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cc_dabnew.f90
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! The Full Polymorphic Package
! The module in this file is, to the best of our knowledge,
! the property of Lawrence Berkeley National Laboratory
! Its distribution and commercial usage may therefore be governed by the laws of the
! United States of America
module c_dabnew
use c_da_arrays,eeps=>eps
implicit none
private
! public
private daalc_lno1,daall,damult,dasqrt,dacmut,dacma,DALINt,dacctt
private dainvt,dapint,dadert,dacfut
private dadeb,dapac,dachk,damch,dadcd,dancd,hash,dehash
public C_STABLE_DA,C_watch_user,c_daini,c_daall0,c_davar,c_damul,c_dacycle
public c_dapok,c_dapek,c_etall1,c_DAshift,c_dacop,c_dacon,c_daadd,c_dacad,c_dasub
public c_dacsu,c_dasuc,c_dacmu,c_dadal1,c_dapri,c_dapri77,c_darea,c_darea77,c_daeps
public c_dacdi,c_dadic,c_count_da,c_mtree,c_dafun,c_DAABS,c_dadiv,c_take,c_datrunc,c_dader,c_datra
public c_daran,c_dacfu,c_matinv,c_dapek0,c_dapok0,c_dacct,c_dainv,c_etcom,c_danot
integer,private,parameter:: lsw=1
integer :: c_lda_max_used=0
! integer,private,parameter::nmax=400,lsw=1
! real(dp),private,parameter::tiny=c_1d_20
character(120),private :: line
logical(lp) C_STABLE_DA,C_watch_user,C_check_stable
real(dp), private :: eps=1.d-38
contains
!******************************************************************************
! *
! *
! *
! DIFFERENTIAL ALGEBRA PACKAGE OF M. BERZ *
! **************************** *
! holy3 complex *
! *
! *
! *
! VERSION FOR MACHINE IN LINE THAT IS NOT COMMENTED OFF *
! TO CREATE DIFFERENT VERSIONS, USE THE PROGRAM 'VERSION' *
! *
! *
! *
! *
! THIS PACKAGE WAS INITIALLY WRITTEN BY PROF. M. BERZ WHILE AT *
! THE LAWRENCE BERKELEY LABORATORY. *
! IT HAS BEEN EXTENSIVELY MODIFIED BY THE MEMBERS OF THE ESG GROUP. *
! THEREFORE PROF. BERZ SHOULD NOT BE HELD RESPONSIBLE FOR ANY BUGS. *
! *
! NEW RULES OF THE GAME (EXHAUSTIVE) *
! ********************************** *
! THERE ARE NONE *
! *
!******************************************************************************
!
!
! THIS FILE CONTAINS ROUTINES TO PERFORM DIFFERENTIAL ALGEBRA (DA)
! AS AN OPTION, ALSO COMPONENTWISE ALGEBRA (CA) CAN BE PERFORMED.
! A DESCRIPTION OF THE INTERNAL ARRAYS USED BY THE ROUTINES CAN
! BE FOUND IN BLOCKDATA DABLD.
!
!
! SHORT REFERENCE CHART
! *********************
!
! THE PARAMETERS USED BELOW HAVE THE FOLLOWING MEANING:
!
! A,B: NAME OF INPUT DA VECTORS (INTEGER)
! C: NAME OF OUTPUT DA VECTOR (INTEGER)
! X,Y: NAME OF INPUT DA MATRIX (INTEGER(...))
! Z: NAME OF OUTPUT DA MATRIX (INTEGER(...))
!
! F: NAME OF A DA FUNCTION (CHARACTER(4))
! G: NAME OF EXTERNAL FUNCTION (real(dp))
! JJ: ARRAY OF EXPONENTS (INTEGER(20))
! O: ORDER (INTEGER)
! N: NUMBER OF VARIABLES (INTEGER)
! I,J,K: INTEGER NUMBER (INTEGER
! R,RA,RB: REAL NUMBERS (real(dp))
! H: ARRAY OF LENGTH LH (real(dp))
! U: OUTPUT UNIT NUMBER (INTEGER)
! T: COMMENT TEXT (CHARACTER(10))
!
!
! SUBROUTINES AND THEIR CALLING PARAMETERS
! ****************************************
!
! c_daini(O,N,U): INITIALIZES CONTROL ARRAYS AND SETS MAX. ORDER O AND
! MAX. NUMBER OF VARIABLES N. MUST BE CALLED BEFORE ANY
! OTHER DA ROUTINE CAN BE USED.
!
! DAALL(A,I,T,O,N): ALLOCATES SPACE FOR I VECTORS A. T: CHARACTER NAME
! DADAL(A,I): DEALLOCATES THE I VECTORS A.
!! c_davar(A,R,I): MAKES A INDEPENDENT VARIABLE # I WITH INITIAL VALUE R
!! c_dacon(A,R): SETS A TO CONSTANT R
! DANOT(O): SETS NEW TRUNCATION ORDER O FOR DA OPERATIONS
! DAEPS(R): SETS NEW ZERO TOLERANCE EPSILON
!
!! c_dapek(A,JJ,R): RETURNS COEF R OF MONOMIAL WITH EXPONENTS JJ OF A
!! c_dapok(A,JJ,R): SETS COEF OF MONOMIAL WITH EXPONENTS JJ OF A TO R
!
!! c_dacop(A,C): PERFORMS C = A
!! c_daadd(A,B,C): PERFORMS C = A + B
!! c_c_dasub(A,B,C): PERFORMS C = A - B
!! c_damul(A,B,C): PERFORMS C = A * B
!! c_dadiv(A,B,C): PERFORMS C = A / B
!! DASQR(A,C): PERFORMS C = A^2 (SQUARE OF A)
!
!! c_dacad(A,RA,C): PERFORMS C = A + RA
!! c_dacsu(A,RA,C): PERFORMS C = A - RA
!! c_dasuc(A,RA,C): PERFORMS C = RA - A
!! c_dacmu(A,RA,C): PERFORMS C = A * RA
!! c_dacdi(A,RA,C): PERFORMS C = A / RA
!! c_dadic(A,RA,C): PERFORMS C = RA / A
!! DACMA(A,B,RB,C): PERFORMS C = A + RB*B
!!c_damulIN(A,B,RA,C,D,RB,C): PERFORMS C = A*B*RA + C*D*RB
!! DALIN(A,RA,B,RB,C): PERFORMS C = A*RA + B*RB
!! c_dafun(F,A,C): PERFORMS C = F(A) (DA FUNCTION)
!
!! c_daabs((A,R): PERFORMS R = |A| (NORM OF A)
!! DACOM(A,B,R): PERFORMS R = |A-B| (NORM OF A-B)
!! DAPOS(A,C): PERFORMS C(I) = |A(I)| (MAKE SIGNS POSITIVE)
!
!! DACCT(X,I,Y,J,Z,K) CONCATENATES Z = X o Y; I,J,K: # OF VECTORS IN X,Y,
!! DAINV(X,I,Z,K) INVERTS Z = X^-1; I,J: # OF VECTORS IN X,Y
!! DAPIN(X,I,Z,K,JJ) PARTIALLY INVERTS Z = X^-1; I,J: # OF VECTORS IN X,Y,
! JJ: ARRAY; NONZERO ENTRIES DENOTE TO BE INVERTED LINES
!
!! DADER(I,A,C): PERFORMS C = DA/DI (DERIV. WITH RESPECT TO VARIABLE I
!! DAPOI(A,B,C,I): PERFORMS C = [A,B] (POISSON BRACKET, 2*I: # PHASEVARS
!! c_dacfu(A,G,C): MULTIPLIES COEFFICIENTS WITH FUNCTION G(JJ)
!
! c_dapri(A,U): PRINTS DA VECTOR A TO UNIT U
! DAREA(A,U): READS DA VECTOR A FROM UNIT U
! DADEB(U,T,I): DEBUGGER, DUMPS TO U. T: MEMO, I=0: RETURN, I=1:STOP
!! DARAN(A,R,seed): FILLS A WITH RANDOM NUMBERS. R: FILLFACTOR
! DANUM(O,N,I): COMPUTES NUMBER OF MONOMIALS IN N VAR THROUGH ORDER O
!
!
! ADDITIONAL ROUTINES THE USER DOES NOT NEED TO CALL:
!
! DAINF: RETURNS INFOS ABOUT A DA VECTOR PREVIOUSLY DECLARED
! DAPAC: PACKS DA VECTORS
! DACHK: CHECKS IF DA VECTORS HAVE COMPATIBLE ATTRIBUTES
! DCODE: TRANSFORMS DIGITS IN A CERTAIN BASE TO A DECIMAL INTEGER
! NCODE: EXTRACTS DIGITS IN A CERTAIN BASE FROM A DECIMAL INTEGER
!
!
! FURTHER WISHES
! **************
!
! - CHECK DAREA AND c_dapri FOR CA VECTORS
! - MAKE DAFUN USE DASQR
!
!
! BLOCKDATA DABLD
! ***************
!
!
! PARAMETERS:
!
! c_lda: MAXIMUM NUMBER OF DA-VECTORS; CAN BE CHANGED QUITE ARBITRARILY
! c_lst: LENGTH OF MAIN STORAGE STACK; CAN BE CHANGED QUITE ARBITRARILY
! c_lea: MAXIMUM NUMBER OF MONOMIALS; CAN BE INCREASED FOR LARGE NO,NV
! c_lia: DIMENSION OF c_ia1,c_ia2; CAN BE INCREASED FOR LARGE NO,NV
! c_lno: MAXIMUM ORDER; CAN BE INCREASED TO ABOUT 1000
! c_lnv: MAXIMUM NUMBER OF VARIABLES; CAN BE INCREASED TO ABOUT 1000
!
