1 | subroutine gradient_bicubic(NX1, NY1, ibeg, jbeg, iloc, jloc, & |
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2 | cl_grd_src, id_per, cd_per, w_unit, & |
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3 | local_gradient_i, local_gradient_j, local_gradient_ij, file_debug) |
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4 | ! |
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5 | !**** *gradient_bicubic* - calculate gradients for bicubic remapping |
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6 | ! |
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7 | ! Purpose: |
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8 | ! ------- |
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9 | ! Calculation of gradients for bicubic interpolation. In contrast to |
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10 | ! the gradients of conservative remapping, these gradients are |
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11 | ! calculated with respect to grid rows and grid lines. |
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12 | ! |
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13 | !** Interface: |
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14 | ! --------- |
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15 | ! *CALL* *gradient_bicubic*(NX1, NY1, ibeg, jbeg, iloc, jloc, |
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16 | ! cl_grd_src, id_per, cd_per, w_unit, |
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17 | ! local_gradient_i, local_gradient_j, local_gradient_ij, file_debug) |
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18 | ! |
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19 | ! Input: |
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20 | ! ----- |
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21 | ! NX1 : grid global dimension in x-direction (integer) |
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22 | ! NY1 : grid global dimension in y-direction (integer) |
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23 | ! ibeg : start of local domain in global domain in x-direction |
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24 | ! jbeg : start of local domain in global domain in y-direction |
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25 | ! iloc : grid local dimension in x-direction (integer) |
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26 | ! jloc : grid local dimension in y-direction (integer) |
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27 | ! cl_grd_src : grid acronym |
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28 | ! id_per : number of overlapping points for source grid |
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29 | ! cd_per : grip periodicity type |
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30 | ! w_unit : log file unit |
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31 | ! file_debug : logical for activating debug outputs |
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32 | ! |
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33 | ! Output: |
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34 | ! ------ |
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35 | ! local_gradient_i : gradient in i-direction (real 2D) |
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36 | ! local_gradient_j : gradient in j-direction (real 2D) |
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37 | ! local_gradient_ij : gradient in ij-direction (real 2D) |
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38 | ! |
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39 | ! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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40 | ! |
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41 | USE read_all_data |
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42 | USE function_ana |
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43 | ! |
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44 | IMPLICIT NONE |
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45 | |
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46 | INTEGER, PARAMETER :: wp = SELECTED_REAL_KIND(12,307) ! double |
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47 | !----------------------------------------------------------------------- |
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48 | ! INTENT(IN) |
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49 | !----------------------------------------------------------------------- |
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50 | INTEGER, INTENT(IN) :: & |
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51 | NX1, NY1, & ! source grid global dimensions |
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52 | ibeg, jbeg, & ! source grid local start |
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53 | iloc, jloc ! source grid local dimensions |
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54 | |
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55 | CHARACTER(len=4), INTENT(IN) :: & |
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56 | cl_grd_src ! grid acronym |
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57 | |
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58 | INTEGER, INTENT(IN) :: & |
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59 | id_per, & ! nbr of overlapping grid points |
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60 | w_unit ! log file |
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61 | |
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62 | CHARACTER(len=8), INTENT(IN) :: & |
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63 | cd_per ! grip periodicity type |
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64 | |
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65 | LOGICAL, INTENT(IN) :: file_debug |
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66 | ! |
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67 | !----------------------------------------------------------------------- |
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68 | ! INTENT(OUT) |
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69 | !----------------------------------------------------------------------- |
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70 | REAL (kind=wp), DIMENSION(iloc, jloc), INTENT(OUT) :: & |
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71 | local_gradient_i, & ! gradient in i-direction (real 2D) |
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72 | local_gradient_j, & ! gradient in j-direction (real 2D) |
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73 | local_gradient_ij ! gradient in ij-direction (real 2D) |
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74 | |
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75 | !----------------------------------------------------------------------- |
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76 | ! LOCAL VARIABLES |
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77 | !----------------------------------------------------------------------- |
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78 | INTEGER :: & |
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79 | i, j, & ! looping indicees |
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80 | ip1, jp1, im1, jm1, iend, jend |
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81 | |
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82 | REAL (kind=wp) :: & |
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83 | di, dj, & ! factor depending on grid cell distance |
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84 | gradient_ij1, & ! gradient needed to calculate gradient_ij |
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85 | gradient_ij2 ! gradient needed to calculate gradient_ij |
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86 | |
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87 | REAL (kind=wp), DIMENSION(:,:), POINTER :: & |
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88 | src_lon, & ! source grid longitudes [radiants] |
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89 | src_lat, & ! source grid latitudes [radiants] |
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90 | src_array, & ! analytical field |
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91 | gradient_i, & ! global gradient in i-direction (real 2D) |
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92 | gradient_j, & ! global gradient in j-direction (real 2D) |
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93 | gradient_ij ! global gradient in ij-direction (real 2D) |
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94 | |
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95 | INTEGER, DIMENSION(:,:), POINTER :: & |
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96 | sou_mask ! source grid mask |
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97 | |
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98 | INTEGER, PARAMETER :: il_maskval= 1 ! in our grids sea_value = 0 and land_value = 1 |
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99 | |
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100 | !---------------------------------------------------------------------- |
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101 | ! |
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102 | ! Read global grid and global mask |
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103 | ! -------------------------------- |
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104 | ALLOCATE(src_lon(NX1, NY1)) |
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105 | ALLOCATE(src_lat(NX1, NY1)) |
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106 | CALL read_grid(NX1, NY1, 1, 1, NX1, NY1, cl_grd_src, w_unit, src_lon, src_lat, file_debug) |
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107 | ! |
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108 | ALLOCATE(sou_mask(NX1, NY1)) |
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109 | CALL read_mask(NX1, NY1, 1, 1, NX1, NY1, cl_grd_src, w_unit, sou_mask, file_debug) |
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110 | |
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111 | ! Global field from analytical function |
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112 | ! ------------------------------------- |
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113 | ALLOCATE(src_array(NX1, NY1)) |
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114 | #ifdef FANA1 |
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115 | CALL function_ana1(NX1, NY1, src_lon, src_lat, src_array) |
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116 | #elif defined FANA2 |
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117 | CALL function_ana2(NX1, NY1, src_lon, src_lat, src_array) |
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118 | #elif defined FANA3 |
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119 | CALL function_ana3(NX1, NY1, src_lon, src_lat, src_array) |
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120 | #endif |
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121 | |
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122 | ! Global gradient allocation |
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123 | ! -------------------------- |
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124 | ALLOCATE(gradient_i(NX1, NY1)) |
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125 | ALLOCATE(gradient_j(NX1, NY1)) |
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126 | ALLOCATE(gradient_ij(NX1, NY1)) |
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127 | |
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128 | ! Initialization |
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129 | ! -------------- |
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130 | gradient_i = 0. |
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131 | gradient_j = 0. |
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132 | gradient_ij = 0. |
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133 | |
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134 | ! calculate gradients |
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135 | ! ------------------- |
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136 | DO i = 1, NX1 |
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137 | DO j = 1, NY1 |
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138 | |
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139 | IF (sou_mask (i,j) /= il_maskval) THEN |
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140 | |
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141 | di = 0.5 |
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142 | dj = 0.5 |
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143 | |
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144 | ip1 = i + 1 |
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145 | im1 = i - 1 |
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146 | IF (i == NX1) THEN |
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147 | IF (cd_per == 'P') ip1 = 1 + id_per ! the 0-meridian |
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148 | IF (cd_per == 'R') ip1 = NX1 |
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149 | ENDIF |
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150 | IF (i == 1 ) THEN |
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151 | IF (cd_per == 'P') im1 = NX1 - id_per |
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152 | IF (cd_per == 'R') im1 = 1 |
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153 | ENDIF |
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154 | jp1 = j + 1 |
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155 | jm1 = j - 1 |
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156 | IF (j == NY1) THEN ! treatment of the last.. |
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157 | jp1 = NY1 |
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158 | dj = 1. |
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159 | ENDIF |
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160 | IF (j == 1 ) THEN ! .. and the first grid-row |
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161 | jm1 = 1 |
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162 | dj = 1. |
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163 | ENDIF |
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164 | |
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165 | |
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166 | ! gradient i |
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167 | ! ---------- |
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168 | IF (sou_mask(ip1,j) /= il_maskval .OR. & |
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169 | sou_mask(im1,j) /= il_maskval) THEN |
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170 | IF (sou_mask(ip1,j) == il_maskval) THEN |
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171 | ip1 = i |
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172 | di = 1. |
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173 | ELSE IF (sou_mask(im1,j) == il_maskval) THEN |
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174 | im1 = i |
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175 | di = 1. |
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176 | ENDIF |
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177 | gradient_i(i,j) = di * (src_array(ip1,j) - src_array(im1,j)) |
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178 | ENDIF |
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179 | |
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180 | ! gradient j |
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181 | ! ---------- |
