diff --git a/Tutorials/Coefficients/disk_metrics_example.ipynb b/Tutorials/Coefficients/disk_metrics_example.ipynb new file mode 100644 index 0000000..64fdaf2 --- /dev/null +++ b/Tutorials/Coefficients/disk_metrics_example.ipynb @@ -0,0 +1,559 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8ec6c528", + "metadata": {}, + "source": [ + "This tutorial will go through creating a disk basis from a custom density function, computing coefficients from an input analytic density function, and computing some metrics for getting a sense of how well the basis is reconstructing the input density " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "b9c8eef8", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pyEXP\n", + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "01a57146", + "metadata": {}, + "outputs": [], + "source": [ + "# we start out by making a python file for the disk density, which takes in cylindrical R, z, and phi\n", + "body = (\"a = .1 # Scale radius \\n\"\n", + " \"h = 0.0125 # Scale height \\n\"\n", + " \"Rmax = 5.0*a # Maximum radius \\n\"\n", + " \"zmax = 8.0*h # Maximum height \\n\"\n", + " \"Rwid = 0.2*a # Rollover length \\n\"\n", + " \"zwid = 0.2*h # Rollover height \\n\"\n", + " \"f = math.erf( (R - Rmax)/Rwid ) \\n\"\n", + " \"g = math.erf( (math.fabs(z) - zmax)/zwid ) \\n\"\n", + " \"return (1.0 - f)*(1.0 - g)*0.25\")\n", + "\n", + "with open(f'pydensfile.py', 'w') as f:\n", + " f.write(\"import math\\n\\n\")\n", + " f.write(f\"# lozenge disk density -- this is fat in r and z \\n\")\n", + " f.write(f\"def disk_density(R, z, phi):\\n\")\n", + " # indent body lines by 4 spaces\n", + " for line in body.splitlines():\n", + " f.write(\" \" + line + \"\\n\")\n", + " f.write(\"\\n\")\n", + " f.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "80f7ca00", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---- Cylindrical: using original exponential deprojected disk for EOF conditioning\n", + "---- Cylindrical: consider using the exact, spherically deprojected exponential with 'mtype: ExpSphere'\n", + "---- EmpCylSL::ReadH5Cache: read \n", + "---- EmpCylSL::read_cache: table forwarded to all processes\n", + "---- Cylindrical::orthoTest: worst=0.00136691\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Worker 0: tables allocated, MMAX=4\n" + ] + } + ], + "source": [ + "# now we define our basis yaml file\n", + "\n", + "##the pcavar. subsamp, totalCovar, and fullCovar are all specified so that we can compute signal to noise of the coefficients later\n", + "disk_config = \"\"\"\n", + "---\n", + "id: cylinder\n", + "parameters:\n", + " acyl: 0.1 # for python dtype, acyl, hcyl help define coord transform instead of being the actual scale height or length\n", + " hcyl: 0.0125 # for python dtype, acyl, hcyl help define coord transform instead of being the actual scale height or length \n", + " lmaxfid: 24 # The maximum spherical harmonic order for the input basis ---- this is LOW to run on laptop\n", + " nmaxfid: 16 # The radial order for the input spherical basis ---- this is LOW to run on laptop\n", + " mmax: 4 # The maximum azimuthal order for the cylindrical basis -- also low \n", + " nmax: 12 # The maximum radial order of the cylindrical basis -- also low\n", + " ncylnx: 128 # The number of grid points in mapped cylindrical radius - low\n", + " ncylny: 64 # The number of grid points in mapped verical scale - low\n", + " ncylodd: 2 # The number of anti-symmetric radial basis functions per azimuthal order m\n", + " rnum: 1000 # The number of radial integration knots in the inner product\n", + " pnum: 0 # The number of azimuthal integration knots (pnum: 0, assume axisymmetric target density)\n", + " tnum: 80 # The number of colatitute integration knots\n", + " ashift: 0.5 # Target shift length in scale lengths to create more variance\n", + " vflag: 16 # Verbosity flag: print diagnostics to stdout for vflag>0\n", + " logr: false # Log scaling in cylindrical radius\n", + " dtype: python # Use user-supplied python module\n", + " pyname: pydensfile # The module name\n", + " pcavar: true # turn on covariance\n", + " subsamp: 100 #number of subsamples\n", + " totalCovar: true #compute total covariance\n", + " fullCovar: true #compute covariance per subsample\n", + " cachename: lozenge_pydensfile # The cache file name\n", + "...