#     This file is part of CasADi.
#
#     CasADi -- A symbolic framework for dynamic optimization.
#     Copyright (C) 2010-2023 Joel Andersson, Joris Gillis, Moritz Diehl,
#                             KU Leuven. All rights reserved.
#     Copyright (C) 2011-2014 Greg Horn
#
#     CasADi is free software; you can redistribute it and/or
#     modify it under the terms of the GNU Lesser General Public
#     License as published by the Free Software Foundation; either
#     version 3 of the License, or (at your option) any later version.
#
#     CasADi 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
#     Lesser General Public License for more details.
#
#     You should have received a copy of the GNU Lesser General Public
#     License along with CasADi; if not, write to the Free Software
#     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA

from casadi import *

# A simple case of Callback
# ================================

# Callback allows the user to create functions that can be embedded into
# CasADi expressions. The user creates a class that inherits from this class
# and implements a subset of the virtual methods.
# Although Callback itself is implemented is C++, the virtual methods can be
# implemented in Python or MATLAB thanks to cross-language polymorphism as
# supported by the SWIG framework.

class Fac(Callback):
  def __init__(self, name, opts={}):
    Callback.__init__(self)
    self.construct(name, opts)

  def get_n_in(self): return 1
  def get_n_out(self): return 1

  def eval(self, arg):
    x = arg[0]
    y = 1
    for i in range(int(x)):
      y*=(i+1)
    return [y]

fac = Fac('fac')

# Evaluate numerically
y = fac(4)

print("4! = ", y)

# Using the function in a graph
# ==============================

x = MX.sym("x")
y = fac(x)

f = Function('f', [x],[y])

y = f(5)

print("5! = ", y)