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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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@@ -123,7 +140,9 @@ Include dependency graph for elliptic_curve_key_exchange.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d83/elliptic__curve__key__exchange_8cpp__incl.svg" width="547" height="272"><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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<p><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" 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">ciphers::elliptic_curve_key_exchange::Point</a></td></tr>
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@@ -172,6 +191,8 @@ Functions</h2></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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||||
<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>
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<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>
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<p class="definition">Definition in file <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">elliptic_curve_key_exchange.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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@@ -190,21 +211,18 @@ Functions</h2></td></tr>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00320">320</a> of file <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">elliptic_curve_key_exchange.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 320</span> {</div>
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<div class="line"><span class="lineno"> 321</span> <a class="code hl_function" href="#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a>(); <span class="comment">// running predefined 128-bit unsigned integer tests</span></div>
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<div class="line"><span class="lineno"> 322</span> <a class="code hl_function" href="#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a>(); <span class="comment">// running predefined 256-bit unsigned integer tests</span></div>
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<div class="line"><span class="lineno"> 323</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// running self-test implementations</span></div>
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<div class="line"><span class="lineno"> 324</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><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="#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="#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="#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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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../df/d2c/elliptic__curve__key__exchange_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="338" height="159"><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>
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<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a37775d1724ffe404c088dabbc8da91ae"><div class="ttname"><a href="#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> <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00230">elliptic_curve_key_exchange.cpp:230</a></div></div>
|
||||
<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_a8800c8a84d77dadadb05ad5e83b77ef4"><div class="ttname"><a href="#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> <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00197">elliptic_curve_key_exchange.cpp:197</a></div></div>
|
||||
<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#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> <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00267">elliptic_curve_key_exchange.cpp:267</a></div></div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
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@@ -232,6 +250,8 @@ Here is the call graph for this function:</div>
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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>
|
||||
|
||||
<p class="definition">Definition at line <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00267">267</a> of file <a class="el" href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html">elliptic_curve_key_exchange.cpp</a>.</p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 267</span> {</div>
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<div class="line"><span class="lineno"> 268</span> <span class="comment">// demonstration of key exchange using curve secp112r1</span></div>
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<div class="line"><span class="lineno"> 269</span> </div>
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@@ -247,22 +267,22 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 279</span> </div>
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||||
<div class="line"><span class="lineno"> 280</span> <span class="comment">// Shared key generation.</span></div>
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<div class="line"><span class="lineno"> 281</span> <span class="comment">// For alice</span></div>
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<div class="line"><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> << <span class="stringliteral">"For alice:\n"</span>;</div>
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<div class="line"><span class="lineno"> 282</span> std::cout << <span class="stringliteral">"For alice:\n"</span>;</div>
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<div class="line"><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"><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">"164330438812053169644452143505618"</span>);</div>
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||||
<div class="line"><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>
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||||
<div class="line"><span class="lineno"> 286</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, alice_private_key, mod);</div>
|
||||
<div class="line"><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> << <span class="stringliteral">"\tPrivate key: "</span> << alice_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><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> << <span class="stringliteral">"\tPublic Key: "</span> << alice_public_key << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 287</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << alice_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 288</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << alice_public_key << std::endl;</div>
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<div class="line"><span class="lineno"> 289</span> </div>
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<div class="line"><span class="lineno"> 290</span> <span class="comment">// For Bob</span></div>
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<div class="line"><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> << <span class="stringliteral">"For Bob:\n"</span>;</div>
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<div class="line"><span class="lineno"> 291</span> std::cout << <span class="stringliteral">"For Bob:\n"</span>;</div>
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<div class="line"><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"><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">"1959473333748537081510525763478373"</span>);</div>
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||||
<div class="line"><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>
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||||
<div class="line"><span class="lineno"> 295</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, bob_private_key, mod);</div>
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||||
