% This LaTeX package provides numerous commands relevant to typesetting
% material related to manifolds and differential geometry.
\ProvidesPackage{mathsemantics-optimization}[2022/05/06]

% Resolve the dependencies of this package
\RequirePackage{mathsemantics-semantic}

% Define some symbols
\newcommand{\normalCone}{\cN}
\newcommand{\radialCone}{\cK}
\newcommand{\tangentCone}{\cT}
\newcommand{\linearizingCone}{\cT^{\textup{lin}}}

% Define a command for the radial cone
% The optional argument [#1] scales the delimiters
% Argument {#2} is the set
% Argument {#3} is the base point
\NewDocumentCommand{\radialcone}{ O{} m m }{\radialCone_{#2}\enclose[#1]{(}{#3}{)}}

% Define a command for the tangent cone
% The optional argument [#1] scales the delimiters
% Argument {#2} is the set
% Argument {#3} is the base point
\NewDocumentCommand{\tangentcone}{ O{} m m }{\tangentCone_{#2}\enclose[#1]{(}{#3}{)}}

% Define a command for the linearizing cone
% The optional argument [#1] scales the delimiters
% Argument {#2} is the set
% Argument {#3} is the base point
\NewDocumentCommand{\linearizingcone}{ O{} m m }{\linearizingCone_{#2}\enclose[#1]{(}{#3}{)}}

% Define a command for the normal cone
% The optional argument [#1] scales the delimiters
% Argument {#2} is the set
% Argument {#3} is the base point
\NewDocumentCommand{\normalcone}{ O{} m m }{\normalCone_{#2}\enclose[#1]{(}{#3}{)}}

% Define a command for the polar cone
% Argument {#1} is the set
\NewDocumentCommand{\polarcone}{ m }{#1^\circ}