diff --git a/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb b/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb index 2e97429..0f94642 100644 --- a/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb +++ b/benchmarks/.ipynb_checkpoints/cython_least_squares-checkpoint.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:b8a2adab4cfa8ac1064656d4b3e3121a2acc1060e034c98ce29986312939c9ac" + "signature": "sha256:90a74ceed4e3dca395013883669de508e2ef94573e58cf24ce3ba49686ca5fe0" }, "nbformat": 3, "nbformat_minor": 0, @@ -132,7 +132,7 @@ "source": [ "In more mathematical terms, our goal is to compute the best fit to *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n", "$f(x) = a\\cdot x + b$. \n", - "Here, we assume that the y-component is functionally dependent on the x-component. \n", + "We further have to assume that the y-component is functionally dependent on the x-component. \n", "In a cartesian coordinate system, $b$ is the intercept of the straight line with the y-axis, and $a$ is the slope of this line." ] }, @@ -280,7 +280,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 36 + "prompt_number": 1 }, { "cell_type": "markdown", @@ -301,7 +301,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Next, we will calculate the parameters separately, using only standard library functions in Python, which I will call the \"classic approach\"." + "Next, we will calculate the parameters separately, using standard library functions in Python only, which I will call the \"classic approach\"." ] }, { @@ -331,7 +331,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -352,7 +352,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For our convenience, `numpy` has a function that can also compute the leat squares solution of a linear matrix equation. For more information, please refer to the [documentation](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.lstsq.html)." + "For our convenience, `numpy` has a function that can computes the least squares solution of a linear matrix equation. For more information, please refer to the [documentation](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.lstsq.html)." ] }, { @@ -367,7 +367,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 38 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -388,7 +388,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The last approach is using `scipy.stats.linregress()`, which returns a tuple of 5 different attributes, where the 1st value in the tuple is the slope, and the second value is the y-axis intercept, respectively. The documentation for this function can be found [here](http://docs.scipy.org/doc/scipy-0.13.0/reference/generated/scipy.stats.linregress.html)." + "Also scipy has a least squares function, `scipy.stats.linregress()`, which returns a tuple of 5 different attributes, where the 1st value in the tuple is the slope, and the second value is the y-axis intercept, respectively. \n", + "The documentation for this function can be found [here](http://docs.scipy.org/doc/scipy-0.13.0/reference/generated/scipy.stats.linregress.html)." ] }, { @@ -404,7 +405,22 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 4 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Teaser" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "The following plot below should give you an impression of how the performance of the 4 different approaches will compare to each other at the end of this article." + ] }, { "cell_type": "markdown", @@ -433,12 +449,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In order to test our different least squares fit implementation, we will generate some sample data: \n", + "In order to test our different least squares fit implementations, we will generate some sample data: \n", "- 500 sample points for the x-component within the range [0,500) \n", "- 500 sample points for the y-component within the range [100,600) \n", "\n", "where each sample point is multiplied by a random value within\n", - "the range [0.8, 12)." + "the range [0.8, 12) to simulate some scatter in our dataset." ] }, { @@ -454,7 +470,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 40 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -476,15 +492,25 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "To check how our dataset is distributed, and how the straight line, which we obtain via the least square fit method, we will plot it in a scatter plot. \n", - "Note that we are using our \"matrix approach\" here for simplicity, but after plotting the data, we will check whether all of the four different implementations yield the same parameters." + "To check how our dataset is distributed, and how the least squares regression line looks like, we will plot the results in a scatter plot. \n", + "Note that we are only using our \"matrix approach\" to visualize the results - for simplicity. We expect all 4 approaches to produce similar results, which we will confirm after visualizing the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ - "%pylab inline\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "from matplotlib import pyplot as plt\n", "\n", "slope, intercept = lin_lstsqr_mat(x, y)\n", @@ -514,11 +540,11 @@ "output_type": "display_data", "png": 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l74wWGRlJmTJlsixjzJgxjBkzBtBd0q74tMeqhYUFzs7OALi4uNCnTx+OHDmi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\nESNex9Sp5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44dQ7NmbWAy1QQwG8BiAFuh0ZyFQuEJtdoXg9LCMAOjAABfaDzRdswYVN63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\nYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 42 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -540,7 +566,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As mentioned above, let us confirm that the different implementation computed the same parameters (i.e., slope and y-axis intercept) as solution for the linear equation." + "As mentioned above, let us now confirm that the different implementations computed the same parameters (i.e., slope and y-axis intercept) as solution of the linear equation." ] }, { @@ -580,7 +606,7 @@ ] } ], - "prompt_number": 43 + "prompt_number": 9 }, { "cell_type": "markdown", @@ -602,7 +628,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For a first impression how the performances of the different least squares implementations compare against each other, let us do a quick benchmark using the `timeit` module via IPython's `%timeit` magic." + "To get an initial impression of how the performances of the different least squares implementations compare against each other, let us do a quick benchmark using the `timeit` module via IPython's `%timeit` magic." ] }, { @@ -626,7 +652,7 @@ "stream": "stdout", "text": [ "\n", - "matrix approach: 10000 loops, best of 3: 163 \u00b5s per loop" + "matrix approach: 10000 loops, best of 3: 158 \u00b5s per loop" ] }, { @@ -635,7 +661,7 @@ "text": [ "\n", "\n", - "classic approach: 1000 loops, best of 3: 1.55 ms per loop" + "classic approach: 1000 loops, best of 3: 1.6 ms per loop" ] }, { @@ -644,7 +670,7 @@ "text": [ "\n", "\n", - "numpy function: 1000 loops, best of 3: 221 \u00b5s per loop" + "numpy function: 1000 loops, best of 3: 217 \u00b5s per loop" ] }, { @@ -653,7 +679,7 @@ "text": [ "\n", "\n", - "scipy function: 1000 loops, best of 3: 362 \u00b5s per loop" + "scipy function: 1000 loops, best of 3: 366 \u00b5s per loop" ] }, { @@ -664,14 +690,14 @@ ] } ], - "prompt_number": 44 + "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", - "The timing above indicates, that the \"classic\" approach (Python's standard library functions only) is significantly worse in performance than the other implemenations - roughly by a magnitude of 10." + "The timing above indicates that the \"classic\" approach (Python's standard library functions only) is significantly worse in performance than the other implemenations - roughly by a magnitude of 10. However, we should keep in mind that this experiment was done for a fixed sample size n=500." ] }, { @@ -702,12 +728,12 @@ "metadata": {}, "source": [ "Maybe we can speed things up a little bit via [Cython's C-extensions for Python](http://cython.org). Cython is basically a hybrid between C and Python and can be pictured as compiled Python code with type declarations. \n", - "Since we are working in an IPython notebook here, we can make use of the IPython magic: It will automatically convert it to C code, compile it, and load the function. \n", - "Just to be thorough, let us also compile the other functions, which already use numpy objects.\n", + "Since we are working in an IPython notebook here, we can make use of the very convenient *IPython magic*: It will take care of the conversion to C code, the compilation, and eventually the loading of the function. \n", + "Let us also compile the functions for the other 3 least squares approaches - those already use numpy objects and therefore we don't expect any performance gain here, but it is good to be thorough.\n", "\n", "**Note** \n", - "Of course Cython has much more horsepower under its hood - more than I am showing in this article (for example, I am not using Cython's type definitions via `cdef` here). Here, I want to focus on how to speed up existing Python code by making only minimal changes to it. \n", - "[In a later section - Appendix II](#type_declarations) We will see how static type declarations can further improve the performance via Cython." + "Of course Cython has much more horsepower under its hood - more than I am showing in this section of this article (for example, I am not using Cython's type definitions via `cdef` here, but we will get to it [in a later section - Appendix II](#type_declarations)). \n", + "The focus of this section should be on how to speed up existing Python code by making only minimal changes to it. " ] }, { @@ -718,17 +744,8 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The cythonmagic extension is already loaded. To reload it, use:\n", - " %reload_ext cythonmagic\n" - ] - } - ], - "prompt_number": 45 + "outputs": [], + "prompt_number": 11 }, { "cell_type": "code", @@ -766,7 +783,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 46 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -809,7 +826,7 @@ "\n", "\n", "matrix approach: \n", - "10000 loops, best of 3: 165 \u00b5s per loop" + "10000 loops, best of 3: 159 \u00b5s per loop" ] }, { @@ -817,7 +834,7 @@ "stream": "stdout", "text": [ "\n", - "10000 loops, best of 3: 166 \u00b5s per loop" + "10000 loops, best of 3: 159 \u00b5s per loop" ] }, { @@ -828,7 +845,7 @@ "\n", "\n", "classic approach: \n", - "1000 loops, best of 3: 1.59 ms per loop" + "1000 loops, best of 3: 1.62 ms per loop" ] }, { @@ -836,7 +853,7 @@ "stream": "stdout", "text": [ "\n", - "10000 loops, best of 3: 127 \u00b5s per loop" + "10000 loops, best of 3: 126 \u00b5s per loop" ] }, { @@ -847,7 +864,7 @@ "\n", "\n", "numpy function: \n", - "1000 loops, best of 3: 220 \u00b5s per loop" + "1000 loops, best of 3: 218 \u00b5s per loop" ] }, { @@ -855,7 +872,7 @@ "stream": "stdout", "text": [ "\n", - "1000 loops, best of 3: 221 \u00b5s per loop" + "1000 loops, best of 3: 220 \u00b5s per loop" ] }, { @@ -866,7 +883,7 @@ "\n", "\n", "scipy function: \n", - "1000 loops, best of 3: 361 \u00b5s per loop" + "1000 loops, best of 3: 372 \u00b5s per loop" ] }, { @@ -874,7 +891,7 @@ "stream": "stdout", "text": [ "\n", - "1000 loops, best of 3: 367 \u00b5s per loop" + "1000 loops, best of 3: 354 \u00b5s per loop" ] }, { @@ -885,7 +902,7 @@ ] } ], - "prompt_number": 47 + "prompt_number": 13 }, { "cell_type": "markdown", @@ -893,8 +910,8 @@ "source": [ "
\n", "
\n", - "As we've seen before, our \"classic\" implementation of the least square method is pretty slow compared to using numpy's functions. This is not surprising, since numpy is highly optmized and uses compiled C/C++ and Fortran code already. This explains why there is no significant difference if we used Cython to compile the numpy-objects-containing functions. \n", - "However, we were able to speed up the \"classic approach\" quite significantly, roughly by 1500%.\n", + "As we've seen before, our \"classic\" implementation of the least square method is pretty slow compared to the other approaches which use Numpy objects. This is not surprising, since Numpy is highly optimized and uses compiled C/C++ and Fortran code already. This explains why there is no significant difference if we used Cython to compile the numpy-objects-containing functions. \n", + "However, we were able to speed up the \"classic approach\" quite significantly via Cython, roughly by 1500%.\n", "\n", "The following 2 code blocks are just to visualize our results in a bar plot." ] @@ -919,14 +936,13 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 50 + "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "import matplotlib.pyplot as plt\n", "\n", "x_pos = np.arange(len(funcs))\n", "plt.bar(x_pos, times, align='center', alpha=0.5)\n", @@ -950,21 +966,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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1w1dffaXWoBhjjNW8SgvCqVOnsHjxYshkMsjlcgDFP7pw4cIFtQenL7gPQXeJ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\ny4NAIIBIJEJFRQUWL16MAwcOwNLSUm2n8LU0ZQG01NRUbNq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lDDdr1gzffPONSoNijDFW8yosCKdOncLixYshk8lQUFAAoOihCxcuXFB5cLqC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\nHqKjo5GbmwuBQACRSITy8nIsXLgQ+/fvh4WFhdpO4WtuygJ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tWzAxMUFKSsoL5xswYAC2bt2q89jUqVPRpk0bJCUlITw8HFOnTi2TNsuFr9CU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\n+/fvZ+LEiWzevJnr16+zatUqMjIyGDt2LC1btuThw4cEBAT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HD9ChQwfUrl0bHTt2xKNHj8qz6YwxxgyAbAXPwsICAGBpaYmbN2/CxMQEaWkv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\n6gQJeEIIIeqE/weOwIO8Og7UhQAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 51 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -993,7 +1009,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the plot above, we've seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of the sample size on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." + "In the previous section, we have seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of different sample sizes on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." ] }, { @@ -1020,26 +1036,31 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 22 + "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "import matplotlib.pyplot as plt\n", "\n", - "plt.figure(figsize=(10,8))\n", + "labels = [('cy_classic_lstsqr', 'Cython implementation'), \n", + " ('lin_lstsqr_mat', 'numpy matrix equation'),\n", + " ('numpy_lstsqr', 'numpy.linalg.lstsq()'), \n", + " ('scipy_lstsqr', 'scipy.stats.linregress()')] \n", "\n", - "for f in times_n.keys():\n", - " plt.plot(orders_n, times_n[f], alpha=0.5, label=f, marker='o', lw=2)\n", + "matplotlib.rcParams.update({'font.size': 12})\n", "\n", + "fig = plt.figure(figsize=(10,8))\n", + "for lb in labels:\n", + " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n", "plt.xlabel('sample size n')\n", - "plt.ylabel('time in ms')\n", - "plt.xlim([0,max(orders_n) + max(orders_n) * 0.1])\n", + "plt.ylabel('performance gain relative to the slowest approach')\n", + "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n", "plt.legend(loc=2)\n", "plt.grid()\n", - "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", "plt.title('Performance of least square fit implementations for different sample sizes')\n", "plt.show()" ], @@ -1049,20 +1070,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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0srKysHbtWrXP7O3bt9XOcdWP8YbOLVX3WWXsNRUXF4erV6+iY8eOCA4OxqFDhwAAcrkc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\nhAEDEUYjxRYLpVYrS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GO0dkZCQiIyOxaNEiuadZG7QzV1HR2Ho6BuPtwtocg8FgVM57uWaOwWAwysLW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\nFgv33ntv01FkoaGhjBkzhpSUFKA5G9Zjz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"text": [ - "" + "" ] } ], - "prompt_number": 34 + "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", - "In this performance comparison for different sample sizes, we see that our Cython approach is actually not so fast anymore. However, this is just the simplest approach to using Cython. There are a lot of tweaks that can be made. In a [later section](#showdown) we will come back to this comparison and see how the Cython version of our simple least squares implementation holds up against the other approaches\n", + "In this performance comparison using different sample sizes, we can see that our Cython approach is actually not so fast anymore. However, this is just the simplest approach to using Cython. \n", + "There are a lot of improvements that can be made. In a [later section](#showdown) we will come back to this comparison and see how the Cython version of our simple least squares implementation holds up against the other approaches, after we tweaked it a little bit.\n", "
" ] }, @@ -1408,15 +1430,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Like we did with Cython before, we will use the minimalist approach to Numba and see how they compare against each other. \n", + "Like we did with Cython before, we will use the minimalist approach to Numba and see how the two - Cython and Numba - compare against each other. \n", "\n", - "Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up code. If you want to read more about Numba, see the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)." + "Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up the code. If you want to read more about Numba, please see refer to the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "
\n", "Here is our \"classic\" approach in Python, where I removed the list comprehensions, since they caused errors in the Numba compilation." ] }, @@ -1556,8 +1579,17 @@ "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10,8))\n", "\n", @@ -1591,7 +1623,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Without making any modifications to the original code in order to account for the strengths of Numba (Numpy) and Cython (static type declarations), we see that Cython performs significantly better than Numba." + "Without making any modifications to the original Python code - thereby we are not accounting for the particular strengths of Numba (Numpy) and Cython (static type declarations), we see that Cython performs significantly better than Numba." ] }, { @@ -1622,7 +1654,7 @@ "metadata": {}, "source": [ "In the sections above, we have been using the simplest approach to Cython without using static type declarations and thereby neglecting one of its major strengths. \n", - "Let us now see how we can further improve the Cython implementation of our \"classic least squares approach\" by adding those type declarations." + "Now, let us see how and if we can further improve the Cython implementation of our \"classic least squares approach\" by adding those type declarations." ] }, { @@ -1649,7 +1681,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 44 + "prompt_number": 21 }, { "cell_type": "markdown", @@ -1666,7 +1698,8 @@ ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [], + "prompt_number": 23 }, { "cell_type": "code", @@ -1686,7 +1719,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 45 + "prompt_number": 24 }, { "cell_type": "markdown", @@ -1714,7 +1747,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 55 + "prompt_number": 25 }, { "cell_type": "markdown", @@ -1748,14 +1781,23 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 58 + "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10,8))\n", "\n", @@ -1777,13 +1819,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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C31vRvv7+/ujQoQNmzZqF4uJiHD58GNu3b9fv98wzz6CwsBA7d+5EcXExPvnkExQVFelv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jP/j836tVq1bgMSEEFAoFPvroIxw8eBBfffUVnJ2dYWpqitmzZyMtLU1j2S83QysUCqhU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"text": [ - "" + "" ] } ], - "prompt_number": 59 + "prompt_number": 27 }, { "cell_type": "markdown", @@ -1791,7 +1833,8 @@ "source": [ "
\n", "
\n", - "The improvement is pretty significant when static type declarations are used. One more experiment to see by how much we could improve our \"classic least squares\" code via Cython compared to the initial Python implementation.\n", + "The improvement is pretty significant when static type declarations are used. \n", + "One more experiment to see by how much we could improve our \"classic least squares\" code via Cython compared to the initial Python implementation:\n", "
\n", "
" ] @@ -1809,7 +1852,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 60 + "prompt_number": 30 }, { "cell_type": "code", @@ -1832,20 +1875,30 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 61 + "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "x_pos = np.arange(len(funcs[1:]))\n", "plt.bar(x_pos, times_rel, align='center', alpha=0.5, color=\"green\")\n", "plt.xticks(x_pos, labels[1:], rotation=90)\n", - "plt.ylabel('relative performance gain')\n", - "plt.title('Performance gain compared to the classic least square implementation')\n", + "plt.ylabel('rel. performance gain')\n", + "plt.title('Performance gain compared to the classic least square'\\\n", + " '(n={})'.format(len(x)))\n", "plt.grid()\n", "plt.show()" ], @@ -1855,13 +1908,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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27apwl+bQoUP1HQIhhBCijKHFqovX/dCGhHp4hPCH13WnpCOt7N69GwkJCcjP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\nWFzSJF3o7e3FtWvX4OHhgStXrkBRFEydOhUTJkwQHY2IJMG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8wLx58/Dee+/hww8/RH5+PubPny9P98orryAqKgpdunRRMVrGGGMiEWpNFQAW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\nVsKiSkREZCX/D2lbGZgZrg2GAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 63 + "prompt_number": 35 }, { "cell_type": "markdown", @@ -1897,7 +1950,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "List, set and dictionary comprehensions in Python do not only look prettier and are easier to read (at least most of the time) than nested loop structures, but they also come with some small performance benefits. \n", + "In Python, we have those wonderful list, set, and dictionary comprehensions, which do not only look prettier and are easier to read (at least most of the time) than nested loop structures, but they also additionally come with some small performance benefits. \n", "Does this also apply in Cython? Let's check it out." ] }, @@ -2347,8 +2400,17 @@ "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "labels = [('cy_lstsqr', 'Cython implementation'), \n", " ('lin_lstsqr_mat', 'numpy matrix equation'),\n", diff --git a/benchmarks/cython_least_squares.ipynb b/benchmarks/cython_least_squares.ipynb index 2e97429..f1c57d5 100644 --- a/benchmarks/cython_least_squares.ipynb +++ b/benchmarks/cython_least_squares.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:b8a2adab4cfa8ac1064656d4b3e3121a2acc1060e034c98ce29986312939c9ac" + "signature": "sha256:bbbdc8e390979922204161079c12c6b2020e8457991ef30ddd3766fb3c4503e6" }, "nbformat": 3, "nbformat_minor": 0, @@ -90,7 +90,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "![](https://raw.githubusercontent.com/rasbt/python_reference/master/Images/cython_vs_chart.png) \n", + "![Performance vs. Productivity for different programming languages](https://raw.githubusercontent.com/rasbt/python_reference/master/Images/cython_vs_chart.png) \n", "(Note that this chart just reflects my rather objective thoughts after experimenting with Cython, and it is not based on real numbers or benchmarks.)\n", "
