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<div class="title">num_gmp_impl.h File Reference</div> </div>
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<div class="textblock"><code>#include <string.h></code><br />
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<code>#include <stdlib.h></code><br />
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<code>#include <gmp.h></code><br />
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<code>#include "<a class="el" href="secp256k1_2src_2util_8h_source.html">util.h</a>"</code><br />
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<code>#include "<a class="el" href="num_8h_source.html">num.h</a>"</code><br />
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</div>
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<p><a href="num__gmp__impl_8h_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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Macros</h2></td></tr>
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<tr class="memitem:af6e306e9cb6c96b80d5ebfd7abdbde0e"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#af6e306e9cb6c96b80d5ebfd7abdbde0e">secp256k1_num_sanity</a>(a)   do { } while(0)</td></tr>
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<tr class="separator:af6e306e9cb6c96b80d5ebfd7abdbde0e"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a8e164da794a6a512b0bce7a2339d35f9"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a8e164da794a6a512b0bce7a2339d35f9">secp256k1_num_copy</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a)</td></tr>
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<tr class="separator:a8e164da794a6a512b0bce7a2339d35f9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aada7ead84b86388284323f31b9d05bca"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#aada7ead84b86388284323f31b9d05bca">secp256k1_num_get_bin</a> (unsigned char *r, unsigned int rlen, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a)</td></tr>
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<tr class="separator:aada7ead84b86388284323f31b9d05bca"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4a7f500a93d330df44bbe3adda388868"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a4a7f500a93d330df44bbe3adda388868">secp256k1_num_set_bin</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const unsigned char *a, unsigned int alen)</td></tr>
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<tr class="separator:a4a7f500a93d330df44bbe3adda388868"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3f041b2b8c554b6cbd276467e5b8351e"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a3f041b2b8c554b6cbd276467e5b8351e">secp256k1_num_add_abs</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:a3f041b2b8c554b6cbd276467e5b8351e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab91615231aec0531471a43b9390421c1"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#ab91615231aec0531471a43b9390421c1">secp256k1_num_sub_abs</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:ab91615231aec0531471a43b9390421c1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af30b363582f76292c16da36d8240bbed"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#af30b363582f76292c16da36d8240bbed">secp256k1_num_mod</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *m)</td></tr>
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<tr class="separator:af30b363582f76292c16da36d8240bbed"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a96a66a341ddf203e7dbf85d1cca1c178"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a96a66a341ddf203e7dbf85d1cca1c178">secp256k1_num_mod_inverse</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *m)</td></tr>
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<tr class="separator:a96a66a341ddf203e7dbf85d1cca1c178"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad15ded36e7a6704a702666bd2fd5cbff"><td class="memItemLeft" align="right" valign="top">static int </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#ad15ded36e7a6704a702666bd2fd5cbff">secp256k1_num_is_zero</a> (const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a)</td></tr>
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<tr class="separator:ad15ded36e7a6704a702666bd2fd5cbff"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a15349a6540e199082bde2ce0466d82cb"><td class="memItemLeft" align="right" valign="top">static int </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a15349a6540e199082bde2ce0466d82cb">secp256k1_num_is_neg</a> (const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a)</td></tr>
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<tr class="separator:a15349a6540e199082bde2ce0466d82cb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2ede1c020471b52d634890089c5374be"><td class="memItemLeft" align="right" valign="top">static int </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a2ede1c020471b52d634890089c5374be">secp256k1_num_cmp</a> (const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:a2ede1c020471b52d634890089c5374be"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8763cac72f4a6760d12cb93897f468c5"><td class="memItemLeft" align="right" valign="top">static int </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a8763cac72f4a6760d12cb93897f468c5">secp256k1_num_eq</a> (const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:a8763cac72f4a6760d12cb93897f468c5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ade08e33c2964e9b6e5ca7160363b21df"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#ade08e33c2964e9b6e5ca7160363b21df">secp256k1_num_subadd</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b, int bneg)</td></tr>
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<tr class="separator:ade08e33c2964e9b6e5ca7160363b21df"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2a2407a291e6646a94ade2d5c90f961b"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a2a2407a291e6646a94ade2d5c90f961b">secp256k1_num_add</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:a2a2407a291e6646a94ade2d5c90f961b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad5ad0fd05f4f7d29d75f92fa540ede0a"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#ad5ad0fd05f4f7d29d75f92fa540ede0a">secp256k1_num_sub</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:ad5ad0fd05f4f7d29d75f92fa540ede0a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3a5b983d5028a690f4446c10f78c2978"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a3a5b983d5028a690f4446c10f78c2978">secp256k1_num_mul</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *a, const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *b)</td></tr>
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<tr class="separator:a3a5b983d5028a690f4446c10f78c2978"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adc4af999a060e6310b0fdeb99418b31c"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#adc4af999a060e6310b0fdeb99418b31c">secp256k1_num_shift</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r, int bits)</td></tr>
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<tr class="separator:adc4af999a060e6310b0fdeb99418b31c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a678834381238e96e24f63c317740df95"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="num__gmp__impl_8h.html#a678834381238e96e24f63c317740df95">secp256k1_num_negate</a> (<a class="el" href="structsecp256k1__num.html">secp256k1_num</a> *r)</td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
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<a id="af6e306e9cb6c96b80d5ebfd7abdbde0e"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af6e306e9cb6c96b80d5ebfd7abdbde0e">◆ </a></span>secp256k1_num_sanity</h2>
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<td class="memname">#define secp256k1_num_sanity</td>
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<td>(</td>
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<td class="paramtype"> </td>
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<td class="paramname">a</td><td>)</td>
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<td>   do { } while(0)</td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00022">22</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00197">secp256k1_num_add()</a>, <a class="el" href="num__gmp__impl_8h_source.html#l00081">secp256k1_num_mod()</a>, <a class="el" href="num__gmp__impl_8h_source.html#l00101">secp256k1_num_mod_inverse()</a>, <a class="el" href="num__gmp__impl_8h_source.html#l00209">secp256k1_num_mul()</a>, and <a class="el" href="num__gmp__impl_8h_source.html#l00203">secp256k1_num_sub()</a>.</p>
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<h2 class="groupheader">Function Documentation</h2>
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<a id="a2a2407a291e6646a94ade2d5c90f961b"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a2a2407a291e6646a94ade2d5c90f961b">◆ </a></span>secp256k1_num_add()</h2>
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<td class="memname">static void secp256k1_num_add </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<td class="paramname"><em>r</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const <a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<td class="paramname"><em>b</em> </td>
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<td>)</td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00197">197</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a3f041b2b8c554b6cbd276467e5b8351e">◆ </a></span>secp256k1_num_add_abs()</h2>
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<td class="paramtype"><a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00062">62</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00178">secp256k1_num_subadd()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2ede1c020471b52d634890089c5374be">◆ </a></span>secp256k1_num_cmp()</h2>
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<td class="memname">static int secp256k1_num_cmp </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00155">155</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00178">secp256k1_num_subadd()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8e164da794a6a512b0bce7a2339d35f9">◆ </a></span>secp256k1_num_copy()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00025">25</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8763cac72f4a6760d12cb93897f468c5">◆ </a></span>secp256k1_num_eq()</h2>
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<td class="memname">static int secp256k1_num_eq </td>
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<td>(</td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00165">165</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aada7ead84b86388284323f31b9d05bca">◆ </a></span>secp256k1_num_get_bin()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00029">29</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a15349a6540e199082bde2ce0466d82cb">◆ </a></span>secp256k1_num_is_neg()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00151">151</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad15ded36e7a6704a702666bd2fd5cbff">◆ </a></span>secp256k1_num_is_zero()</h2>
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<td class="memname">static int secp256k1_num_is_zero </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00147">147</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00165">secp256k1_num_eq()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#af30b363582f76292c16da36d8240bbed">◆ </a></span>secp256k1_num_mod()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00081">81</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a96a66a341ddf203e7dbf85d1cca1c178">◆ </a></span>secp256k1_num_mod_inverse()</h2>
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<p>mpn_gcdext computes: (G,S) = gcdext(U,V), where</p><ul>
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<li>G = gcd(U,V)</li>
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<li>G = U*S + V*T</li>
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<li>U has equal or more limbs than V, and V has no padding If we set U to be (a padded version of) a, and V = m: G = a*S + m*T G = a*S mod m Assuming G=1: S = 1/a mod m</li>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00101">101</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00209">209</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a678834381238e96e24f63c317740df95">◆ </a></span>secp256k1_num_negate()</h2>
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<td class="memname">static void secp256k1_num_negate </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00258">258</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4a7f500a93d330df44bbe3adda388868">◆ </a></span>secp256k1_num_set_bin()</h2>
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<td class="memname">static void secp256k1_num_set_bin </td>
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<td class="paramtype"><a class="el" href="structsecp256k1__num.html">secp256k1_num</a> * </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00045">45</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#adc4af999a060e6310b0fdeb99418b31c">◆ </a></span>secp256k1_num_shift()</h2>
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<td class="memname">static void secp256k1_num_shift </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00236">236</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad5ad0fd05f4f7d29d75f92fa540ede0a">◆ </a></span>secp256k1_num_sub()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00203">203</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab91615231aec0531471a43b9390421c1">◆ </a></span>secp256k1_num_sub_abs()</h2>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00071">71</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00081">secp256k1_num_mod()</a>, and <a class="el" href="num__gmp__impl_8h_source.html#l00178">secp256k1_num_subadd()</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ade08e33c2964e9b6e5ca7160363b21df">◆ </a></span>secp256k1_num_subadd()</h2>
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<td class="memname">static void secp256k1_num_subadd </td>
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<p class="definition">Definition at line <a class="el" href="num__gmp__impl_8h_source.html#l00178">178</a> of file <a class="el" href="num__gmp__impl_8h_source.html">num_gmp_impl.h</a>.</p>
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<p class="reference">Referenced by <a class="el" href="num__gmp__impl_8h_source.html#l00197">secp256k1_num_add()</a>, and <a class="el" href="num__gmp__impl_8h_source.html#l00203">secp256k1_num_sub()</a>.</p>
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