X-Git-Url: https://melusine.eu.org/syracuse/G/git/?p=delaunay.git;a=blobdiff_plain;f=luamesh-tex.lua;fp=luamesh-tex.lua;h=f3c06ab611621ed6d421a0e75b133d26c4002cd4;hp=0000000000000000000000000000000000000000;hb=7bc85345ad42b4b24478accec113804862650422;hpb=ced8983945e47999e128a468ee3cf2218a6288d8 diff --git a/luamesh-tex.lua b/luamesh-tex.lua new file mode 100644 index 0000000..f3c06ab --- /dev/null +++ b/luamesh-tex.lua @@ -0,0 +1,790 @@ +-- trace Voronoi with MP +function traceVoronoiMP(listPoints, triangulation,listVoronoi, points, tri,styleD,styleV) + if(styleD == "dashed") then + sDelaunay = "dashed evenly" + else + sDelaunay = "" + end + if(styleV == "dashed") then + sVoronoi = "dashed evenly" + else + sVoronoi = "" + end + listCircumC = listCircumCenter(listPoints,triangulation) + output = ""; + output = output .. " pair MeshPoints[];" + for i=1,#listPoints do + output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;" + end + output = output .. " pair CircumCenters[];" + for i=1,#listCircumC do + output = output .. "CircumCenters[".. i .. "] = (" .. listCircumC[i].x .. "," .. listCircumC[i].y .. ")*u;" + end + if(tri=="show") then + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle "..sDelaunay.." withcolor \\luameshmpcolorBbox;" + else + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle "..sDelaunay.." withcolor \\luameshmpcolor;" + end + end + end + for i=1,#listVoronoi do + PointI = listCircumC[listVoronoi[i][1]] + PointJ = listCircumC[listVoronoi[i][2]] + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u "..sVoronoi.." withcolor \\luameshmpcolorVoronoi;" + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{"..j.."}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + for i=1,#listCircumC do + output = output .. "dotlabel.llft (btex $\\CircumPoint_{" .. i .. "}$ etex, (" .. listCircumC[i].x ..",".. listCircumC[i].y .. ")*u ) withcolor \\luameshmpcolorVoronoi ;" + end + else + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u withcolor \\luameshmpcolorBbox withpen pencircle scaled 3;" + j=j+1 + else + output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u withcolor \\luameshmpcolor withpen pencircle scaled 3;" + end + end + for i=1,#listCircumC do + output = output .. "drawdot (" .. listCircumC[i].x ..",".. listCircumC[i].y .. ")*u withcolor \\luameshmpcolorVoronoi withpen pencircle scaled 3;" + end + end + + return output +end + + +-- trace Voronoi with TikZ +function traceVoronoiTikZ(listPoints, triangulation,listVoronoi, points, tri,color,colorBbox,colorVoronoi,styleD,styleV) + if(styleD == "dashed") then + sDelaunay = ",dashed" + else + sDelaunay = "" + end + if(styleV == "dashed") then + sVoronoi = ",dashed" + else + sVoronoi = "" + end + listCircumC = listCircumCenter(listPoints,triangulation) + output = "" + for i=1,#listPoints do + output = output .. "\\coordinate (MeshPoints".. i .. ") at (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");" + end + for i=1,#listCircumC do + output = output .. "\\coordinate (CircumPoints".. i .. ") at (" .. listCircumC[i].x .. "," .. listCircumC[i].y .. ");" + end + if(tri=="show") then + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox..sDelaunay.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + else + output = output .. "\\draw[color="..color..sDelaunay.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + end + end + for i=1,#listVoronoi do + PointI = listCircumC[listVoronoi[i][1]] + PointJ = listCircumC[listVoronoi[i][2]] + output = output .. "\\draw[color="..colorVoronoi..sVoronoi.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..");" + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j=j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + for i=1,#listCircumC do + output = output .. "\\draw[color="..colorVoronoi.."] (" .. listCircumC[i].x ..",".. listCircumC[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\CircumPoint_{" .. i .. "}$};" + end + else + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} ;" + j=j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} ;" + end + end + for i=1,#listCircumC do + output = output .. "\\draw[color="..colorVoronoi.."] (" .. listCircumC[i].x ..",".. listCircumC[i].y .. ") node {$\\bullet$};" + end + end + return output +end + + + +-- buildVoronoi with MP +function buildVoronoiMPBW(chaine,mode,points,bbox,scale,tri,styleD,styleV) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri,styleD,styleV) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}" + tex.sprint(output) +end + + +-- buildVoronoi with TikZ +function buildVoronoiTikZBW(chaine,mode,points,bbox,scale,tri,color,colorBbox,colorVoronoi,styleD,styleV) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi,styleD,styleV) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}" tex.sprint(output) +end + + +-- buildVoronoi