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<a href="#nested-classes">Data Structures</a> &#124;
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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__464__60_8h_source.html">big_464_60.h</a>&quot;</code><br />
<code>#include &quot;config_field_BLS461.h&quot;</code><br />
</div>
<p><a href="fp__BLS461_8h_source.html">Go to the source code of this file.</a></p>
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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__BLS461.html">FP_BLS461</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__BLS461.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:ad93124500a75248e34c6eb971470f903"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ad93124500a75248e34c6eb971470f903">MODBITS_BLS461</a>&#160;&#160;&#160;MBITS_BLS461</td></tr>
<tr class="separator:ad93124500a75248e34c6eb971470f903"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af7537c391cd00befeef84c4170fd7be6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#af7537c391cd00befeef84c4170fd7be6">TBITS_BLS461</a>&#160;&#160;&#160;(MBITS_BLS461%<a class="el" href="config__big__464__60_8h.html#ae5374aa4dec809acb96ce87548f2a903">BASEBITS_464_60</a>)</td></tr>
<tr class="separator:af7537c391cd00befeef84c4170fd7be6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5f7acaaf3b7abf2bffd8739ca0695758"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a5f7acaaf3b7abf2bffd8739ca0695758">TMASK_BLS461</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__BLS461_8h.html#af7537c391cd00befeef84c4170fd7be6">TBITS_BLS461</a>)-1)</td></tr>
<tr class="separator:a5f7acaaf3b7abf2bffd8739ca0695758"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae5a279aea2a63985201547f8f1e03189"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ae5a279aea2a63985201547f8f1e03189">FEXCESS_BLS461</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_BLS461)-1)</td></tr>
<tr class="separator:ae5a279aea2a63985201547f8f1e03189"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a089863b6a95422baa694f5e99494bb8c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a089863b6a95422baa694f5e99494bb8c">OMASK_BLS461</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__BLS461_8h.html#af7537c391cd00befeef84c4170fd7be6">TBITS_BLS461</a>))</td></tr>
<tr class="separator:a089863b6a95422baa694f5e99494bb8c"><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:a3807d6395d796f092fce0cf63ca72790"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a3807d6395d796f092fce0cf63ca72790">FP_BLS461_iszilch</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:a3807d6395d796f092fce0cf63ca72790"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#a3807d6395d796f092fce0cf63ca72790">More...</a><br /></td></tr>
<tr class="separator:a3807d6395d796f092fce0cf63ca72790"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3f92b884f7b12261cf383cb17a584d4c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a3f92b884f7b12261cf383cb17a584d4c">FP_BLS461_zero</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:a3f92b884f7b12261cf383cb17a584d4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#a3f92b884f7b12261cf383cb17a584d4c">More...</a><br /></td></tr>
<tr class="separator:a3f92b884f7b12261cf383cb17a584d4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8b85cced1b0c966308f95e6d6281f3b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#aa8b85cced1b0c966308f95e6d6281f3b">FP_BLS461_copy</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:aa8b85cced1b0c966308f95e6d6281f3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#aa8b85cced1b0c966308f95e6d6281f3b">More...</a><br /></td></tr>
<tr class="separator:aa8b85cced1b0c966308f95e6d6281f3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac56ffbc5e030aeb3c39441cdeec76e62"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ac56ffbc5e030aeb3c39441cdeec76e62">FP_BLS461_rcopy</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> x)</td></tr>
<tr class="memdesc:ac56ffbc5e030aeb3c39441cdeec76e62"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#ac56ffbc5e030aeb3c39441cdeec76e62">More...</a><br /></td></tr>
<tr class="separator:ac56ffbc5e030aeb3c39441cdeec76e62"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8a73aa488adc7a32673037230305f078"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a8a73aa488adc7a32673037230305f078">FP_BLS461_equals</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:a8a73aa488adc7a32673037230305f078"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#a8a73aa488adc7a32673037230305f078">More...</a><br /></td></tr>
<tr class="separator:a8a73aa488adc7a32673037230305f078"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aca935edaf3009975fc73ca5ca4dc38a7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#aca935edaf3009975fc73ca5ca4dc38a7">FP_BLS461_cswap</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, int s)</td></tr>
<tr class="memdesc:aca935edaf3009975fc73ca5ca4dc38a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#aca935edaf3009975fc73ca5ca4dc38a7">More...</a><br /></td></tr>
<tr class="separator:aca935edaf3009975fc73ca5ca4dc38a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a30d9eb6a867aec9f82aad6e73f436023"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a30d9eb6a867aec9f82aad6e73f436023">FP_BLS461_cmove</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, int s)</td></tr>
<tr class="memdesc:a30d9eb6a867aec9f82aad6e73f436023"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#a30d9eb6a867aec9f82aad6e73f436023">More...</a><br /></td></tr>
<tr class="separator:a30d9eb6a867aec9f82aad6e73f436023"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad33f383fbd5c1db355801160e3387f53"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ad33f383fbd5c1db355801160e3387f53">FP_BLS461_nres</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> x)</td></tr>
<tr class="memdesc:ad33f383fbd5c1db355801160e3387f53"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#ad33f383fbd5c1db355801160e3387f53">More...</a><br /></td></tr>
<tr class="separator:ad33f383fbd5c1db355801160e3387f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab36ba1b9231b11a117e21ba48ab349a3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ab36ba1b9231b11a117e21ba48ab349a3">FP_BLS461_redc</a> (<a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:ab36ba1b9231b11a117e21ba48ab349a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#ab36ba1b9231b11a117e21ba48ab349a3">More...</a><br /></td></tr>
<tr class="separator:ab36ba1b9231b11a117e21ba48ab349a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afce3bddb48d55adfe4baf4a31e4c1cf1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#afce3bddb48d55adfe4baf4a31e4c1cf1">FP_BLS461_one</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:afce3bddb48d55adfe4baf4a31e4c1cf1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#afce3bddb48d55adfe4baf4a31e4c1cf1">More...</a><br /></td></tr>
<tr class="separator:afce3bddb48d55adfe4baf4a31e4c1cf1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5f98383b938cd3daa36b8bdc83fd5ee8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a5f98383b938cd3daa36b8bdc83fd5ee8">FP_BLS461_mod</a> (<a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> r, <a class="el" href="big__464__60_8h.html#a481adc539e2fcd4ef328bc0a4d3a4b74">DBIG_464_60</a> d)</td></tr>
<tr class="memdesc:a5f98383b938cd3daa36b8bdc83fd5ee8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#a5f98383b938cd3daa36b8bdc83fd5ee8">More...</a><br /></td></tr>
<tr class="separator:a5f98383b938cd3daa36b8bdc83fd5ee8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b00a203412c6263971bf511b37fbe49"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a4b00a203412c6263971bf511b37fbe49">FP_BLS461_mul</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *z)</td></tr>
<tr class="memdesc:a4b00a203412c6263971bf511b37fbe49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#a4b00a203412c6263971bf511b37fbe49">More...</a><br /></td></tr>
<tr class="separator:a4b00a203412c6263971bf511b37fbe49"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1a25c548af2e364f2de37a8797b3c9e2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a1a25c548af2e364f2de37a8797b3c9e2">FP_BLS461_imul</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, int i)</td></tr>
<tr class="memdesc:a1a25c548af2e364f2de37a8797b3c9e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#a1a25c548af2e364f2de37a8797b3c9e2">More...</a><br /></td></tr>
<tr class="separator:a1a25c548af2e364f2de37a8797b3c9e2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab7ce4a086055c921a8d98dd5e95ab1e7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ab7ce4a086055c921a8d98dd5e95ab1e7">FP_BLS461_sqr</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:ab7ce4a086055c921a8d98dd5e95ab1e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#ab7ce4a086055c921a8d98dd5e95ab1e7">More...</a><br /></td></tr>
<tr class="separator:ab7ce4a086055c921a8d98dd5e95ab1e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac3b3310c9cb94fe8e3f579702018f4e7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ac3b3310c9cb94fe8e3f579702018f4e7">FP_BLS461_add</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *z)</td></tr>
<tr class="memdesc:ac3b3310c9cb94fe8e3f579702018f4e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#ac3b3310c9cb94fe8e3f579702018f4e7">More...</a><br /></td></tr>
<tr class="separator:ac3b3310c9cb94fe8e3f579702018f4e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3ecf7b2538225d46b57078d9c37fa2b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a3ecf7b2538225d46b57078d9c37fa2b5">FP_BLS461_sub</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *z)</td></tr>
<tr class="memdesc:a3ecf7b2538225d46b57078d9c37fa2b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#a3ecf7b2538225d46b57078d9c37fa2b5">More...</a><br /></td></tr>
<tr class="separator:a3ecf7b2538225d46b57078d9c37fa2b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afcfff9cb8862cd67140c8045a87ef848"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#afcfff9cb8862cd67140c8045a87ef848">FP_BLS461_div2</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:afcfff9cb8862cd67140c8045a87ef848"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#afcfff9cb8862cd67140c8045a87ef848">More...</a><br /></td></tr>
<tr class="separator:afcfff9cb8862cd67140c8045a87ef848"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3340ca742d8f677bd03d87e53a0fa718"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a3340ca742d8f677bd03d87e53a0fa718">FP_BLS461_pow</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y, <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> z)</td></tr>
<tr class="memdesc:a3340ca742d8f677bd03d87e53a0fa718"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#a3340ca742d8f677bd03d87e53a0fa718">More...</a><br /></td></tr>
<tr class="separator:a3340ca742d8f677bd03d87e53a0fa718"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8586f293579e69f08e51daef8ee65e7f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a8586f293579e69f08e51daef8ee65e7f">FP_BLS461_sqrt</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:a8586f293579e69f08e51daef8ee65e7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#a8586f293579e69f08e51daef8ee65e7f">More...</a><br /></td></tr>
<tr class="separator:a8586f293579e69f08e51daef8ee65e7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4b71d1090634add18c342d1f4fe5f640"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a4b71d1090634add18c342d1f4fe5f640">FP_BLS461_neg</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:a4b71d1090634add18c342d1f4fe5f640"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a4b71d1090634add18c342d1f4fe5f640">More...</a><br /></td></tr>
<tr class="separator:a4b71d1090634add18c342d1f4fe5f640"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae90eace2d971197ea54022cf78f200b0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ae90eace2d971197ea54022cf78f200b0">FP_BLS461_output</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:ae90eace2d971197ea54022cf78f200b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#ae90eace2d971197ea54022cf78f200b0">More...</a><br /></td></tr>
<tr class="separator:ae90eace2d971197ea54022cf78f200b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a05301c77c8125e2adb29d1c0087b6c9a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a05301c77c8125e2adb29d1c0087b6c9a">FP_BLS461_rawoutput</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:a05301c77c8125e2adb29d1c0087b6c9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#a05301c77c8125e2adb29d1c0087b6c9a">More...</a><br /></td></tr>
<tr class="separator:a05301c77c8125e2adb29d1c0087b6c9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab73c77e621ba77cb97bf0e95df2ba821"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#ab73c77e621ba77cb97bf0e95df2ba821">FP_BLS461_reduce</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:ab73c77e621ba77cb97bf0e95df2ba821"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#ab73c77e621ba77cb97bf0e95df2ba821">More...</a><br /></td></tr>
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<tr class="memitem:a29f68d9f9caa9e0cdb6c09abaf9c7bc5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a29f68d9f9caa9e0cdb6c09abaf9c7bc5">FP_BLS461_norm</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:a29f68d9f9caa9e0cdb6c09abaf9c7bc5"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#a29f68d9f9caa9e0cdb6c09abaf9c7bc5">More...</a><br /></td></tr>
<tr class="separator:a29f68d9f9caa9e0cdb6c09abaf9c7bc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a206577d55bca62076126e4bce00bb9c9"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a206577d55bca62076126e4bce00bb9c9">FP_BLS461_qr</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x)</td></tr>
<tr class="memdesc:a206577d55bca62076126e4bce00bb9c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#a206577d55bca62076126e4bce00bb9c9">More...</a><br /></td></tr>
<tr class="separator:a206577d55bca62076126e4bce00bb9c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6bd170924b30040ef3340dcc209bc0ac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a6bd170924b30040ef3340dcc209bc0ac">FP_BLS461_inv</a> (<a class="el" href="structFP__BLS461.html">FP_BLS461</a> *x, <a class="el" href="structFP__BLS461.html">FP_BLS461</a> *y)</td></tr>
<tr class="memdesc:a6bd170924b30040ef3340dcc209bc0ac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a6bd170924b30040ef3340dcc209bc0ac">More...</a><br /></td></tr>
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</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:a2cce259ab612ae091e8d4a4068ad715b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a2cce259ab612ae091e8d4a4068ad715b">Modulus_BLS461</a></td></tr>
<tr class="separator:a2cce259ab612ae091e8d4a4068ad715b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a77218cd3b7ce3c14d809a41b66a61373"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BLS461_8h.html#a77218cd3b7ce3c14d809a41b66a61373">R2modp_BLS461</a></td></tr>
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<tr class="memitem:ae20f453254f02293ffdd404bf895dd96"><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__BLS461_8h.html#ae20f453254f02293ffdd404bf895dd96">MConst_BLS461</a></td></tr>
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</table>
<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="ae5a279aea2a63985201547f8f1e03189"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae5a279aea2a63985201547f8f1e03189">&#9670;&nbsp;</a></span>FEXCESS_BLS461</h2>
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<td class="memname">#define FEXCESS_BLS461&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_BLS461)-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="ad93124500a75248e34c6eb971470f903"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad93124500a75248e34c6eb971470f903">&#9670;&nbsp;</a></span>MODBITS_BLS461</h2>
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<td class="memname">#define MODBITS_BLS461&#160;&#160;&#160;MBITS_BLS461</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="a089863b6a95422baa694f5e99494bb8c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a089863b6a95422baa694f5e99494bb8c">&#9670;&nbsp;</a></span>OMASK_BLS461</h2>
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<td class="memname">#define OMASK_BLS461&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__BLS461_8h.html#af7537c391cd00befeef84c4170fd7be6">TBITS_BLS461</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="af7537c391cd00befeef84c4170fd7be6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af7537c391cd00befeef84c4170fd7be6">&#9670;&nbsp;</a></span>TBITS_BLS461</h2>
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<td class="memname">#define TBITS_BLS461&#160;&#160;&#160;(MBITS_BLS461%<a class="el" href="config__big__464__60_8h.html#ae5374aa4dec809acb96ce87548f2a903">BASEBITS_464_60</a>)</td>
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<p>Number of active bits in top word </p>
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<a id="a5f7acaaf3b7abf2bffd8739ca0695758"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5f7acaaf3b7abf2bffd8739ca0695758">&#9670;&nbsp;</a></span>TMASK_BLS461</h2>
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<td class="memname">#define TMASK_BLS461&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__BLS461_8h.html#af7537c391cd00befeef84c4170fd7be6">TBITS_BLS461</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="ac3b3310c9cb94fe8e3f579702018f4e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac3b3310c9cb94fe8e3f579702018f4e7">&#9670;&nbsp;</a></span>FP_BLS461_add()</h2>
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<td class="memname">void FP_BLS461_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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>
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</dd>
</dl>
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<a id="a30d9eb6a867aec9f82aad6e73f436023"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a30d9eb6a867aec9f82aad6e73f436023">&#9670;&nbsp;</a></span>FP_BLS461_cmove()</h2>
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<td class="memname">void FP_BLS461_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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 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="aa8b85cced1b0c966308f95e6d6281f3b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8b85cced1b0c966308f95e6d6281f3b">&#9670;&nbsp;</a></span>FP_BLS461_copy()</h2>
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<td class="memname">void FP_BLS461_copy </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</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">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>
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</dd>
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<a id="aca935edaf3009975fc73ca5ca4dc38a7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aca935edaf3009975fc73ca5ca4dc38a7">&#9670;&nbsp;</a></span>FP_BLS461_cswap()</h2>
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<td class="memname">void FP_BLS461_cswap </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<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>
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<a id="afcfff9cb8862cd67140c8045a87ef848"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afcfff9cb8862cd67140c8045a87ef848">&#9670;&nbsp;</a></span>FP_BLS461_div2()</h2>
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<td class="memname">void FP_BLS461_div2 </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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>
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<a id="a8a73aa488adc7a32673037230305f078"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8a73aa488adc7a32673037230305f078">&#9670;&nbsp;</a></span>FP_BLS461_equals()</h2>
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<td class="memname">int FP_BLS461_equals </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<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="a1a25c548af2e364f2de37a8797b3c9e2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1a25c548af2e364f2de37a8797b3c9e2">&#9670;&nbsp;</a></span>FP_BLS461_imul()</h2>
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<td class="memname">void FP_BLS461_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a6bd170924b30040ef3340dcc209bc0ac"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a6bd170924b30040ef3340dcc209bc0ac">&#9670;&nbsp;</a></span>FP_BLS461_inv()</h2>
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<td class="memname">void FP_BLS461_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a3807d6395d796f092fce0cf63ca72790"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3807d6395d796f092fce0cf63ca72790">&#9670;&nbsp;</a></span>FP_BLS461_iszilch()</h2>
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<td class="memname">int FP_BLS461_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="a5f98383b938cd3daa36b8bdc83fd5ee8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5f98383b938cd3daa36b8bdc83fd5ee8">&#9670;&nbsp;</a></span>FP_BLS461_mod()</h2>
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<td class="memname">void FP_BLS461_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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__464__60_8h.html#a481adc539e2fcd4ef328bc0a4d3a4b74">DBIG_464_60</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="a4b00a203412c6263971bf511b37fbe49"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b00a203412c6263971bf511b37fbe49">&#9670;&nbsp;</a></span>FP_BLS461_mul()</h2>
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<td class="memname">void FP_BLS461_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a4b71d1090634add18c342d1f4fe5f640"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a4b71d1090634add18c342d1f4fe5f640">&#9670;&nbsp;</a></span>FP_BLS461_neg()</h2>
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<td class="memname">void FP_BLS461_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a29f68d9f9caa9e0cdb6c09abaf9c7bc5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a29f68d9f9caa9e0cdb6c09abaf9c7bc5">&#9670;&nbsp;</a></span>FP_BLS461_norm()</h2>
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<td class="memname">void FP_BLS461_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad33f383fbd5c1db355801160e3387f53">&#9670;&nbsp;</a></span>FP_BLS461_nres()</h2>
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<td class="memname">void FP_BLS461_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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="afce3bddb48d55adfe4baf4a31e4c1cf1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afce3bddb48d55adfe4baf4a31e4c1cf1">&#9670;&nbsp;</a></span>FP_BLS461_one()</h2>
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<td class="memname">void FP_BLS461_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="ae90eace2d971197ea54022cf78f200b0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae90eace2d971197ea54022cf78f200b0">&#9670;&nbsp;</a></span>FP_BLS461_output()</h2>
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<td class="memname">void FP_BLS461_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a3340ca742d8f677bd03d87e53a0fa718">&#9670;&nbsp;</a></span>FP_BLS461_pow()</h2>
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<td class="memname">void FP_BLS461_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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="a206577d55bca62076126e4bce00bb9c9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a206577d55bca62076126e4bce00bb9c9">&#9670;&nbsp;</a></span>FP_BLS461_qr()</h2>
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<td class="memname">int FP_BLS461_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="a05301c77c8125e2adb29d1c0087b6c9a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a05301c77c8125e2adb29d1c0087b6c9a">&#9670;&nbsp;</a></span>FP_BLS461_rawoutput()</h2>
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<td class="memname">void FP_BLS461_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="ac56ffbc5e030aeb3c39441cdeec76e62"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac56ffbc5e030aeb3c39441cdeec76e62">&#9670;&nbsp;</a></span>FP_BLS461_rcopy()</h2>
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<td class="memname">void FP_BLS461_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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="ab36ba1b9231b11a117e21ba48ab349a3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab36ba1b9231b11a117e21ba48ab349a3">&#9670;&nbsp;</a></span>FP_BLS461_redc()</h2>
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<td class="memname">void FP_BLS461_redc </td>
<td>(</td>
<td class="paramtype"><a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</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__BLS461.html">FP_BLS461</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="ab73c77e621ba77cb97bf0e95df2ba821"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab73c77e621ba77cb97bf0e95df2ba821">&#9670;&nbsp;</a></span>FP_BLS461_reduce()</h2>
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<td class="memname">void FP_BLS461_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="ab7ce4a086055c921a8d98dd5e95ab1e7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab7ce4a086055c921a8d98dd5e95ab1e7">&#9670;&nbsp;</a></span>FP_BLS461_sqr()</h2>
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<td class="memname">void FP_BLS461_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a8586f293579e69f08e51daef8ee65e7f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8586f293579e69f08e51daef8ee65e7f">&#9670;&nbsp;</a></span>FP_BLS461_sqrt()</h2>
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<td class="memname">void FP_BLS461_sqrt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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__BLS461.html">FP_BLS461</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="a3ecf7b2538225d46b57078d9c37fa2b5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3ecf7b2538225d46b57078d9c37fa2b5">&#9670;&nbsp;</a></span>FP_BLS461_sub()</h2>
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<td class="memname">void FP_BLS461_sub </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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="#a3f92b884f7b12261cf383cb17a584d4c">&#9670;&nbsp;</a></span>FP_BLS461_zero()</h2>
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<td class="memname">void FP_BLS461_zero </td>
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<td class="paramtype"><a class="el" href="structFP__BLS461.html">FP_BLS461</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ae20f453254f02293ffdd404bf895dd96">&#9670;&nbsp;</a></span>MConst_BLS461</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_BLS461</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="#a2cce259ab612ae091e8d4a4068ad715b">&#9670;&nbsp;</a></span>Modulus_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> Modulus_BLS461</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="#a77218cd3b7ce3c14d809a41b66a61373">&#9670;&nbsp;</a></span>R2modp_BLS461</h2>
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<td class="memname">const <a class="el" href="big__464__60_8h.html#a170cff556211f14df9c4ad2ad753dc93">BIG_464_60</a> R2modp_BLS461</td>
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<p>Montgomery constant </p>
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