{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "aaa8e1ea",
   "metadata": {},
   "source": [
    "# Wykład 10 - liczby i procesy losowe, wstęp"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "723b133c",
   "metadata": {},
   "source": [
    "W programowaniu często mamy potrzebę tworzenia losowych obiektów (np. liczb).\n",
    "\n",
    "- Modelowanie losowych procesów.\n",
    "- Generowanie syntetycznych danych (np. w celu tesowania algorytmów).\n",
    "- Symulacje z elementami losowymi, gry (np. rzuty kostką), ..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "196fbf7a",
   "metadata": {},
   "source": [
    "Typowe wymagania przy generowaniu losowych obiektów:\n",
    "- Losowania są niezależne (powtarzając losowanie możemy dostawać inne obiekty, wynik losowania nie wpływa na wyniki kolejnych losowań).\n",
    "- Indywidualne losowania odbywają się zgodnie z żądanym rozkładem:\n",
    "  - losując obiekt ze skończonej kolekcji zazwyczaj chcemy sprecyzować relatywne prawdopodobieństwa wylosowania danych obiektów (np. \"reszka ma wypadać 2 razy częściej, niż orzeł\", \"kazdy obiekt jest losowany z równym prawdopodobieństwem\").\n",
    "  - losując liczbę rzeczywistą stosujemy różne rozkłady statystyczne (rozkład jednostajny - szansa, że wylosowana liczba należy do danego przedziału jest wprost proporcjonalna do długości tego przedziału).\n",
    "    - główny przykład: losowanie jednostajne liczby $x$ z przedziału [0,1]: 50% szans że $x < 0.5$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61b557ee",
   "metadata": {},
   "source": [
    "Źródła losowości w programowaniu to trudny problem - od komputerów zazwyczaj oczekujemy zachowania deterministycznego, \"prawdziwa\" losowość wymaga specjalnego hardware'u. W praktyce losowość jest \"oszukana\" - emulowana za pomocą sztuczek arytmetycznych (tzw. generatory *pseudolosowe*)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80a3edfe",
   "metadata": {},
   "source": [
    "Typowe języki programowania mają biblioteki dostarczające algorytmy generujące liczby (lub inne obiekty) pseudolosowe."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbc14b37",
   "metadata": {},
   "source": [
    "W Pythonie:\n",
    "- wbudowana biblioteka `random`.\n",
    "- (pod)moduł `numpy.random`.\n",
    "- wiele bibliotek/frameworków dotyczących np. statystyki lub uczenia maszynowego ma własne podmoduły implementujące generatory pseudolosowe."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "409a26ce",
   "metadata": {},
   "source": [
    "## Wbudowany `random`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "570d6730",
   "metadata": {},
   "source": [
    "Wybrane funkcje z modułu `random`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23aa652d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import random"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6919fb62",
   "metadata": {},
   "source": [
    "### Liczby całkowite:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b00ab4f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-5"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.randint(-5, 5) # przedział [-5, 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ed5bcb64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.randint(-5, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d7fbf5df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-5"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.randint(-5, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "de67aecb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3\n",
      "-3\n",
      "-4\n",
      "4\n",
      "3\n",
      "0\n",
      "-4\n",
      "1\n",
      "-5\n",
      "-5\n",
      "3\n",
      "-5\n",
      "-1\n",
      "-5\n",
      "3\n",
      "-4\n",
      "5\n",
      "1\n",
      "5\n",
      "2\n"
     ]
    }
   ],
   "source": [
    "for _ in range(20):\n",
    "    print(random.randint(-5, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6841f79f",
   "metadata": {},
   "source": [
    "Dla przedziału postaci $[a, b)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e884c293",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 0, 0, 0)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.randrange(0, 2), random.randrange(0, 2), random.randrange(0, 2), random.randrange(0, 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac4eb57f",
   "metadata": {},
   "source": [
    "### Liczby rzeczywiste"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d2b18e8",
   "metadata": {},
   "source": [
    "Generator wszechobecny w wielu językach programowania: liczba rzeczywista losowana jednostajnie z przedziału $[0, 1)$ :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7aec8a66",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.28868759073419525"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.random()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "99e4cf55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.133654055660121,\n",
       " 0.9923860647906378,\n",
       " 0.9092410117294129,\n",
       " 0.33871565328723263,\n",
       " 0.6988835305739951]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[random.random() for _ in range(5)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fca642d3",
   "metadata": {},
   "source": [
    "Wiele funkcji z `random` wewnętrznie używa `random.random()`, np. losowanie jednostajne na przedziale $[a, b)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e6597754",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.9904101974220287"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.uniform(2, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "718abd9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.2838795734331176"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.uniform(2, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ddfa9ef",
   "metadata": {},
   "source": [
    "W praktyce jest to tym samym, co:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dbf7cfbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.482350513483651"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "3 * random.random() + 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a07f61e0",
   "metadata": {},
   "source": [
    "Rozkład normalny z ustaloną średnią i odchyleniem standardowym (wymaga znajomości statystyki):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c88d4b65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.9742964236313332"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.gauss() # średnia 0, odchylenie standardowe 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fdb34954",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.028833134671715"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.gauss(5, 3) # średnia 5, odchylenie standardowe 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce387b8f",
   "metadata": {},
   "source": [
    "### Losowanie obiekt(ów) z kolekcji"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1416ef81",
   "metadata": {},
   "source": [
    "Pojedynczy wybór:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cc7ac610",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'borsuk'"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choice([\"pies\", \"kot\", \"szczur\", \"nietoperz\", \"borsuk\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6a705fb0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'kot'"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choice([\"pies\", \"kot\", \"szczur\", \"nietoperz\", \"borsuk\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67e13c50",
   "metadata": {},
   "source": [
    "Losuje nie tylko z listy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c461512d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'c'"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choice(\"abc\")  # jak ['a', 'b', 'c']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60923ca0",
   "metadata": {},
   "source": [
    "Wiele wyborów (losowanie ze zwracaniem):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "db9d9b1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a', 'a', 'a', 'b', 'b', 'a', 'b', 'a', 'b', 'b']"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choices(\"ab\", k=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "093af2db",
   "metadata": {},
   "source": [
    "Można nadać (relatywne) wagi losowanych obiektów:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "eb2ac120",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['b', 'b', 'b', 'b', 'b', 'b', 'b', 'b', 'b', 'b']"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choices(\"ab\", k=10, weights=[1, 3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c14e1541",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['b', 'b', 'a', 'b', 'b', 'b', 'a', 'b', 'b', 'a']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.choices(\"ab\", k=10, cum_weights=[1, 4]) # to samo, co wyżej - wagi kumulatywne"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd247223",
   "metadata": {},
   "source": [
