--- rpl/lapack/lapack/dtrttf.f 2010/08/07 13:21:07 1.1
+++ rpl/lapack/lapack/dtrttf.f 2012/12/14 12:30:28 1.10
@@ -1,12 +1,203 @@
- SUBROUTINE DTRTTF( TRANSR, UPLO, N, A, LDA, ARF, INFO )
+*> \brief \b DTRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF).
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
-* -- LAPACK routine (version 3.2.2) --
+*> \htmlonly
+*> Download DTRTTF + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DTRTTF( TRANSR, UPLO, N, A, LDA, ARF, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER TRANSR, UPLO
+* INTEGER INFO, N, LDA
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION A( 0: LDA-1, 0: * ), ARF( 0: * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DTRTTF copies a triangular matrix A from standard full format (TR)
+*> to rectangular full packed format (TF) .
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] TRANSR
+*> \verbatim
+*> TRANSR is CHARACTER*1
+*> = 'N': ARF in Normal form is wanted;
+*> = 'T': ARF in Transpose form is wanted.
+*> \endverbatim
+*>
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> = 'U': Upper triangle of A is stored;
+*> = 'L': Lower triangle of A is stored.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] A
+*> \verbatim
+*> A is DOUBLE PRECISION array, dimension (LDA,N).
+*> On entry, the triangular matrix A. If UPLO = 'U', the
+*> leading N-by-N upper triangular part of the array A contains
+*> the upper triangular matrix, and the strictly lower
+*> triangular part of A is not referenced. If UPLO = 'L', the
+*> leading N-by-N lower triangular part of the array A contains
+*> the lower triangular matrix, and the strictly upper
+*> triangular part of A is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the matrix A. LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] ARF
+*> \verbatim
+*> ARF is DOUBLE PRECISION array, dimension (NT).
+*> NT=N*(N+1)/2. On exit, the triangular matrix A in RFP format.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup doubleOTHERcomputational
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> We first consider Rectangular Full Packed (RFP) Format when N is
+*> even. We give an example where N = 6.
+*>
+*> AP is Upper AP is Lower
+*>
+*> 00 01 02 03 04 05 00
+*> 11 12 13 14 15 10 11
+*> 22 23 24 25 20 21 22
+*> 33 34 35 30 31 32 33
+*> 44 45 40 41 42 43 44
+*> 55 50 51 52 53 54 55
+*>
+*>
+*> Let TRANSR = 'N'. RFP holds AP as follows:
+*> For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last
+*> three columns of AP upper. The lower triangle A(4:6,0:2) consists of
+*> the transpose of the first three columns of AP upper.
+*> For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first
+*> three columns of AP lower. The upper triangle A(0:2,0:2) consists of
+*> the transpose of the last three columns of AP lower.
+*> This covers the case N even and TRANSR = 'N'.
+*>
+*> RFP A RFP A
+*>
+*> 03 04 05 33 43 53
+*> 13 14 15 00 44 54
+*> 23 24 25 10 11 55
+*> 33 34 35 20 21 22
+*> 00 44 45 30 31 32
+*> 01 11 55 40 41 42
+*> 02 12 22 50 51 52
+*>
+*> Now let TRANSR = 'T'. RFP A in both UPLO cases is just the
+*> transpose of RFP A above. One therefore gets:
+*>
+*>
+*> RFP A RFP A
+*>
+*> 03 13 23 33 00 01 02 33 00 10 20 30 40 50
+*> 04 14 24 34 44 11 12 43 44 11 21 31 41 51
+*> 05 15 25 35 45 55 22 53 54 55 22 32 42 52
+*>
+*>
+*> We then consider Rectangular Full Packed (RFP) Format when N is
+*> odd. We give an example where N = 5.
+*>
+*> AP is Upper AP is Lower
+*>
+*> 00 01 02 03 04 00
+*> 11 12 13 14 10 11
+*> 22 23 24 20 21 22
+*> 33 34 30 31 32 33
+*> 44 40 41 42 43 44
+*>
+*>
+*> Let TRANSR = 'N'. RFP holds AP as follows:
+*> For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last
+*> three columns of AP upper. The lower triangle A(3:4,0:1) consists of
+*> the transpose of the first two columns of AP upper.
+*> For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first
+*> three columns of AP lower. The upper triangle A(0:1,1:2) consists of
+*> the transpose of the last two columns of AP lower.
+*> This covers the case N odd and TRANSR = 'N'.
+*>
+*> RFP A RFP A
+*>
+*> 02 03 04 00 33 43
+*> 12 13 14 10 11 44
+*> 22 23 24 20 21 22
+*> 00 33 34 30 31 32
+*> 01 11 44 40 41 42
+*>
+*> Now let TRANSR = 'T'. RFP A in both UPLO cases is just the
+*> transpose of RFP A above. One therefore gets:
+*>
+*> RFP A RFP A
+*>
+*> 02 12 22 00 01 00 10 20 30 40 50
+*> 03 13 23 33 11 33 11 21 31 41 51
+*> 04 14 24 34 44 43 44 22 32 42 52
+*> \endverbatim
*
-* -- Contributed by Fred Gustavson of the IBM Watson Research Center --
-* -- June 2010 --
+* =====================================================================
+ SUBROUTINE DTRTTF( TRANSR, UPLO, N, A, LDA, ARF, INFO )
*
+* -- LAPACK computational 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..--
+* September 2012
*
* .. Scalar Arguments ..
