# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# 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 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# 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 )