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<a href="#nested-classes">Data Structures</a> &#124;
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<div class="title">fp_BRAINPOOL.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_BRAINPOOL.h&quot;</code><br />
</div>
<p><a href="fp__BRAINPOOL_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__BRAINPOOL.html">FP_BRAINPOOL</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">FP Structure - quadratic extension field. <a href="structFP__BRAINPOOL.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:a686c96b62c8d51c60559b96f9afed7b6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a686c96b62c8d51c60559b96f9afed7b6">MODBITS_BRAINPOOL</a>&#160;&#160;&#160;MBITS_BRAINPOOL</td></tr>
<tr class="separator:a686c96b62c8d51c60559b96f9afed7b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0664fa3b35834728db575a2339eec757"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a0664fa3b35834728db575a2339eec757">TBITS_BRAINPOOL</a>&#160;&#160;&#160;(MBITS_BRAINPOOL%<a class="el" href="config__big__256__56_8h.html#ac6cb0299279eb5c9a07bccfd297f1b40">BASEBITS_256_56</a>)</td></tr>
<tr class="separator:a0664fa3b35834728db575a2339eec757"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a52a8b34dff4967d5777cf5d2a4fa1bf9"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a52a8b34dff4967d5777cf5d2a4fa1bf9">TMASK_BRAINPOOL</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__BRAINPOOL_8h.html#a0664fa3b35834728db575a2339eec757">TBITS_BRAINPOOL</a>)-1)</td></tr>
<tr class="separator:a52a8b34dff4967d5777cf5d2a4fa1bf9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaeee0ee06a9694a4ab69237ccc2a250e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#aaeee0ee06a9694a4ab69237ccc2a250e">FEXCESS_BRAINPOOL</a>&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_BRAINPOOL)-1)</td></tr>
<tr class="separator:aaeee0ee06a9694a4ab69237ccc2a250e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7cdc9fc43cdefb2debb0f5dbb962dad0"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a7cdc9fc43cdefb2debb0f5dbb962dad0">OMASK_BRAINPOOL</a>&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__BRAINPOOL_8h.html#a0664fa3b35834728db575a2339eec757">TBITS_BRAINPOOL</a>))</td></tr>
<tr class="separator:a7cdc9fc43cdefb2debb0f5dbb962dad0"><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:abdb2eeef38fba738de672751a1c98731"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#abdb2eeef38fba738de672751a1c98731">FP_BRAINPOOL_iszilch</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:abdb2eeef38fba738de672751a1c98731"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP equal to zero mod Modulus. <a href="#abdb2eeef38fba738de672751a1c98731">More...</a><br /></td></tr>
<tr class="separator:abdb2eeef38fba738de672751a1c98731"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae2e6db13221f80cad3e9b1892d7e76e4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#ae2e6db13221f80cad3e9b1892d7e76e4">FP_BRAINPOOL_zero</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:ae2e6db13221f80cad3e9b1892d7e76e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set FP to zero. <a href="#ae2e6db13221f80cad3e9b1892d7e76e4">More...</a><br /></td></tr>
<tr class="separator:ae2e6db13221f80cad3e9b1892d7e76e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0e82c0f70338535e86af2fe015eace0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a0e82c0f70338535e86af2fe015eace0f">FP_BRAINPOOL_copy</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:a0e82c0f70338535e86af2fe015eace0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy an FP. <a href="#a0e82c0f70338535e86af2fe015eace0f">More...</a><br /></td></tr>
<tr class="separator:a0e82c0f70338535e86af2fe015eace0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1a548c796511e9a1768c5d717f53c686"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a1a548c796511e9a1768c5d717f53c686">FP_BRAINPOOL_rcopy</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:a1a548c796511e9a1768c5d717f53c686"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy from ROM to an FP. <a href="#a1a548c796511e9a1768c5d717f53c686">More...</a><br /></td></tr>
<tr class="separator:a1a548c796511e9a1768c5d717f53c686"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a508457244409c515ca69a260715898d8"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a508457244409c515ca69a260715898d8">FP_BRAINPOOL_equals</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a508457244409c515ca69a260715898d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compares two FPs. <a href="#a508457244409c515ca69a260715898d8">More...</a><br /></td></tr>
<tr class="separator:a508457244409c515ca69a260715898d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a17ac2219b6a474957db9a2a1ed710c6b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a17ac2219b6a474957db9a2a1ed710c6b">FP_BRAINPOOL_cswap</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, int s)</td></tr>
<tr class="memdesc:a17ac2219b6a474957db9a2a1ed710c6b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional constant time swap of two FP numbers. <a href="#a17ac2219b6a474957db9a2a1ed710c6b">More...</a><br /></td></tr>
<tr class="separator:a17ac2219b6a474957db9a2a1ed710c6b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a66fb064d461c21138135d2e04ca7296b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a66fb064d461c21138135d2e04ca7296b">FP_BRAINPOOL_cmove</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, int s)</td></tr>
<tr class="memdesc:a66fb064d461c21138135d2e04ca7296b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Conditional copy of FP number. <a href="#a66fb064d461c21138135d2e04ca7296b">More...</a><br /></td></tr>
<tr class="separator:a66fb064d461c21138135d2e04ca7296b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac1d1da6e9dd00be1c8c1482349fdf013"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#ac1d1da6e9dd00be1c8c1482349fdf013">FP_BRAINPOOL_nres</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x)</td></tr>
<tr class="memdesc:ac1d1da6e9dd00be1c8c1482349fdf013"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from BIG integer to residue form mod Modulus. <a href="#ac1d1da6e9dd00be1c8c1482349fdf013">More...</a><br /></td></tr>
<tr class="separator:ac1d1da6e9dd00be1c8c1482349fdf013"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a924477af94fe955bb0ed8c1942a09df1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a924477af94fe955bb0ed8c1942a09df1">FP_BRAINPOOL_redc</a> (<a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a924477af94fe955bb0ed8c1942a09df1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts from residue form back to BIG integer form. <a href="#a924477af94fe955bb0ed8c1942a09df1">More...</a><br /></td></tr>
<tr class="separator:a924477af94fe955bb0ed8c1942a09df1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae6957dfd2c6cd00e13faa2fac2fcf721"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#ae6957dfd2c6cd00e13faa2fac2fcf721">FP_BRAINPOOL_one</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:ae6957dfd2c6cd00e13faa2fac2fcf721"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sets FP to representation of unity in residue form. <a href="#ae6957dfd2c6cd00e13faa2fac2fcf721">More...</a><br /></td></tr>
<tr class="separator:ae6957dfd2c6cd00e13faa2fac2fcf721"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a08c045c26a3fad30306379be2eaa5c5d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a08c045c26a3fad30306379be2eaa5c5d">FP_BRAINPOOL_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:a08c045c26a3fad30306379be2eaa5c5d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces DBIG to BIG exploiting special form of the modulus. <a href="#a08c045c26a3fad30306379be2eaa5c5d">More...</a><br /></td></tr>
<tr class="separator:a08c045c26a3fad30306379be2eaa5c5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a84521f0861d63d090948347b515f6389"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a84521f0861d63d090948347b515f6389">FP_BRAINPOOL_mul</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *z)</td></tr>
<tr class="memdesc:a84521f0861d63d090948347b515f6389"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of two FPs, mod Modulus. <a href="#a84521f0861d63d090948347b515f6389">More...</a><br /></td></tr>
<tr class="separator:a84521f0861d63d090948347b515f6389"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af01528fb13a21768bd41eedee5f8dd14"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#af01528fb13a21768bd41eedee5f8dd14">FP_BRAINPOOL_imul</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, int i)</td></tr>
<tr class="memdesc:af01528fb13a21768bd41eedee5f8dd14"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular multiplication of an FP, by a small integer, mod Modulus. <a href="#af01528fb13a21768bd41eedee5f8dd14">More...</a><br /></td></tr>
<tr class="separator:af01528fb13a21768bd41eedee5f8dd14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af24411e6fa3db9ef84137a6796cb698c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#af24411e6fa3db9ef84137a6796cb698c">FP_BRAINPOOL_sqr</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:af24411e6fa3db9ef84137a6796cb698c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular squaring of an FP, mod Modulus. <a href="#af24411e6fa3db9ef84137a6796cb698c">More...</a><br /></td></tr>
<tr class="separator:af24411e6fa3db9ef84137a6796cb698c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7825698a39d41dd754ddc49c4e7f59d3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a7825698a39d41dd754ddc49c4e7f59d3">FP_BRAINPOOL_add</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *z)</td></tr>
<tr class="memdesc:a7825698a39d41dd754ddc49c4e7f59d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular addition of two FPs, mod Modulus. <a href="#a7825698a39d41dd754ddc49c4e7f59d3">More...</a><br /></td></tr>
<tr class="separator:a7825698a39d41dd754ddc49c4e7f59d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af8bf2d25eb06fb72f0ab17f3105c258d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#af8bf2d25eb06fb72f0ab17f3105c258d">FP_BRAINPOOL_sub</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *z)</td></tr>
<tr class="memdesc:af8bf2d25eb06fb72f0ab17f3105c258d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular subtraction of two FPs, mod Modulus. <a href="#af8bf2d25eb06fb72f0ab17f3105c258d">More...</a><br /></td></tr>
<tr class="separator:af8bf2d25eb06fb72f0ab17f3105c258d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3e90a7a42dcb5efddc877cf52e5bb686"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a3e90a7a42dcb5efddc877cf52e5bb686">FP_BRAINPOOL_div2</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a3e90a7a42dcb5efddc877cf52e5bb686"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular division by 2 of an FP, mod Modulus. <a href="#a3e90a7a42dcb5efddc877cf52e5bb686">More...</a><br /></td></tr>
<tr class="separator:a3e90a7a42dcb5efddc877cf52e5bb686"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adf7b68218e12ace9bd71659c8bce6116"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#adf7b68218e12ace9bd71659c8bce6116">FP_BRAINPOOL_pow</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y, <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> z)</td></tr>
<tr class="memdesc:adf7b68218e12ace9bd71659c8bce6116"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular exponentiation of an FP, to the power of a BIG, mod Modulus. <a href="#adf7b68218e12ace9bd71659c8bce6116">More...</a><br /></td></tr>
<tr class="separator:adf7b68218e12ace9bd71659c8bce6116"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0b0942fe5d0d2631cab444cc142246d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a0b0942fe5d0d2631cab444cc142246d9">FP_BRAINPOOL_sqrt</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a0b0942fe5d0d2631cab444cc142246d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast Modular square root of a an FP, mod Modulus. <a href="#a0b0942fe5d0d2631cab444cc142246d9">More...</a><br /></td></tr>
<tr class="separator:a0b0942fe5d0d2631cab444cc142246d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a536272569a84bc33f60f20c87ae9a56d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a536272569a84bc33f60f20c87ae9a56d">FP_BRAINPOOL_neg</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a536272569a84bc33f60f20c87ae9a56d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular negation of a an FP, mod Modulus. <a href="#a536272569a84bc33f60f20c87ae9a56d">More...</a><br /></td></tr>
<tr class="separator:a536272569a84bc33f60f20c87ae9a56d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0781b4d86c310e3eb17ff8bedee1aba6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a0781b4d86c310e3eb17ff8bedee1aba6">FP_BRAINPOOL_output</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:a0781b4d86c310e3eb17ff8bedee1aba6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console. <a href="#a0781b4d86c310e3eb17ff8bedee1aba6">More...</a><br /></td></tr>
<tr class="separator:a0781b4d86c310e3eb17ff8bedee1aba6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aca97fb8c8f62cd3d48a1ad895a83d654"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#aca97fb8c8f62cd3d48a1ad895a83d654">FP_BRAINPOOL_rawoutput</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:aca97fb8c8f62cd3d48a1ad895a83d654"><td class="mdescLeft">&#160;</td><td class="mdescRight">Outputs an FP number to the console, in raw form. <a href="#aca97fb8c8f62cd3d48a1ad895a83d654">More...</a><br /></td></tr>
<tr class="separator:aca97fb8c8f62cd3d48a1ad895a83d654"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a05c19798491252536415f0c00af11e79"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a05c19798491252536415f0c00af11e79">FP_BRAINPOOL_reduce</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:a05c19798491252536415f0c00af11e79"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reduces possibly unreduced FP mod Modulus. <a href="#a05c19798491252536415f0c00af11e79">More...</a><br /></td></tr>
<tr class="separator:a05c19798491252536415f0c00af11e79"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c2ab2e3864a3f47e9cdd5630c01d3fe"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a3c2ab2e3864a3f47e9cdd5630c01d3fe">FP_BRAINPOOL_norm</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:a3c2ab2e3864a3f47e9cdd5630c01d3fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">normalizes FP <a href="#a3c2ab2e3864a3f47e9cdd5630c01d3fe">More...</a><br /></td></tr>
<tr class="separator:a3c2ab2e3864a3f47e9cdd5630c01d3fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a45d89b9cfdfdc2da4ca25fcd071b4ea5"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a45d89b9cfdfdc2da4ca25fcd071b4ea5">FP_BRAINPOOL_qr</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x)</td></tr>
<tr class="memdesc:a45d89b9cfdfdc2da4ca25fcd071b4ea5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Tests for FP a quadratic residue mod Modulus. <a href="#a45d89b9cfdfdc2da4ca25fcd071b4ea5">More...</a><br /></td></tr>
<tr class="separator:a45d89b9cfdfdc2da4ca25fcd071b4ea5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5271a5b830e8db702e7bb159c000727d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="fp__BRAINPOOL_8h.html#a5271a5b830e8db702e7bb159c000727d">FP_BRAINPOOL_inv</a> (<a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *x, <a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *y)</td></tr>
<tr class="memdesc:a5271a5b830e8db702e7bb159c000727d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Modular inverse of a an FP, mod Modulus. <a href="#a5271a5b830e8db702e7bb159c000727d">More...</a><br /></td></tr>
<tr class="separator:a5271a5b830e8db702e7bb159c000727d"><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:a681af805dc764d138ee806a4e9ca2e9b"><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__BRAINPOOL_8h.html#a681af805dc764d138ee806a4e9ca2e9b">Modulus_BRAINPOOL</a></td></tr>
<tr class="separator:a681af805dc764d138ee806a4e9ca2e9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeb0588688102a68807460a3fa382dd93"><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__BRAINPOOL_8h.html#aeb0588688102a68807460a3fa382dd93">R2modp_BRAINPOOL</a></td></tr>
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<tr class="memitem:a7bf3a838c102bdad736f1650c0f91be5"><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__BRAINPOOL_8h.html#a7bf3a838c102bdad736f1650c0f91be5">MConst_BRAINPOOL</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="aaeee0ee06a9694a4ab69237ccc2a250e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aaeee0ee06a9694a4ab69237ccc2a250e">&#9670;&nbsp;</a></span>FEXCESS_BRAINPOOL</h2>
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<td class="memname">#define FEXCESS_BRAINPOOL&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#af31fcb3b74c4bcf6507f62d801277492">sign32</a>)1&lt;&lt;MAXXES_BRAINPOOL)-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="a686c96b62c8d51c60559b96f9afed7b6"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a686c96b62c8d51c60559b96f9afed7b6">&#9670;&nbsp;</a></span>MODBITS_BRAINPOOL</h2>
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<td class="memname">#define MODBITS_BRAINPOOL&#160;&#160;&#160;MBITS_BRAINPOOL</td>
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<p>Number of bits in Modulus for selected curve </p>
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<a id="a7cdc9fc43cdefb2debb0f5dbb962dad0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7cdc9fc43cdefb2debb0f5dbb962dad0">&#9670;&nbsp;</a></span>OMASK_BRAINPOOL</h2>
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<td class="memname">#define OMASK_BRAINPOOL&#160;&#160;&#160;(-((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)(1)&lt;&lt;<a class="el" href="fp__BRAINPOOL_8h.html#a0664fa3b35834728db575a2339eec757">TBITS_BRAINPOOL</a>))</td>
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<p>for masking out overflow bits </p>
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<a id="a0664fa3b35834728db575a2339eec757"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0664fa3b35834728db575a2339eec757">&#9670;&nbsp;</a></span>TBITS_BRAINPOOL</h2>
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<td class="memname">#define TBITS_BRAINPOOL&#160;&#160;&#160;(MBITS_BRAINPOOL%<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="a52a8b34dff4967d5777cf5d2a4fa1bf9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a52a8b34dff4967d5777cf5d2a4fa1bf9">&#9670;&nbsp;</a></span>TMASK_BRAINPOOL</h2>
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<td class="memname">#define TMASK_BRAINPOOL&#160;&#160;&#160;(((<a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a>)1&lt;&lt;<a class="el" href="fp__BRAINPOOL_8h.html#a0664fa3b35834728db575a2339eec757">TBITS_BRAINPOOL</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="a7825698a39d41dd754ddc49c4e7f59d3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7825698a39d41dd754ddc49c4e7f59d3">&#9670;&nbsp;</a></span>FP_BRAINPOOL_add()</h2>
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<td class="memname">void FP_BRAINPOOL_add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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>
<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>
</div>
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<a id="a66fb064d461c21138135d2e04ca7296b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a66fb064d461c21138135d2e04ca7296b">&#9670;&nbsp;</a></span>FP_BRAINPOOL_cmove()</h2>
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<td class="memname">void FP_BRAINPOOL_cmove </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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="a0e82c0f70338535e86af2fe015eace0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0e82c0f70338535e86af2fe015eace0f">&#9670;&nbsp;</a></span>FP_BRAINPOOL_copy()</h2>
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<td class="memname">void FP_BRAINPOOL_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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="a17ac2219b6a474957db9a2a1ed710c6b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a17ac2219b6a474957db9a2a1ed710c6b">&#9670;&nbsp;</a></span>FP_BRAINPOOL_cswap()</h2>
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<td class="memname">void FP_BRAINPOOL_cswap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>s</em>&#160;</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="a3e90a7a42dcb5efddc877cf52e5bb686"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3e90a7a42dcb5efddc877cf52e5bb686">&#9670;&nbsp;</a></span>FP_BRAINPOOL_div2()</h2>
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<td class="memname">void FP_BRAINPOOL_div2 </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<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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<h2 class="memtitle"><span class="permalink"><a href="#a508457244409c515ca69a260715898d8">&#9670;&nbsp;</a></span>FP_BRAINPOOL_equals()</h2>
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<td class="memname">int FP_BRAINPOOL_equals </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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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>
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<h2 class="memtitle"><span class="permalink"><a href="#af01528fb13a21768bd41eedee5f8dd14">&#9670;&nbsp;</a></span>FP_BRAINPOOL_imul()</h2>
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<td class="memname">void FP_BRAINPOOL_imul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<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>
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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 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>
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<h2 class="memtitle"><span class="permalink"><a href="#a5271a5b830e8db702e7bb159c000727d">&#9670;&nbsp;</a></span>FP_BRAINPOOL_inv()</h2>
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<td class="memname">void FP_BRAINPOOL_inv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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</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>
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<h2 class="memtitle"><span class="permalink"><a href="#abdb2eeef38fba738de672751a1c98731">&#9670;&nbsp;</a></span>FP_BRAINPOOL_iszilch()</h2>
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<td class="memname">int FP_BRAINPOOL_iszilch </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a08c045c26a3fad30306379be2eaa5c5d">&#9670;&nbsp;</a></span>FP_BRAINPOOL_mod()</h2>
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<td class="memname">void FP_BRAINPOOL_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>
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<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>
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<td></td>
<td>)</td>
<td></td><td></td>
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</table>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a84521f0861d63d090948347b515f6389">&#9670;&nbsp;</a></span>FP_BRAINPOOL_mul()</h2>
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<td class="memname">void FP_BRAINPOOL_mul </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>z</em>&#160;</td>
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<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a536272569a84bc33f60f20c87ae9a56d">&#9670;&nbsp;</a></span>FP_BRAINPOOL_neg()</h2>
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<td class="memname">void FP_BRAINPOOL_neg </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c2ab2e3864a3f47e9cdd5630c01d3fe">&#9670;&nbsp;</a></span>FP_BRAINPOOL_norm()</h2>
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<td class="memname">void FP_BRAINPOOL_norm </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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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 normalized </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac1d1da6e9dd00be1c8c1482349fdf013">&#9670;&nbsp;</a></span>FP_BRAINPOOL_nres()</h2>
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<td class="memname">void FP_BRAINPOOL_nres </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ae6957dfd2c6cd00e13faa2fac2fcf721">&#9670;&nbsp;</a></span>FP_BRAINPOOL_one()</h2>
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<td class="memname">void FP_BRAINPOOL_one </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a0781b4d86c310e3eb17ff8bedee1aba6">&#9670;&nbsp;</a></span>FP_BRAINPOOL_output()</h2>
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<td class="memname">void FP_BRAINPOOL_output </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
