1 | ! |
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2 | MODULE agrif_modutil |
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3 | ! |
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4 | CONTAINS |
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5 | ! |
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6 | !************************************************************************ |
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7 | ! * |
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8 | ! MODULE AGRIF_MODUTIL * |
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9 | ! * |
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10 | ! module containing subroutine used for : * |
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11 | ! - unrolling 2D arrays to 1D arrays (required for SCRIP package use) * |
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12 | ! - convert 1D arrays to 2D arrays (required for SCRIP package use) * |
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13 | ! - remapping process (use SCRIP remapping matrix) * |
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14 | ! * |
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15 | !************************************************************************ |
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16 | ! |
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17 | !*********************************************************** |
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18 | SUBROUTINE ssort (x, nb) |
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19 | !*********************************************************** |
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20 | ! |
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21 | IMPLICIT NONE |
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22 | |
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23 | INTEGER :: nb |
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24 | REAL*8, DIMENSION(:) :: x |
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25 | REAL*8 :: temp |
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26 | INTEGER ji,jj,jmax,itemp |
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27 | ! |
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28 | jmax=nb-1 |
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29 | ! |
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30 | ! |
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31 | DO ji=1,nb-1 |
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32 | temp=HUGE(1) |
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33 | |
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34 | DO jj=1,jmax |
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35 | |
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36 | IF(X(jj).LE.X(jj+1)) THEN |
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37 | temp=X(jj) |
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38 | X(jj)=X(jj+1) |
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39 | X(jj+1)=temp |
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40 | ENDIF |
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41 | |
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42 | ENDDO |
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43 | |
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44 | IF(temp.EQ.HUGE(1)) RETURN |
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45 | jmax=jmax-1 |
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46 | ENDDO |
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47 | |
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48 | RETURN |
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49 | END SUBROUTINE ssort |
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50 | ! |
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51 | !*********************************************************** |
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52 | ! --- quicksort --- |
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53 | ! Author: t-nissie |
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54 | ! License: GPLv3 |
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55 | ! Gist: https://gist.github.com/t-nissie/479f0f16966925fa29ea |
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56 | !*********************************************************** |
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57 | RECURSIVE SUBROUTINE quicksort(var, first, last) |
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58 | IMPLICIT NONE |
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59 | |
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60 | REAL*8, DIMENSION(:), INTENT(inout) :: var |
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61 | INTEGER, INTENT(in) :: first, last |
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62 | REAL*8 :: x, t |
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63 | INTEGER :: ji, jj |
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64 | |
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65 | x = var( (first+last) / 2 ) |
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66 | ji = first |
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67 | jj = last |
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68 | DO |
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69 | DO WHILE (var(ji) < x) |
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70 | ji=ji+1 |
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71 | END DO |
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72 | DO WHILE (x < var(jj)) |
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73 | jj=jj-1 |
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74 | END DO |
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75 | IF (ji >= jj) EXIT |
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76 | t = var(ji); var(ji) = var(jj); var(jj) = t |
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77 | ji=ji+1 |
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78 | jj=jj-1 |
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79 | END DO |
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80 | IF (first < ji-1) CALL quicksort(var, first, ji-1) |
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81 | IF (jj+1 < last) CALL quicksort(var, jj+1, last) |
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82 | END SUBROUTINE quicksort |
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83 | |
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84 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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85 | !************************************************************************ |
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86 | ! SUBROUTINE 1Dto2D |
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87 | !************************************************************************ |
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88 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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89 | |
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90 | SUBROUTINE tab1Dto2D(tab1D,tab2D,nx,ny) |
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91 | ! |
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92 | IMPLICIT NONE |
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93 | ! |
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94 | REAL*8,DIMENSION(:) :: tab1D |
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95 | REAL*8,DIMENSION(:,:) :: tab2D |
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96 | ! |
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97 | INTEGER :: xpos,ypos |
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98 | INTEGER :: nx,ny |
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99 | INTEGER :: i |
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100 | ! |
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101 | xpos=0 |
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102 | ypos=1 |
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103 | ! |
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104 | DO i=1,nx*ny |
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105 | xpos=xpos+1 |
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106 | IF(xpos.GT.nx) THEN |
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107 | xpos=1 |
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108 | ypos=ypos+1 |
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109 | ENDIF |
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110 | tab2D(ypos,xpos)=tab1D(i) |
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111 | END DO |
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112 | ! |
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113 | END SUBROUTINE tab1Dto2D |
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114 | |
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115 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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116 | !************************************************************************ |
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117 | ! SUBROUTINE tab2Dto1D |
