{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Measures branching in C++ from python\n", "\n", "This notebook looks into a couple of ways to write code, which one is efficient, which one is not when it comes to write fast and short loops. Both experiments are around [branching](https://en.wikipedia.org/wiki/Branch_predictor). The notebook relies on C++ code implemented in [cbenchmark.cpp](https://github.com/sdpython/cpyquickhelper/blob/master/cpyquickhelper/numbers/cbenchmark.cpp) and\n", "[repeat_fct.h](https://github.com/sdpython/cpyquickhelper/blob/master/cpyquickhelper/numbers/repeat_fct.h)."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["[numpy](http://www.numpy.org/) is multithreaded. For an accurate comparison, this needs to be disabled. This can be done as follows or by setting environment variable ``MKL_NUM_THREADS=1``."]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": ["try:\n", " import mkl\n", " mkl.set_num_threads(1)\n", "except ModuleNotFoundError as e:\n", " print('mkl not found', e)\n", " import os\n", " os.environ['MKL_NUM_THREADS']='1'"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## First experiment: comparison C++ syntax\n", "\n", "This all started with article [Why is it faster to process a sorted array than an unsorted array?](https://stackoverflow.com/questions/11227809/why-is-it-faster-to-process-a-sorted-array-than-an-unsorted-array/11227902#11227902). It compares different implementation fo the following function for which we try different implementations for the third line in next cell. The last option is taken\n", "[Checking whether a number is positive or negative using bitwise operators](https://stackoverflow.com/questions/3779202/checking-whether-a-number-is-positive-or-negative-using-bitwise-operators) which avoids [branching](https://en.wikipedia.org/wiki/Branch_predictor)."]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": ["# int nb = 0;\n", "# for(auto it = values.begin(); it != values.end(); ++it)\n", "# if (*it >= th) nb++; // this line changes\n", "# if (*it >= th) nb++; // and is repeated 10 times inside the loop.\n", "# // ... 10 times\n", "# return nb;"]}, {"cell_type": "markdown", "metadata": {}, "source": ["The third line is also repeated 10 times to avoid the loop being too significant. "]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import measure_scenario_A, measure_scenario_B\n", "from cpyquickhelper.numbers.cbenchmark_dot import measure_scenario_C, measure_scenario_D\n", "from cpyquickhelper.numbers.cbenchmark_dot import measure_scenario_E, measure_scenario_F\n", "from cpyquickhelper.numbers.cbenchmark_dot import measure_scenario_G, measure_scenario_H\n", "from cpyquickhelper.numbers.cbenchmark_dot import measure_scenario_I, measure_scenario_J"]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"text/html": ["
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averagedeviationdoclabelmax_execmin_execnamenumberrepeat
06.518500e-082.870060e-07if (values[i] >= th) ++nb;sorted1.581000e-060.000001measure_scenario_A20.010.0
15.926000e-082.583084e-07if (*it >= th) ++nb;sorted1.186000e-060.000001measure_scenario_B20.010.0
26.123500e-082.682277e-07if (*it >= th) nb++;sorted1.580000e-060.000001measure_scenario_C20.010.0
31.185000e-086.738195e-08nb += *it >= th ? 1 : 0;sorted3.950000e-070.000000measure_scenario_D20.010.0
46.123500e-082.682277e-07if (*it >= th) nb += 1;sorted1.580000e-060.000001measure_scenario_E20.010.0
57.900000e-095.530000e-08nb += (*it - th) >= 0 ? 1 : 0;sorted3.950000e-070.000000measure_scenario_F20.010.0
61.580500e-087.742840e-08nb += (*it - th) < 0 ? 1 : 0;sorted3.960000e-070.000000measure_scenario_G20.010.0
71.383000e-087.261929e-08nb += *it < th ? 1 : 0;sorted3.960000e-070.000000measure_scenario_H20.010.0
81.777500e-088.188513e-08nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)...sorted3.950000e-070.000000measure_scenario_I20.010.0
91.383000e-087.261929e-08nb += values[i] >= th ? 1 : 0;sorted3.960000e-070.000000measure_scenario_J20.010.0
\n", "
"], "text/plain": [" average deviation \\\n", "0 6.518500e-08 2.870060e-07 \n", "1 5.926000e-08 2.583084e-07 \n", "2 6.123500e-08 2.682277e-07 \n", "3 1.185000e-08 6.738195e-08 \n", "4 6.123500e-08 2.682277e-07 \n", "5 7.900000e-09 5.530000e-08 \n", "6 1.580500e-08 7.742840e-08 \n", "7 1.383000e-08 7.261929e-08 \n", "8 1.777500e-08 8.188513e-08 \n", "9 1.383000e-08 7.261929e-08 \n", "\n", " doc label max_exec \\\n", "0 if (values[i] >= th) ++nb; sorted 1.581000e-06 \n", "1 if (*it >= th) ++nb; sorted 1.186000e-06 \n", "2 if (*it >= th) nb++; sorted 1.580000e-06 \n", "3 nb += *it >= th ? 1 : 0; sorted 3.950000e-07 \n", "4 if (*it >= th) nb += 1; sorted 1.580000e-06 \n", "5 nb += (*it - th) >= 0 ? 1 : 0; sorted 3.950000e-07 \n", "6 nb += (*it - th) < 0 ? 1 : 0; sorted 3.960000e-07 \n", "7 nb += *it < th ? 1 : 0; sorted 3.960000e-07 \n", "8 nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)... sorted 3.950000e-07 \n", "9 nb += values[i] >= th ? 1 : 0; sorted 3.960000e-07 \n", "\n", " min_exec name number repeat \n", "0 0.000001 measure_scenario_A 20.0 10.0 \n", "1 0.000001 measure_scenario_B 20.0 10.0 \n", "2 0.000001 measure_scenario_C 20.0 10.0 \n", "3 0.000000 measure_scenario_D 20.0 10.0 \n", "4 0.000001 measure_scenario_E 20.0 10.0 \n", "5 0.000000 measure_scenario_F 20.0 10.0 \n", "6 0.000000 measure_scenario_G 20.0 10.0 \n", "7 0.000000 measure_scenario_H 20.0 10.0 \n", "8 0.000000 measure_scenario_I 20.0 10.0 \n", "9 0.000000 measure_scenario_J 20.0 10.0 "]}, "execution_count": 7, "metadata": {}, "output_type": "execute_result"}], "source": ["import pandas\n", "\n", "def test_benchmark(label, values, th, repeat=10, number=20):\n", " funcs = [(k, v) for k, v in globals().copy().items() if k.startswith(\"measure_scenario\")]\n", " rows = []\n", " for k, v in funcs:\n", " exe = v(values, th, repeat, number)\n", " d = exe.todict()\n", " d['doc'] = v.__doc__.split('``')[1]\n", " d['label'] = label\n", " d['name'] = k\n", " rows.append(d) \n", " df = pandas.DataFrame(rows)\n", " return df\n", "\n", "test_benchmark(\"sorted\", list(range(10)), 5)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Times are not very conclusive on such small lists."]}, {"cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [{"data": {"text/html": ["
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averagedeviationdoclabelmax_execmin_execnamenumberrepeat
00.0011160.004947if (values[i] >= th) ++nb;sorted0.0471840.014096measure_scenario_A20.0200.0
10.0011360.005057if (*it >= th) ++nb;sorted0.0382520.014688measure_scenario_B20.0200.0
20.0011330.005100if (*it >= th) nb++;sorted0.0448020.013577measure_scenario_C20.0200.0
30.0001180.000528nb += *it >= th ? 1 : 0;sorted0.0049730.001436measure_scenario_D20.0200.0
40.0008310.003742if (*it >= th) nb += 1;sorted0.0480950.013466measure_scenario_E20.0200.0
50.0001180.000564nb += (*it - th) >= 0 ? 1 : 0;sorted0.0136770.001338measure_scenario_F20.0200.0
60.0001700.000786nb += (*it - th) < 0 ? 1 : 0;sorted0.0071750.001582measure_scenario_G20.0200.0
70.0000900.000414nb += *it < th ? 1 : 0;sorted0.0045740.001296measure_scenario_H20.0200.0
80.0001190.000518nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)...sorted0.0028340.002243measure_scenario_I20.0200.0
90.0000810.000360nb += values[i] >= th ? 1 : 0;sorted0.0043240.001459measure_scenario_J20.0200.0
\n", "
"], "text/plain": [" average deviation doc \\\n", "0 0.001116 0.004947 if (values[i] >= th) ++nb; \n", "1 0.001136 0.005057 if (*it >= th) ++nb; \n", "2 0.001133 0.005100 if (*it >= th) nb++; \n", "3 0.000118 0.000528 nb += *it >= th ? 1 : 0; \n", "4 0.000831 0.003742 if (*it >= th) nb += 1; \n", "5 0.000118 0.000564 nb += (*it - th) >= 0 ? 1 : 0; \n", "6 0.000170 0.000786 nb += (*it - th) < 0 ? 1 : 0; \n", "7 0.000090 0.000414 nb += *it < th ? 1 : 0; \n", "8 0.000119 0.000518 nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)... \n", "9 0.000081 0.000360 nb += values[i] >= th ? 1 : 0; \n", "\n", " label max_exec min_exec name number repeat \n", "0 sorted 0.047184 0.014096 measure_scenario_A 20.0 200.0 \n", "1 sorted 0.038252 0.014688 measure_scenario_B 20.0 200.0 \n", "2 sorted 0.044802 0.013577 measure_scenario_C 20.0 200.0 \n", "3 sorted 0.004973 0.001436 measure_scenario_D 20.0 200.0 \n", "4 sorted 0.048095 0.013466 measure_scenario_E 20.0 200.0 \n", "5 sorted 0.013677 0.001338 measure_scenario_F 20.0 200.0 \n", "6 sorted 0.007175 0.001582 measure_scenario_G 20.0 200.0 \n", "7 sorted 0.004574 0.001296 measure_scenario_H 20.0 200.0 \n", "8 sorted 0.002834 0.002243 measure_scenario_I 20.0 200.0 \n", "9 sorted 0.004324 0.001459 measure_scenario_J 20.0 200.0 "]}, "execution_count": 8, "metadata": {}, "output_type": "execute_result"}], "source": ["values = list(range(100000))\n", "df_sorted = test_benchmark(\"sorted\", values, len(values)//2, repeat=200)\n", "df_sorted"]}, {"cell_type": "markdown", "metadata": {}, "source": ["The article some implementations will be slower if the values are not sorted."]}, {"cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [{"data": {"text/plain": ["[73680, 56372, 84502, 10263, 93712, 12350, 98785, 54243, 7299, 30309]"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["import random\n", "random.shuffle(values)\n", "values = values.copy()\n", "values[:10]"]}, {"cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [{"data": {"text/html": ["
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averagedeviationdoclabelmax_execmin_execnamenumberrepeat
00.0007040.003076if (values[i] >= th) ++nb;shuffled0.0196430.013091measure_scenario_A20.0200.0
10.0006970.003042if (*it >= th) ++nb;shuffled0.0166560.013203measure_scenario_B20.0200.0
20.0007610.003440if (*it >= th) nb++;shuffled0.0270620.013112measure_scenario_C20.0200.0
30.0001280.000563nb += *it >= th ? 1 : 0;shuffled0.0040750.001579measure_scenario_D20.0200.0
40.0012810.005590if (*it >= th) nb += 1;shuffled0.0289290.018232measure_scenario_E20.0200.0
50.0001260.000554nb += (*it - th) >= 0 ? 1 : 0;shuffled0.0031890.001542measure_scenario_F20.0200.0
60.0001440.000634nb += (*it - th) < 0 ? 1 : 0;shuffled0.0054030.001844measure_scenario_G20.0200.0
70.0001280.000560nb += *it < th ? 1 : 0;shuffled0.0039760.001567measure_scenario_H20.0200.0
80.0002230.000974nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)...shuffled0.0072310.002795measure_scenario_I20.0200.0
90.0001400.000687nb += values[i] >= th ? 1 : 0;shuffled0.0163930.001547measure_scenario_J20.0200.0
\n", "
