~madteam/mg5amcnlo/series2.0

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
      SUBROUTINE JOINPATH(STR1,STR2,PATH)

      CHARACTER*(*) STR1
      CHARACTER*(*) STR2
      CHARACTER*(*) PATH

      INTEGER I,J,K

      I =1
      DO WHILE (I.LE.LEN(STR1))
        IF(STR1(I:I).EQ.' ') GOTO 800
        PATH(I:I) = STR1(I:I)
        I=I+1
      ENDDO
 800  CONTINUE
      J=1
      DO WHILE (J.LE.LEN(STR2))
        IF(STR2(J:J).EQ.' ') GOTO 801
        PATH(I-1+J:I-1+J) = STR2(J:J)
        J=J+1
      ENDDO
 801  CONTINUE
      K=I+J-1
      DO WHILE (K.LE.LEN(PATH))
        PATH(K:K) = ' '
        K=K+1
      ENDDO

      RETURN

      END


      SUBROUTINE INITCOLLIER()
C     
C     INITIALISATION OF COLLIER
C     
C     
C     MODULE
C     
      USE COLLIER
C     
C     CONSTANTS
C     
      CHARACTER(LEN=*) NO_FOLDER
      PARAMETER (NO_FOLDER='')
      CHARACTER(LEN=*) FOLDEROUTPUT
      PARAMETER (FOLDEROUTPUT='COLLIER_output')

C     Force COLLIER to completely reset from scratch
      LOGICAL NORESET
      PARAMETER (NORESET=.FALSE.)
C     
C     LOCAL VARIABLES 
C     
      INTEGER N_CACHES
C     
C     GLOBAL VARIABLES 
C     
      INCLUDE 'MadLoopParams.inc'
C     Now obtain the overall maximum rank, maximum external lines
C     and maximal number of processes.
      INCLUDE 'global_specs.inc'

C     ----------
C     BEGIN CODE
C     ----------

C     Initialize Collier
      IF (.NOT.COLLIERCANOUTPUT) THEN
        CALL INIT_CLL(MAXNEXTERNAL,OVERALLMAXRANK,NO_FOLDER,NORESET)
      ELSE
        CALL INIT_CLL(MAXNEXTERNAL,OVERALLMAXRANK,FOLDEROUTPUT,NORESET)
      ENDIF

C     Set target accuracy, be conservative w.r.t user request
C     Keep in mind that COLLIER has been optimized for 1d-8.
      IF (COLLIERREQUIREDACCURACY.EQ.-1.0D0) THEN
        CALL SETREQACC_CLL(MLSTABTHRES*1.0D-3)
      ELSE
        CALL SETREQACC_CLL(COLLIERREQUIREDACCURACY)
      ENDIF

C     Set COLLIER mode
      CALL SETMODE_CLL(COLLIERMODE)

C     Set the global cache strategy
C     If we use the caches for the poles as well, then it is a total of
C     4 caches per process.
      IF (COLLIERUSECACHEFORPOLES) THEN
        N_CACHES =4*NPROCS
      ELSE
        N_CACHES =NPROCS
      ENDIF
      IF (COLLIERGLOBALCACHE.EQ.-1) THEN
        CALL INITCACHESYSTEM_CLL(N_CACHES,MAXNEXTERNAL)
      ELSEIF(COLLIERGLOBALCACHE.GT.0) THEN
        CALL INITCACHESYSTEM_CLL(N_CACHES,COLLIERGLOBALCACHE)
      ENDIF

C     Make sure to start by first switching off all cache
      IF (COLLIERGLOBALCACHE.NE.0) THEN
        CALL SWITCHOFFCACHESYSTEM_CLL()
      ENDIF

C     Make sure no COLLIER error can interrupt the code
      CALL SWITCHOFFERRSTOP_CLL()

C     Specify below your other custom COLLIER parameter settings 
C     [user_specific_COLLIER_settings]

      END

      SUBROUTINE SET_FORBID_HEL_DOUBLECHECK(ONOFF)
C     
C     Give the possibility to overwrite the value of MadLoopParams.dat
C     for the helicity double checking.
C     Make sure to call this subroutine before the first time you 
C     call MadLoop.
C     
      IMPLICIT NONE
C     
C     ARGUMENT
C     
      LOGICAL ONOFF
C     
C     GLOBAL VARIABLES
C     
      LOGICAL FORBID_HEL_DOUBLECHECK
      DATA FORBID_HEL_DOUBLECHECK/.FALSE./
      COMMON/FORBID_HEL_DOUBLECHECK/FORBID_HEL_DOUBLECHECK
C     ----------
C     BEGIN CODE
C     ----------
      FORBID_HEL_DOUBLECHECK = ONOFF
      END

      SUBROUTINE SETMADLOOPPATH(PATH)

      CHARACTER(512) PATH
      CHARACTER(512) DUMMY
      CHARACTER(512) EPATH  ! path of the executable
      INTEGER POS
      CHARACTER(512) PREFIX,FPATH
      CHARACTER(17) NAMETOCHECK
      PARAMETER (NAMETOCHECK='MadLoopParams.dat')

      LOGICAL ML_INIT
      DATA ML_INIT/.TRUE./
      COMMON/ML_INIT/ML_INIT

      LOGICAL CTINIT,TIRINIT,GOLEMINIT,SAMURAIINIT,NINJAINIT
     $ ,COLLIERINIT
      DATA CTINIT,TIRINIT,GOLEMINIT,SAMURAIINIT,NINJAINIT,COLLIERINIT
     $ /.TRUE.,.TRUE.,.TRUE.,.TRUE.,.TRUE.,.TRUE./
      COMMON/REDUCTIONCODEINIT/CTINIT, TIRINIT, GOLEMINIT, SAMURAIINIT
     $ , NINJAINIT, COLLIERINIT


      CHARACTER(512) MLPATH
      DATA MLPATH/'[[NA]]'/
      COMMON/MLPATH/MLPATH

      INTEGER I

C     Just a dummy call for LD to pick up this function
C     when creating the BLHA2 dynamic library
      DUMMY = ' '
      CALL SETPARA2(DUMMY)

      IF (LEN(PATH).GE.4 .AND. PATH(1:4).EQ.'auto') THEN
        IF (MLPATH(1:6).EQ.'[[NA]]') THEN
C         Try to automatically find the path
          PREFIX='./'
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          OPEN(1, FILE=FPATH, ERR=1, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 1        CONTINUE
          CLOSE(1)
          PREFIX='./MadLoop5_resources/'
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          OPEN(1, FILE=FPATH, ERR=2, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 2        CONTINUE
          CLOSE(1)
          PREFIX='../MadLoop5_resources/'
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          OPEN(1, FILE=FPATH, ERR=3, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 3        CONTINUE
          CLOSE(1)
C         
C         Try to automatically find the path from the executable
C          location
C         particularly usefull in gridpack readonly mode
C         
          CALL GETARG(0,PATH)  !path is the PATH to the madevent executable (either global or from launching directory)
          POS = INDEX(PATH,'/',.TRUE.)
          PREFIX = PATH(:POS)
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          WRITE(*,*) 'test', FPATH
          OPEN(1, FILE=FPATH, ERR=4, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 4        CONTINUE
          CLOSE(1)
          PREFIX= PREFIX // '/MadLoop5_resources/'
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          WRITE(*,*) 'test', FPATH
          OPEN(1, FILE=FPATH, ERR=5, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 5        CONTINUE
          CLOSE(1)
          PREFIX= PATH(:POS) // '/../MadLoop5_resources/'
          CALL JOINPATH(PREFIX,NAMETOCHECK,FPATH)
          WRITE(*,*) 'test', FPATH
          OPEN(1, FILE=FPATH, ERR=6, STATUS='OLD',ACTION='READ')
          MLPATH=PREFIX
          GOTO 10
 6        CONTINUE
          CLOSE(1)

C         We could not automatically find the auxiliary files
          WRITE(*,*) '==='
          WRITE(*,*) 'ERROR: MadLoop5 could not automatically find the'
     $     //' file MadLoopParams.dat.'
          WRITE(*,*) '==='
          WRITE(*,*) '(Try using <CALL setMadLoopPath(/my/path)>'
     $     //' (before your first call to MadLoop) in order to set the'
     $     //' directory where this file is located as well as  other'
     $     //' auxiliary files, such as <xxx>_ColorNumFactors.dat,'
     $     //' <xxx>_ColorDenomFactors.dat, etc..)'
          STOP
 10       CONTINUE
          CLOSE(1)
          RETURN
        ENDIF
      ELSE
C       Use the one specified by the user
C       Make sure there is a separator added
        I =1
        DO WHILE (I.LE.LEN(PATH) .AND. PATH(I:I).NE.' ')
          I=I+1
        ENDDO
        IF (PATH(I-1:I-1).NE.'/') THEN
          PATH(I:I) = '/'
        ENDIF
        MLPATH=PATH
      ENDIF

C     Check that the FilePath set is correct
      CALL JOINPATH(MLPATH,NAMETOCHECK,FPATH)
      OPEN(1, FILE=FPATH, ERR=33, STATUS='OLD',ACTION='READ')
      GOTO 11
 33   CONTINUE
      CLOSE(1)
      WRITE(*,*) '==='
      WRITE(*,*) 'ERROR: The MadLoop5 auxiliary files could not be'
     $ //' found in ',MLPATH
      WRITE(*,*) '==='
      STOP
 11   CONTINUE
      CLOSE(1)

      END

      INTEGER FUNCTION SET_RET_CODE_U(MLRED,DOING_QP,STABLE)
C     
C     This functions returns the value of U
C     
C     
C     U == 0
C     Not stable.
C     U == 1
C     Stable with CutTools in double precision.
C     U == 2
C     Stable with PJFry++.
C     U == 3
C     Stable with IREGI.
C     U == 4
C     Stable with Golem95.
C     U == 5
C     Stable with Samurai.
C     U == 6
C     Stable with Ninja in double precision.
C     U == 7
C     Stable with COLLIER.
C     U == 8
C     Stable with Ninja in quadruple precision.
C     U == 9
C     Stable with CutTools in quadruple precision.
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER MLRED
      LOGICAL DOING_QP,STABLE
C     
C     LOCAL VARIABLES
C     
C     
C     FUNCTION
C     
C     
C     BEGIN CODE
C     
      IF(.NOT.STABLE)THEN
        SET_RET_CODE_U=0
        RETURN
      ENDIF
      IF(DOING_QP)THEN
        IF(MLRED.EQ.1)THEN
          SET_RET_CODE_U=9
          RETURN
        ELSEIF(MLRED.EQ.6)THEN
          SET_RET_CODE_U=8
          RETURN
        ELSE
          STOP 'Only CutTools and Ninja can use quardruple precision'
        ENDIF
      ENDIF
      IF(MLRED.GE.1.AND.MLRED.LE.7)THEN
        SET_RET_CODE_U=MLRED
      ELSE
        STOP 'Only CutTools, PJFry++, IREGI, Golem95, Samurai, Ninja'
     $   //' and COLLIER are available'
      ENDIF
      END

      SUBROUTINE DETECT_LOOPLIB(LIBNUM,NLOOPLINE,RANK,COMPLEX_MASS
     $ ,HAS_HEFT_VERTEX,MAX_SPIN_CONNECTED_TO_LOOP,LPASS)
C     
C     DETECT WHICH LOOP LIB PASSED
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER LIBNUM,NLOOPLINE,RANK,MAX_SPIN_CONNECTED_TO_LOOP
C     The argument HAS_HEFT_VERTEX is only to implement correctly
C      CutTools limitation
      LOGICAL COMPLEX_MASS,LPASS,HAS_HEFT_VERTEX
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------
      IF(LIBNUM.EQ.1)THEN
C       CutTools
        CALL DETECT_CUTTOOLS(NLOOPLINE,RANK,COMPLEX_MASS
     $   ,HAS_HEFT_VERTEX,MAX_SPIN_CONNECTED_TO_LOOP,LPASS)
      ELSEIF(LIBNUM.EQ.2)THEN
C       PJFry++
        CALL DETECT_PJFRY(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSEIF(LIBNUM.EQ.3)THEN
C       IREGI
        CALL DETECT_IREGI(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSEIF(LIBNUM.EQ.4)THEN
C       Golem95
        CALL DETECT_GOLEM(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSEIF(LIBNUM.EQ.5)THEN
C       Samurai
        CALL DETECT_SAMURAI(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSEIF(LIBNUM.EQ.6)THEN
C       Ninja 
        CALL DETECT_NINJA(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSEIF(LIBNUM.EQ.7)THEN
C       Collier 
        CALL DETECT_COLLIER(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
      ELSE
        STOP 'Only CutTools, PJFry++, IREGI, Golem95, Samurai, Ninja'
     $   //' and COLLIER are available'
      ENDIF
      RETURN
      END

      SUBROUTINE DETECT_CUTTOOLS(NLOOPLINE,RANK,COMPLEX_MASS
     $ ,HAS_HEFT_VERTEX,MAX_SPIN_CONNECTED_TO_LOOP,LPASS)
C     
C     DETECT whether CUTTOOLS CAN BE USED OR NOT
C     
      IMPLICIT NONE

C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      INTEGER MAX_SPIN_CONNECTED_TO_LOOP
      LOGICAL COMPLEX_MASS,LPASS,HAS_HEFT_VERTEX
C     
C     LOCAL VARIABLES
C     
      INTEGER MAX_RANK
C     ----------
C     BEGIN CODE
C     ----------
      LPASS=.TRUE.
C     The limit of 10 loop lines is just a parameter hardcoded in
C      CutTools sources.
C     It can easily be increased if necessary.
C     Also in the presence of spin2 particles, RANK=NLOOPLINE+1 is not
C      supported,
C     or in general whenever the higher rank doesn't come from the
C      Higgs effective vertex.

      IF (MAX_SPIN_CONNECTED_TO_LOOP.LE.3.AND.HAS_HEFT_VERTEX) THEN
        MAX_RANK = NLOOPLINE+1
      ELSE
        MAX_RANK = NLOOPLINE
      ENDIF

      IF( (RANK.GT.MAX_RANK).OR.(NLOOPLINE.GT.10) ) THEN
        LPASS=.FALSE.
      ENDIF

      RETURN
      END

      SUBROUTINE DETECT_SAMURAI(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     DETECT whether Samurai CAN BE USED OR NOT
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------
      LPASS=.TRUE.
C     The limit of 8 loop lines is just a parameter hardcoded in
C      Samurai sources.
C     It can easily be increased if necessary.
      IF((NLOOPLINE+1.LT.RANK).OR.(NLOOPLINE.GT.8)) THEN
        LPASS=.FALSE.
      ENDIF
      RETURN
      END

      SUBROUTINE DETECT_NINJA(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     Detect whether Ninja can be used or not
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------
      LPASS=.TRUE.
C     The limit of rank 20 is just a parameter hardcoded in Ninja
C      sources.
C     It can easily be increased if necessary.
      IF((NLOOPLINE+1.LT.RANK).OR.(RANK.GE.20)) THEN
        LPASS=.FALSE.
      ENDIF
      RETURN
      END

      SUBROUTINE DETECT_COLLIER(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     Detect whether Collier can be used or not
C     
      USE COLLIER
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
      INTEGER CURRENT_COLLIERMODE
C     
C     GLOBAL VARIABLES
C     
      LOGICAL CTINIT,TIRINIT,GOLEMINIT,SAMURAIINIT,NINJAINIT
     $ ,COLLIERINIT
      COMMON/REDUCTIONCODEINIT/CTINIT, TIRINIT, GOLEMINIT, SAMURAIINIT
     $ , NINJAINIT, COLLIERINIT
      INCLUDE 'MadLoopParams.inc'
C     ----------
C     BEGIN CODE
C     ----------
      IF (.NOT.COLLIERINIT) THEN
        CALL GETMODE_CLL(CURRENT_COLLIERMODE)
      ELSE
        CURRENT_COLLIERMODE = COLLIERMODE
      ENDIF
      LPASS=.TRUE.
      IF (CURRENT_COLLIERMODE.NE.1) THEN
C       The DD branch is used and it has limitations
        IF((NLOOPLINE.GT.6).OR.(RANK.GT.NLOOPLINE)) THEN
          LPASS=.FALSE.
        ENDIF
      ELSE
C       Limitations of the COLI branch are academic.
        LPASS=.TRUE.
      ENDIF
      RETURN
      END

      SUBROUTINE DETECT_PJFRY(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     DETECT whether PJFRY++ CAN BE USED OR NOT
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------
      LPASS=.TRUE.
      IF(NLOOPLINE.LT.RANK.OR.RANK.GT.5.OR.NLOOPLINE.GT.5.OR.COMPLEX_MA
     $SS.OR.NLOOPLINE.EQ.1) THEN
        LPASS=.FALSE.
      ENDIF
      RETURN
      END

      SUBROUTINE DETECT_IREGI(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     DETECT whether IREGI CAN BE USED OR NOT
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------
C     Stability studies show that IREGI is completely unstable at rank
C      7 and above.
      LPASS=.TRUE.
      IF(NLOOPLINE.GE.8.OR.RANK.GE.7)LPASS=.FALSE.
      RETURN
      END

      SUBROUTINE DETECT_GOLEM(NLOOPLINE,RANK,COMPLEX_MASS,LPASS)
C     
C     DETECT whether Golem95 CAN BE USED OR NOT
C     
      IMPLICIT NONE
C     
C     CONSTANTS
C     
C     
C     ARGUMENTS
C     
      INTEGER NLOOPLINE,RANK
      LOGICAL COMPLEX_MASS,LPASS
C     
C     LOCAL VARIABLES
C     
C     
C     GLOBAL VARIABLES
C     
C     ----------
C     BEGIN CODE
C     ----------

