-
Notifications
You must be signed in to change notification settings - Fork 5
/
int2spd1.F90
5125 lines (5105 loc) · 214 KB
/
int2spd1.F90
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
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
! Copyright 2014-2021 Kazuya Ishimura
!
! Licensed under the Apache License, Version 2.0 (the "License");
! you may not use this file except in compliance with the License.
! You may obtain a copy of the License at
!
! http:https://www.apache.org/licenses/LICENSE-2.0
!
! Unless required by applicable law or agreed to in writing, software
! distributed under the License is distributed on an "AS IS" BASIS,
! WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
! See the License for the specific language governing permissions and
! limitations under the License.
!
!--------------------------------------------------------------------------
subroutine int2dsss(phmdint,exfac1,exfac2,xyziq,xzkl,rot,nijkl,nbfijkl)
!--------------------------------------------------------------------------
!
! Calculate (ds|ss) integrals
!
! In : exfac12, exfac34 (exponents and coefficients of primitive pair functions)
! xyziq (x,y,z elements of i and q)
! xzkl (x,z elements of k and l)
! nij, nkl (number of primitive pair functions)
! Out : phmdint (two-electron integral)
!
use fmtgrid, only : fgrid, threshtval
implicit none
integer,intent(in) :: nijkl(2), nbfijkl(4)
integer :: ij, kl, igrid, l, ii
real(8),parameter :: zero=0.0D+00, one=1.0D+00, sqrtpi4=0.8862269254527580D+00
real(8),parameter :: half=0.5D+00, two=2.0D+00, three=3.0D+00
real(8),parameter :: sqrt3=1.73205080756888D+00, sqrt3h=8.660254037844386D-01
real(8),intent(in) :: exfac1(5,*), exfac2(5,*)
real(8),intent(in) :: xyziq(3,*), xzkl(2), rot(3,3)
real(8),intent(out) :: phmdint(6,6,6,6)
real(8) :: tval, tval2, tval3, tval4, tval5, tval6, tval7, tval8, tval9, tval10
real(8) :: tinv, ft(0:2)
real(8) :: f0, f1(2), f2(3), r0(2), r1(3), r2(6)
real(8) :: ex12, ex34, ex43, ex14, ex41, expq, ex3q, ex4q, c12, c34, zip, xiq, yiq, ziq
real(8) :: xiq2, yiq2, xypq2, zpq, zpq2, fac, qmd, qmd2, qx, qz, xx, xz, zz
real(8) :: eri(6), work(6), rot2(6,6), rot3(6,5)
!
! Zero-clear
!
r0(1:2)= zero
r1(1:3)= zero
r2(1:6)= zero
!
do kl= 1,nijkl(2)
ex34= exfac2(1,kl)
ex43= exfac2(2,kl)
ex3q= exfac2(3,kl)
ex4q= exfac2(4,kl)
c34 = exfac2(5,kl)
xiq = xyziq(1,kl)
yiq = xyziq(2,kl)
ziq = xyziq(3,kl)
xiq2= xiq*xiq
yiq2= yiq*yiq
xypq2= xiq2+yiq2
f0 = zero
f1(1:2)= zero
f2(1:3)= zero
do ij= 1,nijkl(1)
ex12= exfac1(1,ij)
zip = exfac1(4,ij)
c12 = exfac1(5,ij)
ex14= ex12+ex34
zpq = ziq-zip
zpq2= zpq*zpq
expq= ex12*ex34
tval=(xypq2+zpq2)*expq
!
! Calculate Fm(T)
!
if(tval >= threshtval*ex14) then
tinv= one/sqrt(tval)
ft(0)= c12*sqrtpi4*tinv
expq= expq*tinv*tinv
ft(1)= ft(0)*expq
ft(2)= ft(1)*expq*three
else
ex41= one/sqrt(ex14)
tval= tval*ex41*ex41
igrid= int(tval)
tval2= tval *tval
tval3= tval2*tval
tval4= tval2*tval2
tval5= tval2*tval3
tval6= tval3*tval3
tval7= tval4*tval3
tval8= tval4*tval4
tval9= tval4*tval5
tval10=tval5*tval5
do ii= 0,2
ft(ii)= fgrid(0,ii,igrid) +fgrid( 1,ii,igrid)*tval +fgrid( 2,ii,igrid)*tval2 &
& +fgrid(3,ii,igrid)*tval3+fgrid( 4,ii,igrid)*tval4 +fgrid( 5,ii,igrid)*tval5 &
& +fgrid(6,ii,igrid)*tval6+fgrid( 7,ii,igrid)*tval7 +fgrid( 8,ii,igrid)*tval8 &
& +fgrid(9,ii,igrid)*tval9+fgrid(10,ii,igrid)*tval10
enddo
fac= c12*ex41
expq= expq*two*ex41*ex41
ft(0)= ft(0)*fac
ft(1)= ft(1)*fac*expq
ft(2)= ft(2)*fac*expq*expq
endif
f0= f0+ft(0)
f1(1)= f1(1)-ft(1)
f1(2)= f1(2)-ft(1)*zpq
f2(1)= f2(1)+ft(2)
f2(2)= f2(2)+ft(2)*zpq
f2(3)= f2(3)+ft(2)*zpq2
enddo
!
qmd = ex43*c34
qmd2= qmd*ex43
work(1)= qmd*ex3q
r0(1)= r0(1)+f0*qmd
r0(2)= r0(2)+f0*ex3q*ex3q*c34
r1(1)= r1(1)+f1(1)*work(1)*xiq
r1(2)= r1(2)+f1(1)*work(1)*yiq
r1(3)= r1(3)+f1(2)*work(1)
r2(1)= r2(1)+(f2(1)*xiq2+f1(1))*qmd2
r2(2)= r2(2)+(f2(1)*yiq2+f1(1))*qmd2
r2(3)= r2(3)+(f2(3) +f1(1))*qmd2
r2(4)= r2(4)+(f2(1)*xiq*yiq )*qmd2
r2(5)= r2(5)+(f2(2)*xiq )*qmd2
r2(6)= r2(6)+(f2(2)*yiq )*qmd2
enddo
!
qx= xzkl(1)
qz= xzkl(2)
xx= qx*qx
xz= qx*qz
zz= qz*qz
eri(1)= r2(1)+r1(1)*qx*two+r0(1)+r0(2)*xx
eri(2)= r2(2) +r0(1)
eri(3)= r2(3)+r1(3)*qz*two+r0(1)+r0(2)*zz
eri(4)= r2(4)+r1(2)*qx
eri(5)= r2(5)+r1(1)*qz+r1(3)*qx +r0(2)*xz
eri(6)= r2(6)+r1(2)*qz
!
