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d1/d9e/prefix__sum__array_8cpp.html

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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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std::vector&lt; int64_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>range_queries::prefix_sum_array::PSA</b> (1, 0)</td></tr>
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<tr class="memitem:ab36151479ad37d53ef9fcb60a274b1d9" id="r_ab36151479ad37d53ef9fcb60a274b1d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ab36151479ad37d53ef9fcb60a274b1d9">range_queries::prefix_sum_array::build</a> (std::vector&lt; int64_t &gt; original_array)</td></tr>
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<tr class="memdesc:ab36151479ad37d53ef9fcb60a274b1d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">function that builds the PSA <br /></td></tr>
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<tr class="memitem:a98e118ed64ba95a8198e1a915459c177" id="r_a98e118ed64ba95a8198e1a915459c177"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a98e118ed64ba95a8198e1a915459c177">range_queries::prefix_sum_array::build</a> (const std::vector&lt; int64_t &gt; &amp;original_array)</td></tr>
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<tr class="memdesc:a98e118ed64ba95a8198e1a915459c177"><td class="mdescLeft">&#160;</td><td class="mdescRight">function that builds the PSA <br /></td></tr>
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<tr class="memitem:a7c8fd967c36dbba5fdf9c71faed604cf" id="r_a7c8fd967c36dbba5fdf9c71faed604cf"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a> (int64_t beg, int64_t end)</td></tr>
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<tr class="memdesc:a7c8fd967c36dbba5fdf9c71faed604cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">query function <br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-var-members" class="groupheader"><a id="var-members" name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:a4051fe9652babad269ce08239eb493f1" id="r_a4051fe9652babad269ce08239eb493f1"><td class="memItemLeft" align="right" valign="top">std::vector&lt; int64_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a4051fe9652babad269ce08239eb493f1">range_queries::prefix_sum_array::PSA</a> {}</td></tr>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Prefix_sum" target="_blank">Prefix Sum Array</a> data structure implementation. </p>
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<p class="definition">Definition in file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ab36151479ad37d53ef9fcb60a274b1d9">&#9670;&#160;</a></span>build()</h2>
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<a id="a98e118ed64ba95a8198e1a915459c177" name="a98e118ed64ba95a8198e1a915459c177"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a98e118ed64ba95a8198e1a915459c177">&#9670;&#160;</a></span>build()</h2>
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<td class="memname">void range_queries::prefix_sum_array::build </td>
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<td class="paramtype">std::vector&lt; int64_t &gt;</td> <td class="paramname"><span class="paramname"><em>original_array</em></span></td><td>)</td>
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<td class="paramtype">const std::vector&lt; int64_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>original_array</em></span></td><td>)</td>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00041">41</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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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 &lt;= static_cast&lt;int&gt;(original_array.size()); i++) {</div>
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<div class="line"><span class="lineno"> 43</span> PSA.push_back(PSA[i - 1] + original_array[i]);</div>
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<div class="line"><span class="lineno"> 42</span> PSA.clear();</div>
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<div class="line"><span class="lineno"> 43</span> PSA.push_back(0);</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">for</span> (std::size_t i = 1; i &lt; original_array.size(); ++i) {</div>
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<div class="line"><span class="lineno"> 45</span> PSA.push_back(PSA.back() + original_array[i]);</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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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00080">80</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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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="#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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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00082">82</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
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<div class="line"><span class="lineno"> 83</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 85</span>}</div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#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="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00063">prefix_sum_array.cpp:63</a></div></div>
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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"><span class="lineno"> 52</span>{ <span class="keywordflow">return</span> PSA[end] - PSA[beg - 1]; }</div>
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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00054">54</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 54</span>{ <span class="keywordflow">return</span> PSA[end] - PSA[beg - 1]; }</div>
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<p>Self-test implementations. </p>
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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="#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"> 68</span> assert(<a class="code hl_function" href="#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a>(1, 10) ==</div>
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<div class="line"><span class="lineno"> 70</span> assert(<a class="code hl_function" href="#a7c8fd967c36dbba5fdf9c71faed604cf">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="#a7c8fd967c36dbba5fdf9c71faed604cf">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_a7c8fd967c36dbba5fdf9c71faed604cf"><div class="ttname"><a href="#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="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00052">prefix_sum_array.cpp:52</a></div></div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_ab36151479ad37d53ef9fcb60a274b1d9"><div class="ttname"><a href="#ab36151479ad37d53ef9fcb60a274b1d9">range_queries::prefix_sum_array::build</a></div><div class="ttdeci">void build(std::vector&lt; int64_t &gt; original_array)</div><div class="ttdoc">function that builds the PSA</div><div class="ttdef"><b>Definition</b> <a href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00041">prefix_sum_array.cpp:41</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00063">63</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 63</span> {</div>
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<div class="line"><span class="lineno"> 66</span> </div>
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<div class="line"><span class="lineno"> 67</span> <a class="code hl_function" href="#a98e118ed64ba95a8198e1a915459c177">range_queries::prefix_sum_array::build</a>(values);</div>
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<div class="line"><span class="lineno"> 68</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"> 69</span> </div>
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<div class="line"><span class="lineno"> 70</span> assert(<a class="code hl_function" href="#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a>(1, 10) ==</div>
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<div class="line"><span class="lineno"> 71</span> 173); <span class="comment">// sum of the entire array</span></div>
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<div class="line"><span class="lineno"> 72</span> assert(<a class="code hl_function" href="#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a>(4, 6) ==</div>
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<div class="line"><span class="lineno"> 73</span> 27); <span class="comment">// the sum of the interval [4, 6]</span></div>
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<div class="line"><span class="lineno"> 74</span> assert(<a class="code hl_function" href="#a7c8fd967c36dbba5fdf9c71faed604cf">range_queries::prefix_sum_array::query</a>(5, 9) ==</div>
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<div class="line"><span class="lineno"> 76</span>}</div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_a7c8fd967c36dbba5fdf9c71faed604cf"><div class="ttname"><a href="#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="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00054">prefix_sum_array.cpp:54</a></div></div>
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<div class="ttc" id="aprefix__sum__array_8cpp_html_a98e118ed64ba95a8198e1a915459c177"><div class="ttname"><a href="#a98e118ed64ba95a8198e1a915459c177">range_queries::prefix_sum_array::build</a></div><div class="ttdeci">void build(const std::vector&lt; int64_t &gt; &amp;original_array)</div><div class="ttdoc">function that builds the PSA</div><div class="ttdef"><b>Definition</b> <a href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00041">prefix_sum_array.cpp:41</a></div></div>
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<a name="doc-var-members" id="doc-var-members"></a><h2 id="header-doc-var-members" class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a4051fe9652babad269ce08239eb493f1">&#9670;&#160;</a></span>PSA</h2>
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<td class="memname">std::vector&lt;int64_t&gt; range_queries::prefix_sum_array::PSA {}</td>
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<p class="definition">Definition at line <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html#l00034">34</a> of file <a class="el" href="../../d1/d9e/prefix__sum__array_8cpp_source.html">prefix_sum_array.cpp</a>.</p>
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d1/d9e/prefix__sum__array_8cpp.js

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