1 | MODULE lib_fortran |
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2 | !!====================================================================== |
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3 | !! *** MODULE lib_fortran *** |
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4 | !! Fortran utilities: includes some low levels fortran functionality |
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5 | !!====================================================================== |
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6 | !! History : 3.2 ! 2010-05 (M. Dunphy, R. Benshila) Original code |
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7 | !! 3.4 ! 2013-06 (C. Rousset) add glob_min, glob_max |
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8 | !! + 3d dim. of input is fexible (jpk, jpl...) |
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9 | !! 4.0 ! 2016-06 (T. Lovato) double precision global sum by default |
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10 | !!---------------------------------------------------------------------- |
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11 | |
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12 | !!---------------------------------------------------------------------- |
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13 | !! glob_sum : generic interface for global masked summation over |
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14 | !! the interior domain for 1 or 2 2D or 3D arrays |
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15 | !! it works only for T points |
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16 | !! SIGN : generic interface for SIGN to overwrite f95 behaviour |
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17 | !! of intrinsinc sign function |
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18 | !!---------------------------------------------------------------------- |
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19 | USE par_oce ! Ocean parameter |
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20 | USE dom_oce ! ocean domain |
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21 | USE in_out_manager ! I/O manager |
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22 | USE lib_mpp ! distributed memory computing |
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23 | |
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24 | IMPLICIT NONE |
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25 | PRIVATE |
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26 | |
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27 | PUBLIC glob_sum ! used in many places (masked with tmask_i) |
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28 | PUBLIC glob_sum_full ! used in many places (masked with tmask_h, ie only over the halos) |
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29 | PUBLIC DDPDD ! also used in closea module |
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30 | PUBLIC glob_min, glob_max |
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31 | #if defined key_nosignedzero |
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32 | PUBLIC SIGN |
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33 | #endif |
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34 | |
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35 | INTERFACE glob_sum |
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36 | MODULE PROCEDURE glob_sum_1d, glob_sum_2d, glob_sum_3d, & |
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37 | & glob_sum_2d_a, glob_sum_3d_a |
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38 | END INTERFACE |
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39 | INTERFACE glob_sum_full |
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40 | MODULE PROCEDURE glob_sum_full_2d, glob_sum_full_3d |
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41 | END INTERFACE |
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42 | INTERFACE glob_min |
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43 | MODULE PROCEDURE glob_min_2d, glob_min_3d,glob_min_2d_a, glob_min_3d_a |
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44 | END INTERFACE |
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45 | INTERFACE glob_max |
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46 | MODULE PROCEDURE glob_max_2d, glob_max_3d,glob_max_2d_a, glob_max_3d_a |
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47 | END INTERFACE |
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48 | |
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49 | #if defined key_nosignedzero |
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50 | INTERFACE SIGN |
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51 | MODULE PROCEDURE SIGN_SCALAR, SIGN_ARRAY_1D, SIGN_ARRAY_2D, SIGN_ARRAY_3D, & |
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52 | & SIGN_ARRAY_1D_A, SIGN_ARRAY_2D_A, SIGN_ARRAY_3D_A, & |
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53 | & SIGN_ARRAY_1D_B, SIGN_ARRAY_2D_B, SIGN_ARRAY_3D_B |
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54 | END INTERFACE |
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55 | #endif |
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56 | |
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57 | !!---------------------------------------------------------------------- |
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58 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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59 | !! $Id$ |
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60 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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61 | !!---------------------------------------------------------------------- |
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62 | CONTAINS |
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63 | |
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64 | ! --- SUM --- |
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65 | FUNCTION glob_sum_1d( ptab, kdim ) |
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66 | !!---------------------------------------------------------------------- |
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67 | !! *** FUNCTION glob_sum_1d *** |
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68 | !! |
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69 | !! ** Purpose : perform a sum in calling DDPDD routine |
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70 | !!---------------------------------------------------------------------- |
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71 | INTEGER , INTENT(in) :: kdim |
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72 | REAL(wp), INTENT(in), DIMENSION(kdim) :: ptab |
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73 | REAL(wp) :: glob_sum_1d ! global sum |
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74 | !! |
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75 | COMPLEX(wp):: ctmp |
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76 | REAL(wp) :: ztmp |
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77 | INTEGER :: ji ! dummy loop indices |
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78 | !!----------------------------------------------------------------------- |
