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saschatimme/Amoeba Coords.ipynb

Created September 10, 2019 14:36
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Amoeba Coords.ipynb
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"metadata": {},
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],
"source": [
"# Installation: using Pkg; pkg\"add PolynomialAmoebas Plots\"\n",
"\n",
"using PolynomialAmoebas, Plots, LinearAlgebra\n",
"\n",
"@polyvar x y\n",
"\n",
"f = x^2*y + y^2 + 3x^2*y^3 + y^4 + x^4*y^4\n",
"A = amoeba(f)\n",
"\n",
"plot(A)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
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"text/plain": [
"Contour2D:\n",
" * domain: (-5.0, 5.0, -5.0, 5.0)\n",
" * number of points: 3027\n"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cont = PolynomialAmoebas.contour(f, domain=(-5, 5, -5, 5), res=(1000,1000))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
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},
"outputs": [
{
"data": {
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" [0.069157, 0.146202] \n",
" [0.0481817, 0.41318] \n",
" [0.0520983, 0.401222] \n",
" ⋮ \n",
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" [-0.000894609, 0.706529]\n",
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"source": [
"pts = map(p -> p / (norm(p) + 2), points(cont))"
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"([0.00640523, 0.00662754, 0.0302072, 0.0375359, 0.0359115, 0.0205532, 0.0268323, 0.0301325, 0.0586981, 0.0724383 … -0.000894609, 0.000889787, 0.000840339, 0.000821349, 0.000802794, 0.000784664, 0.000775755, 0.000766949, 0.000758244, -0.000744555], [0.145829, -0.116139, -0.28766, -0.110606, 0.150807, 0.515985, 0.488172, 0.475002, -0.282473, -0.0981168 … 0.706529, 0.706529, 0.708667, 0.709513, 0.710354, 0.711191, 0.711607, 0.712023, 0.712437, 0.713261])"
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"source": [
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{
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