609 lines
1.1 MiB
609 lines
1.1 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"collapsed": true
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},
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"source": [
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"# Plots\n",
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"\n",
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"This file demonstrates how to create plots in Julia by using the [Plots](https://github.com/JuliaPlots/Plots.jl) package (using PyPlot or GR as the backend).\n",
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"\n",
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"See [Julia Plots Gallery](https://goropikari.github.io/PlotsGallery.jl/) for examples (with code snippets)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Load Packages and Extra Functions"
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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": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"using Dates, Plots\n",
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"\n",
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"#pyplot(size=(500,333))\n",
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"gr(size=(480,320))\n",
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"default(fmt = :svg)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# A First Plot\n",
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"\n",
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"The next cell creates and shows a first plot.\n",
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"\n",
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"The first plot takes a bit of time. Subsequent plots are much quicker.\n",
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"\n",
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"The $x$ and $y$ values in this file are in vectors and matrices, so all the examples can be applied to (statistical) data. (In contrast, when your aim is to plot functions, then you can actually avoid generating the y values. See the manual for a discussion.)\n",
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"\n",
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"The `savefig()` command (see below) saves the plot to a graphics file."
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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": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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},
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"metadata": {},
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|
"output_type": "display_data"
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|
}
|
|
],
|
|
"source": [
|
|
"x = range(-3,stop=3,length=20) #something to plot\n",
|
|
"y = 2*x.^2 .+ 0.5\n",
|
|
"\n",
|
|
"p1 = plot( [x x],[y log.(y)],\n",
|
|
" label = [\"y\" \"log y\"],\n",
|
|
" linecolor = [:red :blue],\n",
|
|
" linestyle = [:solid :dot],\n",
|
|
" linewidth = [5 2] )\n",
|
|
"display(p1) #not needed in notebook, but useful in script"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"linestyle {Symbol}\n",
|
|
"linestyles, ls, s, style\n",
|
|
"\n",
|
|
"Style of the line (for path and bar stroke). Choose from [:auto, :solid, :dash, :dot, :dashdot, :dashdotdot]\n",
|
|
"Series attribute, default: solid\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"plotattr(\"linestyle\") #see all available options"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#now with title, labels and more\n",
|
|
"\n",
|
|
"p1 = plot( [x x],[y log.(y)],\n",
|
|
" label = [\"y\" \"log y\"],\n",
|
|
" legend = :top,\n",
|
|
" linecolor = [:red :blue],\n",
|
|
" linestyle = [:solid :dot],\n",
|
|
" linewidth = [5 2],\n",
|
|
" title = \"a title\",\n",
|
|
" titlefont = font(20),\n",
|
|
" xlabel = \"x\",\n",
|
|
" ylabel = \"function values\",\n",
|
|
" xlims = (-3.5,3.5),\n",
|
|
" ylims = (-1,15),\n",
|
|
" xticks = [-2;0;2],\n",
|
|
" yticks = [0;5;6;10],\n",
|
|
" annotation = ([-1.9,0],[0.9,8],[text(\"some text\",8),\"here\"]) )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"savefig(\"AFirstPlot.pdf\") #change to .svg or .png"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Subplots\n",
|
|
"\n",
|
|
"Use ```layout = (2,2)``` to create a 2x2 plot and `layout = @layout[a a;a _]` to create a 2x2 plot where the last subplot is blank. In the latter case, `a` just indicates that there should be a visible subplot (you could use another symbol, eg `b`) and `_` that the subpot should be blank."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
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},
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|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = plot( [x x x],[y log.(y) log.(y).^2],\n",
|
|
" #layout = (2,2),\n",
|
|
" layout = @layout[a a;a _],\n",
|
|
" size = (600,400),\n",
|
|
" linecolor = [:red :blue :black],\n",
|
|
" title = [\"a. first\" \"b. second\" \"c. third\"],\n",
|
|
" xlabel = \"x\",\n",
|
|
" legend = false )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Adding Horizontal and Vertical Lines"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = plot( x,y,\n",
|
|
" legend = false,\n",
|
|
" title = \"With reference lines at y = 11 and x = 0.5\",\n",
|
|
" xlabel = \"x\",\n",
|
|
" ylabel = \"function values\" )\n",
|
|
"\n",
|
|
"vline!([0.5],linecolor=:red,line=(:dot,2)) #easiest to not integrate this in plot()\n",
|
|
"hline!([11],linecolor=:black,line=(:dash,1))\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# LaTeX in the Figure\n",
|
|
"\n",
|
|
"`gr()` can include LaTeX elements. Such strings need to be just LaTeX code, so you need a work-around to combine it with text: see `title` in the cell below. In particualr, notice that `\\mathrm{}` creates ordinary text and that `\\` gives a space.\n",
|
|
"\n",
|
|
"To insert the value of the variable `z` into the LaTeX string (\"string interpolation\"), use `%$z` instead of the standard `$z`.\n",
|
|
"\n",
|
|
"(You may also consider `pyplot()` which has extensive support for LaTeX.)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
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|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"using LaTeXStrings #add some LaTeX to the figure\n",
|
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"\n",
|
|
"z = 4 #a value to be used inside the string\n",
|
|
"\n",
|
|
"p1 = plot( x,y,legend = false,\n",
|
|
" title = L\"$\\mathrm{a \\ title \\ using \\ LaTeX,\\ } 2 b^2 + 0.5$\",\n",
|
|
" xlabel = L\"$\\alpha$\",\n",
|
|
" ylabel = \"function values\",\n",
|
|
" annotation = (-0.5,10,L\"$\\mu_2 = \\int x^2 f(x) dx = %$z $\") ) #notice %$z\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"savefig(\"ASecondPlot.pdf\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Bars and Stairs Plots"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = bar( x,y,\n",
|
|
" legend = false,\n",
|
|
" fillcolor = :red,\n",
|
|
" xlims = (-2.5,2.5),\n",
|
|
" ylims = (-1,15),\n",
|
|
" title = \"Bar chart\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
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"outputs": [
|
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{
|
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"data": {
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|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = plot( x,y,\n",
|
|
" linetype = :steppre,\n",
|
|
" linecolor = :red,\n",
|
|
" legend = false,\n",
|
|
" xlims = (-2.5,2.5),\n",
|
|
" ylims = (-1,15),\n",
|
|
" title = \"Stairs plot\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Surface Plot\n",
|
|
"\n",
|
|
"In case the surface plot (below) does not work with the default backend (`gr()`), switch over to ```pyplot(size=(500,333))``` and then try again."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(20,)(25,)(25, 20)"
|
|
]
|
|
},
|
|
{
|
|
"data": {
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cz3m9kkW8hpbyRi/kULT3zP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unw+m4TLiRDqMyGXF8O+cEzAUj1184+SfRRSNtigT6jP+UUMTmweM39tuCSdlBCpwwlDL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\n/ogUQ64/1K9Va++rkP/esm0s/o2GvvYVp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transform=\"translate(141, 128)\"/>\n</g>\n</svg>\n"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"x = range(-3,stop=3,length=20) #create some \"data\" to plot\n",
|
|
"y = range(1,stop=7,length=25)\n",
|
|
"\n",
|
|
"z = fill(NaN,(length(x),length(y))) #to put results in, initialized as NaNs\n",
|
|
"for j = 1:length(y) #create z2 column by column\n",
|
|
" z[:,j] = 2*x.^2 .+ (y[j]-4)^2 - 0.0*x.*(y[j]-4)\n",
|
|
"end\n",
|
|
"\n",
|
|
"#notice the arguments: x,y,z'\n",
|
|
"println(size(x),size(y),size(z'))\n",
|
|
"\n",
|
|
"#pyplot(size=(500,333)) #in case surface does not work with gr()\n",
|
|
"p1 = surface( x,y,z',\n",
|
|
" size = (600,433),\n",
|
|
" legend = false,\n",
|
|
" xlims = (-3,3),\n",
|
|
" ylims = (1,7),\n",
|
|
" zlims = (0,30),\n",
|
|
" title = \"Surface plot\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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Fhi1vbt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\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p5XiqCiFASILPveZd+mG4jpenqwWfxD9NuW7Z6/yQx3/iJLlYpkAUEThHgZdvUUSURkzi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5oDvy+osTax9w5ZqmURx6ujEAN5ZgUHKyZbAYMrZLRn7uJH2ONejAgT2uWJqBbkT3SZH0RjbxfU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\nxrVFPI/nVNSK3hzM8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avwKbMER00u3dLLoBAoh1TSFKLx4+5dPdpopZ0n1ItUF1XQYOj4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\nUGAk+8hFQLguV9+4Pv2rzHXQ83R/XRuJFGWoKZA2t7pahB9DA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transform=\"translate(141, 128)\"/>\n</g>\n</svg>\n"
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = surface( x,y,z',\n",
|
|
" size = (600,433),\n",
|
|
" camera = (60,30),\n",
|
|
" legend = false,\n",
|
|
" xlims = (-3,3),\n",
|
|
" ylims = (1,7),\n",
|
|
" zlims = (0,30),\n",
|
|
" title = \"Surface plot, rotated\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Contour Plot"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = contour(x,y,z', #notice the transpose: z'\n",
|
|
" legend = false,\n",
|
|
" title = \"Contour plot of loss function\",\n",
|
|
" xlabel = \"x\",\n",
|
|
" ylabel = \"y\")\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Scatter and Histogram"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"markershape {Symbol, Shape, or AbstractVector}\n",
|
|
"markershapes, shape\n",
|
|
"\n",
|
|
"Choose from [:none, :auto, :circle, :rect, :star5, :diamond, :hexagon, :cross, :xcross, :utriangle, :dtriangle, :rtriangle, :ltriangle, :pentagon, :heptagon, :octagon, :star4, :star6, :star7, :star8, :vline, :hline, :+, :x].\n",
|
|
"Series attribute, default: none\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"plotattr(\"markershape\") #to see available options"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
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|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"N = 51\n",
|
|
"x = randn(N)\n",
|
|
"y = rand(N)\n",
|
|
"\n",
|
|
"p1 = scatter( x,y,\n",
|
|
" markersize = 5,\n",
|
|
" markercolor = :grey,\n",
|
|
" markershape = :rect,\n",
|
|
" legend = false,\n",
|
|
" grid = false,\n",
|
|
" title = \"Scatter plot\",\n",
|
|
" xlabel = \"x\",\n",
|
|
" ylabel = \"y\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
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"data": {
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},
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"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p1 = histogram( x,\n",
|
|
" bins = -2.5:0.25:2.5,\n",
|
|
" normalize = true,\n",
|
|
" fillcolor = :lightblue,\n",
|
|
" legend = false, \n",
|
|
" title = \"Histogram (with area = 1)\",\n",
|
|
" xlabel = \"x\",\n",
|
|
" ylabel = \"no. observations\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Time Series Plots\n",
|
|
"\n",
|
|
"We can use a `Date()` vector as the x-axis variable.\n",
|
|
"\n",
|
|
"To insert lines, annotations and tick marks, the $x$ values are defined as, for instance, `Date(2016,8,15)`. "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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},
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"metadata": {},
|
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"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"dN = Date(2015,12,4):Dates.Day(1):Date(2016,12,31) #just faking some dates\n",
