ident23.f90

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!> @file ident23.f90
!! @ingroup FORT1THREAD_EXAMPLES
!!
!! 
!! Model with identical variables, i.e. `a*xi =E= b*xj`
!! Similar to ident20, but with an extra redundant identity.
!! 
!! This is a CONOPT implementation of the GAMS model:
!! 
!! @verbatim
!! variable x1, x2, x3, x4, x5;
!! equation e1, e2, e3, e4, e5;
!! 
!! e1.. x1 =E= x3;
!! e2.. x2 + x4 =E= 0;
!! e3.. x1 + 2*x2 =E= 1;
!! e4.. x5 =E= sqr(x1+x2+x3+x4);
!! e5.. x1 - 2*x4 =E= 1;
!! 
!! model m / all /;
!! solve m using nlp minimizing x5;
!! @endverbatim
!! 
!!
!! For more information about the individual callbacks, please have a look at the source code.
 
!> Main program. A simple setup and call of CONOPT
!!
Program ident23
 
   Use proginfo
   Use coidef
   implicit None
!
!  Declare the user callback routines as Integer, External:
!
   Integer, External :: ident_readmatrix ! Mandatory Matrix definition routine defined below
   Integer, External :: ident_fdeval     ! Function and Derivative evaluation routine
   Integer, External :: std_status     ! Standard callback for displaying solution status
   Integer, External :: std_solution   ! Standard callback for displaying solution values
   Integer, External :: std_message    ! Standard callback for managing messages
   Integer, External :: std_errmsg     ! Standard callback for managing error messages
#if defined(itl)
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Ident_ReadMatrix
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Ident_FDEval
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Std_Status
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Std_Solution
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Std_Message
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Std_ErrMsg
#endif
!
!  Control vector
!
   INTEGER :: numcallback
   INTEGER, Dimension(:), Pointer :: cntvect
   INTEGER :: coi_error
 
   call startup
!
!  Create and initialize a Control Vector
!
   numcallback = coidef_size()
   Allocate( cntvect(numcallback) )
   coi_error = coidef_inifort( cntvect )
!
!  Tell CONOPT about the size of the model by populating the Control Vector:
!
   coi_error = max( coi_error, coidef_numvar( cntvect, 5 ) )
   coi_error = max( coi_error, coidef_numcon( cntvect, 5 ) )
   coi_error = max( coi_error, coidef_numnz( cntvect, 13 ) )
   coi_error = max( coi_error, coidef_numnlnz( cntvect, 4 ) )
   coi_error = max( coi_error, coidef_optdir( cntvect, -1 ) )        ! minimize
   coi_error = max( coi_error, coidef_objvar( cntvect, 5 ) )         ! Objective is x5
   coi_error = max( coi_error, coidef_optfile( cntvect, 'Ident23.opt'  ) )
!
!  Tell CONOPT about the callback routines:
!
   coi_error = max( coi_error, coidef_readmatrix( cntvect, ident_readmatrix ) )
   coi_error = max( coi_error, coidef_fdeval( cntvect, ident_fdeval     ) )
   coi_error = max( coi_error, coidef_status( cntvect, std_status     ) )
   coi_error = max( coi_error, coidef_solution( cntvect, std_solution   ) )
   coi_error = max( coi_error, coidef_message( cntvect, std_message    ) )
   coi_error = max( coi_error, coidef_errmsg( cntvect, std_errmsg     ) )
 
#if defined(LICENSE_INT_1) && defined(LICENSE_INT_2) && defined(LICENSE_INT_3) && defined(LICENSE_TEXT)
   coi_error = max( coi_error, coidef_license( cntvect, license_int_1, license_int_2, license_int_3, license_text) )
#endif
 
   If ( coi_error .ne. 0 ) THEN
      write(*,*)
      write(*,*) '**** Fatal Error while loading CONOPT Callback routines.'
      write(*,*)
      call flog( "Skipping Solve due to setup errors", 1 )
   ENDIF
!
!  Save the solution so we can check the duals:
!
   do_allocate = .true.
!
!  Start CONOPT:
!
   coi_error = coi_solve( cntvect )
 
   write(*,*)
   write(*,*) 'End of Ident example 1. Return code=',coi_error
 
   If ( coi_error /= 0 ) then
      call flog( "Errors encountered during solution", 1 )
   elseif ( stacalls == 0 .or. solcalls == 0 ) then
      call flog( "Status or Solution routine was not called", 1 )
   elseif ( .not. ( sstat == 1 .and. mstat == 2 ) ) then
      call flog( "Solver or Model status was not as expected (1,2)", 1 )
   elseif ( abs( obj - 0.0d0 ) > 1.d-7 ) then
      call flog( "Incorrect objective returned", 1 )
   Else
      Call checkdual( 'Ident23', minimize )
   endif
 
   if ( coi_free(cntvect) /= 0 ) call flog( "Error while freeing control vector",1)
 
   call flog( "Successful Solve", 0 )
 
End Program ident23
!
! ============================================================================
!  Define information about the model:
!
 
!>  Define information about the model
!!
!! @include{doc} readMatrix_params.dox
Integer Function ident_readmatrix( lower, curr, upper, vsta, type, rhs, esta,      &
                                 colsta, rowno, value, nlflag, n, m, nz,  &
                                 usrmem )
#if defined(itl)
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Ident_ReadMatrix
#endif
   implicit none
   integer, intent (in)                      :: n      ! number of variables
   integer, intent (in)                      :: m      ! number of constraints
   integer, intent (in)                      :: nz     ! number of nonzeros
   real*8,  intent (in out), dimension(n)    :: lower  ! vector of lower bounds
   real*8,  intent (in out), dimension(n)    :: curr   ! vector of initial values
   real*8,  intent (in out), dimension(n)    :: upper  ! vector of upper bounds
   integer, intent (in out), dimension(n)    :: vsta   ! vector of initial variable status
                                                       ! (not defined here)
   integer, intent (out),    dimension(m)    :: type   ! vector of equation types
   integer, intent (in out), dimension(m)    :: esta   ! vector of initial equation status
                                                       ! (not defined here)
   real*8,  intent (in out), dimension(m)    :: rhs    ! vector of right hand sides
   integer, intent (in out), dimension(n+1)  :: colsta ! vector with start of column indices
   integer, intent (out),    dimension(nz)   :: rowno  ! vector of row numbers
   integer, intent (in out), dimension(nz)   :: nlflag ! vector of nonlinearity flags
   real*8,  intent (in out), dimension(nz)   :: value  ! vector of matrix values
   real*8   usrmem(*)                                  ! optional user memory
 
!
!  Information about Variables:
!  Default: Lower = -Inf, Curr = 0, and Upper = +inf.
!  Default: the status information in Vsta is not used.
!
!  Information about Constraints:
!  Default: Rhs = 0
!  Default: the status information in Esta and the function
!           value in FV are not used.
!  Default: Type: There is no default.
!           0 = Equality,
!           1 = Greater than or equal,
!           2 = Less than or equal,
!           3 = Non binding.
!
!  Constraints 1 to Nrow:
!  Rhs = Obs(i) and type Equality
!
   type(1) = 0
   type(2) = 0
   type(3) = 0
   type(4) = 0
   type(5) = 0
   rhs(3)  = 1.0d0
   rhs(5)  = 1.0d0
!
!  Information about the Jacobian. We use the standard method with
!  Rowno, Value, Nlflag and Colsta and we do not use Colno.
!
!  Colsta = Start of column indices (No Defaults):
!  Rowno  = Row indices
!  Value  = Value of derivative (by default only linear
!                                derivatives are used)
!  Nlflag = 0 for linear and 1 for nonlinear derivative
!           (not needed for completely linear models)
!
!       x1  x2  x3  x4  x5
!  e1   1       8
!  e2       5      10
!  e3   2   6
!  e4   3   7   9  11  13
!  e5   4          12
 
!  e1.. x1 =E= x3;
!  e2.. x2 + x4 =E= 0;
!  e3.. x1 + 2*x2 =E= 1;
!  e4.. x5 =E= sqr(x1+x2+x3+x4);
!  e5.. x1 - 2*x4 =E= 1;
!
!       x1  x2  x3  x4  x5
!  e1   1.0    -1.0
!  e2       1.0     1.0
!  e3   1.0 2.0
!  e4   NL  NL  NL  NL  1.0
!  e5   1.0        -2.0
!
   colsta(1) = 1
   colsta(2) = 5
   colsta(3) = 8
   colsta(4) = 10
   colsta(5) = 13
   colsta(6) = 14
   rowno(1)  = 1; nlflag(1)  = 0; value(1) = 1.0d0
   rowno(2)  = 3; nlflag(2)  = 0; value(2) = 1.0d0
   rowno(3)  = 4; nlflag(3)  = 1;
   rowno(4)  = 5; nlflag(4)  = 0; value(4) = 1.0d0
   rowno(5)  = 2; nlflag(5)  = 0; value(5) = 1.0d0
   rowno(6)  = 3; nlflag(6)  = 0; value(6) = 2.0d0
   rowno(7)  = 4; nlflag(7)  = 1;
   rowno(8)  = 1; nlflag(8)  = 0; value(8) = -1.0d0
   rowno(9)  = 4; nlflag(9)  = 1;
   rowno(10) = 2; nlflag(10) = 0; value(10) = 1.0d0
   rowno(11) = 4; nlflag(11) = 1;
   rowno(12) = 5; nlflag(12) = 0; value(12) = -2.0
   rowno(13) = 4; nlflag(13) = 0; value(13) = 1.0d0
 
   ident_readmatrix = 0 ! Return value means OK
 
end Function ident_readmatrix
 
 
!>  Compute nonlinear terms and non-constant Jacobian elements
!!
!! @include{doc} fdeval_params.dox
Integer Function ident_fdeval( x, g, jac, rowno, jcnm, mode, ignerr, errcnt, &
                             n, nz, thread, usrmem )
#if defined(itl)
!DEC$ ATTRIBUTES STDCALL, REFERENCE, NOMIXED_STR_LEN_ARG :: Ident_FDEval
#endif
   Use ident
   implicit none
   integer, intent (in)                      :: n      ! number of variables
   integer, intent (in)                      :: rowno  ! number of the row to be evaluated
   integer, intent (in)                      :: nz     ! number of nonzeros in this row
   real*8,  intent (in),     dimension(n)    :: x      ! vector of current solution values
   real*8,  intent (in out)                  :: g      ! constraint value
   real*8,  intent (in out), dimension(n)    :: jac    ! vector of derivatives for current constraint
   integer, intent (in),     dimension(nz)   :: jcnm   ! list of variables that appear nonlinearly
                                                       ! in this row. Ffor information only.
   integer, intent (in)                      :: mode   ! evaluation mode: 1 = function value
                                                       ! 2 = derivatives, 3 = both
   integer, intent (in)                      :: ignerr ! if 1 then errors can be ignored as long
                                                       ! as errcnt is incremented
   integer, intent (in out)                  :: errcnt ! error counter to be incremented in case
                                                       ! of function evaluation errors.
   integer, intent (in)                      :: thread
   real*8   usrmem(*)                                  ! optional user memory
!
   if ( rowno .eq. 4 ) then
!
!  Mode = 1 or 3. Function value: -sqr(x1+x2+x3+x4)
!
      if ( mode .eq. 1 .or. mode .eq. 3 ) then
         g    = -(x(1)+x(2)+x(3)+x(4))**2
      endif
!
!  Mode = 2 or 3: Derivative values:
!
      if ( mode .eq. 2 .or. mode .eq. 3 ) then
         jac(1) = -2.d0*(x(1)+x(2)+x(3)+x(4))
         jac(2) = -2.d0*(x(1)+x(2)+x(3)+x(4))
         jac(3) = -2.d0*(x(1)+x(2)+x(3)+x(4))
         jac(4) = -2.d0*(x(1)+x(2)+x(3)+x(4))
      endif
      ident_fdeval = 0
   else
      ident_fdeval = 1 ! Illegal row number
   endif
 
end Function ident_fdeval