1 | ! |
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2 | MODULE bilinear_interp |
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3 | ! |
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4 | USE agrif_modutil |
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5 | ! |
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6 | !************************************************************************ |
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7 | ! * |
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8 | ! MODULE BILINEAR INTERP * |
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9 | ! * |
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10 | ! bilinear interpolation routines from SCRIP package * |
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11 | ! * |
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12 | !http://climate.lanl.gov/Software/SCRIP/ * |
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13 | ! * |
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14 | !Bilinear remapping * |
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15 | ! * |
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16 | !************************************************************************ |
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17 | ! |
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18 | !----------------------------------------------------------------------- |
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19 | IMPLICIT NONE |
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20 | |
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21 | !----------------------------------------------------------------------- |
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22 | ! variables that describe each grid |
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23 | !----------------------------------------------------------------------- |
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24 | ! |
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25 | INTEGER :: grid1_size,grid2_size,grid1_rank, grid2_rank |
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26 | ! |
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27 | INTEGER, DIMENSION(:), POINTER :: grid1_dims, grid2_dims |
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28 | ! |
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29 | |
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30 | !----------------------------------------------------------------------- |
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31 | ! grid coordinates and masks |
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32 | !----------------------------------------------------------------------- |
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33 | ! |
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34 | LOGICAL, DIMENSION(:), POINTER :: grid1_mask,grid2_mask |
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35 | ! each grid center in radians |
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36 | REAL*8,DIMENSION(:),POINTER :: & |
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37 | grid1_center_lat, & |
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38 | grid1_center_lon, & |
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39 | grid2_center_lat, & |
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40 | grid2_center_lon, & |
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41 | grid1_frac, & ! fractional area of grid cells |
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42 | grid2_frac ! participating in remapping |
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43 | ! |
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44 | ! lat/lon bounding box for use in restricting grid searches |
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45 | ! |
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46 | REAL*8,DIMENSION(:,:), POINTER :: grid1_bound_box,grid2_bound_box |
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47 | ! |
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48 | !----------------------------------------------------------------------- |
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49 | ! bins for restricting searches |
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50 | !----------------------------------------------------------------------- |
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51 | ! |
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52 | ! num of bins for restricted srch |
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53 | INTEGER, PARAMETER :: num_srch_bins = 90 |
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54 | ! |
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55 | ! min,max adds for grid cells in this lat bin |
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56 | ! |
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57 | INTEGER,DIMENSION(:,:),POINTER :: bin_addr1,bin_addr2 |
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58 | ! |
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59 | ! min,max longitude for each search bin |
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60 | ! |
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61 | REAL*8, DIMENSION(:,:),POINTER :: bin_lats,bin_lons |
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62 | |
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63 | REAL*8, PARAMETER :: zero = 0.0, & |
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64 | one = 1.0, & |
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65 | two = 2.0, & |
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66 | three = 3.0, & |
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67 | four = 4.0, & |
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68 | five = 5.0, & |
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69 | half = 0.5, & |
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70 | quart = 0.25, & |
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71 | bignum = 1.e+20, & |
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72 | tiny = 1.e-14, & |
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73 | pi = 3.14159265359, & |
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74 | pi2 = two*pi, & |
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75 | pih = half*pi |
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76 | |
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77 | REAL*8, PARAMETER :: deg2rad = pi/180. |
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78 | ! |
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79 | ! max iteration count for i,j iteration |
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80 | ! |
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81 | INTEGER , PARAMETER :: max_iter = 100 |
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82 | ! |
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83 | ! convergence criterion |
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84 | ! |
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85 | REAL*8, PARAMETER :: converge = 1.e-10 |
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86 | |
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87 | |
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88 | ! |
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89 | INTEGER, PARAMETER :: norm_opt_none = 1 & |
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90 | ,norm_opt_dstarea = 2 & |
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91 | ,norm_opt_frcarea = 3 |
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92 | ! |
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93 | INTEGER, PARAMETER :: map_type_conserv = 1 & |
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94 | ,map_type_bilinear = 2 & |
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95 | ,map_type_bicubic = 3 & |
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96 | ,map_type_distwgt = 4 |
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97 | ! |
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98 | INTEGER :: max_links_map1 & ! current size of link arrays |
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99 | ,num_links_map1 & ! actual number of links for remapping |
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100 | ,max_links_map2 & ! current size of link arrays |
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101 | ,num_links_map2 & ! actual number of links for remapping |
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102 | ,num_maps & ! num of remappings for this grid pair |
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103 | ,num_wts & ! num of weights used in remapping |
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104 | ,map_type & ! identifier for remapping method |
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105 | ,norm_opt & ! option for normalization (conserv only) |
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106 | ,resize_increment ! default amount to increase array size |
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107 | |
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108 | INTEGER , DIMENSION(:), POINTER :: & |
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109 | grid1_add_map1, & ! grid1 address for each link in mapping 1 |
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110 | grid2_add_map1, & ! grid2 address for each link in mapping 1 |
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111 | grid1_add_map2, & ! grid1 address for each link in mapping 2 |
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112 | grid2_add_map2 ! grid2 address for each link in mapping 2 |
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113 | |
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114 | REAL*8, DIMENSION(:,:), POINTER :: & |
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115 | wts_map1, & ! map weights for each link (num_wts,max_links) |
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116 | wts_map2 ! map weights for each link (num_wts,max_links) |
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117 | ! |
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118 | CONTAINS |
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119 | ! |
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120 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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121 | !************************************************************************ |
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122 | ! SUBROUTINE GRID_INIT |
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123 | !************************************************************************ |
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124 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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125 | ! |
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126 | SUBROUTINE get_remap_matrix(grid1_lat,grid2_lat,grid1_lon,grid2_lon,mask, & |
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127 | remap_matrix,source_add,destination_add) |
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128 | ! |
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129 | !----------------------------------------------------------------------- |
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130 | !this routine makes any necessary changes (e.g. for 0,2pi longitude range) |
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131 | !----------------------------------------------------------------------- |
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132 | ! |
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133 | REAL*8,DIMENSION(:,:),POINTER :: grid1_lat,grid2_lat,grid1_lon,grid2_lon |
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134 | LOGICAL,DIMENSION(:,:) :: mask |
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135 | ! |
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136 | INTEGER,DIMENSION(:),POINTER :: source_add,destination_add |
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137 | REAL*8,DIMENSION(:,:),POINTER :: remap_matrix |
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138 | ! |
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139 | !----------------------------------------------------------------------- |
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140 | ! local variables |
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141 | !----------------------------------------------------------------------- |
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142 | ! |
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143 | INTEGER :: n,nele,i,j,ip1,jp1,n_add,e_add,ne_add,nx,ny |
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144 | INTEGER :: xpos,ypos |
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145 | ! |
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146 | ! integer mask |
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147 | ! |
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148 | INTEGER, DIMENSION(:), POINTER :: imask |
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149 | ! |
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150 | ! lat/lon intervals for search bins |
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151 | ! |
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152 | REAL*8 :: dlat,dlon |
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153 | ! |
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154 | ! temps for computing bounding boxes |
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155 | ! |
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156 | REAL*8, DIMENSION(4) :: tmp_lats, tmp_lons |
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157 | ! |
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158 | ! write(*,*)'proceed to Bilinear interpolation ...' |
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159 | ! |
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160 | IF(ASSOCIATED(wts_map1)) DEALLOCATE(wts_map1) |
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161 | IF(ASSOCIATED(grid1_add_map1)) DEALLOCATE(grid1_add_map1) |
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162 | IF(ASSOCIATED(grid2_add_map1)) DEALLOCATE(grid2_add_map1) |
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163 | |
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164 | |
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165 | ! |
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166 | ALLOCATE(grid1_dims(2),grid2_dims(2)) |
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167 | ! |
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168 | grid1_dims(1) = SIZE(grid1_lat,2) |
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169 | grid1_dims(2) = SIZE(grid1_lat,1) |
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170 | grid2_dims(1) = SIZE(grid2_lat,2) |
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171 | grid2_dims(2) = SIZE(grid2_lat,1) |
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172 | grid1_size = SIZE(grid1_lat,2) * SIZE(grid1_lat,1) |
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173 | grid2_size = SIZE(grid2_lat,2) * SIZE(grid2_lat,1) |
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174 | ! |
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175 | !----------------------------------------------------------------------- |
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176 | ! allocate grid coordinates/masks and read data |
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177 | !----------------------------------------------------------------------- |
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178 | ! |
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179 | ALLOCATE( grid2_mask(grid2_size), & |
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180 | grid1_bound_box (4,grid1_size), & |
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181 | grid2_bound_box (4,grid2_size), & |
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182 | grid1_frac (grid1_size), & |
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183 | grid2_frac (grid2_size)) |
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184 | ALLOCATE(imask(grid1_size)) |
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185 | ! |
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186 | ! |
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187 | grid1_frac = zero |
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188 | grid2_frac = zero |
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189 | |
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190 | ! |
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191 | ! 2D array -> 1D array |
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192 | ! |
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193 | ALLOCATE(grid1_center_lat(SIZE(grid1_lat,1)*SIZE(grid1_lat,2))) |
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194 | CALL tab2Dto1D(grid1_lat,grid1_center_lat) |
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195 | |
