164#include "implicit_f.inc"
168#include "units_c.inc"
181 INTEGER NDIM, K, NXK(4), I, IPOS(4), IB(2,2,2,2),
182 . IP,IN,IM,IL,P,N,M,L,N1,N12,N123
184 . dx1,dx2,r(4),unr(4)
187 IF(
SIZE(xx) < ndim
THEN
188 WRITE(iout,*)
' ** INTERNAL ERROR - TABLE INTERPOLATION'
189 WRITE(istdo,*)
' ** INTERNAL ERROR - TABLE INTERPOLATION'
195 nxk(k)=
SIZE(table%X(k)%VALUES)
197 dx2 = table%X(k)%VALUES(i) - xx(k)
198 IF(dx2>=zero.OR.i==nxk(k))
THEN
200 r(k) =(table%X(k)%VALUES(i)-xx(k))/
201 . (table%X(k)%VALUES(i)-table%X(k)%VALUES(i-1))
217 ip=n123*(ipos(4)-1+p)
224 ib(l+1,m+1,n+1,p+1)=ip+in+im+il
234 yy= r(4)*( r(3)*( r(2)*( r(1)*ty%VALUES(ib(1,1,1,1))
235 . +unr(1)*ty%VALUES(ib(2,1,1,1)))
236 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,1,1))
237 . +unr(1)*ty%VALUES(ib(2,2,1,1))))
238 . +unr(3)*( r(2)*( r(1)*ty%VALUES(ib(1,1,2,1))
239 . +unr(1)*ty%VALUES(ib(2,1,2,1)))
240 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,2,1))
241 . +unr(1)*ty%VALUES(ib(2,2,2,1)))))
242 . +unr(4)*( r(3)*( r(2)*( r(1)*ty%VALUES(ib(1,1,1,2))
243 . +unr(1)*ty%VALUES(ib(2,1,1,2)))
244 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,1,2))
245 . +unr(1)*ty%VALUES(ib(2,2,1,2))))
246 . +unr(3)*( r(2)*( r(1)*ty%VALUES(ib(1,1,2,2))
247 . +unr(1)*ty%VALUES(ib(2,1,2,2)))
248 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,2,2))
249 . +unr(1)*ty%VALUES(ib(2,2,2,2)))))
261 ib(l+1,m+1,n+1,1)=in+im+il
270 yy=r(3) *( r(2)*( r(1)*ty%VALUES(ib(1,1,1,1))
271 . +unr(1)*ty%VALUES(ib(2,1,1,1)))
272 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,1,1))
273 . +unr(1)*ty%VALUES(ib(2,2,1,1))))
274 . +unr(3)*( r(2)*( r(1)*ty%VALUES(ib(1,1,2,1))
275 . +unr(1)*ty%VALUES(ib(2,1,2,1)))
276 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,2,1))
277 . +unr(1)*ty%VALUES(ib(2,2,2,1))))
286 ib(l+1,m+1,1,1)=im+il
294 yy=( r(2)*( r(1)*ty%VALUES(ib(1,1,1,1))
295 . +unr(1)*ty%VALUES(ib(2,1,1,1)))
296 . +unr(2)*( r(1)*ty%VALUES(ib(1,2,1,1))
297 . +unr(1)*ty%VALUES(ib(2,2,1,1))))
306 yy=r(1)*ty%VALUES(ipos(1))
307 . +unr(1)*ty%VALUES(ipos(1)+1)
329#include "implicit_f.inc"
333#include "com01_c.inc"
334#include "units_c.inc"
339 INTEGER ,
INTENT(IN) :: NEL
340 INTEGER ,
VALUE ,
INTENT(IN) :: DIMX
341 INTEGER ,
DIMENSION(DIMX,TABLE%NDIM) :: IPOS
342 my_real ,
DIMENSION(DIMX,TABLE%NDIM) :: xx
343 my_real ,
DIMENSION(NEL) :: yy, dydx1
347 LOGICAL,
DIMENSION(NEL) :: NEED_TO_COMPUTE
348 INTEGER NDIM, K, NXK(4), I, IB(NEL,2,2,2,2),
349 . IP,IN,IM,IL,P,N,M,L,N1,N12,N123
350 my_real :: dx2,r(nel,4),unr(nel,4),dx2_0(nel)
352 INTEGER :: ,M_INDX1,NINDX_2,M_INDX2
353 INTEGER,
DIMENSION(NEL) :: INDX_1,INDX_2
357 IF (
SIZE(xx,2) < table%NDIM)
THEN
358 WRITE(iout,*)
' ** INTERNAL ERROR - TABLE INTERPOLATION'
359 WRITE(istdo,*)
' ** INTERNAL ERROR - TABLE INTERPOLATION'
364 nxk(k)=
SIZE(table%X(k)%VALUES)
368 ipos(1:nel,k)=
max(ipos(1:nel,k),1)
373#include "vectorize.inc"
376 dx2_0(i) = table%X(k)%VALUES(m) - xx(i,k)
377 IF(dx2_0(i) >= zero)
THEN
378 nindx_1 = nindx_1 + 1
380 m_indx1 =
max(m_indx1,m)
382 nindx_2 = nindx_2 + 1
384 m_indx2 =
min(m_indx2,m)
388 need_to_compute(1:nindx_1) = .true.
390#include "vectorize.inc"
392 IF(need_to_compute(j))
THEN
395 dx2 = table%X(k)%VALUES(n) - xx(i,k)
396 IF(dx2<zero.OR.n <=1)
THEN
398 need_to_compute(j) = .false.
403 need_to_compute(1:nindx_2) = .true.
405#include "vectorize.inc"
407 IF(need_to_compute(j))
THEN
410 dx2 = table%X(k)%VALUES(n) - xx(i,k)
411 IF(dx2>=zero.OR.n==nxk(k))
THEN
413 need_to_compute(j) = .false.
421#include "vectorize.inc"
424 r(i,k) =(table%X(k)%VALUES(n+1)-xx(i,k))/
425 . (table%X(k)%VALUES(n+1)-table%X(k)%VALUES(n))
438 ip=n123*(ipos(i,4)-1+p)
440 in=n12*(ipos(i,3)-1+n)
442 im=n1*(ipos(i,2)-1+m)
445 ib(i,l+1,m+1,n+1,p+1)=ip+in+im+il
452 unr(1:nel,1:4)=one-r(1:nel,1:4)
453#include
"vectorize.inc"
457 . r(i,4)*(r(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,1,1))
458 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,1,1)))
459 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,1,1))
460 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,1,1))))
461 . +unr(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,2,1))
462 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,2,1)))
463 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,2,1))
464 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,2,1)))))
465 . +unr(i,4)*(r(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,1,1))
466 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,1,1)))
467 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,1,1))
468 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,1,1))))
469 . +unr(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,2,1))
470 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,2,1)))
471 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,2,1))
472 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,2,1)))))
475 . (r(i,4)*(r(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,1,1))
476 . -table%Y%VALUES(ib(i,1,1,1,1)))
477 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,1,1))
478 . -table%Y%VALUES(ib(i,1,2,1,1))))
479 . +unr(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,2,1))
480 . -table%Y%VALUES(ib(i,1,1,2,1)))
481 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,2,1))
482 . -table%Y%VALUES(ib(i,1,2,2,1)))))
483 . +unr(i,4)*(r(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,1,1))
484 . -table%Y%VALUES(ib(i,1,1,1,1)))
485 . +unr(i,2)*( table%Y%VALUES(ib(i,
486 . -table%Y%VALUES(ib(i,1,2,1,1))))
487 . +unr(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,2,1))
488 . -table%Y%VALUES(ib(i,1,1,2,1)))
489 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,2,1))
490 . -table%Y%VALUES(ib(i,1,2,2,1))))))/
491 . (table%X(1)%VALUES(ipos(i,1)+1)-table%X(1)%VALUES(ipos(i,1)))
501 in=n12*(ipos(i,3)-1+n)
503 im=n1*(ipos(i,2)-1+m)
506 ib(i,l+1,m+1,n+1,1)=in+im+il
512 unr(1:nel,1:3)=one-r(1:nel,1:3)
513#include "vectorize.inc"
517 . (r(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,1,1))
518 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,1,1)))
519 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,1,1))
520 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,1,1))))
521 . +unr(i,3)*(r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,2,1))
522 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,2,1)))
523 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,2,1))
524 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,2,1)))))
527 . (r(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,1,1))
528 . -table%Y%VALUES(ib(i,1,1,1,1)))
529 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,1,1))
530 . -table%Y%VALUES(ib(i,1,2,1,1))))
531 . +unr(i,3)*(r(i,2)*( table%Y%VALUES(ib(i,2,1,2,1))
532 . -table%Y%VALUES(ib(i,1,1,2,1)))
533 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,2,1))
534 . -table%Y%VALUES(ib(i,1,2,2,1)))))/
535 . (table%X(1)%VALUES(ipos(i,1)+1)-table%X(1)%VALUES(ipos(i,1)))
544 im=n1*(ipos(i,2)-1+m)
547 ib(i,l+1,m+1,1,1)=im+il
552 unr(1:nel,1:2)=one-r(1:nel,1:2)
553#include "vectorize.inc"
557 . (r(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,1,1,1))
558 . +unr(i,1)*table%Y%VALUES(ib(i,2,1,1,1)))
559 . +unr(i,2)*(r(i,1)*table%Y%VALUES(ib(i,1,2,1,1))
560 . +unr(i,1)*table%Y%VALUES(ib(i,2,2,1,1))))
562 . (r(i,2)*( table%Y%VALUES(ib(i,2,1,1,1))
563 . -table%Y%VALUES(ib(i,1,1,1,1)))
564 . +unr(i,2)*( table%Y%VALUES(ib(i,2,2,1,1))
565 . -table%Y%VALUES(ib(i,1,2,1,1))))/
566 . (table%X(1)%VALUES(ipos(i,1)+1)-table%X(1)%VALUES(ipos(i,1)))
571 unr(1:nel,1:1)=one-r(1:nel,1:1)
572#include "vectorize.inc"
575 yy(i)= r(i,1)*table%Y%VALUES(ipos(i,1))
576 . +unr(i,1)*table%Y%VALUES(ipos(i,1)+1)
577 dydx1(i)=(table%Y%VALUES(ipos(i,1)+1)-table%Y%VALUES(ipos(i,1)))/
578 . (table%X(1)%VALUES(ipos(i,1)+1)-table%X(1)%VALUES(ipos(i,1)))