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79 | ! |
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80 | ztmp = 0.e0 |
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81 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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82 | DO ji = 1, kdim |
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83 | ztmp = ptab(ji) |
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84 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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85 | END DO |
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86 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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87 | glob_sum_1d = REAL(ctmp,wp) |
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88 | ! |
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89 | END FUNCTION glob_sum_1d |
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90 | |
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91 | FUNCTION glob_sum_2d( ptab ) |
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92 | !!---------------------------------------------------------------------- |
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93 | !! *** FUNCTION glob_sum_2d *** |
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94 | !! |
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95 | !! ** Purpose : perform a sum in calling DDPDD routine |
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96 | !!---------------------------------------------------------------------- |
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97 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab |
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98 | REAL(wp) :: glob_sum_2d ! global masked sum |
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99 | !! |
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100 | COMPLEX(wp):: ctmp |
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101 | REAL(wp) :: ztmp |
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102 | INTEGER :: ji, jj ! dummy loop indices |
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103 | !!----------------------------------------------------------------------- |
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104 | ! |
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105 | ztmp = 0.e0 |
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106 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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107 | DO jj = 1, jpj |
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108 | DO ji =1, jpi |
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109 | ztmp = ptab(ji,jj) * tmask_i(ji,jj) |
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110 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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111 | END DO |
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112 | END DO |
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113 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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114 | glob_sum_2d = REAL(ctmp,wp) |
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115 | ! |
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116 | END FUNCTION glob_sum_2d |
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117 | |
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118 | |
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119 | FUNCTION glob_sum_3d( ptab ) |
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120 | !!---------------------------------------------------------------------- |
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121 | !! *** FUNCTION glob_sum_3d *** |
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122 | !! |
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123 | !! ** Purpose : perform a sum on a 3D array in calling DDPDD routine |
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124 | !!---------------------------------------------------------------------- |
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125 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab |
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126 | REAL(wp) :: glob_sum_3d ! global masked sum |
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127 | !! |
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128 | COMPLEX(wp):: ctmp |
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129 | REAL(wp) :: ztmp |
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130 | INTEGER :: ji, jj, jk ! dummy loop indices |
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131 | INTEGER :: ijpk ! local variables: size of ptab |
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132 | !!----------------------------------------------------------------------- |
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133 | ! |
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134 | ijpk = SIZE(ptab,3) |
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135 | ! |
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136 | ztmp = 0.e0 |
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137 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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138 | DO jk = 1, ijpk |
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139 | DO jj = 1, jpj |
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140 | DO ji =1, jpi |
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141 | ztmp = ptab(ji,jj,jk) * tmask_i(ji,jj) |
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142 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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143 | END DO |
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144 | END DO |
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145 | END DO |
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146 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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147 | glob_sum_3d = REAL(ctmp,wp) |
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148 | ! |
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149 | END FUNCTION glob_sum_3d |
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150 | |
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151 | |
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152 | FUNCTION glob_sum_2d_a( ptab1, ptab2 ) |
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153 | !!---------------------------------------------------------------------- |
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154 | !! *** FUNCTION glob_sum_2d_a *** |
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155 | !! |
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156 | !! ** Purpose : perform a sum on two 2D arrays in calling DDPDD routine |
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157 | !!---------------------------------------------------------------------- |
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158 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab1, ptab2 |
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159 | REAL(wp) :: glob_sum_2d_a ! global masked sum |
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160 | !! |
