luamesh.sty

   1 \NeedsTeXFormat{LaTeX2e}%
   2 \def\PackageName{luamesh}%
   3 \def\fileversion{v0.5}%
   4 \def\filedate{2017/02/09}%
   5 \ProvidesPackage{luamesh}[\filedate\space\fileversion]%
   6 %
   7 % package to load
   8 \RequirePackage{xkeyval,xcolor,ifthen}%
   9 %% one global option: mp or tikz
  10 %\newif\ifluameshmp%
  11 %\define@key{luamesh.sty}{mp}[]{\luameshmptrue}%
  12 %\define@key{luamesh.sty}{tikz}[]{\luameshmpfalse}%
  13 %
  14 %\RequirePackage{etoolbox} % pour robustifier les commandes
  15 %
  16 %
  17 %\ifluameshmp%
  18    \RequirePackage{luamplib}%
  19 %\else%
  20    \RequirePackage{tikz}%
  21 %\fi%
  22 %
  23 % load the lua code
  24 \directlua{require("luamesh.lua")}%
  25 %
  26 %%
  27 % for tikz (default value)
  28 % default color for the plot of a global mesh
  29 \definecolor{TeXCluaMeshTikZ}{rgb}{0.,0.,0.}
  30 % default color for a new element
  31 \definecolor{TeXCluaMeshNewTikZ}{rgb}{0.5,0.1,0.1}
  32 % defaut color for the background of new element
  33 \definecolor{TeXCluaMeshBackTikZ}{rgb}{0.99,0.85,0.85}
  34 % default color for circoncircle
  35 \definecolor{TeXCluaMeshCircleTikZ}{rgb}{0.1,0.6,0.1}
  36 %%
  37 %
  38 %%%%%%%%%%%%%%%% the buildMesh command inc
  39 %% the user can write code (tikz or MP)
  40 %% before and after the generated code
  41 \define@boolkey{buildMeshInc}{tikz}[true]{}%
  42 %% show the bounding box for delaunay
  43 \define@choicekey*{buildMeshInc}{bbox}[\val\nr]{none, show}{%
  44   \ifcase\nr\relax%
  45   \def\luameshval@bmi@bbox{none}%
  46   \or%
  47   \def\luameshval@bmi@bbox{bbox}%
  48   \fi%
  49 }%
  50 %% the scale
  51 \define@key{buildMeshInc}{scale}[1cm]{\def\luameshval@bmi@scale{#1}}%
  52 %% print ponits ?
  53 \define@choicekey*{buildMeshInc}{print}[\val\nr]{none, points,dotpoints}{%
  54   \ifcase\nr\relax%
  55   \def\luameshval@bmi@print{none}%
  56   \or%
  57   \def\luameshval@bmi@print{points}%
  58   \or%
  59   \def\luameshval@bmi@print{dotpoints}%
  60   \fi%
  61 }%
  62 %% the name of the point
  63 \define@key{buildMeshInc}{meshpoint}[P]{\def\luameshval@bmi@meshpoint{#1}}%
  64 %% the mode for reading the points
  65 \define@choicekey*{buildMeshInc}{mode}[\val\nr]{int, ext}{%
  66   \ifcase\nr\relax%
  67   \def\luameshval@bmi@mode{int}%
  68   \or%
  69   \def\luameshval@bmi@mode{ext}%
  70   \fi%
  71 }%
  72 %% the name of the color of drawing
  73 \define@key{buildMeshInc}{color}[black]{\def\luameshval@bmi@color{#1}}%
  74 %% the name of the color of drawing the bbox
  75 \define@key{buildMeshInc}{colorBbox}[black]{\def\luameshval@bmi@colorbbox{#1}}%
  76 %
  77 \presetkeys{buildMeshInc}{tikz=false,bbox=none,scale, meshpoint,mode=int,print=none,color,colorBbox}{}%
  78 %
  79 \newcommand*{\buildMeshBWinc}[4][]{%
  80   % #1 : optionnal arguments
  81   % #2 : the string containing the list of points
  82   %      (x1,y1);(x2,y2);... or the name file containing the points
  83   % #3 : the code to place before the generated one
  84   % #4 : the code to place after the generated one
  85   \setkeys{buildMeshInc}{#1} %
  86   \def\MeshPoint{\luameshval@bmi@meshpoint}%
  87   \ifKV@buildMeshInc@tikz% if we are using tikz
  88   \directlua{%
  89     buildMeshTikZBWinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@bmi@mode","\luameshval@bmi@print","\luameshval@bmi@bbox","\luameshval@bmi@scale","\luameshval@bmi@color","\luameshval@bmi@colorbbox")%
  90   }%
  91   \else % we are using MP
  92   \mplibcolor{\luameshmpcolor}{\luameshval@bmi@color}%
  93   \mplibcolor{\luameshmpcolorBbox}{\luameshval@bmi@colorbbox}%
  94   \directlua{%
  95     buildMeshMPBWinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@bmi@mode","\luameshval@bmi@print","\luameshval@bmi@bbox","\luameshval@bmi@scale")%
  96   }%
  97   %
  98   \fi%
  99 }%
 100 %
 101 %%%%%%%%%%%%%%%% the buildMeshBW command
 102 %% the code is complete and we don't have any callbacks
 103 \define@boolkey{buildMesh}{tikz}[true]{}%
 104 %% show the bounding box for delaunay
 105 \define@choicekey*{buildMesh}{bbox}[\val\nr]{none, show}{%
 106   \ifcase\nr\relax%
 107   \def\luameshval@bm@bbox{none}%
 108   \or%
 109   \def\luameshval@bm@bbox{bbox}%
 110   \fi%
 111 }%
 112 %% the scale
 113 \define@key{buildMesh}{scale}[1cm]{\def\luameshval@bm@scale{#1}}%
 114 %% print points
 115 \define@choicekey*{buildMesh}{print}[\val\nr]{none, points, dotpoints}{%
 116   \ifcase\nr\relax%
 117   \def\luameshval@bm@print{none}%
 118   \or%
 119   \def\luameshval@bm@print{points}%
 120   \or%
 121   \def\luameshval@bm@print{dotpoints}%
 122   \fi%
 123 }%
 124 %% the name of the point
 125 \define@key{buildMesh}{meshpoint}[P]{\def\luameshval@bm@meshpoint{#1}}%
 126 %% the mode for reading the points
 127 \define@choicekey*{buildMesh}{mode}[\val\nr]{int, ext}{%
 128   \ifcase\nr\relax%
 129   \def\luameshval@bm@mode{int}%
 130   \or%
 131   \def\luameshval@bm@mode{ext}%
 132   \fi%
 133 }%
 134 %% the name of the color of drawing
 135 \define@key{buildMesh}{color}[black]{\def\luameshval@bm@color{#1}}%
 136 %% the name of the color of drawing the bbox
 137 \define@key{buildMesh}{colorBbox}[black]{\def\luameshval@bm@colorbbox{#1}}%
 138 %
