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May 1, 2025 14:00
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "f647bf37", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import os\n", | |
"\n", | |
"os.chdir(\"/Users/aprice-whelan/projects/gala/EXP-gala-test\")\n", | |
"\n", | |
"import astropy.coordinates as coord\n", | |
"import astropy.table as at\n", | |
"import astropy.units as u\n", | |
"import matplotlib as mpl\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import pyEXP\n", | |
"import h5py\n", | |
"\n", | |
"import gala.coordinates as gc\n", | |
"import gala.dynamics as gd\n", | |
"import gala.potential as gp\n", | |
"from gala.units import SimulationUnitSystem, galactic\n", | |
"\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "4e3fbb00", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"pot = gp.HernquistPotential(m=1e11, c=2.5, units=galactic)\n", | |
"usys = SimulationUnitSystem(mass=pot.parameters[\"m\"], length=pot.parameters[\"c\"], G=1)\n", | |
"# usys = galactic" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "cde373d6", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"r_grid = np.geomspace(1e-3, 1e2, 1024) * u.kpc\n", | |
"\n", | |
"xyz_grid = np.zeros((3, r_grid.size)) * u.kpc\n", | |
"xyz_grid[0] = r_grid" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "49dcb769", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"filename = \"hernquist.model\"\n", | |
"\n", | |
"tbl = at.Table()\n", | |
"tbl[\"r\"] = r_grid.decompose(usys).value\n", | |
"tbl[\"density\"] = pot.density(xyz_grid).decompose(usys).value\n", | |
"tbl[\"mass\"] = pot.mass_enclosed(xyz_grid).decompose(usys).value\n", | |
"tbl[\"energy\"] = pot.energy(xyz_grid).decompose(usys).value / usys.get_constant(\"G\")\n", | |
"tbl.meta[\"comments\"] = [\"! r density mass energy\", f\"{len(tbl)}\"]\n", | |
"tbl.write(filename, format=\"ascii.no_header\", delimiter=\" \", overwrite=True, comment=\"\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "317e398f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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| |
"text/plain": [ | |
"<Figure size 1152x288 with 3 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 296, | |
"width": 1160 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, axes = plt.subplots(1, 3, figsize=(16, 4), sharex=True)\n", | |
"\n", | |
"for ax, col in zip(axes, [\"density\", \"mass\", \"energy\"]):\n", | |
" ax.plot(tbl[\"r\"], tbl[col])\n", | |
" ax.set_xlabel(\"r\")\n", | |
" ax.set_ylabel(col)\n", | |
" ax.set_xscale(\"log\")\n", | |
"axes[0].set_yscale(\"log\")\n", | |
"axes[1].set_yscale(\"log\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "790a6203", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"! r density mass energy\n", | |
"1024\n", | |
"0.0004000000000000001 397.4102746178306 1.5987207701453586e-07 -0.9996001599360262\n", | |
"0.00040452705879904036 392.95752497297855 1.6350982650666492e-07 -0.9995956365171719\n", | |
"0.0004091053532515056 388.5546061078096 1.6723033268911915e-07 -0.9995910619454964\n", | |
"0.000413735463224435 384.2009603675977 1.7103547764072738e-07 -0.9995864356430171\n", | |
"0.000418417975147598 379.89603633833946 1.7492718622322196e-07 -0.9995817570252317\n", | |
"0.00042315348208776934 375.6392887769124 1.789074270527745e-07 -0.9995770255010449\n", | |
"0.00042794258382384436 371.430178542018 1.829782134938937e-07 -0.9995722404726943\n", | |
"0.0004327858869228038 367.26817252589615 1.8714160467587775e-07 -0.9995674013356746\n", | |
"\n" | |
] | |
} | |
], | |
"source": [ | |
"with open(filename, \"r\") as f:\n", | |
" print(\"\".join(f.readlines()[:10]))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "7b1e666d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"\n", | |
"---\n", | |
"id: sphereSL\n", | |
"parameters :\n", | |
" numr: 1024\n", | |
" rmin: 0.0004\n", | |
" rmax: 40.0\n", | |
" Lmax: 2\n", | |
" nmax: 20\n", | |
" modelname: hernquist.model\n", | |
" cachename: hernquist.cache\n", | |
"...\n", | |
"\n", | |
"---- SLGridSph::ReadH5Cache: successfully read basis cache <hernquist.cache>\n", | |
"---- Spherical::orthoTest: worst=0.00475215\n" | |
] | |
} | |
], | |
"source": [ | |
"lmax = 2\n", | |
"nmax = 20\n", | |
"\n", | |
"bconfig = f\"\"\"\n", | |
"---\n", | |
"id: sphereSL\n", | |
"parameters :\n", | |
" numr: {len(tbl)}\n", | |
" rmin: {tbl[\"r\"].min():.4f}\n", | |
" rmax: {tbl[\"r\"].max():.1f}\n", | |
" Lmax: {lmax}\n", | |
" nmax: {nmax}\n", | |
" modelname: hernquist.model\n", | |
" cachename: hernquist.cache\n", | |
"...\n", | |
"\"\"\"\n", | |
"print(bconfig)\n", | |
"basis = pyEXP.basis.Basis.factory(bconfig)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "551f3dbb", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"l_size = (lmax + 1) * (lmax + 2) // 2\n", | |
"coef_arr = np.zeros((l_size, nmax), dtype=np.complex128)\n", | |
"coef_arr[0, 0] = 2.05 # TODO: why is this the coefficient value??" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "0d7bdd73", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Create coefficients with a dummy particle at time=0\n", | |
"coef = basis.createFromArray([1.0], [[1.0], [1.0], [1.0]], time=0.0)\n", | |
"coefs = pyEXP.coefs.Coefs.makecoefs(coef, \"hernquist\")\n", | |
"coef.assign(coef_arr, lmax, nmax)\n", | |
"basis.set_coefs(coef)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "b070af84", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# q = np.array([5., 6., 7.])\n", | |
"# q = np.zeros((3, 10)) * u.kpc\n", | |
"# q[0] = r_grid * u.kpc\n", | |
"q = xyz_grid\n", | |
"fields = np.array([basis.getFields(*qq) for qq in q.T.to_value(usys[\"length\"])]).T\n", | |
"\n", | |
"pot_E = (fields[5] * usys.get_constant(\"G\") * usys[\"specific energy\"]).decompose(\n", | |
" galactic\n", | |
")\n", | |
"acc = fields[6:9]\n", | |
"dens = fields[2]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "39c90e8b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(<Quantity [-0.18050011, -0.18049905, -0.18049798, ..., -0.00443331,\n", | |
" -0.00438422, -0.00433568] kpc2 / Myr2>,\n", | |
" <Quantity [-0.17986814, -0.17986732, -0.1798665 , ..., -0.0044862 ,\n", | |
" -0.00443723, -0.00438878] kpc2 / Myr2>)" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"gala_pot_E = pot.energy(q)\n", | |
"gala_acc = pot.acceleration(q)\n", | |
"gala_dens = pot.density(q)\n", | |
"pot_E, gala_pot_E" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "9b22be4d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Potential Energy')" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 296, | |
"width": 440 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(6, 4))\n", | |
"plt.plot(r_grid.value, gala_pot_E.value, label=\"gala\")\n", | |
"plt.plot(r_grid.value, pot_E.value, label=\"pyEXP\")\n", | |
"plt.xscale(\"log\")\n", | |
"plt.legend(fontsize=16)\n", | |
"plt.xlabel(\"r\")\n", | |
"plt.ylabel(\"Potential Energy\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "9b0824d4", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# GM = usys.get_constant(\"G\") * pot.parameters[\"m\"].value\n", | |
"\n", | |
"# fac = 1 / (usys.get_constant(\"G\") * pot.parameters[\"m\"].value)\n", | |
"# fac = 1." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "69173415", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, '$a_x$ [$\\\\mathrm{kpc\\\\,Myr^{-2}}$]')" | |
] | |
}, | |
"execution_count": 14, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 296, | |
"width": 440 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"acc_fac = usys[\"acceleration\"].to(galactic[\"acceleration\"]) * usys.get_constant(\"G\")\n", | |
"\n", | |
"plt.figure(figsize=(6, 4))\n", | |
"plt.plot(r_grid.value, gala_acc[0].value, label=\"gala\")\n", | |
"plt.plot(r_grid.value, acc[0] * acc_fac, label=\"pyEXP\")\n", | |
"plt.xscale(\"log\")\n", | |
"plt.legend(fontsize=16)\n", | |
"plt.xlabel(f\"r [{r_grid.unit:latex_inline}]\")\n", | |
"plt.ylabel(f\"$a_x$ [{gala_acc.unit:latex_inline}]\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "9b30cfee", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"dens_fac = usys[\"mass density\"].to(galactic[\"mass density\"])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "a0d3bcab", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, '$\\\\rho$ [$\\\\mathrm{M_{\\\\odot}\\\\,kpc^{-3}}$]')" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 296, | |
"width": 440 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(6, 4))\n", | |
"plt.plot(r_grid.value, gala_dens.value, label=\"gala\")\n", | |
"plt.plot(r_grid.value, dens * dens_fac, label=\"pyEXP\")\n", | |
"plt.xscale(\"log\")\n", | |
"plt.yscale(\"log\")\n", | |
"plt.legend(fontsize=16)\n", | |
"plt.xlabel(f\"r [{r_grid.unit:latex_inline}]\")\n", | |
"plt.ylabel(r\"$\\rho$\" + f\" [{gala_dens.unit:latex_inline}]\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "611b3102", | |
"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": "3.12.7" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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