{ "cells": [ { "cell_type": "code", "execution_count": 19, "id": "spanish-means", "metadata": {}, "outputs": [], "source": [ "# In this tutorial we will interpolate between points provided in a thermistor\n", "# calibration file and then use the interpolated data to convert a set of\n", "# resistance measurements in ohms to temperature in celsius.\n", "import numpy as np \n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 20, "id": "adult-personal", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 2069., 2402., 2799., 3273., 3843., 4529., 5359., 6367.,\n", " 7599., 9109., 10970., 13280., 16150., 19740., 24270., 30000.,\n", " 37300., 46670.]),\n", " array([100., 95., 90., 85., 80., 75., 70., 65., 60., 55., 50.,\n", " 45., 40., 35., 30., 25., 20., 15.]))" ] }, "execution_count": 20, "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": [ "# The first step is to import the calibration data and the experimentally\n", "# measured resistance readings.\n", "\n", "# Here's the calibration data\n", "calData = np.loadtxt('thermister calibration data.dat')\n", "Rcal = calData[:, 0]\n", "Tcal = calData[:, 1]\n", "plt.plot(Rcal, Tcal, 'bo', fillstyle = 'none')\n", "plt.xlabel('Resistance (ohms)')\n", "plt.ylabel('Temperature (celsius)')\n", "plt.title('Calibration Curve')\n", "Rcal, Tcal" ] }, { "cell_type": "code", "execution_count": 21, "id": "demonstrated-shipping", "metadata": {}, "outputs": [], "source": [ "# To do the interpolation, we will use the Python module 'SciPy' and the \n", "# function 'interp1d()'.\n", "\n", "# To use interp1, you first must supply the x calibration data (Rcal) and the y\n", "# calibration data (Tcal). \n", "from scipy.interpolate import interp1d \n", "f_lin_interp = interp1d(Rcal, Tcal);" ] }, { "cell_type": "code", "execution_count": 22, "id": "cardiac-infrared", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array(26.7452007)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#'interp1d()' creates a function, which we called 'f_lin_interp' that we can \n", "# now evaluate at any x (in our case resistance) value that is within the \n", "# interpolation range. The interpolation range will be the values of resistance\n", "# that fall between the min and max values in Rcal.