:,:) ) |
---|
| 1060 | |
---|
| 1061 | ! clean variable structure |
---|
| 1062 | CALL var_clean(tl_mix) |
---|
| 1063 | |
---|
| 1064 | END SUBROUTINE interp__fill_value |
---|
| 1065 | !> @endcode |
---|
| 1066 | ! !------------------------------------------------------------------- |
---|
| 1067 | ! !> @brief |
---|
| 1068 | ! !> This subroutine |
---|
| 1069 | ! !> |
---|
| 1070 | ! !> @details |
---|
| 1071 | ! !> |
---|
| 1072 | ! !> @author J.Paul |
---|
| 1073 | ! !> - Nov, 2013- Initial Version |
---|
| 1074 | ! ! |
---|
| 1075 | ! !> @param[in] |
---|
| 1076 | ! !> @param[out] |
---|
| 1077 | ! !------------------------------------------------------------------- |
---|
| 1078 | ! !> @code |
---|
| 1079 | ! SUBROUTINE interp__3D( dd_value, dd_fill, & |
---|
| 1080 | ! & id_detect, cd_method, & |
---|
| 1081 | ! & id_rhoi, id_rhoj, id_rhok, & |
---|
| 1082 | ! & ld_even, ld_discont ) |
---|
| 1083 | ! IMPLICIT NONE |
---|
| 1084 | ! ! Argument |
---|
| 1085 | ! REAL(dp) , DIMENSION(:,:,:), INTENT(INOUT) :: dd_value |
---|
| 1086 | ! REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 1087 | ! INTEGER(I4) , DIMENSION(:,:,:), INTENT(INOUT) :: id_detect |
---|
| 1088 | ! CHARACTER(LEN=*) , INTENT(IN ) :: cd_method |
---|
| 1089 | ! INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 1090 | ! INTEGER(I4) , INTENT(IN ) :: id_rhoj |
---|
| 1091 | ! INTEGER(I4) , INTENT(IN ) :: id_rhok |
---|
| 1092 | ! LOGICAL , DIMENSION(:) , INTENT(IN ) :: ld_even |
---|
| 1093 | ! LOGICAL , INTENT(IN ), OPTIONAL :: ld_discont |
---|
| 1094 | ! |
---|
| 1095 | ! ! local variable |
---|
| 1096 | ! INTEGER(i4), DIMENSION(3) :: il_shape |
---|
| 1097 | ! INTEGER(i4), DIMENSION(3) :: il_dim |
---|
| 1098 | ! |
---|
| 1099 | ! REAL(dp) , DIMENSION(:,:,:), ALLOCATABLE :: dl_coarse |
---|
| 1100 | ! REAL(dp) , DIMENSION(:,:,:), ALLOCATABLE :: dl_dfdx |
---|
| 1101 | ! REAL(dp) , DIMENSION(:,:,:), ALLOCATABLE :: dl_dfdy |
---|
| 1102 | ! REAL(dp) , DIMENSION(:,:,:), ALLOCATABLE :: dl_d2fdxy |
---|
| 1103 | ! |
---|
| 1104 | ! LOGICAL :: ll_discont |
---|
| 1105 | ! |
---|
| 1106 | ! ! loop indices |
---|
| 1107 | !! INTEGER(i4) :: ji |
---|
| 1108 | !! INTEGER(i4) :: jj |
---|
| 1109 | !! INTEGER(i4) :: ii |
---|
| 1110 | !! INTEGER(i4) :: ij |
---|
| 1111 | ! !---------------------------------------------------------------- |
---|
| 1112 | ! ll_discont=.FALSE. |
---|
| 1113 | ! IF( PRESENT(ld_discont) ) ll_discont=ld_discont |
---|
| 1114 | ! |
---|
| 1115 | ! il_shape(:)=SHAPE(dd_value) |
---|
| 1116 | ! il_dim(:)=(il_shape(:)-1)/2 |
---|
| 1117 | ! |
---|
| 1118 | ! ALLOCATE( dl_coarse(il_dim(1),il_dim(2),il_dim(3)) ) |
---|
| 1119 | ! ! value on coarse grid |
---|
| 1120 | ! dl_coarse(:,:,:)=dd_value( 1:il_shape(1):id_rhoi, & |
---|
| 1121 | ! & 1:il_shape(2):id_rhoj, & |
---|
| 1122 | ! & 1:il_shape(3):id_rhok ) |
---|
| 1123 | ! SELECT CASE(TRIM(cd_method)) |
---|
| 1124 | ! |
---|
| 1125 | ! CASE('cubic') |
---|
| 1126 | ! |
---|
| 1127 | ! ALLOCATE( dl_dfdx( il_dim(1),il_dim(2),il_dim(3)), & |
---|
| 1128 | ! & dl_dfdy( il_dim(1),il_dim(2),il_dim(3)), & |
---|
| 1129 | ! & dl_d2fdxy(il_dim(1),il_dim(2),il_dim(3)) ) |
---|
| 1130 | ! |
---|
| 1131 | !! ! compute derivative on coarse grid |
---|
| 1132 | !! dl_dfdx(:,:)=extrap_deriv_2D(dl_coarse(:,:,:), dd_fill, 'I') |
---|
| 1133 | !! dl_dfdy(:,:)=extrap_deriv_2D(dl_coarse(:,:,:), dd_fill, 'J') |
---|
| 1134 | !! |
---|
| 1135 | !! ! compute cross derivative on coarse grid |
---|
| 1136 | !! dl_d2fdxy(:,:)=extrap_deriv_2D(dl_dfdx(:,:,:), dd_fill, 'J') |
---|
| 1137 | !! |
---|
| 1138 | !! DO jj=1,il_shape(2)-1,id_rhoj |
---|
| 1139 | !! ij=((jj-1)/id_rhoj)+1 |
---|
| 1140 | !! DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1141 | !! ii=((ji-1)/id_rhoi)+1 |
---|
| 1142 | !! |
---|
| 1143 | !! IF( ANY(dl_coarse(ii:ii+1,ij:ij+1)==dd_fill ) ) CYCLE |
---|
| 1144 | !! ! compute bicubic coefficient |
---|
| 1145 | !! dl_coef(:)=interp__2D_cubic_coef(dl_coarse(ii:ii+1,ij:ij+1),& |
---|
| 1146 | !! & dl_dfdx( ii:ii+1,ij:ij+1),& |
---|
| 1147 | !! & dl_dfdy( ii:ii+1,ij:ij+1),& |
---|
| 1148 | !! & dl_d2fdxy(ii:ii+1,ij:ij+1) ) |
---|
| 1149 | !! |
---|
| 1150 | !! ! compute value on detetected point |
---|
| 1151 | !! CALL interp__2D_cubic_fill(dl_coef(:), & |
---|
| 1152 | !! & dd_value( ji:ji+id_rhoi, & |
---|
| 1153 | !! & jj:jj+id_rhoj ), & |
---|
| 1154 | !! & id_detect(ji:ji+id_rhoi, & |
---|
| 1155 | !! & jj:jj+id_rhoj ) ) |
---|
| 1156 | !! |
---|
| 1157 | !! ENDDO |
---|
| 1158 | !! ENDDO |
---|
| 1159 | ! |
---|
| 1160 | ! DEALLOCATE( dl_dfdx, & |
---|
| 1161 | ! & dl_dfdy, & |
---|
| 1162 | ! & dl_d2fdxy ) |
---|
| 1163 | ! |
---|
| 1164 | ! CASE('nearest') |
---|
| 1165 | ! |
---|
| 1166 | ! CASE DEFAULT ! linear |
---|
| 1167 | ! |
---|
| 1168 | !! DO jj=1,il_shape(2)-1,id_rhoj |
---|
| 1169 | !! ij=((jj-1)/id_rhoj)+1 |
---|
| 1170 | !! DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1171 | !! ii=((ji-1)/id_rhoi)+1 |
---|
| 1172 | !! |
---|
| 1173 | !! IF( ANY(dl_coarse(ii:ii+1,ij:ij+1)==dd_fill ) ) CYCLE |
---|
| 1174 | !! ! compute bilinear coefficient |
---|
| 1175 | !! dl_coef(:)=interp__2D_linear_coef(dl_coarse(ii:ii+1,ij:ij+1)) |
---|
| 1176 | !! |
---|
| 1177 | !! ! compute value on detetected point |
---|
| 1178 | !! CALL interp__2D_linear_fill(dl_coef(:), & |
---|
| 1179 | !! & dd_value( ji:ji+id_rhoi, & |
---|
| 1180 | !! & jj:jj+id_rhoj ), & |
---|
| 1181 | !! & id_detect(ji:ji+id_rhoi, & |
---|
| 1182 | !! & jj:jj+id_rhoj ) ) |
---|
| 1183 | !! |
---|
| 1184 | !! ENDDO |
---|
| 1185 | !! ENDDO |
---|
| 1186 | ! |
---|
| 1187 | ! END SELECT |
---|
| 1188 | ! |
---|
| 1189 | ! DEALLOCATE( dl_coarse ) |
---|
| 1190 | ! |
---|
| 1191 | ! END SUBROUTINE interp__3D |
---|
| 1192 | ! !> @endcode |
---|
| 1193 | !------------------------------------------------------------------- |
---|
| 1194 | !> @brief |
---|
| 1195 | !> This subroutine |
---|
| 1196 | !> |
---|
| 1197 | !> @details |
---|
| 1198 | !> |
---|
| 1199 | !> @author J.Paul |
---|
| 1200 | !> - Nov, 2013- Initial Version |
---|
| 1201 | ! |
---|
| 1202 | !> @param[in] |
---|
| 1203 | !> @param[out] |
---|
| 1204 | !------------------------------------------------------------------- |
---|
| 1205 | !> @code |
---|
| 1206 | SUBROUTINE interp__2D( dd_value, dd_fill, & |
