diff --git a/dev/JaxPM_ODE.ipynb b/dev/JaxPM_ODE.ipynb new file mode 100644 index 0000000..c6d4a78 --- /dev/null +++ b/dev/JaxPM_ODE.ipynb @@ -0,0 +1,567 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 6, + "id": "2bb083b7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n", + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "458efc98", + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import jax.lax as lax\n", + "import jax_cosmo as jc" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "da00e618", + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "import flowpm\n", + "from flowpm.tfpower import linear_matter_power\n", + "import flowpm.scipy.interpolate as interpolate" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b588c18c", + "metadata": {}, + "outputs": [], + "source": [ + "from jaxpm.kernels import *\n", + "from jaxpm.painting import *" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f0cba7a4", + "metadata": {}, + "outputs": [], + "source": [ + "# Below are a few parameters\n", + "box_size = [100., 100., 100.] # Transverse comoving size of the simulation volume\n", + "nc = [100, 100, 100] # Number of transverse voxels in the simulation volume\n", + "batch_size = 1 # Number of simulations to run in parallel" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "8dad416f", + "metadata": {}, + "outputs": [], + "source": [ + "# Instantiates a cosmology with desired parameters\n", + "cosmology = flowpm.cosmology.Planck15()\n", + "\n", + "# Create some initial conditions\n", + "k = tf.constant(np.logspace(-4, 1, 128), dtype=tf.float32)\n", + "pk = linear_matter_power(cosmology, k)\n", + "pk_fun = lambda x: tf.cast(tf.reshape(interpolate.interp_tf(tf.reshape(tf.cast(x, tf.float32), [-1]), k, pk), x.shape), tf.complex64)\n", + "initial_conditions = flowpm.linear_field(nc,\n", + " box_size, \n", + " pk_fun, \n", + " batch_size=batch_size)\n", + "\n", + "initial_state = flowpm.lpt_init(cosmology, initial_conditions, 0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "5ad12a1e", + "metadata": {}, + "outputs": [], + "source": [ + "@tf.function\n", + "def solve_tf(init_state):\n", + " final_state = flowpm.nbody(cosmology, initial_state, linspace(0.1,1.,10), nc)\n", + " return final_state" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "7d4780a8", + "metadata": {}, + "outputs": [], + "source": [ + "final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "6a94dae9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.92 s ± 9.63 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "e5148fed", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(flowpm.cic_paint(tf.zeros([1]+nc), final_state[0]).numpy()[0].sum(axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "167d193f", + "metadata": {}, + "outputs": [], + "source": [ + "mesh_shape = nc\n", + "kvec = fftk(mesh_shape)\n", + "\n", + "# Define the ODE\n", + "def f(state, a, cosmo):\n", + " # Extracts positions and velocity at a given point in\n", + " # the simulation\n", + " pos, vel = state\n", + " \n", + " # Computes the potential given the current positions\n", + " delta_k = jnp.fft.rfftn(cic_paint(jnp.zeros(mesh_shape), pos))\n", + " pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec,r_split=0)\n", + " forces = jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), pos) \n", + " for i in range(3)],axis=-1)\n", + " forces = forces * 1.5 * cosmo.Omega_m\n", + " \n", + " # Computes the update of position (drift)\n", + " dpos = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * vel\n", + " \n", + " # Computes the update of velocity (kick)\n", + " dvel = 1. / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * forces\n", + " \n", + " return dpos, dvel" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "aa14a004", + "metadata": {}, + "outputs": [], + "source": [ + "from jax.experimental.ode import odeint" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "973ca031", + "metadata": {}, + "outputs": [], + "source": [ + "init_state = [initial_state[0,0].numpy(),\n", + " initial_state[1,0].numpy()]\n", + "\n", + "@jax.jit\n", + "def solve_ode(init_state):\n", + " return odeint(f, init_state, \n", + " jnp.linspace(0.1,1.0,10), \n", + " jc.Planck15())" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e801c3eb", + "metadata": {}, + "outputs": [], + "source": [ + "res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "de770afb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.86 s ± 44.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "73e7cc3c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(cic_paint(jnp.zeros(mesh_shape), res[0][-1]).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "a7f8b5d5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow((cic_paint(jnp.zeros(mesh_shape), res[0][-1]) - \n", + " flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]).numpy()[0]).