% optidef - Version 2.1
%
%Copyright 2016 J. Lago Garcia
%
%This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at your option) any later version.
%The latest version of this license is in http://www.latex-project.org/lppl.txt and version 1.3 or later is part of all distributions of LaTeX version 2005/12/01 or later.
%
%This work has the LPPL maintenance status 'maintained'. The Current Maintainer of this work is J. Lago Garcia, under the supervision of Prof. Dr. Moritz Diehl and Prof. Dr. Sebastien Gross.
%
%E-mail: jesus.lago.garcia@venus.uni-freiburg.de
%
%This work consists of the file optidef.sty.

\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{optidef}[2016/09/25 - version=2.1,  Package for defining optimization problems]

\RequirePackage{environ}
\RequirePackage{mathtools}	
\RequirePackage{xifthen}
\RequirePackage{etoolbox}	
\RequirePackage{xparse}	
\RequirePackage{calc}	

%%%%%%%%%%%%%%%%%%%%%%%
% DEFINING PACKAGE OPTIONS
%%%%%%%%%%%%%%%%%%%%%%%
% Default
\newcommand{\defaultOCPConstraint}{,}
\newcommand{\defaultProblemFormat}{l}

\DeclareOption{short}{
	\renewcommand{\defaultProblemFormat}{s}
}

\DeclareOption{long}{
\renewcommand{\defaultProblemFormat}{l}
}

\DeclareOption{nocomma}{
	\renewcommand{\defaultOCPConstraint}{}
}

\ProcessOptions\relax

%%%%%%%%%%%%%%%%%%%%%%%
% VARIABLES DEFINITION
%%%%%%%%%%%%%%%%%%%%%%%

% Toogle to indicate if during the addConstraint command the first constraint should be built together with "subject to"
\newtoggle{bodyCon}
\toggletrue{bodyCon}

% If the previous constraints has 3 elements, we avoid setting \span\span at the beginning of the next constraint. If there is no previous third element, \span\span must be included for correct alignment
\newtoggle{previousThird}
\togglefalse{previousThird}
\newcommand{\spanit}{}

% Variable used to define the subject to word for short and long versions
\newcommand{\bodySubjectTo}{Unset Subject to}

% Variable used for defining if the long problem format or the short problem format is used
\newcommand{\localProblemFormat}{l}

% Variable to storage which type of of local problem is being solved
\newcommand{\localProblemType}{minimize}

% Defining variable to storage problem variable
\newcommand{\localOptimalVariable}{}

\newlength\stextwidth

%%%%%%%%%%%%%%%%%%%%%%%
% OBJECTIVE COMMAND DEFINITION
%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\bodyobj}[4]
{
	\ifthenelse{\isempty{#4}}
	{
		&\underset{\displaystyle #1}{\mathrlap{\mathrm{#3}}\phantom{\mathrm{subject~to}}} \quad #2\span\span\span\span
	}
	{
		#4~ &\underset{\displaystyle #1}{\mathrlap{\mathrm{#3}}\phantom{\mathrm{subject~to}}} \quad #2\span\span\span\span
	}
}


%% LONG VERSION "minimize" instead of   "min" 
\newcommand{\bodyobjLong}[4]
{
	\ifthenelse{\isempty{#4}}
	{
		&\mathmakebox[\widthof{$\underset{\displaystyle #1}{\mathrm{subject~to}}$}]{\underset{\displaystyle #1}{\mathrm{#3}}} \quad #2\span\span\span\span
	}
	{
		#4~ &\mathmakebox[\widthof{$\underset{\displaystyle #1}{\mathrm{subject~to}}$}]{\underset{\displaystyle #1}{\mathrm{#3}}} \quad #2\span\span\span\span		
	}
}

%% SHORT VERSION "min" instead of "minimize"
\newcommand{\bodyobjShort}[4]
{
	\ifthenelse{\isempty{#4}}
	{
		&\underset{\displaystyle #1}{\mathrm{#3}} \quad #2\span\span\span\span
	}
	{
		#4 ~ &\underset{\displaystyle #1}{\mathrm{#3}} \quad #2\span\span\span\span
	}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% DEFINITION DIFFERENT TYPE OF BODY CONSTRAINTS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% A BODY CONSTRAINT IS THE INITIAL CONSTRAINT DEFINED WITH THE 'SUBJECT TO', DEPENDING ON THE TYPE OF PROBLEM A DIFFERENT VERSION IS USED


% Main command. Dynamically redefined at every new problem definition.
\DeclareDocumentCommand{\bodyconst}{m G{}}
{	\ifthenelse{\equal{#2}{}}{
	\\ &\underset{\displaystyle \phantom{\localOptimalVariable}}{\mathrm{subject~to}} \quad &&#1 #2 
	}{
	\\ &\underset{\displaystyle \phantom{\localOptimalVariable}}{\mathrm{subject~to}}  \quad &#1 & #2
	}
}

\newcommand{\bodySubjectToDefinition}{
%## If the short version of "subject to", i.e. "s.t.", should be used the command \bodySubjectTo should be modified
\ifthenelse{\equal{\localProblemFormat}{s}}
{%%
\global\def\bodySubjectTo{\mathmakebox[\widthof{$\underset{\displaystyle \phantom{\localOptimalVariable}}{\mathrm{\localProblemType}}$}][c]{\mathmakebox[\widthof{$\mathrm{\localProblemType}$}][l]{\mathrm{\kern 0.1em s.t.}}}}
}{%%
\global\def\bodySubjectTo{\mathmakebox[\widthof{$\underset{\displaystyle \phantom{\localOptimalVariable}}{\mathrm{\,subject~to}}$}][c]{\mathmakebox[\widthof{$\mathrm{\localProblemType}$}][l]{\mathrm{subject~to}}}}
}%%
%
}

% Standard version.
\DeclareDocumentCommand{\bodyconstRight}{m G{} G{}}
{%%%
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"
\ifthenelse{\equal{#3}{}}{%%
		\ifthenelse{\equal{#2}{}}{%
		\\ & \bodySubjectTo \quad &&#1 #2 	
	}{%
	\\ &\bodySubjectTo \quad &#1 & #2
	}%
	\togglefalse{previousThird}
}{%%
	\ifthenelse{\equal{#2}{}}{%
		\\ &\bodySubjectTo \quad &&#1 #2 &&#3
	}{%
	\\ &\bodySubjectTo \quad &#1 & #2 &&#3
	}%
	\toggletrue{previousThird}
}%%
}%%%


% Single alignment point but next to subject to
\DeclareDocumentCommand{\bodyconstOneAlign}{m G{} G{}}
{
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"	
	\ifthenelse{\equal{#3}{}}{
		\\ &\bodySubjectTo\quad &&#1 #2 	\togglefalse{previousThird}
	}{
		\\ &\bodySubjectTo\quad &&#1 #2 &&#3
		\toggletrue{previousThird}
	}
}

% Contraints below subject to and with a single alignment point
\DeclareDocumentCommand{\bodyconstOneAlignBelow}{m G{} G{}}
{
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"	
	\ifthenelse{\equal{#3}{}}{
		\\ &\bodySubjectTo \span\span\span\span \\
		&&&#1 #2 \togglefalse{previousThird}
	}{
		\\ &\bodySubjectTo \span\span\span\span \\
		&&&#1 #2 &&#3	
		\toggletrue{previousThird}
	}	
}

% Contraints below subject to but with double alignment point
\DeclareDocumentCommand{\bodyconstBelow}{m G{} G{}}
{
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"	
	\ifthenelse{\equal{#3}{}}{
		\ifthenelse{\equal{#2}{}}{
			\\ &\bodySubjectTo\span\span\span\span \\
			&&&#1 #2 
		}{
		\\ &\bodySubjectTo \span\span\span\span \\
		 &&#1 & #2 
		}
		\togglefalse{previousThird}
	}{
		\ifthenelse{\equal{#2}{}}{
			\\ &\bodySubjectTo \span\span\span\span \\
			&&&#1 #2 &&#3
		}{
		\\ &\bodySubjectTo\span\span\span\span \\
		&&#1 & #2 &&#3
		}
		\toggletrue{previousThird}	
	}
}

% Contraints below subject to for the case of having a reference/label for each individual equation
\DeclareDocumentCommand{\bodyconstBelowMult}{m G{} G{}}
{
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"	
	\ifthenelse{\equal{#3}{}}{
		\ifthenelse{\equal{#2}{}}{
			\\ &\bodySubjectTo\span\span\span\span \nonumber \\
			&&&#1 #2	
		}{
		\\ &\bodySubjectTo \span\span\span\span \nonumber \\
		&&#1 & #2 
		}
		\togglefalse{previousThird}
	}{
		\ifthenelse{\equal{#2}{}}{
			\\ &\bodySubjectTo\span\span\span\span \nonumber \\
			&&&#1 #2	&&#3
		}{
		\\ &\bodySubjectTo \span\span\span\span \nonumber \\
		&&#1 & #2 &&#3
		}
		\toggletrue{previousThird}	
	}
}

% Contraints below subject to and with a single alignment point for the case of having a reference/label for each individual equation
\DeclareDocumentCommand{\bodyconstOneAlignBelowMult}{m G{} G{}}
{
\bodySubjectToDefinition
%##  Set the first constraint according to the format used for "subject to"	
	\ifthenelse{\equal{#3}{}}{
		\\ &\bodySubjectTo\span\span\span\span \nonumber \\
		&&&#1 #2		\togglefalse{previousThird}
	}{
		\\ &\bodySubjectTo\span\span\span\span \nonumber \\
		&&&#1 #2 &&	#3
		\toggletrue{previousThird}
	}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% DEFINITION DIFFERENT TYPE OF ADDING CONSTRAINTS
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Main command. Dynamically redefined at every problem definiton.
\DeclareDocumentCommand{\addConstraint}{m G{} G{}}{
% "If clause" selecting whether a third parameter (#3) defining extra constraint information is used
\ifthenelse{\equal{#3}{}}{	
		% Second "If clause" selecting whether two or 1 elements for the constraints are used
		\ifthenelse{\equal{#2}{}}{
			\iftoggle{bodyCon}{
				\bodyconst{#1}
				\togglefalse{bodyCon}
			}{
			\defaultOCPConstraint\\&\quad &&#1 #2\span\span
			\togglefalse{bodyCon}
				}
		}{
			\iftoggle{bodyCon}{
				\bodyconst{#1}{#2}
				\togglefalse{bodyCon}
			}{
			\defaultOCPConstraint\\&\quad &#1 & #2\span\span
			\togglefalse{bodyCon}
			}
		}
			\togglefalse{previousThird}
	}{
			\iftoggle{bodyCon}{
				\bodyconst{#1}{#2}{#3}
				\togglefalse{bodyCon}
			}{
				\ifthenelse{\equal{#2}{}}{
					\defaultOCPConstraint\\&\quad &&#1 #2 && #3
				}{
					\defaultOCPConstraint\\&\quad &#1 & #2 && #3
				}
				\togglefalse{bodyCon}
			}
		\toggletrue{previousThird}
		}
}

% Standard version of adding constraints
\DeclareDocumentCommand{\standardAddConstraint}{m G{} G{}}{
	\iftoggle{previousThird}
	{\renewcommand{\spanit}{}}
	{\renewcommand{\spanit}{\span\span}}
\iftoggle{bodyCon}{
	\bodyconstRight{#1}{#2}{#3}
	\togglefalse{bodyCon}
}{
	\ifthenelse{\equal{#2}{}}{
		\ifthenelse{\equal{#3}{}}{
			\defaultOCPConstraint\spanit\\&\quad &&#1 #2 
			\togglefalse{previousThird}
		}{
			\defaultOCPConstraint\spanit\\&\quad &&#1 #2 && #3
			\toggletrue{previousThird}
		}
	}{
		\ifthenelse{\equal{#3}{}}{
			\defaultOCPConstraint\spanit\\&\quad &#1 & #2 
			\togglefalse{previousThird}
		}{
			\defaultOCPConstraint\spanit\\&\quad &#1 & #2 && #3
			\toggletrue{previousThird}
		}
}
\togglefalse{bodyCon}
}
}

