1 | SUBROUTINE recombin_corrk(q,ip,it) |
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2 | |
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3 | ! =================================================================== |
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4 | ! Purpose |
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5 | ! ------- |
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6 | ! Recombine correlated-k of individual species in a unique corr-k. |
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7 | ! |
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8 | ! -> See Lacis and Oinas (1991), Amundsen et al (2016). |
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9 | ! |
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10 | ! One important hypothesis is that we assume random overlap |
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11 | ! Steps are - 1. Recombining ( Convolution spectra of two species ) |
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12 | ! 2. Resorting the ngauss*ngauss obtained data |
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13 | ! 3. Rebin down to a smaller amount of bin ( here ngauss ) |
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14 | ! 4. Start again if another specie have to be included |
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15 | ! |
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16 | ! In each band computation is done only for species with enough optical depth. |
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17 | ! |
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18 | ! Authors |
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19 | ! ------- |
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20 | ! J. Vatant d'Ollone (2018) |
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21 | ! ==================================================================== |
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22 | |
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23 | USE radinc_h |
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24 | USE radcommon_h, only: gasi, gasv, gasi_recomb, gasv_recomb, & |
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25 | gweight, pqrold, permut_idx, tlimit, w_cum |
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26 | USE sort_mod, only: qsort, isort |
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27 | |
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28 | !----------------------------------------------------------------------- |
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29 | ! Declarations: |
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30 | ! ------------- |
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31 | |
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32 | IMPLICIT NONE |
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33 | |
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34 | ! Arguments : |
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35 | ! ----------- |
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36 | REAL, DIMENSION(L_REFVAR), INTENT(IN) :: q |
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37 | |
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38 | INTEGER, INTENT(IN) :: ip |
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39 | INTEGER, INTENT(IN) :: it |
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40 | |
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41 | ! Local variables : |
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42 | ! ----------------- |
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43 | INTEGER :: iw, ispec, ig, jg, ind, ibin |
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44 | |
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45 | REAL, DIMENSION(L_NGAUSS) :: krecomb |
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46 | |
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47 | REAL, DIMENSION(L_NGAUSS*L_NGAUSS) :: ktwospec |
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48 | REAL, DIMENSION(L_NGAUSS*L_NGAUSS) :: ktwospec_s |
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49 | REAL, DIMENSION(L_NGAUSS*L_NGAUSS) :: wtwospec |
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50 | REAL, DIMENSION(L_NGAUSS*L_NGAUSS) :: wtwospec_s |
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51 | REAL, DIMENSION(L_NGAUSS*L_NGAUSS) :: wtwospec_cum |
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52 | |
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53 | REAL, DIMENSION(L_REFVAR,L_NGAUSS) :: tmpk |
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54 | |
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55 | REAL :: wsplit |
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56 | |
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57 | |
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58 | ! ------------------- |
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59 | ! I. INFRARED |
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60 | ! ------------------- |
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61 | |
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62 | DO iw=1,L_NSPECTI |
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63 | |
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64 | krecomb(:) = q(1)*gasi(it,ip,1,iw,:) ! init for > 1 loop and works also if only one active specie |
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65 | |
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66 | tmpk(:,:) = gasi(it,ip,:,iw,:) |
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67 | |
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68 | IF ( L_REFVAR .GT. 1 ) THEN |
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69 | |
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70 | DO ispec=2,L_REFVAR |
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71 | |
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72 | ! Save ( a lot of ) CPU time, we don't add the specie if negligible absorption in the band |
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73 | IF ( q(ispec)*tmpk(ispec,L_NGAUSS-1) .LE. tlimit ) CYCLE |
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74 | ! IF ( tmpk(ispec,L_NGAUSS-1) .LE. tlimit ) CYCLE |
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75 | |
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76 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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77 | ! 1. Recombining ~~~~~~~~~~~~~~~~~~~~~~~~~ |
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78 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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79 | DO ig=1,L_NGAUSS |
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80 | DO jg=1, L_NGAUSS |
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81 | ind = jg+(ig-1)*L_NGAUSS |
