# Copyright (C) 2002-2015 John W. Eaton
#
# This file is part of Octave.
#
# Octave is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by the
# Free Software Foundation; either version 3 of the License, or (at
# your option) any later version.
#
# Octave is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
# FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
# for more details.
#
# You should have received a copy of the GNU General Public License
# along with Octave; see the file COPYING.  If not, see
# <http://www.gnu.org/licenses/>.

CLASS = "DASRT"

INCLUDE = "DAERT.h"

OPTION
  NAME = "absolute tolerance"
  DOC_ITEM
Absolute tolerance.  May be either vector or scalar.  If a vector, it
must match the dimension of the state vector, and the relative
tolerance must also be a vector of the same length.

  END_DOC_ITEM
  TYPE = "Array<double>"
  SET_ARG_TYPE = "const $TYPE&"
  INIT_BODY
    $OPTVAR.resize (dim_vector (1, 1));
    $OPTVAR(0) = ::sqrt (std::numeric_limits<double>::epsilon ());
  END_INIT_BODY
  SET_CODE
    void set_$OPT (double val)
      {
        $OPTVAR.resize (dim_vector (1, 1));
        $OPTVAR(0) = (val > 0.0) ? val : ::sqrt (std::numeric_limits<double>::epsilon ());
        reset = true;
      }

    void set_$OPT (const $TYPE& val)
      { $OPTVAR = val; reset = true; }
  END_SET_CODE
END_OPTION

OPTION
  NAME = "relative tolerance"
  DOC_ITEM
Relative tolerance.  May be either vector or scalar.  If a vector, it
must match the dimension of the state vector, and the absolute
tolerance must also be a vector of the same length.

The local error test applied at each integration step is

@example
@group
  abs (local error in x(i)) <= ...
      rtol(i) * abs (Y(i)) + atol(i)
@end group
@end example

  END_DOC_ITEM
  TYPE = "Array<double>"
  SET_ARG_TYPE = "const $TYPE&"
  INIT_BODY
    $OPTVAR.resize (dim_vector (1, 1));
    $OPTVAR(0) = ::sqrt (std::numeric_limits<double>::epsilon ());
  END_INIT_BODY
  SET_CODE
    void set_$OPT (double val)
      {
        $OPTVAR.resize (dim_vector (1, 1));
        $OPTVAR(0) = (val > 0.0) ? val : ::sqrt (std::numeric_limits<double>::epsilon ());
        reset = true;
      }

    void set_$OPT (const $TYPE& val)
      { $OPTVAR = val; reset = true; }
  END_SET_CODE
END_OPTION

OPTION
  NAME = "initial step size"
  DOC_ITEM
Differential-algebraic problems may occasionally suffer from severe
scaling difficulties on the first step.  If you know a great deal
about the scaling of your problem, you can help to alleviate this
problem by specifying an initial stepsize.

  END_DOC_ITEM
  TYPE = "double"
  INIT_VALUE = "-1.0"
  SET_EXPR = "(val >= 0.0) ? val : -1.0"
END_OPTION

OPTION
  NAME = "maximum order"
  DOC_ITEM
Restrict the maximum order of the solution method.  This option must
be between 1 and 5, inclusive.

  END_DOC_ITEM
  TYPE = "octave_idx_type"
  INIT_VALUE = "-1"
  SET_EXPR = "val"
END_OPTION

OPTION
  NAME = "maximum step size"
  DOC_ITEM
Setting the maximum stepsize will avoid passing over very large
regions.

  END_DOC_ITEM
  TYPE = "double"
  INIT_VALUE = "-1.0"
  SET_EXPR = "(val >= 0.0) ? val : -1.0"
END_OPTION

OPTION
  NAME = "step limit"
  DOC_ITEM
Maximum number of integration steps to attempt on a single call to the
underlying Fortran code.
  END_DOC_ITEM
  TYPE = "octave_idx_type"
  INIT_VALUE = "-1"
  SET_EXPR = "(val >= 0) ? val : -1"
END_OPTION