1 | MODULE remap_bicubic_reduced |
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2 | |
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3 | !----------------------------------------------------------------------- |
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4 | ! BOP |
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5 | ! |
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6 | ! !MODULE: remap_bicubic_reduced |
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7 | ! |
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8 | ! !USES: |
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9 | USE kinds_mod ! defines common data types |
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10 | USE constants ! defines common constants |
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11 | USE grids ! module containing grid info |
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12 | USE remap_vars ! module containing remap info |
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13 | USE mod_oasis_flush |
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14 | |
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15 | ! !PUBLIC TYPES: |
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16 | IMPLICIT NONE |
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17 | ! !PUBLIC MEMBER FUNCTIONS: |
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18 | ! |
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19 | ! !PUBLIC DATA MEMBERS: |
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20 | |
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21 | ! !DESCRIPTION: |
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22 | ! This routine computes the weights for a bicubic interpolation |
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23 | ! with a reduced grid. Computes mappings from grid1 to grid2. |
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24 | ! |
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25 | ! !REVISION HISTORY: |
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26 | ! 2002.10.21 J.Ghattas created |
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27 | ! |
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28 | ! EOP |
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29 | !----------------------------------------------------------------------- |
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30 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
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31 | ! $Author: valcke $ |
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32 | !----------------------------------------------------------------------- |
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33 | |
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34 | |
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35 | |
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36 | CONTAINS |
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37 | |
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38 | !*********************************************************************** |
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39 | |
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40 | |
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41 | !----------------------------------------------------------------------- |
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42 | ! BOP |
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43 | ! |
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44 | ! !IROUTINE: remap_bicub_reduced |
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45 | ! |
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46 | ! !INTERFACE: |
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47 | |
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48 | SUBROUTINE remap_bicub_reduced(ld_extrapdone) |
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49 | |
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50 | ! !USES: |
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51 | |
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52 | ! !RETURN VALUE: |
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53 | |
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54 | ! !PARAMETERS: |
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55 | |
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56 | LOGICAL, INTENT(in) :: & |
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57 | ld_extrapdone ! logical, true if EXTRAP done on field |
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58 | LOGICAL :: ll_nnei ! true (default) if extra search is done |
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59 | |
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60 | INTEGER (KIND=int_kind), DIMENSION(4,4) :: & |
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61 | ila_src_add ! address for source points non-masked |
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62 | |
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63 | INTEGER (KIND=int_kind), DIMENSION(4) :: & |
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64 | ila_nbr_found ! nrb of points found on each latitude |
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65 | |
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66 | INTEGER (KIND=int_kind) :: & |
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67 | ib_i, & ! iter index |
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68 | ib_dst_add, & ! destination address, target point |
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69 | il_count, & ! nbr of latitudes with found points |
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70 | il_min, il_max, bin ! begin and end for distances calculation |
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71 | |
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72 | REAL (KIND=dbl_kind), DIMENSION(4,4) :: & |
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73 | rla_src_lons, & ! longitudes for the points 'ila_src_add' |
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74 | rla_weight, & ! bicubic weights for the points 'ila_src_add' |
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75 | rla_wght_lon ! temp. weights |
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76 | |
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77 | REAL (KIND=dbl_kind), DIMENSION(4) :: & |
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78 | rla_src_lats, & ! latitudes for the points 'ila_src_add' |
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79 | rla_lats_temp, & ! temp. latitudes |
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80 | rla_wght_lat, rla_wght_temp! temp. weights |
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81 | |
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82 | REAL (KIND=dbl_kind) :: & |
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83 | rl_plat, rl_plon ! latitude and longitude for destination address |
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84 | |
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85 | REAL (KIND=dbl_kind) :: & ! variables for distances calculation |
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86 | rl_coslat_dst, rl_sinlat_dst, & |
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87 | rl_coslon_dst, rl_sinlon_dst, & |
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88 | rl_distance, arg |
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89 | |
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90 | REAL (KIND=dbl_kind), DIMENSION(2) :: & |
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91 | rla_dist ! lat distances to point cible |
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92 | |
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93 | INTEGER (KIND=int_kind), DIMENSION(4) :: & |
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94 | ila_add_dist ! temporary addr. for distances |
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95 | |
