Plotting the arctanh












5














I've been trying to plot the arctanh function for a while now



documentclass{article}
usepackage{tikz}
usepackage{pgfplots}

begin{document}
pgfkeys{/pgf/declare function={arctanh(x) = 0.5*ln(1+x)/ln(1-x);}}
vspace{1cm}

begin{tikzpicture}[trim axis left]
begin{axis}[
xmin=-1, xmax=1,
ymin=-1, ymax=1,
samples=100,
enlarge x limits=false,
grid=both,
no markers,
axis equal]
addplot +[thick] {arctanh(x)};
end{axis}
end{tikzpicture}
end{document}


but it doesn't look right, what am I doing wrong?










share|improve this question



























    5














    I've been trying to plot the arctanh function for a while now



    documentclass{article}
    usepackage{tikz}
    usepackage{pgfplots}

    begin{document}
    pgfkeys{/pgf/declare function={arctanh(x) = 0.5*ln(1+x)/ln(1-x);}}
    vspace{1cm}

    begin{tikzpicture}[trim axis left]
    begin{axis}[
    xmin=-1, xmax=1,
    ymin=-1, ymax=1,
    samples=100,
    enlarge x limits=false,
    grid=both,
    no markers,
    axis equal]
    addplot +[thick] {arctanh(x)};
    end{axis}
    end{tikzpicture}
    end{document}


    but it doesn't look right, what am I doing wrong?










    share|improve this question

























      5












      5








      5







      I've been trying to plot the arctanh function for a while now



      documentclass{article}
      usepackage{tikz}
      usepackage{pgfplots}

      begin{document}
      pgfkeys{/pgf/declare function={arctanh(x) = 0.5*ln(1+x)/ln(1-x);}}
      vspace{1cm}

      begin{tikzpicture}[trim axis left]
      begin{axis}[
      xmin=-1, xmax=1,
      ymin=-1, ymax=1,
      samples=100,
      enlarge x limits=false,
      grid=both,
      no markers,
      axis equal]
      addplot +[thick] {arctanh(x)};
      end{axis}
      end{tikzpicture}
      end{document}


      but it doesn't look right, what am I doing wrong?










      share|improve this question













      I've been trying to plot the arctanh function for a while now



      documentclass{article}
      usepackage{tikz}
      usepackage{pgfplots}

      begin{document}
      pgfkeys{/pgf/declare function={arctanh(x) = 0.5*ln(1+x)/ln(1-x);}}
      vspace{1cm}

      begin{tikzpicture}[trim axis left]
      begin{axis}[
      xmin=-1, xmax=1,
      ymin=-1, ymax=1,
      samples=100,
      enlarge x limits=false,
      grid=both,
      no markers,
      axis equal]
      addplot +[thick] {arctanh(x)};
      end{axis}
      end{tikzpicture}
      end{document}


      but it doesn't look right, what am I doing wrong?







      tikz-pgf






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Dec 19 at 9:47









      Three Diag

      20727




      20727






















          2 Answers
          2






          active

          oldest

          votes


















          6














          It does not look right because there is a small mistake in the definition of arctanh.



          documentclass{article}
          usepackage{tikz}
          usepackage{pgfplots}

          begin{document}
          pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln(1+x)-ln(1-x));}}
          vspace{1cm}

          begin{tikzpicture}[trim axis left]
          begin{axis}[
          xmin=-1, xmax=1,
          ymin=-1, ymax=1,
          samples=100,
          enlarge x limits=false,
          grid=both,
          no markers,
          axis equal]
          addplot +[thick] {arctanh(x)};
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          Or, a somewhat closer representations to yours and a domain that avoids the warnings.



          documentclass{article}
          usepackage{tikz}
          usepackage{pgfplots}
          pgfplotsset{compat=1.16}

          begin{document}
          pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln((1+x)/(1-x)));}}
          vspace{1cm}

          begin{tikzpicture}[trim axis left]
          begin{axis}[
          xmin=-1, xmax=1,
          ymin=-1, ymax=1,
          samples=100,
          enlarge x limits=false,
          grid=both,
          no markers,
          axis equal]
          addplot +[thick,domain=-0.99:0.99] {arctanh(x)};
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer





























