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subroutine gehrd(min_lwork,max_lwork,prefix,n,lo,hi)
integer min_lwork,max_lwork,n,lo,hi
character prefix
c
c Returned maxwrk is acctually optimal lwork.
c
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: n
cf2py integer optional,intent(in),depend(n) :: lo=0, hi=n-1
INTEGER NB
EXTERNAL ILAENV
INTRINSIC MIN
NB = MIN( 64, ILAENV( 1, prefix // 'GEHRD', ' ', n, lo, hi, -1 ) )
max_lwork = n * NB
min_lwork = MIN(max_lwork,MAX(1,n))
end
subroutine gesdd(min_lwork,max_lwork,prefix,m,n,compute_uv)
integer min_lwork,max_lwork,m,n,compute_uv
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&m,&n,&compute_uv)
cf2py callprotoargument int*,int*,char*,int*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: m,n
cf2py integer optional,intent(in):: compute_uv=1
INTEGER MINMN, MNTHR, MINWRK, MAXWRK, SMLSIZ, BDSPAC, BDSPAN
INTEGER ILAENV, WRKBL
EXTERNAL ILAENV
INTRINSIC INT, MAX, MIN
MINMN = MIN( M, N )
MNTHR = INT( MINMN*11.0D0 / 6.0D0 )
MINWRK = 1
MAXWRK = 1
SMLSIZ = ILAENV( 9, prefix // 'GESDD', ' ', 0, 0, 0, 0 )
IF( M.GE.N ) THEN
*
* Compute space needed for DBDSDC
*
BDSPAC = 3*N*N + 7*N
BDSPAN = MAX( 12*N+4, 8*N+2+SMLSIZ*( SMLSIZ+8 ) )
IF( M.GE.MNTHR ) THEN
IF (compute_uv.eq.0) THEN
*
* Path 1 (M much larger than N, JOBZ='N')
*
MAXWRK = N + N*ILAENV( 1, prefix // 'GEQRF', ' ',
$ M, N, -1,
$ -1 )
MAXWRK = MAX( MAXWRK, 3*N+2*N*
$ ILAENV( 1, prefix // 'GEBRD', ' ',
$ N, N, -1, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC )
MINWRK = BDSPAC
ELSE
*
* Path 4 (M much larger than N, JOBZ='A')
*
WRKBL = N + N*ILAENV( 1, prefix // 'GEQRF', ' ',
$ M, N, -1, -1 )
WRKBL = MAX( WRKBL, N+M*ILAENV( 1, prefix // 'ORGQR',
$ ' ', M,
$ M, N, -1 ) )
WRKBL = MAX( WRKBL, 3*N+2*N*
$ ILAENV( 1, prefix // 'GEBRD', ' ',
$ N, N, -1, -1 ) )
WRKBL = MAX( WRKBL, 3*N+N*
$ ILAENV( 1, prefix // 'ORMBR', 'QLN',
$ N, N, N, -1 ) )
WRKBL = MAX( WRKBL, 3*N+N*
$ ILAENV( 1, prefix // 'ORMBR', 'PRT',
$ N, N, N, -1 ) )
WRKBL = MAX( WRKBL, BDSPAC+2*N )
MAXWRK = N*N + WRKBL
MINWRK = BDSPAC + N*N + M + N
ENDIF
ELSE
*
* Path 5 (M at least N, but not much larger)
*
WRKBL = 3*N + ( M+N )*ILAENV( 1, prefix // 'GEBRD', ' ',
$ M, N, -1, -1)
IF (compute_uv.eq.0) THEN
MAXWRK = MAX(WRKBL,BDSPAC + 3*N)
MINWRK = 3*N + MAX(M,BDSPAC)
ELSE
MAXWRK = MAX( MAXWRK, 3*N+M*
$ ILAENV( 1, prefix // 'ORMBR', 'QLN',
$ M, M, N, -1 ) )
MAXWRK = MAX( MAXWRK, 3*N+N*
$ ILAENV( 1, prefix // 'ORMBR', 'PRT',
$ N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC+2*N+M )
MINWRK = BDSPAC + 2*N + M
ENDIF
ENDIF
ELSE
*
* Compute space needed for DBDSDC
*
BDSPAC = 3*M*M + 7*M
BDSPAN = MAX( 12*M+4, 8*M+2+SMLSIZ*( SMLSIZ+8 ) )
IF( N.GE.MNTHR ) THEN
IF( compute_uv.eq.0 ) THEN
*
* Path 1t (N much larger than M, JOBZ='N')
*
MAXWRK = M + M*ILAENV( 1, prefix // 'GELQF', ' ',
$ M, N, -1,
$ -1 )
MAXWRK = MAX( MAXWRK, 3*M+2*M*
$ ILAENV( 1, prefix // 'GEBRD', ' ',
$ M, M, -1, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC )
MINWRK = BDSPAC
ELSE
*
* Path 4t (N much larger than M, JOBZ='A')
*
WRKBL = M + M*ILAENV( 1, prefix // 'GELQF', ' ',
$ M, N, -1, -1 )
WRKBL = MAX( WRKBL, M+N*ILAENV( 1, prefix // 'ORGLQ',
$ ' ', N,
$ N, M, -1 ) )
WRKBL = MAX( WRKBL, 3*M+2*M*
$ ILAENV( 1, prefix // 'GEBRD', ' ',
$ M, M, -1, -1 ) )
WRKBL = MAX( WRKBL, 3*M+M*
$ ILAENV( 1, prefix // 'ORMBR', 'QLN',
$ M, M, M, -1 ) )
WRKBL = MAX( WRKBL, 3*M+M*
$ ILAENV( 1, prefix // 'ORMBR', 'PRT',
$ M, M, M, -1 ) )
WRKBL = MAX( WRKBL, BDSPAC+2*M )
MAXWRK = WRKBL + M*M
MINWRK = BDSPAC + M*M + M + N
ENDIF
ELSE
WRKBL = 3*M + ( M+N )*ILAENV( 1, prefix // 'GEBRD', ' ',
$ M, N, -1,
$ -1 )
IF (compute_uv.eq.0) THEN
MAXWRK = MAX(WRKBL,BDSPAC + 3*M)
MINWRK = 3*M + MAX(N,BDSPAC)
ELSE
MAXWRK = MAX( MAXWRK, 3*M+M*
$ ILAENV( 1, prefix // 'ORMBR', 'QLN',
$ M, M, N, -1 ) )
MAXWRK = MAX( MAXWRK, 3*M+N*
$ ILAENV( 1, prefix // 'ORMBR', 'PRT',
$ N, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC+2*M )
MINWRK = BDSPAC + 2*M + N
ENDIF
ENDIF
ENDIF
min_lwork = MINWRK
max_lwork = MAX(MINWRK,MAXWRK)
end
subroutine gelss(min_lwork,max_lwork,prefix,m,n,nrhs)
integer min_lwork,max_lwork,m,n,nrhs
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&m,&n,&nrhs)
cf2py callprotoargument int*,int*,char*,int*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: m,n,nrhs
INTEGER MAXWRK, MINMN, MINWRK, MM, MNTHR
INTEGER ILAENV, BDSPAC, MAXMN
EXTERNAL ILAENV
INTRINSIC MAX, MIN
MINMN = MIN( M, N )
MAXMN = MAX( M, N )
MNTHR = ILAENV( 6, prefix // 'GELSS', ' ', M, N, NRHS, -1 )
MINWRK = 1
MAXWRK = 0
MM = M
IF( M.GE.N .AND. M.GE.MNTHR ) THEN
*
* Path 1a - overdetermined, with many more rows than columns
*
MM = N
MAXWRK = MAX( MAXWRK, N+N*ILAENV( 1, prefix // 'GEQRF', ' ',
$ M, N, -1, -1 ) )
MAXWRK = MAX( MAXWRK, N+NRHS*
$ ILAENV( 1, prefix // 'ORMQR', 'LT', M, NRHS, N, -1 ) )
END IF
IF( M.GE.N ) THEN
*
* Path 1 - overdetermined or exactly determined
*
* Compute workspace neede for BDSQR
*
BDSPAC = MAX( 1, 5*N )
MAXWRK = MAX( MAXWRK, 3*N+( MM+N )*
$ ILAENV( 1, prefix // 'GEBRD', ' ', MM, N, -1, -1 ) )
MAXWRK = MAX( MAXWRK, 3*N+NRHS*
$ ILAENV( 1, prefix // 'ORMBR', 'QLT', MM, NRHS, N, -1 ) )
MAXWRK = MAX( MAXWRK, 3*N+( N-1 )*
$ ILAENV( 1, prefix // 'ORGBR', 'P', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC )
MAXWRK = MAX( MAXWRK, N*NRHS )
MINWRK = MAX( 3*N+MM, 3*N+NRHS, BDSPAC )
MAXWRK = MAX( MINWRK, MAXWRK )
END IF
IF( N.GT.M ) THEN
*
* Compute workspace neede for DBDSQR
*
BDSPAC = MAX( 1, 5*M )
MINWRK = MAX( 3*M+NRHS, 3*M+N, BDSPAC )
IF( N.GE.MNTHR ) THEN
*
* Path 2a - underdetermined, with many more columns
* than rows
*
MAXWRK = M + M*ILAENV( 1, prefix // 'GELQF', ' ',
$ M, N, -1, -1 )
MAXWRK = MAX( MAXWRK, M*M+4*M+2*M*
$ ILAENV( 1, prefix // 'GEBRD', ' ', M, M, -1, -1 ) )
MAXWRK = MAX( MAXWRK, M*M+4*M+NRHS*
$ ILAENV( 1, prefix // 'ORMBR', 'QLT', M, NRHS, M, -1 ))
MAXWRK = MAX( MAXWRK, M*M+4*M+( M-1 )*
$ ILAENV( 1, prefix // 'ORGBR', 'P', M, M, M, -1 ) )
MAXWRK = MAX( MAXWRK, M*M+M+BDSPAC )
IF( NRHS.GT.1 ) THEN
MAXWRK = MAX( MAXWRK, M*M+M+M*NRHS )
ELSE
MAXWRK = MAX( MAXWRK, M*M+2*M )
END IF
MAXWRK = MAX( MAXWRK, M+NRHS*
$ ILAENV( 1, prefix // 'ORMLQ', 'LT', N, NRHS, M, -1 ) )
ELSE
*
* Path 2 - underdetermined
*
MAXWRK = 3*M + ( N+M )*ILAENV( 1, prefix // 'GEBRD', ' ',
$ M, N, -1, -1 )
MAXWRK = MAX( MAXWRK, 3*M+NRHS*
$ ILAENV( 1, prefix // 'ORMBR', 'QLT', M, NRHS, M, -1 ) )
MAXWRK = MAX( MAXWRK, 3*M+M*
$ ILAENV( 1, prefix // 'ORGBR', 'P', M, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, BDSPAC )
MAXWRK = MAX( MAXWRK, N*NRHS )
END IF
END IF
MAXWRK = MAX( MINWRK, MAXWRK )
MINWRK = MAX( MINWRK, 1 )
min_lwork = MINWRK
max_lwork = MAXWRK
end
subroutine getri(min_lwork,max_lwork,prefix,n)
integer min_lwork,max_lwork,n
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&n)
cf2py callprotoargument int*,int*,char*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: n
INTEGER ILAENV, NB
EXTERNAL ILAENV
NB = ILAENV( 1, prefix // 'GETRI', ' ', N, -1, -1, -1 )
min_lwork = N
max_lwork = N*NB
end
subroutine geev(min_lwork,max_lwork,prefix,n,
$ compute_vl,compute_vr)
integer min_lwork,max_lwork,n,compute_vl,compute_vr
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&n,&compute_vl,&compute_vr)
cf2py callprotoargument int*,int*,char*,int*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py integer optional,intent(in) :: compute_vl = 1,compute_vr = 1
cf2py intent(in) :: prefix
cf2py intent(in) :: n
LOGICAL WANTVL, WANTVR
INTEGER ILAENV, MINWRK, MAXWRK, MAXB, HSWORK, K
EXTERNAL ILAENV
INTRINSIC MAX, MIN
WANTVL = compute_vl.eq.1
WANTVR = compute_vr.eq.1
MINWRK = 1
MAXWRK = 2*N + N*ILAENV( 1, prefix // 'GEHRD', ' ', N, 1, N, 0 )
IF( ( .NOT.WANTVL ) .AND. ( .NOT.WANTVR ) ) THEN
MINWRK = MAX( 1, 3*N )
MAXB = MAX( ILAENV( 8, prefix // 'HSEQR', 'EN', N, 1, N, -1 )
$ , 2 )
K = MIN( MAXB, N, MAX( 2, ILAENV( 4, prefix // 'HSEQR', 'EN', N
$ , 1, N, -1 ) ) )
HSWORK = MAX( K*( K+2 ), 2*N )
MAXWRK = MAX( MAXWRK, N+1, N+HSWORK )
ELSE
MINWRK = MAX( 1, 4*N )
MAXWRK = MAX( MAXWRK, 2*N+( N-1 )*
$ ILAENV( 1, prefix // 'ORGHR', ' ', N, 1, N, -1 ) )
MAXB = MAX( ILAENV( 8, prefix // 'HSEQR', 'SV', N, 1, N, -1 ),
$ 2 )
K = MIN( MAXB, N, MAX( 2, ILAENV( 4, prefix // 'HSEQR', 'SV', N
$ , 1, N, -1 ) ) )
HSWORK = MAX( K*( K+2 ), 2*N )
MAXWRK = MAX( MAXWRK, N+1, N+HSWORK )
MAXWRK = MAX( MAXWRK, 4*N )
END IF
min_lwork = MINWRK
max_lwork = MAXWRK
end
subroutine heev(min_lwork,max_lwork,prefix,n,lower)
integer min_lwork,max_lwork,n,lower
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&n,&lower)
cf2py callprotoargument int*,int*,char*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py integer optional,intent(in) :: lower = 0
cf2py intent(in) :: prefix
cf2py intent(in) :: n
CHARACTER UPLO
INTEGER ILAENV, NB
EXTERNAL ILAENV
INTRINSIC MAX
UPLO = 'L'