\n", "
\n", @@ -132,7 +132,7 @@ "source": [ "In more mathematical terms, our goal is to compute the best fit to *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n", "$f(x) = a\\cdot x + b$. \n", - "Here, we assume that the y-component is functionally dependent on the x-component. \n", + "We further have to assume that the y-component is functionally dependent on the x-component. \n", "In a cartesian coordinate system, $b$ is the intercept of the straight line with the y-axis, and $a$ is the slope of this line." ] }, @@ -280,7 +280,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 36 + "prompt_number": 1 }, { "cell_type": "markdown", @@ -301,7 +301,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Next, we will calculate the parameters separately, using only standard library functions in Python, which I will call the \"classic approach\"." + "Next, we will calculate the parameters separately, using standard library functions in Python only, which I will call the \"classic approach\"." ] }, { @@ -331,7 +331,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -352,7 +352,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For our convenience, `numpy` has a function that can also compute the leat squares solution of a linear matrix equation. For more information, please refer to the [documentation](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.lstsq.html)." + "For our convenience, `numpy` has a function that can computes the least squares solution of a linear matrix equation. For more information, please refer to the [documentation](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.lstsq.html)." ] }, { @@ -367,7 +367,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 38 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -388,7 +388,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The last approach is using `scipy.stats.linregress()`, which returns a tuple of 5 different attributes, where the 1st value in the tuple is the slope, and the second value is the y-axis intercept, respectively. The documentation for this function can be found [here](http://docs.scipy.org/doc/scipy-0.13.0/reference/generated/scipy.stats.linregress.html)." + "Also scipy has a least squares function, `scipy.stats.linregress()`, which returns a tuple of 5 different attributes, where the 1st value in the tuple is the slope, and the second value is the y-axis intercept, respectively. \n", + "The documentation for this function can be found [here](http://docs.scipy.org/doc/scipy-0.13.0/reference/generated/scipy.stats.linregress.html)." ] }, { @@ -404,7 +405,33 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 4 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Teaser" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "The following plot below should give you an impression of how the performance of the 4 different approaches will compare to each other at the end of this article.\n", + "\n", + "![Performance of the final Cython implemenation of the least squares fit](https://raw.githubusercontent.com/rasbt/python_reference/master/Images/cython_final_leastsqr.png)\n", + "
" + ] }, { "cell_type": "markdown", @@ -433,12 +460,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In order to test our different least squares fit implementation, we will generate some sample data: \n", + "In order to test our different least squares fit implementations, we will generate some sample data: \n", "- 500 sample points for the x-component within the range [0,500) \n", "- 500 sample points for the y-component within the range [100,600) \n", "\n", "where each sample point is multiplied by a random value within\n", - "the range [0.8, 12)." + "the range [0.8, 12) to simulate some scatter in our dataset." ] }, { @@ -454,7 +481,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 40 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -476,15 +503,25 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "To check how our dataset is distributed, and how the straight line, which we obtain via the least square fit method, we will plot it in a scatter plot. \n", - "Note that we are using our \"matrix approach\" here for simplicity, but after plotting the data, we will check whether all of the four different implementations yield the same parameters." + "To check how our dataset is distributed, and how the least squares regression line looks like, we will plot the results in a scatter plot. \n", + "Note that we are only using our \"matrix approach\" to visualize the results - for simplicity. We expect all 4 approaches to produce similar results, which we will confirm after visualizing the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ - "%pylab inline\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "from matplotlib import pyplot as plt\n", "\n", "slope, intercept = lin_lstsqr_mat(x, y)\n", @@ -514,11 +551,11 @@ "output_type": "display_data", "png": 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l74wWGRlJmTJlsixjzJgxjBkzBtBd0q74tMeqhYUFzs7OALi4uNCnTx+OHDmi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\nESNex9Sp5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44dQ7NmbWAy1QQwG8BiAFuh0ZyFQuEJtdoXg9LCMAOjAABfaDzRdswYVN63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\nYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 42 