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 | !!---------------------------------------------------------------------- |
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8 | |
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9 | !!---------------------------------------------------------------------- |
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10 | !! glob_sum : generic interface for global masked summation over |
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11 | !! the interior domain for 1 or 2 2D or 3D arrays |
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12 | !! it works only for T points |
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13 | !! SIGN : generic interface for SIGN to overwrite f95 behaviour |
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14 | !! of intrinsinc sign function |
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15 | !!---------------------------------------------------------------------- |
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16 | USE par_oce ! Ocean parameter |
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17 | USE dom_oce ! ocean domain |
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18 | USE in_out_manager ! I/O manager |
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19 | USE lib_mpp ! distributed memory computing |
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20 | |
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21 | IMPLICIT NONE |
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22 | PRIVATE |
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23 | |
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24 | PUBLIC glob_sum ! used in many places |
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25 | PUBLIC DDPDD ! also used in closea module |
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26 | #if defined key_nosignedzero |
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27 | PUBLIC SIGN |
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28 | #endif |
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29 | |
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30 | INTERFACE glob_sum |
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31 | MODULE PROCEDURE glob_sum_2d, glob_sum_3d,glob_sum_2d_a, glob_sum_3d_a |
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32 | END INTERFACE |
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33 | |
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34 | #if defined key_nosignedzero |
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35 | INTERFACE SIGN |
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36 | MODULE PROCEDURE SIGN_SCALAR, SIGN_ARRAY_1D, SIGN_ARRAY_2D, SIGN_ARRAY_3D, & |
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37 | & SIGN_ARRAY_1D_A, SIGN_ARRAY_2D_A, SIGN_ARRAY_3D_A, & |
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38 | & SIGN_ARRAY_1D_B, SIGN_ARRAY_2D_B, SIGN_ARRAY_3D_B |
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39 | END INTERFACE |
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40 | #endif |
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41 | |
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42 | !!---------------------------------------------------------------------- |
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43 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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44 | !! $Id$ |
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45 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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46 | !!---------------------------------------------------------------------- |
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47 | CONTAINS |
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48 | |
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49 | #if ! defined key_mpp_rep |
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50 | |
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51 | FUNCTION glob_sum_2d( ptab ) |
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52 | !!----------------------------------------------------------------------- |
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53 | !! *** FUNCTION glob_sum_2D *** |
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54 | !! |
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55 | !! ** Purpose : perform a masked sum on the inner global domain of a 2D array |
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56 | !!----------------------------------------------------------------------- |
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57 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab ! input 2D array |
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58 | REAL(wp) :: glob_sum_2d ! global masked sum |
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59 | !!----------------------------------------------------------------------- |
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60 | ! |
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61 | glob_sum_2d = SUM( ptab(:,:)*tmask_i(:,:) ) |
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62 | IF( lk_mpp ) CALL mpp_sum( glob_sum_2d ) |
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63 | ! |
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64 | END FUNCTION glob_sum_2d |
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65 | |
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66 | |
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67 | FUNCTION glob_sum_3d( ptab ) |
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68 | !!----------------------------------------------------------------------- |
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69 | !! *** FUNCTION glob_sum_3D *** |
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70 | !! |
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71 | !! ** Purpose : perform a masked sum on the inner global domain of a 3D array |
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72 | !!----------------------------------------------------------------------- |
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73 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab ! input 3D array |
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74 | REAL(wp) :: glob_sum_3d ! global masked sum |
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75 | !! |
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76 | INTEGER :: jk |
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77 | !!----------------------------------------------------------------------- |
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78 | ! |
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79 | glob_sum_3d = 0.e0 |
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80 | DO jk = 1, jpk |
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81 | glob_sum_3d = glob_sum_3d + SUM( ptab(:,:,jk)*tmask_i(:,:) ) |
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82 | END DO |
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83 | IF( lk_mpp ) CALL mpp_sum( glob_sum_3d ) |
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84 | ! |
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85 | END FUNCTION glob_sum_3d |
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86 | |
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87 | |
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88 | FUNCTION glob_sum_2d_a( ptab1, ptab2 ) |
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89 | !!----------------------------------------------------------------------- |
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90 | !! *** FUNCTION glob_sum_2D _a *** |
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91 | !! |
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92 | !! ** Purpose : perform a masked sum on the inner global domain of two 2D array |
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93 | !!----------------------------------------------------------------------- |
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94 | REAL(wp), INTENT(in), DIMENSION(:,:) :: ptab1, ptab2 ! input 2D array |
