{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Coupon Particle Generation "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Amira Abdel-Rahman\n",
"# (c) Massachusetts Institute of Technology 2020"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"using Plots\n",
"import StaticArrays: SVector\n",
"using RegionTrees\n",
"import JSON\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"include(\"adaptive_distance_fields.jl\")\n",
"using .AdaptivelySampledDistanceFields: ASDF, evaluate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Frep Coupon"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"frepCoupon (generic function with 2 methods)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function frepCoupon(X,Y)\n",
" return min(min(min(min((min(X-(-123),(123)-X)),(min(Y-(-14.5),(14.5)-Y))),-(min((min(X-(-28.5),(28.5)-X)),(min(Y-(9.5),(100)-Y))))),-(min((min(X-(-28.5),(28.5)-X)),(min(Y-(-100),(-9.5)-Y))))),-(max(max(max(((76)*(76)-((X-(-28.5))*(X-(-28.5))+(Y-(-85.5))*(Y-(-85.5)))),((76)*(76)-((X-(28.5))*(X-(28.5))+(Y-(85.5))*(Y-(85.5))))),((76)*(76)-((X-(28.5))*(X-(28.5))+(Y-(-85.5))*(Y-(-85.5))))),((76)*(76)-((X-(-28.5))*(X-(-28.5))+(Y-(85.5))*(Y-(85.5)))))))\n",
"end\n",
"function frepCoupon(v)\n",
" X=v[1]\n",
" Y=v[2]/1\n",
" return min(min(min(min((min(X-(-123),(123)-X)),(min(Y-(-14.5),(14.5)-Y))),-(min((min(X-(-28.5),(28.5)-X)),(min(Y-(9.5),(100)-Y))))),-(min((min(X-(-28.5),(28.5)-X)),(min(Y-(-100),(-9.5)-Y))))),-(max(max(max(((76)*(76)-((X-(-28.5))*(X-(-28.5))+(Y-(-85.5))*(Y-(-85.5)))),((76)*(76)-((X-(28.5))*(X-(28.5))+(Y-(85.5))*(Y-(85.5))))),((76)*(76)-((X-(28.5))*(X-(28.5))+(Y-(-85.5))*(Y-(-85.5))))),((76)*(76)-((X-(-28.5))*(X-(-28.5))+(Y-(85.5))*(Y-(85.5)))))))\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"frepCouponBW (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function frepCouponBW(X,Y)\n",
" if frepCoupon(X,Y)>0\n",
" return 1\n",
" else\n",
" return 0\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 445,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"frepCouponScale (generic function with 2 methods)"
]
},
"execution_count": 445,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function frepCouponScale(X,Y)\n",
" scale=100.0\n",
" return min(min(min(min((min(X-(-123/scale),(123/scale)-X)),(min(Y-(-14.5/scale),(14.5/scale)-Y))),-(min((min(X-(-28.5/scale),(28.5/scale)-X)),(min(Y-(9.5/scale),(100/scale)-Y))))),-(min((min(X-(-28.5/scale),(28.5/scale)-X)),(min(Y-(-100/scale),(-9.5/scale)-Y))))),-(max(max(max(((76/scale)*(76/scale)-((X-(-28.5/scale))*(X-(-28.5/scale))+(Y-(-85.5/scale))*(Y-(-85.5/scale)))),((76/scale)*(76/scale)-((X-(28.5/scale))*(X-(28.5/scale))+(Y-(85.5/scale))*(Y-(85.5/scale))))),((76/scale)*(76/scale)-((X-(28.5/scale))*(X-(28.5/scale))+(Y-(-85.5/scale))*(Y-(-85.5/scale))))),((76/scale)*(76/scale)-((X-(-28.5/scale))*(X-(-28.5/scale))+(Y-(85.5/scale))*(Y-(85.5/scale)))))))\n",
"end\n",
"function frepCouponBWScale(X,Y)\n",
" if frepCouponScale(X,Y)>0\n",
" return 1\n",
" else\n",
" return 0\n",
" end\n",
"end\n",
"function frepCouponScale(v)\n",
" X=v[1]\n",
" Y=v[2]\n",
" scale=100.0\n",
" f= min(min(min(min((min(X-(-123/scale),(123/scale)-X)),(min(Y-(-14.5/scale),(14.5/scale)-Y))),-(min((min(X-(-28.5/scale),(28.5/scale)-X)),(min(Y-(9.5/scale),(100/scale)-Y))))),-(min((min(X-(-28.5/scale),(28.5/scale)-X)),(min(Y-(-100/scale),(-9.5/scale)-Y))))),-(max(max(max(((76/scale)*(76/scale)-((X-(-28.5/scale))*(X-(-28.5/scale))+(Y-(-85.5/scale))*(Y-(-85.5/scale)))),((76/scale)*(76/scale)-((X-(28.5/scale))*(X-(28.5/scale))+(Y-(85.5/scale))*(Y-(85.5/scale))))),((76/scale)*(76/scale)-((X-(28.5/scale))*(X-(28.5/scale))+(Y-(-85.5/scale))*(Y-(-85.5/scale))))),((76/scale)*(76/scale)-((X-(-28.5/scale))*(X-(-28.5/scale))+(Y-(85.5/scale))*(Y-(85.5/scale)))))))\n",
" return min(max(f,0.0),0.1)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
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"source": [
"delta=1\n",
"x=-130:delta:130\n",
"y=-20:delta:20\n",
"ran=20\n",
"display(heatmap(x,y,frepCouponBW, aspect_ratio=:equal))\n",
"display(heatmap(x,y,frepCoupon,clim=(-ran,ran), aspect_ratio=:equal))"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"delta=1/100\n",
"x=-130/100:delta:130/100\n",
"y=-20/100:delta:20/100\n",
"ran=20/100\n",
"display(heatmap(x,y,frepCouponBWScale, aspect_ratio=:equal))\n",
"display(heatmap(x,y,frepCouponScale,clim=(-ran,ran), aspect_ratio=:equal))"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"getSetup (generic function with 1 method)"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function getSetup(fileName)\n",
" setup = Dict()\n",
" open(fileName, \"r\") do f\n",
" dicttxt = read(f,String) # file information to string\n",