    "Losowanie bez zwracania (próbkowanie):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9daa999f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a', 'd', 'c']"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.sample(\"abcde\", k=3) # \"abcde\" - populacja"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ed51eab9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['e', 'b', 'd', 'a', 'c']"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.sample(\"abcde\", k=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "57589c2b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a', 'a', 'a', 'b']"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random.sample(\"aaaab\", k=4) # wielokrotne wystąpienia obiektu liczą się osobno"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "633d3269",
   "metadata": {},
   "source": [
    "### Tasowanie listy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "856f3eac",
   "metadata": {},
   "outputs": [],
   "source": [
    "lst = [1, 2, 3, 4, 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "9a70e9ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 4, 3, 5, 2]\n"
     ]
    }
   ],
   "source": [
    "random.shuffle(lst)\n",
    "print(lst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2b941ad1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 4, 1, 5, 2]\n"
     ]
    }
   ],
   "source": [
    "random.shuffle(lst)\n",
    "print(lst)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e986187",
   "metadata": {},
   "source": [
    "Ogólnie `random.shuffle` działa dla obiektów indeksowalnych kolejnymi liczbami naturalnymi."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb793841",
   "metadata": {},
   "source": [
    "### Proste przykłady"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8bfbfa42",
   "metadata": {},
   "outputs": [],
   "source": [
    "def die_roll():\n",
    "    return random.randint(1, 6)\n",
    "\n",
    "\n",
    "def coin_toss():\n",
    "    return random.choice([\"Heads\", \"Tails\"])\n",
    "\n",
    "\n",
    "def loaded_coin_toss(prob=0.5):\n",
    "    if random.random() < prob:\n",
    "        return \"Heads\"\n",
    "    return \"Tails\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49008056",
   "metadata": {},
   "source": [
    "Jak uczciwe są rzuty?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "d61f2503",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "786ecfa9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([die_roll() for _ in range(1000)], bins=6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "9871cd0d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Heads:  470\n",
      "Tails:  530\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tosses = [coin_toss() for _ in range(1000)]\n",
    "print(\"Heads: \", tosses.count(\"Heads\"))\n",
    "print(\"Tails: \", tosses.count(\"Tails\"))\n",
    "plt.hist(tosses, bins=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "65f5582f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Heads:  299\n",
      "Tails:  701\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tosses = [loaded_coin_toss(0.3) for _ in range(1000)]\n",
    "print(\"Heads: \", tosses.count(\"Heads\"))\n",
    "print(\"Tails: \", tosses.count(\"Tails\"))\n",
    "plt.hist(tosses, bins=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63bf9cdf",
   "metadata": {},
   "source": [
    "### Przykład: `fun_fact.py`\n",
    "### Przykład: `crawler.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c9101d0",
   "metadata": {},
   "source": [
    "### Generator pseudolosowy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76e70552",
   "metadata": {},
   "source": [
    "Przykład generatora pseudolosowe typu LCG (*linear congruential generator*). Takie generatory wyszły z użycia w ubiegłej dekadzie, ale kiedyś stanowiły standard przemysłowy."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64080775",
   "metadata": {},
   "source": [
    "Mamy dane liczby całkowite:\n",
    "- $m \\in \\mathbb{N}_{+}$  (*moduł*),\n",
    "- $0 < a < m$ (*mnożnik*),\n",
    "- $0 \\leq c < m$ (*krok*),\n",
    "- $0 \\leq x_0 < m$ (*ziarno*)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3036b613",
   "metadata": {},
   "source": [
    "Generujemy ciąg tzw. liczb pseudolosowych za pomocą równania rekurencyjnego:\n",
    "\n",
    "$$x_{i+1} := (a x_i + c) \\mod m.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f367e943",
   "metadata": {},
   "source": [
    "Przykładowa implementacja:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "781d4dff",
   "metadata": {},
   "outputs": [],
   "source": [
    "class SimpleLCG:\n",
    "    def __init__(self, m, a, c, seed):\n",
    "        self.m = m\n",
    "        self.a = a\n",
    "        self.c = c\n",
    "        self.x = seed\n",
    "    \n",
    "    def generate(self):\n",
    "        self.x = (self.x * self.a + self.c) % self.m\n",
    "        return self.x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "5bda9a30",
   "metadata": {},
   "outputs": [],
   "source": [
    "generator = SimpleLCG(2**32, 1664525, 1013904223, 0) # \"Numerical Recipes\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c35bf341",
   "metadata": {},
   "source": [
    "Emulacja `random.randrange(0, 2**32)`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "e117816b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1013904223\n",
      "1196435762\n",
      "3519870697\n",
      "2868466484\n",
      "1649599747\n",
      "2670642822\n",
      "1476291629\n",
      "2748932008\n",
      "2180890343\n",
      "2498801434\n",
      "3421909937\n",
      "3167820124\n",
      "2636375307\n",
      "3801544430\n",
      "28987765\n",
      "2210837584\n",
      "3039689583\n",
      "1338634754\n",
      "1649346937\n",
      "2768872580\n"
     ]
    }
   ],
   "source": [
    "for _ in range(20):\n",
    "    print(generator.generate())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9c7cf01",
   "metadata": {},
   "source": [
    "Emulacja `random.random()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "f49c71fd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5248550220858306\n",
      "0.5417053899727762\n",
      "0.40031240810640156\n",
      "0.24717128090560436\n",
      "0.01241737394593656\n",
      "0.26543533289805055\n",
      "0.9835601004306227\n",
      "0.612237255088985\n",
      "0.4530949655454606\n",
      "0.13359253061935306\n",
      "0.34309715148992836\n",
      "0.022151745855808258\n",
      "0.3708386120852083\n",
      "0.37684910418465734\n",
      "0.9912109395954758\n",
      "0.6252981321886182\n",
      "0.609549232525751\n",
      "0.17233789851889014\n",
      "0.9766001284588128\n",
      "0.5648908782750368\n"
     ]
    }
   ],
   "source": [
    "for _ in range(20):\n",
    "    print(generator.generate() / 2**32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "5154d050",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([generator.generate() for _ in range(10000)])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcd396dc",
   "metadata": {},
   "source": [
    "Wszystkie generatory pseudolosowe są oparte na tego typu \"sztuczkach\". Python używa [Twistera Mersenne'a](https://en.wikipedia.org/wiki/Mersenne_Twister), choć obecnie są dostępne jeszcze lepsze generatory."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87ea860c",
   "metadata": {},
   "source": [
    "Ziarno w `random` można nastawić, uzyskując powtarzalność wyników:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "b9a2295e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6177528569514706\n",
      "0.5332655736050008\n",
      "0.36584835924937553\n",
      "0.5857873539022715\n",
      "0.16568728368878083\n",
      "0.8243737469076314\n",
      "0.38370480861420864\n",
      "0.7896128249156874\n",
      "0.9217265098962596\n",
      "0.30763338797950246\n"
     ]
    }
   ],
   "source": [
    "random.seed(1337)\n",
    "for _ in range(10):\n",
    "    print(random.random())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "b13145b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6177528569514706\n",
      "0.5332655736050008\n",
      "0.36584835924937553\n",
      "0.5857873539022715\n",
      "0.16568728368878083\n",
      "0.8243737469076314\n",
      "0.38370480861420864\n",
      "0.7896128249156874\n",
      "0.9217265098962596\n",
      "0.30763338797950246\n"
     ]
    }
   ],
   "source": [
    "random.seed(1337)\n",
    "for _ in range(10):\n",
    "    print(random.random())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d15ce3da",
   "metadata": {},
   "source": [
    "### Krótko o generatorach w `numpy.random`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "246424e8",
   "metadata": {},
   "source": [
    "`numpy.random` ma wiele odpowiedników funkcji z `random`, ale wiele z nich potrafi generować całe tablice (o zadanym kształcie) wypełnione losowanymi liczbami."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "0f9ba69f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "3e36364e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4349337904337872"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.random()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "4d2d66d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.76240059, 0.5603723 , 0.07646996, 0.2641452 , 0.95370466],\n",
       "       [0.03578038, 0.19093171, 0.86640901, 0.74720231, 0.75587864],\n",
       "       [0.54673624, 0.69475865, 0.93449299, 0.28671177, 0.87102473],\n",
       "       [0.67718282, 0.56441377, 0.25458326, 0.83580347, 0.80061997],\n",
       "       [0.9792384 , 0.03667698, 0.38941169, 0.8543041 , 0.62670485],\n",
       "       [0.32579284, 0.1992286 , 0.44938412, 0.31160181, 0.39415525],\n",
       "       [0.609057  , 0.06530162, 0.34038615, 0.4110224 , 0.88897345],\n",
       "       [0.26367272, 0.91465639, 0.41003175, 0.73410352, 0.41883986],\n",
       "       [0.97939391, 0.72172377, 0.66724495, 0.85065358, 0.45096523],\n",
       "       [0.54450084, 0.18218651, 0.43466987, 0.64268227, 0.1599792 ]])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.random((10, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "5d92312f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3.88449844, 3.6661631 , 3.59733329, 3.08941796, 4.87814302],\n",
       "       [4.78096781, 3.79271521, 3.90736082, 3.59564789, 4.5084084 ],\n",
       "       [3.13790701, 3.44696747, 4.47669217, 4.117149  , 3.87760461],\n",
       "       [3.17824606, 4.03168781, 4.98531838, 4.88903087, 4.11383234],\n",
       "       [4.99933366, 4.20137447, 3.42183138, 4.42738179, 4.67830499],\n",
       "       [4.57518887, 3.41952147, 4.23534162, 3.487817  , 3.96705588],\n",
       "       [4.57199656, 3.66327095, 4.85430964, 4.55717482, 3.05541982],\n",
       "       [4.32557686, 4.39849834, 3.927816  , 3.56384364, 3.23128139],\n",
       "       [4.93974699, 3.8193401 , 3.00738533, 4.03643763, 4.93223906],\n",
       "       [4.38409703, 4.14804049, 3.55419178, 3.80526351, 4.88804211]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.uniform(3, 5, size=(10, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "9d8ce90d",
   "metadata": {},
   "outputs": [],
   "source": [
    "values = [1, 2, 3, 4, 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "9fc3762f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[4, 3, 5, 3, 4, 1],\n",
       "       [4, 1, 2, 5, 4, 4],\n",
       "       [2, 3, 1, 4, 3, 4],\n",
       "       [3, 4, 2, 5, 3, 5]])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.choice(values, size=(4, 6))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a40e4e38",
   "metadata": {},
   "source": [
    "Pełzający żółw w \"natywnym\" `numpy`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "e9bc4903",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 0\n",
    "b = 1\n",
    "alpha = np.radians(45)\n",
    "steps = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "605732ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.36908116, 0.1936132 , 0.04579951, 0.93996067, 0.65663221,\n",
       "       0.07571762, 0.20333066, 0.35426289, 0.58527696, 0.21803964,\n",
       "       0.36554484, 0.41277894, 0.16288103, 0.5971204 , 0.37649953,\n",
       "       0.01717274, 0.29187046, 0.076426  , 0.38604361, 0.64753778,\n",
       "       0.90402501, 0.36914535, 0.36854874, 0.16443463, 0.25953016,\n",
       "       0.45353868, 0.11905569, 0.90871262, 0.84852634, 0.58545922,\n",
       "       0.60382332, 0.67055981, 0.90005003, 0.64286783, 0.41644692,\n",
       "       0.6664638 , 0.08291349, 0.88236944, 0.90147155, 0.15119053,\n",
       "       0.97042083, 0.14861068, 0.30597997, 0.68299858, 0.50580961,\n",
       "       0.64693832, 0.80457746, 0.97670416, 0.05455737, 0.88629427,\n",
       "       0.89983315, 0.91006512, 0.44327931, 0.49376976, 0.97113321,\n",
       "       0.91997578, 0.3436502 , 0.63006108, 0.58895678, 0.12271118,\n",
       "       0.14549831, 0.36660861, 0.93593915, 0.80546009, 0.45090842,\n",
       "       0.37718364, 0.05059252, 0.22474806, 0.33768223, 0.27845151,\n",
       "       0.44850856, 0.68066991, 0.22233966, 0.48302544, 0.75479769,\n",
       "       0.31383613, 0.92277904, 0.3852641 , 0.63624537, 0.84641859,\n",
       "       0.71264474, 0.65728748, 0.91920734, 0.93233712, 0.77846272,\n",
       "       0.92488269, 0.59578128, 0.96938419, 0.32892313, 0.38780116,\n",
       "       0.32019155, 0.18678927, 0.83822682, 0.00221273, 0.23302132,\n",
       "       0.28771413, 0.29254286, 0.52376757, 0.30167938, 0.96006386])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distances = np.random.uniform(a, b, steps)\n",
    "distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "b522a6fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "step_angles = np.random.uniform(-alpha, alpha, steps)\n",