---|
| 1207 | & id_detect, cd_method, & |
---|
| 1208 | & id_rhoi, id_rhoj, & |
---|
| 1209 | & ld_even, ld_discont ) |
---|
| 1210 | |
---|
| 1211 | IMPLICIT NONE |
---|
| 1212 | ! Argument |
---|
| 1213 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
---|
| 1214 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 1215 | INTEGER(I4) , DIMENSION(:,:), INTENT(INOUT) :: id_detect |
---|
| 1216 | CHARACTER(LEN=*) , INTENT(IN ) :: cd_method |
---|
| 1217 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 1218 | INTEGER(I4) , INTENT(IN ) :: id_rhoj |
---|
| 1219 | LOGICAL , DIMENSION(:) , INTENT(IN ) :: ld_even |
---|
| 1220 | LOGICAL , INTENT(IN ), OPTIONAL :: ld_discont |
---|
| 1221 | |
---|
| 1222 | ! local variable |
---|
| 1223 | INTEGER(I4) :: il_xextra |
---|
| 1224 | INTEGER(I4) :: il_yextra |
---|
| 1225 | INTEGER(i4), DIMENSION(2) :: il_shape |
---|
| 1226 | INTEGER(i4), DIMENSION(2) :: il_dim |
---|
| 1227 | |
---|
| 1228 | REAL(dp) :: dl_min |
---|
| 1229 | REAL(dp) :: dl_max |
---|
| 1230 | REAL(dp) , DIMENSION(:) , ALLOCATABLE :: dl_coef |
---|
| 1231 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_coarse |
---|
| 1232 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_tmp |
---|
| 1233 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_dfdx |
---|
| 1234 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_dfdy |
---|
| 1235 | REAL(dp) , DIMENSION(:,:), ALLOCATABLE :: dl_d2fdxy |
---|
| 1236 | |
---|
| 1237 | LOGICAL :: ll_discont |
---|
| 1238 | ! loop indices |
---|
| 1239 | INTEGER(i4) :: ji |
---|
| 1240 | INTEGER(i4) :: jj |
---|
| 1241 | INTEGER(i4) :: ii |
---|
| 1242 | INTEGER(i4) :: ij |
---|
| 1243 | |
---|
| 1244 | !---------------------------------------------------------------- |
---|
| 1245 | ll_discont=.FALSE. |
---|
| 1246 | IF( PRESENT(ld_discont) ) ll_discont=ld_discont |
---|
| 1247 | |
---|
| 1248 | CALL logger_debug("INTERP 2D: interpolation method "//TRIM(cd_method)//& |
---|
| 1249 | & " discont "//TRIM(fct_str(ll_discont)) ) |
---|
| 1250 | |
---|
| 1251 | il_shape(:)=SHAPE(dd_value) |
---|
| 1252 | |
---|
| 1253 | ! compute coarse grid dimension |
---|
| 1254 | il_xextra=id_rhoi-1 |
---|
| 1255 | il_dim(1)=(il_shape(1)+il_xextra)/id_rhoi |
---|
| 1256 | |
---|
| 1257 | il_yextra=id_rhoj-1 |
---|
| 1258 | il_dim(2)=(il_shape(2)+il_yextra)/id_rhoj |
---|
| 1259 | |
---|
| 1260 | ALLOCATE( dl_coarse(il_dim(1),il_dim(2)) ) |
---|
| 1261 | |
---|
| 1262 | ! value on coarse grid |
---|
| 1263 | dl_coarse(:,:)=dd_value( 1:il_shape(1):id_rhoi, & |
---|
| 1264 | & 1:il_shape(2):id_rhoj ) |
---|
| 1265 | |
---|
| 1266 | SELECT CASE(TRIM(cd_method)) |
---|
| 1267 | |
---|
| 1268 | CASE('cubic') |
---|
| 1269 | |
---|
| 1270 | ALLOCATE( dl_dfdx( il_dim(1),il_dim(2)), & |
---|
| 1271 | & dl_dfdy( il_dim(1),il_dim(2)), & |
---|
| 1272 | & dl_d2fdxy(il_dim(1),il_dim(2)) ) |
---|
| 1273 | |
---|
| 1274 | ! compute derivative on coarse grid |
---|
| 1275 | dl_dfdx(:,:)=extrap_deriv_2D(dl_coarse(:,:), dd_fill, 'I', ll_discont) |
---|
| 1276 | dl_dfdy(:,:)=extrap_deriv_2D(dl_coarse(:,:), dd_fill, 'J', ll_discont) |
---|
| 1277 | |
---|
| 1278 | ! compute cross derivative on coarse grid |
---|
| 1279 | dl_d2fdxy(:,:)=extrap_deriv_2D(dl_dfdx(:,:), dd_fill, 'J', ll_discont) |
---|
| 1280 | |
---|
| 1281 | ALLOCATE( dl_tmp(2,2) ) |
---|
| 1282 | ALLOCATE( dl_coef(16) ) |
---|
| 1283 | |
---|
| 1284 | DO jj=1,il_shape(2)-1,id_rhoj |
---|
| 1285 | ij=((jj-1)/id_rhoj)+1 |
---|
| 1286 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1287 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1288 | |
---|
| 1289 | IF( ANY(dl_coarse(ii:ii+1,ij:ij+1)==dd_fill) .OR. & |
---|
| 1290 | & ANY( dl_dfdx(ii:ii+1,ij:ij+1)==dd_fill) .OR. & |
---|
| 1291 | & ANY( dl_dfdy(ii:ii+1,ij:ij+1)==dd_fill) .OR. & |
---|
| 1292 | & ANY(dl_d2fdxy(ii:ii+1,ij:ij+1)==dd_fill) ) CYCLE |
---|
| 1293 | |
---|
| 1294 | dl_tmp(:,:)=dl_coarse(ii:ii+1,ij:ij+1) |
---|
| 1295 | IF( ll_discont )THEN |
---|
| 1296 | |
---|
| 1297 | dl_min=MINVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
---|
| 1298 | dl_max=MAXVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
---|
| 1299 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
---|
| 1300 | WHERE( dl_tmp(:,:) < 0_dp ) |
---|
| 1301 | dl_tmp(:,:) = dl_tmp(:,:)+360._dp |
---|
| 1302 | END WHERE |
---|
| 1303 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
---|
| 1304 | WHERE( dl_tmp(:,:) > 180_dp ) |
---|
| 1305 | dl_tmp(:,:) = dl_tmp(:,:)-180._dp |
---|
| 1306 | END WHERE |
---|
| 1307 | ENDIF |
---|
| 1308 | ENDIF |
---|
| 1309 | |
---|
| 1310 | ! compute bicubic coefficient |
---|
| 1311 | dl_coef(:)=interp__2D_cubic_coef(dl_tmp(:,:),& |
---|
| 1312 | & dl_dfdx( ii:ii+1,ij:ij+1),& |
---|
| 1313 | & dl_dfdy( ii:ii+1,ij:ij+1),& |
---|
| 1314 | & dl_d2fdxy( ii:ii+1,ij:ij+1),& |
---|
| 1315 | & dd_fill ) |
---|
| 1316 | |
---|
| 1317 | ! compute value on detetected point |
---|
| 1318 | CALL interp__2D_cubic_fill(dd_value( ji:ji+id_rhoi, & |
---|
| 1319 | & jj:jj+id_rhoj ), & |
---|
| 1320 | & id_detect(ji:ji+id_rhoi, & |
---|
| 1321 | & jj:jj+id_rhoj ), & |
---|
| 1322 | & dl_coef(:), dd_fill, & |
---|
| 1323 | & ld_even(:), id_rhoi, id_rhoj ) |
---|
| 1324 | |
---|
| 1325 | IF( ll_discont )THEN |
---|
| 1326 | WHERE( dd_value( ji:ji+id_rhoi, & |
---|
| 1327 | & jj:jj+id_rhoj ) >= 180._dp .AND. & |
---|
| 1328 | & dd_value( ji:ji+id_rhoi, & |
---|
| 1329 | & jj:jj+id_rhoj ) /= dd_fill ) |
---|
| 1330 | dd_value( ji:ji+id_rhoi, & |
---|
| 1331 | & jj:jj+id_rhoj ) = & |
---|
| 1332 | & dd_value( ji:ji+id_rhoi, & |
---|
| 1333 | & jj:jj+id_rhoj ) - 360._dp |
---|
| 1334 | END WHERE |
---|
| 1335 | ENDIF |
---|
| 1336 | |
---|
| 1337 | ENDDO |
---|
| 1338 | ENDDO |
---|
| 1339 | |
---|
| 1340 | DEALLOCATE(dl_coef) |
---|
| 1341 | DEALLOCATE(dl_tmp ) |
---|
| 1342 | |
---|
| 1343 | DEALLOCATE(dl_dfdx, & |
---|
| 1344 | & dl_dfdy, & |
---|
| 1345 | & dl_d2fdxy ) |
---|
| 1346 | |
---|
| 1347 | CASE('nearest') |
---|
| 1348 | |
---|
| 1349 | DO jj=1,il_shape(2)-1,id_rhoj |
---|
| 1350 | ij=((jj-1)/id_rhoj)+1 |
---|
| 1351 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1352 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1353 | |
---|
| 1354 | ! compute value on detetected point |
---|