" setup=JSON.parse(dicttxt) # parse and transform data\n",
" end\n",
" return setup\n",
" \n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"nodeAt (generic function with 1 method)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function nodeAt(i,j,nodes)\n",
" f=findall(x->(x[1] == i && x[2] == j),nodes)\n",
" if length(f)>0 \n",
" return f[1]\n",
" else\n",
" return -1\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"nodeAt (generic function with 2 methods)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function nodeAt(i,j,nodes,tol)\n",
" f=findall(x->((x[1] < (i+tol ))&& (x[1] > (i-tol)) && (x[2] > (j-tol))&& (x[2] < (j+tol))),nodes)\n",
" if length(f)>0 \n",
" return f[1]\n",
" else\n",
" return -1\n",
" end\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"edgeAt (generic function with 1 method)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function edgeAt(i,j,edges)\n",
" f=findall(x->(x[2] == i && x[1] == j),edges)\n",
" if length(f)>0 \n",
" return f[1]\n",
" else\n",
" return -1\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup"
]
},
{
"cell_type": "code",
"execution_count": 437,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 437,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fileName=\"../../json/setupSimple.json\"\n",
"setup=getSetup(fileName)\n",
"setup[\"nodes\"]=[]\n",
"setup[\"edges\"]=[]\n",
"scale1=5e3\n",
"\n",
"node= Dict()\n",
"node[\"id\"]=\"n\"\n",
"node[\"position\"]= Dict()\n",
"node[\"position\"][\"x\"]=0\n",
"node[\"position\"][\"y\"]=0\n",
"node[\"position\"][\"z\"]=0\n",
"\n",
"node[\"force\"]= Dict()\n",
"node[\"force\"][\"x\"]=0\n",
"node[\"force\"][\"y\"]=0\n",
"node[\"force\"][\"z\"]=0\n",
"\n",
"node[\"angle\"]= Dict()\n",
"node[\"angle\"][\"x\"]=0\n",
"node[\"angle\"][\"y\"]=0\n",
"node[\"angle\"][\"z\"]=0\n",
"\n",
"node[\"displacement\"]= Dict()\n",
"node[\"displacement\"][\"x\"]=0\n",
"node[\"displacement\"][\"y\"]=0\n",
"node[\"displacement\"][\"z\"]=0\n",
"\n",
"node[\"fixedDisplacement\"]= Dict()\n",
"node[\"fixedDisplacement\"][\"x\"]=0\n",
"node[\"fixedDisplacement\"][\"y\"]=0\n",
"node[\"fixedDisplacement\"][\"z\"]=0\n",
"\n",
"node[\"restrained_degrees_of_freedom\"]= [false,false,false,true,true,true];\n",
"node[\"material\"]= Dict()\n",
"node[\"material\"][\"cTE\"]= 0\n",
"node[\"material\"][\"poissonRatio\"]= 0\n",
"node[\"material\"][\"density\"]= 1000\n",
"node[\"material\"][\"area\"]= 0.000001\n",
"node[\"material\"][\"stiffness\"]= 1000000\n",
"\n",
"node[\"nomSize\"]= 1\n",
"\n",
"\n",
"edge= Dict()\n",
"edge[\"id\"]=\"e\"\n",
"edge[\"source\"]= 0\n",
"edge[\"target\"]=0\n",
"edge[\"stress\"]=0\n",
"\n",
"edge[\"material\"]= Dict()\n",
"edge[\"material\"][\"cTE\"]= 0\n",
"edge[\"material\"][\"poissonRatio\"]= 0\n",
"edge[\"material\"][\"density\"]= 1000\n",
"edge[\"material\"][\"area\"]= 0.000001\n",
"edge[\"material\"][\"stiffness\"]= 1000000\n",
"\n",
"\n",
"voxelSize=0.001\n",
"gridSize=10\n",
"setup[\"gridSize\"]=gridSize\n",
"\n",
"#scaling params\n",
"setup[\"voxelSize\"]=voxelSize; #voxel size\n",
"setup[\"scale\"]=1e4; #scale for visualization\n",
"setup[\"hierarchical\"]=true; #hierachical simualtion\n",
"\n",
"\n",
"#simulation params\n",
"setup[\"numTimeSteps\"]=5000; #num of saved timesteps for simulation\n",
"\n",
"setup[\"poisson\"]=false; # account for poisson ration (only for hierarchical)\n",
"setup[\"linear\"]=true; # linear vs non-linear\n",
"setup[\"thermal\"]=true; #if there is change in temperature\n",
"setup[\"globalDamping\"]=0.15; # (usually from 0.1 to 0.4)\n",
"\n",
"\n",
"#visualization params\n",
"setup[\"maxNumFiles\"]=200; #num of saved timesteps for visualization\n",
"\n",
"\n",
"######################### 2.b. Materials #########################\n",
"\n",
"#default material\n",
"material1= Dict()\n",
"material1[\"area\"]=voxelSize*voxelSize\n",
"material1[\"density\"]=1e3\n",
"material1[\"stiffness\"]=1e6\n",
"material1[\"poissonRatio\"]=0.0\n",
"material1[\"cTE\"]=0.0 #coefficient of thermal expansion\n",
"\n",
"# #large bounding box for default material\n",
"# boundingBoxMaterial1=Dict()\n",
"# boundingBoxMaterial1[\"min\"]=Dict()\n",
"# boundingBoxMaterial1[\"max\"]=Dict()\n",
"\n",
"# boundingBoxMaterial1[\"min\"][\"x\"]=-voxelSize*gridSize;\n",
"# boundingBoxMaterial1[\"min\"][\"y\"]=-voxelSize*gridSize;\n",
"# boundingBoxMaterial1[\"min\"][\"z\"]=-voxelSize*gridSize;\n",
"\n",
"# boundingBoxMaterial1[\"max\"][\"x\"]= voxelSize*gridSize;\n",
"# boundingBoxMaterial1[\"max\"][\"y\"]= voxelSize*gridSize;\n",
"# boundingBoxMaterial1[\"max\"][\"z\"]= voxelSize*gridSize;\n",
"\n",
"# #second material\n",
"# material2= Dict()\n",
"# material2[\"area\"]=voxelSize*voxelSize\n",
"# material2[\"density\"]=1e3\n",
"# material2[\"stiffness\"]=1e6\n",
"# material2[\"poissonRatio\"]=0.0\n",
"# material2[\"cTE\"]=0.1 #coefficient of thermal expansion\n",
"\n",
"# #bounding box material 2\n",
"# boundingBoxMaterial2=Dict()\n",
"# boundingBoxMaterial2[\"min\"]=Dict()\n",
"# boundingBoxMaterial2[\"max\"]=Dict()\n",
"\n",
"\n",
"# boundingBoxMaterial2[\"min\"][\"x\"]=0;\n",
"# boundingBoxMaterial2[\"min\"][\"y\"]=voxelSize;\n",
"# boundingBoxMaterial2[\"min\"][\"z\"]=0;\n",
"\n",
"# boundingBoxMaterial2[\"max\"][\"x\"]= voxelSize*(latticeSizeX);\n",
"# boundingBoxMaterial2[\"max\"][\"y\"]= voxelSize*(latticeSizeY);\n",
"# boundingBoxMaterial2[\"max\"][\"z\"]= voxelSize*(latticeSizeZ);\n",
"\n",
"setup[\"materials\"]=[\n",
"# [boundingBoxMaterial1,material1],\n",
"# [boundingBoxMaterial2,material2]\n",
"];\n",
"\n",
"######################### 2.c. Supports #########################\n",
"\n",
"#x,y,z,rx,ry,rz (default is pinned joing i.e [false,false,false,true,true,true])\n",
"dof=[true,true,true,true,true,true]\n",
"\n",
"boundingBoxSupport1=Dict()\n",
"boundingBoxSupport1[\"min\"]=Dict()\n",
"boundingBoxSupport1[\"max\"]=Dict()\n",
"\n",
"\n",
"boundingBoxSupport1[\"min\"][\"x\"]= 100/scale1;\n",
"boundingBoxSupport1[\"min\"][\"y\"]= -40/scale1;\n",
"boundingBoxSupport1[\"min\"][\"z\"]= -1/scale1;\n",
"\n",
"boundingBoxSupport1[\"max\"][\"x\"]= 150/scale1;\n",
"boundingBoxSupport1[\"max\"][\"y\"]= 40/scale1;\n",
"boundingBoxSupport1[\"max\"][\"z\"]= 1/scale1;\n",
"\n",
"setup[\"supports\"]=[\n",
" [boundingBoxSupport1,dof]\n",
" ];\n",
"\n",
"######################### 2.d. Loads #########################\n",
"#### 2.d.1 Static Loads\n",
"load1=Dict()\n",
"load1[\"x\"]=0.0\n",
"load1[\"y\"]=0.0\n",
"load1[\"z\"]=0.0\n",
"\n",
"boundingBoxLoad1=Dict()\n",
"boundingBoxLoad1[\"min\"]=Dict()\n",
"boundingBoxLoad1[\"max\"]=Dict()\n",
"\n",
"boundingBoxLoad1[\"min\"][\"x\"]=-150/scale1;\n",
"boundingBoxLoad1[\"min\"][\"y\"]=-40/scale1;\n",
"boundingBoxLoad1[\"min\"][\"z\"]=-1/scale1;\n",
"\n",
"boundingBoxLoad1[\"max\"][\"x\"]=-100/scale1;\n",
"boundingBoxLoad1[\"max\"][\"y\"]=40/scale1;\n",
"boundingBoxLoad1[\"max\"][\"z\"]=1/scale1;\n",
"\n",
"\n",
"setup[\"loads\"]=[\n",
" [boundingBoxLoad1,load1]\n",
" ];\n",
"\n",
"setup[\"fixedDisplacements\"]=[];\n",
"\n",
"setup[\"viz\"]=Dict()\n",
"setup[\"viz\"][\"minStress\"]= 10000000\n",
"setup[\"viz\"][\"maxStress\"]= -10000000\n",
"setup[\"viz\"][\"colorMaps\"]= []\n",
"setup[\"viz\"][\"colorMap\"]= 0\n",
"setup[\"viz\"][\"exaggeration\"]= 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Square Lattice"
]
},
{
"cell_type": "code",
"execution_count": 440,
"metadata": {},
"outputs": [],
"source": [
"delta=5\n",
"x=-130:delta:130\n",
"y=-20:delta:20\n",
"Xs=[]\n",
"Ys=[]\n",
"edgesX=[]\n",
"edgesY=[]\n",
"for i in x\n",
" for j in y\n",
" if frepCouponBW(i,j)>0\n",
" append!(Xs,i)\n",
" append!(Ys,j)\n",
" if frepCouponBW(i-delta,j)>0\n",
" append!(edgesX,[[i,i-delta]])\n",
" append!(edgesY,[[j,j]])\n",
" end\n",
" if frepCouponBW(i,j-delta)>0\n",
" append!(edgesX,[[i,i]])\n",
" append!(edgesY,[[j,j-delta]])\n",
" end\n",
" end\n",
" end\n",
"end\n",
"# plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\")\n",
"# display(scatter!(Xs,Ys, aspect_ratio=:equal,label=\"\"))\n",
"# display(plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\"))"
]
},
{
"cell_type": "code",
"execution_count": 407,
"metadata": {},
"outputs": [
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" \"/>\n",
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" 2290.94,724.432 2290.94,767.359 \n",
" \"/>\n",
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" 2290.94,681.505 2248.01,681.505 \n",
" \"/>\n",
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" \"/>\n",
"</svg>\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"delta=5\n",
"x=-130:delta:130\n",
"y=-20:delta:20\n",
"Xs=[]\n",
"Ys=[]\n",
"nodes=[]\n",
"edges=[]\n",
"edgesX=[]\n",
"edgesY=[]\n",
"\n",
"count=1\n",
"for i in x\n",
" for j in y\n",
" if frepCouponBW(i,j)>0\n",
" append!(Xs,i)\n",
" append!(Ys,j)\n",
" append!(nodes,[[i,j]])\n",
" \n",
" node1=deepcopy(node)\n",
" node1[\"id\"]=\"n$(count-1)\"\n",
" node1[\"position\"][\"x\"]=i/scale1\n",
" node1[\"position\"][\"y\"]=j/scale1\n",
" node1[\"position\"][\"z\"]=0\n",
" if(i<-100)\n",
" node1[\"force\"][\"x\"]=-0.5*0.1\n",
" node1[\"force\"][\"y\"]=0\n",
" node1[\"force\"][\"z\"]=0\n",
" elseif(i>100)\n",
" node1[\"force\"][\"x\"]=0.5*0.1\n",
" node1[\"force\"][\"y\"]=0\n",
" node1[\"force\"][\"z\"]=0\n",
" end\n",
" \n",
" append!(setup[\"nodes\"],[node1])\n",
" \n",
" \n",
" id=nodeAt(i-delta,j,nodes)\n",
" if id>0\n",
" append!(edgesX,[[i,i-delta]])\n",