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196 | ALLOCATE(grid1_center_lon(SIZE(grid1_lon,1)*SIZE(grid1_lon,2))) |
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197 | CALL tab2Dto1D(grid1_lon,grid1_center_lon) |
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198 | |
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199 | ALLOCATE(grid2_center_lat(SIZE(grid2_lat,1)*SIZE(grid2_lat,2))) |
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200 | CALL tab2Dto1D(grid2_lat,grid2_center_lat) |
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201 | |
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202 | ALLOCATE(grid2_center_lon(SIZE(grid2_lon,1)*SIZE(grid2_lon,2))) |
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203 | CALL tab2Dto1D(grid2_lon,grid2_center_lon) |
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204 | |
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205 | ALLOCATE(grid1_mask(SIZE(grid1_lat,1)*SIZE(grid1_lat,2))) |
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206 | CALL logtab2Dto1D(mask,grid1_mask) |
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207 | ! |
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208 | ! Write(*,*) ,'grid1_mask = ',grid1_mask |
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209 | ! |
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210 | ! degrees to radian |
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211 | ! |
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212 | grid1_center_lat = grid1_center_lat*deg2rad |
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213 | grid1_center_lon = grid1_center_lon*deg2rad |
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214 | grid2_center_lat = grid2_center_lat*deg2rad |
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215 | grid2_center_lon = grid2_center_lon*deg2rad |
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216 | |
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217 | !----------------------------------------------------------------------- |
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218 | ! convert longitudes to 0,2pi interval |
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219 | !----------------------------------------------------------------------- |
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220 | |
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221 | WHERE (grid1_center_lon .GT. pi2) grid1_center_lon = & |
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222 | grid1_center_lon - pi2 |
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223 | WHERE (grid1_center_lon .LT. zero) grid1_center_lon = & |
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224 | grid1_center_lon + pi2 |
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225 | WHERE (grid2_center_lon .GT. pi2) grid2_center_lon = & |
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226 | grid2_center_lon - pi2 |
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227 | WHERE (grid2_center_lon .LT. zero) grid2_center_lon = & |
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228 | grid2_center_lon + pi2 |
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229 | |
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230 | !----------------------------------------------------------------------- |
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231 | ! |
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232 | ! make sure input latitude range is within the machine values |
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233 | ! for +/- pi/2 |
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234 | ! |
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235 | !----------------------------------------------------------------------- |
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236 | |
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237 | WHERE (grid1_center_lat > pih) grid1_center_lat = pih |
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238 | WHERE (grid1_center_lat < -pih) grid1_center_lat = -pih |
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239 | WHERE (grid2_center_lat > pih) grid2_center_lat = pih |
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240 | WHERE (grid2_center_lat < -pih) grid2_center_lat = -pih |
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241 | |
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242 | !----------------------------------------------------------------------- |
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243 | ! |
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244 | ! compute bounding boxes for restricting future grid searches |
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245 | ! |
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246 | !----------------------------------------------------------------------- |
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247 | ! |
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248 | nx = grid1_dims(1) |
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249 | ny = grid1_dims(2) |
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250 | |
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251 | DO n=1,grid1_size |
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252 | |
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253 | !*** find N,S and NE points to this grid point |
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254 | |
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255 | j = (n - 1)/nx +1 |
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256 | i = n - (j-1)*nx |
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257 | |
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258 | IF (i < nx) THEN |
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259 | ip1 = i + 1 |
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260 | ELSE |
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261 | !*** assume cyclic |
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262 | ip1 = 1 |
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263 | !*** but if it is not, correct |
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264 | e_add = (j - 1)*nx + ip1 |
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265 | IF (ABS(grid1_center_lat(e_add) - & |
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266 | grid1_center_lat(n )) > pih) THEN |
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267 | ip1 = i |
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268 | ENDIF |
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269 | ip1=nx |
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270 | ENDIF |
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271 | |
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272 | IF (j < ny) THEN |
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273 | jp1 = j+1 |
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274 | ELSE |
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275 | !*** assume cyclic |
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276 | jp1 = 1 |
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277 | !*** but if it is not, correct |
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278 | n_add = (jp1 - 1)*nx + i |
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279 | IF (ABS(grid1_center_lat(n_add) - & |
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280 | grid1_center_lat(n )) > pih) THEN |
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281 | jp1 = j |
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282 | ENDIF |
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283 | jp1=ny |
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284 | ENDIF |
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285 | |
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286 | n_add = (jp1 - 1)*nx + i |
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287 | e_add = (j - 1)*nx + ip1 |
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288 | ne_add = (jp1 - 1)*nx + ip1 |
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289 | |
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290 | !*** find N,S and NE lat/lon coords and check bounding box |
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291 | |
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292 | tmp_lats(1) = grid1_center_lat(n) |
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293 | tmp_lats(2) = grid1_center_lat(e_add) |
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294 | tmp_lats(3) = grid1_center_lat(ne_add) |
