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brown badly scaled functionmore,

Found at: ftp.icm.edu.pl:70/packages/netlib/uncon/data/badscb.f

*****************************************************************************
*               brown badly scaled function
* more, garbow, and hillstrom, acm toms vol. 7 no. 1 (march 1981) 17-41
*****************************************************************************

		
      subroutine getfun( x, n, f, m, ftf, fj, lfj, g, mode)

		
      implicit double precision (a-h,o-z)

		
      integer            n, m, lfj, mode

		
      double precision   x(n), f(m), ftf, fj(lfj,n), g(m)

		
      integer            nprob, nprobs, nstart, nstrts
      common /PROBLM/    nprob, nprobs, nstart, nstrts

		
      integer            nout
      common /IOUNIT/    nout

		
      logical            lf, lj

		
      integer            na, nb, nc, nd, nt, nh

		
      integer            j

		
      double precision   x1, x2

		
      double precision   ddot

		
      double precision   zero, one, two
      parameter         (zero = 0.d0, one = 1.d0, two = 2.d0)

		
*=======================================================================

		
      if (mode .eq.  0)  goto    20
      if (mode .eq. -1)  goto    10
      if (mode .eq. -2)  goto    30

		
      x1 = x(1)
      x2 = x(2)

		
      na = mode / 1000
      nt = mode - na*1000
      nb = nt / 100
      nh = nt - nb*100
      nc = nh / 10
      nd = nh - nc*10

		
      lf = (na .ne. 0) .or. (nb .ne. 0) .or. (nd .ne. 0)
      lj = (nc .ne. 0) .or. (nd .ne. 0)

		
      if (lf .and. lj)  goto 300
      if (lf)           goto 100
      if (lj)           goto 200

		
*-----------------------------------------------------------------------

		
   10 continue

		
      nprobs = 1
      nstrts = 1

		
      n      = 2
      m      = 3

		
      if (nout .gt. 0)  write( nout, 9999) n, m

		
      return

		
*-----------------------------------------------------------------------

		
   20 continue

		
      x(1) =  1.d0
      x(2) =  1.d0

		
      return

		
*-----------------------------------------------------------------------

		
   30 continue

		
      x(1) =  1.d6
      x(2) =  2.d-6

		
      ftf = zero

		
      return

		
*-----------------------------------------------------------------------

		
 100  continue

		
      f(1) =  x1 - 1.d6
      f(2) =  x2 - 2.d-6
      f(3) =  x1*x2 - two

		
      if (nb .ne. 0)  ftf = ddot( m, f, 1, f, 1)

		
      return

		
 200  continue

		
      fj( 1, 1) = one
      fj( 1, 2) = zero
      fj( 2, 1) = one
      fj( 2, 2) = one
      fj( 3, 1) = x2
      fj( 3, 2) = x1

		
      return

		
 300  continue

		
      f(1) =  x1 - 1.d6
      f(2) =  x2 - 2.d-6
      f(3) =  x1*x2 - two

		
      fj( 1, 1) = one
      fj( 1, 2) = zero
      fj( 2, 1) = zero
      fj( 2, 2) = one
      fj( 3, 1) = x2
      fj( 3, 2) = x1

		
      if (nb .ne. 0)  ftf = ddot( m, f, 1, f, 1)

		
      if (nd .eq. 0)  return

		
      do 310 j = 1, n
        g(j) = ddot( m, fj( 1, j), 1, f, 1)
 310  continue

		
      return

		
9999  format(/'1',70('=')//,
     *' brown badly scaled function (more et al.)'//,
     *'        number of variables =', i4, '  (2)'/,
     *'        number of functions =', i4, '  (3)'//,
     *        ' ',70('=')/)
      end

		
************************************************************************
************************************************************************

		
      subroutine dfjdxk( k, x, n, dfj, ldfj, m, nonzro)

		
      implicit double precision (a-h,o-z)

		
      integer            k, n, ldfj, m, nonzro(n)

		
      double precision   x(n), dfj(ldfj,n)

		
      double precision   zero, one
      parameter         (zero = 0.d0, one = 1.d0)

		
*=======================================================================

		
      goto ( 210, 220), k

		
 210  continue

		
      nonzro(1) = 0
      nonzro(2) = 1

		
      dfj( 1, 1) = zero
      dfj( 1, 2) = zero
      dfj( 2, 1) = zero
      dfj( 2, 2) = zero
      dfj( 3, 1) = zero
      dfj( 3, 2) = one

		
      return

		
 220  continue

		
      nonzro(1) = 1
      nonzro(2) = 0

		
      dfj( 1, 1) = zero
      dfj( 1, 2) = zero
      dfj( 2, 1) = zero
      dfj( 2, 2) = zero
      dfj( 3, 1) = one
      dfj( 3, 2) = zero

		
      return

		
      end

		
************************************************************************
************************************************************************

		
      subroutine dfkdij( k, x, n, hess, lhess, linear)

		
      implicit double precision (a-h,o-z)

		
      logical            linear

		
      integer            k, n, lhess

		
      double precision   x(n), hess(lhess,n)

		
      double precision   zero, one
      parameter         (zero = 0.d0, one = 1.d0)

		
*=======================================================================

		
      goto ( 210, 220, 230), k

		
 210  continue

		
      linear = .true.

		
      hess( 1, 1) = zero
      hess( 1, 2) = zero
      hess( 2, 1) = zero
      hess( 2, 2) = zero

		
      return

		
 220  continue

		
      linear = .true.

		
      hess( 1, 1) = zero
      hess( 1, 2) = zero
      hess( 2, 1) = zero
      hess( 2, 2) = zero

		
      return

		
 230  continue

		
      linear = .false.

		
      hess( 1, 1) = zero
      hess( 1, 2) = one
      hess( 2, 1) = one
      hess( 2, 2) = zero

		
      return

		
      end

		
.


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