{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.optimize import curve_fit\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "wavelengths = np.linspace(2E-7, 2E-5, 500, dtype=np.float128)\n",
    "def planck(L, T):\n",
    "    h = 6.6261E-34\n",
    "    kB = 1.381E-24\n",
    "    c = 3E8\n",
    "\n",
    "    return 2*h*c**2/L**5 * 1/(np.exp(h*c/(L*kB*T)) - 1)\n",
    "\n",
    "data = planck(wavelengths, 8000) + np.random.normal(size=wavelengths.size)*.1E9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f4a38a05120>]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wavelengths, data, '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_3567040/2851917689.py:7: RuntimeWarning: overflow encountered in exp\n",
      "  return 2*h*c**2/L**5 * 1/(np.exp(h*c/(L*kB*T)) - 1)\n"
     ]
    }
   ],
   "source": [
    "pfit, pcov = curve_fit(planck, xdata=wavelengths, ydata=data, p0=[1000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f4a382a3640>]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wavelengths, data, '.')\n",
    "plt.plot(wavelengths, planck(wavelengths, pfit[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[184.55168445]])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.10.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "e7370f93d1d0cde622a1f8e1c04877d8463912d04d973331ad4851f04de6915a"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
