1 | !******************************************************************************* |
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2 | ! |
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3 | MODULE grid_atob_m |
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4 | ! |
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5 | !******************************************************************************* |
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6 | |
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7 | USE assert_eq_m, ONLY: assert_eq |
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8 | REAL, SAVE :: pi, deg2rad |
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9 | |
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10 | PRIVATE |
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11 | PUBLIC :: grille_m, rugosite, sea_ice, rugsoro |
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12 | |
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13 | CONTAINS |
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14 | |
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15 | !------------------------------------------------------------------------------- |
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16 | ! |
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17 | SUBROUTINE fine2coarse(x_i, y_i, x_o, y_o, d_o1, d_i, msk, d_o2) |
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18 | ! |
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19 | !------------------------------------------------------------------------------- |
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20 | IMPLICIT NONE |
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21 | !------------------------------------------------------------------------------- |
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22 | ! Arguments: |
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23 | REAL, INTENT(IN) :: x_i(:), y_i(:) !-- INPUT X&Y COOR. (mi)(ni) |
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24 | REAL, INTENT(IN) :: x_o(:), y_o(:) !-- OUTPUT X&Y COOR. (mi)(ni) |
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25 | REAL, INTENT(OUT) :: d_o1(:,:) !-- OUTPUT FIELD (mo,no) |
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26 | REAL, OPTIONAL, INTENT(IN) :: d_i (:,:) !-- INPUT FIELD (mi,ni) |
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27 | LOGICAL, OPTIONAL, INTENT(IN) :: msk (:,:) !-- MASK (mi,ni) |
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28 | REAL, OPTIONAL, INTENT(OUT) :: d_o2(:,:) !-- OUTPUT FOR d_i^2 (mo,no) |
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29 | !------------------------------------------------------------------------------- |
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30 | ! Local variables: |
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31 | CHARACTER(LEN=256) :: modname="fine2coarse" |
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32 | INTEGER :: mi, ni, ii, ji, mo, no, io, jo, nr(2), m1, n1, m2, n2, nn |
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33 | INTEGER :: num_tot(SIZE(x_o),SIZE(y_o)) |
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34 | LOGICAL :: found(SIZE(x_o),SIZE(y_o)), li |
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35 | LOGICAL :: mask (SIZE(x_i),SIZE(y_i)), lo |
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36 | REAL :: dist (SIZE(x_o),SIZE(y_o)) |
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37 | REAL :: a(SIZE(x_o)), b(SIZE(x_o)), c(SIZE(y_o)), d(SIZE(y_o)), inc |
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38 | REAL, PARAMETER :: thresh=1.E-5 |
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39 | !------------------------------------------------------------------------------- |
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40 | mask(:,:)=.TRUE.; IF(PRESENT(msk)) mask(:,:)=msk(:,:) |
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41 | mi=SIZE(x_i); m1=mi; ni=SIZE(y_i); n1=ni |
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42 | mo=SIZE(x_o); m2=mo; no=SIZE(y_o); n2=no |
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43 | li=PRESENT(d_i ); IF(li) THEN; m1=SIZE(d_i ,1); n1=SIZE(d_i ,2); END IF |
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44 | lo=PRESENT(d_o2); IF(lo) THEN; m2=SIZE(d_o2,1); n2=SIZE(d_o2,2); END IF |
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45 | mi=assert_eq(mi,m1,SIZE(mask,1),TRIM(modname)//" mi") |
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46 | ni=assert_eq(ni,n1,SIZE(mask,2),TRIM(modname)//" ni") |
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47 | mo=assert_eq(mo,m2,SIZE(d_o1,1),TRIM(modname)//" mo") |
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48 | no=assert_eq(no,n2,SIZE(d_o1,2),TRIM(modname)//" no") |
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49 | |
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50 | !--- COMPUTE CELLS INTERFACES COORDINATES OF OUTPUT GRID |
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51 | b(mo)=x_o(mo)+(x_o(mo)-x_o(mo-1))/2.0; b(1:mo-1)=(x_o(1:mo-1)+x_o(2:mo))/2.0 |
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52 | d(no)=y_o(no)+(y_o(no)-y_o(no-1))/2.0; d(1:no-1)=(y_o(1:no-1)+y_o(2:no))/2.0 |
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53 | a(1 )=x_o(1 )-(x_o(2 )-x_o(1 ))/2.0; a(2:mo )= b(1:mo-1) |
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54 | c(1 )=y_o(1 )-(y_o(2 )-y_o(1 ))/2.0; c(2:no )= d(1:no-1) |
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55 | |
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56 | !--- ACCUMULATE INPUT POINTS ON OUTPUT GRID |
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57 | d_o1(:,:)=0.; num_tot(:,:)=0; inc=1.0 |