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295 | tmp_lats(4) = grid1_center_lat(n_add) |
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296 | |
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297 | tmp_lons(1) = grid1_center_lon(n) |
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298 | tmp_lons(2) = grid1_center_lon(e_add) |
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299 | tmp_lons(3) = grid1_center_lon(ne_add) |
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300 | tmp_lons(4) = grid1_center_lon(n_add) |
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301 | |
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302 | grid1_bound_box(1,n) = MINVAL(tmp_lats) |
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303 | grid1_bound_box(2,n) = MAXVAL(tmp_lats) |
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304 | |
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305 | grid1_bound_box(3,n) = MINVAL(tmp_lons) |
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306 | grid1_bound_box(4,n) = MAXVAL(tmp_lons) |
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307 | END DO |
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308 | |
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309 | nx = grid2_dims(1) |
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310 | ny = grid2_dims(2) |
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311 | |
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312 | DO n=1,grid2_size |
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313 | |
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314 | !*** find N,S and NE points to this grid point |
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315 | |
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316 | j = (n - 1)/nx +1 |
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317 | i = n - (j-1)*nx |
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318 | |
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319 | IF (i < nx) THEN |
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320 | ip1 = i + 1 |
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321 | ELSE |
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322 | !*** assume cyclic |
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323 | ip1 = 1 |
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324 | !*** but if it is not, correct |
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325 | e_add = (j - 1)*nx + ip1 |
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326 | IF (ABS(grid2_center_lat(e_add) - & |
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327 | grid2_center_lat(n )) > pih) THEN |
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328 | ip1 = i |
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329 | ENDIF |
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330 | ENDIF |
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331 | |
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332 | IF (j < ny) THEN |
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333 | jp1 = j+1 |
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334 | ELSE |
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335 | !*** assume cyclic |
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336 | jp1 = 1 |
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337 | !*** but if it is not, correct |
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338 | n_add = (jp1 - 1)*nx + i |
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339 | IF (ABS(grid2_center_lat(n_add) - & |
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340 | grid2_center_lat(n )) > pih) THEN |
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341 | jp1 = j |
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342 | ENDIF |
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343 | ENDIF |
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344 | |
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345 | n_add = (jp1 - 1)*nx + i |
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346 | e_add = (j - 1)*nx + ip1 |
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347 | ne_add = (jp1 - 1)*nx + ip1 |
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348 | |
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349 | !*** find N,S and NE lat/lon coords and check bounding box |
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350 | |
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351 | tmp_lats(1) = grid2_center_lat(n) |
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352 | tmp_lats(2) = grid2_center_lat(e_add) |
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353 | tmp_lats(3) = grid2_center_lat(ne_add) |
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354 | tmp_lats(4) = grid2_center_lat(n_add) |
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355 | |
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356 | tmp_lons(1) = grid2_center_lon(n) |
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357 | tmp_lons(2) = grid2_center_lon(e_add) |
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358 | tmp_lons(3) = grid2_center_lon(ne_add) |
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359 | tmp_lons(4) = grid2_center_lon(n_add) |
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360 | |
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361 | grid2_bound_box(1,n) = MINVAL(tmp_lats) |
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362 | grid2_bound_box(2,n) = MAXVAL(tmp_lats) |
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363 | grid2_bound_box(3,n) = MINVAL(tmp_lons) |
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364 | grid2_bound_box(4,n) = MAXVAL(tmp_lons) |
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365 | END DO |
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366 | ! |
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367 | ! |
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368 | ! |
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369 | WHERE (ABS(grid1_bound_box(4,:) - grid1_bound_box(3,:)) > pi) |
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370 | grid1_bound_box(3,:) = zero |
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371 | grid1_bound_box(4,:) = pi2 |
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372 | END WHERE |
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373 | |
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374 | WHERE (ABS(grid2_bound_box(4,:) - grid2_bound_box(3,:)) > pi) |
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375 | grid2_bound_box(3,:) = zero |
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376 | grid2_bound_box(4,:) = pi2 |
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377 | END WHERE |
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378 | |
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379 | !*** |
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380 | !*** try to check for cells that overlap poles |
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381 | !*** |
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382 | |
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383 | WHERE (grid1_center_lat > grid1_bound_box(2,:)) & |
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384 | grid1_bound_box(2,:) = pih |
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385 | |
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386 | WHERE (grid1_center_lat < grid1_bound_box(1,:)) & |
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387 | grid1_bound_box(1,:) = -pih |
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388 | |
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389 | WHERE (grid2_center_lat > grid2_bound_box(2,:)) & |
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390 | grid2_bound_box(2,:) = pih |
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391 | |
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392 | WHERE (grid2_center_lat < grid2_bound_box(1,:)) & |
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393 | grid2_bound_box(1,:) = -pih |
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394 | |
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395 | !----------------------------------------------------------------------- |
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396 | ! set up and assign address ranges to search bins in order to |
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397 | ! further restrict later searches |
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398 | !----------------------------------------------------------------------- |
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399 | |
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400 | ALLOCATE(bin_addr1(2,num_srch_bins)) |
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401 | ALLOCATE(bin_addr2(2,num_srch_bins)) |
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402 | ALLOCATE(bin_lats (2,num_srch_bins)) |
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403 | ALLOCATE(bin_lons (2,num_srch_bins)) |
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404 | |
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405 | dlat = pi/num_srch_bins |
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406 | |
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407 | DO n=1,num_srch_bins |
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408 | bin_lats(1,n) = (n-1)*dlat - pih |
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409 | bin_lats(2,n) = n*dlat - pih |
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410 | bin_lons(1,n) = zero |
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411 | bin_lons(2,n) = pi2 |
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412 | bin_addr1(1,n) = grid1_size + 1 |
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413 | bin_addr1(2,n) = 0 |
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414 | bin_addr2(1,n) = grid2_size + 1 |
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415 | bin_addr2(2,n) = 0 |
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416 | END DO |
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417 | |
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418 | DO nele=1,grid1_size |
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419 | DO n=1,num_srch_bins |
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420 | IF (grid1_bound_box(1,nele) <= bin_lats(2,n) .AND. & |
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421 | grid1_bound_box(2,nele) >= bin_lats(1,n)) THEN |
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422 | bin_addr1(1,n) = MIN(nele,bin_addr1(1,n)) |
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423 | bin_addr1(2,n) = MAX(nele,bin_addr1(2,n)) |
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424 | ENDIF |
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425 | END DO |
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426 | END DO |
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427 | |
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428 | DO nele=1,grid2_size |
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429 | DO n=1,num_srch_bins |
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430 | IF (grid2_bound_box(1,nele) <= bin_lats(2,n) .AND. & |
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431 | grid2_bound_box(2,nele) >= bin_lats(1,n)) THEN |
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432 | bin_addr2(1,n) = MIN(nele,bin_addr2(1,n)) |
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433 | bin_addr2(2,n) = MAX(nele,bin_addr2(2,n)) |
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434 | ENDIF |
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435 | END DO |
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436 | END DO |
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437 | ! |
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438 | CALL init_remap_vars |
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439 | CALL remap_bilin |
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440 | |
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441 | ALLOCATE(remap_matrix(SIZE(wts_map1,1),SIZE(wts_map1,2)), & |
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442 | source_add(SIZE(grid1_add_map1)), & |
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443 | destination_add(SIZE(grid2_add_map1))) |
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444 | |
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445 | DO j = 1,SIZE(wts_map1,2) |
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446 | DO i = 1,SIZE(wts_map1,1) |
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447 | |
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448 | remap_matrix(i,j) = wts_map1(i,j) |
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449 | |
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450 | END DO |
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451 | END DO |
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452 | |
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453 | |
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454 | source_add(:) = grid1_add_map1(:) |
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455 | destination_add(:) = grid2_add_map1(:) |
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456 | ! |
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457 | WHERE(destination_add == 0) |
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458 | destination_add = 1 |
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459 | END WHERE |
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460 | |
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461 | WHERE(source_add == 0) |
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462 | source_add = 1 |
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463 | END WHERE |
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464 | ! |
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465 | DEALLOCATE(grid1_bound_box,grid2_bound_box,grid1_center_lat,grid1_center_lon) |
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466 | DEALLOCATE(grid2_center_lat,grid2_center_lon,grid2_add_map1,grid1_add_map1,wts_map1) |
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467 | DEALLOCATE(grid1_frac,grid2_frac,grid1_dims,grid2_dims,grid2_mask,imask) |
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468 | DEALLOCATE(bin_addr1,bin_addr2,bin_lats,bin_lons) |
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469 | DEALLOCATE(grid1_mask) |
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470 | ! |
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471 | !----------------------------------------------------------------------- |
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472 | |
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473 | END SUBROUTINE get_remap_matrix |
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474 | |
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475 | |
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476 | |
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477 | |
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478 | |
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479 | |
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480 | |
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481 | |
---|
482 | |
---|
483 | |
---|
484 | |
---|
485 | |
---|
486 | |
---|
487 | |
---|
488 | |
---|
489 | |
---|
490 | |
---|
491 | |
---|
492 | |
---|
493 | |
---|
494 | |
---|
495 | |
---|
496 | |
---|
497 | |
---|
498 | !*********************************************************************** |
---|
499 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
500 | !************************************************************************ |
---|
501 | ! SUBROUTINE REMAP_BILINEAR |
---|
502 | !************************************************************************ |
---|
503 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
504 | |
---|
505 | SUBROUTINE remap_bilin |
---|
506 | |
---|
507 | !----------------------------------------------------------------------- |
---|
508 | ! this routine computes the weights for a bilinear interpolation. |
---|
509 | !----------------------------------------------------------------------- |
---|
510 | |
---|
511 | !----------------------------------------------------------------------- |
---|
512 | ! local variables |
---|
513 | !----------------------------------------------------------------------- |
---|
514 | |
---|
515 | INTEGER :: n,icount,dst_add,iter,nmap,nbmasked |
---|
516 | ! |
---|
517 | ! address for the four source points |
---|
518 | ! |
---|
519 | INTEGER, DIMENSION(4) :: src_add,involved_pts |
---|
520 | INTEGER, DIMENSION(1) :: minlon |
---|
521 | INTEGER, DIMENSION(1) :: minlat |
---|
522 | REAL*8, DIMENSION(4) :: distx,disty |
---|
523 | REAL*8 :: normalize |
---|
524 | ! |
---|
525 | ! latitudes longitudes of four bilinear corners |
---|
526 | ! |
---|
527 | REAL*8, DIMENSION(4) :: src_lats,src_lons |
---|
528 | ! |
---|
529 | ! bilinear weights for four corners |
---|
530 | ! |
---|
531 | REAL*8, DIMENSION(4) :: wgts |
---|
532 | ! |
---|
533 | REAL*8 :: & |