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182 | IF (sou_mask(i,jp1) /= il_maskval .OR. & |
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183 | sou_mask(i,jm1) /= il_maskval) THEN |
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184 | IF (sou_mask(i,jp1) == il_maskval) THEN |
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185 | jp1 = j |
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186 | dj = 1. |
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187 | ELSE IF (sou_mask(i,jm1) == il_maskval) THEN |
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188 | jm1 = j |
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189 | dj = 1. |
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190 | ENDIF |
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191 | gradient_j(i,j) = dj * (src_array(i,jp1) - src_array(i,jm1)) |
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192 | ENDIF |
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193 | ! |
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194 | ! gradient ij |
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195 | ! ----------- |
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196 | di = 0.5 |
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197 | dj = 0.5 |
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198 | ip1 = i + 1 |
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199 | im1 = i - 1 |
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200 | IF (i == NX1) THEN |
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201 | IF (cd_per == 'P') ip1 = 1 + id_per ! the 0-meridian |
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202 | IF (cd_per == 'R') ip1 = NX1 |
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203 | ENDIF |
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204 | IF (i == 1 ) THEN |
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205 | IF (cd_per == 'P') im1 = NX1 - id_per |
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206 | IF (cd_per == 'R') im1 = 1 |
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207 | ENDIF |
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208 | jp1 = j + 1 |
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209 | jm1 = j - 1 |
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210 | IF (j == NY1) THEN ! treatment of the last.. |
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211 | jp1 = NY1 |
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212 | dj = 1. |
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213 | ENDIF |
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214 | IF (j == 1 ) THEN ! .. and the first grid-row |
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215 | jm1 = 1 |
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216 | dj = 1. |
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217 | ENDIF |
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218 | |
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219 | gradient_ij1 = 0. |
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220 | IF (sou_mask(ip1,jp1) /= il_maskval .OR. & |
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221 | sou_mask(im1,jp1) /= il_maskval) THEN |
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222 | IF (sou_mask(ip1,jp1) == il_maskval .AND. & |
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223 | sou_mask(i,jp1) /= il_maskval) THEN |
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224 | ip1 = i |
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225 | di = 1. |
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226 | ELSE IF (sou_mask(im1,jp1) == il_maskval .AND. & |
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227 | sou_mask(i,jp1) /= il_maskval) THEN |
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228 | im1 = i |
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229 | di = 1. |
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230 | ELSE |
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231 | di = 0. |
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232 | ENDIF |
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233 | gradient_ij1 = di * (src_array(ip1,jp1) - src_array(im1,jp1)) |
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234 | ENDIF |
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235 | |
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236 | di = 0.5 |
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237 | ip1 = i + 1 |
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238 | im1 = i - 1 |
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239 | IF (i == NX1) THEN |
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240 | IF (cd_per == 'P') ip1 = 1 + id_per ! the 0-meridian |
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241 | IF (cd_per == 'R') ip1 = NX1 |
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242 | ENDIF |
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243 | IF (i == 1) THEN |
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244 | IF (cd_per == 'P') im1 = NX1 - id_per |
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245 | IF (cd_per == 'R') im1 = 1 |
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246 | ENDIF |
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247 | gradient_ij2 = 0. |
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248 | IF (sou_mask(ip1,jm1) /= il_maskval .OR. & |
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249 | sou_mask(im1,jm1) /= il_maskval) THEN |
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250 | IF (sou_mask(ip1,jm1) == il_maskval .AND. & |
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251 | sou_mask(i,jm1) /= il_maskval) THEN |
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252 | ip1 = i |
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253 | di = 1. |
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254 | ELSE IF (sou_mask(im1,jm1) == il_maskval .AND. & |
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255 | sou_mask(i,jm1) /= il_maskval) THEN |
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256 | im1 = i |
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257 | di = 1. |
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258 | ELSE |
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259 | di = 0. |
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260 | ENDIF |
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261 | gradient_ij2 = di * (src_array(ip1,jm1) - src_array(im1,jm1)) |
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262 | ENDIF |
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263 | |
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264 | IF (gradient_ij1 /= 0. .AND. gradient_ij2 /= 0.) THEN |
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265 | gradient_ij(i,j) = dj * (gradient_ij1 - gradient_ij2) |
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266 | ENDIF |
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267 | ENDIF |
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268 | |
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269 | ENDDO |
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270 | ENDDO |
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271 | ! |
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272 | iend = ibeg+iloc-1 |
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273 | jend = jbeg+jloc-1 |
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274 | local_gradient_i = gradient_i(ibeg:iend, jbeg:jend) |
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275 | local_gradient_j = gradient_j(ibeg:iend, jbeg:jend) |
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276 | local_gradient_ij = gradient_ij(ibeg:iend, jbeg:jend) |
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277 | ! |
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278 | END SUBROUTINE gradient_bicubic |
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