{ "cells": [ { "cell_type": "markdown", "id": "bbcc17be-d19c-4c1c-8467-c344bf754416", "metadata": {}, "source": [ "# Notebook 5a: SPH-projection on the GPU + orientation class\n", "\n", "Here we compare the CPU and GPU implementations of SPH projection.\n", "\n", "This notebook requires that you have the GPU requirements installed and available on your system\n", "and that you have modified your Paicos user settings to load GPU functionality on startup.\n", "Please see the details here: https://paicos.readthedocs.io/en/latest/installation.html#gpu-cuda-requirements " ] }, { "cell_type": "code", "execution_count": 1, "id": "1ad71f0e-7b68-410e-b986-3bbd299fb3d9", "metadata": {}, "outputs": [], "source": [ "import paicos as pa\n", "import numpy as np\n", "pa.use_units(True)" ] }, { "cell_type": "code", "execution_count": 2, "id": "8b3c6b2e-f899-4538-ba01-8c18efecfc26", "metadata": {}, "outputs": [], "source": [ "# Load snapshot\n", "snap = pa.Snapshot(pa.data_dir, 247)" ] }, { "cell_type": "markdown", "id": "78260d9e-ac2f-4f04-a40e-8d62b2eaab4d", "metadata": {}, "source": [ "### Initialize orientation\n", "\n", "Here we use a Paicos orientation class to initialize the view such that the \n", "width of the image is along the $x$-coordinate of the simulation and the height\n", "of the image is along the $y$-coordinate. The depth of the image is in the $z$-direction.\n", "\n", "The orientation class has methods for rotating the view around $x$, $y$, and $z$\n", "or around the axes of its local coordinate system. When an orientation\n", "instance has been passed to an ImageCreator (such as the projector below),\n", "then calling these methods will result in a rotation around the center of\n", "the image." ] }, { "cell_type": "code", "execution_count": 3, "id": "e6624b9a-8599-490f-8a77-850e6cbe67a5", "metadata": {}, "outputs": [], "source": [ "# Do some arbitrary orientation\n", "orientation = pa.Orientation(normal_vector=[0, 0, 1], perp_vector1=[1, 0, 0])\n", "orientation.rotate_around_normal_vector(degrees=20) # Image depth direction\n", "orientation.rotate_around_perp_vector1(degrees=35) # Image width direction\n", "orientation.rotate_around_perp_vector2(degrees=-47) # Image height direction" ] }, { "cell_type": "markdown", "id": "6df9b9c1-1867-47b5-b61f-00013ab82503", "metadata": {}, "source": [ "### Initialize projectors" ] }, { "cell_type": "code", "execution_count": 4, "id": "89b24aa5-7ccc-4553-b438-8c84b912076a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attempting to get derived variable: 0_Volume...\t[DONE]\n", "\n", "Attempting to get derived variable: 0_Volume...\t[DONE]\n", "\n" ] } ], "source": [ "# Pixels along horizontal direction\n", "npix = 256\n", "\n", "# Center of projection\n", "center = snap.Cat.Group['GroupPos'][0]\\\n", "\n", "R200c = snap.Cat.Group['Group_R_Crit200'][0]\n", "\n", "# Widths of projection (width, height and depth)\n", "widths = np.array([10000, 10000, 10000]) * R200c.uq\n", "\n", "projector = pa.NestedProjector(snap, center, widths, orientation,\n", " npix=npix, factor=2, npix_min=npix // 16,\n", " store_subimages=True)\n", "\n", "gpu_projector = pa.GpuSphProjector(snap, center, widths, orientation,\n", " npix=npix, threadsperblock=8,\n", " do_pre_selection=False)" ] }, { "cell_type": "markdown", "id": "0969f5e3-5bad-4124-9366-06e2cbff1d33", "metadata": {}, "source": [ "### Project density and display it" ] }, { "cell_type": "code", "execution_count": 5, "id": "6fc20250-87ea-488e-b831-77f3009b0381", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "\n", "dens = projector.project_variable(\n", " '0_Masses') / projector.project_variable('0_Volume')\n", "gpu_dens = gpu_projector.project_variable(\n", " '0_Masses') / gpu_projector.project_variable('0_Volume')\n", "\n", "\n", "plt.figure(1)\n", "plt.clf()\n", "fig, axes = plt.subplots(num=1, ncols=2, sharex=True, sharey=True)\n", "axes[0].imshow(\n", " dens.value, extent=projector.centered_extent.value, norm=LogNorm())\n", "axes[1].imshow(\n", " gpu_dens.value, extent=projector.centered_extent.value, norm=LogNorm())\n", "\n", "axes[0].set_title('NestedProjector')\n", "axes[1].set_title('GpuSphProjector')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "3b585373-728a-4831-859b-85ac5b075303", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }