1 | ! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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2 | ! Copyright (c) 2015, Regents of the University of Colorado |
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3 | ! All rights reserved. |
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4 | ! |
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5 | ! Redistribution and use in source and binary forms, with or without modification, are |
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6 | ! permitted provided that the following conditions are met: |
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7 | ! |
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8 | ! 1. Redistributions of source code must retain the above copyright notice, this list of |
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9 | ! conditions and the following disclaimer. |
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10 | ! |
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11 | ! 2. Redistributions in binary form must reproduce the above copyright notice, this list |
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12 | ! of conditions and the following disclaimer in the documentation and/or other |
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13 | ! materials provided with the distribution. |
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14 | ! |
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15 | ! 3. Neither the name of the copyright holder nor the names of its contributors may be |
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16 | ! used to endorse or promote products derived from this software without specific prior |
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17 | ! written permission. |
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18 | ! |
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19 | ! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY |
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20 | ! EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF |
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21 | ! MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL |
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22 | ! THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
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23 | ! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT |
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24 | ! OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS |
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25 | ! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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26 | ! LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
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27 | ! OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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28 | ! |
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29 | ! History: |
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30 | ! May 2015: Dustin Swales - Modified for COSPv2.0 |
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31 | ! |
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32 | ! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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33 | Module m_mrgrnk |
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34 | USE COSP_KINDS, ONLY: wp |
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35 | Integer, Parameter :: kdp = selected_real_kind(15) |
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36 | public :: mrgrnk |
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37 | private :: kdp |
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38 | private :: R_mrgrnk, I_mrgrnk, D_mrgrnk |
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39 | |
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40 | interface mrgrnk |
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41 | ! module procedure D_mrgrnk, R_mrgrnk, I_mrgrnk |
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42 | module procedure R_mrgrnk, I_mrgrnk |
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43 | |
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44 | end interface |
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45 | contains |
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46 | |
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47 | Subroutine D_mrgrnk (XDONT, IRNGT) |
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48 | ! __________________________________________________________ |
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49 | ! MRGRNK = Merge-sort ranking of an array |
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50 | ! For performance reasons, the first 2 passes are taken |
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51 | ! out of the standard loop, and use dedicated coding. |
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52 | ! __________________________________________________________ |
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53 | ! __________________________________________________________ |
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54 | Real (wp), Dimension (:), Intent (In) :: XDONT |
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55 | Integer, Dimension (:), Intent (Out) :: IRNGT |
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56 | ! __________________________________________________________ |
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57 | Real (wp) :: XVALA, XVALB |
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58 | ! |
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59 | Integer, Dimension (SIZE(IRNGT)) :: JWRKT |
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60 | Integer :: LMTNA, LMTNC, IRNG1, IRNG2 |
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61 | Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB |
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62 | ! |
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63 | NVAL = Min (SIZE(XDONT), SIZE(IRNGT)) |
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64 | Select Case (NVAL) |
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65 | Case (:0) |
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66 | Return |
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67 | Case (1) |
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68 | IRNGT (1) = 1 |
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69 | Return |
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70 | Case Default |
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71 | Continue |
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72 | End Select |
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73 | ! |
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74 | ! Fill-in the index array, creating ordered couples |
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75 | ! |
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76 | Do IIND = 2, NVAL, 2 |
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77 | If (XDONT(IIND-1) <= XDONT(IIND)) Then |
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78 | IRNGT (IIND-1) = IIND - 1 |
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79 | IRNGT (IIND) = IIND |
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80 | Else |
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81 | IRNGT (IIND-1) = IIND |
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82 | IRNGT (IIND) = IIND - 1 |
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83 | End If |
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84 | End Do |
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85 | If (Modulo(NVAL, 2) /= 0) Then |
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86 | IRNGT (NVAL) = NVAL |
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87 | End If |
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88 | ! |
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89 | ! We will now have ordered subsets A - B - A - B - ... |
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90 | ! and merge A and B couples into C - C - ... |
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91 | ! |
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92 | LMTNA = 2 |
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93 | LMTNC = 4 |
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94 | ! |
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95 | ! First iteration. The length of the ordered subsets goes from 2 to 4 |
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96 | ! |
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97 | Do |
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98 | If (NVAL <= 2) Exit |
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99 | ! |
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100 | ! Loop on merges of A and B into C |
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101 | ! |
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102 | Do IWRKD = 0, NVAL - 1, 4 |
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103 | If ((IWRKD+4) > NVAL) Then |
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104 | If ((IWRKD+2) >= NVAL) Exit |
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105 | ! |
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106 | ! 1 2 3 |
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107 | ! |
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108 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit |
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109 | ! |
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110 | ! 1 3 2 |
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111 | ! |
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112 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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113 | IRNG2 = IRNGT (IWRKD+2) |
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114 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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115 | IRNGT (IWRKD+3) = IRNG2 |
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116 | ! |
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117 | ! 3 1 2 |
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118 | ! |
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119 | Else |
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120 | IRNG1 = IRNGT (IWRKD+1) |
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121 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
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122 | IRNGT (IWRKD+3) = IRNGT (IWRKD+2) |
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123 | IRNGT (IWRKD+2) = IRNG1 |
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124 | End If |
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125 | Exit |
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126 | End If |
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127 | ! |
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128 | ! 1 2 3 4 |
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129 | ! |
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130 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle |
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131 | ! |
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132 | ! 1 3 x x |
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133 | ! |
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134 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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135 | IRNG2 = IRNGT (IWRKD+2) |
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136 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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137 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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138 | ! 1 3 2 4 |
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139 | IRNGT (IWRKD+3) = IRNG2 |
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140 | Else |
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141 | ! 1 3 4 2 |
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142 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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143 | IRNGT (IWRKD+4) = IRNG2 |
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144 | End If |
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145 | ! |
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146 | ! 3 x x x |
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147 | ! |
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148 | Else |
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149 | IRNG1 = IRNGT (IWRKD+1) |
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150 | IRNG2 = IRNGT (IWRKD+2) |
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151 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
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152 | If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then |
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153 | IRNGT (IWRKD+2) = IRNG1 |
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154 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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155 | ! 3 1 2 4 |
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156 | IRNGT (IWRKD+3) = IRNG2 |
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157 | Else |
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158 | ! 3 1 4 2 |
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159 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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160 | IRNGT (IWRKD+4) = IRNG2 |
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161 | End If |
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162 | Else |
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163 | ! 3 4 1 2 |
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164 | IRNGT (IWRKD+2) = IRNGT (IWRKD+4) |
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165 | IRNGT (IWRKD+3) = IRNG1 |
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166 | IRNGT (IWRKD+4) = IRNG2 |
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167 | End If |
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168 | End If |
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169 | End Do |
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170 | ! |
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171 | ! The Cs become As and Bs |
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172 | ! |
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173 | LMTNA = 4 |
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174 | Exit |
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175 | End Do |
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176 | ! |
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177 | ! Iteration loop. Each time, the length of the ordered subsets |
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178 | ! is doubled. |
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179 | ! |
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180 | Do |
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181 | If (LMTNA >= NVAL) Exit |
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182 | IWRKF = 0 |
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183 | LMTNC = 2 * LMTNC |
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184 | ! |
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185 | ! Loop on merges of A and B into C |
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186 | ! |
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187 | Do |
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188 | IWRK = IWRKF |
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189 | IWRKD = IWRKF + 1 |
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190 | JINDA = IWRKF + LMTNA |
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191 | IWRKF = IWRKF + LMTNC |
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192 | If (IWRKF >= NVAL) Then |
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193 | If (JINDA >= NVAL) Exit |
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194 | IWRKF = NVAL |
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195 | End If |
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196 | IINDA = 1 |
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197 | IINDB = JINDA + 1 |
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198 | ! |
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199 | ! Shortcut for the case when the max of A is smaller |
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200 | ! than the min of B. This line may be activated when the |
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201 | ! initial set is already close to sorted. |
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202 | ! |
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203 | ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE |
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204 | ! |
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205 | ! One steps in the C subset, that we build in the final rank array |
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206 | ! |
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207 | ! Make a copy of the rank array for the merge iteration |
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208 | ! |
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209 | JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA) |
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210 | ! |
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211 | XVALA = XDONT (JWRKT(IINDA)) |
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212 | XVALB = XDONT (IRNGT(IINDB)) |
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213 | ! |
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214 | Do |
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215 | IWRK = IWRK + 1 |
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216 | ! |
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217 | ! We still have unprocessed values in both A and B |
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218 | ! |
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219 | If (XVALA > XVALB) Then |
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220 | IRNGT (IWRK) = IRNGT (IINDB) |
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221 | IINDB = IINDB + 1 |
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222 | If (IINDB > IWRKF) Then |
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223 | ! Only A still with unprocessed values |
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224 | IRNGT (IWRK+1:IWRKF) = JWRKT (IINDA:LMTNA) |
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225 | Exit |
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226 | End If |
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227 | XVALB = XDONT (IRNGT(IINDB)) |
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228 | Else |
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229 | IRNGT (IWRK) = JWRKT (IINDA) |
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230 | IINDA = IINDA + 1 |
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231 | If (IINDA > LMTNA) Exit! Only B still with unprocessed values |
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232 | XVALA = XDONT (JWRKT(IINDA)) |
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233 | End If |
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234 | ! |
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235 | End Do |
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236 | End Do |
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237 | ! |
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238 | ! The Cs become As and Bs |
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239 | ! |
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240 | LMTNA = 2 * LMTNA |
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241 | End Do |
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242 | ! |
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243 | Return |
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244 | ! |
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245 | End Subroutine D_mrgrnk |
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246 | |
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247 | Subroutine R_mrgrnk (XDONT, IRNGT) |
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248 | ! __________________________________________________________ |
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249 | ! MRGRNK = Merge-sort ranking of an array |
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250 | ! For performance reasons, the first 2 passes are taken |
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251 | ! out of the standard loop, and use dedicated coding. |
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252 | ! __________________________________________________________ |
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253 | ! _________________________________________________________ |
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254 | Real(wp), Dimension (:), Intent (In) :: XDONT |
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255 | Integer, Dimension (:), Intent (Out) :: IRNGT |
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256 | ! __________________________________________________________ |
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257 | Real(wp) :: XVALA, XVALB |
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258 | ! |
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259 | Integer, Dimension (SIZE(IRNGT)) :: JWRKT |
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260 | Integer :: LMTNA, LMTNC, IRNG1, IRNG2 |
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261 | Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB |
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262 | ! |
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263 | NVAL = Min (SIZE(XDONT), SIZE(IRNGT)) |
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264 | Select Case (NVAL) |
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265 | Case (:0) |
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266 | Return |
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267 | Case (1) |
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268 | IRNGT (1) = 1 |
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269 | Return |
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270 | Case Default |
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271 | Continue |
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272 | End Select |
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273 | ! |
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274 | ! Fill-in the index array, creating ordered couples |
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275 | ! |
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276 | Do IIND = 2, NVAL, 2 |
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277 | If (XDONT(IIND-1) <= XDONT(IIND)) Then |
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278 | IRNGT (IIND-1) = IIND - 1 |
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279 | IRNGT (IIND) = IIND |
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280 | Else |
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281 | IRNGT (IIND-1) = IIND |
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282 | IRNGT (IIND) = IIND - 1 |
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283 | End If |
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284 | End Do |
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285 | If (Modulo(NVAL, 2) /= 0) Then |
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286 | IRNGT (NVAL) = NVAL |
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287 | End If |
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288 | ! |
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289 | ! We will now have ordered subsets A - B - A - B - ... |
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290 | ! and merge A and B couples into C - C - ... |
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291 | ! |
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292 | LMTNA = 2 |