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161 | COMPLEX(wp):: ctmp |
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162 | REAL(wp) :: ztmp |
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163 | INTEGER :: ji, jj ! dummy loop indices |
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164 | !!----------------------------------------------------------------------- |
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165 | ! |
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166 | ztmp = 0.e0 |
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167 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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168 | DO jj = 1, jpj |
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169 | DO ji =1, jpi |
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170 | ztmp = ptab1(ji,jj) * tmask_i(ji,jj) |
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171 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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172 | ztmp = ptab2(ji,jj) * tmask_i(ji,jj) |
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173 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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174 | END DO |
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175 | END DO |
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176 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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177 | glob_sum_2d_a = REAL(ctmp,wp) |
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178 | ! |
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179 | END FUNCTION glob_sum_2d_a |
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180 | |
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181 | |
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182 | FUNCTION glob_sum_3d_a( ptab1, ptab2 ) |
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183 | !!---------------------------------------------------------------------- |
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184 | !! *** FUNCTION glob_sum_3d_a *** |
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185 | !! |
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186 | !! ** Purpose : perform a sum on two 3D array in calling DDPDD routine |
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187 | !!---------------------------------------------------------------------- |
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188 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab1, ptab2 |
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189 | REAL(wp) :: glob_sum_3d_a ! global masked sum |
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190 | !! |
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191 | COMPLEX(wp):: ctmp |
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192 | REAL(wp) :: ztmp |
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193 | INTEGER :: ji, jj, jk ! dummy loop indices |
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194 | INTEGER :: ijpk ! local variables: size of ptab |
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195 | !!----------------------------------------------------------------------- |
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196 | ! |
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197 | ijpk = SIZE(ptab1,3) |
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198 | ! |
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199 | ztmp = 0.e0 |
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200 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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201 | DO jk = 1, ijpk |
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202 | DO jj = 1, jpj |
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203 | DO ji = 1, jpi |
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204 | ztmp = ptab1(ji,jj,jk) * tmask_i(ji,jj) |
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205 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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206 | ztmp = ptab2(ji,jj,jk) * tmask_i(ji,jj) |
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207 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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208 | END DO |
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209 | END DO |
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210 | END DO |
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211 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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212 | glob_sum_3d_a = REAL(ctmp,wp) |
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213 | ! |
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214 | END FUNCTION glob_sum_3d_a |
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215 | |
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216 | FUNCTION glob_sum_full_2d( ptab ) |
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217 | !!---------------------------------------------------------------------- |
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218 | !! *** FUNCTION glob_sum_full_2d *** |
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219 | !! |
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220 | !! ** Purpose : perform a sum in calling DDPDD routine |
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221 | !!---------------------------------------------------------------------- |
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222 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab |
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223 | REAL(wp) :: glob_sum_full_2d ! global sum (nomask) |
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224 | !! |
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225 | COMPLEX(wp):: ctmp |
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226 | REAL(wp) :: ztmp |
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227 | INTEGER :: ji, jj ! dummy loop indices |
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228 | !!----------------------------------------------------------------------- |
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229 | ! |
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230 | ztmp = 0.e0 |
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231 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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232 | DO jj = 1, jpj |
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233 | DO ji =1, jpi |
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234 | ztmp = ptab(ji,jj) * tmask_h(ji,jj) |
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235 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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236 | END DO |
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237 | END DO |
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238 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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239 | glob_sum_full_2d = REAL(ctmp,wp) |
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240 | ! |
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241 | END FUNCTION glob_sum_full_2d |
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242 | |
