# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# 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. 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								import  os 
 
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								import  casadi  as  ca 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								from  . utils  import  ALLOWED_CASADI_VERSIONS ,  casadi_length ,  casadi_version_warning 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								def  generate_c_code_discrete_dynamics (  model ,  opts  ) : 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    casadi_version  =  ca . 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 ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # load model 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    x  =  model . x 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    u  =  model . u 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    p  =  model . p 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    phi  =  model . disc_dyn_expr 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    model_name  =  model . name 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    nx  =  casadi_length ( x ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    if  isinstance ( phi ,  ca . MX ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        symbol  =  ca . MX . sym 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    elif  isinstance ( phi ,  ca . SX ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        symbol  =  ca . SX . sym 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    else : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        Exception ( " generate_c_code_disc_dyn: disc_dyn_expr must be a CasADi expression, you have type:  {} " . format ( type ( phi ) ) ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # assume nx1 = nx !!! 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    lam  =  symbol ( ' lam ' ,  nx ,  1 ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # generate jacobians 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    ux  =  ca . vertcat ( u , x ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    jac_ux  =  ca . jacobian ( phi ,  ux ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # generate adjoint 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    adj_ux  =  ca . jtimes ( phi ,  ux ,  lam ,  True ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # generate hessian 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    hess_ux  =  ca . jacobian ( adj_ux ,  ux ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    ## change directory 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    code_export_dir  =  opts [ " code_export_directory " ] 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    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 ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    # set up & generate Functions 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _dyn_disc_phi_fun ' 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    phi_fun  =  ca . Function ( fun_name ,  [ x ,  u ,  p ] ,  [ phi ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    phi_fun . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _dyn_disc_phi_fun_jac ' 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    phi_fun_jac_ut_xt  =  ca . Function ( fun_name ,  [ x ,  u ,  p ] ,  [ phi ,  jac_ux . T ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    phi_fun_jac_ut_xt . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _dyn_disc_phi_fun_jac_hess ' 
  
						 
					
						
							
								
							 
							
								
									
										 
								
							 
							
								 
							
							
								    phi_fun_jac_ut_xt_hess  =  ca . Function ( fun_name ,  [ x ,  u ,  lam ,  p ] ,  [ phi ,  jac_ux . T ,  hess_ux ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    phi_fun_jac_ut_xt_hess . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    os . chdir ( cwd )