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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
commite1d39294aee16fa6db9ba079b14442358217db71 (patch)
tree30e5aa04c1f6596991fda5334f63dfb9b8027849 /TESTING/LIN/ctpt05.f
parent5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff)
Integrating Doxygen in comments
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+++ b/TESTING/LIN/ctpt05.f
@@ -1,9 +1,186 @@
+*> \brief \b CTPT05
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE CTPT05( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX,
+* XACT, LDXACT, FERR, BERR, RESLTS )
+*
+* .. Scalar Arguments ..
+* CHARACTER DIAG, TRANS, UPLO
+* INTEGER LDB, LDX, LDXACT, N, NRHS
+* ..
+* .. Array Arguments ..
+* REAL BERR( * ), FERR( * ), RESLTS( * )
+* COMPLEX AP( * ), B( LDB, * ), X( LDX, * ),
+* $ XACT( LDXACT, * )
+* ..
+*
+* Purpose
+* =======
+*
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> CTPT05 tests the error bounds from iterative refinement for the
+*> computed solution to a system of equations A*X = B, where A is a
+*> triangular matrix in packed storage format.
+*>
+*> RESLTS(1) = test of the error bound
+*> = norm(X - XACT) / ( norm(X) * FERR )
+*>
+*> A large value is returned if this ratio is not less than one.
+*>
+*> RESLTS(2) = residual from the iterative refinement routine
+*> = the maximum of BERR / ( (n+1)*EPS + (*) ), where
+*> (*) = (n+1)*UNFL / (min_i (abs(A)*abs(X) +abs(b))_i )
+*>
+*>\endverbatim
+*
+* Arguments
+* =========
+*
+*> \param[in] UPLO
+*> \verbatim
+*> UPLO is CHARACTER*1
+*> Specifies whether the matrix A is upper or lower triangular.
+*> = 'U': Upper triangular
+*> = 'L': Lower triangular
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*> TRANS is CHARACTER*1
+*> Specifies the form of the system of equations.
+*> = 'N': A * X = B (No transpose)
+*> = 'T': A'* X = B (Transpose)
+*> = 'C': A'* X = B (Conjugate transpose = Transpose)
+*> \endverbatim
+*>
+*> \param[in] DIAG
+*> \verbatim
+*> DIAG is CHARACTER*1
+*> Specifies whether or not the matrix A is unit triangular.
+*> = 'N': Non-unit triangular
+*> = 'U': Unit triangular
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of rows of the matrices X, B, and XACT, and the
+*> order of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] NRHS
+*> \verbatim
+*> NRHS is INTEGER
+*> The number of columns of the matrices X, B, and XACT.
+*> NRHS >= 0.
+*> \endverbatim
+*>
+*> \param[in] AP
+*> \verbatim
+*> AP is COMPLEX array, dimension (N*(N+1)/2)
+*> The upper or lower triangular 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.
+*> If DIAG = 'U', the diagonal elements of A are not referenced
+*> and are assumed to be 1.
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*> B is COMPLEX array, dimension (LDB,NRHS)
+*> The right hand side vectors for the system of linear
+*> equations.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*> LDB is INTEGER
+*> The leading dimension of the array B. LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is COMPLEX array, dimension (LDX,NRHS)
+*> The computed solution vectors. Each vector is stored as a
+*> column of the matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDX
+*> \verbatim
+*> LDX is INTEGER
+*> The leading dimension of the array X. LDX >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] XACT
+*> \verbatim
+*> XACT is COMPLEX array, dimension (LDX,NRHS)
+*> The exact solution vectors. Each vector is stored as a
+*> column of the matrix XACT.
+*> \endverbatim
+*>
+*> \param[in] LDXACT
+*> \verbatim
+*> LDXACT is INTEGER
+*> The leading dimension of the array XACT. LDXACT >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] FERR
+*> \verbatim
+*> FERR is REAL array, dimension (NRHS)
+*> The estimated forward error bounds for each solution vector
+*> X. If XTRUE is the true solution, FERR bounds the magnitude
+*> of the largest entry in (X - XTRUE) divided by the magnitude
+*> of the largest entry in X.
