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<a href="ecp_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Elliptic curves over GF(p): generic functions</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Copyright (C) 2006-2014, Brainspark B.V.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * This file is part of PolarSSL (http://www.polarssl.org)</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Lead Maintainer: Paul Bakker <polarssl_maintainer at polarssl.org></span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * All rights reserved.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * This program is free software; you can redistribute it and/or modify</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * it under the terms of the GNU General Public License as published by</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * the Free Software Foundation; either version 2 of the License, or</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * This program is distributed in the hope that it will be useful,</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * GNU General Public License for more details.</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * You should have received a copy of the GNU General Public License along</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * with this program; if not, write to the Free Software Foundation, Inc.,</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> * References:</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * SEC1 http://www.secg.org/index.php?action=secg,docs_secg</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> * GECC = Guide to Elliptic Curve Cryptography - Hankerson, Menezes, Vanstone</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> * FIPS 186-3 http://csrc.nist.gov/publications/fips/fips186-3/fips_186-3.pdf</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> * RFC 4492 for the related TLS structures and constants</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> * [M255] http://cr.yp.to/ecdh/curve25519-20060209.pdf</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> * [2] CORON, Jean-Sébastien. Resistance against differential power analysis</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> * for elliptic curve cryptosystems. In : Cryptographic Hardware and</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> * Embedded Systems. Springer Berlin Heidelberg, 1999. p. 292-302.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> * <http://link.springer.com/chapter/10.1007/3-540-48059-5_25></span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> * [3] HEDABOU, Mustapha, PINEL, Pierre, et BÉNÉTEAU, Lucien. A comb method to</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> * render ECC resistant against Side Channel Attacks. IACR Cryptology</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> * ePrint Archive, 2004, vol. 2004, p. 342.</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> * <http://eprint.iacr.org/2004/342.pdf></span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor">#if !defined(POLARSSL_CONFIG_FILE)</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"></span><span class="preprocessor">#include "<a class="code" href="config_8h.html">polarssl/config.h</a>"</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"></span><span class="preprocessor">#include POLARSSL_CONFIG_FILE</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#if defined(POLARSSL_ECP_C)</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor">#include "<a class="code" href="ecp_8h.html">polarssl/ecp.h</a>"</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor">#if defined(POLARSSL_PLATFORM_C)</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"></span><span class="preprocessor">#include "<a class="code" href="platform_8h.html">polarssl/platform.h</a>"</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"></span><span class="preprocessor">#define polarssl_printf printf</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"></span><span class="preprocessor">#define polarssl_malloc malloc</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor"></span><span class="preprocessor">#define polarssl_free free</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor">#include <stdlib.h></span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor">#if defined(_MSC_VER) && !defined strcasecmp && !defined(EFIX64) && \</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor"> !defined(EFI32)</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor"></span><span class="preprocessor">#define strcasecmp _stricmp</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="preprocessor">#if defined(_MSC_VER) && !defined(inline)</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="preprocessor"></span><span class="preprocessor">#define inline _inline</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(__ARMCC_VERSION) && !defined(inline)</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="preprocessor"></span><span class="preprocessor">#define inline __inline</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor"></span><span class="preprocessor">#endif </span><span class="comment">/* __ARMCC_VERSION */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor"></span><span class="preprocessor">#endif </span><span class="comment">/*_MSC_VER */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment">/* Implementation that should never be optimized out by the compiler */</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">static</span> <span class="keywordtype">void</span> polarssl_zeroize( <span class="keywordtype">void</span> *v, <span class="keywordtype">size_t</span> n ) {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">volatile</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *p = v; <span class="keywordflow">while</span>( n-- ) *p++ = 0;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="preprocessor">#if defined(POLARSSL_SELF_TEST)</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"> * Counts of point addition and doubling, and field multiplications.</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"> * Used to test resistance of point multiplication to simple timing attacks.</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> add_count, dbl_count, mul_count;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED) || \</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP384R1_ENABLED) || \</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP521R1_ENABLED) || \</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_BP256R1_ENABLED) || \</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_BP384R1_ENABLED) || \</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_BP512R1_ENABLED) || \</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP192K1_ENABLED) || \</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP224K1_ENABLED) || \</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor"></span><span class="preprocessor">#define POLARSSL_ECP_SHORT_WEIERSTRASS</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="preprocessor">#if defined(POLARSSL_ECP_DP_M221_ENABLED) || \</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_M255_ENABLED) || \</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_M383_ENABLED) || \</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor"> defined(POLARSSL_ECP_DP_M511_ENABLED)</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor"></span><span class="preprocessor">#define POLARSSL_ECP_MONTGOMERY</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> * Curve types: internal for now, might be exposed later</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">typedef</span> <span class="keyword">enum</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  POLARSSL_ECP_TYPE_NONE = 0,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS, <span class="comment">/* y^2 = x^3 + a x + b */</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  POLARSSL_ECP_TYPE_MONTGOMERY, <span class="comment">/* y^2 = x^3 + a x^2 + x */</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> } ecp_curve_type;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> * List of supported curves:</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> * - internal ID</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> * - TLS NamedCurve ID (RFC 4492 sec. 5.1.1, RFC 7071 sec. 2)</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> * - size in bits</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> * - readable name</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * Curves are listed in order: largest curves first, and for a given size,</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> * fastest curves first. This provides the default order for the SSL module.</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> ecp_supported_curves[] =</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a0dbfef81c231c728a458d4a62b219f44">POLARSSL_ECP_DP_SECP521R1</a>, 25, 521, <span class="stringliteral">"secp521r1"</span> },</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aeeb07a2080f671337ce152e41404dc01">POLARSSL_ECP_DP_BP512R1</a>, 28, 512, <span class="stringliteral">"brainpoolP512r1"</span> },</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a5c29d432a997b609e72af045b89609f0">POLARSSL_ECP_DP_SECP384R1</a>, 24, 384, <span class="stringliteral">"secp384r1"</span> },</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a439f3384e485525b216e3e29c69c45cc">POLARSSL_ECP_DP_BP384R1</a>, 27, 384, <span class="stringliteral">"brainpoolP384r1"</span> },</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a13f6d2a908ca7d322ceb2a5d9f4dea6f">POLARSSL_ECP_DP_SECP256R1</a>, 23, 256, <span class="stringliteral">"secp256r1"</span> },</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a7e82b353163bf3307dc5dc5e67e21751">POLARSSL_ECP_DP_SECP256K1</a>, 22, 256, <span class="stringliteral">"secp256k1"</span> },</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aed9d986cfbd5e9c7ef26293e43cd3429">POLARSSL_ECP_DP_BP256R1</a>, 26, 256, <span class="stringliteral">"brainpoolP256r1"</span> },</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aa8b959db9beb4ac3fe805dd4caec6924">POLARSSL_ECP_DP_SECP224R1</a>, 21, 224, <span class="stringliteral">"secp224r1"</span> },</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a56360e39b811e7f040eb30179451c706">POLARSSL_ECP_DP_SECP224K1</a>, 20, 224, <span class="stringliteral">"secp224k1"</span> },</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2ad7b0489f0d40a4f1c1b143d401977a2f">POLARSSL_ECP_DP_SECP192R1</a>, 19, 192, <span class="stringliteral">"secp192r1"</span> },</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a0b278617b5b1d73d288a094f3d62617a">POLARSSL_ECP_DP_SECP192K1</a>, 18, 192, <span class="stringliteral">"secp192k1"</span> },</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="preprocessor"></span> { <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>, 0, 0, NULL },</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> };</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="preprocessor">#define ECP_NB_CURVES sizeof( ecp_supported_curves ) / \</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="preprocessor"> sizeof( ecp_supported_curves[0] )</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">static</span> <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2">ecp_group_id</a> ecp_supported_grp_id[ECP_NB_CURVES];</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> * List of supported curves and associated info</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *<a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>( <span class="keywordtype">void</span> )</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keywordflow">return</span>( ecp_supported_curves );</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment"> * List of supported curves, group ID only</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="keyword">const</span> <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2">ecp_group_id</a> *<a class="code" href="ecp_8h.html#ac98810f90e8dd16117fc7df87865f601">ecp_grp_id_list</a>( <span class="keywordtype">void</span> )</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> {</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keyword">static</span> <span class="keywordtype">int</span> init_done = 0;</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keywordflow">if</span>( ! init_done )</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  {</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordtype">size_t</span> i = 0;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">for</span>( curve_info = <a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>();</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> != <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>;</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  curve_info++ )</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  {</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  ecp_supported_grp_id[i++] = curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a>;</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  }</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  ecp_supported_grp_id[i] = <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> </div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  init_done = 1;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keywordflow">return</span>( ecp_supported_grp_id );</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> * Get the curve info for the internal identifier</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *<a class="code" href="ecp_8h.html#aa101fa81835bbae3d81cc47ac6ba720a">ecp_curve_info_from_grp_id</a>( <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2">ecp_group_id</a> grp_id )</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> {</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> </div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">for</span>( curve_info = <a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>();</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> != <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  curve_info++ )</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keywordflow">if</span>( curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> == grp_id )</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span>( curve_info );</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordflow">return</span>( NULL );</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> }</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment"> * Get the curve info from the TLS identifier</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *<a class="code" href="ecp_8h.html#aba258324a27e636af7defe9c8112b1b0">ecp_curve_info_from_tls_id</a>( uint16_t tls_id )</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> {</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keywordflow">for</span>( curve_info = <a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>();</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> != <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>;</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  curve_info++ )</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  {</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keywordflow">if</span>( curve_info-><a class="code" href="structecp__curve__info.html#a81d5e6fde72a77fe4124f09507f6f00e">tls_id</a> == tls_id )</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">return</span>( curve_info );</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">return</span>( NULL );</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> }</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="comment"> * Get the curve info from the name</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *<a class="code" href="ecp_8h.html#afd34beb5f2c6364b76ed732894fda83f">ecp_curve_info_from_name</a>( <span class="keyword">const</span> <span class="keywordtype">char</span> *name )</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> {</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">for</span>( curve_info = <a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>();</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> != <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a>;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  curve_info++ )</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  {</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">if</span>( strcasecmp( curve_info-><a class="code" href="structecp__curve__info.html#a77514b39b33e150fa2d3154ee77679cd">name</a>, name ) == 0 )</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">return</span>( curve_info );</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  }</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">return</span>( NULL );</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"> * Get the type of a curve</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="keyword">static</span> <span class="keyword">inline</span> ecp_curve_type ecp_get_type( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp )</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> {</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>.<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> == NULL )</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keywordflow">return</span>( POLARSSL_ECP_TYPE_NONE );</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>.<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> == NULL )</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keywordflow">return</span>( POLARSSL_ECP_TYPE_MONTGOMERY );</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">return</span>( POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS );</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> }</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"> * Initialize (the components of) a point</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">if</span>( pt == NULL )</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> );</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"> * Initialize (the components of) a group</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#a9859e0bafd24035307f33c1aee570eef">ecp_group_init</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp )</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> {</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordflow">if</span>( grp == NULL )</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  memset( grp, 0, <span class="keyword">sizeof</span>( <a class="code" href="structecp__group.html">ecp_group</a> ) );</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span> }</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span> </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment"> * Initialize (the components of) a key pair</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#ad319627ec2d6771c107958eba37857e8">ecp_keypair_init</a>( <a class="code" href="structecp__keypair.html">ecp_keypair</a> *key )</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> {</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">if</span>( key == NULL )</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <a class="code" href="ecp_8h.html#a9859e0bafd24035307f33c1aee570eef">ecp_group_init</a>( &key-><a class="code" href="structecp__keypair.html#af83ab21de379598f79adade4c3cd376f">grp</a> );</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &key-><a class="code" href="structecp__keypair.html#a8531547899526b4e8e6b2427c09e0177">d</a> );</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &key-><a class="code" href="structecp__keypair.html#a3a2bd5744991a7b0fbc76c3649a1e8a1">Q</a> );</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span> }</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span> </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment"> * Unallocate (the components of) a point</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">if</span>( pt == NULL )</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> </div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &( pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) );</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &( pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) );</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &( pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) );</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> }</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment"> * Unallocate (the components of) a group</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#acbb816c782b4d903a0f0fac9b9d7e748">ecp_group_free</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp )</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> {</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">if</span>( grp == NULL )</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#af88943414b51c063db7077e833a3f293">h</a> != 1 )</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  {</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> );</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a> );</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &grp-><a class="code" href="structecp__group.html#a83383f769f7a7b0067bd8eb237b30bec">B</a> );</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a> );</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a> );</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  }</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">T</a> != NULL )</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  {</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordflow">for</span>( i = 0; i < grp-><a class="code" href="structecp__group.html#aa139ffe369496827f4dc0880fc73c02c">T_size</a>; i++ )</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &grp-><a class="code" href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">T</a>[i] );</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#a3c8219c194813f302bf78fe73566cb2d">polarssl_free</a>( grp-><a class="code" href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">T</a> );</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  }</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  polarssl_zeroize( grp, <span class="keyword">sizeof</span>( <a class="code" href="structecp__group.html">ecp_group</a> ) );</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> }</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> </div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="comment"> * Unallocate (the components of) a key pair</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="keywordtype">void</span> <a class="code" href="ecp_8h.html#a8c9caf072a4466fb8191a07a2927d367">ecp_keypair_free</a>( <a class="code" href="structecp__keypair.html">ecp_keypair</a> *key )</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> {</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  <span class="keywordflow">if</span>( key == NULL )</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> </div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <a class="code" href="ecp_8h.html#acbb816c782b4d903a0f0fac9b9d7e748">ecp_group_free</a>( &key-><a class="code" href="structecp__keypair.html#af83ab21de379598f79adade4c3cd376f">grp</a> );</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &key-><a class="code" href="structecp__keypair.html#a8531547899526b4e8e6b2427c09e0177">d</a> );</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &key-><a class="code" href="structecp__keypair.html#a3a2bd5744991a7b0fbc76c3649a1e8a1">Q</a> );</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> }</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> </div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="comment"> * Copy the contents of a point</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *Q )</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span> {</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &Q-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) );</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &Q-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) );</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) );</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span> cleanup:</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> }</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> <span class="comment"> * Copy the contents of a group object</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#aae1ffdfabe7a58a7d9a1fee29a792051">ecp_group_copy</a>( <a class="code" href="structecp__group.html">ecp_group</a> *dst, <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *src )</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> {</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keywordflow">return</span> <a class="code" href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a>( dst, src-><a class="code" href="structecp__group.html#a8f7b8f453c94152dcb7227639511f323">id</a> );</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment"> * Set point to zero</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a35010124f97bfd47b2d9cc35fb682291">ecp_set_zero</a>( <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> {</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> , 1 ) );</div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> , 1 ) );</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> , 0 ) );</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> cleanup:</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> }</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="comment"> * Tell if a point is zero</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#ab091c21f839189f606dfad0ef924af35">ecp_is_zero</a>( <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> {</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">return</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) == 0 );</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> }</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="comment"> * Import a non-zero point from ASCII strings</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a42d7d6a91aab9a40f9945db90f5664d8">ecp_point_read_string</a>( <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keywordtype">int</span> radix,</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *x, <span class="keyword">const</span> <span class="keywordtype">char</span> *y )</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> {</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, radix, x ) );</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, radix, y ) );</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) );</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span> </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> cleanup:</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span> }</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span> </div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="comment"> * Export a point into unsigned binary data (SEC1 2.3.3)</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#af386d2126344b010b0ec7db582b7771c">ecp_point_write_binary</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordtype">int</span> format, <span class="keywordtype">size_t</span> *olen,</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *buf, <span class="keywordtype">size_t</span> buflen )</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> {</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordtype">int</span> ret = 0;</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordtype">size_t</span> plen;</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span> </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordflow">if</span>( format != <a class="code" href="ecp_8h.html#ac9035f34ba62d16e0e37bdaca67e37e2">POLARSSL_ECP_PF_UNCOMPRESSED</a> &&</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  format != <a class="code" href="ecp_8h.html#ad429f374f5b86942b9561edce9c99082">POLARSSL_ECP_PF_COMPRESSED</a> )</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span> </div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="comment"> * Common case: P == 0</span></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) == 0 )</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  {</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <span class="keywordflow">if</span>( buflen < 1 )</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a5dde870beebeca665d636398cd084fba">POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</a> );</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  buf[0] = 0x00;</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  *olen = 1;</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span> </div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  plen = <a class="code" href="bignum_8h.html#a8aa3a3d3aac9e49879ea8cd308859d23">mpi_size</a>( &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> );</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span> </div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keywordflow">if</span>( format == <a class="code" href="ecp_8h.html#ac9035f34ba62d16e0e37bdaca67e37e2">POLARSSL_ECP_PF_UNCOMPRESSED</a> )</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  {</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  *olen = 2 * plen + 1;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keywordflow">if</span>( buflen < *olen )</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a5dde870beebeca665d636398cd084fba">POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</a> );</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span> </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  buf[0] = 0x04;</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a5d464b4312859ce4969d114eb5e02741">mpi_write_binary</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, buf + 1, plen ) );</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a5d464b4312859ce4969d114eb5e02741">mpi_write_binary</a>( &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, buf + 1 + plen, plen ) );</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  }</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span>( format == <a class="code" href="ecp_8h.html#ad429f374f5b86942b9561edce9c99082">POLARSSL_ECP_PF_COMPRESSED</a> )</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  {</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  *olen = plen + 1;</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span> </div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  <span class="keywordflow">if</span>( buflen < *olen )</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a5dde870beebeca665d636398cd084fba">POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</a> );</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span> </div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  buf[0] = 0x02 + <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, 