chebpy/chebpy

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docs/notebook-getting-started.ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from chebpy import chebfun"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# optional plot settings\n",
    "import matplotlib\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(font_scale=1.5)\n",
    "sns.set_style(\"whitegrid\")\n",
    "sns.set_palette(\"deep\")\n",
    "matplotlib.rc(\"figure\", figsize=(9, 5), dpi=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function ``chebfun`` behaves in essentially the same way as its MATLAB counterpart. A good way to begin is to type:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chebfun column (1 smooth piece)\n",
       "       interval       length     endpoint values\n",
       "[       0,      10]        2         0       10\n",
       "vertical scale =  10"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = chebfun(\"x\", [0, 10])\n",
    "x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What's happened here is we've instantiated a numerical representation of the identity function on the interval `[0,10]` and assigned this to a computer variable `x`. This particular representation has length 2, meaning that it is a degree one polynomial defined via two degrees of freedom (as you would expect of a linear function).\n",
    "\n",
    "An intuitive set of composition-like operations can now be performed. For instance here is the specification of a function `f` that oscillates with two modes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chebfun column (1 smooth piece)\n",
       "       interval       length     endpoint values\n",
       "[       0,      10]       58   8.9e-16    -0.81\n",
       "vertical scale =   2"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = np.sin(x) + np.sin(5 * x)\n",
    "f"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The zeros of f can be computed via `roots`, which behind the scenes is implemented via a recursive subdivision algorithm in which a number of Colleague Matrix eigenvalue sub-problems are solved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.78539816, 1.04719755, 2.0943951 , 2.35619449,\n",
       "       3.14159265, 3.92699082, 4.1887902 , 5.23598776, 5.49778714,\n",
       "       6.28318531, 7.06858347, 7.33038286, 8.37758041, 8.6393798 ,\n",
       "       9.42477796])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r = f.roots()\n",
    "r"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default ChebPy computations are accurate to machine precision, or approximately fifteen digits in double-precision arithmetic (see also the `UserPrefs` interface [here](./implementation.ipynb)).\n",
    "\n",
    "We can verify this for the computed roots of `f` by typing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 8.88178420e-16, -4.44089210e-16,  1.11022302e-16,  6.66133815e-16,\n",
       "       -6.66133815e-16, -4.44089210e-16,  8.88178420e-16,  7.77156117e-16,\n",
       "        1.91513472e-15, -3.60822483e-16,  2.22044605e-15,  1.01307851e-15,\n",
       "       -3.21964677e-15, -4.32986980e-15, -1.85962357e-15, -5.32907052e-15])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(r)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function and its roots can be plotted together as follows:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = f.plot(linewidth=3)\n",
    "ax.plot(r, f(r), \".r\", markersize=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculus operations are natively possible with Chebfun objects. For example here is the derivative and indefinite integral of `f`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Df = f.diff()\n",
    "If = f.cumsum()\n",
    "f.plot(linewidth=3)\n",
    "Df.plot(linewidth=3)\n",
    "If.plot(linewidth=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can verify analytically that the exact value of the definite integral here is `1.2 - cos(10) - 0.2cos(50)`.\n",
    "\n",
    "This matches our numerical integral (via Clenshaw-Curtis quadrature), which is computable in ChebPy via the `sum` command."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "analytical : I=1.8460783233780296\n",
      "    ChebPy : I=1.846078323378031\n"
     ]
    }
   ],
   "source": [
    "I_ana = 1.2 - np.cos(10) - 0.2 * np.cos(50)\n",
    "I_num = f.sum()\n",
    "print(f\"analytical : I={I_ana}\")\n",
    "print(f\"    ChebPy : I={I_num}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Discontinuities\n",
    "\n",
    "Chebfun is capable of handling certain classes of mathematical nonsmoothness. For example, here we compute the pointwise maximum of two functions, which results in a 'piecewise-smooth' concatenation of twelve individual pieces (in Chebfun & ChebPy terminology this is a collection of 'Funs'). The breakpoints between the pieces (Funs) have been determined by ChebPy in the background by solving the corresponding root-finding problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chebfun column (12 smooth pieces)\n",
       "       interval       length     endpoint values\n",
       "[       0,     3.2]       32   4.4e-16    -0.36\n",
       "[     3.2,     3.9]        2     -0.36    -0.23\n",
       "[     3.9,     4.2]       14     -0.23    -0.15\n",
       "[     4.2,     5.3]        2     -0.15    0.051\n",
       "[     5.3,     5.5]       12     0.051    0.092\n",
       "[     5.5,     6.3]        2     0.092     0.27\n",
       "[     6.3,       7]       17      0.27     0.39\n",
       "[       7,     7.5]        2      0.39     0.49\n",
       "[     7.5,     8.2]       17      0.49     0.65\n",
       "[     8.2,     8.8]        2      0.65     0.77\n",
       "[     8.8,     9.3]       15      0.77     0.85\n",
       "[     9.3,      10]        2      0.85        1\n",
       "vertical scale =   2    total length = 119"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g = x / 5 - 1\n",
    "h = f.maximum(g)\n",
    "h"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here's a plot of both `f` and `g`, and their maximum, `h`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "f.plot(ax=ax, linewidth=3, linestyle=\"--\", label=\"f\")\n",
    "g.plot(ax=ax, linewidth=3, linestyle=\"--\", label=\"g\")\n",
    "h.plot(ax=ax, linewidth=3, label=\"max(f, g)\")\n",
    "ax.set_ylim([-2.5, 2.5])\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function `h` is a further Chebfun representation (Chebfun operations such as this are closures) and thus the same set of operations can be applied as normal. Here for instance is the exponential of `h` and its integral:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "integral: 22.090079782676824\n"
     ]
    }
   ],
   "source": [
    "np.exp(h).plot(linewidth=3)\n",
    "plt.show()\n",
    "print(f\"integral: {np.exp(h).sum()}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Probability distributions\n",
    "\n",
    "Here's a further example, this time related to statistics. We consider the following Chebfun representation of the standardised Gaussian distribution, using a sufficiently wide interval as to facilitate a machine-precision representation. On this occasion we utlilise a slightly different (but still perfectly valid) approach to construction whereby we supply the function handle (in this case, a Python lambda, but more generally any object in possession of a `__call__` attribute) together with the interval of definition."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def gaussian(x):\n",
    "    return 1 / np.sqrt(2 * np.pi) * np.exp(-0.5 * x**2)\n",
    "\n",
    "\n",
    "pdf = chebfun(gaussian, [-15, 15])\n",
    "ax = pdf.plot(linewidth=3)\n",
    "ax.set_ylim([-0.05, 0.45])\n",
    "ax.set_title(\"Standard Gaussian distribution (mean  0, variance 1)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The integral of any probability density function should be unity, and this is the case for our numerical approximation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "integral : 0.9999999999999998\n"
     ]
    }
   ],
   "source": [
    "print(f\"integral : {pdf.sum()}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Suppose we wish to generate quantiles of the distribution. This can be achieved as follows. First we form the cumulative distribution function,\n",
    "computed as the indefinite integral (`cumsum`) of the density:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cdf = pdf.cumsum()\n",
    "ax = cdf.plot(linewidth=3)\n",
    "ax.set_ylim([-0.1, 1.1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then it is simply a case of utilising the `roots` command to determine the standardised score (sometimes known as 'z-score') corresponding to the quantile of interest. For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "quantile    z-score \n",
      "--------------------\n",
      "  10%       -1.282\n",
      "   9%       -1.341\n",
      "   8%       -1.405\n",
      "   7%       -1.476\n",
      "   6%       -1.555\n",
      "   5%       -1.645\n",
      "   4%       -1.751\n",
      "   3%       -1.881\n",
      "   2%       -2.054\n",
      "   1%       -2.326\n"
     ]
    }
   ],
   "source": [
    "print(\"quantile    z-score \")\n",
    "print(\"--------------------\")\n",
    "for quantile in np.arange(0.1, 0.0, -0.01):\n",
    "    roots = (cdf - quantile).roots()\n",
    "    print(f\"  {quantile*100:2.0f}%       {roots[0]:+5.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other distributional properties are also computable. Here's how we can compute the first four normalised and centralised moments (Mean, Variance, Skew, Kurtosis):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    mean = -0.000000000000002\n",
      "variance = +0.999999999999995\n",
      "    skew = +0.000000000000115\n",
      "kurtosis = +2.999999999997383\n"
     ]
    }
   ],
   "source": [
    "x = pdf.x  # identity on domain of pdf\n",
    "m1 = (pdf * x).sum()\n",
    "m2 = (pdf * (x - m1) ** 2).sum()\n",
    "m3 = (pdf * (x - m1) ** 3).sum() / m2**1.5\n",
    "m4 = (pdf * (x - m1) ** 4).sum() / m2**2\n",
    "print(\"    mean = {:+.15f}\".format(m1))\n",
    "print(\"variance = {:+.15f}\".format(m2))\n",
    "print(\"    skew = {:+.15f}\".format(m3))\n",
    "print(\"kurtosis = {:+.15f}\".format(m4))"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "pygments_lexer": "ipython3",
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 },
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}