source: LMDZ6/trunk/libf/phylmdiso/cosp2/mrgrnk.F90 @ 3927

Last change on this file since 3927 was 3927, checked in by Laurent Fairhead, 3 years ago

Initial import of the physics wih isotopes from Camille Risi
CR

File size: 19.7 KB
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2! Copyright (c) 2015, Regents of the University of Colorado
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29! History:
30! May 2015:  Dustin Swales    - Modified for COSPv2.0
31!
32! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
33Module m_mrgrnk
34  USE COSP_KINDS,          ONLY: wp
35  Integer, Parameter :: kdp = selected_real_kind(15)
36  public :: mrgrnk
37  private :: kdp
38  private :: R_mrgrnk, I_mrgrnk, D_mrgrnk
39
40  interface mrgrnk
41!     module procedure D_mrgrnk, R_mrgrnk, I_mrgrnk
42     module procedure R_mrgrnk, I_mrgrnk
43     
44  end interface
45contains
46 
47  Subroutine D_mrgrnk (XDONT, IRNGT)
48    ! __________________________________________________________
49    ! MRGRNK = Merge-sort ranking of an array
50    ! For performance reasons, the first 2 passes are taken
51    ! out of the standard loop, and use dedicated coding.
52    ! __________________________________________________________
53    ! __________________________________________________________
54    Real (wp), Dimension (:), Intent (In) :: XDONT
55    Integer, Dimension (:), Intent (Out) :: IRNGT
56    ! __________________________________________________________
57    Real (wp) :: XVALA, XVALB
58    !
59    Integer, Dimension (SIZE(IRNGT)) :: JWRKT
60    Integer :: LMTNA, LMTNC, IRNG1, IRNG2
61    Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB
62    !
63    NVAL = Min (SIZE(XDONT), SIZE(IRNGT))
64    Select Case (NVAL)
65    Case (:0)
66       Return
67    Case (1)
68       IRNGT (1) = 1
69       Return
70    Case Default
71       Continue
72    End Select
73    !
74    ! Fill-in the index array, creating ordered couples
75    !
76    Do IIND = 2, NVAL, 2
77       If (XDONT(IIND-1) <= XDONT(IIND)) Then
78          IRNGT (IIND-1) = IIND - 1
79          IRNGT (IIND) = IIND
80       Else
81          IRNGT (IIND-1) = IIND
82          IRNGT (IIND) = IIND - 1
83       End If
84    End Do
85    If (Modulo(NVAL, 2) /= 0) Then
86       IRNGT (NVAL) = NVAL
87    End If
88    !
89    ! We will now have ordered subsets A - B - A - B - ...
90    ! and merge A and B couples into C - C - ...
91    !
92    LMTNA = 2
93    LMTNC = 4
94    !
95    ! First iteration. The length of the ordered subsets goes from 2 to 4
96    !
97    Do
98       If (NVAL <= 2) Exit
99       !
100       ! Loop on merges of A and B into C
101       !
102       Do IWRKD = 0, NVAL - 1, 4
103          If ((IWRKD+4) > NVAL) Then
104             If ((IWRKD+2) >= NVAL) Exit
105             !
106             ! 1 2 3
107             !
108             If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit
109             !
110             ! 1 3 2
111             !
112             If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
113                IRNG2 = IRNGT (IWRKD+2)
114                IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
115                IRNGT (IWRKD+3) = IRNG2
116                !
117                ! 3 1 2
118                !
119             Else
120                IRNG1 = IRNGT (IWRKD+1)
121                IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
122                IRNGT (IWRKD+3) = IRNGT (IWRKD+2)
123                IRNGT (IWRKD+2) = IRNG1
124             End If
125             Exit
126          End If
127          !
128          ! 1 2 3 4
129          !
130          If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle
131          !
132          ! 1 3 x x
133          !
134          If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
135             IRNG2 = IRNGT (IWRKD+2)
136             IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
137             If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
138                ! 1 3 2 4
139                IRNGT (IWRKD+3) = IRNG2
140             Else
141                ! 1 3 4 2
142                IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
143                IRNGT (IWRKD+4) = IRNG2
144             End If
145             !
146             ! 3 x x x
147             !
148          Else
149             IRNG1 = IRNGT (IWRKD+1)
150             IRNG2 = IRNGT (IWRKD+2)
151             IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
152             If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then
153                IRNGT (IWRKD+2) = IRNG1
154                If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
155                   ! 3 1 2 4
156                   IRNGT (IWRKD+3) = IRNG2
157                Else
158                   ! 3 1 4 2
159                   IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
160                   IRNGT (IWRKD+4) = IRNG2
161                End If
162             Else
163                ! 3 4 1 2
164                IRNGT (IWRKD+2) = IRNGT (IWRKD+4)
165                IRNGT (IWRKD+3) = IRNG1
166                IRNGT (IWRKD+4) = IRNG2
167             End If
168          End If
169       End Do
170       !
171       ! The Cs become As and Bs
172       !
173       LMTNA = 4
174       Exit
175    End Do
176    !
177    ! Iteration loop. Each time, the length of the ordered subsets
178    ! is doubled.
179    !
180    Do
181       If (LMTNA >= NVAL) Exit
182       IWRKF = 0
183       LMTNC = 2 * LMTNC
184       !
185       ! Loop on merges of A and B into C
186       !
187       Do
188          IWRK = IWRKF
189          IWRKD = IWRKF + 1
190          JINDA = IWRKF + LMTNA
191          IWRKF = IWRKF + LMTNC
192          If (IWRKF >= NVAL) Then
193             If (JINDA >= NVAL) Exit
194             IWRKF = NVAL
195          End If
196          IINDA = 1
197          IINDB = JINDA + 1
198          !
199          ! Shortcut for the case when the max of A is smaller
200          ! than the min of B. This line may be activated when the
201          ! initial set is already close to sorted.
202          !
203          ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE
204          !
205          ! One steps in the C subset, that we build in the final rank array
206          !
207          ! Make a copy of the rank array for the merge iteration
208          !
209          JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA)
210          !
211          XVALA = XDONT (JWRKT(IINDA))
212          XVALB = XDONT (IRNGT(IINDB))
213          !
214          Do
215             IWRK = IWRK + 1
216             !
217             ! We still have unprocessed values in both A and B
218             !
219             If (XVALA > XVALB) Then
220                IRNGT (IWRK) = IRNGT (IINDB)
221                IINDB = IINDB + 1
222                If (IINDB > IWRKF) Then
223                   ! Only A still with unprocessed values
224                   IRNGT (IWRK+1:IWRKF) = JWRKT (IINDA:LMTNA)
225                   Exit
226                End If
227                XVALB = XDONT (IRNGT(IINDB))
228             Else
229                IRNGT (IWRK) = JWRKT (IINDA)
230                IINDA = IINDA + 1
231                If (IINDA > LMTNA) Exit! Only B still with unprocessed values
232                XVALA = XDONT (JWRKT(IINDA))
233             End If
234             !
235          End Do
236       End Do
237       !
238       ! The Cs become As and Bs
239       !
240       LMTNA = 2 * LMTNA
241    End Do
242    !
243    Return
244    !
245  End Subroutine D_mrgrnk
246 
247  Subroutine R_mrgrnk (XDONT, IRNGT)
248    ! __________________________________________________________
249    ! MRGRNK = Merge-sort ranking of an array
250    ! For performance reasons, the first 2 passes are taken
251    ! out of the standard loop, and use dedicated coding.
252    ! __________________________________________________________
253    ! _________________________________________________________
254    Real(wp), Dimension (:), Intent (In) :: XDONT
255    Integer, Dimension (:), Intent (Out) :: IRNGT
256    ! __________________________________________________________
257    Real(wp) :: XVALA, XVALB
258    !
259    Integer, Dimension (SIZE(IRNGT)) :: JWRKT
260    Integer :: LMTNA, LMTNC, IRNG1, IRNG2
261    Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB
262    !
263    NVAL = Min (SIZE(XDONT), SIZE(IRNGT))
264    Select Case (NVAL)
265    Case (:0)
266       Return
267    Case (1)
268       IRNGT (1) = 1
269       Return
270    Case Default
271       Continue
272    End Select
273    !
274    ! Fill-in the index array, creating ordered couples
275    !
276    Do IIND = 2, NVAL, 2
277       If (XDONT(IIND-1) <= XDONT(IIND)) Then
278          IRNGT (IIND-1) = IIND - 1
279          IRNGT (IIND) = IIND
280       Else
281          IRNGT (IIND-1) = IIND
282          IRNGT (IIND) = IIND - 1
283       End If
284    End Do
285    If (Modulo(NVAL, 2) /= 0) Then
286       IRNGT (NVAL) = NVAL
287    End If
288    !
289    ! We will now have ordered subsets A - B - A - B - ...
290    ! and merge A and B couples into C - C - ...
291    !
292    LMTNA = 2
293    LMTNC = 4
294    !
295    ! First iteration. The length of the ordered subsets goes from 2 to 4
296    !
297    Do
298       If (NVAL <= 2) Exit
299       !
300       ! Loop on merges of A and B into C
301       !