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118 | !************************************************************************ |
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119 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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120 | |
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121 | SUBROUTINE tab2Dto1D(tab2D,tab1D) |
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122 | ! |
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123 | IMPLICIT NONE |
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124 | ! |
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125 | REAL*8,DIMENSION(:,:) :: tab2D |
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126 | REAL*8,DIMENSION(:) :: tab1D |
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127 | ! |
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128 | INTEGER :: xpos,ypos |
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129 | INTEGER :: nx,ny |
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130 | INTEGER :: i |
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131 | ! |
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132 | nx = SIZE(tab2D,2) |
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133 | ny = SIZE(tab2D,1) |
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134 | ! |
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135 | xpos = 0 |
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136 | ypos = 1 |
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137 | DO i = 1,nx*ny |
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138 | xpos = xpos + 1 |
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139 | IF(xpos.GT.nx) THEN |
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140 | xpos = 1 |
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141 | ypos = ypos + 1 |
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142 | END IF |
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143 | tab1D(i) = tab2D(ypos,xpos) |
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144 | END DO |
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145 | ! |
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146 | END SUBROUTINE tab2Dto1D |
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147 | |
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148 | |
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149 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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150 | !************************************************************************ |
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151 | ! SUBROUTINE tab2Dto1D logical |
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152 | !************************************************************************ |
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153 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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154 | |
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155 | SUBROUTINE logtab2Dto1D(tab2D,tab1D) |
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156 | ! |
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157 | IMPLICIT NONE |
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158 | ! |
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159 | LOGICAL,DIMENSION(:,:) :: tab2D |
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160 | LOGICAL,DIMENSION(:) :: tab1D |
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161 | ! |
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162 | INTEGER :: xpos,ypos |
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163 | INTEGER :: nx,ny |
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164 | INTEGER :: i |
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165 | ! |
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166 | nx = SIZE(tab2D,2) |
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167 | ny = SIZE(tab2D,1) |
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168 | ! |
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169 | xpos = 0 |
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170 | ypos = 1 |
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171 | DO i = 1,nx*ny |
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172 | xpos = xpos + 1 |
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173 | IF(xpos.GT.nx) THEN |
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174 | xpos = 1 |
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175 | ypos = ypos + 1 |
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176 | END IF |
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177 | tab1D(i) = tab2D(ypos,xpos) |
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178 | END DO |
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179 | ! |
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180 | END SUBROUTINE logtab2Dto1D |
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181 | ! |
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182 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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183 | !************************************************************************ |
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184 | ! SUBROUTINE 1Dto2D |
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185 | !************************************************************************ |
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186 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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187 | |
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188 | SUBROUTINE logtab1Dto2D(tab1D,tab2D,nx,ny) |
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189 | ! |
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190 | IMPLICIT NONE |
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191 | ! |
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192 | LOGICAL,DIMENSION(:) :: tab1D |
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193 | LOGICAL,DIMENSION(:,:) :: tab2D |
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194 | ! |
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195 | INTEGER :: xpos,ypos |
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196 | INTEGER :: nx,ny |
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197 | INTEGER :: i |
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198 | ! |
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199 | xpos=0 |
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200 | ypos=1 |
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201 | ! |
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202 | DO i=1,nx*ny |
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203 | xpos=xpos+1 |
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204 | IF(xpos.GT.nx) THEN |
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205 | xpos=1 |
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206 | ypos=ypos+1 |
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207 | ENDIF |
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208 | tab2D(ypos,xpos)=tab1D(i) |
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209 | END DO |
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210 | ! |
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211 | END SUBROUTINE logtab1Dto2D |
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212 | |
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213 | !************************************************************** |
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214 | ! subroutine make_remap |
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215 | !************************************************************** |
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216 | ! |
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217 | SUBROUTINE make_remap(tabin,tabout,nxfin,nyfin,matrix,src_add,dst_add) |
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218 | ! |
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219 | IMPLICIT NONE |
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220 | ! |
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221 | REAL*8, DIMENSION(:,:) :: tabin |
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222 | REAL*8, DIMENSION(:,:) :: tabout |
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223 | REAL*8, POINTER, DIMENSION(:,:) :: tabtemp |
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224 | INTEGER,DIMENSION(:) :: src_add,dst_add |
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225 | INTEGER :: nxfin,nyfin |
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226 | REAL*8, POINTER, DIMENSION(:) :: var1D,var_interp1D |
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227 | REAL*8,DIMENSION(:,:) :: matrix |
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228 | INTEGER :: num_links,i |
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229 | ! |
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230 | ALLOCATE(var1D(SIZE(tabin,1)*SIZE(tabin,2))) |
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231 | CALL tab2Dto1D(tabin,var1D) |
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232 | ! |