with MP +function buildVoronoiMPBWinc(chaine,beginning, ending,mode,points,bbox,scale,tri,styleD,styleV) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri,styleD,styleV) + output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + + +-- buildVoronoi with TikZ +function buildVoronoiTikZBWinc(chaine,beginning, ending,mode,points,bbox,scale,tri,color,colorBbox,colorVoronoi) + listPoints = buildList(chaine, mode,styleD,styleV) + triangulation = BowyerWatson(listPoints,bbox) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi,styleD,styleV) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}" + tex.sprint(output) +end + + + +-- trace a triangulation with TikZ +function traceMeshTikZ(listPoints, triangulation,points,color,colorBbox) + output = "" + for i=1,#listPoints do + output = output .. "\\coordinate (MeshPoints".. i .. ") at (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");" + end + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + else + output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j=j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + end + return output +end + + +-- trace a triangulation with MP +function traceMeshMP(listPoints, triangulation,points) + output = ""; + output = output .. " pair MeshPoints[];" + for i=1,#listPoints do + output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;" + end + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolorBbox;" + else + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolor;" + end + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{"..j.."}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + end + return output +end + + +-- buildMesh with MP +function buildMeshMPBW(chaine,mode,points,bbox,scale) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + output = traceMeshMP(listPoints, triangulation,points) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}" + tex.sprint(output) +end + +-- buildMesh with MP include code +function buildMeshMPBWinc(chaine,beginning, ending,mode,points,bbox,scale) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + output = traceMeshMP(listPoints, triangulation,points) + output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + +-- buildMesh with TikZ +function buildMeshTikZBW(chaine,mode,points,bbox,scale,color,colorBbox) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + output = traceMeshTikZ(listPoints, triangulation,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}" + tex.sprint(output) +end + +-- buildMesh with TikZ +function buildMeshTikZBWinc(chaine,beginning, ending,mode,points,bbox,scale,color,colorBbox) + listPoints = buildList(chaine, mode) + triangulation = BowyerWatson(listPoints,bbox) + output = traceMeshTikZ(listPoints, triangulation,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}" + tex.sprint(output) +end + + +-- print points of the mesh +function tracePointsMP(listPoints,points) + output = ""; + output = output .. " pair MeshPoints[];" + for i=1,#listPoints do + output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;" + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{" .. j .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + else + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u withcolor \\luameshmpcolorBbox withpen pencircle scaled 3;" + else + output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u withcolor \\luameshmpcolor withpen pencircle scaled 3;" + end + end + end + return output +end + +-- print points of the mesh +function tracePointsTikZ(listPoints,points,color,colorBbox) + output = ""; + for i=1,#listPoints do + output = output .. "\\coordinate (MeshPoints".. i .. ") at (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");" + end + if(points=="points") then + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j = j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + else + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} ;" + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} ;" + end + end + end + return output +end + +-- print points to mesh +function printPointsMP(chaine,mode,points,bbox,scale) + listPoints = buildList(chaine, mode) + if(bbox == "bbox" ) then + listPoints = buildBoundingBox(listPoints) + end + output = tracePointsMP(listPoints,points) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}" + tex.sprint(output) +end + + +-- print points to mesh +function printPointsMPinc(chaine,beginning, ending, mode,points,bbox,scale) + listPoints = buildList(chaine, mode) + if(bbox == "bbox" ) then + listPoints = buildBoundingBox(listPoints) + end + output = tracePointsMP(listPoints,points) + output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + +-- print points to mesh +function printPointsTikZ(chaine,mode,points,bbox,scale,color,colorBbox) + listPoints = buildList(chaine, mode) + if(bbox == "bbox" ) then + listPoints = buildBoundingBox(listPoints) + end + output = tracePointsTikZ(listPoints,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}" + tex.sprint(output) +end + + +-- print points to mesh +function printPointsTikZinc(chaine,beginning, ending, mode,points,bbox,scale,color,colorBbox) + listPoints = buildList(chaine, mode) + if(bbox == "bbox" ) then + listPoints = buildBoundingBox(listPoints) + end + output = tracePointsTikZ(listPoints,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}" + tex.sprint(output) +end + + +-- buildMesh +function buildRect(largeur,a,b,nbrA, nbrB) + listPoints = rectangleList(a,b,nbrA,nbrB) + triangulation = BowyerWatson(listPoints,"none") + traceTikZ(listPoints, triangulation,largeur,"none") +end + + +-- +function TeXaddOnePointTikZ(listPoints,P,step,bbox,color,colorBack, colorNew, colorCircle,colorBbox) + output = "" + -- build the triangulation + triangulation = BowyerWatson(listPoints,bbox) + badTriangles = buildBadTriangles(P,triangulation) + for i=1,#listPoints do + output = output .. "\\coordinate (MeshPoints".. i .. ") at (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");" + end + if(step == "badT") then + -- draw all triangle + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + else + output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + end + -- draw and fill the bad triangle + for i=1,#badTriangles do + PointI = listPoints[triangulation[badTriangles[i]][1]] + PointJ = listPoints[triangulation[badTriangles[i]][2]] + PointK = listPoints[triangulation[badTriangles[i]][3]] + output = output .. "\\draw[fill="..colorBack.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + -- draw the circoncircle + for i=1,#badTriangles do + PointI = listPoints[triangulation[badTriangles[i]][1]] + PointJ = listPoints[triangulation[badTriangles[i]][2]] + PointK = listPoints[triangulation[badTriangles[i]][3]] + center, radius = circoncircle(PointI, PointJ, PointK) + output = output .. "\\draw[dashed, color="..colorCircle.."] ("..center.x .. "," .. center.y .. ") circle ("..radius ..");" + end + -- mark the points + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j = j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + -- mark the point to add + output = output .. "\\draw[color="..colorNew.."] (" .. P.x ..",".. P.y .. ") node {$\\bullet$} node[anchor=north east] {$\\NewPoint$};" + elseif(step == "cavity") then + polygon = buildCavity(badTriangles, triangulation) + polyNew = cleanPoly(polygon) + -- remove the bad triangles + for j=1,#badTriangles do + table.remove(triangulation,badTriangles[j]-(j-1)) + end + -- draw the triangles + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + else + output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + end + -- fill and draw the cavity + path = "" + for i=1,#polyNew do + PointI = listPoints[polyNew[i]] + path = path .. "(".. PointI.x ..",".. PointI.y ..")--" + end + output = output .. "\\draw[color="..colorNew..",fill ="..colorBack..", thick] " .. path .. "cycle;" + -- mark the points of the mesh + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j=j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + -- mark the adding point + output = output .. "\\draw[color="..colorNew.."] (" .. P.x ..",".. P.y .. ") node {$\\bullet$} node[anchor=north east] {$\\NewPoint$};" + elseif(step == "newT") then + polygon = buildCavity(badTriangles, triangulation) + polyNew = cleanPoly(polygon) + -- remove the bad triangles + for j=1,#badTriangles do + table.remove(triangulation,badTriangles[j]-(j-1)) + end + -- draw the triangle of the triangulation + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + else + output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;" + end + end + -- fill and draw the cavity + path = "" + for i=1,#polyNew do + PointI = listPoints[polyNew[i]] + path = path .. "(".. PointI.x ..",".. PointI.y ..")--" + end + output = output .. "\\draw[color="..colorNew..",fill ="..colorBack..", thick] " .. path .. "cycle;" + -- draw the new triangles composed by the edges of the polygon and the added point + for i=1,#polygon do + output = output .. "\\draw[color=TeXCluaMeshNewTikZ, thick]".."(".. listPoints[polygon[i][1]].x .. "," .. listPoints[polygon[i][1]].y .. ") -- (" .. listPoints[polygon[i][2]].x .. "," .. listPoints[polygon[i][2]].y ..");" + output = output .. "\\draw[color="..colorNew..", thick]".."(".. listPoints[polygon[i][1]].x .. "," .. listPoints[polygon[i][1]].y .. ") -- (" .. P.x .. "," .. P.y ..");" + output = output .. "\\draw[color="..colorNew..", thick]".."(".. listPoints[polygon[i][2]].x .. "," .. listPoints[polygon[i][2]].y .. ") -- (" .. P.x .. "," .. P.y ..");" + end + -- mark points + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "\\draw[color="..colorBbox.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint^*_{" .. j .. "}$};" + j=j+1 + else + output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};" + end + end + -- mark the added point + output = output .. "\\draw[color="..colorNew.."] (" .. P.x ..",".. P.y .. ") node {$\\bullet$} node[anchor=north east] {$\\NewPoint$};" + end + return output +end + +function TeXaddOnePointMPBW(listPoints,P,step,bbox) + output = ""; + output = output .. "pair MeshPoints[];" + -- build the triangulation + triangulation = BowyerWatson(listPoints,bbox) + badTriangles = buildBadTriangles(P,triangulation) + for i=1,#listPoints do + output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;" + end + if(step == "badT") then + -- draw all triangle + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolorBbox;" + else + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolor;" + end + end + -- draw and fill the bad triangle + for i=1,#badTriangles do + PointI = listPoints[triangulation[badTriangles[i]][1]] + PointJ = listPoints[triangulation[badTriangles[i]][2]] + PointK = listPoints[triangulation[badTriangles[i]][3]] + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolor;" + output = output .. "fill (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolorBack;" + end + -- draw the circoncircle + for i=1,#badTriangles do + PointI = listPoints[triangulation[badTriangles[i]][1]] + PointJ = listPoints[triangulation[badTriangles[i]][2]] + PointK = listPoints[triangulation[badTriangles[i]][3]] + center, radius = circoncircle(PointI, PointJ, PointK) + output = output .. "draw fullcircle scaled ("..radius .."*2u) shifted ("..center.x .. "*u," .. center.y .. "*u) dashed evenly withcolor \\luameshmpcolorCircle;" + end + -- mark the points + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{" .. j .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + -- mark the point to add + output = output .. "dotlabel.llft (btex $\\NewPoint$ etex,(" .. P.x ..",".. P.y .. ")*u) withcolor \\luameshmpcolorNew;" + elseif(step == "cavity") then + polygon = buildCavity(badTriangles, triangulation) + polyNew = cleanPoly(polygon) + -- remove the bad triangles + for j=1,#badTriangles do + table.remove(triangulation,badTriangles[j]-(j-1)) + end + -- draw the triangles + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolorBbox;" + else + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolor;" + end + end + -- fill and draw the cavity + path = "" + for i=1,#polyNew do + PointI = listPoints[polyNew[i]] + path = path .. "(".. PointI.x ..",".. PointI.y ..")*u--" + end + output = output .. "fill " .. path .. "cycle withcolor \\luameshmpcolorBack;" + output = output .. "draw " .. path .. "cycle withcolor \\luameshmpcolorNew withpen pencircle scaled 1pt;" + -- mark the points of the mesh + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{" .. j .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + -- mark the adding point + output = output .. "dotlabel.llft (btex $\\NewPoint$ etex,(" .. P.x ..",".. P.y .. ")*u) withcolor \\luameshmpcolorNew ;" + elseif(step == "newT") then + polygon = buildCavity(badTriangles, triangulation) + polyNew = cleanPoly(polygon) + -- remove the bad triangles + for j=1,#badTriangles do + table.remove(triangulation,badTriangles[j]-(j-1)) + end + -- draw the triangle of the triangulation + for i=1,#triangulation do + PointI = listPoints[triangulation[i][1]] + PointJ = listPoints[triangulation[i][2]] + PointK = listPoints[triangulation[i][3]] + if(triangulation[i].type == "bbox") then + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolorBbox;" + else + output = output .. "draw (".. PointI.x ..",".. PointI.y ..")*u--("..PointJ.x..",".. PointJ.y ..")*u--("..PointK.x..",".. PointK.y ..")*u--cycle withcolor \\luameshmpcolor;" + end + end + -- fill the cavity + path = "" + for i=1,#polyNew do + PointI = listPoints[polyNew[i]] + path = path .. "(".. PointI.x ..",".. PointI.y ..")*u--" + end + output = output .. "fill " .. path .. "cycle withcolor \\luameshmpcolorBack;" + -- draw the new triangles composed by the edges of the polygon and the added point + for i=1,#polygon do + output = output .. "draw".."(".. listPoints[polygon[i][1]].x .. "," .. listPoints[polygon[i][1]].y .. ")*u -- (" .. listPoints[polygon[i][2]].x .. "," .. listPoints[polygon[i][2]].y ..")*u withcolor \\luameshmpcolorNew withpen pencircle scaled 1pt;" + output = output .. "draw".."(".. listPoints[polygon[i][1]].x .. "," .. listPoints[polygon[i][1]].y .. ")*u -- (" .. P.x .. "," .. P.y ..")*u withcolor \\luameshmpcolorNew withpen pencircle scaled 1pt;" + output = output .. "draw".."(".. listPoints[polygon[i][2]].x .. "," .. listPoints[polygon[i][2]].y .. ")*u -- (" .. P.x .. "," .. P.y ..")*u withcolor \\luameshmpcolorNew withpen pencircle scaled 1pt;" + end + -- mark points + j=1 + for i=1,#listPoints do + if(listPoints[i].type == "bbox") then + output = output .. "dotlabel.llft (btex $\\MeshPoint^{*}_{" .. j .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;" + j=j+1 + else + output = output .. "dotlabel.llft (btex $\\MeshPoint_{" .. i .. "}$ etex, (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolor ;" + end + end + -- mark the added point + output = output .. "dotlabel.llft (btex $\\NewPoint$ etex,(" .. P.x ..",".. P.y .. ")*u) withcolor \\luameshmpcolorNew ;" + end + return output +end + + +function TeXOnePointTikZBW(chaine,point,step,scale,mode,bbox,color,colorBack,colorNew,colorCircle,colorBbox) + if(mode=="int") then + Sx,Sy=string.match(point,"%((.+),(.+)%)") + P = {x=Sx, y=Sy} + listPoints = buildList(chaine, mode) + else + -- point is a number + P, listPoints = buildListExt(chaine,tonumber(point)) + end + output = TeXaddOnePointTikZ(listPoints,P,step,bbox,color,colorBack,colorNew,colorCircle,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x="..scale..",y="..scale.."]".. output .. "\\end{tikzpicture}" + tex.sprint(output) +end + +function TeXOnePointTikZBWinc(chaine,point,beginning, ending,step,scale,mode,bbox,color,colorBack,colorNew,colorCircle,colorBbox) + if(mode=="int") then + Sx,Sy=string.match(point,"%((.+),(.+)%)") + P = {x=Sx, y=Sy} + listPoints = buildList(chaine, mode) + else + -- point is a number + P, listPoints = buildListExt(chaine,tonumber(point)) + end + output = TeXaddOnePointTikZ(listPoints,P,step,bbox,color,colorBack,colorNew,colorCircle,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x="..scale..",y="..scale.."]".. beginning..output ..ending.. "\\end{tikzpicture}" + tex.sprint(output) +end + +function TeXOnePointMPBW(chaine,point,step,scale,mode,bbox) + if(mode=="int") then + Sx,Sy=string.match(point,"%((.+),(.+)%)") + P = {x=Sx, y=Sy} + listPoints = buildList(chaine, mode) + else + -- point is a number + P, listPoints = buildListExt(chaine,tonumber(point)) + end + output = TeXaddOnePointMPBW(listPoints,P,step,bbox) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale..";".. output .. "endfig;\\end{mplibcode}" + tex.sprint(output) +end + +function TeXOnePointMPBWinc(chaine,point,beginning,ending,step,scale,mode,bbox) + if(mode=="int") then + Sx,Sy=string.match(point,"%((.+),(.+)%)") + P = {x=Sx, y=Sy} + listPoints = buildList(chaine, mode) + else + -- point is a number + P, listPoints = buildListExt(chaine,tonumber(point)) + end + output = TeXaddOnePointMPBW(listPoints,P,step,bbox) + output = "\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + + +function drawGmshMP(file,points,scale) + listPoints,triangulation = readGmsh(file) + output = traceMeshMP(listPoints,triangulation,points) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}" + tex.sprint(output) +end + +function drawGmshMPinc(file,beginning,ending,points,scale) + listPoints,triangulation = readGmsh(file) + output = traceMeshMP(listPoints,triangulation,points) + output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + + + +-- +function drawGmshTikZ(file,points,scale,color) + listPoints,triangulation = readGmsh(file) + output = traceMeshTikZ(listPoints, triangulation,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}" + tex.sprint(output) +end + +-- +function drawGmshTikZinc(file,beginning, ending,points,scale,color) + listPoints,triangulation = readGmsh(file) + output = traceMeshTikZ(listPoints, triangulation,points,color,colorBbox) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}" + tex.sprint(output) +end + + +-- buildVoronoi with MP +function gmshVoronoiMP(file,points,scale,tri,styleD,styleV) + listPoints,triangulation = readGmsh(file) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri,styleD,styleV) + output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}" + tex.sprint(output) +end + + +-- buildVoronoi with TikZ +function gmshVoronoiTikZ(file,points,scale,tri,color,colorVoronoi,styleD,styleV) + listPoints,triangulation = readGmsh(file) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi,styleD,styleV) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}" tex.sprint(output) +end + + +-- buildVoronoi with MP +function gmshVoronoiMPinc(file,beginning, ending,points,scale,tri,styleD,styleV) + listPoints,triangulation = readGmsh(file) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri,styleD,styleV) + output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}" + tex.sprint(output) +end + + +-- buildVoronoi with TikZ +function gmshVoronoiTikZinc(file,beginning, ending,points,scale,tri,color,colorVoronoi,styleD,styleV) + listPoints,triangulation = readGmsh(file) + listVoronoi = buildVoronoi(listPoints, triangulation) + output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi,styleD,styleV) + output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}" + tex.sprint(output) +end