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@richardjgowers
Created June 24, 2018 20:21
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Unique v2
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:41:50.193495Z",
"start_time": "2018-06-23T07:41:49.540392Z"
}
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:41:50.544922Z",
"start_time": "2018-06-23T07:41:50.199425Z"
}
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from MDAnalysis.lib.util import unique_int_1d, unique_int_1d_alt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:41:50.555813Z",
"start_time": "2018-06-23T07:41:50.546540Z"
}
},
"outputs": [],
"source": [
"def generate_random(length):\n",
" return np.random.randint(0, length, size=(length, ), dtype=int)\n",
"\n",
"def generate_random_2(length):\n",
" return np.random.randint(0, length//4, size=(length, ), dtype=int)\n",
"\n",
"def generate_sorted(length):\n",
" array = generate_random(length)\n",
" array.sort()\n",
" return array\n",
"\n",
"\n",
"def generate_sorted_2(length):\n",
" array = generate_random_2(length)\n",
" array.sort()\n",
" return array\n",
"\n",
"\n",
"def generate_single(length):\n",
" return np.ones((length, ), dtype=int)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:41:50.566614Z",
"start_time": "2018-06-23T07:41:50.557521Z"
}
},
"outputs": [],
"source": [
"NPOINTS = np.logspace(2, 7, num = 10, dtype = np.int)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:47:48.917397Z",
"start_time": "2018-06-23T07:41:50.568526Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100 .....\n",
"359 .....\n",
"1291 .....\n",
"4641 .....\n",
"16681 .....\n",
"59948 .....\n",
"215443 .....\n",
"774263 .....\n",
"2782559 .....\n",
"10000000 .....\n"
]
}
],
"source": [
"methods = {\n",
" 'random': generate_random,\n",
" 'random2': generate_random_2,\n",
" 'sorted': generate_sorted,\n",
" 'sorted2': generate_sorted_2,\n",
" 'single': generate_single,\n",
"}\n",
"\n",
"performances = {\n",
" method: {key: list() for key in methods}\n",
" for method in ('me', 'np', 'alt')\n",
"}\n",
"\n",
"for points in NPOINTS:\n",
" print(points, end=' ')\n",
" for key, function in methods.items():\n",
" values = function(points)\n",
" time_me = %timeit -o -q unique_int_1d(values)\n",
" time_np = %timeit -o -q np.unique(values)\n",
" time_alt = %timeit -o -q unique_int_1d_alt(values)\n",
" performances['me'][key].append(time_me)\n",
" performances['np'][key].append(time_np)\n",
" performances['alt'][key].append(time_alt)\n",
" print('.', end='')\n",
" print()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2018-06-23T07:47:50.108306Z",
"start_time": "2018-06-23T07:47:48.919763Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for order in methods:\n",
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n",
" avg = {model: np.array([x.average for x in values[order]])\n",
" for model, values in performances.items()}\n",
" std = {model: np.array([x.stdev for x in values[order]])\n",
" for model, values in performances.items()}\n",
" for model in avg:\n",
" ax1.errorbar(NPOINTS, avg[model] * 1000, yerr=std[model] * 1000, marker='o', label=model)\n",
" ax1.set_xlabel('Number of values')\n",
" ax1.set_ylabel('Time (ms)')\n",
" ax1.legend()\n",
" fig.suptitle(order)\n",
" \n",
" ax2.plot(NPOINTS, avg['np'] / avg['me'], '-o')\n",
" ax2.set_xlabel('Number of values')\n",
" ax2.set_ylabel('Speedup')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<function MDAnalysis.lib._cutil.unique_int_1d_alt>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unique_int_1d_alt"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"vals = np.array([4, 3, 3, 2, 2, 1, 1, 2, 3, 7])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 2, 3, 4, 7])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unique_int_1d(vals)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 2, 3, 4, 7])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"unique_int_1d_alt(vals)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"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": "3.6.5"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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