%%% ----------------------------------------------------------------------------
%%% suanpan: draw suanpan(abacus) with LaTeX3
%%% Author    : Nan Geng <nangeng@nwafu.edu.cn>
%%% Repository: https://gitee.com/nwafu_nan/suan-span
%%% License   : The LaTeX Project Public License 1.3c
%%% ----------------------------------------------------------------------------

\NeedsTeXFormat{LaTeX2e}[2020/10/01]
\RequirePackage{expl3}
% \ProvidesExplPackage{suanpan}{2024-08-20}{v1.0.0} % 初稿
% \ProvidesExplPackage{suanpan}{2024-08-28}{v1.1.0} % 优化(统一尺寸计算，添加空白占位)
\ProvidesExplPackage{suanpan-l3}{2024-08-30}{v1.1.1} % 更名为suanpan-l3
  {draw suanpan(abacus) with LaTeX3}

\RequirePackage{l3keys2e}
\RequirePackage{xparse}
\RequirePackage{l3draw}

\cs_new:Npn \__suanpan_error:n { \msg_error:nn { suanpan(abacus) } }

% 盒子容器总高度计算函数
\cs_new_nopar:Npn \__suanpan_coffin_ht_plus_dp:N #1
  {
    \coffin_ht:N #1 + \coffin_dp:N #1
  }

% =============颜色处理函数=============
% 填充色辅助函数
\cs_new_nopar:Nn \__suanpan_aux_color_boxfill:
  { }

% 颜色命名函数
% #1 颜色名称
% #2 颜色表达式
\cs_set_nopar:Npn \__suanpan_color_select:nn #1#2
  {
    \color_set:nn {#1} {#2}
  }
\cs_generate_variant:Nn \__suanpan_color_select:nn {nx}

% 颜色命名函数
% #1 颜色名称
% #2 颜色空间
% #3 颜色分量值
\cs_set_nopar:Npn \__suanpan_color_select:nnn #1#2#3
  {
    \color_set:nnn {#1} {#2} {#3}
  }
\cs_generate_variant:Nn \__suanpan_color_select:nnn {nnx}

% 定义变量
% 算盘基础尺寸
\dim_new:N \l__suanpan_bid_h_dim
\dim_new:N \l__suanpan_bid_d_dim
\dim_new:N \l__suanpan_bid_sep_dim
\dim_new:N \l__suanpan_rod_sep_dim
\dim_new:N \l__suanpan_rod_d_dim
\dim_new:N \l__suanpan_frame_b_dim

% 算盘基础尺寸初值(参考 QBT1747-1993 算盘标准)
\dim_set:Nn \l__suanpan_bid_h_dim { 12mm }
\dim_set:Nn \l__suanpan_bid_d_dim { 23mm }
\dim_set:Nn \l__suanpan_bid_sep_dim { 1.8pt }
\dim_set:Nn \l__suanpan_rod_sep_dim { 4pt }
\dim_set:Nn \l__suanpan_rod_d_dim { 7mm }
\dim_set:Nn \l__suanpan_frame_b_dim { 11mm }

% 半长度
\dim_new:N \l__suanpan_bid_h_half_dim
\dim_new:N \l__suanpan_bid_d_half_dim
\dim_new:N \l__suanpan_rod_d_half_dim
\dim_new:N \l__suanpan_frame_b_half_dim

% 上珠偏移
\dim_new:N \l__suanpan_bid_upper_offset_dim
% 下珠偏移
\dim_new:N \l__suanpan_bid_lower_offset_dim
% 上档杆长度
\dim_new:N \l__suanpan_rod_upper_h_dim
% 下档杆长度
\dim_new:N \l__suanpan_rod_lower_h_dim
% 上档杆偏移
\dim_new:N \l__suanpan_rod_upper_offset_dim
% 下档杆偏移
\dim_new:N \l__suanpan_rod_lower_offset_dim
% 上边框内线偏移
\dim_new:N \l__suanpan_frame_upper_inner_offset_dim
% 下边框内线偏移
\dim_new:N \l__suanpan_frame_lower_inner_offset_dim
% 上边框外线偏移
\dim_new:N \l__suanpan_frame_upper_outer_offset_dim
% 下边框外线偏移
\dim_new:N \l__suanpan_frame_lower_outer_offset_dim
% 算珠上边缘
\dim_new:N \l__suanpan_bid_upper_dim
% 算珠下边缘
\dim_new:N \l__suanpan_bid_lower_dim
% 算珠圆角半径
\dim_new:N \l__suanpan_bid_arc_dim
% 横梁计位点半径
\dim_new:N \l__suanpan_frame_unit_r_dim
% 边框外线半宽度
\dim_new:N \l__suanpan_frame_outer_half_dim
% 档杆总成宽度
\dim_new:N \l__suanpan_support_d_dim
% 档杆总成半宽度
\dim_new:N \l__suanpan_support_d_half_dim
% 上档杆总成高度
\dim_new:N \l__suanpan_support_upper_dim
% 下档杆总成高度
\dim_new:N \l__suanpan_support_lower_dim
% 档杆总成组装垂直偏移
\dim_new:N \l__suanpan_support_y_offset_dim

