This a draft for dgecxx.f.#1161
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mgates3
requested changes
Oct 15, 2025
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by mistake 2 branches (one with dgecx.f and one with DGECX.f ) were joined
in a single pull request, the files are identical. DGECX.f can be removed.
…On Wed, Oct 15, 2025 at 11:15 AM Mark Gates ***@***.***> wrote:
***@***.**** requested changes on this pull request.
Some initial comments.
------------------------------
On SRC/DGECX.f
<#1161 (comment)>
:
There is both DGECX.f (incorrect) and dgecx.f (correct) file? This file
should be removed.
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +*> array as the first K elements.
+*> b) If the flag COMP_X is set, then the routine also explicitly
+*> computes and returns the factor X = pseudoinv(C) * A.
+*>
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] FACT
+*> \verbatim
+*> FACT is CHARACTER*1
+*> Specifies how the factors of CX factorization
+*> are returned.
+*>
+*> = 'P' or 'p' : return only the column permutaion matrix P
Pedantic: LAPACK doesn't normally specify both Uppercase and lowercase.
Cf.:
lapack/SRC> grep "^\*> += '\w'" lapack/SRC/zpotrf.f
*> = 'U': Upper triangle of A is stored;
*> = 'L': Lower triangle of A is stored.
lapack/SRC> grep "^\*> += '\w'" lapack/SRC/*.f`
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +*>
+*> If LWORK = -1, then a workspace query is assumed; the routine
+*> only calculates the optimal size of the WORK array, returns
+*> this value as the first entry of the WORK array, and no error
+*> message related to LWORK is issued by XERBLA.
+*> \endverbatim
+*>
+*> \param[out] IWORK
+*> \verbatim
+*> IWORK is INTEGER array, dimension (N).
+*> Is a work array. ( IWORK is used by DGEQP3RK to store indices
+*> of "bad" columns for norm downdating in the residual
+*> matrix in the blocked step auxiliary subroutine DLAQP3RK ).
+*> \endverbatim
+*>
+*> \param[out] LIWORK
Input, right? \param[in]
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +*>
+*> \param[out] IWORK
+*> \verbatim
+*> IWORK is INTEGER array, dimension (N).
+*> Is a work array. ( IWORK is used by DGEQP3RK to store indices
+*> of "bad" columns for norm downdating in the residual
+*> matrix in the blocked step auxiliary subroutine DLAQP3RK ).
+*> \endverbatim
+*>
+*> \param[out] LIWORK
+*> \verbatim
+*> LIWORK is INTEGER
+*> The dimension of the array LIWORK. LIWORK >= N
+*>
+*> If LIWORK = -1, then a workspace query is assumed; the routine
+*> only calculates the optimal size of the WORK array, returns
Typo: IWORK array.
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +* Copy matrix C into work array WORK.
+*
+ CALL DLACPY( 'F', M, K, C, LDC, WORK, M )
+*
+ CALL DGELS( 'N', M, K, N, WORK, M, X, LDX,
+ $ WORK( M*K+1 ), LWORK,
+ $ IINFO )
+ INFO = IINFO
+*
+ END IF
+*
+ WORK( 1 ) = DBLE( LWKOPT )
+*
+* DGECX
+*
+ END
Files should end with a newline. Notice ⊖ on Github.
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +* code.
+*
+ IF( INFO.EQ.0 ) THEN
+ MINMN = MIN( M, N )
+ IF( MINMN.EQ.0 ) THEN
+ LWKMIN = 1
+ LWKOPT = 1
+ ELSE
+ LWKMIN = 3*N + 1
+*
+* Assign to NBOPT optimal block size.
+*
+ NBOPT = ILAENV( INB, 'DGEQRF', ' ', M, N, -1, -1 )
+ LWKOPT = 1000
+ END IF
+ WORK( 1 ) = DBLE( LWKOPT )
Add:
LWORK( 1 ) = N
or whatever the formula is. Also elsewhere.
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +* that uses QR factorization. For that purpose, we store C into
+* WORK array WORK(1:M*K), and the matrix A was copied into
+* the array X at the begining of the routine.
+*
+* Copy matrix C into work array WORK.
+*
+ CALL DLACPY( 'F', M, K, C, LDC, WORK, M )
+*
+ CALL DGELS( 'N', M, K, N, WORK, M, X, LDX,
+ $ WORK( M*K+1 ), LWORK,
+ $ IINFO )
+ INFO = IINFO
+*
+ END IF
+*
+ WORK( 1 ) = DBLE( LWKOPT )
Add:
LWORK( 1 ) = N
as above.
------------------------------
In SRC/dgecx.f
<#1161 (comment)>
:
> +*
+ MNSUB = MIN(MSUB, NSUB)
+ MRESID = MSUB-NSEL
+ NRESID = NSUB-NSEL
+ IF( NSEL.GT.0 ) THEN
+ IF( MSUB.LT.NSEL ) THEN
+* TODO: Move this part to the top of the routine.
+* a) Case MSUB < NSEL.
+* When the number of preselected columns
+* is larger than MSUB, hence the factorization of all NSEL
+* columns cannot be completed. Return from the routine with the
+* error of COL_SEL_DESEL parameter. NSEL cannot be larger than
+* MSUB.
+*
+ INFO = -6
+ WORK( 1 ) = DBLE( LWKOPT )
Add:
LWORK( 1 ) = N
or whatever the formula is. Also elsewhere.
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***@***.***>
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changed the description of DGECX
ilayn
reviewed
Oct 16, 2025
Collaborator
|
We've discussed that this is the expert interface, and we would have a simplified interface (e.g., without all the column selection). Elsewhere in LAPACK, expert interfaces have an extra |
mgates3
reviewed
Nov 12, 2025
mgates3
reviewed
Nov 12, 2025
mgates3
requested changes
Nov 12, 2025
…efined calculation for workspace LWORK and LIWORK
…to include NX crosspver point
…CT = 'X', LDX >= max(1,M) to LDX >= max(1,min(M,N))
… of LDX to now say again If FACT = 'X', LDX >= max(1,M), plus expanded the description of the parameter X.
…em as min|| A - C*X||_F for the unknown X
modified: SRC/dgecxx.f
cosmetic change modified: SRC/dgecxx.f
Also included sgecxx.f in to SRC/CMakeLists.txt SRC/Makefile and modified SRC/lapack_64.h to reflect the addition SRC/sgecxx.f modified: SRC/CMakeLists.txt modified: SRC/Makefile modified: SRC/lapack_64.h new file: SRC/sgecxx.f
modified: TESTING/LIN/dchkaa.F
also changed Definition sections in the top comments modified: TESTING/LIN/dchkcxx.f
modified: TESTING/LIN/dchkcxx.f
modified: TESTING/LIN/dchkcxx.f
from RESULT( 5 ) = 0D+0 to RESULT( 5 ) = ZERO modified: TESTING/LIN/dchkcxx.f
modified: TESTING/LIN/dchkaa.F
modified: LIN/dchkcxx.f
modified: TESTING/LIN/CMakeLists.txt modified: TESTING/LIN/Makefile modified: TESTING/LIN/schkaa.F new file: TESTING/LIN/schkcxx.f new file: TESTING/LIN/serrcxx.f modified: TESTING/LIN/slatb4.f modified: TESTING/stest.in
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… and LIWORK modified: SRC/dgecxx.f modified: SRC/sgecxx.f
modified: SRC/dgecxx.f modified: SRC/sgecxx.f
modified: SRC/dgecxx.f modified: SRC/sgecxx.f
modified: SRC/CMakeLists.txt modified: SRC/Makefile modified: SRC/lapack_64.h new file: SRC/zgecxx.f
modified: TESTING/LIN/dchkcxx.f modified: TESTING/LIN/schkcxx.f
modified: TESTING/LIN/dchkcxx.f
modified: TESTING/LIN/schkcxx.f
…pose argument Fixed ZUNMQR call transpose argumnet 'T' into conjugate transpose 'C'. modified: SRC/zgecxx.f
modified: TESTING/LIN/CMakeLists.txt modified: TESTING/LIN/Makefile modified: TESTING/LIN/zchkaa.F new file: TESTING/LIN/zchkcxx.f new file: TESTING/LIN/zerrcxx.f modified: TESTING/LIN/zlatb4.f modified: TESTING/ztest.in
modified: SRC/CMakeLists.txt modified: SRC/Makefile new file: SRC/cgecxx.f modified: SRC/lapack_64.h
modified: TESTING/LIN/zchkcxx.f
modified: TESTING/LIN/zchkcxx.f
modified: TESTING/LIN/CMakeLists.txt modified: TESTING/LIN/Makefile modified: TESTING/LIN/cchkaa.F new file: TESTING/LIN/cchkcxx.f new file: TESTING/LIN/cerrcxx.f modified: TESTING/LIN/clatb4.f modified: TESTING/ctest.in
modified: TESTING/LIN/dchkcxx.f
modified: TESTING/LIN/schkcxx.f
modified: TESTING/LIN/cchkcxx.f modified: TESTING/LIN/zchkcxx.f
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This a draft for dgecxx.f. to REVIEW and COMMENT