%% The LaTeX package tikzfill - version 1.0.1 (2023/08/08) %% tikzlibraryfill.hexagon.code.tex: filling with hexagon patterns %% %% ------------------------------------------------------------------------------------------- %% Copyright (c) 2022-2023 by Prof. Dr. Dr. Thomas F. Sturm %% ------------------------------------------------------------------------------------------- %% %% 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 `author-maintained'. %% %% This work consists of all files listed in README.md %% \ProvidesFile{tikzlibraryfill.hexagon.code.tex}[2023/08/08 v1.0.1 Hexagon pattern library] \usetikzlibrary{patterns.meta} \ifx\ExplSyntaxOn\undefined \input expl3-generic\relax \fi \ExplSyntaxOn \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_tmpa_fp { \pgfkeysvalueof{/pgf/pattern~keys/size} } \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l_tmpa_fp } \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l_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_tmpa_fp { \pgfkeysvalueof{/pgf/pattern~keys/size} } \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l_tmpa_fp } \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l_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_tmpa_fp { \pgfkeysvalueof{/pgf/pattern~keys/size} } \tl_set:Nx \l__tikzfill_hex_a_tl { \fp_to_dim:N \l_tmpa_fp } \tl_set:Nx \l__tikzfill_hex_b_tl { \fp_to_dim:n { \l_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_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_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_set: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