{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Na dnešní lekci si do virtuálního prostředí nainstalujte následující balíčky:\n", "\n", "```console\n", "$ python -m pip install --upgrade pip\n", "$ python -m pip install notebook numpy scipy imageio matplotlib pillow\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mezitím, co se to bude instalovat, si stáhněte do adresáře `static` tyto soubory:\n", "\n", "* [python.jpg](static/python.jpg)\n", "* [sample.wav](static/sample.wav)\n", "* [secret.png](static/secret.png)\n", "\n", "A až bude nainstalováno, spusťte si nový Notebook. (Viz [lekce o Notebooku](../notebook/).)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# NumPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NumPy je základní knihovna pro vědce a analytiky, kteří pracují s Pythonem. Definuje typ pro *n*-rozměrné homogenní pole (nejčastěji čísel) a API pro práci s takovým polem.\n", "\n", "Téměř všechny knihovny, kde se objevují větší matice či tabulky, jsou buď postavené na NumPy, nebo podporují `numpy.array`: od `pandas` pro datovou analýzu a `matplotlib` pro grafy, přes `scipy`, kde najdete základní algoritmy pro interpolaci, integraci aj., astrofyzikální `astropy`, `librosa` pro analýzu hudby, až po integraci v knihovnách jako `Pillow` nebo `Tensorflow`. \n", "\n", "Podobně jako „Djangonauti” kolem webového frameworku Django tvoří vědci a datoví analytici podskupinu pythonní komunity s vlastními konferencemi (PyData), organizacemi (NumFocus, Continuum Analytics) a knihovnami jako NumPy, Pandas, SciPy, Matplotlib či Astropy. Potřeby této komunity se samozřejmě odrážejí i v Pythonu samotném (např. `...` a `@`, které si ukážeme dále, byly do jazyka přidány pro ulehčení výpočtů) a naopak (na rozdíl od specializovaných jazyků jako R nebo Matlab se tu stále indexuje od nuly). Většina těchto knihoven ale má jednu zvláštnost, kterou ve zbytku pythonního světa tolik nevidíme: důraz na použití v interaktivním režimu.\n", "\n", "\n", "## Nejednoznačnost a zkratky\n", "\n", "Čísla můžeme buď prozkoumávat, hrát si s nimi, zjišťovat zajímavé souvislosti; anebo můžeme připravovat programy, které nějaké výpočty provedou automaticky.\n", "Na obojí se používají podobné nástroje.\n", "Automaticky pouštěné skripty musí být samozřejmě robustní. Nástroje ke zkoumání dat ale bývají přívětivé k vědcům, často na úkor robustnosti nebo „dobrých programátorských mravů”. Například některé funkce tak trochu „hádají”, co uživatel chtěl, a v tutoriálech se setkáte se zkratkami jako `import numpy as np` či dokonce `from numpy import *`.\n", "\n", "Toto je kurz programovací, kde nám záleží více na znovupoužitelném kódu než na jednom konkrétním výsledku. Budeme proto preferovat explicitní a jednoznačné operace. Ty jsou v použitých knihovnách vždy vedle zkratek k dispozici a popsány v dokumentaci.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jak s polem pracovat? Nejprve si ho vytvoříme, nejlépe ze seznamu čísel:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy\n", "array = numpy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Každé pole má dvě základní, neměnné vlastnosti: *tvar* (`shape`), neboli velikost, a *datový typ* (`dtype`)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3, 3)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array.shape" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "dtype('int64')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array.dtype" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tvar je *n*-tice, kde *n* je počet dimenzí pole; `shape=(3, 3) dtype='int64'` znamená pole 3×3 celých čísel.\n", "Dimenzí může být libovolně mnoho, např. trojrozměrnou matici můžeme vytvořit z trojnásobně vnořených seznamů a NumPy ji „rozumně” vypíše:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2, 2, 2)\n" ] }, { "data": { "text/plain": [ "array([[[1, 2],\n", " [3, 4]],\n", "\n", " [[5, 6],\n", " [7, 8]]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube = numpy.array([[[1, 2], [3, 4]], [[5, 6], [7, 8]]])\n", "print(cube.shape)\n", "cube" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Základní operace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Základní vlastnost NumPy polí je to, že aritmetické operace se skalárními hodnotami (např. čísly) fungují po prvcích." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 2],\n", " [3, 4, 5],\n", " [6, 7, 8]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array - 1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.5, 1. , 1.5],\n", " [2. , 2.5, 3. ],\n", " [3.5, 4. , 4.5]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array / 2" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1, -2, -3],\n", " [ 0, -1, -2],\n", " [-3, 0, -1]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "-(array % 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kromě aritmetických operací takto funguje i porovnávání. Následujícím výrazem dostanete *pravdivostní tabulku*, která má `True` na místech, kde pro příslušný prvek platí podmínka:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False],\n", " [False, False, True],\n", " [ True, True, True]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array > 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Protože Python neumožňuje předefinovat chování operátorů `and` a `or`, logické spojení operací se tradičně dělá přes bitové operátory `&` (a) a `|` (nebo). Ty mají ale neintuitivní prioritu, proto se jednotlivé výrazy hodí uzavřít do závorek:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False],\n", " [ True, True, True],\n", " [False, False, False]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(array > 3) & (array < 7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operace s jinými poli pracují po prvcích. Obě pole musí být stejně velké." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([[ 2, 4, 6],\n", " [ 8, 10, 12],\n", " [14, 16, 18]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array + array" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 2, 0],\n", " [4, 0, 6],\n", " [0, 8, 0]])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * numpy.array([[0, 1, 0], [1, 0, 1], [0, 1, 0]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sekvence (jako seznamy) jsou před operací převedeny na pole." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([[0, 2, 0],\n", " [4, 0, 6],\n", " [0, 8, 0]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * [[0, 1, 0], [1, 0, 1], [0, 1, 0]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Indexování" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NumPy pole jde různými způsoby indexovat. Základní způsoby známe už ze samotného Pythonu – pole se chová jako sekvence menších polí:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 3])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0:-1]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0][1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Na rozdíl od Pythonu se ale dá vícerozměrné pole indexovat přímo *n*-ticí. Toto je dokonce preferovaný způsob – přehlednější a mnohem rychlejší:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0, 1]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2, 3],\n", " [5, 6]])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0:-1, 1:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chceme-li vybrat určitý sloupec, řekneme si „kompletním intervalem“ (`:`) o všechny řádky:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([3, 6, 9])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[:, 2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Další způsob specifický pro NumPy je indexování pravdivostní tabulkou.\n", "\n", "Když potřebujete z matice vybrat prvky, pro které platí nějaká podmínka, napřed si vytvořte pole hodnot `True`/`False`:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[False, False, False],\n", " [False, True, True],\n", " [ True, True, True]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array > 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To pak použijte jako index:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5, 6, 7, 8, 9])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[array > 4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Výsledek je jednorozměrný – informace o původních pozicích prvků se ztratí." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pro úplnost uvedu ještě dva způsoby indexování. První je seznamem indexů, kterým můžete vybírat, přehazovat nebo i duplikovat konkrétní řádky:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [7, 8, 9],\n", " [4, 5, 6],\n", " [4, 5, 6]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[[0, 2, 1, 1]] # Řádky 0, 2, 1 a 1" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[3, 3, 1, 1],\n", " [6, 6, 4, 4],\n", " [9, 9, 7, 7]])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[:, [2, 2, 0, 0]] # Podobně pro sloupce" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Druhý je indexování pomocí *n*-tice „řádkových souřadnic“ a *n*-tice odpovídajících „sloupcových souřadnic“:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2, 6, 7])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[(0, 1, 2), (1, 2, 0)] # Vybere prvky (0, 1), (1, 2), (2, 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Trochu specifické je indexování vícerozměrných polí. U nich se často využije „kompletní interval“ (`:`):" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[1, 2],\n", " [3, 4]],\n", "\n", " [[5, 6],\n", " [7, 8]]])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2],\n", " [3, 4]])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube[0, :, :] # První „vrstva“ - to samé jako cube[0]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2],\n", " [5, 6]])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube[:, 0, :] # První řádky - to samé jako cube[:, 0]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 3],\n", " [5, 7]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube[:, :, 0] # První sloupce" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Má-li pole hodně rozměrů, je psaní spousty `:,` zdlouhavé a nepřehledné. Existuje proto speciální hodnota `...