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95 | REAL(wp) , DIMENSION(2) :: glob_sum_2d_a ! global masked sum |
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96 | !!----------------------------------------------------------------------- |
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97 | ! |
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98 | glob_sum_2d_a(1) = SUM( ptab1(:,:)*tmask_i(:,:) ) |
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99 | glob_sum_2d_a(2) = SUM( ptab2(:,:)*tmask_i(:,:) ) |
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100 | IF( lk_mpp ) CALL mpp_sum( glob_sum_2d_a, 2 ) |
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101 | ! |
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102 | END FUNCTION glob_sum_2d_a |
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103 | |
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104 | |
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105 | FUNCTION glob_sum_3d_a( ptab1, ptab2 ) |
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106 | !!----------------------------------------------------------------------- |
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107 | !! *** FUNCTION glob_sum_3D_a *** |
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108 | !! |
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109 | !! ** Purpose : perform a masked sum on the inner global domain of two 3D array |
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110 | !!----------------------------------------------------------------------- |
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111 | REAL(wp), INTENT(in), DIMENSION(:,:,:) :: ptab1, ptab2 ! input 3D array |
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112 | REAL(wp) , DIMENSION(2) :: glob_sum_3d_a ! global masked sum |
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113 | !! |
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114 | INTEGER :: jk |
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115 | !!----------------------------------------------------------------------- |
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116 | ! |
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117 | glob_sum_3d_a(:) = 0.e0 |
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118 | DO jk = 1, jpk |
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119 | glob_sum_3d_a(1) = glob_sum_3d_a(1) + SUM( ptab1(:,:,jk)*tmask_i(:,:) ) |
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120 | glob_sum_3d_a(2) = glob_sum_3d_a(2) + SUM( ptab2(:,:,jk)*tmask_i(:,:) ) |
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121 | END DO |
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122 | IF( lk_mpp ) CALL mpp_sum( glob_sum_3d_a, 2 ) |
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123 | ! |
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124 | END FUNCTION glob_sum_3d_a |
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125 | |
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126 | #else |
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127 | !!---------------------------------------------------------------------- |
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128 | !! 'key_mpp_rep' MPP reproducibility |
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129 | !!---------------------------------------------------------------------- |
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130 | |
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131 | FUNCTION glob_sum_2d( ptab ) |
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132 | !!---------------------------------------------------------------------- |
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133 | !! *** FUNCTION glob_sum_2d *** |
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134 | !! |
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135 | !! ** Purpose : perform a sum in calling DDPDD routine |
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136 | !!---------------------------------------------------------------------- |
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137 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: ptab |
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138 | REAL(wp) :: glob_sum_2d ! global masked sum |
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139 | !! |
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140 | COMPLEX(wp):: ctmp |
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141 | REAL(wp) :: ztmp |
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142 | INTEGER :: ji, jj ! dummy loop indices |
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143 | !!----------------------------------------------------------------------- |
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144 | ! |
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145 | ztmp = 0.e0 |
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146 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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147 | DO jj = 1, jpj |
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148 | DO ji =1, jpi |
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149 | ztmp = ptab(ji,jj) * tmask_i(ji,jj) |
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150 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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151 | END DO |
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152 | END DO |
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153 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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154 | glob_sum_2d = REAL(ctmp,wp) |
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155 | ! |
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156 | END FUNCTION glob_sum_2d |
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157 | |
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158 | |
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159 | FUNCTION glob_sum_3d( ptab ) |
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160 | !!---------------------------------------------------------------------- |
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161 | !! *** FUNCTION glob_sum_3d *** |
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162 | !! |
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163 | !! ** Purpose : perform a sum on a 3D array in calling DDPDD routine |
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164 | !!---------------------------------------------------------------------- |
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165 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: ptab |
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166 | REAL(wp) :: glob_sum_3d ! global masked sum |
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167 | !! |
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168 | COMPLEX(wp):: ctmp |
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169 | REAL(wp) :: ztmp |
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170 | INTEGER :: ji, jj, jk ! dummy loop indices |
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171 | !!----------------------------------------------------------------------- |
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172 | ! |
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173 | ztmp = 0.e0 |
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174 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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175 | DO jk = 1, jpk |
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176 | DO jj = 1, jpj |
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177 | DO ji =1, jpi |
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178 | ztmp = ptab(ji,jj,jk) * tmask_i(ji,jj) |
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179 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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180 | END DO |
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181 | END DO |
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182 | END DO |
