notebooks/heatmaps.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2D heatmap"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"require 'gnuplotrb'\n",
"include GnuplotRB\n",
"include Math\n",
"\n",
"init = (-PI..PI).step(0.05).to_a\n",
"x = init.map { |el| [el] * init.size }.flatten\n",
"y = init * init.size\n",
"z = x.map.with_index { |xx, index| cos(0.5*xx*xx + y[index]**2) }\n",
"nil"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"heatmap = Plot.new(\n",
" [[x,y,z], with: 'image'],\n",
" title: \"Heatmap\",\n",
" style: 'data lines',\n",
" palette: 'defined ( 0 \"#000090\",\\\n",
" 1 \"#000fff\",\\\n",
" 2 \"#0090ff\",\\\n",
" 3 \"#0fffee\",\\\n",
" 4 \"#90ff70\",\\\n",
" 5 \"#ffee00\",\\\n",
" 6 \"#ff7000\",\\\n",
" 7 \"#ee0000\",\\\n",
" 8 \"#7f0000\")',\n",
" view: 'map',\n",
" xrange: -PI..PI,\n",
" yrange: -PI..PI,\n",
" term: 'pngcairo'\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 3D heatmap\n",
"\n",
"3D heatmap data should be prepared not the same way as simple 3D plot's. In this case data should consist of chunks:\n",
"```\n",
"x1 y1 z11 c11\n",
"x1 y2 z12 c12\n",
"x1 y3 z13 c13\n",
"...\n",
"x1 yN z1N c1N\n",
" #blank line here\n",
"x2 y1 z21 c21\n",
"x2 y2 z22 c22\n",
"...\n",
"x2 yN z2N c2N\n",
" #blank line here\n",
".\n",
".\n",
".\n",
" #blank line here\n",
"xN y1 zN1 cN1\n",
"xN y2 zN2 cN2\n",
"...\n",
"xN yN zNN cNN\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
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]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def z_function(x, y)\n",
" arg = x ** 2 + y ** 2\n",
" cos(arg) * exp(-arg/5.0)\n",
"end\n",
"\n",
"x = init.map { |el| [el] * init.size << ' ' }.flatten\n",
"y = (init + [' ']) * init.size\n",
"z = x.map.with_index { |xx, index| xx.is_a?(String) ? ' ' : z_function(xx, y[index]) }\n",
"color = x.map { |xx| xx.is_a?(String) ? ' ' : cos(xx) }\n",
"\n",
"plot3d = Splot.new(\n",
" [[x,y,z, color], title: '3D heatmap', using: '1:2:3:4', with: 'pm3d'],\n",
" xrange: -PI..PI,\n",
" yrange: -PI..PI,\n",
" view: [49, 28, 0.8, 1.48],\n",
" term: ['svg', size: [600,600]]\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 2D heatmap (matrix example)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"72"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"matrix = <<EOD\n",
"6 5 4 3 1 0\n",
"3 2 2 0 0 1\n",
"0 0 0 0 1 0\n",
"0 0 0 0 2 3\n",
"0 0 1 2 4 3\n",
"0 1 2 3 4 5\n",
"EOD\n",
"File.write('heat_map_data.txt', matrix)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
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"text/plain": [
"#<GnuplotRB::Splot:0x0000000190f118 @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x0000000190eda8 @type=:datafile, @data=\"'heat_map_data.txt'\", @options=Hamster::Hash[:matrix => true]>], @options=Hamster::Hash[:pm3d => \"map\", :palette => \"grey\"], @already_plotted=true, @cmd=\"splot \", @terminal=#<GnuplotRB::Terminal:0x0000000190e8a8 @cmd=\"gnuplot 2>&1\", @current_datablock=0, @err_array=[], @in=#<IO:fd 30>>>"
]
},
"execution_count": 5,
"metadata": {},
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}
],
"source": [
"from_matrix = Splot.new(\n",
" ['heat_map_data.txt', matrix: true],\n",
" pm3d: 'map',\n",
" palette: 'grey'\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now interpolated one:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
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"text/plain": [
"#<GnuplotRB::Splot:0x0000000190fa50 @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x0000000190eda8 @type=:datafile, @data=\"'heat_map_data.txt'\", @options=Hamster::Hash[:matrix => true]>], @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @already_plotted=true, @cmd=\"splot \", @terminal=#<GnuplotRB::Terminal:0x0000000190f000 @cmd=\"gnuplot 2>&1\", @current_datablock=0, @err_array=[], @in=#<IO:fd 34>>>"
]
},
"execution_count": 6,
"metadata": {},
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}
],
"source": [
"from_matrix.pm3d('map', interpolate: [8, 8])"
]
},
{
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