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<p>Pairing operations.  
<a href="#details">More...</a></p>
<table class="memberdecls">
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Typedefs</h2></td></tr>
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typedef struct <a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a></td></tr>
<tr class="memdesc:ga3f1fa61d25487f96dfb0ffef4ad35607"><td class="mdescLeft">&#160;</td><td class="mdescRight">A pairing. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:ga29f79a645871830754d396b9b4a2a0cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___pairing_primitives.html#ga29f79a645871830754d396b9b4a2a0cc">NewPairingState</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> const *ga, <a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> const *gb, <a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *ff, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const *t, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> neg, <a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> **ps)</td></tr>
<tr class="memdesc:ga29f79a645871830754d396b9b4a2a0cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructs a new Pairing State.  <a href="#ga29f79a645871830754d396b9b4a2a0cc">More...</a><br /></td></tr>
<tr class="separator:ga29f79a645871830754d396b9b4a2a0cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gad54aebdc331d39b73000fdca9e04f94d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___pairing_primitives.html#gad54aebdc331d39b73000fdca9e04f94d">DeletePairingState</a> (<a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> **ps)</td></tr>
<tr class="memdesc:gad54aebdc331d39b73000fdca9e04f94d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Frees a previously allocated by PairingState.  <a href="#gad54aebdc331d39b73000fdca9e04f94d">More...</a><br /></td></tr>
<tr class="separator:gad54aebdc331d39b73000fdca9e04f94d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga5dd07d13536e27c37eaeee285297066c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___pairing_primitives.html#ga5dd07d13536e27c37eaeee285297066c">Pairing</a> (<a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> *ps, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *d, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *a, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *b)</td></tr>
<tr class="memdesc:ga5dd07d13536e27c37eaeee285297066c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes an Optimal Ate Pairing for two parameters.  <a href="#ga5dd07d13536e27c37eaeee285297066c">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<p>Pairing operations. </p>
<p>Provides APIs for defining and using a pairing relationship between two Elliptic Curve Groups. </p>
<h2 class="groupheader">Function Documentation</h2>
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          <td class="memname">void DeletePairingState </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> **&#160;</td>
          <td class="paramname"><em>ps</em></td><td>)</td>
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<p>Frees a previously allocated by PairingState. </p>
<p>Frees memory pointed to by pairing state. Nulls the pointer.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">ps</td><td>The Pairing state. Can be NULL.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group___pairing_primitives.html#ga29f79a645871830754d396b9b4a2a0cc" title="Constructs a new Pairing State. ">NewPairingState</a> </dd></dl>

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          <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> NewPairingState </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> const *&#160;</td>
          <td class="paramname"><em>ga</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> const *&#160;</td>
          <td class="paramname"><em>gb</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> *&#160;</td>
          <td class="paramname"><em>ff</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="struct_big_num_str.html">BigNumStr</a> const *&#160;</td>
          <td class="paramname"><em>t</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a>&#160;</td>
          <td class="paramname"><em>neg</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> **&#160;</td>
          <td class="paramname"><em>ps</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
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<p>Constructs a new Pairing State. </p>
<p>Allocates memory and creates a new Pairing State for Optimal Ate Pairing.</p>
<p>Use <a class="el" href="group___pairing_primitives.html#gad54aebdc331d39b73000fdca9e04f94d" title="Frees a previously allocated by PairingState. ">DeletePairingState()</a> to free memory.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">ga</td><td>The EcGroup from which the first parameter of the pairing is taken. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">gb</td><td>The EcGroup from which the second parameter of the pairing is taken. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">ff</td><td>The result finite field. Must be a Fq12 field. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>A positive integer such that 6(t^2) == q - p, where p and q are parameters of G1. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">neg</td><td>Select the alternate "negate" processing path for Optimal Ate Pairing. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">ps</td><td>Newly constructed Pairing State.</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a></dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="group___pairing_primitives.html#gad54aebdc331d39b73000fdca9e04f94d" title="Frees a previously allocated by PairingState. ">DeletePairingState</a> </dd></dl>

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          <td class="memname"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> Pairing </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="group___pairing_primitives.html#ga3f1fa61d25487f96dfb0ffef4ad35607">PairingState</a> *&#160;</td>
          <td class="paramname"><em>ps</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> *&#160;</td>
          <td class="paramname"><em>d</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *&#160;</td>
          <td class="paramname"><em>a</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *&#160;</td>
          <td class="paramname"><em>b</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
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<p>Computes an Optimal Ate Pairing for two parameters. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">ps</td><td>The pairing state. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">d</td><td>The result of the pairing. Will be in ff used to create the pairing state. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">a</td><td>The first value to pair. Must be in ga used to create ps. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The second value to pair. Must be in gb used to create ps</td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360" title="Return status for SDK functions. ">EpidStatus</a> </dd></dl>

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