% 上边框外线位置
\dim_new:N \l__suanpan_frame_outer_upper_dim
% 下边框外线位置
\dim_new:N \l__suanpan_frame_outer_lower_dim
% 上边框内线位置
\dim_new:N \l__suanpan_frame_inner_upper_dim
% 下边框内线位置
\dim_new:N \l__suanpan_frame_inner_lower_dim
% 左右边框外线偏移
\dim_new:N \l__suanpan_frame_outer_lr_offset_dim
% 左右边框外线圆角半径
\dim_new:N \l__suanpan_frame_outer_arc_dim

\dim_new:N \l__suanpan_frame_inner_linewidth_dim
\dim_new:N \l__suanpan_frame_outer_linewidth_dim
\dim_new:N \l__suanpan_rod_linewidth_dim
\dim_new:N \l__suanpan_bid_linewidth_dim

% 状态变量
\bool_new:N \l__suanpan_support_frame_bool
\bool_set_true:N \l__suanpan_support_frame_bool
\bool_new:N \l__suanpan_support_unit_bool
\bool_set_false:N \l__suanpan_support_unit_bool
\bool_new:N \l__suanpan_draft_bool

% 容器(盒子)
\coffin_new:N \l__suanpan_inner_bid_coffin
\coffin_new:N \l__suanpan_outer_bid_coffin
\coffin_new:N \l__suanpan_float_bid_coffin
\coffin_new:N \l__suanpan_support_coffin
\coffin_new:N \l__suanpan_empty_support_coffin

% 凭据表(Token)
\tl_new:N \l__suanpan_bid_draw_color_tl
\tl_new:N \l__suanpan_bid_fill_color_tl
\tl_new:N \l__suanpan_scale_tl

% 档位最大值
\int_new:N \l__suanpan_rod_max_int
\int_zero:N \l__suanpan_rod_max_int

% 档位算珠位置列表
\clist_new:N \l__suanpan_bids_pos_clist

% 档位数字与算珠位置对照属性表常量(内珠和外珠)
% {x, y}==>x: 算珠位置(1-11, 1-7---下珠，8-10---上珠，11---悬珠)
%          y: 算珠类型(0---外珠，1---内珠)
\prop_const_from_keyval:Nn \l__suanpan_rods_val_prop
  {
    0  = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {5, 0}, {9, 0}, {10, 0}},
    1  = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {7, 1}, {9, 0}, {10, 0}},
    2  = {{1, 0}, {2, 0}, {3, 0}, {6, 1}, {7, 1}, {9, 0}, {10, 0}},
    3  = {{1, 0}, {2, 0}, {5, 1}, {6, 1}, {7, 1}, {9, 0}, {10, 0}},
    4  = {{1, 0}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {9, 0}, {10, 0}},
    5  = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {5, 0}, {8, 1}, {10, 0}},
    6  = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {7, 1}, {8, 1}, {10, 0}},
    7  = {{1, 0}, {2, 0}, {3, 0}, {6, 1}, {7, 1}, {8, 1}, {10, 0}},
    8  = {{1, 0}, {2, 0}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {10, 0}},
    9  = {{1, 0}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {10, 0}},
    10 = {{3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {10, 0}},
    11 = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {7, 1}, {8, 1}, {9 , 1}},
    12 = {{1, 0}, {2, 0}, {3, 0}, {6, 1}, {7, 1}, {8, 1}, {9 , 1}},
    13 = {{1, 0}, {2, 0}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {9 , 1}},
    14 = {{1, 0}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {9 , 1}},
    15 = {{3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {9 , 1}},
    16 = {{1, 0}, {2, 0}, {3, 0}, {4, 0}, {7, 1}, {8, 1}, {11, 1}},
    17 = {{1, 0}, {2, 0}, {3, 0}, {6, 1}, {7, 1}, {8, 1}, {11, 1}},
    18 = {{1, 0}, {2, 0}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {11, 1}},
    19 = {{1, 0}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {11, 1}},
    20 = {{3, 1}, {4, 1}, {5, 1}, {6, 1}, {7, 1}, {8, 1}, {11, 1}}
  }

% 尺寸计算函数
\cs_new:Nn \__suanpan_dim_calc:
  {
    % 基础尺寸半长度
    \dim_set:Nn \l__suanpan_bid_h_half_dim { \l__suanpan_bid_h_dim / 2 }
    \dim_set:Nn \l__suanpan_bid_d_half_dim { \l__suanpan_bid_d_dim / 2 }
    \dim_set:Nn \l__suanpan_rod_d_half_dim { \l__suanpan_rod_d_dim / 2 }
    \dim_set:Nn \l__suanpan_frame_b_half_dim { \l__suanpan_frame_b_dim / 2 }
    % 上珠偏移(8号算珠)
    \dim_set:Nn \l__suanpan_bid_upper_offset_dim
              { \l__suanpan_frame_b_half_dim + \l__suanpan_bid_h_half_dim }
    % 下珠偏移(1号算珠)
    \dim_set:Nn \l__suanpan_bid_lower_offset_dim
             { -\l__suanpan_frame_b_half_dim - \l__suanpan_bid_h_dim * 7 +
                \l__suanpan_bid_h_half_dim }
    % 上档杆长度
    \dim_set:Nn \l__suanpan_rod_upper_h_dim { \l__suanpan_bid_h_dim * 3 }
    % 下档杆长度
    \dim_set:Nn \l__suanpan_rod_lower_h_dim { \l__suanpan_bid_h_dim * 7 }
    % 上档杆偏移
    \dim_set:Nn \l__suanpan_rod_upper_offset_dim { \l__suanpan_frame_b_half_dim }
    % 下档杆偏移
    \dim_set:Nn \l__suanpan_rod_lower_offset_dim
              { -\l__suanpan_frame_b_half_dim - \l__suanpan_rod_lower_h_dim }
    % 上边框内线偏移
    \dim_set:Nn \l__suanpan_frame_upper_inner_offset_dim
              { \l__suanpan_frame_b_half_dim + \l__suanpan_rod_upper_h_dim }
    % 下边框内线偏移
    \dim_set:Nn \l__suanpan_frame_lower_inner_offset_dim
             { -\l__suanpan_frame_b_half_dim - \l__suanpan_rod_lower_h_dim }
    % 上边框外线偏移
    \dim_set:Nn \l__suanpan_frame_upper_outer_offset_dim
              { \l__suanpan_frame_b_dim + \l__suanpan_frame_b_half_dim +
                \l__suanpan_rod_upper_h_dim }
    % 下边框外线偏移
    \dim_set:Nn \l__suanpan_frame_lower_outer_offset_dim
             { -\l__suanpan_frame_b_dim - \l__suanpan_frame_b_half_dim -
                \l__suanpan_rod_lower_h_dim }
    % 算珠上边缘
    \dim_set:Nn \l__suanpan_bid_upper_dim
              { \l__suanpan_bid_h_half_dim - \l__suanpan_bid_sep_dim }
    % 算珠上边缘
    \dim_set:Nn \l__suanpan_bid_lower_dim
             { -\l__suanpan_bid_h_half_dim + \l__suanpan_bid_sep_dim }
    % 算珠圆角半径
    \dim_set:Nn \l__suanpan_bid_arc_dim { \l__suanpan_bid_upper_dim - 1pt}

    % 横梁计位点半径
    \dim_set:Nn \l__suanpan_frame_unit_r_dim { \l__suanpan_frame_b_dim / 4 }

    % 边框外线半宽度
    \dim_set:Nn \l__suanpan_frame_outer_half_dim
              { \l__suanpan_frame_outer_linewidth_dim / 2 }
    % 档杆总成宽度
    \dim_set:Nn \l__suanpan_support_d_dim
              { \l__suanpan_bid_d_dim + \l__suanpan_rod_sep_dim }
    % 档杆总成半宽度
    \dim_set:Nn \l__suanpan_support_d_half_dim
              { \l__suanpan_bid_d_half_dim + \l__suanpan_rod_sep_dim / 2 }
    % 上档杆总成高度
    \dim_set:Nn \l__suanpan_support_upper_dim
              { \l__suanpan_frame_upper_outer_offset_dim -
                \l__suanpan_frame_outer_half_dim }
    % 下档杆总成高度
    \dim_set:Nn \l__suanpan_support_lower_dim
              { \l__suanpan_frame_lower_outer_offset_dim +
                \l__suanpan_frame_outer_half_dim }
    % 档杆总成组装垂直偏移
    \dim_set:Nn \l__suanpan_support_y_offset_dim
            { ( \l__suanpan_frame_upper_outer_offset_dim -
                \l__suanpan_frame_lower_outer_offset_dim +
                \l__suanpan_frame_outer_linewidth_dim ) / 2 -
                \l__suanpan_frame_upper_outer_offset_dim -
                \l__suanpan_frame_outer_half_dim
            }

    % 上边框外线位置
    \dim_set:Nn \l__suanpan_frame_outer_upper_dim
              { \l__suanpan_frame_upper_inner_offset_dim +
                \l__suanpan_frame_b_dim -
                \l__suanpan_frame_outer_half_dim }
    % 下边框外线位置
    \dim_set:Nn \l__suanpan_frame_outer_lower_dim
              { \l__suanpan_frame_lower_inner_offset_dim -
                \l__suanpan_frame_b_dim +
                \l__suanpan_frame_outer_half_dim }
    % 上边框内线位置
    \dim_set:Nn \l__suanpan_frame_inner_upper_dim
              { \l__suanpan_frame_upper_inner_offset_dim +
                \l__suanpan_frame_inner_linewidth_dim / 2 }
    % 下边框内线位置
    \dim_set:Nn \l__suanpan_frame_inner_lower_dim
              { \l__suanpan_frame_lower_inner_offset_dim -
                \l__suanpan_frame_inner_linewidth_dim / 2 }
    % 左右边框外线偏移
    \dim_set:Nn \l__suanpan_frame_outer_lr_offset_dim
              { \l__suanpan_support_d_half_dim +
                \l__suanpan_frame_b_dim -
                \l__suanpan_frame_outer_half_dim }

    % 左右边框外线圆角半径
    \dim_set:Nn \l__suanpan_frame_outer_arc_dim
              { \l__suanpan_frame_outer_linewidth_dim / 3 - 1pt }
  }

% 选项处理
% ============宏包选项=================
\keys_define:nn { suanpan }
  {
    draft .choice:,
    draft / true  .code:n = { \bool_set_true:N  \l__suanpan_draft_bool },
    draft / false .code:n = { \bool_set_false:N \l__suanpan_draft_bool },
    draft .default:n = true,
    draft .initial:n = false,

    unknown .code:n = { \msg_error:nn { suanpan } { unknown-option } }
  }

% key_value选项设计
\keys_define:nn { suanpan }
  {
    % 绘图线宽
    linewd .code:n = { % 算盘边框内线线宽
                       \dim_set:Nn \l__suanpan_frame_inner_linewidth_dim {#1}
                       % 算盘边框外线线宽
                       \dim_set:Nn \l__suanpan_frame_outer_linewidth_dim
                         {
                           \fp_to_dim:n
                             {
                               \fp_eval:n {%
                                 \l__suanpan_frame_inner_linewidth_dim * 7.0 }
                             }
                         }
                       % 档杆线宽
                       \dim_set:Nn \l__suanpan_rod_linewidth_dim
                         {
                           \fp_to_dim:n
                             {
                               \fp_eval:n {%
                                 \l__suanpan_frame_inner_linewidth_dim * 1.0 }
                             }
                         }
                       % 算珠线宽
                       \dim_set:Nn \l__suanpan_bid_linewidth_dim
                         {
                           \fp_to_dim:n
                             {
                               \fp_eval:n {%
                                 \l__suanpan_frame_inner_linewidth_dim * 1.0 }
                             }
                         }
                       % 计算其它尺寸
                       \__suanpan_dim_calc:
                     },
    linewd .initial:n = 2.0pt,

    % 档间间距
    rodsep .code:n = {%
                       \dim_set:Nn \l__suanpan_rod_sep_dim { #1 }
                       % 计算其它尺寸
                       \__suanpan_dim_calc:
                     },
    rodsep .initial:n = 3.0pt,

    % 算珠间距
    bidsep .code:n = {%
                       \dim_set:Nn \l__suanpan_bid_sep_dim { #1 }
                       % 计算其它尺寸
                       \__suanpan_dim_calc:
                     },
    bidsep .initial:n = 0.0pt,

    % 缩放参数
    scale .tl_set:N = \l__suanpan_scale_tl,
    scale .initial:n = 1.0,

    % 边框绘图颜色
    framedraw  .code:n = { \__suanpan_color_select:nn { framecolor } {#1} },
    framedraw  .initial:n = black,
    framedraw* .code:n = { \__suanpan_color_select:nnn { framecolor } #1 },

    % 档杆绘图颜色
    roddraw  .code:n = { \__suanpan_color_select:nn { roddrawcolor } {#1} },
    roddraw  .initial:n = black,
    roddraw* .code:n = { \__suanpan_color_select:nnn { roddrawcolor } #1 },
    % 档杆填充颜色
    rodfill  .code:n = { \__suanpan_color_select:nn { rodfillcolor } {#1} },
    rodfill  .initial:n = white,
    rodfill* .code:n = { \__suanpan_color_select:nnn { rodfillcolor } #1 },

    % 外珠绘图颜色
    outerdraw  .code:n = { \__suanpan_color_select:nn { outerdrawcolor } {#1} },
    outerdraw  .initial:n = black,
    outerdraw* .code:n = { \__suanpan_color_select:nnn { outerdrawcolor } #1 },
    % 外珠填充颜色
    outerfill  .code:n = { \__suanpan_color_select:nn { outerfillcolor } {#1} },
    outerfill  .initial:n = white,
    outerfill* .code:n = { \__suanpan_color_select:nnn { outerfillcolor } #1 },

    % 内珠绘图颜色
    innerdraw  .code:n = { \__suanpan_color_select:nn { innerdrawcolor } {#1} },
    innerdraw  .initial:n = black,
    innerdraw* .code:n = { \__suanpan_color_select:nnn { innerdrawcolor } #1 },
    % 内珠填充颜色
    innerfill  .code:n = { \__suanpan_color_select:nn { innerfillcolor } {#1} },
    innerfill  .initial:n = black,
    innerfill* .code:n = { \__suanpan_color_select:nnn { innerfillcolor } #1 },

    unknown .code:n = { \msg_error:nn { suanpan } { unknown-option } }
  }

% 出错输出信息
\msg_new:nnn { suanpan } { unknown-option }
  { package~ option~ "\l_keys_key_tl"~ is~ unknown. }

% 将文档类选项传给suanpan
\ProcessKeysOptions { suanpan }

% 选项默认值
\keys_set:nn { suanpan }
  {
    linewd = 2.0pt,
    rodsep = 3.0pt,
    bidsep = 1.8pt,
    scale = 1.0,
  }

% 构建内珠(靠近横梁，参与计数)容器(盒子)
\cs_new:Nn \__suanpan_inner_bid_construct:
  {
    \group_begin:
      \hcoffin_gset:Nn \l__suanpan_inner_bid_coffin
        {
          \draw_begin:
            \color_stroke:n { innerdrawcolor }
            \draw_linewidth:n { \l__suanpan_bid_linewidth_dim }
            % 圆角矩形绘制较为耗时，draft模式时将绘制直角矩形
            \bool_if:NF \l__suanpan_draft_bool
              {
                  \draw_path_corner_arc:nn{ \l__suanpan_bid_arc_dim }
                                          { \l__suanpan_bid_arc_dim }
              }
            % 绘制算珠
            \draw_path_rectangle_corners:nn
              { -\l__suanpan_bid_d_half_dim, \l__suanpan_bid_lower_dim}
              {  \l__suanpan_bid_d_half_dim, \l__suanpan_bid_upper_dim}
            \color_fill:n { innerfillcolor }
            \draw_path_use_clear:n { stroke, fill }
          \draw_end:
        }
    \group_end:
  }

% 构建外珠(远离横梁，不参与计数)容器(盒子)
\cs_new:Nn \__suanpan_outer_bid_construct:
  {
    \group_begin:
      \hcoffin_gset:Nn \l__suanpan_outer_bid_coffin
        {
          \draw_begin:
            \color_stroke:n { outerdrawcolor }
            \draw_linewidth:n { \l__suanpan_bid_linewidth_dim }
            % 圆角矩形绘制较为耗时，draft模式时将绘制直角矩形
            \bool_if:NF \l__suanpan_draft_bool
              {
                  \draw_path_corner_arc:nn{ \l__suanpan_bid_arc_dim }
                                          { \l__suanpan_bid_arc_dim }
              }
            % 绘制算珠
            \draw_path_rectangle_corners:nn
              { -\l__suanpan_bid_d_half_dim, \l__suanpan_bid_lower_dim}
              {  \l__suanpan_bid_d_half_dim, \l__suanpan_bid_upper_dim}
            \color_fill:n { outerfillcolor }
            \draw_path_use_clear:n { stroke, fill }
          \draw_end:
        }
    \group_end:
  }

% 构建浮珠容器(盒子)
% 浮珠指可以在算盘中任意布置的算珠
\cs_new:Npn \__suanpan_float_bid_construct:nn #1#2
  {
    \group_begin:
      \hcoffin_gset:Nn \l__suanpan_float_bid_coffin
        {
          \draw_begin:
            \color_stroke:n { #1 }
            \draw_linewidth:n { \l__suanpan_bid_linewidth_dim }
            % 圆角矩形绘制较为耗时，draft模式时将绘制直角矩形
            \bool_if:NF \l__suanpan_draft_bool
              {
                  \draw_path_corner_arc:nn{ \l__suanpan_bid_arc_dim }
                                          { \l__suanpan_bid_arc_dim }
              }
            % 绘制算珠
            \draw_path_rectangle_corners:nn
              { -\l__suanpan_bid_d_half_dim, \l__suanpan_bid_lower_dim}
              {  \l__suanpan_bid_d_half_dim, \l__suanpan_bid_upper_dim}
            \color_fill:n { #2 }
            \draw_path_use_clear:n { stroke, fill }
          \draw_end:
        }
    \group_end:
  }

% 构建档杆容器(盒子)
\cs_new:Nn \__suanpan_support_construct:
  {
    \group_begin:
      \hcoffin_gset:Nn \l__suanpan_support_coffin
        {
          \draw_begin:
            \draw_scope_begin:
              \color_stroke:n { roddrawcolor }
              \draw_linewidth:n { \l__suanpan_rod_linewidth_dim }
              % 绘制下杆
              \draw_path_rectangle:nn { -\l__suanpan_rod_d_half_dim,
                                         \l__suanpan_rod_lower_offset_dim }
                                      {  \l__suanpan_rod_d_dim,
                                         \l__suanpan_rod_lower_h_dim }
              % 绘制上杆
              \draw_path_rectangle:nn { -\l__suanpan_rod_d_half_dim,
                                         \l__suanpan_rod_upper_offset_dim }
                                      {  \l__suanpan_rod_d_dim,
                                         \l__suanpan_rod_upper_h_dim }
              \color_fill:n { rodfillcolor }
              \draw_path_use_clear:n { stroke, fill }
              % 绘制横梁
              \color_stroke:n { framecolor }
              \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                     \l__suanpan_frame_b_half_dim }
              \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                     \l__suanpan_frame_b_half_dim }
              \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                    -\l__suanpan_frame_b_half_dim }
              \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                    -\l__suanpan_frame_b_half_dim }
              \draw_path_use_clear:n { stroke}
            \draw_scope_end:

            % 绘制上下边框
            \draw_scope_begin:
              \color_stroke:n { framecolor }
              \bool_if:NT \l__suanpan_support_frame_bool
                {
                  \draw_linewidth:n { \l__suanpan_frame_inner_linewidth_dim }
                  % 上边框内线
                  \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                         \l__suanpan_frame_upper_inner_offset_dim }
                  \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                         \l__suanpan_frame_upper_inner_offset_dim }
                  % 下边框内线
                  \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                         \l__suanpan_frame_lower_inner_offset_dim }
                  \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                         \l__suanpan_frame_lower_inner_offset_dim }
                  \draw_path_use_clear:n { stroke}
                  \draw_linewidth:n { \l__suanpan_frame_outer_linewidth_dim }
                  % 上边框外线
                  \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                         \l__suanpan_support_upper_dim }
                  \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                         \l__suanpan_support_upper_dim }
                  % 下边框外线
                  \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                                         \l__suanpan_support_lower_dim }
                  \draw_path_lineto:n {  \l__suanpan_support_d_half_dim,
                                         \l__suanpan_support_lower_dim }
                  \draw_path_use_clear:n { stroke}
                }
            \draw_scope_end:

            % 绘制计位点(黑色圆点)
            \bool_if:NT \l__suanpan_support_unit_bool
              {
                \draw_scope_begin:
                  \color_stroke:n { black }
                  \draw_path_circle:nn { 0pt, 0pt} { \l__suanpan_frame_unit_r_dim }
                  \bool_if:NTF \l__suanpan_draft_bool
                    {
                        \draw_path_use_clear:n { stroke }
                    }{
                        \color_fill:n { black }
                        \draw_path_use_clear:n { stroke, fill }
                    }
                \draw_scope_end:
              }
          \draw_end:
        }
    \group_end:
  }

% 构建档杆空白容器(盒子)，用于占位以避免算盘总成尺寸错误
\cs_new:Nn \__suanpan_empty_support_construct:
  {
    % 测量档杆容器(盒子)总宽度和高度
    \dim_set:Nn \l_tmpa_dim
      { \coffin_wd:N \l__suanpan_support_coffin }
    \dim_set:Nn \l_tmpb_dim
      { \__suanpan_coffin_ht_plus_dp:N \l__suanpan_support_coffin }

    % 创建一个空容器(盒子)
    \hcoffin_set:Nn \l__suanpan_empty_support_coffin
      {
        \phantom{a}
      }

    % 调整为档杆宽度和高度
    \coffin_resize:Nnn \l__suanpan_empty_support_coffin
      { \l_tmpa_dim } { \l_tmpb_dim }
  }

% 绘制算珠
% #1: 算珠位置编号
%     o o o o o o o | o o o
%     1 2 3 4 5 6 7   8 9 10
%                   |    o
%                        11
%     其中，11是悬珠位置
% #2: 算珠类型
%     0——外珠，1——内珠，2——浮珠
\cs_new:Npn \__suanpan_dispose_bid:nn #1#2
  {
    % 算珠垂直偏移
    \int_compare:nNnTF { #1 } > { 7 }
      {
        \int_compare:nNnTF { #1 } < { 11 }
          {
            % 上珠
            \dim_set:Nn \l_tmpb_dim{ \l__suanpan_bid_upper_offset_dim +
                                     \l__suanpan_bid_h_dim * (#1 - 8) }
          }{
            % 悬珠
            \dim_set:Nn \l_tmpb_dim{ \l__suanpan_frame_b_half_dim +
                                     \l__suanpan_bid_h_dim * 2 }
          }
      }{
        % 下珠
        \dim_set:Nn \l_tmpb_dim{ \l__suanpan_bid_lower_offset_dim +
                                 \l__suanpan_bid_h_dim * (#1 - 1) }
      }

    % 绘图算珠
    \draw_scope_begin:
      \draw_transform_yshift:n { \l_tmpb_dim }
      \int_case:nnF { #2 }
        {
          { 0 } { \draw_coffin_use:Nnn \l__suanpan_outer_bid_coffin { hc } { vc } }
          { 1 } { \draw_coffin_use:Nnn \l__suanpan_inner_bid_coffin { hc } { vc } }
          { 2 } { \draw_coffin_use:Nnn \l__suanpan_float_bid_coffin { hc } { vc } }
        }{ Bid~Type~Error! }
    \draw_scope_end:
  }
% 函数变体
\cs_generate_variant:Nn \__suanpan_dispose_bid:nn {xx}

% 组装一个档位
% #1: 档位编号(基于1，从左向右计数)
% #2: 档位数字
\cs_new:Npn \__suanpan_assemble_rod:nn #1#2
  {
    % 取得档位数字对应算珠位置及内珠/外珠编号
    \prop_get:NnN \l__suanpan_rods_val_prop { #2 } \l_tmpa_tl
    \clist_clear:N \l__suanpan_bids_pos_clist
    \clist_set:NV \l__suanpan_bids_pos_clist \l_tmpa_tl

    % 绘制
    \draw_scope_begin:
      % 水平方向偏移
      \draw_transform_xshift:n { \l__suanpan_support_d_dim * (#1 - 1) }

      % 档杆
      \draw_coffin_use:Nnnn \l__suanpan_support_coffin
        { hc } { vc } { 0pt, -\l__suanpan_support_y_offset_dim }

      % 算珠
      \clist_map_inline:Nn \l__suanpan_bids_pos_clist
        {
          \clist_set:Nn \l_tmpa_clist { ##1 }
          \__suanpan_dispose_bid:xx { \clist_item:Nn \l_tmpa_clist { 1 } }
                                   { \clist_item:Nn \l_tmpa_clist { 2 } }
        }
    \draw_scope_end:
  }

% 指定一个档上某个算珠的颜色
% #1: 档位编号(从左向右)
% #2: 算珠位置([1, 11])
\cs_new:Npn \__suanpan_float_bid:nn #1#2
  {
    \draw_scope_begin:
      % 水平偏移
      \draw_transform_xshift:n { \l__suanpan_support_d_dim * ( #1 - 1 ) }

      % 空白支杆(宽度尺寸占位)
      \draw_coffin_use:Nnnn \l__suanpan_empty_support_coffin
        { hc } { vc } { 0pt, -\l__suanpan_support_y_offset_dim }

      % 覆盖绘制
      \__suanpan_dispose_bid:xx { #2 }{ 2 }
    \draw_scope_end:
  }

% 绘制左右边框
% #1 第一档编号(左)
% #2 最后一档编号(右)
\cs_new:Npn \__suanpan_left_right_frame:nn #1#2
  {
    % 绘制左边框
    \draw_scope_begin:
      \color_stroke:n { framecolor }
      \draw_linewidth:n { \l__suanpan_frame_inner_linewidth_dim }
      \draw_transform_xshift:n { \l__suanpan_support_d_dim * (#1 - 1) }

      % 内线
      \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                             \l__suanpan_frame_inner_upper_dim }
      \draw_path_lineto:n { -\l__suanpan_support_d_half_dim,
                             \l__suanpan_frame_inner_lower_dim }
      \draw_path_use_clear:n { stroke}

      % 外线
      \draw_linewidth:n { \l__suanpan_frame_outer_linewidth_dim }
      \draw_path_corner_arc:nn { \l__suanpan_frame_outer_arc_dim }
                               { \l__suanpan_frame_outer_arc_dim }
      \draw_path_moveto:n { -\l__suanpan_support_d_half_dim,
                             \l__suanpan_frame_outer_upper_dim }
      \draw_path_lineto:n { -\l__suanpan_frame_outer_lr_offset_dim,
                             \l__suanpan_frame_outer_upper_dim }
      \draw_path_lineto:n { -\l__suanpan_frame_outer_lr_offset_dim,
                             \l__suanpan_frame_outer_lower_dim }
      \draw_path_lineto:n { -\l__suanpan_support_d_half_dim,
                             \l__suanpan_frame_outer_lower_dim }
      \draw_path_use_clear:n { stroke}
    \draw_scope_end:

    % 绘制右边框
    \draw_scope_begin:
      \color_stroke:n { framecolor }
      \draw_linewidth:n { \l__suanpan_frame_inner_linewidth_dim }
      \draw_transform_xshift:n { \l__suanpan_support_d_dim * (#2 - 1) }

      % 内线
      \draw_path_moveto:n { \l__suanpan_support_d_half_dim,
                            \l__suanpan_frame_inner_upper_dim }
      \draw_path_lineto:n { \l__suanpan_support_d_half_dim,
                            \l__suanpan_frame_inner_lower_dim }
      \draw_path_use_clear:n { stroke}

      % 外线
      \draw_linewidth:n { \l__suanpan_frame_outer_linewidth_dim }
      \draw_path_corner_arc:nn { \l__suanpan_frame_outer_arc_dim }
                               { \l__suanpan_frame_outer_arc_dim }
      \draw_path_moveto:n { \l__suanpan_support_d_half_dim,
                            \l__suanpan_frame_outer_upper_dim }
      \draw_path_lineto:n { \l__suanpan_frame_outer_lr_offset_dim,
                            \l__suanpan_frame_outer_upper_dim }
      \draw_path_lineto:n { \l__suanpan_frame_outer_lr_offset_dim,
                            \l__suanpan_frame_outer_lower_dim }
      \draw_path_lineto:n { \l__suanpan_support_d_half_dim,
                            \l__suanpan_frame_outer_lower_dim }
      \draw_path_use_clear:n { stroke}
    \draw_scope_end:
  }

% 算盘排版用户接口
% 算盘排版环境
% #1 suanpan环境选项
% #2 suanpan环境内容(!b参数)
\NewDocumentEnvironment{ suanpan }{ o !b }
  {
    \group_begin:
      % 设置选项
      \IfNoValueF{ #1 }
        {
          \keys_set:nn { suanpan }{ #1 }
        }

      % 构造基础容器(盒子)
      \__suanpan_inner_bid_construct:
      \__suanpan_outer_bid_construct:
      \__suanpan_support_construct:
      \__suanpan_empty_support_construct:

      % 删除#2(!b)参数取得的环境内容中的空白
      \str_set:Nn \l_tmpa_str { #2 }
      \str_remove_all:Nn \l_tmpa_str {~}
      % 将str还原为tl
      \tl_set_rescan:Nno \l_tmpa_tl {}{ \l_tmpa_str }

      % 在容器(盒子)中用#2(!b)参数取得的按环境内容实现绘制
      \hcoffin_set:Nn \l_tmpa_coffin
        {
          \draw_begin:
            \l_tmpa_tl
          \draw_end:
        }

      % TODO: 需要增加组装档位数字标记功能
      \hcoffin_set:Nn \l_tmpb_coffin
        {
          % 将原图缩小50%
          \coffin_scale:Nnn \l_tmpa_coffin { 0.50 } { 0.50 }
          \coffin_typeset:Nnnnn \l_tmpa_coffin{ l }{ b }{ 0pt }{ 0pt }
        }
  }{
      % 按用户指定比例缩放
      \coffin_scale:Nnn \l_tmpb_coffin
        { \l__suanpan_scale_tl } { \l__suanpan_scale_tl }

      % 设置基字符盒子(排版深度)
      \hbox_set:Nn \l_tmpa_box { x }
      % 盒子深度
      \dim_set:Nn \l_tmpa_dim { \box_dp:N \l_tmpa_box}

      % 输出算盘容器(盒子)
      \coffin_typeset:Nnnnn \l_tmpb_coffin{ l }{ b }{ 0pt }{ -\l_tmpa_dim }
      \int_zero:N \l__suanpan_rod_max_int
    \group_end:
  }

% 排版算盘一个档位，包括档杆和算珠
% #1 星号命令，绘制计位点(黑色圆点)
% #2 档位编号(基于1，从左向右计数)
% #3 本档数字(0-20，10-15需用到顶珠和底珠，16-20需要用到悬珠)
% TODO: 会比加了浮珠后的水平尺寸大，未找到原因
\NewDocumentCommand{ \rod }{ s m m }
  {
    % 记录原状态变量
    \bool_set_eq:NN \l_tmpa_bool \l__suanpan_support_unit_bool
    % 星号命令，用于在横梁绘制计位点
    \IfBooleanTF{#1}
      {
        \bool_set_true:N \l__suanpan_support_unit_bool
      }{
        \bool_set_false:N \l__suanpan_support_unit_bool
      }

    % 如状态发生改变，则重新绘制档杆单元
    \bool_if:NTF \l_tmpa_bool
      {
        \bool_if:NF \l__suanpan_support_unit_bool
          {
            \__suanpan_support_construct:
          }
      }{
        \bool_if:NT \l__suanpan_support_unit_bool
          {
            \__suanpan_support_construct:
          }
      }

    % 统计档位总数
    \int_set:Nn \l__suanpan_rod_max_int
      { \int_max:nn { \l__suanpan_rod_max_int }{ #2 } }

    % 组装一个档位
    \__suanpan_assemble_rod:nn { #2 }{ #3 }
  }

% 排版算盘多个档位，包括档杆和算珠
% #1 本档数字(0-20，10-15需用到顶珠和底珠，16-20需要用到悬珠)
%    各数字之间需要用逗号分隔。
\NewDocumentCommand{ \rods }{ m }
  {
    % 构造档位数字列表
    \clist_set:Nn \l_tmpa_clist { #1 }
    % 初始化档位计数器
    \int_set:Nn \l_tmpa_int { 0 }

    \clist_map_inline:Nn \l_tmpa_clist
      {
        % 档位计数器自增1
        \int_incr:N \l_tmpa_int

        % 组装当前档位
        \__suanpan_assemble_rod:nn {\l_tmpa_int }{ ##1 }
      }

    % 记录档位总数
    \int_set:Nn \l__suanpan_rod_max_int
      { \int_max:nn { \l__suanpan_rod_max_int }{ \l_tmpa_int } }
  }

% 指定某档上某个算珠的颜色
% #1 档位(基于1，从左向右计数)
% #2 算珠位置(1--11，11为悬珠位置)
% #3 算珠填充颜色(绘图颜色将添加40%的黑色)
\NewDocumentCommand{ \bid }{ m m m }
  {
    % 构造浮珠
    \__suanpan_float_bid_construct:nn { #3!60!black }{ #3 }

    % 绘制浮珠
    \__suanpan_float_bid:nn { #1 }{ #2 }

    % 如不是最后一个档位，则添加一个额外空白档杆以实现水平尺寸占位
    \int_compare:nNnT { #1 } < { \l__suanpan_rod_max_int }
      {
        \draw_scope_begin:
          % 水平偏移
          \draw_transform_xshift:n { \l__suanpan_support_d_dim *
                                   ( \l__suanpan_rod_max_int - 1 ) }

          % 空白支杆(水平尺寸占位)
          \draw_coffin_use:Nnnn \l__suanpan_empty_support_coffin
            { hc } { vc } { 0pt, -\l__suanpan_support_y_offset_dim }
        \draw_scope_end:
      }
  }

% 指定某档上所有内珠或外珠的颜色
% #1 星号命令，选择内珠或外珠
% #2 档位(基于1，从左向右计数)
% #3 该档数字
% #4 算珠填充颜色(绘图颜色将添加40%的黑色)
\NewDocumentCommand{ \bids }{ s m m m }
  {
    % 构造浮珠
    \__suanpan_float_bid_construct:nn { #4!60!black }{ #4 }

    % 取得档位数字对应算珠位置及内珠/外珠编号
    \prop_get:NnN \l__suanpan_rods_val_prop { #3 } \l_tmpa_tl
    \clist_clear:N \l__suanpan_bids_pos_clist
    \clist_set:NV \l__suanpan_bids_pos_clist \l_tmpa_tl

    % 星号命令，用于选择外珠着色
    \IfBooleanTF{#1}
      {
        \clist_map_inline:Nn \l__suanpan_bids_pos_clist
          {
            \clist_set:Nn \l_tmpa_clist { ##1 }
            % 选择外珠
            \int_compare:nNnT { \clist_item:Nn \l_tmpa_clist { 2 }  } = { 0 }
              {
                \__suanpan_float_bid:nn { #2 }{ \clist_item:Nn \l_tmpa_clist { 1 } }
              }
          }
      }{
        \clist_map_inline:Nn \l__suanpan_bids_pos_clist
          {
            \clist_set:Nn \l_tmpa_clist { ##1 }
            % 选择内珠
            \int_compare:nNnT { \clist_item:Nn \l_tmpa_clist { 2 }  } = { 1 }
              {
                \__suanpan_float_bid:nn { #2 }{ \clist_item:Nn \l_tmpa_clist { 1 } }
              }
          }
      }

    % 如不是最后一个档位，则添加一个额外空白档杆以实现水平尺寸占位
    \int_compare:nNnT { #1 } < { \l__suanpan_rod_max_int }
      {
        \draw_scope_begin:
          % 水平偏移
          \draw_transform_xshift:n { \l__suanpan_support_d_dim *
                                   ( \l__suanpan_rod_max_int - 1 ) }

          % 空白支杆(水平尺寸占位)
          \draw_coffin_use:Nnnn \l__suanpan_empty_support_coffin
            { hc } { vc } { 0pt, -\l__suanpan_support_y_offset_dim }
        \draw_scope_end:
      }
  }

% 左右边框
% #1 左边第一个档位(基于1，从左向右计数)
% #2 右边最后一个档位(基于1，从左向右计数)
\NewDocumentCommand{ \lrframe }{ m m }
  {
    \__suanpan_left_right_frame:nn { #1 }{ #2 }
  }

% 选项设置用户接口
\NewDocumentCommand \suanpanset { m }
  {
    \IfNoValueF { #1}
      {
        \keys_set:nn { suanpan } { #1 }
      }
  }

\endinput