0 );</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a5d464b4312859ce4969d114eb5e02741">mpi_write_binary</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, buf + 1, plen ) );</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  }</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span> </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span> cleanup:</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span> }</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span> </div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <span class="comment"> * Import a point from unsigned binary data (SEC1 2.3.4)</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a37ff6c0c75c54675c90747a68e210b02">ecp_point_read_binary</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *pt,</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *buf, <span class="keywordtype">size_t</span> ilen )</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span> {</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keywordtype">size_t</span> plen;</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span> </div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="keywordflow">if</span> ( ilen < 1 )</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span> </div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <span class="keywordflow">if</span>( buf[0] == 0x00 )</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  {</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="keywordflow">if</span>( ilen == 1 )</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a35010124f97bfd47b2d9cc35fb682291">ecp_set_zero</a>( pt ) );</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  }</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> </div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  plen = <a class="code" href="bignum_8h.html#a8aa3a3d3aac9e49879ea8cd308859d23">mpi_size</a>( &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> );</div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span> </div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keywordflow">if</span>( buf[0] != 0x04 )</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a87be7bf7e5b042e8ee3b73dbe5f3cc3a">POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</a> );</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span> </div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="keywordflow">if</span>( ilen != 2 * plen + 1 )</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span> </div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a0235008cccbf00b8bc03699de8094819">mpi_read_binary</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, buf + 1, plen ) );</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a0235008cccbf00b8bc03699de8094819">mpi_read_binary</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, buf + 1 + plen, plen ) );</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) );</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> </div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span> cleanup:</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span> }</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> </div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span> <span class="comment"> * Import a point from a TLS ECPoint record (RFC 4492)</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="comment"> * struct {</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="comment"> * opaque point <1..2^8-1>;</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="comment"> * } ECPoint;</span></div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a6673012c82015c0b1908bb02d5360a96">ecp_tls_read_point</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *pt,</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> **buf, <span class="keywordtype">size_t</span> buf_len )</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span> {</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> data_len;</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *buf_start;</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span> </div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="comment"> * We must have at least two bytes (1 for length, at least one for data)</span></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="keywordflow">if</span>( buf_len < 2 )</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span> </div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  data_len = *(*buf)++;</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">if</span>( data_len < 1 || data_len > buf_len - 1 )</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span> </div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span> <span class="comment"> * Save buffer start for read_binary and update buf</span></div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  buf_start = *buf;</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  *buf += data_len;</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> </div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keywordflow">return</span> <a class="code" href="ecp_8h.html#a37ff6c0c75c54675c90747a68e210b02">ecp_point_read_binary</a>( grp, pt, buf_start, data_len );</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span> }</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span> </div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> <span class="comment"> * Export a point as a TLS ECPoint record (RFC 4492)</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="comment"> * struct {</span></div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> <span class="comment"> * opaque point <1..2^8-1>;</span></div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="comment"> * } ECPoint;</span></div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#ae0cee19b8786ac1b74b9af1cbdd3c1ac">ecp_tls_write_point</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *pt,</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keywordtype">int</span> format, <span class="keywordtype">size_t</span> *olen,</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *buf, <span class="keywordtype">size_t</span> blen )</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span> {</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> </div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> <span class="comment"> * buffer length must be at least one, for our length byte</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keywordflow">if</span>( blen < 1 )</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> </div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="keywordflow">if</span>( ( ret = <a class="code" href="ecp_8h.html#af386d2126344b010b0ec7db582b7771c">ecp_point_write_binary</a>( grp, pt, format,</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  olen, buf + 1, blen - 1) ) != 0 )</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="comment"> * write length to the first byte and update total length</span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  buf[0] = (<span class="keywordtype">unsigned</span> char) *olen;</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  ++*olen;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span> </div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span> }</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> <span class="comment"> * Import an ECP group from ASCII strings, case A == -3</span></div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#aae12d1249a51715d00880740ea0b1e8f">ecp_group_read_string</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keywordtype">int</span> radix,</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *p, <span class="keyword">const</span> <span class="keywordtype">char</span> *b,</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *gx, <span class="keyword">const</span> <span class="keywordtype">char</span> *gy, <span class="keyword">const</span> <span class="keywordtype">char</span> *n)</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span> {</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span> </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a>, radix, p ) );</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &grp-><a class="code" href="structecp__group.html#a83383f769f7a7b0067bd8eb237b30bec">B</a>, radix, b ) );</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a42d7d6a91aab9a40f9945db90f5664d8">ecp_point_read_string</a>( &grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>, radix, gx, gy ) );</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a>, radix, n ) );</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span> </div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  grp-><a class="code" href="structecp__group.html#a3a813481e3d2548e372bab92c50f4d48">pbits</a> = <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> );</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> = <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a> );</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span> </div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span> cleanup:</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  <span class="keywordflow">if</span>( ret != 0 )</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <a class="code" href="ecp_8h.html#acbb816c782b4d903a0f0fac9b9d7e748">ecp_group_free</a>( grp );</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span> </div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span> }</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span> </div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span> <span class="comment"> * Set a group from an ECParameters record (RFC 4492)</span></div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a272a7ee626eea52fa8095a92606d8630">ecp_tls_read_group</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> **buf, <span class="keywordtype">size_t</span> len )</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span> {</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  uint16_t tls_id;</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span> </div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span> <span class="comment"> * We expect at least three bytes (see below)</span></div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordflow">if</span>( len < 3 )</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span> </div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span> <span class="comment"> * First byte is curve_type; only named_curve is handled</span></div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keywordflow">if</span>( *(*buf)++ != <a class="code" href="ecp_8h.html#a8dd54f6888aed50a45a3ba56af003553">POLARSSL_ECP_TLS_NAMED_CURVE</a> )</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span> </div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span> <span class="comment"> * Next two bytes are the namedcurve value</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  tls_id = *(*buf)++;</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  tls_id <<= 8;</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  tls_id |= *(*buf)++;</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span> </div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keywordflow">if</span>( ( curve_info = <a class="code" href="ecp_8h.html#aba258324a27e636af7defe9c8112b1b0">ecp_curve_info_from_tls_id</a>( tls_id ) ) == NULL )</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a87be7bf7e5b042e8ee3b73dbe5f3cc3a">POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</a> );</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span> </div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keywordflow">return</span> <a class="code" href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a>( grp, curve_info-><a class="code" href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">grp_id</a> );</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span> }</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span> </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span> <span class="comment"> * Write the ECParameters record corresponding to a group (RFC 4492)</span></div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#aadadbb4be3812ecf219cfd650b78c875">ecp_tls_write_group</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keywordtype">size_t</span> *olen,</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *buf, <span class="keywordtype">size_t</span> blen )</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span> {</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keyword">const</span> <a class="code" href="structecp__curve__info.html">ecp_curve_info</a> *curve_info;</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> </div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="keywordflow">if</span>( ( curve_info = <a class="code" href="ecp_8h.html#aa101fa81835bbae3d81cc47ac6ba720a">ecp_curve_info_from_grp_id</a>( grp-><a class="code" href="structecp__group.html#a8f7b8f453c94152dcb7227639511f323">id</a> ) ) == NULL )</div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span> </div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span> <span class="comment"> * We are going to write 3 bytes (see below)</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  *olen = 3;</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">if</span>( blen < *olen )</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a5dde870beebeca665d636398cd084fba">POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</a> );</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span> </div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span> <span class="comment"> * First byte is curve_type, always named_curve</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  *buf++ = <a class="code" href="ecp_8h.html#a8dd54f6888aed50a45a3ba56af003553">POLARSSL_ECP_TLS_NAMED_CURVE</a>;</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span> </div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span> <span class="comment"> * Next two bytes are the namedcurve value</span></div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  buf[0] = curve_info-><a class="code" href="structecp__curve__info.html#a81d5e6fde72a77fe4124f09507f6f00e">tls_id</a> >> 8;</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  buf[1] = curve_info-><a class="code" href="structecp__curve__info.html#a81d5e6fde72a77fe4124f09507f6f00e">tls_id</a> & 0xFF;</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span> </div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span> }</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span> </div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span> <span class="comment"> * Wrapper around fast quasi-modp functions, with fall-back to mpi_mod_mpi.</span></div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span> <span class="comment"> * See the documentation of struct ecp_group.</span></div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span> <span class="comment"> * This function is in the critial loop for ecp_mul, so pay attention to perf.</span></div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_modp( <a class="code" href="structmpi.html">mpi</a> *N, <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp )</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span> {</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span> </div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#afcdbaba12db0549629c81baeba2fd738">modp</a> == NULL )</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  <span class="keywordflow">return</span>( <a class="code" href="bignum_8h.html#a075d3cf21cb3733e5f0a872e72b0cd15">mpi_mod_mpi</a>( N, N, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span> </div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  <span class="comment">/* N->s < 0 is a much faster test, which fails only if N is 0 */</span></div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keywordflow">if</span>( ( N-><a class="code" href="structmpi.html#ad44e921903bdc7fcc1cadad14784a59a">s</a> < 0 && <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( N, 0 ) != 0 ) ||</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( N ) > 2 * grp-><a class="code" href="structecp__group.html#a3a813481e3d2548e372bab92c50f4d48">pbits</a> )</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  {</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  }</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span> </div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( grp-><a class="code" href="structecp__group.html#afcdbaba12db0549629c81baeba2fd738">modp</a>( N ) );</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span> </div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="comment">/* N->s < 0 is a much faster test, which fails only if N is 0 */</span></div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordflow">while</span>( N-><a class="code" href="structmpi.html#ad44e921903bdc7fcc1cadad14784a59a">s</a> < 0 && <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( N, 0 ) != 0 )</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( N, N, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span> </div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( N, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) >= 0 )</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="comment">/* we known P, N and the result are positive */</span></div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a19d09ef62c09539feb7f9b3045cfb1fe">mpi_sub_abs</a>( N, N, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span> </div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span> cleanup:</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> }</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span> <span class="comment"> * Fast mod-p functions expect their argument to be in the 0..p^2 range.</span></div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span> <span class="comment"> * In order to guarantee that, we need to ensure that operands of</span></div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span> <span class="comment"> * mpi_mul_mpi are in the 0..p range. So, after each operation we will</span></div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span> <span class="comment"> * bring the result back to this range.</span></div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span> <span class="comment"> * The following macros are shortcuts for doing that.</span></div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span> </div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span> <span class="comment"> * Reduce a mpi mod p in-place, general case, to use after mpi_mul_mpi</span></div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span> <span class="preprocessor">#if defined(POLARSSL_SELF_TEST)</span></div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span> <span class="preprocessor"></span><span class="preprocessor">#define INC_MUL_COUNT mul_count++;</span></div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span> <span class="preprocessor"></span><span class="preprocessor">#else</span></div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span> <span class="preprocessor"></span><span class="preprocessor">#define INC_MUL_COUNT</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span> <span class="preprocessor">#define MOD_MUL( N ) do { MPI_CHK( ecp_modp( &N, grp ) ); INC_MUL_COUNT } \</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span> <span class="preprocessor"> while( 0 )</span></div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span> <span class="comment"> * Reduce a mpi mod p in-place, to use after mpi_sub_mpi</span></div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span> <span class="comment"> * N->s < 0 is a very fast test, which fails only if N is 0</span></div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span> <span class="preprocessor">#define MOD_SUB( N ) \</span></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span> <span class="preprocessor"> while( N.s < 0 && mpi_cmp_int( &N, 0 ) != 0 ) \</span></div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span> <span class="preprocessor"> MPI_CHK( mpi_add_mpi( &N, &N, &grp->P ) )</span></div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span> <span class="comment"> * Reduce a mpi mod p in-place, to use after mpi_add_mpi and mpi_mul_int.</span></div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span> <span class="comment"> * We known P, N and the result are positive, so sub_abs is correct, and</span></div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span> <span class="comment"> * a bit faster.</span></div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span> <span class="preprocessor">#define MOD_ADD( N ) \</span></div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span> <span class="preprocessor"> while( mpi_cmp_mpi( &N, &grp->P ) >= 0 ) \</span></div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span> <span class="preprocessor"> MPI_CHK( mpi_sub_abs( &N, &N, &grp->P ) )</span></div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span> <span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="comment"> * For curves in short Weierstrass form, we do all the internal operations in</span></div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span> <span class="comment"> * Jacobian coordinates.</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="comment"> * For multiplication, we'll use a comb method with coutermeasueres against</span></div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span> <span class="comment"> * SPA, hence timing attacks.</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span> </div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span> <span class="comment"> * Normalize jacobian coordinates so that Z == 0 || Z == 1 (GECC 3.2.1)</span></div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span> <span class="comment"> * Cost: 1N := 1I + 3M + 1S</span></div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_normalize_jac( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span> {</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <a class="code" href="structmpi.html">mpi</a> Zi, ZZi;</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span> </div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) == 0 )</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span> </div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Zi ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &ZZi );</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span> </div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment"> * X = X / Z^2 mod p</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a090616da16b87653c025874e1675da79">mpi_inv_mod</a>( &Zi, &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &ZZi, &Zi, &Zi ) ); MOD_MUL( ZZi );</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &ZZi ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span> </div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span> <span class="comment"> * Y = Y / Z^3 mod p</span></div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &ZZi ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> );</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &Zi ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> );</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span> </div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span> <span class="comment"> * Z = 1</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) );</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span> </div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span> cleanup:</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span> </div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Zi ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &ZZi );</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span> </div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span> }</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span> </div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span> <span class="comment"> * Normalize jacobian coordinates of an array of (pointers to) points,</span></div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span> <span class="comment"> * using Montgomery's trick to perform only one inversion mod P.</span></div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span> <span class="comment"> * (See for example Cohen's "A Course in Computational Algebraic Number</span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span> <span class="comment"> * Theory", Algorithm 10.3.4.)</span></div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span> <span class="comment"> * Warning: fails (returning an error) if one of the points is zero!</span></div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span> <span class="comment"> * This should never happen, see choice of w in ecp_mul_comb().</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span> <span class="comment"> * Cost: 1N(t) := 1I + (6t - 3)M + 1S</span></div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_normalize_jac_many( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp,</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <a class="code" href="structecp__point.html">ecp_point</a> *T[], <span class="keywordtype">size_t</span> t_len )</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span> {</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <a class="code" href="structmpi.html">mpi</a> *c, u, Zi, ZZi;</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span> </div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  <span class="keywordflow">if</span>( t_len < 2 )</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="keywordflow">return</span>( ecp_normalize_jac( grp, *T ) );</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span> </div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <span class="keywordflow">if</span>( ( c = (<a class="code" href="structmpi.html">mpi</a> *) <a class="code" href="test__suite__aes_8cbc_8c.html#a2a0cfb9e59f28e2a1a5fd1880fb20d4b">polarssl_malloc</a>( t_len * <span class="keyword">sizeof</span>( <a class="code" href="structmpi.html">mpi</a> ) ) ) == NULL )</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a01a0e6796f75c7bdd1a41312c4fa60c1">POLARSSL_ERR_ECP_MALLOC_FAILED</a> );</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span> </div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &u ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Zi ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &ZZi );</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="keywordflow">for</span>( i = 0; i < t_len; i++ )</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &c[i] );</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span> </div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span> <span class="comment"> * c[i] = Z_0 * ... * Z_i</span></div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &c[0], &T[0]->Z ) );</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  <span class="keywordflow">for</span>( i = 1; i < t_len; i++ )</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  {</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &c[i], &c[i-1], &T[i]->Z ) );</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  MOD_MUL( c[i] );</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  }</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span> </div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span> <span class="comment"> * u = 1 / (Z_0 * ... * Z_n) mod P</span></div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a090616da16b87653c025874e1675da79">mpi_inv_mod</a>( &u, &c[t_len-1], &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span> </div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <span class="keywordflow">for</span>( i = t_len - 1; ; i-- )</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  {</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span> <span class="comment"> * Zi = 1 / Z_i mod p</span></div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span> <span class="comment"> * u = 1 / (Z_0 * ... * Z_i) mod P</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  <span class="keywordflow">if</span>( i == 0 ) {</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &Zi, &u ) );</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  }</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  {</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &Zi, &u, &c[i-1] ) ); MOD_MUL( Zi );</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &u, &u, &T[i]->Z ) ); MOD_MUL( u );</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  }</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span> </div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span> <span class="comment"> * proceed as in normalize()</span></div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &ZZi, &Zi, &Zi ) ); MOD_MUL( ZZi );</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T[i]->X, &T[i]->X, &ZZi ) ); MOD_MUL( T[i]->X );</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T[i]->Y, &T[i]->Y, &ZZi ) ); MOD_MUL( T[i]->Y );</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T[i]->Y, &T[i]->Y, &Zi ) ); MOD_MUL( T[i]->Y );</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span> </div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span> <span class="comment"> * Post-precessing: reclaim some memory by shrinking coordinates</span></div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span> <span class="comment"> * - not storing Z (always 1)</span></div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span> <span class="comment"> * - shrinking other coordinates, but still keeping the same number of</span></div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span> <span class="comment"> * limbs as P, as otherwise it will too likely be regrown too fast.</span></div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adaa24d645b3940d17fb6ac1d6fd17408">mpi_shrink</a>( &T[i]->X, grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a>.<a class="code" href="structmpi.html#acc8d6d92112b326fcac7c6eff002feb1">n</a> ) );</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adaa24d645b3940d17fb6ac1d6fd17408">mpi_shrink</a>( &T[i]->Y, grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a>.