|  |  |  | #
 | 
					
						
							|  |  |  | # Copyright 2019 Gianluca Frison, Dimitris Kouzoupis, Robin Verschueren,
 | 
					
						
							|  |  |  | # Andrea Zanelli, Niels van Duijkeren, Jonathan Frey, Tommaso Sartor,
 | 
					
						
							|  |  |  | # Branimir Novoselnik, Rien Quirynen, Rezart Qelibari, Dang Doan,
 | 
					
						
							|  |  |  | # Jonas Koenemann, Yutao Chen, Tobias Schöls, Jonas Schlagenhauf, Moritz Diehl
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # This file is part of acados.
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # The 2-Clause BSD License
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # Redistribution and use in source and binary forms, with or without
 | 
					
						
							|  |  |  | # modification, are permitted provided that the following conditions are met:
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # 1. Redistributions of source code must retain the above copyright notice,
 | 
					
						
							|  |  |  | # this list of conditions and the following disclaimer.
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # 2. Redistributions in binary form must reproduce the above copyright notice,
 | 
					
						
							|  |  |  | # this list of conditions and the following disclaimer in the documentation
 | 
					
						
							|  |  |  | # and/or other materials provided with the distribution.
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 | 
					
						
							|  |  |  | # AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 | 
					
						
							|  |  |  | # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 | 
					
						
							|  |  |  | # ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
 | 
					
						
							|  |  |  | # LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 | 
					
						
							|  |  |  | # CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 | 
					
						
							|  |  |  | # SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 | 
					
						
							|  |  |  | # INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 | 
					
						
							|  |  |  | # CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 | 
					
						
							|  |  |  | # ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 | 
					
						
							|  |  |  | # POSSIBILITY OF SUCH DAMAGE.;
 | 
					
						
							|  |  |  | #
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | import os
 | 
					
						
							|  |  |  | from casadi import *
 | 
					
						
							|  |  |  | from .utils import ALLOWED_CASADI_VERSIONS, is_empty, casadi_length, casadi_version_warning
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | def generate_c_code_implicit_ode( model, opts ):
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     casadi_version = CasadiMeta.version()
 | 
					
						
							|  |  |  |     casadi_opts = dict(mex=False, casadi_int='int', casadi_real='double')
 | 
					
						
							|  |  |  |     if casadi_version not in (ALLOWED_CASADI_VERSIONS):
 | 
					
						
							|  |  |  |         casadi_version_warning(casadi_version)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     generate_hess = opts["generate_hess"]
 | 
					
						
							|  |  |  |     code_export_dir = opts["code_export_directory"]
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ## load model
 | 
					
						
							|  |  |  |     x = model.x
 | 
					
						
							|  |  |  |     xdot = model.xdot
 | 
					
						
							|  |  |  |     u = model.u
 | 
					
						
							|  |  |  |     z = model.z
 | 
					
						
							|  |  |  |     p = model.p
 | 
					
						
							|  |  |  |     f_impl = model.f_impl_expr
 | 
					
						
							|  |  |  |     model_name = model.name
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ## get model dimensions
 | 
					
						
							|  |  |  |     nx = casadi_length(x)
 | 
					
						
							|  |  |  |     nu = casadi_length(u)
 | 
					
						
							|  |  |  |     nz = casadi_length(z)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ## generate jacobians
 | 
					
						
							|  |  |  |     jac_x       = jacobian(f_impl, x)
 | 
					
						
							|  |  |  |     jac_xdot    = jacobian(f_impl, xdot)
 | 
					
						
							|  |  |  |     jac_u       = jacobian(f_impl, u)
 | 
					
						
							|  |  |  |     jac_z       = jacobian(f_impl, z)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ## generate hessian
 | 
					
						
							|  |  |  |     x_xdot_z_u = vertcat(x, xdot, z, u)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     if isinstance(x, casadi.MX):
 | 
					
						
							|  |  |  |         symbol = MX.sym
 | 
					
						
							|  |  |  |     else:
 | 
					
						
							|  |  |  |         symbol = SX.sym
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     multiplier  = symbol('multiplier', nx + nz)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ADJ = jtimes(f_impl, x_xdot_z_u, multiplier, True)
 | 
					
						
							|  |  |  |     HESS = jacobian(ADJ, x_xdot_z_u)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     ## Set up functions
 | 
					
						
							|  |  |  |     p = model.p
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun'
 | 
					
						
							|  |  |  |     impl_dae_fun = Function(fun_name, [x, xdot, u, z, p], [f_impl])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_z'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_z = Function(fun_name, [x, xdot, u, z, p], [f_impl, jac_x, jac_xdot, jac_z])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # fun_name = model_name + '_impl_dae_fun_jac_x_xdot_z'
 | 
					
						
							|  |  |  |     # impl_dae_fun_jac_x_xdot = Function(fun_name, [x, xdot, u, z, p], [f_impl, jac_x, jac_xdot, jac_z])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # fun_name = model_name + '_impl_dae_jac_x_xdot_u'
 | 
					
						
							|  |  |  |     # impl_dae_jac_x_xdot_u = Function(fun_name, [x, xdot, u, z, p], [jac_x, jac_xdot, jac_u, jac_z])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_u_z'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_u_z = Function(fun_name, [x, xdot, u, z, p], [f_impl, jac_x, jac_xdot, jac_u, jac_z])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_u'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_u = Function(fun_name, [x, xdot, u, z, p], [f_impl, jac_x, jac_xdot, jac_u])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_jac_x_xdot_u_z'
 | 
					
						
							|  |  |  |     impl_dae_jac_x_xdot_u_z = Function(fun_name, [x, xdot, u, z, p], [jac_x, jac_xdot, jac_u, jac_z])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_hess'
 | 
					
						
							|  |  |  |     impl_dae_hess = Function(fun_name, [x, xdot, u, z, multiplier, p], [HESS])
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     # generate C code
 | 
					
						
							|  |  |  |     if not os.path.exists(code_export_dir):
 | 
					
						
							|  |  |  |         os.makedirs(code_export_dir)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     cwd = os.getcwd()
 | 
					
						
							|  |  |  |     os.chdir(code_export_dir)
 | 
					
						
							|  |  |  |     model_dir = model_name + '_model'
 | 
					
						
							|  |  |  |     if not os.path.exists(model_dir):
 | 
					
						
							|  |  |  |         os.mkdir(model_dir)
 | 
					
						
							|  |  |  |     model_dir_location = os.path.join('.', model_dir)
 | 
					
						
							|  |  |  |     os.chdir(model_dir_location)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun'
 | 
					
						
							|  |  |  |     impl_dae_fun.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_z'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_z.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_jac_x_xdot_u_z'
 | 
					
						
							|  |  |  |     impl_dae_jac_x_xdot_u_z.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_u_z'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_u_z.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     fun_name = model_name + '_impl_dae_fun_jac_x_xdot_u'
 | 
					
						
							|  |  |  |     impl_dae_fun_jac_x_xdot_u.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     if generate_hess:
 | 
					
						
							|  |  |  |         fun_name = model_name + '_impl_dae_hess'
 | 
					
						
							|  |  |  |         impl_dae_hess.generate(fun_name, casadi_opts)
 | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     os.chdir(cwd)
 |