| 1355 | CALL interp__2D_nearest_fill(dd_value( ji:ji+id_rhoi, & |
---|
| 1356 | & jj:jj+id_rhoj ), & |
---|
| 1357 | & id_detect(ji:ji+id_rhoi, & |
---|
| 1358 | & jj:jj+id_rhoj ) ) |
---|
| 1359 | |
---|
| 1360 | ENDDO |
---|
| 1361 | ENDDO |
---|
| 1362 | |
---|
| 1363 | CASE DEFAULT ! linear |
---|
| 1364 | |
---|
| 1365 | ALLOCATE( dl_coef(4) ) |
---|
| 1366 | ALLOCATE( dl_tmp(2,2) ) |
---|
| 1367 | |
---|
| 1368 | DO jj=1,il_shape(2)-1,id_rhoj |
---|
| 1369 | ij=((jj-1)/id_rhoj)+1 |
---|
| 1370 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1371 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1372 | |
---|
| 1373 | IF( ANY(dl_coarse(ii:ii+1,ij:ij+1)==dd_fill ) ) CYCLE |
---|
| 1374 | |
---|
| 1375 | dl_tmp(:,:)=dl_coarse(ii:ii+1,ij:ij+1) |
---|
| 1376 | IF( ll_discont )THEN |
---|
| 1377 | |
---|
| 1378 | dl_min=MINVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
---|
| 1379 | dl_max=MAXVAL( dl_tmp(:,:), dl_tmp(:,:)/=dd_fill ) |
---|
| 1380 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
---|
| 1381 | WHERE( dl_tmp(:,:) < 0_dp ) |
---|
| 1382 | dl_tmp(:,:) = dl_tmp(:,:)+360._dp |
---|
| 1383 | END WHERE |
---|
| 1384 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
---|
| 1385 | WHERE( dl_tmp(:,:) > 180_dp ) |
---|
| 1386 | dl_tmp(:,:) = dl_tmp(:,:)-180._dp |
---|
| 1387 | END WHERE |
---|
| 1388 | ENDIF |
---|
| 1389 | ENDIF |
---|
| 1390 | |
---|
| 1391 | ! compute bilinear coefficient |
---|
| 1392 | dl_coef(:)=interp__2D_linear_coef(dl_tmp(:,:), dd_fill) |
---|
| 1393 | |
---|
| 1394 | ! compute value on detetected point |
---|
| 1395 | CALL interp__2D_linear_fill(dd_value( ji:ji+id_rhoi, & |
---|
| 1396 | & jj:jj+id_rhoj ), & |
---|
| 1397 | & id_detect(ji:ji+id_rhoi, & |
---|
| 1398 | & jj:jj+id_rhoj ), & |
---|
| 1399 | & dl_coef(:), dd_fill, & |
---|
| 1400 | & ld_even(:), id_rhoi, id_rhoj ) |
---|
| 1401 | |
---|
| 1402 | IF( ll_discont )THEN |
---|
| 1403 | WHERE( dd_value( ji:ji+id_rhoi, & |
---|
| 1404 | & jj:jj+id_rhoj ) >= 180._dp .AND. & |
---|
| 1405 | & dd_value( ji:ji+id_rhoi, & |
---|
| 1406 | & jj:jj+id_rhoj ) /= dd_fill ) |
---|
| 1407 | dd_value( ji:ji+id_rhoi, & |
---|
| 1408 | & jj:jj+id_rhoj ) = & |
---|
| 1409 | & dd_value( ji:ji+id_rhoi, & |
---|
| 1410 | & jj:jj+id_rhoj ) - 360._dp |
---|
| 1411 | END WHERE |
---|
| 1412 | ENDIF |
---|
| 1413 | |
---|
| 1414 | ENDDO |
---|
| 1415 | ENDDO |
---|
| 1416 | |
---|
| 1417 | DEALLOCATE(dl_coef) |
---|
| 1418 | DEALLOCATE(dl_tmp ) |
---|
| 1419 | |
---|
| 1420 | END SELECT |
---|
| 1421 | |
---|
| 1422 | DEALLOCATE( dl_coarse ) |
---|
| 1423 | |
---|
| 1424 | END SUBROUTINE interp__2D |
---|
| 1425 | !> @endcode |
---|
| 1426 | !------------------------------------------------------------------- |
---|
| 1427 | !> @brief |
---|
| 1428 | !> This subroutine |
---|
| 1429 | !> |
---|
| 1430 | !> @details |
---|
| 1431 | !> |
---|
| 1432 | !> @author J.Paul |
---|
| 1433 | !> - Nov, 2013- Initial Version |
---|
| 1434 | ! |
---|
| 1435 | !> @param[in] |
---|
| 1436 | !> @param[out] |
---|
| 1437 | !------------------------------------------------------------------- |
---|
| 1438 | !> @code |
---|
| 1439 | SUBROUTINE interp__1D( dd_value, dd_fill, & |
---|
| 1440 | & id_detect, cd_method, & |
---|
| 1441 | & id_rhoi, & |
---|
| 1442 | & ld_even, ld_discont ) |
---|
| 1443 | IMPLICIT NONE |
---|
| 1444 | ! Argument |
---|
| 1445 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 1446 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 1447 | INTEGER(I4) , DIMENSION(:), INTENT(INOUT) :: id_detect |
---|
| 1448 | CHARACTER(LEN=*) , INTENT(IN ) :: cd_method |
---|
| 1449 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 1450 | LOGICAL , INTENT(IN ) :: ld_even |
---|
| 1451 | LOGICAL , INTENT(IN ), OPTIONAL :: ld_discont |
---|
| 1452 | |
---|
| 1453 | ! local variable |
---|
| 1454 | INTEGER(i4), DIMENSION(1) :: il_shape |
---|
| 1455 | INTEGER(i4), DIMENSION(1) :: il_dim |
---|
| 1456 | INTEGER(I4) :: il_xextra |
---|
| 1457 | |
---|
| 1458 | REAL(dp) :: dl_min |
---|
| 1459 | REAL(dp) :: dl_max |
---|
| 1460 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_coarse |
---|
| 1461 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_tmp |
---|
| 1462 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_dfdx |
---|
| 1463 | |
---|
| 1464 | REAL(dp) , DIMENSION(:), ALLOCATABLE :: dl_coef |
---|
| 1465 | |
---|
| 1466 | LOGICAL :: ll_discont |
---|
| 1467 | |
---|
| 1468 | ! loop indices |
---|
| 1469 | INTEGER(i4) :: ji |
---|
| 1470 | INTEGER(i4) :: ii |
---|
| 1471 | !---------------------------------------------------------------- |
---|
| 1472 | ll_discont=.FALSE. |
---|
| 1473 | IF( PRESENT(ld_discont) ) ll_discont=ld_discont |
---|
| 1474 | |
---|
| 1475 | CALL logger_debug("INTERP 1D: interpolation method "//TRIM(cd_method)//& |
---|
| 1476 | & " discont "//TRIM(fct_str(ll_discont)) ) |
---|
| 1477 | |
---|
| 1478 | il_shape(:)=SHAPE(dd_value) |
---|
| 1479 | |
---|
| 1480 | il_xextra=id_rhoi-1 |
---|
| 1481 | il_dim(1)=(il_shape(1)+il_xextra)/id_rhoi |
---|
| 1482 | |
---|
| 1483 | ALLOCATE( dl_coarse(il_dim(1)) ) |
---|
| 1484 | ! value on coarse grid |
---|
| 1485 | dl_coarse(:)=dd_value( 1:il_shape(1):id_rhoi ) |
---|
| 1486 | |
---|
| 1487 | SELECT CASE(TRIM(cd_method)) |
---|
| 1488 | |
---|
| 1489 | CASE('cubic') |
---|
| 1490 | |
---|
| 1491 | ALLOCATE( dl_dfdx( il_dim(1)) ) |
---|
| 1492 | |
---|
| 1493 | ! compute derivative on coarse grid |
---|
| 1494 | dl_dfdx(:)=extrap_deriv_1D(dl_coarse(:), dd_fill, ll_discont) |
---|
| 1495 | |
---|
| 1496 | ALLOCATE( dl_coef(4)) |
---|
| 1497 | ALLOCATE( dl_tmp(2) ) |
---|
| 1498 | |
---|
| 1499 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1500 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1501 | |
---|
| 1502 | IF( ANY( dl_tmp(:)==dd_fill ) .OR. & |
---|
| 1503 | & ANY(dl_dfdx(:)==dd_fill ) ) CYCLE |
---|
| 1504 | |
---|
| 1505 | dl_tmp(:)=dl_coarse(ii:ii+1) |
---|
| 1506 | IF( ll_discont )THEN |
---|
| 1507 | |
---|
| 1508 | dl_min=MINVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
---|
| 1509 | dl_max=MAXVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
---|
| 1510 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
---|
| 1511 | WHERE( dl_tmp(:) < 0_dp ) |
---|
| 1512 | dl_tmp(:) = dl_tmp(:)+360._dp |
