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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp_256PMW.h File Reference</div> </div>
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<p>FP Header File.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="big__256__56_8h_source.html">big_256_56.h</a>&quot;</code><br />
<code>#include &quot;config_field_256PMW.h&quot;</code><br />
</div>
<p><a href="fp__256PMW_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structFP__256PMW.html">FP_256PMW</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__256PMW.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Macros</h2></td></tr>
<tr class="memitem:addec66e5c5af0e72192e091b4354914c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#addec66e5c5af0e72192e091b4354914c">MODBITS_256PMW</a>&#160;&#160;&#160;MBITS_256PMW</td></tr>
<tr class="separator:addec66e5c5af0e72192e091b4354914c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acac1fa5a82e130f29cb7ebea36bf1cff"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#acac1fa5a82e130f29cb7ebea36bf1cff">TBITS_256PMW</a>&#160;&#160;&#160;(MBITS_256PMW%<a class="el" href="config__big__256__56_8h.html#ac6cb0299279eb5c9a07bccfd297f1b40">BASEBITS_256_56</a>)</td></tr>
<tr class="separator:acac1fa5a82e130f29cb7ebea36bf1cff"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9414961d53364c22e77e2814838ff4b4"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a9414961d53364c22e77e2814838ff4b4">TMASK_256PMW</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__256PMW_8h.html#acac1fa5a82e130f29cb7ebea36bf1cff">TBITS_256PMW</a>)-1)</td></tr>
<tr class="separator:a9414961d53364c22e77e2814838ff4b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a04f507586fd0cfb1c9a403fad9fc7c76"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a04f507586fd0cfb1c9a403fad9fc7c76">FEXCESS_256PMW</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_256PMW)-1)</td></tr>
<tr class="separator:a04f507586fd0cfb1c9a403fad9fc7c76"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a36034c557ca6233b3ead9c0fa05dc450"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a36034c557ca6233b3ead9c0fa05dc450">OMASK_256PMW</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__256PMW_8h.html#acac1fa5a82e130f29cb7ebea36bf1cff">TBITS_256PMW</a>))</td></tr>
<tr class="separator:a36034c557ca6233b3ead9c0fa05dc450"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a3367e822d7751b8f97b9a14f0c5385bf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a3367e822d7751b8f97b9a14f0c5385bf">FP_256PMW_iszilch</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a3367e822d7751b8f97b9a14f0c5385bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#a3367e822d7751b8f97b9a14f0c5385bf">More...</a><br /></td></tr>
<tr class="separator:a3367e822d7751b8f97b9a14f0c5385bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab70d9807ed956636f052f8258613718c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#ab70d9807ed956636f052f8258613718c">FP_256PMW_zero</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:ab70d9807ed956636f052f8258613718c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#ab70d9807ed956636f052f8258613718c">More...</a><br /></td></tr>
<tr class="separator:ab70d9807ed956636f052f8258613718c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d">FP_256PMW_copy</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d">More...</a><br /></td></tr>
<tr class="separator:a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a31bee112d46e36303a3d517b191b0dfa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a31bee112d46e36303a3d517b191b0dfa">FP_256PMW_rcopy</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:a31bee112d46e36303a3d517b191b0dfa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#a31bee112d46e36303a3d517b191b0dfa">More...</a><br /></td></tr>
<tr class="separator:a31bee112d46e36303a3d517b191b0dfa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1158a882dca8533baf15c007220c78d0"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a1158a882dca8533baf15c007220c78d0">FP_256PMW_equals</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:a1158a882dca8533baf15c007220c78d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#a1158a882dca8533baf15c007220c78d0">More...</a><br /></td></tr>
<tr class="separator:a1158a882dca8533baf15c007220c78d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a512fe73233f577639a44d8df77118c9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a512fe73233f577639a44d8df77118c9c">FP_256PMW_cswap</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, int s)</td></tr>
<tr class="memdesc:a512fe73233f577639a44d8df77118c9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#a512fe73233f577639a44d8df77118c9c">More...</a><br /></td></tr>
<tr class="separator:a512fe73233f577639a44d8df77118c9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8cf6bc3b6436e6ff284b191f1ba71b44"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a8cf6bc3b6436e6ff284b191f1ba71b44">FP_256PMW_cmove</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, int s)</td></tr>
<tr class="memdesc:a8cf6bc3b6436e6ff284b191f1ba71b44"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#a8cf6bc3b6436e6ff284b191f1ba71b44">More...</a><br /></td></tr>
<tr class="separator:a8cf6bc3b6436e6ff284b191f1ba71b44"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a097dd2656218a78d6286c576f0844512"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a097dd2656218a78d6286c576f0844512">FP_256PMW_nres</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:a097dd2656218a78d6286c576f0844512"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#a097dd2656218a78d6286c576f0844512">More...</a><br /></td></tr>
<tr class="separator:a097dd2656218a78d6286c576f0844512"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a977840da1a4072c0499b0fd14b146c7e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a977840da1a4072c0499b0fd14b146c7e">FP_256PMW_redc</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:a977840da1a4072c0499b0fd14b146c7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#a977840da1a4072c0499b0fd14b146c7e">More...</a><br /></td></tr>
<tr class="separator:a977840da1a4072c0499b0fd14b146c7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a72abc16a023d01ab4bc2da9e89e22286"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a72abc16a023d01ab4bc2da9e89e22286">FP_256PMW_one</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a72abc16a023d01ab4bc2da9e89e22286"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#a72abc16a023d01ab4bc2da9e89e22286">More...</a><br /></td></tr>
<tr class="separator:a72abc16a023d01ab4bc2da9e89e22286"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a976c4395273f0f7e03713ef84894b916"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a976c4395273f0f7e03713ef84894b916">FP_256PMW_mod</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> r, <a class="el" href="big__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_56</a> d)</td></tr>
<tr class="memdesc:a976c4395273f0f7e03713ef84894b916"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#a976c4395273f0f7e03713ef84894b916">More...</a><br /></td></tr>
<tr class="separator:a976c4395273f0f7e03713ef84894b916"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0b99e58bf014254f39faee649752355"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#ac0b99e58bf014254f39faee649752355">FP_256PMW_mul</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *z)</td></tr>
<tr class="memdesc:ac0b99e58bf014254f39faee649752355"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#ac0b99e58bf014254f39faee649752355">More...</a><br /></td></tr>
<tr class="separator:ac0b99e58bf014254f39faee649752355"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a338ce93697bfe51dbf17890634b0a72e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a338ce93697bfe51dbf17890634b0a72e">FP_256PMW_imul</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, int i)</td></tr>
<tr class="memdesc:a338ce93697bfe51dbf17890634b0a72e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#a338ce93697bfe51dbf17890634b0a72e">More...</a><br /></td></tr>
<tr class="separator:a338ce93697bfe51dbf17890634b0a72e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa3144bad1a3a3cb4fda8612b673ef554"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#aa3144bad1a3a3cb4fda8612b673ef554">FP_256PMW_sqr</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:aa3144bad1a3a3cb4fda8612b673ef554"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#aa3144bad1a3a3cb4fda8612b673ef554">More...</a><br /></td></tr>
<tr class="separator:aa3144bad1a3a3cb4fda8612b673ef554"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a449c10e9f86e9e8a62e7328bbafe4b29"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a449c10e9f86e9e8a62e7328bbafe4b29">FP_256PMW_add</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *z)</td></tr>
<tr class="memdesc:a449c10e9f86e9e8a62e7328bbafe4b29"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#a449c10e9f86e9e8a62e7328bbafe4b29">More...</a><br /></td></tr>
<tr class="separator:a449c10e9f86e9e8a62e7328bbafe4b29"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae1d63f9195ad732f3cafc2aa87b312b8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#ae1d63f9195ad732f3cafc2aa87b312b8">FP_256PMW_sub</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *z)</td></tr>
<tr class="memdesc:ae1d63f9195ad732f3cafc2aa87b312b8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#ae1d63f9195ad732f3cafc2aa87b312b8">More...</a><br /></td></tr>
<tr class="separator:ae1d63f9195ad732f3cafc2aa87b312b8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab84473a0346f0b54f78d40331896c420"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#ab84473a0346f0b54f78d40331896c420">FP_256PMW_div2</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:ab84473a0346f0b54f78d40331896c420"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#ab84473a0346f0b54f78d40331896c420">More...</a><br /></td></tr>
<tr class="separator:ab84473a0346f0b54f78d40331896c420"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ada4d298418c62c68b70a440e2a3204b7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#ada4d298418c62c68b70a440e2a3204b7">FP_256PMW_pow</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> z)</td></tr>
<tr class="memdesc:ada4d298418c62c68b70a440e2a3204b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#ada4d298418c62c68b70a440e2a3204b7">More...</a><br /></td></tr>
