Example_Map2D.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "65db39d2",
   "metadata": {},
   "source": [
    "# 二维物理参数分布模拟（`map2d`）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7ad1dfd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"..\")\n",
    "\n",
    "from csst_ifs_gehong import map2d as m\n",
    "from csst_ifs_gehong import config as c\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da6c25ca",
   "metadata": {},
   "source": [
    "### 光谱格式配置项\n",
    "\n",
    "`config`模块用来配置模拟光谱的格式，包括波长方向配置（波长范围、波长间隔）和空间方向配置（像素数、像素大小）。默认配置下模拟得到的三维数据立方可直接用于`csst-ifs-etc`的计算。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "20533816",
   "metadata": {},
   "outputs": [],
   "source": [
    "config = c.config(nx=30, ny=30, dpix=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "456440ac",
   "metadata": {},
   "source": [
    "## 二维物理参数分布初始化\n",
    "\n",
    "在`gehong`中，所有的二维分布均基于`map.Map2d()`以类的形式进行传递。因此在模拟二维分布之前，需要对其进行初始化。\n",
    "\n",
    "例如，模拟一个面亮度分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ef27c5db",
   "metadata": {},
   "outputs": [],
   "source": [
    "sbmap = m.Map2d(config)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "103f42cc",
   "metadata": {},
   "source": [
    "# 参数化二维分布模拟\n",
    "\n",
    "`gehong`提供了三种参数化二维图像模拟：Sersic模型，tanh速度场模型，梯度模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b6aa2fc",
   "metadata": {},
   "source": [
    "### Sersic模型\n",
    "\n",
    "类`Map2d`的方法`.sersic_map()`可以用来为该二维分布类模拟一个二维Sersic分布。其中，`mag`表示该Sersic模型的积分星等，`r_eff`为有效半径（单位：arcsec），`ellip`为椭率，`theta`为方向角。模拟得到的二维分布存储在属性`.map`中。\n",
    "\n",
    "下面的例子为模拟一个Sersic面亮度分布。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e53866ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sbmap.sersic_map(mag = 15.0, r_eff = 4.0, n = 1.0, ellip = 0.2, theta = -30)\n",
    "\n",
    "plt.imshow(sbmap.map, cmap = 'gray_r')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "sbmap.sersic_map(mag = 15.0, r_eff = 8.0, n = 2.5, ellip = 0.8, theta = -50.0)\n",
    "\n",
    "plt.imshow(sbmap.map, cmap = 'gray_r')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d092f39b",
   "metadata": {},
   "source": [
    "### tanh速度场模型\n",
    "\n",
    "类`Map2d`的方法`.tanh_map()`可以用来为该二维分布类模拟一个速度场，旋转曲线采用tanh函数。其中，`vmax`表示旋转速度的最大值，`rt`为旋转曲线的turn-over半径（单位：arcsec），`ellip`为椭率，`theta`为方向角。模拟得到的二维分布存储在属性`.map`中。\n",
    "\n",
    "下面的例子为模拟一个速度场分布面亮度分布。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "284a852c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "velmap = m.Map2d(config)\n",
    "velmap.tanh_map(vmax = 160, rt = 2.0, ellip = 0.8, theta = 30)\n",
    "\n",
    "plt.imshow(velmap.map, cmap = 'RdBu_r')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "velmap = m.Map2d(config)\n",
    "velmap.tanh_map(vmax = 100.0, rt = 1.0, ellip = 0.4, theta = -50.0)\n",
    "\n",
    "plt.imshow(velmap.map, cmap = 'RdBu_r')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f536b87",
   "metadata": {},
   "source": [
    "## 梯度模型\n",
    "\n",
    "类`Map2d`的方法`.gred_map()`可以用来为该二维分布类模拟一个梯度模型，二维分布上各个点的值随半径的变化遵从同一梯度。其中，`a0`表示椭圆中心的强度，`r_eff`为有效半径（单位：arcsec），`gred`为梯度，`ellip`为椭率，`theta`为方向角。模拟得到的二维分布存储在属性`.map`中。\n",
    "\n",
    "该模型可以用于模拟星系速度弥散、星族年龄和金属丰度等物理参数的二维分布。\n",
    "\n",
    "下面的例子为模拟一个星系星族年龄的二维分布。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1bd073b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agemap = m.Map2d(config)\n",
    "agemap.gred_map(a0 = 9.5, r_eff = 8, gred = -1.2, ellip = 0.6, theta = 75/180*np.pi)\n",
    "\n",
    "plt.imshow(agemap.map, cmap = 'RdBu_r')\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "agemap = m.Map2d(config)\n",
    "agemap.gred_map(a0 = 9.5, r_eff = 1, gred = -1.2, ellip = 0.4, theta = 0)\n",
    "\n",
    "plt.imshow(agemap.map, cmap = 'RdBu_r')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d4a70f2",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "8053fa04",
   "metadata": {},
   "source": [
    "### 数据读取"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5e42b5d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Filename: Example.fits\n",
      "No.    Name      Ver    Type      Cards   Dimensions   Format\n",
      "  0  PRIMARY       1 PrimaryHDU       4   ()      \n",
      "  1  SURFACE_BRIGHT    1 ImageHDU         8   (100, 100)   float64   \n",
      "  2  AGE_STAR      1 ImageHDU         8   (100, 100)   float64   \n",
      "  3  FEH_STAR      1 ImageHDU         8   (100, 100)   float64   \n",
      "  4  E(B-V)        1 ImageHDU         8   (100, 100)   float64   \n",
      "  5  VEL_STAR      1 ImageHDU         8   (100, 100)   float64   \n",
      "  6  SIG_STAR      1 ImageHDU         8   (100, 100)   float64   \n",
      "  7  HA_FLUX       1 ImageHDU         8   (100, 100)   float64   \n",
      "  8  ZH_GAS        1 ImageHDU         8   (100, 100)   float64   \n",
      "  9  VEL_GAS       1 ImageHDU         8   (100, 100)   float64   \n",
      " 10  SIG_GAS       1 ImageHDU         8   (100, 100)   float64   \n",
      "None\n"
     ]
    }
   ],
   "source": [
    "from astropy.io import fits\n",
    "hdulist = fits.open('Example.fits')\n",
    "print(hdulist.info())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9702a878",
   "metadata": {},
   "source": [
    "### 分别导入数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a3187f70",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 恒星星族相关Map\n",
    "stellar_sbmap    = m.Map2d(config)\n",
    "stellar_sbmap.load_map(hdulist[1].data)\n",
    "stellar_agemap   = m.Map2d(config)\n",
    "stellar_agemap.load_map(np.log10(hdulist[2].data*1e9))\n",
    "stellar_fehmap   = m.Map2d(config)\n",
    "stellar_fehmap.load_map(hdulist[3].data)\n",
    "stellar_velmap   = m.Map2d(config)\n",
    "stellar_velmap.load_map(hdulist[5].data)\n",
    "stellar_vdispmap = m.Map2d(config)\n",
    "stellar_vdispmap.load_map(hdulist[6].data)\n",
    "# 气体相关Map\n",
    "gas_hamap    = m.Map2d(config)\n",
    "gas_hamap.load_map(hdulist[7].data)\n",
    "gas_zhmap    = m.Map2d(config)\n",
    "gas_zhmap.load_map(hdulist[8].data)\n",
    "gas_velmap   = m.Map2d(config)\n",
    "gas_velmap.load_map(hdulist[9].data)\n",
    "gas_vdispmap = m.Map2d(config)\n",
    "gas_vdispmap.load_map(hdulist[10].data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86727f7e",
   "metadata": {},
   "source": [
    "### 结果展示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "eaca3483",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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oazn0stQ305A9aMhKUiND1lJni2RDNkDfR1QL92zn7e7Zje5RuR82SzsM2cWGbCtDdrRDJlvSakOZqDF+TJNczrwaGMpMTHHPxlp2q+6nGbY2znLKVfHh6n+5H7ZLaYZsQ0t4iyHb3pA9aMha2pZWhqwk/WTItnWPxv7snm3wo3u2lXvUtGiGcmO+cs/uMVThoCFrOePoZMhaVpnrsrn33iCUMVIWAEJcTRkpO2bMGN1yyy2aM2eOwsLC9Msvv2jFihW67bbbdN9991V19QAA1Y1f3txkxH2MAwAA1ZtXbWdRWSgXnbIAEOJqSqfsHXfcoUOHDqlv377KycnROeeco+joaN1222266aabqrp6AIDqhukLAACwYfqCoOJGXwCAkDFlyhTt3btXq1at0hdffKE9e/booYcequpqAQAAAAACbObMmWrdurViYmLUtWtXff7550fN/uUvf9F5552nBg0aKDExUT179tSiRYuCWNtjR6csAIS4opGyXjxCWXZ2trKyshQXF6du3bopJSVFL730kj7++OOqrhoAoDoq9PABAEBN4GXbaWw/33zzTY0bN04TJ07UunXr1Lt3bw0cOFDbt5c9V//SpUt13nnnaeHChVq7dq369u2rwYMHa926ddalrjJ0ygIAQsKQIUM0b948SUdulNi9e3c98cQTGjJkiGbNmlXFtQMAAAAABMr06dN13XXXafTo0erYsaNmzJih5s2bH/VccMaMGbrjjjt0xhlnqF27dnr44YfVrl07ffDBB0GueeXRKQsAIa6mjJT98ssv1bt3b0nSO++8o5SUFP3000+aN2+enn766SquHQCg2vF5+AAAoCbwsu38T/uZnp5e4pGbm1vqY/Py8rR27Vr179+/xPP9+/fX8uXLnapeWFiojIwM1atXz7bMVYhOWQAIcTWlUzYrK0sJCQmSpI8//liXXnqpwsPD1aNHD/30009VXDsAQLVDpywAADYB6JRt3ry5kpKSih9Tp04t9bF79+6Vz+dTSkpKiedTUlKUlpbmVPUnnnhCmZmZGjp0qG2Zq1Ctqq4AAACSdMIJJ+i9997TJZdcokWLFunWW2+VJO3evVuJiYlVXDsAAAAAgNWOHTtKnM9FR0cfNfvbgUR+v99pcNHrr7+uSZMm6f3331fDhg0rX9kgo1MWAEKcV6NcQ32k7H333acRI0bo1ltv1e9//3v17NlT0pFRs126dKni2gEAqh2vbtLFjb4AADWFlze4/E85iYmJFQ6ySU5OVkRERKlRsbt37y41eva33nzzTV133XV6++231a9fv2OqcrAxfQEAhLiaMn3B5Zdfru3bt2vNmjX66KOPip///e9/ryeffLIKawYAqJaYvgAAAJsATF/gIioqSl27dtXixYtLPL948WL16tXrqO97/fXXdc011+i1117ThRde6P6BIcI0UjY+Pl5RUVEV5nJycpzLzM/Pd876fO7faExMjHM2IiLCOWsRHu7e53348GHnbHlDvX/L8l3k5eU5Z8uamNmLbO3atZ2zcXFxzlnpyPbrKisryzmbkZHhnLXUOTY21jlrWTbLtubyey9i2X78fr9z1rJ+LfWtVct995ednV1hprCQYTReaNSokRo1alTiuTPPPLOKauOdryS57Ll/NJR5iiF7miGbYMiaKrzLkD1oyNY9ZAjvNWSbGrKWw6lkQ9a9DZfc21pbVrJ9IZZ14X6sZnOyIfuDIftP96hls2xlyFoOWY9+/lLaEkP2Z0P2IodMxU0saqj4/zwqkmg4Jcg0tEWWPbDlljJhTQxhSyXcD5kly1T9rQxZU4UtWbf5JI+w7KTqGLKW9luyHUc0M2Tbu0fbGQ7U9huq0MCQNagf6Z5t796NJEOxpq3SssrKH+dZ0k7HnGEVVBvjx4/XyJEj1a1bN/Xs2VMvvPCCtm/frhtuuEGSNGHCBO3cuVPz5s2TdKRD9qqrrtJTTz2lHj16FI+yjY2NVVJSUpUthwXTFwBAiKsp0xdMnTpVKSkpGjVqVInn58yZoz179ujOO++sopoBAKqlQnkzypW/uwIAagqv2s6isgyGDRumffv26cEHH1Rqaqo6deqkhQsXqmXLlpKk1NRUbd++vTj//PPPq6CgQDfeeKNuvPHG4uevvvpqzZ0714slCDimLwAAhITnn39eHTp0KPX8ySefrOeee64KagQAQM0ye/bsMp8vKCjQhAkTglwbAEBNM3bsWG3btk25ublau3atzjnnnOLX5s6dq88++6z435999pn8fn+pR6A6ZAPRRtIpCwAhrqbMKZuWlqbGjRuXer5BgwZKTU2tghoBAKq1Qg8fNcSf//xnXXbZZdq//78X5v773//WmWeeqbfeeqsKawYACAov287jrP0MRBtJpywAhLia0inbvHlz/etf/yr1/L/+9S81aWKZgA0AAFXpjb4yMjI0btw4tWzZUrGxserVq5dWr15d7nueffZZdezYUbGxsWrfvn3xnHm/NmPGDLVv316xsbFq3ry5br31VtM9JCqybt067dq1S6eccooWL16sZ599Vqeffro6deqk9evXe/Y5AIAQVUU3+qoOAtFGMqcsACAkjB49WuPGjVN+fr5+97vfSZL++c9/6o477tCf//znKq4dAADuRo8erQ0bNmj+/Plq0qSJXn31VfXr108bN25U06albwA0a9YsTZgwQS+++KLOOOMMrVq1Sn/6059Ut25dDR48WJL0f//3f7rrrrs0Z84c9erVS5s3b9Y111wjSXryySc9qXfr1q21dOlS3XrrrTr//PMVERGhefPmafjw4Z6UDwBAdRWINpJOWQAIcTXlRl933HGH9u/fr7FjxyovL0+SFBMTozvvvJN57AAAdl5dOmksIzs7WwsWLND7779fPBfepEmT9N5772nWrFmaPHlyqffMnz9fY8aM0bBhwyRJbdq00RdffKFHH320uFN2xYoVOuusszRixAhJUqtWrXTFFVdo1apVx7Bwpf3tb3/T66+/rl69emnTpk168cUXdc4553DVCgDUBF5OO3CcTV8ged9GMn0BAIS4mjB9QdHo2Ouuu0579uzRF198oa+++kr79+/XfffdV9XVAwBURx5ffpmenl7ikZubW+bHFhQUyOfzKSYmpsTzsbGxWrZsWZnvyc3NLTO/atUq5efnS5LOPvtsrV27trgT9scff9TChQt14YUXuq+TCowZM0ZDhw7VHXfcoaVLl+rrr79WdHS0TjnlFOaUBYCagOkLjioQbSSdsgCAKhcZGakNGzYoLCxMtWvX1hlnnKFOnTopOjq6qqsGAICkI3OfJyUlFT+mTp1aZi4hIUE9e/bUQw89pF9++UU+n0+vvvqqVq5cedQbVw4YMEAvvfSS1q5dK7/frzVr1mjOnDnKz8/X3r17JUnDhw/XQw89pLPPPluRkZFq27at+vbtq7vuusuzZfzXv/6llStX6rbbblNYWJgaNWqkhQsX6sEHH9SoUaM8+xwAAKqbQLSRTF8AACGupkxfcNVVV2n27Nl65JFHqroqAIDjgVejdP5Txo4dO5SYmFj8dHl/OJw/f75GjRqlpk2bKiIiQqeffrpGjBihL7/8ssz8vffeq7S0NPXo0UN+v18pKSm65pprNG3aNEVEREiSPvvsM02ZMkUzZ85U9+7dtWXLFt1yyy1q3Lix7r33Xg8WVFq7dm2Zy3XjjTeqX79+nnwGACCEeTnC9TgbKRuINpJOWQBASMjLy9NLL72kxYsXq1u3boqPjy/x+vTp06uoZgAASImJiSU6ZcvTtm1bLVmyRJmZmUpPT1fjxo01bNgwtW7dusx8bGys5syZo+eff167du1S48aN9cILLyghIUHJycmSjnTcjhw5UqNHj5YknXLKKcrMzNT111+viRMnKjz82C+CjI6O1g8//KCXX35ZP/zwg5566ik1bNhQH330kZo3b37M5QMAUF0Foo00dcpmZmYW33ylPJbRWIG6NLXoL8ouLAcwlmWLiopyzhYWus+AnJWV5Zy1rN+i+apcHG0OrWPNFhQUOGd/O+9WRWJjY52zlvX2246jqqiDz+f+JyjLerN8H5bv2fI7sqzfjIwM52ydOnWcs7Vr164w4/P5tGPHDucyLWrKSNkNGzbo9NNPlyRt3ry5xGuhXveK1Jbk8surZyizjSG73JBtb8g2dP/JSfsM2Z8M2dYbDOFNhmyyIVvxPuK/LG2XpdyDhmymIStJew1ZW9vsLidA2a6G7Pvu0Y2/uGe/MVRhjyH7hCHb2ZC1/O7nOWQCOYqmim709Wvx8fGKj4/XgQMHtGjRIk2bNq3cfGRkpJo1ayZJeuONNzRo0KDic5WsrKxS5y0RERHy+/3y+/2Vr+SvLFmyRAMHDtRZZ52lpUuXasqUKWrYsKG+/vprvfTSS3rnnXc8+RwX4XKbay/b/dRIPxo+/yRDNizOEK74dPq/Dhqy2wzZBEP2BEO2pWHh6u40FGw5MLBkmxmyjQxZSWplyLY1ZNPco7UMW3Hzje5Zy0FoT0PWsF0mlD09d5ksP0/3M09bc2gp13VrcD/7NuJGX0cViDaSkbIAUA1U905JF59++mlVVwEAcDwplDedvpU4qVy0aJH8fr/at2+vLVu26Pbbb1f79u117bXXSpImTJignTt3at68Iz3Xmzdv1qpVq9S9e3cdOHBA06dP14YNG/TKK68Ulzl48GBNnz5dXbp0KZ6+4N5779VFF11kGpBSnrvuukuTJ0/W+PHjlZDw3x6Svn376qmnnvLkMwAAIcyrtrOorONIINpIOmUBAAAAwEOHDh3ShAkT9PPPP6tevXq67LLLNGXKFEVGRkqSUlNTtX379uK8z+fTE088oU2bNikyMlJ9+/bV8uXL1apVq+LMPffco7CwMN1zzz3auXOnGjRooMGDB2vKlCme1fubb77Ra6+9Vur5Bg0aaN8+yyUPAAAcXwLRRtIpCwAhrqZMX1Bk48aN2r59e6npci666KIqqhEAoFryye36d5dyjIYOHaqhQ4ce9fW5c+eW+HfHjh21bt26csusVauW7r//ft1///32CjmqU6eOUlNTS819u27dOjVt2jRgnwsACBFetZ1FZR1HAtFG0ikLACGupnTK/vjjj7rkkkv0zTffKCwsrHh+vKJ6W+ZOBgAgFOaUrW5GjBihO++8U2+//bbCwsJUWFiof/3rX7rtttt01VVXVXX1AACBxpyyRxWINtKr/m8AAI7JLbfcotatW2vXrl2Ki4vTt99+q6VLl6pbt2767LPPqrp6AAAc96ZMmaIWLVqoadOmOnz4sE466ST17t1bvXr10j333FPV1QMAoMoEoo1kpCwAhLiaMlJ2xYoV+uSTT9SgQQOFh4crPDxcZ599tqZOnaqbb765wss6AQAooQqnL6iuIiMj9X//93966KGH9OWXX6qwsFBdunRRu3btqrpqAIBgYPqCowpEG0mnLAAgJPh8PtWuXVuSlJycrF9++UXt27dXy5YttWnTpiquHQAAx6fx48eX+/oXX3xR/P/Tp08PdHUAAAgZgW4j6ZQFgBBXU0bKdurUSV9//bXatGmj7t27a9q0aYqKitILL7ygNm3aVHX1AADVDXPKOvntlShr166Vz+dT+/btJUmbN29WRESEunbtWhXVAwAEE3PKlhDoNpJOWQAIcTWlU/aee+5RZmamJGny5MkaNGiQevfurfr16+vNN9+s4toBAKodpi9w8umnnxb///Tp05WQkKBXXnlFdevWlSQdOHBA1157rXr37l1VVQQABAvTF5QQ6DaSTlkAQEgYMGBA8f+3adNGGzdu1P79+1W3bt2Q71AGAOB48MQTT+jjjz8uPtmUpLp162ry5Mnq37+//vznP1dh7QAAqDqBaCO96v8GAARI0UhZLx6h6O6779aqVavKfK1evXohW28AQIjzefioIdLT07Vr165Sz+/evVsZGRlVUCMAQFB52XYeZ+1nINpI00jZzMxMRUZGVpiLiYlxLtOSzc/Pd85aFBQUBCRrWTaX9VqZOhQWuk/ikZWV5ZyNi4tzzmZnZwekDlFRUc5Zaz42NtY5W6uW+88oOjo6IFnL92H5HR0+fNg5Gx8f75z1+/0ByVrWg+W3kZOTU2HG5wtci3O8T1+QmpqqQYMGKSIiQoMHD9aQIUPUr18/028g1CVLctmrfG8oc6Eh+5Ahm2jIyn2XbcvuMGTz9rtno342FJxmyDY1ZN2PDWzZ2obsPkPWmrfUw8K9PbKxbBMH3aMtDcV+YshGGLKWqbg3GrJeN3eBnG/O71H57oci1d4ll1yia6+9Vk888YR69Ogh6chNTG6//XZdeumlQa3LN5Jcji5PMZR5ivspl7YbTj1bWE5T3Q+ZJcvpziFD1tB0aosh28CQPdPSzh40ZC37dUu2kSErSXUMWUujsc2QTXGP1jM0BIbfkcm/3aN7DMVaNkvLz+gXQzbTkG3vmLMcWpt41XYWlXUcCUQbyfQFAIAq9fLLL8vv92vZsmX64IMP9Oc//1k7d+7Ueeedp4suukiDBg1ScnJyVVcTAIDj3nPPPafbbrtNV155ZfEf8mvVqqXrrrtOjz32WBXXDgCAqhOINpJOWQAIccf7SFnpSN169+6t3r17a9q0afruu+/0wQcf6MUXX9T111+vHj166KKLLtIVV1yhpk0toxIBADWWT5IXTd9xdvlleeLi4jRz5kw99thj+uGHH+T3+3XCCSeYrogCAFRjXrWdRWUdRwLRRtIpCwAIOR07dlTHjh11xx13aM+ePfrggw/0/vvvS5Juu+22Kq4dAADHt/j4eJ166qlVXQ0AAEKOl20knbIAEOJqwkhZSRo/fnyZz4eFhSkmJkYXX3yxhgwZEuRaAQCqLUbKAgBgw0jZoKJTFgBCXE3plF23bp2+/PJL+Xw+tW/fXn6/X99//70iIiLUoUMHzZw5U7fddps+//xznXTSSVVdXQBAqCuUNzcrCeTNyAAACCVetZ1FZaFc4VVdAQAAJGnIkCHq16+ffvnlF61du1Zffvll8Q2/rrjiCu3cuVO9e/fWrbfeWtVVBQAAAADgmDBSFgBCXE0ZKfvYY49p8eLFSkxMLH4uMTFRkyZNUv/+/XXLLbfovvvuU//+/auwlgCAaoPpCwAAsGH6gqBipCwAhLiiTlkvHqHs0KFD2r17d6nn9+zZo/T0dElSnTp1lJeXF+yqAQCqo0IPHwAA1ARetp20nxWiUxYAEBKGDBmiUaNG6d1339XPP/+snTt36t1339V1112niy++WJK0atUqnXjiiVVbUQAAAAAAjhHTFwBAiKsp0xc8//zzuvXWWzV8+HAVFBRIkmrVqqWrr75aTz75pCSpQ4cOeumll6qymgCA6oLpCwAAsGH6gqAydcrm5ubK56t4rdaq5V5sTk6OczYyMtI5Gx0d7ZwND3cfMGzJFnUquIiKinLO+v1+5+yhQ4ecs5b1m52d7ZzNyMhwzsbGxjpnLd+xZNsuLevCko2IiHDOWpYvLi7OOVt0GbgLy7JlZWU5Zy3bu6Uj0bJdWrIu9XXZN6J8tWvX1osvvqgnn3xSP/74o/x+v9q2bavatWsXZ0477bSqq+AxiPnPoyJDDGVuMGRfNmTrG7Ld9rtn+/zFULDl59TEkP39m4ZwswBla1ccKeay1VQma/2b/MEAle1+nGSzz5A9aMgmu0d/3O6edT9MkvYYspbfUQND1v3QQNrlkOHSRhxFpNw2t52GMnPy3bPNDeWarj9NMGQN9TXV4aAhm2bI/mjItvnFPZu8yVCwYV+tEwzZvYasZGvvGwUoG6AxeJZjL/dTRFNb1NZwDLre0M7scI8qxZC1NN+uhwXuZ7MIZYyUBYAQV1NGyhapXbu2Tj311KquBgCguiuUN6N06DgGANQUXrWdRWWhXHTKAkCIq2mdshs3btT27dtL3dDroosuqqIaAQCqpUJ5cwkmJ5UAgJrCq7azqCyUi05ZAEBI+PHHH3XJJZfom2++UVhYWPFULUWdyUwRAQAAAAA4XlhmngEAVIGikbJePELZLbfcotatW2vXrl2Ki4vTt99+q6VLl6pbt2767LPPqrp6AIDqxufhAwCAmsDLtpP2s0KMlAWAEFdTpi9YsWKFPvnkEzVo0EDh4eEKDw/X2WefralTp+rmm2/WunXrqrqKAIDqxKuTQU4qAQA1hZdtHu1nhRgpCwAICT6fT7VrH7lTbXJysn755chdeVu2bKlNmyx33QUAAAAAILQxUhYAqoFQH+XqhU6dOunrr79WmzZt1L17d02bNk1RUVF64YUX1KZNm6quHgCguuFGXwAA2HCjr6CiUxYAEBLuueceZWZmSpImT56sQYMGqXfv3qpfv77efPPNKq4dAAAAAADeoVMWAEJcTZlTdsCAAcX/36ZNG23cuFH79+9X3bp1Q77uAIAQxJyyAADYMKdsUNEpCwAhrqZ0ykpSTk6Ovv76a+3evVuFhSWvd7nooouqqFYAgGqJ6QsAALBh+oKgMnXKRkZGqlatit9SUFDgXKbP59517vLZRXJzc52zRTeWcZGdne2c3bNnj3O2SZMmAalDUlKSczYrK8s5Gx0dHZBsenq6czYyMtI5K0kJCQmmvKvwcPf75UVERDhnLR1ofr+/ysu1fB+WfUReXp5ztn79+s7ZXbt2OWfz8/Ods6i8jz76SCNHjtS+fftKvRYWFmZqL0LNIUkurZJlCS17QPcWRqpjyB40ZJVhyOYYsl8Zsme470+U+E9Dwe0N2XhDNiZAWfdjgyMOBijr3hbY7DVkdwam3ExDsQcN2ThD1tB0fbbGPdvH/bBZauWQ8UlKM5SJGqOpJJejd0vbua1yValQE/dTT0VZ9g8/GbKBmn7f0rxYmkP3U2UpeZsh3NKQ3WDIWtvODoasZSVbdsKGcmtHuWcjDcdTlmO6Q+7RA4bOPsvarWfIWjb3FYbsRsecYbeDEObemwQAqBJFI2W9eFgtXbpUgwcPVpMmTRQWFqb33nvPqW6PPfaY+bNuuukmDR06VKmpqSosLCzxqM4dsgCAKlKoIz12x/pgpA8AoKbwqu2k/XRCpywAhLiq7JTNzMxU586d9cwzz5T5empqaonHnDlzFBYWpssuu8z8Wbt379b48eOVkpJifi8AAKV4dVLJ3wUBADWFl20n7WeFmFMWAHBUAwcO1MCBA4/6eqNGjUr8+/3331ffvn3Vpo39GrrLL79cn332mdq2bWt+LwAAAAAA1QmdsgAQ4ry+0ddv526Ojo42zf18NLt27dLf//53vfLKK5V6/zPPPKM//OEP+vzzz3XKKaeUmqf45ptvPuY6AgBqEK8um+TySwBATeFlm0f7WSE6ZQGghmnevHmJf99///2aNGnSMZf7yiuvKCEhQZdeemml3v/aa69p0aJFio2N1WeffVaiIzosLIxOWQAAAADAcYNOWQAIcV6PlN2xY4cSExOLn/dilKwkzZkzR3/84x8VE2O5x+l/3XPPPXrwwQd11113KTycKc8BAMfIJ8nvQTmM9AEA1BRetZ0S7acDOmUBIMR53SmbmJhYolPWC59//rk2bdqkN998s9Jl5OXladiwYXTIAgC8QacsAAA2dMoGFWe+AIBjNnv2bHXt2lWdO3eudBlXX331MXXqAgAAAABQXTBSFgBCnNcjZS0OHz6sLVu2FP9769atWr9+verVq6cWLVpIOnLjsLfffltPPPHEMdXP5/Np2rRpWrRokU499dRSN/qaPn36MZUPAKhhuNEXAAA23OgrqOiUBYAQV5WdsmvWrFHfvn2L/z1+/HhJR0a1zp07V5L0xhtvyO/364orrjim+n3zzTfq0qWLJGnDhg0lXvNi+QEANUyhvLkE06vLOAEACHVetZ3ysJzjWEA6ZQsL3bvDc3NznbMRERHO2dq1aztna9VyXw35+fnO2czMTOfsoUOHnLOW+mZnZztnLTf7+e0INq+ylu/YOu+k3+++R7Bsw5ZyLQoKCpyzlvpa1rFlWwvU78iy/eT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      "text/plain": [
       "<Figure size 1400x1300 with 18 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,13))\n",
    "plt.subplot(331)\n",
    "plt.imshow(stellar_sbmap.map,cmap='gray_r')\n",
    "plt.title('Surface Brightness')\n",
    "plt.colorbar(label='mag/arcsec$^2$')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(332)\n",
    "plt.imshow(stellar_agemap.map,cmap='hot')\n",
    "plt.title('Age_Star')\n",
    "plt.colorbar(label='dex')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(333)\n",
    "plt.imshow(stellar_fehmap.map,cmap='hot')\n",
    "plt.title('[Fe/H]_Star')\n",
    "plt.colorbar(label='dex')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(334)\n",
    "plt.imshow(stellar_velmap.map,cmap='bwr')\n",
    "plt.title('Vel_Star')\n",
    "plt.colorbar(label='km/s')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(335)\n",
    "plt.imshow(stellar_vdispmap.map,cmap='bwr')\n",
    "plt.title('Sig_Star')\n",
    "plt.colorbar(label='km/s')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(336)\n",
    "plt.imshow(gas_hamap.map,cmap='gray_r')\n",
    "plt.title(r'$H\\alpha$ Flux')\n",
    "plt.colorbar(label='10e-17 erg/s/cm^2')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(337)\n",
    "plt.imshow(gas_zhmap.map,cmap='gray_r')\n",
    "plt.title(r'[Z/H]_Gas')\n",
    "plt.colorbar(label='dex')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(338)\n",
    "plt.imshow(gas_velmap.map,cmap='bwr')\n",
    "plt.title('Vel_Gas')\n",
    "plt.colorbar(label='km/s')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.subplot(339)\n",
    "plt.imshow(gas_vdispmap.map,cmap='bwr')\n",
    "plt.title('Sig_Gas')\n",
    "plt.colorbar(label='km/s')\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "659639b1",
   "metadata": {},
   "source": [
    "# 恒星星族二维分布的模拟\n",
    "\n",
    "`map2d.StellarPopulationMap`用于整合用于模拟恒星连续谱的恒星星族物理参数二维分布，其中所有的输入均为class。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "eb4d89e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "ebvmap = m.Map2d(config)\n",
    "ebvmap.load_map(hdulist[5].data * 0 + 0.1)\n",
    "stellarcontinuum = m.StellarPopulationMap(config, sbright = stellar_sbmap, \n",
    "                                          logage = stellar_agemap, feh = stellar_fehmap, \n",
    "                                          vel = stellar_velmap, vdisp = stellar_vdispmap, \n",
    "                                          ebv = ebvmap)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8481f37",
   "metadata": {},
   "source": [
    "# 电离气体二维分布的模拟\n",
    "\n",
    "`map2d.IonizedGasMap`用于整合用于模拟电离气体发射线的气体物理参数二维分布，其中所有的输入均为class。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c1ae13c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "ionizedgas = m.IonizedGasMap(config, halpha = gas_hamap, \n",
    "                             zh = gas_zhmap, vel = gas_velmap, \n",
    "                             vdisp = gas_vdispmap, ebv = ebvmap)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}