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183 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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184 | glob_sum_3d = REAL(ctmp,wp) |
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185 | ! |
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186 | END FUNCTION glob_sum_3d |
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187 | |
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188 | |
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189 | FUNCTION glob_sum_2d_a( ptab1, ptab2 ) |
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190 | !!---------------------------------------------------------------------- |
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191 | !! *** FUNCTION glob_sum_2d_a *** |
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192 | !! |
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193 | !! ** Purpose : perform a sum on two 2D arrays in calling DDPDD routine |
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194 | !!---------------------------------------------------------------------- |
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195 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: ptab1, ptab2 |
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196 | REAL(wp) :: glob_sum_2d_a ! global masked sum |
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197 | !! |
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198 | COMPLEX(wp):: ctmp |
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199 | REAL(wp) :: ztmp |
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200 | INTEGER :: ji, jj ! dummy loop indices |
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201 | !!----------------------------------------------------------------------- |
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202 | ! |
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203 | ztmp = 0.e0 |
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204 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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205 | DO jj = 1, jpj |
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206 | DO ji =1, jpi |
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207 | ztmp = ptab1(ji,jj) * tmask_i(ji,jj) |
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208 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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209 | ztmp = ptab2(ji,jj) * tmask_i(ji,jj) |
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210 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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211 | END DO |
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212 | END DO |
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213 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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214 | glob_sum_2d_a = REAL(ctmp,wp) |
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215 | ! |
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216 | END FUNCTION glob_sum_2d_a |
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217 | |
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218 | |
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219 | FUNCTION glob_sum_3d_a( ptab1, ptab2 ) |
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220 | !!---------------------------------------------------------------------- |
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221 | !! *** FUNCTION glob_sum_3d_a *** |
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222 | !! |
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223 | !! ** Purpose : perform a sum on two 3D array in calling DDPDD routine |
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224 | !!---------------------------------------------------------------------- |
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225 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: ptab1, ptab2 |
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226 | REAL(wp) :: glob_sum_3d_a ! global masked sum |
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227 | !! |
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228 | COMPLEX(wp):: ctmp |
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229 | REAL(wp) :: ztmp |
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230 | INTEGER :: ji, jj, jk ! dummy loop indices |
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231 | !!----------------------------------------------------------------------- |
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232 | ! |
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233 | ztmp = 0.e0 |
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234 | ctmp = CMPLX( 0.e0, 0.e0, wp ) |
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235 | DO jk = 1, jpk |
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236 | DO jj = 1, jpj |
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237 | DO ji =1, jpi |
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238 | ztmp = ptab1(ji,jj,jk) * tmask_i(ji,jj) |
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239 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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240 | ztmp = ptab2(ji,jj,jk) * tmask_i(ji,jj) |
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241 | CALL DDPDD( CMPLX( ztmp, 0.e0, wp ), ctmp ) |
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242 | END DO |
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243 | END DO |
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244 | END DO |
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245 | IF( lk_mpp ) CALL mpp_sum( ctmp ) ! sum over the global domain |
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246 | glob_sum_3d_a = REAL(ctmp,wp) |
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247 | ! |
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248 | END FUNCTION glob_sum_3d_a |
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249 | |
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250 | #endif |
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251 | |
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252 | SUBROUTINE DDPDD( ydda, yddb ) |
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253 | !!---------------------------------------------------------------------- |
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254 | !! *** ROUTINE DDPDD *** |
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255 | !! |
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256 | !! ** Purpose : Add a scalar element to a sum |
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257 | !! |
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258 | !! |
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259 | !! ** Method : The code uses the compensated summation with doublet |
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260 | !! (sum,error) emulated useing complex numbers. ydda is the |
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261 | !! scalar to add to the summ yddb |
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262 | !! |
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263 | !! ** Action : This does only work for MPI. |
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264 | !! |
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265 | !! References : Using Acurate Arithmetics to Improve Numerical |
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266 | !! Reproducibility and Sability in Parallel Applications |
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267 | !! Yun HE and Chris H. Q. DING, Journal of Supercomputing 18, 259-277, 2001 |
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268 | !!---------------------------------------------------------------------- |
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269 | COMPLEX(wp), INTENT(in ) :: ydda |
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270 | COMPLEX(wp), INTENT(inout) :: yddb |
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271 | ! |
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272 | REAL(wp) :: zerr, zt1, zt2 ! local work variables |
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273 | !!----------------------------------------------------------------------- |
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274 | ! |
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275 | ! Compute ydda + yddb using Knuth's trick. |
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276 | zt1 = REAL(ydda) + REAL(yddb) |
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277 | zerr = zt1 - REAL(ydda) |
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278 | zt2 = ( (REAL(yddb) - zerr) + (REAL(ydda) - (zt1 - zerr)) ) & |
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279 | & + AIMAG(ydda) + AIMAG(yddb) |
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280 | ! |
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281 | ! The result is t1 + t2, after normalization. |
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282 | yddb = CMPLX( zt1 + zt2, zt2 - ((zt1 + zt2) - zt1), wp ) |
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283 | ! |
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284 | END SUBROUTINE DDPDD |
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285 | |
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286 | #if defined key_nosignedzero |
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287 | !!---------------------------------------------------------------------- |
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288 | !! 'key_nosignedzero' F90 SIGN |
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289 | !!---------------------------------------------------------------------- |
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290 | |
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291 | FUNCTION SIGN_SCALAR( pa, pb ) |
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292 | !!----------------------------------------------------------------------- |
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293 | !! *** FUNCTION SIGN_SCALAR *** |
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294 | !! |
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295 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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296 | !!----------------------------------------------------------------------- |
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297 | REAL(wp) :: pa,pb ! input |
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298 | REAL(wp) :: SIGN_SCALAR ! result |
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299 | !!----------------------------------------------------------------------- |
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300 | IF ( pb >= 0.e0) THEN ; SIGN_SCALAR = ABS(pa) |
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301 | ELSE ; SIGN_SCALAR =-ABS(pa) |
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302 | ENDIF |
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303 | END FUNCTION SIGN_SCALAR |
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304 | |
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305 | |
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306 | FUNCTION SIGN_ARRAY_1D( pa, pb ) |
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307 | !!----------------------------------------------------------------------- |
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308 | !! *** FUNCTION SIGN_ARRAY_1D *** |
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309 | !! |
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310 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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311 | !!----------------------------------------------------------------------- |
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312 | REAL(wp) :: pa,pb(:) ! input |
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313 | REAL(wp) :: SIGN_ARRAY_1D(SIZE(pb,1)) ! result |
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314 | !!----------------------------------------------------------------------- |
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315 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D = ABS(pa) |
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316 | ELSEWHERE ; SIGN_ARRAY_1D =-ABS(pa) |
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317 | END WHERE |
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318 | END FUNCTION SIGN_ARRAY_1D |
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319 | |
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320 | |
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321 | FUNCTION SIGN_ARRAY_2D(pa,pb) |
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322 | !!----------------------------------------------------------------------- |
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323 | !! *** FUNCTION SIGN_ARRAY_2D *** |
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324 | !! |
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325 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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326 | !!----------------------------------------------------------------------- |
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327 | REAL(wp) :: pa,pb(:,:) ! input |
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328 | REAL(wp) :: SIGN_ARRAY_2D(SIZE(pb,1),SIZE(pb,2)) ! result |
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329 | !!----------------------------------------------------------------------- |
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330 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D = ABS(pa) |
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331 | ELSEWHERE ; SIGN_ARRAY_2D =-ABS(pa) |
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332 | END WHERE |
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333 | END FUNCTION SIGN_ARRAY_2D |
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334 | |
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335 | FUNCTION SIGN_ARRAY_3D(pa,pb) |
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336 | !!----------------------------------------------------------------------- |
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337 | !! *** FUNCTION SIGN_ARRAY_3D *** |
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338 | !! |
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339 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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340 | !!----------------------------------------------------------------------- |
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341 | REAL(wp) :: pa,pb(:,:,:) ! input |
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342 | REAL(wp) :: SIGN_ARRAY_3D(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result |
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343 | !!----------------------------------------------------------------------- |
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344 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D = ABS(pa) |
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345 | ELSEWHERE ; SIGN_ARRAY_3D =-ABS(pa) |
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346 | END WHERE |
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347 | END FUNCTION SIGN_ARRAY_3D |
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348 | |
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349 | |
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350 | FUNCTION SIGN_ARRAY_1D_A(pa,pb) |
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351 | !!----------------------------------------------------------------------- |
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352 | !! *** FUNCTION SIGN_ARRAY_1D_A *** |
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353 | !! |
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354 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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355 | !!----------------------------------------------------------------------- |
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356 | REAL(wp) :: pa(:),pb(:) ! input |
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357 | REAL(wp) :: SIGN_ARRAY_1D_A(SIZE(pb,1)) ! result |
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358 | !!----------------------------------------------------------------------- |
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359 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_1D_A = ABS(pa) |
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360 | ELSEWHERE ; SIGN_ARRAY_1D_A =-ABS(pa) |
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361 | END WHERE |
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362 | END FUNCTION SIGN_ARRAY_1D_A |
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363 | |
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364 | |
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365 | FUNCTION SIGN_ARRAY_2D_A(pa,pb) |
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366 | !!----------------------------------------------------------------------- |
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367 | !! *** FUNCTION SIGN_ARRAY_2D_A *** |
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368 | !! |
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369 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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370 | !!----------------------------------------------------------------------- |
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371 | REAL(wp) :: pa(:,:),pb(:,:) ! input |
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372 | REAL(wp) :: SIGN_ARRAY_2D_A(SIZE(pb,1),SIZE(pb,2)) ! result |
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373 | !!----------------------------------------------------------------------- |
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374 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_2D_A = ABS(pa) |
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375 | ELSEWHERE ; SIGN_ARRAY_2D_A =-ABS(pa) |
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376 | END WHERE |
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377 | END FUNCTION SIGN_ARRAY_2D_A |
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378 | |
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379 | |
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380 | FUNCTION SIGN_ARRAY_3D_A(pa,pb) |
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381 | !!----------------------------------------------------------------------- |
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382 | !! *** FUNCTION SIGN_ARRAY_3D_A *** |
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383 | !! |
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384 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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385 | !!----------------------------------------------------------------------- |
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386 | REAL(wp) :: pa(:,:,:),pb(:,:,:) ! input |
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387 | REAL(wp) :: SIGN_ARRAY_3D_A(SIZE(pb,1),SIZE(pb,2),SIZE(pb,3)) ! result |
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388 | !!----------------------------------------------------------------------- |
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389 | WHERE ( pb >= 0.e0 ) ; SIGN_ARRAY_3D_A = ABS(pa) |
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390 | ELSEWHERE ; SIGN_ARRAY_3D_A =-ABS(pa) |
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391 | END WHERE |
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392 | END FUNCTION SIGN_ARRAY_3D_A |
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393 | |
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394 | |
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395 | FUNCTION SIGN_ARRAY_1D_B(pa,pb) |
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396 | !!----------------------------------------------------------------------- |
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397 | !! *** FUNCTION SIGN_ARRAY_1D_B *** |
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398 | !! |
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399 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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400 | !!----------------------------------------------------------------------- |
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401 | REAL(wp) :: pa(:),pb ! input |
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402 | REAL(wp) :: SIGN_ARRAY_1D_B(SIZE(pa,1)) ! result |
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403 | !!----------------------------------------------------------------------- |
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404 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_1D_B = ABS(pa) |
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405 | ELSE ; SIGN_ARRAY_1D_B =-ABS(pa) |
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406 | ENDIF |
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407 | END FUNCTION SIGN_ARRAY_1D_B |
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408 | |
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409 | |
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410 | FUNCTION SIGN_ARRAY_2D_B(pa,pb) |
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411 | !!----------------------------------------------------------------------- |
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412 | !! *** FUNCTION SIGN_ARRAY_2D_B *** |
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413 | !! |
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414 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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415 | !!----------------------------------------------------------------------- |
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416 | REAL(wp) :: pa(:,:),pb ! input |
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417 | REAL(wp) :: SIGN_ARRAY_2D_B(SIZE(pa,1),SIZE(pa,2)) ! result |
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418 | !!----------------------------------------------------------------------- |
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419 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_2D_B = ABS(pa) |
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420 | ELSE ; SIGN_ARRAY_2D_B =-ABS(pa) |
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421 | ENDIF |
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422 | END FUNCTION SIGN_ARRAY_2D_B |
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423 | |
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424 | |
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425 | FUNCTION SIGN_ARRAY_3D_B(pa,pb) |
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426 | !!----------------------------------------------------------------------- |
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427 | !! *** FUNCTION SIGN_ARRAY_3D_B *** |
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428 | !! |
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429 | !! ** Purpose : overwrite f95 behaviour of intrinsinc sign function |
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430 | !!----------------------------------------------------------------------- |
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431 | REAL(wp) :: pa(:,:,:),pb ! input |
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432 | REAL(wp) :: SIGN_ARRAY_3D_B(SIZE(pa,1),SIZE(pa,2),SIZE(pa,3)) ! result |
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433 | !!----------------------------------------------------------------------- |
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434 | IF( pb >= 0.e0 ) THEN ; SIGN_ARRAY_3D_B = ABS(pa) |
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435 | ELSE ; SIGN_ARRAY_3D_B =-ABS(pa) |
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436 | ENDIF |
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437 | END FUNCTION SIGN_ARRAY_3D_B |
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438 | #endif |
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439 | |
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440 | !!====================================================================== |
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441 | END MODULE lib_fortran |
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