---|
| 1513 | END WHERE |
---|
| 1514 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
---|
| 1515 | WHERE( dl_tmp(:) > 180_dp ) |
---|
| 1516 | dl_tmp(:) = dl_tmp(:)-180._dp |
---|
| 1517 | END WHERE |
---|
| 1518 | ENDIF |
---|
| 1519 | ENDIF |
---|
| 1520 | |
---|
| 1521 | ! compute bicubic coefficient |
---|
| 1522 | dl_coef(:)=interp__1D_cubic_coef(dl_tmp(:),& |
---|
| 1523 | & dl_dfdx( ii:ii+1), & |
---|
| 1524 | & dd_fill ) |
---|
| 1525 | |
---|
| 1526 | ! compute value on detetected point |
---|
| 1527 | CALL interp__1D_cubic_fill(dd_value( ji:ji+id_rhoi),& |
---|
| 1528 | & id_detect(ji:ji+id_rhoi),& |
---|
| 1529 | & dl_coef(:), dd_fill, & |
---|
| 1530 | & ld_even, id_rhoi ) |
---|
| 1531 | |
---|
| 1532 | IF( ll_discont )THEN |
---|
| 1533 | WHERE( dd_value( ji:ji+id_rhoi ) >= 180._dp .AND. & |
---|
| 1534 | & dd_value( ji:ji+id_rhoi ) /= dd_fill ) |
---|
| 1535 | dd_value( ji:ji+id_rhoi ) = & |
---|
| 1536 | & dd_value( ji:ji+id_rhoi ) - 360._dp |
---|
| 1537 | END WHERE |
---|
| 1538 | ENDIF |
---|
| 1539 | |
---|
| 1540 | ENDDO |
---|
| 1541 | |
---|
| 1542 | DEALLOCATE(dl_coef) |
---|
| 1543 | DEALLOCATE(dl_tmp ) |
---|
| 1544 | |
---|
| 1545 | CASE('nearest') |
---|
| 1546 | |
---|
| 1547 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1548 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1549 | |
---|
| 1550 | ! compute value on detetected point |
---|
| 1551 | CALL interp__1D_nearest_fill(dd_value( ji:ji+id_rhoi), & |
---|
| 1552 | & id_detect(ji:ji+id_rhoi) ) |
---|
| 1553 | |
---|
| 1554 | ENDDO |
---|
| 1555 | |
---|
| 1556 | CASE DEFAULT ! linear |
---|
| 1557 | |
---|
| 1558 | ALLOCATE(dl_coef(2)) |
---|
| 1559 | ALLOCATE( dl_tmp(2) ) |
---|
| 1560 | |
---|
| 1561 | DO ji=1,il_shape(1)-1,id_rhoi |
---|
| 1562 | ii=((ji-1)/id_rhoi)+1 |
---|
| 1563 | |
---|
| 1564 | IF( ANY(dl_coarse(ii:ii+1)==dd_fill ) ) CYCLE |
---|
| 1565 | |
---|
| 1566 | dl_tmp(:)=dl_coarse(ii:ii+1) |
---|
| 1567 | IF( ll_discont )THEN |
---|
| 1568 | |
---|
| 1569 | dl_min=MINVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
---|
| 1570 | dl_max=MAXVAL( dl_tmp(:), dl_tmp(:)/=dd_fill ) |
---|
| 1571 | IF( dl_min < -170_dp .AND. dl_max > 170_dp )THEN |
---|
| 1572 | WHERE( dl_tmp(:) < 0_dp ) |
---|
| 1573 | dl_tmp(:) = dl_tmp(:)+360._dp |
---|
| 1574 | END WHERE |
---|
| 1575 | ELSEIF( dl_min < 10_dp .AND. dl_max > 350_dp )THEN |
---|
| 1576 | WHERE( dl_tmp(:) > 180_dp ) |
---|
| 1577 | dl_tmp(:) = dl_tmp(:)-180._dp |
---|
| 1578 | END WHERE |
---|
| 1579 | ENDIF |
---|
| 1580 | ENDIF |
---|
| 1581 | |
---|
| 1582 | ! compute bilinear coefficient |
---|
| 1583 | dl_coef(:)=interp__1D_linear_coef(dl_tmp(:), dd_fill) |
---|
| 1584 | |
---|
| 1585 | ! compute value on detetected point |
---|
| 1586 | CALL interp__1D_linear_fill( dd_value( ji:ji+id_rhoi),& |
---|
| 1587 | & id_detect(ji:ji+id_rhoi),& |
---|
| 1588 | & dl_coef(:), dd_fill, & |
---|
| 1589 | & ld_even, id_rhoi ) |
---|
| 1590 | |
---|
| 1591 | IF( ll_discont )THEN |
---|
| 1592 | WHERE( dd_value( ji:ji+id_rhoi ) >= 180._dp .AND. & |
---|
| 1593 | & dd_value( ji:ji+id_rhoi ) /= dd_fill ) |
---|
| 1594 | dd_value( ji:ji+id_rhoi ) = & |
---|
| 1595 | & dd_value( ji:ji+id_rhoi ) - 360._dp |
---|
| 1596 | END WHERE |
---|
| 1597 | ENDIF |
---|
| 1598 | |
---|
| 1599 | ENDDO |
---|
| 1600 | |
---|
| 1601 | DEALLOCATE(dl_coef) |
---|
| 1602 | |
---|
| 1603 | END SELECT |
---|
| 1604 | |
---|
| 1605 | DEALLOCATE( dl_coarse ) |
---|
| 1606 | |
---|
| 1607 | END SUBROUTINE interp__1D |
---|
| 1608 | !> @endcode |
---|
| 1609 | !------------------------------------------------------------------- |
---|
| 1610 | !> @brief |
---|
| 1611 | !> This subroutine |
---|
| 1612 | !> |
---|
| 1613 | !> @details |
---|
| 1614 | !> |
---|
| 1615 | !> @author J.Paul |
---|
| 1616 | !> - Nov, 2013- Initial Version |
---|
| 1617 | ! |
---|
| 1618 | !> @param[in] |
---|
| 1619 | !> @param[out] |
---|
| 1620 | !------------------------------------------------------------------- |
---|
| 1621 | !> @code |
---|
| 1622 | FUNCTION interp__2D_cubic_coef( dd_value, & |
---|
| 1623 | & dd_dfdx, & |
---|
| 1624 | & dd_dfdy, & |
---|
| 1625 | & dd_d2fdxy,& |
---|
| 1626 | & dd_fill ) |
---|
| 1627 | IMPLICIT NONE |
---|
| 1628 | ! Argument |
---|
| 1629 | REAL(dp), DIMENSION(:,:), INTENT(IN) :: dd_value |
---|
| 1630 | REAL(dp), DIMENSION(:,:), INTENT(IN) :: dd_dfdx |
---|
| 1631 | REAL(dp), DIMENSION(:,:), INTENT(IN) :: dd_dfdy |
---|
| 1632 | REAL(dp), DIMENSION(:,:), INTENT(IN) :: dd_d2fdxy |
---|
| 1633 | REAL(dp) , INTENT(IN) :: dd_fill |
---|
| 1634 | |
---|
| 1635 | ! function |
---|
| 1636 | REAL(dp), DIMENSION(16) :: interp__2D_cubic_coef |
---|
| 1637 | |
---|
| 1638 | ! local variable |
---|
| 1639 | REAL(dp), DIMENSION(16,16), PARAMETER :: dp_matrix = RESHAPE( & |
---|
| 1640 | & (/ 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1641 | 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1642 | -3 , 3 , 0 , 0 ,-2 ,-1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1643 | 2 ,-2 , 0 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1644 | 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1645 | 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 ,& |
---|
| 1646 | 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ,-3 , 3 , 0 , 0 ,-2 ,-1 , 0 , 0 ,& |
---|
| 1647 | 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 2 ,-2 , 0 , 0 , 1 , 1 , 0 , 0 ,& |
---|
| 1648 | -3 , 0 , 3 , 0 , 0 , 0 , 0 , 0 ,-2 , 0 ,-1 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1649 | 0 , 0 , 0 , 0 ,-3 , 0 , 3 , 0 , 0 , 0 , 0 , 0 ,-2 , 0 ,-1 , 0 ,& |
---|
| 1650 | 9 ,-9 ,-9 , 9 , 6 , 3 ,-6 ,-3 , 6 ,-6 , 3 ,-3 , 4 , 2 , 2 , 1 ,& |
---|
| 1651 | -6 , 6 , 6 ,-6 ,-3 ,-3 , 3 , 3 ,-4 , 4 ,-2 , 2 ,-2 ,-2 ,-1 ,-1 ,& |
---|
| 1652 | 2 , 0 ,-2 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 0 ,& |
---|
| 1653 | 0 , 0 , 0 , 0 , 2 , 0 ,-2 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 ,& |
---|
| 1654 | -6 , 6 , 6 ,-6 ,-4 ,-2 , 4 , 2 ,-3 , 3 ,-3 , 3 ,-2 ,-1 ,-2 ,-1 ,& |
---|
| 1655 | 4 ,-4 ,-4 , 4 , 2 , 2 ,-2 ,-2 , 2 ,-2 , 2 ,-2 , 1 , 1 , 1 , 1 /), & |
---|
| 1656 | & (/ 16, 16 /) ) |
---|
| 1657 | |
---|
| 1658 | REAL(dp), DIMENSION(16) :: dl_vect |
---|
| 1659 | |
---|
| 1660 | !---------------------------------------------------------------- |