302       Do IWRKD = 0, NVAL - 1, 4
303          If ((IWRKD+4) > NVAL) Then
304             If ((IWRKD+2) >= NVAL) Exit
305             !
306             ! 1 2 3
307             !
308             If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit
309             !
310             ! 1 3 2
311             !
312             If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
313                IRNG2 = IRNGT (IWRKD+2)
314                IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
315                IRNGT (IWRKD+3) = IRNG2
316                !
317                ! 3 1 2
318                !
319             Else
320                IRNG1 = IRNGT (IWRKD+1)
321                IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
322                IRNGT (IWRKD+3) = IRNGT (IWRKD+2)
323                IRNGT (IWRKD+2) = IRNG1
324             End If
325             Exit
326          End If
327          !
328          ! 1 2 3 4
329          !
330          If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle
331          !
332          ! 1 3 x x
333          !
334          If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
335             IRNG2 = IRNGT (IWRKD+2)
336             IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
337             If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
338                ! 1 3 2 4
339                IRNGT (IWRKD+3) = IRNG2
340             Else
341                ! 1 3 4 2
342                IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
343                IRNGT (IWRKD+4) = IRNG2
344             End If
345             !
346             ! 3 x x x
347             !
348          Else
349             IRNG1 = IRNGT (IWRKD+1)
350             IRNG2 = IRNGT (IWRKD+2)
351             IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
352             If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then
353                IRNGT (IWRKD+2) = IRNG1
354                If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
355                   ! 3 1 2 4
356                   IRNGT (IWRKD+3) = IRNG2
357                Else
358                   ! 3 1 4 2
359                   IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
360                   IRNGT (IWRKD+4) = IRNG2
361                End If
362             Else
363                ! 3 4 1 2
364                IRNGT (IWRKD+2) = IRNGT (IWRKD+4)
365                IRNGT (IWRKD+3) = IRNG1
366                IRNGT (IWRKD+4) = IRNG2
367             End If
368          End If
369       End Do
370       !
371       ! The Cs become As and Bs
372       !
373       LMTNA = 4
374       Exit
375    End Do
376    !
377    ! Iteration loop. Each time, the length of the ordered subsets
378    ! is doubled.
379    !
380    Do
381       If (LMTNA >= NVAL) Exit
382       IWRKF = 0
383       LMTNC = 2 * LMTNC
384       !
385       ! Loop on merges of A and B into C
386       !
387       Do
388          IWRK = IWRKF
389          IWRKD = IWRKF + 1
390          JINDA = IWRKF + LMTNA
391          IWRKF = IWRKF + LMTNC
392          If (IWRKF >= NVAL) Then
393             If (JINDA >= NVAL) Exit
394             IWRKF = NVAL
395          End If
396          IINDA = 1
397          IINDB = JINDA + 1
398          !
399          ! Shortcut for the case when the max of A is smaller
400          ! than the min of B. This line may be activated when the
401          ! initial set is already close to sorted.
402          !
403          ! IF (XDONT(IRNGT(JINDA)) <= XDONT(IRNGT(IINDB))) CYCLE
404          !
405          ! One steps in the C subset, that we build in the final rank array
406          !
407          ! Make a copy of the rank array for the merge iteration
408          !
409          JWRKT (1:LMTNA) = IRNGT (IWRKD:JINDA)
410          !
411          XVALA = XDONT (JWRKT(IINDA))
412          XVALB = XDONT (IRNGT(IINDB))
413          !
414          Do
415             IWRK = IWRK + 1
416             !
417             ! We still have unprocessed values in both A and B
418             !
419             If (XVALA > XVALB) Then
420                IRNGT (IWRK) = IRNGT (IINDB)
421                IINDB = IINDB + 1
422                If (IINDB > IWRKF) Then
423                   ! Only A still with unprocessed values
424                   IRNGT (IWRK+1:IWRKF) = JWRKT (IINDA:LMTNA)
425                   Exit
426                End If
427                XVALB = XDONT (IRNGT(IINDB))
428             Else
429                IRNGT (IWRK) = JWRKT (IINDA)
430                IINDA = IINDA + 1
431                If (IINDA > LMTNA) Exit! Only B still with unprocessed values
432                XVALA = XDONT (JWRKT(IINDA))
433             End If
434             !
435          End Do
436       End Do
437       !
438       ! The Cs become As and Bs
439       !
440       LMTNA = 2 * LMTNA
441    End Do
442    !
443    Return
444    !