` (`Ellipsis`), která doplní tolik „kompletních intervalů“ (`:`), aby souhlasil počet dimenzí:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "array([[1, 3],\n", " [5, 7]])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cube[..., 0] # První sloupce – ekvivalent [:, :, 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Broadcasting a změny" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Už jsme si ukázali, že aritmetické operace se skalárními hodnotami se provede pro všechny prvky, zatímco operace mezi dvěma stejně velkými poli se provede po prvcích:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 3, 6, 9],\n", " [12, 15, 18],\n", " [21, 24, 27]])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * 3" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 2, 0],\n", " [4, 0, 6],\n", " [0, 8, 0]])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * [[0, 1, 0], [1, 0, 1], [0, 1, 0]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jak je to ale s různě velkými poli?\n", "\n", "Nemá-li sekvence, se kterou pracujeme, dost dimenzí, poslední dimenze se „rozšíří“, jako bychom pracovali v každém sloupci se skalární hodnotou. Tomuto „rozšiřování” se obecně říká *broadcasting*." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 2, 3],\n", " [4, 5, 6],\n", " [7, 8, 9]])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 2, 30],\n", " [ 0, 5, 60],\n", " [ 0, 8, 90]])" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * [0, 1, 10] # vynásobí 1. sloupec nulou, 2. jedničkou, 3. deseti" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podobné rozšiřování nastane, má-li některá dimenze velikost 1:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 0, 0],\n", " [ 4, 5, 6],\n", " [70, 80, 90]])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array * [[0], [1], [10]] # vynásobí 1. *řádek* nulou, atd." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jednotlivé hodnoty v poli lze měnit:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[123, 2, 3],\n", " [ 4, 5, 6],\n", " [ 7, 8, 9]])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0, 0] = 123\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...a i na měnění se vztahuje *broadcasting*:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[123, 123, 123],\n", " [ 4, 5, 6],\n", " [ 7, 8, 9]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[0] = 123\n", "array" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[123, 123, 123],\n", " [123, 123, 123],\n", " [123, 123, 123]])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[:] = 123\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obecně platí, že lze-li něčím vybírat prvky, lze tím i pole měnit:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[123, 0, 123],\n", " [ 0, 123, 123],\n", " [123, 123, 0]])" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array[(1, 2, 0), (0, 2, 1)] = 0\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Další způsob, jak pole měnit, je rozšířeným přiřazením." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[246, 0, 246],\n", " [ 0, 246, 246],\n", " [246, 246, 0]])" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array *= 2\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tato operace není totéž co `array = array * 2`, ačkoli má stejný výsledek.\n", "\n", "`array *= 2` změní existující pole, zatímco `array = array * 2` vytvoří *nové* pole, které pak přiřadí do původní proměnné.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pozor na to, že není možné měnit typ pole:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chyba!! No loop matching the specified signature and casting was found for ufunc true_divide\n" ] } ], "source": [ "try:\n", " array /= 2\n", "except Exception as e:\n", " print(\"Chyba!!\", type(e), e)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tvoření matic, část 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Časté druhy matic se dají vytvořit pomocí pomocných funkcí. Výsledky se dají použít přímo nebo naplnit vypočítanými daty:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0., 0., 0., 0.],\n", " [0., 0., 0., 0.],\n", " [0., 0., 0., 0.],\n", " [0., 0., 0., 0.]])" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.zeros((4, 4))" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1., 1., 1., 1.],\n", " [1., 1., 1., 1.],\n", " [1., 1., 1., 1.],\n", " [1., 1., 1., 1.]])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.ones((4, 4))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[12.34, 12.34, 12.34, 12.34],\n", " [12.34, 12.34, 12.34, 12.34],\n", " [12.34, 12.34, 12.34, 12.34],\n", " [12.34, 12.34, 12.34, 12.34]])" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.full((4, 4), 12.34)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1., 0., 0., 0.],\n", " [0., 1., 0., 0.],\n", " [0., 0., 1., 0.],\n", " [0., 0., 0., 1.]])" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.eye(4) # Jednotková matice (je čtvercová – n×n)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1, 0, 0, 0],\n", " [0, 2, 0, 0],\n", " [0, 0, 3, 0],\n", " [0, 0, 0, 4]])" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.diag([1, 2, 3, 4]) # Diagonální matice" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "U těchto funkcí lze obecně použít argument `dtype`, kterým specifikujeme datový typ:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "int8\n" ] }, { "data": { "text/plain": [ "array([[0, 0, 0, 0],\n", " [0, 0, 0, 0],\n", " [0, 0, 0, 0],\n", " [0, 0, 0, 0]], dtype=int8)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "int_zeros = numpy.zeros((4, 4), dtype='int8')\n", "print(int_zeros.dtype)\n", "int_zeros" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Další funkce tvoří jednorozměrné matice. Základní je `arange`, která bere stejné argumenty jako `range` v Pythonu:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,\n", " 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n", " 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49])" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.arange(50) # Celočíselné – argumenty jako range() v Pythonu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Navíc umí pracovat s reálnými čísly (`float`). Pozor ale na to, že reálná čísla jsou *nepřesná*! `arange` k začátku sekvence postupně přičítá „krok”, takže chyba narůstá celkem rychle:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "49.799999999999997" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.arange(0.0, 50.0, 0.3)[-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "V krajních případech takto dokonce můžeme dostat pole jiné *velikosti*, než jsme zamýšleli. Proto `arange` používejte jen pro celá čísla; pro reálná je tu `linspace`, která bere začátek a konec intervalu, plus počet prvků:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0., 5., 10., 15., 20., 25., 30., 35., 40., 45., 50.])" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.linspace(0, 50, num=11) # vždy 11 prvků" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reshape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ačkoli indexování polí v NumPy je dost mocné, v paměti jsou jednotlivé hodnoty reprezentovány jako (metadata a) jednorozměrné pole, známé z jazyka C (ačkoli samotné rozmístění prvků může být jiné než po řádcích, jak jsme zvyklí u C).\n", "\n", "Je jednoduché změnit tvar pole, nezmění-li se tím celkový počet prvků:" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11])" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array = numpy.arange(12)\n", "array" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 1, 2, 3],\n", " [ 4, 5, 6, 7],\n", " [ 8, 9, 10, 11]])" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reshaped = array.reshape((3, 4))\n", "reshaped" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pozor na to, že `reshape` sice vrací nový objekt, ale může (ale nemusí!) to být jen nový *pohled* na existující data. Změny v pohledu se projeví i v původním poli:" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 1, 2, 3],\n", " [ 4, 5, 6, 7],\n", " [ 8, 9, -99, 11]])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reshaped[2, 2] = -99\n", "reshaped" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -99, 11])" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podobně tvoří pohledy i jednoduché indexování:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 1, -99, -99, 4, 5, 6, 7, 8, 9, -99, 11])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a_slice = array[2:4]\n", "a_slice[:] = -99, -99\n", "\n", "array" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Potřebujete-li kopii dat, použijte metodu `copy`:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 1, -99, -99],\n", " [ 4, 5, 6, 7],\n", " [ 8, 9, -99, 11]])" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array.reshape((3, 4)).copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podobně jako `reshape` funguje transpozice, což je tak častá operace, že má jednopísmennou zkratku – atribut `T`. (Tohle hodně napomáhá tomu, že zápis maticových výpočtů v NumPy se podobá odpovídajícím matematickým vzorcům.)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 4, 8],\n", " [ 1, 5, 9],\n", " [-99, 6, -99],\n", " [-99, 7, 11]])" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reshaped.T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Až budete NumPy zkoušet, doporučuji si u nových funkcí najít, zda tvoří nová pole, vracejí pohled nebo modifikují původní pole. U některých funkcí najdete pojmenovaný argument `inplace` (modifikuje původní pole), případně `out`, („naplní“ jiné, existující pole)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Datové typy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jak už bylo řečeno, matice v NumPy mají určené datové typy. Ty jdou nastavit ve většině funkcí, které matice tvoří, argumentem `dtype`:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0])" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.zeros(4, dtype=int)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0., 0., 0., 0.])" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.zeros(4, dtype=float)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([False, False, False, False])" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.zeros(4, dtype=bool)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nejobecnější typ je `object` (jehož použitím ale přicházíme o většinu výhod NumPy)." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 1.3, 'foobar'], dtype=object)" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.array([0, 1.3, \"foobar\"], dtype=object)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kromě pythonních typů bere `dtype` i řetězcové specifikace typu:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1, 8, -12], dtype=int8)" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.array([1, 8, 500], dtype='int8') # 8bitové celé číslo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Znáte-li modul [`array`](https://docs.python.org/3/library/array.html) ze standardní knihovny, můžete jeho specifikaci použít i tady:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0], dtype=uint32)" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "numpy.zeros(4, dtype=' The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()\n" ] } ], "source": [ "try:\n", " if numpy.eye(3):\n", " pass\n", "except ValueError as e:\n", " print(\"Chyba!\", type(e), e)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Musíme říct přesně, co chceme." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Alespoň jeden prvek je nenulový\n", "Pole obsahuje nějaké prvky\n" ] } ], "source": [ "if numpy.eye(3).any():\n", " print('Alespoň jeden prvek je nenulový')\n", "if numpy.eye(3).all():\n", " print('Všechny prvky jsou nenulové')\n", "if numpy.eye(3).size:\n", " print('Pole obsahuje nějaké prvky')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Z historických důvodů existují dvě výjimky: pole s právě jedním prvkem má pravdivostní hodnotu podle daného prvku a prázdné pole je „nepravdivé“:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ano\n" ] } ], "source": [ "if numpy.ones((1, 1, 1, 1)):\n", " print('Ano')\n", "if numpy.zeros((1, 1, 1, 1)):\n", " print('Ne')" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n" ] } ], "source": [ "if numpy.ones((0, 0)):\n", " print('Ano')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Další operace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Modul `numpy` obsahuje spoustu základních funkcí, které pracují s maticemi; mimo jiné většinu funkcií z pythonního modulu `math`. Oproti `math` zvládají funkce z NumPy *broadcasting*." ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.00314474, 0.00628947, 0.00943421, 0.01257895,\n", " 0.01572369, 0.01886842, 0.02201316, 0.0251579 , 0.02830264])" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "array = numpy.linspace(0, numpy.pi, num=1000)\n", "array[:10]" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.00314473, 0.00628943, 0.00943407, 0.01257862,\n", " 0.01572304, 0.0188673 , 0.02201138, 0.02515525, 0.02829886])" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sine = numpy.sin(array)\n", "sine[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Další operace doporučuji hledat buď v Notebooku přes tab, v dokumentaci, nebo obecně na Internetu (kde najdete i případné knihovny, které implementují operace, které v NumPy nejsou)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Příklady použití" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dost teorie. Tahle *n*-rozměrná pole se používají na spoustu zajímavých věcí. Podívejme se na některé příklady." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Matematika a grafy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jak se používají matice, jistě znáte z matematiky a cílem tohoto kurzu není vás to naučit. Ukážu ale pár ochutnávek.\n", "\n", "Použijeme knihovnu [Matplotlib](https://matplotlib.org/), která vykresluje grafy. Jak ji použít dohledáte v [dokumentaci](https://matplotlib.org/contents.html) nebo – často efektivněji – v [galerii příkladů](https://matplotlib.org/gallery/index.html).\n", "\n", "Matplotlib nemá automatickou integraci s Jupyter Notebookem, proto ji je potřeba po importu zapnout:" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot\n", "\n", "# Zapnutí integrace s notebookem – `%` je \"magický\" příkaz IPythonu, podobně jako `!` pro shell\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A teď můžeme nakreslit třeba graf funkce:" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = numpy.linspace(0, numpy.pi * 4) # definiční obor\n", "y = numpy.sin(x) # odpovídající hodnoty funkce\n", "\n", "pyplot.plot(x, y)" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s = numpy.linspace(-10, 10, num=100)\n", "\n", "# meshgrid vrátí dvě 100×100 matice:\n", "# - jednu, kde v každém řádku jsou čísla od -10 do 10,\n", "# - druhou, kde v každém sloupci jsou čísla od -10 do 10.\n", "x, y = numpy.meshgrid(s, s)\n", "\n", "# vyhodnotíme (x**2 + y**2) pro každý prvek\n", "z = x ** 2 + y ** 2\n", "\n", "# výsledek vykreslíme jako obrázek\n", "pyplot.imshow(z)\n", "\n", "# přidáme legendu\n", "pyplot.colorbar()" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ta samá data můžeme vykreslit i ve 3D\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "fig = pyplot.figure()\n", "axes = fig.gca(projection='3d')\n", "\n", "surf = axes.plot_surface(x, y, z, cmap='viridis')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Obrázky" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typický barevný obrázek není nic než matice $m \\times n \\times 3$ čísel: $m \\times n$ pixelů na šířku a výšku a 3 kanály pro červenou, zelenou a modrou barvu.\n", "\n", "Knihovna `pillow` (nástupce knihovny PIL, který se stále importuje jako PIL) obsahuje nástroje na práci s obrázky, např. „nakresli čáru“ nebo „převeď na černobílý obrázek“ nebo „načti PNG“. Není postavena přímo na NumPy, ale umí obrázky převádět z a na NumPy pole, pokud máme NumPy nainstalované.\n", "\n", "Knihovna `imageio` slouží k načítání a ukládání různých (njen obrázkových) formátů do/z NumPy matic.\n", "\n", "Nás bude zajímat funkce `imageio.imread`, která pomocí Pillow/PIL načte obrázek jako 3D matici 8bitových čísel. Já načtu obrázek hada, vy najděte na internetu jakýkoli RGB obrázek a načtěte si ten.\n", "\n", "*Použitý obrázek je stažený [z Wikimedia Commons](https://commons.wikimedia.org/wiki/File:Ball_python_lucy.JPG) a je pod licencí [CC-BY-SA 3.0](https://creativecommons.org/licenses/by-sa/3.0/deed.en). Autor je uživatel [Mokele](https://en.wikipedia.org/wiki/User:HCA) na [anglické Wikipedii](https://en.wikipedia.org/wiki/).*" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Array([[[172, 173, 165],\n", " [173, 174, 166],\n", " [173, 174, 168],\n", " ...,\n", " [172, 171, 167],\n", " [173, 172, 168],\n", " [173, 172, 168]],\n", "\n", " [[175, 176, 168],\n", " [174, 175, 167],\n", " [172, 173, 167],\n", " ...,\n", " [172, 171, 167],\n", " [173, 172, 168],\n", " [174, 173, 169]],\n", "\n", " [[176, 177, 169],\n", " [174, 175, 167],\n", " [171, 172, 166],\n", " ...,\n", " [173, 172, 168],\n", " [173, 172, 168],\n", " [172, 171, 167]],\n", "\n", " ...,\n", "\n", " [[209, 211, 206],\n", " [210, 212, 207],\n", " [211, 213, 208],\n", " ...,\n", " [202, 203, 197],\n", " [200, 201, 195],\n", " [200, 201, 195]],\n", "\n", " [[208, 210, 205],\n", " [209, 211, 206],\n", " [209, 211, 206],\n", " ...,\n", " [202, 203, 197],\n", " [202, 203, 197],\n", " [203, 204, 198]],\n", "\n", " [[207, 209, 204],\n", " [209, 211, 206],\n", " [210, 212, 207],\n", " ...,\n", " [201, 202, 196],\n", " [201, 202, 196],\n", " [201, 202, 196]]], dtype=uint8)" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import imageio\n", "img = imageio.imread('static/python.jpg')\n", "img" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pomocí nám už známé knihovny `matplotlib` takovou matici můžeme zobrazit:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.imshow(img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podívejme se teď na strukturu matice:" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(887, 1037, 3)" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "img.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "První rozměr jsou řádky (y); můj obrázek je 887 pixelů vysoký. Druhý jsou sloupce (x); tento obrázek má na šířku 1037 px.