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{
"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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