! ALL THE CHANGES IN THE VALUES OF PARAMETERS HAVE TO BE MADE BY GLOBAL
! SUBSTITUTIONS IN ALL SUBROUTINES.
!
! c_daname: NAME OF DA VECTOR
!
! CC: STACK OF DOUBLE PRECISON COEFFICIENTS
! c_i_1: FIRST CHARACTERISTIC INTEGER (CF c_daini)
! c_i_2: SECOND CHARACTERISTIC INTEGER (CF c_daini)
!
! c_ie1: CHARACTERISTIC INTEGER 1 OF UNPACKED REPRESENTATION (CF c_daini)
! c_ie2: CHARACTERISTIC INTEGER 2 OF UNPACKED REPRESENTATION (CF c_daini)
! c_ieo: ORDER OF ENTRY IN UNPACKED REPRESENTATION
! c_ia1: REVERSE TO c_ie1 (CF c_daini)
! c_ia2: REVERSE TO c_ie2 (CF c_daini)
!
! c_idano: ORDER OF DA VECTOR; IN CA, NUMBER OF COMPONENTS
! c_idanv: NUMBER OF VARIABLES; IF 0, INDICATES CA VECTOR
! c_idapo: FIRST ADDRESS IN STACK
! c_idalm: NUMBER OF RESERVED STACK POSITIONS
! c_idall: NUMBER OF MOMENTARILY REQUIRED STACK POSITIONS
!
! c_nda_dab: NUMBER OF DA VECTORS MOMENTARILY DEFINED
! NST: NUMBER OF STACK POSITIONS MOMENTARILY ALLOCATED
! c_nomax: MAXIMUM REQUESTED ORDER (CF c_daini)
! c_nvmax: MAXIMUM REQUESTED NUMBER OF VARIABLES (CF c_daini)
! c_nmmax: MAXIMUM NUMBER OF MONOMIALS FOR c_nomax, c_nvmax (CF c_daini)
! c_nocut: MOMENTARY TRUNCATION ORDER
! EPS: TRUNCATION ACCURACY (CAN BE SET BY USER)
! EPSMAC: MANTISSA LENGTH OF MACHINE (PESSIMISTIC ESTIMATE)
!
!-----------------------------------------------------------------------------
!
subroutine c_daini(no,nv,iunit)
implicit none
! *****************************
!
! THIS SUBROUTINE SETS UP THE MAJOR ORDERING AND ADDRESSING ARRAYS IN
! COMMON BLOCK c_daini. IF IUNIT > 0, THE ARRAYS WILL BE PRINTED TO UNIT
! NUMBER IUNIT. AN EXAMPLE FOR THE ARRAYS GENERATED BY c_daini CAN BE
! FOUND AFTER THE ROUTINE.
!
!-----------------------------------------------------------------------------
!-----------------------------------------------------------------------------
! COMMON / DASCR / IS(20), RS(20)
!integer idao,is,iscrri
!real(dp) rs
!common/dascr/is(100),rs(100),iscrri(100),idao
!-----------------------------------------------------------------------------
!
integer i,iall,ibase,ic1,ic2,icmax,io1,io2,iout,iunit,jd,jjj,jjjj,jl,js,&
nn,no,nv,ipause,mypauses
integer,dimension(c_lnv+1)::n
integer,dimension(0:c_lnv)::k
integer,dimension(c_lnv)::j,jj
character(10) aa
!
!frs if(eps.le.zero) eps=c_1d_38
! if(EPS.le.zero) eps=c_1d_90
!frs epsmac=c_1d_7
if((.not.C_STABLE_DA)) then
if(C_watch_user) then
write(6,*) "big problem in dabnew ", sqrt(crash)
endif
return
endif
c_last_tpsa=1
if(nv.eq.0) return
call alloc_all_c(no,nv)
c_ndamaxi=0
!
do i=1, c_lda
c_allvec(i) = .false.
enddo
c_nhole=0
!*****************************************
! INITIALIZING VARIABLES IN COMMON / DA /
! ***************************************
!
c_nda_dab = 0
c_nst0 = 0
c_nomax = no
c_nvmax = nv
call danum_c(no,nv,c_nmmax)
c_nocut = no
c_lfi = 0
!
do i=0,c_lia
c_ia1(i) = 0
c_ia2(i) = 0
enddo
!
! do i=1,100
! is(i) = 0
! enddo
!
if(nv.gt.c_lnv.or.no.gt.c_lno) then
write(6,*) 'ERROR IN SUBROUTINE c_daini, NO, NV = ',no,nv
ipause=mypauses(1,line)
call dadeb !(31,'ERR c_daini ',1)
endif
!
ibase = no+1
js = nv/2
if(float(ibase)**((nv+1)/2).gt.float(c_lia)) then
write(line,'(a12,i4,a7,i4,a21,i4)') 'ERROR, NO = ',no,', NV = ',nv,' TOO LARGE FOR c_lia = ',c_lia
ipause=mypauses(2,line)
call dadeb !(31,'ERR c_daini ',1)
endif
!
icmax = 0
nn = 0
k(0) = 0
!
do io2=0,no
! ***************
!
n(1) = io2
jl = 0
jd = 1
!
50 jl = jl + jd
!
!old
! IF(JL.EQ.0) THEN
!old
! modified according to Wu Ying
!
if(jl.le.0) then
!
goto 100
elseif(jd.eq.1) then
j(jl) = 0
else
j(jl) = j(jl) + 1
endif
!
k(jl) = k(jl-1)*ibase + j(jl)
n(jl+1) = n(jl) - j(jl)
!
if(j(jl).gt.n(jl)) then
jd = -1
goto 50
elseif(jl.lt.js) then
jd = 1
goto 50
else
j(jl) = n(jl)
k(jl) = k(jl-1)*ibase + j(jl)
ic2 = k(jl)
icmax = max(icmax,ic2)
k(jl) = 0
!
c_ia2(ic2) = nn
!
do io1=0,no-io2
! ******************
!
n(js+1) = io1
jd = 1
!
70 jl = jl + jd
!
if(jl.eq.js) then
goto 80
elseif(jd.eq.1) then
j(jl) = 0
else
j(jl) = j(jl) + 1
endif
!
k(jl) = k(jl-1)*ibase + j(jl)
n(jl+1) = n(jl) - j(jl)
!
if(j(jl).gt.n(jl)) then
jd = -1
goto 70
elseif(jl.lt.nv) then
jd = 1
goto 70
else
jd = -1
j(jl) = n(jl)
k(jl) = k(jl-1)*ibase + j(jl)
ic1 = k(jl)
icmax = max(icmax,ic1)
nn = nn + 1
!
if(c_etiennefix) then
if(nn<=c_lea) then ! Etienne
c_ie1(nn) = ic1
c_ie2(nn) = ic2
endif ! Etienne
if(nn<=c_lst) then ! Etienne
c_i_1 (nn) = ic1
c_i_2 (nn) = ic2
endif
if(ic2.eq.0) c_ia1(ic1) = nn
if(nn<=c_lea) then ! Etienne
c_ieo(nn) = io1 + io2
endif ! Etienne
!
else
c_ie1(nn) = ic1
c_ie2(nn) = ic2
c_i_1 (nn) = ic1
c_i_2 (nn) = ic2
if(ic2.eq.0) c_ia1(ic1) = nn
c_ieo(nn) = io1 + io2
!
endif
goto 70
endif
!
80 continue
enddo
!
jd = -1
goto 50
endif
!
100 continue
enddo
!
if(nn.gt.c_lea.and.(.not.c_etiennefix)) then
write(line,'(a21,i4,a12)') 'ERROR IN c_daini, NN = ',nn,' EXCEEDS c_lea'
ipause=mypauses(3,line)
call dadeb !(31,'ERR c_daini ',1)
endif
!
! ALLOCATING SCRATCH VARIABLES
! ****************************
!
iall = 0
call daall1(iall,'$$UNPACK$$',c_nomax,c_nvmax)
!
do i=0,c_nomax
aa = '$$MUL $$'
write(aa(6:10),'(I5)') i
iall = 0
! CALL DAALL(IALL,1,AA,I,c_nvmax)
call daall1(iall,aa,c_nomax,c_nvmax)
enddo
!
c_idall(1) = c_nmmax
!
! DOUBLE CHECKING ARRAYS c_ie1,c_ie2,c_ia1,c_ia2
! **************************************
!
do i=1,c_nmmax
!
jjj = c_ia1(c_ie1(i)) + c_ia2(c_ie2(i))
if(jjj.ne.i) then
write(line,'(a48,i4)') 'ERROR IN c_daini IN ARRAYS c_ie1,c_ie2,c_ia1,c_ia2 AT I = ',i
ipause=mypauses(4,line)
call dadeb !(31,'ERR c_daini ',1)
endif
!
enddo
!
if(iunit.eq.0) return
!
write(line,'(a32)') 'ARRAY SETUP DONE, BEGIN PRINTING'
ipause=mypauses(5,line)
!
iout = 32
open(iout,file='c_daini.DAT',status='NEW')
!CRAY OPEN(IOUT,FILE='c_daini',STATUS='UNKNOWN',FORM='FORMATTED') *CRAY
!CRAY REWIND IOUT *CRAY
!
write(iout,'(/A/A/)') ' ARRAYS c_i_1 THROUGH c_i_20, c_ie1,c_ie2,c_ieo **********************************'
do i=1,c_nmmax
call dancd(c_ie1(i),c_ie2(i),jj)
write(iout,'(1X,I5,2X,4(5i2,1X),3I6)') i,(jj(jjjj),jjjj=1,c_lnv),c_ie1(i),c_ie2(i),c_ieo(i)
enddo
!
write(iout,'(/A/A/)') ' ARRAYS c_ia1,c_ia2 **************'
do i=0,icmax
write(iout,'(3i10)') i,c_ia1(i),c_ia2(i)
enddo
!
return
end subroutine c_daini
! subroutine daexter
! implicit none
! *****************************
!
!-----------------------------------------------------------------------------
! integer c_i_1,c_i_2,c_ia1,c_ia2,c_idall,c_idalm,c_idano,c_idanv,c_idapo,c_ie1,c_ie2,c_ieo,ifi,c_lfi,nda,c_ndamaxi,c_nmmax,c_nocut,c_nomax,nst,c_nvmax
!-----------------------------------------------------------------------------
!
! integer i
!
! if(.not.c_notallocated) then
! do i=1, c_lda
! c_allvec(i)=.false.
! enddo
! endif
! return
! end subroutine daexter
subroutine dalc_lsta(c_ldanow)
implicit none
! *****************************
!
!-----------------------------------------------------------------------------
!
integer i,c_ldanow
!
c_ldanow=0
do i=1, c_lda
if(c_allvec(i)) c_ldanow=c_ldanow+1
enddo
return
end subroutine dalc_lsta
!
! EXAMPLE: ARRAYS c_i_1 THROUGH c_i_20, c_ie1,c_ie2,c_ieo (c_nomax=3,c_nvmax=4)
! *************************************************************
! I c_i_1 THROUGH c_i_20 c_ie1 c_ie2 c_ieo
! 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
! 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1
! 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 1
! 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2
! 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 2
! 6 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 2
! 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3
! 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 3
! 9 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 3
! 10 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 3
! 11 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1
! 12 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2
! 13 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 4 1 2
! 14 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1 3
! 15 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 5 1 3
! 16 0 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 8 1 3
! 17 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 4 1
! 18 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 4 2
! 19 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4 4 2
! 20 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 4 3
! 21 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 5 4 3
! 22 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 8 4 3
! 23 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2
! 24 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 2 3
! 25 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 4 2 3
! 26 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 5 2
! 27 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 5 3
! 28 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 4 5 3
! 29 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 8 2
! 30 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 8 3
! 31 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 4 8 3
! 32 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3
! 33 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 6 3
! 34 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 9 3
! 35 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 12 3
!
! ARRAYS c_ia1,c_ia2
! **************
! I c_ia1 c_ia2
! 0 1 0 c_ie1,c_ie2 AND c_ia1,c_ia2 ALLOW THE EASY COMPUTATION
! 1 2 10 OF THE ADDRESS OF THE PRODUCT OF TWO MONOMIALS.
! 2 4 22 LET IX AND IY BE THE POSITIONS OF THE TWO
! 3 7 31 FACTORS. THEN THE POSITION IZ OF THE PRODUCT OF
! 4 3 16 THE TWO FACTORS IS GIVEN BY
! 5 5 25
! 6 8 32 IZ = c_ia1(c_ie1(IX)+c_ie1(IY)) + c_ia2(c_ie2(IX)+c_ie2(IY))
! 7 0 0
! 8 6 28
! 9 9 33 THE OTHER VARIABLES SET BY c_daini WOULD HAVE THE
! 10 0 0 VALUES
! 11 0 0
! 12 10 34 c_nomax = 3, c_nvmax = 4, c_nmmax = 35
!
subroutine daalc_lno1(ic,ccc)
implicit none
! ********************************
!
! THIS SUBROUTINE ALLOCATES STORAGE FOR A DA VECTOR WITH
! ORDER c_nomax AND NUMBER OF VARIABLES c_nvmax
!
!-----------------------------------------------------------------------------
!
logical(lp) incnda
integer ind,ndanum,no,nv,ic,ipause,mypauses
character(10) c,ccc
! if((.not.C_STABLE_DA)) then
! if(C_watch_user) then
! write(6,*) "big problem in dabnew ", sqrt(crash)
! endif
! return
! endif
!
no=c_nomax
nv=c_nvmax
ind = 1
if(ic.gt.0.and.ic.le.c_nda_dab) then
! c_daname(IC(I)) = C
! IF(c_idano(IC(I)).EQ.NO.AND.c_idanv(IC(I)).EQ.NV) THEN
else
if(nv.ne.0.and.(no.gt.c_nomax.or.nv.gt.c_nvmax)) then
write(line,'(a23,i4,a14,i4,1x,i4,a16,i4,1x,i4)') 'ERROR IN DAALL, VECTOR ',c,' HAS NO, NV = ',no,nv, &
&' c_nomax, c_nvmax = ',c_nomax,c_nvmax
ipause=mypauses(7,line)
call dadeb !(31,'ERR DAALL ',1)
endif
!
if(c_nhole.gt.0) then
ind=c_nda_dab
20 if (c_allvec(ind)) then
ind = ind - 1
goto 20
endif
incnda = .false.
c_nhole=c_nhole-1
else
incnda = .true.
c_nda_dab = c_nda_dab + 1
ind=c_nda_dab
if(c_nda_dab.gt.c_lda) then
write(line,'(a50)') 'ERROR IN DAALL, MAX NUMBER OF DA VECTORS EXHAUSTED'
ipause=mypauses(8,line)
call dadeb !(31,'ERR DAALL ',1)
endif
endif
if(ind>c_lda_max_used) c_lda_max_used=ind
if(ind>c_lda) then
write(6,*) "ind>c_lda ",c_lda,ind
print*, 'ERROR IN DAALc_lno1, MAX NUMBER OF DA VECTORS EXHAUSTED: c_lda = ',c_lda
stop
endif
c_allvec(ind) = .true.
ic = ind
!
if(nv.ne.0) then
call danum_c(no,nv,ndanum)
else
ndanum = no
endif
c = ccc
write(c(6:10),'(I5)') 1
c_daname(ind) = c
if (incnda) then
if(ind.gt.c_nomax+2) then
c_idano(ind) = c_nomax
c_idanv(ind) = c_nvmax
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = c_nmmax
c_idall(ind) = 0
c_nst0 = c_nst0 + c_nmmax
else
c_idano(ind) = no
c_idanv(ind) = nv
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = ndanum
c_idall(ind) = 0
c_nst0 = c_nst0 + ndanum
endif
endif
!
if(c_nst0.gt.c_lst) then
call dadeb !(31,'ERR DAALL ',1)
endif
!
if(nv.eq.0.or.c_nomax.eq.1) then
call daclr(ic)
c_idall(ic) = c_idalm(ic)
endif
endif
!
if(c_nda_dab.gt.c_ndamaxi) c_ndamaxi=c_nda_dab
return
end subroutine daalc_lno1
subroutine daall(ic,l,ccc,no,nv)
implicit none
! ********************************
!
! THIS SUBROUTINE ALLOCATES STORAGE FOR A DA VECTOR WITH
! ORDER NO AND NUMBER OF VARIABLES NV
!
!-----------------------------------------------------------------------------
!
logical(lp) incnda
integer i,ind,l,ndanum,no,nv,ipause,mypauses
integer,dimension(:)::ic
character(10) c,ccc
! if((.not.C_STABLE_DA)) then
! if(C_watch_user) then
! write(6,*) "big problem in dabnew ", sqrt(crash)
! endif
! return
! endif
!
ind = 1
do i=1,l
if(ic(i).gt.0.and.ic(i).le.c_nda_dab) then
! c_daname(IC(I)) = C
! IF(c_idano(IC(I)).EQ.NO.AND.c_idanv(IC(I)).EQ.NV) THEN
else
if(nv.ne.0.and.(no.gt.c_nomax.or.nv.gt.c_nvmax)) then
write(line,'(a23,i4,a14,i4,1x,i4,a16,i4,1x,i4)') 'ERROR IN DAALL, VECTOR ',c,' HAS NO, NV = ',no,nv, &
&' c_nomax, c_nvmax = ',c_nomax,c_nvmax
ipause=mypauses(9,line)
call dadeb !(31,'ERR DAALL ',1)
endif
!
if(c_nhole.gt.0) then
ind=c_nda_dab
20 if (c_allvec(ind)) then
ind = ind - 1
goto 20
endif
incnda = .false.
c_nhole=c_nhole-1
else
incnda = .true.
c_nda_dab = c_nda_dab + 1
ind=c_nda_dab
if(c_nda_dab.gt.c_lda) then
write(6,'(a50)') 'ERROR IN DAALL, MAX NUMBER OF DA VECTORS EXHAUSTED'
! ipause=mypauses(10,line)
call dadeb !(31,'ERR DAALL ',1)
stop 111
endif
endif
!write(30,*) no,ind,c_lda,size(c_allvec)
if(ind>c_lda_max_used) c_lda_max_used=ind
if(ind>c_lda) then
write(6,*) "ind>c_lda ",c_lda,ind
print*, 'ERROR IN DAALc_lno1, MAX NUMBER OF DA VECTORS EXHAUSTED: c_lda = ',c_lda
stop
endif
c_allvec(ind) = .true.
ic(i) = ind
!
if(nv.ne.0) then
call danum_c(no,nv,ndanum)
else
ndanum = no
endif
c = ccc
if(l.ne.1) write(c(6:10),'(I5)') i
c_daname(ind) = c
if (incnda) then
if(ind.gt.c_nomax+2) then
c_idano(ind) = c_nomax
c_idanv(ind) = c_nvmax
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = c_nmmax
c_idall(ind) = 0
c_nst0 = c_nst0 + c_nmmax
else
c_idano(ind) = no
c_idanv(ind) = nv
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = ndanum
c_idall(ind) = 0
c_nst0 = c_nst0 + ndanum
endif
endif
!
if(c_nst0.gt.c_lst) then
call dadeb !(31,'ERR DAALL ',1)
endif
!
! IF(NV.EQ.0) THEN
if(nv.eq.0.or.c_nomax.eq.1) then
call daclr(ic(i))
c_idall(ic(i)) = c_idalm(ic(i))
endif
endif
enddo
!
if(c_nda_dab.gt.c_ndamaxi) c_ndamaxi=c_nda_dab
return
end subroutine daall
subroutine daall1(ic,ccc,no,nv)
implicit none
! ********************************
!
! THIS SUBROUTINE ALLOCATES STORAGE FOR A DA VECTOR WITH
! ORDER NO AND NUMBER OF VARIABLES NV
!
!-----------------------------------------------------------------------------
!
logical(lp) incnda
integer ic,ind,ndanum,no,nv,ipause,mypauses
character(10) c,ccc
! if((.not.C_STABLE_DA)) then
! if(C_watch_user) then
! write(6,*) "big problem in dabnew ", sqrt(crash)
! endif
! return
! endif
!
ind = 1
if(ic.gt.0.and.ic.le.c_nda_dab) then
! c_daname(ic) = C
! IF(c_idano(ic).EQ.NO.AND.c_idanv(ic).EQ.NV) THEN
else
if(nv.ne.0.and.(no.gt.c_nomax.or.nv.gt.c_nvmax)) then
write(line,'(a23,i4,a14,i4,1x,i4,a16,i4,1x,i4)') 'ERROR IN DAALL, VECTOR ',c,' HAS NO, NV = ',no,nv, &
&' c_nomax, c_nvmax = ',c_nomax,c_nvmax
ipause=mypauses(11,line)
call dadeb !(31,'ERR DAALL ',1)
endif
!
if(c_nhole.gt.0) then
ind=c_nda_dab
20 if (c_allvec(ind)) then
ind = ind - 1
goto 20
endif
incnda = .false.
c_nhole=c_nhole-1
else
incnda = .true.
c_nda_dab = c_nda_dab + 1
ind=c_nda_dab
if(c_nda_dab.gt.c_lda) then
write(line,'(a50)') 'ERROR IN DAALL, MAX NUMBER OF DA VECTORS EXHAUSTED'
ipause=mypauses(12,line)
call dadeb !(31,'ERR DAALL ',1)
endif
endif
if(ind>c_lda_max_used) c_lda_max_used=ind
if(ind>c_lda) then
write(6,*) "ind>c_lda ",c_lda,ind
print*, 'ERROR IN DAALc_lno1, MAX NUMBER OF DA VECTORS EXHAUSTED: c_lda = ',c_lda
stop
endif
c_allvec(ind) = .true.
ic = ind
!
if(nv.ne.0) then
call danum_c(no,nv,ndanum)
else
ndanum = no
endif
c = ccc
write(c(6:10),'(I5)') 1
c_daname(ind) = c
if (incnda) then
if(ind.gt.c_nomax+2) then
c_idano(ind) = c_nomax
c_idanv(ind) = c_nvmax
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = c_nmmax
c_idall(ind) = 0
c_nst0 = c_nst0 + c_nmmax
else
c_idano(ind) = no
c_idanv(ind) = nv
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = ndanum
c_idall(ind) = 0
c_nst0 = c_nst0 + ndanum
endif
endif
!
if(c_nst0.gt.c_lst) then
call dadeb !(31,'ERR DAALL ',1)
endif
!
! IF(NV.EQ.0) THEN
if(nv.eq.0.or.c_nomax.eq.1) then
call daclr(ic)
c_idall(ic) = c_idalm(ic)
endif
endif
!
if(c_nda_dab.gt.c_ndamaxi) c_ndamaxi=c_nda_dab
return
end subroutine daall1
subroutine c_etall1(ic)
implicit none
integer ic
ic=0
call c_daall0(ic)
end subroutine c_etall1
subroutine c_daall0(ic)
implicit none
! ********************************
!
! THIS SUBROUTINE ALLOCATES STORAGE FOR A DA VECTOR WITH
! ORDER NO AND NUMBER OF VARIABLES NV
!
