/home/abui.../cdrvrfp.f(3)

💅 cdrvrfp.f — Library Functions Manual 💅

okay so this is the LAPACK test-routine manual page, and it’s giving full-format symmetry realness. Stay with me, bestie — every flag, array, and test ratio is still here. 🫶

📛 NAME 📛

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cdrvrfp.f

🧩 SYNOPSIS 🧩

🛠️ Functions/Subroutines 🛠️

subroutine CDRVRFP (nout, nn, nval, nns, nsval, nnt, ntval, thresh, a,
    asav, afac, ainv, b, bsav, xact, x, arf, arfinv, c_work_clatms,
    c_work_cpot02, c_work_cpot03, s_work_clatms, s_work_clanhe,
    s_work_cpot01, s_work_cpot02, s_work_cpot03)
    CDRVRFP

CDRVRFP

🧪 Function/Subroutine Documentation 🧪

Here’s the full signature, no cap — every argument exactly where it belongs:

subroutine CDRVRFP (integer nout, integer nn, integer, dimension( nn ) nval,
     integer nns, integer, dimension( nns ) nsval, integer nnt, integer,
     dimension( nnt ) ntval, real thresh, complex, dimension( * ) a, complex,
     dimension( * ) asav, complex, dimension( * ) afac, complex, dimension( *
     ) ainv, complex, dimension( * ) b, complex, dimension( * ) bsav,
     complex, dimension( * ) xact, complex, dimension( * ) x, complex,
     dimension( * ) arf, complex, dimension( * ) arfinv, complex, dimension(
     * ) c_work_clatms, complex, dimension( * ) c_work_cpot02, complex,
     dimension( * ) c_work_cpot03, real, dimension( * ) s_work_clatms, real,
     dimension( * ) s_work_clanhe, real, dimension( * ) s_work_cpot01, real,
     dimension( * ) s_work_cpot02, real, dimension( * ) s_work_cpot03)
     CDRVRFP

CDRVRFP

🎯 Purpose 🎯

okay so CDRVRFP is out here testing the LAPACK RFP routines: CPFTRF, CPFTRS, and CPFTRI. Periodt. 💅

This testing routine follows the same tests as CDRVPO (the 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.

🧾 Parameters 🧾

• 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 ).

👑 Author 👑

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 238 of file cdrvrfp.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

---

💖 that’s the whole page, bestie! LAPACK Version 3.12.0, source /home/abui.../cdrvrfp.f(3). Stay iconic and may your RESULT stay under THRESH. 💅✨