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243 | FUNCTION glob_sum_full_3d( ptab ) |
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244 | !!---------------------------------------------------------------------- |
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245 | !! *** FUNCTION glob_sum_full_3d *** |
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246 | !! |
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247 | !! ** Purpose : perform a sum on a 3D array in calling DDPDD routine |
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248 | !!---------------------------------------------------------------------- |
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249 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab |
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250 | REAL(wp) :: glob_sum_full_3d ! global sum (nomask) |
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251 | !! |
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252 | COMPLEX(wp):: ctmp |
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253 | REAL(wp) :: ztmp |
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254 | INTEGER :: ji, jj, jk ! dummy loop indices |
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255 | INTEGER :: ijpk ! local variables: size of ptab |
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256 | !!----------------------------------------------------------------------- |
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257 | ! |
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258 | ijpk = SIZE(ptab,3) |
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259 | ! |
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260 | ztmp = 0.e0 |
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261 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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262 | DO jk = 1, ijpk |
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263 | DO jj = 1, jpj |
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264 | DO ji =1, jpi |
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265 | ztmp = ptab(ji,jj,jk) * tmask_h(ji,jj) |
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266 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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267 | END DO |
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268 | END DO |
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269 | END DO |
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270 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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271 | glob_sum_full_3d = REAL(ctmp,wp) |
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272 | ! |
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273 | END FUNCTION glob_sum_full_3d |
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274 | |
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275 | ! --- MIN --- |
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276 | FUNCTION glob_min_2d( ptab ) |
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277 | !!----------------------------------------------------------------------- |
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278 | !! *** FUNCTION glob_min_2D *** |
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279 | !! |
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280 | !! ** Purpose : perform a masked min on the inner global domain of a 2D array |
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281 | !!----------------------------------------------------------------------- |
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282 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab ! input 2D array |
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283 | REAL(wp) :: glob_min_2d ! global masked min |
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284 | !!----------------------------------------------------------------------- |
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285 | ! |
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286 | glob_min_2d = MINVAL( ptab(:,:)*tmask_i(:,:) ) |
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287 | IF( lk_mpp ) CALL mpp_min( glob_min_2d ) |
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288 | ! |
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289 | END FUNCTION glob_min_2d |
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290 | |
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291 | FUNCTION glob_min_3d( ptab ) |
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292 | !!----------------------------------------------------------------------- |
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293 | !! *** FUNCTION glob_min_3D *** |
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294 | !! |
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295 | !! ** Purpose : perform a masked min on the inner global domain of a 3D array |
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296 | !!----------------------------------------------------------------------- |
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297 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab ! input 3D array |
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298 | REAL(wp) :: glob_min_3d ! global masked min |
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299 | !! |
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300 | INTEGER :: jk |
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301 | INTEGER :: ijpk ! local variable: size of the 3d dimension of ptab |
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302 | !!----------------------------------------------------------------------- |
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303 | ! |
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304 | ijpk = SIZE(ptab,3) |
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305 | ! |
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306 | glob_min_3d = MINVAL( ptab(:,:,1)*tmask_i(:,:) ) |
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307 | DO jk = 2, ijpk |
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308 | glob_min_3d = MIN( glob_min_3d, MINVAL( ptab(:,:,jk)*tmask_i(:,:) ) ) |
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309 | END DO |
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310 | IF( lk_mpp ) CALL mpp_min( glob_min_3d ) |
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311 | ! |
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312 | END FUNCTION glob_min_3d |
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313 | |
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314 | |
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315 | FUNCTION glob_min_2d_a( ptab1, ptab2 ) |
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316 | !!----------------------------------------------------------------------- |
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317 | !! *** FUNCTION glob_min_2D _a *** |
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318 | !! |
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319 | !! ** Purpose : perform a masked min on the inner global domain of two 2D array |
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320 | !!----------------------------------------------------------------------- |