" append!(edgesY,[[j,j]])\n",
" append!(edges,[[count,id]])\n",
" \n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
" \n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" id=nodeAt(i,j-delta,nodes)\n",
" if id>0\n",
" append!(edgesX,[[i,i]])\n",
" append!(edgesY,[[j,j-delta]])\n",
" append!(edges,[[count,id]])\n",
" \n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
" \n",
" append!(setup[\"edges\"],[edge1])\n",
" \n",
" end\n",
" count+=1\n",
" end\n",
" end\n",
"end\n",
"edges=reshape(vcat(edges...),2,length(edges))\n",
"\n",
"plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\")\n",
"display(scatter!(Xs,Ys, aspect_ratio=:equal,label=\"\"))\n",
"display(plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\"))\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 408,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"127089"
]
},
"execution_count": 408,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"newSetup=Dict()\n",
"newSetup[\"setup\"]=setup\n",
"fileName=\"../../json/coupon.json\"\n",
"fileName\n",
"# pass data as a json string (how it shall be displayed in a file)\n",
"stringdata = JSON.json(newSetup)\n",
"\n",
"# write the file with the stringdata variable information\n",
"open(fileName, \"w\") do f\n",
" write(f, stringdata)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 441,
"metadata": {},
"outputs": [
{
"ename": "BoundsError",
"evalue": "BoundsError: attempt to access 215-element Array{Any,1} at index [216]",
"output_type": "error",
"traceback": [
"BoundsError: attempt to access 215-element Array{Any,1} at index [216]",
"",
"Stacktrace:",
" [1] getindex(::Array{Any,1}, ::Int64) at .\\array.jl:728",
" [2] top-level scope at .\\In[441]:3"
]
}
],
"source": [
"p=plot(aspect_ratio=:equal,label=\"\")\n",
"for c in 1:size(edges)[2]\n",
" p=plot!([Xs[edges[1,c]],Xs[edges[2,c]]],[Ys[edges[1,c]],Ys[edges[2,c]]],label=\"\")\n",
"end\n",
"p;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hex lattice"
]
},
{
"cell_type": "code",
"execution_count": 442,
"metadata": {},
"outputs": [],
"source": [
"delta=5\n",
"deltaS=sqrt(delta^2-(delta/2)^2)\n",
"x=-130:delta:130\n",
"y=-20:deltaS:20\n",
"Xs=[]\n",
"Ys=[]\n",
"edgesX=[]\n",
"edgesY=[]\n",
"for i in 1:length(x)\n",
" for j in 1:length(y)\n",
" ii=x[i]\n",
" jj=y[j]\n",
" if j%(2)==0\n",
" ii+=delta/2.0\n",
" end\n",
" if frepCouponBW(ii,jj)>0\n",
" append!(Xs,ii)\n",
" append!(Ys,jj)\n",
" if frepCouponBW(ii-delta,jj)>0\n",
" append!(edgesX,[[ii,ii-delta]])\n",
" append!(edgesY,[[jj,jj]])\n",
" end\n",
" if frepCouponBW(ii-delta/2.0,jj-deltaS)>0\n",
" append!(edgesX,[[ii,ii-delta/2.0]])\n",
" append!(edgesY,[[jj,jj-deltaS]])\n",
" end\n",
" if frepCouponBW(ii+delta/2.0,jj-deltaS)>0\n",
" append!(edgesX,[[ii,ii+delta/2.0]])\n",
" append!(edgesY,[[jj,jj-deltaS]])\n",
" end\n",
" count+=1\n",
" end\n",
" end\n",
"end\n",
"# plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\")\n",
"# display(scatter!(Xs,Ys, aspect_ratio=:equal,label=\"\"))\n",
"# display(plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\"))"
]
},
{
"cell_type": "code",
"execution_count": 438,
"metadata": {},
"outputs": [
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" 1891.46,785.568 1880.94,767.359 \n",
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" 1901.97,767.359 1891.46,785.568 \n",
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" 1891.46,749.151 1870.43,749.151 \n",
" \"/>\n",
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" 1891.46,749.151 1880.94,767.359 \n",
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" 1891.46,749.151 1901.97,767.359 \n",
" \"/>\n",
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" 1891.46,749.151 1880.94,730.942 \n",
" \"/>\n",
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" 1901.97,730.942 1880.94,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a98d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1901.97,730.942 1891.46,749.151 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#8e971d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,712.734 1870.43,712.734 \n",
" \"/>\n",
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" 1891.46,712.734 1880.94,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#9b7fe8; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,712.734 1901.97,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#608cf6; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,712.734 1880.94,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#f05f73; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1901.97,694.525 1880.94,694.525 \n",
" \"/>\n",
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" 1901.97,694.525 1891.46,712.734 \n",
" \"/>\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#718c69; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,676.316 1880.94,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47988b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,676.316 1901.97,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#1ea68c; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1891.46,676.316 1880.94,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#af78dd; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1901.97,658.108 1880.94,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#868d87; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1901.97,658.108 1891.46,676.316 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47a065; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,876.611 1901.97,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#7683af; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,858.402 1891.46,858.402 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#b08086; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,858.402 1901.97,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#309ac1; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,858.402 1922.99,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#788490; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,858.402 1901.97,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#e561a4; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,840.194 1901.97,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#99902c; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,840.194 1912.48,858.402 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#389a7b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,821.985 1891.46,821.985 \n",
" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#ac8d18; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,785.568 1891.46,785.568 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a9ad; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,785.568 1901.97,803.777 \n",
" \"/>\n",
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"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a98d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#8e971d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a8cb; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,749.151 1891.46,749.151 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#9b7fe8; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#608cf6; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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" 1922.99,730.942 1901.97,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#6b9e32; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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" 1912.48,712.734 1891.46,712.734 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47988b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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" 1912.48,712.734 1922.99,730.942 \n",
" \"/>\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#868d87; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,694.525 1901.97,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47a065; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,694.525 1912.48,712.734 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#7683af; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,676.316 1891.46,676.316 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#b08086; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,676.316 1901.97,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#309ac1; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,676.316 1922.99,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#788490; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1912.48,676.316 1901.97,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#e561a4; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,658.108 1901.97,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#99902c; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1922.99,658.108 1912.48,676.316 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#389a7b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,876.611 1922.99,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#d968a2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,858.402 1912.48,858.402 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,858.402 1922.99,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,858.402 1944.02,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,858.402 1922.99,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,840.194 1922.99,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#ac8d18; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,840.194 