    "angles = step_angles.cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "0caf6166",
   "metadata": {},
   "outputs": [],
   "source": [
    "dx = np.cos(angles) * distances\n",
    "dy = np.sin(angles) * distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "32aa32b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dx.cumsum(), dy.cumsum(), color=\"black\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7632657",
   "metadata": {},
   "source": [
    "## Wyznaczanie $\\pi$ z użyciem losowości"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc350852",
   "metadata": {},
   "source": [
    "Rozważmy koło o promieniu $1$ o środku w $(0, 0)$ i kwadrat $[-1, 1] \\times [-1, 1]$ opisany na kole."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb3603b0",
   "metadata": {},
   "source": [
    "Losujemy punkt wewnątrz kwadratu poprzez wylosowanie pary współrzędnych z przedziału $[-1, 1]$.\n",
    "\n",
    "Prawdopodobieństwo, że wylosowany punkt jest punktem na kole to stosunek pola koła do pola kwadratu, czyli $\\frac{\\pi}{4}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e3cab79",
   "metadata": {},
   "source": [
    "Jeśli potrafimy oszacować to prawdopodobieństwo, to potrafimy przybliżyć $\\frac{\\pi}{4}$, a więc również $\\pi$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18930879",
   "metadata": {},
   "source": [
    "Frekwentystyczna interpretacja prawdopodobieństwa: jeśli zdarzenie zachodzi z prawdopodobieństwem $p$ i wykonujemy $n$ prób, oczekujemy $p \\cdot n$ zdarzeń.\n",
    "\n",
    "Odwracając: jeśli na $n$ prób zdarzenie zaszło $m$ razy, to szacujemy jego prawdopodobieństwo jako $m/n$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8045822e",
   "metadata": {},
   "source": [
    "Losowanie 5 punktów w kwadracie z użyciem `numpy`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "c41f9972",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.44408108, -0.90578102, -0.84413127, -0.75664794,  0.47162189],\n",
       "       [ 0.44928192, -0.06406164, -0.18679197,  0.95318779, -0.58643079]])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "points = np.random.uniform(-1, 1, size=(2, 5)) # kolumna to punkt\n",
    "points"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4023d0bb",
   "metadata": {},
   "source": [
    "Punkt, które wpadły w koło:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "77583014",
   "metadata": {},
   "outputs": [],
   "source": [
    "in_circle = (points ** 2).sum(axis=0) <= 1\n",
    "k = in_circle.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "c3641fde",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pi ≈ 3.2\n"
     ]
    }
   ],
   "source": [
    "print(\"pi ≈\", 4 * k / 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03070b90",
   "metadata": {},
   "source": [
    "Więcej punktów:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "d6117676",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pi ≈ 3.1392\n"
     ]
    }
   ],
   "source": [
    "n = 10000\n",
    "points = np.random.uniform(-1, 1, size=(2, n))\n",
    "in_circle = (points ** 2).sum(axis=0) <= 1\n",
    "k = in_circle.sum()\n",
    "print(\"pi ≈\", 4 * k / n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "96c0603b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(points[0], points[1], c=in_circle, s=1)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "861a9cc9",
   "metadata": {},
   "source": [
    "Teraz jako funkcja:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "a18408be",
   "metadata": {},
   "outputs": [],
   "source": [
    "def approx_pi(n):\n",
    "    points = np.random.uniform(-1, 1, size=(2, n))\n",
    "    return np.sum((points ** 2).sum(axis=0) <= 1) * 4 / n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "769dd952",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.4"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "approx_pi(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "da4c7e33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.168"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "approx_pi(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "cfb3b114",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.14292"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "approx_pi(100000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "978a085a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.1418492"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "approx_pi(100000000) # ostrożnie z liczbą zer"
   ]
  }
 ],
 "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": "3.11.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