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<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="#adf7b68218e12ace9bd71659c8bce6116">&#9670;&nbsp;</a></span>FP_BRAINPOOL_pow()</h2>
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<td class="memname">void FP_BRAINPOOL_pow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a45d89b9cfdfdc2da4ca25fcd071b4ea5">&#9670;&nbsp;</a></span>FP_BRAINPOOL_qr()</h2>
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<td class="memname">int FP_BRAINPOOL_qr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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>
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<h2 class="memtitle"><span class="permalink"><a href="#aca97fb8c8f62cd3d48a1ad895a83d654">&#9670;&nbsp;</a></span>FP_BRAINPOOL_rawoutput()</h2>
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<td class="memname">void FP_BRAINPOOL_rawoutput </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a1a548c796511e9a1768c5d717f53c686">&#9670;&nbsp;</a></span>FP_BRAINPOOL_rcopy()</h2>
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<td class="memname">void FP_BRAINPOOL_rcopy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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>
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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>BIG to be copied from ROM </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a924477af94fe955bb0ed8c1942a09df1">&#9670;&nbsp;</a></span>FP_BRAINPOOL_redc()</h2>
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<td class="memname">void FP_BRAINPOOL_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__BRAINPOOL.html">FP_BRAINPOOL</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a05c19798491252536415f0c00af11e79">&#9670;&nbsp;</a></span>FP_BRAINPOOL_reduce()</h2>
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<td class="memname">void FP_BRAINPOOL_reduce </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em></td><td>)</td>
<td></td>
</tr>
</table>
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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 reduced mod Modulus </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af24411e6fa3db9ef84137a6796cb698c">&#9670;&nbsp;</a></span>FP_BRAINPOOL_sqr()</h2>
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<td class="memname">void FP_BRAINPOOL_sqr </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a0b0942fe5d0d2631cab444cc142246d9">&#9670;&nbsp;</a></span>FP_BRAINPOOL_sqrt()</h2>
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<td class="memname">void FP_BRAINPOOL_sqrt </td>
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<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</a> *&#160;</td>
<td class="paramname"><em>y</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 = sqrt(y) mod Modulus </td></tr>
<tr><td class="paramname">y</td><td>FP number, the number whose square root is calculated </td></tr>
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<a id="af8bf2d25eb06fb72f0ab17f3105c258d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af8bf2d25eb06fb72f0ab17f3105c258d">&#9670;&nbsp;</a></span>FP_BRAINPOOL_sub()</h2>
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<td class="memname">void FP_BRAINPOOL_sub </td>
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<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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__BRAINPOOL.html">FP_BRAINPOOL</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="#ae2e6db13221f80cad3e9b1892d7e76e4">&#9670;&nbsp;</a></span>FP_BRAINPOOL_zero()</h2>
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<td class="memname">void FP_BRAINPOOL_zero </td>
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<td class="paramtype"><a class="el" href="structFP__BRAINPOOL.html">FP_BRAINPOOL</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="a7bf3a838c102bdad736f1650c0f91be5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7bf3a838c102bdad736f1650c0f91be5">&#9670;&nbsp;</a></span>MConst_BRAINPOOL</h2>
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<td class="memname">const <a class="el" href="arch_8h.html#a0dd4b8ab353c587b22c6acb0809323aa">chunk</a> MConst_BRAINPOOL</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="#a681af805dc764d138ee806a4e9ca2e9b">&#9670;&nbsp;</a></span>Modulus_BRAINPOOL</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> Modulus_BRAINPOOL</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="#aeb0588688102a68807460a3fa382dd93">&#9670;&nbsp;</a></span>R2modp_BRAINPOOL</h2>
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<td class="memname">const <a class="el" href="big__256__56_8h.html#abea3e70a8a87f28329ed8e48af7bb244">BIG_256_56</a> R2modp_BRAINPOOL</td>
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<p>Montgomery constant </p>
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