rot2(1,1)= rot(1,1)*rot(1,1)
rot2(2,1)= rot(2,1)*rot(2,1)
rot2(3,1)= rot(3,1)*rot(3,1)
rot2(4,1)= rot(1,1)*rot(2,1)*two
rot2(5,1)= rot(1,1)*rot(3,1)*two
rot2(6,1)= rot(2,1)*rot(3,1)*two
do l= 2,3
rot2(1,l)= rot(1,1)*rot(1,l)*sqrt3
rot2(2,l)= rot(2,1)*rot(2,l)*sqrt3
rot2(3,l)= rot(3,1)*rot(3,l)*sqrt3
rot2(4,l)=(rot(1,1)*rot(2,l)+rot(2,1)*rot(1,l))*sqrt3
rot2(5,l)=(rot(1,1)*rot(3,l)+rot(3,1)*rot(1,l))*sqrt3
rot2(6,l)=(rot(2,1)*rot(3,l)+rot(3,1)*rot(2,l))*sqrt3
enddo
do l= 2,3
rot2(1,l*2)= rot(1,l)*rot(1,l)
rot2(2,l*2)= rot(2,l)*rot(2,l)
rot2(3,l*2)= rot(3,l)*rot(3,l)
rot2(4,l*2)= rot(1,l)*rot(2,l)*two
rot2(5,l*2)= rot(1,l)*rot(3,l)*two
rot2(6,l*2)= rot(2,l)*rot(3,l)*two
enddo
rot2(1,5)= rot(1,2)*rot(1,3)*sqrt3
rot2(2,5)= rot(2,2)*rot(2,3)*sqrt3
rot2(3,5)= rot(3,2)*rot(3,3)*sqrt3
rot2(4,5)=(rot(1,2)*rot(2,3)+rot(2,2)*rot(1,3))*sqrt3
rot2(5,5)=(rot(1,2)*rot(3,3)+rot(3,2)*rot(1,3))*sqrt3
rot2(6,5)=(rot(2,2)*rot(3,3)+rot(3,2)*rot(2,3))*sqrt3
!
if(nbfijkl(4) == 6)then
do l= 1,6
phmdint(l,1,1,1)= eri(1)*rot2(1,l)+eri(2)*rot2(2,l)+eri(3)*rot2(3,l) &
& +eri(4)*rot2(4,l)+eri(5)*rot2(5,l)+eri(6)*rot2(6,l)
enddo
else
do l= 1,6
rot3(l,1)= rot2(l,2)
rot3(l,2)= rot2(l,5)
rot3(l,3)= rot2(l,6)-(rot2(l,1)+rot2(l,4))*half
rot3(l,4)= rot2(l,3)
rot3(l,5)=(rot2(l,1)-rot2(l,4))*sqrt3h
enddo
do l= 1,5
phmdint(l,1,1,1)= eri(1)*rot3(1,l)+eri(2)*rot3(2,l)+eri(3)*rot3(3,l) &
& +eri(4)*rot3(4,l)+eri(5)*rot3(5,l)+eri(6)*rot3(6,l)
enddo
endif
!
return
end
!--------------------------------------------------------------------------
subroutine int2dpss(phmdint,exfac1,exfac2,xyziq,xzkl,rot,nijkl,nbfijkl)
!--------------------------------------------------------------------------
!
! Calculate (dp|ss) integrals
!
! In : exfac12, exfac34 (exponents and coefficients of primitive pair functions)
! xyziq (x,y,z elements of i and q)
! xzkl (x,z elements of k and l)
! nij, nkl (number of primitive pair functions)
! Out : phmdint (two-electron integral)
!
use fmtgrid, only : fgrid, threshtval
implicit none
integer,intent(in) :: nijkl(2), nbfijkl(4)
integer :: ij, kl, igrid, i, k, l, ii
real(8),parameter :: zero=0.0D+00, one=1.0D+00, sqrtpi4=0.8862269254527580D+00
real(8),parameter :: half=0.5D+00, two=2.0D+00, three=3.0D+00, five=5.0D+00
real(8),parameter :: sqrt3=1.73205080756888D+00, sqrt3h=8.660254037844386D-01
real(8),intent(in) :: exfac1(5,*), exfac2(5,*)
real(8),intent(in) :: xyziq(3,*), xzkl(2), rot(3,3)
real(8),intent(out) :: phmdint(6,6,6,6)
real(8) :: tval, tval2, tval3, tval4, tval5, tval6, tval7, tval8, tval9, tval10
real(8) :: tinv, ft(0:3)
real(8) :: f0, f1(2), f2(3), f3(4), r0(3), r1(3,3), r2(6,2), r3(10)
real(8) :: ex12, ex34, ex43, ex14, ex41, expq, expq2, ex3q, ex4q, c12, c34, zip, xiq, yiq
real(8) :: ziq, xiq2, yiq2, xyiq, xypq2, zpq, zpq2, fac, qmd, qmd2, qmd3, qmd3x, qmd3y
real(8) :: qx, qz, xx, xz, zz, xxx, xxz, xzz, zzz, eri(6,3), work(6), rot2(6,6), rot3(6,5)
!
! Zero-clear
!
r0(1:3)= zero
r1(1:3,1:3)= zero
r2(1:6,1:2)= zero
r3(1:10)= zero
!
do kl= 1,nijkl(2)
ex34= exfac2(1,kl)
ex43= exfac2(2,kl)
ex3q= exfac2(3,kl)
ex4q= exfac2(4,kl)
c34 = exfac2(5,kl)
xiq = xyziq(1,kl)
yiq = xyziq(2,kl)
ziq = xyziq(3,kl)
xiq2= xiq*xiq
yiq2= yiq*yiq
xyiq= xiq*yiq
xypq2= xiq2+yiq2
f0 = zero
f1(1:2)= zero
f2(1:3)= zero
f3(1:4)= zero
do ij= 1,nijkl(1)
ex12= exfac1(1,ij)
zip = exfac1(4,ij)
c12 = exfac1(5,ij)
ex14= ex12+ex34
zpq = ziq-zip
zpq2= zpq*zpq
expq= ex12*ex34
tval=(xypq2+zpq2)*expq
!
! Calculate Fm(T)
!
if(tval >= threshtval*ex14) then
tinv= one/sqrt(tval)
ft(0)= c12*sqrtpi4*tinv
expq= expq*tinv*tinv
ft(1)= ft(0)*expq
ft(2)= ft(1)*expq*three
ft(3)= ft(2)*expq*five
else
ex41= one/sqrt(ex14)
tval= tval*ex41*ex41
igrid= int(tval)
tval2= tval *tval
tval3= tval2*tval
tval4= tval2*tval2
tval5= tval2*tval3
tval6= tval3*tval3
tval7= tval4*tval3
tval8= tval4*tval4
tval9= tval4*tval5
tval10=tval5*tval5
do ii= 0,3
ft(ii)= fgrid(0,ii,igrid) +fgrid( 1,ii,igrid)*tval +fgrid( 2,ii,igrid)*tval2 &
& +fgrid(3,ii,igrid)*tval3+fgrid( 4,ii,igrid)*tval4 +fgrid( 5,ii,igrid)*tval5 &
& +fgrid(6,ii,igrid)*tval6+fgrid( 7,ii,igrid)*tval7 +fgrid( 8,ii,igrid)*tval8 &
& +fgrid(9,ii,igrid)*tval9+fgrid(10,ii,igrid)*tval10
enddo
fac= c12*ex41
expq= expq*two*ex41*ex41
expq2= expq*expq
ft(0)= ft(0)*fac
ft(1)= ft(1)*fac*expq
ft(2)= ft(2)*fac*expq2
ft(3)= ft(3)*fac*expq2*expq
endif
f0= f0+ft(0)
f1(1)= f1(1)-ft(1)
f1(2)= f1(2)-ft(1)*zpq
f2(1)= f2(1)+ft(2)
f2(2)= f2(2)+ft(2)*zpq
f2(3)= f2(3)+ft(2)*zpq2
f3(1)= f3(1)-ft(3)
f3(2)= f3(2)-ft(3)*zpq
f3(3)= f3(3)-ft(3)*zpq2
f3(4)= f3(4)-ft(3)*zpq2*zpq
enddo
!
qmd = ex43*c34
qmd2= qmd*ex43
qmd3= qmd2*ex43
qmd3x=qmd3*xiq
qmd3y=qmd3*yiq
work(1)= qmd2
work(2)= qmd*ex3q*ex3q
work(3)= qmd*ex3q*ex4q
work(4)= qmd2*ex3q
work(5)= qmd2*ex4q
!
r0(1)= r0(1)+f0*qmd*ex3q
r0(2)= r0(2)+f0*qmd*ex4q
r0(3)= r0(3)+f0*ex3q*ex3q*ex4q*c34
!
do i= 1,3
r1(1,i)= r1(1,i)+f1(1)*work(i)*xiq
r1(2,i)= r1(2,i)+f1(1)*work(i)*yiq
r1(3,i)= r1(3,i)+f1(2)*work(i)
enddo
!
do i= 1,2
r2(1,i)= r2(1,i)+(f2(1)*xiq2+f1(1))*work(i+3)
r2(2,i)= r2(2,i)+(f2(1)*yiq2+f1(1))*work(i+3)
r2(3,i)= r2(3,i)+(f2(3) +f1(1))*work(i+3)
r2(4,i)= r2(4,i)+(f2(1)*xiq*yiq )*work(i+3)
r2(5,i)= r2(5,i)+(f2(2)*xiq )*work(i+3)
r2(6,i)= r2(6,i)+(f2(2)*yiq )*work(i+3)
enddo
!
r3( 1)= r3( 1)+(f3(1)*xiq2+f2(1)*three)*qmd3x
r3( 2)= r3( 2)+(f3(1)*xiq2+f2(1) )*qmd3y
r3( 3)= r3( 3)+(f3(2)*xiq2+f2(2) )*qmd3
r3( 4)= r3( 4)+(f3(1)*yiq2+f2(1) )*qmd3x
r3( 5)= r3( 5)+(f3(2)*xyiq )*qmd3
r3( 6)= r3( 6)+(f3(3) +f2(1) )*qmd3x
r3( 7)= r3( 7)+(f3(1)*yiq2+f2(1)*three)*qmd3y
r3( 8)= r3( 8)+(f3(2)*yiq2+f2(2) )*qmd3
r3( 9)= r3( 9)+(f3(3) +f2(1) )*qmd3y
r3(10)= r3(10)+(f3(4) +f2(2)*three)*qmd3
enddo
!
qx= xzkl(1)
qz= xzkl(2)
xx= qx*qx
xz= qx*qz
zz= qz*qz
xxx=qx*qx*qx
xxz=qx*qx*qz
xzz=qx*qz*qz
zzz=qz*qz*qz
eri(1,1)= r3(1)+r1(1,1)*three+(+r2(1,1)*two+r2(1,2)+r0(1)*two+r0(2))*qx+(+r1(1,2) &
& +r1(1,3)*two)*xx+r0(3)*xxx
eri(2,1)= r3(4)+r1(1,1)+(+r2(2,2)+r0(2))*qx
eri(3,1)= r3(6)+r1(1,1)+(+r2(3,2)+r0(2))*qx+r2(5,1)*two*qz+r1(3,3)*two*xz+r1(1,2)*zz &
& +r0(3)*xzz
eri(4,1)= r3(2)+r1(2,1)+(+r2(4,1)+r2(4,2))*qx+r1(2,3)*xx
eri(5,1)= r3(3)+r1(3,1)+(+r2(5,1)+r2(5,2))*qx+(+r2(1,1)+r0(1))*qz+r1(3,3)*xx+( &
& +r1(1,2)+r1(1,3))*xz+r0(3)*xxz
eri(6,1)= r3(5)+r2(6,2)*qx+r2(4,1)*qz+r1(2,3)*xz
eri(1,2)= r3(2)+r1(2,1)+r2(4,1)*two*qx+r1(2,2)*xx
eri(2,2)= r3(7)+r1(2,1)*three
eri(3,2)= r3(9)+r1(2,1)+r2(6,1)*two*qz+r1(2,2)*zz
eri(4,2)= r3(4)+r1(1,1)+(+r2(2,1)+r0(1))*qx
eri(5,2)= r3(5)+r2(6,1)*qx+r2(4,1)*qz+r1(2,2)*xz
eri(6,2)= r3(8)+r1(3,1)+(+r2(2,1)+r0(1))*qz
eri(1,3)= r3(3)+r1(3,1)+r2(5,1)*two*qx+(+r2(1,2)+r0(2))*qz+r1(3,2)*xx+r1(1,3)*two*xz &
& +r0(3)*xxz
eri(2,3)= r3(8)+r1(3,1)+(+r2(2,2)+r0(2))*qz
eri(3,3)= r3(10)+r1(3,1)*three+(+r2(3,1)*two+r2(3,2)+r0(1)*two+r0(2))*qz+(+r1(3,2) &
& +r1(3,3)*two)*zz+r0(3)*zzz
eri(4,3)= r3(5)+r2(6,1)*qx+r2(4,2)*qz+r1(2,3)*xz
eri(5,3)= r3(6)+r1(1,1)+(+r2(3,1)+r0(1))*qx+(+r2(5,1)+r2(5,2))*qz+(+r1(3,2)+r1(3,3)) &
& *xz+r1(1,3)*zz+r0(3)*xzz
eri(6,3)= r3(9)+r1(2,1)+(+r2(6,1)+r2(6,2))*qz+r1(2,3)*zz
!
rot2(1,1)= rot(1,1)*rot(1,1)
rot2(2,1)= rot(2,1)*rot(2,1)
rot2(3,1)= rot(3,1)*rot(3,1)
rot2(4,1)= rot(1,1)*rot(2,1)*two
rot2(5,1)= rot(1,1)*rot(3,1)*two
rot2(6,1)= rot(2,1)*rot(3,1)*two
do l= 2,3
rot2(1,l)= rot(1,1)*rot(1,l)*sqrt3
rot2(2,l)= rot(2,1)*rot(2,l)*sqrt3
rot2(3,l)= rot(3,1)*rot(3,l)*sqrt3
rot2(4,l)=(rot(1,1)*rot(2,l)+rot(2,1)*rot(1,l))*sqrt3
rot2(5,l)=(rot(1,1)*rot(3,l)+rot(3,1)*rot(1,l))*sqrt3
rot2(6,l)=(rot(2,1)*rot(3,l)+rot(3,1)*rot(2,l))*sqrt3
enddo
do l= 2,3
rot2(1,l*2)= rot(1,l)*rot(1,l)
rot2(2,l*2)= rot(2,l)*rot(2,l)
rot2(3,l*2)= rot(3,l)*rot(3,l)
rot2(4,l*2)= rot(1,l)*rot(2,l)*two
rot2(5,l*2)= rot(1,l)*rot(3,l)*two
rot2(6,l*2)= rot(2,l)*rot(3,l)*two
enddo
rot2(1,5)= rot(1,2)*rot(1,3)*sqrt3
rot2(2,5)= rot(2,2)*rot(2,3)*sqrt3
rot2(3,5)= rot(3,2)*rot(3,3)*sqrt3
rot2(4,5)=(rot(1,2)*rot(2,3)+rot(2,2)*rot(1,3))*sqrt3
rot2(5,5)=(rot(1,2)*rot(3,3)+rot(3,2)*rot(1,3))*sqrt3
rot2(6,5)=(rot(2,2)*rot(3,3)+rot(3,2)*rot(2,3))*sqrt3
!
do l=1,6
work(1)= eri(l,1)
work(2)= eri(l,2)
work(3)= eri(l,3)
eri(l,1)= work(1)*rot(1,1)+work(2)*rot(2,1)+work(3)*rot(3,1)
eri(l,2)= work(1)*rot(1,2)+work(2)*rot(2,2)+work(3)*rot(3,2)
eri(l,3)= work(1)*rot(1,3)+work(2)*rot(2,3)+work(3)*rot(3,3)
enddo
!
if(nbfijkl(4) == 6)then
do k= 1,3
do l= 1,6
phmdint(l,k,1,1)= eri(1,k)*rot2(1,l)+eri(2,k)*rot2(2,l)+eri(3,k)*rot2(3,l) &
& +eri(4,k)*rot2(4,l)+eri(5,k)*rot2(5,l)+eri(6,k)*rot2(6,l)
enddo
enddo
else
do l= 1,6
rot3(l,1)= rot2(l,2)
rot3(l,2)= rot2(l,5)
rot3(l,3)= rot2(l,6)-(rot2(l,1)+rot2(l,4))*half
rot3(l,4)= rot2(l,3)
rot3(l,5)=(rot2(l,1)-rot2(l,4))*sqrt3h
enddo
do k= 1,3
do l= 1,5
phmdint(l,k,1,1)= eri(1,k)*rot3(1,l)+eri(2,k)*rot3(2,l)+eri(3,k)*rot3(3,l) &
& +eri(4,k)*rot3(4,l)+eri(5,k)*rot3(5,l)+eri(6,k)*rot3(6,l)
enddo
enddo
endif
!
return
end
!--------------------------------------------------------------------------
subroutine int2dsps(phmdint,exfac1,exfac2,xyziq,xzkl,rot,nijkl,nbfijkl)
!--------------------------------------------------------------------------
!
! Calculate (dp|ss) integrals
!
! In : exfac12, exfac34 (exponents and coefficients of primitive pair functions)
! xyziq (x,y,z elements of i and q)
! xzkl (x,z elements of k and l)
! nij, nkl (number of primitive pair functions)
! Out : phmdint (two-electron integral)
!
use fmtgrid, only : fgrid, threshtval
implicit none
integer,intent(in) :: nijkl(2), nbfijkl(4)
integer :: ij, kl, igrid, i, j, l, ii
real(8),parameter :: zero=0.0D+00, one=1.0D+00, sqrtpi4=0.8862269254527580D+00
real(8),parameter :: half=0.5D+00, two=2.0D+00, three=3.0D+00, five=5.0D+00
real(8),parameter :: sqrt3=1.73205080756888D+00, sqrt3h=8.660254037844386D-01
real(8),intent(in) :: exfac1(5,*), exfac2(5,*)
real(8),intent(in) :: xyziq(3,*), xzkl(2), rot(3,3)
real(8),intent(out) :: phmdint(6,6,6,6)
real(8) :: tval, tval2, tval3, tval4, tval5, tval6, tval7, tval8, tval9, tval10
real(8) :: tinv, ft(0:3)
real(8) :: f0, f1(2,2), f2(3,2), f3(4), r0(2), r1(3,3), r2(6,2), r3(10)
real(8) :: ex12, ex34, ex43, ex14, ex41, expq, expq2, ex3q, ex4q, c12, c34, zip, xiq, yiq
real(8) :: ziq, xiq2, yiq2, xyiq, xypq2, zpq, zpq2, fac, qmd, qmd2, qmd2x, qmd2y, pmd, zjp
real(8) :: qx, qz, xx, xz, zz, eri(6,3), work(6), rot2(6,6), rot3(6,5)
!
! Zero-clear
!
r0(1:2)= zero
r1(1:3,1:3)= zero
r2(1:6,1:2)= zero
r3(1:10)= zero
!
do kl= 1,nijkl(2)
ex34= exfac2(1,kl)
ex43= exfac2(2,kl)
ex3q= exfac2(3,kl)
ex4q= exfac2(4,kl)
c34 = exfac2(5,kl)
xiq = xyziq(1,kl)
yiq = xyziq(2,kl)
ziq = xyziq(3,kl)
xiq2= xiq*xiq
yiq2= yiq*yiq
xyiq= xiq*yiq
xypq2= xiq2+yiq2
f0= zero
f1(1:2,1:2)= zero
f2(1:3,1:2)= zero
f3(1:4)= zero
do ij= 1,nijkl(1)
ex12= exfac1(1,ij)
pmd = exfac1(2,ij)
zjp = exfac1(3,ij)
zip = exfac1(4,ij)
c12 = exfac1(5,ij)
ex14= ex12+ex34
zpq = ziq-zip
zpq2= zpq*zpq
expq= ex12*ex34
tval=(xypq2+zpq2)*expq
!
! Calculate Fm(T)
!
if(tval >= threshtval*ex14) then
tinv= one/sqrt(tval)
ft(0)= c12*sqrtpi4*tinv
expq= expq*tinv*tinv
ft(1)= ft(0)*expq
ft(2)= ft(1)*expq*three
ft(3)= ft(2)*expq*five
else
ex41= one/sqrt(ex14)
tval= tval*ex41*ex41
igrid= int(tval)
tval2= tval *tval
tval3= tval2*tval
tval4= tval2*tval2
tval5= tval2*tval3
tval6= tval3*tval3
tval7= tval4*tval3
tval8= tval4*tval4
tval9= tval4*tval5
tval10=tval5*tval5
do ii= 0,3
ft(ii)= fgrid(0,ii,igrid) +fgrid( 1,ii,igrid)*tval +fgrid( 2,ii,igrid)*tval2 &
& +fgrid(3,ii,igrid)*tval3+fgrid( 4,ii,igrid)*tval4 +fgrid( 5,ii,igrid)*tval5 &
& +fgrid(6,ii,igrid)*tval6+fgrid( 7,ii,igrid)*tval7 +fgrid( 8,ii,igrid)*tval8 &
& +fgrid(9,ii,igrid)*tval9+fgrid(10,ii,igrid)*tval10
enddo
fac= c12*ex41
expq= expq*two*ex41*ex41
expq2= expq*expq
ft(0)= ft(0)*fac
ft(1)= ft(1)*fac*expq
ft(2)= ft(2)*fac*expq2
ft(3)= ft(3)*fac*expq2*expq
endif
f0 = f0 +ft(0)*zjp
f1(1,1)= f1(1,1)-ft(1)*zjp
f1(2,1)= f1(2,1)-ft(1)*zjp*zpq
f1(1,2)= f1(1,2)-ft(1)*pmd
f1(2,2)= f1(2,2)-ft(1)*pmd*zpq
f2(1,1)= f2(1,1)+ft(2)*zjp
f2(2,1)= f2(2,1)+ft(2)*zjp*zpq
f2(3,1)= f2(3,1)+ft(2)*zjp*zpq2
f2(1,2)= f2(1,2)+ft(2)*pmd
f2(2,2)= f2(2,2)+ft(2)*pmd*zpq
f2(3,2)= f2(3,2)+ft(2)*pmd*zpq2
f3(1) = f3(1) -ft(3)*pmd
f3(2) = f3(2) -ft(3)*pmd*zpq
f3(3) = f3(3) -ft(3)*pmd*zpq2
f3(4) = f3(4) -ft(3)*pmd*zpq2*zpq
enddo
!
qmd = ex43*c34
qmd2= qmd*ex43
qmd2x=qmd2*xiq
qmd2y=qmd2*yiq
work(1)= qmd
work(2)= ex3q*ex3q*c34
work(3)= qmd2
work(4)= qmd*ex3q
!
r0(1)= r0(1)+f0*work(1)
r0(2)= r0(2)+f0*work(2)
!
r1(1,1)= r1(1,1)+f1(1,1)*work(4)*xiq
r1(2,1)= r1(2,1)+f1(1,1)*work(4)*yiq
r1(3,1)= r1(3,1)+f1(2,1)*work(4)
r1(1,2)= r1(1,2)+f1(1,2)*work(1)*xiq
r1(2,2)= r1(2,2)+f1(1,2)*work(1)*yiq
r1(3,2)= r1(3,2)+f1(2,2)*work(1)
r1(1,3)= r1(1,3)+f1(1,2)*work(2)*xiq
r1(2,3)= r1(2,3)+f1(1,2)*work(2)*yiq
r1(3,3)= r1(3,3)+f1(2,2)*work(2)
!
do i= 1,2
r2(1,i)= r2(1,i)+(f2(1,i)*xiq2+f1(1,i))*work(i+2)
r2(2,i)= r2(2,i)+(f2(1,i)*yiq2+f1(1,i))*work(i+2)
r2(3,i)= r2(3,i)+(f2(3,i) +f1(1,i))*work(i+2)
r2(4,i)= r2(4,i)+(f2(1,i)*xiq*yiq )*work(i+2)
r2(5,i)= r2(5,i)+(f2(2,i)*xiq )*work(i+2)
r2(6,i)= r2(6,i)+(f2(2,i)*yiq )*work(i+2)
enddo
!
r3( 1)= r3( 1)+(f3(1)*xiq2+f2(1,2)*three)*qmd2x
r3( 2)= r3( 2)+(f3(1)*xiq2+f2(1,2) )*qmd2y
r3( 3)= r3( 3)+(f3(2)*xiq2+f2(2,2) )*qmd2
r3( 4)= r3( 4)+(f3(1)*yiq2+f2(1,2) )*qmd2x
r3( 5)= r3( 5)+(f3(2)*xyiq )*qmd2
r3( 6)= r3( 6)+(f3(3) +f2(1,2) )*qmd2x
r3( 7)= r3( 7)+(f3(1)*yiq2+f2(1,2)*three)*qmd2y
r3( 8)= r3( 8)+(f3(2)*yiq2+f2(2,2) )*qmd2
r3( 9)= r3( 9)+(f3(3) +f2(1,2) )*qmd2y
r3(10)= r3(10)+(f3(4) +f2(2,2)*three)*qmd2
enddo
!
qx= xzkl(1)
qz= xzkl(2)
xx= qx*qx
xz= qx*qz
zz= qz*qz
eri(1,1)= -r3(1)-r1(1,2)-r2(1,2)*two*qx-r1(1,3)*xx
eri(2,1)= -r3(4)-r1(1,2)
eri(3,1)= -r3(6)-r1(1,2)-r2(5,2)*two*qz-r1(1,3)*zz
eri(4,1)= -r3(2)-r2(4,2)*qx
eri(5,1)= -r3(3)-r2(5,2)*qx-r2(1,2)*qz-r1(1,3)*xz
eri(6,1)= -r3(5)-r2(4,2)*qz
eri(1,2)= -r3(2)-r1(2,2)-r2(4,2)*two*qx-r1(2,3)*xx
eri(2,2)= -r3(7)-r1(2,2)
eri(3,2)= -r3(9)-r1(2,2)-r2(6,2)*two*qz-r1(2,3)*zz
eri(4,2)= -r3(4)-r2(2,2)*qx
eri(5,2)= -r3(5)-r2(6,2)*qx-r2(4,2)*qz-r1(2,3)*xz
eri(6,2)= -r3(8)-r2(2,2)*qz
eri(1,3)= -r3(3)+r2(1,1)-r1(3,2)+r0(1)+(-r2(5,2)*two+r1(1,1)*two)*qx+(-r1(3,3)+r0(2))*xx
eri(2,3)= -r3(8)+r2(2,1)-r1(3,2)+r0(1)
eri(3,3)= -r3(10)+r2(3,1)-r1(3,2)+r0(1)+(-r2(3,2)*two+r1(3,1)*two)*qz+(-r1(3,3)+r0(2))*zz
eri(4,3)= -r3(5)+r2(4,1)+(-r2(6,2)+r1(2,1))*qx
eri(5,3)= -r3(6)+r2(5,1)+(-r2(3,2)+r1(3,1))*qx+(-r2(5,2)+r1(1,1))*qz+(-r1(3,3)+r0(2))*xz
eri(6,3)= -r3(9)+r2(6,1)+(-r2(6,2)+r1(2,1))*qz
!
rot2(1,1)= rot(1,1)*rot(1,1)
rot2(2,1)= rot(2,1)*rot(2,1)
rot2(3,1)= rot(3,1)*rot(3,1)
rot2(4,1)= rot(1,1)*rot(2,1)*two
rot2(5,1)= rot(1,1)*rot(3,1)*two
rot2(6,1)= rot(2,1)*rot(3,1)*two
do l= 2,3
rot2(1,l)= rot(1,1)*rot(1,l)*sqrt3
rot2(2,l)= rot(2,1)*rot(2,l)*sqrt3
rot2(3,l)= rot(3,1)*rot(3,l)*sqrt3
rot2(4,l)=(rot(1,1)*rot(2,l)+rot(2,1)*rot(1,l))*sqrt3
rot2(5,l)=(rot(1,1)*rot(3,l)+rot(3,1)*rot(1,l))*sqrt3
rot2(6,l)=(rot(2,1)*rot(3,l)+rot(3,1)*rot(2,l))*sqrt3
enddo
do l= 2,3
rot2(1,l*2)= rot(1,l)*rot(1,l)
rot2(2,l*2)= rot(2,l)*rot(2,l)
rot2(3,l*2)= rot(3,l)*rot(3,l)
rot2(4,l*2)= rot(1,l)*rot(2,l)*two
rot2(5,l*2)= rot(1,l)*rot(3,l)*two
rot2(6,l*2)= rot(2,l)*rot(3,l)*two
enddo
rot2(1,5)= rot(1,2)*rot(1,3)*sqrt3
rot2(2,5)= rot(2,2)*rot(2,3)*sqrt3
rot2(3,5)= rot(3,2)*rot(3,3)*sqrt3
rot2(4,5)=(rot(1,2)*rot(2,3)+rot(2,2)*rot(1,3))*sqrt3
rot2(5,5)=(rot(1,2)*rot(3,3)+rot(3,2)*rot(1,3))*sqrt3
rot2(6,5)=(rot(2,2)*rot(3,3)+rot(3,2)*rot(2,3))*sqrt3
!
do l=1,6
work(1)= eri(l,1)
work(2)= eri(l,2)
work(3)= eri(l,3)
eri(l,1)= work(1)*rot(1,1)+work(2)*rot(2,1)+work(3)*rot(3,1)
eri(l,2)= work(1)*rot(1,2)+work(2)*rot(2,2)+work(3)*rot(3,2)
eri(l,3)= work(1)*rot(1,3)+work(2)*rot(2,3)+work(3)*rot(3,3)
enddo
!
