return Out, rad -- (center [Point], R [float])
end
+-- compute the list of the circumcircle of a triangulation
+function listCircumCenter(listPoints,triangulation)
+ list = {}
+ for j=1,#triangulation do
+ A = listPoints[triangulation[j][1]]
+ B = listPoints[triangulation[j][2]]
+ C = listPoints[triangulation[j][3]]
+ center, radius = circoncircle(A,B,C)
+ table.insert(list,{x=center.x,y=center.y,r=radius})
+ end
+ return list
+end
+
+-- find the three neighbour triangles of T
+function findNeighbour(T,i,triangulation)
+ -- T : triangle
+ -- i : index of T in triangualation
+ -- triangulation
+
+ list = {}
+ -- define the three edge
+ e1 = {T[1],T[2]}
+ e2 = {T[2],T[3]}
+ e3 = {T[3],T[1]}
+ for j=1,#triangulation do
+ if j~= i then
+ if(edgeInTriangle(e1,triangulation[j])) then
+ table.insert(list,j)
+ end
+ if(edgeInTriangle(e2,triangulation[j])) then
+ table.insert(list,j)
+ end
+ if(edgeInTriangle(e3,triangulation[j])) then
+ table.insert(list,j)
+ end
+ end
+ end
+ return list
+end
+
+-- test if edge are the same (reverse)
+function equalEdge(e1,e2)
+ if(((e1[1] == e2[1]) and (e1[2] == e2[2])) or ((e1[1] == e2[2]) and (e1[2] == e2[1]))) then
+ return true
+ else
+ return false
+ end
+end
+
+-- test if the edge belongs to the list
+function edgeInList(e,listE)
+ output = false
+ for i=1,#listE do
+ if(equalEdge(e,listE[i])) then
+ output = true
+ end
+ end
+ return output
+end
+
+-- build the edges of the Voronoi diagram with a given triangulation
+function buildVoronoi(listPoints, triangulation)
+ listCircumCircle = listCircumCenter(listPoints, triangulation)
+ listVoronoi = {}
+ for i=1,#listCircumCircle do
+ listN = findNeighbour(triangulation[i],i,triangulation)
+ for j=1,#listN do
+ edge = {i,listN[j]}
+ if( not edgeInList(edge, listVoronoi)) then
+ table.insert(listVoronoi, edge)
+ end
+ end
+ end
+ return listVoronoi
+end
-------------------------- TeX
-- build the list of points
return listPoints
end
+
+-- trace Voronoi with MP
+function traceVoronoiMP(listPoints, triangulation,listVoronoi, points, tri)
+ 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 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
+ 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 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)
+ 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.."] (".. 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
+ end
+ for i=1,#listVoronoi do
+ PointI = listCircumC[listVoronoi[i][1]]
+ PointJ = listCircumC[listVoronoi[i][2]]
+ output = output .. "\\draw[color="..colorVoronoi.."] (".. 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)
+ listPoints = buildList(chaine, mode)
+ triangulation = BowyerWatson(listPoints,bbox)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri)
+ 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)
+ listPoints = buildList(chaine, mode)
+ triangulation = BowyerWatson(listPoints,bbox)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi)
+ 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)
+ listPoints = buildList(chaine, mode)
+ triangulation = BowyerWatson(listPoints,bbox)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri)
+ 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)
+ triangulation = BowyerWatson(listPoints,bbox)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi)
+ 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)
+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]]
- output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;"
+ 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
- output = output .. "\\draw[color=".."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};"
+ 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
output = "";
output = output .. " pair MeshPoints[];"
for i=1,#listPoints do
- output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");"
+ 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]]
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 .. ");"
+ output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;"
end
if(points=="points") then
j=1
else
for i=1,#listPoints do
if(listPoints[i].type == "bbox") then
- output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u ) withcolor \\luameshmpcolorBbox ;"
+ 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 ;"
+ output = output .. "drawdot (" .. listPoints[i].x ..",".. listPoints[i].y .. ")*u withcolor \\luameshmpcolor withpen pencircle scaled 3;"
end
end
end
return output
end
-
-
--- buildMesh with TikZ
-function buildMeshTikZ(chaine,mode,points,bbox,full,scale,color)
- listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
- output = traceMeshTikZ(listPoints, triangulation,points,color)
- if(full=="full") then
- output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}"
+-- 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
- tex.sprint(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)
+ 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
listPoints = buildBoundingBox(listPoints)
end
output = tracePointsMP(listPoints,points)
- output = "\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
+ 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
--- buildMesh with MP include code
-function buildMeshMPBWinc(chaine,beginning, ending,mode,points,bbox,scale)
+
+-- print points to mesh
+function printPointsTikZinc(chaine,beginning, ending, mode,points,bbox,scale,color,colorBbox)
listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
- output = traceMeshMP(listPoints, triangulation,points)
- output = "\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
+ 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)
i=1
find = false
while (i<=#polyCopy and find==false) do
- i = i+1
bool1 = (polyCopy[i][1] == polyNew[j])
bool2 = (polyCopy[i][2] == polyNew[j])
if(bool1 or bool2) then -- the edge has a common point with polyNew[j]
j = j+1
end
end
+ i=i+1
end
end
return polyNew
end
--
-function TeXaddOnePointTikZ(chaine,point,step,color,colorBack, colorNew, colorCircle)
- Sx,Sy=string.match(point,"%((.+),(.+)%)")
- P = {x=Sx, y=Sy}
+function TeXaddOnePointTikZ(listPoints,P,step,bbox,color,colorBack, colorNew, colorCircle,colorBbox)
output = ""
- listPoints = buildList(chaine, "int")
-- build the triangulation
- triangulation = BowyerWatson(listPoints,"none")
+ 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]]
- output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;"
+ 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
output = output .. "\\draw[dashed, color="..colorCircle.."] ("..center.x .. "," .. center.y .. ") circle ("..radius ..");"
end
-- mark the points
+ j=1
for i=1,#listPoints do
- output = output .. "\\draw[color ="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};"
+ 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] {$\\NewPoint$};"
PointI = listPoints[triangulation[i][1]]
PointJ = listPoints[triangulation[i][2]]
PointK = listPoints[triangulation[i][3]]
- output = output .. "\\draw[color="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;"
+ 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 = ""
end
output = output .. "\\draw[color="..colorNew..",fill ="..colorBack..", thick] " .. path .. "cycle;"
-- mark the points of the mesh
+ j=1
for i=1,#listPoints do
- output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};"
+ 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] {$\\NewPoint$};"
PointI = listPoints[triangulation[i][1]]
PointJ = listPoints[triangulation[i][2]]
PointK = listPoints[triangulation[i][3]]
- output = output .. "\\draw[color ="..color.."] (".. PointI.x ..",".. PointI.y ..")--("..PointJ.x..",".. PointJ.y ..")--("..PointK.x..",".. PointK.y ..")--cycle;"
+ 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 = ""
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
- output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};"
+ 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] {$\\NewPoint$};"
triangulation = BowyerWatson(listPoints,bbox)
badTriangles = buildBadTriangles(P,triangulation)
for i=1,#listPoints do
- output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");"
+ output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;"
end
if(step == "badT") then
-- draw all triangle
end
-function TeXOnePointTikZ(chaine,point,step,color,colorBack,colorNew,colorCircle,scale)
- output = TeXaddOnePointTikZ(chaine,point,step,color,colorBack,colorNew,colorCircle)
+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,"%((.+),(.+)%)")
output = "\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
tex.sprint(output)
end
+
+
+function split(pString, pPattern)
+ local Table = {} -- NOTE: use {n = 0} in Lua-5.0
+ local fpat = "(.-)" .. pPattern
+ local last_end = 1
+ local s, e, cap = pString:find(fpat, 1)
+ while s do
+ if s ~= 1 or cap ~= "" then
+ table.insert(Table,cap)
+ end
+ last_end = e+1
+ s, e, cap = pString:find(fpat, last_end)
+ end
+ if last_end <= #pString then
+ cap = pString:sub(last_end)
+ table.insert(Table, cap)
+ end
+ return Table
+end
+
+function readGmsh(file)
+ io.input(file) -- open the file
+ text=io.read("*all")
+ local lines = split(text,"\n+") -- all the lines
+ listPoints={}
+ triangulation ={}
+ boolNodes = false
+ Jnodes = 0
+ boolElements = false
+ Jelements = 0
+ J=0
+ for i=1,#lines-J do
+ if(lines[i+J] == "$EndNodes") then
+ boolNodes = false
+ -- go to the next line
+ end
+ if(boolNodes) then -- we are in the Nodes environment
+ xy=split(lines[i+J]," +")
+ table.insert(listPoints,{x=tonumber(xy[2]),y=tonumber(xy[3])})
+ end
+ if(lines[i+J] == "$Nodes") then
+ boolNodes = true
+ -- go to the next line
+ J=J+1
+ end
+ if(lines[i+J] == "$EndElements") then
+ boolElements = false
+ -- go to the next line
+ end
+ if(boolElements) then -- we are in the Nodes environment
+ xy=split(lines[i+J]," +")
+ if(tonumber(xy[2]) == 2) then -- if the element is a triangle
+ nbrTags = xy[3]+1
+ table.insert(triangulation,{tonumber(xy[2+nbrTags+1]),tonumber(xy[2+nbrTags+2]),tonumber(xy[2+nbrTags+3])})
+ end
+ end
+ if(lines[i+J] == "$Elements") then
+ boolElements = true
+ -- go to the next line
+ J=J+1
+ end
+ end
+ return listPoints, triangulation
+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)
+ listPoints,triangulation = readGmsh(file)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri)
+ 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)
+ listPoints,triangulation = readGmsh(file)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi)
+ 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)
+ listPoints,triangulation = readGmsh(file)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiMP(listPoints,triangulation,listVoronoi,points,tri)
+ 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)
+ listPoints,triangulation = readGmsh(file)
+ listVoronoi = buildVoronoi(listPoints, triangulation)
+ output = traceVoronoiTikZ(listPoints,triangulation,listVoronoi,points,tri,color,colorBbox,colorVoronoi)
+ output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" ..beginning.. output..ending .."\\end{tikzpicture}"
+ tex.sprint(output)
+end
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