            4














            For comparism purpose: run with xelatex



            documentclass{article}
            usepackage{pstricks,pst-math,pst-plot}
            begin{document}
            begin{pspicture}[algebraic](-5,-4)(5,4)
            psaxes{->}(0,0)(-5,-4)(5,4)
            psplot[linewidth=1.5pt,linecolor=blue]{1}{5}{ACOSH(x)}
            psplot[linewidth=1.5pt,linecolor=red]{-5}{5}{ASINH(x)}
            psplot[linewidth=1.5pt,linecolor=green]{-.999}{.999}{ATANH(x)}
            end{pspicture}

            end{document}


            enter image description here






            share|improve this answer





















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              2 Answers
              2






              active

              oldest

              votes








              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              6














              It does not look right because there is a small mistake in the definition of arctanh.



              documentclass{article}
              usepackage{tikz}
              usepackage{pgfplots}

              begin{document}
              pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln(1+x)-ln(1-x));}}
              vspace{1cm}

              begin{tikzpicture}[trim axis left]
              begin{axis}[
              xmin=-1, xmax=1,
              ymin=-1, ymax=1,
              samples=100,
              enlarge x limits=false,
              grid=both,
              no markers,
              axis equal]
              addplot +[thick] {arctanh(x)};
              end{axis}
              end{tikzpicture}
              end{document}


              enter image description here



              Or, a somewhat closer representations to yours and a domain that avoids the warnings.



              documentclass{article}
              usepackage{tikz}
              usepackage{pgfplots}
              pgfplotsset{compat=1.16}

              begin{document}
              pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln((1+x)/(1-x)));}}
              vspace{1cm}

              begin{tikzpicture}[trim axis left]
              begin{axis}[
              xmin=-1, xmax=1,
              ymin=-1, ymax=1,
              samples=100,
              enlarge x limits=false,
              grid=both,
              no markers,
              axis equal]
              addplot +[thick,domain=-0.99:0.99] {arctanh(x)};
              end{axis}
              end{tikzpicture}
              end{document}


              enter image description here






              share|improve this answer


























                6














                It does not look right because there is a small mistake in the definition of arctanh.



                documentclass{article}
                usepackage{tikz}
                usepackage{pgfplots}

                begin{document}
                pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln(1+x)-ln(1-x));}}
                vspace{1cm}

                begin{tikzpicture}[trim axis left]
                begin{axis}[
                xmin=-1, xmax=1,
                ymin=-1, ymax=1,
                samples=100,
                enlarge x limits=false,
                grid=both,
                no markers,
                axis equal]
                addplot +[thick] {arctanh(x)};
                end{axis}
                end{tikzpicture}
                end{document}


                enter image description here



                Or, a somewhat closer representations to yours and a domain that avoids the warnings.



                documentclass{article}
                usepackage{tikz}
                usepackage{pgfplots}
                pgfplotsset{compat=1.16}

                begin{document}
                pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln((1+x)/(1-x)));}}
                vspace{1cm}

                begin{tikzpicture}[trim axis left]
                begin{axis}[
                xmin=-1, xmax=1,
                ymin=-1, ymax=1,
                samples=100,
                enlarge x limits=false,
                grid=both,
                no markers,
                axis equal]
                addplot +[thick,domain=-0.99:0.99] {arctanh(x)};
                end{axis}
                end{tikzpicture}
                end{document}


                enter image description here






                share|improve this answer
























                  6












                  6








                  6






                  It does not look right because there is a small mistake in the definition of arctanh.



                  documentclass{article}
                  usepackage{tikz}
                  usepackage{pgfplots}

                  begin{document}
                  pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln(1+x)-ln(1-x));}}
                  vspace{1cm}

                  begin{tikzpicture}[trim axis left]
                  begin{axis}[
                  xmin=-1, xmax=1,
                  ymin=-1, ymax=1,
                  samples=100,
                  enlarge x limits=false,
                  grid=both,
                  no markers,
                  axis equal]
                  addplot +[thick] {arctanh(x)};
                  end{axis}
                  end{tikzpicture}
                  end{document}


                  enter image description here



                  Or, a somewhat closer representations to yours and a domain that avoids the warnings.



                  documentclass{article}
                  usepackage{tikz}
                  usepackage{pgfplots}
                  pgfplotsset{compat=1.16}

                  begin{document}
                  pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln((1+x)/(1-x)));}}
                  vspace{1cm}

                  begin{tikzpicture}[trim axis left]
                  begin{axis}[
                  xmin=-1, xmax=1,
                  ymin=-1, ymax=1,
                  samples=100,
                  enlarge x limits=false,
                  grid=both,
                  no markers,
                  axis equal]
                  addplot +[thick,domain=-0.99:0.99] {arctanh(x)};
                  end{axis}
                  end{tikzpicture}
                  end{document}


                  enter image description here






                  share|improve this answer












                  It does not look right because there is a small mistake in the definition of arctanh.