"], "text/plain": [" average deviation doc \\\n", "0 0.000704 0.003076 if (values[i] >= th) ++nb; \n", "1 0.000697 0.003042 if (*it >= th) ++nb; \n", "2 0.000761 0.003440 if (*it >= th) nb++; \n", "3 0.000128 0.000563 nb += *it >= th ? 1 : 0; \n", "4 0.001281 0.005590 if (*it >= th) nb += 1; \n", "5 0.000126 0.000554 nb += (*it - th) >= 0 ? 1 : 0; \n", "6 0.000144 0.000634 nb += (*it - th) < 0 ? 1 : 0; \n", "7 0.000128 0.000560 nb += *it < th ? 1 : 0; \n", "8 0.000223 0.000974 nb += 1 ^ ((unsigned int)(*it) >> (sizeof(int)... \n", "9 0.000140 0.000687 nb += values[i] >= th ? 1 : 0; \n", "\n", " label max_exec min_exec name number repeat \n", "0 shuffled 0.019643 0.013091 measure_scenario_A 20.0 200.0 \n", "1 shuffled 0.016656 0.013203 measure_scenario_B 20.0 200.0 \n", "2 shuffled 0.027062 0.013112 measure_scenario_C 20.0 200.0 \n", "3 shuffled 0.004075 0.001579 measure_scenario_D 20.0 200.0 \n", "4 shuffled 0.028929 0.018232 measure_scenario_E 20.0 200.0 \n", "5 shuffled 0.003189 0.001542 measure_scenario_F 20.0 200.0 \n", "6 shuffled 0.005403 0.001844 measure_scenario_G 20.0 200.0 \n", "7 shuffled 0.003976 0.001567 measure_scenario_H 20.0 200.0 \n", "8 shuffled 0.007231 0.002795 measure_scenario_I 20.0 200.0 \n", "9 shuffled 0.016393 0.001547 measure_scenario_J 20.0 200.0 "]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["df_shuffled = test_benchmark(\"shuffled\", values, len(values)//2, repeat=200)\n", "df_shuffled"]}, {"cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": ["df = pandas.concat([df_sorted, df_shuffled])\n", "dfg = df[[\"doc\", \"label\", \"average\"]].pivot(\"doc\", \"label\", \"average\")"]}, {"cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["ax = dfg.plot.bar(rot=30)\n", "labels = [l.get_text() for l in ax.get_xticklabels()]\n", "ax.set_xticklabels(labels, ha='right')\n", "ax.set_title(\"Comparison of all implementations\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["It seems that inline tests (``cond ? value1 : value2``) do not stop the branching and it should be used whenever possible."]}, {"cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["sdf = df[[\"doc\", \"label\", \"average\"]]\n", "dfg2 = sdf[sdf.doc.str.contains('[?^]')].pivot(\"doc\", \"label\", \"average\")\n", "ax = dfg2.plot.bar(rot=30)\n", "labels = [l.get_text() for l in ax.get_xticklabels()]\n", "ax.set_xticklabels(labels, ha='right')\n", "ax.set_title(\"Comparison of implementations using ? :\");"]}, {"cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["sdf = df[[\"doc\", \"label\", \"average\"]]\n", "dfg2 = sdf[sdf.doc.str.contains('if')].pivot(\"doc\", \"label\", \"average\")\n", "ax = dfg2.plot.bar(rot=30)\n", "labels = [l.get_text() for l in ax.get_xticklabels()]\n", "ax.set_xticklabels(labels, ha='right')\n", "ax.set_ylim([0.0004, 0.0020])\n", "ax.set_title(\"Comparison of implementations using tests\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["*sorted*, *not sorted* does not seem to have a real impact in this case. It shows *branching* really slows down the execution of a program. Branching happens whenever the program meets a loop condition or a test. Iterator ``*it`` are faster than accessing an array with notation ``[i]`` which adds a cost due to an extra addition."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Second experiment: dot product\n", "\n", "The goal is to compare the dot product from [numpy.dot](https://docs.scipy.org/doc/numpy-1.15.0/reference/generated/numpy.dot.html) and a couple of implementation in C++ which look like this:"]}, {"cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": ["# float vector_dot_product_pointer(const float *p1, const float *p2, size_t size)\n", "# {\n", "# float sum = 0;\n", "# const float * end1 = p1 + size;\n", "# for(; p1 != end1; ++p1, ++p2)\n", "# sum += *p1 * *p2;\n", "# return sum;\n", "# }\n", "# \n", "# \n", "# float vector_dot_product(py::array_t v1, py::array_t v2)\n", "# {\n", "# if (v1.ndim() != v2.ndim())\n", "# throw std::runtime_error(\"Vector v1 and v2 must have the same dimension.\");\n", "# if (v1.ndim() != 1)\n", "# throw std::runtime_error(\"Vector v1 and v2 must be vectors.\");\n", "# return vector_dot_product_pointer(v1.data(0), v2.data(0), v1.shape(0));\n", "# }"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### numpy vs C++"]}, {"cell_type": "markdown", "metadata": {}, "source": ["#### numpy.dot"]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [{"data": {"text/plain": ["3333333.2"]}, "execution_count": 17, "metadata": {}, "output_type": "execute_result"}], "source": ["import numpy\n", "\n", "def simple_dot(values):\n", " return numpy.dot(values, values)\n", "\n", "values = list(range(10000000))\n", "values = numpy.array(values, dtype=numpy.float32)\n", "vect = values / numpy.max(values)\n", "simple_dot(vect)"]}, {"cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [{"data": {"text/plain": ["dtype('float32')"]}, "execution_count": 18, "metadata": {}, "output_type": "execute_result"}], "source": ["vect.dtype"]}, {"cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.17493714570000024,\n", " 'deviation': 0.01055679328637683,\n", " 'min_exec': 0.16323108099999928,\n", " 'max_exec': 0.1946009330000038,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}], "source": ["from timeit import Timer\n", "\n", "def measure_time(stmt, context, repeat=10, number=50):\n", " tim = Timer(stmt, globals=context)\n", " res = numpy.array(tim.repeat(repeat=repeat, number=number))\n", " mean = numpy.mean(res)\n", " dev = numpy.mean(res ** 2)\n", " dev = (dev - mean**2) ** 0.5\n", " return dict(average=mean, deviation=dev, min_exec=numpy.min(res),\n", " max_exec=numpy.max(res), repeat=repeat, number=number,\n", " size=context['values'].shape[0])\n", "\n", "measure_time(\"simple_dot(values)\", context=dict(simple_dot=simple_dot, values=vect))"]}, {"cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.001811 0.000932 0.009380 0.001230 50 100 187510\n", "76 0.001646 0.000415 0.003583 0.001249 50 100 190010\n", "77 0.001981 0.000676 0.004695 0.001267 50 100 192510\n", "78 0.002436 0.000855 0.004890 0.001313 50 100 195010\n", "79 0.001886 0.000353 0.002882 0.001327 50 100 197510"]}, "execution_count": 20, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"simple_dot(values)\", repeat=100,\n", " context=dict(simple_dot=simple_dot, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "import pandas\n", "dot = pandas.DataFrame(res)\n", "dot.tail()"]}, {"cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [{"data": {"text/html": ["
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\n", "
"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "0 0.000914 0.000144 0.001219 0.000820 50 10 100000\n", "1 0.015862 0.004123 0.027136 0.012628 50 10 1100000\n", "2 0.035084 0.003601 0.042250 0.030178 50 10 2100000\n", "3 0.048146 0.001690 0.050411 0.045873 50 10 3100000\n", "4 0.070299 0.005897 0.086010 0.066763 50 10 4100000"]}, "execution_count": 21, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(100000, 10000000, 1000000):\n", " t = measure_time(\"simple_dot(values)\", repeat=10,\n", " context=dict(simple_dot=simple_dot, values=vect[:i].copy()))\n", " res.append(t)\n", " \n", "huge_dot = pandas.DataFrame(res)\n", "huge_dot.head()"]}, {"cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0])\n", "huge_dot.plot(x='size', y=\"average\", ax=ax[1], logy=True)\n", "ax[0].set_title(\"numpy dot product execution time\");\n", "ax[1].set_title(\"numpy dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["#### numpy.einsum"]}, {"cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [{"data": {"text/plain": ["3333333.8"]}, "execution_count": 23, "metadata": {}, "output_type": "execute_result"}], "source": ["def simple_dot_einsum(values):\n", " return numpy.einsum('i,i->', values, values)\n", "\n", "values = list(range(10000000))\n", "values = numpy.array(values, dtype=numpy.float32)\n", "vect = values / numpy.max(values)\n", "simple_dot_einsum(vect)"]}, {"cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.2862720898999996,\n", " 'deviation': 0.019172035812954895,\n", " 'min_exec': 0.26404798899999093,\n", " 'max_exec': 0.3281182589999929,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 24, "metadata": {}, "output_type": "execute_result"}], "source": ["measure_time(\"simple_dot_einsum(values)\",\n", " context=dict(simple_dot_einsum=simple_dot_einsum, values=vect))"]}, {"cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.004400 0.001858 0.009241 0.003290 50 100 187510\n", "76 0.003400 0.000065 0.003683 0.003320 50 100 190010\n", "77 0.003717 0.000703 0.007098 0.003467 50 100 192510\n", "78 0.003628 0.000256 0.004555 0.003404 50 100 195010\n", "79 0.003660 0.000224 0.004962 0.003448 50 100 197510"]}, "execution_count": 25, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"simple_dot_einsum(values)\", repeat=100,\n", " context=dict(simple_dot_einsum=simple_dot_einsum, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "import pandas\n", "einsum_dot = pandas.DataFrame(res)\n", "einsum_dot.tail()"]}, {"cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 1, figsize=(7,4))\n", "dot.plot(x='size', y=\"average\", ax=ax, label=\"numpy.dot\", logy=True)\n", "einsum_dot.plot(x='size', y=\"average\", ax=ax, logy=True,label=\"numpy.einsum\")\n", "ax.set_title(\"numpy einsum / dot dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["The function [einsum](https://docs.scipy.org/doc/numpy/reference/generated/numpy.einsum.html) is slower (see [Einsum - Einstein summation in deep learning](https://rockt.github.io/2018/04/30/einsum) appears to be slower but it is usually faster when it comes to chain operations as it reduces the number of intermediate allocations to do."]}, {"cell_type": "markdown", "metadata": {}, "source": ["#### pybind11"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Now the custom implementation. We start with an empty function to get a sense of the cost due to to pybind11."]}, {"cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [{"data": {"text/plain": ["0.0"]}, "execution_count": 27, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import empty_vector_dot_product\n", "empty_vector_dot_product(vect, vect)"]}, {"cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.0001423012999993034,\n", " 'deviation': 4.8738723576776925e-05,\n", " 'min_exec': 0.00010429600000350092,\n", " 'max_exec': 0.00025876499999810676,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 28, "metadata": {}, "output_type": "execute_result"}], "source": ["def empty_c11_dot(vect):\n", " return empty_vector_dot_product(vect, vect)\n", "\n", "measure_time(\"empty_c11_dot(values)\", \n", " context=dict(empty_c11_dot=empty_c11_dot, values=vect), repeat=10)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Very small. It should not pollute our experiments."]}, {"cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [{"data": {"text/plain": ["3334629.0"]}, "execution_count": 29, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product\n", "vector_dot_product(vect, vect)"]}, {"cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.8533396122000013,\n", " 'deviation': 0.24492425073976992,\n", " 'min_exec': 0.6820375839999997,\n", " 'max_exec': 1.2789236320000015,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 30, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot(vect):\n", " return vector_dot_product(vect, vect)\n", "\n", "measure_time(\"c11_dot(values)\", \n", " context=dict(c11_dot=c11_dot, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 30, "metadata": {"scrolled": false}, "outputs": [{"data": {"text/html": ["
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\n", "
"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.023365 0.001148 0.025472 0.021720 50 10 187510\n", "76 0.024021 0.000643 0.025093 0.022678 50 10 190010\n", "77 0.023822 0.001232 0.025876 0.021724 50 10 192510\n", "78 0.023852 0.000867 0.025552 0.022637 50 10 195010\n", "79 0.024870 0.000563 0.025481 0.023793 50 10 197510"]}, "execution_count": 31, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot(values)\", repeat=10,\n", " context=dict(c11_dot=c11_dot, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "import pandas\n", "cus_dot = pandas.DataFrame(res)\n", "cus_dot.tail()"]}, {"cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Pretty slow. Let's see what it does to compute dot product 16 by 16."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### BLAS\n", "\n", "Internally, [numpy](http://www.numpy.org/) is using [BLAS](http://www.netlib.org/blas/). A direct call to it should give the same results."]}, {"cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.18376368689999795,\n", " 'deviation': 0.013271289356658413,\n", " 'min_exec': 0.16785606499999517,\n", " 'max_exec': 0.20954452600000195,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 33, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.direct_blas_lapack import cblas_sdot\n", "\n", "def blas_dot(vect):\n", " return cblas_sdot(vect, vect)\n", "\n", "measure_time(\"blas_dot(values)\", context=dict(blas_dot=blas_dot, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [{"data": {"text/html": ["
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\n", "
"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.002430 0.000223 0.002573 0.001950 50 10 187510\n", "76 0.002326 0.000258 0.002600 0.001931 50 10 190010\n", "77 0.002530 0.000197 0.002635 0.001977 50 10 192510\n", "78 0.002071 0.000440 0.002698 0.001519 50 10 195010\n", "79 0.002458 0.000400 0.003242 0.001869 50 10 197510"]}, "execution_count": 34, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"blas_dot(values)\", repeat=10,\n", " context=dict(blas_dot=blas_dot, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "import pandas\n", "blas_dot = pandas.DataFrame(res)\n", "blas_dot.tail()"]}, {"cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11\")\n", "blas_dot.plot(x='size', y=\"average\", ax=ax[0], label=\"blas\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "blas_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"blas\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Use of branching: 16 multplications in one row\n", "\n", "The code looks like what follows. If there is more than 16 multiplications left, we use function *vector_dot_product_pointer16*, otherwise, there are done one by one like the previous function."]}, {"cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": ["# float vector_dot_product_pointer16(const float *p1, const float *p2)\n", "# {\n", "# float sum = 0;\n", "# \n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# \n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# sum += *(p1++) * *(p2++);\n", "# \n", "# return sum;\n", "# }\n", "# \n", "# #define BYN 16\n", "# \n", "# float vector_dot_product_pointer16(const float *p1, const float *p2, size_t size)\n", "# {\n", "# float sum = 0;\n", "# size_t i = 0;\n", "# if (size >= BYN) {\n", "# size_t size_ = size - BYN;\n", "# for(; i < size_; i += BYN, p1 += BYN, p2 += BYN)\n", "# sum += vector_dot_product_pointer16(p1, p2);\n", "# }\n", "# for(; i < size; ++p1, ++p2, ++i)\n", "# sum += *p1 * *p2;\n", "# return sum;\n", "# }\n", "# \n", "# float vector_dot_product16(py::array_t v1, py::array_t v2)\n", "# {\n", "# if (v1.ndim() != v2.ndim())\n", "# throw std::runtime_error(\"Vector v1 and v2 must have the same dimension.\");\n", "# if (v1.ndim() != 1)\n", "# throw std::runtime_error(\"Vector v1 and v2 must be vectors.\");\n", "# return vector_dot_product_pointer16(v1.data(0), v2.data(0), v1.shape(0));\n", "# }"]}, {"cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [{"data": {"text/plain": ["3333331.75"]}, "execution_count": 37, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product16\n", "vector_dot_product16(vect, vect)"]}, {"cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.5628858367999967,\n", " 'deviation': 0.006558496803961198,\n", " 'min_exec': 0.5514294899999896,\n", " 'max_exec': 0.5766948529999922,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 38, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot16(vect):\n", " return vector_dot_product16(vect, vect)\n", "\n", "measure_time(\"c11_dot16(values)\", \n", " context=dict(c11_dot16=c11_dot16, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [{"data": {"text/html": ["
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\n", "
