backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-05-12 11:37:18 +08:00
Code Issues Projects Releases Wiki Activity

Documentation for 341ed50da8

Browse Source
This commit is contained in:
github-actions
2021-09-03 19:56:17 +00:00
parent 52d0c55145
commit 08e8eb037e
3432 changed files with 71392 additions and 72953 deletions
Download Patch File Download Diff File Expand all files Collapse all files

287
df/d2c/elliptic__curve__key__exchange_8cpp.html
View File

@@ -2,8 +2,8 @@
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.1"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.9.2"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Algorithms_in_C++: ciphers/elliptic_curve_key_exchange.cpp File Reference</title>
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
@@ -17,9 +17,9 @@
<script type="text/javascript" src="../../search/searchdata.js"></script>
<script type="text/javascript" src="../../search/search.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
jax: ["input/TeX","output/HTML-CSS"],
MathJax.Hub.Config({
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
jax: ["input/TeX","output/HTML-CSS"],
});
</script>
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
@@ -32,8 +32,7 @@
<tbody>
<tr style="height: 56px;">
<td id="projectalign" style="padding-left: 0.5em;">
<div id="projectname">Algorithms_in_C++
&#160;<span id="projectnumber">1.0.0</span>
<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
</div>
<div id="projectbrief">Set of algorithms implemented in C++.</div>
</td>
@@ -42,21 +41,22 @@
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.1 -->
<!-- Generated by Doxygen 1.9.2 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "../../search",false,'Search','.html');
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search",'Search','.html');
/* @license-end */
</script>
<script type="text/javascript" src="../../menudata.js"></script>
<script type="text/javascript" src="../../menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() {
initMenu('../../',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */</script>
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
@@ -70,7 +70,7 @@ $(function() {
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(document).ready(function(){initNavTree('df/d2c/elliptic__curve__key__exchange_8cpp.html','../../'); initResizable(); });
/* @license-end */
</script>
@@ -95,12 +95,11 @@ $(document).ready(function(){initNavTree('df/d2c/elliptic__curve__key__exchange_
<a href="#namespaces">Namespaces</a> &#124;
<a href="#typedef-members">Typedefs</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">elliptic_curve_key_exchange.cpp File Reference</div> </div>
<div class="headertitle"><div class="title">elliptic_curve_key_exchange.cpp File Reference</div></div>
</div><!--header-->
<div class="contents">
<p>Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange">Elliptic Curve Diffie Hellman Key Exchange</a>.
<p>Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange" target="_blank">Elliptic Curve Diffie Hellman Key Exchange</a>.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
@@ -112,31 +111,31 @@ Include dependency graph for elliptic_curve_key_exchange.cpp:</div>
</div>
</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</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>
<tr class="memdesc:"><td class="mdescLeft">&#160;</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>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:d6/d4e/namespaceciphers"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4e/namespaceciphers.html">ciphers</a></td></tr>
<tr class="memdesc:d6/d4e/namespaceciphers"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Base64">Base64 Encoding and Decoding</a> <br /></td></tr>
<tr class="memitem:d6/d4e/namespaceciphers"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4e/namespaceciphers.html">ciphers</a></td></tr>
<tr class="memdesc:d6/d4e/namespaceciphers"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/Base64" target="_blank">Base64 Encoding and Decoding</a> <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange"><td class="memItemLeft" align="right" valign="top"> &#160;</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>
<tr class="memitem:df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange"><td class="memItemLeft" align="right" valign="top">namespace &#160;</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>
<tr class="memdesc:df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange"><td class="mdescLeft">&#160;</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>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="typedef-members" name="typedef-members"></a>
Typedefs</h2></td></tr>
<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>&#160;</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">&#160;</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>
<tr class="separator:af0a6e3521629c25c2b5d620f26429830"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a>&#160;</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> &amp;mod)</td></tr>
<tr class="memdesc:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="mdescLeft">&#160;</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>
<tr class="memitem:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a>&#160;</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#a702a9fc90e79b05b863cc4efa26ae2ec">power</a>, const <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> &amp;mod)</td></tr>
<tr class="memdesc:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="mdescLeft">&#160;</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" target="_blank">Modular Exponentiation</a>. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">More...</a><br /></td></tr>
<tr class="separator:ac00616a4e40d3cd5cfb4da87d9ff9af0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d8/dc8/struct_point.html">Point</a>&#160;</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> &amp;curve_a_coeff, <a class="el" href="../../d1/d83/classuint256__t.html">uint256_t</a> mod)</td></tr>
<tr class="memdesc:acc5fe9c2032fb7582c38a20d1fa69bcf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Addition of points. <a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">More...</a><br /></td></tr>
@@ -158,10 +157,10 @@ Functions</h2></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</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>
<div class="textblock"><p >Implementation of <a href="https://cryptobook.nakov.com/asymmetric-key-ciphers/ecdh-key-exchange" target="_blank">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" target="_blank">Ashish Daulatabad</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
<div class="memitem">
@@ -179,12 +178,12 @@ Functions</h2></td></tr>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160; {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <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>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; <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>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; <a class="code" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// running self-test implementations</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;}</div>
<div class="fragment"><div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> {</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <a class="code hl_function" 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>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <a class="code hl_function" 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>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// running self-test implementations</span></div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span>}</div>
<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>
<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>
<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>
@@ -197,7 +196,7 @@ Here is the call graph for this function:</div>
</div>
</div>
<a id="aa8dca7b867074164d5f45b0f3851269d"></a>
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
<div class="memitem">
@@ -222,54 +221,54 @@ Here is the call graph for this function:</div>
<p>Function to test the provided algorithm above. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; {</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; <span class="comment">// demonstration of key exchange using curve secp112r1</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="comment">// Equation of the form y^2 = (x^3 + ax + b) % P (here p is mod)</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">&quot;4451685225093714772084598273548424&quot;</span>),</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; b(<span class="stringliteral">&quot;2061118396808653202902996166388514&quot;</span>),</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; mod(<span class="stringliteral">&quot;4451685225093714772084598273548427&quot;</span>);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; <span class="comment">// Generator value: is pre-defined for the given curve</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <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>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;188281465057972534892223778713752&quot;</span>),</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;3419875491033170827167861896082688&quot;</span>)};</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; <span class="comment">// Shared key generation.</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; <span class="comment">// For alice</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;For alice:\n&quot;</span>;</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="comment">// Alice&#39;s private key (can be generated randomly)</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> alice_private_key(<span class="stringliteral">&quot;164330438812053169644452143505618&quot;</span>);</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160; <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>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, alice_private_key, mod);</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPrivate key: &quot;</span> &lt;&lt; alice_private_key &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPublic Key: &quot;</span> &lt;&lt; alice_public_key &lt;&lt; <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="l00289"></a><span class="lineno"> 289</span>&#160; </div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; <span class="comment">// For Bob</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;For Bob:\n&quot;</span>;</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; <span class="comment">// Bob&#39;s private key (can be generated randomly)</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> bob_private_key(<span class="stringliteral">&quot;1959473333748537081510525763478373&quot;</span>);</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; <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>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, bob_private_key, mod);</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPrivate key: &quot;</span> &lt;&lt; bob_private_key &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPublic Key: &quot;</span> &lt;&lt; bob_public_key &lt;&lt; <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="l00298"></a><span class="lineno"> 298</span>&#160; </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; <span class="comment">// After public key exchange, create a shared key for communication.</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="comment">// create shared key:</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; <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>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160; bob_public_key, a,</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; alice_private_key, mod),</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; bob_shared_key = <a class="code" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; alice_public_key, a,</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; bob_private_key, mod);</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Shared keys:\n&quot;</span>;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; alice_shared_key &lt;&lt; <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="l00310"></a><span class="lineno"> 310</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; bob_shared_key &lt;&lt; <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>&#160; </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; <span class="comment">// Check whether shared keys are equal</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; assert(alice_shared_key == bob_shared_key);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;}</div>
<div class="fragment"><div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> {</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// demonstration of key exchange using curve secp112r1</span></div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
<div class="line"><a id="l00270" 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>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">&quot;4451685225093714772084598273548424&quot;</span>),</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> b(<span class="stringliteral">&quot;2061118396808653202902996166388514&quot;</span>),</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> mod(<span class="stringliteral">&quot;4451685225093714772084598273548427&quot;</span>);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="comment">// Generator value: is pre-defined for the given curve</span></div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> ptr = {</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;188281465057972534892223778713752&quot;</span>),</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;3419875491033170827167861896082688&quot;</span>)};</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="comment">// Shared key generation.</span></div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="comment">// For alice</span></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;For alice:\n&quot;</span>;</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// Alice&#39;s private key (can be generated randomly)</span></div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> alice_private_key(<span class="stringliteral">&quot;164330438812053169644452143505618&quot;</span>);</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> alice_public_key =</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, alice_private_key, mod);</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPrivate key: &quot;</span> &lt;&lt; alice_private_key &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPublic Key: &quot;</span> &lt;&lt; alice_public_key &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// For Bob</span></div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;For Bob:\n&quot;</span>;</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// Bob&#39;s private key (can be generated randomly)</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> bob_private_key(<span class="stringliteral">&quot;1959473333748537081510525763478373&quot;</span>);</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">ciphers::elliptic_curve_key_exchange::Point</a> bob_public_key =</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(ptr, a, bob_private_key, mod);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPrivate key: &quot;</span> &lt;&lt; bob_private_key &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPublic Key: &quot;</span> &lt;&lt; bob_public_key &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="comment">// After public key exchange, create a shared key for communication.</span></div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// create shared key:</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <a class="code hl_struct" 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 hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> bob_public_key, a,</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> alice_private_key, mod),</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> bob_shared_key = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> alice_public_key, a,</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> bob_private_key, mod);</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> </div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Shared keys:\n&quot;</span>;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; alice_shared_key &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; bob_shared_key &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="comment">// Check whether shared keys are equal</span></div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> assert(alice_shared_key == bob_shared_key);</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span>}</div>
<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>
<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>
@@ -284,7 +283,7 @@ Here is the call graph for this function:</div>
</div>
</div>
<a id="a8800c8a84d77dadadb05ad5e83b77ef4"></a>
<a id="a8800c8a84d77dadadb05ad5e83b77ef4" name="a8800c8a84d77dadadb05ad5e83b77ef4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8800c8a84d77dadadb05ad5e83b77ef4">&#9670;&nbsp;</a></span>uint128_t_tests()</h2>
<div class="memitem">
@@ -309,38 +308,38 @@ Here is the call graph for this function:</div>
<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>&#160; {</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="comment">// 1st test: Operations test</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a> a(<span class="stringliteral">&quot;122&quot;</span>), b(<span class="stringliteral">&quot;2312&quot;</span>);</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; assert(a + b == 2434);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; assert(b - a == 2190);</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; assert(a * b == 282064);</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; assert(b / a == 18);</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; assert(b % a == 116);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; assert((a &amp; b) == 8);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; assert((a | b) == 2426);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; assert((a ^ b) == 2418);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; assert((a &lt;&lt; 64) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;2250502776992565297152&quot;</span>));</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; assert((b &gt;&gt; 7) == 18);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="comment">// 2nd test: Operations test</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; a = <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424232142122&quot;</span>);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; b = <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;23123212&quot;</span>);</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; assert(a + b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424255265334&quot;</span>));</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; assert(a - b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424209018910&quot;</span>));</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; assert(a * b == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;284910839733861759501135864&quot;</span>));</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; assert(a / b == 532859423865LL);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; assert(a % b == 3887742);</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; assert((a &amp; b) == 18912520);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; assert((a | b) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424236352814&quot;</span>));</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; assert((a ^ b) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424217440294&quot;</span>));</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; assert((a &lt;&lt; 64) == <a class="code" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;227290107637132170748078080907806769152&quot;</span>));</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;}</div>
<div class="fragment"><div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> {</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// 1st test: Operations test</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a> a(<span class="stringliteral">&quot;122&quot;</span>), b(<span class="stringliteral">&quot;2312&quot;</span>);</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> assert(a + b == 2434);</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> assert(b - a == 2190);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> assert(a * b == 282064);</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> assert(b / a == 18);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> assert(b % a == 116);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> assert((a &amp; b) == 8);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> assert((a | b) == 2426);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> assert((a ^ b) == 2418);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> assert((a &lt;&lt; 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;2250502776992565297152&quot;</span>));</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> assert((b &gt;&gt; 7) == 18);</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// 2nd test: Operations test</span></div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> a = <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424232142122&quot;</span>);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> b = <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;23123212&quot;</span>);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> assert(a + b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424255265334&quot;</span>));</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> assert(a - b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424209018910&quot;</span>));</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> assert(a * b == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;284910839733861759501135864&quot;</span>));</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> assert(a / b == 532859423865LL);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> assert(a % b == 3887742);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> assert((a &amp; b) == 18912520);</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> assert((a | b) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424236352814&quot;</span>));</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> assert((a ^ b) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;12321421424217440294&quot;</span>));</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> assert((a &lt;&lt; 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">&quot;227290107637132170748078080907806769152&quot;</span>));</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span>}</div>
<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>
</div><!-- fragment -->
</div>
</div>
<a id="a37775d1724ffe404c088dabbc8da91ae"></a>
<a id="a37775d1724ffe404c088dabbc8da91ae" name="a37775d1724ffe404c088dabbc8da91ae"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a37775d1724ffe404c088dabbc8da91ae">&#9670;&nbsp;</a></span>uint256_t_tests()</h2>
<div class="memitem">
@@ -365,37 +364,37 @@ Here is the call graph for this function:</div>
<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>&#160; {</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; <span class="comment">// 1st test: Operations test</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">&quot;122&quot;</span>), b(<span class="stringliteral">&quot;2312&quot;</span>);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; assert(a + b == 2434);</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; assert(b - a == 2190);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; assert(a * b == 282064);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; assert(b / a == 18);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; assert(b % a == 116);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; assert((a &amp; b) == 8);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; assert((a | b) == 2426);</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; assert((a ^ b) == 2418);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; assert((a &lt;&lt; 64) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;2250502776992565297152&quot;</span>));</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; assert((b &gt;&gt; 7) == 18);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160; <span class="comment">// 2nd test: Operations test</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; a = <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;12321423124513251424232142122&quot;</span>);</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; b = <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312431243243215354315132413213212&quot;</span>);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160; assert(a + b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564666339867566556645355334&quot;</span>));</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// Since a &lt; b, the value is greater</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; assert(a - b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;115792089237316195423570985008687907853246860353&quot;</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160; <span class="stringliteral">&quot;221642219366742944204948568846&quot;</span>));</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; assert(a * b == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;284924437928789743312147393953938013677909398222&quot;</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; <span class="stringliteral">&quot;169728183872115864&quot;</span>));</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; assert(b / a == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;1876756621&quot;</span>));</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; assert(b % a == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;2170491202688962563936723450&quot;</span>));</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; assert((a &amp; b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;3553901085693256462344&quot;</span>));</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; assert((a | b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564662785966480863388892990&quot;</span>));</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; assert((a ^ b) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564659232065395170132430646&quot;</span>));</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; assert((a &lt;&lt; 128) == <a class="code" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;4192763024643754272961909047609369343091683&quot;</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="stringliteral">&quot;376561852756163540549632&quot;</span>));</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;}</div>
<div class="fragment"><div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> {</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// 1st test: Operations test</span></div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a(<span class="stringliteral">&quot;122&quot;</span>), b(<span class="stringliteral">&quot;2312&quot;</span>);</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> assert(a + b == 2434);</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> assert(b - a == 2190);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> assert(a * b == 282064);</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> assert(b / a == 18);</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> assert(b % a == 116);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> assert((a &amp; b) == 8);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> assert((a | b) == 2426);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> assert((a ^ b) == 2418);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> assert((a &lt;&lt; 64) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;2250502776992565297152&quot;</span>));</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> assert((b &gt;&gt; 7) == 18);</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="comment">// 2nd test: Operations test</span></div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> a = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;12321423124513251424232142122&quot;</span>);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> b = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312431243243215354315132413213212&quot;</span>);</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> assert(a + b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564666339867566556645355334&quot;</span>));</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// Since a &lt; b, the value is greater</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> assert(a - b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;115792089237316195423570985008687907853246860353&quot;</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="stringliteral">&quot;221642219366742944204948568846&quot;</span>));</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> assert(a * b == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;284924437928789743312147393953938013677909398222&quot;</span></div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">&quot;169728183872115864&quot;</span>));</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> assert(b / a == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;1876756621&quot;</span>));</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> assert(b % a == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;2170491202688962563936723450&quot;</span>));</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> assert((a &amp; b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;3553901085693256462344&quot;</span>));</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> assert((a | b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564662785966480863388892990&quot;</span>));</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> assert((a ^ b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;23124312443564659232065395170132430646&quot;</span>));</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> assert((a &lt;&lt; 128) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">&quot;4192763024643754272961909047609369343091683&quot;</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="stringliteral">&quot;376561852756163540549632&quot;</span>));</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>}</div>
</div><!-- fragment -->
</div>
</div>
@@ -405,7 +404,7 @@ Here is the call graph for this function:</div>
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../dir_4d6e05837bf820fb089a8a8cdf2f42b7.html">ciphers</a></li><li class="navelem"><a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html">elliptic_curve_key_exchange.cpp</a></li>
<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>
<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> 1.9.2 </li>
</ul>
</div>
</body>