 139 \presetkeys{buildMesh}{tikz=false,bbox=none,scale, meshpoint,mode=int,print=none,color,colorBbox}{}%
 140 %
 141 \newcommand{\buildMeshBW}[2][]{%
 142   % #1 : optionnal arguments
 143   % #2 : the string containing the list of points
 144   % (x1,y1);(x2,y2);... or the name file containing the points
 145   \setkeys{buildMesh}{#1} %
 146   \def\MeshPoint{\luameshval@bm@meshpoint}%
 147   \ifKV@buildMesh@tikz% if we are using tikz
 148   \directlua{%
 149     buildMeshTikZBW("#2","\luameshval@bm@mode","\luameshval@bm@print","\luameshval@bm@bbox","\luameshval@bm@scale","\luameshval@bm@color","\luameshval@bm@colorbbox")%
 150   }%
 151   \else % we are using MP
 152   \mplibcolor{\luameshmpcolor}{\luameshval@bm@color}%
 153   \mplibcolor{\luameshmpcolorBbox}{\luameshval@bm@colorbbox}%
 154   \directlua{%
 155     buildMeshMPBW("#2","\luameshval@bm@mode","\luameshval@bm@print","\luameshval@bm@bbox","\luameshval@bm@scale")%
 156   }%
 157   %
 158   \fi%
 159 }%
 160 %%%%%%%%%%%%%%%% the buildVoronoi command
 161 %% the user can write code (tikz or MP)
 162 %% before and after the generated code
 163 \define@boolkey{buildVoronoiInc}{tikz}[true]{}%
 164 %% show the bounding box for delaunay
 165 \define@choicekey*{buildVoronoiInc}{bbox}[\val\nr]{none, show}{%
 166   \ifcase\nr\relax%
 167   \def\luameshval@bvi@bbox{none}%
 168   \or%
 169   \def\luameshval@bvi@bbox{bbox}%
 170   \fi%
 171 }%
 172 %% the scale
 173 \define@key{buildVoronoiInc}{scale}[1cm]{\def\luameshval@bvi@scale{#1}}%
 174 %% print ponits ?
 175 \define@choicekey*{buildVoronoiInc}{print}[\val\nr]{none, points}{%
 176   \ifcase\nr\relax%
 177   \def\luameshval@bvi@print{none}%
 178   \or%
 179   \def\luameshval@bvi@print{points}%
 180   \fi%
 181 }%
 182 %% style dashed Delaunay
 183 \define@choicekey*{buildVoronoiInc}{styleDelaunay}[\val\nr]{none, dashed}{%
 184   \ifcase\nr\relax%
 185   \def\luameshval@bvi@styleDelaunay{none}%
 186   \or%
 187   \def\luameshval@bvi@styleDelaunay{dashed}%
 188   \fi%
 189 }%
 190 %% style dashed Voronoi
 191 \define@choicekey*{buildVoronoiInc}{styleVoronoi}[\val\nr]{none, dashed}{%
 192   \ifcase\nr\relax%
 193   \def\luameshval@bvi@styleVoronoi{none}%
 194   \or%
 195   \def\luameshval@bvi@styleVoronoi{dashed}%
 196   \fi%
 197 }%
 198 %% the name of the point
 199 \define@key{buildVoronoiInc}{meshpoint}[P]{\def\luameshval@bvi@meshpoint{#1}}%
 200 %% the name of the circum point
 201 \define@key{buildVoronoiInc}{circumpoint}[P]{\def\luameshval@bvi@circumpoint{#1}}%
 202 %% the mode for reading the points
 203 \define@choicekey*{buildVoronoiInc}{mode}[\val\nr]{int, ext}{%
 204   \ifcase\nr\relax%
 205   \def\luameshval@bvi@mode{int}%
 206   \or%
 207   \def\luameshval@bvi@mode{ext}%
 208   \fi%
 209 }%
 210 %% the mode for reading the points
 211 \define@choicekey*{buildVoronoiInc}{delaunay}[\val\nr]{none, show}{%
 212   \ifcase\nr\relax%
 213   \def\luameshval@bvi@delaunay{none}%
 214   \or%
 215   \def\luameshval@bvi@delaunay{show}%
 216   \fi%
 217 }%
 218 %% the name of the color of drawing
 219 \define@key{buildVoronoiInc}{color}[black]{\def\luameshval@bvi@color{#1}}%
 220 %% the name of the color of drawing Voronoi
 221 \define@key{buildVoronoiInc}{colorVoronoi}[red]{\def\luameshval@bvi@colorvoronoi{#1}}%
 222 %% the name of the color of drawing the bbox
 223 \define@key{buildVoronoiInc}{colorBbox}[black]{\def\luameshval@bvi@colorbbox{#1}}%
 224 %
 225 \presetkeys{buildVoronoiInc}{tikz=false,bbox=none,scale, meshpoint,circumpoint,mode=int,print=none,color,colorVoronoi,colorBbox,delaunay=none,styleDelaunay=none,styleVoronoi=none}{}%
 226 %
 227 \newcommand*{\buildVoronoiBWinc}[4][]{%
 228   % #1 : optionnal arguments
 229   % #2 : the string containing the list of points
 230   % (x1,y1);(x2,y2);... or the name file containing the points
 231   % #3 : the code to place before the generated one
 232   % #4 : the code to place after the generated one
 233   \setkeys{buildVoronoiInc}{#1} %
 234   \def\MeshPoint{\luameshval@bvi@meshpoint}%
 235   \def\CircumPoint{\luameshval@bvi@circumpoint}%
 236   \ifKV@buildVoronoiInc@tikz% if we are using tikz
 237   \directlua{%
 238     buildVoronoiTikZBWinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@bvi@mode","\luameshval@bvi@print","\luameshval@bvi@bbox","\luameshval@bvi@scale","\luameshval@bvi@delaunay","\luameshval@bvi@color","\luameshval@bvi@colorbbox","\luameshval@bvi@colorvoronoi","\luameshval@bvi@styleDelaunay","\luameshval@bvi@styleVoronoi")%
 239   }%
 240   \else % we are using MP
 241   \mplibcolor{\luameshmpcolor}{\luameshval@bvi@color}%
 242   \mplibcolor{\luameshmpcolorBbox}{\luameshval@bvi@colorbbox}%
 243   \mplibcolor{\luameshmpcolorVoronoi}{\luameshval@bvi@colorvoronoi}%
 244   \directlua{%
 245     buildVoronoiMPBWinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@bvi@mode","\luameshval@bvi@print","\luameshval@bvi@bbox","\luameshval@bvi@scale","\luameshval@bvi@delaunay","\luameshval@bvi@styleDelaunay","\luameshval@bvi@styleVoronoi")%
 246   }%
 247   %
 248   \fi%
 249 }%
 250 %
 251 %%%%%%%%%%%%%%%% the buildVoronoiBW command
 252 %% the code is complete and we don't have any callbacks
 253 \define@boolkey{buildVoronoi}{tikz}[true]{}%
 254 %% show the bounding box for delaunay
 255 \define@choicekey*{buildVoronoi}{bbox}[\val\nr]{none, show}{%
 256   \ifcase\nr\relax%
 257   \def\luameshval@bv@bbox{none}%
 258   \or%
 259   \def\luameshval@bv@bbox{bbox}%
 260   \fi%
 261 }%
 262 %% the scale
 263 \define@key{buildVoronoi}{scale}[1cm]{\def\luameshval@bv@scale{#1}}%
 264 %% print points
 265 \define@choicekey*{buildVoronoi}{print}[\val\nr]{none, points}{%
 266   \ifcase\nr\relax%
 267   \def\luameshval@bv@print{none}%
 268   \or%
 269   \def\luameshval@bv@print{points}%
 270   \fi%
 271 }%
 272 %% the name of the point
 273 \define@key{buildVoronoi}{meshpoint}[P]{\def\luameshval@bv@meshpoint{#1}}%
 274 %% the name of the circum point
 275 \define@key{buildVoronoi}{circumpoint}[P]{\def\luameshval@bv@circumpoint{#1}}%
 276 %% the mode for reading the points
 277 \define@choicekey*{buildVoronoi}{mode}[\val\nr]{int, ext}{%
 278   \ifcase\nr\relax%
 279   \def\luameshval@bv@mode{int}%
 280   \or%
 281   \def\luameshval@bv@mode{ext}%
 282   \fi%
 283 }%
 284 %% style dashed Delaunay
 285 \define@choicekey*{buildVoronoi}{styleDelaunay}[\val\nr]{none, dashed}{%
 286   \ifcase\nr\relax%
 287   \def\luameshval@bv@styleDelaunay{none}%
 288   \or%
 289   \def\luameshval@bv@styleDelaunay{dashed}%
 290   \fi%
 291 }%
 292 %% style dashed Voronoi
 293 \define@choicekey*{buildVoronoi}{styleVoronoi}[\val\nr]{none, dashed}{%
 294   \ifcase\nr\relax%
 295   \def\luameshval@bv@styleVoronoi{none}%
 296   \or%
 297   \def\luameshval@bv@styleVoronoi{dashed}%
 298   \fi%
 299 }%
 300 %% the mode for reading the points
 301 \define@choicekey*{buildVoronoi}{delaunay}[\val\nr]{none, show}{%
 302   \ifcase\nr\relax%
 303   \def\luameshval@bv@delaunay{none}%
 304   \or%
 305   \def\luameshval@bv@delaunay{show}%
 306   \fi%
 307 }%
 308 %% the name of the color of drawing
 309 \define@key{buildVoronoi}{color}[black]{\def\luameshval@bv@color{#1}}%
 310 %% the name of the color of drawing Voronoi
 311 \define@key{buildVoronoi}{colorVoronoi}[red]{\def\luameshval@bv@colorVoronoi{#1}}%
 312 %% the name of the color of drawing the bbox
 313 \define@key{buildVoronoi}{colorBbox}[black]{\def\luameshval@bv@colorbbox{#1}}%
 314 %
 315 \presetkeys{buildVoronoi}{tikz=false,bbox=none,scale,
 316   meshpoint,circumpoint,mode=int,print=none,color,colorVoronoi,colorBbox,delaunay=none,styleDelaunay=none, styleVoronoi=none}{}%
 317 %
 318 \newcommand{\buildVoronoiBW}[2][]{%
 319   % #1 : optionnal arguments
 320   % #2 : the string containing the list of points
 321   % (x1,y1);(x2,y2);... or the name file containing the points
 322   \setkeys{buildVoronoi}{#1} %
 323   \def\MeshPoint{\luameshval@bv@meshpoint}%
 324   \def\CircumPoint{\luameshval@bv@circumpoint}%
 325   \ifKV@buildVoronoi@tikz% if we are using tikz
 326   \directlua{%
 327     buildVoronoiTikZBW("#2","\luameshval@bv@mode","\luameshval@bv@print","\luameshval@bv@bbox","\luameshval@bv@scale","\luameshval@bv@delaunay","\luameshval@bv@color","\luameshval@bv@colorbbox","\luameshval@bv@colorVoronoi","\luameshval@bv@styleDelaunay","\luameshval@bv@styleVoronoi")%
 328   }%
 329   \else % we are using MP
 330   \mplibcolor{\luameshmpcolor}{\luameshval@bv@color}%
 331   \mplibcolor{\luameshmpcolorBbox}{\luameshval@bv@colorbbox}%
 332   \mplibcolor{\luameshmpcolorVoronoi}{\luameshval@bv@colorVoronoi}%
 333   \directlua{%
 334     buildVoronoiMPBW("#2","\luameshval@bv@mode","\luameshval@bv@print","\luameshval@bv@bbox","\luameshval@bv@scale","\luameshval@bv@delaunay","\luameshval@bv@styleDelaunay","\luameshval@bv@styleVoronoi")%
 335   }%
 336   %
 337   \fi%
 338 }%
 339 %
 340 %
 341 %%%%%%%%%%%%%%%%% the draw Points macro
 342 %% plot the list of points given in argument
 343 % the engine
 344 \define@boolkey{drawPoints}{tikz}[true]{}%
 345 %% show the bounding box for delaunay
 346 \define@choicekey*{drawPoints}{bbox}[\val\nr]{none, show}{%
 347   \ifcase\nr\relax%
 348   \def\luameshval@tp@bbox{none}%
 349   \or%
 350   \def\luameshval@tp@bbox{bbox}%
 351   \fi%
 352 }%
 353 %% the scale
 354 \define@key{drawPoints}{scale}[1cm]{\def\luameshval@tp@scale{#1}}%
 355 %% print points
 356 \define@choicekey*{drawPoints}{print}[\val\nr]{none, points}{%
 357   \ifcase\nr\relax%
 358   \def\luameshval@tp@print{none}%
 359   \or%
 360   \def\luameshval@tp@print{points}%
 361   \fi%
 362 }%
 363 %% the name of the point
 364 \define@key{drawPoints}{meshpoint}[P]{\def\luameshval@tp@meshpoint{#1}}%
 365 %% the mode for reading the points
 366 \define@choicekey*{drawPoints}{mode}[\val\nr]{int, ext}{%
 367   \ifcase\nr\relax%
 368   \def\luameshval@tp@mode{int}%
 369   \or%
 370   \def\luameshval@tp@mode{ext}%
 371   \fi%
 372 }%
 373 %% the name of the color of drawing
 374 \define@key{drawPoints}{color}[black]{\def\luameshval@tp@color{#1}}%
 375 %% the name of the color of drawing the bbox
 376 \define@key{drawPoints}{colorBbox}[black]{\def\luameshval@tp@colorbbox{#1}}%
 377 %
 378 \presetkeys{drawPoints}{tikz=false,bbox=none,scale, meshpoint,mode=int,print=none,color,colorBbox}{}%
 379 %
 380 \newcommand{\drawPointsMesh}[2][]{%
 381   % #1 : optionnal arguments
 382   % #2 : the string containing the list of points
 383   % (x1,y1);(x2,y2);... or the name file containing the points
 384   \setkeys{drawPoints}{#1} %
 385   \def\MeshPoint{\luameshval@tp@meshpoint}%