---|
| 1661 | ! init |
---|
| 1662 | interp__2D_cubic_coef(:)=dd_fill |
---|
| 1663 | |
---|
| 1664 | IF( ANY(SHAPE( dd_value(:,:))/= 2) .OR. & |
---|
| 1665 | & ANY(SHAPE( dd_dfdx(:,:))/= 2) .OR. & |
---|
| 1666 | & ANY(SHAPE( dd_dfdy(:,:))/= 2) .OR. & |
---|
| 1667 | & ANY(SHAPE(dd_d2fdxy(:,:))/= 2) )THEN |
---|
| 1668 | |
---|
| 1669 | CALL logger_error("INTERP CUBIC COEF: invalid dimension of "//& |
---|
| 1670 | & "input tables. shape should be (/2,2/)") |
---|
| 1671 | |
---|
| 1672 | ELSEIF( ANY( dd_value(:,:) == dd_fill) .OR. & |
---|
| 1673 | & ANY( dd_dfdx(:,:) == dd_fill) .OR. & |
---|
| 1674 | & ANY( dd_dfdy(:,:) == dd_fill) .OR. & |
---|
| 1675 | & ANY(dd_d2fdxy(:,:) == dd_fill) )THEN |
---|
| 1676 | |
---|
| 1677 | CALL logger_warn("INTERP CUBIC COEF: fill value detected. "//& |
---|
| 1678 | & "can not compute coefficient ") |
---|
| 1679 | |
---|
| 1680 | ELSE |
---|
| 1681 | |
---|
| 1682 | dl_vect( 1: 4)=PACK(dd_value(:,:),.TRUE. ) |
---|
| 1683 | dl_vect( 5: 8)=PACK(dd_dfdx(:,:),.TRUE. ) |
---|
| 1684 | dl_vect( 9:12)=PACK(dd_dfdy(:,:),.TRUE. ) |
---|
| 1685 | dl_vect(13:16)=PACK(dd_d2fdxy(:,:),.TRUE. ) |
---|
| 1686 | |
---|
| 1687 | interp__2D_cubic_coef(:)=MATMUL(TRANSPOSE(dp_matrix(:,:)),dl_vect(:)) |
---|
| 1688 | |
---|
| 1689 | ENDIF |
---|
| 1690 | END FUNCTION interp__2D_cubic_coef |
---|
| 1691 | !> @endcode |
---|
| 1692 | !------------------------------------------------------------------- |
---|
| 1693 | !> @brief |
---|
| 1694 | !> This subroutine |
---|
| 1695 | !> |
---|
| 1696 | !> @details |
---|
| 1697 | !> |
---|
| 1698 | !> @author J.Paul |
---|
| 1699 | !> - Nov, 2013- Initial Version |
---|
| 1700 | ! |
---|
| 1701 | !> @param[in] |
---|
| 1702 | !> @param[out] |
---|
| 1703 | !------------------------------------------------------------------- |
---|
| 1704 | !> @code |
---|
| 1705 | SUBROUTINE interp__2D_cubic_fill( dd_value, id_detect, dd_coef, dd_fill, & |
---|
| 1706 | & ld_even, id_rhoi, id_rhoj ) |
---|
| 1707 | IMPLICIT NONE |
---|
| 1708 | ! Argument |
---|
| 1709 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
---|
| 1710 | INTEGER(i4) , DIMENSION(:,:), INTENT(INOUT) :: id_detect |
---|
| 1711 | REAL(dp) , DIMENSION(:) , INTENT(IN ) :: dd_coef |
---|
| 1712 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 1713 | LOGICAL , DIMENSION(:), INTENT(IN ) :: ld_even |
---|
| 1714 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 1715 | INTEGER(I4) , INTENT(IN ) :: id_rhoj |
---|
| 1716 | |
---|
| 1717 | ! local variable |
---|
| 1718 | INTEGER(i4), DIMENSION(2) :: il_shape |
---|
| 1719 | |
---|
| 1720 | REAL(dp) , DIMENSION(16) :: dl_vect |
---|
| 1721 | REAL(dp) :: dl_dx |
---|
| 1722 | REAL(dp) :: dl_dy |
---|
| 1723 | REAL(dp) :: dl_x |
---|
| 1724 | REAL(dp) :: dl_x2 |
---|
| 1725 | REAL(dp) :: dl_x3 |
---|
| 1726 | REAL(dp) :: dl_y |
---|
| 1727 | REAL(dp) :: dl_y2 |
---|
| 1728 | REAL(dp) :: dl_y3 |
---|
| 1729 | |
---|
| 1730 | ! loop indices |
---|
| 1731 | INTEGER(i4) :: ji |
---|
| 1732 | INTEGER(i4) :: jj |
---|
| 1733 | !---------------------------------------------------------------- |
---|
| 1734 | |
---|
| 1735 | IF( SIZE(dd_coef(:)) /= 16 )THEN |
---|
| 1736 | CALL logger_error("INTERP CUBIC FILL: invalid dimension of "//& |
---|
| 1737 | & "coef table. shape should be (/16/)") |
---|
| 1738 | ELSEIF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 1739 | CALL logger_error("INTERP CUBIC FILL: fill value detected in coef . "//& |
---|
| 1740 | & "can not compute interpolation.") |
---|
| 1741 | ELSE |
---|
| 1742 | |
---|
| 1743 | il_shape(:)=SHAPE(dd_value(:,:)) |
---|
| 1744 | |
---|
| 1745 | dl_dx=1./REAL(id_rhoi) |
---|
| 1746 | dl_dy=1./REAL(id_rhoj) |
---|
| 1747 | |
---|
| 1748 | DO jj=1,il_shape(2) |
---|
| 1749 | |
---|
| 1750 | IF( ld_even(2) )THEN |
---|
| 1751 | dl_y=(jj-1)*dl_dy - dl_dy*0.5 |
---|
| 1752 | ELSE ! odd refinement |
---|
| 1753 | dl_y=(jj-1)*dl_dy |
---|
| 1754 | ENDIF |
---|
| 1755 | dl_y2=dl_y*dl_y |
---|
| 1756 | dl_y3=dl_y2*dl_y |
---|
| 1757 | |
---|
| 1758 | DO ji=1,il_shape(1) |
---|
| 1759 | |
---|
| 1760 | IF(id_detect(ji,jj)==1)THEN |
---|
| 1761 | |
---|
| 1762 | IF( ld_even(1) )THEN |
---|
| 1763 | dl_x=(ji-1)*dl_dx - dl_dx*0.5 |
---|
| 1764 | ELSE ! odd refinement |
---|
| 1765 | dl_x=(ji-1)*dl_dx |
---|
| 1766 | ENDIF |
---|
| 1767 | dl_x2=dl_x*dl_x |
---|
| 1768 | dl_x3=dl_x2*dl_x |
---|
| 1769 | |
---|
| 1770 | dl_vect(:)=(/1._dp, dl_x , dl_x2 , dl_x3 , & |
---|
| 1771 | & dl_y , dl_x*dl_y , dl_x2*dl_y , dl_x3*dl_y , & |
---|
| 1772 | & dl_y2, dl_x*dl_y2, dl_x2*dl_y2, dl_x3*dl_y2, & |
---|
| 1773 | & dl_y3, dl_x*dl_y3, dl_x2*dl_y3, dl_x3*dl_y3 /) |
---|
| 1774 | |
---|
| 1775 | dd_value(ji,jj)=DOT_PRODUCT(dd_coef(:),dl_vect(:)) |
---|
| 1776 | id_detect(ji,jj)=0 |
---|
| 1777 | |
---|
| 1778 | ENDIF |
---|
| 1779 | |
---|
| 1780 | ENDDO |
---|
| 1781 | ENDDO |
---|
| 1782 | |
---|
| 1783 | ENDIF |
---|
| 1784 | |
---|
| 1785 | END SUBROUTINE interp__2D_cubic_fill |
---|
| 1786 | !> @endcode |
---|
| 1787 | !------------------------------------------------------------------- |
---|
| 1788 | !> @brief |
---|
| 1789 | !> This subroutine |
---|
| 1790 | !> |
---|
| 1791 | !> @details |
---|
| 1792 | !> |
---|
| 1793 | !> @author J.Paul |
---|
| 1794 | !> - Nov, 2013- Initial Version |
---|
| 1795 | ! |
---|
| 1796 | !> @param[in] |
---|
| 1797 | !> @param[out] |
---|
| 1798 | !------------------------------------------------------------------- |
---|
| 1799 | !> @code |
---|
| 1800 | FUNCTION interp__2D_linear_coef( dd_value, dd_fill ) |
---|
| 1801 | IMPLICIT NONE |
---|
| 1802 | ! Argument |
---|
| 1803 | REAL(dp), DIMENSION(:,:) , INTENT(IN) :: dd_value |
---|
| 1804 | REAL(dp) , INTENT(IN) :: dd_fill |
---|
| 1805 | |
---|
| 1806 | ! function |
---|
| 1807 | REAL(dp), DIMENSION(4) :: interp__2D_linear_coef |
---|
| 1808 | |
---|
| 1809 | ! local variable |
---|
| 1810 | |
---|
| 1811 | REAL(dp), DIMENSION(4,4), PARAMETER :: dp_matrix = RESHAPE( & |
---|
| 1812 | & (/ 1 , 0 , 0 , 0 ,& |
---|
| 1813 | -1 , 1 , 0 , 0 ,& |
---|
| 1814 | -1 , 0 , 1 , 0 ,& |
---|
| 1815 | 1 ,-1 ,-1 , 1 /), & |
---|
| 1816 | & (/ 4, 4 /) ) |
---|
| 1817 | |
---|
| 1818 | REAL(dp), DIMENSION(4) :: dl_vect |
---|
| 1819 | |
---|
| 1820 | !---------------------------------------------------------------- |
