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<a href="fp4__FP256BN_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> Licensed to the Apache Software Foundation (ASF) under one</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> or more contributor license agreements. See the NOTICE file</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> regarding copyright ownership. The ASF licenses this file</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> to you under the Apache License, Version 2.0 (the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> &quot;License&quot;); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> with the License. You may obtain a copy of the License at</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> Unless required by applicable law or agreed to in writing,</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> software distributed under the License is distributed on an</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> KIND, either express or implied. See the License for the</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#ifndef FP4_FP256BN_H</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#define FP4_FP256BN_H</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="fp2__FP256BN_8h.html">fp2_FP256BN.h</a>&quot;</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor">#include &quot;config_curve_FP256BN.h&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;</div><div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="structFP4__FP256BN.html"> 37</a></span>&#160;<span class="keyword">typedef</span> <span class="keyword">struct</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;{</div><div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structFP4__FP256BN.html#a3e607721a6f9c7ea95c2aa0adddc60e7"> 39</a></span>&#160; <a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> <a class="code" href="structFP4__FP256BN.html#a3e607721a6f9c7ea95c2aa0adddc60e7">a</a>; </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structFP4__FP256BN.html#ad6777dda8daf02c71dcae01b3b86819f"> 40</a></span>&#160; <a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> <a class="code" href="structFP4__FP256BN.html#ad6777dda8daf02c71dcae01b3b86819f">b</a>; </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;} <a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a>;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">/* FP4 prototypes */</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__FP256BN_8h.html#a6254a812179f40f940199f910ebadf11">FP4_FP256BN_iszilch</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__FP256BN_8h.html#ac3d10cea356f3dd1b64d31fc9fef5bfc">FP4_FP256BN_isunity</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__FP256BN_8h.html#ab7d63dfadb047ece7be03c9c9804ae1b">FP4_FP256BN_equals</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__FP256BN_8h.html#a846a6fbadb9e277d049266066a02274e">FP4_FP256BN_isreal</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#afb06e4b9fbf56a7c8137e39677369931">FP4_FP256BN_from_FP2s</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *b);</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a0aca822840b0307d00f6314be85f0751">FP4_FP256BN_from_FP2</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a481cb0b8e166d414e20109e45644c1d7">FP4_FP256BN_from_FP2H</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a2073b8dd17670e26a21b1e1a59922a83">FP4_FP256BN_copy</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a773498a89391b919f6246882da525c12">FP4_FP256BN_zero</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a3a2443d35f313d00c372d434838e6f23">FP4_FP256BN_one</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a86c956bbdfc6e300d5e255dbe1971b3c">FP4_FP256BN_neg</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a2cb7168382b258431c62eb2b653a1722">FP4_FP256BN_conj</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a64fa3dc1e25fbc0ca2d759873ef67e03">FP4_FP256BN_nconj</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a5f5fd95bf292c5351aa1286d3102473d">FP4_FP256BN_add</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a7c4f2b82dd00b4b9bd32ad194b5915eb">FP4_FP256BN_sub</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z);</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a9a733fa130464e87ba0c41d8f36f2c71">FP4_FP256BN_pmul</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *a);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a401bfb75733fc778dc6a3142cc5d69fb">FP4_FP256BN_qmul</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP__FP256BN.html">FP_FP256BN</a> *a);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a130978950759dd2fb78a696cd046c757">FP4_FP256BN_imul</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<span class="keywordtype">int</span> i);</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#ab3dcf11e964c673efd66f363f153e460">FP4_FP256BN_sqr</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a6dc91c5c817967288bcdf2fabdf0ba24">FP4_FP256BN_mul</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z);</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#ad0645a295bcc25736d3491a74dd9f576">FP4_FP256BN_inv</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a306a9ef0860c525b9456ceb694727934">FP4_FP256BN_output</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#ac6ca73201a848932fccb615fde9dc770">FP4_FP256BN_rawoutput</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a823d7ae791f9c9e98296a78c997f23df">FP4_FP256BN_times_i</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a9c0be501c943362a1da8a3c585efaa27">FP4_FP256BN_norm</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a074b78a1c8dfe032998e7e44be957959">FP4_FP256BN_reduce</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a884727f8b9e6bd8a6e2a2476b41cad66">FP4_FP256BN_pow</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a3a230bb54dba041abb06e3f7384170f7">FP4_FP256BN_frob</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP2__FP256BN.html">FP2_FP256BN</a> *f);</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a5a082b7c04376b2e5d6d7a8b485e06cc">FP4_FP256BN_xtr_A</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *w,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *z);</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#ae94c49d807838945fd8b9b40914f70ce">FP4_FP256BN_xtr_D</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#aab43369dcadefdb798dea858a04b4d46">FP4_FP256BN_xtr_pow</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a7aa5543add1ec1c71d70096b1587f69e">FP4_FP256BN_xtr_pow2</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *c,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *d,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *e,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *f,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> a,<a class="code" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> b);</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a6865fd6ec567c9dcde56de80f1849038">FP4_FP256BN_cmove</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y,<span class="keywordtype">int</span> s);</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;</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">int</span> <a class="code" href="fp4__FP256BN_8h.html#a30c8143fc80aec305d6808ad857111e6">FP4_FP256BN_sqrt</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *r,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</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;</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#a56b52d2e9122742f2b7b112564cd25b2">FP4_FP256BN_div_i</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#abf12a196bd4bd76c7cb6294ff22126ad">FP4_FP256BN_div_2i</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x);</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="keyword">extern</span> <span class="keywordtype">void</span> <a class="code" href="fp4__FP256BN_8h.html#ae971c64134f3aacae3539fa4dcdc2de4">FP4_FP256BN_div2</a>(<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *x,<a class="code" href="structFP4__FP256BN.html">FP4_FP256BN</a> *y);</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;</div><div class="ttc" id="fp4__FP256BN_8h_html_a3a230bb54dba041abb06e3f7384170f7"><div class="ttname"><a href="fp4__FP256BN_8h.html#a3a230bb54dba041abb06e3f7384170f7">FP4_FP256BN_frob</a></div><div class="ttdeci">void FP4_FP256BN_frob(FP4_FP256BN *x, FP2_FP256BN *f)</div><div class="ttdoc">Raises an FP4 to the power of the internal modulus p, using the Frobenius.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:317</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_aab43369dcadefdb798dea858a04b4d46"><div class="ttname"><a href="fp4__FP256BN_8h.html#aab43369dcadefdb798dea858a04b4d46">FP4_FP256BN_xtr_pow</a></div><div class="ttdeci">void FP4_FP256BN_xtr_pow(FP4_FP256BN *r, FP4_FP256BN *x, BIG_256_56 b)</div><div class="ttdoc">Calculates FP4 trace of an FP12 raised to the power of a BIG number.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:387</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a6254a812179f40f940199f910ebadf11"><div class="ttname"><a href="fp4__FP256BN_8h.html#a6254a812179f40f940199f910ebadf11">FP4_FP256BN_iszilch</a></div><div class="ttdeci">int FP4_FP256BN_iszilch(FP4_FP256BN *x)</div><div class="ttdoc">Tests for FP4 equal to zero.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:29</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a306a9ef0860c525b9456ceb694727934"><div class="ttname"><a href="fp4__FP256BN_8h.html#a306a9ef0860c525b9456ceb694727934">FP4_FP256BN_output</a></div><div class="ttdeci">void FP4_FP256BN_output(FP4_FP256BN *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:258</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a86c956bbdfc6e300d5e255dbe1971b3c"><div class="ttname"><a href="fp4__FP256BN_8h.html#a86c956bbdfc6e300d5e255dbe1971b3c">FP4_FP256BN_neg</a></div><div class="ttdeci">void FP4_FP256BN_neg(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Negation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:109</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a074b78a1c8dfe032998e7e44be957959"><div class="ttname"><a href="fp4__FP256BN_8h.html#a074b78a1c8dfe032998e7e44be957959">FP4_FP256BN_reduce</a></div><div class="ttdeci">void FP4_FP256BN_reduce(FP4_FP256BN *x)</div><div class="ttdoc">Reduces all components of possibly unreduced FP4 mod Modulus.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:158</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a6dc91c5c817967288bcdf2fabdf0ba24"><div class="ttname"><a href="fp4__FP256BN_8h.html#a6dc91c5c817967288bcdf2fabdf0ba24">FP4_FP256BN_mul</a></div><div class="ttdeci">void FP4_FP256BN_mul(FP4_FP256BN *x, FP4_FP256BN *y, FP4_FP256BN *z)</div><div class="ttdoc">Multiplication of two FP4s.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:228</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ac6ca73201a848932fccb615fde9dc770"><div class="ttname"><a href="fp4__FP256BN_8h.html#ac6ca73201a848932fccb615fde9dc770">FP4_FP256BN_rawoutput</a></div><div class="ttdeci">void FP4_FP256BN_rawoutput(FP4_FP256BN *x)</div><div class="ttdoc">Formats and outputs an FP4 to the console in raw form (for debugging)</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:268</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ae94c49d807838945fd8b9b40914f70ce"><div class="ttname"><a href="fp4__FP256BN_8h.html#ae94c49d807838945fd8b9b40914f70ce">FP4_FP256BN_xtr_D</a></div><div class="ttdeci">void FP4_FP256BN_xtr_D(FP4_FP256BN *r, FP4_FP256BN *x)</div><div class="ttdoc">Calculates the XTR doubling function r=x^2-2*conj(x)</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:373</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a2cb7168382b258431c62eb2b653a1722"><div class="ttname"><a href="fp4__FP256BN_8h.html#a2cb7168382b258431c62eb2b653a1722">FP4_FP256BN_conj</a></div><div class="ttdeci">void FP4_FP256BN_conj(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Conjugation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:124</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a6865fd6ec567c9dcde56de80f1849038"><div class="ttname"><a href="fp4__FP256BN_8h.html#a6865fd6ec567c9dcde56de80f1849038">FP4_FP256BN_cmove</a></div><div class="ttdeci">void FP4_FP256BN_cmove(FP4_FP256BN *x, FP4_FP256BN *y, int s)</div><div class="ttdoc">Conditional copy of FP4 number.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:577</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a401bfb75733fc778dc6a3142cc5d69fb"><div class="ttname"><a href="fp4__FP256BN_8h.html#a401bfb75733fc778dc6a3142cc5d69fb">FP4_FP256BN_qmul</a></div><div class="ttdeci">void FP4_FP256BN_qmul(FP4_FP256BN *x, FP4_FP256BN *y, FP_FP256BN *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:181</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a2073b8dd17670e26a21b1e1a59922a83"><div class="ttname"><a href="fp4__FP256BN_8h.html#a2073b8dd17670e26a21b1e1a59922a83">FP4_FP256BN_copy</a></div><div class="ttdeci">void FP4_FP256BN_copy(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Copy FP4 to another FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:84</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a481cb0b8e166d414e20109e45644c1d7"><div class="ttname"><a href="fp4__FP256BN_8h.html#a481cb0b8e166d414e20109e45644c1d7">FP4_FP256BN_from_FP2H</a></div><div class="ttdeci">void FP4_FP256BN_from_FP2H(FP4_FP256BN *x, FP2_FP256BN *a)</div><div class="ttdoc">Initialise FP4 from single FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:76</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a5f5fd95bf292c5351aa1286d3102473d"><div class="ttname"><a href="fp4__FP256BN_8h.html#a5f5fd95bf292c5351aa1286d3102473d">FP4_FP256BN_add</a></div><div class="ttdeci">void FP4_FP256BN_add(FP4_FP256BN *x, FP4_FP256BN *y, FP4_FP256BN *z)</div><div class="ttdoc">addition of two FP4s</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:142</div></div>
<div class="ttc" id="structFP__FP256BN_html"><div class="ttname"><a href="structFP__FP256BN.html">FP_FP256BN</a></div><div class="ttdoc">FP Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp_FP256BN.h:38</div></div>
<div class="ttc" id="structFP2__FP256BN_html"><div class="ttname"><a href="structFP2__FP256BN.html">FP2_FP256BN</a></div><div class="ttdoc">FP2 Structure - quadratic extension field.</div><div class="ttdef"><b>Definition:</b> fp2_FP256BN.h:36</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ab7d63dfadb047ece7be03c9c9804ae1b"><div class="ttname"><a href="fp4__FP256BN_8h.html#ab7d63dfadb047ece7be03c9c9804ae1b">FP4_FP256BN_equals</a></div><div class="ttdeci">int FP4_FP256BN_equals(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Tests for equality of two FP4s.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:51</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_abf12a196bd4bd76c7cb6294ff22126ad"><div class="ttname"><a href="fp4__FP256BN_8h.html#abf12a196bd4bd76c7cb6294ff22126ad">FP4_FP256BN_div_2i</a></div><div class="ttdeci">void FP4_FP256BN_div_2i(FP4_FP256BN *x)</div><div class="ttdoc">Divide an FP4 by QNR/2.</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a30c8143fc80aec305d6808ad857111e6"><div class="ttname"><a href="fp4__FP256BN_8h.html#a30c8143fc80aec305d6808ad857111e6">FP4_FP256BN_sqrt</a></div><div class="ttdeci">int FP4_FP256BN_sqrt(FP4_FP256BN *r, FP4_FP256BN *x)</div><div class="ttdoc">Calculate square root of an FP4.</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a773498a89391b919f6246882da525c12"><div class="ttname"><a href="fp4__FP256BN_8h.html#a773498a89391b919f6246882da525c12">FP4_FP256BN_zero</a></div><div class="ttdeci">void FP4_FP256BN_zero(FP4_FP256BN *x)</div><div class="ttdoc">Set FP4 to zero.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:93</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a884727f8b9e6bd8a6e2a2476b41cad66"><div class="ttname"><a href="fp4__FP256BN_8h.html#a884727f8b9e6bd8a6e2a2476b41cad66">FP4_FP256BN_pow</a></div><div class="ttdeci">void FP4_FP256BN_pow(FP4_FP256BN *x, FP4_FP256BN *y, BIG_256_56 b)</div><div class="ttdoc">Raises an FP4 to the power of a BIG.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:326</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ad0645a295bcc25736d3491a74dd9f576"><div class="ttname"><a href="fp4__FP256BN_8h.html#ad0645a295bcc25736d3491a74dd9f576">FP4_FP256BN_inv</a></div><div class="ttdeci">void FP4_FP256BN_inv(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Inverting an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:279</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a846a6fbadb9e277d049266066a02274e"><div class="ttname"><a href="fp4__FP256BN_8h.html#a846a6fbadb9e277d049266066a02274e">FP4_FP256BN_isreal</a></div><div class="ttdeci">int FP4_FP256BN_isreal(FP4_FP256BN *x)</div><div class="ttdoc">Tests for FP4 having only a real part and no imaginary part.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:44</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a9c0be501c943362a1da8a3c585efaa27"><div class="ttname"><a href="fp4__FP256BN_8h.html#a9c0be501c943362a1da8a3c585efaa27">FP4_FP256BN_norm</a></div><div class="ttdeci">void FP4_FP256BN_norm(FP4_FP256BN *x)</div><div class="ttdoc">Normalises the components of an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:166</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a130978950759dd2fb78a696cd046c757"><div class="ttname"><a href="fp4__FP256BN_8h.html#a130978950759dd2fb78a696cd046c757">FP4_FP256BN_imul</a></div><div class="ttdeci">void FP4_FP256BN_imul(FP4_FP256BN *x, FP4_FP256BN *y, int i)</div><div class="ttdoc">Multiplication of an FP4 by a small integer.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:189</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a7aa5543add1ec1c71d70096b1587f69e"><div class="ttname"><a href="fp4__FP256BN_8h.html#a7aa5543add1ec1c71d70096b1587f69e">FP4_FP256BN_xtr_pow2</a></div><div class="ttdeci">void FP4_FP256BN_xtr_pow2(FP4_FP256BN *r, FP4_FP256BN *c, FP4_FP256BN *d, FP4_FP256BN *e, FP4_FP256BN *f, BIG_256_56 a, BIG_256_56 b)</div><div class="ttdoc">Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:444</div></div>
<div class="ttc" id="fp2__FP256BN_8h_html"><div class="ttname"><a href="fp2__FP256BN_8h.html">fp2_FP256BN.h</a></div><div class="ttdoc">FP2 Header File.</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a0aca822840b0307d00f6314be85f0751"><div class="ttname"><a href="fp4__FP256BN_8h.html#a0aca822840b0307d00f6314be85f0751">FP4_FP256BN_from_FP2</a></div><div class="ttdeci">void FP4_FP256BN_from_FP2(FP4_FP256BN *x, FP2_FP256BN *a)</div><div class="ttdoc">Initialise FP4 from single FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:68</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a64fa3dc1e25fbc0ca2d759873ef67e03"><div class="ttname"><a href="fp4__FP256BN_8h.html#a64fa3dc1e25fbc0ca2d759873ef67e03">FP4_FP256BN_nconj</a></div><div class="ttdeci">void FP4_FP256BN_nconj(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Negative conjugation of FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:133</div></div>
<div class="ttc" id="structFP4__FP256BN_html_ad6777dda8daf02c71dcae01b3b86819f"><div class="ttname"><a href="structFP4__FP256BN.html#ad6777dda8daf02c71dcae01b3b86819f">FP4_FP256BN::b</a></div><div class="ttdeci">FP2_FP256BN b</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.h:40</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_afb06e4b9fbf56a7c8137e39677369931"><div class="ttname"><a href="fp4__FP256BN_8h.html#afb06e4b9fbf56a7c8137e39677369931">FP4_FP256BN_from_FP2s</a></div><div class="ttdeci">void FP4_FP256BN_from_FP2s(FP4_FP256BN *x, FP2_FP256BN *a, FP2_FP256BN *b)</div><div class="ttdoc">Initialise FP4 from two FP2s.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:60</div></div>
<div class="ttc" id="structFP4__FP256BN_html_a3e607721a6f9c7ea95c2aa0adddc60e7"><div class="ttname"><a href="structFP4__FP256BN.html#a3e607721a6f9c7ea95c2aa0adddc60e7">FP4_FP256BN::a</a></div><div class="ttdeci">FP2_FP256BN a</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.h:39</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ae971c64134f3aacae3539fa4dcdc2de4"><div class="ttname"><a href="fp4__FP256BN_8h.html#ae971c64134f3aacae3539fa4dcdc2de4">FP4_FP256BN_div2</a></div><div class="ttdeci">void FP4_FP256BN_div2(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Divide an FP4 by 2.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:586</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a5a082b7c04376b2e5d6d7a8b485e06cc"><div class="ttname"><a href="fp4__FP256BN_8h.html#a5a082b7c04376b2e5d6d7a8b485e06cc">FP4_FP256BN_xtr_A</a></div><div class="ttdeci">void FP4_FP256BN_xtr_A(FP4_FP256BN *r, FP4_FP256BN *w, FP4_FP256BN *x, FP4_FP256BN *y, FP4_FP256BN *z)</div><div class="ttdoc">Calculates the XTR addition function r=w*x-conj(x)*y+z.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:353</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ac3d10cea356f3dd1b64d31fc9fef5bfc"><div class="ttname"><a href="fp4__FP256BN_8h.html#ac3d10cea356f3dd1b64d31fc9fef5bfc">FP4_FP256BN_isunity</a></div><div class="ttdeci">int FP4_FP256BN_isunity(FP4_FP256BN *x)</div><div class="ttdoc">Tests for FP4 equal to unity.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:37</div></div>
<div class="ttc" id="big__256__56_8h_html_abea3e70a8a87f28329ed8e48af7bb244"><div class="ttname"><a href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a></div><div class="ttdeci">chunk BIG_256_56[NLEN_256_56]</div><div class="ttdef"><b>Definition:</b> big_256_56.h:58</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a56b52d2e9122742f2b7b112564cd25b2"><div class="ttname"><a href="fp4__FP256BN_8h.html#a56b52d2e9122742f2b7b112564cd25b2">FP4_FP256BN_div_i</a></div><div class="ttdeci">void FP4_FP256BN_div_i(FP4_FP256BN *x)</div><div class="ttdoc">Divide FP4 number by QNR.</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a7c4f2b82dd00b4b9bd32ad194b5915eb"><div class="ttname"><a href="fp4__FP256BN_8h.html#a7c4f2b82dd00b4b9bd32ad194b5915eb">FP4_FP256BN_sub</a></div><div class="ttdeci">void FP4_FP256BN_sub(FP4_FP256BN *x, FP4_FP256BN *y, FP4_FP256BN *z)</div><div class="ttdoc">subtraction of two FP4s</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:150</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a3a2443d35f313d00c372d434838e6f23"><div class="ttname"><a href="fp4__FP256BN_8h.html#a3a2443d35f313d00c372d434838e6f23">FP4_FP256BN_one</a></div><div class="ttdeci">void FP4_FP256BN_one(FP4_FP256BN *x)</div><div class="ttdoc">Set FP4 to unity.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:101</div></div>
<div class="ttc" id="structFP4__FP256BN_html"><div class="ttname"><a href="structFP4__FP256BN.html">FP4_FP256BN</a></div><div class="ttdoc">FP4 Structure - towered over two FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.h:37</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a9a733fa130464e87ba0c41d8f36f2c71"><div class="ttname"><a href="fp4__FP256BN_8h.html#a9a733fa130464e87ba0c41d8f36f2c71">FP4_FP256BN_pmul</a></div><div class="ttdeci">void FP4_FP256BN_pmul(FP4_FP256BN *x, FP4_FP256BN *y, FP2_FP256BN *a)</div><div class="ttdoc">Multiplication of an FP4 by an FP2.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:174</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_ab3dcf11e964c673efd66f363f153e460"><div class="ttname"><a href="fp4__FP256BN_8h.html#ab3dcf11e964c673efd66f363f153e460">FP4_FP256BN_sqr</a></div><div class="ttdeci">void FP4_FP256BN_sqr(FP4_FP256BN *x, FP4_FP256BN *y)</div><div class="ttdoc">Squaring an FP4.</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:197</div></div>
<div class="ttc" id="fp4__FP256BN_8h_html_a823d7ae791f9c9e98296a78c997f23df"><div class="ttname"><a href="fp4__FP256BN_8h.html#a823d7ae791f9c9e98296a78c997f23df">FP4_FP256BN_times_i</a></div><div class="ttdeci">void FP4_FP256BN_times_i(FP4_FP256BN *x)</div><div class="ttdoc">multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1))</div><div class="ttdef"><b>Definition:</b> fp4_FP256BN.c:296</div></div>
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