%!TEX pdflatex

\documentclass[]{article}
\usepackage[margin=1cm,a4paper]{geometry}
\usepackage{tikz,ifthen}

\newcommand{\mathman}[2][1]{%
  \begin{tikzpicture}[scale=#1,line width=\fpeval{#1*1.5mm},line cap=round,line join=round]
    %--head
    \draw (0,0) circle [radius=1.5] ;
    \filldraw (-0.575,0.2) circle[radius=0.15] ;
    \filldraw (0.3,0.215) circle[radius=0.15] ;
    \filldraw (-0.65,-0.325) to[bend right=10] (0.3,-0.25) to[bend left=70,looseness=2] cycle ;
    %--legs
    \draw (-70:1.5) to[bend left=5] coordinate[pos=0.215] (brasD) ++(0.7,-3.5) ;
    \draw (-110:1.5) to[bend right=5] coordinate[pos=0.215] (brasG) ++(-0.7,-3.5) ;
    %--arms
    \def\intrightarm{ node{}}
    \def\intleftarm{ node{}}
    \ifthenelse{\equal{#2}{linear}}%
      {\def\intrightarm{--++ (1.6,1.6)}\def\intleftarm{--++ (-1.6,-1.6)}}{}%
    \ifthenelse{\equal{#2}{quad}}%
      {\def\intrightarm{to[bend right=25]++ (1.5,2.5)}\def\intleftarm{to[bend left=25]++ (-1.5,2.5)}}{}%
    \ifthenelse{\equal{#2}{cub}}%
      {\def\intrightarm{to[bend right=22]++ (1.5,2.5)}\def\intleftarm{to[bend right=22]++ (-1.5,-2.5)}}{}%
    \ifthenelse{\equal{#2}{sin}}%
      {\def\intrightarm{to[bend left=60]++ (2,0)}\def\intleftarm{to[bend left=60]++ (-2,0)}}{}%
    \ifthenelse{\equal{#2}{cos}}%
      {\def\intrightarm{to[bend right=17.5] ++(1.2,-0.8) to[bend right=40] ++(0.8,0.6)}\def\intleftarm{to[bend left=17.5] ++(-1.2,-0.8) to[bend left=40] ++(-0.8,0.6)}}{}%
    \ifthenelse{\equal{#2}{tan}}%
      {\def\intrightarm{to[bend right=15]++ (1.35,2.5)}\def\intleftarm{to[bend right=15]++ (-1.35,-2.5)}}{}%
    \ifthenelse{\equal{#2}{cot}}%
      {\def\intrightarm{to[bend left=15]++ (1.35,-2.5)}\def\intleftarm{to[bend left=15]++ (-1.35,2.5)}}{}%
    \ifthenelse{\equal{#2}{abs}}%
      {\def\intrightarm{--++ (1.6,1.6)}\def\intleftarm{--++ (-1.6,1.6)}}{}%
    \ifthenelse{\equal{#2}{-abs}}%
      {\def\intrightarm{--++ (1.6,-1.6)}\def\intleftarm{--++ (-1.6,-1.6)}}{}%
    \ifthenelse{\equal{#2}{-linear}}%
      {\def\intrightarm{--++ (1.6,-1.6)}\def\intleftarm{--++ (-1.6,1.6)}}{}%
    \ifthenelse{\equal{#2}{loga}}%
      {\def\intrightarm{to[bend right=12]++ (2,-0.4)}\def\intleftarm{to[bend left=30]++ (120:2.5)}}{}%
    \ifthenelse{\equal{#2}{expa}}%
      {\def\intrightarm{to[bend right=30]++ (60:2.5)}\def\intleftarm{to[bend left=12]++ (-2,-0.4)}}{}%
    \ifthenelse{\equal{#2}{ccart}}%
      {\def\intrightarm{to[bend right=80,looseness=1.375] (85:2)}\def\intleftarm{to[bend left=80,looseness=1.375] (95:2)}}{}%
    \ifthenelse{\equal{#2}{inv}}%
      {\def\intrightarm{plot[smooth,tension=1,shift=(brasD)] coordinates {(0,0) (0.5,-0.4) (-0.5,-1) (-1,-1.65)}}\def\intleftarm{to[bend left=25]++ (-0.6,0.4) to[bend left=60] (-120:1.5)}}{}%
    \ifthenelse{\equal{#2}{-inv}}%
      {\def\intleftarm{plot[smooth,tension=1,shift=(brasG)] coordinates {(0,0) (-0.5,-0.4) (0.5,-1) (1,-1.65)}}\def\intrightarm{to[bend right=25]++ (0.6,0.4) to[bend right=60] (-60:1.5)}}{}%
    \draw (brasD) \intrightarm ;
    \draw (brasG) \intleftarm ;
  \end{tikzpicture}%
}

\newcommand\samplesmathman[1]{%
  \noindent%
  \begin{tabular}{ccccc}
    \hline
    \texttt{linear}&\texttt{quad}&\texttt{cub}&\texttt{sin}&\texttt{cos}\\
    \mathman[#1]{linear}&\mathman[#1]{quad}&\mathman[#1]{cub}&\mathman[#1]{sin}&\mathman[#1]{cos}\\\hline
    \texttt{tan}&\texttt{cot}&\texttt{inv}&\texttt{-inv}&\texttt{abs}\\
    \mathman[#1]{tan}&\mathman[#1]{cot}&\mathman[#1]{inv}&\mathman[#1]{-inv}&\mathman[#1]{abs}\\\hline
    \texttt{-abs}&\texttt{-linear}&\texttt{log}&\texttt{expa}&\texttt{ccart}\\
    \mathman[#1]{-abs}&\mathman[#1]{-linear}&\mathman[#1]{loga}&\mathman[#1]{expa}&\mathman[#1]{ccart}\\\hline
  \end{tabular}
  \noindent
}
\begin{document}

\samplesmathman{0.5}

\end{document}