---|
534 | plat, plon, & ! lat/lon coords of destination point |
---|
535 | iguess, jguess, & ! current guess for bilinear coordinate |
---|
536 | thguess, phguess, & ! current guess for lat/lon coordinate |
---|
537 | deli, delj, & ! corrections to i,j |
---|
538 | dth1, dth2, dth3, & ! some latitude differences |
---|
539 | dph1, dph2, dph3, & ! some longitude differences |
---|
540 | dthp, dphp, & ! difference between point and sw corner |
---|
541 | mat1, mat2, mat3, mat4, & ! matrix elements |
---|
542 | determinant, & ! matrix determinant |
---|
543 | sum_wgts ! sum of weights for normalization |
---|
544 | |
---|
545 | INTEGER lastsrc_add |
---|
546 | ! |
---|
547 | grid2_mask = .TRUE. |
---|
548 | ! |
---|
549 | ! |
---|
550 | nmap = 1 |
---|
551 | ! |
---|
552 | !*** |
---|
553 | !*** loop over destination grid |
---|
554 | !*** |
---|
555 | ! print*,'grid2_size =',grid2_size |
---|
556 | ! |
---|
557 | lastsrc_add=1 |
---|
558 | ! |
---|
559 | grid_loop1: DO dst_add = 1, grid2_size |
---|
560 | |
---|
561 | IF (.NOT. grid2_mask(dst_add)) CYCLE grid_loop1 |
---|
562 | ! |
---|
563 | plat = grid2_center_lat(dst_add) |
---|
564 | plon = grid2_center_lon(dst_add) |
---|
565 | !*** |
---|
566 | !*** find nearest square of grid points on source grid |
---|
567 | !*** |
---|
568 | CALL grid_search_bilin(src_add, src_lats, src_lons, & |
---|
569 | plat, plon, grid1_dims, & |
---|
570 | grid1_center_lat, grid1_center_lon, & |
---|
571 | grid1_bound_box, bin_addr1, bin_addr2,lastsrc_add) |
---|
572 | !*** |
---|
573 | !*** check to see if points are land points |
---|
574 | !*** |
---|
575 | ! |
---|
576 | IF (src_add(1) > 0) THEN |
---|
577 | ! |
---|
578 | DO n=1,4 |
---|
579 | ! if(.not. grid1_mask(src_add(n))) nbmasked = nbmasked + 1 |
---|
580 | IF(.NOT. grid1_mask(src_add(n))) src_add(1) = 0 |
---|
581 | END DO |
---|
582 | ! |
---|
583 | ENDIF |
---|
584 | ! |
---|
585 | ! |
---|
586 | |
---|
587 | !*** |
---|
588 | !*** if point found, find local i,j coordinates for weights |
---|
589 | !*** |
---|
590 | IF (src_add(1) > 0) THEN |
---|
591 | grid2_frac(dst_add) = one |
---|
592 | !*** |
---|
593 | !*** iterate to find i,j for bilinear approximation |
---|
594 | !*** |
---|
595 | dth1 = src_lats(2) - src_lats(1) |
---|
596 | dth2 = src_lats(4) - src_lats(1) |
---|
597 | dth3 = src_lats(3) - src_lats(2) - dth2 |
---|
598 | |
---|
599 | dph1 = src_lons(2) - src_lons(1) |
---|
600 | dph2 = src_lons(4) - src_lons(1) |
---|
601 | dph3 = src_lons(3) - src_lons(2) |
---|
602 | |
---|
603 | IF (dph1 > three*pih) dph1 = dph1 - pi2 |
---|
604 | IF (dph2 > three*pih) dph2 = dph2 - pi2 |
---|
605 | IF (dph3 > three*pih) dph3 = dph3 - pi2 |
---|
606 | IF (dph1 < -three*pih) dph1 = dph1 + pi2 |
---|
607 | IF (dph2 < -three*pih) dph2 = dph2 + pi2 |
---|
608 | IF (dph3 < -three*pih) dph3 = dph3 + pi2 |
---|
609 | |
---|
610 | dph3 = dph3 - dph2 |
---|
611 | |
---|
612 | iguess = half |
---|
613 | jguess = half |
---|
614 | |
---|
615 | iter_loop1: DO iter=1,max_iter |
---|
616 | |
---|
617 | dthp = plat - src_lats(1) - dth1*iguess - & |
---|
618 | dth2*jguess - dth3*iguess*jguess |
---|
619 | dphp = plon - src_lons(1) |
---|
620 | |
---|
621 | IF (dphp > three*pih) dphp = dphp - pi2 |
---|
622 | IF (dphp < -three*pih) dphp = dphp + pi2 |
---|
623 | |
---|
624 | dphp = dphp - dph1*iguess - dph2*jguess - & |
---|
625 | dph3*iguess*jguess |
---|
626 | |
---|
627 | mat1 = dth1 + dth3*jguess |
---|
628 | mat2 = dth2 + dth3*iguess |
---|
629 | mat3 = dph1 + dph3*jguess |
---|
630 | mat4 = dph2 + dph3*iguess |
---|
631 | |
---|
632 | determinant = mat1*mat4 - mat2*mat3 |
---|
633 | |
---|
634 | deli = (dthp*mat4 - mat2*dphp)/determinant |
---|
635 | delj = (mat1*dphp - dthp*mat3)/determinant |
---|
636 | |
---|
637 | IF (ABS(deli) < converge .AND. & |
---|
638 | ABS(delj) < converge) EXIT iter_loop1 |
---|
639 | |
---|
640 | iguess = iguess + deli |
---|
641 | jguess = jguess + delj |
---|
642 | |
---|
643 | END DO iter_loop1 |
---|
644 | |
---|
645 | IF (iter <= max_iter) THEN |
---|
646 | |
---|
647 | !*** |
---|
648 | !*** successfully found i,j - compute weights |
---|
649 | !*** |
---|
650 | |
---|
651 | wgts(1) = (one-iguess)*(one-jguess) |
---|
652 | wgts(2) = iguess*(one-jguess) |
---|
653 | wgts(3) = iguess*jguess |
---|
654 | wgts(4) = (one-iguess)*jguess |
---|
655 | ! |
---|
656 | ! |
---|
657 | CALL store_link_bilin(dst_add, src_add, wgts, nmap) |
---|
658 | |
---|
659 | ELSE |
---|
660 | PRINT *,'Point coords: ',plat,plon |
---|
661 | PRINT *,'Dest grid lats: ',src_lats |
---|
662 | PRINT *,'Dest grid lons: ',src_lons |
---|
663 | PRINT *,'Dest grid addresses: ',src_add |
---|
664 | PRINT *,'Current i,j : ',iguess, jguess |
---|
665 | STOP 'Iteration for i,j exceed max iteration count' |
---|
666 | ENDIF |
---|
667 | ! |
---|
668 | !*** |
---|
669 | !*** search for bilinear failed - use a distance-weighted |
---|
670 | !*** average instead (this is typically near the pole) |
---|
671 | !*** |
---|
672 | ELSE IF (src_add(1) < 0) THEN |
---|
673 | |
---|
674 | src_add = ABS(src_add) |
---|
675 | icount = 0 |
---|
676 | DO n=1,4 |
---|
677 | ! |
---|
678 | IF (grid1_mask(src_add(n))) THEN |
---|
679 | icount = icount + 1 |
---|
680 | ELSE |
---|
681 | src_lats(n) = zero |
---|
682 | ENDIF |
---|
683 | ! |
---|
684 | END DO |
---|
685 | |
---|
686 | IF (icount > 0) THEN |
---|
687 | ! |
---|
688 | !*** renormalize weights |
---|
689 | ! |
---|
690 | sum_wgts = SUM(src_lats) |
---|
691 | wgts(1) = src_lats(1)/sum_wgts |
---|
692 | wgts(2) = src_lats(2)/sum_wgts |
---|
693 | wgts(3) = src_lats(3)/sum_wgts |
---|
694 | wgts(4) = src_lats(4)/sum_wgts |
---|
695 | ! |
---|
696 | grid2_frac(dst_add) = one |
---|
697 | CALL store_link_bilin(dst_add, src_add, wgts, nmap) |
---|
698 | ENDIF |
---|
699 | |
---|
700 | ! |
---|
701 | ENDIF |
---|
702 | END DO grid_loop1 |
---|
703 | ! |
---|
704 | ! Call sort_add(grid2_add_map1, grid1_add_map1, wts_map1) |
---|
705 | ! |
---|
706 | ! |
---|
707 | !----------------------------------------------------------------------- |
---|
708 | |
---|
709 | END SUBROUTINE remap_bilin |
---|
710 | |
---|
711 | |
---|
712 | |
---|
713 | |
---|
714 | |
---|
715 | |
---|
716 | |
---|
717 | |
---|
718 | |
---|
719 | |
---|
720 | |
---|
721 | |
---|
722 | |
---|
723 | |
---|
724 | |
---|
725 | |
---|
726 | |
---|
727 | |
---|
728 | !*********************************************************************** |
---|
729 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
730 | !************************************************************************ |
---|
731 | ! SUBROUTINE GRID_SEARCH_BILIN |
---|
732 | !************************************************************************ |
---|
733 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
734 | ! |
---|
735 | SUBROUTINE grid_search_bilin(src_add, src_lats, src_lons, & |
---|
736 | plat, plon, src_grid_dims, & |
---|
737 | src_center_lat, src_center_lon, & |
---|
738 | src_grid_bound_box, & |
---|
739 | src_bin_add, dst_bin_add,lastsrc_add) |
---|
740 | |
---|
741 | !----------------------------------------------------------------------- |
---|
742 | ! |
---|
743 | ! this routine finds the location of the search point plat, plon |
---|
744 | ! in the source grid and returns the corners needed for a bilinear |
---|
745 | ! interpolation. |
---|
746 | ! |
---|
747 | !----------------------------------------------------------------------- |
---|
748 | |
---|
749 | !----------------------------------------------------------------------- |
---|
750 | ! output variables |
---|
751 | !----------------------------------------------------------------------- |
---|
752 | ! |
---|
753 | ! address of each corner point enclosing P |
---|
754 | ! |
---|
755 | INTEGER,DIMENSION(4) :: src_add |
---|
756 | REAL*8,DIMENSION(4) :: src_lats,src_lons |
---|
757 | ! |
---|
758 | !----------------------------------------------------------------------- |
---|
759 | ! input variables |
---|
760 | !----------------------------------------------------------------------- |
---|
761 | ! |
---|
762 | ! latitude, longitude of the search point |
---|
763 | ! |
---|
764 | REAL*8, INTENT(in) :: plat,plon |
---|
765 | ! |
---|
766 | ! size of each src grid dimension |
---|
767 | ! |
---|
768 | INTEGER, DIMENSION(2), INTENT(in) :: src_grid_dims |
---|
769 | ! |
---|
770 | ! latitude, longitude of each src grid center |
---|
771 | ! |
---|
772 | REAL*8, DIMENSION(:), INTENT(in) :: src_center_lat,src_center_lon |
---|
773 | ! |
---|
774 | ! bound box for source grid |
---|
775 | ! |
---|
776 | REAL*8, DIMENSION(:,:), INTENT(in) :: src_grid_bound_box |
---|
777 | ! |
---|
778 | ! latitude bins for restricting searches |
---|
779 | ! |
---|
780 | INTEGER, DIMENSION(:,:), INTENT(in) ::src_bin_add,dst_bin_add |
---|
781 | |
---|
782 | INTEGER,OPTIONAL :: lastsrc_add |
---|
783 | INTEGER :: loopsrc,l1,l2 |
---|
784 | ! |
---|
785 | !----------------------------------------------------------------------- |
---|
786 | ! local variables |
---|
787 | !----------------------------------------------------------------------- |
---|
788 | ! |
---|
789 | INTEGER :: n,next_n,srch_add,nx, ny,min_add, max_add, & |
---|
790 | i, j, jp1, ip1, n_add, e_add, ne_add |
---|
791 | |
---|
792 | |
---|
793 | REAL*8 :: vec1_lat, vec1_lon,vec2_lat, vec2_lon, cross_product, & |
---|
794 | cross_product_last,coslat_dst, sinlat_dst, coslon_dst, & |
---|
795 | sinlon_dst,dist_min, distance |
---|
796 | |
---|
797 | !----------------------------------------------------------------------- |
---|
798 | ! restrict search first using bins |
---|
799 | !----------------------------------------------------------------------- |
---|
800 | |
---|
801 | src_add = 0 |
---|
802 | |
---|
803 | min_add = SIZE(src_center_lat) |
---|
804 | max_add = 1 |
---|
805 | DO n=1,num_srch_bins |
---|
806 | IF (plat >= bin_lats(1,n) .AND. plat <= bin_lats(2,n) .AND. & |
---|
807 | plon >= bin_lons(1,n) .AND. plon <= bin_lons(2,n)) THEN |
---|
808 | min_add = MIN(min_add, src_bin_add(1,n)) |
---|
809 | max_add = MAX(max_add, src_bin_add(2,n)) |
---|
810 | ENDIF |
---|
811 | END DO |
---|
812 | |
---|
813 | !----------------------------------------------------------------------- |
---|
814 | ! now perform a more detailed search |
---|
815 | !----------------------------------------------------------------------- |
---|
816 | |
---|
817 | nx = src_grid_dims(1) |
---|
818 | ny = src_grid_dims(2) |
---|
819 | |
---|
820 | loopsrc=0 |
---|
821 | DO WHILE (loopsrc <= max_add) |
---|
822 | |
---|
823 | |
---|
824 | l1=MAX(min_add,lastsrc_add-loopsrc) |
---|
825 | l2=MIN(max_add,lastsrc_add+loopsrc) |
---|
826 | |
---|
827 | loopsrc = loopsrc+1 |
---|
828 | |
---|
829 | srch_loop: DO srch_add = l1,l2,MAX(l2-l1,1) |
---|
830 | |
---|
831 | !*** first check bounding box |
---|
832 | |
---|
833 | IF (plat <= src_grid_bound_box(2,srch_add) .AND. & |
---|
834 | plat >= src_grid_bound_box(1,srch_add) .AND. & |
---|
835 | plon <= src_grid_bound_box(4,srch_add) .AND. & |
---|
836 | plon >= src_grid_bound_box(3,srch_add)) THEN |
---|
837 | !*** |
---|
838 | !*** we are within bounding box so get really serious |
---|
839 | !*** |
---|
840 | !*** determine neighbor addresses |
---|
841 | ! |
---|
842 | j = (srch_add - 1)/nx +1 |
---|
843 | i = srch_add - (j-1)*nx |
---|
844 | ! |
---|
845 | IF (i < nx) THEN |
---|
846 | ip1 = i + 1 |
---|
847 | ELSE |
---|
848 | ip1 = 1 |
---|
849 | ENDIF |
---|
850 | ! |
---|
851 | IF (j < ny) THEN |
---|
852 | jp1 = j+1 |
---|
853 | ELSE |
---|
854 | jp1 = 1 |
---|
855 | ENDIF |
---|
856 | ! |
---|
857 | n_add = (jp1 - 1)*nx + i |
---|
858 | e_add = (j - 1)*nx + ip1 |
---|
859 | ne_add = (jp1 - 1)*nx + ip1 |
---|
860 | ! |
---|
861 | src_lats(1) = src_center_lat(srch_add) |
---|
862 | src_lats(2) = src_center_lat(e_add) |
---|
863 | src_lats(3) = src_center_lat(ne_add) |
---|
864 | src_lats(4) = src_center_lat(n_add) |
---|
865 | ! |
---|
866 | src_lons(1) = src_center_lon(srch_add) |
---|
867 | src_lons(2) = src_center_lon(e_add) |
---|
868 | src_lons(3) = src_center_lon(ne_add) |
---|
869 | src_lons(4) = src_center_lon(n_add) |
---|
870 | ! |
---|
871 | !*** |
---|
872 | !*** for consistency, we must make sure all lons are in |
---|
873 | !*** same 2pi interval |
---|
874 | !*** |
---|
875 | ! |
---|
876 | vec1_lon = src_lons(1) - plon |
---|
877 | IF (vec1_lon > pi) THEN |
---|
878 | src_lons(1) = src_lons(1) - pi2 |
---|
879 | ELSE IF (vec1_lon < -pi) THEN |
---|
880 | src_lons(1) = src_lons(1) + pi2 |
---|
881 | ENDIF |
---|
882 | DO n=2,4 |
---|
883 | vec1_lon = src_lons(n) - src_lons(1) |
---|
884 | IF (vec1_lon > pi) THEN |
---|
885 | src_lons(n) = src_lons(n) - pi2 |
---|
886 | ELSE IF (vec1_lon < -pi) THEN |
---|
887 | src_lons(n) = src_lons(n) + pi2 |
---|
888 | ENDIF |
---|
889 | END DO |
---|
890 | ! |
---|
891 | corner_loop: DO n=1,4 |
---|
892 | next_n = MOD(n,4) + 1 |
---|
893 | !*** |
---|
894 | !*** here we take the cross product of the vector making |
---|
895 | !*** up each box side with the vector formed by the vertex |
---|
896 | !*** and search point. if all the cross products are |
---|
897 | !*** positive, the point is contained in the box. |
---|
898 | !*** |
---|
899 | vec1_lat = src_lats(next_n) - src_lats(n) |
---|
900 | vec1_lon = src_lons(next_n) - src_lons(n) |
---|
901 | vec2_lat = plat - src_lats(n) |
---|
902 | vec2_lon = plon - src_lons(n) |
---|
903 | !*** |
---|
904 | !*** check for 0,2pi crossings |
---|
905 | !*** |
---|
906 | IF (vec1_lon > three*pih) THEN |
---|
907 | vec1_lon = vec1_lon - pi2 |
---|
908 | ELSE IF (vec1_lon < -three*pih) THEN |
---|
909 | vec1_lon = vec1_lon + pi2 |
---|
910 | ENDIF |
---|
911 | IF (vec2_lon > three*pih) THEN |
---|
912 | vec2_lon = vec2_lon - pi2 |
---|
913 | ELSE IF (vec2_lon < -three*pih) THEN |
---|
914 | vec2_lon = vec2_lon + pi2 |
---|
915 | ENDIF |
---|
916 | ! |
---|
917 | cross_product = vec1_lon*vec2_lat - vec2_lon*vec1_lat |
---|
918 | ! |
---|
919 | !*** |
---|
920 | !*** if cross product is less than zero, this cell |
---|
921 | !*** doesn't work |
---|
922 | !*** |
---|
923 | IF (n == 1) cross_product_last = cross_product |
---|
924 | IF (cross_product*cross_product_last < zero) & |
---|
925 | EXIT corner_loop |
---|
926 | cross_product_last = cross_product |
---|
927 | ! |
---|
928 | END DO corner_loop |
---|
929 | !*** |
---|
930 | !*** if cross products all same sign, we found the location |
---|
931 | !*** |
---|
932 | IF (n > 4) THEN |
---|
933 | src_add(1) = srch_add |
---|
934 | src_add(2) = e_add |
---|
935 | src_add(3) = ne_add |
---|
936 | src_add(4) = n_add |
---|
937 | ! |
---|
938 | lastsrc_add = srch_add |
---|
939 | RETURN |
---|
940 | ENDIF |
---|
941 | !*** |
---|
942 | !*** otherwise move on to next cell |
---|
943 | !*** |
---|
944 | ENDIF !bounding box check |
---|
945 | END DO srch_loop |
---|
946 | |
---|
947 | |
---|
948 | ENDDO |
---|
949 | |
---|
950 | |
---|
951 | !*** |
---|
952 | !*** if no cell found, point is likely either in a box that |
---|
953 | !*** straddles either pole or is outside the grid. fall back |
---|
954 | !*** to a distance-weighted average of the four closest |
---|
955 | !*** points. go ahead and compute weights here, but store |
---|
956 | !*** in src_lats and return -add to prevent the parent |
---|
957 | !*** routine from computing bilinear weights |
---|
958 | !*** |
---|
959 | !print *,'Could not find location for ',plat,plon |
---|
960 | !print *,'Using nearest-neighbor average for this point' |
---|
961 | ! |
---|
962 | coslat_dst = COS(plat) |
---|
963 | sinlat_dst = SIN(plat) |
---|
964 | coslon_dst = COS(plon) |
---|
965 | sinlon_dst = SIN(plon) |
---|
966 | ! |
---|
967 | dist_min = bignum |
---|
968 | src_lats = bignum |
---|
969 | DO srch_add = min_add,max_add |
---|
970 | distance = ACOS(coslat_dst*COS(src_center_lat(srch_add))* & |
---|
971 | (coslon_dst*COS(src_center_lon(srch_add)) + & |
---|
972 | sinlon_dst*SIN(src_center_lon(srch_add)))+ & |
---|
973 | sinlat_dst*SIN(src_center_lat(srch_add))) |
---|
974 | |
---|
975 | IF (distance < dist_min) THEN |
---|
976 | sort_loop: DO n=1,4 |
---|
977 | IF (distance < src_lats(n)) THEN |
---|
978 | DO i=4,n+1,-1 |
---|
979 | src_add (i) = src_add (i-1) |
---|
980 | src_lats(i) = src_lats(i-1) |
---|
981 | END DO |
---|
982 | src_add (n) = -srch_add |
---|
983 | src_lats(n) = distance |
---|
984 | dist_min = src_lats(4) |
---|
985 | EXIT sort_loop |
---|
986 | ENDIF |
---|
987 | END DO sort_loop |
---|
988 | ENDIF |
---|
989 | END DO |
---|
990 | ! |
---|
991 | src_lons = one/(src_lats + tiny) |
---|
992 | distance = SUM(src_lons) |
---|
993 | src_lats = src_lons/distance |
---|
994 | |
---|
995 | !----------------------------------------------------------------------- |
---|
996 | |
---|
997 | END SUBROUTINE grid_search_bilin |
---|
998 | |
---|
999 | |
---|
1000 | !*********************************************************************** |
---|
1001 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1002 | !************************************************************************ |
---|
1003 | ! SUBROUTINE STORE_LINK_BILIN |
---|
1004 | !************************************************************************ |
---|
1005 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1006 | |
---|
1007 | SUBROUTINE store_link_bilin(dst_add, src_add, weights, nmap) |
---|
1008 | |