445  End Subroutine R_mrgrnk
446  Subroutine I_mrgrnk (XDONT, IRNGT)
447    ! __________________________________________________________
448    ! MRGRNK = Merge-sort ranking of an array
449    ! For performance reasons, the first 2 passes are taken
450    ! out of the standard loop, and use dedicated coding.
451    ! __________________________________________________________
452    ! __________________________________________________________
453    Integer, Dimension (:), Intent (In) :: XDONT
454    Integer, Dimension (:), Intent (Out) :: IRNGT
455    ! __________________________________________________________
456    Integer :: XVALA, XVALB
457    !
458    Integer, Dimension (SIZE(IRNGT)) :: JWRKT
459    Integer :: LMTNA, LMTNC, IRNG1, IRNG2
460    Integer :: NVAL, IIND, IWRKD, IWRK, IWRKF, JINDA, IINDA, IINDB
461    !
462    NVAL = Min (SIZE(XDONT), SIZE(IRNGT))
463    Select Case (NVAL)
464    Case (:0)
465       Return
466    Case (1)
467       IRNGT (1) = 1
468       Return
469    Case Default
470       Continue
471    End Select
472    !
473    ! Fill-in the index array, creating ordered couples
474    !
475    Do IIND = 2, NVAL, 2
476       If (XDONT(IIND-1) <= XDONT(IIND)) Then
477          IRNGT (IIND-1) = IIND - 1
478          IRNGT (IIND) = IIND
479       Else
480          IRNGT (IIND-1) = IIND
481          IRNGT (IIND) = IIND - 1
482       End If
483    End Do
484    If (Modulo(NVAL, 2) /= 0) Then
485       IRNGT (NVAL) = NVAL
486    End If
487    !
488    ! We will now have ordered subsets A - B - A - B - ...
489    ! and merge A and B couples into C - C - ...
490    !
491    LMTNA = 2
492    LMTNC = 4
493    !
494    ! First iteration. The length of the ordered subsets goes from 2 to 4
495    !
496    Do
497       If (NVAL <= 2) Exit
498       !
499       ! Loop on merges of A and B into C
500       !
501       Do IWRKD = 0, NVAL - 1, 4
502          If ((IWRKD+4) > NVAL) Then
503             If ((IWRKD+2) >= NVAL) Exit
504             !
505             ! 1 2 3
506             !
507             If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Exit
508             !
509             ! 1 3 2
510             !
511             If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
512                IRNG2 = IRNGT (IWRKD+2)
513                IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
514                IRNGT (IWRKD+3) = IRNG2
515                !
516                ! 3 1 2
517                !
518             Else
519                IRNG1 = IRNGT (IWRKD+1)
520                IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
521                IRNGT (IWRKD+3) = IRNGT (IWRKD+2)
522                IRNGT (IWRKD+2) = IRNG1
523             End If
524             Exit
525          End If
526          !
527          ! 1 2 3 4
528          !
529          If (XDONT(IRNGT(IWRKD+2)) <= XDONT(IRNGT(IWRKD+3))) Cycle
530          !
531          ! 1 3 x x
532          !
533          If (XDONT(IRNGT(IWRKD+1)) <= XDONT(IRNGT(IWRKD+3))) Then
534             IRNG2 = IRNGT (IWRKD+2)
535             IRNGT (IWRKD+2) = IRNGT (IWRKD+3)
536             If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
537                ! 1 3 2 4
538                IRNGT (IWRKD+3) = IRNG2
539             Else
540                ! 1 3 4 2
541                IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
542                IRNGT (IWRKD+4) = IRNG2
543             End If
544             !
545             ! 3 x x x
546             !
547          Else
548             IRNG1 = IRNGT (IWRKD+1)
549             IRNG2 = IRNGT (IWRKD+2)
550             IRNGT (IWRKD+1) = IRNGT (IWRKD+3)
551             If (XDONT(IRNG1) <= XDONT(IRNGT(IWRKD+4))) Then
552                IRNGT (IWRKD+2) = IRNG1
553                If (XDONT(IRNG2) <= XDONT(IRNGT(IWRKD+4))) Then
554                   ! 3 1 2 4
555                   IRNGT (IWRKD+3) = IRNG2
556                Else
557                   ! 3 1 4 2
558                   IRNGT (IWRKD+3) = IRNGT (IWRKD+4)
559                   IRNGT (IWRKD+4) = IRNG2
560                End If
561             Else
562                ! 3 4 1 2
563                IRNGT (IWRKD+2) = IRNGT (IWRKD+4)
564                IRNGT (IWRKD+3) = IRNG1
565                IRNGT (IWRKD+4) = IRNG2
566             End If
567          End If
568       End Do
569       !
570       ! The Cs become As and Bs
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
645end module m_mrgrnk
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