if(nbfijkl(4) == 6) then
do j= 1,3
do l= 1,6
phmdint(l,1,j,1)= eri(1,j)*rot2(1,l)+eri(2,j)*rot2(2,l)+eri(3,j)*rot2(3,l) &
& +eri(4,j)*rot2(4,l)+eri(5,j)*rot2(5,l)+eri(6,j)*rot2(6,l)
enddo
enddo
else
do l= 1,6
rot3(l,1)= rot2(l,2)
rot3(l,2)= rot2(l,5)
rot3(l,3)= rot2(l,6)-(rot2(l,1)+rot2(l,4))*half
rot3(l,4)= rot2(l,3)
rot3(l,5)=(rot2(l,1)-rot2(l,4))*sqrt3h
enddo
do j= 1,3
do l= 1,5
phmdint(l,1,j,1)= eri(1,j)*rot3(1,l)+eri(2,j)*rot3(2,l)+eri(3,j)*rot3(3,l) &
& +eri(4,j)*rot3(4,l)+eri(5,j)*rot3(5,l)+eri(6,j)*rot3(6,l)
enddo
enddo
endif
!
return
end
!--------------------------------------------------------------------------
subroutine int2ddss(phmdint,exfac1,exfac2,xyziq,xzkl,rot,nijkl,nbfijkl)
!--------------------------------------------------------------------------
!
! Calculate (dd|ss) integrals
!
! In : exfac12, exfac34 (exponents and coefficients of primitive pair functions)
! xyziq (x,y,z elements of i and q)
! xzkl (x,z elements of k and l)
! nij, nkl (number of primitive pair functions)
! Out : phmdint (two-electron integral)
!
use fmtgrid, only : fgrid, threshtval
implicit none
integer,intent(in) :: nijkl(2), nbfijkl(4)
integer :: ij, kl, igrid, i, j, k, l, ii
real(8),parameter :: zero=0.0D+00, one=1.0D+00, sqrtpi4=0.8862269254527580D+00
real(8),parameter :: half=0.5D+00, two=2.0D+00, three=3.0D+00, four=4.0D+00, five=5.0D+00
real(8),parameter :: six=6.0D+00, seven=7.0D+00, sqrt3=1.73205080756888D+00
real(8),parameter :: sqrt3h=8.660254037844386D-01
real(8),intent(in) :: exfac1(5,*), exfac2(5,*)
real(8),intent(in) :: xyziq(3,*), xzkl(2), rot(3,3)
real(8),intent(out) :: phmdint(6,6,6,6)
real(8) :: tval, tval2, tval3, tval4, tval5, tval6, tval7, tval8, tval9, tval10
real(8) :: tinv, ft(0:4)
real(8) :: f0, f1(2), f2(3), f3(4), f4(5), r0(5), r1(3,4), r2(6,4), r3(10,2), r4(15)
real(8) :: ex12, ex34, ex43, ex14, ex41, expq, expq2, ex3q, ex4q, c12, c34, zip
real(8) :: xiq, yiq, ziq, xiq2, yiq2, xyiq, xiq4, yiq4, xyiq2, xypq2, zpq, zpq2, fac
real(8) :: ex33q, ex34q, ex44q, qmd, qmd2, qmd3, qmd4, qmd4x, qmd4y, qmd4xy
real(8) :: qx, qz, xx, xz, zz, xxx, xxz, xzz, zzz, xxxx, xxxz, xxzz, xzzz, zzzz
real(8) :: eri(6,6), work(6), f1w(3), f2w(6), f3w(10), rot2(6,6), rot3(6,5)
!
! Zero-clear
!
r0(1:5) = zero
r1(1:3,1:4) = zero
r2(1:6,1:4) = zero
r3(1:10,1:2)= zero
r4(1:15) = zero
!
do kl= 1,nijkl(2)
ex34= exfac2(1,kl)
ex43= exfac2(2,kl)
ex3q= exfac2(3,kl)
ex4q= exfac2(4,kl)
c34 = exfac2(5,kl)
xiq = xyziq(1,kl)
yiq = xyziq(2,kl)
ziq = xyziq(3,kl)
xiq2= xiq*xiq
yiq2= yiq*yiq
xyiq= xiq*yiq
xiq4= xiq2*xiq2
yiq4= yiq2*yiq2
xyiq2= xiq2*yiq2
xypq2= xiq2+yiq2
f0 = zero
f1(1:2)= zero
f2(1:3)= zero
f3(1:4)= zero
f4(1:5)= zero
do ij= 1,nijkl(1)
ex12= exfac1(1,ij)
zip = exfac1(4,ij)
c12 = exfac1(5,ij)
ex14= ex12+ex34
zpq = ziq-zip
zpq2= zpq*zpq
expq= ex12*ex34
tval=(xypq2+zpq2)*expq
!
! Calculate Fm(T)
!
if(tval >= threshtval*ex14) then
tinv= one/sqrt(tval)
ft(0)= c12*sqrtpi4*tinv
expq= expq*tinv*tinv
ft(1)= ft(0)*expq
ft(2)= ft(1)*expq*three
ft(3)= ft(2)*expq*five
ft(4)= ft(3)*expq*seven
else
ex41= one/sqrt(ex14)
tval= tval*ex41*ex41
igrid= int(tval)
tval2= tval *tval
tval3= tval2*tval
tval4= tval2*tval2
tval5= tval2*tval3
tval6= tval3*tval3
tval7= tval4*tval3
tval8= tval4*tval4
tval9= tval4*tval5
tval10=tval5*tval5
do ii= 0,4
ft(ii)= fgrid(0,ii,igrid) +fgrid( 1,ii,igrid)*tval +fgrid( 2,ii,igrid)*tval2 &
& +fgrid(3,ii,igrid)*tval3+fgrid( 4,ii,igrid)*tval4 +fgrid( 5,ii,igrid)*tval5 &
& +fgrid(6,ii,igrid)*tval6+fgrid( 7,ii,igrid)*tval7 +fgrid( 8,ii,igrid)*tval8 &
& +fgrid(9,ii,igrid)*tval9+fgrid(10,ii,igrid)*tval10
enddo
fac= c12*ex41
expq= expq*two*ex41*ex41
expq2= expq*expq
ft(0)= ft(0)*fac
ft(1)= ft(1)*fac*expq
ft(2)= ft(2)*fac*expq2
ft(3)= ft(3)*fac*expq2*expq
ft(4)= ft(4)*fac*expq2*expq2
endif
f0= f0+ft(0)
f1(1)= f1(1)-ft(1)
f1(2)= f1(2)-ft(1)*zpq
f2(1)= f2(1)+ft(2)
f2(2)= f2(2)+ft(2)*zpq
f2(3)= f2(3)+ft(2)*zpq2
f3(1)= f3(1)-ft(3)
f3(2)= f3(2)-ft(3)*zpq
f3(3)= f3(3)-ft(3)*zpq2
f3(4)= f3(4)-ft(3)*zpq2*zpq
f4(1)= f4(1)+ft(4)
f4(2)= f4(2)+ft(4)*zpq
f4(3)= f4(3)+ft(4)*zpq2
f4(4)= f4(4)+ft(4)*zpq2*zpq
f4(5)= f4(5)+ft(4)*zpq2*zpq2
enddo
!
qmd = ex43*c34
qmd2= qmd*ex43
qmd3= qmd*ex43*ex43
qmd4= qmd*ex43*ex43*ex43
ex33q= ex3q*ex3q
ex34q= ex3q*ex4q
ex44q= ex4q*ex4q
qmd4x= qmd4*xiq
qmd4y= qmd4*yiq
qmd4xy=qmd4*xiq*yiq
!