+*> \endverbatim
+*>
+*> \param[in] BERR
+*> \verbatim
+*> BERR is REAL array, dimension (NRHS)
+*> The componentwise relative backward error of each solution
+*> vector (i.e., the smallest relative change in any entry of A
+*> or B that makes X an exact solution).
+*> \endverbatim
+*>
+*> \param[out] RESLTS
+*> \verbatim
+*> RESLTS is REAL array, dimension (2)
+*> The maximum over the NRHS solution vectors of the ratios:
+*> RESLTS(1) = norm(X - XACT) / ( norm(X) * FERR )
+*> RESLTS(2) = BERR / ( (n+1)*EPS + (*) )
+*> \endverbatim
+*>
+*
+* Authors
+* =======
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex_lin
+*
+* =====================================================================
SUBROUTINE CTPT05( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX,
$ XACT, LDXACT, FERR, BERR, RESLTS )
*
* -- LAPACK test routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER DIAG, TRANS, UPLO
@@ -15,95 +192,6 @@
$ XACT( LDXACT, * )
* ..
*
-* Purpose
-* =======
-*
-* CTPT05 tests the error bounds from iterative refinement for the
-* computed solution to a system of equations A*X = B, where A is a
-* triangular matrix in packed storage format.
-*
-* RESLTS(1) = test of the error bound
-* = norm(X - XACT) / ( norm(X) * FERR )
-*
-* A large value is returned if this ratio is not less than one.
-*
-* RESLTS(2) = residual from the iterative refinement routine
-* = the maximum of BERR / ( (n+1)*EPS + (*) ), where
-* (*) = (n+1)*UNFL / (min_i (abs(A)*abs(X) +abs(b))_i )
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* Specifies whether the matrix A is upper or lower triangular.
-* = 'U': Upper triangular
-* = 'L': Lower triangular
-*
-* TRANS (input) CHARACTER*1
-* Specifies the form of the system of equations.
-* = 'N': A * X = B (No transpose)
-* = 'T': A'* X = B (Transpose)
-* = 'C': A'* X = B (Conjugate transpose = Transpose)
-*
-* DIAG (input) CHARACTER*1
-* Specifies whether or not the matrix A is unit triangular.
-* = 'N': Non-unit triangular
-* = 'U': Unit triangular
-*
-* N (input) INTEGER
-* The number of rows of the matrices X, B, and XACT, and the
-* order of the matrix A. N >= 0.
-*
-* NRHS (input) INTEGER
-* The number of columns of the matrices X, B, and XACT.
-* NRHS >= 0.
-*
-* AP (input) COMPLEX array, dimension (N*(N+1)/2)
-* The upper or lower triangular 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.
-* If DIAG = 'U', the diagonal elements of A are not referenced
-* and are assumed to be 1.
-*
-* B (input) COMPLEX array, dimension (LDB,NRHS)
-* The right hand side vectors for the system of linear
-* equations.
-*
-* LDB (input) INTEGER
-* The leading dimension of the array B. LDB >= max(1,N).
-*
-* X (input) COMPLEX array, dimension (LDX,NRHS)
-* The computed solution vectors. Each vector is stored as a
-* column of the matrix X.
-*
-* LDX (input) INTEGER
-* The leading dimension of the array X. LDX >= max(1,N).
-*
-* XACT (input) COMPLEX array, dimension (LDX,NRHS)
-* The exact solution vectors. Each vector is stored as a
-* column of the matrix XACT.
-*
-* LDXACT (input) INTEGER
-* The leading dimension of the array XACT. LDXACT >= max(1,N).
-*
-* FERR (input) REAL array, dimension (NRHS)
-* The estimated forward error bounds for each solution vector
-* X. If XTRUE is the true solution, FERR bounds the magnitude
-* of the largest entry in (X - XTRUE) divided by the magnitude
-* of the largest entry in X.
-*
-* BERR (input) REAL array, dimension (NRHS)
-* The componentwise relative backward error of each solution
-* vector (i.e., the smallest relative change in any entry of A
-* or B that makes X an exact solution).
-*
-* RESLTS (output) REAL array, dimension (2)
-* The maximum over the NRHS solution vectors of the ratios:
-* RESLTS(1) = norm(X - XACT) / ( norm(X) * FERR )
-* RESLTS(2) = BERR / ( (n+1)*EPS + (*) )
-*
* =====================================================================
*
* .. Parameters ..