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 |
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423 | !> @param[in] id_rho : table of refinment factor |
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424 | !> |
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425 | !> @todo |
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426 | !------------------------------------------------------------------- |
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427 | !> @code |
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428 | SUBROUTINE interp__clean_even_grid( td_mix, id_rho ) |
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429 | IMPLICIT NONE |
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430 | ! Argument |
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431 | TYPE(TVAR) , INTENT(INOUT) :: td_mix |
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432 | INTEGER(I4), DIMENSION(:), INTENT(IN ), OPTIONAL :: id_rho |
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433 | |
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434 | ! local variable |
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435 | INTEGER(I4), DIMENSION(:), ALLOCATABLE :: il_rho |
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436 | |
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437 | INTEGER(i4) :: il_xextra |
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438 | INTEGER(i4) :: il_yextra |
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439 | INTEGER(i4) :: il_zextra |
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440 | |
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441 | LOGICAL, DIMENSION(3) :: ll_even |
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442 | |
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443 | LOGICAL, DIMENSION(:,:,:,:), ALLOCATABLE :: ll_mask |
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444 | |
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445 | REAL(dp), DIMENSION(:) , ALLOCATABLE :: dl_vect |
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446 | |
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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 |
---|