JaxPM/dev/JaxPM_ODE.ipynb
2022-02-14 01:59:12 +01:00

674 lines
356 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"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": 2,
"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": 3,
"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": 4,
"id": "b588c18c",
"metadata": {},
"outputs": [],
"source": [
"from jaxpm.kernels import *\n",
"from jaxpm.painting import *"
]
},
{
"cell_type": "code",
"execution_count": 5,
"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": 6,
"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": 73,
"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.,40), nc)\n",
" return final_state"
]
},
{
"cell_type": "code",
"execution_count": 74,
"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": [
"4.89 s ± 12.2 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": 17,
"id": "e5148fed",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f9774507880>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"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": 7,
"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": 8,
"id": "aa14a004",
"metadata": {},
"outputs": [],
"source": [
"from jax.experimental.ode import odeint"
]
},
{
"cell_type": "code",
"execution_count": 9,
"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(),rtol=1e-5, atol=1e-5 )"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "e801c3eb",
"metadata": {},
"outputs": [],
"source": [
"res = solve_ode(init_state)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "de770afb",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"352 ms ± 1.01 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": 18,
"id": "73e7cc3c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f977c4261a0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imshow(cic_paint(jnp.zeros(mesh_shape), initial_state[0,0].numpy()).sum(axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "4bdfe23f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f94181834c0>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"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": 28,
"id": "a7f8b5d5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f940073dd80>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"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": 29,
"id": "68b72b68",
"metadata": {},
"outputs": [],
"source": [
"from DifferentiableHOS.pk import power_spectrum"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "785818e3",
"metadata": {},
"outputs": [],
"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": 31,
"id": "18e3d30b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f94005fc850>]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"loglog(k,pk[0])\n",
"loglog(k,pk_jax[0])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "c2c1ecdb",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f94005693f0>]"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"semilogx(k,(pk[0] - pk_jax[0])/pk[0])"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "703c8195",
"metadata": {},
"outputs": [],
"source": [
"import diffrax\n",
"from diffrax import diffeqsolve, ODETerm, Dopri5, LeapfrogMidpoint, PIDController\n",
"\n",
"cosmo = jc.Planck15()\n",
"\n",
"def f_diffrax(t, state, args):\n",
" return jnp.stack(f(state, t, cosmo),axis=0)\n",
"\n",
"term = ODETerm(f_diffrax)\n",
"solver = Dopri5()\n",
"stepsize_controller = PIDController(rtol=1e-5, atol=1e-5)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "d6921f17",
"metadata": {},
"outputs": [],
"source": [
"solution = diffeqsolve(term, solver, t0=0.1, t1=1., dt0=0.1,\n",
" y0=jnp.stack(init_state,axis=0), \n",
" stepsize_controller=stepsize_controller)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "b3083d29",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Solution(t0=DeviceArray(0.1, dtype=float32), t1=DeviceArray(1., dtype=float32), ts=DeviceArray([1.], dtype=float32, weak_type=True), ys=DeviceArray([[[[ -2.628675 , 5.347485 , -1.5904427 ],\n",
" [ -2.5886178 , 5.4675574 , -1.8807749 ],\n",
" [ -2.6215632 , 5.6189113 , -1.9770483 ],\n",
" ...,\n",
" [ 97.6788 , 105.22156 , 96.64059 ],\n",
" [ 97.459785 , 105.74062 , 97.79143 ],\n",
" [ 97.26484 , 105.98253 , 98.37041 ]],\n",
"\n",
" [[ -1.7246462 , -0.27205068, 0.6488323 ],\n",
" [ -1.6212564 , -0.29098457, 0.29932806],\n",
" [ -1.4803871 , -0.176678 , -0.5965874 ],\n",
" ...,\n",
" [ -2.21784 , 2.4735427 , 1.3182787 ],\n",
" [ -2.3406084 , 2.282835 , 1.8463919 ],\n",
" [ -2.175532 , 0.7863351 , 1.1335845 ]]]], dtype=float32, weak_type=True), interpolation=None, stats={'compiled_num_steps': None, 'max_steps': 4096, 'num_accepted_steps': DeviceArray(19, dtype=int32, weak_type=True), 'num_rejected_steps': DeviceArray(4, dtype=int32, weak_type=True), 'num_steps': DeviceArray(23, dtype=int32, weak_type=True)}, result=DeviceArray(0, dtype=int32, weak_type=True), solver_state=None, controller_state=None, made_jump=None)"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"solution"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "65116b88",
"metadata": {},
"outputs": [],
"source": [
"resx = solution.ys[0,0]"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "c6bd8cfd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f9368964cd0>"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"imshow(cic_paint(jnp.zeros(mesh_shape), resx).sum(axis=0),cmap='gist_stern'); colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "d7ce5401",
"metadata": {},
"outputs": [],
"source": [
"k, pk = power_spectrum(flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]),\n",
