{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Automatic fit function" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'1.3.1.dev308'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import uncertainties.unumpy as unp\n", "\n", "import smpl\n", "from smpl import io, plot, stat\n", "\n", "smpl.__version__" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 89%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████▋ | 25/28 [00:02<00:00, 8.65it/s]/home/apn/git/smpl/smpl/functions.py:105: RuntimeWarning: invalid value encountered in power\n", " return a * (x) ** k + y\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 28/28 [00:02<00:00, 10.43it/s]\n", "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 29/29 [00:02<00:00, 14.22it/s]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n in [\"test_linear_data.txt\", \"test_quad_data.txt\"]:\n", " data = np.loadtxt(io.find_file(n, 3))\n", " xdata = data[:, 0]\n", " xerr = data[:, 2]\n", " ydata = data[:, 1]\n", " yerr = data[:, 3]\n", " x = unp.uarray(xdata, xerr)\n", " y = unp.uarray(ydata, yerr)\n", "\n", " function, fitparams, lfunc = plot.auto(\n", " xdata,\n", " ydata,\n", " fmt=\".\",\n", " label=\"data\",\n", " xaxis=\"x in a.u.\",\n", " yaxis=\"y in a.u.\",\n", " sigmas=1,\n", " epsfcn=0.00001,\n", " maxfev=1000000,\n", " init=True,\n", " )" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 29/29 [00:07<00:00, 3.88it/s]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5, 5, 100)\n", "y = stat.noisy(np.exp(2 * x))\n", "ff = plot.auto(\n", " x, y, fmt=\".\", label=\"data\", xaxis=\"x in a.u.\", yaxis=\"y in a.u.\", sigmas=1\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 4 }