<tr class="separator:ada4d298418c62c68b70a440e2a3204b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a28934fb3e05c6ae9b78466a091554158"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a28934fb3e05c6ae9b78466a091554158">FP_256PMW_sqrt</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:a28934fb3e05c6ae9b78466a091554158"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#a28934fb3e05c6ae9b78466a091554158">More...</a><br /></td></tr>
<tr class="separator:a28934fb3e05c6ae9b78466a091554158"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2602fa618109949896ad506bfb325907"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a2602fa618109949896ad506bfb325907">FP_256PMW_neg</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:a2602fa618109949896ad506bfb325907"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a2602fa618109949896ad506bfb325907">More...</a><br /></td></tr>
<tr class="separator:a2602fa618109949896ad506bfb325907"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a671abd144eef6f988ea26ef7c0eac6d6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a671abd144eef6f988ea26ef7c0eac6d6">FP_256PMW_output</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a671abd144eef6f988ea26ef7c0eac6d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#a671abd144eef6f988ea26ef7c0eac6d6">More...</a><br /></td></tr>
<tr class="separator:a671abd144eef6f988ea26ef7c0eac6d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a56bfc318e81052bb5e4f5b6714a0a519"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a56bfc318e81052bb5e4f5b6714a0a519">FP_256PMW_rawoutput</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a56bfc318e81052bb5e4f5b6714a0a519"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#a56bfc318e81052bb5e4f5b6714a0a519">More...</a><br /></td></tr>
<tr class="separator:a56bfc318e81052bb5e4f5b6714a0a519"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a059563dd95e2b2b77ef94e69bc47ca00"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a059563dd95e2b2b77ef94e69bc47ca00">FP_256PMW_reduce</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a059563dd95e2b2b77ef94e69bc47ca00"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#a059563dd95e2b2b77ef94e69bc47ca00">More...</a><br /></td></tr>
<tr class="separator:a059563dd95e2b2b77ef94e69bc47ca00"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5912e5ee2ace802f43b8a557e2c49f23"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a5912e5ee2ace802f43b8a557e2c49f23">FP_256PMW_norm</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:a5912e5ee2ace802f43b8a557e2c49f23"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#a5912e5ee2ace802f43b8a557e2c49f23">More...</a><br /></td></tr>
<tr class="separator:a5912e5ee2ace802f43b8a557e2c49f23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:affce9fa5b3249baaaec97e7f4f8d1f2e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#affce9fa5b3249baaaec97e7f4f8d1f2e">FP_256PMW_qr</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x)</td></tr>
<tr class="memdesc:affce9fa5b3249baaaec97e7f4f8d1f2e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#affce9fa5b3249baaaec97e7f4f8d1f2e">More...</a><br /></td></tr>
<tr class="separator:affce9fa5b3249baaaec97e7f4f8d1f2e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4a46b02df97af820f00ae51d64d3afc5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a4a46b02df97af820f00ae51d64d3afc5">FP_256PMW_inv</a> (<a class="el" href="structFP__256PMW.html">FP_256PMW</a> *x, <a class="el" href="structFP__256PMW.html">FP_256PMW</a> *y)</td></tr>
<tr class="memdesc:a4a46b02df97af820f00ae51d64d3afc5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a4a46b02df97af820f00ae51d64d3afc5">More...</a><br /></td></tr>
<tr class="separator:a4a46b02df97af820f00ae51d64d3afc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
Variables</h2></td></tr>
<tr class="memitem:a7b3ca60eb8c7d0214ae7faf1e5c10d5a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a7b3ca60eb8c7d0214ae7faf1e5c10d5a">Modulus_256PMW</a></td></tr>
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<tr class="memitem:a972e0ef1063a6cd739c9ceeb1f31ce03"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a972e0ef1063a6cd739c9ceeb1f31ce03">R2modp_256PMW</a></td></tr>
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<tr class="memitem:a08cff7d79be5107cb5f9b7ec062f4cdf"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__256PMW_8h.html#a08cff7d79be5107cb5f9b7ec062f4cdf">MConst_256PMW</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section author"><dt>Author</dt><dd>Mike Scott </dd></dl>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a04f507586fd0cfb1c9a403fad9fc7c76"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a04f507586fd0cfb1c9a403fad9fc7c76">&#9670;&nbsp;</a></span>FEXCESS_256PMW</h2>
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<td class="memname">#define FEXCESS_256PMW&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_256PMW)-1)</td>
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<p>2^(BASEBITS*NLEN-MODBITS)-1 - normalised BIG can be multiplied by less than this before reduction </p>
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<a id="addec66e5c5af0e72192e091b4354914c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#addec66e5c5af0e72192e091b4354914c">&#9670;&nbsp;</a></span>MODBITS_256PMW</h2>
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<td class="memname">#define MODBITS_256PMW&#160;&#160;&#160;MBITS_256PMW</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="a36034c557ca6233b3ead9c0fa05dc450"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a36034c557ca6233b3ead9c0fa05dc450">&#9670;&nbsp;</a></span>OMASK_256PMW</h2>
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<td class="memname">#define OMASK_256PMW&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__256PMW_8h.html#acac1fa5a82e130f29cb7ebea36bf1cff">TBITS_256PMW</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="acac1fa5a82e130f29cb7ebea36bf1cff"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acac1fa5a82e130f29cb7ebea36bf1cff">&#9670;&nbsp;</a></span>TBITS_256PMW</h2>
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<td class="memname">#define TBITS_256PMW&#160;&#160;&#160;(MBITS_256PMW%<a class="el" href="config__big__256__56_8h.html#ac6cb0299279eb5c9a07bccfd297f1b40">BASEBITS_256_56</a>)</td>
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<p>Number of active bits in top word </p>
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<a id="a9414961d53364c22e77e2814838ff4b4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9414961d53364c22e77e2814838ff4b4">&#9670;&nbsp;</a></span>TMASK_256PMW</h2>
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<td class="memname">#define TMASK_256PMW&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__256PMW_8h.html#acac1fa5a82e130f29cb7ebea36bf1cff">TBITS_256PMW</a>)-1)</td>
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<p>Mask for active bits in top word </p>
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<h2 class="groupheader">Function Documentation</h2>
<a id="a449c10e9f86e9e8a62e7328bbafe4b29"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a449c10e9f86e9e8a62e7328bbafe4b29">&#9670;&nbsp;</a></span>FP_256PMW_add()</h2>
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<td class="memname">void FP_256PMW_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular sum = y+z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>FP number </td></tr>
</table>
</dd>
</dl>
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<a id="a8cf6bc3b6436e6ff284b191f1ba71b44"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8cf6bc3b6436e6ff284b191f1ba71b44">&#9670;&nbsp;</a></span>FP_256PMW_cmove()</h2>
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<td class="memname">void FP_256PMW_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Conditionally copies second parameter to the first (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
<tr><td class="paramname">y</td><td>another FP number </td></tr>
<tr><td class="paramname">s</td><td>copy takes place if not equal to 0 </td></tr>
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</dd>
</dl>
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<a id="a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7b3fd1e1d0e0b3d9cb0df5f02e8ff61d">&#9670;&nbsp;</a></span>FP_256PMW_copy()</h2>
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<td class="memname">void FP_256PMW_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">y</td><td>FP number to be copied to </td></tr>
<tr><td class="paramname">x</td><td>FP to be copied from </td></tr>
</table>
</dd>
</dl>
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<a id="a512fe73233f577639a44d8df77118c9c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a512fe73233f577639a44d8df77118c9c">&#9670;&nbsp;</a></span>FP_256PMW_cswap()</h2>
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<td class="memname">void FP_256PMW_cswap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</td>
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<td>)</td>
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<p>Conditionally swaps parameters in constant time (without branching) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
<tr><td class="paramname">y</td><td>another FP number </td></tr>
<tr><td class="paramname">s</td><td>swap takes place if not equal to 0 </td></tr>
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</dd>
</dl>
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<a id="ab84473a0346f0b54f78d40331896c420"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab84473a0346f0b54f78d40331896c420">&#9670;&nbsp;</a></span>FP_256PMW_div2()</h2>
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<td class="memname">void FP_256PMW_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit =y/2 mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
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</dd>
</dl>
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<a id="a1158a882dca8533baf15c007220c78d0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1158a882dca8533baf15c007220c78d0">&#9670;&nbsp;</a></span>FP_256PMW_equals()</h2>
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<td class="memname">int FP_256PMW_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if equal, else returns 0 </dd></dl>
</div>
</div>
<a id="a338ce93697bfe51dbf17890634b0a72e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a338ce93697bfe51dbf17890634b0a72e">&#9670;&nbsp;</a></span>FP_256PMW_imul()</h2>
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<td class="memname">void FP_256PMW_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>i</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular product = y*i mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the multiplicand </td></tr>
<tr><td class="paramname">i</td><td>a small number, the multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a4a46b02df97af820f00ae51d64d3afc5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4a46b02df97af820f00ae51d64d3afc5">&#9670;&nbsp;</a></span>FP_256PMW_inv()</h2>
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<div class="memproto">
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<td class="memname">void FP_256PMW_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit = 1/y mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a3367e822d7751b8f97b9a14f0c5385bf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3367e822d7751b8f97b9a14f0c5385bf">&#9670;&nbsp;</a></span>FP_256PMW_iszilch()</h2>
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<div class="memproto">
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<td class="memname">int FP_256PMW_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>BIG number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if zero, else returns 0 </dd></dl>
</div>
</div>
<a id="a976c4395273f0f7e03713ef84894b916"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a976c4395273f0f7e03713ef84894b916">&#9670;&nbsp;</a></span>FP_256PMW_mod()</h2>
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<div class="memproto">
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<td class="memname">void FP_256PMW_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#a6183570cd770f0ce6be0d94a42ee465a">DBIG_256_56</a>&#160;</td>
<td class="paramname"><em>d</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>This function comes in different flavours depending on the form of Modulus that is currently in use. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>BIG number, on exit = d mod Modulus </td></tr>
<tr><td class="paramname">d</td><td>DBIG number to be reduced </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ac0b99e58bf014254f39faee649752355"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac0b99e58bf014254f39faee649752355">&#9670;&nbsp;</a></span>FP_256PMW_mul()</h2>
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<td class="memname">void FP_256PMW_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Uses appropriate fast modular reduction method </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular product = y*z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the multiplicand </td></tr>
<tr><td class="paramname">z</td><td>FP number, the multiplier </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a2602fa618109949896ad506bfb325907"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2602fa618109949896ad506bfb325907">&#9670;&nbsp;</a></span>FP_256PMW_neg()</h2>
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<td class="memname">void FP_256PMW_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit = -y mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a5912e5ee2ace802f43b8a557e2c49f23"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5912e5ee2ace802f43b8a557e2c49f23">&#9670;&nbsp;</a></span>FP_256PMW_norm()</h2>
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<td class="memname">void FP_256PMW_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit normalized </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a097dd2656218a78d6286c576f0844512"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a097dd2656218a78d6286c576f0844512">&#9670;&nbsp;</a></span>FP_256PMW_nres()</h2>
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<td class="memname">void FP_256PMW_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>BIG number to be converted </td></tr>
<tr><td class="paramname">y</td><td>FP result </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a72abc16a023d01ab4bc2da9e89e22286"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a72abc16a023d01ab4bc2da9e89e22286">&#9670;&nbsp;</a></span>FP_256PMW_one()</h2>
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<td class="memname">void FP_256PMW_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number to be set equal to unity. </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a671abd144eef6f988ea26ef7c0eac6d6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a671abd144eef6f988ea26ef7c0eac6d6">&#9670;&nbsp;</a></span>FP_256PMW_output()</h2>
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<td class="memname">void FP_256PMW_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Converts from residue form before output </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>an FP number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ada4d298418c62c68b70a440e2a3204b7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ada4d298418c62c68b70a440e2a3204b7">&#9670;&nbsp;</a></span>FP_256PMW_pow()</h2>
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<td class="memname">void FP_256PMW_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit = y^z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>BIG number exponent </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="affce9fa5b3249baaaec97e7f4f8d1f2e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#affce9fa5b3249baaaec97e7f4f8d1f2e">&#9670;&nbsp;</a></span>FP_256PMW_qr()</h2>