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96 | LOGICAL :: ll_linear ! flag |
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97 | |
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98 | |
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99 | ! !DESCRIPTION: |
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100 | ! This routine computes the weights for a bicubic interpolation |
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101 | ! with a reduced grid. Computes mappings from grid1 to grid2. |
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102 | ! |
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103 | ! !REVISION HISTORY: |
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104 | ! 2002.10.21 J.Ghattas created |
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105 | ! |
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106 | ! EOP |
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107 | !----------------------------------------------------------------------- |
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108 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
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109 | ! $Author: valcke $ |
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110 | !----------------------------------------------------------------------- |
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111 | ! |
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112 | IF (nlogprt .GE. 2) THEN |
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113 | WRITE (UNIT = nulou,FMT = *)' ' |
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114 | WRITE (UNIT = nulou,FMT = *) 'Entering routine remap_bicub_reduced' |
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115 | CALL OASIS_FLUSH_SCRIP(nulou) |
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116 | ENDIF |
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117 | ! |
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118 | ll_nnei = .true. |
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119 | ! |
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120 | ! Loop over destination grid |
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121 | ! |
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122 | |
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123 | DO ib_dst_add = 1, grid2_size ! for each target point |
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124 | ll_linear=.false. |
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125 | IF (.NOT. grid2_mask(ib_dst_add)) THEN |
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126 | CYCLE ! target point is masked |
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127 | END IF |
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128 | |
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129 | rl_plat = grid2_center_lat(ib_dst_add) |
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130 | rl_plon = grid2_center_lon(ib_dst_add) |
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131 | |
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132 | |
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133 | ! |
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134 | ! Search for non-masked points among the closest 16 points |
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135 | ! on source grid (grid1) |
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136 | ! |
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137 | |
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138 | CALL grid_search_16_points(ila_src_add, rla_src_lats, rla_src_lons,& |
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139 | ila_nbr_found, bin, rl_plat, & |
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140 | rl_plon, ld_extrapdone) |
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141 | |
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142 | |
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143 | ! |
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144 | ! If there is no point found, search the neaerst |
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145 | ! non-masked point |
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146 | ! |
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147 | |
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148 | IF (SUM(ila_nbr_found)==0) THEN |
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149 | IF (ll_nnei .EQV. .TRUE. ) THEN |
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150 | IF (nlogprt .GE. 2) THEN |
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151 | WRITE(nulou,*) ' ' |
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152 | WRITE(nulou,*) & |
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153 | 'All 16 surrounding source grid points are masked' |
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154 | WRITE(nulou,*) 'for target point ',ib_dst_add |
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155 | WRITE(nulou,*) 'with longitude and latitude', rl_plon, rl_plat |
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156 | WRITE(nulou,*) 'Using the nearest non-masked neighbour.' |
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157 | WRITE(nulou,*) ' ' |
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158 | CALL OASIS_FLUSH_SCRIP(nulou) |
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159 | ENDIF |
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160 | |
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161 | ! Search the nearest point in bin [il_min:il_max] |
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162 | IF (bin==0 .or. bin==1) THEN |
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163 | il_min=1 |
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164 | il_max=bin_addr1_r(2,3) |
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165 | ELSE IF (bin==num_srch_red .or. bin==num_srch_red-1) THEN |
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166 | il_min=bin_addr1_r(1,num_srch_red-2) |
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167 | il_max=bin_addr1_r(2,num_srch_red) |
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168 | ELSE |
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169 | il_min=bin_addr1_r(1,bin-1)+1 |
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170 | il_max=bin_addr1_r(2,bin+2) |
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171 | END IF |
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172 | |
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173 | rl_coslat_dst = COS(rl_plat) |
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174 | rl_sinlat_dst = SIN(rl_plat) |
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175 | rl_coslon_dst = COS(rl_plon) |
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176 | rl_sinlon_dst = SIN(rl_plon) |
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177 | |
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178 | rla_weight(1,1) = bignum |
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179 | ila_src_add(1,1) = 0 |
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180 | !cdir novector |
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181 | DO ib_i=il_min, il_max |
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182 | IF (grid1_mask(ib_i) .or. ld_extrapdone) THEN |
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183 | arg = rl_coslat_dst*COS(grid1_center_lat(ib_i))* & |
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184 | (rl_coslon_dst*COS(grid1_center_lon(ib_i)) + & |
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185 | rl_sinlon_dst*SIN(grid1_center_lon(ib_i)))+& |
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186 | rl_sinlat_dst*SIN(grid1_center_lat(ib_i)) |
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187 | IF (arg < -1.0d0) THEN |
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188 | arg = -1.0d0 |
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189 | ELSE IF (arg > 1.0d0) THEN |
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190 | arg = 1.0d0 |