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58 | IF(lo) d_o2(:,:)=0. |
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59 | DO ji = 1, ni |
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60 | DO ii = 1, mi |
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61 | IF(li) inc=d_i(ii,ji) |
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62 | DO jo = 1, no |
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63 | IF((y_i(ji)-c(jo)<thresh.OR.y_i(ji)-d(jo)>thresh).AND. & |
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64 | (y_i(ji)-c(jo)>thresh.OR.y_i(ji)-d(jo)<thresh)) CYCLE |
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65 | DO io = 1, mo |
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66 | IF((x_i(ii)-a(io)<thresh.OR.x_i(ii)-b(io)>thresh).AND. & |
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67 | (x_i(ii)-a(io)>thresh.OR.x_i(ii)-b(io)<thresh)) CYCLE |
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68 | num_tot(io,jo)=num_tot(io,jo)+1 |
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69 | IF(mask(ii,ji)) d_o1(io,jo)=d_o1(io,jo)+inc |
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70 | IF(.NOT.lo) CYCLE |
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71 | IF(mask(ii,ji)) d_o2(io,jo)=d_o2(io,jo)+inc*inc |
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72 | END DO |
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73 | END DO |
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74 | END DO |
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75 | END DO |
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76 | |
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77 | !--- CHECK INPUT POINTS HAVE BEEN FOUND IN EACH OUTPUT CELL |
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78 | found(:,:)=num_tot(:,:)/=0 |
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79 | WHERE(found.AND.mask) d_o1(:,:)=d_o1(:,:)/REAL(num_tot(:,:)) |
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80 | IF(PRESENT(d_o2)) THEN |
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81 | WHERE(found.AND.mask) d_o2(:,:)=d_o2(:,:)/REAL(num_tot(:,:)) |
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82 | RETURN |
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83 | END IF |
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84 | nn=COUNT(found); IF(nn==0) RETURN |
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85 | |
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86 | !--- MISSING POINTS ; USE DISTANCE ON THE SPHERE TO FIND NEAREST POINT nr(2) |
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87 | DO io = 1, mo |
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88 | DO jo = 1, no |
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89 | IF(found(io,jo)) CYCLE |
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90 | ! IF(prt_level>=1) PRINT*, "Problem: point out of domain (i,j)=", io,jo |
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91 | CALL dist_sphe(x_o(io),y_o(jo),x_i,y_i,dist(:,:)) |
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92 | nr=MINLOC(dist(:,:))!; IF(prt_level>=1) PRINT*, "Solution: ", nr |
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93 | inc=1.0; IF(li) inc=d_i(nr(1),nr(2)) |
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94 | IF(mask(nr(1),nr(2))) d_o1(io,jo)=inc |
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95 | END DO |
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96 | END DO |
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97 | |
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98 | END SUBROUTINE fine2coarse |
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99 | ! |
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100 | !------------------------------------------------------------------------------- |
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101 | |
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102 | |
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103 | !------------------------------------------------------------------------------- |
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104 | ! |
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105 | SUBROUTINE grille_m(xdata, ydata, entree, x, y, sortie) |
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106 | ! |
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107 | !------------------------------------------------------------------------------- |
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108 | ! Author: Z.X. Li (april 1st 1994) (see also A. Harzallah and L. Fairhead) |
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109 | !------------------------------------------------------------------------------- |
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110 | ! Purpose: Naive method to regrid on a coarser grid. |
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111 | ! Value at a new point is an average of the old points lcoated in a zone |
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112 | ! surrounding the considered new point. |
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113 | ! No ponderation is used (see grille_p) |
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114 | ! |
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115 | ! (c) |
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116 | ! ----d----- |
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117 | ! | . . . .| |
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118 | ! | | |
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119 | ! (b)a . * . .b(a) |
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120 | ! | | |
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121 | ! | . . . .| |
