--- rpl/lapack/lapack/dla_syrfsx_extended.f 2011/11/21 20:42:54 1.5
+++ rpl/lapack/lapack/dla_syrfsx_extended.f 2018/05/29 07:17:55 1.16
@@ -1,19 +1,19 @@
-*> \brief \b DLA_SYRFSX_EXTENDED
+*> \brief \b DLA_SYRFSX_EXTENDED improves the computed solution to a system of linear equations for symmetric indefinite matrices by performing extra-precise iterative refinement and provides error bounds and backward error estimates for the solution.
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLA_SYRFSX_EXTENDED + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download DLA_SYRFSX_EXTENDED + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
@@ -25,7 +25,7 @@
* AYB, DY, Y_TAIL, RCOND, ITHRESH,
* RTHRESH, DZ_UB, IGNORE_CWISE,
* INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, LDAF, LDB, LDY, N, NRHS, PREC_TYPE,
* $ N_NORMS, ITHRESH
@@ -41,14 +41,14 @@
* $ ERR_BNDS_NORM( NRHS, * ),
* $ ERR_BNDS_COMP( NRHS, * )
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*>
+*>
*> DLA_SYRFSX_EXTENDED improves the computed solution to a system of
*> linear equations by performing extra-precise iterative refinement
*> and provides error bounds and backward error estimates for the solution.
@@ -162,8 +162,7 @@
*>
*> \param[in,out] Y
*> \verbatim
-*> Y is DOUBLE PRECISION array, dimension
-*> (LDY,NRHS)
+*> Y is DOUBLE PRECISION array, dimension (LDY,NRHS)
*> On entry, the solution matrix X, as computed by DSYTRS.
*> On exit, the improved solution matrix Y.
*> \endverbatim
@@ -195,8 +194,7 @@
*>
*> \param[in,out] ERR_BNDS_NORM
*> \verbatim
-*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension
-*> (NRHS, N_ERR_BNDS)
+*> ERR_BNDS_NORM is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS)
*> For each right-hand side, this array contains information about
*> various error bounds and condition numbers corresponding to the
*> normwise relative error, which is defined as follows:
@@ -242,8 +240,7 @@
*>
*> \param[in,out] ERR_BNDS_COMP
*> \verbatim
-*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension
-*> (NRHS, N_ERR_BNDS)
+*> ERR_BNDS_COMP is DOUBLE PRECISION array, dimension (NRHS, N_ERR_BNDS)
*> For each right-hand side, this array contains information about
*> various error bounds and condition numbers corresponding to the
*> componentwise relative error, which is defined as follows:
@@ -374,19 +371,19 @@
*> \verbatim
*> INFO is INTEGER
*> = 0: Successful exit.
-*> < 0: if INFO = -i, the ith argument to DSYTRS had an illegal
+*> < 0: if INFO = -i, the ith argument to DLA_SYRFSX_EXTENDED had an illegal
*> value
*> \endverbatim
*
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date June 2017
*
*> \ingroup doubleSYcomputational
*
@@ -399,10 +396,10 @@
$ RTHRESH, DZ_UB, IGNORE_CWISE,
$ INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.7.1) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* June 2017
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, LDAF, LDB, LDY, N, NRHS, PREC_TYPE,
@@ -428,7 +425,7 @@
$ DZRAT, PREVNORMDX, PREV_DZ_Z, DXRATMAX,
$ DZRATMAX, DX_X, DZ_Z, FINAL_DX_X, FINAL_DZ_Z,
$ EPS, HUGEVAL, INCR_THRESH
- LOGICAL INCR_PREC
+ LOGICAL INCR_PREC, UPPER
* ..
* .. Parameters ..
INTEGER UNSTABLE_STATE, WORKING_STATE, CONV_STATE,
@@ -472,7 +469,27 @@
* ..
* .. Executable Statements ..
*
- IF ( INFO.NE.0 ) RETURN
+ INFO = 0
+ UPPER = LSAME( UPLO, 'U' )
+ IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
+ INFO = -2
+ ELSE IF( N.LT.0 ) THEN
+ INFO = -3
+ ELSE IF( NRHS.LT.0 ) THEN
+ INFO = -4
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -6
+ ELSE IF( LDAF.LT.MAX( 1, N ) ) THEN
+ INFO = -8
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -13
+ ELSE IF( LDY.LT.MAX( 1, N ) ) THEN
+ INFO = -15
+ END IF
+ IF( INFO.NE.0 ) THEN
+ CALL XERBLA( 'DLA_SYRFSX_EXTENDED', -INFO )
+ RETURN
+ END IF
EPS = DLAMCH( 'Epsilon' )
HUGEVAL = DLAMCH( 'Overflow' )
* Force HUGEVAL to Inf
@@ -525,7 +542,7 @@
CALL BLAS_DSYMV2_X(UPLO2, N, -1.0D+0, A, LDA,
$ Y(1, J), Y_TAIL, 1, 1.0D+0, RES, 1, PREC_TYPE)
END IF
-
+
! XXX: RES is no longer needed.
CALL DCOPY( N, RES, 1, DY, 1 )
CALL DSYTRS( UPLO, N, 1, AF, LDAF, IPIV, DY, N, INFO )
@@ -537,11 +554,11 @@
NORMDX = 0.0D+0
DZ_Z = 0.0D+0
YMIN = HUGEVAL
-
+
DO I = 1, N
YK = ABS( Y( I, J ) )
DYK = ABS( DY( I ) )
-
+
IF ( YK .NE. 0.0D+0 ) THEN
DZ_Z = MAX( DZ_Z, DYK / YK )
ELSE IF ( DYK .NE. 0.0D+0 ) THEN
@@ -640,7 +657,7 @@
ELSE
CALL DLA_WWADDW( N, Y(1,J), Y_TAIL, DY )
END IF
-
+
END DO
* Target of "IF (Z_STOP .AND. X_STOP)". Sun's f77 won't EXIT.
666 CONTINUE
@@ -669,9 +686,9 @@
* Compute residual RES = B_s - op(A_s) * Y,
* op(A) = A, A**T, or A**H depending on TRANS (and type).
CALL DCOPY( N, B( 1, J ), 1, RES, 1 )
- CALL DSYMV( UPLO, N, -1.0D+0, A, LDA, Y(1,J), 1, 1.0D+0, RES,
+ CALL DSYMV( UPLO, N, -1.0D+0, A, LDA, Y(1,J), 1, 1.0D+0, RES,
$ 1 )
-
+
DO I = 1, N
AYB( I ) = ABS( B( I, J ) )
END DO
@@ -680,7 +697,7 @@
*
CALL DLA_SYAMV( UPLO2, N, 1.0D+0,
$ A, LDA, Y(1, J), 1, 1.0D+0, AYB, 1 )
-
+
CALL DLA_LIN_BERR( N, N, 1, RES, AYB, BERR_OUT( J ) )
*
* End of loop for each RHS.