Inverse_Sqrt.ipynb

{
 "cells": [
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "53a35133-798d-4126-be6e-6c8fd50d38e6",
   "metadata": {},
   "source": [
    "# Best Reciprocal Sqrt ?\n",
    "\n",
    "**Seemingly minor variations** in the way we approach computing **Reciprocal Sqrt** can perform as much as **3 to 4 orders of magnitude**faster or slower. \n",
    "\n",
    "Which one you choose depends on your need for **accuracy, speed, reability, maintainability**.\n",
    "\n",
    "### See which one scores highest in your needs assetsment!\n",
    "\n",
    "![image.png](attachment:bce4b36c-f528-4a64-9c64-62144fed1e69.png)\n",
    "\n",
    "## Where is it used?\n",
    "- ### Physics/ Engineering\n",
    "    - ### Special Relativity Lorentz transformation\n",
    "    - ## ${\\displaystyle \\gamma ={\\frac {1}{\\sqrt {1-{\\frac {v^{2}}{c^{2}}}}}}}$\n",
    "- ### 3D Graphics or ML applications needing normailization in space\n",
    "    - #### vector normalization in video games and is mostly used in calculations involved in 3D programming\n",
    " \n",
    "This is an intersting topic as the recent history of this computation shows a seesaw improvement in methods used\n",
    "\n",
    "- Still find articles extolling virtue of Fast Reciprocal Sqrt as was implemeted in Quake III - Just an ingenious applicatiopn of Newton method to get fast approximations of this value\n",
    "- Then the introduction by Intel of SSE instructions which compute reciprocal sqrt as part of SSE instruction set\n",
    "- Where does it stand today?\n",
    "- See article [Is Fast Inverse Square Root still Fast?](https://www.linkedin.com/pulse/fast-inverse-square-root-still-armin-kassemi-langroodi/?utm_source=share&utm_medium=member_android&utm_campaign=share_via)\n",
    "- See article by ajcr\n",
    "    - https://ajcr.net/fast-inverse-square-root-python/\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01a570ca-97c7-44cb-a0ec-eaa0a35bd93d",
   "metadata": {},
   "source": [
    "\n",
    "## What we we test in this notebook?\n",
    "\n",
    "In this workbook we will test the folloing approaches:\n",
    "\n",
    "- PyTorch rsqrt:\n",
    "    - Use torch built in function rsqrt()\n",
    "- NP_Compose RecipSqrt\n",
    "    - Use NumPy np.reicprocal(np.sqrt())\n",
    "- NP_Simple a**-.5\n",
    "    - Use Numpy implicit vectors: b = a**-.5\n",
    "- Cython_Simple a**-.5\n",
    "    - Use Cython variant of Simple a**-.5\n",
    "- Numba_SImple a**-.5\n",
    "    - Use Numba njit varaint of Simple a**-.5\n",
    "- BruteForceLoopExact\n",
    "    - Brute force loop approach no vectorization at all\n",
    "- FRSNewtonLoop\n",
    "    - Fast Reciprocal Sqrt using Newton Raphson and Quake III approach\n",
    "- FRSNewtonVectorize\n",
    "    - Fast Reciprocal Sqrt using Newton Raphson and Quake III approach vecortized with np.apply\n",
    "- CythonFRSNewtonApply\n",
    "    - Fast Reciprocal Sqrt using Newton Raphson and Quake III approach in Cython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "65a93cde-759e-41c5-9aee-ffa40ac11196",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Text color values\n",
    "rd = '\\033[91m'\n",
    "gr = '\\033[92m'\n",
    "yl = '\\033[93m'\n",
    "bl = '\\033[94m'\n",
    "pk = '\\033[95m'\n",
    "tl = '\\033[96m'\n",
    "gy = '\\033[97m'\n",
    "bk = '\\033[0m'\n",
    "\n",
    "import time\n",
    "import math\n",
    "N =  1_000_000\n",
    "a = [i for i in range(1, N)]\n",
    "b = []\n",
    "timing = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2352e6c4-fa6b-49ff-8607-391ec916e217",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = [1.0/math.sqrt(x) for x in a]\n",
    "t2 = time.time()\n",
    "timing[f'BruteForceLoopExact'] = N/(t2-t1)\n",
    "print(f\"elapsed {rd}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6e34d2b-7c81-4786-ba99-913ee8f7ffe6",
   "metadata": {},
   "source": [
    "# Apply imprecise Newton Fast approx\n",
    "\n",
    "Adapted from wikipedia article about fast inverse square root\n",
    "\n",
    "- [Wikipedia:_Fast_inverse_square_root](https://en.wikipedia.org/wiki/Fast_inverse_square_root)\n",
    "\n",
    "And excellent blog write up by ajcr\n",
    "- [acjr.net:The_Fast_Inverse_Square_Root_method_in_Python](https://ajcr.net/fast-inverse-square-root-python/)\n",
    "- This article, after comparing several mehtods for computing reciprocal sqrt on **single value** recommends just using:\n",
    "```python\n",
    "a**-.5\n",
    "```\n",
    "\n",
    "Lets try vectorizing this function which **appoximates reciprocal sqrt using newton method**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bf15e052-25ca-4125-9106-47c48b03199c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ctypes import c_float, c_int32, cast, byref, POINTER\n",
    "import time\n",
    "\n",
    "def ctypes_isqrt(number):  # operates on single value at a time\n",
    "    threehalfs = 1.5\n",
    "    x2 = number * 0.5\n",
    "    y = c_float(number)\n",
    "\n",
    "    i = cast(byref(y), POINTER(c_int32)).contents.value\n",
    "    i = c_int32(0x5f3759df - (i >> 1))\n",
    "    y = cast(byref(i), POINTER(c_float)).contents.value\n",
    "\n",
    "    y = y * (1.5 - (x2 * y * y))\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "be543ec0-d100-485b-b811-74c836d186f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    b = ctypes_isqrt(a)\n",
    "except:\n",
    "    print(\"Can't handle list or ndarray - just single value\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "44e73cbe-7833-4640-8f2b-0e2276ece1d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = []\n",
    "for i in range(1,  N ):\n",
    "    b.append(ctypes_isqrt(i))\n",
    "t2 = time.time()\n",
    "timing[f'FRSNewtonLoop'] = N/(t2-t1)\n",
    "print(f\"elapsed {rd}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb68d489-0fa0-46cb-bfde-b49143a9c284",
   "metadata": {},
   "source": [
    "# Assume we will do NumPy coversion \n",
    "\n",
    "for rest of cells in notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c8a6d604-51d0-41d7-8267-2b9f8cb111c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "import numpy as np\n",
    "\n",
    "a = np.array([i for i in range(1,     N)])\n",
    "a = np.expand_dims(a, axis = 0)  # make the array the right sahpe for use by apply"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c66b316-5c94-427a-8f26-69c54850938d",
   "metadata": {},
   "source": [
    "### NumPy apply (vectorize along axis)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bcc2d243-47cb-4c4a-83a0-4cc1255d4461",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = np.apply_along_axis(ctypes_isqrt, 0, a)\n",
    "t2 = time.time()\n",
    "timing['FRSNewtonVectorize'] = N/(t2-t1)\n",
    "print(f\"elapsed {rd}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0f47004-d7d6-42e0-a2ec-c7de4ba6da36",
   "metadata": {},
   "source": [
    "# Cython Newton Approximation Method\n",
    "\n",
    "https://cython.readthedocs.io/en/latest/src/tutorial/cython_tutorial.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0ddbc0bf-8102-44f1-bab5-3ba359cd77a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "a = np.array([i for i in range(1, N)])\n",
    "a = np.expand_dims(a, axis = 0)  # make the array the right sahpe for use by apply\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32d1534a-17d8-43b6-ab39-5fa0b61903ea",
   "metadata": {},
   "source": [
    "### Time compute for single value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9dbf04a3-0fa8-4af2-b65e-630dce28be66",
   "metadata": {},
   "outputs": [],
   "source": [
    "from cython_NewtonRecipSqrt import ctypes_nbsqrt\n",
    "t1 = time.time()\n",
    "print(\"estimate 1/sqrt(16)\", ctypes_nbsqrt(16) ) # FOr a single value\n",
    "t2 = time.time()\n",
    "print(f\"elapsed single calc {(t2-t1):,.1f} sec\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7ad208ae-d24a-4f59-949f-fd9090c75357",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = np.apply_along_axis(ctypes_nbsqrt, 0, a)\n",
    "t2 = time.time()\n",
    "timing['CythonFRSNewtonApply'] = N/(t2-t1)\n",
    "print(f\"elapsed {rd}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2791428c-8c37-4e3f-a94a-704443720801",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ctypes_isqrt(a)   #error"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f608d25b-5033-4fed-9d42-e7e8dea923a1",
   "metadata": {},
   "source": [
    "# Cython Simple  Method\n",
    "\n",
    "- Edit & save:  **cython_Exact.pyx**\n",
    "   \n",
    "```python\n",
    "def ctypes_Exsqrt(x):  # operates on single value at a time\n",
    "    y = x**(-.5)\n",
    "    return y\n",
    "```\n",
    "\n",
    "- edit & save **setup.py**\n",
    "  ```python\n",
    "    from distutils.core import setup\n",
    "    from Cython.Build import cythonize\n",
    "    setup(ext_modules = cythonize('cython_NewtonRecipSqrt.pyx'))\n",
    "    setup(ext_modules = cythonize('cython_Exact.pyx'))\n",
    "```\n",
    "\n",
    "- python setup.py build_ext --inplace\n",
    "- setup(ext_modules = cythonize('cython_Exact.pyx')) creates cython_Eact.so\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4d703fd-a657-4a5f-abf0-6c1d7fa2a883",
   "metadata": {},
   "source": [
    "- now we can import using in Jupyter:\n",
    "\n",
    "```python\n",
    "    from cython_Exact import ctypes_Exsqrt\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0affc888-865d-49b4-8c6e-5be1ca6298ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "from cython_Exact import ctypes_Exsqrt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a2009e42-a7d4-493b-a707-e18ba3028d67",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = ctypes_Exsqrt(a)\n",
    "t2 = time.time()\n",
    "timing['CythonExact'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d82f53d-e862-4c40-8452-7d5c14c8a83c",
   "metadata": {},
   "source": [
    "# Numba Simple approach\n",
    "https://numba.pydata.org/numba-doc/latest/user/jit.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5ef22b29-b7d8-4de0-97ea-977194acf601",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numba\n",
    "import numpy as np\n",
    "N = 100_000_000\n",
    "a = np.array([i for i in range(1, N)])\n",
    "#a = np.expand_dims(a, axis = 0)  # make the array the right sahpe for use by apply\n",
    "\n",
    "@numba.njit\n",
    "def ctypes_nbsqrt(number):  # operates on single value at a time\n",
    "  return number ** -0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7d37997a-9485-4ee1-add9-8dd4e62a45ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "ctypes_nbsqrt(a)\n",
    "t2 = time.time()\n",
    "timing['ExactNumba'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98e1be99-b5f6-4fbc-9fa6-81a4ddec9fba",
   "metadata": {},
   "source": [
    "# Assume we have converted \"a\" to NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eef97e77-e0f6-4b17-8b18-9684bbae81c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "a = np.array([i for i in range(1, N)])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "486e5d2f-ac69-46ea-b2da-dbcecbb5735a",
   "metadata": {},
   "source": [
    "### NumPy Compose reciprocal and sqrt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85970865-42f8-4b06-a0e1-eaa710450cee",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = np.reciprocal(np.sqrt(a))\n",
