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<div class="headertitle"><div class="title">prefix_sum_array.cpp</div></div>
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<div class="contents">
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<a href="../../d1/d9e/prefix__sum__array_8cpp.html">Go to the documentation of this file.</a><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="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d69/namespacerange__queries.html">range_queries</a> {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d88/namespaceprefix__sum__array.html">prefix_sum_array</a> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> </div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>std::vector<int64_t> PSA(1, 0);</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="foldopen" id="foldopen00041" data-start="{" data-end="}">
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="../../d1/d9e/prefix__sum__array_8cpp.html#ab36151479ad37d53ef9fcb60a274b1d9"> 41</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#ab36151479ad37d53ef9fcb60a274b1d9">build</a>(std::vector<int64_t> original_array) {</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.size()); 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>
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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="l00052" name="l00052"></a><span class="lineno"><a class="line" href="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf"> 52</a></span>int64_t <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf">query</a>(int64_t beg, int64_t end) { <span class="keywordflow">return</span> PSA[end] - PSA[beg - 1]; }</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>} <span class="comment">// namespace prefix_sum_array</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>} <span class="comment">// namespace range_queries</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span></div>
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<div class="foldopen" id="foldopen00061" data-start="{" data-end="}">
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="../../d1/d9e/prefix__sum__array_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 61</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> std::vector<int64_t> 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="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf">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="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf">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="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf">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>
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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="foldopen" id="foldopen00080" data-start="{" data-end="}">
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"><a class="line" href="../../d1/d9e/prefix__sum__array_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 80</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d1/d9e/prefix__sum__array_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</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>
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<div class="ttc" id="anamespaceprefix__sum__array_html"><div class="ttname"><a href="../../d7/d88/namespaceprefix__sum__array.html">prefix_sum_array</a></div><div class="ttdoc">Range sum queries using prefix-sum-array.</div></div>
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<div class="ttc" id="anamespacerange__queries_html"><div class="ttname"><a href="../../dd/d69/namespacerange__queries.html">range_queries</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../d6/d2e/fenwick__tree_8cpp_source.html#l00028">fenwick_tree.cpp:28</a></div></div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_a7c8fd967c36dbba5fdf9c71faed604cf"><div class="ttname"><a href="../../d1/d9e/prefix__sum__array_8cpp.html#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a></div><div class="ttdeci">int64_t query(int64_t beg, int64_t end)</div><div class="ttdoc">query function</div><div class="ttdef"><b>Definition</b> <a href="#l00052">prefix_sum_array.cpp:52</a></div></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> <a href="#l00061">prefix_sum_array.cpp:61</a></div></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> <a href="#l00041">prefix_sum_array.cpp:41</a></div></div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/d9e/prefix__sum__array_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00080">prefix_sum_array.cpp:80</a></div></div>
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