%% The LaTeX package tikzfill - version 1.1.0 (2026/03/26)
%% tikzlibraryfill.hexagon.code.tex: filling with hexagon patterns
%%
%% -------------------------------------------------------------------------------------------
%% Copyright (c) 2022-2026 by Prof. Dr. Dr. Thomas F. Sturm <thomas dot sturm at unibw dot de>
%% -------------------------------------------------------------------------------------------
%%
%% 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 1.3c or later is part of all distributions of LaTeX
%% version 2008 or later.
%%
%% This work has the LPPL maintenance status `author-maintained'.
%%
%% This work consists of all files listed in README.md
%%
\ProvidesFile{tikzlibraryfill.hexagon.code.tex}[2026/03/26 v1.1.0 Hexagon pattern library]

\usetikzlibrary{patterns.meta}

\ExplSyntaxOn

\fp_zero_new:N \l__tikzfill_tmpa_fp

\int_new:N \l__tikzfill_hex_ring_int
\tl_new:N \l__tikzfill_hex_a_tl
\tl_new:N \l__tikzfill_hex_as_tl
\tl_new:N \l__tikzfill_hex_b_tl
\tl_new:N \l__tikzfill_hex_bs_tl
\tl_new:N \l__tikzfill_hex_linewidth_tl
\tl_new:N \l__tikzfill_hex_pos_tl

\pgfdeclarepattern
  {
    name = hexagon~grid,
    parameters =
      {
        \pgfkeysvalueof{ /pgf/pattern~keys/size },
        \pgfkeysvalueof{ /pgf/pattern~keys/angle },
        \pgfkeysvalueof{ /pgf/pattern~keys/xshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/yshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/line~width },
      },
    defaults =
      {
        size       /.initial = 8mm,
        angle      /.initial = 0,
        line~width /.initial = 0.4pt,
        xshift     /.initial = 0pt,
        yshift     /.initial = 0pt,
      },
    set~up~code =
      {
        \fp_set:Nn \l__tikzfill_tmpa_fp { \pgfkeysvalueof{ /pgf/pattern~keys/size } }
        \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l__tikzfill_tmpa_fp }
        \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l__tikzfill_tmpa_fp * sqrt(3)/2 } }
        \tl_set:Nx \l__tikzfill_hex_linewidth_tl  { \fp_to_dim:n { \pgfkeysvalueof{ /pgf/pattern~keys/line~width } } }
      },
    bottom~left =
      {
        \pgfpoint{ - \l__tikzfill_hex_b_tl - .1pt } { - \l__tikzfill_hex_a_tl - \l__tikzfill_hex_linewidth_tl }
      },
    top~right =
      {
        \pgfpoint{ \l__tikzfill_hex_b_tl + .1pt } { 2 * \l__tikzfill_hex_a_tl + .1pt }
      },
    tile~size =
      {
        \pgfpoint{ 2 * \l__tikzfill_hex_b_tl } { 3 * \l__tikzfill_hex_a_tl }
      },
    tile~transformation =
      {
        \pgftransformrotate{ \pgfkeysvalueof{ /pgf/pattern~keys/angle } }
        \pgftransformshift
          {
            \pgfpoint{ \pgfkeysvalueof{ /pgf/pattern~keys/xshift } }
                     { \pgfkeysvalueof{ /pgf/pattern~keys/yshift } }
          }
      },
    code=
      {
        \pgfsetlinewidth{ \l__tikzfill_hex_linewidth_tl }
        \pgfpathmoveto{\pgfpoint{ 0                       } { 2 * \l__tikzfill_hex_a_tl + .1pt }}
        \pgfpathlineto{\pgfpoint{ 0                       } { \l__tikzfill_hex_a_tl        }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_b_tl } { 0.5 * \l__tikzfill_hex_a_tl  }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_b_tl } { -0.5 * \l__tikzfill_hex_a_tl }}
        \pgfpathlineto{\pgfpoint{ 0                       } { - \l__tikzfill_hex_a_tl      }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_b_tl   } { -0.5 * \l__tikzfill_hex_a_tl }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_b_tl   } { 0.5 * \l__tikzfill_hex_a_tl  }}
        \pgfpathlineto{\pgfpoint{ 0                       } { \l__tikzfill_hex_a_tl        }}
        \pgfusepath{ stroke }
      }
  }

\tikzset{
  pattern~hexagon~grid /.style =
    {
      pattern= { hexagon~grid[#1] }
    }
}



\pgfdeclarepattern
  {
    name = hexagon,
    parameters =
      {
        \pgfkeysvalueof{ /pgf/pattern~keys/size },
        \pgfkeysvalueof{ /pgf/pattern~keys/angle },
        \pgfkeysvalueof{ /pgf/pattern~keys/xshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/yshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/line~width },
        \pgfkeysvalueof{ /pgf/pattern~keys/pos },
        \pgfkeysvalueof{ /pgf/pattern~keys/band },
        \pgfkeysvalueof{ /pgf/pattern~keys/_fill_ },
      },
    defaults =
      {
        size       /.initial = 8mm,
        angle      /.initial = 0,
        xshift     /.initial = 0pt,
        yshift     /.initial = 0pt,
        line~width /.initial = 0.4pt,
        pos        /.initial = 0.8,
        band       /.initial = 0,
        _fill_     /.initial = 1,
        fill       /.style = { _fill_=1 },
        draw       /.style = { _fill_=0 },
      },
    set~up~code =
      {
        \fp_set:Nn \l__tikzfill_tmpa_fp { \pgfkeysvalueof{ /pgf/pattern~keys/size } }
        \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l__tikzfill_tmpa_fp }
        \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l__tikzfill_tmpa_fp * sqrt(3)/2 } }
        \tl_set:Nx \l__tikzfill_hex_linewidth_tl  { \fp_to_dim:n { \pgfkeysvalueof{ /pgf/pattern~keys/line~width } } }
        \tl_set:Nx \l__tikzfill_hex_pos_tl
          {
            \fp_to_decimal:n { min ( 1 , max( 0, \pgfkeysvalueof{ /pgf/pattern~keys/pos } )) }
          }
      },
    bottom~left =
      {
        \pgfpoint{ - \l__tikzfill_hex_b_tl - \l__tikzfill_hex_linewidth_tl }
                 { - \l__tikzfill_hex_a_tl - \l__tikzfill_hex_linewidth_tl }
      },
    top~right =
      {
        \pgfpoint{ \l__tikzfill_hex_b_tl + \l__tikzfill_hex_linewidth_tl }
                 { 2 * \l__tikzfill_hex_a_tl + \l__tikzfill_hex_linewidth_tl }
      },
    tile~size =
      {
        \pgfpoint{ 2 * \l__tikzfill_hex_b_tl } { 3 * \l__tikzfill_hex_a_tl }
      },
    tile~transformation =
      {
        \pgftransformrotate{ \pgfkeysvalueof{ /pgf/pattern~keys/angle } }
        \int_compare:nNnTF { \pgfkeysvalueof{ /pgf/pattern~keys/band } } = { 0 }
        {
          \pgftransformshift
            {
              \pgfpoint{ \pgfkeysvalueof{ /pgf/pattern~keys/xshift } }
                       { \pgfkeysvalueof{ /pgf/pattern~keys/yshift } }
            }
        }
        {
          \pgftransformshift
            {
              \pgfpoint{ \pgfkeysvalueof{ /pgf/pattern~keys/xshift } - \l__tikzfill_hex_b_tl }
                       { \pgfkeysvalueof{ /pgf/pattern~keys/yshift } + 1.5 * \l__tikzfill_hex_a_tl }
            }
        }
      },
    code=
      {
        \tl_set:Nx \l__tikzfill_hex_as_tl { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_a_tl }}
        \tl_set:Nx \l__tikzfill_hex_bs_tl { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_b_tl }}
        \pgfpathmoveto{\pgfpoint{ 0                        } { \l__tikzfill_hex_as_tl        }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { 0.5 * \l__tikzfill_hex_as_tl  }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { -0.5 * \l__tikzfill_hex_as_tl }}
        \pgfpathlineto{\pgfpoint{ 0                        } { - \l__tikzfill_hex_as_tl      }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { -0.5 * \l__tikzfill_hex_as_tl }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { 0.5 * \l__tikzfill_hex_as_tl  }}
        \pgfpathclose
        \int_compare:nNnTF { \pgfkeysvalueof{ /pgf/pattern~keys/_fill_ } } = { 1 }
          {
            \pgfusepath{ fill }
          }
          {
            \pgfsetlinewidth{ \l__tikzfill_hex_linewidth_tl }
            \pgfusepath{ stroke }
          }
      }
  }


\tikzset{
  pattern~hexagon /.style =
    {
      preaction= { pattern= { hexagon[#1,band=1] } },
      pattern= { hexagon[#1,band=0] }
    }
}



