# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# 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, 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
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								# 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								import  os 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								from  casadi  import  * 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								from  . utils  import  ALLOWED_CASADI_VERSIONS ,  is_empty ,  casadi_version_warning 
 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								def  generate_c_code_explicit_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 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    u  =  model . u 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    p  =  model . p 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    f_expl  =  model . f_expl_expr 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    model_name  =  model . name 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    ## get model dimensions 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    nx  =  x . size ( ) [ 0 ] 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    nu  =  u . size ( ) [ 0 ] 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    if  isinstance ( f_expl ,  casadi . MX ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        symbol  =  MX . sym 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    elif  isinstance ( f_expl ,  casadi . SX ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        symbol  =  SX . sym 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    else : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        raise  Exception ( " Invalid type for f_expl! Possible types are  ' SX '  and  ' MX ' . Exiting. " ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    ## set up functions to be exported 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    Sx  =  symbol ( ' Sx ' ,  nx ,  nx ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    Sp  =  symbol ( ' Sp ' ,  nx ,  nu ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    lambdaX  =  symbol ( ' lambdaX ' ,  nx ,  1 ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _expl_ode_fun ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    ## Set up functions 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_ode_fun  =  Function ( fun_name ,  [ x ,  u ,  p ] ,  [ f_expl ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    vdeX  =  jtimes ( f_expl , x , Sx ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    vdeP  =  jacobian ( f_expl , u )  +  jtimes ( f_expl , x , Sp ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _expl_vde_forw ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_vde_forw  =  Function ( fun_name ,  [ x ,  Sx ,  Sp ,  u ,  p ] ,  [ f_expl ,  vdeX ,  vdeP ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    adj  =  jtimes ( f_expl ,  vertcat ( x ,  u ) ,  lambdaX ,  True ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _expl_vde_adj ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_vde_adj  =  Function ( fun_name ,  [ x ,  lambdaX ,  u ,  p ] ,  [ adj ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    if  generate_hess : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        S_forw  =  vertcat ( horzcat ( Sx ,  Sp ) ,  horzcat ( DM . zeros ( nu , nx ) ,  DM . eye ( nu ) ) ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        hess  =  mtimes ( transpose ( S_forw ) , jtimes ( adj ,  vertcat ( x , u ) ,  S_forw ) ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        hess2  =  [ ] 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        for  j  in  range ( nx + nu ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								            for  i  in  range ( j , nx + nu ) : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								                hess2  =  vertcat ( hess2 ,  hess [ i , j ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        fun_name  =  model_name  +  ' _expl_ode_hess ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        expl_ode_hess  =  Function ( fun_name ,  [ x ,  Sx ,  Sp ,  lambdaX ,  u ,  p ] ,  [ adj ,  hess2 ] ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    ## 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  +  ' _expl_ode_fun ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_ode_fun . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _expl_vde_forw ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_vde_forw . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    fun_name  =  model_name  +  ' _expl_vde_adj ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    expl_vde_adj . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    if  generate_hess : 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        fun_name  =  model_name  +  ' _expl_ode_hess ' 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        expl_ode_hess . generate ( fun_name ,  casadi_opts ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    os . chdir ( cwd ) 
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    return