1 <!-- HTML header for doxygen 1.8.10--> 2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> 3 <html xmlns="http://www.w3.org/1999/xhtml"> 4 <head> 5 <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> 6 <meta http-equiv="X-UA-Compatible" content="IE=9"/> 7 <meta name="generator" content="Doxygen 1.8.14"/> 8 <title>Intel® Enhanced Privacy ID SDK: epid/common/math/ecgroup.h File Reference</title> 9 <link href="tabs.css" rel="stylesheet" type="text/css"/> 10 <script type="text/javascript" src="jquery.js"></script> 11 <script type="text/javascript" src="dynsections.js"></script> 12 <link href="navtree.css" rel="stylesheet" type="text/css"/> 13 <script type="text/javascript" src="resize.js"></script> 14 <script type="text/javascript" src="navtreedata.js"></script> 15 <script type="text/javascript" src="navtree.js"></script> 16 <script type="text/javascript"> 17 /* @license 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id="nav-tree-contents"> 48 <div id="nav-sync" class="sync"></div> 49 </div> 50 </div> 51 <div id="splitbar" style="-moz-user-select:none;" 52 class="ui-resizable-handle"> 53 </div> 54 </div> 55 <script type="text/javascript"> 56 /* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&dn=gpl-2.0.txt GPL-v2 */ 57 $(document).ready(function(){initNavTree('ecgroup_8h.html','');}); 58 /* @license-end */ 59 </script> 60 <div id="doc-content"> 61 <div class="header"> 62 <div class="summary"> 63 <a href="#typedef-members">Typedefs</a> | 64 <a href="#func-members">Functions</a> </div> 65 <div class="headertitle"> 66 <div class="title">ecgroup.h File Reference</div> </div> 67 </div><!--header--> 68 <div class="contents"> 69 70 <p>Elliptic curve group interface. 71 <a href="#details">More...</a></p> 72 <div class="textblock"><code>#include "<a class="el" href="errors_8h.html">epid/common/errors.h</a>"</code><br /> 73 <code>#include "<a class="el" href="bignum_8h.html">epid/common/math/bignum.h</a>"</code><br /> 74 <code>#include "<a class="el" href="finitefield_8h.html">epid/common/math/finitefield.h</a>"</code><br /> 75 <code>#include "<a class="el" href="stdtypes_8h.html">epid/common/stdtypes.h</a>"</code><br /> 76 <code>#include "<a class="el" href="types_8h.html">epid/common/types.h</a>"</code><br /> 77 </div><table class="memberdecls"> 78 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a> 79 Typedefs</h2></td></tr> 80 <tr class="memitem:gac91c5a7623c17a868dd15b2e9aaf7159"><td class="memItemLeft" align="right" valign="top"> 81 typedef struct <a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a></td></tr> 82 <tr class="memdesc:gac91c5a7623c17a868dd15b2e9aaf7159"><td class="mdescLeft"> </td><td class="mdescRight">Elliptic curve group over finite field. <br /></td></tr> 83 <tr class="separator:gac91c5a7623c17a868dd15b2e9aaf7159"><td class="memSeparator" colspan="2"> </td></tr> 84 <tr class="memitem:ga85c1d5e106031b385a6e23e598ac98fa"><td class="memItemLeft" align="right" valign="top"> 85 typedef struct <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a></td></tr> 86 <tr class="memdesc:ga85c1d5e106031b385a6e23e598ac98fa"><td class="mdescLeft"> </td><td class="mdescRight">Point on elliptic curve over finite field. <br /></td></tr> 87 <tr class="separator:ga85c1d5e106031b385a6e23e598ac98fa"><td class="memSeparator" colspan="2"> </td></tr> 88 </table><table class="memberdecls"> 89 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> 90 Functions</h2></td></tr> 91 <tr class="memitem:gaf4e23677dd378ef2e0cf55df79cbdb62"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gaf4e23677dd378ef2e0cf55df79cbdb62">NewEcGroup</a> (<a class="el" href="group___finite_field_primitives.html#gab281b24e336a8b3d7d90079d862d969e">FiniteField</a> const *ff, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *a, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *b, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *x, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *y, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const *order, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const *cofactor, <a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> **g)</td></tr> 92 <tr class="memdesc:gaf4e23677dd378ef2e0cf55df79cbdb62"><td class="mdescLeft"> </td><td class="mdescRight">Constructs a new EcGroup. <a href="group___ec_group_primitives.html#gaf4e23677dd378ef2e0cf55df79cbdb62">More...</a><br /></td></tr> 93 <tr class="separator:gaf4e23677dd378ef2e0cf55df79cbdb62"><td class="memSeparator" colspan="2"> </td></tr> 94 <tr class="memitem:gab7af276256c27610eda85ff432b846ea"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gab7af276256c27610eda85ff432b846ea">DeleteEcGroup</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> **g)</td></tr> 95 <tr class="memdesc:gab7af276256c27610eda85ff432b846ea"><td class="mdescLeft"> </td><td class="mdescRight">Deletes a previously allocated EcGroup. <a href="group___ec_group_primitives.html#gab7af276256c27610eda85ff432b846ea">More...</a><br /></td></tr> 96 <tr class="separator:gab7af276256c27610eda85ff432b846ea"><td class="memSeparator" colspan="2"> </td></tr> 97 <tr class="memitem:ga6417b0ce72ba96de00c329e322fec7fb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga6417b0ce72ba96de00c329e322fec7fb">NewEcPoint</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> const *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> **p)</td></tr> 98 <tr class="memdesc:ga6417b0ce72ba96de00c329e322fec7fb"><td class="mdescLeft"> </td><td class="mdescRight">Creates a new EcPoint. <a href="group___ec_group_primitives.html#ga6417b0ce72ba96de00c329e322fec7fb">More...</a><br /></td></tr> 99 <tr class="separator:ga6417b0ce72ba96de00c329e322fec7fb"><td class="memSeparator" colspan="2"> </td></tr> 100 <tr class="memitem:ga8cb086d792bffb79b3ca07e6ca4ce0e7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga8cb086d792bffb79b3ca07e6ca4ce0e7">DeleteEcPoint</a> (<a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> **p)</td></tr> 101 <tr class="memdesc:ga8cb086d792bffb79b3ca07e6ca4ce0e7"><td class="mdescLeft"> </td><td class="mdescRight">Deletes a previously allocated EcPoint. <a href="group___ec_group_primitives.html#ga8cb086d792bffb79b3ca07e6ca4ce0e7">More...</a><br /></td></tr> 102 <tr class="separator:ga8cb086d792bffb79b3ca07e6ca4ce0e7"><td class="memSeparator" colspan="2"> </td></tr> 103 <tr class="memitem:gad495a9f91b79984f7533c8ea4f92b3cb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gad495a9f91b79984f7533c8ea4f92b3cb">ReadEcPoint</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> p_str, size_t strlen, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *p)</td></tr> 104 <tr class="memdesc:gad495a9f91b79984f7533c8ea4f92b3cb"><td class="mdescLeft"> </td><td class="mdescRight">Deserializes an EcPoint from a string. <a href="group___ec_group_primitives.html#gad495a9f91b79984f7533c8ea4f92b3cb">More...</a><br /></td></tr> 105 <tr class="separator:gad495a9f91b79984f7533c8ea4f92b3cb"><td class="memSeparator" colspan="2"> </td></tr> 106 <tr class="memitem:ga7a8bdb9782d065bc32fd102e0ae73ccb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga7a8bdb9782d065bc32fd102e0ae73ccb">WriteEcPoint</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *p, <a class="el" href="group___epid_types.html#ga3315fb24f4c5783b6d6eb107933390b0">OctStr</a> p_str, size_t strlen)</td></tr> 107 <tr class="memdesc:ga7a8bdb9782d065bc32fd102e0ae73ccb"><td class="mdescLeft"> </td><td class="mdescRight">Serializes an EcPoint to a string. <a href="group___ec_group_primitives.html#ga7a8bdb9782d065bc32fd102e0ae73ccb">More...</a><br /></td></tr> 108 <tr class="separator:ga7a8bdb9782d065bc32fd102e0ae73ccb"><td class="memSeparator" colspan="2"> </td></tr> 109 <tr class="memitem:ga25c9013cc76907d73765eb7a96aa8c96"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga25c9013cc76907d73765eb7a96aa8c96">EcMul</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <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, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 110 <tr class="memdesc:ga25c9013cc76907d73765eb7a96aa8c96"><td class="mdescLeft"> </td><td class="mdescRight">Multiplies two elements in an elliptic curve group. <a href="group___ec_group_primitives.html#ga25c9013cc76907d73765eb7a96aa8c96">More...</a><br /></td></tr> 111 <tr class="separator:ga25c9013cc76907d73765eb7a96aa8c96"><td class="memSeparator" colspan="2"> </td></tr> 112 <tr class="memitem:ga01bf8d6fa60a2e445490966b3a06c270"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga01bf8d6fa60a2e445490966b3a06c270">EcExp</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const *b, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 113 <tr class="memdesc:ga01bf8d6fa60a2e445490966b3a06c270"><td class="mdescLeft"> </td><td class="mdescRight">Raises a point in an elliptic curve group to a power. <a href="group___ec_group_primitives.html#ga01bf8d6fa60a2e445490966b3a06c270">More...</a><br /></td></tr> 114 <tr class="separator:ga01bf8d6fa60a2e445490966b3a06c270"><td class="memSeparator" colspan="2"> </td></tr> 115 <tr class="memitem:gaf3b6a548aa6f0d4f028a14feca251f57"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gaf3b6a548aa6f0d4f028a14feca251f57">EcSscmExp</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const *b, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 116 <tr class="memdesc:gaf3b6a548aa6f0d4f028a14feca251f57"><td class="mdescLeft"> </td><td class="mdescRight">Software side-channel mitigated implementation of EcExp. <a href="group___ec_group_primitives.html#gaf3b6a548aa6f0d4f028a14feca251f57">More...</a><br /></td></tr> 117 <tr class="separator:gaf3b6a548aa6f0d4f028a14feca251f57"><td class="memSeparator" colspan="2"> </td></tr> 118 <tr class="memitem:gae96c38e004ccd2211290ad6e66415ec4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gae96c38e004ccd2211290ad6e66415ec4">EcMultiExp</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const **a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const **b, size_t m, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 119 <tr class="memdesc:gae96c38e004ccd2211290ad6e66415ec4"><td class="mdescLeft"> </td><td class="mdescRight">Multi-exponentiates elements in elliptic curve group. <a href="group___ec_group_primitives.html#gae96c38e004ccd2211290ad6e66415ec4">More...</a><br /></td></tr> 120 <tr class="separator:gae96c38e004ccd2211290ad6e66415ec4"><td class="memSeparator" colspan="2"> </td></tr> 121 <tr class="memitem:ga76d24378455eb96a3257fe8045c0993a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga76d24378455eb96a3257fe8045c0993a">EcMultiExpBn</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const **a, <a class="el" href="group___big_num_primitives.html#ga2bf153e27be2683f0fb26f0f7ff1f718">BigNum</a> const **b, size_t m, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 122 <tr class="memdesc:ga76d24378455eb96a3257fe8045c0993a"><td class="mdescLeft"> </td><td class="mdescRight">Multi-exponentiates elements in elliptic curve group. <a href="group___ec_group_primitives.html#ga76d24378455eb96a3257fe8045c0993a">More...</a><br /></td></tr> 123 <tr class="separator:ga76d24378455eb96a3257fe8045c0993a"><td class="memSeparator" colspan="2"> </td></tr> 124 <tr class="memitem:ga40e3431d3dbe8cf7a65ada7b7811cba4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga40e3431d3dbe8cf7a65ada7b7811cba4">EcSscmMultiExp</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const **a, <a class="el" href="struct_big_num_str.html">BigNumStr</a> const **b, size_t m, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 125 <tr class="memdesc:ga40e3431d3dbe8cf7a65ada7b7811cba4"><td class="mdescLeft"> </td><td class="mdescRight">Software side-channel mitigated implementation of EcMultiExp. <a href="group___ec_group_primitives.html#ga40e3431d3dbe8cf7a65ada7b7811cba4">More...</a><br /></td></tr> 126 <tr class="separator:ga40e3431d3dbe8cf7a65ada7b7811cba4"><td class="memSeparator" colspan="2"> </td></tr> 127 <tr class="memitem:ga3f96c43d14d24de0f7a5e214aef64196"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga3f96c43d14d24de0f7a5e214aef64196">EcGetRandom</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___epid_common.html#ga6119a2c0323a3fca9e502b24bc378c2c">BitSupplier</a> rnd_func, void *rnd_func_param, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 128 <tr class="memdesc:ga3f96c43d14d24de0f7a5e214aef64196"><td class="mdescLeft"> </td><td class="mdescRight">Generates a random element from an elliptic curve group. <a href="group___ec_group_primitives.html#ga3f96c43d14d24de0f7a5e214aef64196">More...</a><br /></td></tr> 129 <tr class="separator:ga3f96c43d14d24de0f7a5e214aef64196"><td class="memSeparator" colspan="2"> </td></tr> 130 <tr class="memitem:ga48ec5ae951c9f49d8d7d983234eea921"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga48ec5ae951c9f49d8d7d983234eea921">EcInGroup</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> p_str, size_t strlen, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *in_group)</td></tr> 131 <tr class="memdesc:ga48ec5ae951c9f49d8d7d983234eea921"><td class="mdescLeft"> </td><td class="mdescRight">Checks if a point is in an elliptic curve group. <a href="group___ec_group_primitives.html#ga48ec5ae951c9f49d8d7d983234eea921">More...</a><br /></td></tr> 132 <tr class="separator:ga48ec5ae951c9f49d8d7d983234eea921"><td class="memSeparator" colspan="2"> </td></tr> 133 <tr class="memitem:gaad96a1498b85d28f71514b8f7b154d82"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gaad96a1498b85d28f71514b8f7b154d82">Epid11EcHash</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> msg, size_t msg_len, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 134 <tr class="memdesc:gaad96a1498b85d28f71514b8f7b154d82"><td class="mdescLeft"> </td><td class="mdescRight">Hashes an arbitrary message to an Intel(R) EPID 1.1 element in an elliptic curve group. <a href="group___ec_group_primitives.html#gaad96a1498b85d28f71514b8f7b154d82">More...</a><br /></td></tr> 135 <tr class="separator:gaad96a1498b85d28f71514b8f7b154d82"><td class="memSeparator" colspan="2"> </td></tr> 136 <tr class="memitem:gac3067cc899e65e647390bb3bd1cabe4c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gac3067cc899e65e647390bb3bd1cabe4c">EcHash</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___epid_types.html#gace6876a045f2c2694444b35ccb0844e2">ConstOctStr</a> msg, size_t msg_len, <a class="el" href="group___epid_types.html#ga5e450438f6f9a5eacd0cf5ce354ec890">HashAlg</a> hash_alg, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r, uint32_t *iterations)</td></tr> 137 <tr class="memdesc:gac3067cc899e65e647390bb3bd1cabe4c"><td class="mdescLeft"> </td><td class="mdescRight">Hashes an arbitrary message to an element in an elliptic curve group. <a href="group___ec_group_primitives.html#gac3067cc899e65e647390bb3bd1cabe4c">More...</a><br /></td></tr> 138 <tr class="separator:gac3067cc899e65e647390bb3bd1cabe4c"><td class="memSeparator" colspan="2"> </td></tr> 139 <tr class="memitem:ga8a6114a48214a327d4ec04fd25e5940e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga8a6114a48214a327d4ec04fd25e5940e">EcMakePoint</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___finite_field_primitives.html#ga6cff5c7c06b07a87442b810ccc0a86fa">FfElement</a> const *x, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 140 <tr class="memdesc:ga8a6114a48214a327d4ec04fd25e5940e"><td class="mdescLeft"> </td><td class="mdescRight">Sets an EcPoint variable to a point on a curve. <a href="group___ec_group_primitives.html#ga8a6114a48214a327d4ec04fd25e5940e">More...</a><br /></td></tr> 141 <tr class="separator:ga8a6114a48214a327d4ec04fd25e5940e"><td class="memSeparator" colspan="2"> </td></tr> 142 <tr class="memitem:ga0b6d7a3398251e9352fb29ef4abef466"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga0b6d7a3398251e9352fb29ef4abef466">EcInverse</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *p, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> *r)</td></tr> 143 <tr class="memdesc:ga0b6d7a3398251e9352fb29ef4abef466"><td class="mdescLeft"> </td><td class="mdescRight">Computes the additive inverse of an EcPoint. <a href="group___ec_group_primitives.html#ga0b6d7a3398251e9352fb29ef4abef466">More...</a><br /></td></tr> 144 <tr class="separator:ga0b6d7a3398251e9352fb29ef4abef466"><td class="memSeparator" colspan="2"> </td></tr> 145 <tr class="memitem:gad3b3c63c48fa24e8dea07837b05bc061"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#gad3b3c63c48fa24e8dea07837b05bc061">EcIsEqual</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <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, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *is_equal)</td></tr> 146 <tr class="memdesc:gad3b3c63c48fa24e8dea07837b05bc061"><td class="mdescLeft"> </td><td class="mdescRight">Checks if two EcPoints are equal. <a href="group___ec_group_primitives.html#gad3b3c63c48fa24e8dea07837b05bc061">More...</a><br /></td></tr> 147 <tr class="separator:gad3b3c63c48fa24e8dea07837b05bc061"><td class="memSeparator" colspan="2"> </td></tr> 148 <tr class="memitem:ga9cf15b34bc4ff12e58b169dd989d8210"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___error_codes.html#gafdb27c77c2c4b32c807e326a8a0da360">EpidStatus</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group___ec_group_primitives.html#ga9cf15b34bc4ff12e58b169dd989d8210">EcIsIdentity</a> (<a class="el" href="group___ec_group_primitives.html#gac91c5a7623c17a868dd15b2e9aaf7159">EcGroup</a> *g, <a class="el" href="group___ec_group_primitives.html#ga85c1d5e106031b385a6e23e598ac98fa">EcPoint</a> const *p, <a class="el" href="stdtypes_8h.html#ad5c9d4ba3dc37783a528b0925dc981a0">bool</a> *is_identity)</td></tr> 149 <tr class="memdesc:ga9cf15b34bc4ff12e58b169dd989d8210"><td class="mdescLeft"> </td><td class="mdescRight">Checks if an EcPoint is the identity element. <a href="group___ec_group_primitives.html#ga9cf15b34bc4ff12e58b169dd989d8210">More...</a><br /></td></tr> 150 <tr class="separator:ga9cf15b34bc4ff12e58b169dd989d8210"><td class="memSeparator" colspan="2"> </td></tr> 151 </table> 152 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> 153 <div class="textblock"><p>Elliptic curve group interface. </p> 154 </div></div><!-- contents --> 155 </div><!-- doc-content --> 156 <!-- HTML footer for doxygen 1.8.10--> 157 <!-- start footer part --> 158 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! --> 159 <ul> 160 <li 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