pydarc/permutation_algebra_examples.ipynb

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   "source": [
    "from src.models import OuterKey, InnerKey, AlphabetKey"
   ]
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   "source": [
    "height = 10\n",
    "width = 7\n",
    "\n",
    "a0 = AlphabetKey.init_matrix(width, height, 255)\n",
    "\n",
    "o0 = OuterKey.init_matrix(height)\n",
    "o1 = OuterKey.init_matrix(height)\n",
    "o2 = OuterKey.init_matrix(height)\n",
    "o3 = OuterKey.init_matrix(height)\n",
    "\n",
    "i0 = InnerKey.init_matrix(width, height)\n",
    "i1 = InnerKey.init_matrix(width, height)\n",
    "i2 = InnerKey.init_matrix(width, height)\n"
   ],
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   "source": [
    "a0_i0_o0_v0 = a0 << (i0 < o0)\n",
    "a0_i0_o0_v1 = ((a0 < ~o0) << i0) < o0\n",
    "\n",
    "a0_i0_o0_v0 == a0_i0_o0_v1"
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      "True\n"
     ]
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   "source": [
    "a0_o0_i0_v0 = (a0 < o0) << i0\n",
    "a0_o0_i0_v1 = (a0 << (i0 < ~o0)) < o0\n",
    "a0_i0_o0_v0 == a0_i0_o0_v1"
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     "execution_count": 5,
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   "source": [
    "a0_o0_i0_v0 = (a0 < o0) << i0\n",
    "a0_o0_i0_v1 = (a0 << (i0 < ~o0)) < o0\n",
    "a0_o0_i0_v0 == a0_o0_i0_v1"
   ],
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   "source": [
    "n_i0_i1 = ~(i0 << i1)\n",
    "ni1_ni0 = ~i1 << ~i0\n",
    "ni1_ni0 == n_i0_i1"
   ],
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   "source": [
    "i0_i1_i2_v0 = i0 << i1 << i2\n",
    "i0_i1_i2_v1 = i0 << (i1 << i2)\n",
    "i0_i1_i2_v2 = (i0 << i1) << i2\n",
    "i0_i1_i2_v0 == i0_i1_i2_v1 == i0_i1_i2_v2"
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   "source": [
    "i0_i2_i1 = i0 << i2 << i1\n",
    "i0 == i0_i2_i1 << ~(i2 << i1) == i0_i2_i1 << ~i1 << ~i2"
   ],
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    "i0_o0_o1_o2_v1 = ((i0 < o0) < o1) < o2\n",
    "i0_o0_o1_o2_v2 = (i0 < (o0 << o1)) < o2\n",
    "i0_o0_o1_o2_v3 = ((i0 < o0) < (o1 << o2))\n",
    "\n",
    "i0_o0_o1_o2_v1 == i0_o0_o1_o2_v2 == i0_o0_o1_o2_v3"
   ],
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     "execution_count": 12,
     "metadata": {},
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   "source": [
    "i0 < (o0 << o1 << o2) != i0_o0_o1_o2_v1 # not equal"
   ],
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