\pgfdeclarepattern
  {
    name = hexagon~cycle,
    parameters =
      {
        \pgfkeysvalueof{ /pgf/pattern~keys/size },
        \pgfkeysvalueof{ /pgf/pattern~keys/angle },
        \pgfkeysvalueof{ /pgf/pattern~keys/xshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/yshift },
        \pgfkeysvalueof{ /pgf/pattern~keys/rings },
        \pgfkeysvalueof{ /pgf/pattern~keys/gap },
        \pgfkeysvalueof{ /pgf/pattern~keys/band },
      },
    defaults =
      {
        size       /.initial = 8mm,
        angle      /.initial = 0,
        xshift     /.initial = 0pt,
        yshift     /.initial = 0pt,
        rings      /.initial = 3,
        gap        /.initial = 1,
        band       /.initial = 0,
      },
    set~up~code =
      {
        \fp_set:Nn \l__tikzfill_tmpa_fp { \pgfkeysvalueof{ /pgf/pattern~keys/size } }
        \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l__tikzfill_tmpa_fp }
        \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l__tikzfill_tmpa_fp * sqrt(3)/2 } }
        \int_set:Nn \l__tikzfill_hex_ring_int { \fp_to_int:n { max ( 0, \pgfkeysvalueof{ /pgf/pattern~keys/rings } ) }}
        \fp_set:Nn \l__tikzfill_tmpa_fp { max ( 0.01, \pgfkeysvalueof{ /pgf/pattern~keys/gap } ) }
        \tl_set:Nx \l__tikzfill_hex_linewidth_tl  { \fp_to_dim:n
          {
            \l__tikzfill_hex_b_tl / (( \l__tikzfill_hex_ring_int + 0.5 )*( 1 + \l__tikzfill_tmpa_fp ))
          }}
      },
    bottom~left =
      {
        \pgfpoint{ - \l__tikzfill_hex_b_tl } { - \l__tikzfill_hex_a_tl }
      },
    top~right =
      {
        \pgfpoint{ \l__tikzfill_hex_b_tl } { 2 * \l__tikzfill_hex_a_tl }
      },
    tile~size =
      {
        \pgfpoint{ 2 * \l__tikzfill_hex_b_tl } { 3 * \l__tikzfill_hex_a_tl }
      },
    tile~transformation =
      {
        \pgftransformrotate{ \pgfkeysvalueof{ /pgf/pattern~keys/angle } }
        \int_compare:nNnTF { \pgfkeysvalueof{ /pgf/pattern~keys/band } } = { 0 }
        {
          \pgftransformshift
            {
              \pgfpoint{ \pgfkeysvalueof{ /pgf/pattern~keys/xshift } }
                       { \pgfkeysvalueof{ /pgf/pattern~keys/yshift } }
            }
        }
        {
          \pgftransformshift
            {
              \pgfpoint{ \pgfkeysvalueof{ /pgf/pattern~keys/xshift } - \l__tikzfill_hex_b_tl }
                       { \pgfkeysvalueof{ /pgf/pattern~keys/yshift } + 1.5 * \l__tikzfill_hex_a_tl }
            }
        }
      },
    code=
      {
        \tl_set:Nn  \l__tikzfill_hex_pos_tl { \l__tikzfill_hex_linewidth_tl / 2 / \l__tikzfill_hex_b_tl }
        \tl_set:Nx \l__tikzfill_hex_as_tl { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_a_tl } }
        \tl_set:Nx \l__tikzfill_hex_bs_tl { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_b_tl } }
        \pgfpathmoveto{\pgfpoint{ 0                        } { \l__tikzfill_hex_as_tl        }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { 0.5 * \l__tikzfill_hex_as_tl  }}
        \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { -0.5 * \l__tikzfill_hex_as_tl }}
        \pgfpathlineto{\pgfpoint{ 0                        } { - \l__tikzfill_hex_as_tl      }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { -0.5 * \l__tikzfill_hex_as_tl }}
        \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { 0.5 * \l__tikzfill_hex_as_tl  }}
        \pgfpathclose
        \pgfusepath{ fill }
        %
        \pgfsetlinewidth{ \l__tikzfill_hex_linewidth_tl }
        \int_step_function:nN { \l__tikzfill_hex_ring_int } \__tikzfill_hex_draw_ring:n
      }
  }


\cs_new_nopar:Npn \__tikzfill_hex_draw_ring:n #1
  {
    \tl_set:Nn \l__tikzfill_hex_pos_tl { #1 / ( \l__tikzfill_hex_ring_int + 0.5 ) }
    \tl_set:Nx \l__tikzfill_hex_as_tl  { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_a_tl } }
    \tl_set:Nx \l__tikzfill_hex_bs_tl  { \fp_to_dim:n { \l__tikzfill_hex_pos_tl * \l__tikzfill_hex_b_tl } }
    \pgfpathmoveto{\pgfpoint{ 0                        } { \l__tikzfill_hex_as_tl        }}
    \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { 0.5 * \l__tikzfill_hex_as_tl  }}
    \pgfpathlineto{\pgfpoint{ - \l__tikzfill_hex_bs_tl } { -0.5 * \l__tikzfill_hex_as_tl }}
    \pgfpathlineto{\pgfpoint{ 0                        } { - \l__tikzfill_hex_as_tl      }}
    \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { -0.5 * \l__tikzfill_hex_as_tl }}
    \pgfpathlineto{\pgfpoint{ \l__tikzfill_hex_bs_tl   } { 0.5 * \l__tikzfill_hex_as_tl  }}
    \pgfpathclose
    \pgfusepath{ stroke }
  }


\tikzset{
  pattern~hexagon~cycle /.style =
    {
      preaction= { pattern= { hexagon~cycle[#1,band=1] }},
      pattern= { hexagon~cycle[#1,band=0] }
    }
}


\ExplSyntaxOff