<div class="line"><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> << <span class="stringliteral">"\tPrivate key: "</span> << bob_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><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> << <span class="stringliteral">"\tPublic Key: "</span> << bob_public_key << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 296</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << bob_private_key << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 297</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << bob_public_key << std::endl;</div>
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<div class="line"><span class="lineno"> 298</span> </div>
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<div class="line"><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"><span class="lineno"> 300</span> <span class="comment">// create shared key:</span></div>
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@@ -273,24 +293,17 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 305</span> alice_public_key, a,</div>
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<div class="line"><span class="lineno"> 306</span> bob_private_key, mod);</div>
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<div class="line"><span class="lineno"> 307</span> </div>
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<div class="line"><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> << <span class="stringliteral">"Shared keys:\n"</span>;</div>
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<div class="line"><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> << alice_shared_key << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><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> << bob_shared_key << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 308</span> std::cout << <span class="stringliteral">"Shared keys:\n"</span>;</div>
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<div class="line"><span class="lineno"> 309</span> std::cout << alice_shared_key << std::endl;</div>
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<div class="line"><span class="lineno"> 310</span> std::cout << bob_shared_key << std::endl;</div>
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<div class="line"><span class="lineno"> 311</span> </div>
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<div class="line"><span class="lineno"> 312</span> <span class="comment">// Check whether shared keys are equal</span></div>
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<div class="line"><span class="lineno"> 313</span> assert(alice_shared_key == bob_shared_key);</div>
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<div class="line"><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>
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||||
<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="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition</b> power_for_huge_numbers.cpp:25</div></div>
|
||||
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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>
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<div class="header">
|
||||
<div class="headertitle"><div class="title">elliptic_curve_key_exchange.cpp</div></div>
|
||||
</div><!--header-->
|
||||
<div class="contents">
|
||||
<a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
|
||||
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include <cassert></span> </div>
|
||||
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include <iostream></span> </div>
|
||||
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
|
||||
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "<a class="code" href="../../da/da3/uint256__t_8hpp.html">uint256_t.hpp</a>"</span> </div>
|
||||
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
|
||||
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d6/d4e/namespaceciphers.html">ciphers</a> {</div>
|
||||
<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html"> 40</a></span><span class="keyword">namespace </span>elliptic_curve_key_exchange {</div>
|
||||
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
|
||||
<div class="foldopen" id="foldopen00046" data-start="{" data-end="};">
|
||||
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html"> 46</a></span><span class="keyword">typedef</span> <span class="keyword">struct </span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> {</div>
|
||||
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> x, y; </div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
|
||||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446"> 55</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &p) { <span class="keywordflow">return</span> x == p.x && y == p.y; }</div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
|
||||
<div class="foldopen" id="foldopen00063" data-start="{" data-end="};">
|
||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c"> 63</a></span> <span class="keyword">friend</span> std::ostream &<a class="code hl_friend" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c">operator<<</a>(std::ostream &op, <span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &p) {</div>
|
||||
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> op << p.x << <span class="stringliteral">" "</span> << p.y;</div>
|
||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> op;</div>
|
||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830"> 67</a></span>} <a class="code hl_typedef" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">Point</a>;</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
|
||||
<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0"> 78</a></span><a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(<a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> number, <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod) {</div>
|
||||
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
|
||||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(1);</div>
|
||||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
|
||||
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> ans(1);</div>
|
||||
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> number = number % mod;</div>
|
||||
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">while</span> (<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
|
||||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> ((<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> & 1)) {</div>
|
||||
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> ans = (ans * number) % mod;</div>
|
||||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> }</div>
|
||||
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> >>= 1;</div>
|
||||
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>) {</div>
|
||||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> number = (number * number) % mod;</div>
|
||||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
|
||||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
|
||||
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">return</span> ans;</div>
|
||||
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
|
||||
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf"> 110</a></span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(<a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> a, <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> b, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff,</div>
|
||||
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> mod) {</div>
|
||||
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> lambda(0); </div>
|
||||
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> zero(0); </div>
|
||||
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> lambda = zero = 0;</div>
|
||||
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf = ~zero;</div>
|
||||
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">if</span> (a.x != b.x || a.y != b.y) {</div>
|
||||
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Slope being infinite.</span></div>
|
||||
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">if</span> (b.x == a.x) {</div>
|
||||
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">return</span> {inf, inf};</div>
|
||||
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
|
||||
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> num = (b.y - a.y + mod), den = (b.x - a.x + mod);</div>
|
||||
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> lambda = (num * (<a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(den, mod - 2, mod))) % mod;</div>
|
||||
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (!a.y) {</div>
|
||||
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">return</span> {inf, inf};</div>
|
||||
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> }</div>
|
||||
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> axsq = ((a.x * a.x)) % mod;</div>
|
||||
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">// Mulitply by 3 adjustment</span></div>
|
||||
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> axsq += (axsq << 1);</div>
|
||||
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> axsq %= mod;</div>
|
||||
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Mulitply by 2 adjustment</span></div>
|
||||
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> a_2 = (a.y << 1);</div>
|
||||
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> lambda =</div>
|
||||
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> (((axsq + curve_a_coeff) % mod) * <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(a_2, mod - 2, mod)) % mod;</div>
|
||||
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> }</div>
|
||||
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> c;</div>
|
||||
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// new point: x = ((lambda^2) - x1 - x2)</span></div>
|
||||
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="comment">// y = (lambda * (x1 - x)) - y1</span></div>
|
||||
<div class="line"><a id="l00149" 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 id="l00150" name="l00150"></a><span class="lineno"> 150</span> c.y = (((lambda * (a.x + mod - c.x)) % mod) + mod - a.y) % mod;</div>
|
||||
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordflow">return</span> c;</div>
|
||||
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
|
||||
<div class="foldopen" id="foldopen00165" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2"> 165</a></span><a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#a17f3d667241b88115a95282cdd719cb2">multiply</a>(<span class="keyword">const</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> &a, <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &curve_a_coeff, <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> p,</div>
|
||||
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> &mod) {</div>
|
||||
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> N = a;</div>
|
||||
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> N.x %= mod;</div>
|
||||
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> N.y %= mod;</div>
|
||||
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a> inf{};</div>
|
||||
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> inf = <a class="code hl_class" href="../../d1/d83/classuint256__t.html">~uint256_t</a>(0);</div>
|
||||
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <a class="code hl_struct" href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html">Point</a> Q = {inf, inf};</div>
|
||||
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">while</span> (p) {</div>
|
||||
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">if</span> ((p & 1)) {</div>
|
||||
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">if</span> (Q.x == inf && Q.y == inf) {</div>
|
||||
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> Q.x = N.x;</div>
|
||||
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> Q.y = N.y;</div>
|
||||
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> } <span class="keywordflow">else</span> {</div>
|
||||
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> Q = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(Q, N, curve_a_coeff, mod);</div>
|
||||
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> }</div>
|
||||
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
|
||||
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> p >>= 1;</div>
|
||||
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordflow">if</span> (p) {</div>
|
||||
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> N = <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#acc5fe9c2032fb7582c38a20d1fa69bcf">addition</a>(N, N, curve_a_coeff, mod);</div>
|
||||
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> }</div>
|
||||
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
|
||||
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">return</span> Q;</div>
|
||||
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span>} <span class="comment">// namespace elliptic_curve_key_exchange</span></div>
|
||||
</div>
|
||||
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span>} <span class="comment">// namespace ciphers</span></div>
|
||||
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
|
||||
<div class="foldopen" id="foldopen00197" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4"> 197</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a8800c8a84d77dadadb05ad5e83b77ef4">uint128_t_tests</a>() {</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">"122"</span>), b(<span class="stringliteral">"2312"</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 & 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 << 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
|
||||
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> assert((b >> 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">"12321421424232142122"</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">"23123212"</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">"12321421424255265334"</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">"12321421424209018910"</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">"284910839733861759501135864"</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 & 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">"12321421424236352814"</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">"12321421424217440294"</span>));</div>
|
||||
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> assert((a << 64) == <a class="code hl_class" href="../../db/d9a/classuint128__t.html">uint128_t</a>(<span class="stringliteral">"227290107637132170748078080907806769152"</span>));</div>
|
||||
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> </div>
|
||||
<div class="foldopen" id="foldopen00230" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae"> 230</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#a37775d1724ffe404c088dabbc8da91ae">uint256_t_tests</a>() {</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">"122"</span>), b(<span class="stringliteral">"2312"</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 & 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 << 64) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"2250502776992565297152"</span>));</div>
|
||||
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> assert((b >> 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">"12321423124513251424232142122"</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">"23124312431243243215354315132413213212"</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">"23124312443564666339867566556645355334"</span>));</div>
|
||||
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// Since a < 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">"115792089237316195423570985008687907853246860353"</span></div>
|
||||
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="stringliteral">"221642219366742944204948568846"</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">"284924437928789743312147393953938013677909398222"</span></div>
|
||||
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">"169728183872115864"</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">"1876756621"</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">"2170491202688962563936723450"</span>));</div>
|
||||
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> assert((a & b) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"3553901085693256462344"</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">"23124312443564662785966480863388892990"</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">"23124312443564659232065395170132430646"</span>));</div>
|
||||
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> assert((a << 128) == <a class="code hl_class" href="../../d1/d83/classuint256__t.html">uint256_t</a>(<span class="stringliteral">"4192763024643754272961909047609369343091683"</span></div>
|
||||
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="stringliteral">"376561852756163540549632"</span>));</div>
|
||||
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>}</div>
|
||||
</div>
|
||||
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
|
||||
<div class="foldopen" id="foldopen00267" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 267</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</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">"4451685225093714772084598273548424"</span>),</div>
|
||||
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> b(<span class="stringliteral">"2061118396808653202902996166388514"</span>),</div>
|
||||
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> mod(<span class="stringliteral">"4451685225093714772084598273548427"</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">"188281465057972534892223778713752"</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">"3419875491033170827167861896082688"</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> std::cout << <span class="stringliteral">"For alice:\n"</span>;</div>
|
||||
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="comment">// Alice'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">"164330438812053169644452143505618"</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/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, alice_private_key, mod);</div>
|
||||
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << alice_private_key << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << alice_public_key << std::endl;</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> std::cout << <span class="stringliteral">"For Bob:\n"</span>;</div>
|
||||
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// Bob'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">"1959473333748537081510525763478373"</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/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a>(ptr, a, bob_private_key, mod);</div>
|
||||
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> std::cout << <span class="stringliteral">"\tPrivate key: "</span> << bob_private_key << <span class="stringliteral">"\n"</span>;</div>
|
||||
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> std::cout << <span class="stringliteral">"\tPublic Key: "</span> << bob_public_key << std::endl;</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/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">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/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">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> std::cout << <span class="stringliteral">"Shared keys:\n"</span>;</div>
|
||||
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> std::cout << alice_shared_key << std::endl;</div>
|
||||
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> std::cout << bob_shared_key << std::endl;</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>
|
||||
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
|
||||
<div class="foldopen" id="foldopen00320" data-start="{" data-end="}">
|
||||
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"><a class="line" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 320</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</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>
|
||||
<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> <a href="../../da/d41/uint128__t_8hpp_source.html#l00060">uint128_t.hpp:60</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> <a href="../../da/da3/uint256__t_8hpp_source.html#l00033">uint256_t.hpp:33</a></div></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> <a href="#l00230">elliptic_curve_key_exchange.cpp:230</a></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> <a href="#l00197">elliptic_curve_key_exchange.cpp:197</a></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> <a href="#l00267">elliptic_curve_key_exchange.cpp:267</a></div></div>
|
||||
<div class="ttc" id="aelliptic__curve__key__exchange_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/d2c/elliptic__curve__key__exchange_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00320">elliptic_curve_key_exchange.cpp:320</a></div></div>
|
||||
<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> <a href="#l00165">elliptic_curve_key_exchange.cpp:165</a></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> <a href="#l00078">elliptic_curve_key_exchange.cpp:78</a></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> <a href="#l00110">elliptic_curve_key_exchange.cpp:110</a></div></div>
|
||||
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_af0a6e3521629c25c2b5d620f26429830"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#af0a6e3521629c25c2b5d620f26429830">ciphers::elliptic_curve_key_exchange::Point</a></div><div class="ttdeci">struct ciphers::elliptic_curve_key_exchange::Point Point</div><div class="ttdoc">Definition of struct Point.</div></div>
|
||||
<div class="ttc" id="anamespaceciphers_html"><div class="ttname"><a href="../../d6/d4e/namespaceciphers.html">ciphers</a></div><div class="ttdoc">Algorithms for encryption and decryption.</div></div>
|
||||
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_aa141a7904f0c4668bac112d652a3acf9"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">multiply</a></div><div class="ttdeci">int multiply(int x, int res[], int res_size)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00025">power_for_huge_numbers.cpp:25</a></div></div>
|
||||
<div class="ttc" id="apower__for__huge__numbers_8cpp_html_ae249a2af508aa94266023ce8aa81426f"><div class="ttname"><a href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a></div><div class="ttdeci">void power(int x, int n)</div><div class="ttdef"><b>Definition</b> <a href="../../df/def/power__for__huge__numbers_8cpp_source.html#l00056">power_for_huge_numbers.cpp:56</a></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> <a href="#l00046">elliptic_curve_key_exchange.cpp:46</a></div></div>
|
||||
<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html_a5084e9ca27837662c31d4dc003815446"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#a5084e9ca27837662c31d4dc003815446">ciphers::elliptic_curve_key_exchange::Point::operator==</a></div><div class="ttdeci">bool operator==(const Point &p)</div><div class="ttdoc">x and y co-ordinates</div><div class="ttdef"><b>Definition</b> <a href="#l00055">elliptic_curve_key_exchange.cpp:55</a></div></div>
|
||||
<div class="ttc" id="astructciphers_1_1elliptic__curve__key__exchange_1_1_point_html_af2142b27241b28f835e8ce78d7d6463c"><div class="ttname"><a href="../../d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html#af2142b27241b28f835e8ce78d7d6463c">ciphers::elliptic_curve_key_exchange::Point::operator<<</a></div><div class="ttdeci">friend std::ostream & operator<<(std::ostream &op, const Point &p)</div><div class="ttdoc">ostream operator for printing Point</div><div class="ttdef"><b>Definition</b> <a href="#l00063">elliptic_curve_key_exchange.cpp:63</a></div></div>
|
||||
<div class="ttc" id="auint256__t_8hpp_html"><div class="ttname"><a href="../../da/da3/uint256__t_8hpp.html">uint256_t.hpp</a></div></div>
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