Upload Artificial_Calc_Teacher_v10.ipynb

Artificial_Calc_Teacher_v10.ipynb

@@ -0,0 +1,179 @@
+{
+ "cells": [
+  {
+   "cell_type": "raw",
+   "id": "8cf32803",
+   "metadata": {},
+   "source": [
+    "---\n",
+    "title: Artificial Calculus Teacher\n",
+    "description: Generates Derivative and Integral Expressions\n",
+    "show-code : False\n",
+    "---"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "108761f9",
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\frac{d}{d x} \\left(- \\sqrt[3]{x} + \\sin{\\left(x \\right)}\\right)$"
+      ],
+      "text/plain": [
+       "Derivative(-x**(1/3) + sin(x), x)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\int \\left(2 x + \\frac{1}{x^{2}}\\right)\\, dx$"
+      ],
+      "text/plain": [
+       "Integral(2*x + x**(-2), x)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n",
+      "\n"
+     ]
+    },
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\frac{d}{d x} \\left(- \\sqrt[3]{x} + \\sin{\\left(x \\right)}\\right) = \\cos{\\left(x \\right)} - \\frac{1}{3 x^{\\frac{2}{3}}}$"
+      ],
+      "text/plain": [
+       "Eq(Derivative(-x**(1/3) + sin(x), x), cos(x) - 1/(3*x**(2/3)))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\int \\left(2 x + \\frac{1}{x^{2}}\\right)\\, dx = \\frac{x^{3} - 1}{x}$"
+      ],
+      "text/plain": [
+       "Eq(Integral(2*x + x**(-2), x), (x**3 - 1)/x)"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from sympy import sin,cos,log,exp,tan,Function,Derivative,Eq,Integral,Rational\n",
+    "from sympy import factor_terms,simplify, sqrt, cbrt\n",
+    "from sympy.abc import x\n",
+    "import random\n",
+    "f = Function('f')\n",
+    "g = Function('g')\n",
+    "h = Function('h')\n",
+    "def random_math(x):\n",
+    "    allowed_values = list(range(-2, 2))\n",
+    "    allowed_values.remove(0)\n",
+    "    random_value = random.choice(allowed_values)\n",
+    "    random_value2 = random.choice(allowed_values)\n",
+    "    def power_function(x):      \n",
+    "        return x**(Rational(random_value,random_value2))\n",
+    "    def scalar_function(x):\n",
+    "        return x*random_value\n",
+    "    def addSUBTR_function(x): \n",
+    "        return x+random_value\n",
+    "    funs = [sin,power_function,log,exp,cos,tan,sqrt,cbrt,\n",
+    "            scalar_function,addSUBTR_function]     \n",
+    "    operations = [f(g(x)),f(x)+g(x),f(x)-g(x),f(x)/g(x),f(x)*g(x),\n",
+    "                 f(g(h(x))),f(h(x))+g(x),f(h(x))-g(x),f(h(x))/g(x),f(x)/g(h(x)),f(h(x))*g(x)]\n",
+    "    operation = operations[random.randrange(0,len(operations))]\n",
+    "    return [[[operation.replace(f, i) for i in funs][random.randrange(0,len(funs))].replace(g, i) for i in funs]\\\n",
+    "[random.randrange(0,len(funs))].replace(h, i) for i in funs][random.randrange(0,len(funs))]\n",
+    "\n",
+    "setup1 = random_math(x)\n",
+    "setup2 = random_math(x)\n",
+    "practice1 = Derivative(simplify(setup1),x)\n",
+    "practice2 = Integral(simplify(setup2),x)\n",
+    "p1eq = Eq(practice1,practice1.doit(),evaluate=False)\n",
+    "p2eq = Eq(practice2,practice2.doit().simplify(),evaluate=False)\n",
+    "if  setup1 != 0: \n",
+    "    display(p1eq.lhs)\n",
+    "if str(factor_terms(p2eq.lhs)) != str(p2eq.rhs):    \n",
+    "    if str(p2eq).find(\"Ei\") == -1 and str(p2eq).find(\"gamma\") == -1 and str(p2eq).find(\"Piecewise\") == -1\\\n",
+    "    and str(p2eq).find(\"li\") == -1 and str(p2eq).find(\"erf\") == -1 and str(p2eq).find(\"atan\") == -1\\\n",
+    "    and str(p2eq).find(\"Si\") == -1 and str(p2eq).find(\"Ci\") == -1 and str(p2eq).find(\"hyper\") == -1\\\n",
+    "    and str(p2eq).find(\"fresnel\") == -1 and str(p2eq).find(\"Li\") == -1:  \n",
+    "        display(p2eq.lhs)\n",
+    "    else:\n",
+    "        print(\"Error: Complex Integral\")\n",
+    "        pass\n",
+    "\n",
+    "else:\n",
+    "    print(\"Error: Impossible Integral\")  \n",
+    "    pass\n",
+    "    \n",
+    "for i in range(0,5):\n",
+    "    print(\"\\n\")\n",
+    "display(p1eq)\n",
+    "display(p2eq)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "493bdcbe",
+   "metadata": {},
+   "source": [
+    "*Credits to https://people.math.harvard.edu/~knill/teaching/math1a_2011/handouts/46-ai.pdf for inspiration*\n",
+    "\n",
+    "*Thanks to @smichr for .replace suggestion https://stackoverflow.com/a/73000728/17291132*\n",
+    "\n",
+    "**Notebook by github.com/nsc9   - MIT License**\n",
+    "\n",
+    "Donate by sending Bitcoin (BTC) to address: **bc1qtawr2gw52ftufzu0r3r20pnj3vmynssxs0mjl4**"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}