\n", "f_lin_interp(28e3)" ] }, { "cell_type": "code", "execution_count": 23, "id": "manufactured-iceland", "metadata": {}, "outputs": [ { "data": { "image/png": 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9GDwYliz5P+Bkdu16mN69rwEaxjM0EZEKi2ZM4fKI6Up3H+bu1aJYXbxkZ8PixZCf35MTTjiBrVvXM3LkyHiHJSJSYaWWuTCzm9z9PjMbyW66i9z96lgHtydVXeZid95++21OOeUUGjduzIoVK2jYUK0FEaneylvmovB6mrkEFVFLTgKcdNJJZGVlsX79eh577LF4hyMiUiFRPXmtaGOzFKC+u2+KXUjRqw4tBYCpU6dy6qmn0qRJE1asWEGDBklZGkpEEkSFCuKZ2Ytm1jAsn70EWGZmN1Z2kIns5JNPpnv37vzwww9qLYhIQovmPoUjw5bBucDrQDpwaSyDSjRmxl//+lcAbrvtAVJSNqsmkogkpGiSQm0zq02QFMaFj9BM2vsUSvPtt6dQt2438vN/4M47H1dNJBFJSNEkhScJ7k3YF5gRPnWtWowpVCfDhxt33PF/ADz88AN07rxFNZFEJOFEc5/Co+7e0t3P8sBK4KQqiC2h5OXBtdeeRteuXVm3bh0jR45UTSQRSTil3tFsZtft4bMPVXIsCS0jA3Jzjdtvv53TTz+d4cOHc+ih/cnIODDeoYmIRK2slkKDPUwSobAmUq1ap3HOOX3YsmULl19+g2oiiUhCKbWl4O63V2Ugia54TaRHMJvM1q05NG9+JeptE5FEEc19Coeb2VQzWxzOdzSzW2MfWuIprIlUUNCGO+4ImgiDBg3Ss5xFJGFEc/XRP4CbgV0A7r4I6BfLoGqCG2+8kUMPPZS8vDweeeSReIcjIhKVaJJCPXefU2LZT7EIpiapW7duUeXU22+/nVWrVsU5IhGRPYsmKXxvZocQ3rBmZhcAq2MaVQ3Rq1cvzj//fLZu3cr1118f73BERPYomqQwiOAGtnZm9jVwLfCHWAZVkzz88MPUq1ePsWPHMmXKlHiHIyJSpmhuXvvc3U8FmgHt3D3L3VfEPLIaIj09ndtuuw2A3r3/RErKTtVFEpFqK5qrj4abWSN33+rum82ssZndVRXB1RQtW15H7dpHsHPnMu688yHVRRKRaiua7qMz3X1D4Yy7rwfOillENdC999Zh+PCgpPbw4XdyyCFfqi6SiFRL0SSFVDOrWzhjZvsAdcvYXkrIy4NrrjmViy66iG3btjFgwAC6dStQXSQRqXaiSQrPA1PNbICZXQG8BYyObVg1S0YGzJwJjzzyCM2aNWPKlCn86U/3kZER78hERIqLZqD5PuAuIANoD9wZLpMoFdZFWrq0Bc88E+TTp5++lQsvnBXnyEREiiv1Gc1mZr6HBzhHs00sVZdnNEcjJycYQ8jLg8aNb2Tdugdo3bo1CxYsoHHjxvEOT0SSSHmf0TzNzAabWXqJndUxs5PNbDTQvzIDrckK6yLl58M33wyjc+fOrFy5kt/97nfEMa+KiBRTVlLoBeQDOWb2jZktMbMvgOVANvCwu4+qghhrnDp16jBmzBgaNmzIK6+8whNPPBHvkEREgDK6j4ptFDyjuSnwY+TlqfGWSN1Hu/Pvf/+bfv36UbduXebMmUPHjh3jHZKIJIHydh8Vcfdd7r66OiWEmqBv37787ne/Y8eOHfTt25etW7fGOyQRSXJRJYXKZmaNzOxlM1tqZnlm1tXMmpjZW2a2PHxNitHXESNGkJGRwdKlSznooKtJTUVlMEQkbuKSFIARwCR3bwdkAnnAEGCqux8GTA3na7x69epx2WVjMUtjw4Z/8uyzL6oMhojETVRJwcxam9mp4ft9zKzcz2g2s4bAicAzAO6+M+yW6sPPN8WNBs4t7zESzb/+1YE//3kEAIMG/Z5WrT5VGQwRiYtoCuJdCbxMUD4b4CDg1Qoc82DgO+BZM1tgZk+b2b7AAe6+GiB8/VUp8Qw0s7lmNve7776rQBjVR14e3H33lVx44YVs2bKFiy66iGOO2aoyGCJS5aJ9nkJ3YBOAuy+nlB/sKNUCjgX+7u7HAFvZi64id3/K3Tu5e6dmzZpVIIzqIyMDcnONp556ioMPPpgFCxbQq9dFtGunZzuLSNWKJinscPedhTNmVovwKWzltApY5e6zw/mXCZLEWjNrER6jBfBtBY6RUArLYCxY0Ihx416nYcP9mT37dZo2Hagb20SkSkWTFKab2S3APmZ2GvAS8Fp5D+jua4CvzOyIcNEpwBJgPD/fId0fGFfeYySa7Oxg/GDwYMjMPIL9959I3br1mDFjFLfeemu8wxORJLLHm9fMzIDfAacDBkwGnq5IzSMzOxp4GqgDfA5cTpCgxgLpwJfAhe7+Q1n7SfSb18oyceJE+vTpQ35+Po899hiDBg2Kd0giUkOUdfNamUnBzFKARe7eIVbBVURNTgoAzz77LFdccQVmxtixY7ngggviHZKI1ADlvqPZ3QuAhSWL4knVuPzyyxk2bBjuziWXXML06dPjHZKI1HDRjCm0AD42s6lmNr5winVgErj55psZNGgQO3fupE+fPnz00UfxDklEarBaUWxze8yjkFKZGSNGjGDNmjX85z//oVevXsyaNYv0dDXeRKTy7TEpuLv6LOIsNTWV559/nu+++44ZM2bQtesZNGgwk+XL9ycjI7ikNTs73lGKSE0QzR3Nm81sUzhtN7N8M9tUFcHJz9LS0hg3bhytWnXgm2+Wkpp6Dj/8sE11kkSkUkXzjOYG7t4wnNKA/wEei31oUlKjRo3YZ59J/OpXrViyZBa//W02J5zwk+okiUil2esqqe7+KnBy5Yci0fj005a89dZkGjduzPjx4znvvPM49thtqpMkIpVij2MKZnZ+xGwK0ImKlbmQCsjIgHXrMpg0aRJnnnkmEyZMoFu3UznssNeA/eMdnogkuGhaCudETGcAmwnKXEscFNZJ2rr1OKZNm1nUlbRlywl89dVX8Q5PRBJcNJekPu3uuZELzKw7SVSwrjopvMpo8GDIy8vg0ENnUbduL776ajFdu3Zl8uTJtG/fPr5BikjCiqalMDLKZVJFsrNh8WLIz4dly1qycOEMTjjhBL7++muysrLIzc3d805ERHaj1KQQPjf5eqCZmV0XMf0VSK2yCGWPGjduzOTJkzn33HPZsGEDp556KuPH66ZzEdl7ZbUU6gD1CbqYGkRMmwBVZqtm9tlnH1566SUGDhzI9u3bOe+883j66afjHZaIJJhSxxTCO5mnm9kod19ZhTFJOdWqVYsnnniC5s2bc8cdd3DllVeyZs0ahg4dSlABXUSkbNEMNG8zs/uB9kBa4UJ3170K1ZCZcfvtt9O8eXMGDRrEbbfdxpo1axgxYgSpqer1E5GyRTPQ/AKwFGhLUBxvBfBBDGOSSvCHP/yBsWPHUqdOHR5//HGaNOlHSsoOOnRQSQwRKV00SWF/d38G2OXu0939CqBLjOOSSnDBBRdw002TMWvIpk0v06PHmdx990bVShKRUkWTFHaFr6vNrLeZHQMcFMOYpBL99789eeqpGTRv3px33pnGrbeeyF//+olqJYnIbkXzjOazgXeBVgT3JzQEbnf3uF/zWNMfx1kZUlNh+3ZYteoLzjjjDJYvX86+++7Ltm1/o6Dgt/EOT0TioNyP4zSzVOAwd9/o7ovd/SR3/3V1SAgSnYwMmDkT2rZtywcffEDfvn3ZunUr7v259NJL2bx5c7xDFJFqZE/PaM4HflNFsUgMFNZKmjYN6tXbj4EDc2ja9Bnq1q3H888/zzHHHINaWyJSKJoxhffM7DEzO8HMji2cYh6ZVIrs7OBZC4MHQ1oaXH218eijV7BgwVwyMzP57LPP6NatGw8++CAFBQXxDldE4iyaMYVpu1ns1eE+BY0pVMz27du56aabGDkyKGXVq1cvRo0axQEHHBDnyEQklsoaU9hjUqjOlBQqx2uvvcbll1/OunXrOOCAA3juuec47bTT4h2WiMRIuQeaww8fYGbPmNkb4fyRZjagsoOU+DnnnHNYuHAhPXr0YO3atZx++un85S9/YdeuXXv+sIjUKNGMKYwCJgMHhvOfANfGKB6Jk5YtWzJ16lTuuOMOUlJSuO+++8jKyuLzzz+Pd2giUoWiSQpN3X0sUADg7j8B+TGNSuIiNTWV2267jRkzZpCens6cOXM4+uijGTw4hw4dgnseVCZDpGaLJilsNbP9CZ/LbGZdgI0xjUriqnv37nz44Yecf/75bN68mcceu5hWra7g+++3MHIkKpMhUoNFkxSuA8YDh5hZLvAvYHBMo5K4a9y4MS+//DItWjxBnTppTJr0LF27dqJRowU88wwqkyFSQ+0xKbj7fKAH0A34PdDe3RfFOjCJPzNj7drf8/77H9C+fXuWLVtG586deeWVa1iyZH28wxORGIjm6qM04GrgToLS2YPCZZIEMjJgw4YOzJkzh6uvvhp357HHHiUl5XCefvpp8vM1vCRSk0TTffQvggfsjAQeA44EnotlUFJ9FJbJmD27Hg88MIInn5xPWtqJ5Od/z5VXXsnxxx/PrFmz4h2miFSSaJ68doS7Z0bMTzOzhbEKSKqX7OzgdfBgyMuDjIxMnnnmHVJTx3LDDTcwb948unXrxqWXXsq9995LixYt4huwiFRINC2FBeEVRwCY2fFAbuxCkuomOxsWL4b8/OD14ouNvn37snTpUoYOHUqdOnV47rnnOPzww7n//vvZuXNnvEMWkXKKJikcT1AUb4WZrQBmAT3M7CMz04BzEtt333256667WLJkCX369GHLli3cdNNNHHXUUUyaNCne4YlIOURTEK91WevdfWWlRrQXVPuoepk0aRLXXnsty5YtA4LyGQ899BCHHnponCMTkUgVqn0U/uhvAvYD9i+c3H1lPBOCVD+9evVi0aJFPPDAAzRo0IDXXnuN9u3bM3ToULZu3Rrv8EQkCtFcknonsAh4FHgwnB6IcVySoOrUqcP111/PsmXL6N+/Pzt37mT48OEcccQRjBkzhkSuyiuSDKIZU7gIOMTde4aP4zypMp6lYGapZrbAzCaE803M7C0zWx6+Nq7oMSR+WrRowahRo5g1axadOnXi66+/Jjs7mx49enDPPQtVS0mkmoomKSwGGsXg2NcAeRHzQ4Cp7n4YMDWclwTXpUsXZs+ezdNPP02zZs149913ufnmYzn00EF8/fU61VISqWaiSQp3E1yWOtnMxhdOFTmomR0E9AaejljcBxgdvh8NnFuRY0j1kZKSwoABA/jkk09o0uQaUlKMceP+Rvv2hzN//oOMHLlZtZREqolorj76GHgS+IiwfDaAu08v90HNXiZINg2AG9z9bDPb4O6NIrZZ7+6/6EIys4HAQID09PRfr1ypse5EkpoK8+Z9zPXXX83bb78NBMX31q//E99+O5hmzZrFOUKRmq9CVx8B37v7o+4+zd2nF04VCOZs4Ft3n1eez7v7U+7eyd076Qck8WRkwPr17ZkyZQoTJkyge/furF+/HriT1q1bc8011/Dll1/GO0yRpBVNUphnZnebWVczO7ZwqsAxuwO/CW+EGwOcbGbPA2vNrAVA+PptBY4h1VRhLaV33jFOP703d945kxYt3uWYY3rz448/8uijj3LIIYfQv39/Pv7443iHK5J0ouk+mrabxV5JVyD15Ofuo/uBde5+j5kNAZq4+01lfV43ryWmnJzgeQxBLaUgUWRnw6JFi7jvvvsYM2ZMUfXVPn36MGTIELp06bKHvYpItMrqPtpjUoilEklhf2AskA58CVzo7j+U9XklhZrp888/58EHH+Sf//wn27dvB6BHjx4MGTKEM844AzOLc4Qiia1CScHMDgCGAwe6+5lmdiTQ1d2fqfxQ946SQs22du1aHn30UR5//HE2bgyeAJuZmcmQIUO44IILqFUrmiK/IlJSRQeaRwGTgQPD+U+AayslMpEyHHDAAQwbNowvv/ySe++9l+bNm7Nw4UKys7Np164dTz75ZFFLQkQqR6lJwcwK/wxr6u5jCS9HdfefAD1uS6pMw4YNuemmm/jiiy948sknOeSQQ/jss8+46qqraNOmDffeey+bNm2Kd5giNUJZLYU54evWsL/fAcJnK2yMdWAiJaWlpTFw4ECWLVvGmDFjOProo1m7di1DhgwhPT2dW265hbVr15KTg8poiJRTWUmhcDTvOmA8cIiZ5RI8nnNwrAMTKU1qaip9+/Zl/vz5TJo0iZ49e7Jx40buvvtuWrVqze9//0duueULtm9HZTRE9lKpA81mtgp4KJxNAeoSJIodQL67P7TbD1YhDTRLoffff5977rmHcePGAT8njr/85S+sW9eRwYODp8aJSPkHmlOB+gSlKPYleJ5zKlAvXCZSbXTp0oVXX30Vs4+59NL+mBkvvvgimZmZ3HxzV5YseSK8c1pEylJWS2G+u1fkzuWYU0tBSurQIegyOuSQL3nwwQd59tln2bx5MwB169alT58+9O/fn9NPP12XtErSKm9LQXcIScIpLKPx2WfpPPDACP797zU0a/Y8HTqcys6dOxk7diy9e/emVatW3HjjjSxWn5JIMWW1FJrs6Y7ieFNLQXantDIaX331Fc899xyjR4/mk08+Kdr+2GOP5bLLLiM7O5umTZvGMXKRqlFty1xUlJKClIe7M3v2bEaPHk1OTk7R3dK1a9emd+/eXHbZZZx55pnUqVMnzpGKxIaSgkgptm/fzvjx4xk1ahSTJ0+moCB4ZEjTpk25+OKLueyyyzj66KNVb0lqFCUFkSisXr2aF154gVGjRhUr233UUUfRv39/LrnkEpo3bx7