nicematrix (23jun19)

git-svn-id: svn://tug.org/texlive/trunk@51438 c570f23f-e606-0410-a88d-b1316a301751

3 files changed, 606 insertions, 90 deletions

diff --git a/Master/texmf-dist/doc/latex/nicematrix/nicematrix.pdf b/Master/texmf-dist/doc/latex/nicematrix/nicematrix.pdf
index 908368d1d6e..80f13ee4382 100644
--- a/Master/texmf-dist/doc/latex/nicematrix/nicematrix.pdf
+++ b/Master/texmf-dist/doc/latex/nicematrix/nicematrix.pdf
diff --git a/Master/texmf-dist/source/latex/nicematrix/nicematrix.dtx b/Master/texmf-dist/source/latex/nicematrix/nicematrix.dtx
index 618964b20c9..c3aaadec488 100644
--- a/Master/texmf-dist/source/latex/nicematrix/nicematrix.dtx
+++ b/Master/texmf-dist/source/latex/nicematrix/nicematrix.dtx
@@ -15,8 +15,8 @@
 %
 % \fi
 % \iffalse
-\def\myfileversion{2.1.5}
-\def\myfiledate{2019/05/27}
+\def\myfileversion{2.2}
+\def\myfiledate{2019/06/23}
 %
 %
 %<*batchfile>
@@ -61,9 +61,9 @@ version 2005/12/01 or later.
 \titlespacing*{\section}{0pt}{6.5ex plus 1ex minus .2ex}{4.3ex plus .2ex}
 \titlespacing*{\subsection}{0pt}{4.5ex plus 1ex minus .2ex}{2ex plus .2ex}
 \usepackage{multicol}
+\usepackage{arydshln}
 \setlength{\columnseprule}{0.4pt}
 \usepackage{colortbl}
-\usepackage{arydshln}
 \usepackage{footnotehyper}
 \parindent 0pt
 
@@ -581,6 +581,9 @@ version 2005/12/01 or later.
 % \end{pmatrix}$
 % \end{scope}
 % 
+%
+% 
+% 
 % \section{The Tikz nodes created by nicematrix}
 % 
 % The package \pkg{nicematrix} creates a Tikz node for each cell of the
@@ -1055,6 +1058,102 @@ version 2005/12/01 or later.
 % \end{pNiceArrayC}$
 % 
 %
+%
+% \section{The dotted lines to separate rows or columns}
+%
+%
+% In the environments of the extension \pkg{nicematrix}, it's possible to use
+% the command |\hdottedline| which is a counterpart of the classical commands
+% |\hline| and |\hdashline| (of \pkg{arydshln}).
+%
+% \medskip
+% \begin{BVerbatim}[baseline=c,boxwidth=9.5cm]
+% \begin{pNiceMatrix}
+% 1 & 2 & 3 & 4 & 5 \\
+% ~emphase#\hdottedline@
+% 6 & 7 & 8 & 9 & 10 \\
+% 11 & 12 & 13 & 14 & 15 
+% \end{pNiceMatrix}
+% \end{BVerbatim}
+% $\begin{pNiceMatrix}
+% 1 & 2 & 3 & 4 & 5 \\
+% \hdottedline
+% 6 & 7 & 8 & 9 & 10 \\
+% 11 & 12 & 13 & 14 & 15 
+% \end{pNiceMatrix}$
+% 
+% \bigskip
+% In the environments with an explicit preamble (like |{NiceArray}|, etc.), it's
+% possible to draw a vertical dotted line with the specifier ``|:|''.
+% 
+% \medskip
+% \begin{BVerbatim}[baseline=c,boxwidth=9.5cm]
+% \left(\begin{NiceArray}{CCCC~emphase#:@C}
+% 1 & 2 & 3 & 4 & 5 \\
+% 6 & 7 & 8 & 9 & 10 \\
+% 11 & 12 & 13 & 14 & 15 
+% \end{NiceArray}\right)
+% \end{BVerbatim}
+% $\left(\begin{NiceArray}{CCCC:C}
+% 1 & 2 & 3 & 4 & 5 \\
+% 6 & 7 & 8 & 9 & 10 \\
+% 11 & 12 & 13 & 14 & 15 
+% \end{NiceArray}\right)$
+%
+%
+% \bigskip
+% These dotted lines do \emph{not} extend in the ``first row'' and the ``last column''
+% of the environments with such features.
+% 
+% \medskip
+% \begin{BVerbatim}[baseline=c,boxwidth=9.5cm]
+% $\begin{pNiceArrayRC}{CCC:C}%
+%  [ code-for-first-row = \color{blue}\scriptstyle,
+%    code-for-last-col = \color{blue}\scriptstyle ]
+% C_1 & C_2 & C_3 & C_4 \\
+% 1 & 2 & 3 & 4 & L_1 \\
+% 5 & 6 & 7 & 8 & L_2 \\
+% 9 & 10 & 11 & 12 & L_3 \\
+% \hdottedline
+% 13 & 14 & 15 & 16 & L_4 
+% \end{pNiceArrayRC}$
+% \end{BVerbatim}
+% $\begin{pNiceArrayRC}{CCC:C}[ code-for-first-row = \color{blue}\scriptstyle,
+%                               code-for-last-col = \color{blue}\scriptstyle ]
+% C_1 & C_2 & C_3 & C_4 \\
+% 1 & 2 & 3 & 4 & L_1 \\
+% 5 & 6 & 7 & 8 & L_2 \\
+% 9 & 10 & 11 & 12 & L_3 \\
+% \hdottedline
+% 13 & 14 & 15 & 16 & L_4 
+% \end{pNiceArrayRC}$
+% 
+% \bigskip
+% It's possible to change in \pkg{nicematrix} the letter used to specify a
+% vertical dotted line with the option |letter-for-dotted-lines| available in
+% |\NiceMatrixOptions|. For example, in this document, we have loaded the
+% extension \pkg{arydshln} which uses the letter ``:'' to specify a vertical
+% dashed line. Thus, by using |letter-for-dotted-lines|, we can use the
+% vertical lines of both \pkg{arydshln} and \pkg{nicematrix}.
+% 
+% \medskip
+% \begin{BVerbatim}[baseline=c,boxwidth=9.5cm]
+% \NiceMatrixOptions{letter-for-dotted-lines = V}
+% \left(\begin{NiceArray}{~emphase#C|C:CVC@}
+% 1 & 2 & 3 & 4 \\
+% 5 & 6 & 7 & 8 \\
+% 9 & 10 & 11 & 12
+% \end{NiceArray}\right)
+% \end{BVerbatim}
+% \begin{scope}
+% \NiceMatrixOptions{letter-for-dotted-lines = V}
+% $\left(\begin{NiceArray}{C|C:CVC}
+% 1 & 2 & 3 & 4 \\
+% 5 & 6 & 7 & 8 \\
+% 9 & 10 & 11 & 12
+% \end{NiceArray}\right)$
+% \end{scope}
+%
 % \section{The width of the columns}
 % \label{width}
 %
@@ -1173,7 +1272,9 @@ version 2005/12/01 or later.
 % \end{pNiceMatrix}$
 % \end{NiceMatrixBlock}
 %
+% 
 %
+% 
 % \section{Technical remarks}
 %
 % \subsection{Diagonal lines} 
@@ -1316,17 +1417,21 @@ version 2005/12/01 or later.
 %
 % \subsection{The class option draft}
 %
-% The package \pkg{nicematrix} is rather slow when drawing the dotted lines (generated by |\Cdots|, |\Ldots|, |\Ddots|,
-% etc.).\footnote{The main reason is that we want dotted lines with round dots (and not square dots) with the same
-% space on both extremities of the lines. To achieve this goal, we have to construct our own systeme of dotted
-% lines.}
+% The package \pkg{nicematrix} is rather slow when drawing the dotted lines
+% (generated by |\Cdots|, |\Ldots|, |\Ddots|, etc. but also by |\hdottedline| or
+% the specifier |:|).\footnote{The main reason is that we want dotted lines with
+% round dots (and not square dots) with the same space on both extremities of
+% the lines. To achieve this goal, we have to construct our own system of dotted
+% lines.} 
 %
-% That's why, when the class option |draft| is used, the dotted lines are not drawn, for a faster compilation.
+% That's why, when the class option |draft| is used, the dotted lines are not
+% drawn, for a faster compilation. 
 % 
 % \subsection{A technical problem with the argument of \textbackslash\textbackslash}
 %
-% For technical, reasons, if you use the optional argument of the command |\\|, the vertical space added will also
-% be added to the ``normal'' node corresponding at the previous node.
+% For technical, reasons, if you use the optional argument of the command |\\|,
+% the vertical space added will also be added to the ``normal'' node
+% corresponding at the previous node. 
 %
 % \medskip
 % \begin{BVerbatim}[baseline=c,boxwidth=11cm]
@@ -1345,8 +1450,8 @@ version 2005/12/01 or later.
 % \end{pNiceMatrix}$
 %
 % \bigskip
-% There are two solutions to solve this problem. The first solution is to use a TeX command to insert space between
-% the rows.
+% There are two solutions to solve this problem. The first solution is to use a
+% TeX command to insert space between the rows.
 %
 % \medskip
 % \begin{BVerbatim}[baseline=c,boxwidth=11cm]
@@ -1390,8 +1495,8 @@ version 2005/12/01 or later.
 % \subsection{Compatibility with the extension dcolumn}
 %
 % \label{dcolumn}
-% If we want to make \pkg{nicematrix} compatible with \pkg{dcolumn}, it's necessary to patch the commands
-% |\DC@endcentre| and |\DC@endright| as follow.
+% If we want to make \pkg{nicematrix} compatible with \pkg{dcolumn}, it's
+% necessary to patch the commands |\DC@endcentre| and |\DC@endright| as follow.
 %
 % \bigskip
 %
@@ -1532,7 +1637,7 @@ version 2005/12/01 or later.
 % \end{pNiceMatrix}$
 %
 % \vspace{2cm}
-% An example for the resultant of two polynoms (the dashed line has been drawn with \pkg{arydshln}):\par\nobreak
+% An example for the resultant of two polynoms:\par\nobreak
 % \bigskip
 % \begin{BVerbatim}
 % \setlength{\extrarowheight}{1mm}
@@ -1574,7 +1679,7 @@ version 2005/12/01 or later.
 % ~emphase#\begin{NiceMatrixBlock}[auto-columns-width]@
 % \NiceMatrixOptions{code-for-last-col = \color{blue}\scriptstyle}
 % \setlength{\extrarowheight}{1mm}
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 2&4&8&16&9&\\
 % 3&9&27&81&36&\\
@@ -1591,7 +1696,7 @@ version 2005/12/01 or later.
 % \NiceMatrixOptions{code-for-last-col = \color{blue}\scriptstyle}
 % \setlength{\extrarowheight}{1mm}
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 2&4&8&16&9&\\
 % 3&9&27&81&36&\\
@@ -1600,7 +1705,7 @@ version 2005/12/01 or later.
 %
 % \medskip
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 0&2&6&14&7&L_2\gets-2L_1+L_2 \\
 % 0&6&24&78&33&L_3\gets-3L_1+L_3 \\
@@ -1609,7 +1714,7 @@ version 2005/12/01 or later.
 %
 % \medskip
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 0&1&3&7&\frac72&L_2\gets\frac12L_2\\
 % 0&3&12&39&\frac{33}2&L_3\gets\frac12L_3 \\
@@ -1618,7 +1723,7 @@ version 2005/12/01 or later.
 %
 % \medskip
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 0&1&3&7&\frac72&\\
 % 0&0&3&18&6&L_3 \gets -3L_2+L_3 \\
@@ -1627,7 +1732,7 @@ version 2005/12/01 or later.
 %
 % \medskip
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 0&1&3&7&\frac72&\\
 % 0&0&1&6&2&L_3 \gets \frac13L_3\\
@@ -1636,7 +1741,7 @@ version 2005/12/01 or later.
 %
 % \medskip
 %
-% \quad $\begin{pNiceArrayC}{CCCC|C}
+% \quad $\begin{pNiceArrayC}{CCCC:C}
 % 1&1&1&1&1&\\
 % 0&1&3&7&\frac72&\\
 % 0&0&1&6&2& \\
@@ -1905,6 +2010,7 @@ version 2005/12/01 or later.
 % In the following example, we use the ``large nodes'' to construct a block matrix (the dashed lines have been
 % drawn with \pkg{arydshln}).
 % \begin{Verbatim}
+% \NiceMatrixOptions{letter-for-dotted-lines = V}
 % \left(\begin{NiceArray}{CC:CC}%
 %    [create-extra-nodes,
 %     ~emphase#code-after = { \tikz \node [fit = (1-1-large) (2-2-large), inner sep = 0 pt]@
@@ -1917,7 +2023,9 @@ version 2005/12/01 or later.
 % \end{NiceArray}\right)
 % \end{Verbatim}
 % 
-%                              
+%                          
+% \begin{scope}    
+% \NiceMatrixOptions{letter-for-dotted-lines = V}
 % \[D = \left(\begin{NiceArray}{CC:CC}[
 %     create-extra-nodes,
 %     code-after = { \tikz \node [fit = (1-1-large) (2-2-large), inner sep = 0 pt] 
@@ -1928,8 +2036,8 @@ version 2005/12/01 or later.
 % a_{31} & a_{32} & a_{33} & a_{34} \\
 % a_{41} & a_{42} & a_{34} & a_{44} 
 % \end{NiceArray}\right)\]
+% \end{scope}
 % 
-%
 % 
 % 
 % \section{Implementation}
@@ -2263,7 +2371,7 @@ version 2005/12/01 or later.
          { \seq_gput_left:Nn \g_@@_names_seq { #1 } }
       \str_set:Nn \l_@@_name_str { #1 } ,
     name .value_required:n = true ,
-    code-after .tl_set:N = \l_@@_code_after_tl ,
+    code-after .tl_gset:N = \g_@@_code_after_tl ,
     code-after .initial:n = \c_empty_tl ,
     code-after .value_required:n = true ,
   }
@@ -2367,6 +2475,12 @@ version 2005/12/01 or later.
 %
 % \bigskip
 %    \begin{macrocode}
+    letter-for-dotted-lines .tl_set:N = \l_@@_letter_for_dotted_lines_str ,
+    letter-for-dotted-lines .value_required:n = true ,
+    letter-for-dotted-lines .initial:n = \c_colon_str ,
+%    \end{macrocode}
+% \bigskip
+%    \begin{macrocode}
     unknown .code:n  = \@@_error:n { Unknown~key~for~NiceMatrixOptions } }
 %    \end{macrocode}
 %
@@ -2385,6 +2499,7 @@ version 2005/12/01 or later.
     code-for-last-col,~
     exterior-arraycolsep,~
     left-margin,~
+    letter-for-dotted-lines,~
     nullify-dots,~
     parallelize-diags,~
     renew-dots,~
@@ -2657,7 +2772,7 @@ version 2005/12/01 or later.
 \@@_msg_new:nn { Yet~in~NiceArray }
   { 
     Environments~\{NiceArray\}~(or~\{NiceMatrix\},~etc.)~can't~be~
-    nested.~We~can~go~on,~but,~maybe,~you~will~have~errors~or~an~incorrect~
+    nested.~You~can~go~on,~but,~maybe,~you~will~have~errors~or~an~incorrect~
     result.
   }
 %    \end{macrocode}
@@ -2712,7 +2827,78 @@ version 2005/12/01 or later.
   }
 %    \end{macrocode}
 %                     
-%
+% \bigskip
+% In the environment |{NiceArray}|, we will have to redefine the column types
+% |w| and |W|. These definitions are rather long because we have to construct
+% the |w|-nodes in these columns. The redefinition of these two column types are
+% very close and that's why we use a macro |\@@_renewcolumntype:nn|. The first
+% argument is the type of the column (|w| or |W|) and the second argument is a
+% code inserted at a special place and which is the only difference between the
+% two definitions.
+%    \begin{macrocode}
+\cs_new_protected:Nn \@@_renewcolumntype:nn
+  {
+    \newcolumntype #1 [ 2 ]
+      { 
+        > { 
+            \hbox_set:Nw \l_tmpa_box
+            \@@_Cell:
+          }
+        c
+        < { 
+            \@@_end_Cell:
+            \hbox_set_end:
+            #2 
+            \hbox_set:Nn \l_tmpb_box 
+              { \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box } }
+            \dim_set:Nn \l_tmpa_dim { \box_dp:N \l_tmpb_box }
+            \box_move_down:nn \l_tmpa_dim 
+              { 
+                \vbox:n
+                  { \hbox_to_wd:nn { \box_wd:N \l_tmpb_box }
+                      { 
+                        \hfil 
+                        \tikz [ remember~picture , overlay ]
+                        \coordinate (@@~north~east) ; 
+                      }
+                    \hbox:n
+                      {
+                        \tikz [ remember~picture , overlay ]
+                        \coordinate (@@~south~west) ;
+                        \box_move_up:nn \l_tmpa_dim { \box_use:N \l_tmpb_box }
+                      }         
+                  }
+              }
+%    \end{macrocode}
+% The |w|-node is created using the Tikz library |fit| after construction of the
+% nodes |(@@~south~west)| and |(@@~north~east)|. It's not possible to contruct
+% by a standard |node| instruction because such a construction give a erroneous
+% result with some engines (|XeTeX|, |LuaTeX|) although the result is good with
+% |pdflatex| (why?). 
+%    \begin{macrocode}
+            \tikz [ remember~picture , overlay ]
+            \node 
+              [
+                node~contents = { } ,
+                name = nm - \int_use:N \g_@@_env_int -
+                            \int_use:N \g_@@_row_int -
+                            \int_use:N \g_@@_column_int - w,
+                alias = 
+                  \str_if_empty:NF \l_@@_name_str
+                    { 
+                      \l_@@_name_str -
+                      \int_use:N \g_@@_row_int -
+                      \int_use:N \g_@@_column_int - w 
+                    } ,
+                inner~sep = \c_zero_dim ,
+                fit = (@@~south~west) (@@~north~east)
+              ] 
+            ;
+          }  
+      }
+  }
+%    \end{macrocode}
+% 
 % \bigskip
 % First, we test if we are yet in an environment |{NiceArray}| (nested
 % environments are forbidden). 
@@ -2785,7 +2971,7 @@ version 2005/12/01 or later.
            }
       }
 %    \end{macrocode}
-% We don't want to patch any code and that's why some code is excuted in a
+% We don't want to patch any code and that's why some code is executed in a
 % |\group_insert_after:N|. In particular, in this |\group_insert_after:N|, we
 % will have to know the value of some parameters like |\l_@@_extra_nodes_bool|.
 % That's why we transit via a global version for some variables.
@@ -2794,7 +2980,6 @@ version 2005/12/01 or later.
     \dim_gset_eq:NN \g_@@_left_margin_dim \l_@@_left_margin_dim
     \dim_gset_eq:NN \g_@@_right_margin_dim \l_@@_right_margin_dim
     \dim_gset_eq:NN \g_@@_extra_right_margin_dim \l_@@_extra_right_margin_dim
-    \tl_gset_eq:NN \g_@@_code_after_tl \l_@@_code_after_tl
     \tl_gset_eq:NN \g_@@_name_str \l_@@_name_str
 %    \end{macrocode}
 % The environment |{array}| uses internally the command |\ialign| and, in
@@ -2842,9 +3027,10 @@ version 2005/12/01 or later.
        }
 %    \end{macrocode}
 % 
-% We nullify the definitions of the column types |w| and |W| because we want to
-% avoid a warning in the log file for a redefinition of a column type. We must
-% put |\relax| and not |\prg_do_nothing:|.
+%
+% We nullify the definitions of the column types |w| and |W| before their
+% redefinition because we want to avoid a warning in the log file for a
+% redefinition of a column type. We must put |\relax| and not |\prg_do_nothing:|.
 %    \begin{macrocode}
     \cs_set_eq:NN \NC@find@w \relax
     \cs_set_eq:NN \NC@find@W \relax
@@ -2852,33 +3038,43 @@ version 2005/12/01 or later.
 % 
 % We redefine the column types |w| and |W| of the package \pkg{array}.
 %    \begin{macrocode}
-    \newcolumntype w [ 2 ]
-      { 
-        > { 
-            \hbox_set:Nw \l_tmpa_box
-            \@@_Cell:}
-        c
-        < { 
-            \@@_end_Cell:
-            \hbox_set_end:
-            \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box } 
-          } 
-      }
-    \newcolumntype W [ 2 ]
-      { 
-        > { 
-            \hbox_set:Nw \l_tmpa_box
-            \@@_Cell:
+    \@@_renewcolumntype:nn w { }
+    \@@_renewcolumntype:nn W { \cs_set_eq:NN \hss \hfil }
+%    \end{macrocode}
+%
+% \bigskip
+% By default, the letter used to specify a dotted line in the preamble of an
+% environment of \pkg{nicematrix} (for example in |{pNiceArray}|) is the letter
+% |:|. However, this letter is used by some extensions, for example
+% \pkg{arydshln}. That's why it's possible to change the letter used by
+% \pkg{nicematrix} with the option |letter-for-dotted-lines| which changes the
+% value of |\l_@@_letter_for_dotted_lines_str|.
+%    \begin{macrocode}
+    \exp_args:Nx \newcolumntype \l_@@_letter_for_dotted_lines_str
+      {
+        ! 
+          { 
+            \skip_horizontal:n { 0.53 pt }
+            \bool_gset_true:N \g_@@_extra_nodes_bool
+            \int_compare:nNnT \g_@@_row_int = 1
+              {
+                \int_compare:nNnTF \g_@@_column_int = \c_zero_dim
+                  { \@@_error:n { Use~of~:~in~first~position } }
+                  {
+                    \tl_gput_right:Nx \g_@@_code_after_tl
+                      {
+                        \exp_not:N \@@_vdottedline:n
+                        \exp_not:N {
+                        \int_use:N \g_@@_column_int 
+                        \exp_not:N }
+                      } 
+                  }
+              }
           }
-       c
-       < { 
-           \@@_end_Cell:
-           \hbox_set_end:
-           \cs_set_eq:NN \hss \hfil
-           \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box } 
-         } 
-      }
+      } 
 %    \end{macrocode}
+%
+%
 % 
 % The commands |\Ldots|, |\Cdots|, etc. will be defined only in the environment
 % |{NiceArray}|. If the class option |draft| is used, these commands will be
@@ -2887,6 +3083,7 @@ version 2005/12/01 or later.
     \bool_if:NTF \c_@@_draft_bool
       \@@_define_dots_to_nil:
       \@@_define_dots:
+    \cs_set_eq:NN \hdottedline \@@_hdottedline:
     \cs_set_eq:NN \Hspace \@@_Hspace:
     \cs_set_eq:NN \Hdotsfor \@@_Hdotsfor
     \cs_set_eq:NN \multicolumn \@@_multicolumn:nnn
@@ -3236,6 +3433,7 @@ version 2005/12/01 or later.
       }
     \cs_set_eq:NN \line \@@_line:nn
     \g_@@_code_after_tl 
+    \tl_gclear:N \g_@@_code_after_tl
     \group_end:
   }
 %    \end{macrocode}
@@ -3731,7 +3929,7 @@ version 2005/12/01 or later.
           }
       }
 %    \end{macrocode}
-% We draw only if the length is not equel to zero (in fact, in the first
+% We draw only if the length is not equal to zero (in fact, in the first
 % compilation, the length may be equal to zero). 
 %    \begin{macrocode}
     \dim_compare:nNnF \l_@@_l_dim = \c_zero_dim
@@ -3757,7 +3955,8 @@ version 2005/12/01 or later.
                 \int_set:Nn \l_tmpa_int 
                   { \dim_ratio:nn { \l_@@_l_dim - 0.3 em } { 0.45 em } }
               }
-              { \int_set:Nn \l_tmpa_int 
+              { 
+                \int_set:Nn \l_tmpa_int 
                   { \dim_ratio:nn { \l_@@_l_dim - 0.6 em } { 0.45 em }}
               }
           }
@@ -4037,12 +4236,159 @@ version 2005/12/01 or later.
   }
 %    \end{macrocode}
 % 
-% The commands |\Ldots|, |\Cdots|, |\Vdots|, |\Ddots|, |\Iddots| don't use this
-% command because they have to do other settings (for example, the diagonal
+% The commands |\Ldots|, |\Cdots|, |\Vdots|, |\Ddots|, and |\Iddots| don't use
+% this command because they have to do other settings (for example, the diagonal 
 % lines must be parallelized). 
 %
+% \bigskip
+% \subsection{The commands to draw dotted lines to separate columns and rows}
+%
+% The command |\hdottedline| draws a horizontal dotted line to separate two
+% rows. Similarly, the letter ``:'' in the preamble draws a vertical dotted line
+% (the letter can be changed with the option |letter-for-dotted-lines|). Both
+% mechanisms write instructions in the |code-after|. The actual instructions in
+% the |code-after| use the commands |\@@_hdottedline:n| and |\@@_vdottedline:n|.
+% 
+% \bigskip
 %
+% The following command must \emph{not} be protected because it starts with |\noalign|.
+%    \begin{macrocode}
+\cs_new:Nn \@@_hdottedline:
+  {
+    \noalign { \skip_vertical:n { 0.53 pt } }
+    \@@_hdottedline_i:
+  }
+%    \end{macrocode}
 %
+%    \begin{macrocode}
+\cs_new_protected:Nn \@@_hdottedline_i:
+  { 
+    \int_compare:nNnTF \g_@@_row_int < 2
+      { \@@_error:n { Use~of~hdottedline~in~first~position } }
+      {
+        \bool_gset_true:N \g_@@_extra_nodes_bool
+        \bool_if:NF \c_@@_draft_bool
+          {
+            \tl_gput_right:Nx \g_@@_code_after_tl 
+              { 
+                \exp_not:N \@@_hdottedline:n 
+                \exp_not:N { 
+                \int_eval:n { \g_@@_row_int - 1 } 
+                \exp_not:N }
+              } 
+          } 
+      }
+  }
+%    \end{macrocode}
+% 
+% The argument of |\@@_hdottedline:n| is the number of the row \emph{after} which
+% we have to draw a dotted line.
+%    \begin{macrocode}
+\cs_new_protected:Nn \@@_hdottedline:n
+  { 
+    \@@_create_extra_nodes:
+    \dim_zero_new:N \g_@@_x_initial_dim
+    \dim_zero_new:N \g_@@_y_initial_dim
+    \dim_zero_new:N \g_@@_x_final_dim
+    \dim_zero_new:N \g_@@_y_final_dim
+    \bool_set_true:N \l_@@_initial_open_bool 
+    \bool_set_true:N \l_@@_final_open_bool 
+    \begin { tikzpicture } [ remember~picture ]
+      \tikz@parse@node\pgfutil@firstofone
+        ( #1 - 1 -large .south~west )
+      \dim_gset:Nn \g_@@_x_initial_dim \pgf@x
+      \dim_gset:Nn \g_@@_y_initial_dim \pgf@y
+      \tikz@parse@node\pgfutil@firstofone
+        ( #1 - \int_use:N \g_@@_column_int -large .south~east )
+      \dim_gset:Nn \g_@@_x_final_dim \pgf@x
+      \dim_gset:Nn \g_@@_y_final_dim \pgf@y
+    \end { tikzpicture }
+    \@@_draw_tikz_line:
+  }
+%    \end{macrocode}
+%
+%    \begin{macrocode}
+\@@_msg_new:nn { Use~of~hdottedline~in~first~position }
+  { 
+    You~can't~use~the~command~\token_to_str:N\hdottedline\ in~the~first~row~ 
+    of~the~environment~\{\@currenvir\}. \\
+    If~you~go~on,~this~dotted~line~will~be~ignored.
+  }
+%    \end{macrocode}
+%
+%
+% \bigskip
+%    \begin{macrocode}
+\cs_new_protected:Nn \@@_vdottedline:n
+  {
+%    \end{macrocode}
+% The following test is a security: normally, the error should have been capted
+% before. 
