{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[SciPy](http://scipy.org/scipylib/index.html) je základní referenční knihovnou, obsahující nástroje pro vědecké výpočty. Najdeme v ní např. speciální funkce, interpolace, Fourierovu transformaci, numerické integrátory a mnohé další. Naším cílem bude ukázat některé z funkcí SciPy.\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tento notebook byl z (velké) části převzat a přeložen z J.R. Johansson: [Lectures on scientific computing with Python](http://github.com/jrjohansson/scientific-python-lectures) - díky."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Přehled SciPy\n",
"\n",
"SciPy staví na NumPy a poskytuje mnoho funkcí \"vyšší úrovně\" pro vědecké výpočty. Ve SciPy je asi dvacet modulů, každý z těchto modulů obsahuje mnoho funkcí a/nebo tříd pro danou oblast."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import IFrame\n",
"IFrame('http://docs.scipy.org/doc/scipy/reference/index.html', 900, 450)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import SciPy"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"# toto už známe\n",
"# budeme potřebovat numpy a matplotlib\n",
"%pylab inline --no-import-all"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# toto je typický import scipy\n",
"import scipy as sp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Něco na zahřátí -- speciální funkce\n",
"\n",
"Speciální funkce jsou často řešením vědeckých úloh. Jejich implementace je v mnoha případech poměrně náročná. Proto existují knihovny jako je `scipy.special`: http://docs.scipy.org/doc/scipy/reference/special.html#module-scipy.special. \n",
"\n",
"Podíváme se např. na Besselovy funkce."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import scipy.special"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Jednoduché vyčíslení funkcí s daným vstupem."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"J_0(0.000000) = 1.000000\n",
"Y_0(1.000000) = 0.088257\n"
]
}
],
"source": [
"n = 0 # order\n",
"x = 0.0\n",
"\n",
"# Bessel function of first kind\n",
"print(\"J_%d(%f) = %f\" % (n, x, sp.special.jn(n, x)))\n",
"\n",
"x = 1.0\n",
"# Bessel function of second kind\n",
"print(\"Y_%d(%f) = %f\" % (n, x, sp.special.yn(n, x)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Funkce jsou samozřejmě vektorové, pomocí `matplotlib` si jednoduše nakreslíme graf."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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