HCEUqh5KCyF5wd+bPn8/o0aN58cUXWbduHRDc+9CrVy/69+/POeecQ1paWpwjFSkfJQWRctq5cycTJ05k9OjRTJw4kZ9++gkIHiHar18/LrvsMjp37qzuJUkoFa2SKpK06tSpw3nnncerr77KN998wyOPPMIxxxzD+vXr+fvf/87xxx/PkUceyT333MPXX3+tukuS8NRSECmHRYsWMXr0aJ5//nm+/TZ4cqyZkZZ2Gtdd158bbzyX+fPrMWBAcHlsdnacAxaJoO4jkRjZtWsXkydPZvTo0fznP+Nx3wkE5b4vvPBCDj30f/jXv05iyRKNP0j1oaQgUgVSUn5gxIgxPP/8aObMmROxph7nnHMKvXv3pnfv3hx00EFxi1EElBREqkRh3aWTToK8vDxycnLIyZnAp58uKLZdZmYmZ599Nr179+a4444jNTU1ThFLslJSEKkCOTlBSY1nnoGsLJg5M6jDdMMN31CnzutMmDCBKVOmsHXr1qLPNG3alDPPPJPevXtzxhln0KhRo/h9AUkaSgoiVaS0ukuFduzYwfTp05kwYQITJkzgiy++KFqXmppKVlZWUTdTRkaGLnWVmFBSEKmG3J2lS5cyceJEJk6cyLvvvkt+/s+PP2/bti29e/fm7LPPpkePHrpZTiqNkoJIAtiwYQNvvvkmEyZM4I033uD7778vWlevXj1OPfVUzj77bM466yxatmwZx0gl0SkpiCSY/Px8PvjgAyZMmMDEiRP58MMPi60/+uijiwarO3furMFq2StKCiIJbtWqVbz++utMnDiRKVOmsG3btqJ1TZs25ayzzqJ3796cfvrpGqyWPVJSEKlBtm/fzjvvvMPEiROZMGECK1asKFpXq1atYoPV7dq102C1/IKSgkgN5e7k5eUVdTPl5uYWG6w++OCDixLEmjU9uP/+tFKvjJLkoaQgkiTWr1/P5MmTmThxIm+88UZR2W8As33p1u1ULr30bJo0OYu//OVA1WVKUkoKIkkoPz+f2bNnM3HiRB58cAI7diwqtr5t2w5s2NCdRx/Nonv37rRp00ZdTUlCSUEkyaWmwvLlX/HWW8Gd1VOnTuXHH38stk2LFi3o3r073bt3Jysri8zMTGrXrh2niCWWlBREklxkXSYIBqufemouw4blctxxM3nvvff44Ycfin2mXr16HH/88UWJomvXruy3335xiF4qm5KCSJIrrS5T4ZhCQUEBy5YtIzc3t2havnx5sX2YGUcddVRRkujevTutW7dWl1MCUlIQkT3WZSpp7dq1vPfee0VJYt68eezatavYNi1btiyWJDIzM6lVq1aMv4lUlJKCiFTYjz/+yNy5c5k5cya5ubm89957rF+/vtg2++67L126dClKEl26dKFhw4ZxilhKo6QgIpWuoKCApUuXkpubW5QoPvvss2LbpKSkFHU5ZWUFVzmlp6fHKWIppKQgIlVizZo1v+hy+umnn4ptc9BBBxW7yumoo45Sl1MVU1IQkbjYtm0bH3zwQVGSeO+999iwYUOxberXr/+LLqcGDRrEJ+AkUa2Sgpm1Av4FNAcKgKfcfYSZNQH+DbQBVgAXufv60vYDSgoiiaagoIC8vLxiXU6ff/55sW1SUlLIzMwsNoDdqlWrovV7O2Auv1TdkkILoIW7zzezBsA84FzgMuAHd7/HzIYAjd39L2XtS0lBJPGtXr26WJfT/Pnzf9HllJ6eTvfu3albtztvvtmd0aOPokeP1F9cWivRqVZJ4RcBmI0DHgunnu6+Okwc77j7EWV9VklBpObZtm0bc+bMKdbltHHjxmLbNGjQgC5dupCVlcU++3TlmWcyWbr0V3GKOPFU26RgZm2AGUAH4Et3bxSxbr27N97NZwYCAwHS09N/vXLlyqoJVkTioqCggCVLlpCbm8tVV82kbdvcYs+2LtS8eXM6duxIZmZm0esRRxxBnTp14hB19VYtk4KZ1QemA8Pc/RUz2xBNUoikloJIciks19Gu3eqilsSUKR+wZMkiCgo2/2L72rVrc+SRR/4iWfzqV8ndqqh2ScHMagMTgMnu/lC4bBnqPhKRMpRWruOuu5yuXVewaNEiFi5cWPT62WefsbvfuN21Ktq1a5c0BQCrVVKwoFDKaIJB5Wsjlt8PrIsYaG7i7jeVtS8lBZHkszdXH23ZsoXFixcXSxSLFi1i8+bSWxWRiaJjx441slVR3ZJCFvAu8BHBJakAtwCzgbFAOvAlcKG7/7DbnYSUFERkb7k7K1b83KooTBTJ1KqoVkmhMikpiEhlSaZWhZKCiEg5lNaq+PTTT3e7faK0KpQUREQqUaK3KpQURERirKCggJUrV/4iUUTTqihMFFXVqlBSEBGJk8hWRWGiqEirojJqP5WVFFSvVkQkhgqrwHbp0qVoWVmtisLkEal58+ZkZmZSu3ZHZs/O5O67O5Kd3Y7Zs2szYECwTWXVflJLQUSkmtiyZQsfffRRsURRWquifv36rF+/nnffrcXgwbB4cfTHUUtBRCQB1K9fn65du9K1a9eiZZGtivPPX0SfPgtZvHgR9evXp1atWmRlBV1JlUVJQUSkGktJSaFt27a0bduWI488l6uvhpNOgl27dgFBqY+MjEo8XuXtSkREYmno0KDW07RpALWZNi2YHzq08o6hloKISIIoHEwePPjnq48q+wFDSgoiIgkkOzu2T5lT95GIiBRRUhARkSJKCiIiUkRJQUREiigpiIhIkYQuc2Fm3wFbge/jHUs10xSdk0g6H8XpfBSXjOejtbs3292KhE4KAGY2t7QaHslK56Q4nY/idD6K0/koTt1HIiJSRElBRESK1ISk8FS8A6iGdE6K0/koTuejOJ2PCAk/piAiIpWnJrQURESkkigpiIhIkYROCmbWy8yWmdmnZjYk3vFUJjP7p5l9a2aLI5Y1MbO3zGx5+No4Yt3N4XlYZmZnRCz/tZl9FK571MwsXF7XzP4dLp9tZm2q9AvuJTNrZWbTzCzPzD42s2vC5Ul5TswszczmmNnC8HzcHi5PyvNRyMxSzWyBmU0I55P6fJSLuyfkBKQCnwEHA3WAhcCR8Y6rEr/ficCxwOKIZfcBQ8L3Q4B7w/dHht+/LtA2PC+p4bo5QFfAgDeAM8PlfwSeCN/3A/4d7++8h/PRAjg2fN8A+CT83kl5TsLY64fvawOzgS7Jej4izst1wIvAhHA+qc9Huc5hvAOowD9+V2ByxPzNwM3xjquSv2ObEklhGdAifN8CWLa77w5MDs9PC2BpxPJs4MnIbcL3tQju6LR4f+e9ODfjgNN0ThygHjAfOD6ZzwdwEDAVODkiKSTt+SjvlMjdRy2BryLmV4XLarID3H01QPj6q3B5aeeiZfi+5PJin3H3n4CNwP4xi7wShc32Ywj+Ok7acxJ2lXwIfAu85e5JfT6AR4CbgIKIZcl8PsolkZOC7WZZsl5fW9q5KOscJeT5M7P6wH+Aa919U1mb7mZZjTon7p7v7kcT/IV8nJl1KGPzGn0+zOxs4Ft3nxftR3azrMacj4pI5KSwCmgVMX8Q8E2cYqkqa82sBUD4+m24vLRzsSp8X3J5sc+YWS1gP+CHmEVeCcysNkFCeMHdXwkXJ/U5AXD3DcA7QC+S93x0B35jZiuAMcDJZvY8yXs+yi2Rk8IHwGFm1tbM6hAM/IyPc0yxNh7oH77vT9CvXri8X3h1RFvgMGBO2FzebGZdwisoflviM4X7ugB428PO0uoojP8ZIM/dH4pYlZTnxMyamVmj8P0+wKnAUpL0fLj7ze5+kLu3IfgteNvd/5ckPR8VEu9BjYpMwFkEV6F8BgyNdzyV/N1ygNXALoK/UAYQ9F9OBZaHr00ith8anodlhFdLhMs7AYvDdY/x813sacBLwKcEV1scHO/vvIfzkUXQVF8EfBhOZyXrOQE6AgvC87EY+H/h8qQ8HyXOTU9+HmhO+vOxt5PKXIiISJFE7j4SEZFKpqQgIiJFlBRERKSIkoKIiBRRUhARkSJKCpIQzCzfzD40s8Vm9lrhNfp7uY9OZvZoGevbmNnFFQq0AsxsHzObbmapZWzTs7ACaCUfe0pkBVFJXkoKkih+dPej3b0DwV2kg/Z2B+4+192vLmOTNkDckgJwBfCKu+fH4djPEVQBlSSnpCCJaBZhkTIzO8TMJpnZPDN718zahcsvDFsVC81sRris6K9sM+sRtjw+DOvvNwDuAU4Il/05bDm8a2bzw6lbxH7eMbOXzWypmb0QUXO/s5m9Fx53jpk1CAvX3W9mH5jZIjP7fSnf6xLCu2ctcH/4HT4ys74R29Uv5dgrzGy4mc0ys7lmdqyZTTazz8zsqnCbFmY2I6LVdUK4z/EEFUEl2cX77jlNmqKZgC3hayrBXaW9wvmpwGHh++MJSg8AfAS0DN83Cl978vOdrq8B3cP39QlKIRetD5fXA9LC94cBcyP2s5GgLk4KQZLKIniux+dA53C7huF+BwK3hsvqAnOBtiW+Xx1gTcT8/wBvhd/3AOBLgrLOuz12+JkVwB/C9w8T3O3cAGhGUCwO4HrCu//DfTeIOOZyYP94/1triu9UK7rUIRJ3+1hQJroNMA94y4KKqd2Al8I/liH40QXIBUaZ2VjgFX4pF3jIzF4g6LJZFbGPQrWBx8zsaCAfODxi3Rx3XwUQEddGYLW7fwDgYRVXMzsd6GhmF4Sf3Y8gyXwRsb+mwIaI+Swgx4OupLVmNh3oDGwq5dgzw88V1v/6iOAhPJsJavlsD8dhPgD+aUFxwVfd/cOIY34LHAis2835kiSh7iNJFD96UCa6NcFf1YMI/v9u8GCsoXDKAHD3q4BbCapafmhmxereu/s9wO+AfYD3C7udSvgzsBbIJKiHUydi3Y6I9/kELQJj96WUDRgcEWNbd3+z5PcjqK0T+ZnS7O7YJdcVlNiuAKjl7jMInur3NfCcmf02Ypu0MA5JYkoKklDcfSNwNXADwQ/YF2Z2IRT1w2eG7w9x99nu/v8InpAVWSa5cP1H7n4vQXdOO2AzQXdLof0I/vIvAC4l6G4py1LgQDPrHB6jgQUllicDfwj/OsfMDjezfUt8r/VAqpkVJoYZQN9wPKIZwQ/5nChPU6nMrDVBV9I/CKrOHhsuN6A5QReUJDElBUk47r6A4Pm6/QgGZweY2ULgY6BPuNn94QDtYoIf2IUldnNt4UA0QXJ5g6AP/qdwkPjPwN+A/mb2PkHX0dY9xLUT6AuMDPf7FsFf308DS4D5YTxPwm67bt8k6DYC+G8Yz0LgbeAmd1+z57OzRz0JWk4LCMYtRoTLfw2878ETxSSJqUqqSDVhZscA17n7pXE49ghgvLtPrepjS/WiloJINRG2gKaVdfNaDC1WQhBQS0FERCKopSAiIkWUFEREpIiSgoiIFFFSEBGRIkoKIiJS5P8DLxuay5eqxlAAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We can use this function to plot a continuouse calibration curve.\n", "\n", "# Show the calibration data...\n", "plt.plot(Rcal, Tcal, 'bo', fillstyle = 'none')\n", "plt.xlabel('Resistance (ohms)')\n", "plt.ylabel('Temperature (celsius)')\n", "plt.title('Calibration Curve')\n", "\n", "# and the interpolation.\n", "xx = np.linspace(min(Rcal), max(Rcal), 5000)\n", "plt.plot(xx, f_lin_interp(xx), 'k-', linewidth = 2);" ] }, { "cell_type": "code", "execution_count": 24, "id": "defined-brother", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The interpolation that we just did simply connects the space between the \n", "# points with straight lines. If we want to have the points joined by a smooth\n", "# curve we can add the option 'kind = 'cubic'' to 'interp1d()'. This time, I\n", "# will also add the option 'fill_value = 'extrapolate'' which will allow\n", "# use to estimate values of T outside of the interpolation range.\n", "\n", "# Show the calibration data...\n", "plt.plot(Rcal, Tcal, 'bo', fillstyle = 'none')\n", "plt.xlabel('Resistance (ohms)')\n", "plt.ylabel('Temperature (celsius)')\n", "plt.title('Calibration Curve')\n", "\n", "# and the first interpolation...\n", "xx = np.linspace(min(Rcal), max(Rcal), 5000)\n", "plt.plot(xx, f_lin_interp(xx), 'k-', linewidth = 2);\n", "\n", "# and the second interpolation.