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321 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab1, ptab2 ! input 2D array |
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322 | REAL(wp) , DIMENSION(2) :: glob_min_2d_a ! global masked min |
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323 | !!----------------------------------------------------------------------- |
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324 | ! |
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325 | glob_min_2d_a(1) = MINVAL( ptab1(:,:)*tmask_i(:,:) ) |
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326 | glob_min_2d_a(2) = MINVAL( ptab2(:,:)*tmask_i(:,:) ) |
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327 | IF( lk_mpp ) CALL mpp_min( glob_min_2d_a, 2 ) |
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328 | ! |
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329 | END FUNCTION glob_min_2d_a |
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330 | |
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331 | |
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332 | FUNCTION glob_min_3d_a( ptab1, ptab2 ) |
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333 | !!----------------------------------------------------------------------- |
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334 | !! *** FUNCTION glob_min_3D_a *** |
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335 | !! |
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336 | !! ** Purpose : perform a masked min on the inner global domain of two 3D array |
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337 | !!----------------------------------------------------------------------- |
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338 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab1, ptab2 ! input 3D array |
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339 | REAL(wp) , DIMENSION(2) :: glob_min_3d_a ! global masked min |
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340 | !! |
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341 | INTEGER :: jk |
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342 | INTEGER :: ijpk ! local variable: size of the 3d dimension of ptab |
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343 | !!----------------------------------------------------------------------- |
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344 | ! |
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345 | ijpk = SIZE(ptab1,3) |
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346 | ! |
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347 | glob_min_3d_a(1) = MINVAL( ptab1(:,:,1)*tmask_i(:,:) ) |
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348 | glob_min_3d_a(2) = MINVAL( ptab2(:,:,1)*tmask_i(:,:) ) |
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349 | DO jk = 2, ijpk |
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350 | glob_min_3d_a(1) = MIN( glob_min_3d_a(1), MINVAL( ptab1(:,:,jk)*tmask_i(:,:) ) ) |
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351 | glob_min_3d_a(2) = MIN( glob_min_3d_a(2), MINVAL( ptab2(:,:,jk)*tmask_i(:,:) ) ) |
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352 | END DO |
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353 | IF( lk_mpp ) CALL mpp_min( glob_min_3d_a, 2 ) |
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354 | ! |
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355 | END FUNCTION glob_min_3d_a |
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356 | |
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357 | ! --- MAX --- |
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358 | FUNCTION glob_max_2d( ptab ) |
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359 | !!----------------------------------------------------------------------- |
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360 | !! *** FUNCTION glob_max_2D *** |
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361 | !! |
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362 | !! ** Purpose : perform a masked max on the inner global domain of a 2D array |
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363 | !!----------------------------------------------------------------------- |
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364 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab ! input 2D array |
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365 | REAL(wp) :: glob_max_2d ! global masked max |
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366 | !!----------------------------------------------------------------------- |
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367 | ! |
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368 | glob_max_2d = MAXVAL( ptab(:,:)*tmask_i(:,:) ) |
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369 | IF( lk_mpp ) CALL mpp_max( glob_max_2d ) |
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370 | ! |
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371 | END FUNCTION glob_max_2d |
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372 | |
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373 | FUNCTION glob_max_3d( ptab ) |
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374 | !!----------------------------------------------------------------------- |
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375 | !! *** FUNCTION glob_max_3D *** |
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376 | !! |
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377 | !! ** Purpose : perform a masked max on the inner global domain of a 3D array |
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378 | !!----------------------------------------------------------------------- |
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379 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab ! input 3D array |
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380 | REAL(wp) :: glob_max_3d ! global masked max |
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381 | !! |
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382 | INTEGER :: jk |
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383 | INTEGER :: ijpk ! local variable: size of the 3d dimension of ptab |
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384 | !!----------------------------------------------------------------------- |
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385 | ! |
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386 | ijpk = SIZE(ptab,3) |
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387 | ! |
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388 | glob_max_3d = MAXVAL( ptab(:,:,1)*tmask_i(:,:) ) |
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389 | DO jk = 2, ijpk |
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390 | glob_max_3d = MAX( glob_max_3d, MAXVAL( ptab(:,:,jk)*tmask_i(:,:) ) ) |
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391 | END DO |
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392 | IF( lk_mpp ) CALL mpp_max( glob_max_3d ) |
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393 | ! |
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394 | END FUNCTION glob_max_3d |
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395 | |
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396 | |