% Adding constraints below subject to
\DeclareDocumentCommand{\BelowAddConstraint}{m G{} G{}}{
	\iftoggle{bodyCon}{
		\bodyconstBelow{#1}{#2}{#3}
		\togglefalse{bodyCon}
	}{
		\ifthenelse{\equal{#2}{}}{
			\ifthenelse{\equal{#3}{}}{
				\defaultOCPConstraint\spanit\\&&&#1  #2 		\togglefalse{previousThird}
			}{
				\defaultOCPConstraint\spanit\\&&&#1  #2 && #3
				\toggletrue{previousThird}		
			}
		}{
			\ifthenelse{\equal{#3}{}}{
				\defaultOCPConstraint\spanit\\ &&#1  &#2 \togglefalse{previousThird}
			}{
				\defaultOCPConstraint\spanit\\ &&#1  &#2 && #3
				\toggletrue{previousThird}
			}
		}
		\togglefalse{bodyCon}
	}
}

% Adding constraints with a single alignment point but next to subject to
\DeclareDocumentCommand{\oneAlignAddConstraint}{m G{} G{}}{
		\iftoggle{bodyCon}{
			\bodyconstOneAlign{#1}{#2}{#3}
			\togglefalse{bodyCon}
		}{
			\ifthenelse{\equal{#3}{}}{
				\defaultOCPConstraint\spanit\\&\quad &&#1  #2 \togglefalse{previousThird}
			}{
				\defaultOCPConstraint\spanit\\&\quad &&#1  #2 && #3
				\toggletrue{previousThird}
			}
		\togglefalse{bodyCon}
		}
}

% Adding constraints for a single alignment point and with the constraints below
\DeclareDocumentCommand{\oneAlignBelowAddConstraint}{m G{} G{}}{
	\iftoggle{bodyCon}{
		\bodyconstOneAlignBelow{#1}{#2}{#3}
		\togglefalse{bodyCon}
	}{
		\ifthenelse{\equal{#3}{}}{
			\defaultOCPConstraint\spanit\\& &&#1  #2\togglefalse{previousThird}
		}{
			\defaultOCPConstraint\spanit\\& &&#1  #2 && #3
			\toggletrue{previousThird}
		}
		\togglefalse{bodyCon}
	}
}

% Adding constraints below "subject to" for multiple references
\DeclareDocumentCommand{\BelowAddConstraintMult}{m G{} G{}}{
	\iftoggle{bodyCon}{
		\bodyconstBelowMult{#1}{#2}{#3}
		\togglefalse{bodyCon}
	}{
		\ifthenelse{\equal{#3}{}}{
			\ifthenelse{\equal{#2}{}}{
				\defaultOCPConstraint\spanit\\&&&#1  #2
			}{
			\defaultOCPConstraint\spanit\\ &&#1  &#2
			}
			\togglefalse{previousThird}
		}{
			\ifthenelse{\equal{#2}{}}{
				\defaultOCPConstraint\spanit\\&&&#1  #2 && #3
			}{
			\defaultOCPConstraint\spanit\\ &&#1  &#2&& #3}
		\toggletrue{previousThird}
		}
		\togglefalse{bodyCon}
	}
}

% Adding constraints for a single alignment point and with the constraints below for multiple references
\DeclareDocumentCommand{\oneAlignBelowAddConstraintMult}{m G{} G{}}{
	\iftoggle{bodyCon}{
		\bodyconstOneAlignBelowMult{#1}{#2}
		\togglefalse{bodyCon}
	}{
		\ifthenelse{\equal{#3}{}}{
			\defaultOCPConstraint\spanit\\& &&#1  #2 \togglefalse{previousThird}
		}{
			\defaultOCPConstraint\spanit\\& &&#1  #2 && #3
			\toggletrue{previousThird}
		}
	\togglefalse{bodyCon}
}
}

%%%%%%%%%%%%%%%%%%%%
% SELECTING TYPE OF FORMAT
%%%%%%%%%%%%%%%%%%%%
\newcommand{\selectConstraint}[1]{
	\ifthenelse{\equal{#1}{1}}{
		\let\addConstraint\BelowAddConstraint
	}{
	\ifthenelse{\equal{#1}{2}}{
		\let\addConstraint\oneAlignAddConstraint
	}{
	\ifthenelse{\equal{#1}{3}}{
		\let\addConstraint\oneAlignBelowAddConstraint
	}{
		\let\addConstraint\standardAddConstraint}
}
}
}

% Selecting for multiple references
\newcommand{\selectConstraintMult}[1]{
	\ifthenelse{\equal{#1}{1}}{
		\let\addConstraint\BelowAddConstraintMult
	}{
	\ifthenelse{\equal{#1}{2}}{
		\let\addConstraint\oneAlignAddConstraint
	}{
	\ifthenelse{\equal{#1}{3}}{
		\let\addConstraint\oneAlignBelowAddConstraintMult
	}{
	\let\addConstraint\standardAddConstraint}
}
}
}

%%%%%%%%%%%%%%%%%%%
% SETTING DEFAULT FORMAT
%%%%%%%%%%%%%%%%%%%
\newcommand{\setStandardMini}{
	\toggletrue{bodyCon}
	\let\addConstraint\standardAddConstraint	
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% COMMANDS TO DEFINE ALL REQUIRED PROPERTIES TO CHOOSE SHORT/LONG FORMAT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\setFormatShort}[1]{\global\def\localProblemFormat{s} \let\bodyobj\bodyobjShort \renewcommand{\localProblemType}{#1}}

\newcommand{\setFormatLong}[1]{\global\def\localProblemFormat{l} \let\bodyobj\bodyobjLong \renewcommand{\localProblemType}{#1}}

\newcommand{\breakObjectiveOneConstraint}[1]{&&&#1\\}

%%%%%%%%%%%%%%%%%%%%%
%MINIMIZATION ENVIRONMENTS
%%%%%%%%%%%%%%%%%%%%


% BASE ENVIRONMENTS
% Base environment for the three possible types of referencing: 1 label, no label or multilabel
% Base environment defined using NewEnviron package because of \BODY command
\NewEnviron{BaseMini}[6]{%
\selectConstraint{#1}
\renewcommand{\localOptimalVariable}{#2}
\begin{equation}
#4
\begin{alignedat}{5}
\bodyobj{#2}{#3}{#6}{#5}
\BODY
\end{alignedat}
\end{equation}	
\setStandardMini
}

\NewEnviron{BaseMiniStar}[5]{%
\selectConstraint{#1}
\renewcommand{\localOptimalVariable}{#2}
\begin{alignat*}{5}
\bodyobj{#2}{#3}{#5}{#4}
\BODY
\end{alignat*}
\setStandardMini
}


\NewEnviron{BaseMiniExclam}[6]{%
	\selectConstraintMult{#1}
	\renewcommand{\localOptimalVariable}{#2}
	\begin{subequations}
		#4
		\begin{alignat}{5}
		\bodyobj{#2}{#3}{#6}{#5}
		\BODY
		\end{alignat}
	\end{subequations}
	\setStandardMini
}


% INDIVIDUAL AND SPECIFIC ENVIRONMENTS (mini, maxi, argmini*...)
% Specific environments defined with xparse package due to arguments options

