-- 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)
+ local listPoints = buildList(chaine, mode)
+ local triangulation = BowyerWatson(listPoints,bbox)
+ local 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)
-- 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)
+ local listPoints = buildList(chaine, mode)
+ local triangulation = BowyerWatson(listPoints,bbox)
+ local 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)
+ local listPoints = buildList(chaine, mode)
+ local triangulation = BowyerWatson(listPoints,bbox)
+ local 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)
-- 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)
+ local listPoints = buildList(chaine, mode,styleD,styleV)
+ local triangulation = BowyerWatson(listPoints,bbox)
+ local 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
end
end
+ if(points=="dotpoints") 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 {$\\bullet$};"
+ j=j+1
+ else
+ output = output .. "\\draw[color="..color.."] (" .. listPoints[i].x ..",".. listPoints[i].y .. ") node {$\\bullet$};"
+ end
+ end
+ end
return output
end
-- buildMesh with MP
function buildMeshMPBW(chaine,mode,points,bbox,scale)
- listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
+ local listPoints = buildList(chaine, mode)
+ local triangulation = BowyerWatson(listPoints,bbox)
output = traceMeshMP(listPoints, triangulation,points)
output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}"
tex.sprint(output)
-- buildMesh with MP include code
function buildMeshMPBWinc(chaine,beginning, ending,mode,points,bbox,scale)
- listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
+ local listPoints = buildList(chaine, mode)
+ local triangulation = BowyerWatson(listPoints,bbox)
output = traceMeshMP(listPoints, triangulation,points)
output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
tex.sprint(output)
-- buildMesh with TikZ
function buildMeshTikZBW(chaine,mode,points,bbox,scale,color,colorBbox)
- listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
+ local listPoints = buildList(chaine, mode)
+ local 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)
-- buildMesh with TikZ
function buildMeshTikZBWinc(chaine,beginning, ending,mode,points,bbox,scale,color,colorBbox)
- listPoints = buildList(chaine, mode)
- triangulation = BowyerWatson(listPoints,bbox)
+ local listPoints = buildList(chaine, mode)
+ local 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)
-- print points to mesh
function printPointsMP(chaine,mode,points,bbox,scale)
- listPoints = buildList(chaine, mode)
+ local listPoints = buildList(chaine, mode)
if(bbox == "bbox" ) then
listPoints = buildBoundingBox(listPoints)
end
-- print points to mesh
function printPointsMPinc(chaine,beginning, ending, mode,points,bbox,scale)
- listPoints = buildList(chaine, mode)
+ local listPoints = buildList(chaine, mode)
if(bbox == "bbox" ) then
listPoints = buildBoundingBox(listPoints)
end
-- print points to mesh
function printPointsTikZ(chaine,mode,points,bbox,scale,color,colorBbox)
- listPoints = buildList(chaine, mode)
+ local listPoints = buildList(chaine, mode)
if(bbox == "bbox" ) then
listPoints = buildBoundingBox(listPoints)
end
-- print points to mesh
function printPointsTikZinc(chaine,beginning, ending, mode,points,bbox,scale,color,colorBbox)
- listPoints = buildList(chaine, mode)
+ local listPoints = buildList(chaine, mode)
if(bbox == "bbox" ) then
listPoints = buildBoundingBox(listPoints)
end
-- buildMesh
function buildRect(largeur,a,b,nbrA, nbrB)
- listPoints = rectangleList(a,b,nbrA,nbrB)
- triangulation = BowyerWatson(listPoints,"none")
+ local listPoints = rectangleList(a,b,nbrA,nbrB)
+ local 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)
+ local triangulation = BowyerWatson(listPoints,bbox)
+ local badTriangles = buildBadTriangles(P,triangulation,listPoints)
for i=1,#listPoints do
output = output .. "\\coordinate (MeshPoints".. i .. ") at (" .. listPoints[i].x .. "," .. listPoints[i].y .. ");"
end
output = "";
output = output .. "pair MeshPoints[];"
-- build the triangulation
+ local triangulation = {}
+ local badTriangles = {}
triangulation = BowyerWatson(listPoints,bbox)
- badTriangles = buildBadTriangles(P,triangulation)
+ badTriangles = buildBadTriangles(P,triangulation,listPoints)
for i=1,#listPoints do
output = output .. "MeshPoints[".. i .. "] = (" .. listPoints[i].x .. "," .. listPoints[i].y .. ")*u;"
end
function TeXOnePointTikZBW(chaine,point,step,scale,mode,bbox,color,colorBack,colorNew,colorCircle,colorBbox)
+ local listPoints = {}
if(mode=="int") then
Sx,Sy=string.match(point,"%((.+),(.+)%)")
P = {x=Sx, y=Sy}
end
function TeXOnePointTikZBWinc(chaine,point,beginning, ending,step,scale,mode,bbox,color,colorBack,colorNew,colorCircle,colorBbox)
+ local listPoints = {}
if(mode=="int") then
Sx,Sy=string.match(point,"%((.+),(.+)%)")
P = {x=Sx, y=Sy}
end
function TeXOnePointMPBW(chaine,point,step,scale,mode,bbox)
+ local listPoints = {}
if(mode=="int") then
Sx,Sy=string.match(point,"%((.+),(.+)%)")
P = {x=Sx, y=Sy}
end
function TeXOnePointMPBWinc(chaine,point,beginning,ending,step,scale,mode,bbox)
+ local listPoints = {}
if(mode=="int") then
Sx,Sy=string.match(point,"%((.+),(.+)%)")
P = {x=Sx, y=Sy}
function drawGmshMP(file,points,scale)
- listPoints,triangulation = readGmsh(file)
+ local 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)
+ local listPoints,triangulation = readGmsh(file)
output = traceMeshMP(listPoints,triangulation,points)
output = "\\leavevmode\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
tex.sprint(output)
--
function drawGmshTikZ(file,points,scale,color)
- listPoints,triangulation = readGmsh(file)
+ local 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)
--
function drawGmshTikZinc(file,beginning, ending,points,scale,color)
- listPoints,triangulation = readGmsh(file)
+ local 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)
-- buildVoronoi with MP
function gmshVoronoiMP(file,points,scale,tri,styleD,styleV)
- listPoints,triangulation = readGmsh(file)
- listVoronoi = buildVoronoi(listPoints, triangulation)
+ local listPoints,triangulation = readGmsh(file)
+ local 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)
-- buildVoronoi with TikZ
function gmshVoronoiTikZ(file,points,scale,tri,color,colorVoronoi,styleD,styleV)
- listPoints,triangulation = readGmsh(file)
- listVoronoi = buildVoronoi(listPoints, triangulation)
+ local listPoints,triangulation = readGmsh(file)
+ local 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)
+ local listPoints,triangulation = readGmsh(file)
+ local 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)
-- buildVoronoi with TikZ
function gmshVoronoiTikZinc(file,beginning, ending,points,scale,tri,color,colorVoronoi,styleD,styleV)
- listPoints,triangulation = readGmsh(file)
- listVoronoi = buildVoronoi(listPoints, triangulation)
+ local listPoints,triangulation = readGmsh(file)
+ local 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)
-- Meshing of a polygon --
--------------------------------------------------
-
-function TeXMeshPolygonMP(polygon,listPoints, grid, step)
-
-end
-
function tracePolygonMP(polygon,points)
output = "";
output = output .. "pair polygon[];"
- print(#polygon)
for i=1,#polygon do
output = output .. "polygon[".. i .. "] = (" .. polygon[i].x .. "," .. polygon[i].y .. ")*u;"
end
end
+function tracePolygonTikZ(polygon,points, colorPoly)
+ output = "";
+ for i=1,#polygon do
+ output = output .. "\\coordinate (polygon".. i .. ") at (" .. polygon[i].x .. "," .. polygon[i].y .. ");"
+ end
+ output = output .. "\\draw[color=".. colorPoly .. ", thick]"
+ for i=1,#polygon do
+ output = output .. "(" .. polygon[i].x .. "," .. polygon[i].y .. ") -- "
+ end
+ output = output .. "cycle;"
+ if(points=="points") then
+ for i=1,#polygon do
+ output = output .. "\\draw[color="..colorPoly.."] (" .. polygon[i].x ..",".. polygon[i].y .. ") node {$\\bullet$} node[anchor=north east] {$\\MeshPoint_{" .. i .. "}$};"
+ end
+ end
+ if(points=="dotpoints") then
+ for i=1,#polygon do
+ output = output .. "\\draw[color="..colorPoly.."] (" .. polygon[i].x ..",".. polygon[i].y .. ") node {$\\bullet$};"
+ end
+ end
+ return output
+end
+
+
function drawMeshPolygonMP(chaine,mode,h,step,
- points,scale)
+ points,scale,random)
local polygon = buildList(chaine, mode)
polygon = addPointsPolygon(polygon,h)
- print(#polygon)
- local grid = buildGrid(polygon,h)
- print(#polygon)
+ local grid = buildGrid(polygon,h,random)
local listPoints = addGridPoints(polygon,grid,h)
- print(#polygon)
if(step=="polygon") then
-- the polygon
output = tracePolygonMP(polygon,points)
output = "\\leavevmode\\begin{mplibcode}beginfig(0);u:="..scale.. ";" .. output .."endfig;\\end{mplibcode}"
tex.sprint(output)
end
+
+
+
+function drawMeshPolygonTikZ(chaine,mode,h,step,
+ points,scale,color,colorPoly,random)
+ local polygon = buildList(chaine, mode)
+ polygon = addPointsPolygon(polygon,h)
+ local grid = buildGrid(polygon,h,random)
+ local listPoints = addGridPoints(polygon,grid,h)
+ if(step=="polygon") then
+ -- the polygon
+ output = tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="grid") then
+ -- polygon + grid
+ output = tracePointsTikZ(grid,points,color,"none") -- none for colorBbox
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="points") then
+ -- polygon + only grid points inside the polygon
+ output = tracePointsTikZ(listPoints,points,color,"none")
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="mesh") then
+ -- polygon + mesh
+ triangulation = BowyerWatson(listPoints,"none") -- no bbox
+ output = traceMeshTikZ(listPoints,triangulation,points,color,"none")
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ output = "\\noindent\\begin{tikzpicture}[x=" .. scale .. ",y=" .. scale .."]" .. output .."\\end{tikzpicture}"
+ tex.sprint(output)
+end
+
+function drawMeshPolygonMPinc(chaine,beginning,ending,mode,h,step,
+ points,scale,random)
+ local polygon = buildList(chaine, mode)
+ polygon = addPointsPolygon(polygon,h)
+ local grid = buildGrid(polygon,h,random)
+ local listPoints = addGridPoints(polygon,grid,h)
+ if(step=="polygon") then
+ -- the polygon
+ output = tracePolygonMP(polygon,points)
+ end
+ if(step=="grid") then
+ -- polygon + grid
+ output = tracePointsMP(grid,points)
+ output = output .. tracePolygonMP(polygon,points)
+ end
+ if(step=="points") then
+ -- polygon + only grid points inside the polygon
+ output = tracePointsMP(listPoints,points)
+ output = output .. tracePolygonMP(polygon,points)
+ end
+ if(step=="mesh") then
+ -- polygon + mesh
+ triangulation = BowyerWatson(listPoints,"none") -- no bbox
+ output = traceMeshMP(listPoints,triangulation,points)
+ output = output .. tracePolygonMP(polygon,points)
+ end
+ output = "\\begin{mplibcode}u:="..scale..";"..beginning .. output .. ending .. "\\end{mplibcode}"
+ tex.sprint(output)
+end
+
+
+
+function drawMeshPolygonTikZinc(chaine,beginning,ending,mode,h,step,
+ points,scale,color,colorPoly,random)
+ local polygon = buildList(chaine, mode)
+ polygon = addPointsPolygon(polygon,h)
+ local grid = buildGrid(polygon,h,random)
+ local listPoints = addGridPoints(polygon,grid,h)
+ if(step=="polygon") then
+ -- the polygon
+ output = tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="grid") then
+ -- polygon + grid
+ output = tracePointsTikZ(grid,points,color,"none") -- none for colorBbox
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="points") then
+ -- polygon + only grid points inside the polygon
+ output = tracePointsTikZ(listPoints,points,color,"none")
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ if(step=="mesh") then
+ -- polygon + mesh
+ triangulation = BowyerWatson(listPoints,"none") -- no bbox
+ output = traceMeshTikZ(listPoints,triangulation,points,color,"none")
+ output = output .. tracePolygonTikZ(polygon,points,colorPoly)
+ end
+ output = "\\noindent\\begin{tikzpicture}[x="..scale..",y="..scale.."]".. beginning..output ..ending.. "\\end{tikzpicture}"
+ tex.sprint(output)
+end