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293 | LMTNC = 4 |
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294 | ! |
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295 | ! First iteration. The length of the ordered subsets goes from 2 to 4 |
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296 | ! |
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297 | Do |
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298 | If (NVAL <= 2) Exit |
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299 | ! |
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300 | ! Loop on merges of A and B into C |
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301 | ! |
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302 | Do IWRKD = 0, NVAL - 1, 4 |
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303 | If ((IWRKD+4) > NVAL) Then |
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304 | If ((IWRKD+2) >= NVAL) Exit |
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305 | ! |
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306 | ! 1 2 3 |
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307 | ! |
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308 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit |
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309 | ! |
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310 | ! 1 3 2 |
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311 | ! |
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312 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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313 | IRNG2 = IRNGT (IWRKD+2) |
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314 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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315 | IRNGT (IWRKD+3) = IRNG2 |
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316 | ! |
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317 | ! 3 1 2 |
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318 | ! |
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319 | Else |
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320 | IRNG1 = IRNGT (IWRKD+1) |
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321 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
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322 | IRNGT (IWRKD+3) = IRNGT (IWRKD+2) |
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323 | IRNGT (IWRKD+2) = IRNG1 |
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324 | End If |
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325 | Exit |
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326 | End If |
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327 | ! |
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328 | ! 1 2 3 4 |
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329 | ! |
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330 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle |
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331 | ! |
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332 | ! 1 3 x x |
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333 | ! |
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334 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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335 | IRNG2 = IRNGT (IWRKD+2) |
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336 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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337 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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338 | ! 1 3 2 4 |
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339 | IRNGT (IWRKD+3) = IRNG2 |
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340 | Else |
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341 | ! 1 3 4 2 |
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342 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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343 | IRNGT (IWRKD+4) = IRNG2 |
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344 | End If |
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345 | ! |
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346 | ! 3 x x x |
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347 | ! |
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348 | Else |
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349 | IRNG1 = IRNGT (IWRKD+1) |
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350 | IRNG2 = IRNGT (IWRKD+2) |
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351 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
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352 | If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then |
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353 | IRNGT (IWRKD+2) = IRNG1 |
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354 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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355 | ! 3 1 2 4 |
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356 | IRNGT (IWRKD+3) = IRNG2 |
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357 | Else |
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358 | ! 3 1 4 2 |
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359 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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360 | IRNGT (IWRKD+4) = IRNG2 |
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361 | End If |
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362 | Else |
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363 | ! 3 4 1 2 |
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364 | IRNGT (IWRKD+2) = IRNGT (IWRKD+4) |
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365 | IRNGT (IWRKD+3) = IRNG1 |
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366 | IRNGT (IWRKD+4) = IRNG2 |
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367 | End If |
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368 | End If |
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369 | End Do |
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370 | ! |
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371 | ! The Cs become As and Bs |
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372 | ! |
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373 | LMTNA = 4 |
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374 | Exit |
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375 | End Do |
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376 | ! |
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377 | ! Iteration loop. Each time, the length of the ordered subsets |
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378 | ! is doubled. |
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379 | ! |
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380 | Do |
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381 | If (LMTNA >= NVAL) Exit |
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382 | IWRKF = 0 |
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383 | LMTNC = 2 * LMTNC |
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384 | ! |
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385 | ! Loop on merges of A and B into C |
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386 | ! |
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387 | Do |
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388 | IWRK = IWRKF |
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389 | IWRKD = IWRKF + 1 |
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390 | JINDA = IWRKF + LMTNA |
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391 | IWRKF = IWRKF + LMTNC |
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392 | If (IWRKF >= NVAL) Then |
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393 | If (JINDA >= NVAL) Exit |
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394 | IWRKF = NVAL |
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395 | End If |
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396 | IINDA = 1 |
