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Diffstat (limited to 'src/lib/blas/dtpmv.f')
| -rw-r--r-- | src/lib/blas/dtpmv.f | 299 |
1 files changed, 0 insertions, 299 deletions
diff --git a/src/lib/blas/dtpmv.f b/src/lib/blas/dtpmv.f deleted file mode 100644 index ee11bc1b..00000000 --- a/src/lib/blas/dtpmv.f +++ /dev/null @@ -1,299 +0,0 @@ - SUBROUTINE DTPMV ( UPLO, TRANS, DIAG, N, AP, X, INCX ) -* .. Scalar Arguments .. - INTEGER INCX, N - CHARACTER*1 DIAG, TRANS, UPLO -* .. Array Arguments .. - DOUBLE PRECISION AP( * ), X( * ) -* .. -* -* Purpose -* ======= -* -* DTPMV performs one of the matrix-vector operations -* -* x := A*x, or x := A'*x, -* -* where x is an n element vector and A is an n by n unit, or non-unit, -* upper or lower triangular matrix, supplied in packed form. -* -* Parameters -* ========== -* -* UPLO - CHARACTER*1. -* On entry, UPLO specifies whether the matrix is an upper or -* lower triangular matrix as follows: -* -* UPLO = 'U' or 'u' A is an upper triangular matrix. -* -* UPLO = 'L' or 'l' A is a lower triangular matrix. -* -* Unchanged on exit. -* -* TRANS - CHARACTER*1. -* On entry, TRANS specifies the operation to be performed as -* follows: -* -* TRANS = 'N' or 'n' x := A*x. -* -* TRANS = 'T' or 't' x := A'*x. -* -* TRANS = 'C' or 'c' x := A'*x. -* -* Unchanged on exit. -* -* DIAG - CHARACTER*1. -* On entry, DIAG specifies whether or not A is unit -* triangular as follows: -* -* DIAG = 'U' or 'u' A is assumed to be unit triangular. -* -* DIAG = 'N' or 'n' A is not assumed to be unit -* triangular. -* -* Unchanged on exit. -* -* N - INTEGER. -* On entry, N specifies the order of the matrix A. -* N must be at least zero. -* Unchanged on exit. -* -* AP - DOUBLE PRECISION array of DIMENSION at least -* ( ( n*( n + 1 ) )/2 ). -* Before entry with UPLO = 'U' or 'u', the array AP must -* contain the upper triangular matrix packed sequentially, -* column by column, so that AP( 1 ) contains a( 1, 1 ), -* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) -* respectively, and so on. -* Before entry with UPLO = 'L' or 'l', the array AP must -* contain the lower triangular matrix packed sequentially, -* column by column, so that AP( 1 ) contains a( 1, 1 ), -* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) -* respectively, and so on. -* Note that when DIAG = 'U' or 'u', the diagonal elements of -* A are not referenced, but are assumed to be unity. -* Unchanged on exit. -* -* X - DOUBLE PRECISION array of dimension at least -* ( 1 + ( n - 1 )*abs( INCX ) ). -* Before entry, the incremented array X must contain the n -* element vector x. On exit, X is overwritten with the -* tranformed vector x. -* -* INCX - INTEGER. -* On entry, INCX specifies the increment for the elements of -* X. INCX must not be zero. -* Unchanged on exit. -* -* -* Level 2 Blas routine. -* -* -- Written on 22-October-1986. -* Jack Dongarra, Argonne National Lab. -* Jeremy Du Croz, Nag Central Office. -* Sven Hammarling, Nag Central Office. -* Richard Hanson, Sandia National Labs. -* -* -* .. Parameters .. - DOUBLE PRECISION ZERO - PARAMETER ( ZERO = 0.0D+0 ) -* .. Local Scalars .. - DOUBLE PRECISION TEMP - INTEGER I, INFO, IX, J, JX, K, KK, KX - LOGICAL NOUNIT -* .. External Functions .. - LOGICAL LSAME - EXTERNAL LSAME -* .. External Subroutines .. - EXTERNAL XERBLA -* .. -* .. Executable Statements .. -* -* Test the input parameters. -* - INFO = 0 - IF ( .NOT.LSAME( UPLO , 'U' ).AND. - $ .NOT.LSAME( UPLO , 'L' ) )THEN - INFO = 1 - ELSE IF( .NOT.LSAME( TRANS, 'N' ).AND. - $ .NOT.LSAME( TRANS, 'T' ).AND. - $ .NOT.LSAME( TRANS, 'C' ) )THEN - INFO = 2 - ELSE IF( .NOT.LSAME( DIAG , 'U' ).AND. - $ .NOT.LSAME( DIAG , 'N' ) )THEN - INFO = 3 - ELSE IF( N.LT.0 )THEN - INFO = 4 - ELSE IF( INCX.EQ.0 )THEN - INFO = 7 - END IF - IF( INFO.NE.0 )THEN - CALL XERBLA( 'DTPMV ', INFO ) - RETURN - END IF -* -* Quick return if possible. -* - IF( N.EQ.0 ) - $ RETURN -* - NOUNIT = LSAME( DIAG, 'N' ) -* -* Set up the start point in X if the increment is not unity. This -* will be ( N - 1 )*INCX too small for descending loops. -* - IF( INCX.LE.0 )THEN - KX = 1 - ( N - 1 )*INCX - ELSE IF( INCX.NE.1 )THEN - KX = 1 - END IF -* -* Start the operations. In this version the elements of AP are -* accessed sequentially with one pass through AP. -* - IF( LSAME( TRANS, 'N' ) )THEN -* -* Form x:= A*x. -* - IF( LSAME( UPLO, 'U' ) )THEN - KK =1 - IF( INCX.EQ.1 )THEN - DO 20, J = 1, N - IF( X( J ).NE.ZERO )THEN - TEMP = X( J ) - K = KK - DO 10, I = 1, J - 1 - X( I ) = X( I ) + TEMP*AP( K ) - K = K + 1 - 10 CONTINUE - IF( NOUNIT ) - $ X( J ) = X( J )*AP( KK + J - 1 ) - END IF - KK = KK + J - 20 CONTINUE - ELSE - JX = KX - DO 40, J = 1, N - IF( X( JX ).NE.ZERO )THEN - TEMP = X( JX ) - IX = KX - DO 30, K = KK, KK + J - 2 - X( IX ) = X( IX ) + TEMP*AP( K ) - IX = IX + INCX - 30 CONTINUE - IF( NOUNIT ) - $ X( JX ) = X( JX )*AP( KK + J - 1 ) - END IF - JX = JX + INCX - KK = KK + J - 40 CONTINUE - END IF - ELSE - KK = ( N*( N + 1 ) )/2 - IF( INCX.EQ.1 )THEN - DO 60, J = N, 1, -1 - IF( X( J ).NE.ZERO )THEN - TEMP = X( J ) - K = KK - DO 50, I = N, J + 1, -1 - X( I ) = X( I ) + TEMP*AP( K ) - K = K - 1 - 50 CONTINUE - IF( NOUNIT ) - $ X( J ) = X( J )*AP( KK - N + J ) - END IF - KK = KK - ( N - J + 1 ) - 60 CONTINUE - ELSE - KX = KX + ( N - 1 )*INCX - JX = KX - DO 80, J = N, 1, -1 - IF( X( JX ).NE.ZERO )THEN - TEMP = X( JX ) - IX = KX - DO 70, K = KK, KK - ( N - ( J + 1 ) ), -1 - X( IX ) = X( IX ) + TEMP*AP( K ) - IX = IX - INCX - 70 CONTINUE - IF( NOUNIT ) - $ X( JX ) = X( JX )*AP( KK - N + J ) - END IF - JX = JX - INCX - KK = KK - ( N - J + 1 ) - 80 CONTINUE - END IF - END IF - ELSE -* -* Form x := A'*x. -* - IF( LSAME( UPLO, 'U' ) )THEN - KK = ( N*( N + 1 ) )/2 - IF( INCX.EQ.1 )THEN - DO 100, J = N, 1, -1 - TEMP = X( J ) - IF( NOUNIT ) - $ TEMP = TEMP*AP( KK ) - K = KK - 1 - DO 90, I = J - 1, 1, -1 - TEMP = TEMP + AP( K )*X( I ) - K = K - 1 - 90 CONTINUE - X( J ) = TEMP - KK = KK - J - 100 CONTINUE - ELSE - JX = KX + ( N - 1 )*INCX - DO 120, J = N, 1, -1 - TEMP = X( JX ) - IX = JX - IF( NOUNIT ) - $ TEMP = TEMP*AP( KK ) - DO 110, K = KK - 1, KK - J + 1, -1 - IX = IX - INCX - TEMP = TEMP + AP( K )*X( IX ) - 110 CONTINUE - X( JX ) = TEMP - JX = JX - INCX - KK = KK - J - 120 CONTINUE - END IF - ELSE - KK = 1 - IF( INCX.EQ.1 )THEN - DO 140, J = 1, N - TEMP = X( J ) - IF( NOUNIT ) - $ TEMP = TEMP*AP( KK ) - K = KK + 1 - DO 130, I = J + 1, N - TEMP = TEMP + AP( K )*X( I ) - K = K + 1 - 130 CONTINUE - X( J ) = TEMP - KK = KK + ( N - J + 1 ) - 140 CONTINUE - ELSE - JX = KX - DO 160, J = 1, N - TEMP = X( JX ) - IX = JX - IF( NOUNIT ) - $ TEMP = TEMP*AP( KK ) - DO 150, K = KK + 1, KK + N - J - IX = IX + INCX - TEMP = TEMP + AP( K )*X( IX ) - 150 CONTINUE - X( JX ) = TEMP - JX = JX + INCX - KK = KK + ( N - J + 1 ) - 160 CONTINUE - END IF - END IF - END IF -* - RETURN -* -* End of DTPMV . -* - END |