---|
1009 | !----------------------------------------------------------------------- |
---|
1010 | ! this routine stores the address and weight for four links |
---|
1011 | ! associated with one destination point in the appropriate address |
---|
1012 | ! and weight arrays and resizes those arrays if necessary. |
---|
1013 | !----------------------------------------------------------------------- |
---|
1014 | |
---|
1015 | !----------------------------------------------------------------------- |
---|
1016 | ! input variables |
---|
1017 | !----------------------------------------------------------------------- |
---|
1018 | ! |
---|
1019 | INTEGER :: dst_add,nmap |
---|
1020 | ! |
---|
1021 | INTEGER, DIMENSION(4) :: src_add |
---|
1022 | ! |
---|
1023 | REAL*8, DIMENSION(4) :: weights |
---|
1024 | |
---|
1025 | !----------------------------------------------------------------------- |
---|
1026 | ! |
---|
1027 | ! local variables |
---|
1028 | ! |
---|
1029 | !----------------------------------------------------------------------- |
---|
1030 | |
---|
1031 | INTEGER :: n,num_links_old |
---|
1032 | |
---|
1033 | !----------------------------------------------------------------------- |
---|
1034 | ! increment number of links and check to see if remap arrays need |
---|
1035 | ! to be increased to accomodate the new link. then store the |
---|
1036 | ! link. |
---|
1037 | !----------------------------------------------------------------------- |
---|
1038 | |
---|
1039 | num_links_old = num_links_map1 |
---|
1040 | num_links_map1 = num_links_old + 4 |
---|
1041 | |
---|
1042 | IF (num_links_map1 > max_links_map1) & |
---|
1043 | CALL resize_remap_vars(1,resize_increment) |
---|
1044 | |
---|
1045 | DO n=1,4 |
---|
1046 | grid1_add_map1(num_links_old+n) = src_add(n) |
---|
1047 | grid2_add_map1(num_links_old+n) = dst_add |
---|
1048 | wts_map1 (1,num_links_old+n) = weights(n) |
---|
1049 | END DO |
---|
1050 | |
---|
1051 | !----------------------------------------------------------------------- |
---|
1052 | |
---|
1053 | END SUBROUTINE store_link_bilin |
---|
1054 | |
---|
1055 | |
---|
1056 | |
---|
1057 | |
---|
1058 | |
---|
1059 | |
---|
1060 | |
---|
1061 | |
---|
1062 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1063 | !************************************************************************ |
---|
1064 | ! SUBROUTINE INIT_REMAP_VARS |
---|
1065 | !************************************************************************ |
---|
1066 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1067 | ! |
---|
1068 | SUBROUTINE init_remap_vars |
---|
1069 | |
---|
1070 | !----------------------------------------------------------------------- |
---|
1071 | ! |
---|
1072 | ! this routine initializes some variables and provides an initial |
---|
1073 | ! allocation of arrays (fairly large so frequent resizing |
---|
1074 | ! unnecessary). |
---|
1075 | ! |
---|
1076 | !----------------------------------------------------------------------- |
---|
1077 | |
---|
1078 | !----------------------------------------------------------------------- |
---|
1079 | ! determine the number of weights |
---|
1080 | !----------------------------------------------------------------------- |
---|
1081 | num_wts = 1 ! bilinear interpolation |
---|
1082 | !----------------------------------------------------------------------- |
---|
1083 | ! initialize num_links and set max_links to four times the largest |
---|
1084 | ! of the destination grid sizes initially (can be changed later). |
---|
1085 | ! set a default resize increment to increase the size of link |
---|
1086 | ! arrays if the number of links exceeds the initial size |
---|
1087 | !----------------------------------------------------------------------- |
---|
1088 | |
---|
1089 | num_links_map1 = 0 |
---|
1090 | max_links_map1 = 4*grid2_size |
---|
1091 | IF (num_maps > 1) THEN |
---|
1092 | num_links_map2 = 0 |
---|
1093 | max_links_map1 = MAX(4*grid1_size,4*grid2_size) |
---|
1094 | max_links_map2 = max_links_map1 |
---|
1095 | ENDIF |
---|
1096 | |
---|
1097 | resize_increment = 0.1*MAX(grid1_size,grid2_size) |
---|
1098 | |
---|
1099 | !----------------------------------------------------------------------- |
---|
1100 | ! allocate address and weight arrays for mapping 1 |
---|
1101 | !----------------------------------------------------------------------- |
---|
1102 | |
---|
1103 | ALLOCATE (grid1_add_map1(max_links_map1), & |
---|
1104 | grid2_add_map1(max_links_map1), & |
---|
1105 | wts_map1(num_wts, max_links_map1)) |
---|
1106 | |
---|
1107 | grid1_add_map1 = 0. |
---|
1108 | grid2_add_map1 = 0. |
---|
1109 | wts_map1 = 0. |
---|
1110 | |
---|
1111 | !----------------------------------------------------------------------- |
---|
1112 | |
---|
1113 | END SUBROUTINE init_remap_vars |
---|
1114 | |
---|
1115 | |
---|
1116 | |
---|
1117 | |
---|
1118 | |
---|
1119 | |
---|
1120 | |
---|
1121 | |
---|
1122 | |
---|
1123 | |
---|
1124 | |
---|
1125 | |
---|
1126 | |
---|
1127 | |
---|
1128 | !*********************************************************************** |
---|
1129 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1130 | !************************************************************************ |
---|
1131 | ! SUBROUTINE RESIZE_REMAP_VAR |
---|
1132 | !************************************************************************ |
---|
1133 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1134 | |
---|
1135 | SUBROUTINE resize_remap_vars(nmap, increment) |
---|
1136 | |
---|
1137 | !----------------------------------------------------------------------- |
---|
1138 | ! this routine resizes remapping arrays by increasing(decreasing) |
---|
1139 | ! the max_links by increment |
---|
1140 | !----------------------------------------------------------------------- |
---|
1141 | |
---|
1142 | !----------------------------------------------------------------------- |
---|
1143 | ! input variables |
---|
1144 | !----------------------------------------------------------------------- |
---|
1145 | |
---|
1146 | INTEGER :: & |
---|
1147 | nmap, & ! identifies which mapping array to resize |
---|
1148 | increment ! the number of links to add(subtract) to arrays |
---|
1149 | |
---|
1150 | !----------------------------------------------------------------------- |
---|
1151 | ! local variables |
---|
1152 | !----------------------------------------------------------------------- |
---|
1153 | |
---|
1154 | INTEGER :: & |
---|
1155 | ierr, & ! error flag |
---|
1156 | mxlinks ! size of link arrays |
---|
1157 | |
---|
1158 | INTEGER, DIMENSION(:), POINTER :: & |
---|
1159 | add1_tmp, & ! temp array for resizing address arrays |
---|
1160 | add2_tmp ! temp array for resizing address arrays |
---|
1161 | ! |
---|
1162 | ! temp array for resizing weight arrays |
---|
1163 | ! |
---|
1164 | REAL*8, DIMENSION(:,:), POINTER :: wts_tmp |
---|
1165 | ! |
---|
1166 | !----------------------------------------------------------------------- |
---|
1167 | !*** |
---|
1168 | !*** allocate temporaries to hold original values |
---|
1169 | !*** |
---|
1170 | mxlinks = SIZE(grid1_add_map1) |
---|
1171 | ALLOCATE (add1_tmp(mxlinks), add2_tmp(mxlinks), & |
---|
1172 | wts_tmp(num_wts,mxlinks)) |
---|
1173 | |
---|
1174 | add1_tmp = grid1_add_map1 |
---|
1175 | add2_tmp = grid2_add_map1 |
---|
1176 | wts_tmp = wts_map1 |
---|
1177 | |
---|
1178 | !*** |
---|
1179 | !*** deallocate originals and increment max_links then |
---|
1180 | !*** reallocate arrays at new size |
---|
1181 | !*** |
---|
1182 | |
---|
1183 | DEALLOCATE (grid1_add_map1, grid2_add_map1, wts_map1) |
---|
1184 | max_links_map1 = mxlinks + increment |
---|
1185 | ALLOCATE (grid1_add_map1(max_links_map1), & |
---|
1186 | grid2_add_map1(max_links_map1), & |
---|
1187 | wts_map1(num_wts,max_links_map1)) |
---|
1188 | !*** |
---|
1189 | !*** restore original values from temp arrays and |
---|
1190 | !*** deallocate temps |
---|
1191 | !*** |
---|
1192 | mxlinks = MIN(mxlinks, max_links_map1) |
---|
1193 | grid1_add_map1(1:mxlinks) = add1_tmp (1:mxlinks) |
---|
1194 | grid2_add_map1(1:mxlinks) = add2_tmp (1:mxlinks) |
---|
1195 | wts_map1 (:,1:mxlinks) = wts_tmp(:,1:mxlinks) |
---|
1196 | DEALLOCATE(add1_tmp, add2_tmp, wts_tmp) |
---|
1197 | |
---|
1198 | !----------------------------------------------------------------------- |
---|
1199 | ! |
---|
1200 | END SUBROUTINE resize_remap_vars |
---|
1201 | ! |
---|
1202 | !************************************************************************ |
---|
1203 | ! |
---|
1204 | END MODULE bilinear_interp |
---|
1205 | |
---|
1206 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1207 | |
---|