+%    \begin{macrocode}
+    \int_compare:nNnTF #1 = \c_zero_int
+      { \@@_error:n { Use~of~:~in~first~position } }
+      {   
+        \@@_create_extra_nodes:
+        \bool_if:NF \c_@@_draft_bool
+          {
+            \dim_zero_new:N \g_@@_x_initial_dim
+            \dim_zero_new:N \g_@@_y_initial_dim
+            \dim_zero_new:N \g_@@_x_final_dim
+            \dim_zero_new:N \g_@@_y_final_dim
+            \bool_set_true:N \l_@@_initial_open_bool 
+            \bool_set_true:N \l_@@_final_open_bool 
+%    \end{macrocode}
+% If the |w|-nodes are created in the previous column (that is if the previous
+% column was constructed explicitly of implicitly with a letter |w|), we use
+% that column in order to have the dotted lines perfectly aligned when we use
+% the environment |{NiceMatrixBlock}| with the option |auto-columns-width|.
+%    \begin{macrocode}
+            \cs_if_exist:cTF 
+              { pgf@sh@ns@nm -\int_use:N \g_@@_env_int - 1 - #1 - w }
+              {
+                \begin { tikzpicture } [ remember~picture ]
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( 1 - #1 - w .north~east )
+                  \dim_gset:Nn \g_@@_x_initial_dim \pgf@x
+                  \dim_gset:Nn \g_@@_y_initial_dim \pgf@y
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( \int_use:N \g_@@_row_int - #1 - w .south~east )
+                  \dim_gset:Nn \g_@@_x_final_dim \pgf@x
+                  \dim_gset:Nn \g_@@_y_final_dim \pgf@y
+                \end { tikzpicture }
+                \dim_gadd:Nn \g_@@_x_initial_dim \arraycolsep
+                \dim_gadd:Nn \g_@@_x_final_dim \arraycolsep
+              }
+              {
+                \begin { tikzpicture } [ remember~picture ]
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( 1 - #1 - large .north~east )
+                  \dim_gset:Nn \g_@@_x_initial_dim \pgf@x
+                  \dim_gset:Nn \g_@@_y_initial_dim \pgf@y
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( \int_use:N \g_@@_row_int - #1 - large .south~east )
+                  \dim_gset:Nn \g_@@_x_final_dim \pgf@x
+                  \dim_gset:Nn \g_@@_y_final_dim \pgf@y
+                \end { tikzpicture }
+              }
+            \@@_draw_tikz_line:
+          } 
+      }
+  }
+%    \end{macrocode}
+% 
+%
+%    \begin{macrocode}
+\@@_msg_new:nn { Use~of~:~in~first~position }
+  { 
+    You~can't~use~the~column~specifier~"\l_@@_letter_for_dotted_lines_str"~in~the~
+    first~position~of~the~preamble~of~the~environment~\{\@currenvir\}. \\
+    If~you~go~on,~this~dotted~line~will~be~ignored.
+  }
+%    \end{macrocode}
+%
+%
+% 
 % \subsection{The environment \{NiceMatrixBlock\}}
 %
 % The following flag will be raised when all the columns of the environments of
@@ -4845,6 +5191,16 @@ version 2005/12/01 or later.
 % 
 % Option |allow-duplicate-names|.
 %
+% \subsection{Changes between version 2.1.5 and 2.2}
+%
+% Possibility to draw horizontal dotted lines to separate rows with the command 
+% |\hdottedline| (similar to the classical command |\hline| and the command
+% |\hdashline| of \pkg{arydshln}). 
+%
+% Possibility to draw vertical dotted lines to separate columns with the
+% specifier ``|:|'' in the preamble (similar to the classical specifier
+% ``\verb+|+'' and the specifier ``|:|'' of \pkg{arydshln}).
+%
 % \endinput
 % Local Variables:
 % TeX-fold-mode: nil
diff --git a/Master/texmf-dist/tex/latex/nicematrix/nicematrix.sty b/Master/texmf-dist/tex/latex/nicematrix/nicematrix.sty
index dea687e5f4a..20432043d69 100644
--- a/Master/texmf-dist/tex/latex/nicematrix/nicematrix.sty
+++ b/Master/texmf-dist/tex/latex/nicematrix/nicematrix.sty
@@ -18,8 +18,8 @@
 %% and version 1.3 or later is part of all distributions of
 %% LaTeX version 2005/12/01 or later.
 %% 
-\def\myfileversion{2.1.5}
-\def\myfiledate{2019/05/27}
+\def\myfileversion{2.2}
+\def\myfiledate{2019/06/23}
 \RequirePackage{tikz}
 \usetikzlibrary{fit}
 \RequirePackage{expl3}[2019/02/15]
@@ -116,7 +116,7 @@
          { \seq_gput_left:Nn \g__nm_names_seq { #1 } }
       \str_set:Nn \l__nm_name_str { #1 } ,
     name .value_required:n = true ,
-    code-after .tl_set:N = \l__nm_code_after_tl ,
+    code-after .tl_gset:N = \g__nm_code_after_tl ,
     code-after .initial:n = \c_empty_tl ,
     code-after .value_required:n = true ,
   }
@@ -165,6 +165,9 @@
     allow-duplicate-names .code:n =
       \__nm_msg_redirect_name:nn { Duplicate~name } {none} ,
     allow-duplicate-names .value_forbidden:n = true ,
+    letter-for-dotted-lines .tl_set:N = \l__nm_letter_for_dotted_lines_str ,
+    letter-for-dotted-lines .value_required:n = true ,
+    letter-for-dotted-lines .initial:n = \c_colon_str ,
     unknown .code:n  = \__nm_error:n { Unknown~key~for~NiceMatrixOptions } }
 \__nm_msg_new:nnn { Unknown~key~for~NiceMatrixOptions }
   {
@@ -179,6 +182,7 @@
     code-for-last-col,~
     exterior-arraycolsep,~
     left-margin,~
+    letter-for-dotted-lines,~
     nullify-dots,~
     parallelize-diags,~
     renew-dots,~
@@ -330,7 +334,7 @@
 \__nm_msg_new:nn { Yet~in~NiceArray }
   {
     Environments~\{NiceArray\}~(or~\{NiceMatrix\},~etc.)~can't~be~
-    nested.~We~can~go~on,~but,~maybe,~you~will~have~errors~or~an~incorrect~
+    nested.~You~can~go~on,~but,~maybe,~you~will~have~errors~or~an~incorrect~
     result.
   }
 \cs_new_protected:Npn \__nm_define_dots:
@@ -369,6 +373,60 @@
         \cs_set_eq:NN \hdotsfor \__nm_Hdotsfor
       }
   }
+\cs_new_protected:Nn \__nm_renewcolumntype:nn
+  {
+    \newcolumntype #1 [ 2 ]
+      {
+        > {
+            \hbox_set:Nw \l_tmpa_box
+            \__nm_Cell:
+          }
+        c
+        < {
+            \__nm_end_Cell:
+            \hbox_set_end:
+            #2
+            \hbox_set:Nn \l_tmpb_box
+              { \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box } }
+            \dim_set:Nn \l_tmpa_dim { \box_dp:N \l_tmpb_box }
+            \box_move_down:nn \l_tmpa_dim
+              {
+                \vbox:n
+                  { \hbox_to_wd:nn { \box_wd:N \l_tmpb_box }
+                      {
+                        \hfil
+                        \tikz [ remember~picture , overlay ]
+                        \coordinate (__nm~north~east) ;
+                      }
+                    \hbox:n
+                      {
+                        \tikz [ remember~picture , overlay ]
+                        \coordinate (__nm~south~west) ;
+                        \box_move_up:nn \l_tmpa_dim { \box_use:N \l_tmpb_box }
+                      }
+                  }
+              }
+            \tikz [ remember~picture , overlay ]
+            \node
+              [
+                node~contents = { } ,
+                name = nm - \int_use:N \g__nm_env_int -
+                            \int_use:N \g__nm_row_int -
+                            \int_use:N \g__nm_column_int - w,
+                alias =
+                  \str_if_empty:NF \l__nm_name_str
+                    {
+                      \l__nm_name_str -
+                      \int_use:N \g__nm_row_int -
+                      \int_use:N \g__nm_column_int - w
+                    } ,
+                inner~sep = \c_zero_dim ,
+                fit = (__nm~south~west) (__nm~north~east)
+              ]
+            ;
+          }
+      }
+  }
 \NewDocumentEnvironment { NiceArray } { O { } m ! O { } }
   {
     \bool_if:NT \l__nm_in_NiceArray_bool
@@ -407,7 +465,6 @@
     \dim_gset_eq:NN \g__nm_left_margin_dim \l__nm_left_margin_dim
     \dim_gset_eq:NN \g__nm_right_margin_dim \l__nm_right_margin_dim
     \dim_gset_eq:NN \g__nm_extra_right_margin_dim \l__nm_extra_right_margin_dim
-    \tl_gset_eq:NN \g__nm_code_after_tl \l__nm_code_after_tl
     \tl_gset_eq:NN \g__nm_name_str \l__nm_name_str
     \cs_set:Npn \ialign
        {
@@ -434,35 +491,34 @@
        }
     \cs_set_eq:NN \NC@find@w \relax
     \cs_set_eq:NN \NC@find@W \relax
-    \newcolumntype w [ 2 ]
-      {
-        > {
-            \hbox_set:Nw \l_tmpa_box
-            \__nm_Cell:}
-        c
-        < {
-            \__nm_end_Cell:
-            \hbox_set_end:
-            \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box }
-          }
-      }
-    \newcolumntype W [ 2 ]
+    \__nm_renewcolumntype:nn w { }
+    \__nm_renewcolumntype:nn W { \cs_set_eq:NN \hss \hfil }
+    \exp_args:Nx \newcolumntype \l__nm_letter_for_dotted_lines_str
       {
-        > {
-            \hbox_set:Nw \l_tmpa_box
-            \__nm_Cell:
+        !
+          {
+            \skip_horizontal:n { 0.53 pt }
+            \bool_gset_true:N \g__nm_extra_nodes_bool
+            \int_compare:nNnT \g__nm_row_int = 1
+              {
+                \int_compare:nNnTF \g__nm_column_int = \c_zero_dim
+                  { \__nm_error:n { Use~of~:~in~first~position } }
+                  {
+                    \tl_gput_right:Nx \g__nm_code_after_tl
+                      {
+                        \exp_not:N \__nm_vdottedline:n
+                        \exp_not:N {
+                        \int_use:N \g__nm_column_int
+                        \exp_not:N }
+                      }
+                  }
+              }
           }
-       c
-       < {
-           \__nm_end_Cell:
-           \hbox_set_end:
-           \cs_set_eq:NN \hss \hfil
-           \makebox [ ##2 ] [ ##1 ] { \box_use:N \l_tmpa_box }
-         }
       }
     \bool_if:NTF \c__nm_draft_bool
       \__nm_define_dots_to_nil:
       \__nm_define_dots:
+    \cs_set_eq:NN \hdottedline \__nm_hdottedline:
     \cs_set_eq:NN \Hspace \__nm_Hspace:
     \cs_set_eq:NN \Hdotsfor \__nm_Hdotsfor
     \cs_set_eq:NN \multicolumn \__nm_multicolumn:nnn
@@ -600,6 +656,7 @@
       }
     \cs_set_eq:NN \line \__nm_line:nn
     \g__nm_code_after_tl
+    \tl_gclear:N \g__nm_code_after_tl
     \group_end:
   }
 \cs_new_protected:Nn \__nm_find_extremities_of_line:nnnn
@@ -908,7 +965,8 @@
                 \int_set:Nn \l_tmpa_int
                   { \dim_ratio:nn { \l__nm_l_dim - 0.3 em } { 0.45 em } }
               }
-              { \int_set:Nn \l_tmpa_int
+              {
+                \int_set:Nn \l_tmpa_int
                   { \dim_ratio:nn { \l__nm_l_dim - 0.6 em } { 0.45 em }}
               }
           }
@@ -1081,6 +1139,108 @@
     \end { tikzpicture }
     \__nm_draw_tikz_line:
   }
+\cs_new:Nn \__nm_hdottedline:
+  {
+    \noalign { \skip_vertical:n { 0.53 pt } }
+    \__nm_hdottedline_i:
+  }
+\cs_new_protected:Nn \__nm_hdottedline_i:
+  {
+    \int_compare:nNnTF \g__nm_row_int < 2
+      { \__nm_error:n { Use~of~hdottedline~in~first~position } }
+      {
+        \bool_gset_true:N \g__nm_extra_nodes_bool
+        \bool_if:NF \c__nm_draft_bool
+          {
+            \tl_gput_right:Nx \g__nm_code_after_tl
+              {
+                \exp_not:N \__nm_hdottedline:n
+                \exp_not:N {
+                \int_eval:n { \g__nm_row_int - 1 }
+                \exp_not:N }
+              }
+          }
+      }
+  }
+\cs_new_protected:Nn \__nm_hdottedline:n
+  {
+    \__nm_create_extra_nodes:
+    \dim_zero_new:N \g__nm_x_initial_dim
+    \dim_zero_new:N \g__nm_y_initial_dim
+    \dim_zero_new:N \g__nm_x_final_dim
+    \dim_zero_new:N \g__nm_y_final_dim
+    \bool_set_true:N \l__nm_initial_open_bool
+    \bool_set_true:N \l__nm_final_open_bool
+    \begin { tikzpicture } [ remember~picture ]
+      \tikz@parse@node\pgfutil@firstofone
+        ( #1 - 1 -large .south~west )
+      \dim_gset:Nn \g__nm_x_initial_dim \pgf@x
+      \dim_gset:Nn \g__nm_y_initial_dim \pgf@y
+      \tikz@parse@node\pgfutil@firstofone
+        ( #1 - \int_use:N \g__nm_column_int -large .south~east )
+      \dim_gset:Nn \g__nm_x_final_dim \pgf@x
+      \dim_gset:Nn \g__nm_y_final_dim \pgf@y
+    \end { tikzpicture }
+    \__nm_draw_tikz_line:
+  }
+\__nm_msg_new:nn { Use~of~hdottedline~in~first~position }
+  {
+    You~can't~use~the~command~\token_to_str:N\hdottedline\ in~the~first~row~
+    of~the~environment~\{\@currenvir\}. \\
+    If~you~go~on,~this~dotted~line~will~be~ignored.
+  }
+\cs_new_protected:Nn \__nm_vdottedline:n
+  {
+    \int_compare:nNnTF #1 = \c_zero_int
+      { \__nm_error:n { Use~of~:~in~first~position } }
+      {
+        \__nm_create_extra_nodes:
+        \bool_if:NF \c__nm_draft_bool
+          {
+            \dim_zero_new:N \g__nm_x_initial_dim
+            \dim_zero_new:N \g__nm_y_initial_dim
+            \dim_zero_new:N \g__nm_x_final_dim
+            \dim_zero_new:N \g__nm_y_final_dim
+            \bool_set_true:N \l__nm_initial_open_bool
+            \bool_set_true:N \l__nm_final_open_bool
+            \cs_if_exist:cTF
+              { pgf@sh@ns@nm -\int_use:N \g__nm_env_int - 1 - #1 - w }
+              {
+                \begin { tikzpicture } [ remember~picture ]
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( 1 - #1 - w .north~east )
+                  \dim_gset:Nn \g__nm_x_initial_dim \pgf@x
+                  \dim_gset:Nn \g__nm_y_initial_dim \pgf@y
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( \int_use:N \g__nm_row_int - #1 - w .south~east )
+                  \dim_gset:Nn \g__nm_x_final_dim \pgf@x
+                  \dim_gset:Nn \g__nm_y_final_dim \pgf@y
+                \end { tikzpicture }
+                \dim_gadd:Nn \g__nm_x_initial_dim \arraycolsep
+                \dim_gadd:Nn \g__nm_x_final_dim \arraycolsep
+              }
+              {
+                \begin { tikzpicture } [ remember~picture ]
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( 1 - #1 - large .north~east )
+                  \dim_gset:Nn \g__nm_x_initial_dim \pgf@x
+                  \dim_gset:Nn \g__nm_y_initial_dim \pgf@y
+                  \tikz@parse@node\pgfutil@firstofone
+                    ( \int_use:N \g__nm_row_int - #1 - large .south~east )
+                  \dim_gset:Nn \g__nm_x_final_dim \pgf@x
+                  \dim_gset:Nn \g__nm_y_final_dim \pgf@y
+                \end { tikzpicture }
+              }
+            \__nm_draw_tikz_line:
+          }
+      }
+  }
+\__nm_msg_new:nn { Use~of~:~in~first~position }
+  {
+    You~can't~use~the~column~specifier~"\l__nm_letter_for_dotted_lines_str"~in~the~
+    first~position~of~the~preamble~of~the~environment~\{\@currenvir\}. \\
+    If~you~go~on,~this~dotted~line~will~be~ignored.
+  }
 \bool_new:N \l__nm_block_auto_columns_width_bool
 \keys_define:nn { NiceMatrix / NiceMatrixBlock }
   {