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<td class="memname">int FP_256PMW_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number to be tested </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>1 if quadratic residue, else returns 0 if quadratic non-residue </dd></dl>
</div>
</div>
<a id="a56bfc318e81052bb5e4f5b6714a0a519"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a56bfc318e81052bb5e4f5b6714a0a519">&#9670;&nbsp;</a></span>FP_256PMW_rawoutput()</h2>
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<td class="memname">void FP_256PMW_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>a BIG number </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a31bee112d46e36303a3d517b191b0dfa"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a31bee112d46e36303a3d517b191b0dfa">&#9670;&nbsp;</a></span>FP_256PMW_rcopy()</h2>
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<td class="memname">void FP_256PMW_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>x</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">y</td><td>FP number to be copied to </td></tr>
<tr><td class="paramname">x</td><td>BIG to be copied from ROM </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a977840da1a4072c0499b0fd14b146c7e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a977840da1a4072c0499b0fd14b146c7e">&#9670;&nbsp;</a></span>FP_256PMW_redc()</h2>
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<td class="memname">void FP_256PMW_redc </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a>&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">y</td><td>FP number to be converted to BIG </td></tr>
<tr><td class="paramname">x</td><td>BIG result </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a059563dd95e2b2b77ef94e69bc47ca00"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a059563dd95e2b2b77ef94e69bc47ca00">&#9670;&nbsp;</a></span>FP_256PMW_reduce()</h2>
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<td class="memname">void FP_256PMW_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="aa3144bad1a3a3cb4fda8612b673ef554"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa3144bad1a3a3cb4fda8612b673ef554">&#9670;&nbsp;</a></span>FP_256PMW_sqr()</h2>
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<td class="memname">void FP_256PMW_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Uses appropriate fast modular reduction method </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit the modular product = y^2 mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the number to be squared </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="a28934fb3e05c6ae9b78466a091554158"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a28934fb3e05c6ae9b78466a091554158">&#9670;&nbsp;</a></span>FP_256PMW_sqrt()</h2>
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<td class="memname">void FP_256PMW_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>FP number, on exit = sqrt(y) mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the number whose square root is calculated </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a id="ae1d63f9195ad732f3cafc2aa87b312b8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae1d63f9195ad732f3cafc2aa87b312b8">&#9670;&nbsp;</a></span>FP_256PMW_sub()</h2>
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<td class="memname">void FP_256PMW_sub </td>
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<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP number, on exit the modular difference = y-z mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number </td></tr>
<tr><td class="paramname">z</td><td>FP number </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#ab70d9807ed956636f052f8258613718c">&#9670;&nbsp;</a></span>FP_256PMW_zero()</h2>
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<td class="memname">void FP_256PMW_zero </td>
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<td class="paramtype"><a class="el" href="structFP__256PMW.html">FP_256PMW</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">x</td><td>FP number to be set to 0 </td></tr>
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<h2 class="groupheader">Variable Documentation</h2>
<a id="a08cff7d79be5107cb5f9b7ec062f4cdf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a08cff7d79be5107cb5f9b7ec062f4cdf">&#9670;&nbsp;</a></span>MConst_256PMW</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_256PMW</td>
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<p>Constant associated with Modulus - for Montgomery = 1/p mod 2^BASEBITS </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b3ca60eb8c7d0214ae7faf1e5c10d5a">&#9670;&nbsp;</a></span>Modulus_256PMW</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> Modulus_256PMW</td>
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<p>Actual Modulus set in romf_yyy.c </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a972e0ef1063a6cd739c9ceeb1f31ce03">&#9670;&nbsp;</a></span>R2modp_256PMW</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> R2modp_256PMW</td>
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<p>Montgomery constant </p>
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