[3358] | 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 |
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| 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) |
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| 551 | If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then |
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| 552 | IRNGT (IWRKD+2) = IRNG1 |
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| 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 |
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| 563 | IRNGT (IWRKD+2) = IRNGT (IWRKD+4) |
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| 564 | IRNGT (IWRKD+3) = IRNG1 |
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| 565 | IRNGT (IWRKD+4) = IRNG2 |
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| 566 | End If |
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| 567 | End If |
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| 568 | End Do |
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| 569 | ! |
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| 570 | ! The Cs become As and Bs |
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| 571 | ! |
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| 572 | LMTNA = 4 |
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| 573 | Exit |
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| 574 | End Do |
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| 575 | ! |
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| 576 | ! Iteration loop. Each time, the length of the ordered subsets |
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| 577 | ! is doubled. |
---|
| 578 | ! |
---|
| 579 | Do |
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| 580 | If (LMTNA >= NVAL) Exit |
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| 581 | IWRKF = 0 |
---|
| 582 | LMTNC = 2 * LMTNC |
---|
| 583 | ! |
---|
| 584 | ! Loop on merges of A and B into C |
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| 585 | ! |
---|
| 586 | Do |
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| 587 | IWRK = IWRKF |
---|
| 588 | IWRKD = IWRKF + 1 |
---|
| 589 | JINDA = IWRKF + LMTNA |
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| 590 | IWRKF = IWRKF + LMTNC |
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| 591 | If (IWRKF >= NVAL) Then |
---|
| 592 | If (JINDA >= NVAL) Exit |
---|
| 593 | IWRKF = NVAL |
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| 594 | End If |
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| 595 | IINDA = 1 |
---|
| 596 | IINDB = JINDA + 1 |
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| 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 |
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| 600 | ! initial set is already close to sorted. |
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| 601 | ! |
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| 602 | ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE |
---|
| 603 | ! |
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| 604 | ! One steps in the C subset, that we build in the final rank array |
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| 605 | ! |
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| 606 | ! Make a copy of the rank array for the merge iteration |
---|
| 607 | ! |
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| 608 | JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA) |
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| 609 | ! |
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| 610 | XVALA = XDONT (JWRKT(IINDA)) |
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| 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 |
---|