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82 | ktwospec(ind) = krecomb(ig)+q(ispec)*tmpk(ispec,jg) |
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83 | wtwospec(ind) = gweight(ig)*gweight(jg) |
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84 | ENDDO |
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85 | ENDDO |
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86 | |
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87 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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88 | ! 2. Resorting ~~~~~~~~~~~~~~~~~~~~~~~ |
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89 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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90 | |
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91 | ! Pre-sort from last step ( we have always a similar regular pattern ) to gain time for sorting |
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92 | ! NB : quite small array, quicker to permut with 2nd array than in place |
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93 | DO ind=1,L_NGAUSS*L_NGAUSS |
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94 | ktwospec_s(ind) = ktwospec(permut_idx(ind)) ! NB : won't do anything at firstcall |
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95 | ENDDO |
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96 | |
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97 | CALL isort(ktwospec_s,L_NGAUSS*L_NGAUSS,permut_idx) ! Insertion sort quicker because pre-sorted |
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98 | !CALL qsort(ktwospec_s,L_NGAUSS*L_NGAUSS,permut_idx) ! Quicksort slower for pre-sorted |
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99 | |
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100 | ! Sort w according to permutations of k. |
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101 | ! NB : quite small array, quicker to permut with 2nd array than in place |
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102 | DO ind=1,L_NGAUSS*L_NGAUSS |
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103 | wtwospec_s(ind) = wtwospec(permut_idx(ind)) |
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104 | ENDDO |
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105 | |
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106 | wtwospec_cum(1) = wtwospec_s(1) |
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107 | DO ind=2,L_NGAUSS*L_NGAUSS |
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108 | wtwospec_cum(ind)= wtwospec_cum(ind-1)+wtwospec_s(ind) |
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109 | ENDDO |
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110 | |
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111 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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112 | ! 3. Rebinning on smaller amount of Gauss points ~~~~~~~~~~~ |
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113 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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114 | ibin=1 |
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115 | |
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116 | krecomb(:)=0.0 |
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117 | |
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118 | DO ig=1, L_NGAUSS-1 |
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119 | |
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120 | DO ind=ibin,L_NGAUSS*L_NGAUSS ! rather than a while |
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121 | IF ( wtwospec_cum(ind) .GT. w_cum(ig) ) THEN |
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122 | wsplit = w_cum(ig) - wtwospec_cum(ind-1) |
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123 | krecomb(ig) = krecomb(ig) & |
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124 | + sum ( wtwospec_s(ibin:ind-1)*ktwospec_s(ibin:ind-1) ) & |
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125 | + wsplit*ktwospec_s(ind) |
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126 | krecomb(ig+1) = (wtwospec_s(ind)-wsplit)*ktwospec_s(ind) |
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127 | ibin=ind+1 |
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128 | EXIT |
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129 | ENDIF |
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130 | ENDDO |
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131 | |
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132 | krecomb(L_NGAUSS) = krecomb(L_NGAUSS) + sum ( wtwospec_s(ibin:)*ktwospec_s(ibin:) ) |
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133 | |
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134 | ENDDO |
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135 | |
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136 | krecomb(1:L_NGAUSS-1) = krecomb(1:L_NGAUSS-1) / gweight(1:L_NGAUSS-1) ! gw(L_NGAUSS)=0 |
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137 | |
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138 | ENDDO ! ispec=2,L_REFVAR |
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139 | |
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140 | ENDIF ! if L_REFVAR .GT. 1 |
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141 | |
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142 | gasi_recomb(it,ip,iw,:) = krecomb(:) |
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143 | |
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144 | ENDDO ! iw=1,L_NSPECTI |
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145 | |
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146 | |
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147 | ! ---------------- |
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148 | ! II. VISIBLE |
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149 | ! ---------------- |
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150 | |
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151 | DO iw=1,L_NSPECTV |
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152 | |
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153 | krecomb(:) = q(1)*gasv(it,ip,1,iw,:) ! init for > 1 loop and works also if only one active specie |
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154 | |
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155 | tmpk(:,:) = gasv(it,ip,:,iw,:) |
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156 | |
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157 | IF ( L_REFVAR .GT. 1 ) THEN |
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158 | |
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159 | DO ispec=2,L_REFVAR |
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160 | |
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161 | ! Save ( a lot of ) CPU time, we don't add the specie if negligible absorption in the band |