if (lower.eq.0) then
UPLO = 'U'
endif
NB = ILAENV( 1, prefix // 'HETRD', UPLO, N, -1, -1, -1 )
min_lwork = MAX(1,2*N-1)
max_lwork = MAX( 1, ( NB+1 )*N )
end
subroutine syev(min_lwork,max_lwork,prefix,n,lower)
integer min_lwork,max_lwork,n,lower
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&n,&lower)
cf2py callprotoargument int*,int*,char*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py integer optional,intent(in) :: lower = 0
cf2py intent(in) :: prefix
cf2py intent(in) :: n
CHARACTER UPLO
INTEGER ILAENV, NB
EXTERNAL ILAENV
INTRINSIC MAX
UPLO = 'L'
if (lower.eq.0) then
UPLO = 'U'
end if
NB = ILAENV( 1, prefix // 'SYTRD', UPLO, N, -1, -1, -1 )
min_lwork = MAX(1,3*N-1)
max_lwork = MAX( 1, ( NB+2 )*N )
end
subroutine gees(min_lwork,max_lwork,prefix,n,compute_v)
integer min_lwork,max_lwork,n,compute_v
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&n,&compute_v)
cf2py callprotoargument int*,int*,char*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py integer optional,intent(in) :: compute_v = 1
cf2py intent(in) :: prefix
cf2py intent(in) :: n
INTEGER HSWORK, MAXWRK, MINWRK, MAXB, K
INTEGER ILAENV
EXTERNAL ILAENV
INTRINSIC MAX, MIN
MAXWRK = N + N*ILAENV( 1, prefix // 'GEHRD', ' ', N, 1, N, 0 )
MINWRK = MAX( 1, 2*N )
IF( compute_v.eq.0 ) THEN
MAXB = MAX( ILAENV( 8, prefix // 'HSEQR',
$ 'SN', N, 1, N, -1 ), 2 )
K = MIN( MAXB, N, MAX( 2, ILAENV( 4, prefix // 'HSEQR',
$ 'SN', N, 1, N, -1 ) ) )
HSWORK = MAX( K*( K+2 ), 2*N )
MAXWRK = MAX( MAXWRK, HSWORK, 1 )
ELSE
MAXWRK = MAX( MAXWRK, N+( N-1 )*
$ ILAENV( 1, prefix // 'UNGHR', ' ', N, 1, N, -1 ) )
MAXB = MAX( ILAENV( 8, prefix // 'HSEQR',
$ 'EN', N, 1, N, -1 ), 2 )
K = MIN( MAXB, N, MAX( 2, ILAENV( 4, prefix // 'HSEQR',
$ 'EN', N, 1, N, -1 ) ) )
HSWORK = MAX( K*( K+2 ), 2*N )
MAXWRK = MAX( MAXWRK, HSWORK, 1 )
END IF
min_lwork = MINWRK
max_lwork = MAXWRK
end
subroutine geqrf(min_lwork,max_lwork,prefix,m,n)
integer min_lwork,max_lwork,m,n
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&m,&n)
cf2py callprotoargument int*,int*,char*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: m,n
INTEGER NB
INTEGER ILAENV
EXTERNAL ILAENV
INTRINSIC MAX
NB = ILAENV( 1, prefix // 'GEQRF', ' ', M, N, -1, -1 )
min_lwork = MAX(1,N)
max_lwork = MAX(1,N*NB)
end
subroutine gqr(min_lwork,max_lwork,prefix,m,n)
integer min_lwork,max_lwork,m,n
character prefix
cf2py callstatement (*f2py_func)(&min_lwork,&max_lwork,prefix,&m,&n)
cf2py callprotoargument int*,int*,char*,int*,int*
cf2py intent(out,out=minwrk) :: min_lwork
cf2py intent(out,out=maxwrk) :: max_lwork
cf2py intent(in) :: prefix
cf2py intent(in) :: m,n
INTEGER NB
INTEGER ILAENV
EXTERNAL ILAENV
INTRINSIC MAX
if ((prefix.eq.'d').or.(prefix.eq.'s')
$ .or.(prefix.eq.'D').or.(prefix.eq.'S')) then
NB = ILAENV( 1, prefix // 'ORGQR', ' ', M, N, -1, -1 )
else
NB = ILAENV( 1, prefix // 'UNGQR', ' ', M, N, -1, -1 )
endif
min_lwork = MAX(1,N)
max_lwork = MAX(1,N*NB)
end
|
