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<div class="headertitle"><div class="title">gray_code.cpp</div></div>
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<div class="contents">
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include <bitset></span> </div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a> {</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../de/d9b/namespacegray__code.html">gray_code</a> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>std::vector<std::bitset<32>> gray_code_generation(<span class="keywordtype">int</span> n) {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> std::vector<std::bitset<32>> <a class="code hl_namespace" href="../../de/d9b/namespacegray__code.html">gray_code</a> = {}; <span class="comment">// Initialise empty vector</span></div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// No Gray codes for non-positive values of n</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">if</span> (n <= 0) {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../de/d9b/namespacegray__code.html">gray_code</a>;</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">int</span> total_codes = 1 << n; <span class="comment">// Number of n-bit gray codes</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < total_codes; i++) {</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">int</span> gray_num = i ^ (i >> 1); <span class="comment">// Gray code formula</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <a class="code hl_namespace" href="../../de/d9b/namespacegray__code.html">gray_code</a>.push_back(std::bitset<32>(gray_num)); <span class="comment">// Store the value</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../de/d9b/namespacegray__code.html">gray_code</a>;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>} </div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>} <span class="comment">// namespace gray_code</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>} <span class="comment">// namespace bit_manipulation</span></div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="keyword">static</span> <span class="keywordtype">void</span> test() { </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> std::vector<std::bitset<32>> gray_code_negative_1 = {};</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> std::vector<std::bitset<32>> gray_code_0 = {};</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> std::vector<std::bitset<32>> gray_code_1 = {</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> std::bitset<32>(0), std::bitset<32>(1)</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> };</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> std::vector<std::bitset<32>> gray_code_2 = {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::bitset<32>(0), std::bitset<32>(1), std::bitset<32>(3), std::bitset<32>(2)</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> };</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> std::vector<std::bitset<32>> gray_code_3 = {</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> std::bitset<32>(0), std::bitset<32>(1), std::bitset<32>(3), std::bitset<32>(2),</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> std::bitset<32>(6), std::bitset<32>(7), std::bitset<32>(5), std::bitset<32>(4)</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> };</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> std::vector<std::bitset<32>> gray_code_4 = {</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> std::bitset<32>(0), std::bitset<32>(1), std::bitset<32>(3), std::bitset<32>(2),</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> std::bitset<32>(6), std::bitset<32>(7), std::bitset<32>(5), std::bitset<32>(4),</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::bitset<32>(12), std::bitset<32>(13), std::bitset<32>(15), std::bitset<32>(14),</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::bitset<32>(10), std::bitset<32>(11), std::bitset<32>(9), std::bitset<32>(8)</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> };</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> std::vector<std::bitset<32>> gray_code_5 = {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::bitset<32>(0), std::bitset<32>(1), std::bitset<32>(3), std::bitset<32>(2),</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::bitset<32>(6), std::bitset<32>(7), std::bitset<32>(5), std::bitset<32>(4),</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::bitset<32>(12), std::bitset<32>(13), std::bitset<32>(15), std::bitset<32>(14),</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> std::bitset<32>(10), std::bitset<32>(11), std::bitset<32>(9), std::bitset<32>(8),</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> std::bitset<32>(24), std::bitset<32>(25), std::bitset<32>(27), std::bitset<32>(26),</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> std::bitset<32>(30), std::bitset<32>(31), std::bitset<32>(29), std::bitset<32>(28),</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::bitset<32>(20), std::bitset<32>(21), std::bitset<32>(23), std::bitset<32>(22),</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> std::bitset<32>(18), std::bitset<32>(19), std::bitset<32>(17), std::bitset<32>(16)</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> };</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// invalid values for n</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> assert(bit_manipulation::gray_code::gray_code_generation(-1) == gray_code_negative_1);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> assert(bit_manipulation::gray_code::gray_code_generation(0) == gray_code_0);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// valid values for n</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> assert(bit_manipulation::gray_code::gray_code_generation(1) == gray_code_1);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> assert(bit_manipulation::gray_code::gray_code_generation(2) == gray_code_2);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> assert(bit_manipulation::gray_code::gray_code_generation(3) == gray_code_3);</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> assert(bit_manipulation::gray_code::gray_code_generation(4) == gray_code_4);</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> assert(bit_manipulation::gray_code::gray_code_generation(5) == gray_code_5);</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> test(); <span class="comment">//Run self-test implementation</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span>}</div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="anamespacebit__manipulation_html"><div class="ttname"><a href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a></div><div class="ttdoc">for assert</div></div>
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<div class="ttc" id="anamespacegray__code_html"><div class="ttname"><a href="../../de/d9b/namespacegray__code.html">gray_code</a></div><div class="ttdoc">Generate n-bit Gray code.</div></div>
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