Handle corner cases of LWORK (Reference-LAPACK PR 942)

lapack-netlib/TESTING/LIN/cchkhe_aa_2stage.f

@@ -433,9 +433,9 @@
 *                 block factorization, LWORK is the length of AINV.
 *
                   SRNAMT = 'CHETRF_AA_2STAGE'
-                  LWORK = MIN(N*NB, 3*NMAX*NMAX)
-                  CALL CHETRF_AA_2STAGE( UPLO, N, AFAC, LDA, 
-     $                                   AINV, (3*NB+1)*N, 
+                  LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX)
+                  CALL CHETRF_AA_2STAGE( UPLO, N, AFAC, LDA,
+     $                                   AINV, MAX( 1, (3*NB+1)*N ),
      $                                   IWORK, IWORK( 1+N ),
      $                                   WORK, LWORK,
      $                                   INFO )
@@ -517,7 +517,6 @@ c                  NT = 1
                      CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 *
                      SRNAMT = 'CHETRS_AA_2STAGE'
-                     LWORK = MAX( 1, 3*N-2 )
                      CALL CHETRS_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
      $                            AINV, (3*NB+1)*N, IWORK, IWORK( 1+N ),
      $                            X, LDA, INFO )

lapack-netlib/TESTING/LIN/cdrvhe_aa_2stage.f

@@ -400,9 +400,9 @@
 *                    Factor the matrix and solve the system using CHESV_AA.
 *
                      SRNAMT = 'CHESV_AA_2STAGE '
-                     LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                     LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX)
                      CALL CHESV_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
-     $                                 AINV, (3*NB+1)*N, 
+     $                                 AINV, MAX( 1, (3*NB+1)*N ),
      $                                 IWORK, IWORK( 1+N ),
      $                                 X, LDA, WORK, LWORK, INFO )
 *

lapack-netlib/TESTING/LIN/dchksy_aa_2stage.f

@@ -421,9 +421,9 @@
 *                 block factorization, LWORK is the length of AINV.
 *
                   SRNAMT = 'DSYTRF_AA_2STAGE'
-                  LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                  LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
                   CALL DSYTRF_AA_2STAGE( UPLO, N, AFAC, LDA, 
-     $                                   AINV, (3*NB+1)*N, 
+     $                                   AINV, MAX( 1, (3*NB+1)*N ),
      $                                   IWORK, IWORK( 1+N ),
      $                                   WORK, LWORK,
      $                                   INFO )
@@ -503,7 +503,6 @@ c                  NT = 1
                      CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 *
                      SRNAMT = 'DSYTRS_AA_2STAGE'
-                     LWORK = MAX( 1, 3*N-2 )
                      CALL DSYTRS_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
      $                            AINV, (3*NB+1)*N, IWORK, IWORK( 1+N ),
      $                            X, LDA, INFO )

lapack-netlib/TESTING/LIN/ddrvsy_aa_2stage.f

@@ -400,9 +400,9 @@
 *                    Factor the matrix and solve the system using DSYSV_AA.
 *
                      SRNAMT = 'DSYSV_AA_2STAGE '
-                     LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                     LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
                      CALL DSYSV_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
-     $                                 AINV, (3*NB+1)*N, 
+     $                                 AINV, MAX( 1, (3*NB+1)*N ),
      $                                 IWORK, IWORK( 1+N ),
      $                                 X, LDA, WORK, LWORK, INFO )
 *

lapack-netlib/TESTING/LIN/schksy_aa_2stage.f

@@ -423,9 +423,9 @@
 *                 block factorization, LWORK is the length of AINV.
 *
                   SRNAMT = 'SSYTRF_AA_2STAGE'
-                  LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                  LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
                   CALL SSYTRF_AA_2STAGE( UPLO, N, AFAC, LDA, 
-     $                                   AINV, (3*NB+1)*N, 
+     $                                   AINV, MAX( 1, (3*NB+1)*N ),
      $                                   IWORK, IWORK( 1+N ),
      $                                   WORK, LWORK,
      $                                   INFO )
@@ -505,7 +505,6 @@
                      CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 *
                      SRNAMT = 'SSYTRS_AA_2STAGE'
-                     LWORK = MAX( 1, 3*N-2 )
                      CALL SSYTRS_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
      $                            AINV, (3*NB+1)*N, IWORK, IWORK( 1+N ),
      $                            X, LDA, INFO )

lapack-netlib/TESTING/LIN/sdrvsy_aa_2stage.f

@@ -400,9 +400,9 @@
 *                    Factor the matrix and solve the system using SSYSV_AA.
 *
                      SRNAMT = 'SSYSV_AA_2STAGE '
-                     LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                     LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
                      CALL SSYSV_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
-     $                                 AINV, (3*NB+1)*N, 
+     $                                 AINV, MAX( 1, (3*NB+1)*N ),
      $                                 IWORK, IWORK( 1+N ),
      $                                 X, LDA, WORK, LWORK, INFO )
 *

lapack-netlib/TESTING/LIN/zchkhe_aa_2stage.f

@@ -8,7 +8,7 @@
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE ZCHKHE_AA_2STAGE( DOTYPE, NN, NVAL, NNB, NBVAL, 
+*       SUBROUTINE ZCHKHE_AA_2STAGE( DOTYPE, NN, NVAL, NNB, NBVAL,
 *                             NNS, NSVAL, THRESH, TSTERR, NMAX, A,
 *                             AFAC, AINV, B, X, XACT, WORK, RWORK,
 *                             IWORK, NOUT )
@@ -185,7 +185,8 @@
       LOGICAL            DOTYPE( * )
       INTEGER            IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
       COMPLEX*16         A( * ), AFAC( * ), AINV( * ), B( * ),
-     $                   RWORK( * ), WORK( * ), X( * ), XACT( * )
+     $                   WORK( * ), X( * ), XACT( * )
+      DOUBLE PRECISION   RWORK( * )
 *     ..
 *
 *  =====================================================================
@@ -430,9 +431,9 @@
 *                 block factorization, LWORK is the length of AINV.
 *
                   SRNAMT = 'ZHETRF_AA_2STAGE'
-                  LWORK = MIN(N*NB, 3*NMAX*NMAX)
-                  CALL ZHETRF_AA_2STAGE( UPLO, N, AFAC, LDA, 
-     $                                   AINV, (3*NB+1)*N, 
+                  LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
+                  CALL ZHETRF_AA_2STAGE( UPLO, N, AFAC, LDA,
+     $                                   AINV, MAX( 1, (3*NB+1)*N ),
      $                                   IWORK, IWORK( 1+N ),
      $                                   WORK, LWORK,
      $                                   INFO )

lapack-netlib/TESTING/LIN/zdrvhe_aa_2stage.f

@@ -400,9 +400,9 @@
 *                    Factor the matrix and solve the system using ZHESV_AA.
 *
                      SRNAMT = 'ZHESV_AA_2STAGE '
-                     LWORK = MIN(N*NB, 3*NMAX*NMAX)
+                     LWORK = MIN( MAX( 1, N*NB ), 3*NMAX*NMAX )
                      CALL ZHESV_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
-     $                                 AINV, (3*NB+1)*N, 
+     $                                 AINV, MAX( 1, (3*NB+1)*N ),
      $                                 IWORK, IWORK( 1+N ),
      $                                 X, LDA, WORK, LWORK, INFO )
 *