7864 lines
830 KiB
Plaintext
7864 lines
830 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"max_conv_operator (generic function with 1 method)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"using Random\n",
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"using Distributions\n",
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"using Plots\n",
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"using LinearAlgebra\n",
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"# ===============================================================\n",
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"\n",
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"function max_conv_operator(samples, f_samples, x, L)\n",
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" return maximum(f_samples .- L .* norm(x .- samples, 1))\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"sharktooth (generic function with 1 method)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"function sharktooth(f, x_start, x_end, y_start, y_end, number_of_sharkteeth, L, plot_arg)\n",
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" sample_x = rand(Uniform(x_start, x_end), number_of_sharkteeth)\n",
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" sample_y = rand(Uniform(y_start, y_end), number_of_sharkteeth)\n",
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" samples = hcat(sample_x,sample_y)\n",
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" f_samples = f.(eachrow(samples))\n",
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"\n",
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" x = LinRange(x_start,x_end,1000)\n",
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" y = LinRange(y_start,y_end,1000)\n",
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" X = [xi for xi in x, yi in y]\n",
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" Y = [yi for xi in x, yi in y]\n",
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" meshgrid = hcat(reshape(X,:),reshape(Y,:))\n",
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" \n",
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" approximant = Float64[]\n",
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" for i in 1:length(X)\n",
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" push!(approximant, max_conv_operator(samples, f_samples,meshgrid[i,:]',L))\n",
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" end\n",
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" error = maximum(abs.(f.(eachrow(meshgrid)) - approximant))\n",
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" if plot_arg ==1 \n",
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" plot(x,y,approximant, st=:surface)\n",
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" else \n",
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" return error\n",
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" end\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"f (generic function with 2 methods)"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"function f(x)\n",
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" x[1]^3 + y[1]^3\n",
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"end"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"metadata": {},
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"outputs": [
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{
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"ename": "UndefVarError",
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"evalue": "UndefVarError: `y` not defined",
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"output_type": "error",
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"traceback": [
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"UndefVarError: `y` not defined\n",
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"\n",
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"Stacktrace:\n",
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" [1] f(x::SubArray{Float64, 1, Matrix{Float64}, Tuple{Int64, Base.Slice{Base.OneTo{Int64}}}, true})\n",
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" @ Main ~/Library/Mobile Documents/com~apple~CloudDocs/Dissertation/julia_sharktooth_mult.ipynb:2\n",
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" [2] _broadcast_getindex_evalf\n",
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" @ ./broadcast.jl:683 [inlined]\n",
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" [3] _broadcast_getindex\n",
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" @ ./broadcast.jl:656 [inlined]\n",
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" [4] getindex\n",
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" @ ./broadcast.jl:610 [inlined]\n",
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" [5] copy(bc::Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}, Tuple{Base.OneTo{Int64}}, typeof(f), Tuple{RowSlices{Matrix{Float64}, Tuple{Base.OneTo{Int64}}, SubArray{Float64, 1, Matrix{Float64}, Tuple{Int64, Base.Slice{Base.OneTo{Int64}}}, true}}}})\n",
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" @ Base.Broadcast ./broadcast.jl:912\n",
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" [6] materialize\n",
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" @ ./broadcast.jl:873 [inlined]\n",
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" [7] sharktooth(f::Function, x_start::Int64, x_end::Int64, y_start::Int64, y_end::Int64, number_of_sharkteeth::Int64, L::Int64, plot_arg::Int64)\n",
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" @ Main ~/Library/Mobile Documents/com~apple~CloudDocs/Dissertation/julia_sharktooth_mult.ipynb:5\n",
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" [8] top-level scope\n",
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" @ ~/Library/Mobile Documents/com~apple~CloudDocs/Dissertation/julia_sharktooth_mult.ipynb:1"
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]
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}
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],
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"source": [
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"sharktooth(f,-3,3,-2,2,300,4,1)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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"</svg>\n"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"using Plots\n",
|
|
"\n",
|
|
"# Define the range for x and y values\n",
|
|
"x = -5:0.1:5\n",
|
|
"y = -5:0.1:5\n",
|
|
"\n",
|
|
"f(x,y) = x^3+y^3\n",
|
|
"\n",
|
|
"plot(x,y,f,st=:surface)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "ErrorException",
|
|
"evalue": "syntax: incomplete: premature end of input",
|
|
"output_type": "error",
|
|
"traceback": [
|
|
"syntax: incomplete: premature end of input\n",
|
|
"\n",
|
|
"Stacktrace:\n",
|
|
" [1] top-level scope\n",
|
|
" @ ~/Library/Mobile Documents/com~apple~CloudDocs/Dissertation/julia_sharktooth_mult.ipynb:1"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"Z = "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Julia 1.9.3",
|
|
"language": "julia",
|
|
"name": "julia-1.9"
|
|
},
|
|
"language_info": {
|
|
"file_extension": ".jl",
|
|
"mimetype": "application/julia",
|
|
"name": "julia",
|
|
"version": "1.9.3"
|
|
},
|
|
"orig_nbformat": 4
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|