\n", + "\"\"\"\n", + "#while this _does_ run on a laptop, it takes a few minutes -- patience is a virtue\n", + "disk_basis = pyEXP.basis.Basis.factory(disk_config)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c575882c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#lets take a look at this basis! pretty zoomed in here\n", + "Rmin = 0.0\n", + "Rmax = 0.05\n", + "Rnum = 100\n", + "Zmin = -0.01\n", + "Zmax = 0.01\n", + "Znum = 50\n", + "R = np.linspace(Rmin, Rmax, Rnum)\n", + "Z = np.linspace(Zmin, Zmax, Znum)\n", + "\n", + "xv, yv = np.meshgrid(R, Z)\n", + "\n", + "disk_grid = disk_basis.getBasis(Rmin, Rmax, Rnum, Zmin, Zmax, Znum)\n", + "\n", + "fig, ax = plt.subplots(3, 3, figsize=(15, 15))\n", + "for m in range(3):\n", + " for n in range(3):\n", + " # Tranpose for contourf\n", + " cx = ax[m][n].contourf(xv, yv, disk_grid[m][n]['density'].transpose(), cmap='PuOr')\n", + " ax[m][n].set_xlabel('R')\n", + " ax[m][n].set_ylabel('Z')\n", + " ax[m][n].set_title('m, n={}, {}'.format(m, n))\n", + " fig.colorbar(cx, ax=ax[m][n])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "4de858bb", + "metadata": {}, + "outputs": [], + "source": [ + "# define the analytic density function for which we want to get coefficients\n", + "# lets just do an exponential disk density\n", + "def disk_density(x, y, z, t):\n", + " R = math.sqrt(x*x + y*y)\n", + " a = 0.01 # Scale radius\n", + " h = 0.002 # Scale height\n", + " f = math.exp(-R/a)\n", + " g = math.exp(-2*math.fabs(z)/h)\n", + " return f * g/(1 + g)**2 /( np.pi*a*a*h/2 )\n", + "\n", + "#get the coefficients for the disk density function - 0.0 here is the time, anything in the curly brackets are parameters passed to\n", + "#the basis, here we pass number of knots\n", + "coef = disk_basis.makeFromFunction(disk_density, {'knots': 200}, 0.0)\n", + "coefs = pyEXP.coefs.Coefs.makecoefs(coef)\n", + "coefs.add(coef)\n", + "data = coefs.getAllCoefs()\n", + "power = coefs.Power()\n", + "disk_basis.set_coefs(coef) ### this part is critical!! will NOT just get picked up otherwise, unlike the particle data below\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "9b72aa04", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Power in m for disk_density')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#lets plot coefficient info\n", + "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5))\n", + "ax1.imshow(abs(data.T)[0,:,:], cmap='Blues')\n", + "ax1.set_xlabel('m')\n", + "ax1.set_ylabel('n')\n", + "ax1.set_title('abs(coefficient) for disk_density')\n", + "\n", + "ax2.plot(power[0,:], c='dodgerblue')\n", + "ax2.set_xticks(np.arange(0, 5, 1))\n", + "ax2.set_xlabel('m')\n", + "ax2.set_ylabel('power')\n", + "ax2.set_title('Power in m for disk_density')\n" + ] + }, + { + "cell_type": "markdown", + "id": "214b6391", + "metadata": {}, + "source": [ + "Now we compute the mean integrated square error between the basis and our analytic function. We also include code for how to compute the MISE for a distribution of particles (like as in a simulation)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "2a954044", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean Integrated Square Error for disk_density: 227885.81239256138\n", + "Mean Integrated Square Error for disk_density_alt: 5278.4608790999855\n" + ] + } + ], + "source": [ + "# Compute the mean-integrated-square-error integrand between the analytic and basis \n", + "def MISE(x, y, z):\n", + " a, b = disk_basis(x, y, z)\n", + " val = disk_density(x, y, z, 0)\n", + " return (val + a[2]*np.pi*4)*(val + a[2]*np.pi*4)\n", + "\n", + "mse = disk_basis.computeQuadrature(MISE, {'knots': 80})\n", + "print('Mean Integrated Square Error for disk_density: ', mse)\n", + "\n", + "#what if we tried a different scale height & scale length?\n", + "\n", + "\n", + "def disk_density_alt(x, y, z, t):\n", + " R = math.sqrt(x*x + y*y)\n", + " a = 0.1 # Scale radius\n", + " h = 0.0125 # Scale height\n", + " f = math.exp(-R/a)\n", + " g = math.exp(-2*math.fabs(z)/h)\n", + " return f * g/(1 + g)**2 /( np.pi*a*a*h/2 )\n", + "\n", + "def MISE(x, y, z):\n", + " a, b = disk_basis(x, y, z)\n", + " val = disk_density_alt(x, y, z, 0)\n", + " return (val + a[2]*np.pi*4)*(val + a[2]*np.pi*4)\n", + "\n", + "mse = disk_basis.computeQuadrature(MISE, {'knots': 80})\n", + "print('Mean Integrated Square Error for disk_density_alt: ', mse)\n", + "#note that the alternative disk density has scale height/radius closer to the basis, and has smaller MSE as anticipated" + ] + }, + { + "cell_type": "markdown", + "id": "102c3d79", + "metadata": {}, + "source": [ + "# computing some metrics from particle data. Here we use one of the snapshot outputs created in the Tutorials/EXP/disk halo.ipynb notebook" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "443654a2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---- Cylindrical: using original exponential deprojected disk for EOF conditioning\n", + "---- Cylindrical: consider using the exact, spherically deprojected exponential with 'mtype: ExpSphere'\n", + "---- EmpCylSL::ReadH5Cache: read \n", + "---- EmpCylSL::read_cache: table forwarded to all processes\n", + "---- Cylindrical::orthoTest: worst=0.00136691\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Worker 0: tables allocated, MMAX=4\n" + ] + } + ], + "source": [ + "#exp phase space reader - feed in type of file, list of snapshots, 0 for no mpi, and then verbose flag\n", + "#file types: PSPout PSPspl GadgetNative GadgetHDF5 PSPhdf5 TipsyNative TipsyXDR Bonsai1 Bonsai\n", + "reader = pyEXP.read.ParticleReader.createReader('PSPout', ['/mnt/home/cfilion/basis_explore/pyEXP-examples/Tutorials/Data/OUT.run0.00014'], 0, True)\n", + "disk_basis = pyEXP.basis.Basis.factory(disk_config)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "42aac5d7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "index, mass, x, y, z = 1 2.499999936844688e-06 -0.024796808138489723 -0.020248208194971085 0.0005109473131597042\n", + "index, mass, x, y, z = 2 2.499999936844688e-06 -0.003697120351716876 -0.0013143334072083235 -0.0003451256488915533\n", + "index, mass, x, y, z = 3 2.499999936844688e-06 -0.009376737289130688 0.0032472845632582903 0.0009379141265526414\n", + "index, mass, x, y, z = 4 2.499999936844688e-06 -0.012227064929902554 0.007487384602427483 -0.0005084450822323561\n", + "index, mass, x, y, z = 5 2.499999936844688e-06 -0.003187113208696246 -0.0060020205564796925 -0.0022160853259265423\n" + ] + } + ], + "source": [ + "#set up an iterator to get the particle position information, you could revise to include mass etc\n", + "#here we also print out the index, mass, and position of the first few particles\n", + "reader.GetTypes()\n", + "#we want star particles in the disk\n", + "reader.SelectType('star disk')\n", + "all_pos = []\n", + "#define our function, here we just append to a list defined out of the function\n", + "def return_particles(mass, pos, vel, index):\n", + " if index<=5:\n", + " print('index, mass, x, y, z =', index, mass, pos[0], pos[1], pos[2])\n", + " all_pos.append(list(pos))\n", + " return \n", + "#and now we run it - pos_data is our final numpy array of positions\n", + "pyEXP.util.particleIterator(reader, return_particles)\n", + "pos_data = np.array(all_pos)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "20e6ae22", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-0.1, 0.1)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#lets plot to see what it looks like\n", + "plt.scatter(pos_data[:,0], pos_data[:,1], c='k', s=.1)\n", + "plt.xlabel('x (rvir)')\n", + "plt.ylabel('y (rvir)')\n", + "plt.ylim(-.1, .1)\n", + "plt.xlim(-.1, .1)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1ed533b6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---- KDdensity: finished density estimate with 0 undetermined densities, mass=1\n", + "---- KDdensity: a few densities are 54694.4, 112126, 5288.08\n", + "---- KDdensity: bad density count is 0 of 10000 particles.\n" + ] + } + ], + "source": [ + "#EXP provides a nice particle-based KDE, we can use this to get density estimates from the data\n", + "#assuming equal mass particles that sum to 1, so mass = 1/N - can of course read in mass info too etc\n", + "kddens = pyEXP.util.KDdensity(mass = 1/pos_data.shape[0]*np.ones(pos_data.shape[0]), \n", + " pos = pos_data, Ndens = 16)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "6dc89543", + "metadata": {}, + "outputs": [], + "source": [ + "#lets make coefficients from this distribution -\n", + "empirical_coef = disk_basis.createFromArray(1/pos_data.shape[0]*np.ones(pos_data.shape[0]), \n", + " pos_data, time=0.0)\n", + "empirical_coefs = pyEXP.coefs.Coefs.makecoefs(empirical_coef, 'halo')\n", + "\n", + "empirical_coefs.add(empirical_coef)\n", + "empirical_coefs.setUnits([('length', 'none', 1),\n", + " ('mass', 'none', 1),\n", + " ('time', 'none', 1),\n", + " ('G', 'none', 1)])" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "e6848388", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SubsampleCovariance: reading basis type Cylindrical\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#now lets compute the signal to noise of the coefficients\n", + "disk_basis.enableCoefCovariance(True, 100) #turning on coefcovariance with 100 subsamples\n", + "disk_basis.writeCoefCovariance('star','tutorial_covar', 0.0) #what component, name for saving out, and timestep\n", + "covar = pyEXP.basis.CovarianceReader('coefcovar.star.tutorial_covar.h5') #reading in the covariance file we just wrote out\n", + "counts, masses, coefs_cov, covrs = covar.getCoefCovariance(0.0) #and getting covariance at 0.0\n", + "\n", + "mmax = 4\n", + "nmax = 12\n", + "nsamp = counts.shape[0]\n", + "fig, ax = plt.subplots(1, 1, figsize=(12, 6))\n", + "for m in range(mmax+1):\n", + " sumCoef = np.zeros((nmax), dtype=np.complex128)\n", + " for T in range(nsamp):\n", + " sumCoef += coefs_cov[T, m, :]\n", + " sumCoef /= nsamp\n", + " varmat=np.zeros((nmax, nsamp), dtype=np.complex128)\n", + " for T in range(nsamp):\n", + " varmat[:, T] = coefs_cov[T, m, :]\n", + " val = np.cov(varmat)\n", + " sn = np.zeros(val.shape[0])\n", + " sig = np.zeros(val.shape[0])\n", + " for i in range(val.shape[0]):\n", + " sn[i] = np.abs(sumCoef[i])**2 * nsamp / np.abs(val[i, i])\n", + " sig[i] = np.abs(sumCoef[i])**2 * nsamp\n", + " ax.semilogy(sn, label='m='+str(m))\n", + "ax.set_xlabel('n')\n", + "ax.set_ylabel('signal to noise')\n", + "ax.set_title('Signal to Noise for m, n')\n", + "ax.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "bf70e634", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "full MISE for all disk particles: 145210702562.49203\n" + ] + } + ], + "source": [ + "#now we can use this density to compute the MISE using the particle data as follows, using our basis from above:\n", + "\n", + "def fullMISE(dat, disk_basis, disk_kde):\n", + " MISE = 0.0\n", + " for i in range(len(dat[:,0])):\n", + " a, b = disk_basis(dat[i, 0], dat[i, 1], dat[i, 2])\n", + " d = disk_kde.getDensityAtPoint(dat[i, 0], dat[i, 1], dat[i, 2]) + 4*np.pi*a[2]\n", + " MISE += d*d\n", + " return MISE/len(dat[:,0])\n", + "\n", + "#is this missing a mass factor somewhere?\n", + "print('full MISE for all disk particles: ', fullMISE(pos_data, disk_basis, kddens))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8f53da16", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "basis_kern", + "language": "python", + "name": "basis_kern" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}