\n", "f_cubic_interp = interp1d(Rcal, Tcal, kind = 'cubic', fill_value = 'extrapolate')\n", "plt.plot(xx, f_cubic_interp(xx), 'r--', linewidth = 2)\n", "plt.legend(('cal data', 'linear interp', 'cubic interp'));" ] }, { "cell_type": "code", "execution_count": 25, "id": "global-religion", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We'll show these curve together a second time while zoomed into a \n", "# narrow range of R values. This will highlight the difference between the \n", "# linear and cuboc interpolations.\n", "\n", "# Show the calibration data...\n", "plt.plot(Rcal, Tcal, 'bo', fillstyle = 'none')\n", "plt.xlabel('Resistance (ohms)')\n", "plt.ylabel('Temperature (celsius)')\n", "plt.title('Calibration Curve')\n", "\n", "# and the first interpolation...\n", "xx = np.linspace(min(Rcal), max(Rcal), 5000)\n", "plt.plot(xx, f_lin_interp(xx), 'k-', linewidth = 2);\n", "\n", "# and the second interpolation.\n", "f_cubic_interp = interp1d(Rcal, Tcal, kind = 'cubic', fill_value = 'extrapolate')\n", "plt.plot(xx, f_cubic_interp(xx), 'r--', linewidth = 2)\n", "plt.legend(('cal data', 'linear interp', 'cubic interp'))\n", "plt.axis((10000, 14400, 42, 53));" ] }, { "cell_type": "code", "execution_count": 27, "id": "generic-management", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Here are the measured resistances from a PHYS 232 thermal waves experiment.\n", "# The first column of data in the file is time in seconds.\n", "expData = np.loadtxt('thermalWaves-12092010-00-x05cm f003Hz V80V.dat')\n", "time = expData[:, 0]\n", "Rexp = expData[:, 1]\n", "plt.plot(time, Rexp, 'r.')\n", "plt.ylabel('Resistance (ohms)')\n", "plt.xlabel('Time (seconds)')\n", "plt.title('Thermal Waves Resistance Measurements');" ] }, { "cell_type": "code", "execution_count": 28, "id": "miniature-connecticut", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Thermal Waves Interpolated Temperature Measurements')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Here's a plot of the data after using cubic interpolation function\n", "# to convert the resistance measurements to temperatures.\n", "plt.plot(time, f_cubic_interp(Rexp), 'g.')\n", "plt.ylabel('Temperature (celsius)')\n", "plt.xlabel('Time (seconds)')\n", "plt.title('Thermal Waves Interpolated Temperature Measurements')" ] } ], "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 5 }