---|
| 1821 | |
---|
| 1822 | IF( ANY(SHAPE(dd_value(:,:))/= 2) )THEN |
---|
| 1823 | CALL logger_error("INTERP LINEAR COEF: invalid dimension of "//& |
---|
| 1824 | & "input tables. shape should be (/2,2/)") |
---|
| 1825 | ELSEIF( ANY(dd_value(:,:)==dd_fill) )THEN |
---|
| 1826 | CALL logger_error("INTERP LINEAR COEF: fill value detected. "//& |
---|
| 1827 | & "can not compute coefficient.") |
---|
| 1828 | ELSE |
---|
| 1829 | |
---|
| 1830 | dl_vect( 1: 4)=PACK(dd_value(:,:),.TRUE. ) |
---|
| 1831 | |
---|
| 1832 | interp__2D_linear_coef(:)=MATMUL(TRANSPOSE(dp_matrix(:,:)),dl_vect(:)) |
---|
| 1833 | |
---|
| 1834 | ENDIF |
---|
| 1835 | END FUNCTION interp__2D_linear_coef |
---|
| 1836 | !> @endcode |
---|
| 1837 | !------------------------------------------------------------------- |
---|
| 1838 | !> @brief |
---|
| 1839 | !> This subroutine |
---|
| 1840 | !> |
---|
| 1841 | !> @details |
---|
| 1842 | !> |
---|
| 1843 | !> @author J.Paul |
---|
| 1844 | !> - Nov, 2013- Initial Version |
---|
| 1845 | ! |
---|
| 1846 | !> @param[in] |
---|
| 1847 | !> @param[out] |
---|
| 1848 | !------------------------------------------------------------------- |
---|
| 1849 | !> @code |
---|
| 1850 | SUBROUTINE interp__2D_linear_fill( dd_value, id_detect, dd_coef, dd_fill, & |
---|
| 1851 | & ld_even, id_rhoi, id_rhoj ) |
---|
| 1852 | IMPLICIT NONE |
---|
| 1853 | ! Argument |
---|
| 1854 | REAL(dp) , DIMENSION(:,:), INTENT(INOUT) :: dd_value |
---|
| 1855 | INTEGER(i4) , DIMENSION(:,:), INTENT(INOUT) :: id_detect |
---|
| 1856 | REAL(dp) , DIMENSION(:) , INTENT(IN ) :: dd_coef |
---|
| 1857 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 1858 | LOGICAL , DIMENSION(:), INTENT(IN ) :: ld_even |
---|
| 1859 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 1860 | INTEGER(I4) , INTENT(IN ) :: id_rhoj |
---|
| 1861 | |
---|
| 1862 | ! local variable |
---|
| 1863 | INTEGER(i4), DIMENSION(2) :: il_shape |
---|
| 1864 | |
---|
| 1865 | REAL(dp) , DIMENSION(4) :: dl_vect |
---|
| 1866 | REAL(dp) :: dl_dx |
---|
| 1867 | REAL(dp) :: dl_dy |
---|
| 1868 | REAL(dp) :: dl_x |
---|
| 1869 | REAL(dp) :: dl_y |
---|
| 1870 | |
---|
| 1871 | ! loop indices |
---|
| 1872 | INTEGER(i4) :: ji |
---|
| 1873 | INTEGER(i4) :: jj |
---|
| 1874 | !---------------------------------------------------------------- |
---|
| 1875 | |
---|
| 1876 | IF( SIZE(dd_coef(:)) /= 4 )THEN |
---|
| 1877 | CALL logger_error("INTERP LINEAR FILL: invalid dimension of "//& |
---|
| 1878 | & "coef table. shape should be (/4/)") |
---|
| 1879 | ELSEIF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 1880 | CALL logger_error("INTERP LINEAR FILL: fill value detected in coef. "//& |
---|
| 1881 | & "can not compute interpolation.") |
---|
| 1882 | ELSE |
---|
| 1883 | |
---|
| 1884 | il_shape(:)=SHAPE(dd_value(:,:)) |
---|
| 1885 | |
---|
| 1886 | dl_dx=1./REAL(id_rhoi) |
---|
| 1887 | dl_dy=1./REAL(id_rhoj) |
---|
| 1888 | |
---|
| 1889 | DO jj=1,il_shape(2) |
---|
| 1890 | |
---|
| 1891 | IF( ld_even(2) )THEN |
---|
| 1892 | dl_y=(jj-1)*dl_dy - dl_dy*0.5 |
---|
| 1893 | ELSE ! odd refinement |
---|
| 1894 | dl_y=(jj-1)*dl_dy |
---|
| 1895 | ENDIF |
---|
| 1896 | |
---|
| 1897 | DO ji=1,il_shape(1) |
---|
| 1898 | |
---|
| 1899 | IF(id_detect(ji,jj)==1)THEN |
---|
| 1900 | |
---|
| 1901 | IF( ld_even(1) )THEN |
---|
| 1902 | dl_x=(ji-1)*dl_dx - dl_dx*0.5 |
---|
| 1903 | ELSE ! odd refinement |
---|
| 1904 | dl_x=(ji-1)*dl_dx |
---|
| 1905 | ENDIF |
---|
| 1906 | |
---|
| 1907 | dl_vect(:)=(/1._dp, dl_x, dl_y, dl_x*dl_y /) |
---|
| 1908 | |
---|
| 1909 | dd_value(ji,jj)=DOT_PRODUCT(dd_coef(:),dl_vect(:)) |
---|
| 1910 | id_detect(ji,jj)=0 |
---|
| 1911 | |
---|
| 1912 | ENDIF |
---|
| 1913 | |
---|
| 1914 | ENDDO |
---|
| 1915 | ENDDO |
---|
| 1916 | |
---|
| 1917 | ENDIF |
---|
| 1918 | |
---|
| 1919 | END SUBROUTINE interp__2D_linear_fill |
---|
| 1920 | !> @endcode |
---|
| 1921 | !------------------------------------------------------------------- |
---|
| 1922 | !> @brief |
---|
| 1923 | !> This subroutine |
---|
| 1924 | !> |
---|
| 1925 | !> @details |
---|
| 1926 | !> |
---|
| 1927 | !> @author J.Paul |
---|
| 1928 | !> - Nov, 2013- Initial Version |
---|
| 1929 | ! |
---|
| 1930 | !> @param[in] |
---|
| 1931 | !> @param[out] |
---|
| 1932 | !------------------------------------------------------------------- |
---|
| 1933 | !> @code |
---|
| 1934 | SUBROUTINE interp__2D_nearest_fill( dd_value, id_detect ) |
---|
| 1935 | IMPLICIT NONE |
---|
| 1936 | ! Argument |
---|
| 1937 | REAL(dp) , DIMENSION(:,:) , INTENT(INOUT) :: dd_value |
---|
| 1938 | INTEGER(i4), DIMENSION(:,:) , INTENT(INOUT) :: id_detect |
---|
| 1939 | |
---|
| 1940 | ! local variable |
---|
| 1941 | INTEGER(i4), DIMENSION(2) :: il_shape |
---|
| 1942 | |
---|
| 1943 | INTEGER(i4) :: il_i1 |
---|
| 1944 | INTEGER(i4) :: il_i2 |
---|
| 1945 | INTEGER(i4) :: il_j1 |
---|
| 1946 | INTEGER(i4) :: il_j2 |
---|
| 1947 | |
---|
| 1948 | INTEGER(i4) :: il_half1 |
---|
| 1949 | INTEGER(i4) :: il_half2 |
---|
| 1950 | |
---|
| 1951 | ! loop indices |
---|
| 1952 | INTEGER(i4) :: ji |
---|
| 1953 | INTEGER(i4) :: jj |
---|
| 1954 | !---------------------------------------------------------------- |
---|
| 1955 | |
---|
| 1956 | il_shape(:)=SHAPE(dd_value(:,:)) |
---|
| 1957 | |
---|
| 1958 | il_i1=1 |
---|
| 1959 | il_i2=il_shape(1) |
---|
| 1960 | |
---|
| 1961 | il_j1=1 |
---|
| 1962 | il_j2=il_shape(2) |
---|
| 1963 | |
---|
| 1964 | il_half1=CEILING(il_shape(1)*0.5) |
---|
| 1965 | il_half2=CEILING(il_shape(2)*0.5) |
---|
| 1966 | |
---|
| 1967 | DO jj=1,il_half2 |
---|
| 1968 | |
---|
| 1969 | DO ji=1,il_half1 |
---|
| 1970 | |
---|
| 1971 | ! lower left point |
---|
| 1972 | IF(id_detect(ji,jj)==1)THEN |
---|
| 1973 | |
---|
| 1974 | dd_value( ji,jj)=dd_value(il_i1,il_j1) |
---|
| 1975 | id_detect(ji,jj)=0 |
---|
| 1976 | |
---|
| 1977 | ENDIF |
---|
| 1978 | |
---|
| 1979 | ! lower right point |
---|
| 1980 | IF(id_detect(il_shape(1)-ji+1,jj)==1)THEN |
---|
| 1981 | |
---|
| 1982 | dd_value( il_shape(1)-ji+1,jj)=dd_value(il_i2,il_j1) |
---|
| 1983 | id_detect(il_shape(1)-ji+1,jj)=0 |
---|
| 1984 | |
---|
| 1985 | ENDIF |
---|
| 1986 | |
---|
| 1987 | ! upper left point |
---|
| 1988 | IF(id_detect(ji,il_shape(2)-jj+1)==1)THEN |
---|
| 1989 | |
---|
| 1990 | dd_value( ji,il_shape(2)-jj+1)=dd_value(il_i1,il_j2) |
---|
| 1991 | id_detect(ji,il_shape(2)-jj+1)=0 |
---|
| 1992 | |
---|
| 1993 | ENDIF |
---|
| 1994 | |
---|
| 1995 | ! upper right point |
---|
| 1996 | IF(id_detect(il_shape(1)-ji+1,il_shape(2)-jj+1)==1)THEN |
---|
| 1997 | |
---|
| 1998 | dd_value( il_shape(1)-ji+1,il_shape(2)-jj+1)=dd_value(il_i2,il_j2) |
---|
| 1999 | id_detect(il_shape(1)-ji+1,il_shape(2)-jj+1)=0 |
---|
| 2000 | |
---|
| 2001 | ENDIF |
---|
| 2002 | |
---|
| 2003 | ENDDO |
---|
| 2004 | |
---|
| 2005 | ENDDO |
---|
| 2006 | |
---|
| 2007 | END SUBROUTINE interp__2D_nearest_fill |
---|
| 2008 | !> @endcode |
---|
| 2009 | !------------------------------------------------------------------- |
---|
| 2010 | !> @brief |
---|
| 2011 | !> This subroutine |
---|
| 2012 | !> |
---|
| 2013 | !> @details |
---|
| 2014 | !> |
---|
| 2015 | !> @author J.Paul |
---|
| 2016 | !> - Nov, 2013- Initial Version |
---|
| 2017 | ! |
---|
| 2018 | !> @param[in] |
---|
| 2019 | !> @param[out] |
---|
| 2020 | !------------------------------------------------------------------- |
---|
| 2021 | !> @code |
---|
| 2022 | FUNCTION interp__1D_cubic_coef( dd_value, & |
---|
| 2023 | & dd_dfdx, & |
---|
| 2024 | & dd_fill ) |
---|
| 2025 | IMPLICIT NONE |
---|
| 2026 | ! Argument |
---|
| 2027 | REAL(dp), DIMENSION(:) , INTENT(IN) :: dd_value |
---|
| 2028 | REAL(dp), DIMENSION(:) , INTENT(IN) :: dd_dfdx |
---|
| 2029 | REAL(dp) , INTENT(IN) :: dd_fill |
---|
| 2030 | |
---|
| 2031 | ! function |
---|
| 2032 | REAL(dp), DIMENSION(4) :: interp__1D_cubic_coef |
---|
| 2033 | |
---|
| 2034 | ! local variable |
---|
| 2035 | |
---|
| 2036 | REAL(dp), DIMENSION(4,4), PARAMETER :: dp_matrix = RESHAPE( & |
---|
| 2037 | & (/ 1 , 0 , 0 , 0 ,& |
---|
| 2038 | -1 , 1 , 0 , 0 ,& |
---|
| 2039 | -3 , 3 ,-2 ,-1 ,& |
---|
| 2040 | 2 ,-2 , 1 , 1 /), & |
---|
| 2041 | & (/ 4, 4 /) ) |
---|
| 2042 | |
---|
| 2043 | REAL(dp), DIMENSION(4) :: dl_vect |
---|
| 2044 | |
---|
| 2045 | !---------------------------------------------------------------- |
---|
| 2046 | IF( SIZE(dd_value(:))/= 2 .OR. & |
---|
| 2047 | & SIZE(dd_dfdx(:) )/= 2 )THEN |
---|
| 2048 | |
---|
| 2049 | CALL logger_error("INTERP CUBIC COEF: invalid dimension of "//& |
---|
| 2050 | & "input tables. shape should be (/2,2/)") |
---|
| 2051 | |
---|
| 2052 | ELSEIF( ANY(dd_value(:)==dd_fill) .OR. & |
---|
| 2053 | & ANY( dd_dfdx(:)==dd_fill) )THEN |
---|
| 2054 | CALL logger_error("INTERP CUBIC COEF: fill value detected. "//& |
---|
| 2055 | & "can not compute coefficient.") |
---|
| 2056 | ELSE |
---|
| 2057 | |
---|
| 2058 | dl_vect( 1: 2)=PACK(dd_value(:),.TRUE. ) |
---|
| 2059 | dl_vect( 3: 4)=PACK(dd_dfdx(:),.TRUE. ) |
---|
| 2060 | |
---|
| 2061 | interp__1D_cubic_coef(:)=MATMUL(TRANSPOSE(dp_matrix(:,:)),dl_vect(:)) |
---|
| 2062 | |
---|
| 2063 | ENDIF |
---|
| 2064 | |
---|
| 2065 | END FUNCTION interp__1D_cubic_coef |
---|
| 2066 | !> @endcode |
---|
| 2067 | !------------------------------------------------------------------- |
---|
| 2068 | !> @brief |
---|
| 2069 | !> This subroutine |
---|
| 2070 | !> |
---|
| 2071 | !> @details |
---|
| 2072 | !> |
---|
| 2073 | !> @author J.Paul |
---|
| 2074 | !> - Nov, 2013- Initial Version |
---|
| 2075 | ! |
---|
| 2076 | !> @param[in] |
---|
| 2077 | !> @param[out] |
---|
| 2078 | !------------------------------------------------------------------- |
---|
| 2079 | !> @code |
---|
| 2080 | SUBROUTINE interp__1D_cubic_fill( dd_value, id_detect, dd_coef, dd_fill, & |
---|
| 2081 | & ld_even, id_rhoi ) |
---|
| 2082 | IMPLICIT NONE |
---|
| 2083 | ! Argument |
---|
| 2084 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 2085 | INTEGER(i4) , DIMENSION(:), INTENT(INOUT) :: id_detect |
---|
| 2086 | REAL(dp) , DIMENSION(:), INTENT(IN ) :: dd_coef |
---|
| 2087 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 2088 | LOGICAL , INTENT(IN ) :: ld_even |
---|
| 2089 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 2090 | |
---|
| 2091 | ! local variable |
---|
| 2092 | INTEGER(i4), DIMENSION(1) :: il_shape |
---|
| 2093 | |
---|
| 2094 | REAL(dp) , DIMENSION(4) :: dl_vect |
---|
| 2095 | REAL(dp) :: dl_dx |
---|
| 2096 | REAL(dp) :: dl_x |
---|
| 2097 | REAL(dp) :: dl_x2 |
---|
| 2098 | REAL(dp) :: dl_x3 |
---|
| 2099 | |
---|
| 2100 | ! loop indices |
---|
| 2101 | INTEGER(i4) :: ji |
---|
| 2102 | !---------------------------------------------------------------- |
---|
| 2103 | |
---|
| 2104 | IF( SIZE(dd_coef(:)) /= 4 )THEN |
---|
| 2105 | CALL logger_error("INTERP CUBIC FILL: invalid dimension of "//& |
---|
| 2106 | & "coef table. shape should be (/4/)") |
---|
| 2107 | !ELSEIF( ANY(dd_value(:)==dd_fill .AND. id_detect(:)==0 ) .OR. & |
---|
| 2108 | ELSEIF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 2109 | CALL logger_error("INTERP CUBIC FILL: fill value detected. "//& |
---|
| 2110 | & "can not compute interpolation") |
---|
| 2111 | ELSE |
---|
| 2112 | |
---|
| 2113 | il_shape(:)=SHAPE(dd_value(:)) |
---|
| 2114 | |
---|
| 2115 | dl_dx=1./REAL(id_rhoi) |
---|
| 2116 | |
---|
| 2117 | DO ji=1,il_shape(1) |
---|
| 2118 | |
---|
| 2119 | IF(id_detect(ji)==1)THEN |
---|
| 2120 | |
---|
| 2121 | IF( ld_even )THEN |
---|
| 2122 | dl_x=(ji-1)*dl_dx - dl_dx*0.5 |
---|
| 2123 | ELSE ! odd refinement |
---|
| 2124 | dl_x=(ji-1)*dl_dx |
---|
| 2125 | ENDIF |
---|
| 2126 | dl_x2=dl_x*dl_x |
---|
| 2127 | dl_x3=dl_x2*dl_x |
---|
| 2128 | |
---|
| 2129 | dl_vect(:)=(/1._dp, dl_x, dl_x2, dl_x3 /) |
---|
| 2130 | |
---|
| 2131 | dd_value(ji)=DOT_PRODUCT(dd_coef(:),dl_vect(:)) |
---|
| 2132 | id_detect(ji)=0 |
---|
| 2133 | |
---|
| 2134 | ENDIF |
---|
| 2135 | |
---|
| 2136 | ENDDO |
---|
| 2137 | |
---|
| 2138 | ENDIF |
---|
| 2139 | |
---|
| 2140 | END SUBROUTINE interp__1D_cubic_fill |
---|
| 2141 | !> @endcode |
---|
| 2142 | !------------------------------------------------------------------- |
---|
| 2143 | !> @brief |
---|
| 2144 | !> This subroutine |
---|
| 2145 | !> |
---|
| 2146 | !> @details |
---|
| 2147 | !> |
---|
| 2148 | !> @author J.Paul |
---|
| 2149 | !> - Nov, 2013- Initial Version |
---|
| 2150 | ! |
---|
| 2151 | !> @param[in] |
---|
| 2152 | !> @param[out] |
---|
| 2153 | !------------------------------------------------------------------- |
---|
| 2154 | !> @code |
---|
| 2155 | FUNCTION interp__1D_linear_coef( dd_value, dd_fill ) |
---|
| 2156 | IMPLICIT NONE |
---|
| 2157 | ! Argument |
---|
| 2158 | REAL(dp), DIMENSION(:) , INTENT(IN) :: dd_value |
---|
| 2159 | REAL(dp) , INTENT(IN) :: dd_fill |
---|
| 2160 | |
---|
| 2161 | ! function |
---|
| 2162 | REAL(dp), DIMENSION(2) :: interp__1D_linear_coef |
---|
| 2163 | |
---|
| 2164 | ! local variable |
---|
| 2165 | |
---|
| 2166 | REAL(dp), DIMENSION(2,2), PARAMETER :: dp_matrix = RESHAPE( & |
---|
| 2167 | & (/ 1 , 0 ,& |
---|
| 2168 | -1 , 1 /), & |
---|
| 2169 | & (/ 2, 2 /) ) |
---|
| 2170 | |
---|
| 2171 | REAL(dp), DIMENSION(2) :: dl_vect |
---|
| 2172 | |
---|
| 2173 | !---------------------------------------------------------------- |
---|
| 2174 | |
---|
| 2175 | IF( ANY(SHAPE(dd_value(:))/= 2) )THEN |
---|
| 2176 | CALL logger_error("INTERP LINEAR COEF: invalid dimension of "//& |
---|
| 2177 | & "input tables. shape should be (/2/)") |
---|
| 2178 | ELSEIF( ANY(dd_value(:)==dd_fill) )THEN |
---|
| 2179 | CALL logger_error("INTERP LINEAR COEF: fill value detected. "//& |
---|
| 2180 | & "can not compute coefficient.") |
---|
| 2181 | ELSE |
---|
| 2182 | |
---|
| 2183 | dl_vect( 1: 2)=PACK(dd_value(:),.TRUE. ) |
---|
| 2184 | |
---|
| 2185 | interp__1D_linear_coef(:)=MATMUL(TRANSPOSE(dp_matrix(:,:)),dl_vect(:)) |
---|
| 2186 | |
---|
| 2187 | ENDIF |
---|
| 2188 | |
---|
| 2189 | END FUNCTION interp__1D_linear_coef |
---|
| 2190 | !> @endcode |
---|
| 2191 | !------------------------------------------------------------------- |
---|
| 2192 | !> @brief |
---|
| 2193 | !> This subroutine |
---|
| 2194 | !> |
---|
| 2195 | !> @details |
---|
| 2196 | !> |
---|
| 2197 | !> @author J.Paul |
---|
| 2198 | !> - Nov, 2013- Initial Version |
---|
| 2199 | ! |
---|
| 2200 | !> @param[in] |
---|
| 2201 | !> @param[out] |
---|
| 2202 | !------------------------------------------------------------------- |
---|
| 2203 | !> @code |
---|
| 2204 | SUBROUTINE interp__1D_linear_fill( dd_value, id_detect, dd_coef, dd_fill, & |
---|
| 2205 | & ld_even, id_rhoi ) |
---|
| 2206 | IMPLICIT NONE |
---|
| 2207 | ! Argument |
---|
| 2208 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 2209 | INTEGER(i4) , DIMENSION(:), INTENT(INOUT) :: id_detect |
---|
| 2210 | REAL(dp) , DIMENSION(:), INTENT(IN ) :: dd_coef |
---|
| 2211 | REAL(dp) , INTENT(IN ) :: dd_fill |
---|
| 2212 | LOGICAL , INTENT(IN ) :: ld_even |
---|
| 2213 | INTEGER(I4) , INTENT(IN ) :: id_rhoi |
---|
| 2214 | |
---|
| 2215 | ! local variable |
---|
| 2216 | INTEGER(i4), DIMENSION(1) :: il_shape |
---|
| 2217 | |
---|
| 2218 | REAL(dp) , DIMENSION(2) :: dl_vect |
---|
| 2219 | REAL(dp) :: dl_dx |
---|
| 2220 | REAL(dp) :: dl_x |
---|
| 2221 | |
---|
| 2222 | ! loop indices |
---|
| 2223 | INTEGER(i4) :: ji |
---|
| 2224 | !---------------------------------------------------------------- |
---|
| 2225 | |
---|
| 2226 | IF( SIZE(dd_coef(:)) /= 2 )THEN |
---|
| 2227 | CALL logger_error("INTERP LINEAR FILL: invalid dimension of "//& |
---|
| 2228 | & "coef table. shape should be (/2/)") |
---|
| 2229 | !ELSEIF( ANY(dd_value(:)==dd_fill .AND. id_detect(:)==0 ) .OR. & |
---|
| 2230 | ELSEIF( ANY( dd_coef(:)==dd_fill ) )THEN |
---|
| 2231 | CALL logger_error("INTERP LINEAR FILL: fill value detected. "//& |
---|
| 2232 | & "can not compute interpolation") |
---|
| 2233 | ELSE |
---|
| 2234 | |
---|
| 2235 | il_shape(:)=SHAPE(dd_value) |
---|
| 2236 | |
---|
| 2237 | dl_dx=1./REAL(id_rhoi) |
---|
| 2238 | |
---|
| 2239 | DO ji=1,il_shape(1) |
---|
| 2240 | |
---|
| 2241 | IF(id_detect(ji)==1)THEN |
---|
| 2242 | |
---|
| 2243 | IF( ld_even )THEN |
---|
| 2244 | dl_x=(ji-1)*dl_dx - dl_dx*0.5 |
---|
| 2245 | ELSE ! odd refinement |
---|
| 2246 | dl_x=(ji-1)*dl_dx |
---|
| 2247 | ENDIF |
---|
| 2248 | |
---|
| 2249 | dl_vect(:)=(/1._dp, dl_x /) |
---|
| 2250 | |
---|
| 2251 | dd_value(ji)=DOT_PRODUCT(dd_coef(:),dl_vect(:)) |
---|
| 2252 | id_detect(ji)=0 |
---|
| 2253 | |
---|
| 2254 | ENDIF |
---|
| 2255 | |
---|
| 2256 | ENDDO |
---|
| 2257 | |
---|
| 2258 | ENDIF |
---|
| 2259 | |
---|
| 2260 | END SUBROUTINE interp__1D_linear_fill |
---|
| 2261 | !> @endcode |
---|
| 2262 | !------------------------------------------------------------------- |
---|
| 2263 | !> @brief |
---|
| 2264 | !> This subroutine |
---|
| 2265 | !> |
---|
| 2266 | !> @details |
---|
| 2267 | !> |
---|
| 2268 | !> @author J.Paul |
---|
| 2269 | !> - Nov, 2013- Initial Version |
---|
| 2270 | ! |
---|
| 2271 | !> @param[in] |
---|
| 2272 | !> @param[out] |
---|
| 2273 | !------------------------------------------------------------------- |
---|
| 2274 | !> @code |
---|
| 2275 | SUBROUTINE interp__1D_nearest_fill( dd_value, id_detect ) |
---|
| 2276 | IMPLICIT NONE |
---|
| 2277 | ! Argument |
---|
| 2278 | REAL(dp) , DIMENSION(:), INTENT(INOUT) :: dd_value |
---|
| 2279 | INTEGER(i4), DIMENSION(:), INTENT(INOUT) :: id_detect |
---|
| 2280 | |
---|
| 2281 | ! local variable |
---|
| 2282 | INTEGER(i4), DIMENSION(1) :: il_shape |
---|
| 2283 | |
---|
| 2284 | INTEGER(i4) :: il_i1 |
---|
| 2285 | INTEGER(i4) :: il_i2 |
---|
| 2286 | |
---|
| 2287 | INTEGER(i4) :: il_half1 |
---|
| 2288 | |
---|
| 2289 | ! loop indices |
---|
| 2290 | INTEGER(i4) :: ji |
---|
| 2291 | !---------------------------------------------------------------- |
---|
| 2292 | |
---|
| 2293 | il_shape(:)=SHAPE(dd_value) |
---|
| 2294 | |
---|
| 2295 | il_i1=1 |
---|
| 2296 | il_i2=il_shape(1) |
---|
| 2297 | |
---|
| 2298 | il_half1=CEILING(il_shape(1)*0.5) |
---|
| 2299 | |
---|
| 2300 | DO ji=1,il_half1 |
---|
| 2301 | |
---|
| 2302 | ! lower left point |
---|
| 2303 | IF(id_detect(ji)==1)THEN |
---|
| 2304 | |
---|
| 2305 | dd_value( ji)=dd_value(il_i1) |
---|
| 2306 | id_detect(ji)=0 |
---|
| 2307 | |
---|
| 2308 | ENDIF |
---|
| 2309 | |
---|
| 2310 | ! lower right point |
---|
| 2311 | IF(id_detect(il_shape(1)-ji+1)==1)THEN |
---|
| 2312 | |
---|
| 2313 | dd_value( il_shape(1)-ji+1)=dd_value(il_i2) |
---|
| 2314 | id_detect(il_shape(1)-ji+1)=0 |
---|
| 2315 | |
---|
| 2316 | ENDIF |
---|
| 2317 | |
---|
| 2318 | ENDDO |
---|
| 2319 | |
---|
| 2320 | END SUBROUTINE interp__1D_nearest_fill |
---|
| 2321 | !> @endcode |
---|
| 2322 | END MODULE interp |
---|