cdrvrfp3

!>
!> CDRVRFP tests the LAPACK RFP routines:
!>     CPFTRF, CPFTRS, and CPFTRI.
!>
!> This testing routine follow the same tests as CDRVPO (test for the full
!> format Symmetric Positive Definite solver).
!>
!> The tests are performed in Full Format, conversion back and forth from
!> full format to RFP format are performed using the routines CTRTTF and
!> CTFTTR.
!>
!> First, a specific matrix A of size N is created. There is nine types of
!> different matrixes possible.
!>  1. Diagonal                        6. Random, CNDNUM = sqrt(0.1/EPS)
!>  2. Random, CNDNUM = 2              7. Random, CNDNUM = 0.1/EPS
!> *3. First row and column zero       8. Scaled near underflow
!> *4. Last row and column zero        9. Scaled near overflow
!> *5. Middle row and column zero
!> (* - tests error exits from CPFTRF, no test ratios are computed)
!> A solution XACT of size N-by-NRHS is created and the associated right
!> hand side B as well. Then CPFTRF is called to compute L (or U), the
!> Cholesky factor of A. Then L (or U) is used to solve the linear system
!> of equations AX = B. This gives X. Then L (or U) is used to compute the
!> inverse of A, AINV. The following four tests are then performed:
!> (1) norm( L*L' - A ) / ( N * norm(A) * EPS ) or
!>     norm( U'*U - A ) / ( N * norm(A) * EPS ),
!> (2) norm(B - A*X) / ( norm(A) * norm(X) * EPS ),
!> (3) norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),
!> (4) ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ),
!> where EPS is the machine precision, RCOND the condition number of A, and
!> norm( . ) the 1-norm for (1,2,3) and the inf-norm for (4).
!> Errors occur when INFO parameter is not as expected. Failures occur when
!> a test ratios is greater than THRES.
!> 

NOUT

!>          NOUT is INTEGER
!>                The unit number for output.
!> 

NN

!>          NN is INTEGER
!>                The number of values of N contained in the vector NVAL.
!> 

NVAL

!>          NVAL is INTEGER array, dimension (NN)
!>                The values of the matrix dimension N.
!> 

NNS

!>          NNS is INTEGER
!>                The number of values of NRHS contained in the vector NSVAL.
!> 

NSVAL

!>          NSVAL is INTEGER array, dimension (NNS)
!>                The values of the number of right-hand sides NRHS.
!> 

NNT

!>          NNT is INTEGER
!>                The number of values of MATRIX TYPE contained in the vector NTVAL.
!> 

NTVAL

!>          NTVAL is INTEGER array, dimension (NNT)
!>                The values of matrix type (between 0 and 9 for PO/PP/PF matrices).
!> 

THRESH

!>          THRESH is REAL
!>                The threshold value for the test ratios.  A result is
!>                included in the output file if RESULT >= THRESH.  To have
!>                every test ratio printed, use THRESH = 0.
!> 

A

!>          A is COMPLEX array, dimension (NMAX*NMAX)
!> 

ASAV

!>          ASAV is COMPLEX array, dimension (NMAX*NMAX)
!> 

AFAC

!>          AFAC is COMPLEX array, dimension (NMAX*NMAX)
!> 

AINV

!>          AINV is COMPLEX array, dimension (NMAX*NMAX)
!> 

B

!>          B is COMPLEX array, dimension (NMAX*MAXRHS)
!> 

BSAV

!>          BSAV is COMPLEX array, dimension (NMAX*MAXRHS)
!> 

XACT

!>          XACT is COMPLEX array, dimension (NMAX*MAXRHS)
!> 

X

!>          X is COMPLEX array, dimension (NMAX*MAXRHS)
!> 

ARF

!>          ARF is COMPLEX array, dimension ((NMAX*(NMAX+1))/2)
!> 

ARFINV

!>          ARFINV is COMPLEX array, dimension ((NMAX*(NMAX+1))/2)
!> 

C_WORK_CLATMS

!>          C_WORK_CLATMS is COMPLEX array, dimension ( 3*NMAX )
!> 

C_WORK_CPOT02

!>          C_WORK_CPOT02 is COMPLEX array, dimension ( NMAX*MAXRHS )
!> 

C_WORK_CPOT03

!>          C_WORK_CPOT03 is COMPLEX array, dimension ( NMAX*NMAX )
!> 

S_WORK_CLATMS

!>          S_WORK_CLATMS is REAL array, dimension ( NMAX )
!> 

S_WORK_CLANHE

!>          S_WORK_CLANHE is REAL array, dimension ( NMAX )
!> 

S_WORK_CPOT01

!>          S_WORK_CPOT01 is REAL array, dimension ( NMAX )
!> 

S_WORK_CPOT02

!>          S_WORK_CPOT02 is REAL array, dimension ( NMAX )
!> 

S_WORK_CPOT03

!>          S_WORK_CPOT03 is REAL array, dimension ( NMAX )
!> 

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