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<title>Algorithms_in_C++: range_queries/prefix_sum_array.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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@@ -177,11 +177,12 @@ Variables</h2></td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= static_cast<int>(original_array.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); i++) {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> PSA.push_back(PSA[i - 1] + original_array[i]);</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> }</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
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<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i <= static_cast<int>(original_array.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); i++) {</div>
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<div class="line"><span class="lineno"> 43</span> PSA.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(PSA[i - 1] + original_array[i]);</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<div class="line"><span class="lineno"> 45</span>}</div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -210,10 +211,10 @@ Here is the call graph for this function:</div>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> {</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 80</span> {</div>
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<div class="line"><span class="lineno"> 81</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 83</span>}</div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/d9e/prefix__sum__array_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> prefix_sum_array.cpp:61</div></div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>sum of the range [beg, end] </dd></dl>
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<div class="fragment"><div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span>{ <span class="keywordflow">return</span> PSA[<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>] - PSA[beg - 1]; }</div>
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<div class="fragment"><div class="line"><span class="lineno"> 52</span>{ <span class="keywordflow">return</span> PSA[<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>] - PSA[beg - 1]; }</div>
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<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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@@ -289,23 +290,23 @@ Here is the call graph for this function:</div>
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<p>Self-test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int64_t></a> values{0, 123, 0, 2, -2, 5,</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> 24, 0, 23, -1, -1}; <span class="comment">// original array</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#ab36151479ad37d53ef9fcb60a274b1d9">range_queries::prefix_sum_array::build</a>(values);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// queries are of the type: sum of the range [a, b] = psa[b] - psa[a-1]</span></div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(1, 10) ==</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> 173); <span class="comment">// sum of the entire array</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(4, 6) ==</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> 27); <span class="comment">// the sum of the interval [4, 6]</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(5, 9) ==</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> 51); <span class="comment">// the sum of the interval [5, 9]</span></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="fragment"><div class="line"><span class="lineno"> 61</span> {</div>
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<div class="line"><span class="lineno"> 62</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int64_t></a> values{0, 123, 0, 2, -2, 5,</div>
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<div class="line"><span class="lineno"> 63</span> 24, 0, 23, -1, -1}; <span class="comment">// original array</span></div>
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<div class="line"><span class="lineno"> 64</span> </div>
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<div class="line"><span class="lineno"> 65</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#ab36151479ad37d53ef9fcb60a274b1d9">range_queries::prefix_sum_array::build</a>(values);</div>
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<div class="line"><span class="lineno"> 66</span> <span class="comment">// queries are of the type: sum of the range [a, b] = psa[b] - psa[a-1]</span></div>
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<div class="line"><span class="lineno"> 67</span> </div>
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<div class="line"><span class="lineno"> 68</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(1, 10) ==</div>
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<div class="line"><span class="lineno"> 69</span> 173); <span class="comment">// sum of the entire array</span></div>
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<div class="line"><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(4, 6) ==</div>
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<div class="line"><span class="lineno"> 71</span> 27); <span class="comment">// the sum of the interval [4, 6]</span></div>
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<div class="line"><span class="lineno"> 72</span> assert(<a class="code hl_function" href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">range_queries::prefix_sum_array::query</a>(5, 9) ==</div>
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<div class="line"><span class="lineno"> 73</span> 51); <span class="comment">// the sum of the interval [5, 9]</span></div>
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<div class="line"><span class="lineno"> 74</span>}</div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_ab36151479ad37d53ef9fcb60a274b1d9"><div class="ttname"><a href="../../d1/d9e/prefix__sum__array_8cpp.html#ab36151479ad37d53ef9fcb60a274b1d9">range_queries::prefix_sum_array::build</a></div><div class="ttdeci">void build(std::vector< int64_t > original_array)</div><div class="ttdoc">function that builds the PSA</div><div class="ttdef"><b>Definition:</b> prefix_sum_array.cpp:41</div></div>
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<div class="ttc" id="asegtree_8cpp_html_a423a97ea0c7ea6e33b5844a6858d902d"><div class="ttname"><a href="../../d2/d45/segtree_8cpp.html#a423a97ea0c7ea6e33b5844a6858d902d">query</a></div><div class="ttdeci">int64_t query(std::vector< int64_t > *segtree, std::vector< int64_t > *lazy, uint64_t qlow, uint64_t qhigh, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">Returns the sum of all elements in a range.</div><div class="ttdef"><b>Definition:</b> segtree.cpp:62</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector< int64_t ></a></div></div>
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@@ -321,7 +322,7 @@ Here is the call graph for this function:</div>
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<ul>
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<li class="navelem"><a class="el" href="../../dir_074119ce3a874b57120c49a0cc4bb5ad.html">range_queries</a></li><li class="navelem"><a class="el" href="../../d1/d9e/prefix__sum__array_8cpp.html">prefix_sum_array.cpp</a></li>
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