r0(1)= r0(1)+f0*qmd2
r0(2)= r0(2)+f0*qmd*ex33q
r0(3)= r0(3)+f0*qmd*ex34q
r0(4)= r0(4)+f0*qmd*ex44q
r0(5)= r0(5)+f0*ex33q*ex44q*c34
!
work(1)= qmd2*ex3q
work(2)= qmd2*ex4q
work(3)= qmd*ex34q*ex3q
work(4)= qmd*ex34q*ex4q
f1w(1)= f1(1)*xiq
f1w(2)= f1(1)*yiq
f1w(3)= f1(2)
do j= 1,4
do i= 1,3
r1(i,j)= r1(i,j)+f1w(i)*work(j)
enddo
enddo
!
work(1)= qmd3
work(2)= qmd2*ex33q
work(3)= qmd2*ex34q
work(4)= qmd2*ex44q
f2w(1)= f2(1)*xiq2+f1(1)
f2w(2)= f2(1)*yiq2+f1(1)
f2w(3)= f2(3) +f1(1)
f2w(4)= f2(1)*xyiq
f2w(5)= f2(2)*xiq
f2w(6)= f2(2)*yiq
do j= 1,4
do i= 1,6
r2(i,j)= r2(i,j)+f2w(i)*work(j)
enddo
enddo
!
work(1)= qmd3*ex3q
work(2)= qmd3*ex4q
f3w( 1)= (f3(1)*xiq2+f2(1)*three)*xiq
f3w( 2)= (f3(1)*xiq2+f2(1) )*yiq
f3w( 3)= (f3(2)*xiq2+f2(2) )
f3w( 4)= (f3(1)*yiq2+f2(1) )*xiq
f3w( 5)= (f3(2)*xyiq )
f3w( 6)= (f3(3) +f2(1) )*xiq
f3w( 7)= (f3(1)*yiq2+f2(1)*three)*yiq
f3w( 8)= (f3(2)*yiq2+f2(2) )
f3w( 9)= (f3(3) +f2(1) )*yiq
f3w(10)= (f3(4) +f2(2)*three)
do j= 1,2
do i= 1,10
r3(i,j)= r3(i,j)+f3w(i)*work(j)
enddo
enddo
!
r4( 1)= r4( 1)+(f4(1)*xiq4 +f3(1)*xiq2*six +f2(1)*three)*qmd4
r4( 2)= r4( 2)+(f4(1)*xiq2 +f3(1)*three )*qmd4xy
r4( 3)= r4( 3)+(f4(2)*xiq2 +f3(2)*three )*qmd4x
r4( 4)= r4( 4)+(f4(1)*xyiq2+f3(1)*xiq2+f3(1)*yiq2+f2(1) )*qmd4
r4( 5)= r4( 5)+(f4(2)*xiq2 +f3(2) )*qmd4y
r4( 6)= r4( 6)+(f4(3)*xiq2 +f3(1)*xiq2+f3(3) +f2(1) )*qmd4
r4( 7)= r4( 7)+(f4(1)*yiq2 +f3(1)*three )*qmd4xy
r4( 8)= r4( 8)+(f4(2)*yiq2 +f3(2) )*qmd4x
r4( 9)= r4( 9)+(f4(3) +f3(1) )*qmd4xy
r4(10)= r4(10)+(f4(4) +f3(2)*three )*qmd4x
r4(11)= r4(11)+(f4(1)*yiq4 +f3(1)*yiq2*six +f2(1)*three)*qmd4
r4(12)= r4(12)+(f4(2)*yiq2 +f3(2)*three )*qmd4y
r4(13)= r4(13)+(f4(3)*yiq2 +f3(1)*yiq2+f3(3) +f2(1) )*qmd4
r4(14)= r4(14)+(f4(4) +f3(2)*three )*qmd4y
r4(15)= r4(15)+(f4(5) +f3(3)*six +f2(1)*three)*qmd4
enddo
!
qx= xzkl(1)
qz= xzkl(2)
xx= qx*qx
xz= qx*qz
zz= qz*qz
xxx= qx*qx*qx
xxz= qx*qx*qz
xzz= qx*qz*qz
zzz= qz*qz*qz
xxxx= xx*xx
xxxz= xx*xz
xxzz= xx*zz
xzzz= xz*zz
zzzz= zz*zz
eri(1,1)= r4(1)+r2(1,1)*six+r0(1)*three+(+r3(1,1)*two+r3(1,2)*two+r1(1,1)*six &
& +r1(1,2)*six)*qx+(+r2(1,2)+r2(1,3)*four+r2(1,4)+r0(2)+r0(3)*four+r0(4))*xx+( &
& +r1(1,3)*two+r1(1,4)*two)*xxx+r0(5)*xxxx
eri(2,1)= r4(4)+r2(1,1)+r2(2,1)+r0(1)+(+r3(4,2)*two+r1(1,2)*two)*qx+(+r2(2,4)+r0(4)) &
& *xx
eri(3,1)= r4(6)+r2(1,1)+r2(3,1)+r0(1)+(+r3(6,2)*two+r1(1,2)*two)*qx+(+r3(3,1)*two &
& +r1(3,1)*two)*qz+(+r2(3,4)+r0(4))*xx+r2(5,3)*four*xz+(+r2(1,2)+r0(2))*zz &
& +r1(3,4)*two*xxz+r1(1,3)*two*xzz+r0(5)*xxzz
eri(4,1)= r4(2)+r2(4,1)*three+(+r3(2,1)+r3(2,2)*two+r1(2,1)+r1(2,2)*two)*qx+( &
& +r2(4,3)*two+r2(4,4))*xx+r1(2,4)*xxx
eri(5,1)= r4(3)+r2(5,1)*three+(+r3(3,1)+r3(3,2)*two+r1(3,1)+r1(3,2)*two)*qx+( &
& +r3(1,1)+r1(1,1)*three)*qz+(+r2(5,3)*two+r2(5,4))*xx+(+r2(1,2)+r2(1,3)*two &
& +r0(2)+r0(3)*two)*xz+r1(3,4)*xxx+(+r1(1,3)*two+r1(1,4))*xxz+r0(5)*xxxz
eri(6,1)= r4(5)+r2(6,1)+r3(5,2)*two*qx+(+r3(2,1)+r1(2,1))*qz+r2(6,4)*xx+r2(4,3)*two &
& *xz+r1(2,4)*xxz
eri(1,2)= r4(4)+r2(1,1)+r2(2,1)+r0(1)+(+r3(4,1)*two+r1(1,1)*two)*qx+(+r2(2,2)+r0(2)) &
& *xx
eri(2,2)= r4(11)+r2(2,1)*six+r0(1)*three
eri(3,2)= r4(13)+r2(2,1)+r2(3,1)+r0(1)+(+r3(8,1)*two+r1(3,1)*two)*qz+(+r2(2,2)+r0(2) &
& )*zz
eri(4,2)= r4(7)+r2(4,1)*three+(+r3(7,1)+r1(2,1)*three)*qx
eri(5,2)= r4(8)+r2(5,1)+(+r3(8,1)+r1(3,1))*qx+(+r3(4,1)+r1(1,1))*qz+(+r2(2,2)+r0(2)) &
& *xz
eri(6,2)= r4(12)+r2(6,1)*three+(+r3(7,1)+r1(2,1)*three)*qz
eri(1,3)= r4(6)+r2(1,1)+r2(3,1)+r0(1)+(+r3(6,1)*two+r1(1,1)*two)*qx+(+r3(3,2)*two &
& +r1(3,2)*two)*qz+(+r2(3,2)+r0(2))*xx+r2(5,3)*four*xz+(+r2(1,4)+r0(4))*zz &
& +r1(3,3)*two*xxz+r1(1,4)*two*xzz+r0(5)*xxzz
eri(2,3)= r4(13)+r2(2,1)+r2(3,1)+r0(1)+(+r3(8,2)*two+r1(3,2)*two)*qz+(+r2(2,4)+r0(4) &
& )*zz
eri(3,3)= r4(15)+r2(3,1)*six+r0(1)*three+(+r3(10,1)*two+r3(10,2)*two+r1(3,1)*six &
& +r1(3,2)*six)*qz+(+r2(3,2)+r2(3,3)*four+r2(3,4)+r0(2)+r0(3)*four+r0(4))*zz+( &
& +r1(3,3)*two+r1(3,4)*two)*zzz+r0(5)*zzzz
eri(4,3)= r4(9)+r2(4,1)+(+r3(9,1)+r1(2,1))*qx+r3(5,2)*two*qz+r2(6,3)*two*xz+r2(4,4) &
& *zz+r1(2,4)*xzz
eri(5,3)= r4(10)+r2(5,1)*three+(+r3(10,1)+r1(3,1)*three)*qx+(+r3(6,1)+r3(6,2)*two &
& +r1(1,1)+r1(1,2)*two)*qz+(+r2(3,2)+r2(3,3)*two+r0(2)+r0(3)*two)*xz+( &
& +r2(5,3)*two+r2(5,4))*zz+(+r1(3,3)*two+r1(3,4))*xzz+r1(1,4)*zzz+r0(5)*xzzz
eri(6,3)= r4(14)+r2(6,1)*three+(+r3(9,1)+r3(9,2)*two+r1(2,1)+r1(2,2)*two)*qz+( &
& +r2(6,3)*two+r2(6,4))*zz+r1(2,4)*zzz
eri(1,4)= r4(2)+r2(4,1)*three+(+r3(2,1)*two+r3(2,2)+r1(2,1)*two+r1(2,2))*qx+( &
& +r2(4,2)+r2(4,3)*two)*xx+r1(2,3)*xxx
eri(2,4)= r4(7)+r2(4,1)*three+(+r3(7,2)+r1(2,2)*three)*qx
eri(3,4)= r4(9)+r2(4,1)+(+r3(9,2)+r1(2,2))*qx+r3(5,1)*two*qz+r2(6,3)*two*xz+r2(4,2) &
& *zz+r1(2,3)*xzz
eri(4,4)= r4(4)+r2(1,1)+r2(2,1)+r0(1)+(+r3(4,1)+r3(4,2)+r1(1,1)+r1(1,2))*qx+( &
& +r2(2,3)+r0(3))*xx
eri(5,4)= r4(5)+r2(6,1)+(+r3(5,1)+r3(5,2))*qx+(+r3(2,1)+r1(2,1))*qz+r2(6,3)*xx+( &
& +r2(4,2)+r2(4,3))*xz+r1(2,3)*xxz
eri(6,4)= r4(8)+r2(5,1)+(+r3(8,2)+r1(3,2))*qx+(+r3(4,1)+r1(1,1))*qz+(+r2(2,3)+r0(3)) &
& *xz
eri(1,5)= r4(3)+r2(5,1)*three+(+r3(3,1)*two+r3(3,2)+r1(3,1)*two+r1(3,2))*qx+( &
& +r3(1,2)+r1(1,2)*three)*qz+(+r2(5,2)+r2(5,3)*two)*xx+(+r2(1,3)*two+r2(1,4) &
& +r0(3)*two+r0(4))*xz+r1(3,3)*xxx+(+r1(1,3)+r1(1,4)*two)*xxz+r0(5)*xxxz
eri(2,5)= r4(8)+r2(5,1)+(+r3(8,2)+r1(3,2))*qx+(+r3(4,2)+r1(1,2))*qz+(+r2(2,4)+r0(4)) &
& *xz
eri(3,5)= r4(10)+r2(5,1)*three+(+r3(10,2)+r1(3,2)*three)*qx+(+r3(6,1)*two+r3(6,2) &
& +r1(1,1)*two+r1(1,2))*qz+(+r2(3,3)*two+r2(3,4)+r0(3)*two+r0(4))*xz+(+r2(5,2) &
& +r2(5,3)*two)*zz+(+r1(3,3)+r1(3,4)*two)*xzz+r1(1,3)*zzz+r0(5)*xzzz
eri(4,5)= r4(5)+r2(6,1)+(+r3(5,1)+r3(5,2))*qx+(+r3(2,2)+r1(2,2))*qz+r2(6,3)*xx+( &
& +r2(4,3)+r2(4,4))*xz+r1(2,4)*xxz
eri(5,5)= r4(6)+r2(1,1)+r2(3,1)+r0(1)+(+r3(6,1)+r3(6,2)+r1(1,1)+r1(1,2))*qx+( &
& +r3(3,1)+r3(3,2)+r1(3,1)+r1(3,2))*qz+(+r2(3,3)+r0(3))*xx+(+r2(5,2) &
& +r2(5,3)*two+r2(5,4))*xz+(+r2(1,3)+r0(3))*zz+(+r1(3,3)+r1(3,4))*xxz+( &
& +r1(1,3)+r1(1,4))*xzz+r0(5)*xxzz
eri(6,5)= r4(9)+r2(4,1)+(+r3(9,2)+r1(2,2))*qx+(+r3(5,1)+r3(5,2))*qz+(+r2(6,3) &
& +r2(6,4))*xz+r2(4,3)*zz+r1(2,4)*xzz
eri(1,6)= r4(5)+r2(6,1)+r3(5,1)*two*qx+(+r3(2,2)+r1(2,2))*qz+r2(6,2)*xx+r2(4,3)*two &
& *xz+r1(2,3)*xxz
eri(2,6)= r4(12)+r2(6,1)*three+(+r3(7,2)+r1(2,2)*three)*qz
eri(3,6)= r4(14)+r2(6,1)*three+(+r3(9,1)*two+r3(9,2)+r1(2,1)*two+r1(2,2))*qz+( &
& +r2(6,2)+r2(6,3)*two)*zz+r1(2,3)*zzz
eri(4,6)= r4(8)+r2(5,1)+(+r3(8,1)+r1(3,1))*qx+(+r3(4,2)+r1(1,2))*qz+(+r2(2,3)+r0(3)) &
& *xz
eri(5,6)= r4(9)+r2(4,1)+(+r3(9,1)+r1(2,1))*qx+(+r3(5,1)+r3(5,2))*qz+(+r2(6,2) &
& +r2(6,3))*xz+r2(4,3)*zz+r1(2,3)*xzz
eri(6,6)= r4(13)+r2(2,1)+r2(3,1)+r0(1)+(+r3(8,1)+r3(8,2)+r1(3,1)+r1(3,2))*qz+( &
& +r2(2,3)+r0(3))*zz
!
rot2(1,1)= rot(1,1)*rot(1,1)
rot2(2,1)= rot(2,1)*rot(2,1)
rot2(3,1)= rot(3,1)*rot(3,1)
rot2(4,1)= rot(1,1)*rot(2,1)*two