diff --git a/explore_scaling.ipynb b/explore_scaling.ipynb new file mode 100644 index 0000000..054242e --- /dev/null +++ b/explore_scaling.ipynb @@ -0,0 +1,188 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "e6fe2abe", + "metadata": {}, + "outputs": [], + "source": [ + "import cProfile\n", + "import pstats\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import tqdm\n", + "from matplotlib.colors import LogNorm\n", + "\n", + "from xarray_profile import SingleInterpolation, TripleInterpolation, Data\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c173c88a", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Chunk Coverages: 100%|██████████| 10/10 [01:03<00:00, 6.38s/it]\n" + ] + } + ], + "source": [ + "\n", + "chunk_coverages = np.linspace(0.05, 0.95, 10)\n", + "n_particles = [10**k for k in range(0, 8)]\n", + "functions = [SingleInterpolation, TripleInterpolation]\n", + "total_time = np.zeros((len(chunk_coverages), len(n_particles), len(functions)))\n", + "\n", + "for i, c in enumerate(tqdm.tqdm(chunk_coverages, desc=\"Chunk Coverages\")):\n", + " for j, n in enumerate(n_particles):\n", + " data = Data( # ~24Gb uncompressed\n", + " {\"store\": \"datasets/ds_2d_left_agrid_small.zarr\", \"consolidated\": False},\n", + " n_particles=n,\n", + " chunk_coverage=c,\n", + " use_zarr_array=True,\n", + " )\n", + " data.within_ctx = None\n", + "\n", + " for k, func in enumerate(functions):\n", + " with data.setup() as (ds, positions):\n", + " prof = cProfile.Profile()\n", + " prof.enable()\n", + " func().run(ds, positions)\n", + " prof.disable()\n", + " stats = pstats.Stats(prof)\n", + " total_time[i, j, k] = stats.total_tt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "b8a92960", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 1, figsize=(6, 5))\n", + "\n", + "function_names = [f.name for f in functions]\n", + "k = 1 # Index for TripleInterpolation\n", + "ax.pcolormesh(\n", + " range(len(n_particles)),\n", + " range(len(chunk_coverages)),\n", + " total_time[:, :, k],\n", + " shading=\"auto\",\n", + " cmap=\"viridis\",\n", + " norm=LogNorm(vmin=total_time.min(), vmax=total_time.max()),\n", + ")\n", + "\n", + "ax.set_xticks(range(len(n_particles)))\n", + "ax.set_xticklabels([f\"{n:_}\" for n in n_particles], rotation=45)\n", + "ax.set_yticks(range(len(chunk_coverages)))\n", + "ax.set_yticklabels([f\"{c:.2f}\" for c in chunk_coverages])\n", + "fig.colorbar(ax.collections[0], ax=ax, label='Total Execution Time (s)')\n", + "ax.set_xlabel('Number of Particles')\n", + "ax.set_ylabel('Chunk Coverage')\n", + "ax.set_title(f'Execution time for {function_names[k]} as a function of Particles and Chunk-coverage')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "240091ff", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 1, figsize=(6, 5))\n", + "\n", + "function_names = [f.__name__ for f in functions]\n", + "\n", + "i = 4\n", + "runtime_lines = ax[0].plot(n_particles, total_time[i, :, :], marker='o')\n", + "for line, name in zip(runtime_lines, function_names):\n", + " line.set_label(name)\n", + "\n", + "ax[0].set_xscale('log')\n", + "ax[0].set_yscale('log')\n", + "ax[0].set_xlabel('Number of Particles')\n", + "ax[0].set_ylabel('Total Execution Time (s)')\n", + "ax[0].set_title(f\"Chunk Coverage={chunk_coverages[i]:.2f}\")\n", + "\n", + "ax0_speedup = ax[0].twinx()\n", + "speedup = total_time[i, :, 1] / total_time[i, :, 0]\n", + "speedup_line = ax0_speedup.plot(\n", + " n_particles, speedup, marker='s', linestyle='--', color='black', label='Speedup (k=1 / k=0)'\n", + ")[0]\n", + "ax0_speedup.set_ylabel('Speedup (k=1 / k=0)')\n", + "\n", + "left_handles, left_labels = ax[0].get_legend_handles_labels()\n", + "right_handles, right_labels = ax0_speedup.get_legend_handles_labels()\n", + "ax[0].legend(left_handles + right_handles, left_labels + right_labels)\n", + "\n", + "j = 5\n", + "ax[1].plot(chunk_coverages, total_time[:, j, :], marker='o')\n", + "ax[1].set_xlabel('Chunk Coverage')\n", + "ax[1].set_ylabel('Total Execution Time (s)')\n", + "ax[1].set_title(f\"Number of Particles={n_particles[j]:_}\")\n", + "\n", + "ax1_speedup = ax[1].twinx()\n", + "speedup = total_time[:, j, 1] / total_time[:, j, 0]\n", + "speedup_line = ax1_speedup.plot(\n", + " chunk_coverages, speedup, marker='s', linestyle='--', color='black', label='Speedup (k=1 / k=0)'\n", + ")[0]\n", + "ax1_speedup.set_ylabel('Speedup (k=1 / k=0)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.14.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/pixi.lock b/pixi.lock index c1f0962..796cfc3 100644 --- a/pixi.lock +++ b/pixi.lock @@ -1,5933 +1,7939 @@ version: 7 platforms: - 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with self._within_ctx: + ctx = self._within_ctx if self._within_ctx is not None else nullcontext() + with ctx: if self.use_zarr_array: yield self.zarr_arr, self.positions else: