bandfit/example/example.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "51b9920d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../bandfit\")\n",
    "\n",
    "import bandfit as bf\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c04c562",
   "metadata": {},
   "source": [
    "## Import the Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "96979275",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Code.txt\r\n",
      "\u001b[0m\u001b[01;35mSB_0.5_0.5_2.0_0.0_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_1.0_1.0_0.75_0.0_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_1.0_1.0_0.75_0.2_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_1.0_1.0_0.75_0.4_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_1.0_1.0_0.75_0.8_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_1.3_1.3_0.4_0.2_pc_0.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_0.5_0.5_2.0_0.0_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_1.0_1.0_0.75_0.0_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_1.0_1.0_0.75_0.2_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_1.0_1.0_0.75_0.4_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_1.0_1.0_0.75_0.8_pc_1.0_pd_1.0.png\u001b[0m\r\n",
      "\u001b[01;35mSB_points_1.3_1.3_0.4_0.2_pc_0.0_pd_1.0.png\u001b[0m\r\n",
      "t_t_0.5_c_2.0_d_0.0_pc_1.0_pd_1.0.txt\r\n",
      "t_t_1.0_c_0.75_d_0.0_pc_1.0_pd_1.0.txt\r\n",
      "t_t_1.0_c_0.75_d_0.2_pc_1.0_pd_1.0.txt\r\n",
      "t_t_1.0_c_0.75_d_0.4_pc_1.0_pd_1.0.txt\r\n",
      "t_t_1.0_c_0.75_d_0.8_pc_1.0_pd_1.0.txt\r\n",
      "t_t_1.3_c_0.4_d_0.2_pc_0.0_pd_1.0.txt\r\n"
     ]
    }
   ],
   "source": [
    "%ls ../data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b9ce6ee1",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = bf.load_data(\"../data/t_t_0.5_c_2.0_d_0.0_pc_1.0_pd_1.0.txt\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c6f4546d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 1422.86x480 with 1 Axes>"
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   "source": [
    "plt.matshow(data)"
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  {
   "cell_type": "markdown",
   "id": "0d8ae14a",
   "metadata": {},
   "source": [
    "## Detect the Bands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "993475a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "bands = bf.detect_bands(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e9eeb951",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 640x480 with 1 Axes>, <Axes: >)"
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     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "bf.plot_data_with_bands(data, bands)"
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  },
  {
   "cell_type": "markdown",
   "id": "d050a311",
   "metadata": {},
   "source": [
    "## Fit the Theory Bands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3030d4d1",
   "metadata": {},
   "outputs": [
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       "<Figure size 640x480 with 1 Axes>"
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   ],
   "source": [
    "p, sigma = bf.fit_to_bands(bands,\n",
    "                           c_d_order=1, \n",
    "                           ic_scan_steps=20,\n",
    "                           debug_plots=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9e8e731a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a = 1.0000 +- 0.0060\n",
      "b = 0.5136 +- 0.0113\n",
      "c = -0.0659 +- 0.0089\n",
      "d = 0.4029 +- 0.0039\n",
      "k_scale = 1.0329 +- 0.0048\n",
      "k_shift = -0.0087 +- 0.0027\n"
     ]
    }
   ],
   "source": [
    "for name, val, unc in zip([\"a\", \"b\", \"c\", \"d\", \"k_scale\", \"k_shift\"], p, sigma):\n",
    "    print(f\"{name} = {val:.4f} +- {unc:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "89d6802b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 640x480 with 1 Axes>, <Axes: >)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
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   "source": [
    "bf.plot_band_with_error_funnel(p[:4], sigma[:4])"
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  {
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   "id": "9bbe5981",
   "metadata": {},
   "source": [
    "## Constraining a, b to be closer to each other..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "31590615",
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    "bf.fit_to_bands(bands,\n",
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