\n", "Třetí rozměr jsou barevné kanály." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pomocí indexování se můžeme na jednotlivé barevné kanály dostat: je to poslední index, takže řádky a sloupce nahradíme buď dvěma kompletními intervaly (`:, :`) nebo vynechávkou (`...`). Červený kanál tedy bude `[..., 1]`, modrý `[..., -1]`.\n", "\n", "Zobrazení chceme černobílé; na to má matplotlib pojmenovaný argument `cmap`. Výchozí způsob obarvování je vhodný spíše pro grafy funkcí." ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "blue_channel = img[..., -1]\n", "pyplot.imshow(blue_channel, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zajímavé využití obrázku jako matice je steganografie: ukrytí informace v obrazových datech.\n", "\n", "Načteme jiný obrázek stejné velikosti, tentokrát černobílý (s módem `L`). Informace v něm schováme do posledního bitu modrého kanálu." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "secret = imageio.imread('static/secret.png', pilmode='L')\n", "\n", "img[..., -1] = (img[..., -1] & 0b11111110) + (secret.astype(bool))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obrázek vypadá na první pohled stejně..." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.imshow(img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... ale v posledím modrém bitu se skrývá tajná informace." ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.imshow(img[..., -1] & 1, cmap='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Výsledek je dobré uložit v bezztrátovém formátu (PNG), aby se informace neztratila:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "imageio.imsave('python.png', img)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zvuk" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jako pole lze reprezentovat i zvukový záznam. Mám záznam, na kterém zkouším zpívat; pomocí funkce `scipy.io.wavfile` ho můžu načíst jako NumPy pole:" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "48000\n" ] }, { "data": { "text/plain": [ "array([[ -58, -88],\n", " [ -65, -49],\n", " [ 56, -18],\n", " ...,\n", " [ 1, 231],\n", " [ -85, 234],\n", " [-118, 212]], dtype=int16)" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import scipy.io.wavfile\n", "sample_rate, sound = scipy.io.wavfile.read('static/sample.wav')\n", "print(sample_rate)\n", "sound" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zvuk je stereo, má dvě stopy; jednu z nich si vykreslím:" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "channel = sound[..., 1]\n", "pyplot.plot(channel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Případně můžu využít možností Jupyter Notebooku a HTML a zvuk si přehrát:" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(Zkuste si to sami; tento print vymažte)\n" ] } ], "source": [ "from IPython.display import Audio\n", "Audio(data=channel, rate=sample_rate)\n", "print('(Zkuste si to sami; tento print vymažte)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Podívám se na detail první „noty”, kde je patrná vlna s nějakou frekvencí:" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "segment = channel[50000:55000]\n", "pyplot.plot(segment)" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Audio\n", "Audio(data=segment, rate=sample_rate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jaká to je frekvence? Znáte-li analýzu signálů, tušíte, že na podobné otázky odpovídá Fourierova transformace.\n", "NumPy obsahuje diskrétní Fourierovu transformaci v modulu `numpy.fft` spolu s funkcí, která spočítá odpovídající frekvence v Hz:" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = numpy.fft.fft(segment)\n", "freqs = numpy.fft.fftfreq(len(spectrum), 1/sample_rate)\n", "pyplot.xlabel('Frekvence (Hz)')\n", "pyplot.plot(freqs, numpy.abs(spectrum))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "V tomto grafu hledám maximum. Můžu se zaměřit na prvních pár hodnot spektra:" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.xlabel('Frekvence (Hz)')\n", "pyplot.plot(freqs[:100], numpy.abs(spectrum[:100]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maximum je někde kolem 120 Hz; abych to zjistil přesně, použiji funkci `argmax`:" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "13" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" } ], "source": [ "amax = numpy.argmax(abs(spectrum))\n", "amax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... a najdu odpovídající frekvenci:" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "124.80000000000001" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "freqs[amax]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Což je podle [seznamu not](https://en.wikipedia.org/wiki/Piano_key_frequencies) skoro H$_2$ (123,5 Hz)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }