--- rpl/lapack/lapack/dlansp.f 2010/04/21 13:45:17 1.2
+++ rpl/lapack/lapack/dlansp.f 2016/08/27 15:34:28 1.14
@@ -1,9 +1,123 @@
+*> \brief \b DLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric matrix supplied in packed form.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLANSP + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION DLANSP( NORM, UPLO, N, AP, WORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER NORM, UPLO
+* INTEGER N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AP( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLANSP returns the value of the one norm, or the Frobenius norm, or
+*> the infinity norm, or the element of largest absolute value of a
+*> real symmetric matrix A, supplied in packed form.
+*> \endverbatim
+*>
+*> \return DLANSP
+*> \verbatim
+*>
+*> DLANSP = ( max(abs(A(i,j))), NORM = 'M' or 'm'
+*> (
+*> ( norm1(A), NORM = '1', 'O' or 'o'
+*> (
+*> ( normI(A), NORM = 'I' or 'i'
+*> (
+*> ( normF(A), NORM = 'F', 'f', 'E' or 'e'
+*>
+*> where norm1 denotes the one norm of a matrix (maximum column sum),
+*> normI denotes the infinity norm of a matrix (maximum row sum) and
+*> normF denotes the Frobenius norm of a matrix (square root of sum of
+*> squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] NORM
+*> \verbatim
+*> NORM is CHARACTER*1
+*> Specifies the value to be returned in DLANSP as described
+*> above.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> Specifies whether the upper or lower triangular part of the
+*> symmetric matrix A is supplied.
+*> = 'U': Upper triangular part of A is supplied
+*> = 'L': Lower triangular part of A is supplied
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0. When N = 0, DLANSP is
+*> set to zero.
+*> \endverbatim
+*>
+*> \param[in] AP
+*> \verbatim
+*> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*> The upper or lower triangle of the symmetric matrix A, packed
+*> columnwise in a linear array. The j-th column of A is stored
+*> in the array AP as follows:
+*> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
+*> where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
+*> WORK is not referenced.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup doubleOTHERauxiliary
+*
+* =====================================================================
DOUBLE PRECISION FUNCTION DLANSP( NORM, UPLO, N, AP, WORK )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.4.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* September 2012
*
* .. Scalar Arguments ..
CHARACTER NORM, UPLO
@@ -13,59 +127,6 @@
DOUBLE PRECISION AP( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DLANSP returns the value of the one norm, or the Frobenius norm, or
-* the infinity norm, or the element of largest absolute value of a
-* real symmetric matrix A, supplied in packed form.
-*
-* Description
-* ===========
-*
-* DLANSP returns the value
-*
-* DLANSP = ( max(abs(A(i,j))), NORM = 'M' or 'm'
-* (
-* ( norm1(A), NORM = '1', 'O' or 'o'
-* (
-* ( normI(A), NORM = 'I' or 'i'
-* (
-* ( normF(A), NORM = 'F', 'f', 'E' or 'e'
-*
-* where norm1 denotes the one norm of a matrix (maximum column sum),
-* normI denotes the infinity norm of a matrix (maximum row sum) and
-* normF denotes the Frobenius norm of a matrix (square root of sum of
-* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
-*
-* Arguments
-* =========
-*
-* NORM (input) CHARACTER*1
-* Specifies the value to be returned in DLANSP as described
-* above.
-*
-* UPLO (input) CHARACTER*1
-* Specifies whether the upper or lower triangular part of the
-* symmetric matrix A is supplied.
-* = 'U': Upper triangular part of A is supplied
-* = 'L': Lower triangular part of A is supplied
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0. When N = 0, DLANSP is
-* set to zero.
-*
-* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-* The upper or lower triangle of the symmetric matrix A, packed
-* columnwise in a linear array. The j-th column of A is stored
-* in the array AP as follows:
-* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
-* where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
-* WORK is not referenced.
-*
* =====================================================================
*
* .. Parameters ..
@@ -80,11 +141,11 @@
EXTERNAL DLASSQ
* ..
* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
+ LOGICAL LSAME, DISNAN
+ EXTERNAL LSAME, DISNAN
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, SQRT
+ INTRINSIC ABS, SQRT
* ..
* .. Executable Statements ..
*
@@ -99,7 +160,8 @@
K = 1
DO 20 J = 1, N
DO 10 I = K, K + J - 1
- VALUE = MAX( VALUE, ABS( AP( I ) ) )
+ SUM = ABS( AP( I ) )
+ IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM
10 CONTINUE
K = K + J
20 CONTINUE
@@ -107,7 +169,8 @@
K = 1
DO 40 J = 1, N
DO 30 I = K, K + N - J
- VALUE = MAX( VALUE, ABS( AP( I ) ) )
+ SUM = ABS( AP( I ) )
+ IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM
30 CONTINUE
K = K + N - J + 1
40 CONTINUE
@@ -132,7 +195,8 @@
K = K + 1
60 CONTINUE
DO 70 I = 1, N
- VALUE = MAX( VALUE, WORK( I ) )
+ SUM = WORK( I )
+ IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM
70 CONTINUE
ELSE
DO 80 I = 1, N
@@ -147,7 +211,7 @@
WORK( I ) = WORK( I ) + ABSA
K = K + 1
90 CONTINUE
- VALUE = MAX( VALUE, SUM )
+ IF( VALUE .LT. SUM .OR. DISNAN( SUM ) ) VALUE = SUM
100 CONTINUE
END IF
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN