      SUBROUTINE DAXPY(N,DA,DX,INCX,DY,INCY)
*     .. Scalar Arguments ..
      DOUBLE PRECISION DA
      INTEGER INCX,INCY,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*),DY(*)
*     ..
*
*  Purpose
*  =======
*
*     constant times a vector plus a vector.
*     uses unrolled loops for increments equal to one.
*     jack dongarra, linpack, 3/11/78.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      INTEGER I,IX,IY,M,MP1
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      IF (N.LE.0) RETURN
      IF (DA.EQ.0.0d0) RETURN
      IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
*
*        code for unequal increments or equal increments
*          not equal to 1
*
      IX = 1
      IY = 1
      IF (INCX.LT.0) IX = (-N+1)*INCX + 1
      IF (INCY.LT.0) IY = (-N+1)*INCY + 1
      DO 10 I = 1,N
          DY(IY) = DY(IY) + DA*DX(IX)
          IX = IX + INCX
          IY = IY + INCY
   10 CONTINUE
      RETURN
*
*        code for both increments equal to 1
*
*
*        clean-up loop
*
   20 M = MOD(N,4)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DY(I) = DY(I) + DA*DX(I)
   30 CONTINUE
      IF (N.LT.4) RETURN
   40 MP1 = M + 1
      DO 50 I = MP1,N,4
          DY(I) = DY(I) + DA*DX(I)
          DY(I+1) = DY(I+1) + DA*DX(I+1)
          DY(I+2) = DY(I+2) + DA*DX(I+2)
          DY(I+3) = DY(I+3) + DA*DX(I+3)
   50 CONTINUE
      RETURN
      END

      SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
*     .. Scalar Arguments ..
      INTEGER INCX,INCY,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*),DY(*)
*     ..
*
*  Purpose
*  =======
*
*     copies a vector, x, to a vector, y.
*     uses unrolled loops for increments equal to one.
*     jack dongarra, linpack, 3/11/78.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      INTEGER I,IX,IY,M,MP1
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      IF (N.LE.0) RETURN
      IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
*
*        code for unequal increments or equal increments
*          not equal to 1
*
      IX = 1
      IY = 1
      IF (INCX.LT.0) IX = (-N+1)*INCX + 1
      IF (INCY.LT.0) IY = (-N+1)*INCY + 1
      DO 10 I = 1,N
          DY(IY) = DX(IX)
          IX = IX + INCX
          IY = IY + INCY
   10 CONTINUE
      RETURN
*
*        code for both increments equal to 1
*
*
*        clean-up loop
*
   20 M = MOD(N,7)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DY(I) = DX(I)
   30 CONTINUE
      IF (N.LT.7) RETURN
   40 MP1 = M + 1
      DO 50 I = MP1,N,7
          DY(I) = DX(I)
          DY(I+1) = DX(I+1)
          DY(I+2) = DX(I+2)
          DY(I+3) = DX(I+3)
          DY(I+4) = DX(I+4)
          DY(I+5) = DX(I+5)
          DY(I+6) = DX(I+6)
   50 CONTINUE
      RETURN
      END

      SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)
*     .. Scalar Arguments ..
      DOUBLE PRECISION ALPHA,BETA
      INTEGER K,LDA,LDB,LDC,M,N
      CHARACTER TRANSA,TRANSB
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*)
*     ..
*
*  Purpose
*  =======
*
*  DGEMM  performs one of the matrix-matrix operations
*
*     C := alpha*op( A )*op( B ) + beta*C,
*
*  where  op( X ) is one of
*
*     op( X ) = X   or   op( X ) = X',
*
*  alpha and beta are scalars, and A, B and C are matrices, with op( A )
*  an m by k matrix,  op( B )  a  k by n matrix and  C an m by n matrix.
*
*  Arguments
*  ==========
*
*  TRANSA - CHARACTER*1.
*           On entry, TRANSA specifies the form of op( A ) to be used in
*           the matrix multiplication as follows:
*
*              TRANSA = 'N' or 'n',  op( A ) = A.
*
*              TRANSA = 'T' or 't',  op( A ) = A'.
*
*              TRANSA = 'C' or 'c',  op( A ) = A'.
*
*           Unchanged on exit.
*
*  TRANSB - CHARACTER*1.
*           On entry, TRANSB specifies the form of op( B ) to be used in
*           the matrix multiplication as follows:
*
*              TRANSB = 'N' or 'n',  op( B ) = B.
*
*              TRANSB = 'T' or 't',  op( B ) = B'.
*
*              TRANSB = 'C' or 'c',  op( B ) = B'.
*
*           Unchanged on exit.
*
*  M      - INTEGER.
*           On entry,  M  specifies  the number  of rows  of the  matrix
*           op( A )  and of the  matrix  C.  M  must  be at least  zero.
*           Unchanged on exit.
*
*  N      - INTEGER.
*           On entry,  N  specifies the number  of columns of the matrix
*           op( B ) and the number of columns of the matrix C. N must be
*           at least zero.
*           Unchanged on exit.
*
*  K      - INTEGER.
*           On entry,  K  specifies  the number of columns of the matrix
*           op( A ) and the number of rows of the matrix op( B ). K must
*           be at least  zero.
*           Unchanged on exit.
*
*  ALPHA  - DOUBLE PRECISION.
*           On entry, ALPHA specifies the scalar alpha.
*           Unchanged on exit.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
*           k  when  TRANSA = 'N' or 'n',  and is  m  otherwise.
*           Before entry with  TRANSA = 'N' or 'n',  the leading  m by k
*           part of the array  A  must contain the matrix  A,  otherwise
*           the leading  k by m  part of the array  A  must contain  the
*           matrix A.
*           Unchanged on exit.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program. When  TRANSA = 'N' or 'n' then
*           LDA must be at least  max( 1, m ), otherwise  LDA must be at
*           least  max( 1, k ).
*           Unchanged on exit.
*
*  B      - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
*           n  when  TRANSB = 'N' or 'n',  and is  k  otherwise.
*           Before entry with  TRANSB = 'N' or 'n',  the leading  k by n
*           part of the array  B  must contain the matrix  B,  otherwise
*           the leading  n by k  part of the array  B  must contain  the
*           matrix B.
*           Unchanged on exit.
*
*  LDB    - INTEGER.
*           On entry, LDB specifies the first dimension of B as declared
*           in the calling (sub) program. When  TRANSB = 'N' or 'n' then
*           LDB must be at least  max( 1, k ), otherwise  LDB must be at
*           least  max( 1, n ).
*           Unchanged on exit.
*
*  BETA   - DOUBLE PRECISION.
*           On entry,  BETA  specifies the scalar  beta.  When  BETA  is
*           supplied as zero then C need not be set on input.
*           Unchanged on exit.
*
*  C      - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
*           Before entry, the leading  m by n  part of the array  C must
*           contain the matrix  C,  except when  beta  is zero, in which
*           case C need not be set on entry.
*           On exit, the array  C  is overwritten by the  m by n  matrix
*           ( alpha*op( A )*op( B ) + beta*C ).
*
*  LDC    - INTEGER.
*           On entry, LDC specifies the first dimension of C as declared
*           in  the  calling  (sub)  program.   LDC  must  be  at  least
*           max( 1, m ).
*           Unchanged on exit.
*
*
*  Level 3 Blas routine.
*
*  -- Written on 8-February-1989.
*     Jack Dongarra, Argonne National Laboratory.
*     Iain Duff, AERE Harwell.
*     Jeremy Du Croz, Numerical Algorithms Group Ltd.
*     Sven Hammarling, Numerical Algorithms Group Ltd.
*
*
*     .. External Functions ..
      LOGICAL LSAME
      EXTERNAL LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX
*     ..
*     .. Local Scalars ..
      DOUBLE PRECISION TEMP
      INTEGER I,INFO,J,L,NCOLA,NROWA,NROWB
      LOGICAL NOTA,NOTB
*     ..
*     .. Parameters ..
      DOUBLE PRECISION ONE,ZERO
      PARAMETER (ONE=1.0D+0,ZERO=0.0D+0)
*     ..
*
*     Set  NOTA  and  NOTB  as  true if  A  and  B  respectively are not
*     transposed and set  NROWA, NCOLA and  NROWB  as the number of rows
*     and  columns of  A  and the  number of  rows  of  B  respectively.
*
      NOTA = LSAME(TRANSA,'N')
      NOTB = LSAME(TRANSB,'N')
      IF (NOTA) THEN
          NROWA = M
          NCOLA = K
      ELSE
          NROWA = K
          NCOLA = M
      END IF
      IF (NOTB) THEN
          NROWB = K
      ELSE
          NROWB = N
      END IF
*
*     Test the input parameters.
*
      INFO = 0
      IF ((.NOT.NOTA) .AND. (.NOT.LSAME(TRANSA,'C')) .AND.
     +    (.NOT.LSAME(TRANSA,'T'))) THEN
          INFO = 1
      ELSE IF ((.NOT.NOTB) .AND. (.NOT.LSAME(TRANSB,'C')) .AND.
     +         (.NOT.LSAME(TRANSB,'T'))) THEN
          INFO = 2
      ELSE IF (M.LT.0) THEN
          INFO = 3
      ELSE IF (N.LT.0) THEN
          INFO = 4
      ELSE IF (K.LT.0) THEN
          INFO = 5
      ELSE IF (LDA.LT.MAX(1,NROWA)) THEN
          INFO = 8
      ELSE IF (LDB.LT.MAX(1,NROWB)) THEN
          INFO = 10
      ELSE IF (LDC.LT.MAX(1,M)) THEN
          INFO = 13
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DGEMM ',INFO)
          RETURN
      END IF
*
*     Quick return if possible.
*
      IF ((M.EQ.0) .OR. (N.EQ.0) .OR.
     +    (((ALPHA.EQ.ZERO).OR. (K.EQ.0)).AND. (BETA.EQ.ONE))) RETURN
*
*     And if  alpha.eq.zero.
*
      IF (ALPHA.EQ.ZERO) THEN
          IF (BETA.EQ.ZERO) THEN
              DO 20 J = 1,N
                  DO 10 I = 1,M
                      C(I,J) = ZERO
   10             CONTINUE
   20         CONTINUE
          ELSE
              DO 40 J = 1,N
                  DO 30 I = 1,M
                      C(I,J) = BETA*C(I,J)
   30             CONTINUE
   40         CONTINUE
          END IF
          RETURN
      END IF
*
*     Start the operations.
*
      IF (NOTB) THEN
          IF (NOTA) THEN
*
*           Form  C := alpha*A*B + beta*C.
*
              DO 90 J = 1,N
                  IF (BETA.EQ.ZERO) THEN
                      DO 50 I = 1,M
                          C(I,J) = ZERO
   50                 CONTINUE
                  ELSE IF (BETA.NE.ONE) THEN
                      DO 60 I = 1,M
                          C(I,J) = BETA*C(I,J)
   60                 CONTINUE
                  END IF
                  DO 80 L = 1,K
                      IF (B(L,J).NE.ZERO) THEN
                          TEMP = ALPHA*B(L,J)
                          DO 70 I = 1,M
                              C(I,J) = C(I,J) + TEMP*A(I,L)
   70                     CONTINUE
                      END IF
   80             CONTINUE
   90         CONTINUE
          ELSE
*
*           Form  C := alpha*A'*B + beta*C
*
              DO 120 J = 1,N
                  DO 110 I = 1,M
                      TEMP = ZERO
                      DO 100 L = 1,K
                          TEMP = TEMP + A(L,I)*B(L,J)
  100                 CONTINUE
                      IF (BETA.EQ.ZERO) THEN
                          C(I,J) = ALPHA*TEMP
                      ELSE
                          C(I,J) = ALPHA*TEMP + BETA*C(I,J)
                      END IF
  110             CONTINUE
  120         CONTINUE
          END IF
      ELSE
          IF (NOTA) THEN
*
*           Form  C := alpha*A*B' + beta*C
*
              DO 170 J = 1,N
                  IF (BETA.EQ.ZERO) THEN
                      DO 130 I = 1,M
                          C(I,J) = ZERO
  130                 CONTINUE
                  ELSE IF (BETA.NE.ONE) THEN
                      DO 140 I = 1,M
                          C(I,J) = BETA*C(I,J)
  140                 CONTINUE
                  END IF
                  DO 160 L = 1,K
                      IF (B(J,L).NE.ZERO) THEN
                          TEMP = ALPHA*B(J,L)
                          DO 150 I = 1,M
                              C(I,J) = C(I,J) + TEMP*A(I,L)
  150                     CONTINUE
                      END IF
  160             CONTINUE
  170         CONTINUE
          ELSE
*
*           Form  C := alpha*A'*B' + beta*C
*
              DO 200 J = 1,N
                  DO 190 I = 1,M
                      TEMP = ZERO
                      DO 180 L = 1,K
                          TEMP = TEMP + A(L,I)*B(J,L)
  180                 CONTINUE
                      IF (BETA.EQ.ZERO) THEN
                          C(I,J) = ALPHA*TEMP
                      ELSE
                          C(I,J) = ALPHA*TEMP + BETA*C(I,J)
                      END IF
  190             CONTINUE
  200         CONTINUE
          END IF
      END IF
*
      RETURN
*
*     End of DGEMM .
*
      END

      SUBROUTINE DGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
*     .. Scalar Arguments ..
      DOUBLE PRECISION ALPHA,BETA
      INTEGER INCX,INCY,LDA,M,N
      CHARACTER TRANS
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),X(*),Y(*)
*     ..
*
*  Purpose
*  =======
*
*  DGEMV  performs one of the matrix-vector operations
*
*     y := alpha*A*x + beta*y,   or   y := alpha*A'*x + beta*y,
*
*  where alpha and beta are scalars, x and y are vectors and A is an
*  m by n matrix.
*
*  Arguments
*  ==========
*
*  TRANS  - CHARACTER*1.
*           On entry, TRANS specifies the operation to be performed as
*           follows:
*
*              TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.
*
*              TRANS = 'T' or 't'   y := alpha*A'*x + beta*y.
*
*              TRANS = 'C' or 'c'   y := alpha*A'*x + beta*y.
*
*           Unchanged on exit.
*
*  M      - INTEGER.
*           On entry, M specifies the number of rows of the matrix A.
*           M must be at least zero.
*           Unchanged on exit.
*
*  N      - INTEGER.
*           On entry, N specifies the number of columns of the matrix A.
*           N must be at least zero.
*           Unchanged on exit.
*
*  ALPHA  - DOUBLE PRECISION.
*           On entry, ALPHA specifies the scalar alpha.
*           Unchanged on exit.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
*           Before entry, the leading m by n part of the array A must
*           contain the matrix of coefficients.
*           Unchanged on exit.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program. LDA must be at least
*           max( 1, m ).
*           Unchanged on exit.
*
*  X      - DOUBLE PRECISION array of DIMENSION at least
*           ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
*           and at least
*           ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
*           Before entry, the incremented array X must contain the
*           vector x.
*           Unchanged on exit.
*
*  INCX   - INTEGER.
*           On entry, INCX specifies the increment for the elements of
*           X. INCX must not be zero.
*           Unchanged on exit.
*
*  BETA   - DOUBLE PRECISION.
*           On entry, BETA specifies the scalar beta. When BETA is
*           supplied as zero then Y need not be set on input.
*           Unchanged on exit.