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122 | ! ----c----- |
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123 | ! (d) |
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124 | ! |
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125 | !------------------------------------------------------------------------------- |
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126 | IMPLICIT NONE |
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127 | !------------------------------------------------------------------------------- |
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128 | ! Arguments: |
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129 | REAL, INTENT(IN) :: xdata(:), ydata(:) !--- INPUT FIELD X AND Y COORD. |
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130 | REAL, INTENT(IN) :: entree(SIZE(xdata),SIZE(ydata)) !--- INPUT FIELD |
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131 | REAL, INTENT(IN) :: x(:), y(:) !--- OUTPUT FIELD X AND Y COORD. |
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132 | REAL, INTENT(OUT) :: sortie(SIZE(x),SIZE(y)) !--- OUTPUT FIELD |
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133 | !------------------------------------------------------------------------------- |
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134 | CALL fine2coarse(xdata,ydata,x,y,sortie,entree) |
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135 | |
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136 | END SUBROUTINE grille_m |
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137 | ! |
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138 | !------------------------------------------------------------------------------- |
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139 | |
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140 | |
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141 | !------------------------------------------------------------------------------- |
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142 | ! |
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143 | SUBROUTINE rugosite(xdata, ydata, entree, x, y, sortie, mask) |
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144 | ! |
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145 | !------------------------------------------------------------------------------- |
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146 | ! Author: Z.X. Li (april 1st 1994) |
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147 | !------------------------------------------------------------------------------- |
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148 | ! Purpose: Remap rugosity length ; constant value (0.001) on oceans. |
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149 | ! Naive method (see grille_m) |
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150 | !------------------------------------------------------------------------------- |
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151 | IMPLICIT NONE |
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152 | !------------------------------------------------------------------------------- |
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153 | ! Arguments: |
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154 | REAL, INTENT(IN) :: xdata(:), ydata(:) !--- INPUT FIELD X AND Y COORD. |
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155 | REAL, INTENT(IN) :: entree(SIZE(xdata),SIZE(ydata)) !--- INPUT FIELD |
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156 | REAL, INTENT(IN) :: x(:), y(:) !--- OUTPUT FIELD X AND Y COORD. |
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157 | REAL, INTENT(OUT) :: sortie(SIZE(x),SIZE(y)) !--- OUTPUT FIELD |
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158 | REAL, INTENT(IN) :: mask (SIZE(x),SIZE(y)) !--- MASK |
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159 | !------------------------------------------------------------------------------- |
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160 | CALL fine2coarse(xdata,ydata,x,y,sortie,LOG(entree)) |
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161 | WHERE(NINT(mask)==1) |
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162 | sortie(:,:)=EXP(sortie(:,:)) |
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163 | ELSE WHERE |
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164 | sortie(:,:)=0.001 |
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165 | END WHERE |
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166 | |
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167 | END SUBROUTINE rugosite |
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168 | ! |
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169 | !------------------------------------------------------------------------------- |
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170 | |
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171 | |
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172 | !------------------------------------------------------------------------------- |
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173 | ! |
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174 | SUBROUTINE sea_ice(xdata, ydata, glace01, x, y, frac_ice) |
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175 | ! |
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176 | !------------------------------------------------------------------------------- |
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177 | ! Author: Z.X. Li (april 1st 1994) |
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178 | ! Purpose: Regrid ice indicator (0 or 1) on a coarser grid to get an ice fract. |
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179 | ! field (between 0 and 1). |