" boxsize=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), resx).reshape([1,100,100,100])),\n",
" boxsize=array([100.,100.,100.]), \n",
" kmin=0.1,dk=2*np.pi/100.)"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "28aafee9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f97746730d0>"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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r4kfeivGv53Q8EY+gYhe3VHzyFMmfvkzk9tnE2X3kmnAOxt9Kx1G3Uy+shdPxRNyail3cWmlZOeu+fI/g5GfpXr4ZgHzThNwGsZwOTyAoqivN43rRqHVn8Au4yNFEfIOKXTyCtZYNa5dybPsSAvO30+zkbmIq9lPPlAFwBn8OBrShMKwjrhZdCGvbk5ZxvfBvqHe3iu9xy2LXqhipjPzCIrLSN3EsMxV7aAsNC3cRXZpBc3Ps/79jwslpPpTmQ2+jWaeBoPdmig9wy2L/jkbsUlWl5RXszdrH4fT1lGRvpv6RVHqeWk19c4Zs/zYUdryB9sNvJ6hxK6ejitQaFbt4vQOHDpH25Zs02/M+XSt2UIaL9Ib9COp9EzH9r9NqG/E6KnbxGRUVltTUZI6ufI0ueZ/R3Byl0ISSFXkNkZfdTpP2//X3QMQjqdjFJx0/eYoNiz8gYMvbJJWsoZ4pIyswluKE8cQNvw3/kCZORxS5ZCp28Xl7srJI/+p1Wu/7gHj2UEIgGRHDaTp0Cs07D9MFV/E4blnsWhUjTigrryB59RJOrXmF3ie+ItSc4oB/a44nTCR2xGQCQvWaP/EMblns39GIXZySk5vH1kWv0TLjXRLtLs7gz+7wy2kyZDItuo7QKF7cmopd5AeUlVeQsu5rile/QlLhIsLMSQ76R3IsfhJxo36puXhxSyp2kUo6lH+UzYtep3n6XLrZNE5Rjz2txhA9+m4attZz5MV9qNhFqqi8wrJu9VJKVj7HgOLF1DOl7A7pRdCgXxPV51pw+TkdUXycil2kGtIz95Kx8Bm6HXqflqaAI34tONrlFmJHTcWvgd7nKs5QsYvUgKPHi1m38A2ap71O92+nafa2+TEdfvoIfg0aOR1PfIxbFruWO4qnKiuvYPXKJZSteoahpxZz1NWY4ssepvXgSVpJI3XGLYv9Oxqxi6ey1rJi2ec0WzqNTmSS3rAfLSY+TWiLOKejiQ+4ULHrJZMi1WCMYciwUbS6dzWfRd5Ni8JNBDw/gB3vPYgtO+10PPFRKnaRGtCwQX2umvwnsiYsJSWgN522zyLn0SQOb/7S6Wjig1TsIjWoc6dO9Jv+CV90fwpbeormH1xP2rMTKcre5nQ08SEqdpEa5u/nYsS1N+F/5zoWNp5Iu8OLCHlpABl/v5zsVe9CeZnTEcXL6eKpSC1L272HvV88R9dDHxBp8shzNSWv40Taj/41AWEtnI4nHkyrYkQcdvTEKdZ9/jZNtr1O74pNlOLP7qZX0Hz4XTTpNMjpeOKBVOwibqKiwrIuZS0nVjxH3+OLaGhOkVm/M34D76T1gJ/oUQVSaW5Z7LpBSXxd1sEjbPvsWbpkzSHaHOGwX0sKu91G7MipuIJCnY4nbs4ti/07GrGLryssLmHtZ6/TcvtLJNpdnCCYrHbjaX/N7whqEuV0PHFTKnYRD1BaXsHqpZ/hv/YZ+p1eTbnxY1fzq4i+ZjoNozs7HU/cjIpdxINYa0ndvJGjX/6TAccXEEgZuxoPIXzUNCLiBzodT9yEil3EQ6Vn7iHzk3/QN+8DwkwxGQ26U//y39Oq1xg9cMzHqdhFPNyBw0fYOu9JumXPoYUp4EBAG4q6/Zy44bfrQquPUrGLeImC40Ukz59N6/Q3iWcPRTRgX/Q4Wo/+DaGR8U7HkzqkYhfxMmdKy1mzYhF23Wz6n1pOoClnV2gfGgycSlTvceDn73REqWUqdhEvtiM9nX2fP0f3Ix/Q3Bwlz9WU3Nif0HbUVILC2zgdT2qJil3EBxQcL2b9F+8Qtv0tkspSsQYywgYQOmgyLXuN1V2tXkbFLuJDrLVs2JRK7rIX6VXwCRGmkEP+rSju9WvaDb8NE1Df6YhSA1TsIj7qyLETbFj0JtFpL9GZDApcjclNuJW4q+7CpRdwezQVu4iPKzlTxtdf/Juw9c/Qu2ITRTQgK/ZGOt3wgJZLeigVu4gAUF5hWbXiS1g5i8FnvibXFUHJiEeJ7n+D09GkitzyZdbGmDHGmNmFhYVOxhDxKX4uw+ChIxg04xOWDnyTwor6RC+6jZ1PjOVU3j6n40kNcLTYrbXzrbVTwsLCnIwh4pOMMQwbMZamv1/DghZTaV2wGvt0H3Z9+ChUlDsdT6pB7zwV8XGNQoO5cupf2XXDl2zx70KHTX8h87HBHM9OczqaXCIVu4gA0C2xGz2nf87CDg/T5OReAl8awq55f4eKCqejSRWp2EXkewH+foyeeBcHJy1hs38iHTY8zO7HL+fEoQyno0kVqNhF5L906tCRbtM+Z0G7/6FFURqu5weyP2WB07GkklTsInJe9QL8ufKme9n7ky84SATNP7mRjKVvOh1LKkHFLiI/qEvnrgRNWcROVxxtl9zJzvn/dDqSXISKXUQuKqpVK1reuYCUwCQ6rp/J9rfvAze4uVHOT8UuIpXStHFj4u+ex7IGI0jY9QzbX7iZ8pITTseS81Cxi0ilhQY3oN9v57KoySQ6HZxH/t96cmD9Z07HknOo2EWkSuoF+DPyzmf4evCbnKzwI3L+BLa9cAtlxUedjibfUrGLSJUZYxgyfAzBd61hUaPxdMr5iKOPJ5GzebHT0QQVu4hUQ0STRoy6+wXWXP4epyr8ifjgBnZ9MsvpWD5PxS4i1TZw6Ehcv1jKRv/udEh5kO0v3IItLXE6ls9SsYtIjYhq2ZIu9yxgYZNJJBz8kMzHL+dkwQGnY/kkFbuI1JgGQfUYdeczLEr4G81P7abwmSs4cTjT6Vg+R8UuIjXKGMOon/yCzZe9TnBZISdfGMXxnHSnY/kUFbuI1Ir+w65kx8i3CCwv5vSLoynI2u50JJ9R48VujLnWGPOiMeZjY8zImj6+iHiOPgOvYM/Vc3FVnMG+ehV5e1KdjuQTKlXsxphXjDFHjDFbz9k+2hiz0xiz2xgzHcBa+5G1djJwC/DTGk8sIh6lV5/B7B/3PuUVEPTGlexd85HTkbxeZUfsrwGjz95gjPEDngGuBBKACcaYhLO+cv+3vy8iPq57z74cnfgZOaY50QtuIe3ff9ZDxGpRpYrdWrscKDhncx9gt7V2j7X2DDAXGGe+8VdggbV2Q83GFRFP1bFjAo3u/Ip1QQOI3/JXtj13IxVntNa9NlRnjj0S2H/W5+xvt90JDAduMMZMvdDOxpgpxpgUY0xKbm5uNWKIiKdo1iScnvd8zKKIn9P5yCfsnjWa0pOFTsfyOtUpdnOebdZa+6S1tpe1dqq19vkL7WytnW2tTbLWJkVERFQjhoh4knoBAYz81T/5otPDtCvexP4nRlJSqMFdTapOsWcD0Wd9jgJyqhdHRHyBMYYR4+9iRa9ZRJZkkPvUFRTn7b/4jlIp1Sn2ZCDOGNPWGBMIjAfmVeUAxpgxxpjZhYX6p5iIL7ps7M0kD3yBJqWHOP7scI4f3O10JK9Q2eWO7wCrgY7GmGxjzG3W2jLgDmARkAa8Z63dVpWTW2vnW2unhIWFVTW3iHiJQSOvZ9vwt2hQfoKTL17F8cN7nY7k8Yx1gyVHSUlJNiUlxekYIuKg5JVf0Onzn1Hk14jQX35OSERrpyO5PWPMemtt0rnb9UgBEXELvQeOYPsVrxJafpTC56/kZL6eDHmpHC12zbGLyNn6DrmSLcNepnFZLkefHcmx7DSnI3kkR4tdc+wicq7+l11D6tCXaFBWiN9Ll+sRBJdAUzEi4nYGXD6WQ+MXcNA0o/WCW9g690E9gqAKVOwi4pbi4xNpctdSVtcfQpcds9j06m+cjuQxNMcuIm6raePG9LnnQ5Y3HEO3rNdJ+/wVpyN5BM2xi4hbC/D3o9fU2Wz1SyBm1TRydqx1OpLb01SMiLi94AYNCLvlHY4Tgt+7N3Ly2GGnI7k1FbuIeITo6BgOjHqJRhVHyZo9Hlte5nQkt6ViFxGP0bP/FazsNINOJzeQOmeG03HclopdRDzKsJ/+jq9DRtEt40V2r/7Y6ThuSatiRMSjuFyGLpNnk+mKJnzRHRw7tM/pSG5Hq2JExOM0CmtE2fWvEmhPc+TVCZSXnnY6klvRVIyIeKSOXZLY0P0hOpzexpYXbtOdqWdRsYuIxxp07S9Y2vxmuufNJ3Xun5yO4zZU7CLisYwxDJr8D9Y0GEbXHbNIWzzH6UhuQcUuIh7N39+fhF++yQ7/DsQsv5s9KYucjuQ4rYoREY/XMLQhYT//FwdNc1p9Mon0Ff9yOpKjtCpGRLxCZFQb6k9ZyF5XG2K+/AVpn7/sdCTHaCpGRLxGy5ZRNP3VIrYHJNBx5e/Z9fUHTkdyhIpdRLxK06ZNibnrM/a5ogj76l5On/S9qV4Vu4h4nbCGDTl6xWM0t7lsfXOa03HqnIpdRLxSz0FX8nWjcXTPmcu+LSucjlOnVOwi4rUSfvY4+aYR9uM7qSg943ScOqPljiLitZqER5DR+yFiyjJJff13TsepM1ruKCJerd9VP2NFo2vpmf0mO3zkzlRNxYiIVzPG0HPys+xwxRG1/B7y9qU5HanWqdhFxOsFBwdTb+KblFtD0ZsTKS0pcjpSrVKxi4hPaBsbz/YBj9O6NJO0527EVpQ7HanWqNhFxGf0HzWBZW1+TdfCJaS+dZ/TcWqNil1EfMrQmx9mVcgIeux5nm1fvOZ0nFqhYhcRn+Lyc9Htl6+zzS+emJXTKMjZ43SkGqdiFxGfExwcTPCEl3HZCrLfvtPpODVONyiJiE+Kie1McswUuhZ9zfbFbzsdp0bpBiUR8Vl9JvyRDNOGpivup6TomNNxaoymYkTEZwUFBVE04u80rShg25zpTsepMSp2EfFp3QaMZHWjq+ma8x4Hd6c6HadGqNhFxOfFjn+UU9Sj4IN7wFqn41Sbil1EfF7zltGktp9K55PJpC33/Bdhq9hFRIA+P5lGpomi4bIHKDt9yuk41aJiFxHhmwupeYMeIrLiIFtn3+bRUzIqdhGRb/W+4nqWtriV7vmfsnHun5yOc8lU7CIiZxl0+99Z02AY3XbMIs1DX8yhYhcROYu/vx+df/kmu/xjabX8XoqP5TkdqcpU7CIi5wgNbYi95glCbTFp7z3odJwqU7GLiJxHfI+BrA0bRdcDc8ndv9PpOFWiYhcRuYDW1/+ZclwceH+G01GqRE93FBG5gMg27UlpNYnuhV+xd/Nyp+NUmp7uKCLyAxJ/8gAFNOTUZw94zNp2TcWIiPyARo2bsC12CvElG9m1ep7TcSpFxS4ichFJ1/2eHJrhv/ghbEW503EuSsUuInIR9Rs0IDPxN7Qr2832L99wOs5FqdhFRCqhz9hfsNsVQ7PVD1N09LDTcX6Qil1EpBICAgI4eeWTNKwoZN9LN7n1lIyKXUSkkrr2Hsrq2N/SuXgNm997xOk4F6RiFxGpgsET72Nd0EAS0mZxKGOT03HOS8UuIlIFfn4uom96gTP4c3jeTKfjnJeKXUSkilq2imZ9y/F0K1xMTtpap+P8FxW7iMgliL/+fyi0wRz91P2e/qhiFxG5BBERzdkYfROdi1aTtWmp03H+g4pdROQSdbt+GkdoTNkn92DLy5yO8z0Vu4jIJWrcuDFpXafTrjSdrfP+6XSc76nYRUSqYdC4KWzw70HbTf+gOP+A03EAFbuISLX4+bkIGvc4AfYMGW//zuk4gIpdRKTaEhJ7sarpj+mSt4gjuzc4HUfFLiJSEzpefz/FBHFknvPLH2u82I0x7YwxLxtj3q/pY4uIuKtWraJIaTmRLseXk7N9taNZKlXsxphXjDFHjDFbz9k+2hiz0xiz2xgzHcBau8dae1tthBURcWddbpjBMRtC4ad/dDRHZUfsrwGjz95gjPEDngGuBBKACcaYhBpNJyLiQSKaRrChza3EFyezZ9WHjuWoVLFba5cDBeds7gPs/naEfgaYC4yr4XwiIh6l90+ns4+WBH51P7bstCMZqjPHHgnsP+tzNhBpjAk3xjwP9DDGzLjQzsaYKcaYFGNMSm5ubjViiIi4j9DgYLJ6309UeTZbP3rckQzVKXZznm3WWptvrZ1qrW1vrf3LhXa21s621iZZa5MiIiKqEUNExL0MHD2R9QG9aLv1KYpys+r8/NUp9mwg+qzPUUBO9eKIiHg+l5+L+mP/jr8tJeuNqWBt3Z6/GvsmA3HGmLbGmEBgPDCvKgcwxowxxswuLCysRgwREfeTkNiTFW1+RcKJlez44qU6PXdllzu+A6wGOhpjso0xt1lry4A7gEVAGvCetXZbVU5urZ1vrZ0SFhZW1dwiIm5v8KT72eIXT6tVMykuqLsJjcquiplgrW1prQ2w1kZZa1/+dvtn1toO386nu++bXUVEHBBULxAz9ika2JOk/6vu7kjVIwVERGpRl269WRV2NZ1z/s2xA7vq5JyOFrvm2EXEF0T/6EHKcbH/33VzR6qjxa45dhHxBW3bxrEq4sd0zl9EzsaFtX4+TcWIiNSB+BseJNNE0ujjmzm8dUmtnkvFLiJSB1q2aEHZjR9zmCaEvj+egr1bau1cKnYRkTrSMTaWUxM+pMIaDn70QK2dRxdPRUTqUELHTqxrdgPxR5eQtye1Vs6hi6ciInWsw7jpnKQeh+Y/VCvH11SMiEgdi4qKYl3E9SQULCY/c1ONH1/FLiLigA7XzmCDK4H9h/Nr/Nj+NX5EERG5qKioaJrf/zUBfjU/vtbFUxERh9RGqYMunoqIeB3NsYuIeBkVu4iIl1Gxi4h4GRW7iIiX0aoYEREvo1UxIiJexlhrnc6AMSYX2Od0jloUBrjrP0vqOlttnK+mjnmpx7mU/aq6T2W/3xTIq2IWb+ULf+/aWGsj/murtVa/avkXMNvpDO6SrTbOV1PHvNTjXMp+Vd2nst8HUuryv6c7//Llv3e6eFo35jsd4AfUdbbaOF9NHfNSj3Mp+1V1H3f+f8hdufOfWa1mc4upGBGpGcaYFGttktM5xFkasYt4l9lOBxDnacQuIuJlNGIXEfEyKnYRES+jYhcR8TJ6g5KIlzLGBAPPAmeApdbaOQ5HkjqiEbuIBzHGvGKMOWKM2XrO9tHGmJ3GmN3GmOnfbr4OeN9aOxkYW+dhxTEqdhHP8how+uwNxhg/4BngSiABmGCMSQCigP3ffq28DjOKw1TsIh7EWrscKDhncx9gt7V2j7X2DDAXGAdk8025g/6u+xT9xxbxfJH8/8gcvin0SOAD4HpjzHO49+31UsN08VTE85nzbLPW2mLg53UdRpynEbuI58sGos/6HAXkOJRF3ICKXcTzJQNxxpi2xphAYDwwz+FM4iAVu4gHMca8A6wGOhpjso0xt1lry4A7gEVAGvCetXabkznFWXoImIiIl9GIXUTEy6jYRUS8jIpdRMTLqNhFRLyMil1ExMuo2EVEvIyKXUTEy6jYRUS8jIpdRMTL/B8Sw9fPBZt0bwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"loglog(k,pk[0], label='flowpm')\n",
"loglog(k,pk_jax[0], label='jax')\n",
"legend()"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "dc6a66c0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f978c1fb6a0>]"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"semilogx(k,(pk_jax[0] - pk[0])/pk[0])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f2b58a54",
"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": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}