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -540,7 +577,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As mentioned above, let us confirm that the different implementation computed the same parameters (i.e., slope and y-axis intercept) as solution for the linear equation." + "As mentioned above, let us now confirm that the different implementations computed the same parameters (i.e., slope and y-axis intercept) as solution of the linear equation." ] }, { @@ -580,7 +617,7 @@ ] } ], - "prompt_number": 43 + "prompt_number": 9 }, { "cell_type": "markdown", @@ -602,7 +639,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For a first impression how the performances of the different least squares implementations compare against each other, let us do a quick benchmark using the `timeit` module via IPython's `%timeit` magic." + "To get an initial impression of how the performances of the different least squares implementations compare against each other, let us do a quick benchmark using the `timeit` module via IPython's `%timeit` magic." ] }, { @@ -626,7 +663,7 @@ "stream": "stdout", "text": [ "\n", - "matrix approach: 10000 loops, best of 3: 163 \u00b5s per loop" + "matrix approach: 10000 loops, best of 3: 158 \u00b5s per loop" ] }, { @@ -635,7 +672,7 @@ "text": [ "\n", "\n", - "classic approach: 1000 loops, best of 3: 1.55 ms per loop" + "classic approach: 1000 loops, best of 3: 1.6 ms per loop" ] }, { @@ -644,7 +681,7 @@ "text": [ "\n", "\n", - "numpy function: 1000 loops, best of 3: 221 \u00b5s per loop" + "numpy function: 1000 loops, best of 3: 217 \u00b5s per loop" ] }, { @@ -653,7 +690,7 @@ "text": [ "\n", "\n", - "scipy function: 1000 loops, best of 3: 362 \u00b5s per loop" + "scipy function: 1000 loops, best of 3: 366 \u00b5s per loop" ] }, { @@ -664,14 +701,14 @@ ] } ], - "prompt_number": 44 + "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", - "The timing above indicates, that the \"classic\" approach (Python's standard library functions only) is significantly worse in performance than the other implemenations - roughly by a magnitude of 10." + "The timing above indicates that the \"classic\" approach (Python's standard library functions only) is significantly worse in performance than the other implemenations - roughly by a magnitude of 10. However, we should keep in mind that this experiment was done for a fixed sample size n=500." ] }, { @@ -702,12 +739,12 @@ "metadata": {}, "source": [ "Maybe we can speed things up a little bit via [Cython's C-extensions for Python](http://cython.org). Cython is basically a hybrid between C and Python and can be pictured as compiled Python code with type declarations. \n", - "Since we are working in an IPython notebook here, we can make use of the IPython magic: It will automatically convert it to C code, compile it, and load the function. \n", - "Just to be thorough, let us also compile the other functions, which already use numpy objects.\n", + "Since we are working in an IPython notebook here, we can make use of the very convenient *IPython magic*: It will take care of the conversion to C code, the compilation, and eventually the loading of the function. \n", + "Let us also compile the functions for the other 3 least squares approaches - those already use numpy objects and therefore we don't expect any performance gain here, but it is good to be thorough.\n", "\n", "**Note** \n", - "Of course Cython has much more horsepower under its hood - more than I am showing in this article (for example, I am not using Cython's type definitions via `cdef` here). Here, I want to focus on how to speed up existing Python code by making only minimal changes to it. \n", - "[In a later section - Appendix II](#type_declarations) We will see how static type declarations can further improve the performance via Cython." + "Of course Cython has much more horsepower under its hood - more than I am showing in this section of this article (for example, I am not using Cython's type definitions via `cdef` here, but we will get to it [in a later section - Appendix II](#type_declarations)). \n", + "The focus of this section should be on how to speed up existing Python code by making only minimal changes to it. " ] }, { @@ -718,17 +755,8 @@ ], "language": "python", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The cythonmagic extension is already loaded. To reload it, use:\n", - " %reload_ext cythonmagic\n" - ] - } - ], - "prompt_number": 45 + "outputs": [], + "prompt_number": 11 }, { "cell_type": "code", @@ -766,7 +794,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 46 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -809,7 +837,7 @@ "\n", "\n", "matrix approach: \n", - "10000 loops, best of 3: 165 \u00b5s per loop" + "10000 loops, best of 3: 159 \u00b5s per loop" ] }, { @@ -817,7 +845,7 @@ "stream": "stdout", "text": [ "\n", - "10000 loops, best of 3: 166 \u00b5s per loop" + "10000 loops, best of 3: 159 \u00b5s per loop" ] }, { @@ -828,7 +856,7 @@ "\n", "\n", "classic approach: \n", - "1000 loops, best of 3: 1.59 ms per loop" + "1000 loops, best of 3: 1.62 ms per loop" ] }, { @@ -836,7 +864,7 @@ "stream": "stdout", "text": [ "\n", - "10000 loops, best of 3: 127 \u00b5s per loop" + "10000 loops, best of 3: 126 \u00b5s per loop" ] }, { @@ -847,7 +875,7 @@ "\n", "\n", "numpy function: \n", - "1000 loops, best of 3: 220 \u00b5s per loop" + "1000 loops, best of 3: 218 \u00b5s per loop" ] }, { @@ -855,7 +883,7 @@ "stream": "stdout", "text": [ "\n", - "1000 loops, best of 3: 221 \u00b5s per loop" + "1000 loops, best of 3: 220 \u00b5s per loop" ] }, { @@ -866,7 +894,7 @@ "\n", "\n", "scipy function: \n", - "1000 loops, best of 3: 361 \u00b5s per loop" + "1000 loops, best of 3: 372 \u00b5s per loop" ] }, { @@ -874,7 +902,7 @@ "stream": "stdout", "text": [ "\n", - "1000 loops, best of 3: 367 \u00b5s per loop" + "1000 loops, best of 3: 354 \u00b5s per loop" ] }, { @@ -885,7 +913,7 @@ ] } ], - "prompt_number": 47 + "prompt_number": 13 }, { "cell_type": "markdown", @@ -893,8 +921,8 @@ "source": [ "
\n", "
\n", - "As we've seen before, our \"classic\" implementation of the least square method is pretty slow compared to using numpy's functions. This is not surprising, since numpy is highly optmized and uses compiled C/C++ and Fortran code already. This explains why there is no significant difference if we used Cython to compile the numpy-objects-containing functions. \n", - "However, we were able to speed up the \"classic approach\" quite significantly, roughly by 1500%.\n", + "As we've seen before, our \"classic\" implementation of the least square method is pretty slow compared to the other approaches which use Numpy objects. This is not surprising, since Numpy is highly optimized and uses compiled C/C++ and Fortran code already. This explains why there is no significant difference if we used Cython to compile the numpy-objects-containing functions. \n", + "However, we were able to speed up the \"classic approach\" quite significantly via Cython, roughly by 1500%.\n", "\n", "The following 2 code blocks are just to visualize our results in a bar plot." ] @@ -919,14 +947,13 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 50 + "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "import matplotlib.pyplot as plt\n", "\n", "x_pos = np.arange(len(funcs))\n", "plt.bar(x_pos, times, align='center', alpha=0.5)\n", @@ -950,21 +977,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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1w1dffaXWoBhjjNW8SgvCqVOnsHjxYshkMsjlcgDFP7pw4cIFtQenL7gPQXeJ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\ny4NAIIBIJEJFRQUWL16MAwcOwNLSUm2n8LU0ZQG01NRUbNq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lDDdr1gzffPONSoNijDFW8yosCKdOncLixYshk8lQUFAAoOihCxcuXFB5cLqC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\nHqKjo5GbmwuBQACRSITy8nIsXLgQ+/fvh4WFhdpO4WtuygJ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tWzAxMUFKSsoL5xswYAC2bt2q89jUqVPRpk0bJCUlITw8HFOnTi2TNsuFr9CU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\n+/fvZ+LEiWzevJnr16+zatUqMjIyGDt2LC1btuThw4cEBAT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HD9ChQwfUrl0bHTt2xKNHj8qz6YwxxgyAbAXPwsICAGBpaYmbN2/CxMQEaWkv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\n6gQJeEIIIeqE/weOwIO8Og7UhQAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 51 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -993,7 +1020,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the plot above, we've seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of the sample size on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." + "In the previous section, we have seen how the different implemantations perform for a fixed sample size n=500. Now, let us take a look at the effect of different sample sizes on the relative performances for each approach. We will consider the sample sizes 10, 100, 1000, 10000, 100000, and 1000000." ] }, { @@ -1020,26 +1047,31 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 22 + "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "import matplotlib.pyplot as plt\n", "\n", - "plt.figure(figsize=(10,8))\n", + "labels = [('cy_classic_lstsqr', 'Cython implementation'), \n", + " ('lin_lstsqr_mat', 'numpy matrix equation'),\n", + " ('numpy_lstsqr', 'numpy.linalg.lstsq()'), \n", + " ('scipy_lstsqr', 'scipy.stats.linregress()')] \n", "\n", - "for f in times_n.keys():\n", - " plt.plot(orders_n, times_n[f], alpha=0.5, label=f, marker='o', lw=2)\n", + "matplotlib.rcParams.update({'font.size': 12})\n", "\n", + "fig = plt.figure(figsize=(10,8))\n", + "for lb in labels:\n", + " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n", "plt.xlabel('sample size n')\n", - "plt.ylabel('time in ms')\n", - "plt.xlim([0,max(orders_n) + max(orders_n) * 0.1])\n", + "plt.ylabel('performance gain relative to the slowest approach')\n", + "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n", "plt.legend(loc=2)\n", "plt.grid()\n", - "\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", "plt.title('Performance of least square fit implementations for different sample sizes')\n", "plt.show()" ], @@ -1049,20 +1081,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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0srKysHbtWrXP7O3bt9XOcdWP8YbOLVX3WWXsNRUXF4erV6+iY8eOCA4OxqFDhwAAcrkc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\nhAEDEUYjxRYLpVYrS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GO0dkZCQiIyOxaNEiuadZG7QzV1HR2Ho6BuPtwtocg8FgVM57uWaOwWAwysLW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\nFgv33ntv01FkoaGhjBkzhpSUFKA5G9Zjz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"text": [ - "" + "" ] } ], - "prompt_number": 34 + "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", - "In this performance comparison for different sample sizes, we see that our Cython approach is actually not so fast anymore. However, this is just the simplest approach to using Cython. There are a lot of tweaks that can be made. In a [later section](#showdown) we will come back to this comparison and see how the Cython version of our simple least squares implementation holds up against the other approaches\n", + "In this performance comparison using different sample sizes, we can see that our Cython approach is actually not so fast anymore. However, this is just the simplest approach to using Cython. \n", + "There are a lot of improvements that can be made. In a [later section](#showdown) we will come back to this comparison and see how the Cython version of our simple least squares implementation holds up against the other approaches, after we tweaked it a little bit.\n", "