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191 | END IF |
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192 | rl_distance = ACOS(arg) |
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193 | IF (rl_distance < rla_weight(1,1)) THEN |
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194 | rla_weight(1,1) = rl_distance |
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195 | ila_src_add(1,1) = ib_i |
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196 | END IF |
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197 | END IF |
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198 | END DO |
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199 | rla_weight(:,:) = 0 |
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200 | rla_weight(1,1) = 1 |
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201 | |
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202 | CALL store_link_bicub(ib_dst_add, ila_src_add, rla_weight) |
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203 | IF (nlogprt .GE. 2) THEN |
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204 | WRITE(nulou,*) & |
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205 | 'Nearest non masked neighbour is source point ', & |
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206 | ila_src_add(1,1) |
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207 | WRITE(nulou,*) 'with longitude and latitude', & |
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208 | grid1_center_lon(ila_src_add(1,1)), & |
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209 | grid1_center_lat(ila_src_add(1,1)) |
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210 | WRITE(nulou,*) ' ' |
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211 | ENDIF |
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212 | CYCLE |
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213 | ENDIF |
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214 | END IF |
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215 | |
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216 | rla_weight(:,:) = 0 |
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217 | ! if there is only one point found, save it |
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218 | IF (SUM(ila_nbr_found)==1) THEN |
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219 | DO ib_i=1,4 |
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220 | IF (ila_nbr_found(ib_i)==1) THEN |
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221 | rla_weight(ib_i,1)=1 |
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222 | EXIT |
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223 | END IF |
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224 | END DO |
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225 | CALL store_link_bicub(ib_dst_add, ila_src_add, rla_weight) |
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226 | CYCLE |
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227 | END IF |
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228 | |
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229 | ! if there are only 2 points found, distance weighted average |
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230 | IF (SUM(ila_nbr_found)==2) THEN |
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231 | rl_coslat_dst = COS(rl_plat) |
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232 | rl_sinlat_dst = SIN(rl_plat) |
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233 | rl_coslon_dst = COS(rl_plon) |
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234 | rl_sinlon_dst = SIN(rl_plon) |
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235 | |
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236 | rl_distance=0 ! count of total distance |
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237 | DO ib_i=1,4 |
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238 | IF (ila_nbr_found(ib_i) > 0) THEN |
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239 | arg = rl_coslat_dst*COS(rla_src_lats(ib_i))* & |
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240 | (rl_coslon_dst*COS(rla_src_lons(ib_i,1)) + & |
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241 | rl_sinlon_dst*SIN(rla_src_lons(ib_i,1)))+& |
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242 | rl_sinlat_dst*SIN(rla_src_lats(ib_i)) |
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243 | IF (arg < -1.0d0) THEN |
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244 | arg = -1.0d0 |
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245 | ELSE IF (arg > 1.0d0) THEN |
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246 | arg = 1.0d0 |
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247 | END IF |
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248 | rla_weight(ib_i,1) = ACOS(arg) |
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249 | rl_distance = rl_distance+rla_weight(ib_i,1) |
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250 | IF (ila_nbr_found(ib_i)==2) THEN |
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251 | arg = rl_coslat_dst*COS(rla_src_lats(ib_i))* & |
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252 | (rl_coslon_dst*COS(rla_src_lons(ib_i,2)) + & |
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253 | rl_sinlon_dst*SIN(rla_src_lons(ib_i,2)))+& |
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254 | rl_sinlat_dst*SIN(rla_src_lats(ib_i)) |
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255 | IF (arg < -1.0d0) THEN |
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256 | arg = -1.0d0 |
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257 | ELSE IF (arg > 1.0d0) THEN |
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258 | arg = 1.0d0 |
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259 | END IF |
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260 | rla_weight(ib_i,2) = ACOS(arg) |
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261 | rl_distance = rl_distance+rla_weight(ib_i,2) |
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262 | END IF |
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263 | END IF |
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264 | END DO |
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265 | rla_weight=rla_weight/rl_distance |
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266 | |
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267 | CALL store_link_bicub(ib_dst_add, ila_src_add, rla_weight) |
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268 | CYCLE |
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269 | END IF |
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270 | |
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271 | ! Some case exceptional when just one point per line found |
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272 | |
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273 | IF (ila_nbr_found(1)==1) THEN ! elimination of point |
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274 | ila_nbr_found(1)=0 |
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275 | ila_src_add(1,1)=0 |
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276 | END IF |
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277 | IF (ila_nbr_found(4)==1) THEN |
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278 | ila_nbr_found(4)=0 |
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279 | ila_src_add(4,1)=0 |
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280 | END IF |
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281 | |
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282 | |
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283 | |
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284 | IF (ila_nbr_found(2)==1 .or. ila_nbr_found(3)==1) THEN |
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285 | ila_add_dist(:)=4 |
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286 | rla_dist(:)=bignum |
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287 | |
