SUBROUTINE CTPMV (UPLO, TRANS, DIAG, N, AP, X, INCX) C .. Scalar Arguments .. INTEGER INCX, N CHARACTER*1 DIAG, TRANS, UPLO C .. Array Arguments .. COMPLEX AP( * ), X( * ) C .. Parameters .. COMPLEX ZERO PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) ) C .. Local Scalars .. COMPLEX TEMP INTEGER I, INFO, IX, J, JX, K, KK, KX LOGICAL NOCONJ, NOUNIT C .. External Functions .. LOGICAL LSAME EXTERNAL LSAME C .. External Subroutines .. EXTERNAL XERBLA C .. Intrinsic Functions .. INTRINSIC CONJG C***FIRST EXECUTABLE STATEMENT CTPMV C C Test the input parameters. C 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( 'CTPMV ', INFO ) RETURN END IF C C Quick return if possible. C IF( N.EQ.0 ) $ RETURN C NOCONJ = LSAME( TRANS, 'T' ) NOUNIT = LSAME( DIAG , 'N' ) C C Set up the start point in X if the increment is not unity. This C will be ( N - 1 )*INCX too small for descending loops. C IF( INCX.LE.0 )THEN KX = 1 - ( N - 1 )*INCX ELSE IF( INCX.NE.1 )THEN KX = 1 END IF C C Start the operations. In this version the elements of AP are C accessed sequentially with one pass through AP. C IF( LSAME( TRANS, 'N' ) )THEN C C Form x:= A*x. C 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 C C Form x := A'*x or x := conjg( A' )*x. C IF( LSAME( UPLO, 'U' ) )THEN KK = ( N*( N + 1 ) )/2 IF( INCX.EQ.1 )THEN DO 110, J = N, 1, -1 TEMP = X( J ) K = KK - 1 IF( NOCONJ )THEN IF( NOUNIT ) $ TEMP = TEMP*AP( KK ) DO 90, I = J - 1, 1, -1 TEMP = TEMP + AP( K )*X( I ) K = K - 1 90 CONTINUE ELSE IF( NOUNIT ) $ TEMP = TEMP*CONJG( AP( KK ) ) DO 100, I = J - 1, 1, -1 TEMP = TEMP + CONJG( AP( K ) )*X( I ) K = K - 1 100 CONTINUE END IF X( J ) = TEMP KK = KK - J 110 CONTINUE ELSE JX = KX + ( N - 1 )*INCX DO 140, J = N, 1, -1 TEMP = X( JX ) IX = JX IF( NOCONJ )THEN IF( NOUNIT ) $ TEMP = TEMP*AP( KK ) DO 120, K = KK - 1, KK - J + 1, -1 IX = IX - INCX TEMP = TEMP + AP( K )*X( IX ) 120 CONTINUE ELSE IF( NOUNIT ) $ TEMP = TEMP*CONJG( AP( KK ) ) DO 130, K = KK - 1, KK - J + 1, -1 IX = IX - INCX TEMP = TEMP + CONJG( AP( K ) )*X( IX ) 130 CONTINUE END IF X( JX ) = TEMP JX = JX - INCX KK = KK - J 140 CONTINUE END IF ELSE KK = 1 IF( INCX.EQ.1 )THEN DO 170, J = 1, N TEMP = X( J ) K = KK + 1 IF( NOCONJ )THEN IF( NOUNIT ) $ TEMP = TEMP*AP( KK ) DO 150, I = J + 1, N TEMP = TEMP + AP( K )*X( I ) K = K + 1 150 CONTINUE ELSE IF( NOUNIT ) $ TEMP = TEMP*CONJG( AP( KK ) ) DO 160, I = J + 1, N TEMP = TEMP + CONJG( AP( K ) )*X( I ) K = K + 1 160 CONTINUE END IF X( J ) = TEMP KK = KK + ( N - J + 1 ) 170 CONTINUE ELSE JX = KX DO 200, J = 1, N TEMP = X( JX ) IX = JX IF( NOCONJ )THEN IF( NOUNIT ) $ TEMP = TEMP*AP( KK ) DO 180, K = KK + 1, KK + N - J IX = IX + INCX TEMP = TEMP + AP( K )*X( IX ) 180 CONTINUE ELSE IF( NOUNIT ) $ TEMP = TEMP*CONJG( AP( KK ) ) DO 190, K = KK + 1, KK + N - J IX = IX + INCX TEMP = TEMP + CONJG( AP( K ) )*X( IX ) 190 CONTINUE END IF X( JX ) = TEMP JX = JX + INCX KK = KK + ( N - J + 1 ) 200 CONTINUE END IF END IF END IF C RETURN C C End of CTPMV . C END