    "t2 = time.time()\n",
    "timing['ExactNP_recipSqrt'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d203564-4d74-4b4e-9490-bc8ae41d59e5",
   "metadata": {},
   "source": [
    "## Numpy Simple minded a**-.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "31a2b6ea-0400-4b63-814a-b84ce5546a61",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = a**-.5\n",
    "t2 = time.time()\n",
    "timing['ExactNP_a**-.5'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5f5b6a3-00c6-4d2e-b9c4-89e867a76541",
   "metadata": {},
   "source": [
    "# PyTorch rsqrt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "71a91a08-650e-4198-969f-74358f1b30e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "t1 = time.time()\n",
    "b = torch.rsqrt(torch.tensor(a))\n",
    "t2 = time.time()\n",
    "timing['PyTorch.rsqrt'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a129e7a8-f697-4364-9391-0a6d1b4e810c",
   "metadata": {},
   "outputs": [],
   "source": [
    "t1 = time.time()\n",
    "b = a**-.5\n",
    "t2 = time.time()\n",
    "timing['ExactNP_a**-.5'] = N/(t2-t1)\n",
    "print(f\"elapsed {gr}{N/(t2-t1):,.1f} iter/sec{bk}\")\n",
    "b[:5]  # aproximate answer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b529adb7-024c-4b0d-936c-a88a67e8238c",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.title(\"Reciprocal Sqrt Methods [Higher is better]\")\n",
    "plt.ylabel(\"Iterations per second\",fontsize=12)\n",
    "plt.xlabel(\"Mystery Alogorithms Used [Higher is better]\",fontsize=14)\n",
    "plt.grid(True)\n",
    "plt.yscale('log')\n",
    "plt.xticks(rotation=-60)\n",
    "timingH = dict(sorted(timing.items(), key=lambda x:x[1], reverse=True))\n",
    "plt.bar(x = range(len(timingH)), height=timingH.values(), align='center', tick_label=list(timingH.keys()))\n",
    "mysteryList = [f'Mystery Algo {i+1}' for i in range(len(timingH))]\n",
    "#plt.bar(x = range(len(timingH)), height=timingH.values(), align='center', tick_label=mysteryList)\n",
    "short = min(list(timingH.values()))\n",
    "long = max(list(timingH.values()))\n",
    "print('Speedup : {:4.0f} X'.format(long/short))"
   ]
  },
  {
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ui+7GWMvUzBNACWrUtn2Ym1+ztDfGS2yUHdae/nzPdTq7QbmwYxIFO6yD387VM6OLca693Rma9OyCsPP+pTToo0GXNwk5fjdp5dehf3ya+l4YUqbYr1q6+nQObfHfaMk6BkFQsppePlyj77lVv7usmzq2qK2q5ZqrR4dw9UUrqmnr2u6yR3Z2kYOBJX1uBoCjDcHAIqp5bl+dne+WSN9F0Gv/0VcxngVT06qq7knt1fPyq3T7fffrz5cU8GXRd6lXlIu9unULKMpftbbquotBKTq5YbiTf27wsDAbvl4aUmJAqtOgToTtb6CWp7iLAau1bqu7CAAAAOCoU+mUTmrpLgcd1LyF37jLuTZkLs6X2aCTuqtdnkuabN91Sv5MuKZ1wl/3OCo10amhlz8Hv9WWqCJfp6lHh/CBL0dqHZ2U79LvR3391jMaM2yo7r5/rJ546T3NXfJNMcyXlqO1y1a7y0HlOrZX00IuOht17q587+rb5doQzXVwiwZ5MzW9KlYv+HdIXtVa6NI/jNDoe2/S5R2aqGJMmYLFNNde9jd6/fFp4ecuq9hJA25MD5ZY9Nu4TF/kHwRR3QjHU6MWrd2loJXrtrlLQElJVVqNBjq98wW66saB+vMD1xcQhPNJjS1sH52SPjcDwNGHYGCRNVDvK8LcuXj4S70yfVXRU+T9crK1e8s3+vyj1zVp7POa5z4cj7o18kUvI6itOhGuWwuTnZ2/RM/Wt8Zq8F1DC/x5ZpH7hx5boq+BCgAAACDZpDVXxxbussfhRUu11l0uqEToSR2ah2S4HdS+MFlmC58Lf32S+zNW0/LdoLhJW6O5TCkkECBV1ennnlZgRtThg1lalzlHb7z8jB4Z/ScNHjpCDz77H81dl6Wihwa3ae1Kd9Hj1BYF3ZjqUaOBTnYXg76J6kbOhnUjXGSmpeXPlMRRI7VaE53Z7yb9ZcwYPXTvH3TTZTa3XlWVKyz2cHiTpv1raQKnGMnW2nde0bxwGakp9XX5HZeqabiGmn0w/w0JW9/WX8P2K+7Pc4vdP/QInYIFOMJysndqw5IMvf3Sk3o4TGnpoivhczMAHIUIBiZAWsuLdVXb/N9MDy56XTNCy9ZEJUd7ncDfm3rx6bH681DfCW7YSP113DN69d3FWrkr3G1ppVGWdofm9wMAAABAzNJ0aufT3GWPw4u1xD/3etgSoaepW9vQmyGztLMkK4/UqJp/fr0QaadcqkEXhs6fXoDDB7Vz1Vy94btWvGfoBL25siijnoft6fJJjaoUTVWLc4ZIwLVqWsX82VY4KqVWq6OTO1+ga24ZogfH/NUpYXjlOc1Vo4AD5fCqz/RVgiJou+c/r0kZP7prXsery43X68wCGunuLAZBUNrkWIw6v3IpBZ9zctzA39Tn9fCoEbr7rqG650+PasLL0zQrc5MOFsuwZAmfmwHgKEQwMCF8F6a/7quW+c6iP+qTqe9pXdQnyWxtmf+KHhz6Jw13An8LfBe2WdpXVmJ/AAAAAFBMUlu0UTt3OeiwPl+SWyp07cIF+TJyUtq2UcuoAlvFqFw0c/qlqe65t+kv91yps086Pvp506w84nN/0/j5pEEg2eWWMDzjous1bMxw3da1dpjjZJPWbS16vmz2ujc1/l+bwoS2U9TwstvU9yRyV1GWZGlHuESFhmHKNe9epTcfG6G7h7mBv0WrtTXrYCJu8wAAlAK/+J+Pu1xmbNpUHOnoBdidofGjpynvebOTbnvkUjV11/x2z39SD4b9wphfl1vG+L5AuiuOLH3xwpP6x7Iwd56lHK+qDZvo5BYtdMpJ9dWoTpbeHvZCvlKh+Z/zG71+1zNR/J0r7Hutr8vvvS38XW++L8iDn17grrga9NGf/uCvm5+tL54dqX+sclYCGl42RIMKmCweAAAAQOlWv359dymoZK7RcvTVSyP1fGbIFVeK7/psTBstGeq79snzqxTftc8DYa59vtWb9z+lT0IihwVeJ8Vg7RtD9WSGu+KXfpPGXd7EXYlSzj5tWbdMSxZ9qS9WfqusQtMwwl23RXM9uFMzRz2qd0JiiR1vGKOr8k/SGCLc85fT2XeM0KUN3VXfde7cx8bqjW/dVVfka8JwzxvhuhQJVXLHd46ysy1IsUlrv16llas2aUvDi/WXq1tHETw34dtuvrYVbtyigDEdh42LPBR+nsCKvmN5mO9YjhQKzF7yvO59OWQezjzjJCjrSvYcGOO4XjjZSzXpT68qtCJ01Qvv1J/PDc7Hl73xP3ri6bnamq/tp6hc1epqdFJzndKihRo1rK2Ur5/XmLdC3nMB7dzGSv/6r5C/DXteLL5zM1DahOtHgJJAZmACVevcV+dXd1ditHfJm3o1NBBY8TT97p6/atyY+/XnW65S33Pb6+SGNZQWXc2WUiBNlarmv1dvx85wRfcBAAAAIJJUtWzbKn820OHF+vwN30/oAGa5TuoYdgCxqmoExz8Ddu9N2IzvRZdaUXVbpuviq2/Snx94QOMeHKK7brlSl59zmhqGnTxtkxauiuc6q6pqBgJ3QV+tConehbPzW61wF4MayHfJChRq9ydP6V4rO/jc63on40uty8rSwa+XamXUiX2pVlE2sbK/0euPhw8EpjToo0GFBAJNWqWq+fuonbsSOJchEJu9Xy/IFwi0vr/LKd7O+lvNmBwaCExRwwtv1cgHH9CD9w3UgH4X6Mx2TVS3WlqUpaRjVQbOzQBQxhEMTKga6tnvzELng8hvn776dHW+jMKOV1yl02uEOcNm7yszE0k3bNnKXQo6uHCpNrjLAAAAABCt1FPSdUb+aKAWZizOdz1VrmMbNXKX86qopqfkz0pbmbH8CA3Y5yh791atDczP9ID+Mj0kGJdaVXVPaqMzL7pKgx4YosvDBjnDRDAKlep73vx3px9cuFhrCwnKbJg/W/mKk/q2sSkVFBGFanUbhAnsf6lZUZe83aed+abnS1HdGvFWIcrS3Gef17xwMfWKnTTgxigz+xo016nuYsDBxVoSrkwjUOx26vOPcktp51H9TJ3qDbytW5y/7dfprWvObaBKYYYl9+7c5S4lUmk7NwNA8iEYmGgNfSfL9OPdlWjt0tYwN15mZ4e/+2X3ws/C3NVTOqWe1Fr5qsscXKBpBXzBz1n3pv58/1g9/Ozrenv+Uq3YuFPZRS/5DwAAACApNFG7DuEy40JVVY/ODdzl/Gqe1Erl3OWAde/p/XUFXIPNf1J3jxyrJ156UzMXrtLaLVkJu07ZMH2U7h39mJ4MzM/0o7Lmz9TnBY5+pigt38bHr1rrdOWLLfqu2V58bVmBA7A2p9rzn+aboVHtup6mSu4aENFJ7dUlTDve+NaTen1lYZlA2Vrxxov5ygkqpZVaFnzYR5CttW88qTe+DZcSWF+X33Fp9EHu1CY6pYW7HHBQ86ZnhL+pO+cbvT5yhP7y6PN65Z0MpyzwDgZBkBB2nDyjd/LF7Xx99UWd8swXuHvn1vy3k2Tv8z1DGNmrNG9h6MEXo6zwz12azs0AkIwIBiZcqppe1FcdY7o4S1FKmL//+rXn9fa6LPnPYzk7v9GcF8bqwdC63KVZWhud3zX0zR3Wxn/9TQ+/sVRbAleXOdqx8k2Nf3aB9h3M0tZVizXrX6/qmccf1b0j/0MmIQAAAABH046d8g8WhgrNegjVsLsuzRcB+1Hznv6b/v7JN9oduAjbpw3zX9R4mxt+X5bWZS7QO6+9oCfHjdW9zy1OSLZCo87dlW9TD6/Wq+Ne1Jx1eW+OzNm9VV+88YxeXeY+EFBODevEmRFVqb0u7pr/htZ9mf/QXx/9j77Ysi94TbrX9/rTJ+jPT/uu29zH/FIaXKyLTykrU1rgyGugbheFmzPJdxw+N0oPvvSZVmwJjoc4crK1Y12GXnl0lJ7JCJlmxadi57N0ahxNcPf85zUpzPMppbbOvuX6GOeqTNPpvc7M10cd/naaHnz0Ted48svZuUqvP27ZiAeVtXW1Fn48Tf947imN+dMovUkmIeKUk52lLUve06RR4Y+TlBZ91Sekr04rFybanTVHk15aHBy3s7lsl/xHD498QUWNBWrjMq1wo+N2XtviP+mWonMzACSjX/zPx10uM0pmcnqXTR49epryfg+LMNm0K/vrV/TnyV8WWKgldALctW/crycz4inrEtSu/191TZ4TeowTDYd9rxEmag83EXe4CYOt7v5Dvu2IZwoLu2Op/32+90WtGQAAAKA0qF8//wB+iV6j6Vu9ef9T+bOCPBpeNkSDOhcSHLPrn4fCzw9WuOq66J4/qmdIFG/tG0N913Xuil/6TRp3eRN3JZwc3/8b6/t/YYIRUUppcaX+dGObkKy8GK4HLTtpdLzXbD4VfdfI94TLnsrS3MfG6o2QSjiRP59w2x3huhQJVbLHt7WPv4XPyIuVtcF7fW0wNBgYbtwiz5hO+DYaszzHuWUa/i3uYzql7e/0l6tbFzo/IY6Mkj1GwvfjcSuorw47Hhijqr019L7ueTIOHb5j8G7fMRjpKC/X9VY9eImb1lsM52agtAnXjwAlgczAYpJ2ygXq0yCa8jW5mp57sRpG/ecpOqnDaQq9dFqxbpu7VMqkNVHfW2J5f34pqtP1JvUlEAgAAAAgoIHaRSzF0kRdWkeRJVctXQP6d4pjzvfjdcpvr0/gYGOqml5+my4/KeYLJkdK1U4acHVoIDBGqb5rtntu1dl14tiGiq30u1jKKAIBVXXmjbeqT5xtP6Diabp+cJhA4BGT5jumb4ppTMgvpc6Zuu0yAoFIvJSq7XOPk3CNq1p7XRzDlEf2XO1CbyrJ+kZbwlXztHk0CzkUDuZ4In+l5twMAMmHYGCx8X2pvbq3GrprhbKT3R0Xq9DvwCm11eOW+3R7v3SdHPK3BxcuLb3lNGucpUH3Xhf9xaWV47jhj7r7kgZ8CQYAAACQR6O27QsuFdqik06NMjKW1vJSDRvcR6dUje46JaVqK10++I/6fbs4S3IWyHf96LvOu+uyVopyU3xSVLV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"
    }
   },
   "cell_type": "markdown",
   "id": "7c35b3cb-d83c-457b-a1e1-35e5bd26ba3d",
   "metadata": {},
   "source": [
    "# Incomplete Experiments\n",
    "\n",
    "### Use Intel compiler to make shared onject (so)\n",
    "\n",
    "\n",
    "- Download from here: https://www.intel.com/content/www/us/en/developer/articles/tool/oneapi-standalone-components.html#dpcpp-cpp\n",
    "\n",
    "\n",
    "![image.png](attachment:4e923a19-4926-48ea-bb62-e85bc88c1095.png)\n",
    "\n",
    "\n",
    "- Install on linux (WSL: Ubunutu)\n",
    "\n",
    "```bash\n",
    "sh Downloads/l_dpcpp-cpp-compiler_p_2023.2.1.8_offline.sh\n",
    "\n",
    "source intel/oneapi/setvars.sh intel64 --force\n",
    "\n",
    "cd Examples/python/\n",
    "\n",
    "icx-cc -fPIC -shared -o bob_cython.so cython_Exact.c -I../../intel/oneapi/intelpython/python3.9/include/python3.9/\n",
    "\n",
    "```\n",
    "\n",
    "DID NOT GET THE COMPILER PART TO WORK YET\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ea3ba941-e8a9-44c4-b571-2b5bee6b7531",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9ed30b6c-b81d-4cb2-b8d6-91ba9789411b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7ef554bb-6525-48ff-9910-38bee6318aa9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}