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288 | ! search for the 2 nearest points or line of points |
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289 | DO ib_i=1,4 |
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290 | IF (ila_nbr_found(ib_i) > 1) THEN |
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291 | rl_distance=ABS(rla_src_lats(ib_i)-rl_plat) |
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292 | ELSE IF (ila_nbr_found(ib_i)==1) THEN |
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293 | rl_coslat_dst = COS(rl_plat) |
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294 | rl_sinlat_dst = SIN(rl_plat) |
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295 | rl_coslon_dst = COS(rl_plon) |
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296 | rl_sinlon_dst = SIN(rl_plon) |
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297 | arg = rl_coslat_dst*COS(rla_src_lats(ib_i))* & |
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298 | (rl_coslon_dst*COS(rla_src_lons(ib_i,1)) + & |
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299 | rl_sinlon_dst*SIN(rla_src_lons(ib_i,1)))+& |
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300 | rl_sinlat_dst*SIN(rla_src_lats(ib_i)) |
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301 | IF (arg < -1.0d0) THEN |
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302 | arg = -1.0d0 |
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303 | ELSE IF (arg > 1.0d0) THEN |
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304 | arg = 1.0d0 |
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305 | END IF |
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306 | rl_distance= ACOS(arg) |
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307 | ELSE |
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308 | rl_distance=bignum |
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309 | END IF |
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310 | |
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311 | IF (rl_distance < rla_dist(1)) THEN |
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312 | ila_add_dist(2)=ila_add_dist(1) |
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313 | ila_add_dist(1)=ib_i |
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314 | rla_dist(2)=rla_dist(1) |
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315 | rla_dist(1)=rl_distance |
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316 | ELSE IF (rl_distance < rla_dist(2)) THEN |
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317 | ila_add_dist(2)=ib_i |
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318 | rla_dist(2)=rl_distance |
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319 | END IF |
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320 | END DO |
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321 | |
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322 | IF (ila_nbr_found(ila_add_dist(1))>1 .and. & |
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323 | ila_nbr_found(ila_add_dist(2))>1) THEN |
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324 | ! linearie |
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325 | ll_linear=.true. |
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326 | ELSE |
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327 | ! do distance weighted averege |
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328 | rla_wght_lon(:,:)=0 |
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329 | DO ib_i=1,2 |
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330 | SELECT CASE (ila_nbr_found(ila_add_dist(ib_i))) |
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331 | CASE (4) |
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332 | CALL calcul_wght_irreg(rla_src_lons(ila_add_dist(ib_i),:),& |
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333 | rl_plon, rla_wght_lon(ila_add_dist(ib_i),:)) |
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334 | rla_wght_lon(ila_add_dist(ib_i),:)=& |
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335 | rla_wght_lon(ila_add_dist(ib_i),:)/& |
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336 | rla_dist(ib_i) |
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337 | CASE (3) |
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338 | CALL calcul_wght_3(rla_src_lons(ila_add_dist(ib_i),1:3),& |
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339 | rl_plon, rla_wght_lon(ila_add_dist(ib_i),1:3)) |
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340 | rla_wght_lon(ila_add_dist(ib_i),1:3)=& |
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341 | rla_wght_lon(ila_add_dist(ib_i),1:3)/& |
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342 | rla_dist(ib_i) |
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343 | CASE (2) |
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344 | CALL calcul_wght_2(rla_src_lons(ila_add_dist(ib_i),1:2),& |
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345 | rl_plon, rla_wght_lon(ila_add_dist(ib_i),1:2)) |
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346 | rla_wght_lon(ila_add_dist(ib_i),1:2)=& |
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347 | rla_wght_lon(ila_add_dist(ib_i),1:2)/& |
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348 | rla_dist(ib_i) |
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349 | CASE (1) |
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350 | rla_wght_lon(ila_add_dist(ib_i),1)=1/rla_dist(ib_i) |
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351 | END SELECT |
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352 | END DO |
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353 | rl_distance=0 |
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354 | DO ib_i=1,4 |
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355 | rl_distance=rl_distance + sum(rla_wght_lon(ib_i,:)) |
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356 | END DO |
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357 | rla_weight(:,:)=rla_wght_lon(:,:)/rl_distance |
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358 | |
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359 | CALL store_link_bicub(ib_dst_add, ila_src_add , rla_weight) |
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360 | CYCLE |
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361 | END IF |
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362 | END IF |
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363 | |
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364 | ! |
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365 | ! Calculation of weights for longitudes |
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366 | ! |
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367 | |
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368 | rla_wght_lon(:,:)=0 |
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369 | DO ib_i=1,4 |
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370 | SELECT CASE (ila_nbr_found(ib_i)) |
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371 | CASE (4) |
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372 | CALL calcul_wght_irreg(rla_src_lons(ib_i,:), rl_plon, & |
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373 | rla_wght_lon(ib_i,:)) |
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374 | CASE (3) |
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375 | CALL calcul_wght_3(rla_src_lons(ib_i,1:3), rl_plon, & |
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376 | rla_wght_lon(ib_i,1:3)) |
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377 | CASE (2) |
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378 | CALL calcul_wght_2(rla_src_lons(ib_i,1:2), rl_plon, & |
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379 | rla_wght_lon(ib_i,1:2)) |
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380 | END SELECT |
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381 | END DO |
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382 | |
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383 | |
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384 | IF (ll_linear) THEN |
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385 | rla_wght_lat(:)=0 |
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386 | CALL calcul_wght_2(rla_src_lats(ila_add_dist(:)), rl_plat, & |
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387 | rla_wght_temp(1:2)) |
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388 | rla_wght_lat(ila_add_dist(1))=rla_wght_temp(1) |
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389 | rla_wght_lat(ila_add_dist(2))=rla_wght_temp(2) |
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390 | DO ib_i=1,4 |
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391 | rla_weight(ib_i,:)=rla_wght_lat(ib_i)*rla_wght_lon(ib_i,:) |
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392 | END DO |
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393 | |
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394 | CALL store_link_bicub(ib_dst_add, ila_src_add , rla_weight) |
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395 | CYCLE |
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396 | END IF |
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397 | |
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398 | |
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399 | ! |
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400 | ! Calculation of weights for latitudes |
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401 | ! |
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402 | |
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403 | il_count=0 |
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404 | DO ib_i=1,4 |
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405 | IF (ila_nbr_found(ib_i)/=0) THEN |
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406 | il_count=il_count+1 |
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407 | rla_lats_temp(il_count)=rla_src_lats(ib_i) |
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408 | END IF |
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409 | END DO |
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410 | |
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411 | SELECT CASE (il_count) |
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412 | CASE (4) |
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413 | CALL calcul_wght_irreg(rla_lats_temp, rl_plat, rla_wght_temp(:)) |
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414 | CASE (3) |
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415 | CALL calcul_wght_3(rla_lats_temp(1:3), rl_plat, rla_wght_temp(1:3)) |
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416 | CASE (2) |
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417 | CALL calcul_wght_2(rla_lats_temp(1:2), rl_plat, rla_wght_temp(1:2)) |
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418 | CASE (1) |
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419 | rla_wght_temp(1)=1 |
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420 | END SELECT |
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421 | |
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422 | il_count=0 |
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423 | DO ib_i=1,4 |
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424 | IF (ila_nbr_found(ib_i)/=0) THEN |
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425 | il_count=il_count+1 |
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426 | rla_wght_lat(ib_i)=rla_wght_temp(il_count) |
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427 | ELSE |
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428 | rla_wght_lat(ib_i)=0 |
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429 | END IF |
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430 | END DO |
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431 | |
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432 | ! |
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433 | ! Calculation of total weight, elementwise multiplication |
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434 | ! |
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435 | |
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436 | DO ib_i=1,4 |
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437 | rla_weight(ib_i,:)=rla_wght_lat(ib_i)*rla_wght_lon(ib_i,:) |
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438 | END DO |
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439 | |
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440 | CALL store_link_bicub(ib_dst_add, ila_src_add , rla_weight) |
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441 | |
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442 | END DO |
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443 | ! |
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444 | IF (nlogprt .GE. 2) THEN |
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445 | WRITE (UNIT = nulou,FMT = *)' ' |
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446 | WRITE (UNIT = nulou,FMT = *) 'Leaving routine remap_bicub_reduced' |
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447 | CALL OASIS_FLUSH_SCRIP(nulou) |
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448 | ENDIF |
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449 | ! |
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450 | END SUBROUTINE remap_bicub_reduced |
---|
451 | |
---|
452 | |
---|
453 | !----------------------------------------------------------------------- |
---|
454 | ! BOP |
---|
455 | ! |
---|
456 | ! !IROUTINE: grid_search_16_points |
---|
457 | ! |
---|
458 | ! !INTERFACE: |
---|
459 | ! |
---|
460 | SUBROUTINE grid_search_16_points(ida_src_add, rda_src_lats, rda_src_lons,& |
---|
461 | ida_nbr_found, bin, rd_plat, & |
---|
462 | rd_plon, ld_extrapdone) |
---|
463 | ! |
---|
464 | ! !USES: |
---|
465 | ! |
---|
466 | ! !RETURN VALUE: |
---|
467 | ! |
---|
468 | INTEGER (KIND=int_kind), DIMENSION(4,4), INTENT(out) :: & |
---|
469 | ida_src_add ! searched addresses of the unmasked points enclosing |
---|
470 | ! target point |
---|
471 | |
---|
472 | REAL (KIND=dbl_kind), DIMENSION(4,4), INTENT(out) :: & |
---|
473 | rda_src_lons ! longitudes of the searched points |
---|
474 | |
---|
475 | REAL (KIND=dbl_kind), DIMENSION(4), INTENT(out) :: & |
---|
476 | rda_src_lats ! latitudes of the searched points |
---|
477 | |
---|
478 | INTEGER (KIND=int_kind), DIMENSION(4), INTENT(out) :: & |
---|
479 | ida_nbr_found ! indicates for each line how many points found |
---|
480 | |
---|
481 | INTEGER (KIND=int_kind), INTENT(out) :: & |
---|
482 | bin ! actual bin for target point |
---|
483 | ! |
---|
484 | ! !PARAMETERS: |
---|
485 | ! |
---|
486 | REAL (KIND=dbl_kind), INTENT(in) :: & |
---|
487 | rd_plat, & ! latitude of the target point |
---|
488 | rd_plon ! longitude of the target point |
---|
489 | |
---|
490 | LOGICAL, INTENT(in) :: ld_extrapdone ! true if extrapolation done |
---|
491 | |
---|
492 | INTEGER (KIND=int_kind) :: & |
---|
493 | ib_k, ib_j, ib_i, & ! iteration indices |
---|
494 | il_min, il_max, il_inter ! begin and end for actual bin |
---|
495 | |
---|
496 | INTEGER (KIND=int_kind), DIMENSION(4,2) :: & |
---|
497 | ila_corners ! temp addresses for bins |
---|
498 | |
---|
499 | ! |
---|
500 | ! !DESCRIPTION: |
---|
501 | ! This routine finds the location of the target point in the source |
---|
502 | ! grid and returns those of the 16 nearest points that are unmasked. |
---|
503 | ! The source grid is a reduced grid. |
---|
504 | ! |
---|
505 | ! !REVISION HISTORY: |
---|
506 | ! 2002.10.21 J.Ghattas created |
---|
507 | ! |
---|
508 | ! EOP |
---|
509 | !----------------------------------------------------------------------- |
---|
510 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
---|
511 | ! $Author: valcke $ |
---|
512 | !----------------------------------------------------------------------- |
---|
513 | |
---|
514 | |
---|
515 | ! |
---|
516 | ! serch of actual bin |
---|
517 | ! |
---|
518 | |
---|
519 | |
---|
520 | IF (rd_plat > bin_lats_r(1,1)) THEN ! norther of the first bin |
---|
521 | bin=0 |
---|
522 | ila_corners(1:2,1:2)= 0 |
---|
523 | ila_corners(3,1)= bin_addr1_r(1,1)+1 |
---|
524 | ila_corners(3,2)= bin_addr1_r(2,1) |
---|
525 | ila_corners(4,1)= bin_addr1_r(1,2) |
---|
526 | ila_corners(4,2)= bin_addr1_r(2,2) |
---|
527 | |
---|
528 | ELSE IF (rd_plat > bin_lats_r(1,2)) THEN ! in the first bin |
---|
529 | bin=1 |
---|
530 | ila_corners(1,1:2)= 0 |
---|
531 | ila_corners(2,1)= bin_addr1_r(1,1)+1 |
---|
532 | ila_corners(2,2)= bin_addr1_r(2,1) |
---|
533 | ila_corners(3,1)= bin_addr1_r(1,2) |
---|
534 | ila_corners(3,2)= bin_addr1_r(2,2) |
---|
535 | ila_corners(4,1)= bin_addr1_r(1,3) |
---|
536 | ila_corners(4,2)= bin_addr1_r(2,3) |
---|
537 | |
---|
538 | ELSE IF (rd_plat < bin_lats_r(1,num_srch_red)) THEN |
---|
539 | ! South of the last complet bin |
---|
540 | bin=num_srch_red |
---|
541 | ila_corners(1,1) = bin_addr1_r(1,num_srch_red-1) |
---|
542 | ila_corners(1,2) = bin_addr1_r(2,num_srch_red-1) |
---|
543 | ila_corners(2,1) = bin_addr1_r(1,num_srch_red) |
---|
544 | ila_corners(2,2) = bin_addr1_r(2,num_srch_red) |
---|
545 | ila_corners(3:4,1:2) = 0 |
---|
546 | |
---|
547 | ELSE IF (rd_plat < bin_lats_r(1,num_srch_red-1)) THEN |
---|
548 | ! in the last bin which is complet |
---|
549 | ! the bin (num_srch_red-1) is the last bin which is complet |
---|
550 | bin=num_srch_red-1 |
---|
551 | ila_corners(1,1) = bin_addr1_r(1,num_srch_red-2) |
---|
552 | ila_corners(1,2) = bin_addr1_r(2,num_srch_red-2) |
---|
553 | ila_corners(2,1) = bin_addr1_r(1,num_srch_red-1) |
---|
554 | ila_corners(2,2) = bin_addr1_r(2,num_srch_red-1) |
---|
555 | ila_corners(3,1) = bin_addr1_r(1,num_srch_red) |
---|
556 | ila_corners(3,2) = bin_addr1_r(2,num_srch_red) |
---|
557 | ila_corners(4,1:2) = 0 |
---|
558 | ELSE |
---|
559 | il_min=2 |
---|
560 | il_max=num_srch_red-1 |
---|
561 | DO WHILE (il_min /= il_max-1) |
---|
562 | il_inter=(il_max-il_min)/2 + il_min |
---|
563 | IF (rd_plat <= bin_lats_r(1,il_min) .and. & |
---|
564 | rd_plat > bin_lats_r(1,il_inter)) THEN |
---|
565 | il_max=il_inter |
---|
566 | ELSE |
---|
567 | il_min=il_inter |
---|
568 | END IF |
---|
569 | END DO |
---|
570 | bin=il_min |
---|
571 | ila_corners(1,1) = bin_addr1_r(1,bin-1) |
---|
572 | ila_corners(1,2) = bin_addr1_r(2,bin-1) |
---|
573 | ila_corners(2,1) = bin_addr1_r(1,bin) |
---|
574 | ila_corners(2,2) = bin_addr1_r(2,bin) |
---|
575 | ila_corners(3,1) = bin_addr1_r(1,bin+1) |
---|
576 | ila_corners(3,2) = bin_addr1_r(2,bin+1) |
---|
577 | ila_corners(4,1) = bin_addr1_r(1,bin+2) |
---|
578 | ila_corners(4,2) = bin_addr1_r(2,bin+2) |
---|
579 | |
---|
580 | IF (ila_corners(1,1)==0) THEN |
---|
581 | ila_corners(1,1)=1 |
---|
582 | END IF |
---|
583 | END IF |
---|
584 | |
---|
585 | DO ib_k=1,4 |
---|
586 | IF (ila_corners(ib_k,1) .NE. 0) & |
---|
587 | rda_src_lats(ib_k)= grid1_center_lat(ila_corners(ib_k,1)) |
---|
588 | ENDDO |
---|
589 | |
---|
590 | ! |
---|
591 | ! now perform a more detailed search for each line |
---|
592 | ! |
---|
593 | |
---|
594 | ida_src_add(:,:)=0 |
---|
595 | ida_nbr_found(:)=0 |
---|
596 | rda_src_lons(:,:)=0 |
---|
597 | |
---|
598 | DO ib_k=1,4 ! for each line of found points |
---|
599 | IF (ila_corners(ib_k,1)==0) THEN |
---|
600 | CYCLE |
---|
601 | END IF |
---|
602 | |
---|
603 | il_min=ila_corners(ib_k,1) |
---|
604 | il_max=ila_corners(ib_k,2) |
---|
605 | |
---|
606 | IF (rd_plon < grid1_center_lon(il_min)) THEN |
---|
607 | DO ib_j=il_max-1, il_max |
---|
608 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
609 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
610 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
611 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
612 | grid1_center_lon(ib_j)-pi2 |
---|
613 | END IF |
---|
614 | END DO |
---|
615 | DO ib_j=il_min, il_min+1 |
---|
616 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
617 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
618 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
619 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
620 | grid1_center_lon(ib_j) |
---|
621 | END IF |
---|
622 | END DO |
---|
623 | |
---|
624 | ELSE IF (rd_plon < grid1_center_lon(il_min+1)) THEN |
---|
625 | IF (grid1_mask(il_max) .or. ld_extrapdone) THEN |
---|
626 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
627 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = il_max |
---|
628 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
629 | grid1_center_lon(il_max)-pi2 |
---|
630 | END IF |
---|
631 | DO ib_j=il_min, il_min+2 |
---|
632 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
633 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
634 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
635 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
636 | grid1_center_lon(ib_j) |
---|
637 | END IF |
---|
638 | END DO |
---|
639 | |
---|
640 | ELSE IF (rd_plon > grid1_center_lon(il_max)) THEN |
---|
641 | DO ib_j=il_max-1, il_max |
---|
642 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
643 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
644 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
645 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
646 | grid1_center_lon(ib_j) |
---|
647 | END IF |
---|
648 | END DO |
---|
649 | DO ib_j=il_min, il_min+1 |
---|
650 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
651 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
652 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
653 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
654 | grid1_center_lon(ib_j)+pi2 |
---|
655 | END IF |
---|
656 | END DO |
---|
657 | |
---|
658 | ELSE IF (rd_plon > grid1_center_lon(il_max-1)) THEN |
---|
659 | DO ib_j=il_max-2, il_max |
---|
660 | IF (grid1_mask(ib_j) .or. ld_extrapdone) THEN |
---|
661 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
662 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = ib_j |
---|
663 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
664 | grid1_center_lon(ib_j) |
---|
665 | END IF |
---|
666 | END DO |
---|
667 | IF (grid1_mask(il_min) .or. ld_extrapdone) THEN |
---|
668 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
669 | ida_src_add(ib_k,ida_nbr_found(ib_k)) = il_min |
---|
670 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
671 | grid1_center_lon(il_min)+pi2 |
---|
672 | END IF |
---|
673 | |
---|
674 | ELSE |
---|
675 | |
---|
676 | DO WHILE (il_min/=il_max-1) |
---|
677 | il_inter=(il_max-il_min)/2 + il_min |
---|
678 | IF (rd_plon >= grid1_center_lon(il_min) .and. & |
---|
679 | rd_plon < grid1_center_lon(il_inter)) THEN |
---|
680 | il_max=il_inter |
---|
681 | ELSE |
---|
682 | il_min=il_inter |
---|
683 | END IF |
---|
684 | END DO |
---|
685 | DO ib_i= il_min-1, il_min+2 |
---|
686 | IF (grid1_mask(ib_i) .or. ld_extrapdone) THEN |
---|
687 | ida_nbr_found(ib_k)=ida_nbr_found(ib_k)+1 |
---|
688 | ida_src_add(ib_k,ida_nbr_found(ib_k))=ib_i |
---|
689 | rda_src_lons(ib_k,ida_nbr_found(ib_k))= & |
---|
690 | grid1_center_lon(ib_i) |
---|
691 | END IF |
---|
692 | END DO |
---|
693 | |
---|
694 | END IF |
---|
695 | |
---|
696 | END DO |
---|
697 | |
---|
698 | |
---|
699 | END SUBROUTINE grid_search_16_points |
---|
700 | |
---|
701 | |
---|
702 | |
---|
703 | !----------------------------------------------------------------------- |
---|
704 | ! BOP |
---|
705 | ! |
---|
706 | ! !IROUTINE: calcul_wght_irreg |
---|
707 | ! |
---|
708 | ! !INTERFACE: |
---|
709 | ! |
---|
710 | SUBROUTINE calcul_wght_irreg(rda_x, rd_pt, rda_wght) |
---|
711 | ! |
---|
712 | ! !USES: |
---|
713 | ! |
---|
714 | ! !RETURN VALUE: |
---|
715 | ! |
---|
716 | REAL (KIND=dbl_kind), DIMENSION(4), INTENT(out) :: & |
---|
717 | rda_wght ! array of weights for the points x |
---|
718 | ! |
---|
719 | ! !PARAMETERS: |
---|
720 | ! |
---|
721 | REAL (KIND=dbl_kind), DIMENSION(4), INTENT(in) :: & |
---|
722 | rda_x ! array of positions on source grid, lat or lon |
---|
723 | |
---|
724 | REAL (KIND=dbl_kind),INTENT(in) :: & |
