diff --git a/bit_manipulation/pairwise_swap/__init__.py b/bit_manipulation/pairwise_swap/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb b/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb new file mode 100644 index 0000000..6174be8 --- /dev/null +++ b/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb @@ -0,0 +1,174 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Challenge Notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problem: Swap the odd and even bits of a positive integer with as few operations as possible.\n", + "\n", + "* [Constraints](#Constraints)\n", + "* [Test Cases](#Test-Cases)\n", + "* [Algorithm](#Algorithm)\n", + "* [Code](#Code)\n", + "* [Unit Test](#Unit-Test)\n", + "* [Solution Notebook](#Solution-Notebook)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Constraints\n", + "\n", + "* Can we assume the input is always a positive int?\n", + " * Yes\n", + "* Can we assume we're working with 32 bits?\n", + " * Yes\n", + "* Is the output an int?\n", + " * Yes\n", + "* Can we assume the inputs are valid (not None)?\n", + " * No\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* None -> Exception\n", + "* 0 -> 0\n", + "* -1 -> -1\n", + "* General case\n", + "
\n",
+    "    input  = 1001 1111 0110\n",
+    "    result = 0110 1111 1001\n",
+    "
"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Algorithm\n",
+    "\n",
+    "Refer to the [Solution Notebook]().  If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Code"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "class Bits(object):\n",
+    "\n",
+    "    def pairwise_swap(self, num):\n",
+    "        # TODO: Implement me\n",
+    "        pass"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Unit Test"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "**The following unit test is expected to fail until you solve the challenge.**"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "# %load test_pairwise_swap.py\n",
+    "from nose.tools import assert_equal\n",
+    "\n",
+    "\n",
+    "class TestBits(object):\n",
+    "\n",
+    "    def test_pairwise_swap(self):\n",
+    "        bits = Bits()\n",
+    "        assert_equal(bits.pairwise_swap(0), 0)\n",
+    "        assert_equal(bits.pairwise_swap(1), 1)\n",
+    "        num = int('0000100111110110', base=2)\n",
+    "        expected = int('0000011011111001', base=2)\n",
+    "        assert_equal(bits.pairwise_swap(num), expected)\n",
+    "        print('Success: test_pairwise_swap')\n",
+    "\n",
+    "\n",
+    "def main():\n",
+    "    test = TestBits()\n",
+    "    test.test_pairwise_swap()\n",
+    "\n",
+    "\n",
+    "if __name__ == '__main__':\n",
+    "    main()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Solution Notebook\n",
+    "\n",
+    "Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
+   ]
+  }
+ ],
+ "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": "3.5.0"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb b/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb
new file mode 100644
index 0000000..9de5545
--- /dev/null
+++ b/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb
@@ -0,0 +1,219 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Solution Notebook"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Problem: Swap the odd and even bits of a positive integer with as few operations as possible.\n",
+    "\n",
+    "* [Constraints](#Constraints)\n",
+    "* [Test Cases](#Test-Cases)\n",
+    "* [Algorithm](#Algorithm)\n",
+    "* [Code](#Code)\n",
+    "* [Unit Test](#Unit-Test)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Constraints\n",
+    "\n",
+    "* Can we assume the input is always a positive int?\n",
+    "    * Yes\n",
+    "* Can we assume we're working with 32 bits?\n",
+    "    * Yes\n",
+    "* Is the output an int?\n",
+    "    * Yes\n",
+    "* Can we assume the inputs are valid (not None)?\n",
+    "    * No\n",
+    "* Can we assume this fits memory?\n",
+    "    * Yes"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Test Cases\n",
+    "\n",
+    "* None -> Exception\n",
+    "* 0 -> 0\n",
+    "* -1 -> -1\n",
+    "* General case\n",
+    "
\n",
+    "    input  = 0000 1001 1111 0110\n",
+    "    result = 0000 0110 1111 1001\n",
+    "
"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Algorithm\n",
+    "\n",
+    "
\n",
+    "* Isolate the odd bits with a mask:\n",
+    "    0000 1001 1111 0110  num\n",
+    "    1010 1010 1010 1010  mask\n",
+    "    --------------------------------\n",
+    "    0000 1000 1010 0010  num & mask\n",
+    "\n",
+    "* Shift the odd bits right:\n",
+    "    0000 0100 0101 0001  odd\n",
+    "\n",
+    "* Isolate the even bits with a mask:\n",
+    "    0000 1001 1111 0110  num\n",
+    "    0101 0101 0101 0101  mask\n",
+    "    --------------------------------\n",
+    "    0000 0001 0101 0100  num & mask\n",
+    "\n",
+    "* Shift the even bits left:\n",
+    "    0000 0010 1010 1000  even\n",
+    "\n",
+    "* Return even | odd\n",
+    "    0000 0100 0101 0001  odd\n",
+    "    0000 0010 1010 1000  even\n",
+    "    --------------------------------\n",
+    "    0000 0110 1111 1001  odd | even\n",
+    "
\n", + "\n", + "Complexity:\n", + "* Time: O(b), where b is the number of bits\n", + "* Space: O(b), where b is the number of bits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Bits(object):\n", + "\n", + " def pairwise_swap(self, num):\n", + " if num is None:\n", + " raise TypeError('num cannot be None')\n", + " if num == 0 or num == 1:\n", + " return num\n", + " odd = (num & int('1010101010101010', base=2)) >> 1\n", + " even = (num & int('0101010101010101', base=2)) << 1\n", + " return odd | even" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Unit Test" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Overwriting test_pairwise_swap.py\n" + ] + } + ], + "source": [ + "%%writefile test_pairwise_swap.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestBits(object):\n", + "\n", + " def test_pairwise_swap(self):\n", + " bits = Bits()\n", + " assert_equal(bits.pairwise_swap(0), 0)\n", + " assert_equal(bits.pairwise_swap(1), 1)\n", + " num = int('0000100111110110', base=2)\n", + " expected = int('0000011011111001', base=2)\n", + " assert_equal(bits.pairwise_swap(num), expected)\n", + " assert_raises(TypeError, bits.pairwise_swap, None)\n", + " \n", + " print('Success: test_pairwise_swap')\n", + "\n", + "\n", + "def main():\n", + " test = TestBits()\n", + " test.test_pairwise_swap()\n", + "\n", + "\n", + "if __name__ == '__main__':\n", + " main()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Success: test_pairwise_swap\n" + ] + } + ], + "source": [ + "%run -i test_pairwise_swap.py" + ] + } + ], + "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": "3.5.0" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/bit_manipulation/pairwise_swap/test_pairwise_swap.py b/bit_manipulation/pairwise_swap/test_pairwise_swap.py new file mode 100644 index 0000000..5ee4cae --- /dev/null +++ b/bit_manipulation/pairwise_swap/test_pairwise_swap.py @@ -0,0 +1,24 @@ +from nose.tools import assert_equal, assert_raises + + +class TestBits(object): + + def test_pairwise_swap(self): + bits = Bits() + assert_equal(bits.pairwise_swap(0), 0) + assert_equal(bits.pairwise_swap(1), 1) + num = int('0000100111110110', base=2) + expected = int('0000011011111001', base=2) + assert_equal(bits.pairwise_swap(num), expected) + assert_raises(TypeError, bits.pairwise_swap, None) + + print('Success: test_pairwise_swap') + + +def main(): + test = TestBits() + test.test_pairwise_swap() + + +if __name__ == '__main__': + main() \ No newline at end of file