"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.010757 0.000345 0.011495 0.010465 50 10 187510\n", "76 0.010169 0.000474 0.011362 0.009392 50 10 190010\n", "77 0.010440 0.000449 0.011532 0.010153 50 10 192510\n", "78 0.011015 0.000679 0.011867 0.009231 50 10 195010\n", "79 0.011091 0.000540 0.012168 0.010415 50 10 197510"]}, "execution_count": 39, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot16(values)\", repeat=10,\n", " context=dict(c11_dot16=c11_dot16, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot16 = pandas.DataFrame(res)\n", "cus_dot16.tail()"]}, {"cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["We are far from *numpy* but the branching has clearly a huge impact and the fact the loop condition is evaluated only every 16 iterations does not explain this gain. Next experiment with [SSE](https://fr.wikipedia.org/wiki/Streaming_SIMD_Extensions) instructions."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Optimized to remove function call\n", "\n", "We remove the function call to get the following version."]}, {"cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": ["# float vector_dot_product_pointer16_nofcall(const float *p1, const float *p2, size_t size)\n", "# {\n", "# float sum = 0; \n", "# const float * end = p1 + size;\n", "# if (size >= BYN) {\n", "# #if(BYN != 16)\n", "# #error \"BYN must be equal to 16\";\n", "# #endif\n", "# unsigned int size_ = (unsigned int) size;\n", "# size_ = size_ >> 4; // division by 16=2^4\n", "# size_ = size_ << 4; // multiplication by 16=2^4\n", "# const float * end_ = p1 + size_;\n", "# for(; p1 != end_;)\n", "# {\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# \n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# \n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# \n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# sum += *p1 * *p2; ++p1, ++p2;\n", "# }\n", "# }\n", "# for(; p1 != end; ++p1, ++p2)\n", "# sum += *p1 * *p2;\n", "# return sum;\n", "# }\n", "# \n", "# float vector_dot_product16_nofcall(py::array_t v1, py::array_t v2)\n", "# {\n", "# if (v1.ndim() != v2.ndim())\n", "# throw std::runtime_error(\"Vector v1 and v2 must have the same dimension.\");\n", "# if (v1.ndim() != 1)\n", "# throw std::runtime_error(\"Vector v1 and v2 must be vectors.\");\n", "# return vector_dot_product_pointer16_nofcall(v1.data(0), v2.data(0), v1.shape(0));\n", "# }"]}, {"cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [{"data": {"text/plain": ["3334629.0"]}, "execution_count": 42, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product16_nofcall\n", "vector_dot_product16_nofcall(vect, vect)"]}, {"cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 1.2945859600000034,\n", " 'deviation': 0.029453146426095998,\n", " 'min_exec': 1.270528181000003,\n", " 'max_exec': 1.3768783189999851,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 43, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot16_nofcall(vect):\n", " return vector_dot_product16_nofcall(vect, vect)\n", "\n", "measure_time(\"c11_dot16_nofcall(values)\",\n", " context=dict(c11_dot16_nofcall=c11_dot16_nofcall, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.023715 0.001017 0.025011 0.021424 50 10 187510\n", "76 0.024223 0.000463 0.024711 0.023164 50 10 190010\n", "77 0.024831 0.000362 0.025402 0.024273 50 10 192510\n", "78 0.025039 0.000294 0.025515 0.024486 50 10 195010\n", "79 0.026592 0.001819 0.031072 0.024430 50 10 197510"]}, "execution_count": 44, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot16_nofcall(values)\", repeat=10,\n", " context=dict(c11_dot16_nofcall=c11_dot16_nofcall, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot16_nofcall = pandas.DataFrame(res)\n", "cus_dot16_nofcall.tail()"]}, {"cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16\")\n", "cus_dot16_nofcall.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16_nofcall\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16\")\n", "cus_dot16_nofcall.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16_nofcall\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Weird, branching did not happen when the code is not inside a separate function."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### SSE instructions\n", "\n", "We replace one function in the previous implementation."]}, {"cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": ["# #include \n", "# \n", "# float vector_dot_product_pointer16_sse(const float *p1, const float *p2)\n", "# {\n", "# __m128 c1 = _mm_load_ps(p1);\n", "# __m128 c2 = _mm_load_ps(p2);\n", "# __m128 r1 = _mm_mul_ps(c1, c2);\n", "# \n", "# p1 += 4;\n", "# p2 += 4;\n", "# \n", "# c1 = _mm_load_ps(p1);\n", "# c2 = _mm_load_ps(p2);\n", "# r1 = _mm_add_ps(r1, _mm_mul_ps(c1, c2));\n", "# \n", "# p1 += 4;\n", "# p2 += 4;\n", "# \n", "# c1 = _mm_load_ps(p1);\n", "# c2 = _mm_load_ps(p2);\n", "# r1 = _mm_add_ps(r1, _mm_mul_ps(c1, c2));\n", "# \n", "# p1 += 4;\n", "# p2 += 4;\n", "# \n", "# c1 = _mm_load_ps(p1);\n", "# c2 = _mm_load_ps(p2);\n", "# r1 = _mm_add_ps(r1, _mm_mul_ps(c1, c2));\n", "# \n", "# float r[4];\n", "# _mm_store_ps(r, r1);\n", "# \n", "# return r[0] + r[1] + r[2] + r[3];\n", "# }"]}, {"cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [{"data": {"text/plain": ["3333332.0"]}, "execution_count": 47, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product16_sse\n", "vector_dot_product16_sse(vect, vect)"]}, {"cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.22386672670000393,\n", " 'deviation': 0.004340312827217225,\n", " 'min_exec': 0.21708269199999108,\n", " 'max_exec': 0.23220287799998118,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 48, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot16_sse(vect):\n", " return vector_dot_product16_sse(vect, vect)\n", "\n", "measure_time(\"c11_dot16_sse(values)\", \n", " context=dict(c11_dot16_sse=c11_dot16_sse, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.003629 0.000200 0.003825 0.003051 50 10 187510\n", "76 0.003571 0.000230 0.003793 0.003063 50 10 190010\n", "77 0.003642 0.000267 0.003821 0.003110 50 10 192510\n", "78 0.003583 0.000285 0.003846 0.003146 50 10 195010\n", "79 0.004467 0.000770 0.005784 0.003754 50 10 197510"]}, "execution_count": 49, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot16_sse(values)\", repeat=10,\n", " context=dict(c11_dot16_sse=c11_dot16_sse, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot16_sse = pandas.DataFrame(res)\n", "cus_dot16_sse.tail()"]}, {"cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16_sse\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16_sse\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Better even though it is still slower than *numpy*. It is closer. Maybe the compilation option are not optimized, *numpy* was also compiled with the Intel compiler. To be accurate, multi-threading must be disabled on *numpy* side. That's the purpose of the first two lines."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### AVX 512\n", "\n", "Last experiment with [AVX 512](https://fr.wikipedia.org/wiki/Advanced_Vector_Extensions) instructions but it does not work on all processor. I could not test it on my laptop as these instructions do not seem to be available. More can be found on wikipedia [CPUs with AVX-512](https://en.wikipedia.org/wiki/AVX-512#CPUs_with_AVX-512)."]}, {"cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [{"data": {"text/plain": ["'Intel64 Family 6 Model 78 Stepping 3, GenuineIntel'"]}, "execution_count": 51, "metadata": {}, "output_type": "execute_result"}], "source": ["import platform\n", "platform.processor()"]}, {"cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": ["import numpy\n", "values = numpy.array(list(range(10000000)), dtype=numpy.float32)\n", "vect = values / numpy.max(values)"]}, {"cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [{"data": {"text/plain": ["3333332.0"]}, "execution_count": 53, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product16_avx512\n", "vector_dot_product16_avx512(vect, vect)"]}, {"cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.24621207209999624,\n", " 'deviation': 0.030678971301695272,\n", " 'min_exec': 0.21640002699999172,\n", " 'max_exec': 0.3037627230000055,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 54, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot16_avx512(vect):\n", " return vector_dot_product16_avx512(vect, vect)\n", "\n", "measure_time(\"c11_dot16_avx512(values)\",\n", " context=dict(c11_dot16_avx512=c11_dot16_avx512, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [{"data": {"text/html": ["
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averagedeviationmax_execmin_execnumberrepeatsize
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\n", "
"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.003631 0.001094 0.005245 0.001953 50 10 187510\n", "76 0.004108 0.001309 0.006254 0.002541 50 10 190010\n", "77 0.003714 0.000933 0.005624 0.002511 50 10 192510\n", "78 0.005389 0.001072 0.007044 0.003420 50 10 195010\n", "79 0.005102 0.001096 0.008251 0.004557 50 10 197510"]}, "execution_count": 55, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot16_avx512(values)\", repeat=10,\n", " context=dict(c11_dot16_avx512=c11_dot16_avx512, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot16_avx512 = pandas.DataFrame(res)\n", "cus_dot16_avx512.tail()"]}, {"cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16\")\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16_sse\")\n", "cus_dot16_avx512.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16_avx512\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16\")\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16_sse\")\n", "cus_dot16_avx512.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16_avx512\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["If the time is the same, it means that options AVX512 are not available."]}, {"cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [{"data": {"text/plain": ["'Available options: __SSE__ __SSE2__ __SSE3__ __SSE4_1__'"]}, "execution_count": 57, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark import get_simd_available_option\n", "get_simd_available_option()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Last call with OpenMP\n"]}, {"cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [{"data": {"text/plain": ["3348343.25"]}, "execution_count": 58, "metadata": {}, "output_type": "execute_result"}], "source": ["from cpyquickhelper.numbers.cbenchmark_dot import vector_dot_product_openmp\n", "vector_dot_product_openmp(vect, vect, 2)"]}, {"cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [{"data": {"text/plain": ["3343080.75"]}, "execution_count": 59, "metadata": {}, "output_type": "execute_result"}], "source": ["vector_dot_product_openmp(vect, vect, 