--- rpl/lapack/lapack/zlange.f 2010/04/21 13:45:33 1.2
+++ rpl/lapack/lapack/zlange.f 2012/12/14 12:30:31 1.11
@@ -1,9 +1,124 @@
+*> \brief \b ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLANGE + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* DOUBLE PRECISION FUNCTION ZLANGE( NORM, M, N, A, LDA, WORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER NORM
+* INTEGER LDA, M, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION WORK( * )
+* COMPLEX*16 A( LDA, * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZLANGE returns the value of the one norm, or the Frobenius norm, or
+*> the infinity norm, or the element of largest absolute value of a
+*> complex matrix A.
+*> \endverbatim
+*>
+*> \return ZLANGE
+*> \verbatim
+*>
+*> ZLANGE = ( 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 ZLANGE as described
+*> above.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0. When M = 0,
+*> ZLANGE is set to zero.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0. When N = 0,
+*> ZLANGE is set to zero.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is COMPLEX*16 array, dimension (LDA,N)
+*> The m by n matrix A.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(M,1).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
+*> where LWORK >= M when NORM = 'I'; 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 complex16GEauxiliary
+*
+* =====================================================================
DOUBLE PRECISION FUNCTION ZLANGE( NORM, M, N, A, LDA, 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
@@ -14,56 +129,6 @@
COMPLEX*16 A( LDA, * )
* ..
*
-* Purpose
-* =======
-*
-* ZLANGE returns the value of the one norm, or the Frobenius norm, or
-* the infinity norm, or the element of largest absolute value of a
-* complex matrix A.
-*
-* Description
-* ===========
-*
-* ZLANGE returns the value
-*
-* ZLANGE = ( 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 ZLANGE as described
-* above.
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0. When M = 0,
-* ZLANGE is set to zero.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0. When N = 0,
-* ZLANGE is set to zero.
-*
-* A (input) COMPLEX*16 array, dimension (LDA,N)
-* The m by n matrix A.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(M,1).
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
-* where LWORK >= M when NORM = 'I'; otherwise, WORK is not
-* referenced.
-*
* =====================================================================
*
* .. Parameters ..
@@ -72,17 +137,17 @@
* ..
* .. Local Scalars ..
INTEGER I, J
- DOUBLE PRECISION SCALE, SUM, VALUE
+ DOUBLE PRECISION SCALE, SUM, VALUE, TEMP
* ..
* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
+ LOGICAL LSAME, DISNAN
+ EXTERNAL LSAME, DISNAN
* ..
* .. External Subroutines ..
EXTERNAL ZLASSQ
* ..
* .. Intrinsic Functions ..
- INTRINSIC ABS, MAX, MIN, SQRT
+ INTRINSIC ABS, MIN, SQRT
* ..
* .. Executable Statements ..
*
@@ -95,7 +160,8 @@
VALUE = ZERO
DO 20 J = 1, N
DO 10 I = 1, M
- VALUE = MAX( VALUE, ABS( A( I, J ) ) )
+ TEMP = ABS( A( I, J ) )
+ IF( VALUE.LT.TEMP .OR. DISNAN( TEMP ) ) VALUE = TEMP
10 CONTINUE
20 CONTINUE
ELSE IF( ( LSAME( NORM, 'O' ) ) .OR. ( NORM.EQ.'1' ) ) THEN
@@ -108,7 +174,7 @@
DO 30 I = 1, M
SUM = SUM + ABS( A( I, J ) )
30 CONTINUE
- VALUE = MAX( VALUE, SUM )
+ IF( VALUE.LT.SUM .OR. DISNAN( SUM ) ) VALUE = SUM
40 CONTINUE
ELSE IF( LSAME( NORM, 'I' ) ) THEN
*
@@ -124,7 +190,8 @@
70 CONTINUE
VALUE = ZERO
DO 80 I = 1, M
- VALUE = MAX( VALUE, WORK( I ) )
+ TEMP = WORK( I )
+ IF( VALUE.LT.TEMP .OR. DISNAN( TEMP ) ) VALUE = TEMP
80 CONTINUE
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN
*