{
"cells": [
{
"cell_type": "markdown",
"id": "f88c95dc",
"metadata": {},
"source": [
"# `geomSpoke()`"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "e0c1ea2b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" <div id=\"U3UIVB\"></div>\n",
" <script type=\"text/javascript\" data-lets-plot-script=\"library\">\n",
" if(!window.letsPlotCallQueue) {\n",
" window.letsPlotCallQueue = [];\n",
" }; \n",
" window.letsPlotCall = function(f) {\n",
" window.letsPlotCallQueue.push(f);\n",
" };\n",
" (function() {\n",
" var script = document.createElement(\"script\");\n",
" script.type = \"text/javascript\";\n",
" script.src = \"https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v4.2.0/js-package/distr/lets-plot.min.js\";\n",
" script.onload = function() {\n",
" window.letsPlotCall = function(f) {f();};\n",
" window.letsPlotCallQueue.forEach(function(f) {f();});\n",
" window.letsPlotCallQueue = [];\n",
" \n",
" \n",
" };\n",
" script.onerror = function(event) {\n",
" window.letsPlotCall = function(f) {};\n",
" window.letsPlotCallQueue = [];\n",
" var div = document.createElement(\"div\");\n",
" div.style.color = 'darkred';\n",
" div.textContent = 'Error loading Lets-Plot JS';\n",
" document.getElementById(\"U3UIVB\").appendChild(div);\n",
" };\n",
" var e = document.getElementById(\"U3UIVB\");\n",
" e.appendChild(script);\n",
" })();\n",
" </script>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%useLatestDescriptors\n",
"%use lets-plot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "fa88b440",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Lets-Plot Kotlin API v.4.6.0. Frontend: Notebook with dynamically loaded JS. Lets-Plot JS v.4.2.0."
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"LetsPlot.getInfo()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "contrary-baltimore",
"metadata": {},
"outputs": [],
"source": [
"fun linspace(start: Double, stop: Double, num: Int): DoubleArray {\n",
" return DoubleArray(num) { i -> start + i * (stop - start) / (num - 1) }\n",
"}\n",
"\n",
"fun meshgrid(x: DoubleArray, y: DoubleArray): Pair<DoubleArray, DoubleArray> {\n",
" val X = DoubleArray(x.size * y.size) { i -> x[i % x.size] }\n",
" val Y = DoubleArray(x.size * y.size) { i -> y[i / x.size] }\n",
" return Pair(X, Y)\n",
"}\n",
" \n",
"fun gradient(Z: DoubleArray, d: Double, n: Int): Pair<DoubleArray, DoubleArray> {\n",
" val matrix = Z.toList().chunked(n)\n",
" val dY = mutableListOf<Double>()\n",
" val dX = mutableListOf<Double>()\n",
" for (i in 0 until n) {\n",
" for (j in 0 until n) {\n",
" val y = if (i > 0) (matrix[i][j] - matrix[i - 1][j]) / d else 0.0\n",
" val x = if (j > 0) (matrix[i][j] - matrix[i][j - 1]) / d else 0.0\n",
" dY += y\n",
" dX += x\n",
" }\n",
" }\n",
" return Pair(dY.toDoubleArray(), dX.toDoubleArray())\n",
"}\n",
"\n",
"fun getData(n: Int, a: Double, b: Double, f: (DoubleArray, DoubleArray) -> DoubleArray): Map<String, Any> {\n",
" val d = (b - a) / (n - 1)\n",
" \n",
" val xrange = linspace(a, b, n)\n",
" val yrange = linspace(a, b, n)\n",
" \n",
" val (x, y) = meshgrid(xrange, yrange)\n",
" val z = f(x, y)\n",
"\n",
" val (dY, dX) = gradient(z, d, n)\n",
" val r = DoubleArray(dX.size) { index -> sqrt(dX[index].pow(2) + dY[index].pow(2)) }\n",
" val rMax = r.max()\n",
" val radius = DoubleArray(r.size) { index -> r[index] / rMax * d }\n",
" val angle = DoubleArray(dY.size) { index -> atan2(dY[index], dX[index]) }\n",
" \n",
" return mapOf(\n",
" \"x\" to x, \n",
" \"y\" to y, \n",
" \"z\" to z, \n",
" \"radius\" to radius, \n",
" \"angle\" to angle\n",
" )\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "likely-samba",
"metadata": {},
"outputs": [],
"source": [
"val data = getData(n = 21, a = -2*PI, b = 2*PI) { xArray, yArray ->\n",
" DoubleArray(xArray.size) { index -> sin(xArray[index]) + cos(yArray[index]) }\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "absent-blame",
"metadata": {},
"outputs": [],
"source": [
"val p = letsPlot(data) { x = \"x\"; y = \"y\" } + \n",
" coordFixed() + themeVoid() +\n",
" scaleViridis(listOf(\"fill\", \"color\"))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "54a0a66d",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" <div id=\"z2YdnT\"></div>\n",
" <script type=\"text/javascript\" data-lets-plot-script=\"plot\">\n",
" (function() {\n",
" var plotSpec={\n",
"\"mapping\":{\n",
"\"x\":\"x\",\n",
"\"y\":\"y\"\n",
"},\n",
"\"coord\":{\n",
"\"name\":\"fixed\",\n",
"\"flip\":false\n",
"},\n",
"\"data\":{\n",
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"},{\n",
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"},\n",
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"},\n",
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"};\n",
" var plotContainer = document.getElementById(\"z2YdnT\");\n",
" window.letsPlotCall(function() {{\n",
" LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer);\n",
" }});\n",
" })(); \n",
" </script>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p + geomBin2D(stat = Stat.identity) { fill = \"z\" }"
]
},
{
"cell_type": "markdown",
"id": "twenty-watershed",
"metadata": {},
"source": [
"#### 1. Use `geomSpoke()` to Indicate the Direction and Distance (or Speed)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "58ae9962",
"metadata": {},
"outputs": [
{
"data": {
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"},\n",
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"\"scales\":[{\n",
"\"aesthetic\":\"fill\",\n",
"\"scale_mapper_kind\":\"color_cmap\"\n",
"},{\n",
"\"aesthetic\":\"color\",\n",
"\"scale_mapper_kind\":\"color_cmap\"\n",
"}],\n",
"\"layers\":[{\n",
"\"mapping\":{\n",
"},\n",
"\"stat\":\"identity\",\n",
"\"size\":1.5,\n",
"\"position\":\"identity\",\n",
"\"geom\":\"point\",\n",
"\"data\":{\n",
"}\n",
"},{\n",
"\"mapping\":{\n",
"\"angle\":\"angle\",\n",
"\"radius\":\"radius\",\n",
"\"color\":\"z\"\n",
"},\n",
"\"stat\":\"identity\",\n",
"\"position\":\"identity\",\n",
"\"geom\":\"spoke\",\n",
"\"data\":{\n",
"}\n",
"}],\n",
"\"theme\":{\n",
"\"name\":\"classic\",\n",
"\"axis\":{\n",
"\"blank\":true\n",
"},\n",
"\"line\":{\n",
"\"blank\":true\n",
"}\n",
"}\n",
"};\n",
" var plotContainer = document.getElementById(\"rtlfpW\");\n",
" window.letsPlotCall(function() {{\n",
" LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer);\n",
" }});\n",
" })(); \n",
" </script>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p + geomPoint(size = 1.5) + geomSpoke { angle = \"angle\"; radius = \"radius\"; color = \"z\" }"
]
},
{
"cell_type": "markdown",
"id": "6d4a96a5",
"metadata": {},
"source": [
"#### 2. Parameter `pivot`"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "c1e815fa",
"metadata": {},
"outputs": [],
"source": [
"fun getPlot(pivot: String): org.jetbrains.letsPlot.intern.Plot {\n",
" val a = -3.0\n",
" val b = 3.0 \n",
" val r = 0.75\n",
" val pivotData = getData(\n",
" n = 4, \n",
" a = a,\n",
" b = b\n",
" ) { xArray, yArray -> DoubleArray(xArray.size) { index -> xArray[index].pow(2) + yArray[index].pow(2) } }\n",
" val title = \"pivot=${pivot}\" + (\" (default)\".takeIf { pivot == \"tail\" } ?: \"\")\n",
" return ggplot(pivotData) { x = \"x\"; y = \"y\" } +\n",
" geomPoint() +\n",
" geomSpoke(radius = r, pivot = pivot) { angle = \"angle\" } +\n",
" coordFixed() +\n",
" xlim(a - r to b + r) + ylim(a - r to b + r) +\n",
" ggtitle(title) +\n",
" themeVoid() + theme(plotTitle = elementText(hjust = 0.5))\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3ea5cdc0",
"metadata": {},
"outputs": [
{
"data": {
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"\"name\":\"grid\",\n",
"\"ncol\":3,\n",
"\"nrow\":1,\n",
"\"fit\":true,\n",
"\"align\":false\n",
"},\n",
"\"figures\":[{\n",
"\"ggtitle\":{\n",
"\"text\":\"pivot=tail (default)\"\n",
"},\n",
"\"mapping\":{\n",
"\"x\":\"x\",\n",
"\"y\":\"y\"\n",
"},\n",
"\"coord\":{\n",
"\"name\":\"fixed\",\n",
"\"flip\":false\n",
"},\n",
"\"data\":{\n",
"\"x\":[-3.0,-1.0,1.0,3.0,-3.0,-1.0,1.0,3.0,-3.0,-1.0,1.0,3.0,-3.0,-1.0,1.0,3.0],\n",
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"},\n",
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"\"limits\":[-3.75,3.75]\n",
"},{\n",
"\"aesthetic\":\"y\",\n",
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"}],\n",
"\"layers\":[{\n",
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"},\n",
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"},{\n",
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"},\n",
"\"stat\":\"identity\",\n",
"\"pivot\":\"tail\",\n",
"\"position\":\"identity\",\n",
"\"geom\":\"spoke\",\n",
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"}],\n",
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"},\n",
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"},\n",
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"},{\n",
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"},\n",
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"},\n",
"\"coord\":{\n",
"\"name\":\"fixed\",\n",
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]
},
"execution_count": 9,
"metadata": {},
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}
],
"source": [
"gggrid(\n",
" listOf(getPlot(\"tail\"), getPlot(\"mid\"), getPlot(\"tip\")),\n",
" ncol=3\n",
")"
]
}
],
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