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Merged
Rafael-SOWNet merged 1 commit into from
Oct 24, 2026
Merged

Make the Lab's notebooks the sample notebooks #2110

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235 changes: 86 additions & 149 deletions Sources/Samples/CSharp.Interactive.Sample.ipynb
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Original file line number Diff line number Diff line change
@@ -1,189 +1,130 @@
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# C# example for AngouriMath\n",
"\n",
"While [AngouriMath.Interactive](https://www.nuget.org/packages/AngouriMath.Interactive) is recommended for research purposes, you can also use the default AngouriMath package in C# within interactive environment."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\r\n",
"<div>\r\n",
" <div id='dotnet-interactive-this-cell-18492.Microsoft.DotNet.Interactive.Http.HttpPort' style='display: none'>\r\n",
" The below script needs to be able to find the current output cell; this is an easy method to get it.\r\n",
" </div>\r\n",
" <script type='text/javascript'>\r\n",
"async function probeAddresses(probingAddresses) {\r\n",
" function timeout(ms, promise) {\r\n",
" return new Promise(function (resolve, reject) {\r\n",
" setTimeout(function () {\r\n",
" reject(new Error('timeout'))\r\n",
" }, ms)\r\n",
" promise.then(resolve, reject)\r\n",
" })\r\n",
" }\r\n",
"\r\n",
" if (Array.isArray(probingAddresses)) {\r\n",
" for (let i = 0; i < probingAddresses.length; i++) {\r\n",
"\r\n",
" let rootUrl = probingAddresses[i];\r\n",
"\r\n",
" if (!rootUrl.endsWith('/')) {\r\n",
" rootUrl = `${rootUrl}/`;\r\n",
" }\r\n",
"\r\n",
" try {\r\n",
" let response = await timeout(1000, fetch(`${rootUrl}discovery`, {\r\n",
" method: 'POST',\r\n",
" cache: 'no-cache',\r\n",
" mode: 'cors',\r\n",
" timeout: 1000,\r\n",
" headers: {\r\n",
" 'Content-Type': 'text/plain'\r\n",
" },\r\n",
" body: probingAddresses[i]\r\n",
" }));\r\n",
"\r\n",
" if (response.status == 200) {\r\n",
" return rootUrl;\r\n",
" }\r\n",
" }\r\n",
" catch (e) { }\r\n",
" }\r\n",
" }\r\n",
"}\r\n",
"\r\n",
"function loadDotnetInteractiveApi() {\r\n",
" probeAddresses([\"http://192.168.2.16:1000/\", \"http://127.0.0.1:1000/\"])\r\n",
" .then((root) => {\r\n",
" // use probing to find host url and api resources\r\n",
" // load interactive helpers and language services\r\n",
" let dotnetInteractiveRequire = require.config({\r\n",
" context: '18492.Microsoft.DotNet.Interactive.Http.HttpPort',\r\n",
" paths:\r\n",
" {\r\n",
" 'dotnet-interactive': `${root}resources`\r\n",
" }\r\n",
" }) || require;\r\n",
"\r\n",
" window.dotnetInteractiveRequire = dotnetInteractiveRequire;\r\n",
"\r\n",
" window.configureRequireFromExtension = function(extensionName, extensionCacheBuster) {\r\n",
" let paths = {};\r\n",
" paths[extensionName] = `${root}extensions/${extensionName}/resources/`;\r\n",
" \r\n",
" let internalRequire = require.config({\r\n",
" context: extensionCacheBuster,\r\n",
" paths: paths,\r\n",
" urlArgs: `cacheBuster=${extensionCacheBuster}`\r\n",
" }) || require;\r\n",
"\r\n",
" return internalRequire\r\n",
" };\r\n",
" \r\n",
" dotnetInteractiveRequire([\r\n",
" 'dotnet-interactive/dotnet-interactive'\r\n",
" ],\r\n",
" function (dotnet) {\r\n",
" dotnet.init(window);\r\n",
" },\r\n",
" function (error) {\r\n",
" console.log(error);\r\n",
" }\r\n",
" );\r\n",
" })\r\n",
" .catch(error => {console.log(error);});\r\n",
" }\r\n",
"\r\n",
"// ensure `require` is available globally\r\n",
"if ((typeof(require) !== typeof(Function)) || (typeof(require.config) !== typeof(Function))) {\r\n",
" let require_script = document.createElement('script');\r\n",
" require_script.setAttribute('src', 'https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js');\r\n",
" require_script.setAttribute('type', 'text/javascript');\r\n",
" \r\n",
" \r\n",
" require_script.onload = function() {\r\n",
" loadDotnetInteractiveApi();\r\n",
" };\r\n",
"\r\n",
" document.getElementsByTagName('head')[0].appendChild(require_script);\r\n",
"}\r\n",
"else {\r\n",
" loadDotnetInteractiveApi();\r\n",
"}\r\n",
"\r\n",
" </script>\r\n",
"</div>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r\n",
"(1,1): error CS0006: 袧械 褍写邪谢芯褋褜 薪邪泄褌懈 褎邪泄谢 屑械褌邪写邪薪薪褘褏 \"nuget:AngouriMath.Interactive, *-*\".\r\n",
"\r\n"
]
},
{
"ename": "Cell not executed",
"evalue": "compilation error",
"output_type": "error",
"traceback": []
}
],
"source": [
"#r \"nuget:AngouriMath, *-*\""
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Basics"
]
},
{
"cell_type": "code",
"metadata": {},
"source": [
"Entity expr = \"a2 + sqrt(b) / 6 = 4\";\n",
"expr"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"outputs": [],
"source": [
"using AngouriMath.Extensions;\n",
"using AngouriMath;"
]
"expr.Solve(\"a\")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"source": [
"\"sin(a x) / sqrt(x)\".ToEntity().Differentiate(\"x\")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"outputs": [],
"source": [
"\"x2 + sin(sqrt(x + 1/2)) + integral(sqrt(x + derivative(sin(y), y)), x)\".ToEntity()"
"\"a + b\".ToEntity().Substitute(\"a\", 5).Substitute(\"b\", 6).Evaled"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"source": [
"@\"{ 1, 2 } \\/ RR \\/ [3; +oo)\".ToEntity()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"source": [
"var system = MathS.Equations(\n",
" \"a + b\",\n",
" \"sin(b) + c\"\n",
");\n",
"system.Solve(\"a\", \"b\")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Expressions, systems and matrices"
]
},
{
"cell_type": "code",
"metadata": {},
"source": [
"\"x2 + sin(sqrt(x + 1/2)) + integral(sqrt(x + derivative(sin(y), y)), x)\".ToEntity()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {},
"outputs": [],
"source": [
"var sys = MathS.Equations(\n",
" \"x + 2 - y - y2\",\n",
" \"x / y - sin(z) + 3\",\n",
" \"x - sin(z)\"\n",
");\n",
"sys"
]
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"MathS.Matrix(new Entity[,]{\n",
"{ \"x / 2\", \"beta - 2^3\", \"e / sqrt(pi)\" },\n",
"{ \"epsilon\", \"integral(sin(k), k)\", \"e - pi\" },\n",
"})"
]
],
"execution_count": null,
"outputs": []
}
],
"metadata": {
Expand All @@ -193,11 +134,7 @@
"name": ".net-csharp"
},
"language_info": {
"file_extension": ".cs",
"mimetype": "text/x-csharp",
"name": "C#",
"pygments_lexer": "csharp",
"version": "8.0"
"name": "C#"
}
},
"nbformat": 4,
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