---|
725 | rd_pt ! position of target point to interpolate |
---|
726 | |
---|
727 | REAL (KIND=dbl_kind) :: & |
---|
728 | rl_t1, rl_t2, rl_t3, rl_t4, rl_t5, rl_t6, rl_t7, rl_t8, rl_t9, & |
---|
729 | rl_u1, rl_u2, rl_u3, rl_u4, & |
---|
730 | rl_k1, rl_k2, rl_k3, & |
---|
731 | rl_d1, rl_d2, rl_d3, rl_d4, & |
---|
732 | rl_c1, rl_c2, rl_c3, rl_c4, & |
---|
733 | rl_b1, rl_b2, rl_b3, rl_b4, & |
---|
734 | rl_a1, rl_a2, rl_a3, rl_a4, & |
---|
735 | rl_y1, rl_y2, rl_y3, & |
---|
736 | rl_a1_y, rl_a2_y, rl_a3_y, rl_a4_y, & |
---|
737 | rl_b1_y, rl_b2_y, rl_b3_y, rl_b4_y, & |
---|
738 | rl_c1_y, rl_c2_y, rl_c3_y, rl_c4_y |
---|
739 | ! |
---|
740 | ! !DESCRIPTION: |
---|
741 | ! Calculates a the weights of four points for a bicubic interpolation. |
---|
742 | ! The distances between the points can be irregulier. |
---|
743 | ! |
---|
744 | ! !REVISION HISTORY: |
---|
745 | ! 2002.10.21 J.Ghattas created |
---|
746 | ! |
---|
747 | ! EOP |
---|
748 | !----------------------------------------------------------------------- |
---|
749 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
---|
750 | ! $Author: valcke $ |
---|
751 | !----------------------------------------------------------------------- |
---|
752 | |
---|
753 | |
---|
754 | IF (rda_x(1)/=0.and. rda_x(2)/=0 .and. rda_x(3)/=0 .and. rda_x(4)/=0) THEN |
---|
755 | |
---|
756 | rl_t1 = 1/rda_x(1) - 1/rda_x(2) |
---|
757 | rl_t2 = 1/rda_x(1)**2 - 1/rda_x(2)**2 |
---|
758 | rl_t3 = 1/rda_x(1)**3 - 1/rda_x(2)**3 |
---|
759 | rl_t4 = 1/rda_x(1) - 1/rda_x(3) |
---|
760 | rl_t5 = 1/rda_x(1)**2 - 1/rda_x(3)**2 |
---|
761 | rl_t6 = 1/rda_x(1)**3 - 1/rda_x(3)**3 |
---|
762 | rl_t7 = 1/rda_x(1) - 1/rda_x(4) |
---|
763 | rl_t8 = 1/rda_x(1)**2 - 1/rda_x(4)**2 |
---|
764 | rl_t9 = 1/rda_x(1)**3 - 1/rda_x(4)**3 |
---|
765 | |
---|
766 | rl_u1 = rl_t2/rl_t1 - rl_t5/rl_t4 |
---|
767 | rl_u2 = rl_t3/rl_t1 - rl_t6/rl_t4 |
---|
768 | rl_u3 = rl_t2/rl_t1 - rl_t8/rl_t7 |
---|
769 | rl_u4 = rl_t3/rl_t1 - rl_t9/rl_t7 |
---|
770 | |
---|
771 | rl_k1 = (1/(rl_t1*rl_u1)-1/(rl_t1*rl_u3)) / (rl_u2/rl_u1-rl_u4/rl_u3) |
---|
772 | rl_k2 = -1/(rl_t4*rl_u1) / (rl_u2/rl_u1-rl_u4/rl_u3) |
---|
773 | rl_k3 = 1/(rl_t7*rl_u3) / (rl_u2/rl_u1-rl_u4/rl_u3) |
---|
774 | |
---|
775 | |
---|
776 | rl_d1=(rl_k1+rl_k2+rl_k3)/rda_x(1)**3 |
---|
777 | rl_d2 = -rl_k1/rda_x(2)**3 |
---|
778 | rl_d3 = -rl_k2/rda_x(3)**3 |
---|
779 | rl_d4 = -rl_k3/rda_x(4)**3 |
---|
780 | |
---|
781 | rl_c1 = 1/rl_u1*(1/(rl_t1*rda_x(1)**3)-1/(rl_t4*rda_x(1)**3)- & |
---|
782 | rl_u2*rl_d1) |
---|
783 | rl_c2 = 1/rl_u1*(1/(-rl_t1*rda_x(2)**3)-rl_u2*rl_d2) |
---|
784 | rl_c3 = 1/rl_u1*(1/(rl_t4*rda_x(3)**3)-rl_u2*rl_d3) |
---|
785 | rl_c4 = 1/rl_u1*(-rl_u2*rl_d4) |
---|
786 | |
---|
787 | rl_b1 = 1/rl_t1/rda_x(1)**3-rl_t2/rl_t1*rl_c1-rl_t3/rl_t1*rl_d1 |
---|
788 | rl_b2 = -1/rl_t1/rda_x(2)**3-rl_t2/rl_t1*rl_c2-rl_t3/rl_t1*rl_d2 |
---|
789 | rl_b3 = -rl_t2/rl_t1*rl_c3-rl_t3/rl_t1*rl_d3 |
---|
790 | rl_b4 = -rl_t2/rl_t1*rl_c4-rl_t3/rl_t1*rl_d4 |
---|
791 | |
---|
792 | rl_a1 = 1/rda_x(1)**3-1/rda_x(1)*rl_b1-1/rda_x(1)**2*rl_c1- & |
---|
793 | 1/rda_x(1)**3*rl_d1 |
---|
794 | rl_a2 = -1/rda_x(1)*rl_b2-1/rda_x(1)**2*rl_c2-1/rda_x(1)**3*rl_d2 |
---|
795 | rl_a3 = -1/rda_x(1)*rl_b3-1/rda_x(1)**2*rl_c3-1/rda_x(1)**3*rl_d3 |
---|
796 | rl_a4 = -1/rda_x(1)*rl_b4-1/rda_x(1)**2*rl_c4-1/rda_x(1)**3*rl_d4 |
---|
797 | |
---|
798 | ! Weights |
---|
799 | rda_wght(1) = rl_a1*rd_pt**3 + rl_b1*rd_pt**2 + rl_c1*rd_pt + rl_d1 |
---|
800 | rda_wght(2) = rl_a2*rd_pt**3 + rl_b2*rd_pt**2 + rl_c2*rd_pt + rl_d2 |
---|
801 | rda_wght(3) = rl_a3*rd_pt**3 + rl_b3*rd_pt**2 + rl_c3*rd_pt + rl_d3 |
---|
802 | rda_wght(4) = rl_a4*rd_pt**3 + rl_b4*rd_pt**2 + rl_c4*rd_pt + rl_d4 |
---|
803 | |
---|
804 | ELSE ! there is one point = 0 |
---|
805 | |
---|
806 | rl_d1=0; rl_d2=0; rl_d3=0; rl_d4=0 |
---|
807 | |
---|
808 | ! Transformation for each case |
---|
809 | IF (rda_x(1)==0) THEN |
---|
810 | rl_y1=rda_x(2); rl_y2=rda_x(3); rl_y3=rda_x(4) |
---|
811 | rl_d1=1 |
---|
812 | ELSE IF (rda_x(2)==0) THEN |
---|
813 | rl_y1=rda_x(1); rl_y2=rda_x(3); rl_y3=rda_x(4) |
---|
814 | rl_d2=1 |
---|
815 | ELSE IF (rda_x(3)==0) THEN |
---|
816 | rl_y1=rda_x(1); rl_y2=rda_x(2); rl_y3=rda_x(4) |
---|
817 | rl_d3=1 |
---|
818 | ELSE |
---|
819 | rl_y1=rda_x(1); rl_y2=rda_x(2); rl_y3=rda_x(3) |
---|
820 | rl_d4=1 |
---|
821 | END IF |
---|
822 | |
---|
823 | ! Solving the system |
---|
824 | rl_t1 = 1/rl_y1-1/rl_y2 |
---|
825 | rl_t2 = 1/rl_y1**2-1/rl_y2**2 |
---|
826 | rl_t3 = 1/rl_y1-1/rl_y3 |
---|
827 | rl_t4 = 1/rl_y1**2-1/rl_y3**2 |
---|
828 | |
---|
829 | rl_c1_y =(1/rl_y1**3/rl_t1-1/rl_y1**3/rl_t3)/(rl_t2/rl_t1-rl_t4/rl_t3) |
---|
830 | rl_c2_y = -1/rl_y2**3/rl_t1/(rl_t2/rl_t1-rl_t4/rl_t3) |
---|
831 | rl_c3_y = 1/rl_y3**3/rl_t3/(rl_t2/rl_t1-rl_t4/rl_t3) |
---|
832 | rl_c4_y=(-1/rl_y1**3/rl_t1+1/rl_y2**3/rl_t1+ & |
---|
833 | 1/rl_y1**3/rl_t3-1/rl_y3**3/rl_t3)/(rl_t2/rl_t1-rl_t4/rl_t3) |
---|
834 | |
---|
835 | rl_b1_y = 1/rl_y1**3/rl_t1 - rl_c1_y*rl_t2/rl_t1 |
---|
836 | rl_b2_y = -1/rl_y2**3/rl_t1 - rl_c2_y*rl_t2/rl_t1 |
---|
837 | rl_b3_y = -rl_c3_y*rl_t2/rl_t1 |
---|
838 | rl_b4_y = -1/rl_y1**3/rl_t1 + 1/rl_y2**3/rl_t1 - rl_c4_y*rl_t2/rl_t1 |
---|
839 | |
---|
840 | rl_a1_y = 1/rl_y1**3 - rl_b1_y/rl_y1 - rl_c1_y/rl_y1**2 |
---|
841 | rl_a2_y = -rl_b2_y/rl_y1 - rl_c2_y/rl_y1**2 |
---|
842 | rl_a3_y = -rl_b3_y/rl_y1 - rl_c3_y/rl_y1**2 |
---|
843 | rl_a4_y = -1/rl_y1**3 - rl_b4_y/rl_y1 - rl_c4_y/rl_y1**2 |
---|
844 | |
---|
845 | ! Retransformation |
---|
846 | IF (rda_x(1)==0) THEN |
---|
847 | rl_a1=rl_a4_y; rl_a2=rl_a1_y; rl_a3=rl_a2_y; rl_a4=rl_a3_y |
---|
848 | rl_b1=rl_b4_y; rl_b2=rl_b1_y; rl_b3=rl_b2_y; rl_b4=rl_b3_y |
---|
849 | rl_c1=rl_c4_y; rl_c2=rl_c1_y; rl_c3=rl_c2_y; rl_c4=rl_c3_y |
---|
850 | ELSE IF (rda_x(2)==0) THEN |
---|
851 | rl_a1=rl_a1_y; rl_a2=rl_a4_y; rl_a3=rl_a2_y; rl_a4=rl_a3_y |
---|
852 | rl_b1=rl_b1_y; rl_b2=rl_b4_y; rl_b3=rl_b2_y; rl_b4=rl_b3_y |
---|
853 | rl_c1=rl_c1_y; rl_c2=rl_c4_y; rl_c3=rl_c2_y; rl_c4=rl_c3_y |
---|
854 | ELSE IF (rda_x(3)==0) THEN |
---|
855 | rl_a1=rl_a1_y; rl_a2=rl_a2_y; rl_a3=rl_a4_y; rl_a4=rl_a3_y |
---|
856 | rl_b1=rl_b1_y; rl_b2=rl_b2_y; rl_b3=rl_b4_y; rl_b4=rl_b3_y |
---|
857 | rl_c1=rl_c1_y; rl_c2=rl_c2_y; rl_c3=rl_c4_y; rl_c4=rl_c3_y |
---|
858 | ELSE |
---|
859 | rl_a1=rl_a1_y; rl_a2=rl_a2_y; rl_a3=rl_a3_y; rl_a4=rl_a4_y |
---|
860 | rl_b1=rl_b1_y; rl_b2=rl_b2_y; rl_b3=rl_b3_y; rl_b4=rl_b4_y |
---|
861 | rl_c1=rl_c1_y; rl_c2=rl_c2_y; rl_c3=rl_c3_y; rl_c4=rl_c4_y |
---|
862 | END IF |
---|
863 | |
---|
864 | ! Weights |
---|
865 | rda_wght(1) = rl_a1*rd_pt**3 + rl_b1*rd_pt**2 + rl_c1*rd_pt +rl_d1 |
---|
866 | rda_wght(2) = rl_a2*rd_pt**3 + rl_b2*rd_pt**2 + rl_c2*rd_pt +rl_d2 |
---|
867 | rda_wght(3) = rl_a3*rd_pt**3 + rl_b3*rd_pt**2 + rl_c3*rd_pt +rl_d3 |
---|
868 | rda_wght(4) = rl_a4*rd_pt**3 + rl_b4*rd_pt**2 + rl_c4*rd_pt +rl_d4 |
---|
869 | |
---|
870 | END IF |
---|
871 | |
---|
872 | |
---|
873 | END SUBROUTINE calcul_wght_irreg |
---|
874 | |
---|
875 | !----------------------------------------------------------------------- |
---|
876 | ! BOP |
---|
877 | ! |
---|
878 | ! !IROUTINE: calcul_wght_3 |
---|
879 | ! |
---|
880 | ! !INTERFACE: |
---|
881 | |
---|
882 | SUBROUTINE calcul_wght_3(rda_x, rd_pt, rda_wght) |
---|
883 | |
---|
884 | ! !USES: |
---|
885 | |
---|
886 | ! !RETURN VALUE: |
---|
887 | |
---|
888 | REAL (KIND=dbl_kind), DIMENSION(3), INTENT(out) :: & |
---|
889 | rda_wght ! array of weights for the points x |
---|
890 | |
---|
891 | ! !PARAMETERS: |
---|
892 | |
---|
893 | REAL (KIND=dbl_kind), DIMENSION(3), INTENT(in) :: & |
---|
894 | rda_x ! array of positions on source grid, lat or lon |
---|
895 | |
---|
896 | REAL (KIND=dbl_kind), INTENT(in) :: & |
---|
897 | rd_pt ! position of target point to interpolate |
---|
898 | |
---|
899 | REAL (KIND=dbl_kind) :: & |
---|
900 | rl_c1, rl_c2, rl_c3, & |
---|
901 | rl_a1, rl_a2, rl_a3, & |
---|
902 | rl_b1, rl_b2, rl_b3, & |
---|
903 | rl_t1, rl_t2, rl_t3, rl_t4 |
---|
904 | |
---|
905 | ! !DESCRIPTION: |
---|
906 | ! Calculates a the weights of 3 points for a parabolic interpolation. |