CHARACTER TRANSR, UPLO
@@ -16,132 +207,6 @@
DOUBLE PRECISION A( 0: LDA-1, 0: * ), ARF( 0: * )
* ..
*
-* Purpose
-* =======
-*
-* DTRTTF copies a triangular matrix A from standard full format (TR)
-* to rectangular full packed format (TF) .
-*
-* Arguments
-* =========
-*
-* TRANSR (input) CHARACTER
-* = 'N': ARF in Normal form is wanted;
-* = 'T': ARF in Transpose form is wanted.
-*
-* UPLO (input) CHARACTER
-* = 'U': Upper triangle of A is stored;
-* = 'L': Lower triangle of A is stored.
-*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0.
-*
-* A (input) DOUBLE PRECISION array, dimension (LDA,N).
-* On entry, the triangular matrix A. If UPLO = 'U', the
-* leading N-by-N upper triangular part of the array A contains
-* the upper triangular matrix, and the strictly lower
-* triangular part of A is not referenced. If UPLO = 'L', the
-* leading N-by-N lower triangular part of the array A contains
-* the lower triangular matrix, and the strictly upper
-* triangular part of A is not referenced.
-*
-* LDA (input) INTEGER
-* The leading dimension of the matrix A. LDA >= max(1,N).
-*
-* ARF (output) DOUBLE PRECISION array, dimension (NT).
-* NT=N*(N+1)/2. On exit, the triangular matrix A in RFP format.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* Further Details
-* ===============
-*
-* We first consider Rectangular Full Packed (RFP) Format when N is
-* even. We give an example where N = 6.
-*
-* AP is Upper AP is Lower
-*
-* 00 01 02 03 04 05 00
-* 11 12 13 14 15 10 11
-* 22 23 24 25 20 21 22
-* 33 34 35 30 31 32 33
-* 44 45 40 41 42 43 44
-* 55 50 51 52 53 54 55
-*
-*
-* Let TRANSR = 'N'. RFP holds AP as follows:
-* For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last
-* three columns of AP upper. The lower triangle A(4:6,0:2) consists of
-* the transpose of the first three columns of AP upper.
-* For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first
-* three columns of AP lower. The upper triangle A(0:2,0:2) consists of
-* the transpose of the last three columns of AP lower.
-* This covers the case N even and TRANSR = 'N'.
-*
-* RFP A RFP A
-*
-* 03 04 05 33 43 53
-* 13 14 15 00 44 54
-* 23 24 25 10 11 55
-* 33 34 35 20 21 22
-* 00 44 45 30 31 32
-* 01 11 55 40 41 42
-* 02 12 22 50 51 52
-*
-* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the
-* transpose of RFP A above. One therefore gets:
-*
-*
-* RFP A RFP A
-*
-* 03 13 23 33 00 01 02 33 00 10 20 30 40 50
-* 04 14 24 34 44 11 12 43 44 11 21 31 41 51
-* 05 15 25 35 45 55 22 53 54 55 22 32 42 52
-*
-*
-* We then consider Rectangular Full Packed (RFP) Format when N is
-* odd. We give an example where N = 5.
-*
-* AP is Upper AP is Lower
-*
-* 00 01 02 03 04 00
-* 11 12 13 14 10 11
-* 22 23 24 20 21 22
-* 33 34 30 31 32 33
-* 44 40 41 42 43 44
-*
-*
-* Let TRANSR = 'N'. RFP holds AP as follows:
-* For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last
-* three columns of AP upper. The lower triangle A(3:4,0:1) consists of
-* the transpose of the first two columns of AP upper.
-* For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first
-* three columns of AP lower. The upper triangle A(0:1,1:2) consists of
-* the transpose of the last two columns of AP lower.
-* This covers the case N odd and TRANSR = 'N'.
-*
-* RFP A RFP A
-*
-* 02 03 04 00 33 43
-* 12 13 14 10 11 44
-* 22 23 24 20 21 22
-* 00 33 34 30 31 32
-* 01 11 44 40 41 42
-*
-* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the
-* transpose of RFP A above. One therefore gets:
-*
-* RFP A RFP A
-*
-* 02 12 22 00 01 00 10 20 30 40 50
-* 03 13 23 33 11 33 11 21 31 41 51
-* 04 14 24 34 44 43 44 22 32 42 52
-*
-* Reference
-* =========
-*
* =====================================================================
*
* ..
@@ -211,11 +276,11 @@
K = N / 2
NISODD = .FALSE.
IF( .NOT.LOWER )
- + NP1X2 = N + N + 2
+ $ NP1X2 = N + N + 2
ELSE
NISODD = .TRUE.
IF( .NOT.LOWER )
- + NX2 = N + N
+ $ NX2 = N + N
END IF
*
IF( NISODD ) THEN