Apply LAPACKE fix for eigenvector transposition in symmetric eigensolvers

from Reference-LAPACK PR 330

lapack-netlib/LAPACKE/src/lapacke_cheev_work.c

@@ -78,7 +78,11 @@ lapack_int LAPACKE_cheev_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_cheevd_2stage_work.c

@@ -79,7 +79,11 @@ lapack_int LAPACKE_cheevd_2stage_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda ); 
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_cheevd_work.c

@@ -79,8 +79,11 @@ lapack_int LAPACKE_cheevd_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
-
+        if ( jobz == 'V') {
+            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else { 
+            LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_dsyev_work.c

@@ -72,7 +72,11 @@ lapack_int LAPACKE_dsyev_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_dsyevd_2stage_work.c

@@ -76,7 +76,11 @@ lapack_int LAPACKE_dsyevd_2stage_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_dsyevd_work.c

@@ -76,7 +76,11 @@ lapack_int LAPACKE_dsyevd_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_dsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_ssyev_work.c

@@ -72,7 +72,11 @@ lapack_int LAPACKE_ssyev_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_ssyevd_2stage_work.c

@@ -76,7 +76,11 @@ lapack_int LAPACKE_ssyevd_2stage_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda ); 
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_ssyevd_work.c

@@ -76,7 +76,11 @@ lapack_int LAPACKE_ssyevd_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_ssy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_zheev_work.c

@@ -78,7 +78,11 @@ lapack_int LAPACKE_zheev_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_zheevd_2stage_work.c

@@ -79,7 +79,11 @@ lapack_int LAPACKE_zheevd_2stage_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else {
+            LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0:

lapack-netlib/LAPACKE/src/lapacke_zheevd_work.c

@@ -79,7 +79,11 @@ lapack_int LAPACKE_zheevd_work( int matrix_layout, char jobz, char uplo,
             info = info - 1;
         }
         /* Transpose output matrices */
-        LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        if ( jobz == 'V') {
+            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
+        } else { 
+            LAPACKE_zhe_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
+        }
         /* Release memory and exit */
         LAPACKE_free( a_t );
 exit_level_0: