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@@ -127,19 +129,19 @@ Namespaces</h2></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ad76f5cac3ef8dc034f6abb99b64c2b20" id="r_ad76f5cac3ef8dc034f6abb99b64c2b20"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#ad76f5cac3ef8dc034f6abb99b64c2b20">divide_and_conquer::karatsuba_algorithm::add_strings</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> first, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> second)</td></tr>
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<tr class="memdesc:ad76f5cac3ef8dc034f6abb99b64c2b20"><td class="mdescLeft">&#160;</td><td class="mdescRight">Binary addition. <br /></td></tr>
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<tr class="memitem:aad9e3edfe156b59fc06a5585403fe0d6" id="r_aad9e3edfe156b59fc06a5585403fe0d6"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;str, int64_t x1, int64_t x2, int64_t n)</td></tr>
<tr class="memitem:aad9e3edfe156b59fc06a5585403fe0d6" id="r_aad9e3edfe156b59fc06a5585403fe0d6"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;str, int64_t x1, int64_t x2, int64_t n)</td></tr>
<tr class="memdesc:aad9e3edfe156b59fc06a5585403fe0d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wrapper function for substr that considers leading zeros. <br /></td></tr>
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<tr class="memitem:a7a890d2f26855ada3b9f1d43aec70a86" id="r_a7a890d2f26855ada3b9f1d43aec70a86"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#a7a890d2f26855ada3b9f1d43aec70a86">divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str1, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str2)</td></tr>
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<tr class="memdesc:a7a890d2f26855ada3b9f1d43aec70a86"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements Karatsuba's algorithm for fast multiplication. <br /></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="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> divide_and_conquer::karatsuba_algorithm::add_strings </td>
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<td class="memname">int64_t divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm </td>
<td>(</td>
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@@ -287,11 +275,11 @@ Here is the call graph for this function:</div>
<div class="line"><span class="lineno"> 124</span> int64_t fh = n / 2; <span class="comment">// first half of string</span></div>
<div class="line"><span class="lineno"> 125</span> int64_t sh = n - fh; <span class="comment">// second half of string</span></div>
<div class="line"><span class="lineno"> 126</span> </div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Xl = <a class="code hl_function" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str1, 0, fh, n); <span class="comment">// first half of first string</span></div>
<div class="line"><span class="lineno"> 128</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Xr = <a class="code hl_function" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str1, fh, sh, n); <span class="comment">// second half of first string</span></div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Xl = <a class="code hl_function" href="#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str1, 0, fh, n); <span class="comment">// first half of first string</span></div>
<div class="line"><span class="lineno"> 128</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Xr = <a class="code hl_function" href="#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str1, fh, sh, n); <span class="comment">// second half of first string</span></div>
<div class="line"><span class="lineno"> 129</span> </div>
<div class="line"><span class="lineno"> 130</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Yl = <a class="code hl_function" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str2, 0, fh, n); <span class="comment">// first half of second string</span></div>
<div class="line"><span class="lineno"> 131</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Yr = <a class="code hl_function" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str2, fh, sh, n); <span class="comment">// second half of second string</span></div>
<div class="line"><span class="lineno"> 130</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Yl = <a class="code hl_function" href="#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str2, 0, fh, n); <span class="comment">// first half of second string</span></div>
<div class="line"><span class="lineno"> 131</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> Yr = <a class="code hl_function" href="#aad9e3edfe156b59fc06a5585403fe0d6">divide_and_conquer::karatsuba_algorithm::safe_substr</a>(str2, fh, sh, n); <span class="comment">// second half of second string</span></div>
<div class="line"><span class="lineno"> 132</span> </div>
<div class="line"><span class="lineno"> 133</span> <span class="comment">// calculating the three products of inputs of size n/2 recursively</span></div>
<div class="line"><span class="lineno"> 134</span> int64_t product1 = <a class="code hl_namespace" href="../../de/d41/namespacekaratsuba__algorithm.html">karatsuba_algorithm</a>(Xl, Yl);</div>
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<div class="line"><span class="lineno"> 141</span> (product3 - product1 - product2) * (1 &lt;&lt; sh) +</div>
<div class="line"><span class="lineno"> 142</span> product2; <span class="comment">// combining the three products to get the final result.</span></div>
<div class="line"><span class="lineno"> 143</span>}</div>
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<div class="ttc" id="anamespacekaratsuba__algorithm_html"><div class="ttname"><a href="../../de/d41/namespacekaratsuba__algorithm.html">karatsuba_algorithm</a></div><div class="ttdoc">Functions for the Karatsuba algorithm for fast multiplication implementation.</div></div>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 181</span> {</div>
<div class="line"><span class="lineno"> 182</span> <a class="code hl_function" href="../../da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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35
da/dd3/namespacespirograph.html
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac" id="r_aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplParams" colspan="2">template&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> N&gt; </td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aeca22dbe4563358960e907a40cd3e1ac">spirograph</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</td></tr>
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<tr class="memdesc:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test function to save resulting points to a CSV file. <br /></td></tr>
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<td class="memname">void spirograph::test </td>
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