4)"]}, {"cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.6101010486999939,\n", " 'deviation': 0.023996900833560427,\n", " 'min_exec': 0.5678723409999975,\n", " 'max_exec': 0.6511117819999299,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 60, "metadata": {}, "output_type": "execute_result"}], "source": ["def c11_dot_openmp2(vect):\n", " return vector_dot_product_openmp(vect, vect, nthreads=2)\n", "\n", "def c11_dot_openmp4(vect):\n", " return vector_dot_product_openmp(vect, vect, nthreads=4)\n", "\n", "measure_time(\"c11_dot_openmp2(values)\",\n", " context=dict(c11_dot_openmp2=c11_dot_openmp2, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [{"data": {"text/plain": ["{'average': 0.329937042999984,\n", " 'deviation': 0.016537939361682446,\n", " 'min_exec': 0.30559936400004517,\n", " 'max_exec': 0.35731013800000255,\n", " 'repeat': 10,\n", " 'number': 50,\n", " 'size': 10000000}"]}, "execution_count": 61, "metadata": {}, "output_type": "execute_result"}], "source": ["measure_time(\"c11_dot_openmp4(values)\",\n", " context=dict(c11_dot_openmp4=c11_dot_openmp4, values=vect), repeat=10)"]}, {"cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.011458 0.000959 0.012970 0.010097 50 10 187510\n", "76 0.011582 0.000723 0.012886 0.010232 50 10 190010\n", "77 0.012416 0.000774 0.013324 0.011078 50 10 192510\n", "78 0.013305 0.000465 0.013685 0.012125 50 10 195010\n", "79 0.009506 0.001906 0.012279 0.007230 50 10 197510"]}, "execution_count": 62, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot_openmp2(values)\", repeat=10,\n", " context=dict(c11_dot_openmp2=c11_dot_openmp2, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot_openmp2 = pandas.DataFrame(res)\n", "cus_dot_openmp2.tail()"]}, {"cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [{"data": {"text/html": ["
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"], "text/plain": [" average deviation max_exec min_exec number repeat size\n", "75 0.006757 0.000376 0.007589 0.006341 50 10 187510\n", "76 0.007416 0.001347 0.011127 0.006291 50 10 190010\n", "77 0.006946 0.000783 0.008544 0.005562 50 10 192510\n", "78 0.006466 0.000636 0.007366 0.005439 50 10 195010\n", "79 0.006986 0.000389 0.007906 0.006533 50 10 197510"]}, "execution_count": 63, "metadata": {}, "output_type": "execute_result"}], "source": ["res = []\n", "for i in range(10, 200000, 2500):\n", " t = measure_time(\"c11_dot_openmp4(values)\", repeat=10,\n", " context=dict(c11_dot_openmp4=c11_dot_openmp4, values=vect[:i].copy()))\n", " res.append(t)\n", "\n", "cus_dot_openmp4 = pandas.DataFrame(res)\n", "cus_dot_openmp4.tail()"]}, {"cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots(1, 2, figsize=(14,4))\n", "dot.plot(x='size', y=\"average\", ax=ax[0], label=\"numpy\")\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16\")\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[0], label=\"pybind11x16_sse\")\n", "cus_dot_openmp2.plot(x='size', y=\"average\", ax=ax[0], label=\"cus_dot_openmp2\")\n", "cus_dot_openmp4.plot(x='size', y=\"average\", ax=ax[0], label=\"cus_dot_openmp4\")\n", "dot.plot(x='size', y=\"average\", ax=ax[1], label=\"numpy\", logy=True)\n", "cus_dot16.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16\")\n", "cus_dot16_sse.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11x16_sse\")\n", "cus_dot_openmp2.plot(x='size', y=\"average\", ax=ax[1], label=\"cus_dot_openmp2\")\n", "cus_dot_openmp4.plot(x='size', y=\"average\", ax=ax[1], label=\"cus_dot_openmp4\")\n", "cus_dot.plot(x='size', y=\"average\", ax=ax[1], label=\"pybind11\")\n", "ax[0].set_title(\"numpy and custom dot product execution time\");\n", "ax[1].set_title(\"numpy and custom dot product execution time\");"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Parallelization does not solve everything, efficient is important."]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Back to numpy\n", "\n", "This article [Why is matrix multiplication faster with numpy than with ctypes in Python?](https://stackoverflow.com/questions/10442365/why-is-matrix-multiplication-faster-with-numpy-than-with-ctypes-in-python) gives some kints on why *numpy* is still faster. By looking at the code of the dot product in *numpy*: [arraytypes.c.src](https://github.com/numpy/numpy/blob/master/numpy/core/src/multiarray/arraytypes.c.src), it seems that *numpy* does a simple dot product without using branching or uses the library [BLAS](http://www.netlib.org/blas/) which is the case in this benchmark (code for dot product: [sdot.c](http://www.netlib.org/clapack/cblas/sdot.c)). And it does use *branching*. See also function [blas_stride](https://github.com/numpy/numpy/blob/master/numpy/core/src/multiarray/common.h#L298). These libraries then play with [compilation options](https://gcc.gnu.org/onlinedocs/gcc/Optimize-Options.html) and optimize for speed. This benchmark does not look into [cython-blis](https://github.com/explosion/cython-blis) which implements some [BLAS](http://www.netlib.org/blas/) functions with an assembly language and has different implementations depending on the platform it is used. A little bit more on C++ optimization [How to optimize C and C++ code in 2018](https://medium.com/@aka.rider/how-to-optimize-c-and-c-code-in-2018-bd4f90a72c2b)."]}, {"cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": []}], "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": "3.7.2"}}, "nbformat": 4, "nbformat_minor": 2}