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<div class="title">elliptic_curve_key_exchange.cpp File Reference</div> </div>
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<div class="contents">
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<p>Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange">Elliptic Curve Diffie Hellman Key Exchange</a>.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <iostream></code><br />
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<code>#include "<a class="el" href="../../da/da3/uint256__t_8hpp_source.html">uint256_t.hpp</a>"</code><br />
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Include dependency graph for elliptic_curve_key_exchange.cpp:</div>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a></td></tr>
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||||
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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Namespaces</h2></td></tr>
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<tr class="memitem:d6/d4e/namespaceciphers"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4e/namespaceciphers.html">ciphers</a></td></tr>
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<tr class="memdesc:d6/d4e/namespaceciphers"><td class="mdescLeft"> </td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Base64">Base64 Encoding and Decoding</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html">ciphers::elliptic_curve_key_exchange</a></td></tr>
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<tr class="memdesc:df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange"><td class="mdescLeft"> </td><td class="mdescRight">namespace <a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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Typedefs</h2></td></tr>
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<tr class="memitem:af0a6e3521629c25c2b5d620f26429830"><td class="memItemLeft" align="right" valign="top">typedef struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">ciphers::elliptic_curve_key_exchange::Point</a></td></tr>
|
||||
<tr class="memdesc:af0a6e3521629c25c2b5d620f26429830"><td class="mdescLeft"> </td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">More...</a><br /></td></tr>
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<tr class="separator:af0a6e3521629c25c2b5d620f26429830"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
|
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<tr class="memitem:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">ciphers::elliptic_curve_key_exchange::exp</a> (<a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> number, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a5769b745458157ef2679949155684f3b">power</a>, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod)</td></tr>
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||||
<tr class="memdesc:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="mdescLeft"> </td><td class="mdescRight">This function calculates number raised to exponent power under modulo mod using <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp">Modular Exponentiation</a>. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">More...</a><br /></td></tr>
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<tr class="separator:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d8/dc8/struct_point.html">Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">ciphers::elliptic_curve_key_exchange::addition</a> (<a class="el" href="../../d8/dc8/struct_point.html">Point</a> a, <a class="el" href="../../d8/dc8/struct_point.html">Point</a> b, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> mod)</td></tr>
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||||
<tr class="memdesc:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="mdescLeft"> </td><td class="mdescRight">Addition of points. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">More...</a><br /></td></tr>
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<tr class="separator:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a17f3d667241b88115a95282cdd719cb2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d8/dc8/struct_point.html">Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange::multiply</a> (const <a class="el" href="../../d8/dc8/struct_point.html">Point</a> &a, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> p, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod)</td></tr>
|
||||
<tr class="memdesc:a17f3d667241b88115a95282cdd719cb2"><td class="mdescLeft"> </td><td class="mdescRight">multiply <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> and integer <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">More...</a><br /></td></tr>
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<tr class="separator:a17f3d667241b88115a95282cdd719cb2"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a8800c8a84d77dadadb05ad5e83b77ef4"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a> ()</td></tr>
|
||||
<tr class="memdesc:a8800c8a84d77dadadb05ad5e83b77ef4"><td class="mdescLeft"> </td><td class="mdescRight">Function to test the <a class="el" href="../../db/d9a/classuint128__t.html" title="class for 128-bit unsigned integer">uint128_t</a> header. <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">More...</a><br /></td></tr>
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<tr class="separator:a8800c8a84d77dadadb05ad5e83b77ef4"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:a37775d1724ffe404c088dabbc8da91ae"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a> ()</td></tr>
|
||||
<tr class="memdesc:a37775d1724ffe404c088dabbc8da91ae"><td class="mdescLeft"> </td><td class="mdescRight">Function to test the <a class="el" href="../../d1/d83/classuint256__t.html" title="class for 256-bit unsigned integer">uint256_t</a> header. <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">More...</a><br /></td></tr>
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<tr class="separator:a37775d1724ffe404c088dabbc8da91ae"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
|
||||
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Function to test the provided algorithm above. <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
|
||||
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
|
||||
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
|
||||
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange">Elliptic Curve Diffie Hellman Key Exchange</a>. </p>
|
||||
<p>The ECDH (Elliptic Curve Diffie–Hellman Key Exchange) is anonymous key agreement scheme, which allows two parties, each having an elliptic-curve public–private key pair, to establish a shared secret over an insecure channel. ECDH is very similar to the classical DHKE (Diffie–Hellman Key Exchange) algorithm, but it uses ECC point multiplication instead of modular exponentiations. ECDH is based on the following property of EC points: (a * G) * b = (b * G) * a If we have two secret numbers a and b (two private keys, belonging to Alice and Bob) and an ECC elliptic curve with generator point G, we can exchange over an insecure channel the values (a * G) and (b * G) (the public keys of Alice and Bob) and then we can derive a shared secret: secret = (a * G) * b = (b * G) * a. Pretty simple. The above equation takes the following form: alicePubKey * bobPrivKey = bobPubKey * alicePrivKey = secret </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO">Ashish Daulatabad</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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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 name="l00320"></a><span class="lineno"> 320</span>  {</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <a class="code" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a>(); <span class="comment">// running predefined 128-bit unsigned integer tests</span></div>
|
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a>(); <span class="comment">// running predefined 256-bit unsigned integer tests</span></div>
|
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<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <a class="code" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// running self-test implementations</span></div>
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<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> }</div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a37775d1724ffe404c088dabbc8da91ae"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a></div><div class="ttdeci">static void uint256_t_tests()</div><div class="ttdoc">Function to test the uint256_t header.</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:230</div></div>
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||||
<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a8800c8a84d77dadadb05ad5e83b77ef4"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a></div><div class="ttdeci">static void uint128_t_tests()</div><div class="ttdoc">Function to test the uint128_t header.</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:197</div></div>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to test the provided algorithm above.</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:267</div></div>
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Here is the call graph for this function:</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../df/d2c/elliptic__curve__key__exchange_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="426"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
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<td class="memname">static void test </td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Function to test the provided algorithm above. </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 name="l00267"></a><span class="lineno"> 267</span>  {</div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// demonstration of key exchange using curve secp112r1</span></div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  </div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">// Equation of the form y^2 = (x^3 + ax + b) % P (here p is mod)</span></div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">"4451685225093714772084598273548424"</span>),</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  b(<span class="stringliteral">"2061118396808653202902996166388514"</span>),</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  mod(<span class="stringliteral">"4451685225093714772084598273548427"</span>);</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  </div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="comment">// Generator value: is pre-defined for the given curve</span></div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> ptr = {</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"188281465057972534892223778713752"</span>),</div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"3419875491033170827167861896082688"</span>)};</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  </div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// Shared key generation.</span></div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="comment">// For alice</span></div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"For alice:\n"</span>;</div>
|
||||
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// Alice's private key (can be generated randomly)</span></div>
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||||
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> alice_private_key(<span class="stringliteral">"164330438812053169644452143505618"</span>);</div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> alice_public_key =</div>
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||||
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, alice_private_key, mod);</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPrivate key: "</span> << alice_private_key << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPublic Key: "</span> << alice_public_key << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  </div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="comment">// For Bob</span></div>
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||||
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"For Bob:\n"</span>;</div>
|
||||
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="comment">// Bob's private key (can be generated randomly)</span></div>
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||||
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> bob_private_key(<span class="stringliteral">"1959473333748537081510525763478373"</span>);</div>
|
||||
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> bob_public_key =</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, bob_private_key, mod);</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPrivate key: "</span> << bob_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPublic Key: "</span> << bob_public_key << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  </div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="comment">// After public key exchange, create a shared key for communication.</span></div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="comment">// create shared key:</span></div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <a class="code" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> alice_shared_key = <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  bob_public_key, a,</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  alice_private_key, mod),</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  bob_shared_key = <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  alice_public_key, a,</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  bob_private_key, mod);</div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  </div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Shared keys:\n"</span>;</div>
|
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << alice_shared_key << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << bob_shared_key << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
|
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">// Check whether shared keys are equal</span></div>
|
||||
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  assert(alice_shared_key == bob_shared_key);</div>
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<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> }</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
|
||||
<div class="ttc" id="aclassuint256__t_html"><div class="ttname"><a href="../../d1/d83/classuint256__t.html">uint256_t</a></div><div class="ttdoc">class for 256-bit unsigned integer</div><div class="ttdef"><b>Definition:</b> uint256_t.hpp:33</div></div>
|
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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||||
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_a17f3d667241b88115a95282cdd719cb2"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">ciphers::elliptic_curve_key_exchange::multiply</a></div><div class="ttdeci">Point multiply(const Point &a, const uint256_t &curve_a_coeff, uint256_t p, const uint256_t &mod)</div><div class="ttdoc">multiply Point and integer</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:165</div></div>
|
||||
<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a></div><div class="ttdoc">Definition of struct Point.</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:46</div></div>
|
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../df/d2c/elliptic__curve__key__exchange_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="100%" height="378"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a8800c8a84d77dadadb05ad5e83b77ef4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a8800c8a84d77dadadb05ad5e83b77ef4">◆ </a></span>uint128_t_tests()</h2>
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<td class="memname">static void uint128_t_tests </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<p>Function to test the <a class="el" href="../../db/d9a/classuint128__t.html" title="class for 128-bit unsigned integer">uint128_t</a> header. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  {</div>
|
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="comment">// 1st test: Operations test</span></div>
|
||||
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a> a(<span class="stringliteral">"122"</span>), b(<span class="stringliteral">"2312"</span>);</div>
|
||||
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  assert(a + b == 2434);</div>
|
||||
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  assert(b - a == 2190);</div>
|
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  assert(a * b == 282064);</div>
|
||||
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  assert(b / a == 18);</div>
|
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  assert(b % a == 116);</div>
|
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  assert((a & b) == 8);</div>
|
||||
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  assert((a | b) == 2426);</div>
|
||||
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  assert((a ^ b) == 2418);</div>
|
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  assert((a << 64) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
|
||||
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  assert((b >> 7) == 18);</div>
|
||||
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
|
||||
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="comment">// 2nd test: Operations test</span></div>
|
||||
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  a = <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424232142122"</span>);</div>
|
||||
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  b = <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"23123212"</span>);</div>
|
||||
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  assert(a + b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424255265334"</span>));</div>
|
||||
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  assert(a - b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424209018910"</span>));</div>
|
||||
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  assert(a * b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"284910839733861759501135864"</span>));</div>
|
||||
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  assert(a / b == 532859423865LL);</div>
|
||||
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  assert(a % b == 3887742);</div>
|
||||
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  assert((a & b) == 18912520);</div>
|
||||
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  assert((a | b) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424236352814"</span>));</div>
|
||||
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  assert((a ^ b) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"12321421424217440294"</span>));</div>
|
||||
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  assert((a << 64) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"227290107637132170748078080907806769152"</span>));</div>
|
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> }</div>
|
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<div class="ttc" id="aclassuint128__t_html"><div class="ttname"><a href="../../db/d9a/classuint128__t.html">uint128_t</a></div><div class="ttdoc">class for 128-bit unsigned integer</div><div class="ttdef"><b>Definition:</b> uint128_t.hpp:59</div></div>
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<a id="a37775d1724ffe404c088dabbc8da91ae"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a37775d1724ffe404c088dabbc8da91ae">◆ </a></span>uint256_t_tests()</h2>
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<td class="memname">static void uint256_t_tests </td>
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<td>(</td>
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||||
<td class="paramname"></td><td>)</td>
|
||||
<td></td>
|
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Function to test the <a class="el" href="../../d1/d83/classuint256__t.html" title="class for 256-bit unsigned integer">uint256_t</a> header. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  {</div>
|
||||
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">// 1st test: Operations test</span></div>
|
||||
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">"122"</span>), b(<span class="stringliteral">"2312"</span>);</div>