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397 | FUNCTION glob_max_2d_a( ptab1, ptab2 ) |
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398 | !!----------------------------------------------------------------------- |
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399 | !! *** FUNCTION glob_max_2D _a *** |
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400 | !! |
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401 | !! ** Purpose : perform a masked max on the inner global domain of two 2D array |
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402 | !!----------------------------------------------------------------------- |
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403 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab1, ptab2 ! input 2D array |
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404 | REAL(wp) , DIMENSION(2) :: glob_max_2d_a ! global masked max |
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405 | !!----------------------------------------------------------------------- |
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406 | ! |
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407 | glob_max_2d_a(1) = MAXVAL( ptab1(:,:)*tmask_i(:,:) ) |
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408 | glob_max_2d_a(2) = MAXVAL( ptab2(:,:)*tmask_i(:,:) ) |
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409 | IF( lk_mpp ) CALL mpp_max( glob_max_2d_a, 2 ) |
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410 | ! |
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411 | END FUNCTION glob_max_2d_a |
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412 | |
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413 | |
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414 | FUNCTION glob_max_3d_a( ptab1, ptab2 ) |
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415 | !!----------------------------------------------------------------------- |
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416 | !! *** FUNCTION glob_max_3D_a *** |
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417 | !! |
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418 | !! ** Purpose : perform a masked max on the inner global domain of two 3D array |
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419 | !!----------------------------------------------------------------------- |
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420 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab1, ptab2 ! input 3D array |
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421 | REAL(wp) , DIMENSION(2) :: glob_max_3d_a ! global masked max |
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422 | !! |
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423 | INTEGER :: jk |
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424 | INTEGER :: ijpk ! local variable: size of the 3d dimension of ptab |
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425 | !!----------------------------------------------------------------------- |
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426 | ! |
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427 | ijpk = SIZE(ptab1,3) |
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428 | ! |
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429 | glob_max_3d_a(1) = MAXVAL( ptab1(:,:,1)*tmask_i(:,:) ) |
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430 | glob_max_3d_a(2) = MAXVAL( ptab2(:,:,1)*tmask_i(:,:) ) |
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431 | DO jk = 2, ijpk |
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432 | glob_max_3d_a(1) = MAX( glob_max_3d_a(1), MAXVAL( ptab1(:,:,jk)*tmask_i(:,:) ) ) |
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433 | glob_max_3d_a(2) = MAX( glob_max_3d_a(2), MAXVAL( ptab2(:,:,jk)*tmask_i(:,:) ) ) |
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434 | END DO |
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435 | IF( lk_mpp ) CALL mpp_max( glob_max_3d_a, 2 ) |
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436 | ! |
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437 | END FUNCTION glob_max_3d_a |
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438 | |
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439 | |
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440 | SUBROUTINE DDPDD( ydda, yddb ) |
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441 | !!---------------------------------------------------------------------- |
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442 | !! *** ROUTINE DDPDD *** |
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443 | !! |
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444 | !! ** Purpose : Add a scalar element to a sum |
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445 | !! |
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446 | !! |
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447 | !! ** Method : The code uses the compensated summation with doublet |
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448 | !! (sum,error) emulated useing complex numbers. ydda is the |
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449 | !! scalar to add to the summ yddb |
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450 | !! |
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451 | !! ** Action : This does only work for MPI. |
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452 | !! |
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453 | !! References : Using Acurate Arithmetics to Improve Numerical |
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454 | !! Reproducibility and Sability in Parallel Applications |
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455 | !! Yun HE and Chris H. Q. DING, Journal of Supercomputing 18, 259-277, 2001 |
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456 | !!---------------------------------------------------------------------- |
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457 | COMPLEX(wp), INTENT(in ) :: ydda |
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458 | COMPLEX(wp), INTENT(inout) :: yddb |
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459 | ! |
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460 | REAL(wp) :: zerr, zt1, zt2 ! local work variables |
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461 | !!----------------------------------------------------------------------- |
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462 | ! |
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463 | ! Compute ydda + yddb using Knuth's trick. |
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464 | zt1 = REAL(ydda) + REAL(yddb) |
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465 | zerr = zt1 - REAL(ydda) |
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466 | zt2 = ( (REAL(yddb) - zerr) + (REAL(ydda) - (zt1 - zerr)) ) & |
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467 | & + AIMAG(ydda) + AIMAG(yddb) |
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468 | ! |
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469 | ! The result is t1 + t2, after normalization. |
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470 | yddb = CMPLX( zt1 + zt2, zt2 - ((zt1 + zt2) - zt1), wp ) |
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471 | ! |
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472 | END SUBROUTINE DDPDD |
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473 | |
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474 | #if defined key_nosignedzero |
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475 | !!---------------------------------------------------------------------- |
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476 | !! 'key_nosignedzero' F90 SIGN |
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477 | !!---------------------------------------------------------------------- |
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478 | |
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479 | FUNCTION SIGN_SCALAR( pa, pb ) |
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480 | !!----------------------------------------------------------------------- |
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481 | !! *** FUNCTION SIGN_SCALAR *** |
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482 | !! |
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483 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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484 | !!----------------------------------------------------------------------- |
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485 | REAL(wp) :: pa,pb ! input |
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486 | REAL(wp) :: SIGN_SCALAR ! result |
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487 | !!----------------------------------------------------------------------- |
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488 | IF ( pb >= 0.e0) THEN ; SIGN_SCALAR = ABS(pa) |
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489 | ELSE ; SIGN_SCALAR =-ABS(pa) |
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490 | ENDIF |
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491 | END FUNCTION SIGN_SCALAR |
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492 | |
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493 | |
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494 | FUNCTION SIGN_ARRAY_1D( pa, pb ) |
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495 | !!----------------------------------------------------------------------- |
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496 | !! *** FUNCTION SIGN_ARRAY_1D *** |
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497 | !! |
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498 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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499 | !!----------------------------------------------------------------------- |
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500 | REAL(wp) :: pa,pb(:) ! input |
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501 | REAL(wp) :: SIGN_ARRAY_1D(SIZE(pb,1)) ! result |
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502 | !!----------------------------------------------------------------------- |
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503 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D = ABS(pa) |
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504 | ELSEWHERE ; SIGN_ARRAY_1D =-ABS(pa) |
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505 | END WHERE |
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506 | END FUNCTION SIGN_ARRAY_1D |
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507 | |
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508 | |
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509 | FUNCTION SIGN_ARRAY_2D(pa,pb) |
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510 | !!----------------------------------------------------------------------- |
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511 | !! *** FUNCTION SIGN_ARRAY_2D *** |
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512 | !! |
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513 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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514 | !!----------------------------------------------------------------------- |
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515 | REAL(wp) :: pa,pb(:,:) ! input |
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516 | REAL(wp) :: SIGN_ARRAY_2D(SIZE(pb,1),SIZE(pb,2)) ! result |
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517 | !!----------------------------------------------------------------------- |
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518 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D = ABS(pa) |
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519 | ELSEWHERE ; SIGN_ARRAY_2D =-ABS(pa) |
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520 | END WHERE |
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521 | END FUNCTION SIGN_ARRAY_2D |
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522 | |
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523 | FUNCTION SIGN_ARRAY_3D(pa,pb) |
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524 | !!----------------------------------------------------------------------- |
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525 | !! *** FUNCTION SIGN_ARRAY_3D *** |
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526 | !! |
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527 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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528 | !!----------------------------------------------------------------------- |
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529 | REAL(wp) :: pa,pb(:,:,:) ! input |
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530 | REAL(wp) :: SIGN_ARRAY_3D(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result |
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531 | !!----------------------------------------------------------------------- |
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532 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D = ABS(pa) |
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533 | ELSEWHERE ; SIGN_ARRAY_3D =-ABS(pa) |
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534 | END WHERE |
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535 | END FUNCTION SIGN_ARRAY_3D |
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536 | |
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537 | |
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538 | FUNCTION SIGN_ARRAY_1D_A(pa,pb) |
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539 | !!----------------------------------------------------------------------- |
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540 | !! *** FUNCTION SIGN_ARRAY_1D_A *** |
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541 | !! |
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542 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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543 | !!----------------------------------------------------------------------- |
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544 | REAL(wp) :: pa(:),pb(:) ! input |
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545 | REAL(wp) :: SIGN_ARRAY_1D_A(SIZE(pb,1)) ! result |
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546 | !!----------------------------------------------------------------------- |