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "68b72b68", + "metadata": {}, + "outputs": [], + "source": [ + "from DifferentiableHOS.pk import power_spectrum" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "785818e3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:AutoGraph could not transform .fn at 0x7f8f98401bd0> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:AutoGraph could not transform .fn at 0x7f8f98401bd0> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING: AutoGraph could not transform .fn at 0x7f8f98401bd0> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n", + "WARNING:tensorflow:AutoGraph could not transform .fn at 0x7f8f9852a830> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:AutoGraph could not transform .fn at 0x7f8f9852a830> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING: AutoGraph could not transform .fn at 0x7f8f9852a830> and will run it as-is.\n", + "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n", + "Cause: closure mismatch, requested ('Nsum', 'W', 'boxsize', 'dig', 'xsum'), but source function had ()\n", + "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n" + ] + } + ], + "source": [ + "k, pk = power_spectrum(flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]),\n", + " boxsize=np.array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)\n", + "\n", + "k, pk_jax = power_spectrum(tf.convert_to_tensor(cic_paint(jnp.zeros(mesh_shape), res[0][-1]).reshape([1,100,100,100])),\n", + " boxsize=np.array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "18e3d30b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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1: + kd = kd[:shape[d] // 2 + 1] + kdshape[d] = len(kd) + kd = kd.reshape(kdshape) + + k.append(kd.astype(dtype)) + del kd, kdshape + return k + +def gradient_kernel(kvec, direction, order=1): + """ + Computes the gradient kernel in the requested direction + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + direction: int + Index of the direction in which to take the gradient + Returns: + -------- + wts: array + Complex kernel + """ + if order == 0: + wts = 1j * kvec[direction] + wts = jnp.squeeze(wts) + wts[len(wts) // 2] = 0 + wts = wts.reshape(kvec[direction].shape) + return wts + else: + w = kvec[direction] + a = 1 / 6.0 * (8 * jnp.sin(w) - jnp.sin(2 * w)) + wts = a * 1j + return wts + +def laplace_kernel(kvec): + """ + Compute the Laplace kernel from a given K vector + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + Returns: + -------- + wts: array + Complex kernel + """ + kk = sum(ki**2 for ki in kvec) + mask = (kk == 0).nonzero() + kk[mask] = 1 + wts = 1. / kk + imask = (~(kk == 0)).astype(int) + wts *= imask + return wts + +def longrange_kernel(kvec, r_split): + """ + Computes a long range kernel + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + r_split: float + TODO: @modichirag add documentation + Returns: + -------- + wts: array + kernel + """ + if r_split != 0: + kk = sum(ki**2 for ki in kvec) + return np.exp(-kk * r_split**2) + else: + return 1. diff --git a/jaxpm/painting.py b/jaxpm/painting.py new file mode 100644 index 0000000..6eb1925 --- /dev/null +++ b/jaxpm/painting.py @@ -0,0 +1,51 @@ +import jax +import jax.numpy as jnp +import jax.lax as lax + +def cic_paint(mesh, positions): + """ Paints positions onto mesh + mesh: [nx, ny, nz] + positions: [npart, 3] + """ + positions = jnp.expand_dims(positions, 1) + floor = jnp.floor(positions) + connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], + [0., 0, 1], [1., 1, 0], [1., 0, 1], + [0., 1, 1], [1., 1, 1]]]) + + neighboor_coords = floor + connection + kernel = 1. - jnp.abs(positions - neighboor_coords) + kernel = kernel[..., 0] * kernel[..., 1] * kernel[..., 2] + + neighboor_coords = jnp.mod(neighboor_coords.reshape([-1,8,3]).astype('int32'), jnp.array(mesh.shape)) + + dnums = jax.lax.ScatterDimensionNumbers( + update_window_dims=(), + inserted_window_dims=(0, 1, 2), + scatter_dims_to_operand_dims=(0, 1, 2)) + mesh = lax.scatter_add(mesh, + neighboor_coords, + kernel.reshape([-1,8]), + dnums) + return mesh + +def cic_read(mesh, positions): + """ Paints positions onto mesh + mesh: [nx, ny, nz] + positions: [npart, 3] + """ + positions = jnp.expand_dims(positions, 1) + floor = jnp.floor(positions) + connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], + [0., 0, 1], [1., 1, 0], [1., 0, 1], + [0., 1, 1], [1., 1, 1]]]) + + neighboor_coords = floor + connection + kernel = 1. - jnp.abs(positions - neighboor_coords) + kernel = kernel[..., 0] * kernel[..., 1] * kernel[..., 2] + + neighboor_coords = jnp.mod(neighboor_coords.astype('int32'), jnp.array(mesh.shape)) + + return (mesh[neighboor_coords[...,0], + neighboor_coords[...,1], + neighboor_coords[...,3]]*kernel).sum(axis=-1) diff --git a/setup.py b/setup.py new file mode 100644 index 0000000..44be5a1 --- /dev/null +++ b/setup.py @@ -0,0 +1,11 @@ +from setuptools import setup, find_packages + +setup( + name='JaxPM', + version='0.0.1', + url='https://github.com/DifferentiableUniverseInitiative/JaxPM', + author='JaxPM developers', + description='A dead simple FastPM implementation in JAX', + packages=find_packages(), + install_requires=['jax', 'jax_cosmo'], +) \ No newline at end of file