sympy-interval.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import inf\n",
    "from sympy import Interval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-\\infty, 42\\right]$"
      ],
      "text/plain": [
       "Interval(-oo, 42)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i1 = Interval(-inf, 42)\n",
    "i1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-23, \\infty\\right)$"
      ],
      "text/plain": [
       "Interval.open(-23, oo)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i2 = Interval.Lopen(-23, inf)\n",
    "i2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-\\infty, \\infty\\right)$"
      ],
      "text/plain": [
       "Interval(-oo, oo)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i1 | i2    # union"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-23, 42\\right]$"
      ],
      "text/plain": [
       "Interval.Lopen(-23, 42)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i1 & i2    # intersect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-\\infty, -23\\right]$"
      ],
      "text/plain": [
       "Interval(-oo, -23)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i1 - i2    # sub"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(42, \\infty\\right)$"
      ],
      "text/plain": [
       "Interval.open(42, oo)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i2 - i1    # sub"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left(-\\infty, -23\\right] \\cup \\left(42, \\infty\\right)$"
      ],
      "text/plain": [
       "Union(Interval(-oo, -23), Interval.open(42, oo))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i1 ^ i2    # xor"
   ]
  }
 ],
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  "language_info": {
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   "file_extension": ".py",
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