" ] }, @@ -1408,15 +1441,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Like we did with Cython before, we will use the minimalist approach to Numba and see how they compare against each other. \n", + "Like we did with Cython before, we will use the minimalist approach to Numba and see how the two - Cython and Numba - compare against each other. \n", "\n", - "Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up code. If you want to read more about Numba, see the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)." + "Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up the code. If you want to read more about Numba, please see refer to the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "
\n", "Here is our \"classic\" approach in Python, where I removed the list comprehensions, since they caused errors in the Numba compilation." ] }, @@ -1556,8 +1590,17 @@ "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10,8))\n", "\n", @@ -1591,7 +1634,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Without making any modifications to the original code in order to account for the strengths of Numba (Numpy) and Cython (static type declarations), we see that Cython performs significantly better than Numba." + "Without making any modifications to the original Python code - thereby we are not accounting for the particular strengths of Numba (Numpy) and Cython (static type declarations), we see that Cython performs significantly better than Numba." ] }, { @@ -1622,7 +1665,7 @@ "metadata": {}, "source": [ "In the sections above, we have been using the simplest approach to Cython without using static type declarations and thereby neglecting one of its major strengths. \n", - "Let us now see how we can further improve the Cython implementation of our \"classic least squares approach\" by adding those type declarations." + "Now, let us see how and if we can further improve the Cython implementation of our \"classic least squares approach\" by adding those type declarations." ] }, { @@ -1649,7 +1692,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 44 + "prompt_number": 21 }, { "cell_type": "markdown", @@ -1666,7 +1709,8 @@ ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [], + "prompt_number": 23 }, { "cell_type": "code", @@ -1686,7 +1730,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 45 + "prompt_number": 24 }, { "cell_type": "markdown", @@ -1714,7 +1758,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 55 + "prompt_number": 25 }, { "cell_type": "markdown", @@ -1748,14 +1792,23 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 58 + "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(10,8))\n", "\n", @@ -1777,13 +1830,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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C31vRvv7+/ujQoQNmzZqF4uJiHD58GNu3b9fv98wzz6CwsBA7d+5EcXExPvnkExQVFelv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jP/j836tVq1bgMSEEFAoFPvroIxw8eBBfffUVnJ2dYWpqitmzZyMtLU1j2S83QysUCqhU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"text": [ - "" + "" ] } ], - "prompt_number": 59 + "prompt_number": 27 }, { "cell_type": "markdown", @@ -1791,7 +1844,8 @@ "source": [ "
\n", "
\n", - "The improvement is pretty significant when static type declarations are used. One more experiment to see by how much we could improve our \"classic least squares\" code via Cython compared to the initial Python implementation.\n", + "The improvement is pretty significant when static type declarations are used. \n", + "One more experiment to see by how much we could improve our \"classic least squares\" code via Cython compared to the initial Python implementation:\n", "
\n", "
" ] @@ -1809,7 +1863,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 60 + "prompt_number": 30 }, { "cell_type": "code", @@ -1832,20 +1886,30 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 61 + "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "x_pos = np.arange(len(funcs[1:]))\n", "plt.bar(x_pos, times_rel, align='center', alpha=0.5, color=\"green\")\n", "plt.xticks(x_pos, labels[1:], rotation=90)\n", - "plt.ylabel('relative performance gain')\n", - "plt.title('Performance gain compared to the classic least square implementation')\n", + "plt.ylabel('rel. performance gain')\n", + "plt.title('Performance gain compared to the classic least square'\\\n", + " '(n={})'.format(len(x)))\n", "plt.grid()\n", "plt.show()" ], @@ -1855,13 +1919,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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27apwl+bQoUP1HQIhhBCijKHFqovX/dCGhHp4hPCH13WnpCOt7N69GwkJCcjP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\nWFzSJF3o7e3FtWvX4OHhgStXrkBRFEydOhUTJkwQHY2IJMG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8wLx58/Dee+/hww8/RH5+PubPny9P98orryAqKgpdunRRMVrGGGMiEWpNFQAW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\nVsKiSkREZCX/D2lbGZgZrg2GAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 63 + "prompt_number": 35 }, { "cell_type": "markdown", @@ -1897,7 +1961,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "List, set and dictionary comprehensions in Python do not only look prettier and are easier to read (at least most of the time) than nested loop structures, but they also come with some small performance benefits. \n", + "In Python, we have those wonderful list, set, and dictionary comprehensions, which do not only look prettier and are easier to read (at least most of the time) than nested loop structures, but they also additionally come with some small performance benefits. \n", "Does this also apply in Cython? Let's check it out." ] }, @@ -2347,8 +2411,17 @@ "cell_type": "code", "collapsed": false, "input": [ - "#%pylab inline\n", - "#import matplotlib.pyplot as plt\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", "\n", "labels = [('cy_lstsqr', 'Cython implementation'), \n", " ('lin_lstsqr_mat', 'numpy matrix equation'),\n",