!-----------------------------------------------------------------------------
!
logical(lp) incnda
integer ic,ind,ndanum,no,nv,ipause,mypauses
character(10) c,ccc
ccc=' '
no=c_nomax
nv=c_nvmax
! if((.not.C_STABLE_DA)) then
! if(C_watch_user) then
! write(6,*) "big problem in dabnew ", sqrt(crash)
! endif
! return
! endif
!
ind = 1
if(ic.gt.0.and.ic.le.c_nda_dab) then
! c_daname(ic) = C
! IF(c_idano(ic).EQ.NO.AND.c_idanv(ic).EQ.NV) THEN
else
if(nv.ne.0.and.(no.gt.c_nomax.or.nv.gt.c_nvmax)) then
write(line,'(a23,i4,a14,i4,1x,i4,a16,i4,1x,i4)') 'ERROR IN DAALL, VECTOR ',c,' HAS NO, NV = ',no,nv, &
&' c_nomax, c_nvmax = ',c_nomax,c_nvmax
ipause=mypauses(11,line)
call dadeb !(31,'ERR DAALL ',1)
endif
!
if(c_nhole.gt.0) then
ind=c_nda_dab
20 if (c_allvec(ind)) then
ind = ind - 1
goto 20
endif
incnda = .false.
c_nhole=c_nhole-1
else
incnda = .true.
c_nda_dab = c_nda_dab + 1
ind=c_nda_dab
if(c_nda_dab.gt.c_lda) then
write(6,'(a50)') 'ERROR IN DAALL, MAX NUMBER OF DA VECTORS EXHAUSTED'
write(6,*) c_nda_dab,c_lda
call dadeb !(31,'ERR DAALL ',1)
endif
endif
if(ind>c_lda_max_used) c_lda_max_used=ind
if(ind>c_lda) then
write(6,*) "ind>c_lda ",c_lda,ind
print*, 'ERROR IN DAALc_lno1, MAX NUMBER OF DA VECTORS EXHAUSTED: c_lda = ',c_lda
stop
endif
c_allvec(ind) = .true.
ic = ind
!
if(nv.ne.0) then
call danum_c(no,nv,ndanum)
else
ndanum = no
endif
c = ccc
write(c(6:10),'(I5)') 1
c_daname(ind) = c
if (incnda) then
if(ind.gt.c_nomax+2) then
c_idano(ind) = c_nomax
c_idanv(ind) = c_nvmax
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = c_nmmax
c_idall(ind) = 0
c_nst0 = c_nst0 + c_nmmax
else
c_idano(ind) = no
c_idanv(ind) = nv
c_idapo(ind) = c_nst0 + 1
c_idalm(ind) = ndanum
c_idall(ind) = 0
c_nst0 = c_nst0 + ndanum
endif
endif
!
if(c_nst0.gt.c_lst) then
call dadeb !(31,'ERR DAALL ',1)
endif
!
! IF(NV.EQ.0) THEN
if(nv.eq.0.or.c_nomax.eq.1) then
call daclr(ic)
c_idall(ic) = c_idalm(ic)
endif
endif
!
if(c_nda_dab.gt.c_ndamaxi) c_ndamaxi=c_nda_dab
return
end subroutine c_daall0
!
subroutine dadal(idal,l)
implicit none
! ************************
!
! THIS SUBROUTINE DEALLOCATES THE VECTORS IDAL
!
!-----------------------------------------------------------------------------
!
integer i,l,ipause,mypauses
integer,dimension(:)::idal
!
! if((.not.C_STABLE_DA)) then
! if(C_watch_user) then
! write(6,*) "big problem in dabnew ", sqrt(crash)
! endif
! return
! endif
do i=l,1,-1
if(idal(i).le.c_nomax+2.or.idal(i).gt.c_nda_dab) then
write(line,'(a38,i8,1x,i8)') 'ERROR IN ROUTINE DADAL, IDAL(I),NDA = ',idal(i),c_nda_dab
!ipause=mypauses(13,line)
C_%STABLE_DA = .false.
l = 1
return
call dadeb !(31,'ERR DADAL ',1)
endif
if(idal(i).eq.c_nda_dab) then
! deallocate
c_nst0 = c_idapo(c_nda_dab) - 1
c_nda_dab = c_nda_dab - 1
else
c_nhole=c_nhole+1
endif
c_allvec(idal(i)) = .false.
! c_idano(IDAL(I)) = 0
! c_idanv(IDAL(I)) = 0
! c_idapo(IDAL(I)) = 0
! c_idalm(IDAL(I)) = 0
c_idall(idal(i)) = 0
idal(i) = 0
enddo
return
end subroutine dadal
subroutine c_dadal1(idal)
implicit none
! ************************
!