*
*  Y      - DOUBLE PRECISION array of DIMENSION at least
*           ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
*           and at least
*           ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
*           Before entry with BETA non-zero, the incremented array Y
*           must contain the vector y. On exit, Y is overwritten by the
*           updated vector y.
*
*  INCY   - INTEGER.
*           On entry, INCY specifies the increment for the elements of
*           Y. INCY 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 ONE,ZERO
      PARAMETER (ONE=1.0D+0,ZERO=0.0D+0)
*     ..
*     .. Local Scalars ..
      DOUBLE PRECISION TEMP
      INTEGER I,INFO,IX,IY,J,JX,JY,KX,KY,LENX,LENY
*     ..
*     .. External Functions ..
      LOGICAL LSAME
      EXTERNAL LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX
*     ..
*
*     Test the input parameters.
*
      INFO = 0
      IF (.NOT.LSAME(TRANS,'N') .AND. .NOT.LSAME(TRANS,'T') .AND.
     +    .NOT.LSAME(TRANS,'C')) THEN
          INFO = 1
      ELSE IF (M.LT.0) THEN
          INFO = 2
      ELSE IF (N.LT.0) THEN
          INFO = 3
      ELSE IF (LDA.LT.MAX(1,M)) THEN
          INFO = 6
      ELSE IF (INCX.EQ.0) THEN
          INFO = 8
      ELSE IF (INCY.EQ.0) THEN
          INFO = 11
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DGEMV ',INFO)
          RETURN
      END IF
*
*     Quick return if possible.
*
      IF ((M.EQ.0) .OR. (N.EQ.0) .OR.
     +    ((ALPHA.EQ.ZERO).AND. (BETA.EQ.ONE))) RETURN
*
*     Set  LENX  and  LENY, the lengths of the vectors x and y, and set
*     up the start points in  X  and  Y.
*
      IF (LSAME(TRANS,'N')) THEN
          LENX = N
          LENY = M
      ELSE
          LENX = M
          LENY = N
      END IF
      IF (INCX.GT.0) THEN
          KX = 1
      ELSE
          KX = 1 - (LENX-1)*INCX
      END IF
      IF (INCY.GT.0) THEN
          KY = 1
      ELSE
          KY = 1 - (LENY-1)*INCY
      END IF
*
*     Start the operations. In this version the elements of A are
*     accessed sequentially with one pass through A.
*
*     First form  y := beta*y.
*
      IF (BETA.NE.ONE) THEN
          IF (INCY.EQ.1) THEN
              IF (BETA.EQ.ZERO) THEN
                  DO 10 I = 1,LENY
                      Y(I) = ZERO
   10             CONTINUE
              ELSE
                  DO 20 I = 1,LENY
                      Y(I) = BETA*Y(I)
   20             CONTINUE
              END IF
          ELSE
              IY = KY
              IF (BETA.EQ.ZERO) THEN
                  DO 30 I = 1,LENY
                      Y(IY) = ZERO
                      IY = IY + INCY
   30             CONTINUE
              ELSE
                  DO 40 I = 1,LENY
                      Y(IY) = BETA*Y(IY)
                      IY = IY + INCY
   40             CONTINUE
              END IF
          END IF
      END IF
      IF (ALPHA.EQ.ZERO) RETURN
      IF (LSAME(TRANS,'N')) THEN
*
*        Form  y := alpha*A*x + y.
*
          JX = KX
          IF (INCY.EQ.1) THEN
              DO 60 J = 1,N
                  IF (X(JX).NE.ZERO) THEN
                      TEMP = ALPHA*X(JX)
                      DO 50 I = 1,M
                          Y(I) = Y(I) + TEMP*A(I,J)
   50                 CONTINUE
                  END IF
                  JX = JX + INCX
   60         CONTINUE
          ELSE
              DO 80 J = 1,N
                  IF (X(JX).NE.ZERO) THEN
                      TEMP = ALPHA*X(JX)
                      IY = KY
                      DO 70 I = 1,M
                          Y(IY) = Y(IY) + TEMP*A(I,J)
                          IY = IY + INCY
   70                 CONTINUE
                  END IF
                  JX = JX + INCX
   80         CONTINUE
          END IF
      ELSE
*
*        Form  y := alpha*A'*x + y.
*
          JY = KY
          IF (INCX.EQ.1) THEN
              DO 100 J = 1,N
                  TEMP = ZERO
                  DO 90 I = 1,M
                      TEMP = TEMP + A(I,J)*X(I)
   90             CONTINUE
                  Y(JY) = Y(JY) + ALPHA*TEMP
                  JY = JY + INCY
  100         CONTINUE
          ELSE
              DO 120 J = 1,N
                  TEMP = ZERO
                  IX = KX
                  DO 110 I = 1,M
                      TEMP = TEMP + A(I,J)*X(IX)
                      IX = IX + INCX
  110             CONTINUE
                  Y(JY) = Y(JY) + ALPHA*TEMP
                  JY = JY + INCY
  120         CONTINUE
          END IF
      END IF
*
      RETURN
*
*     End of DGEMV .
*
      END

      SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
*     .. Scalar Arguments ..
      DOUBLE PRECISION ALPHA
      INTEGER INCX,INCY,LDA,M,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),X(*),Y(*)
*     ..
*
*  Purpose
*  =======
*
*  DGER   performs the rank 1 operation
*
*     A := alpha*x*y' + A,
*
*  where alpha is a scalar, x is an m element vector, y is an n element
*  vector and A is an m by n matrix.
*
*  Arguments
*  ==========
*
*  M      - INTEGER.
*           On entry, M specifies the number of rows of the matrix A.
*           M must be at least zero.
*           Unchanged on exit.
*
*  N      - INTEGER.
*           On entry, N specifies the number of columns of the matrix A.
*           N must be at least zero.
*           Unchanged on exit.
*
*  ALPHA  - DOUBLE PRECISION.
*           On entry, ALPHA specifies the scalar alpha.
*           Unchanged on exit.
*
*  X      - DOUBLE PRECISION array of dimension at least
*           ( 1 + ( m - 1 )*abs( INCX ) ).
*           Before entry, the incremented array X must contain the m
*           element vector x.
*           Unchanged on exit.
*
*  INCX   - INTEGER.
*           On entry, INCX specifies the increment for the elements of
*           X. INCX must not be zero.
*           Unchanged on exit.
*
*  Y      - DOUBLE PRECISION array of dimension at least
*           ( 1 + ( n - 1 )*abs( INCY ) ).
*           Before entry, the incremented array Y must contain the n
*           element vector y.
*           Unchanged on exit.
*
*  INCY   - INTEGER.
*           On entry, INCY specifies the increment for the elements of
*           Y. INCY must not be zero.
*           Unchanged on exit.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
*           Before entry, the leading m by n part of the array A must
*           contain the matrix of coefficients. On exit, A is
*           overwritten by the updated matrix.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program. LDA must be at least
*           max( 1, m ).
*           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,JY,KX
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX
*     ..
*
*     Test the input parameters.
*
      INFO = 0
      IF (M.LT.0) THEN
          INFO = 1
      ELSE IF (N.LT.0) THEN
          INFO = 2
      ELSE IF (INCX.EQ.0) THEN
          INFO = 5
      ELSE IF (INCY.EQ.0) THEN
          INFO = 7
      ELSE IF (LDA.LT.MAX(1,M)) THEN
          INFO = 9
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DGER  ',INFO)
          RETURN
      END IF
*
*     Quick return if possible.
*
      IF ((M.EQ.0) .OR. (N.EQ.0) .OR. (ALPHA.EQ.ZERO)) RETURN
*
*     Start the operations. In this version the elements of A are
*     accessed sequentially with one pass through A.
*
      IF (INCY.GT.0) THEN
          JY = 1
      ELSE
          JY = 1 - (N-1)*INCY
      END IF
      IF (INCX.EQ.1) THEN
          DO 20 J = 1,N
              IF (Y(JY).NE.ZERO) THEN
                  TEMP = ALPHA*Y(JY)
                  DO 10 I = 1,M
                      A(I,J) = A(I,J) + X(I)*TEMP
   10             CONTINUE
              END IF
              JY = JY + INCY
   20     CONTINUE
      ELSE
          IF (INCX.GT.0) THEN
              KX = 1
          ELSE
              KX = 1 - (M-1)*INCX
          END IF
          DO 40 J = 1,N
              IF (Y(JY).NE.ZERO) THEN
                  TEMP = ALPHA*Y(JY)
                  IX = KX
                  DO 30 I = 1,M
                      A(I,J) = A(I,J) + X(IX)*TEMP
                      IX = IX + INCX
   30             CONTINUE
              END IF
              JY = JY + INCY
   40     CONTINUE
      END IF
*
      RETURN
*
*     End of DGER  .
*
      END

      SUBROUTINE DSCAL(N,DA,DX,INCX)
*     .. Scalar Arguments ..
      DOUBLE PRECISION DA
      INTEGER INCX,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*)
*     ..
*
*  Purpose
*  =======
**
*     scales a vector by a constant.
*     uses unrolled loops for increment equal to one.
*     jack dongarra, linpack, 3/11/78.
*     modified 3/93 to return if incx .le. 0.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      INTEGER I,M,MP1,NINCX
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      IF (N.LE.0 .OR. INCX.LE.0) RETURN
      IF (INCX.EQ.1) GO TO 20
*
*        code for increment not equal to 1
*
      NINCX = N*INCX
      DO 10 I = 1,NINCX,INCX
          DX(I) = DA*DX(I)
   10 CONTINUE
      RETURN
*
*        code for increment equal to 1
*
*
*        clean-up loop
*
   20 M = MOD(N,5)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DX(I) = DA*DX(I)
   30 CONTINUE
      IF (N.LT.5) RETURN
   40 MP1 = M + 1
      DO 50 I = MP1,N,5
          DX(I) = DA*DX(I)
          DX(I+1) = DA*DX(I+1)
          DX(I+2) = DA*DX(I+2)
          DX(I+3) = DA*DX(I+3)
          DX(I+4) = DA*DX(I+4)
   50 CONTINUE
      RETURN
      END

      SUBROUTINE DSWAP(N,DX,INCX,DY,INCY)
*     .. Scalar Arguments ..
      INTEGER INCX,INCY,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*),DY(*)
*     ..
*
*  Purpose
*  =======
*
*     interchanges two vectors.
*     uses unrolled loops for increments equal one.
*     jack dongarra, linpack, 3/11/78.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      DOUBLE PRECISION DTEMP
      INTEGER I,IX,IY,M,MP1
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      IF (N.LE.0) RETURN
      IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
*
*       code for unequal increments or equal increments not equal
*         to 1
*
      IX = 1
      IY = 1
      IF (INCX.LT.0) IX = (-N+1)*INCX + 1
      IF (INCY.LT.0) IY = (-N+1)*INCY + 1
      DO 10 I = 1,N
          DTEMP = DX(IX)
          DX(IX) = DY(IY)
          DY(IY) = DTEMP
          IX = IX + INCX
          IY = IY + INCY
   10 CONTINUE
      RETURN
*
*       code for both increments equal to 1
*
*
*       clean-up loop
*
   20 M = MOD(N,3)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DTEMP = DX(I)
          DX(I) = DY(I)
          DY(I) = DTEMP
   30 CONTINUE
      IF (N.LT.3) RETURN
   40 MP1 = M + 1
      DO 50 I = MP1,N,3
          DTEMP = DX(I)
          DX(I) = DY(I)
          DY(I) = DTEMP
          DTEMP = DX(I+1)
          DX(I+1) = DY(I+1)
          DY(I+1) = DTEMP
          DTEMP = DX(I+2)
          DX(I+2) = DY(I+2)
          DY(I+2) = DTEMP
   50 CONTINUE
      RETURN
      END

      SUBROUTINE DTBSV(UPLO,TRANS,DIAG,N,K,A,LDA,X,INCX)
*     .. Scalar Arguments ..
      INTEGER INCX,K,LDA,N
      CHARACTER DIAG,TRANS,UPLO
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),X(*)
*     ..
*
*  Purpose
*  =======
*
*  DTBSV  solves one of the systems of equations
*
*     A*x = b,   or   A'*x = b,
*
*  where b and x are n element vectors and A is an n by n unit, or
*  non-unit, upper or lower triangular band matrix, with ( k + 1 )
*  diagonals.
*
*  No test for singularity or near-singularity is included in this
*  routine. Such tests must be performed before calling this routine.
*
*  Arguments
*  ==========
*
*  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 equations to be solved as
*           follows:
*
*              TRANS = 'N' or 'n'   A*x = b.
*
*              TRANS = 'T' or 't'   A'*x = b.
*
*              TRANS = 'C' or 'c'   A'*x = b.
*
*           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.
*
*  K      - INTEGER.
*           On entry with UPLO = 'U' or 'u', K specifies the number of
*           super-diagonals of the matrix A.
*           On entry with UPLO = 'L' or 'l', K specifies the number of
*           sub-diagonals of the matrix A.
*           K must satisfy  0 .le. K.
*           Unchanged on exit.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
*           Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
*           by n part of the array A must contain the upper triangular
*           band part of the matrix of coefficients, supplied column by
*           column, with the leading diagonal of the matrix in row
*           ( k + 1 ) of the array, the first super-diagonal starting at
*           position 2 in row k, and so on. The top left k by k triangle
*           of the array A is not referenced.
*           The following program segment will transfer an upper
*           triangular band matrix from conventional full matrix storage
*           to band storage:
*
*                 DO 20, J = 1, N
*                    M = K + 1 - J
*                    DO 10, I = MAX( 1, J - K ), J
*                       A( M + I, J ) = matrix( I, J )
*              10    CONTINUE
*              20 CONTINUE
*
*           Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
*           by n part of the array A must contain the lower triangular
*           band part of the matrix of coefficients, supplied column by
*           column, with the leading diagonal of the matrix in row 1 of
*           the array, the first sub-diagonal starting at position 1 in
*           row 2, and so on. The bottom right k by k triangle of the
*           array A is not referenced.
*           The following program segment will transfer a lower
*           triangular band matrix from conventional full matrix storage
*           to band storage:
*
*                 DO 20, J = 1, N
*                    M = 1 - J
*                    DO 10, I = J, MIN( N, J + K )
*                       A( M + I, J ) = matrix( I, J )
*              10    CONTINUE
*              20 CONTINUE
*
*           Note that when DIAG = 'U' or 'u' the elements of the array A
*           corresponding to the diagonal elements of the matrix are not
*           referenced, but are assumed to be unity.
*           Unchanged on exit.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program. LDA must be at least
*           ( k + 1 ).
*           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 right-hand side vector b. On exit, X is overwritten
*           with the solution 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,KPLUS1,KX,L
      LOGICAL NOUNIT
*     ..
*     .. External Functions ..
      LOGICAL LSAME
      EXTERNAL LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX,MIN
*     ..
*
*     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 (K.LT.0) THEN
          INFO = 5
      ELSE IF (LDA.LT. (K+1)) THEN
          INFO = 7
      ELSE IF (INCX.EQ.0) THEN
          INFO = 9
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DTBSV ',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 A are
*     accessed by sequentially with one pass through A.
*
      IF (LSAME(TRANS,'N')) THEN
*
*        Form  x := inv( A )*x.
*
          IF (LSAME(UPLO,'U')) THEN
              KPLUS1 = K + 1
              IF (INCX.EQ.1) THEN
                  DO 20 J = N,1,-1
                      IF (X(J).NE.ZERO) THEN
                          L = KPLUS1 - J
                          IF (NOUNIT) X(J) = X(J)/A(KPLUS1,J)
                          TEMP = X(J)
                          DO 10 I = J - 1,MAX(1,J-K),-1
                              X(I) = X(I) - TEMP*A(L+I,J)
   10                     CONTINUE
                      END IF
   20             CONTINUE
              ELSE
                  KX = KX + (N-1)*INCX
                  JX = KX
                  DO 40 J = N,1,-1
                      KX = KX - INCX
                      IF (X(JX).NE.ZERO) THEN
                          IX = KX
                          L = KPLUS1 - J
                          IF (NOUNIT) X(JX) = X(JX)/A(KPLUS1,J)
                          TEMP = X(JX)
                          DO 30 I = J - 1,MAX(1,J-K),-1
                              X(IX) = X(IX) - TEMP*A(L+I,J)
                              IX = IX - INCX
   30                     CONTINUE
                      END IF
                      JX = JX - INCX
   40             CONTINUE
              END IF
          ELSE
              IF (INCX.EQ.1) THEN
                  DO 60 J = 1,N
                      IF (X(J).NE.ZERO) THEN
                          L = 1 - J
                          IF (NOUNIT) X(J) = X(J)/A(1,J)
                          TEMP = X(J)
                          DO 50 I = J + 1,MIN(N,J+K)
                              X(I) = X(I) - TEMP*A(L+I,J)
   50                     CONTINUE
                      END IF
   60             CONTINUE
              ELSE
                  JX = KX
                  DO 80 J = 1,N
                      KX = KX + INCX
                      IF (X(JX).NE.ZERO) THEN
                          IX = KX
                          L = 1 - J
                          IF (NOUNIT) X(JX) = X(JX)/A(1,J)
                          TEMP = X(JX)
                          DO 70 I = J + 1,MIN(N,J+K)
                              X(IX) = X(IX) - TEMP*A(L+I,J)
                              IX = IX + INCX
   70                     CONTINUE
                      END IF
                      JX = JX + INCX
   80             CONTINUE
              END IF
          END IF
      ELSE
*
*        Form  x := inv( A')*x.
*
          IF (LSAME(UPLO,'U')) THEN
              KPLUS1 = K + 1
              IF (INCX.EQ.1) THEN
                  DO 100 J = 1,N
                      TEMP = X(J)
                      L = KPLUS1 - J
                      DO 90 I = MAX(1,J-K),J - 1
                          TEMP = TEMP - A(L+I,J)*X(I)
   90                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(KPLUS1,J)
                      X(J) = TEMP
  100             CONTINUE
              ELSE
                  JX = KX
                  DO 120 J = 1,N
                      TEMP = X(JX)
                      IX = KX
                      L = KPLUS1 - J
                      DO 110 I = MAX(1,J-K),J - 1
                          TEMP = TEMP - A(L+I,J)*X(IX)
                          IX = IX + INCX
  110                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(KPLUS1,J)
                      X(JX) = TEMP
                      JX = JX + INCX
                      IF (J.GT.K) KX = KX + INCX
  120             CONTINUE
              END IF
          ELSE
              IF (INCX.EQ.1) THEN
                  DO 140 J = N,1,-1
                      TEMP = X(J)
                      L = 1 - J
                      DO 130 I = MIN(N,J+K),J + 1,-1
                          TEMP = TEMP - A(L+I,J)*X(I)
  130                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(1,J)
                      X(J) = TEMP
  140             CONTINUE
              ELSE
                  KX = KX + (N-1)*INCX
                  JX = KX
                  DO 160 J = N,1,-1
                      TEMP = X(JX)
                      IX = KX
                      L = 1 - J
                      DO 150 I = MIN(N,J+K),J + 1,-1
                          TEMP = TEMP - A(L+I,J)*X(IX)
                          IX = IX - INCX
  150                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(1,J)
                      X(JX) = TEMP
                      JX = JX - INCX
                      IF ((N-J).GE.K) KX = KX - INCX
  160             CONTINUE
              END IF
          END IF
      END IF
*
      RETURN
*
*     End of DTBSV .
*
      END

      SUBROUTINE DTRSM(SIDE,UPLO,TRANSA,DIAG,M,N,ALPHA,A,LDA,B,LDB)
*     .. Scalar Arguments ..
      DOUBLE PRECISION ALPHA
      INTEGER LDA,LDB,M,N
      CHARACTER DIAG,SIDE,TRANSA,UPLO
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),B(LDB,*)
*     ..
*
*  Purpose
*  =======
*
*  DTRSM  solves one of the matrix equations
*
*     op( A )*X = alpha*B,   or   X*op( A ) = alpha*B,
*
*  where alpha is a scalar, X and B are m by n matrices, A is a unit, or
*  non-unit,  upper or lower triangular matrix  and  op( A )  is one  of
*
*     op( A ) = A   or   op( A ) = A'.
*
*  The matrix X is overwritten on B.
*
*  Arguments
*  ==========
*
*  SIDE   - CHARACTER*1.
*           On entry, SIDE specifies whether op( A ) appears on the left
*           or right of X as follows:
*
*              SIDE = 'L' or 'l'   op( A )*X = alpha*B.
*
*              SIDE = 'R' or 'r'   X*op( A ) = alpha*B.
*
*           Unchanged on exit.
*
*  UPLO   - CHARACTER*1.
*           On entry, UPLO specifies whether the matrix A 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.
*
*  TRANSA - CHARACTER*1.
*           On entry, TRANSA specifies the form of op( A ) to be used in
*           the matrix multiplication as follows:
*
*              TRANSA = 'N' or 'n'   op( A ) = A.
*
*              TRANSA = 'T' or 't'   op( A ) = A'.
*
*              TRANSA = 'C' or 'c'   op( A ) = A'.
*
*           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.
*
*  M      - INTEGER.
*           On entry, M specifies the number of rows of B. M must be at
*           least zero.
*           Unchanged on exit.
*
*  N      - INTEGER.
*           On entry, N specifies the number of columns of B.  N must be
*           at least zero.
*           Unchanged on exit.
*
*  ALPHA  - DOUBLE PRECISION.
*           On entry,  ALPHA specifies the scalar  alpha. When  alpha is
*           zero then  A is not referenced and  B need not be set before
*           entry.
*           Unchanged on exit.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, k ), where k is m
*           when  SIDE = 'L' or 'l'  and is  n  when  SIDE = 'R' or 'r'.
*           Before entry  with  UPLO = 'U' or 'u',  the  leading  k by k
*           upper triangular part of the array  A must contain the upper
*           triangular matrix  and the strictly lower triangular part of
*           A is not referenced.
*           Before entry  with  UPLO = 'L' or 'l',  the  leading  k by k
*           lower triangular part of the array  A must contain the lower
*           triangular matrix  and the strictly upper triangular part of
*           A is not referenced.
*           Note that when  DIAG = 'U' or 'u',  the diagonal elements of
*           A  are not referenced either,  but are assumed to be  unity.
*           Unchanged on exit.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program.  When  SIDE = 'L' or 'l'  then
*           LDA  must be at least  max( 1, m ),  when  SIDE = 'R' or 'r'
*           then LDA must be at least max( 1, n ).
*           Unchanged on exit.
*
*  B      - DOUBLE PRECISION array of DIMENSION ( LDB, n ).
*           Before entry,  the leading  m by n part of the array  B must
*           contain  the  right-hand  side  matrix  B,  and  on exit  is
*           overwritten by the solution matrix  X.
*
*  LDB    - INTEGER.
*           On entry, LDB specifies the first dimension of B as declared
*           in  the  calling  (sub)  program.   LDB  must  be  at  least
*           max( 1, m ).
*           Unchanged on exit.
*
*
*  Level 3 Blas routine.
*
*
*  -- Written on 8-February-1989.
*     Jack Dongarra, Argonne National Laboratory.
*     Iain Duff, AERE Harwell.
*     Jeremy Du Croz, Numerical Algorithms Group Ltd.
*     Sven Hammarling, Numerical Algorithms Group Ltd.
*
*
*     .. External Functions ..
      LOGICAL LSAME
      EXTERNAL LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX
*     ..
*     .. Local Scalars ..
      DOUBLE PRECISION TEMP
      INTEGER I,INFO,J,K,NROWA
      LOGICAL LSIDE,NOUNIT,UPPER
*     ..
*     .. Parameters ..
      DOUBLE PRECISION ONE,ZERO
      PARAMETER (ONE=1.0D+0,ZERO=0.0D+0)
*     ..
*
*     Test the input parameters.
*
      LSIDE = LSAME(SIDE,'L')
      IF (LSIDE) THEN
          NROWA = M
      ELSE
          NROWA = N
      END IF
      NOUNIT = LSAME(DIAG,'N')
      UPPER = LSAME(UPLO,'U')
*
      INFO = 0
      IF ((.NOT.LSIDE) .AND. (.NOT.LSAME(SIDE,'R'))) THEN
          INFO = 1
      ELSE IF ((.NOT.UPPER) .AND. (.NOT.LSAME(UPLO,'L'))) THEN
          INFO = 2
      ELSE IF ((.NOT.LSAME(TRANSA,'N')) .AND.
     +         (.NOT.LSAME(TRANSA,'T')) .AND.
     +         (.NOT.LSAME(TRANSA,'C'))) THEN
          INFO = 3
      ELSE IF ((.NOT.LSAME(DIAG,'U')) .AND. (.NOT.LSAME(DIAG,'N'))) THEN
          INFO = 4
      ELSE IF (M.LT.0) THEN
          INFO = 5
      ELSE IF (N.LT.0) THEN
          INFO = 6
      ELSE IF (LDA.LT.MAX(1,NROWA)) THEN
          INFO = 9
      ELSE IF (LDB.LT.MAX(1,M)) THEN
          INFO = 11
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DTRSM ',INFO)
          RETURN
      END IF
*
*     Quick return if possible.
*
      IF (N.EQ.0) RETURN
*
*     And when  alpha.eq.zero.
*
      IF (ALPHA.EQ.ZERO) THEN
          DO 20 J = 1,N
              DO 10 I = 1,M
                  B(I,J) = ZERO
   10         CONTINUE
   20     CONTINUE
          RETURN
      END IF
*
*     Start the operations.
*
      IF (LSIDE) THEN
          IF (LSAME(TRANSA,'N')) THEN
*
*           Form  B := alpha*inv( A )*B.
*
              IF (UPPER) THEN
                  DO 60 J = 1,N
                      IF (ALPHA.NE.ONE) THEN
                          DO 30 I = 1,M
                              B(I,J) = ALPHA*B(I,J)
   30                     CONTINUE
                      END IF
                      DO 50 K = M,1,-1
                          IF (B(K,J).NE.ZERO) THEN
                              IF (NOUNIT) B(K,J) = B(K,J)/A(K,K)
                              DO 40 I = 1,K - 1
                                  B(I,J) = B(I,J) - B(K,J)*A(I,K)
   40                         CONTINUE
                          END IF
   50                 CONTINUE
   60             CONTINUE
              ELSE
                  DO 100 J = 1,N
                      IF (ALPHA.NE.ONE) THEN
                          DO 70 I = 1,M
                              B(I,J) = ALPHA*B(I,J)
   70                     CONTINUE
                      END IF
                      DO 90 K = 1,M
                          IF (B(K,J).NE.ZERO) THEN
                              IF (NOUNIT) B(K,J) = B(K,J)/A(K,K)
                              DO 80 I = K + 1,M
                                  B(I,J) = B(I,J) - B(K,J)*A(I,K)
   80                         CONTINUE
                          END IF
   90                 CONTINUE
  100             CONTINUE
              END IF
          ELSE
*
*           Form  B := alpha*inv( A' )*B.
*
              IF (UPPER) THEN
                  DO 130 J = 1,N
                      DO 120 I = 1,M
                          TEMP = ALPHA*B(I,J)
                          DO 110 K = 1,I - 1
                              TEMP = TEMP - A(K,I)*B(K,J)
  110                     CONTINUE
                          IF (NOUNIT) TEMP = TEMP/A(I,I)
                          B(I,J) = TEMP
  120                 CONTINUE
  130             CONTINUE
              ELSE
                  DO 160 J = 1,N
                      DO 150 I = M,1,-1
                          TEMP = ALPHA*B(I,J)
                          DO 140 K = I + 1,M
                              TEMP = TEMP - A(K,I)*B(K,J)
  140                     CONTINUE
                          IF (NOUNIT) TEMP = TEMP/A(I,I)
                          B(I,J) = TEMP
  150                 CONTINUE
  160             CONTINUE
              END IF
          END IF
      ELSE
          IF (LSAME(TRANSA,'N')) THEN
*
*           Form  B := alpha*B*inv( A ).
*
              IF (UPPER) THEN
                  DO 210 J = 1,N
                      IF (ALPHA.NE.ONE) THEN
                          DO 170 I = 1,M
                              B(I,J) = ALPHA*B(I,J)
  170                     CONTINUE
                      END IF
                      DO 190 K = 1,J - 1
                          IF (A(K,J).NE.ZERO) THEN
                              DO 180 I = 1,M
                                  B(I,J) = B(I,J) - A(K,J)*B(I,K)
  180                         CONTINUE
                          END IF
  190                 CONTINUE
                      IF (NOUNIT) THEN
                          TEMP = ONE/A(J,J)
                          DO 200 I = 1,M
                              B(I,J) = TEMP*B(I,J)
  200                     CONTINUE
                      END IF
  210             CONTINUE
              ELSE
                  DO 260 J = N,1,-1
                      IF (ALPHA.NE.ONE) THEN
                          DO 220 I = 1,M
                              B(I,J) = ALPHA*B(I,J)
  220                     CONTINUE
                      END IF
                      DO 240 K = J + 1,N
                          IF (A(K,J).NE.ZERO) THEN
                              DO 230 I = 1,M
                                  B(I,J) = B(I,J) - A(K,J)*B(I,K)
  230                         CONTINUE
                          END IF
  240                 CONTINUE
                      IF (NOUNIT) THEN
                          TEMP = ONE/A(J,J)
                          DO 250 I = 1,M
                              B(I,J) = TEMP*B(I,J)
  250                     CONTINUE
                      END IF
  260             CONTINUE
              END IF
          ELSE
*
*           Form  B := alpha*B*inv( A' ).
*
              IF (UPPER) THEN
                  DO 310 K = N,1,-1
                      IF (NOUNIT) THEN
                          TEMP = ONE/A(K,K)
                          DO 270 I = 1,M
                              B(I,K) = TEMP*B(I,K)
  270                     CONTINUE
                      END IF
                      DO 290 J = 1,K - 1
                          IF (A(J,K).NE.ZERO) THEN
                              TEMP = A(J,K)
                              DO 280 I = 1,M
                                  B(I,J) = B(I,J) - TEMP*B(I,K)
  280                         CONTINUE
                          END IF
  290                 CONTINUE
                      IF (ALPHA.NE.ONE) THEN
                          DO 300 I = 1,M
                              B(I,K) = ALPHA*B(I,K)
  300                     CONTINUE
                      END IF
  310             CONTINUE
              ELSE
                  DO 360 K = 1,N
                      IF (NOUNIT) THEN
                          TEMP = ONE/A(K,K)
                          DO 320 I = 1,M
                              B(I,K) = TEMP*B(I,K)
  320                     CONTINUE
                      END IF
                      DO 340 J = K + 1,N
                          IF (A(J,K).NE.ZERO) THEN
                              TEMP = A(J,K)
                              DO 330 I = 1,M
                                  B(I,J) = B(I,J) - TEMP*B(I,K)
  330                         CONTINUE
                          END IF
  340                 CONTINUE
                      IF (ALPHA.NE.ONE) THEN
                          DO 350 I = 1,M
                              B(I,K) = ALPHA*B(I,K)
  350                     CONTINUE
                      END IF
  360             CONTINUE
              END IF
          END IF
      END IF
*
      RETURN
*
*     End of DTRSM .
*
      END

      SUBROUTINE DTRSV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)
*     .. Scalar Arguments ..
      INTEGER INCX,LDA,N
      CHARACTER DIAG,TRANS,UPLO
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),X(*)
*     ..
*
*  Purpose
*  =======
*
*  DTRSV  solves one of the systems of equations
*
*     A*x = b,   or   A'*x = b,
*
*  where b and x are n element vectors and A is an n by n unit, or
*  non-unit, upper or lower triangular matrix.
*
*  No test for singularity or near-singularity is included in this
*  routine. Such tests must be performed before calling this routine.
*
*  Arguments
*  ==========
*
*  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 equations to be solved as
*           follows:
*
*              TRANS = 'N' or 'n'   A*x = b.
*
*              TRANS = 'T' or 't'   A'*x = b.
*
*              TRANS = 'C' or 'c'   A'*x = b.
*
*           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.
*
*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
*           Before entry with  UPLO = 'U' or 'u', the leading n by n
*           upper triangular part of the array A must contain the upper
*           triangular matrix and the strictly lower triangular part of
*           A is not referenced.
*           Before entry with UPLO = 'L' or 'l', the leading n by n
*           lower triangular part of the array A must contain the lower
*           triangular matrix and the strictly upper triangular part of
*           A is not referenced.
*           Note that when  DIAG = 'U' or 'u', the diagonal elements of
*           A are not referenced either, but are assumed to be unity.
*           Unchanged on exit.
*
*  LDA    - INTEGER.
*           On entry, LDA specifies the first dimension of A as declared
*           in the calling (sub) program. LDA must be at least
*           max( 1, n ).
*           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 right-hand side vector b. On exit, X is overwritten
*           with the solution 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,KX
      LOGICAL NOUNIT
*     ..
*     .. External Functions ..
      LOGICAL LSAME
      EXTERNAL LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL XERBLA
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MAX
*     ..
*
*     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 (LDA.LT.MAX(1,N)) THEN
          INFO = 6
      ELSE IF (INCX.EQ.0) THEN
          INFO = 8
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DTRSV ',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 A are
*     accessed sequentially with one pass through A.
*
      IF (LSAME(TRANS,'N')) THEN
*
*        Form  x := inv( A )*x.
*
          IF (LSAME(UPLO,'U')) THEN
              IF (INCX.EQ.1) THEN
                  DO 20 J = N,1,-1
                      IF (X(J).NE.ZERO) THEN
                          IF (NOUNIT) X(J) = X(J)/A(J,J)
                          TEMP = X(J)
                          DO 10 I = J - 1,1,-1
                              X(I) = X(I) - TEMP*A(I,J)
   10                     CONTINUE
                      END IF
   20             CONTINUE
              ELSE
                  JX = KX + (N-1)*INCX
                  DO 40 J = N,1,-1
                      IF (X(JX).NE.ZERO) THEN
                          IF (NOUNIT) X(JX) = X(JX)/A(J,J)
                          TEMP = X(JX)
                          IX = JX
                          DO 30 I = J - 1,1,-1
                              IX = IX - INCX
                              X(IX) = X(IX) - TEMP*A(I,J)
   30                     CONTINUE
                      END IF
                      JX = JX - INCX
   40             CONTINUE
              END IF
          ELSE
              IF (INCX.EQ.1) THEN
                  DO 60 J = 1,N
                      IF (X(J).NE.ZERO) THEN
                          IF (NOUNIT) X(J) = X(J)/A(J,J)
                          TEMP = X(J)
                          DO 50 I = J + 1,N
                              X(I) = X(I) - TEMP*A(I,J)
   50                     CONTINUE
                      END IF
   60             CONTINUE
              ELSE
                  JX = KX
                  DO 80 J = 1,N
                      IF (X(JX).NE.ZERO) THEN
                          IF (NOUNIT) X(JX) = X(JX)/A(J,J)
                          TEMP = X(JX)
                          IX = JX
                          DO 70 I = J + 1,N
                              IX = IX + INCX
                              X(IX) = X(IX) - TEMP*A(I,J)
   70                     CONTINUE
                      END IF
                      JX = JX + INCX
   80             CONTINUE
              END IF
          END IF
      ELSE
*
*        Form  x := inv( A' )*x.
*
          IF (LSAME(UPLO,'U')) THEN
              IF (INCX.EQ.1) THEN
                  DO 100 J = 1,N
                      TEMP = X(J)
                      DO 90 I = 1,J - 1
                          TEMP = TEMP - A(I,J)*X(I)
   90                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(J,J)
                      X(J) = TEMP
  100             CONTINUE
              ELSE
                  JX = KX
                  DO 120 J = 1,N
                      TEMP = X(JX)
                      IX = KX
                      DO 110 I = 1,J - 1
                          TEMP = TEMP - A(I,J)*X(IX)
                          IX = IX + INCX
  110                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(J,J)
                      X(JX) = TEMP
                      JX = JX + INCX
  120             CONTINUE
              END IF
          ELSE
              IF (INCX.EQ.1) THEN
                  DO 140 J = N,1,-1
                      TEMP = X(J)
                      DO 130 I = N,J + 1,-1
                          TEMP = TEMP - A(I,J)*X(I)
  130                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(J,J)
                      X(J) = TEMP
  140             CONTINUE
              ELSE
                  KX = KX + (N-1)*INCX
                  JX = KX
                  DO 160 J = N,1,-1
                      TEMP = X(JX)
                      IX = KX
                      DO 150 I = N,J + 1,-1
                          TEMP = TEMP - A(I,J)*X(IX)
                          IX = IX - INCX
  150                 CONTINUE
                      IF (NOUNIT) TEMP = TEMP/A(J,J)
                      X(JX) = TEMP
                      JX = JX - INCX
  160             CONTINUE
              END IF
          END IF
      END IF
*
      RETURN
*
*     End of DTRSV .
*
      END

      DOUBLE PRECISION FUNCTION DASUM(N,DX,INCX)
*     .. Scalar Arguments ..
      INTEGER INCX,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*)
*     ..
*
*  Purpose
*  =======
*
*     takes the sum of the absolute values.
*     jack dongarra, linpack, 3/11/78.
*     modified 3/93 to return if incx .le. 0.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      DOUBLE PRECISION DTEMP
      INTEGER I,M,MP1,NINCX
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC DABS,MOD
*     ..
      DASUM = 0.0d0
      DTEMP = 0.0d0
      IF (N.LE.0 .OR. INCX.LE.0) RETURN
      IF (INCX.EQ.1) GO TO 20
*
*        code for increment not equal to 1
*
      NINCX = N*INCX
      DO 10 I = 1,NINCX,INCX
          DTEMP = DTEMP + DABS(DX(I))
   10 CONTINUE
      DASUM = DTEMP
      RETURN
*
*        code for increment equal to 1
*
*
*        clean-up loop
*
   20 M = MOD(N,6)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DTEMP = DTEMP + DABS(DX(I))
   30 CONTINUE
      IF (N.LT.6) GO TO 60
   40 MP1 = M + 1
      DO 50 I = MP1,N,6
          DTEMP = DTEMP + DABS(DX(I)) + DABS(DX(I+1)) + DABS(DX(I+2)) +
     +            DABS(DX(I+3)) + DABS(DX(I+4)) + DABS(DX(I+5))
   50 CONTINUE
   60 DASUM = DTEMP
      RETURN
      END

      DOUBLE PRECISION FUNCTION DDOT(N,DX,INCX,DY,INCY)
*     .. Scalar Arguments ..