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180 | ! Naive method (see grille_m) |
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181 | !------------------------------------------------------------------------------- |
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182 | IMPLICIT NONE |
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183 | !------------------------------------------------------------------------------- |
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184 | ! Arguments: |
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185 | REAL, INTENT(IN) :: xdata(:), ydata(:) !--- INPUT FIELD X AND Y COORD. |
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186 | REAL, INTENT(IN) :: glace01(:,:) !--- INPUT FIELD |
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187 | REAL, INTENT(IN) :: x(:), y(:) !--- OUTPUT FIELD X AND Y COORD. |
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188 | REAL, INTENT(OUT) :: frac_ice(SIZE(x),SIZE(y)) !--- OUTPUT FIELD |
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189 | !------------------------------------------------------------------------------- |
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190 | CALL fine2coarse(xdata,ydata,x,y,frac_ice,msk=NINT(glace01)==1) |
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191 | |
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192 | END SUBROUTINE sea_ice |
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193 | ! |
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194 | !------------------------------------------------------------------------------- |
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195 | |
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196 | |
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197 | !------------------------------------------------------------------------------- |
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198 | ! |
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199 | SUBROUTINE rugsoro(xrel, yrel, relief, xmod, ymod, rugs) |
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200 | ! |
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201 | !------------------------------------------------------------------------------- |
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202 | ! Author: Z.X. Li (april 1st 1994) ; Modifications: august 23rd 1995. |
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203 | ! Purpose: Compute rugosity due to orography by using standard dev in a 1x1 cell |
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204 | !------------------------------------------------------------------------------- |
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205 | IMPLICIT NONE |
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206 | !------------------------------------------------------------------------------- |
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207 | ! Arguments: |
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208 | REAL, INTENT(IN) :: xrel(:), yrel(:) !--- INPUT FIELD X AND Y COORD. |
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209 | REAL, INTENT(IN) :: relief(:,:) !--- INPUT FIELD |
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210 | REAL, INTENT(IN) :: xmod(:), ymod(:) !--- OUTPUT FIELD X AND Y COORD. |
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211 | REAL, INTENT(OUT) :: rugs(SIZE(xmod),SIZE(ymod)) !--- OUTPUT FIELD |
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212 | !------------------------------------------------------------------------------- |
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213 | ! Local variable: |
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214 | INTEGER :: k, nn |
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215 | INTEGER, PARAMETER:: itmp=360, jtmp=180 |
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216 | REAL :: out(SIZE(xmod),SIZE(xmod)), amin, amax |
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217 | REAL :: cham1tmp(itmp,jtmp), cham2tmp(itmp,jtmp), xtmp(itmp), ytmp(jtmp) |
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218 | !------------------------------------------------------------------------------- |
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219 | |
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220 | !--- TEST INPUT FILE FITS FOR ONE DEGREE RESOLUTION |
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221 | xtmp(:)=4.0*ATAN(1.0)*[(-1.0+REAL(2*k-1)/REAL(itmp),k=1,itmp)] |
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222 | ytmp(:)=2.0*ATAN(1.0)*[(-1.0+REAL(2*k-1)/REAL(jtmp),k=1,jtmp)] |
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223 | CALL fine2coarse(xrel,yrel,xtmp,ytmp,cham1tmp,relief,d_o2=cham2tmp) |
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224 | cham2tmp(:,:)=cham2tmp(:,:)-cham1tmp(:,:)**2 |
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225 | nn=COUNT(cham2tmp<=-7.5) |
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226 | IF(nn/=0) THEN |
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227 | PRINT*,'Problem for rugsoro ; std**2 < -7.5 for several points: ',nn |
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228 | CALL ABORT_GCM("", "", 1) |
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229 | END IF |
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230 | nn=COUNT(cham2tmp<0) |
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231 | IF(nn/=0) PRINT*,'Problem for rugsoro ; std**2 < 0. for several points: ',nn |
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232 | WHERE(cham2tmp<0.0) cham2tmp=0.0 |
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233 | cham2tmp(:,:)=SQRT(cham2tmp(:,:)) |