1933.51,858.402 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a9ad; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,821.985 1912.48,821.985 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#ed5d92; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,821.985 1922.99,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#c68125; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,821.985 1944.02,840.194 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a98d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,821.985 1922.99,803.777 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#8e971d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,803.777 1922.99,803.777 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a8cb; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,803.777 1933.51,821.985 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#9b7fe8; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,785.568 1912.48,785.568 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#608cf6; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,785.568 1922.99,803.777 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#f05f73; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,785.568 1944.02,803.777 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#dd64b5; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,785.568 1922.99,767.359 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#6b9e32; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,767.359 1922.99,767.359 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#718c69; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,767.359 1933.51,785.568 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47988b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,749.151 1912.48,749.151 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#1ea68c; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,749.151 1922.99,767.359 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#af78dd; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,749.151 1944.02,767.359 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#868d87; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,749.151 1922.99,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#47a065; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,730.942 1922.99,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#7683af; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,730.942 1933.51,749.151 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#b08086; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,712.734 1912.48,712.734 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#309ac1; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,712.734 1922.99,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#788490; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,712.734 1944.02,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#e561a4; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,712.734 1922.99,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#99902c; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,694.525 1922.99,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#389a7b; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,694.525 1933.51,712.734 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#d968a2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,676.316 1912.48,676.316 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,676.316 1922.99,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,676.316 1944.02,694.525 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#3da44d; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1933.51,676.316 1922.99,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#c271d2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,658.108 1922.99,658.108 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#ac8d18; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1944.02,658.108 1933.51,676.316 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#00a9ad; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1965.05,876.611 1944.02,876.611 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#ed5d92; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1954.53,858.402 1933.51,858.402 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#c68125; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1954.53,858.402 1944.02,876.611 \n",
" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" 1965.05,730.942 1944.02,730.942 \n",
" \"/>\n",
"<polyline clip-path=\"url(#clip2102)\" style=\"stroke:#d968a2; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
" 1965.05,730.942 1954.53,749.151 \n",
" \"/>\n",
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" 1954.53,712.734 1933.51,712.734 \n",
" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" 1965.05,694.525 1954.53,712.734 \n",
" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" 1933.51,749.151 1912.48,749.151 \n",
" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2502)\" style=\"stroke:#00a9ad; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2502)\" style=\"stroke:#ed5d92; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
"<polyline clip-path=\"url(#clip2502)\" style=\"stroke:#608cf6; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"delta=2.5\n",
"deltaS=sqrt(delta^2-(delta/2.0)^2)\n",
"x=-130.0:delta:130.0\n",
"y=-20.0:deltaS:20.0\n",
"Xs=[]\n",
"Ys=[]\n",
"\n",
"edgesX=[]\n",
"edgesY=[]\n",
"\n",
"nodes=[]\n",
"edges=[]\n",
"count=1\n",
"tol=1e-5\n",
"\n",
"for i in 1:length(x)\n",
" for j in 1:length(y)\n",
" ii=x[i]\n",
" jj=y[j]\n",
" if j%(2.0)==0.0\n",
" ii=x[i]+delta/2.0\n",
" end\n",
" \n",
" if frepCouponBW(ii,jj)>0\n",
" append!(Xs,ii)\n",
" append!(Ys,jj)\n",
" \n",
" append!(nodes,[[ii,jj]])\n",
" \n",
" node1=deepcopy(node)\n",
" node1[\"id\"]=\"n$(count-1)\"\n",
" node1[\"position\"][\"x\"]=ii/scale1\n",
" node1[\"position\"][\"y\"]=jj/scale1\n",
" node1[\"position\"][\"z\"]=0\n",
" if(ii<-100)\n",
" node1[\"force\"][\"x\"]=-0.5*0.01\n",
" node1[\"force\"][\"y\"]=0\n",
" node1[\"force\"][\"z\"]=0\n",
" elseif(ii>100)\n",
" node1[\"force\"][\"x\"]=0.5*0.01\n",
" node1[\"force\"][\"y\"]=0\n",
" node1[\"force\"][\"z\"]=0\n",
" end\n",
" \n",
" append!(setup[\"nodes\"],[node1])\n",
" \n",
" \n",
" \n",
" id=nodeAt(ii-delta,jj,nodes,tol)\n",
" if id>0\n",
" append!(edgesX,[[ii,ii-delta]])\n",
" append!(edgesY,[[jj,jj]])\n",
" if edgeAt(id,count,edges)<0\n",
" append!(edges,[[count,id]])\n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
"\n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" end\n",
" id=nodeAt(ii- delta/2.0,jj-deltaS,nodes,tol)\n",
" if id>0\n",
" append!(edgesX,[[ii,ii-delta/2.0]])\n",
" append!(edgesY,[[jj,jj-deltaS]])\n",
" if edgeAt(id,count,edges)<0\n",
" append!(edges,[[count,id]])\n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
"\n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" end\n",
" id=nodeAt(ii+ (delta/2.0),jj-deltaS,nodes,tol)\n",
" if id>0\n",
" append!(edgesX,[[ii,ii+delta/2.0]])\n",
" append!(edgesY,[[jj,jj-deltaS]])\n",
" if edgeAt(id,count,edges)<0\n",
" append!(edges,[[count,id]])\n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
"\n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" end\n",
" \n",
" id=nodeAt(ii- delta/2.0,jj+deltaS,nodes,tol)\n",
" if id>0\n",
" append!(edgesX,[[ii,ii-delta/2.0]])\n",
" append!(edgesY,[[jj,jj+deltaS]])\n",
" if edgeAt(id,count,edges)<0\n",
" append!(edges,[[count,id]])\n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
"\n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" end\n",
" id=nodeAt(ii+ (delta/2.0),jj+deltaS,nodes,tol)\n",
" if id>0\n",
" append!(edgesX,[[ii,ii+delta/2.0]])\n",
" append!(edgesY,[[jj,jj+deltaS]])\n",
" if edgeAt(id,count,edges)<0\n",
" append!(edges,[[count,id]])\n",
" edge1=deepcopy(edge)\n",
" edge1[\"id\"]=\"e$(count-1)\"\n",
" edge1[\"source\"]=(count-1)\n",
" edge1[\"target\"]=(id-1)\n",
"\n",
" append!(setup[\"edges\"],[edge1])\n",
" end\n",
" end\n",
" \n",
" count+=1\n",
" end\n",
" end\n",
"end\n",
"edges=reshape(vcat(edges...),2,length(edges))\n",
"\n",
"plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\")\n",
"display(scatter!(Xs,Ys, aspect_ratio=:equal,label=\"\"))\n",
"display(plot(edgesX,edgesY, aspect_ratio=:equal,label=\"\"))"
]
},
{
"cell_type": "code",
"execution_count": 439,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"854652"
]
},
"execution_count": 439,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"newSetup=Dict()\n",
"newSetup[\"setup\"]=setup\n",
"fileName=\"../../json/couponHex.json\"\n",
"fileName\n",
"# pass data as a json string (how it shall be displayed in a file)\n",
"stringdata = JSON.json(newSetup)\n",
"\n",
"# write the file with the stringdata variable information\n",
"open(fileName, \"w\") do f\n",
" write(f, stringdata)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 436,
"metadata": {},
"outputs": [
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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" \"/>\n",
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"</svg>\n"
]
},
"execution_count": 436,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p=plot(aspect_ratio=:equal,label=\"\")\n",
"for c in 1:size(edges)[2]\n",
" p=plot!([Xs[edges[1,c]],Xs[edges[2,c]]],[Ys[edges[1,c]],Ys[edges[2,c]]],label=\"\")\n",
"end\n",
"p"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Region Tree"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Cell: HyperRectangle{2,Float64}([-1.0, -1.0], [2.0, 2.0])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s = x -> sqrt(sum((x - SVector(0, 0)).^2))\n",
"adf = AdaptivelySampledDistanceFields.ASDF(s, SVector(-1., -1), SVector(2., 2),1e-2,1e-2)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
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"metadata": {},
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}
],
"source": [
"\n",
"plt = plot(xlim=(-1, 1), ylim=(-1, 1), legend=nothing)\n",
"\n",
"x = range(-1, stop=1, length=50)\n",
"y = range(-1, stop=1, length=50)\n",
"contour!(plt, x, y, (x, y) -> AdaptivelySampledDistanceFields.evaluate(adf, SVector(x, y)), fill=true)\n",
"\n",
"for leaf in allleaves(adf)\n",
" v = hcat(collect(vertices(leaf.boundary))...)\n",
" plot!(plt, v[1,[1,2,4,3,1]], v[2,[1,2,4,3,1]], color=:white)\n",
"end\n",
"\n",
"\n",
"plt"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Cell: HyperRectangle{2,Float64}([-1.0, -1.0], [2.0, 2.0])"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s = x -> sqrt(sum((x - SVector(0, 0)).^2))\n",
"adf = AdaptivelySampledDistanceFields.ASDF(s, SVector(-1., -1), SVector(2., 2),1e-3,1e-3)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
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},
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"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt = plot(xlim=(-1, 1), ylim=(-1, 1), legend=nothing)\n",
"\n",
"x = range(-1, stop=1, length=50)\n",
"y = range(-1, stop=1, length=50)\n",
"contour!(plt, x, y, (x, y) -> AdaptivelySampledDistanceFields.evaluate(adf, SVector(x, y)), fill=true)\n",
"for leaf in allleaves(adf)\n",
" v = hcat(collect(vertices(leaf.boundary))...)\n",
" plot!(plt, v[1,[1,2,4,3,1]], v[2,[1,2,4,3,1]], color=:white)\n",
"end\n",
"\n",
"\n",
"plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Coupon Multisize"
]
},
{
"cell_type": "code",
"execution_count": 444,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Cell: HyperRectangle{2,Float64}([-1.5, -0.2], [3.0, 0.4])"
]
},
"execution_count": 444,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rx=1.5\n",
"ry=0.2\n",
"adf = ASDF(frepCouponScale, SVector(-rx, -ry), SVector(2.0*rx, 2.0*ry),1e-2,1e-2)"
]
},
{
"cell_type": "code",
"execution_count": 446,
"metadata": {},
"outputs": [
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],
"source": [
"plt = plot(xlim=(-rx, rx), ylim=(-ry, ry))# legend=nothing)\n",
"\n",
"x = range(-rx, stop=rx, length=50)\n",
"y = range(-ry, stop=ry, length=50)\n",
"contour!(plt, x, y, (x, y) -> AdaptivelySampledDistanceFields.evaluate(adf, SVector(x, y)), fill=true)\n",
"\n",
"for leaf in allleaves(adf)\n",
" v = hcat(collect(vertices(leaf.boundary))...)\n",
" plot!(plt, v[1,[1,2,4,3,1]], v[2,[1,2,4,3,1]], color=:black,label=\"\")\n",
"end\n",
"\n",
"\n",
"plt"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {},
"outputs": [
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"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt = plot(xlim=(-rx, rx), ylim=(-ry, ry), aspect_ratio=:equal)# legend=nothing)\n",
"\n",
"x = range(-rx, stop=rx, length=50)\n",
"y = range(-ry, stop=ry, length=50)\n",
"contour!(plt, x, y, (x, y) -> AdaptivelySampledDistanceFields.evaluate(adf, SVector(x, y)), fill=true)\n",
"\n",
"for leaf in allleaves(adf)\n",
" v = hcat(collect(vertices(leaf.boundary))...)\n",
" plot!(plt, v[1,[1,2,4,3,1]], v[2,[1,2,4,3,1]], color=:white,label=\"\")\n",
"end\n",
"\n",
"\n",
"plt"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
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"metadata": {},
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],
"source": [
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]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
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"execution_count": 95,
"metadata": {},
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],
"source": [
"heatmap(x,y,frepCouponScale, aspect_ratio=:equal)"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
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{
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{
"data": {
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]
},
"execution_count": 76,
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{
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"execution_count": 77,
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{
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},
"execution_count": 78,
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