mpc-whitening.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random, sys\n",
    "from scipy import stats\n",
    "import scipy\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import time\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from numpy.random import Generator, PCG64\n",
    "from randomgen.aes import AESCounter\n",
    "\n",
    "rng = Generator(PCG64())\n",
    "rng = Generator(AESCounter(mode='sequence'))\n",
    "\n",
    "\n",
    "m = 0b0011111111111101  # modulus, shorter version of yours 0x7ffe1 with a similar concept, also a prime\n",
    "m = 0xff3d\n",
    "m = 65537\n",
    "#m = 131071\n",
    "\n",
    "def rr(ran, dist=False):  # fully random 16 bits\n",
    "  a = [0 for _ in range(2**16)] if not dist else [0]*ran\n",
    "  for i in range(ran):\n",
    "    x = random.getrandbits(16) \n",
    "    if dist:\n",
    "        a[i] = x\n",
    "    else:\n",
    "        a[x] += 1 \n",
    "  return a\n",
    "\n",
    "\n",
    "def mm(ran, st=0, dist=False):\n",
    "  a = [0 for _ in range(m)] if not dist else []\n",
    "  for i in range(ran): \n",
    "    x = random.randint(0, m-1) if st == 0 else (random.getrandbits(st) % m) \n",
    "    if dist:\n",
    "        a.append(x)\n",
    "    else:\n",
    "        a[x] += 1 \n",
    "  return a \n",
    "                                                                                                               \n",
    "\n",
    "def mr(ran, st=0, dist=False): \n",
    "  tp = (2**16) // m\n",
    "  rm = (2**16) - tp * m    \n",
    "  bd = float(2**16)/m\n",
    "  mx = (2**16) - 1\n",
    "  step = 1/(m-1)\n",
    "  ctr=0\n",
    "    \n",
    "  # another idea: monte-carlo rejection sampling-like.\n",
    "  # offset multiplier: \n",
    "    \n",
    "  a = [0 for _ in range(2**16)] if not dist else [0]*ran\n",
    "  for i in range(ran): \n",
    "    y = random.getrandbits(16) \n",
    "    #z = random.getrandbits(st) % m  # not uniform on m\n",
    "    z = random.randint(0, m-1 - st)  # uniform [0, m-1]\n",
    "    \n",
    "    # clear modulus space (no neg. vals), then add\n",
    "    # problem: absolutely weird shape, like a game logo :D\n",
    "    #x = (y - m if y >= m else y) + z\n",
    "    \n",
    "    # moduli multiplies, resembles distrib, 4*m is only in small counts compared to {0,1,2,3}*m\n",
    "    # problem: no occurences for 0xfff4+, 4*m and above, and wraps over by adding +z if z > 2**16 - 4m\n",
    "    #x = (y - (y % m)) + z\n",
    "    \n",
    "    # also not working\n",
    "    #x = (z + (random.getrandbits(2) << 14)) #^ (random.getrandbits(2))\n",
    "    \n",
    "    # works: randomized moduli offset, higher only if does not wrap \n",
    "    # works for: z = random.getrandbits(st) % m\n",
    "    #x = (m * random.randint(0, tp if z < rm else tp-1)) + z\n",
    "#     x = (m * random.randint(0, tp)) + z\n",
    "#     if x > 0xffff:\n",
    "#         ctr += 1\n",
    "#         continue\n",
    "\n",
    "    x = z & mx\n",
    "    \n",
    "    #x = int(rng.uniform(0, bd) * m + rng.integers(0,m))  # try this in spreader\n",
    "    \n",
    "    # reversed - down sampled from uniform dist. up - from z/m, rounded to strip precision\n",
    "    \n",
    "    # inverse sampling - bit weird\n",
    "#     u = (z / (m-1)) / 10\n",
    "#     cr = random.randint(0, 9) / 10\n",
    "#     x = round((u + cr) * mx)\n",
    "    \n",
    "#     # inverse sampling, works only for mod < 2**50\n",
    "#     u = (z / (m-1))\n",
    "#     cr = random.uniform(0, step)\n",
    "#     x = int((u + cr) * mx)\n",
    "    \n",
    "    # inverse sampling, just different naming\n",
    "#     u = random.uniform(0, step)\n",
    "#     c = (z / (m-1))\n",
    "#     x = int((c + u) * mx)\n",
    "    \n",
    "    if x > 0xffff:  # should not happen, skews distribution\n",
    "        ctr += 1#sys.stdout.write('.')\n",
    "        continue\n",
    "    \n",
    "    if dist:\n",
    "        a[i] = x & 0xffff\n",
    "    else:\n",
    "        a[x & 0xffff] += 1 \n",
    "  print('over the top: %s' % (ctr,))      \n",
    "  return a "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "rvs1 = rr(2**24, dist=True)\n",
    "rvs3 = rr(2**24, dist=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "over the top: 0\n",
      "Computing stats\n",
      "KstestResult(statistic=0.0002639293670654297, pvalue=0.6028557013584463)\n",
      "KstestResult(statistic=0.00036531686782836914, pvalue=0.21281472034758264)\n",
      "Ttest_indResult(statistic=0.37069324817476995, pvalue=0.710866022136178)\n",
      "Ttest_indResult(statistic=0.9795270710461964, pvalue=0.32731962652336366)\n"
     ]
    }
   ],
   "source": [
    "# rvs1 = rr(2**16, dist=True)\n",
    "# rvs2 = rr(2**16, dist=True)\n",
    "\n",
    "#rvs1 = mm(2**22, dist=True)\n",
    "#rvs2 = mm(2**22, 14, dist=True)\n",
    "\n",
    "# rvs1 = rr(2**22, dist=True)\n",
    "# rvs2 = mm(2**22, 14, dist=True)\n",
    "\n",
    "# rvs1 = rr(2**20, dist=True)\n",
    "# rvs2 = mr(2**20, 0, dist=True)\n",
    "# print('computing KS...')\n",
    "# print(stats.ks_2samp(rvs1, rvs2))\n",
    "\n",
    "rvs2 = mr(2**24, 0, dist=True)\n",
    "\n",
    "print('Computing stats')\n",
    "print(stats.ks_2samp(rvs1, rvs2))\n",
    "print(stats.ks_2samp(rvs1, rvs3))\n",
    "print(stats.ttest_ind(rvs1, rvs2))\n",
    "print(stats.ttest_ind(rvs1, rvs3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating distribution 1623405099.2451184\n",
      "over the top: 0\n",
      "Distribution generated 1623405158.981588\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Graph generated 1623405167.129506\n"
     ]
    }
   ],
   "source": [
    "print('Generating distribution', time.time())\n",
    "am = mr(2**24, st=0); \n",
    "print('Distribution generated', time.time())\n",
    "\n",
    "plt.figure(figsize=(16, 12))\n",
    "sns.lineplot(x=list(range(2**16)), y=am)\n",
    "plt.show()\n",
    "print('Graph generated', time.time())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 12))\n",
    "sns.lineplot(x=list(range(2**8)), y=am[:2**8])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "ctr = 0\n",
    "for i,x in enumerate(am):\n",
    "    if x < 150:\n",
    "        ctr += 1\n",
    "        print(\"i: %6d, bin: %16s, hex: %06x, ctr: %s\" % (i, (bin(i)[2:]).rjust(16,'0'), i, x))\n",
    "    if ctr > 200:\n",
    "        break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('0x3ffd', 16381)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hex(m),m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "256.44205191376835"
      ]
     },
     "execution_count": 152,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mmod = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001\n",
    "math.log(3*mmod,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  65526:     3\n",
      "  65527:  2525\n",
      "  65528:  2497\n",
      "  65529:  2540\n",
      "  65530:  2436\n",
      "  65531:  2440\n",
      "  65532:  2566\n",
      "  65533:  2538\n",
      "  65534:  2455\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "\n",
    "#step = 1/(m-1)\n",
    "step = 1/(m)\n",
    "\n",
    "ta = []#[int((0*step + random.uniform(0, step)) * ((2**16) - 1)) for _ in range(10000)]\n",
    "tb = []#[int((1*step + random.uniform(0, step)) * ((2**16) - 1)) for _ in range(10000)]\n",
    "tc = []#[int((2*step + random.uniform(0, step)) * ((2**16) - 1)) for _ in range(10000)]\n",
    "tw = [int(((m-2)*step + random.uniform(0, step)) * ((2**16) - 1)) for _ in range(10000)]\n",
    "tu = [int(((m-1)*step + random.uniform(0, step)) * ((2**16) - 1)) for _ in range(10000)]\n",
    "#print(ta)\n",
    "\n",
    "ctr = Counter(ta+tb+tc+tw+tu)\n",
    "for x in sorted(ctr.keys()):\n",
    "    print('%7d: %5d' % (x, ctr[x]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.000976800976801"
      ]
     },
     "execution_count": 183,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(2**16)*step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24993896484375"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1/(2**16/(m-1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24993896484375"
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