                  documentclass{article}
                  usepackage{tikz}
                  usepackage{pgfplots}

                  begin{document}
                  pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln(1+x)-ln(1-x));}}
                  vspace{1cm}

                  begin{tikzpicture}[trim axis left]
                  begin{axis}[
                  xmin=-1, xmax=1,
                  ymin=-1, ymax=1,
                  samples=100,
                  enlarge x limits=false,
                  grid=both,
                  no markers,
                  axis equal]
                  addplot +[thick] {arctanh(x)};
                  end{axis}
                  end{tikzpicture}
                  end{document}


                  enter image description here



                  Or, a somewhat closer representations to yours and a domain that avoids the warnings.



                  documentclass{article}
                  usepackage{tikz}
                  usepackage{pgfplots}
                  pgfplotsset{compat=1.16}

                  begin{document}
                  pgfkeys{/pgf/declare function={arctanh(x) = 0.5*(ln((1+x)/(1-x)));}}
                  vspace{1cm}

                  begin{tikzpicture}[trim axis left]
                  begin{axis}[
                  xmin=-1, xmax=1,
                  ymin=-1, ymax=1,
                  samples=100,
                  enlarge x limits=false,
                  grid=both,
                  no markers,
                  axis equal]
                  addplot +[thick,domain=-0.99:0.99] {arctanh(x)};
                  end{axis}
                  end{tikzpicture}
                  end{document}


                  enter image description here







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered Dec 19 at 12:25









                  marmot

                  85.9k499183




                  85.9k499183























                      4














                      For comparism purpose: run with xelatex



                      documentclass{article}
                      usepackage{pstricks,pst-math,pst-plot}
                      begin{document}
                      begin{pspicture}[algebraic](-5,-4)(5,4)
                      psaxes{->}(0,0)(-5,-4)(5,4)
                      psplot[linewidth=1.5pt,linecolor=blue]{1}{5}{ACOSH(x)}
                      psplot[linewidth=1.5pt,linecolor=red]{-5}{5}{ASINH(x)}
                      psplot[linewidth=1.5pt,linecolor=green]{-.999}{.999}{ATANH(x)}
                      end{pspicture}

                      end{document}


                      enter image description here






                      share|improve this answer


























                        4














                        For comparism purpose: run with xelatex



                        documentclass{article}
                        usepackage{pstricks,pst-math,pst-plot}
                        begin{document}
                        begin{pspicture}[algebraic](-5,-4)(5,4)
                        psaxes{->}(0,0)(-5,-4)(5,4)
                        psplot[linewidth=1.5pt,linecolor=blue]{1}{5}{ACOSH(x)}
                        psplot[linewidth=1.5pt,linecolor=red]{-5}{5}{ASINH(x)}
                        psplot[linewidth=1.5pt,linecolor=green]{-.999}{.999}{ATANH(x)}
                        end{pspicture}

                        end{document}


                        enter image description here






                        share|improve this answer
























                          4












                          4








                          4






                          For comparism purpose: run with xelatex



                          documentclass{article}
                          usepackage{pstricks,pst-math,pst-plot}
                          begin{document}
                          begin{pspicture}[algebraic](-5,-4)(5,4)
                          psaxes{->}(0,0)(-5,-4)(5,4)
                          psplot[linewidth=1.5pt,linecolor=blue]{1}{5}{ACOSH(x)}
                          psplot[linewidth=1.5pt,linecolor=red]{-5}{5}{ASINH(x)}
                          psplot[linewidth=1.5pt,linecolor=green]{-.999}{.999}{ATANH(x)}
                          end{pspicture}

                          end{document}


                          enter image description here






                          share|improve this answer












                          For comparism purpose: run with xelatex



                          documentclass{article}
                          usepackage{pstricks,pst-math,pst-plot}
                          begin{document}
                          begin{pspicture}[algebraic](-5,-4)(5,4)
                          psaxes{->}(0,0)(-5,-4)(5,4)
                          psplot[linewidth=1.5pt,linecolor=blue]{1}{5}{ACOSH(x)}
                          psplot[linewidth=1.5pt,linecolor=red]{-5}{5}{ASINH(x)}
                          psplot[linewidth=1.5pt,linecolor=green]{-.999}{.999}{ATANH(x)}
                          end{pspicture}

                          end{document}


                          enter image description here







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered Dec 19 at 12:47









                          Herbert

                          269k24407717




                          269k24407717






























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