      LPASS=.TRUE.
      IF(NLOOPLINE.GE.7.OR.RANK.GE.7.OR.NLOOPLINE.LE.1)LPASS=.FALSE.
      IF(NLOOPLINE.LE.5.AND.RANK.GT.NLOOPLINE+1)LPASS=.FALSE.
      IF(NLOOPLINE.EQ.6.AND.RANK.GT.NLOOPLINE)LPASS=.FALSE.
      RETURN
      END

C     Now some sorting related routines. Only to be used for small 
C     arrays since these are not the most optimized sorting algorithms.

        ! --------------------------------------------------------------------
        ! INTEGER FUNCTION  FindMinimum():
        !    This function returns the location of the minimum in the section
        ! between Start and End.
        ! --------------------------------------------------------------------

      INTEGER FUNCTION  FINDMINIMUM(X, MSTART, MEND)
      IMPLICIT  NONE
      INTEGER MAXNREF_EVALS
      PARAMETER (MAXNREF_EVALS=100)
      DOUBLE PRECISION, DIMENSION(MAXNREF_EVALS), INTENT(IN) :: X
      INTEGER, INTENT(IN)							  :: MSTART, MEND
      INTEGER										  :: MINIMUM
      INTEGER										  :: LOCATION
      INTEGER										  :: I

      MINIMUM  = X(MSTART)  ! assume the first is the min
      LOCATION = MSTART  ! record its position
      DO I = MSTART+1, MEND  ! start with next elements
        IF (X(I) < MINIMUM) THEN  !   if x(i) less than the min?
          MINIMUM  = X(I)  !      Yes, a new minimum found
          LOCATION = I  !      record its position
          END IF
          END DO
          FINDMINIMUM = LOCATION  ! return the position
          END FUNCTION  FINDMINIMUM

            ! --------------------------------------------------------------------
            ! SUBROUTINE  Swap():
            !    This subroutine swaps the values of its two formal arguments.
            ! --------------------------------------------------------------------

          SUBROUTINE  SWAP(A, B)
          IMPLICIT  NONE
          REAL*8,  INTENT(INOUT) :: A, B
          REAL*8                 :: TEMP

          TEMP = A
          A    = B
          B    = TEMP
          END SUBROUTINE  SWAP

            ! --------------------------------------------------------------------
            ! SUBROUTINE  Sort():
            !    This subroutine receives an array x() and sorts it into ascending
            ! order.
            ! --------------------------------------------------------------------

          SUBROUTINE  SORT(X, MSIZE)
          IMPLICIT  NONE
          INTEGER MAXNREF_EVALS
          PARAMETER (MAXNREF_EVALS=100)
          REAL*8, DIMENSION(MAXNREF_EVALS), INTENT(INOUT)  :: X
          INTEGER, INTENT(IN)							   :: MSIZE
          INTEGER										   :: I
          INTEGER										   :: LOCATION
          INTEGER 										   :: FINDMINIMUM
          DO I = 1, MSIZE-1  ! except for the last
            LOCATION = FINDMINIMUM(X, I, MSIZE)  ! find min from this to last
            CALL  SWAP(X(I), X(LOCATION))  ! swap this and the minimum
            END DO
            END SUBROUTINE  SORT

              ! --------------------------------------------------------------------
              ! REAL*8 FUNCTION  Median() :
              !    This function receives an array X of N entries, copies its value
              ! to a local array Temp(), sorts Temp() and computes the median.
              !    The returned value is of REAL type.
              ! --------------------------------------------------------------------

            REAL*8 FUNCTION  MEDIAN(X, N)
            IMPLICIT  NONE
            INTEGER MAXNREF_EVALS
            PARAMETER (MAXNREF_EVALS=100)
            REAL*8, DIMENSION(MAXNREF_EVALS), INTENT(IN)  :: X
            INTEGER, INTENT(IN)                			  :: N
            REAL*8, DIMENSION(MAXNREF_EVALS)              :: TEMP
            INTEGER                                         :: I

            DO I = 1, N  ! make a copy
              TEMP(I) = X(I)
              END DO
              CALL  SORT(TEMP, N)  ! sort the copy
              IF (MOD(N,2) == 0) THEN  ! compute the median
                MEDIAN = (TEMP(N/2) + TEMP(N/2+1)) / 2.0D0
              ELSE
                MEDIAN = TEMP(N/2+1)
                END IF
                END FUNCTION  MEDIAN