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397 | IINDB = JINDA + 1 |
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398 | ! |
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399 | ! Shortcut for the case when the max of A is smaller |
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400 | ! than the min of B. This line may be activated when the |
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401 | ! initial set is already close to sorted. |
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402 | ! |
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403 | ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE |
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404 | ! |
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405 | ! One steps in the C subset, that we build in the final rank array |
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406 | ! |
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407 | ! Make a copy of the rank array for the merge iteration |
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408 | ! |
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409 | JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA) |
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410 | ! |
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411 | XVALA = XDONT (JWRKT(IINDA)) |
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412 | XVALB = XDONT (IRNGT(IINDB)) |
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413 | ! |
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414 | Do |
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415 | IWRK = IWRK + 1 |
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416 | ! |
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417 | ! We still have unprocessed values in both A and B |
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418 | ! |
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419 | If (XVALA > XVALB) Then |
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420 | IRNGT (IWRK) = IRNGT (IINDB) |
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421 | IINDB = IINDB + 1 |
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422 | If (IINDB > IWRKF) Then |
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423 | ! Only A still with unprocessed values |
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424 | IRNGT (IWRK+1:IWRKF) = JWRKT (IINDA:LMTNA) |
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425 | Exit |
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426 | End If |
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427 | XVALB = XDONT (IRNGT(IINDB)) |
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428 | Else |
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429 | IRNGT (IWRK) = JWRKT (IINDA) |
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430 | IINDA = IINDA + 1 |
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431 | If (IINDA > LMTNA) Exit! Only B still with unprocessed values |
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432 | XVALA = XDONT (JWRKT(IINDA)) |
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433 | End If |
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434 | ! |
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435 | End Do |
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436 | End Do |
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437 | ! |
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438 | ! The Cs become As and Bs |
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439 | ! |
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440 | LMTNA = 2 * LMTNA |
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441 | End Do |
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442 | ! |
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443 | Return |
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444 | ! |
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445 | End Subroutine R_mrgrnk |
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446 | Subroutine I_mrgrnk (XDONT, IRNGT) |
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447 | ! __________________________________________________________ |
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448 | ! MRGRNK = Merge-sort ranking of an array |
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449 | ! For performance reasons, the first 2 passes are taken |
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450 | ! out of the standard loop, and use dedicated coding. |
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451 | ! __________________________________________________________ |
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452 | ! __________________________________________________________ |
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453 | Integer, Dimension (:), Intent (In) :: XDONT |
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454 | Integer, Dimension (:), Intent (Out) :: IRNGT |
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455 | ! __________________________________________________________ |
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456 | Integer :: XVALA, XVALB |
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457 | ! |
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458 | Integer, Dimension (SIZE(IRNGT)) :: JWRKT |
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459 | Integer :: LMTNA, LMTNC, IRNG1, IRNG2 |
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460 | Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB |
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461 | ! |
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462 | NVAL = Min (SIZE(XDONT), SIZE(IRNGT)) |
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463 | Select Case (NVAL) |
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464 | Case (:0) |
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465 | Return |
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466 | Case (1) |
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467 | IRNGT (1) = 1 |
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468 | Return |
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469 | Case Default |
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470 | Continue |
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471 | End Select |
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472 | ! |
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473 | ! Fill-in the index array, creating ordered couples |
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474 | ! |
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475 | Do IIND = 2, NVAL, 2 |
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476 | If (XDONT(IIND-1) <= XDONT(IIND)) Then |
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477 | IRNGT (IIND-1) = IIND - 1 |
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478 | IRNGT (IIND) = IIND |
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479 | Else |
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480 | IRNGT (IIND-1) = IIND |
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481 | IRNGT (IIND) = IIND - 1 |
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482 | End If |
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483 | End Do |
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484 | If (Modulo(NVAL, 2) /= 0) Then |
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485 | IRNGT (NVAL) = NVAL |
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486 | End If |
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487 | ! |
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488 | ! We will now have ordered subsets A - B - A - B - ... |
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489 | ! and merge A and B couples into C - C - ... |
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490 | ! |
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491 | LMTNA = 2 |
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492 | LMTNC = 4 |
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493 | ! |
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494 | ! First iteration. The length of the ordered subsets goes from 2 to 4 |
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495 | ! |
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496 | Do |
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497 | If (NVAL <= 2) Exit |
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498 | ! |
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499 | ! Loop on merges of A and B into C |
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500 | ! |
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501 | Do IWRKD = 0, NVAL - 1, 4 |
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502 | If ((IWRKD+4) > NVAL) Then |
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503 | If ((IWRKD+2) >= NVAL) Exit |
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504 | ! |
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505 | ! 1 2 3 |
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506 | ! |
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507 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit |
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508 | ! |
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509 | ! 1 3 2 |
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510 | ! |
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511 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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512 | IRNG2 = IRNGT (IWRKD+2) |
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513 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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514 | IRNGT (IWRKD+3) = IRNG2 |
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515 | ! |
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516 | ! 3 1 2 |
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517 | ! |
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518 | Else |
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519 | IRNG1 = IRNGT (IWRKD+1) |
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520 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
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521 | IRNGT (IWRKD+3) = IRNGT (IWRKD+2) |
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522 | IRNGT (IWRKD+2) = IRNG1 |
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523 | End If |
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524 | Exit |
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525 | End If |
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526 | ! |
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527 | ! 1 2 3 4 |
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528 | ! |
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529 | If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle |
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530 | ! |
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531 | ! 1 3 x x |
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532 | ! |
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533 | If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then |
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534 | IRNG2 = IRNGT (IWRKD+2) |
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535 | IRNGT (IWRKD+2) = IRNGT (IWRKD+3) |
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536 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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537 | ! 1 3 2 4 |
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538 | IRNGT (IWRKD+3) = IRNG2 |
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539 | Else |
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540 | ! 1 3 4 2 |
---|
541 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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542 | IRNGT (IWRKD+4) = IRNG2 |
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543 | End If |
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544 | ! |
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545 | ! 3 x x x |
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546 | ! |
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547 | Else |
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548 | IRNG1 = IRNGT (IWRKD+1) |
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549 | IRNG2 = IRNGT (IWRKD+2) |
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550 | IRNGT (IWRKD+1) = IRNGT (IWRKD+3) |
---|
551 | If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then |
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552 | IRNGT (IWRKD+2) = IRNG1 |
---|
553 | If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then |
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554 | ! 3 1 2 4 |
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555 | IRNGT (IWRKD+3) = IRNG2 |
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556 | Else |
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557 | ! 3 1 4 2 |
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558 | IRNGT (IWRKD+3) = IRNGT (IWRKD+4) |
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559 | IRNGT (IWRKD+4) = IRNG2 |
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560 | End If |
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561 | Else |
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562 | ! 3 4 1 2 |
---|
563 | IRNGT (IWRKD+2) = IRNGT (IWRKD+4) |
---|
564 | IRNGT (IWRKD+3) = IRNG1 |
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565 | IRNGT (IWRKD+4) = IRNG2 |
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566 | End If |
---|
567 | End If |
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568 | End Do |
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569 | ! |
---|
570 | ! The Cs become As and Bs |
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571 | ! |
---|
572 | LMTNA = 4 |
---|
573 | Exit |
---|
574 | End Do |
---|
575 | ! |
---|
576 | ! Iteration loop. Each time, the length of the ordered subsets |
---|
577 | ! is doubled. |
---|
578 | ! |
---|
579 | Do |
---|
580 | If (LMTNA >= NVAL) Exit |
---|
581 | IWRKF = 0 |
---|
582 | LMTNC = 2 * LMTNC |
---|
583 | ! |
---|
584 | ! Loop on merges of A and B into C |
---|
585 | ! |
---|
586 | Do |
---|
587 | IWRK = IWRKF |
---|
588 | IWRKD = IWRKF + 1 |
---|
589 | JINDA = IWRKF + LMTNA |
---|
590 | IWRKF = IWRKF + LMTNC |
---|
591 | If (IWRKF >= NVAL) Then |
---|
592 | If (JINDA >= NVAL) Exit |
---|
593 | IWRKF = NVAL |
---|
594 | End If |
---|
595 | IINDA = 1 |
---|
596 | IINDB = JINDA + 1 |
---|
597 | ! |
---|
598 | ! Shortcut for the case when the max of A is smaller |
---|
599 | ! than the min of B. This line may be activated when the |
---|
600 | ! initial set is already close to sorted. |
---|
601 | ! |
---|
602 | ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE |
---|
603 | ! |
---|
604 | ! One steps in the C subset, that we build in the final rank array |
---|
605 | ! |
---|
606 | ! Make a copy of the rank array for the merge iteration |
---|
607 | ! |
---|
608 | JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA) |
---|
609 | ! |
---|
610 | XVALA = XDONT (JWRKT(IINDA)) |
---|
611 | XVALB = XDONT (IRNGT(IINDB)) |
---|
612 | ! |
---|
613 | Do |
---|
614 | IWRK = IWRK + 1 |
---|
615 | ! |
---|
616 | ! We still have unprocessed values in both A and B |
---|
617 | ! |
---|
618 | If (XVALA > XVALB) Then |
---|
619 | IRNGT (IWRK) = IRNGT (IINDB) |
---|
620 | IINDB = IINDB + 1 |
---|
621 | If (IINDB > IWRKF) Then |
---|
622 | ! Only A still with unprocessed values |
---|
623 | IRNGT (IWRK+1:IWRKF) = JWRKT (IINDA:LMTNA) |
---|
624 | Exit |
---|
625 | End If |
---|
626 | XVALB = XDONT (IRNGT(IINDB)) |
---|
627 | Else |
---|
628 | IRNGT (IWRK) = JWRKT (IINDA) |
---|
629 | IINDA = IINDA + 1 |
---|
630 | If (IINDA > LMTNA) Exit! Only B still with unprocessed values |
---|
631 | XVALA = XDONT (JWRKT(IINDA)) |
---|
632 | End If |
---|
633 | ! |
---|
634 | End Do |
---|
635 | End Do |
---|
636 | ! |
---|
637 | ! The Cs become As and Bs |
---|
638 | ! |
---|
639 | LMTNA = 2 * LMTNA |
---|
640 | End Do |
---|
641 | ! |
---|
642 | Return |
---|
643 | ! |
---|
644 | End Subroutine I_mrgrnk |
---|
645 | end module m_mrgrnk |
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