      INTEGER INCX,INCY,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*),DY(*)
*     ..
*
*  Purpose
*  =======
*
*     forms the dot product of two vectors.
*     uses unrolled loops for increments equal to one.
*     jack dongarra, linpack, 3/11/78.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      DOUBLE PRECISION DTEMP
      INTEGER I,IX,IY,M,MP1
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      DDOT = 0.0d0
      DTEMP = 0.0d0
      IF (N.LE.0) RETURN
      IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
*
*        code for unequal increments or equal increments
*          not equal to 1
*
      IX = 1
      IY = 1
      IF (INCX.LT.0) IX = (-N+1)*INCX + 1
      IF (INCY.LT.0) IY = (-N+1)*INCY + 1
      DO 10 I = 1,N
          DTEMP = DTEMP + DX(IX)*DY(IY)
          IX = IX + INCX
          IY = IY + INCY
   10 CONTINUE
      DDOT = DTEMP
      RETURN
*
*        code for both increments equal to 1
*
*
*        clean-up loop
*
   20 M = MOD(N,5)
      IF (M.EQ.0) GO TO 40
      DO 30 I = 1,M
          DTEMP = DTEMP + DX(I)*DY(I)
   30 CONTINUE
      IF (N.LT.5) GO TO 60
   40 MP1 = M + 1
      DO 50 I = MP1,N,5
          DTEMP = DTEMP + DX(I)*DY(I) + DX(I+1)*DY(I+1) +
     +            DX(I+2)*DY(I+2) + DX(I+3)*DY(I+3) + DX(I+4)*DY(I+4)
   50 CONTINUE
   60 DDOT = DTEMP
      RETURN
      END

      INTEGER FUNCTION IDAMAX(N,DX,INCX)
*     .. Scalar Arguments ..
      INTEGER INCX,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*)
*     ..
*
*  Purpose
*  =======
*
*     finds the index of element having max. absolute value.
*     jack dongarra, linpack, 3/11/78.
*     modified 3/93 to return if incx .le. 0.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      DOUBLE PRECISION DMAX
      INTEGER I,IX
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC DABS
*     ..
      IDAMAX = 0
      IF (N.LT.1 .OR. INCX.LE.0) RETURN
      IDAMAX = 1
      IF (N.EQ.1) RETURN
      IF (INCX.EQ.1) GO TO 20
*
*        code for increment not equal to 1
*
      IX = 1
      DMAX = DABS(DX(1))
      IX = IX + INCX
      DO 10 I = 2,N
          IF (DABS(DX(IX)).LE.DMAX) GO TO 5
          IDAMAX = I
          DMAX = DABS(DX(IX))
    5     IX = IX + INCX
   10 CONTINUE
      RETURN
*
*        code for increment equal to 1
*
   20 DMAX = DABS(DX(1))
      DO 30 I = 2,N
          IF (DABS(DX(I)).LE.DMAX) GO TO 30
          IDAMAX = I
          DMAX = DABS(DX(I))
   30 CONTINUE
      RETURN
      END

      SUBROUTINE DROT(N,DX,INCX,DY,INCY,C,S)
*     .. Scalar Arguments ..
      DOUBLE PRECISION C,S
      INTEGER INCX,INCY,N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION DX(*),DY(*)
*     ..
*
*  Purpose
*  =======
*
*     applies a plane rotation.
*     jack dongarra, linpack, 3/11/78.
*     modified 12/3/93, array(1) declarations changed to array(*)
*
*
*     .. Local Scalars ..
      DOUBLE PRECISION DTEMP
      INTEGER I,IX,IY
*     ..
      IF (N.LE.0) RETURN
      IF (INCX.EQ.1 .AND. INCY.EQ.1) GO TO 20
*
*       code for unequal increments or equal increments not equal
*         to 1
*
      IX = 1
      IY = 1
      IF (INCX.LT.0) IX = (-N+1)*INCX + 1
      IF (INCY.LT.0) IY = (-N+1)*INCY + 1
      DO 10 I = 1,N
          DTEMP = C*DX(IX) + S*DY(IY)
          DY(IY) = C*DY(IY) - S*DX(IX)
          DX(IX) = DTEMP
          IX = IX + INCX
          IY = IY + INCY
   10 CONTINUE
      RETURN
*
*       code for both increments equal to 1
*
   20 DO 30 I = 1,N
          DTEMP = C*DX(I) + S*DY(I)
          DY(I) = C*DY(I) - S*DX(I)
          DX(I) = DTEMP
   30 CONTINUE
      RETURN
      END


C **********************************************************************
C *                                                                    *
C * TEST.FOR                                                           *
C *                                                                    *
C **********************************************************************
C
C AS FUNCTIONS GET ADDED TO APU.MAC, THIS FILE WILL BE UPDATED WITH
C TESTS.
C
      INTEGER I, J, K, L
      INTEGER*4 LL, KK, JJ, II
      REAL R, S, T
C
C INTEGER * INTEGER
      I = 10
      J = 3
      K = I * J
C INTEGER / INTEGER
      L = K / I
C FORCE DZ ERROR
C     J = 0
C     L = I / J
C INTEGER*4 / INTEGER
      LL = 33
      J = 3
      KK = LL / J
      WRITE(1,302) K, L, KK
302   FORMAT(1X,'K,L,KK = ',3I6)
C INTEGER4 * INTEGER
      LL = 11
      J = 3
      KK = LL * 3
      WRITE(1,303) KK
303   FORMAT(1X,'KK =',I6)
C INTEGER*4 * INTEGER*4
      LL = 10
      KK = 5
      JJ = LL * KK
      WRITE(1,304) JJ
304   FORMAT(1X,'JJ = ',I6)
C INTEGER*4 / INTEGER*4
      JJ = LL / KK
      WRITE(1,304) JJ
C REAL - REAL
      I = 1
      R = I
      I = 2
      S = I
      T = R - S
      WRITE(1,305) T
305   FORMAT(1X,'T =',F10.6)
C REAL + REAL
      T = T + S
      WRITE(1,305) T
C REAL * REAL
      T = S * S
      WRITE(1,305) T
C REAL / REAL
      T = T / S
      WRITE(1,305) T
C REAL ** REAL
      I = 2
      R = I
      I = 3
      S = I
      T = R ** S
      WRITE(1,305) T
C
C MIXED MODE TESTS, REAL-INTEGER
C
306   FORMAT(' RI')
      WRITE(1,306)
      I = 2
      T = S - I
      WRITE(1,305) T
      T = I - S
      WRITE(1,305) T
      I = 2
      S = 3
      T = S * I
      WRITE(1,305) T
      I = 4
      T = I * S
      WRITE(1,305) T
      T = S + I
      WRITE(1,305) T
      T = I + S
      WRITE(1,305) T
      T = S / I
      WRITE(1,305) T
      T = I / S
      WRITE(1,305) T
C
C MIXED MODE TESTS, REAL-INTEGER*4
C
307   FORMAT(' RI4')
      WRITE(1,307)
      II = 2
      T = S - II
      WRITE(1,305) T
      T = II - S
      WRITE(1,305) T
      II = 2
      S = 3
      T = S * II
      WRITE(1,305) T
      II = 4
      T = I * S
      WRITE(1,305) T
      T = S + II
      WRITE(1,305) T
      T = II + S
      WRITE(1,305) T
      T = S / II
      WRITE(1,305) T
      T = II / S
      WRITE(1,305) T
      R = 0.5
      T = SIN(R)
      WRITE(1,305) T
      STOP
      END