test-0.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try to find roots of polynomials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: using PolynomialRoots.roots in module Main conflicts with an existing identifier.\n"
     ]
    }
   ],
   "source": [
    "using Polynomials, Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = Polynomial(randn(200))\n",
    "r = roots(p);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter(real(r),imag(r))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " -0.9025432430254615\n",
       "  0.652064133132702\n",
       "  3.4851098274671926"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "real(r[isreal.(r)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " 1.2862784085449288e-13\n",
       " 3.317511123335817e-15\n",
       " 1.3289255883846086e92"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p.(real(r[isreal.(r)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "199-element Vector{ComplexF64}:\n",
       "  -1.016776168969395 - 0.03697732254276008im\n",
       "  -1.016776168969395 + 0.03697732254276008im\n",
       "  -1.003544341513075 - 0.08597107472319669im\n",
       "  -1.003544341513075 + 0.08597107472319669im\n",
       " -0.9968305589099165 - 0.12341698973691957im\n",
       " -0.9968305589099165 + 0.12341698973691957im\n",
       " -0.9921867978587726 - 0.1889458990043774im\n",
       " -0.9921867978587726 + 0.1889458990043774im\n",
       " -0.9914844940697471 - 0.15514200977684053im\n",
       " -0.9914844940697471 + 0.15514200977684053im\n",
       "                     ⋮\n",
       "  0.9948971650469645 - 0.2436414905673281im\n",
       "  0.9948971650469645 + 0.2436414905673281im\n",
       "  1.0043581680937888 - 0.09911404491761797im\n",
       "  1.0043581680937888 + 0.09911404491761797im\n",
       "  1.0055994387667777 - 0.039458205569635064im\n",
       "  1.0055994387667777 + 0.039458205569635064im\n",
       "  1.0774356765265631 - 0.12762657192129953im\n",
       "  1.0774356765265631 + 0.12762657192129953im\n",
       "  3.4851098274671957 + 0.0im"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import AMRVW; const AM = AMRVW\n",
    "\n",
    "r1 = AM.roots(coeffs(p))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter(real(r1),imag(r1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Float64}:\n",
       " -0.9025432430254595\n",
       "  0.6520641331327033\n",
       "  3.4851098274671957"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "real(r1[isreal.(r1)])"
   ]
  }
 ],
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