|
||||
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  assert(a + b == 2434);</div>
|
||||
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  assert(b - a == 2190);</div>
|
||||
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  assert(a * b == 282064);</div>
|
||||
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  assert(b / a == 18);</div>
|
||||
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  assert(b % a == 116);</div>
|
||||
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  assert((a & b) == 8);</div>
|
||||
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  assert((a | b) == 2426);</div>
|
||||
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  assert((a ^ b) == 2418);</div>
|
||||
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  assert((a << 64) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
|
||||
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  assert((b >> 7) == 18);</div>
|
||||
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  </div>
|
||||
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// 2nd test: Operations test</span></div>
|
||||
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  a = <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"12321423124513251424232142122"</span>);</div>
|
||||
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  b = <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312431243243215354315132413213212"</span>);</div>
|
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  assert(a + b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564666339867566556645355334"</span>));</div>
|
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// Since a < b, the value is greater</span></div>
|
||||
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  assert(a - b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"115792089237316195423570985008687907853246860353"</span></div>
|
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="stringliteral">"221642219366742944204948568846"</span>));</div>
|
||||
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  assert(a * b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"284924437928789743312147393953938013677909398222"</span></div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="stringliteral">"169728183872115864"</span>));</div>
|
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  assert(b / a == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"1876756621"</span>));</div>
|
||||
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  assert(b % a == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"2170491202688962563936723450"</span>));</div>
|
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  assert((a & b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"3553901085693256462344"</span>));</div>
|
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  assert((a | b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564662785966480863388892990"</span>));</div>
|
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  assert((a ^ b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"23124312443564659232065395170132430646"</span>));</div>
|
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  assert((a << 128) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"4192763024643754272961909047609369343091683"</span></div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="stringliteral">"376561852756163540549632"</span>));</div>
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> }</div>
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<a href="#nested-classes">Classes</a> |
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<a href="#typedef-members">Typedefs</a> |
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<a href="#func-members">Functions</a> </div>
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<div class="title">ciphers::elliptic_curve_key_exchange Namespace Reference</div> </div>
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<p>namespace <a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a>
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<a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a></td></tr>
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||||
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#details">More...</a><br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
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Typedefs</h2></td></tr>
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<tr class="memitem:af0a6e3521629c25c2b5d620f26429830"><td class="memItemLeft" align="right" valign="top">typedef struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">Point</a></td></tr>
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||||
<tr class="memdesc:af0a6e3521629c25c2b5d620f26429830"><td class="mdescLeft"> </td><td class="mdescRight">Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">More...</a><br /></td></tr>
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<tr class="separator:af0a6e3521629c25c2b5d620f26429830"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a> (<a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> number, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="el" href="../../d7/d35/matrix__exponentiation_8cpp.html#a5769b745458157ef2679949155684f3b">power</a>, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod)</td></tr>
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||||
<tr class="memdesc:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="mdescLeft"> </td><td class="mdescRight">This function calculates number raised to exponent power under modulo mod using <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp">Modular Exponentiation</a>. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">More...</a><br /></td></tr>
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<tr class="separator:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a> (<a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> a, <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> b, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> mod)</td></tr>
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<tr class="memdesc:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="mdescLeft"> </td><td class="mdescRight">Addition of points. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">More...</a><br /></td></tr>
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<tr class="separator:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a17f3d667241b88115a95282cdd719cb2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a> (const <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &a, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> p, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod)</td></tr>
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<tr class="memdesc:a17f3d667241b88115a95282cdd719cb2"><td class="mdescLeft"> </td><td class="mdescRight">multiply <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> and integer <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">More...</a><br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||||
<div class="textblock"><p>namespace <a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a> </p>
|
||||
<p>Demonstration of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange">Elliptic Curve Diffie-Hellman</a> key exchange. </p>
|
||||
</div><h2 class="groupheader">Typedef Documentation</h2>
|
||||
<a id="af0a6e3521629c25c2b5d620f26429830"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#af0a6e3521629c25c2b5d620f26429830">◆ </a></span>Point</h2>
|
||||
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||||
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||||
<div class="memproto">
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||||
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<td class="memname">typedef struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a></td>
|
||||
</tr>
|
||||
</table>
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||||
</div><div class="memdoc">
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||||
|
||||
<p>Definition of struct <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a>. </p>
|
||||
<p>Definition of <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> in the curve. </p>
|
||||
|
||||
</div>
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||||
</div>
|
||||
<h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="acc5fe9c2032fb7582c38a20d1fa69bcf"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#acc5fe9c2032fb7582c38a20d1fa69bcf">◆ </a></span>addition()</h2>
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||||
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||||
<div class="memitem">
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<div class="memproto">
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<table class="memname">
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||||
<tr>
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<td class="memname"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> ciphers::elliptic_curve_key_exchange::addition </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> </td>
|
||||
<td class="paramname"><em>a</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> </td>
|
||||
<td class="paramname"><em>b</em>, </td>
|
||||
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|
||||
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|
||||
<td class="paramkey"></td>
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||||
<td></td>
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||||
<td class="paramtype">const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> & </td>
|
||||
<td class="paramname"><em>curve_a_coeff</em>, </td>
|
||||
</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td>
|
||||
<td class="paramname"><em>mod</em> </td>
|
||||
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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||||
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||||
<p>Addition of points. </p>
|
||||
<p>Add given point to generate third point. More description can be found <a href="https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Point_addition">here</a>, and <a href="https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Point_doubling">here</a> </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td>First point </td></tr>
|
||||
<tr><td class="paramname">b</td><td>Second point </td></tr>
|
||||
<tr><td class="paramname">curve_a_coeff</td><td>Coefficient <code>a</code> of the given curve (y^2 = x^3 + ax + b) % mod </td></tr>
|
||||
<tr><td class="paramname">mod</td><td>Given field </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>the resultant point </dd></dl>
|
||||
<p>Slope</p>
|
||||
<p>value zero</p>
|
||||
<p>slope when the line is tangent to curve. This operation is performed while doubling. Taking derivative of <code>y^2 = x^3 + ax + b</code> => <code>2y dy = (3 * x^2 + a)dx</code> => <code>(dy/dx) = (3x^2 + a)/(2y)</code></p>
|
||||
<p>if y co-ordinate is zero, the slope is infinite, return inf. else calculate the slope (here % mod and store in lambda)</p>
|
||||
<div class="fragment"><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  {</div>
|
||||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> lambda(0); <span class="comment">/// Slope</span></div>
|
||||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> zero(0); <span class="comment">/// value zero</span></div>
|
||||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  lambda = zero = 0;</div>
|
||||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf = ~zero;</div>
|
||||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">if</span> (a.x != b.x || a.y != b.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a>) {</div>
|
||||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// Slope being infinite.</span></div>
|
||||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keywordflow">if</span> (b.x == a.x) {</div>
|
||||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> {inf, inf};</div>
|
||||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
|
||||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> num = (b.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> - a.y + mod), den = (b.x - a.x + mod);</div>
|
||||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  lambda = (num * (<a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(den, mod - 2, mod))) % mod;</div>
|
||||
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  } <span class="keywordflow">else</span> {<span class="comment"></span></div>
|
||||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> /**</span></div>
|
||||
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> * slope when the line is tangent to curve. This operation is performed</span></div>
|
||||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> * while doubling. Taking derivative of `y^2 = x^3 + ax + b`</span></div>
|
||||
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> * => `2y dy = (3 * x^2 + a)dx`</span></div>
|
||||
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> * => `(dy/dx) = (3x^2 + a)/(2y)`</span></div>
|
||||
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> */</span><span class="comment"></span></div>
|
||||
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> /**</span></div>
|
||||
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * if y co-ordinate is zero, the slope is infinite, return inf.</span></div>
|
||||
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> * else calculate the slope (here % mod and store in lambda)</span></div>
|
||||
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> */</span></div>
|
||||
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> (!a.y) {</div>
|
||||
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">return</span> {inf, inf};</div>
|
||||
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  }</div>
|
||||
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> axsq = ((a.x * a.x)) % mod;</div>
|
||||
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// Mulitply by 3 adjustment</span></div>
|
||||
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  axsq += (axsq << 1);</div>
|
||||
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  axsq %= mod;</div>
|
||||
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">// Mulitply by 2 adjustment</span></div>
|
||||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> a_2 = (a.y << 1);</div>
|
||||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  lambda =</div>
|
||||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  (((axsq + curve_a_coeff) % mod) * <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(a_2, mod - 2, mod)) % mod;</div>
|
||||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
|
||||
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="code" href="../../d8/dc8/struct_point.html">Point</a> c;</div>
|
||||
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="comment">// new point: x = ((lambda^2) - x1 - x2)</span></div>
|
||||
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="comment">// y = (lambda * (x1 - x)) - y1</span></div>
|
||||
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  c.x = ((lambda * lambda) % mod + (mod << 1) - a.x - b.x) % mod;</div>
|
||||
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  c.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> = (((lambda * (a.x + mod - c.x)) % mod) + mod - a.y) % mod;</div>
|
||||
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">return</span> c;</div>
|
||||
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> }</div>
|
||||
<div class="ttc" id="aclassuint256__t_html"><div class="ttname"><a href="../../d1/d83/classuint256__t.html">uint256_t</a></div><div class="ttdoc">class for 256-bit unsigned integer</div><div class="ttdef"><b>Definition:</b> uint256_t.hpp:33</div></div>
|
||||
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_ac00616a4e40d3cd5cfb4da87d9ff9af0"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">ciphers::elliptic_curve_key_exchange::exp</a></div><div class="ttdeci">uint256_t exp(uint256_t number, uint256_t power, const uint256_t &mod)</div><div class="ttdoc">This function calculates number raised to exponent power under modulo mod using Modular Exponentiatio...</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:78</div></div>
|
||||
<div class="ttc" id="astruct_point_html"><div class="ttname"><a href="../../d8/dc8/struct_point.html">Point</a></div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:12</div></div>
|
||||
<div class="ttc" id="astruct_point_html_a2e1b5fb2b2a83571f5c0bc0f66a73cf7"><div class="ttname"><a href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">Point::y</a></div><div class="ttdeci">int y</div><div class="ttdoc">Point respect to x coordinate.</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:14</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
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||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange_acc5fe9c2032fb7582c38a20d1fa69bcf_cgraph.svg" width="464" height="52"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
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||||
</div>
|
||||
|
||||
</div>
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||||
</div>
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<a id="ac00616a4e40d3cd5cfb4da87d9ff9af0"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#ac00616a4e40d3cd5cfb4da87d9ff9af0">◆ </a></span>exp()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
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||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> ciphers::elliptic_curve_key_exchange::exp </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td>
|
||||
<td class="paramname"><em>number</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td>
|
||||
<td class="paramname"><em>power</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> & </td>
|
||||
<td class="paramname"><em>mod</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
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||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>This function calculates number raised to exponent power under modulo mod using <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp">Modular Exponentiation</a>. </p>
|
||||
<dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">number</td><td>integer base </td></tr>
|
||||
<tr><td class="paramname">power</td><td>unsigned integer exponent </td></tr>
|
||||
<tr><td class="paramname">mod</td><td>integer modulo </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>number raised to power modulo mod </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
|
||||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">if</span> (!power) {</div>
|
||||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(1);</div>
|
||||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
|
||||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>(1);</div>
|
||||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  number = number % mod;</div>
|
||||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">while</span> (power) {</div>
|
||||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> ((power & 1)) {</div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = (<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> * number) % mod;</div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  }</div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">power</a> >>= 1;</div>
|
||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">if</span> (power) {</div>
|
||||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  number = (number * number) % mod;</div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
|
||||
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> }</div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_a7cf5feaf168b88e74544da59ed830311"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#a7cf5feaf168b88e74544da59ed830311">math::fibonacci_sum::power</a></div><div class="ttdeci">math::fibonacci_sum::matrix power(math::fibonacci_sum::matrix T, uint64_t ex)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:57</div></div>
|
||||
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange_ac00616a4e40d3cd5cfb4da87d9ff9af0_cgraph.svg" width="250" height="52"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<a id="a17f3d667241b88115a95282cdd719cb2"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#a17f3d667241b88115a95282cdd719cb2">◆ </a></span>multiply()</h2>
|
||||
|
||||
<div class="memitem">
|
||||
<div class="memproto">
|
||||
<table class="memname">
|
||||
<tr>
|
||||
<td class="memname"><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> ciphers::elliptic_curve_key_exchange::multiply </td>
|
||||
<td>(</td>
|
||||
<td class="paramtype">const <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> & </td>
|
||||
<td class="paramname"><em>a</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> & </td>
|
||||
<td class="paramname"><em>curve_a_coeff</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> </td>
|
||||
<td class="paramname"><em>p</em>, </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td class="paramkey"></td>
|
||||
<td></td>
|
||||
<td class="paramtype">const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> & </td>
|
||||
<td class="paramname"><em>mod</em> </td>
|
||||
</tr>
|
||||
<tr>
|
||||
<td></td>
|
||||
<td>)</td>
|
||||
<td></td><td></td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
|
||||
<p>multiply <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> and integer </p>
|
||||
<p>Multiply <a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> by a scalar factor (here it is a private key p). The multiplication is called as <a href="https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Double-and-add">double and add method</a> </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramname">a</td><td><a class="el" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> to multiply </td></tr>
|
||||
<tr><td class="paramname">curve_a_coeff</td><td>Coefficient of given curve (y^2 = x^3 + ax + b) % mod </td></tr>
|
||||
<tr><td class="paramname">p</td><td>The scalar value </td></tr>
|
||||
<tr><td class="paramname">mod</td><td>Given field </td></tr>
|
||||
</table>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>the resultant point </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  {</div>
|
||||
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <a class="code" href="../../d8/dc8/struct_point.html">Point</a> <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = a;</div>
|
||||
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>.x %= mod;</div>
|
||||
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>.y %= mod;</div>
|
||||
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf{};</div>
|
||||
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  inf = ~<a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(0);</div>
|
||||
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="../../d8/dc8/struct_point.html">Point</a> Q = {inf, inf};</div>
|
||||
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">while</span> (p) {</div>
|
||||
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keywordflow">if</span> ((p & 1)) {</div>
|
||||
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keywordflow">if</span> (Q.x == inf && Q.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> == inf) {</div>
|
||||
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  Q.x = <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>.x;</div>
|
||||
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  Q.<a class="code" href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">y</a> = <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>.y;</div>
|
||||
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  Q = <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(Q, N, curve_a_coeff, mod);</div>
|
||||
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  }</div>
|
||||
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div>
|
||||
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  p >>= 1;</div>
|
||||
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordflow">if</span> (p) {</div>
|
||||
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(N, N, curve_a_coeff, mod);</div>
|
||||
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  }</div>
|
||||
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  }</div>
|
||||
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> Q;</div>
|
||||
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> }</div>
|
||||
<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:47</div></div>
|
||||
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_acc5fe9c2032fb7582c38a20d1fa69bcf"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">ciphers::elliptic_curve_key_exchange::addition</a></div><div class="ttdeci">Point addition(Point a, Point b, const uint256_t &curve_a_coeff, uint256_t mod)</div><div class="ttdoc">Addition of points.</div><div class="ttdef"><b>Definition:</b> elliptic_curve_key_exchange.cpp:110</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange_a17f3d667241b88115a95282cdd719cb2_cgraph.svg" width="100%" height="300"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
</div><!-- doc-content -->
|
||||
<!-- start footer part -->
|
||||
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||||
<ul>
|
||||
<li class="navelem"><a class="el" href="../../d6/d4e/namespaceciphers.html">ciphers</a></li><li class="navelem"><a class="el" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html">elliptic_curve_key_exchange</a></li>
|
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
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|
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</body>
|
||||
</html>
|
||||
@@ -0,0 +1,8 @@
|
||||
var namespaceciphers_1_1elliptic__curve__key__exchange =
|
||||
[
|
||||
[ "Point", "d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html", "d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point" ],
|
||||
[ "Point", "df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830", null ],
|
||||
[ "addition", "df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf", null ],
|
||||
[ "exp", "df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0", null ],
|
||||
[ "multiply", "df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2", null ]
|
||||
];
|
||||
@@ -0,0 +1,6 @@
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<area shape="rect" id="node1" title="multiply Point and integer" alt="" coords="5,5,172,47"/>
|
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<area shape="rect" id="node2" href="$df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf" title="Addition of points." alt="" coords="220,5,387,47"/>
|
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</map>
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@@ -0,0 +1 @@
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2b44289b85250adc41ffb33354832b4c
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<hr/>The documentation for this struct was generated from the following file:<ul>
|
||||
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