*************************************************************************** * wood 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(n) 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, x3, x4 double precision ddot double precision zero, one, two, ten, twenty parameter (zero = 0.d0, one = 1.d0, two = 2.d0) parameter (ten = 10.d0, twenty = 20.d0) double precision rt10, r10inv, rt90 common /PARAM1/ rt10, r10inv, rt90 save /PARAM1/ c parameter (rt10 = 3.1622776601683795d0) c parameter (r10inv = .31622776601683794d0) c parameter (rt90 = 9.4868329805051381d0) *======================================================================= if (mode .eq. 0) goto 20 if (mode .eq. -1) goto 10 if (mode .eq. -2) goto 30 x1 = x(1) x2 = x(2) x3 = x(3) x4 = x(4) 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 = 4 m = 6 rt10 = sqrt(10.d0) r10inv = 1.d0 / rt10 rt90 = sqrt(90.d0) if (nout .gt. 0) write( nout, 9999) n, m return *----------------------------------------------------------------------- 20 continue x(1) = -3.d0 x(2) = -1.d0 x(3) = -3.d0 x(4) = -1.d0 return *----------------------------------------------------------------------- 30 continue x(1) = 1.d0 x(2) = 1.d0 x(3) = 1.d0 x(4) = 1.d0 ftf = zero return *----------------------------------------------------------------------- 100 continue f(1) = ten*(x2 - x1*x1) f(2) = one - x1 f(3) = rt90*(x4 - x3*x3) f(4) = one - x3 f(5) = rt10*(x2 + x4 - two) f(6) = r10inv*(x2 - x4) if (nb .ne. 0) ftf = ddot( m, f, 1, f, 1) return 200 continue fj( 1, 1) = -twenty*x1 fj( 1, 2) = ten fj( 1, 3) = zero fj( 1, 4) = zero fj( 2, 1) = -one fj( 2, 2) = zero fj( 2, 3) = zero fj( 2, 4) = zero fj( 3, 1) = zero fj( 3, 2) = zero fj( 3, 3) = -two*rt90*x3 fj( 3, 4) = rt90 fj( 4, 1) = zero fj( 4, 2) = zero fj( 4, 3) = -one fj( 4, 4) = zero fj( 5, 1) = zero fj( 5, 2) = rt10 fj( 5, 3) = zero fj( 5, 4) = rt10 fj( 6, 1) = zero fj( 6, 2) = r10inv fj( 6, 3) = zero fj( 6, 4) = -r10inv return 300 continue f(1) = ten*(x2 - x1*x1) f(2) = one - x1 f(3) = rt90*(x4 - x3*x3) f(4) = one - x3 f(5) = rt10*(x2 + x4 - two) f(6) = r10inv*(x2 - x4) if (nb .ne. 0) ftf = ddot( m, f, 1, f, 1) fj( 1, 1) = -twenty*x1 fj( 1, 2) = ten fj( 1, 3) = zero fj( 1, 4) = zero fj( 2, 1) = -one fj( 2, 2) = zero fj( 2, 3) = zero fj( 2, 4) = zero fj( 3, 1) = zero fj( 3, 2) = zero fj( 3, 3) = -two*rt90*x3 fj( 3, 4) = rt90 fj( 4, 1) = zero fj( 4, 2) = zero fj( 4, 3) = -one fj( 4, 4) = zero fj( 5, 1) = zero fj( 5, 2) = rt10 fj( 5, 3) = zero fj( 5, 4) = rt10 fj( 6, 1) = zero fj( 6, 2) = r10inv fj( 6, 3) = zero fj( 6, 4) = -r10inv if (nd .eq. 0) return do 400 j = 1, n g(j) = ddot( m, fj( 1, j), 1, f, 1) 400 continue return 9999 format(/'1',70('=')//, *' wood function (more et al.)'//, *' number of variables =', i4,' (4)'/, *' number of functions =', i4,' (6)'//, * ' ',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) integer j double precision rt10, r10inv, rt90 common /PARAM1/ rt10, r10inv, rt90 save /PARAM1/ c double precision zero, rt90 c parameter (zero = 0.d0, rt90 = 9.4868329805051d0) double precision zero parameter (zero = 0.d0) *======================================================================= do 100 j = 1, n nonzro(j) = 0 call dcopy( m, zero, 0, dfj( 1, j), 1) 100 continue if (k .ne. 0) goto 210 if (k .eq. 3) goto 230 return 210 continue nonzro(1) = 1 dfj( 1, 1) = -20.d0 return 230 continue nonzro(3) = 1 dfj( 3, 3) = 2.d0*rt90 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) integer j double precision rt10, r10inv, rt90 common /PARAM1/ rt10, r10inv, rt90 save /PARAM1/ c double precision zero, rt90 c parameter (zero = 0.d0, rt90 = 9.4868329805051d0) double precision zero parameter (zero = 0.d0) *======================================================================= do 100 j = 1, n call dcopy( n, zero, 0, hess( 1, j), 1) 100 continue c goto ( 210, 220, 230, 220, 220, 220), k 210 continue linear = .false. hess( 1, 1) = -20.d0 return 220 continue linear = .true. return 230 continue linear = .false. hess( 3, 3) = -2.d0*rt90 return end