|
|
"y = randn(length(dN)) #some random numbers to plot \n",
|
|
"\n",
|
|
"p1 = plot( dN,cumsum(y),\n",
|
|
" linecolor = :red,\n",
|
|
" legend = false,\n",
|
|
" title = \"A random walk\" )\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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1105.42,228.847 1109.57,222.061 1113.72,277.802 1117.87,357.894 1122.03,411.865 1126.18,334.92 1130.33,319.41 1134.48,357.931 1138.64,384.834 1142.79,403.473 \n 1146.94,395.521 1151.09,301.635 1155.25,243.602 1159.4,243.551 1163.55,153.081 1167.7,228.799 1171.86,310.114 1176.01,334.931 1180.16,396.955 1184.31,408.652 \n 1188.47,380.816 1192.62,383.766 1196.77,478.048 1200.92,453.076 1205.08,506.302 1209.23,501.69 1213.38,520.797 1217.53,592.18 1221.69,500.969 1225.84,486.084 \n 1229.99,487.934 1234.14,479.269 1238.3,513.459 1242.45,484.885 1246.6,465.768 1250.75,554.203 1254.91,501.449 1259.06,583.368 1263.21,508.917 1267.36,483.078 \n 1271.52,594.069 1275.67,637.123 1279.82,710.02 1283.97,697.267 1288.13,756.752 1292.28,725.113 1296.43,691.731 1300.58,718.856 1304.74,678.626 1308.89,686.659 \n 1313.04,574.005 1317.19,575.211 1321.35,580.532 1325.5,584.235 1329.65,649.318 1333.8,635.53 1337.96,624.488 1342.11,716.061 1346.26,659.312 1350.41,618.253 \n 1354.57,588.799 1358.72,673.871 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1620.33,634.031 1624.48,764.772 1628.63,780.478 1632.78,791.554 1636.94,728.636 1641.09,731.589 \n 1645.24,768.767 1649.39,717.709 1653.55,818.316 1657.7,863.028 1661.85,811.879 1666,864.706 1670.16,967.433 1674.31,901.175 1678.46,892.317 1682.61,910.093 \n 1686.77,917.788 1690.92,919.17 1695.07,905.202 1699.22,801.452 1703.38,757.714 1707.53,739.17 1711.68,814.369 1715.83,894.253 1719.99,950.907 1724.14,861.585 \n 1728.29,842.561 1732.44,833.962 1736.6,762.065 1740.75,793.895 1744.9,794.545 1749.05,701.992 1753.21,707.072 1757.36,685.039 1761.51,693.265 1765.66,637.168 \n 1769.82,626.18 1773.97,617.282 1778.12,720.749 1782.27,740.565 1786.43,744.372 1790.58,719.11 1794.73,763.27 1798.88,742.222 1803.04,750.83 1807.19,899.121 \n 1811.34,916.368 1815.49,977.361 1819.65,1057.36 1823.8,1017.31 \n \"/>\n<polyline clip-path=\"url(#clip082)\" style=\"stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" stroke-dasharray=\"16, 10\" 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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Vector{String}\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"xTicksLoc = [Date(2016,1),Date(2016,7),Date(2017,1)]\n",
|
|
"xTicksLab = Dates.format.(xTicksLoc,\"Y:m\") #see Dates.format for more options\n",
|
|
"\n",
|
|
"println(typeof(xTicksLab))\n",
|
|
"\n",
|
|
"p1 = plot( dN,cumsum(y),\n",
|
|
" linecolor = :red,\n",
|
|
" legend = false,\n",
|
|
" xticks = (xTicksLoc,xTicksLab),\n",
|
|
" title = \"A random walk, with better tick marks\",\n",
|
|
" annotation = (Date(2016,5),0,text(\"some text\",8)) )\n",
|
|
"\n",
|
|
"vline!([Date(2016)],linecolor=:black,line=(:dash,1))\n",
|
|
"display(p1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
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"metadata": {
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"@webio": {
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"lastCommId": null,
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"lastKernelId": null
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},
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"anaconda-cloud": {},
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"kernelspec": {
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"display_name": "Julia 1.7.0-rc1",
|
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"language": "julia",
|
|
"name": "julia-1.7"
|
|
},
|
|
"language_info": {
|
|
"file_extension": ".jl",
|
|
"mimetype": "application/julia",
|
|
"name": "julia",
|
|
"version": "1.7.0"
|
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}
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},
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"nbformat": 4,
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"nbformat_minor": 1
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}
|