---|
907 | ! |
---|
908 | ! !REVISION HISTORY: |
---|
909 | ! 2002.10.21 J.Ghattas created |
---|
910 | ! |
---|
911 | ! EOP |
---|
912 | !----------------------------------------------------------------------- |
---|
913 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
---|
914 | ! $Author: valcke $ |
---|
915 | !----------------------------------------------------------------------- |
---|
916 | |
---|
917 | |
---|
918 | IF (rda_x(1)/=0 .and. rda_x(2)/=0 .and. rda_x(3)/=0) THEN |
---|
919 | rl_t1 = 1/rda_x(1)-1/rda_x(2) |
---|
920 | rl_t2 = 1/rda_x(1)**2-1/rda_x(2)**2 |
---|
921 | rl_t3 = 1/rda_x(1)-1/rda_x(3) |
---|
922 | rl_t4 = 1/rda_x(1)**2-1/rda_x(3)**2 |
---|
923 | |
---|
924 | rl_c1 = (1/rda_x(1)**2/rl_t1-1/rda_x(1)**2/rl_t3) / & |
---|
925 | (rl_t2/rl_t1-rl_t4/rl_t3) |
---|
926 | rl_c2 = -1/rda_x(2)**2/rl_t1 / (rl_t2/rl_t1-rl_t4/rl_t3) |
---|
927 | rl_c3 = 1/rda_x(3)**2/rl_t3 / (rl_t2/rl_t1-rl_t4/rl_t3) |
---|
928 | |
---|
929 | rl_b1 = 1/rda_x(1)**2/rl_t1 - rl_c1*rl_t2/rl_t1 |
---|
930 | rl_b2 = -1/rda_x(2)**2/rl_t1 - rl_c2*rl_t2/rl_t1 |
---|
931 | rl_b3 = - rl_c3*rl_t2/rl_t1 |
---|
932 | |
---|
933 | rl_a1 = 1/rda_x(1)**2 - rl_b1/rda_x(1) - rl_c1/rda_x(1)**2 |
---|
934 | rl_a2 = - rl_b2/rda_x(1) - rl_c2/rda_x(1)**2 |
---|
935 | rl_a3 = - rl_b3/rda_x(1) - rl_c3/rda_x(1)**2 |
---|
936 | |
---|
937 | |
---|
938 | ELSE IF (rda_x(1)==0) THEN |
---|
939 | rl_c1 = 1; rl_c2 = 0; rl_c3 = 0 |
---|
940 | rl_b1 = (-1/rda_x(2)**2+1/rda_x(3)**2) / (1/rda_x(2)-1/rda_x(3)) |
---|
941 | rl_b2 = 1/rda_x(2)**2 / (1/rda_x(2)-1/rda_x(3)) |
---|
942 | rl_b3 = -1/rda_x(3)**2 / (1/rda_x(2)-1/rda_x(3)) |
---|
943 | |
---|
944 | rl_a1 = -1/rda_x(2)**2 - rl_b1/rda_x(2) |
---|
945 | rl_a2 = 1/rda_x(2)**2 - rl_b2/rda_x(2) |
---|
946 | rl_a3 = - rl_b3/rda_x(2) |
---|
947 | |
---|
948 | ELSE IF (rda_x(2)==0) THEN |
---|
949 | |
---|
950 | rl_c1 = 0; rl_c2 = 1; rl_c3 = 0 |
---|
951 | rl_b1 = 1/rda_x(1)**2 / (1/rda_x(1)-1/rda_x(3)) |
---|
952 | rl_b2 = (-1/rda_x(1)**2+1/rda_x(3)**2) / (1/rda_x(1)-1/rda_x(3)) |
---|
953 | rl_b3 = -1/rda_x(3)**2 / (1/rda_x(1)-1/rda_x(3)) |
---|
954 | |
---|
955 | rl_a1 = 1/rda_x(1)**2 - rl_b1/rda_x(1) |
---|
956 | rl_a2 = -1/rda_x(1)**2 - rl_b2/rda_x(1) |
---|
957 | rl_a3 = - rl_b3/rda_x(1) |
---|
958 | |
---|
959 | ELSE !rda_x(3)==0 |
---|
960 | rl_c1 = 0; rl_c2 = 0; rl_c3 = 1 |
---|
961 | rl_b1 = 1/rda_x(1)**2 / (1/rda_x(1)-1/rda_x(2)) |
---|
962 | rl_b2 = -1/rda_x(2)**2 / (1/rda_x(1)-1/rda_x(2)) |
---|
963 | rl_b3 = (-1/rda_x(1)**2+1/rda_x(2)**2) / (1/rda_x(1)-1/rda_x(2)) |
---|
964 | |
---|
965 | rl_a1 = 1/rda_x(1)**2 - rl_b1/rda_x(1) |
---|
966 | rl_a2 = - rl_b2/rda_x(1) |
---|
967 | rl_a3 = -1/rda_x(1)**2 - rl_b3/rda_x(1) |
---|
968 | |
---|
969 | |
---|
970 | END IF |
---|
971 | |
---|
972 | ! Weights |
---|
973 | rda_wght(1) = rl_a1*rd_pt**2 + rl_b1*rd_pt + rl_c1 |
---|
974 | rda_wght(2) = rl_a2*rd_pt**2 + rl_b2*rd_pt + rl_c2 |
---|
975 | rda_wght(3) = rl_a3*rd_pt**2 + rl_b3*rd_pt + rl_c3 |
---|
976 | |
---|
977 | |
---|
978 | END SUBROUTINE calcul_wght_3 |
---|
979 | |
---|
980 | |
---|
981 | !----------------------------------------------------------------------- |
---|
982 | ! BOP |
---|
983 | ! |
---|
984 | ! !IROUTINE: calcul_wght_2 |
---|
985 | ! |
---|
986 | ! !INTERFACE: |
---|
987 | |
---|
988 | SUBROUTINE calcul_wght_2(rda_x, rd_pt, rda_wght) |
---|
989 | |
---|
990 | ! !USES: |
---|
991 | |
---|
992 | ! !RETURN VALUE: |
---|
993 | |
---|
994 | REAL (KIND=dbl_kind), DIMENSION(2), INTENT(out) :: & |
---|
995 | rda_wght ! array of weights for the points x |
---|
996 | |
---|
997 | ! !PARAMETERS: |
---|
998 | |
---|
999 | REAL (KIND=dbl_kind), DIMENSION(2), INTENT(in) :: & |
---|
1000 | rda_x ! array of positions on source grid, lat or lon |
---|
1001 | |
---|
1002 | REAL (KIND=dbl_kind), INTENT(in) :: & |
---|
1003 | rd_pt ! position of target point to interpolate |
---|
1004 | |
---|
1005 | REAL (KIND=dbl_kind) :: rl_b1, rl_b2, rl_a1, rl_a2 |
---|
1006 | |
---|
1007 | ! !DESCRIPTION: |
---|
1008 | ! Calculates a the weights of 2 points for a linair interpolation. |
---|
1009 | ! |
---|
1010 | ! !REVISION HISTORY: |
---|
1011 | ! 2002.10.21 J.Ghattas created |
---|
1012 | ! |
---|
1013 | ! EOP |
---|
1014 | !----------------------------------------------------------------------- |
---|
1015 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
---|
1016 | ! $Author: valcke $ |
---|
1017 | !----------------------------------------------------------------------- |
---|
1018 | |
---|
1019 | |
---|
1020 | IF (rda_x(1)/=0 .and. rda_x(2)/=0) THEN |
---|
1021 | rl_b1 = 1/(1-rda_x(1)/rda_x(2)) |
---|
1022 | rl_b2 = -1/(rda_x(2)/rda_x(1)-1) |
---|
1023 | rl_a1 = 1/rda_x(1) - rl_b1/rda_x(1) |
---|
1024 | rl_a2 = - rl_b2/rda_x(1) |
---|
1025 | |
---|
1026 | ELSE IF (rda_x(1)==0) THEN |
---|
1027 | rl_b1=1; rl_b2=0 |
---|
1028 | rl_a1=-1/rda_x(2) |
---|
1029 | rl_a2=1/rda_x(2) |
---|
1030 | ELSE |
---|
1031 | rl_b1=0; rl_b2=1 |
---|
1032 | rl_a1=1/rda_x(1) |
---|
1033 | rl_a2=-1/rda_x(1) |
---|
1034 | END IF |
---|
1035 | |
---|
1036 | rda_wght(1) = rl_a1*rd_pt + rl_b1 |
---|
1037 | rda_wght(2) = rl_a2*rd_pt + rl_b2 |
---|
1038 | |
---|
1039 | END SUBROUTINE calcul_wght_2 |
---|
1040 | |
---|
1041 | |
---|
1042 | !----------------------------------------------------------------------- |
---|
1043 | ! BOP |
---|
1044 | ! |
---|
1045 | ! !IROUTINE: store_link_bicub |
---|
1046 | ! |
---|
1047 | ! !INTERFACE: |
---|
1048 | |
---|
1049 | SUBROUTINE store_link_bicub(id_dst_add, ida_src_add, rda_wght) |
---|
1050 | |
---|
1051 | ! !USES: |
---|
1052 | |
---|
1053 | ! !RETURN VALUE: |
---|
1054 | |
---|
1055 | ! !PARAMETERS: |
---|
1056 | |
---|
1057 | INTEGER (KIND=int_kind), INTENT(in) :: & |
---|
1058 | id_dst_add ! address on destination grid |
---|
1059 | |
---|
1060 | INTEGER (KIND=int_kind), DIMENSION(4,4), INTENT(in) :: & |
---|
1061 | ida_src_add ! addresses for links on source grid |
---|
1062 | |
---|
1063 | REAL (KIND=dbl_kind), DIMENSION(4,4), INTENT(in) :: & |
---|
1064 | rda_wght ! array of remapping weights for these links |
---|
1065 | |
---|
1066 | INTEGER (KIND=int_kind) :: ib_i, & |
---|
1067 | il_num_links_old ! placeholder for old link number |
---|
1068 | |
---|
1069 | INTEGER (KIND=int_kind), DIMENSION(16) :: & |
---|
1070 | ila_src_add ! reshaped addresses |
---|
1071 | |
---|
1072 | REAL (KIND=dbl_kind), DIMENSION(16) :: & |
---|
1073 | rla_wght ! reshaped weights |
---|
1074 | |
---|
1075 | ! !DESCRIPTION: |
---|
1076 | ! This routine stores the addresses and weights for 16 links associated |
---|
1077 | ! with one destination point in the appropriate address. |
---|
1078 | ! |
---|
1079 | ! !REVISION HISTORY: |
---|
1080 | ! 2002.10.21 J.Ghattas created |
---|
1081 | ! |
---|
1082 | ! EOP |
---|
1083 | !----------------------------------------------------------------------- |
---|
1084 | ! $Id: remap_bicubic_reduced.F90 2826 2010-12-10 11:14:21Z valcke $ |
---|
1085 | ! $Author: valcke $ |
---|
1086 | !----------------------------------------------------------------------- |
---|
1087 | |
---|
1088 | |
---|
1089 | ! |
---|
1090 | ! Increment number of links and check if remap arrays need |
---|
1091 | ! to be increased to accomodate the new link. then store the link. |
---|
1092 | ! |
---|
1093 | |
---|
1094 | il_num_links_old = num_links_map1 |
---|
1095 | num_links_map1 = il_num_links_old + 16 |
---|
1096 | |
---|
1097 | IF (num_links_map1 > max_links_map1) THEN |
---|
1098 | CALL resize_remap_vars(1,MAX(resize_increment,16)) |
---|
1099 | END IF |
---|
1100 | |
---|
1101 | ila_src_add=RESHAPE(ida_src_add,(/16/)) |
---|
1102 | rla_wght=RESHAPE(rda_wght,(/16/)) |
---|
1103 | |
---|
1104 | DO ib_i=1,16 |
---|
1105 | grid1_add_map1(il_num_links_old+ib_i) = ila_src_add(ib_i) |
---|
1106 | grid2_add_map1(il_num_links_old+ib_i) = id_dst_add |
---|
1107 | wts_map1(1,il_num_links_old+ib_i) = rla_wght(ib_i) |
---|
1108 | END DO |
---|
1109 | |
---|
1110 | END SUBROUTINE store_link_bicub |
---|
1111 | |
---|
1112 | |
---|
1113 | END MODULE remap_bicubic_reduced |
---|
1114 | |
---|
1115 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1116 | |
---|