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547 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D_A = ABS(pa) |
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548 | ELSEWHERE ; SIGN_ARRAY_1D_A =-ABS(pa) |
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549 | END WHERE |
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550 | END FUNCTION SIGN_ARRAY_1D_A |
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551 | |
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552 | |
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553 | FUNCTION SIGN_ARRAY_2D_A(pa,pb) |
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554 | !!----------------------------------------------------------------------- |
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555 | !! *** FUNCTION SIGN_ARRAY_2D_A *** |
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556 | !! |
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557 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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558 | !!----------------------------------------------------------------------- |
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559 | REAL(wp) :: pa(:,:),pb(:,:) ! input |
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560 | REAL(wp) :: SIGN_ARRAY_2D_A(SIZE(pb,1),SIZE(pb,2)) ! result |
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561 | !!----------------------------------------------------------------------- |
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562 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D_A = ABS(pa) |
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563 | ELSEWHERE ; SIGN_ARRAY_2D_A =-ABS(pa) |
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564 | END WHERE |
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565 | END FUNCTION SIGN_ARRAY_2D_A |
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566 | |
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567 | |
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568 | FUNCTION SIGN_ARRAY_3D_A(pa,pb) |
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569 | !!----------------------------------------------------------------------- |
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570 | !! *** FUNCTION SIGN_ARRAY_3D_A *** |
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571 | !! |
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572 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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573 | !!----------------------------------------------------------------------- |
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574 | REAL(wp) :: pa(:,:,:),pb(:,:,:) ! input |
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575 | REAL(wp) :: SIGN_ARRAY_3D_A(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result |
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576 | !!----------------------------------------------------------------------- |
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577 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D_A = ABS(pa) |
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578 | ELSEWHERE ; SIGN_ARRAY_3D_A =-ABS(pa) |
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579 | END WHERE |
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580 | END FUNCTION SIGN_ARRAY_3D_A |
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581 | |
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582 | |
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583 | FUNCTION SIGN_ARRAY_1D_B(pa,pb) |
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584 | !!----------------------------------------------------------------------- |
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585 | !! *** FUNCTION SIGN_ARRAY_1D_B *** |
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586 | !! |
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587 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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588 | !!----------------------------------------------------------------------- |
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589 | REAL(wp) :: pa(:),pb ! input |
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590 | REAL(wp) :: SIGN_ARRAY_1D_B(SIZE(pa,1)) ! result |
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591 | !!----------------------------------------------------------------------- |
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592 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_1D_B = ABS(pa) |
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593 | ELSE ; SIGN_ARRAY_1D_B =-ABS(pa) |
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594 | ENDIF |
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595 | END FUNCTION SIGN_ARRAY_1D_B |
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596 | |
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597 | |
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598 | FUNCTION SIGN_ARRAY_2D_B(pa,pb) |
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599 | !!----------------------------------------------------------------------- |
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600 | !! *** FUNCTION SIGN_ARRAY_2D_B *** |
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601 | !! |
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602 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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603 | !!----------------------------------------------------------------------- |
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604 | REAL(wp) :: pa(:,:),pb ! input |
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605 | REAL(wp) :: SIGN_ARRAY_2D_B(SIZE(pa,1),SIZE(pa,2)) ! result |
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606 | !!----------------------------------------------------------------------- |
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607 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_2D_B = ABS(pa) |
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608 | ELSE ; SIGN_ARRAY_2D_B =-ABS(pa) |
---|
609 | ENDIF |
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610 | END FUNCTION SIGN_ARRAY_2D_B |
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611 | |
---|
612 | |
---|
613 | FUNCTION SIGN_ARRAY_3D_B(pa,pb) |
---|
614 | !!----------------------------------------------------------------------- |
---|
615 | !! *** FUNCTION SIGN_ARRAY_3D_B *** |
---|
616 | !! |
---|
617 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
---|
618 | !!----------------------------------------------------------------------- |
---|
619 | REAL(wp) :: pa(:,:,:),pb ! input |
---|
620 | REAL(wp) :: SIGN_ARRAY_3D_B(SIZE(pa,1),SIZE(pa,2),SIZE(pa,3)) ! result |
---|
621 | !!----------------------------------------------------------------------- |
---|
622 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_3D_B = ABS(pa) |
---|
623 | ELSE ; SIGN_ARRAY_3D_B =-ABS(pa) |
---|
624 | ENDIF |
---|
625 | END FUNCTION SIGN_ARRAY_3D_B |
---|
626 | #endif |
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627 | |
---|
628 | !!====================================================================== |
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629 | END MODULE lib_fortran |
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