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233 | ALLOCATE(var_interp1D(nxfin*nyfin)) |
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234 | var_interp1D = 0.0 |
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235 | num_links = SIZE(dst_add) |
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236 | ! |
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237 | DO i = 1,num_links |
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238 | var_interp1D(dst_add(i)) = var_interp1D(dst_add(i)) & |
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239 | + matrix(1,i)*var1D(src_add(i)) |
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240 | END DO |
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241 | ! |
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242 | ALLOCATE(tabtemp(SIZE(tabout,1),SIZE(tabout,2))) |
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243 | ! |
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244 | CALL tab1Dto2D(var_interp1D,tabtemp,nyfin,nxfin) |
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245 | ! |
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246 | tabout = tabtemp |
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247 | ! |
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248 | DEALLOCATE(var_interp1D,var1D,tabtemp) |
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249 | ! |
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250 | END SUBROUTINE make_remap |
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251 | ! |
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252 | ! |
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253 | !************************************************************** |
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254 | ! end subroutine make_remap |
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255 | !************************************************************** |
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256 | ! |
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257 | ! |
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258 | !************************************************************** |
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259 | ! subroutine make_bicubic_remap |
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260 | !************************************************************** |
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261 | ! |
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262 | SUBROUTINE make_bicubic_remap(tabin,masksrc,tabout,nxfin,nyfin,matrix,src_add,dst_add) |
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263 | ! |
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264 | IMPLICIT NONE |
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265 | ! |
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266 | REAL*8, DIMENSION(:,:) :: tabin |
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267 | LOGICAL, DIMENSION(:,:) :: masksrc |
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268 | LOGICAL, POINTER, DIMENSION(:) :: grid1_mask |
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269 | REAL*8, DIMENSION(:,:) :: tabout |
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270 | INTEGER,DIMENSION(:) :: src_add,dst_add |
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271 | INTEGER :: nxfin,nyfin |
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272 | REAL*8, POINTER, DIMENSION(:) :: var1D,var_interp1D,gradi,gradj,gradij,deriv1,deriv2 |
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273 | REAL*8,DIMENSION(:,:) :: matrix |
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274 | INTEGER :: num_links,i,j,nx,ny,n,ip1,im1,jp1,jm1 |
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275 | INTEGER :: in_x,is,ie,iw,ine,inw,ise,isw |
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276 | REAL*8 :: delew,delns |
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277 | ! |
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278 | nx = SIZE(tabin,1) |
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279 | ny = SIZE(tabin,2) |
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280 | ALLOCATE(gradi(nx*ny),gradj(nx*ny),gradij(nx*ny),deriv1(nx*ny),deriv2(nx*ny)) |
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281 | ALLOCATE(var1D(nx*ny),grid1_mask(nx*ny)) |
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282 | ! |
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283 | CALL tab2Dto1D(tabin,var1D) |
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284 | CALL logtab2Dto1D(masksrc,grid1_mask) |
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285 | ! |
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286 | gradi = 0.0 |
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287 | gradj = 0.0 |
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288 | gradij = 0.0 |
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289 | ! |
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290 | DO n = 1,nx*ny |
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291 | |
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292 | IF( grid1_mask(n) ) THEN |
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293 | ! |
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294 | delew = 0.5 |
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295 | delns = 0.5 |
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296 | |
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297 | j = (n-1)/ny + 1 |
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298 | i = n - (j-1)*ny |
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299 | ! |
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300 | ip1 = i+1 |
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301 | im1 = i-1 |
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302 | jp1 = j+1 |
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303 | jm1 = j-1 |
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304 | ! |
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305 | IF (ip1 > ny) ip1 = ip1 - ny |
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306 | |
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307 | IF (im1 < 1 ) im1 = ny |
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308 | |
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309 | IF (jp1 > nx) THEN |
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310 | jp1 = j |
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311 | delns = 1. |
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312 | ENDIF |
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313 | |
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314 | IF (jm1 < 1 ) THEN |
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315 | jm1 = j |
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316 | delns = 1. |
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317 | ENDIF |
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318 | ! |
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319 | in_x = (jp1-1)*ny + i |
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320 | is = (jm1-1)*ny + i |
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321 | ie = (j -1)*ny + ip1 |
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322 | iw = (j -1)*ny + im1 |
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323 | ! |
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324 | ine = (jp1-1)*ny + ip1 |
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325 | inw = (jp1-1)*ny + im1 |
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326 | ise = (jm1-1)*ny + ip1 |
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327 | isw = (jm1-1)*ny + im1 |
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328 | ! |
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329 | !*** compute i-gradient |
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330 | |
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331 | IF (.NOT. grid1_mask(ie)) THEN |
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332 | ie = n |
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333 | delew = 1. |
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334 | ENDIF |
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335 | ! |
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336 | IF (.NOT. grid1_mask(iw)) THEN |
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337 | iw = n |
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338 | delew = 1. |
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339 | ENDIF |
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340 | ! |
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341 | gradi(n) = delew*(var1D(ie) - var1D(iw)) |
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342 | ! |
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343 | !*** compute j-gradient |
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344 | |
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345 | IF (.NOT. grid1_mask(in_x)) THEN |
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346 | in_x = n |
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347 | delns = 1. |
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348 | ENDIF |
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349 | ! |
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350 | IF (.NOT. grid1_mask(is)) THEN |
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351 | is = n |
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352 | delns = 1. |
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353 | ENDIF |
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354 | ! |
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355 | gradj(n) = delns*(var1D(in_x) - var1D(is)) |
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356 | ! |
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357 | !*** compute ij-gradient |
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358 | |
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359 | delew = 0.5 |
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360 | |
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361 | IF (jp1 == j .OR. jm1 == j) THEN |
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362 | delns = 1. |
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363 | ELSE |
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364 | delns = 0.5 |
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365 | ENDIF |
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366 | ! |
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367 | IF (.NOT. grid1_mask(ine)) THEN |
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368 | IF (in_x /= n) THEN |
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369 | ine = in_x |
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370 | delew = 1. |
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371 | ELSE IF (ie /= n) THEN |
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372 | ine = ie |
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373 | inw = iw |
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374 | IF (inw == n) delew = 1. |
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375 | delns = 1. |
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376 | ELSE |
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377 | ine = n |
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378 | inw = iw |
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379 | delew = 1 |
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380 | delns = 1 |
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381 | ENDIF |
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382 | ENDIF |
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383 | ! |
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384 | IF (.NOT. grid1_mask(inw)) THEN |
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385 | IF (in_x /= n) THEN |
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386 | inw = in_x |
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387 | delew = 1. |
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388 | ELSE IF (iw /= n) THEN |
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389 | inw = iw |
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390 | ine = ie |
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391 | IF (ie == n) delew = 1. |
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392 | delns = 1. |
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393 | ELSE |
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394 | inw = n |
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395 | ine = ie |
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396 | delew = 1. |
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397 | delns = 1. |
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398 | ENDIF |
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399 | ENDIF |
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400 | ! |
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401 | deriv1(n) = delew*(var1D(ine)-var1D(inw)) |
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402 | ! |
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403 | IF (.NOT. grid1_mask(ise)) THEN |
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404 | IF (is /= n) THEN |
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405 | ise = is |
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406 | delew = 1. |
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407 | ELSE IF (ie /= n) THEN |
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408 | ise = ie |
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409 | isw = iw |
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410 | IF (isw == n) delew = 1. |
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411 | delns = 1. |
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412 | ELSE |
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413 | ise = n |
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414 | isw = iw |
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415 | delew = 1. |
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416 | delns = 1. |
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417 | ENDIF |
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418 | ENDIF |
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419 | ! |
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420 | IF (.NOT. grid1_mask(isw)) THEN |
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421 | IF (is /= n) THEN |
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422 | isw = is |
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423 | delew = 1. |
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424 | ELSE IF (iw /= n) THEN |
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425 | isw = iw |
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426 | ise = ie |
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427 | IF (ie == n) delew = 1. |
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428 | delns = 1. |
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429 | ELSE |
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430 | isw = n |
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431 | ise = ie |
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432 | delew = 1. |
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433 | delns = 1. |
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434 | ENDIF |
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435 | ENDIF |
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436 | |
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437 | deriv2(n) = delew*(var1D(ise) - var1D(isw)) |
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438 | gradij(n) = delns*(deriv1(n) - deriv2(n)) |
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439 | ENDIF |
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440 | END DO |
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441 | ! |
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442 | DEALLOCATE(deriv1,deriv2,grid1_mask) |
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443 | |
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444 | ! |
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445 | ALLOCATE(var_interp1D(nxfin*nyfin)) |
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446 | var_interp1D = 0.0 |
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447 | num_links = SIZE(dst_add) |
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448 | ! |
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449 | DO i = 1,num_links |
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450 | ! |
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451 | var_interp1D(dst_add(i)) = var_interp1D(dst_add(i)) + & |
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452 | matrix(1,i)*var1D(src_add(i)) + & |
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453 | matrix(2,i)*gradi(src_add(i)) + & |
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454 | matrix(3,i)*gradj(src_add(i)) + & |
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455 | matrix(4,i)*gradij(src_add(i)) |
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456 | END DO |
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457 | ! |
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458 | DEALLOCATE(gradi,gradj,gradij,var1D) |
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459 | ! |
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460 | CALL tab1Dto2D(var_interp1D,tabout,nyfin,nxfin) |
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461 | ! |
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462 | DEALLOCATE(var_interp1D) |
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463 | ! |
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464 | END SUBROUTINE make_bicubic_remap |
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465 | ! |
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466 | ! |
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467 | !************************************************************** |
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468 | ! end subroutine make_bicubic_remap |
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469 | !************************************************************** |
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470 | ! |
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471 | ! |
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472 | END MODULE agrif_modutil |
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