%MINIMIZATION ENVIRONMENTS
% Single reference probems
\DeclareDocumentEnvironment{mini}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
% Short version problem
{\setFormatShort{min} \BaseMini{#2}{#3}{#4}{#5}{#6}{min}}
% Long version problem	
{\setFormatLong{minimize} \BaseMini{#2}{#3}{#4}{#5}{#6}{minimize}}
}{\endBaseMini}

\DeclareDocumentEnvironment{argmini}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
% Short version problem
{\setFormatShort{arg~min} \BaseMini{#2}{#3}{#4}{#5}{#6}{arg~min}}
% Long version problem	
{\setFormatLong{arg~min} \BaseMini{#2}{#3}{#4}{#5}{#6}{arg~min}}
}{\endBaseMini}


% No reference
\DeclareDocumentEnvironment{mini*}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{min} \BaseMiniStar{#2}{#3}{#4}{#6}{min}}
	% Long version problem	
	{\setFormatLong{minimize} \BaseMiniStar{#2}{#3}{#4}{#6}{minimize}}
}{\textbf{\endBaseMiniStar}}
		
\DeclareDocumentEnvironment{argmini*}{D||{l} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
% Short version problem
{\setFormatShort{arg~min}\BaseMiniStar{#2}{#3}{#4}{#6}{arg~min}}
% Long version problem	
{\setFormatLong{arg~min} \BaseMiniStar{#2}{#3}{#4}{#6}{arg~min}}
}{\textbf{\endBaseMiniStar}}


% Multiple reference
\DeclareDocumentEnvironment{mini!}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{min} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{min}}
	% Long version problem	
	{\setFormatLong{minimize} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{minimize}}
}{\endBaseMiniExclam}

\DeclareDocumentEnvironment{argmini!}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{arg~min}\BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{arg~min}}
	% Long version problem	
	{\setFormatLong{arg~min} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{arg~min}}
}{\endBaseMiniExclam}




%MAXIMIZATION ENVIRONMENTS

% Single reference probems
\DeclareDocumentEnvironment{maxi}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{max} \BaseMini{#2}{#3}{#4}{#5}{#6}{max}}
	% Long version problem	
	{\setFormatLong{maximize} \BaseMini{#2}{#3}{#4}{#5}{#6}{maximize}}
}{\endBaseMini}

\DeclareDocumentEnvironment{argmaxi}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{arg~max} \BaseMini{#2}{#3}{#4}{#5}{#6}{arg~max}}
	% Long version problem	
	{\setFormatLong{arg~max} \BaseMini{#2}{#3}{#4}{#5}{#6}{arg~max}}
}{\endBaseMini}


% No reference
\DeclareDocumentEnvironment{maxi*}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{max} \BaseMiniStar{#2}{#3}{#4}{#6}{max}}
	% Long version problem	
	{\setFormatLong{maximize} \BaseMiniStar{#2}{#3}{#4}{#6}{maximize}}
}{\textbf{\endBaseMiniStar}}

\DeclareDocumentEnvironment{argmaxi*}{D||{l} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{arg~max}\BaseMiniStar{#2}{#3}{#4}{#6}{arg~max}}
	% Long version problem	
	{\setFormatLong{arg~max} \BaseMiniStar{#2}{#3}{#4}{#6}{arg~max}}
}{\textbf{\endBaseMiniStar}}


% Multiple reference
\DeclareDocumentEnvironment{maxi!}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{max} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{max}}
	% Long version problem	
	{\setFormatLong{maximize} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{maximize}}
}{\endBaseMiniExclam}

\DeclareDocumentEnvironment{argmaxi!}{D||{\defaultProblemFormat} O{0} m m m m}
{\ifthenelse{\equal{#1}{s}}
	% Short version problem
	{\setFormatShort{arg~max}\BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{arg~max}}
	% Long version problem	
	{\setFormatLong{arg~max} \BaseMiniExclam{#2}{#3}{#4}{#5}{#6}{arg~max}}
}{\endBaseMiniExclam}