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<ul id="index">
  <li><a href="#NAME">NAME</a></li>
  <li><a href="#SYNOPSIS">SYNOPSIS</a></li>
  <li><a href="#DESCRIPTION">DESCRIPTION</a></li>
  <li><a href="#RETURN-VALUES">RETURN VALUES</a></li>
  <li><a href="#SEE-ALSO">SEE ALSO</a></li>
  <li><a href="#HISTORY">HISTORY</a></li>
  <li><a href="#COPYRIGHT">COPYRIGHT</a></li>
</ul>

<h1 id="NAME">NAME</h1>

<p>BN_mod_mul_reciprocal, BN_div_recp, BN_RECP_CTX_new, BN_RECP_CTX_free, BN_RECP_CTX_set - modular multiplication using reciprocal</p>

<h1 id="SYNOPSIS">SYNOPSIS</h1>

<pre><code> #include &lt;openssl/bn.h&gt;

 BN_RECP_CTX *BN_RECP_CTX_new(void);
 void BN_RECP_CTX_free(BN_RECP_CTX *recp);

 int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *m, BN_CTX *ctx);

 int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *a, BN_RECP_CTX *recp,
                 BN_CTX *ctx);

 int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
                           BN_RECP_CTX *recp, BN_CTX *ctx);</code></pre>

<h1 id="DESCRIPTION">DESCRIPTION</h1>

<p>BN_mod_mul_reciprocal() can be used to perform an efficient <a href="../man3/BN_mod_mul.html">BN_mod_mul(3)</a> operation when the operation will be performed repeatedly with the same modulus. It computes <b>r</b>=(<b>a</b>*<b>b</b>)%<b>m</b> using <b>recp</b>=1/<b>m</b>, which is set as described below. <b>ctx</b> is a previously allocated <b>BN_CTX</b> used for temporary variables.</p>

<p>BN_RECP_CTX_new() allocates and initializes a <b>BN_RECP</b> structure.</p>

<p>BN_RECP_CTX_free() frees the components of the <b>BN_RECP</b>, and, if it was created by BN_RECP_CTX_new(), also the structure itself. If <b>recp</b> is NULL, nothing is done.</p>

<p>BN_RECP_CTX_set() stores <b>m</b> in <b>recp</b> and sets it up for computing 1/<b>m</b> and shifting it left by BN_num_bits(<b>m</b>)+1 to make it an integer. The result and the number of bits it was shifted left will later be stored in <b>recp</b>.</p>

<p>BN_div_recp() divides <b>a</b> by <b>m</b> using <b>recp</b>. It places the quotient in <b>dv</b> and the remainder in <b>rem</b>.</p>

<p>The <b>BN_RECP_CTX</b> structure cannot be shared between threads.</p>

<h1 id="RETURN-VALUES">RETURN VALUES</h1>

<p>BN_RECP_CTX_new() returns the newly allocated <b>BN_RECP_CTX</b>, and NULL on error.</p>

<p>BN_RECP_CTX_free() has no return value.</p>

<p>For the other functions, 1 is returned for success, 0 on error. The error codes can be obtained by <a href="../man3/ERR_get_error.html">ERR_get_error(3)</a>.</p>

<h1 id="SEE-ALSO">SEE ALSO</h1>

<p><a href="../man3/ERR_get_error.html">ERR_get_error(3)</a>, <a href="../man3/BN_add.html">BN_add(3)</a>, <a href="../man3/BN_CTX_new.html">BN_CTX_new(3)</a></p>

<h1 id="HISTORY">HISTORY</h1>

<p>BN_RECP_CTX_init() was removed in OpenSSL 1.1.0</p>

<h1 id="COPYRIGHT">COPYRIGHT</h1>

<p>Copyright 2000-2017 The OpenSSL Project Authors. All Rights Reserved.</p>

<p>Licensed under the OpenSSL license (the &quot;License&quot;). You may not use this file except in compliance with the License. You can obtain a copy in the file LICENSE in the source distribution or at <a href="https://www.openssl.org/source/license.html">https://www.openssl.org/source/license.html</a>.</p>


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