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234 | amin=MINVAL(cham2tmp); amax=MAXVAL(cham2tmp) |
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235 | PRINT*, 'Ecart-type 1x1:', amin, amax |
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236 | |
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237 | !--- COMPUTE RUGOSITY AT REQUIRED SCALE |
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238 | WHERE(cham2tmp<0.001) cham2tmp=0.001 |
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239 | CALL fine2coarse(xtmp,ytmp,xmod,ymod,out,REAL(LOG(cham2tmp))) |
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240 | out=EXP(out) |
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241 | amin=MINVAL(out); amax=MAXVAL(out) |
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242 | PRINT*, 'Ecart-type du modele:', amin, amax |
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243 | out=out/amax*20.0 |
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244 | amin=MINVAL(out); amax=MAXVAL(out) |
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245 | PRINT*, 'Longueur de rugosite du modele:', amin, amax |
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246 | rugs=REAL(out) |
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247 | |
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248 | END SUBROUTINE rugsoro |
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249 | ! |
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250 | !------------------------------------------------------------------------------- |
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251 | |
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252 | |
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253 | !------------------------------------------------------------------------------- |
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254 | ! |
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255 | SUBROUTINE dist_sphe(rf_lon,rf_lat,rlon,rlat,distance) |
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256 | ! |
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257 | !------------------------------------------------------------------------------- |
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258 | ! Author: Laurent Li (december 30th 1996). |
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259 | ! Purpose: Compute min. distance (along big circle) between 2 points in degrees. |
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260 | !------------------------------------------------------------------------------- |
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261 | IMPLICIT NONE |
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262 | !------------------------------------------------------------------------------- |
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263 | ! Arguments: |
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264 | REAL, INTENT(IN) :: rf_lon, rf_lat !--- Reference point coordinates (degrees) |
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265 | REAL, INTENT(IN) :: rlon(:), rlat(:)!--- Points longitudes/latitudes (degrees) |
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266 | REAL, INTENT(OUT):: distance(SIZE(rlon),SIZE(rlat)) !--- Distance (degrees) |
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267 | !------------------------------------------------------------------------------- |
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268 | ! Local variables: |
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269 | LOGICAL, SAVE :: first=.TRUE. |
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270 | REAL :: pa, pb, cpa, cpab, spa, spab, crlo(SIZE(rlon)) |
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271 | INTEGER :: i, j |
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272 | !------------------------------------------------------------------------------- |
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273 | IF(first) THEN |
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274 | pi=4.0*ATAN(1.0); deg2rad=pi/180.0; first=.FALSE. |
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275 | END IF |
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276 | crlo(:)=COS((rf_lon-rlon(:))*deg2rad) !--- COS of points 1 and 2 angle |
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277 | pa=(90.0-rf_lat)*deg2rad !--- North Pole - Point 1 distance |
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278 | cpa=COS(pa); spa=SIN(pa) |
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279 | DO j=1,SIZE(rlat) |
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280 | pb=(90.0-rlat(j))*deg2rad !--- North Pole - Point 2 distance |
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281 | cpab=cpa*COS(pb); spab=spa*SIN(pb) |
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282 | distance(:,j)=ACOS(cpab+spab*crlo(:))/deg2rad |
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283 | END DO |
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284 | |
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285 | END SUBROUTINE dist_sphe |
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286 | ! |
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287 | !------------------------------------------------------------------------------- |
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288 | |
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289 | END MODULE grid_atob_m |
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290 | ! |
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291 | !******************************************************************************* |
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292 | |
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