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162 | IF ( q(ispec)*tmpk(ispec,L_NGAUSS-1) .LE. tlimit ) CYCLE |
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163 | ! IF ( tmpk(ispec,L_NGAUSS-1) .LE. tlimit ) CYCLE |
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164 | |
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165 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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166 | ! 1. Recombining ~~~~~~~~~~~~~~~~~~~~~~~~~ |
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167 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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168 | DO ig=1,L_NGAUSS |
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169 | DO jg=1, L_NGAUSS |
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170 | ind = jg+(ig-1)*L_NGAUSS |
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171 | ktwospec(ind) = krecomb(ig)+q(ispec)*tmpk(ispec,jg) |
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172 | wtwospec(ind) = gweight(ig)*gweight(jg) |
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173 | ENDDO |
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174 | ENDDO |
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175 | |
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176 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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177 | ! 2. Resorting ~~~~~~~~~~~~~~~~~~~~~~~ |
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178 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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179 | |
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180 | ! Pre-sort from last call ( we have always a similar regular pattern ) to gain time in sorting |
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181 | ! NB : quite small array, quicker to permut with 2nd array than in place |
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182 | DO ind=1,L_NGAUSS*L_NGAUSS |
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183 | ktwospec_s(ind) = ktwospec(permut_idx(ind)) |
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184 | ENDDO |
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185 | |
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186 | CALL isort(ktwospec_s,L_NGAUSS*L_NGAUSS,permut_idx) ! Insertion sort quicker because pre-sorted |
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187 | !CALL qsort(ktwospec_s,L_NGAUSS*L_NGAUSS,permut_idx) ! Quicksort slower for pre-sorted |
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188 | |
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189 | ! Sort w according to permutations of k. |
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190 | ! NB : quite small array, quicker to permut with copy than in place |
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191 | DO ind=1,L_NGAUSS*L_NGAUSS |
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192 | wtwospec_s(ind) = wtwospec(permut_idx(ind)) |
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193 | ENDDO |
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194 | |
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195 | wtwospec_cum(1) = wtwospec_s(1) |
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196 | DO ind=2,L_NGAUSS*L_NGAUSS |
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197 | wtwospec_cum(ind)= wtwospec_cum(ind-1)+wtwospec_s(ind) |
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198 | ENDDO |
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199 | |
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200 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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201 | ! 3. Rebinning on smaller amount of Gauss points ~~~~~~~~~~~ |
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202 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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203 | ibin=1 |
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204 | |
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205 | krecomb(:)=0.0 |
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206 | |
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207 | DO ig=1, L_NGAUSS-1 |
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208 | |
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209 | DO ind=ibin,L_NGAUSS*L_NGAUSS ! rather than a while |
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210 | IF ( wtwospec_cum(ind) .GT. w_cum(ig) ) THEN |
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211 | wsplit = w_cum(ig) - wtwospec_cum(ind-1) |
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212 | krecomb(ig) = krecomb(ig) & |
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213 | + sum ( wtwospec_s(ibin:ind-1)*ktwospec_s(ibin:ind-1) ) & |
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214 | + wsplit*ktwospec_s(ind) |
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215 | krecomb(ig+1) = (wtwospec_s(ind)-wsplit)*ktwospec_s(ind) |
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216 | ibin=ind+1 |
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217 | EXIT |
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218 | ENDIF |
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219 | ENDDO |
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220 | |
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221 | krecomb(L_NGAUSS) = krecomb(L_NGAUSS) + sum ( wtwospec_s(ibin:)*ktwospec_s(ibin:) ) |
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222 | |
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223 | ENDDO |
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224 | |
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225 | krecomb(1:L_NGAUSS-1) = krecomb(1:L_NGAUSS-1) / gweight(1:L_NGAUSS-1) ! gw(L_NGAUSS)=0 |
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226 | |
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227 | ENDDO ! ispec=2,L_REFVAR |
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228 | |
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229 | ENDIF ! if L_REFVAR .GT. 1 |
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230 | |
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231 | gasv_recomb(it,ip,iw,:) = krecomb(:) |
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232 | |
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233 | ENDDO |
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234 | |
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235 | ! Update saved mixing ratios |
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236 | pqrold(ip,:) = q(:) |
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237 | |
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238 | END SUBROUTINE recombin_corrk |
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239 | |
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