 386   \ifKV@drawPoints@tikz% if we are using tikz
 387   \directlua{%
 388     printPointsTikZ("#2","\luameshval@tp@mode","\luameshval@tp@print","\luameshval@tp@bbox","\luameshval@tp@scale","\luameshval@tp@color","\luameshval@tp@colorbbox")%
 389   }%
 390   \else % we are using MP
 391   \mplibcolor{\luameshmpcolor}{\luameshval@tp@color}%
 392   \mplibcolor{\luameshmpcolorBbox}{\luameshval@tp@colorbbox}%
 393   \directlua{%
 394     printPointsMP("#2","\luameshval@tp@mode","\luameshval@tp@print","\luameshval@tp@bbox","\luameshval@tp@scale")%
 395   }%
 396   %
 397   \fi%
 398 }%
 399 %
 400
 401 %%%%%%%%%%%%%%%% the draw Points macro inc with callbacks
 402 %% engine of drawing
 403 \define@boolkey{drawPointsInc}{tikz}[true]{}%
 404 %% show the bounding box for delaunay
 405 \define@choicekey*{drawPointsInc}{bbox}[\val\nr]{none, show}{%
 406   \ifcase\nr\relax%
 407   \def\luameshval@tpi@bbox{none}%
 408   \or%
 409   \def\luameshval@tpi@bbox{bbox}%
 410   \fi%
 411 }%
 412 %% the scale
 413 \define@key{drawPointsInc}{scale}[1cm]{\def\luameshval@tpi@scale{#1}}%
 414 %% print points
 415 \define@choicekey*{drawPointsInc}{print}[\val\nr]{none, points}{%
 416   \ifcase\nr\relax%
 417   \def\luameshval@tpi@print{none}%
 418   \or%
 419   \def\luameshval@tpi@print{points}%
 420   \fi%
 421 }%
 422 %% the name of the point
 423 \define@key{drawPointsInc}{meshpoint}[P]{\def\luameshval@tpi@meshpoint{#1}}%
 424 %% the mode for reading the points
 425 \define@choicekey*{drawPointsInc}{mode}[\val\nr]{int, ext}{%
 426   \ifcase\nr\relax%
 427   \def\luameshval@tpi@mode{int}%
 428   \or%
 429   \def\luameshval@tpi@mode{ext}%
 430   \fi%
 431 }%
 432 %
 433 % color
 434 %% the name of the color of drawing
 435 \define@key{drawPointsInc}{color}[black]{\def\luameshval@tpi@color{#1}}%
 436 %% the name of the color of drawing the bbox
 437 \define@key{drawPointsInc}{colorBbox}[black]{\def\luameshval@tpi@colorbbox{#1}}%
 438 %
 439 \presetkeys{drawPointsInc}{tikz=false,bbox=none,scale, meshpoint,mode=int,print=none,color,colorBbox}{}%
 440 %
 441 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 442 \newcommand*{\drawPointsMeshinc}[4][]{%
 443   % #1 : optionnal arguments
 444   % #2 : the string containing the list of points
 445   % (x1,y1);(x2,y2);... or the name file containing the points
 446   % #3 : the code to place before the generated one
 447   % #4 : the code to place after the generated one
 448   \setkeys{drawPointsInc}{#1} %
 449   \def\MeshPoint{\luameshval@tpi@meshpoint}%
 450   \ifKV@drawPointsInc@tikz% if we are using tikz
 451   \directlua{%
 452     printPointsTikZinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@tpi@mode","\luameshval@tpi@print","\luameshval@tpi@bbox","\luameshval@tpi@scale","\luameshval@tpi@color","\luameshval@tpi@colorbbox")%
 453   }%
 454   \else % we are using MP
 455   \mplibcolor{\luameshmpcolor}{\luameshval@tpi@color}%
 456   \mplibcolor{\luameshmpcolorBbox}{\luameshval@tpi@colorbbox}%
 457   \directlua{%
 458     printPointsMPinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@tpi@mode","\luameshval@tpi@print","\luameshval@tpi@bbox","\luameshval@tpi@scale")%
 459   }%
 460   \fi%
 461 }%
 462 %
 463 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 464 %% the meshAddOnePointBW commande
 465 %%engine of draiwng
 466 \define@boolkey{MeshAddOneBW}{tikz}[true]{}%
 467 %% the scale
 468 \define@key{MeshAddOneBW}{scale}[1cm]{\def\luameshval@ap@scale{#1}}%
 469 %% the name of the points
 470 \define@key{MeshAddOneBW}{meshpoint}[P]{\def\luameshval@ap@meshpoint{#1}}%
 471 %% the name of the new point
 472 \define@key{MeshAddOneBW}{newpoint}[P]{\def\luameshval@ap@newpoint{#1}}%
 473 %% a complete picture or some code of the engine
 474 \define@choicekey*{MeshAddOneBW}{step}[\val\nr]{badtriangles, cavity, newtriangles}{%
 475   \ifcase\nr\relax%
 476   \def\luameshval@ap@step{badT}%
 477   \or%
 478   \def\luameshval@ap@step{cavity}%
 479   \or%
 480   \def\luameshval@ap@step{newT}%
 481   \fi%
 482 }%
 483 % color
 484 %% the color of drawing
 485 \define@key{MeshAddOneBW}{color}[black]{\def\luameshval@ap@color{#1}}%
 486 %% the color of background of new element
 487 \define@key{MeshAddOneBW}{colorBack}[black!20]{\def\luameshval@ap@colorback{#1}}%
 488 %% the color of new element
 489 \define@key{MeshAddOneBW}{colorNew}[red]{\def\luameshval@ap@colornew{#1}}%
 490 %% the color of circoncircle
 491 \define@key{MeshAddOneBW}{colorCircle}[green]{\def\luameshval@ap@colorcircle{#1}}%
 492 %% the name of the color of drawing the bbox
 493 \define@key{MeshAddOneBW}{colorBbox}[black]{\def\luameshval@ap@colorbbox{#1}}%
 494 %
 495 %% a complete picture or some code of the engine
 496 \define@choicekey*{MeshAddOneBW}{mode}[\val\nr]{int, ext}{%
 497   \ifcase\nr\relax%
 498   \def\luameshval@ap@mode{int}%
 499   \or%
 500   \def\luameshval@ap@mode{ext}%
 501   \fi%
 502 }%
 503 \define@choicekey*{MeshAddOneBW}{bbox}[\val\nr]{none, show}{%
 504   \ifcase\nr\relax%
 505   \def\luameshval@ap@bbox{none}%
 506   \or%
 507   \def\luameshval@ap@bbox{bbox}%
 508   \fi%
 509 }%
 510 \presetkeys{MeshAddOneBW}{tikz=false,scale, meshpoint,newpoint,color,colorBack,colorNew,colorCircle,step=badtriangles,mode=int,bbox=none,colorBbox}{}%
 511 %
 512 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 513 \newcommand*{\meshAddPointBW}[3][]{%
 514   % #1 : optionnal arguments
 515   % #2 : the string containing the list of points
 516   % (x1,y1);(x2,y2);... or the name file containing the points
 517   \setkeys{MeshAddOneBW}{#1} %
 518   \def\MeshPoint{\luameshval@ap@meshpoint}%
 519   \def\NewPoint{\luameshval@ap@newpoint}%
 520   \ifKV@MeshAddOneBW@tikz% if we are using tikz
 521   \directlua{%
 522     TeXOnePointTikZBW("#2","#3","\luameshval@ap@step","\luameshval@ap@scale","\luameshval@ap@mode","\luameshval@ap@bbox","\luameshval@ap@color","\luameshval@ap@colorback","\luameshval@ap@colornew","\luameshval@ap@colorcircle","\luameshval@ap@colorbbox")%
 523   }%
 524   \else % we are using MP
 525   \mplibcolor{\luameshmpcolor}{\luameshval@ap@color}
 526   \mplibcolor{\luameshmpcolorBack}{\luameshval@ap@colorback}
 527   \mplibcolor{\luameshmpcolorNew}{\luameshval@ap@colornew}
 528   \mplibcolor{\luameshmpcolorCircle}{\luameshval@ap@colorcircle}
 529   \mplibcolor{\luameshmpcolorBbox}{\luameshval@ap@colorbbox}
 530   \directlua{%
 531     TeXOnePointMPBW("#2","#3","\luameshval@ap@step","\luameshval@ap@scale","\luameshval@ap@mode","\luameshval@ap@bbox")%
 532   }%
 533   %
 534   \fi%
 535 }%
 536 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 537 %%% the meshAddPointBWinc commande with callbacks
 538 %% engine of drawing
 539 \define@boolkey{MeshAddOneBWinc}{tikz}[true]{}%
 540 %% the scale
 541 \define@key{MeshAddOneBWinc}{scale}[1cm]{\def\luameshval@api@scale{#1}}%
 542 %% the name of the points
 543 \define@key{MeshAddOneBWinc}{meshpoint}[P]{\def\luameshval@api@meshpoint{#1}}%
 544 %% the name of the new point
 545 \define@key{MeshAddOneBWinc}{newpoint}[P]{\def\luameshval@api@newpoint{#1}}%
 546 %% a complete picture or some code of the engine
 547 \define@choicekey*{MeshAddOneBWinc}{step}[\val\nr]{badtriangles, cavity, newtriangles}{%
 548   \ifcase\nr\relax%
 549   \def\luameshval@api@step{badT}%
 550   \or%
 551   \def\luameshval@api@step{cavity}%
 552   \or%
 553   \def\luameshval@api@step{newT}%
 554   \fi%
 555 }%
 556 % color
 557 %% the color of drawing
 558 \define@key{MeshAddOneBWinc}{color}[black]{\def\luameshval@api@color{#1}}%
 559 %% the color of background of new element
 560 \define@key{MeshAddOneBWinc}{colorBack}[black!20]{\def\luameshval@api@colorback{#1}}%
 561 %% the color of new element
 562 \define@key{MeshAddOneBWinc}{colorNew}[red]{\def\luameshval@api@colornew{#1}}%
 563 %% the color of circoncircle
 564 \define@key{MeshAddOneBWinc}{colorCircle}[green]{\def\luameshval@api@colorcircle{#1}}%
 565 \define@key{MeshAddOneBWinc}{colorBbox}[black]{\def\luameshval@api@colorbbox{#1}}%
 566 %
 567 %% a complete picture or some code of the engine
 568 \define@choicekey*{MeshAddOneBWinc}{mode}[\val\nr]{int, ext}{%
 569   \ifcase\nr\relax%
 570   \def\luameshval@api@mode{int}%
 571   \or%
 572   \def\luameshval@api@mode{ext}%
 573   \fi%
 574 }%
 575 \define@choicekey*{MeshAddOneBWinc}{bbox}[\val\nr]{none, show}{%
 576   \ifcase\nr\relax%
 577   \def\luameshval@api@bbox{none}%
 578   \or%
 579   \def\luameshval@api@bbox{bbox}%
 580   \fi%
 581 }%
 582 \presetkeys{MeshAddOneBWinc}{tikz=false,scale, meshpoint,newpoint,color,colorBack,colorNew,colorCircle,step=badtriangles,mode=int,bbox=none,colorBbox}{}%
 583 %
 584 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 585 \newcommand*{\meshAddPointBWinc}[5][]{%
 586   % #1 : optionnal arguments
 587   % #2 : the string containing the list of points
 588   % (x1,y1);(x2,y2);... or the name file containing the points
 589   % #3 : the code to place before the generated one
 590   % #4 : the code to place after the generated one
 591   \setkeys{MeshAddOneBWinc}{#1} %
 592   \def\MeshPoint{\luameshval@api@meshpoint}%
 593   \def\NewPoint{\luameshval@api@newpoint}%
 594   \ifKV@MeshAddOneBWinc@tikz% if we are using tikz
 595   \directlua{%
 596     TeXOnePointTikZBWinc("#2","#3","\luaescapestring{\unexpanded{#4}}","\luaescapestring{\unexpanded{#5}}","\luameshval@ap@step","\luameshval@ap@scale","\luameshval@ap@mode","\luameshval@ap@bbox","\luameshval@ap@color","\luameshval@ap@colorback","\luameshval@ap@colornew","\luameshval@ap@colorcircle","\luameshval@ap@colorbbox")%
 597   }%
 598   \else % we are using MP
 599   \mplibcolor{\luameshmpcolor}{\luameshval@api@color}
 600   \mplibcolor{\luameshmpcolorBack}{\luameshval@api@colorback}
 601   \mplibcolor{\luameshmpcolorNew}{\luameshval@api@colornew}
 602   \mplibcolor{\luameshmpcolorCircle}{\luameshval@api@colorcircle}
 603   \mplibcolor{\luameshmpcolorBbox}{\luameshval@api@colorbbox}
 604   \directlua{%
 605     TeXOnePointMPBWinc("#2","#3","\luaescapestring{\unexpanded{#4}}","\luaescapestring{\unexpanded{#5}}","\luameshval@api@step","\luameshval@api@scale","\luameshval@api@mode","\luameshval@api@bbox")%
 606   }%
 607   %
 608   \fi%
 609 }%
 610 %
 611 %%%%%%%%%%%%%%%% the drawGmsh command inc
 612 %% the user can write code (tikz or MP)
 613 %% before and after the generated code
 614 \define@boolkey{drawGmshInc}{tikz}[true]{}%
 615 %% the scale
 616 \define@key{drawGmshInc}{scale}[1cm]{\def\luameshvaldgi@scale{#1}}%
 617 %% print ponits ?
 618 \define@choicekey*{drawGmshInc}{print}[\val\nr]{none, points}{%
 619   \ifcase\nr\relax%
 620   \def\luameshvaldgi@print{none}%
 621   \or%
 622   \def\luameshvaldgi@print{points}%
 623   \fi%
 624 }%
 625 %% the name of the point
 626 \define@key{drawGmshInc}{meshpoint}[P]{\def\luameshvaldgi@meshpoint{#1}}%
 627 %% the name of the color of drawing
 628 \define@key{drawGmshInc}{color}[black]{\def\luameshvaldgi@color{#1}}%
 629 %
 630 \presetkeys{drawGmshInc}{tikz=false,scale, meshpoint,print=none,color}{}%
 631 %
 632 \newcommand*{\drawGmshinc}[4][]{%
 633   % #1 : optionnal arguments
 634   % #2 : the string containing the gmsh file
 635   % #3 : the code to place before the generated one
 636   % #4 : the code to place after the generated one
 637   \setkeys{drawGmshInc}{#1} %
 638   \def\MeshPoint{\luameshvaldgi@meshpoint}%
 639   \ifKV@drawGmshInc@tikz% if we are using tikz
 640   \directlua{%
 641     drawGmshTikZinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshvaldgi@print","\luameshvaldgi@scale","\luameshvaldgi@color")%
 642   }%
 643   \else % we are using MP
 644   \mplibcolor{\luameshmpcolor}{\luameshvaldgi@color}%
 645   \directlua{%
 646     drawGmshMPinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshvaldgi@print","\luameshvaldgi@scale")%
 647   }%
 648   %
 649   \fi%
 650 }%
 651 %
 652 %%%%%%%%%%%%%%%% the drawGmshBW command
 653 %% the code is complete and we don't have any callbacks
 654 \define@boolkey{drawGmsh}{tikz}[true]{}%
 655 %% the scale
 656 \define@key{drawGmsh}{scale}[1cm]{\def\luameshvaldg@scale{#1}}%
 657 %% print points
 658 \define@choicekey*{drawGmsh}{print}[\val\nr]{none, points}{%
 659   \ifcase\nr\relax%
 660   \def\luameshvaldg@print{none}%
 661   \or%
 662   \def\luameshvaldg@print{points}%
 663   \fi%
 664 }%
 665 %% the name of the point
 666 \define@key{drawGmsh}{meshpoint}[P]{\def\luameshvaldg@meshpoint{#1}}%
 667 %% the name of the color of drawing
 668 \define@key{drawGmsh}{color}[black]{\def\luameshvaldg@color{#1}}%
 669 %
 670 \presetkeys{drawGmsh}{tikz=false,scale, meshpoint,print=none,color}{}%
 671 %
 672 \newcommand{\drawGmsh}[2][]{%
 673   % #1 : optionnal arguments
 674   % #2 : the gmsh file
 675   \setkeys{drawGmsh}{#1} %
 676   \def\MeshPoint{\luameshvaldg@meshpoint}%
 677   \ifKV@drawGmsh@tikz% if we are using tikz
 678   \directlua{%
 679     drawGmshTikZ("#2","\luameshvaldg@print","\luameshvaldg@scale","\luameshvaldg@color")%
 680   }%
 681   \else % we are using MP
 682   \mplibcolor{\luameshmpcolor}{\luameshvaldg@color}%
 683   \directlua{%
 684     drawGmshMP("#2","\luameshvaldg@print","\luameshvaldg@scale")%
 685   }%
 686   %
 687   \fi%
 688 }%
 689 %%%%%%%%%%%%%%%% the gmshVoronoi command
 690 %% the user can write code (tikz or MP)
 691 %% before and after the generated code
 692 \define@boolkey{gmshVoronoiInc}{tikz}[true]{}%
 693 %% the scale
 694 \define@key{gmshVoronoiInc}{scale}[1cm]{\def\luameshval@gvi@scale{#1}}%
 695 %% print ponits ?
 696 \define@choicekey*{gmshVoronoiInc}{print}[\val\nr]{none, points}{%
 697   \ifcase\nr\relax%
 698   \def\luameshval@gvi@print{none}%
 699   \or%
 700   \def\luameshval@gvi@print{points}%
 701   \fi%
 702 }%
 703 %% the name of the point
 704 \define@key{gmshVoronoiInc}{meshpoint}[P]{\def\luameshval@gvi@meshpoint{#1}}%
 705 %% the name of the circum point
 706 \define@key{gmshVoronoiInc}{circumpoint}[P]{\def\luameshval@gvi@circumpoint{#1}}%
 707 %% the mode for reading the points
 708 \define@choicekey*{gmshVoronoiInc}{delaunay}[\val\nr]{none, show}{%
 709   \ifcase\nr\relax%
 710   \def\luameshval@gvi@delaunay{none}%
 711   \or%
 712   \def\luameshval@gvi@delaunay{show}%
 713   \fi%
 714 }%
 715 %% style dashed Delaunay
 716 \define@choicekey*{gmshVoronoiInc}{styleDelaunay}[\val\nr]{none, dashed}{%
 717   \ifcase\nr\relax%
 718   \def\luameshval@gvi@styleDelaunay{none}%
 719   \or%
 720   \def\luameshval@gvi@styleDelaunay{dashed}%
 721   \fi%
 722 }%
 723 %% style dashed Voronoi
 724 \define@choicekey*{gmshVoronoiInc}{styleVoronoi}[\val\nr]{none, dashed}{%
 725   \ifcase\nr\relax%
 726   \def\luameshval@gvi@styleVoronoi{none}%
 727   \or%
 728   \def\luameshval@gvi@styleVoronoi{dashed}%
 729   \fi%
 730 }%
 731 %% the name of the color of drawing
 732 \define@key{gmshVoronoiInc}{color}[black]{\def\luameshval@gvi@color{#1}}%
 733 %% the name of the color of drawing Voronoi
 734 \define@key{gmshVoronoiInc}{colorVoronoi}[red]{\def\luameshval@gvi@colorvoronoi{#1}}%
 735 %
 736 \presetkeys{gmshVoronoiInc}{tikz=false,scale,
 737   meshpoint,circumpoint,print=none,color,colorVoronoi,delaunay=none,styleVoronoi=none, styleDelaunay=none}{}%
 738 %
 739 \newcommand*{\gmshVoronoiinc}[4][]{%
 740   % #1 : optionnal arguments
 741   % #2 : the gmsh file
 742   % #3 : the code to place before the generated one
 743   % #4 : the code to place after the generated one
 744   \setkeys{gmshVoronoiInc}{#1} %
 745   \def\MeshPoint{\luameshval@gvi@meshpoint}%
 746   \def\CircumPoint{\luameshval@gvi@circumpoint}%
 747   \ifKV@gmshVoronoiInc@tikz% if we are using tikz
 748   \directlua{%
 749     gmshVoronoiTikZinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@gvi@print","\luameshval@gvi@scale","\luameshval@gvi@delaunay","\luameshval@gvi@color","\luameshval@gvi@colorvoronoi","\luameshval@gvi@styleDelaunay","\luameshval@gvi@styleVoronoi")%
 750   }%
 751   \else % we are using MP
 752   \mplibcolor{\luameshmpcolor}{\luameshval@gvi@color}%
 753   \mplibcolor{\luameshmpcolorVoronoi}{\luameshval@gvi@colorvoronoi}%
 754   \directlua{%
 755     gmshVoronoiMPinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@gvi@print","\luameshval@gvi@scale","\luameshval@gvi@delaunay","\luameshval@gvi@styleDelaunay","\luameshval@gvi@styleVoronoi")%
 756   }%
 757   %
 758   \fi%
 759 }%
 760 %
 761 %%%%%%%%%%%%%%%% the gmshVoronoiBW command
 762 %% the code is complete and we don't have any callbacks
 763 \define@boolkey{gmshVoronoi}{tikz}[true]{}%
 764 %% the scale
 765 \define@key{gmshVoronoi}{scale}[1cm]{\def\luameshval@gv@scale{#1}}%
 766 %% print points
 767 \define@choicekey*{gmshVoronoi}{print}[\val\nr]{none, points}{%
 768   \ifcase\nr\relax%
 769   \def\luameshval@gv@print{none}%
 770   \or%
 771   \def\luameshval@gv@print{points}%
 772   \fi%
 773 }%
 774 %% the name of the point
 775 \define@key{gmshVoronoi}{meshpoint}[P]{\def\luameshval@gv@meshpoint{#1}}%
 776 %% the name of the circum point
 777 \define@key{gmshVoronoi}{circumpoint}[P]{\def\luameshval@gv@circumpoint{#1}}%
 778 %% the mode for reading the points
 779 \define@choicekey*{gmshVoronoi}{delaunay}[\val\nr]{none, show}{%
 780   \ifcase\nr\relax%
 781   \def\luameshval@gv@delaunay{none}%
 782   \or%
 783   \def\luameshval@gv@delaunay{show}%
 784   \fi%
 785 }%
 786 %% style dashed Delaunay
 787 \define@choicekey*{gmshVoronoi}{styleDelaunay}[\val\nr]{none, dashed}{%
 788   \ifcase\nr\relax%
 789   \def\luameshval@gv@styleDelaunay{none}%
 790   \or%
 791   \def\luameshval@gv@styleDelaunay{dashed}%
 792   \fi%
 793 }%
 794 %% style dashed Voronoi
 795 \define@choicekey*{gmshVoronoi}{styleVoronoi}[\val\nr]{none, dashed}{%
 796   \ifcase\nr\relax%
 797   \def\luameshval@gv@styleVoronoi{none}%
 798   \or%
 799   \def\luameshval@gv@styleVoronoi{dashed}%
 800   \fi%
 801 }%
 802 %% the name of the color of drawing
 803 \define@key{gmshVoronoi}{color}[black]{\def\luameshval@gv@color{#1}}%
 804 %% the name of the color of drawing Voronoi
 805 \define@key{gmshVoronoi}{colorVoronoi}[red]{\def\luameshval@gv@colorVoronoi{#1}}%
 806 %
 807 \presetkeys{gmshVoronoi}{tikz=false,scale, meshpoint,circumpoint,print=none,color,colorVoronoi,delaunay=none,styleVoronoi=none, styleDelaunay=none}{}%
 808 %
 809 \newcommand{\gmshVoronoi}[2][]{%
 810   % #1 : optionnal arguments
 811   % #2 : the gmsh file
 812   \setkeys{gmshVoronoi}{#1} %
 813   \def\MeshPoint{\luameshval@gv@meshpoint}%
 814   \def\CircumPoint{\luameshval@gv@circumpoint}%
 815   \ifKV@gmshVoronoi@tikz% if we are using tikz
 816   \directlua{%
 817     gmshVoronoiTikZ("#2","\luameshval@gv@print","\luameshval@gv@scale","\luameshval@gv@delaunay","\luameshval@gv@color","\luameshval@gv@colorVoronoi","\luameshval@gv@styleDelaunay","\luameshval@gv@styleVoronoi")%
 818   }%
 819   \else % we are using MP
 820   \mplibcolor{\luameshmpcolor}{\luameshval@gv@color}%
 821   \mplibcolor{\luameshmpcolorVoronoi}{\luameshval@gv@colorVoronoi}%
 822   \directlua{%
 823     gmshVoronoiMP("#2","\luameshval@gv@print","\luameshval@gv@scale","\luameshval@gv@delaunay","\luameshval@gv@styleDelaunay","\luameshval@gv@styleVoronoi")%
 824   }%
 825   %
 826   \fi%
 827 }%
 828 %
 829 %
 830 %
 831 %%%%%%%%%%%%%%%% the meshPolygon command
 832 %%
 833 \define@boolkey{meshPolygon}{tikz}[true]{}%
 834
 835 %% the scale
 836 \define@key{meshPolygon}{scale}[1cm]{\def\luameshval@mp@scale{#1}}%
 837 %% print points
 838 \define@choicekey*{meshPolygon}{print}[\val\nr]{none, points,dotpoints}{%
 839   \ifcase\nr\relax%
 840   \def\luameshval@mp@print{none}%
 841   \or%
 842   \def\luameshval@mp@print{points}%
 843   \or%
 844   \def\luameshval@mp@print{dotpoints}%
 845   \fi%
 846 }%
 847 %% the name of the point
 848 \define@key{meshPolygon}{meshpoint}[P]{\def\luameshval@mp@meshpoint{#1}}%
 849 %% the grid parameter
 850 \define@key{meshPolygon}{h}[0.2]{\def\luameshval@mp@h{#1}}%
 851 %% the mode for reading the points
 852 \define@choicekey*{meshPolygon}{mode}[\val\nr]{int, ext}{%
 853   \ifcase\nr\relax%
 854   \def\luameshval@mp@mode{int}%
 855   \or%
 856   \def\luameshval@mp@mode{ext}%
 857   \fi%
 858 }%
 859 %% the mode for the generation of gridpoints
 860 \define@choicekey*{meshPolygon}{gridpoints}[\val\nr]{rect, perturb}{%
 861   \ifcase\nr\relax%
 862   \def\luameshval@mp@gridpoints{rect}%
 863   \or%
 864   \def\luameshval@mp@gridpoints{perturb}%
 865   \fi%
 866 }%
 867 %% the different steps of the  meshing
 868 \define@choicekey*{meshPolygon}{step}[\val\nr]{polygon, grid, points, mesh}{%
 869   \ifcase\nr\relax%
 870   \def\luameshval@mp@step{polygon}%
 871   \or%
 872   \def\luameshval@mp@step{grid}%
 873   \or%
 874   \def\luameshval@mp@step{points}%
 875   \or%
 876   \def\luameshval@mp@step{mesh}%
 877   \fi%
 878 }%
 879
 880 %% the name of the color of drawing
 881 \define@key{meshPolygon}{color}[black]{\def\luameshval@mp@color{#1}}%
 882 %% the name of the color of drawing Voronoi
 883 \define@key{meshPolygon}{colorPolygon}[red]{\def\luameshval@mp@colorPolygon{#1}}%
 884 %% the name of the color of drawing the bbox
 885 %
 886 \presetkeys{meshPolygon}{tikz=false,scale,mode=int,step=mesh,print=none,color,colorPolygon,h,meshpoint,gridpoints=rect}{}%
 887 %
 888 \newcommand{\meshPolygon}[2][]{%
 889   % #1 : optionnal arguments
 890   % #2 : the string containing the list of points
 891   % (x1,y1);(x2,y2);... or the name file containing the points
 892   \setkeys{meshPolygon}{#1} %
 893   \def\MeshPoint{\luameshval@mp@meshpoint}%
 894   \ifKV@meshPolygon@tikz% if we are using tikz
 895   \directlua{%
 896     drawMeshPolygonTikZ("#2","\luameshval@mp@mode","\luameshval@mp@h","\luameshval@mp@step","\luameshval@mp@print","\luameshval@mp@scale","\luameshval@mp@color","\luameshval@mp@colorPolygon","\luameshval@mp@gridpoints")%
 897   }%
 898   \else % we are using MP
 899   \mplibcolor{\luameshmpcolor}{\luameshval@mp@color}%
 900   \mplibcolor{\luameshmpcolorPoly}{\luameshval@mp@colorPolygon}%
 901   \directlua{%
 902     drawMeshPolygonMP("#2","\luameshval@mp@mode","\luameshval@mp@h","\luameshval@mp@step","\luameshval@mp@print","\luameshval@mp@scale","\luameshval@mp@gridpoints")%
 903   }%
 904   %
 905   \fi%
 906 }%
 907 %%%%%%%%%%%%%%%% the meshPolygonInc command
 908 %%
 909 \define@boolkey{meshPolygonInc}{tikz}[true]{}%
 910
 911 %% the scale
 912 \define@key{meshPolygonInc}{scale}[1cm]{\def\luameshval@mpi@scale{#1}}%
 913 %% print points
 914 \define@choicekey*{meshPolygonInc}{print}[\val\nr]{none, points,dotpoints}{%
 915   \ifcase\nr\relax%
 916   \def\luameshval@mpi@print{none}%
 917   \or%
 918   \def\luameshval@mpi@print{points}%
 919   \or%
 920   \def\luameshval@mpi@print{dotpoints}%
 921   \fi%
 922 }%
 923 %% the mode for the generation of gridpoints
 924 \define@choicekey*{meshPolygonInc}{gridpoints}[\val\nr]{rect, perturb}{%
 925   \ifcase\nr\relax%
 926   \def\luameshval@mpi@gridpoints{rect}%
 927   \or%
 928   \def\luameshval@mpi@gridpoints{perturb}%
 929   \fi%
 930 }%
 931 %% the name of the point
 932 \define@key{meshPolygonInc}{meshpoint}[P]{\def\luameshval@mpi@meshpoint{#1}}%
 933 %% the grid parameter
 934 \define@key{meshPolygonInc}{h}[0.2]{\def\luameshval@mpi@h{#1}}%
 935 %% the mode for reading the points
 936 \define@choicekey*{meshPolygonInc}{mode}[\val\nr]{int, ext}{%
 937   \ifcase\nr\relax%
 938   \def\luameshval@mpi@mode{int}%
 939   \or%
 940   \def\luameshval@mpi@mode{ext}%
 941   \fi%
 942 }%
 943 %% the different steps of the  meshing
 944 \define@choicekey*{meshPolygonInc}{step}[\val\nr]{polygon, grid, points, mesh}{%
 945   \ifcase\nr\relax%
 946   \def\luameshval@mpi@step{polygon}%
 947   \or%
 948   \def\luameshval@mpi@step{grid}%
 949   \or%
 950   \def\luameshval@mpi@step{points}%
 951   \or%
 952   \def\luameshval@mpi@step{mesh}%
 953   \fi%
 954 }%
 955
 956 %% the name of the color of drawing
 957 \define@key{meshPolygonInc}{color}[black]{\def\luameshval@mpi@color{#1}}%
 958 %% the name of the color of drawing Voronoi
 959 \define@key{meshPolygonInc}{colorPolygon}[red]{\def\luameshval@mpi@colorPolygon{#1}}%
 960 %% the name of the color of drawing the bbox
 961 %
 962 \presetkeys{meshPolygonInc}{tikz=false,scale,mode=int,step=mesh,print=none,color,colorPolygon,h,meshpoint,gridpoints=rect}{}%
 963 %
 964 \newcommand{\meshPolygonInc}[4][]{%
 965   % #1 : optionnal arguments
 966   % #2 : the string containing the list of points
 967   % (x1,y1);(x2,y2);... or the name file containing the points
 968   % #3 : the code to place before the generated one
 969   % #4 : the code to place after the generated one
 970   \setkeys{meshPolygonInc}{#1} %
 971   \def\MeshPoint{\luameshval@mpi@meshpoint}%
 972   \ifKV@meshPolygonInc@tikz% if we are using tikz
 973   \directlua{%
 974     drawMeshPolygonTikZinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@mpi@mode","\luameshval@mpi@h","\luameshval@mpi@step","\luameshval@mpi@print","\luameshval@mpi@scale","\luameshval@mpi@color","\luameshval@mpi@colorPolygon","\luameshval@mpi@gridpoints")%
 975   }%
 976   \else % we are using MP
 977   \mplibcolor{\luameshmpcolor}{\luameshval@mpi@color}%
 978   \mplibcolor{\luameshmpcolorPoly}{\luameshval@mpi@colorPolygon}%
 979   \directlua{%
 980     drawMeshPolygonMPinc("#2","\luaescapestring{\unexpanded{#3}}","\luaescapestring{\unexpanded{#4}}","\luameshval@mpi@mode","\luameshval@mpi@h","\luameshval@mpi@step","\luameshval@mpi@print","\luameshval@mpi@scale","\luameshval@mpi@gridpoints")%
 981   }%
 982   %
 983   \fi%
 984 }%