<a class="code" href="structmpi.html#acc8d6d92112b326fcac7c6eff002feb1">n</a> ) );</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T[i]->Z );</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span> </div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="keywordflow">if</span>( i == 0 )</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  }</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span> </div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span> cleanup:</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span> </div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &u ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Zi ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &ZZi );</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  <span class="keywordflow">for</span>( i = 0; i < t_len; i++ )</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &c[i] );</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#a3c8219c194813f302bf78fe73566cb2d">polarssl_free</a>( c );</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span> </div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span> }</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span> </div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span> <span class="comment"> * Conditional point inversion: Q -> -Q = (Q.X, -Q.Y, Q.Z) without leak.</span></div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span> <span class="comment"> * "inv" must be 0 (don't invert) or 1 (invert) or the result will be invalid</span></div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_safe_invert_jac( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp,</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <a class="code" href="structecp__point.html">ecp_point</a> *Q,</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> inv )</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span> {</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> nonzero;</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  <a class="code" href="structmpi.html">mpi</a> mQY;</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span> </div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &mQY );</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span> </div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  <span class="comment">/* Use the fact that -Q.Y mod P = P - Q.Y unless Q.Y == 0 */</span></div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &mQY, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a>, &Q-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) );</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  nonzero = <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &Q-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, 0 ) != 0;</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a4022aef0c79b5a7121ee294cc139ae12">mpi_safe_cond_assign</a>( &Q-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &mQY, inv & nonzero ) );</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span> </div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span> cleanup:</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &mQY );</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span> </div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span> }</div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span> </div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span> <span class="comment"> * Point doubling R = 2 P, Jacobian coordinates</span></div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span> <span class="comment"> * http://www.hyperelliptic.org/EFD/g1p/auto-code/shortw/jacobian/doubling/dbl-2007-bl.op3</span></div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span> <span class="comment"> * with heavy variable renaming, some reordering and one minor modification</span></div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span> <span class="comment"> * (a = 2 * b, c = d - 2a replaced with c = d, c = c - b, c = c - b)</span></div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span> <span class="comment"> * in order to use a lot less intermediate variables (6 vs 25).</span></div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span> <span class="comment"> * Cost: 1D := 2M + 8S</span></div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_double_jac( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P )</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span> {</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  <a class="code" href="structmpi.html">mpi</a> T1, T2, T3, X3, Y3, Z3;</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span> </div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span> <span class="preprocessor">#if defined(POLARSSL_SELF_TEST)</span></div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span> <span class="preprocessor"></span> dbl_count++;</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T1 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T2 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T3 );</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &X3 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Y3 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Z3 );</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span> </div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T3, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( T3 );</div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T2, &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) ); MOD_MUL( T2 );</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &Y3, &T2, &T2 ) ); MOD_MUL( Y3 );</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &X3, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &T2 ) ); MOD_ADD( X3 );</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &X3, &X3, &X3 ) ); MOD_MUL( X3 );</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X3, &X3, &Y3 ) ); MOD_SUB( X3 );</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X3, &X3, &T3 ) ); MOD_SUB( X3 );</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a>( &T1, &X3, 2 ) ); MOD_ADD( T1 );</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &Z3, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( Z3 );</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &X3, &Z3, &Z3 ) ); MOD_MUL( X3 );</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a>( &T3, &T3, 3 ) ); MOD_ADD( T3 );</div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span> </div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <span class="comment">/* Special case for A = -3 */</span></div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> == NULL )</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  {</div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a>( &X3, &X3, 3 ) );</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  X3.<a class="code" href="structmpi.html#ad44e921903bdc7fcc1cadad14784a59a">s</a> = -1; <span class="comment">/* mpi_mul_int doesn't handle negative numbers */</span></div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  MOD_SUB( X3 );</div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  }</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &X3, &X3, &grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a> ) ); MOD_MUL( X3 );</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span> </div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &T3, &T3, &X3 ) ); MOD_ADD( T3 );</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &X3, &T3, &T3 ) ); MOD_MUL( X3 );</div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X3, &X3, &T1 ) ); MOD_SUB( X3 );</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X3, &X3, &T1 ) ); MOD_SUB( X3 );</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &T1, &T1, &X3 ) ); MOD_SUB( T1 );</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T1, &T3, &T1 ) ); MOD_MUL( T1 );</div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a>( &T3, &Y3, 8 ) ); MOD_ADD( T3 );</div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &Y3, &T1, &T3 ) ); MOD_SUB( Y3 );</div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &T1, &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_ADD( T1 );</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T1, &T1, &T1 ) ); MOD_MUL( T1 );</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &T1, &T1, &T2 ) ); MOD_SUB( T1 );</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &Z3, &T1, &Z3 ) ); MOD_SUB( Z3 );</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span> </div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &X3 ) );</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &Y3 ) );</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &Z3 ) );</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span> </div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span> cleanup:</div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T1 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T2 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T3 );</div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &X3 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Y3 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Z3 );</div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span> </div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span> }</div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span> </div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span> <span class="comment">/*</span></div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span> <span class="comment"> * Addition: R = P + Q, mixed affine-Jacobian coordinates (GECC 3.22)</span></div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span> <span class="comment"> * The coordinates of Q must be normalized (= affine),</span></div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span> <span class="comment"> * but those of P don't need to. R is not normalized.</span></div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span> <span class="comment"> * Special cases: (1) P or Q is zero, (2) R is zero, (3) P == Q.</span></div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span> <span class="comment"> * None of these cases can happen as intermediate step in ecp_mul_comb():</span></div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span> <span class="comment"> * - at each step, P, Q and R are multiples of the base point, the factor</span></div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span> <span class="comment"> * being less than its order, so none of them is zero;</span></div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span> <span class="comment"> * - Q is an odd multiple of the base point, P an even multiple,</span></div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span> <span class="comment"> * due to the choice of precomputed points in the modified comb method.</span></div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span> <span class="comment"> * So branches for these cases do not leak secret information.</span></div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span> <span class="comment"> * We accept Q->Z being unset (saving memory in tables) as meaning 1.</span></div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span> <span class="comment"> * Cost: 1A := 8M + 3S</span></div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_add_mixed( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *Q )</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span> {</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  <a class="code" href="structmpi.html">mpi</a> T1, T2, T3, T4, X, Y, Z;</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span> </div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span> <span class="preprocessor">#if defined(POLARSSL_SELF_TEST)</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span> <span class="preprocessor"></span> add_count++;</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span> <span class="comment"> * Trivial cases: P == 0 or Q == 0 (case 1)</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) == 0 )</div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( R, Q ) );</div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span> </div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  <span class="keywordflow">if</span>( Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> != NULL && <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) == 0 )</div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( R, P ) );</div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span> </div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span> <span class="comment"> * Make sure Q coordinates are normalized</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  <span class="keywordflow">if</span>( Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> != NULL && <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) != 0 )</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span> </div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T1 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T2 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T3 ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &T4 );</div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &X ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Y ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &Z );</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span> </div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T1, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( T1 );</div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T2, &T1, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( T2 );</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T1, &T1, &Q-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( T1 );</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T2, &T2, &Q-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) ); MOD_MUL( T2 );</div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &T1, &T1, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_SUB( T1 );</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &T2, &T2, &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) ); MOD_SUB( T2 );</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span> </div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  <span class="comment">/* Special cases (2) and (3) */</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &T1, 0 ) == 0 )</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  {</div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &T2, 0 ) == 0 )</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  {</div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  ret = ecp_double_jac( grp, R, P );</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  <span class="keywordflow">goto</span> cleanup;</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  }</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  {</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  ret = <a class="code" href="ecp_8h.html#a35010124f97bfd47b2d9cc35fb682291">ecp_set_zero</a>( R );</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  <span class="keywordflow">goto</span> cleanup;</div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  }</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  }</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span> </div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &Z, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &T1 ) ); MOD_MUL( Z );</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T3, &T1, &T1 ) ); MOD_MUL( T3 );</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T4, &T3, &T1 ) ); MOD_MUL( T4 );</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T3, &T3, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( T3 );</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a>( &T1, &T3, 2 ) ); MOD_ADD( T1 );</div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &X, &T2, &T2 ) ); MOD_MUL( X );</div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X, &X, &T1 ) ); MOD_SUB( X );</div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &X, &X, &T4 ) ); MOD_SUB( X );</div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &T3, &T3, &X ) ); MOD_SUB( T3 );</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T3, &T3, &T2 ) ); MOD_MUL( T3 );</div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &T4, &T4, &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) ); MOD_MUL( T4 );</div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &Y, &T3, &T4 ) ); MOD_SUB( Y );</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span> </div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &X ) );</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &Y ) );</div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &Z ) );</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span> </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span> cleanup:</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span> </div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T1 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T2 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T3 ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &T4 );</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &X ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Y ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &Z );</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span> </div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span> }</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span> </div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span> <span class="comment"> * Addition: R = P + Q, result's coordinates normalized</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a59b4740379580218d00c3f0904dda21f">ecp_add</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *Q )</div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span> {</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span> </div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <span class="keywordflow">if</span>( ecp_get_type( grp ) != POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a87be7bf7e5b042e8ee3b73dbe5f3cc3a">POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</a> );</div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span> </div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_add_mixed( grp, R, P, Q ) );</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_jac( grp, R ) );</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span> </div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span> cleanup:</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span> }</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span> </div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span> <span class="comment"> * Subtraction: R = P - Q, result's coordinates normalized</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a19c757a41a5c79d00ae86469b5c6e798">ecp_sub</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *Q )</div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span> {</div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  <a class="code" href="structecp__point.html">ecp_point</a> mQ;</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span> </div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &mQ );</div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span> </div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  <span class="keywordflow">if</span>( ecp_get_type( grp ) != POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a87be7bf7e5b042e8ee3b73dbe5f3cc3a">POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</a> );</div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span> </div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  <span class="comment">/* mQ = - Q */</span></div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( &mQ, Q ) );</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &mQ.<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, 0 ) != 0 )</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &mQ.<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a>, &mQ.<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) );</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span> </div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_add_mixed( grp, R, P, &mQ ) );</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_jac( grp, R ) );</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span> </div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span> cleanup:</div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &mQ );</div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span> </div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span> }</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span> </div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span> <span class="comment"> * Randomize jacobian coordinates:</span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span> <span class="comment"> * (X, Y, Z) -> (l^2 X, l^3 Y, l Z) for random l</span></div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span> <span class="comment"> * This is sort of the reverse operation of ecp_normalize_jac().</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span> <span class="comment"> * This countermeasure was first suggested in [2].</span></div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_randomize_jac( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *pt,</div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>), <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span> {</div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>  <a class="code" href="structmpi.html">mpi</a> l, ll;</div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  <span class="keywordtype">size_t</span> p_size = ( grp-><a class="code" href="structecp__group.html#a3a813481e3d2548e372bab92c50f4d48">pbits</a> + 7 ) / 8;</div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  <span class="keywordtype">int</span> count = 0;</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span> </div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &l ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &ll );</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span> </div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  <span class="comment">/* Generate l such that 1 < l < p */</span></div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>  <span class="keywordflow">do</span></div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>  {</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>  <a class="code" href="bignum_8h.html#a5ac8858041a8d5b49c11d38fd4069975">mpi_fill_random</a>( &l, p_size, f_rng, p_rng );</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span> </div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &l, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) >= 0 )</div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a01de1543da79d0ad0f58916d608f6ff8">mpi_shift_r</a>( &l, 1 ) );</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span> </div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  <span class="keywordflow">if</span>( count++ > 10 )</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a8de4c3d074d63c08f314012b604c98c8">POLARSSL_ERR_ECP_RANDOM_FAILED</a> );</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  }</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &l, 1 ) <= 0 );</div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span> </div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  <span class="comment">/* Z = l * Z */</span></div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &l ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span> </div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>  <span class="comment">/* X = l^2 * X */</span></div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &ll, &l, &l ) ); MOD_MUL( ll );</div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &ll ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span> </div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>  <span class="comment">/* Y = l^3 * Y */</span></div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &ll, &ll, &l ) ); MOD_MUL( ll );</div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &ll ) ); MOD_MUL( pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> );</div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span> </div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span> cleanup:</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &l ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &ll );</div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span> </div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span> }</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span> </div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span> <span class="comment"> * Check and define parameters used by the comb method (see below for details)</span></div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span> <span class="preprocessor">#if POLARSSL_ECP_WINDOW_SIZE < 2 || POLARSSL_ECP_WINDOW_SIZE > 7</span></div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span> <span class="preprocessor"></span><span class="preprocessor">#error "POLARSSL_ECP_WINDOW_SIZE out of bounds"</span></div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span> <span class="comment">/* d = ceil( n / w ) */</span></div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span> <span class="preprocessor">#define COMB_MAX_D ( POLARSSL_ECP_MAX_BITS + 1 ) / 2</span></div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span> <span class="comment">/* number of precomputed points */</span></div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span> <span class="preprocessor">#define COMB_MAX_PRE ( 1 << ( POLARSSL_ECP_WINDOW_SIZE - 1 ) )</span></div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span> <span class="comment"> * Compute the representation of m that will be used with our comb method.</span></div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span> <span class="comment"> * The basic comb method is described in GECC 3.44 for example. We use a</span></div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span> <span class="comment"> * modified version that provides resistance to SPA by avoiding zero</span></div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span> <span class="comment"> * digits in the representation as in [3]. We modify the method further by</span></div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span> <span class="comment"> * requiring that all K_i be odd, which has the small cost that our</span></div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span> <span class="comment"> * representation uses one more K_i, due to carries.</span></div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span> <span class="comment"> * Also, for the sake of compactness, only the seven low-order bits of x[i]</span></div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span> <span class="comment"> * are used to represent K_i, and the msb of x[i] encodes the the sign (s_i in</span></div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span> <span class="comment"> * the paper): it is set if and only if if s_i == -1;</span></div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span> <span class="comment"> * Calling conventions:</span></div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span> <span class="comment"> * - x is an array of size d + 1</span></div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span> <span class="comment"> * - w is the size, ie number of teeth, of the comb, and must be between</span></div>
<div class="line"><a name="l01196"></a><span class="lineno"> 1196</span> <span class="comment"> * 2 and 7 (in practice, between 2 and POLARSSL_ECP_WINDOW_SIZE)</span></div>
<div class="line"><a name="l01197"></a><span class="lineno"> 1197</span> <span class="comment"> * - m is the MPI, expected to be odd and such that bitlength(m) <= w * d</span></div>
<div class="line"><a name="l01198"></a><span class="lineno"> 1198</span> <span class="comment"> * (the result will be incorrect if these assumptions are not satisfied)</span></div>
<div class="line"><a name="l01199"></a><span class="lineno"> 1199</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01200"></a><span class="lineno"> 1200</span> <span class="keyword">static</span> <span class="keywordtype">void</span> ecp_comb_fixed( <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> x[], <span class="keywordtype">size_t</span> d,</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> w, <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *m )</div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span> {</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>  <span class="keywordtype">size_t</span> i, j;</div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> c, cc, adjust;</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span> </div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>  memset( x, 0, d+1 );</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span> </div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>  <span class="comment">/* First get the classical comb values (except for x_d = 0) */</span></div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  <span class="keywordflow">for</span>( i = 0; i < d; i++ )</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  <span class="keywordflow">for</span>( j = 0; j < w; j++ )</div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  x[i] |= <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( m, i + d * j ) << j;</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span> </div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>  <span class="comment">/* Now make sure x_1 .. x_d are odd */</span></div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>  c = 0;</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>  <span class="keywordflow">for</span>( i = 1; i <= d; i++ )</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>  {</div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>  <span class="comment">/* Add carry and update it */</span></div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>  cc = x[i] & c;</div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  x[i] = x[i] ^ c;</div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>  c = cc;</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span> </div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>  <span class="comment">/* Adjust if needed, avoiding branches */</span></div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>  adjust = 1 - ( x[i] & 0x01 );</div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  c |= x[i] & ( x[i-1] * adjust );</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  x[i] = x[i] ^ ( x[i-1] * adjust );</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>  x[i-1] |= adjust << 7;</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>  }</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span> }</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span> </div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span> <span class="comment"> * Precompute points for the comb method</span></div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01233"></a><span class="lineno"> 1233</span> <span class="comment"> * If i = i_{w-1} ... i_1 is the binary representation of i, then</span></div>
<div class="line"><a name="l01234"></a><span class="lineno"> 1234</span> <span class="comment"> * T[i] = i_{w-1} 2^{(w-1)d} P + ... + i_1 2^d P + P</span></div>
<div class="line"><a name="l01235"></a><span class="lineno"> 1235</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01236"></a><span class="lineno"> 1236</span> <span class="comment"> * T must be able to hold 2^{w - 1} elements</span></div>
<div class="line"><a name="l01237"></a><span class="lineno"> 1237</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01238"></a><span class="lineno"> 1238</span> <span class="comment"> * Cost: d(w-1) D + (2^{w-1} - 1) A + 1 N(w-1) + 1 N(2^{w-1} - 1)</span></div>
<div class="line"><a name="l01239"></a><span class="lineno"> 1239</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01240"></a><span class="lineno"> 1240</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_precompute_comb( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp,</div>
<div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>  <a class="code" href="structecp__point.html">ecp_point</a> T[], <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> w, <span class="keywordtype">size_t</span> d )</div>
<div class="line"><a name="l01243"></a><span class="lineno"> 1243</span> {</div>
<div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> i, k;</div>
<div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>  <span class="keywordtype">size_t</span> j;</div>
<div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>  <a class="code" href="structecp__point.html">ecp_point</a> *cur, *TT[COMB_MAX_PRE - 1];</div>
<div class="line"><a name="l01248"></a><span class="lineno"> 1248</span> </div>
<div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01250"></a><span class="lineno"> 1250</span> <span class="comment"> * Set T[0] = P and</span></div>
<div class="line"><a name="l01251"></a><span class="lineno"> 1251</span> <span class="comment"> * T[2^{l-1}] = 2^{dl} P for l = 1 .. w-1 (this is not the final value)</span></div>
<div class="line"><a name="l01252"></a><span class="lineno"> 1252</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( &T[0], P ) );</div>
<div class="line"><a name="l01254"></a><span class="lineno"> 1254</span> </div>
<div class="line"><a name="l01255"></a><span class="lineno"> 1255</span>  k = 0;</div>
<div class="line"><a name="l01256"></a><span class="lineno"> 1256</span>  <span class="keywordflow">for</span>( i = 1; i < ( 1U << ( w - 1 ) ); i <<= 1 )</div>
<div class="line"><a name="l01257"></a><span class="lineno"> 1257</span>  {</div>
<div class="line"><a name="l01258"></a><span class="lineno"> 1258</span>  cur = T + i;</div>
<div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( cur, T + ( i >> 1 ) ) );</div>
<div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>  <span class="keywordflow">for</span>( j = 0; j < d; j++ )</div>
<div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_double_jac( grp, cur, cur ) );</div>
<div class="line"><a name="l01262"></a><span class="lineno"> 1262</span> </div>
<div class="line"><a name="l01263"></a><span class="lineno"> 1263</span>  TT[k++] = cur;</div>
<div class="line"><a name="l01264"></a><span class="lineno"> 1264</span>  }</div>
<div class="line"><a name="l01265"></a><span class="lineno"> 1265</span> </div>
<div class="line"><a name="l01266"></a><span class="lineno"> 1266</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_jac_many( grp, TT, k ) );</div>
<div class="line"><a name="l01267"></a><span class="lineno"> 1267</span> </div>
<div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01269"></a><span class="lineno"> 1269</span> <span class="comment"> * Compute the remaining ones using the minimal number of additions</span></div>
<div class="line"><a name="l01270"></a><span class="lineno"> 1270</span> <span class="comment"> * Be careful to update T[2^l] only after using it!</span></div>
<div class="line"><a name="l01271"></a><span class="lineno"> 1271</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01272"></a><span class="lineno"> 1272</span>  k = 0;</div>
<div class="line"><a name="l01273"></a><span class="lineno"> 1273</span>  <span class="keywordflow">for</span>( i = 1; i < ( 1U << ( w - 1 ) ); i <<= 1 )</div>
<div class="line"><a name="l01274"></a><span class="lineno"> 1274</span>  {</div>
<div class="line"><a name="l01275"></a><span class="lineno"> 1275</span>  j = i;</div>
<div class="line"><a name="l01276"></a><span class="lineno"> 1276</span>  <span class="keywordflow">while</span>( j-- )</div>
<div class="line"><a name="l01277"></a><span class="lineno"> 1277</span>  {</div>
<div class="line"><a name="l01278"></a><span class="lineno"> 1278</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_add_mixed( grp, &T[i + j], &T[j], &T[i] ) );</div>
<div class="line"><a name="l01279"></a><span class="lineno"> 1279</span>  TT[k++] = &T[i + j];</div>
<div class="line"><a name="l01280"></a><span class="lineno"> 1280</span>  }</div>
<div class="line"><a name="l01281"></a><span class="lineno"> 1281</span>  }</div>
<div class="line"><a name="l01282"></a><span class="lineno"> 1282</span> </div>
<div class="line"><a name="l01283"></a><span class="lineno"> 1283</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_jac_many( grp, TT, k ) );</div>
<div class="line"><a name="l01284"></a><span class="lineno"> 1284</span> </div>
<div class="line"><a name="l01285"></a><span class="lineno"> 1285</span> cleanup:</div>
<div class="line"><a name="l01286"></a><span class="lineno"> 1286</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01287"></a><span class="lineno"> 1287</span> }</div>
<div class="line"><a name="l01288"></a><span class="lineno"> 1288</span> </div>
<div class="line"><a name="l01289"></a><span class="lineno"> 1289</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01290"></a><span class="lineno"> 1290</span> <span class="comment"> * Select precomputed point: R = sign(i) * T[ abs(i) / 2 ]</span></div>
<div class="line"><a name="l01291"></a><span class="lineno"> 1291</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01292"></a><span class="lineno"> 1292</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_select_comb( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01293"></a><span class="lineno"> 1293</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> T[], <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> t_len,</div>
<div class="line"><a name="l01294"></a><span class="lineno"> 1294</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> i )</div>
<div class="line"><a name="l01295"></a><span class="lineno"> 1295</span> {</div>
<div class="line"><a name="l01296"></a><span class="lineno"> 1296</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01297"></a><span class="lineno"> 1297</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> ii, j;</div>
<div class="line"><a name="l01298"></a><span class="lineno"> 1298</span> </div>
<div class="line"><a name="l01299"></a><span class="lineno"> 1299</span>  <span class="comment">/* Ignore the "sign" bit and scale down */</span></div>
<div class="line"><a name="l01300"></a><span class="lineno"> 1300</span>  ii = ( i & 0x7Fu ) >> 1;</div>
<div class="line"><a name="l01301"></a><span class="lineno"> 1301</span> </div>
<div class="line"><a name="l01302"></a><span class="lineno"> 1302</span>  <span class="comment">/* Read the whole table to thwart cache-based timing attacks */</span></div>
<div class="line"><a name="l01303"></a><span class="lineno"> 1303</span>  <span class="keywordflow">for</span>( j = 0; j < t_len; j++ )</div>
<div class="line"><a name="l01304"></a><span class="lineno"> 1304</span>  {</div>
<div class="line"><a name="l01305"></a><span class="lineno"> 1305</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a4022aef0c79b5a7121ee294cc139ae12">mpi_safe_cond_assign</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &T[j].<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, j == ii ) );</div>
<div class="line"><a name="l01306"></a><span class="lineno"> 1306</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a4022aef0c79b5a7121ee294cc139ae12">mpi_safe_cond_assign</a>( &R-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &T[j].<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, j == ii ) );</div>
<div class="line"><a name="l01307"></a><span class="lineno"> 1307</span>  }</div>
<div class="line"><a name="l01308"></a><span class="lineno"> 1308</span> </div>
<div class="line"><a name="l01309"></a><span class="lineno"> 1309</span>  <span class="comment">/* Safely invert result if i is "negative" */</span></div>
<div class="line"><a name="l01310"></a><span class="lineno"> 1310</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_safe_invert_jac( grp, R, i >> 7 ) );</div>
<div class="line"><a name="l01311"></a><span class="lineno"> 1311</span> </div>
<div class="line"><a name="l01312"></a><span class="lineno"> 1312</span> cleanup:</div>
<div class="line"><a name="l01313"></a><span class="lineno"> 1313</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01314"></a><span class="lineno"> 1314</span> }</div>
<div class="line"><a name="l01315"></a><span class="lineno"> 1315</span> </div>
<div class="line"><a name="l01316"></a><span class="lineno"> 1316</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01317"></a><span class="lineno"> 1317</span> <span class="comment"> * Core multiplication algorithm for the (modified) comb method.</span></div>
<div class="line"><a name="l01318"></a><span class="lineno"> 1318</span> <span class="comment"> * This part is actually common with the basic comb method (GECC 3.44)</span></div>
<div class="line"><a name="l01319"></a><span class="lineno"> 1319</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01320"></a><span class="lineno"> 1320</span> <span class="comment"> * Cost: d A + d D + 1 R</span></div>
<div class="line"><a name="l01321"></a><span class="lineno"> 1321</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01322"></a><span class="lineno"> 1322</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_mul_comb_core( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01323"></a><span class="lineno"> 1323</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> T[], <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> t_len,</div>
<div class="line"><a name="l01324"></a><span class="lineno"> 1324</span>  <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> x[], <span class="keywordtype">size_t</span> d,</div>
<div class="line"><a name="l01325"></a><span class="lineno"> 1325</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>),</div>
<div class="line"><a name="l01326"></a><span class="lineno"> 1326</span>  <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01327"></a><span class="lineno"> 1327</span> {</div>
<div class="line"><a name="l01328"></a><span class="lineno"> 1328</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01329"></a><span class="lineno"> 1329</span>  <a class="code" href="structecp__point.html">ecp_point</a> Txi;</div>
<div class="line"><a name="l01330"></a><span class="lineno"> 1330</span>  <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l01331"></a><span class="lineno"> 1331</span> </div>
<div class="line"><a name="l01332"></a><span class="lineno"> 1332</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &Txi );</div>
<div class="line"><a name="l01333"></a><span class="lineno"> 1333</span> </div>
<div class="line"><a name="l01334"></a><span class="lineno"> 1334</span>  <span class="comment">/* Start with a non-zero point and randomize its coordinates */</span></div>
<div class="line"><a name="l01335"></a><span class="lineno"> 1335</span>  i = d;</div>
<div class="line"><a name="l01336"></a><span class="lineno"> 1336</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_select_comb( grp, R, T, t_len, x[i] ) );</div>
<div class="line"><a name="l01337"></a><span class="lineno"> 1337</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) );</div>
<div class="line"><a name="l01338"></a><span class="lineno"> 1338</span>  <span class="keywordflow">if</span>( f_rng != 0 )</div>
<div class="line"><a name="l01339"></a><span class="lineno"> 1339</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_randomize_jac( grp, R, f_rng, p_rng ) );</div>
<div class="line"><a name="l01340"></a><span class="lineno"> 1340</span> </div>
<div class="line"><a name="l01341"></a><span class="lineno"> 1341</span>  <span class="keywordflow">while</span>( i-- != 0 )</div>
<div class="line"><a name="l01342"></a><span class="lineno"> 1342</span>  {</div>
<div class="line"><a name="l01343"></a><span class="lineno"> 1343</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_double_jac( grp, R, R ) );</div>
<div class="line"><a name="l01344"></a><span class="lineno"> 1344</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_select_comb( grp, &Txi, T, t_len, x[i] ) );</div>
<div class="line"><a name="l01345"></a><span class="lineno"> 1345</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_add_mixed( grp, R, R, &Txi ) );</div>
<div class="line"><a name="l01346"></a><span class="lineno"> 1346</span>  }</div>
<div class="line"><a name="l01347"></a><span class="lineno"> 1347</span> </div>
<div class="line"><a name="l01348"></a><span class="lineno"> 1348</span> cleanup:</div>
<div class="line"><a name="l01349"></a><span class="lineno"> 1349</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &Txi );</div>
<div class="line"><a name="l01350"></a><span class="lineno"> 1350</span> </div>
<div class="line"><a name="l01351"></a><span class="lineno"> 1351</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01352"></a><span class="lineno"> 1352</span> }</div>
<div class="line"><a name="l01353"></a><span class="lineno"> 1353</span> </div>
<div class="line"><a name="l01354"></a><span class="lineno"> 1354</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01355"></a><span class="lineno"> 1355</span> <span class="comment"> * Multiplication using the comb method,</span></div>
<div class="line"><a name="l01356"></a><span class="lineno"> 1356</span> <span class="comment"> * for curves in short Weierstrass form</span></div>
<div class="line"><a name="l01357"></a><span class="lineno"> 1357</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01358"></a><span class="lineno"> 1358</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_mul_comb( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01359"></a><span class="lineno"> 1359</span>  <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *m, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l01360"></a><span class="lineno"> 1360</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>),</div>
<div class="line"><a name="l01361"></a><span class="lineno"> 1361</span>  <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01362"></a><span class="lineno"> 1362</span> {</div>
<div class="line"><a name="l01363"></a><span class="lineno"> 1363</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01364"></a><span class="lineno"> 1364</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> w, m_is_odd, p_eq_g, pre_len, i;</div>
<div class="line"><a name="l01365"></a><span class="lineno"> 1365</span>  <span class="keywordtype">size_t</span> d;</div>
<div class="line"><a name="l01366"></a><span class="lineno"> 1366</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> k[COMB_MAX_D + 1];</div>
<div class="line"><a name="l01367"></a><span class="lineno"> 1367</span>  <a class="code" href="structecp__point.html">ecp_point</a> *T;</div>
<div class="line"><a name="l01368"></a><span class="lineno"> 1368</span>  <a class="code" href="structmpi.html">mpi</a> M, mm;</div>
<div class="line"><a name="l01369"></a><span class="lineno"> 1369</span> </div>
<div class="line"><a name="l01370"></a><span class="lineno"> 1370</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &M );</div>
<div class="line"><a name="l01371"></a><span class="lineno"> 1371</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &mm );</div>
<div class="line"><a name="l01372"></a><span class="lineno"> 1372</span> </div>
<div class="line"><a name="l01373"></a><span class="lineno"> 1373</span>  <span class="comment">/* we need N to be odd to trnaform m in an odd number, check now */</span></div>
<div class="line"><a name="l01374"></a><span class="lineno"> 1374</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a>, 0 ) != 1 )</div>
<div class="line"><a name="l01375"></a><span class="lineno"> 1375</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01376"></a><span class="lineno"> 1376</span> </div>
<div class="line"><a name="l01377"></a><span class="lineno"> 1377</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01378"></a><span class="lineno"> 1378</span> <span class="comment"> * Minimize the number of multiplications, that is minimize</span></div>
<div class="line"><a name="l01379"></a><span class="lineno"> 1379</span> <span class="comment"> * 10 * d * w + 18 * 2^(w-1) + 11 * d + 7 * w, with d = ceil( nbits / w )</span></div>
<div class="line"><a name="l01380"></a><span class="lineno"> 1380</span> <span class="comment"> * (see costs of the various parts, with 1S = 1M)</span></div>
<div class="line"><a name="l01381"></a><span class="lineno"> 1381</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01382"></a><span class="lineno"> 1382</span>  w = grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> >= 384 ? 5 : 4;</div>
<div class="line"><a name="l01383"></a><span class="lineno"> 1383</span> </div>
<div class="line"><a name="l01384"></a><span class="lineno"> 1384</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01385"></a><span class="lineno"> 1385</span> <span class="comment"> * If P == G, pre-compute a bit more, since this may be re-used later.</span></div>
<div class="line"><a name="l01386"></a><span class="lineno"> 1386</span> <span class="comment"> * Just adding one avoids upping the cost of the first mul too much,</span></div>
<div class="line"><a name="l01387"></a><span class="lineno"> 1387</span> <span class="comment"> * and the memory cost too.</span></div>
<div class="line"><a name="l01388"></a><span class="lineno"> 1388</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01389"></a><span class="lineno"> 1389</span> <span class="preprocessor">#if POLARSSL_ECP_FIXED_POINT_OPTIM == 1</span></div>
<div class="line"><a name="l01390"></a><span class="lineno"> 1390</span> <span class="preprocessor"></span> p_eq_g = ( <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &P-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>.<a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) == 0 &&</div>
<div class="line"><a name="l01391"></a><span class="lineno"> 1391</span>  <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>.<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) == 0 );</div>
<div class="line"><a name="l01392"></a><span class="lineno"> 1392</span>  <span class="keywordflow">if</span>( p_eq_g )</div>
<div class="line"><a name="l01393"></a><span class="lineno"> 1393</span>  w++;</div>
<div class="line"><a name="l01394"></a><span class="lineno"> 1394</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l01395"></a><span class="lineno"> 1395</span> <span class="preprocessor"></span> p_eq_g = 0;</div>
<div class="line"><a name="l01396"></a><span class="lineno"> 1396</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01397"></a><span class="lineno"> 1397</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01398"></a><span class="lineno"> 1398</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01399"></a><span class="lineno"> 1399</span> <span class="comment"> * Make sure w is within bounds.</span></div>
<div class="line"><a name="l01400"></a><span class="lineno"> 1400</span> <span class="comment"> * (The last test is useful only for very small curves in the test suite.)</span></div>
<div class="line"><a name="l01401"></a><span class="lineno"> 1401</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01402"></a><span class="lineno"> 1402</span>  <span class="keywordflow">if</span>( w > <a class="code" href="config-suite-b_8h.html#a387aeb9fc0d3468b3d3fa47e9cabbf10">POLARSSL_ECP_WINDOW_SIZE</a> )</div>
<div class="line"><a name="l01403"></a><span class="lineno"> 1403</span>  w = <a class="code" href="config-suite-b_8h.html#a387aeb9fc0d3468b3d3fa47e9cabbf10">POLARSSL_ECP_WINDOW_SIZE</a>;</div>
<div class="line"><a name="l01404"></a><span class="lineno"> 1404</span>  <span class="keywordflow">if</span>( w >= grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> )</div>
<div class="line"><a name="l01405"></a><span class="lineno"> 1405</span>  w = 2;</div>
<div class="line"><a name="l01406"></a><span class="lineno"> 1406</span> </div>
<div class="line"><a name="l01407"></a><span class="lineno"> 1407</span>  <span class="comment">/* Other sizes that depend on w */</span></div>
<div class="line"><a name="l01408"></a><span class="lineno"> 1408</span>  pre_len = 1U << ( w - 1 );</div>
<div class="line"><a name="l01409"></a><span class="lineno"> 1409</span>  d = ( grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> + w - 1 ) / w;</div>
<div class="line"><a name="l01410"></a><span class="lineno"> 1410</span> </div>
<div class="line"><a name="l01411"></a><span class="lineno"> 1411</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01412"></a><span class="lineno"> 1412</span> <span class="comment"> * Prepare precomputed points: if P == G we want to</span></div>
<div class="line"><a name="l01413"></a><span class="lineno"> 1413</span> <span class="comment"> * use grp->T if already initialized, or initialize it.</span></div>
<div class="line"><a name="l01414"></a><span class="lineno"> 1414</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01415"></a><span class="lineno"> 1415</span>  T = p_eq_g ? grp-><a class="code" href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">T</a> : NULL;</div>
<div class="line"><a name="l01416"></a><span class="lineno"> 1416</span> </div>
<div class="line"><a name="l01417"></a><span class="lineno"> 1417</span>  <span class="keywordflow">if</span>( T == NULL )</div>
<div class="line"><a name="l01418"></a><span class="lineno"> 1418</span>  {</div>
<div class="line"><a name="l01419"></a><span class="lineno"> 1419</span>  T = (<a class="code" href="structecp__point.html">ecp_point</a> *) <a class="code" href="test__suite__aes_8cbc_8c.html#a2a0cfb9e59f28e2a1a5fd1880fb20d4b">polarssl_malloc</a>( pre_len * <span class="keyword">sizeof</span>( <a class="code" href="structecp__point.html">ecp_point</a> ) );</div>
<div class="line"><a name="l01420"></a><span class="lineno"> 1420</span>  <span class="keywordflow">if</span>( T == NULL )</div>
<div class="line"><a name="l01421"></a><span class="lineno"> 1421</span>  {</div>
<div class="line"><a name="l01422"></a><span class="lineno"> 1422</span>  ret = <a class="code" href="ecp_8h.html#a01a0e6796f75c7bdd1a41312c4fa60c1">POLARSSL_ERR_ECP_MALLOC_FAILED</a>;</div>
<div class="line"><a name="l01423"></a><span class="lineno"> 1423</span>  <span class="keywordflow">goto</span> cleanup;</div>
<div class="line"><a name="l01424"></a><span class="lineno"> 1424</span>  }</div>
<div class="line"><a name="l01425"></a><span class="lineno"> 1425</span> </div>
<div class="line"><a name="l01426"></a><span class="lineno"> 1426</span>  <span class="keywordflow">for</span>( i = 0; i < pre_len; i++ )</div>
<div class="line"><a name="l01427"></a><span class="lineno"> 1427</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &T[i] );</div>
<div class="line"><a name="l01428"></a><span class="lineno"> 1428</span> </div>
<div class="line"><a name="l01429"></a><span class="lineno"> 1429</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_precompute_comb( grp, T, P, w, d ) );</div>
<div class="line"><a name="l01430"></a><span class="lineno"> 1430</span> </div>
<div class="line"><a name="l01431"></a><span class="lineno"> 1431</span>  <span class="keywordflow">if</span>( p_eq_g )</div>
<div class="line"><a name="l01432"></a><span class="lineno"> 1432</span>  {</div>
<div class="line"><a name="l01433"></a><span class="lineno"> 1433</span>  grp-><a class="code" href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">T</a> = T;</div>
<div class="line"><a name="l01434"></a><span class="lineno"> 1434</span>  grp-><a class="code" href="structecp__group.html#aa139ffe369496827f4dc0880fc73c02c">T_size</a> = pre_len;</div>
<div class="line"><a name="l01435"></a><span class="lineno"> 1435</span>  }</div>
<div class="line"><a name="l01436"></a><span class="lineno"> 1436</span>  }</div>
<div class="line"><a name="l01437"></a><span class="lineno"> 1437</span> </div>
<div class="line"><a name="l01438"></a><span class="lineno"> 1438</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01439"></a><span class="lineno"> 1439</span> <span class="comment"> * Make sure M is odd (M = m or M = N - m, since N is odd)</span></div>
<div class="line"><a name="l01440"></a><span class="lineno"> 1440</span> <span class="comment"> * using the fact that m * P = - (N - m) * P</span></div>
<div class="line"><a name="l01441"></a><span class="lineno"> 1441</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01442"></a><span class="lineno"> 1442</span>  m_is_odd = ( <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( m, 0 ) == 1 );</div>
<div class="line"><a name="l01443"></a><span class="lineno"> 1443</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &M, m ) );</div>
<div class="line"><a name="l01444"></a><span class="lineno"> 1444</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &mm, &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a>, m ) );</div>
<div class="line"><a name="l01445"></a><span class="lineno"> 1445</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a4022aef0c79b5a7121ee294cc139ae12">mpi_safe_cond_assign</a>( &M, &mm, ! m_is_odd ) );</div>
<div class="line"><a name="l01446"></a><span class="lineno"> 1446</span> </div>
<div class="line"><a name="l01447"></a><span class="lineno"> 1447</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01448"></a><span class="lineno"> 1448</span> <span class="comment"> * Go for comb multiplication, R = M * P</span></div>
<div class="line"><a name="l01449"></a><span class="lineno"> 1449</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01450"></a><span class="lineno"> 1450</span>  ecp_comb_fixed( k, d, w, &M );</div>
<div class="line"><a name="l01451"></a><span class="lineno"> 1451</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_mul_comb_core( grp, R, T, pre_len, k, d, f_rng, p_rng ) );</div>
<div class="line"><a name="l01452"></a><span class="lineno"> 1452</span> </div>
<div class="line"><a name="l01453"></a><span class="lineno"> 1453</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01454"></a><span class="lineno"> 1454</span> <span class="comment"> * Now get m * P from M * P and normalize it</span></div>
<div class="line"><a name="l01455"></a><span class="lineno"> 1455</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01456"></a><span class="lineno"> 1456</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_safe_invert_jac( grp, R, ! m_is_odd ) );</div>
<div class="line"><a name="l01457"></a><span class="lineno"> 1457</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_jac( grp, R ) );</div>
<div class="line"><a name="l01458"></a><span class="lineno"> 1458</span> </div>
<div class="line"><a name="l01459"></a><span class="lineno"> 1459</span> cleanup:</div>
<div class="line"><a name="l01460"></a><span class="lineno"> 1460</span> </div>
<div class="line"><a name="l01461"></a><span class="lineno"> 1461</span>  <span class="keywordflow">if</span>( T != NULL && ! p_eq_g )</div>
<div class="line"><a name="l01462"></a><span class="lineno"> 1462</span>  {</div>
<div class="line"><a name="l01463"></a><span class="lineno"> 1463</span>  <span class="keywordflow">for</span>( i = 0; i < pre_len; i++ )</div>
<div class="line"><a name="l01464"></a><span class="lineno"> 1464</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &T[i] );</div>
<div class="line"><a name="l01465"></a><span class="lineno"> 1465</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#a3c8219c194813f302bf78fe73566cb2d">polarssl_free</a>( T );</div>
<div class="line"><a name="l01466"></a><span class="lineno"> 1466</span>  }</div>
<div class="line"><a name="l01467"></a><span class="lineno"> 1467</span> </div>
<div class="line"><a name="l01468"></a><span class="lineno"> 1468</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &M );</div>
<div class="line"><a name="l01469"></a><span class="lineno"> 1469</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &mm );</div>
<div class="line"><a name="l01470"></a><span class="lineno"> 1470</span> </div>
<div class="line"><a name="l01471"></a><span class="lineno"> 1471</span>  <span class="keywordflow">if</span>( ret != 0 )</div>
<div class="line"><a name="l01472"></a><span class="lineno"> 1472</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( R );</div>
<div class="line"><a name="l01473"></a><span class="lineno"> 1473</span> </div>
<div class="line"><a name="l01474"></a><span class="lineno"> 1474</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01475"></a><span class="lineno"> 1475</span> }</div>
<div class="line"><a name="l01476"></a><span class="lineno"> 1476</span> </div>
<div class="line"><a name="l01477"></a><span class="lineno"> 1477</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_SHORT_WEIERSTRASS */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01478"></a><span class="lineno"> 1478</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01479"></a><span class="lineno"> 1479</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01480"></a><span class="lineno"> 1480</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l01481"></a><span class="lineno"> 1481</span> <span class="comment"> * For Montgomery curves, we do all the internal arithmetic in projective</span></div>
<div class="line"><a name="l01482"></a><span class="lineno"> 1482</span> <span class="comment"> * coordinates. Import/export of points uses only the x coordinates, which is</span></div>
<div class="line"><a name="l01483"></a><span class="lineno"> 1483</span> <span class="comment"> * internaly represented as X / Z.</span></div>
<div class="line"><a name="l01484"></a><span class="lineno"> 1484</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01485"></a><span class="lineno"> 1485</span> <span class="comment"> * For scalar multiplication, we'll use a Montgomery ladder.</span></div>
<div class="line"><a name="l01486"></a><span class="lineno"> 1486</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01487"></a><span class="lineno"> 1487</span> </div>
<div class="line"><a name="l01488"></a><span class="lineno"> 1488</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01489"></a><span class="lineno"> 1489</span> <span class="comment"> * Normalize Montgomery x/z coordinates: X = X/Z, Z = 1</span></div>
<div class="line"><a name="l01490"></a><span class="lineno"> 1490</span> <span class="comment"> * Cost: 1M + 1I</span></div>
<div class="line"><a name="l01491"></a><span class="lineno"> 1491</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01492"></a><span class="lineno"> 1492</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_normalize_mxz( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *P )</div>
<div class="line"><a name="l01493"></a><span class="lineno"> 1493</span> {</div>
<div class="line"><a name="l01494"></a><span class="lineno"> 1494</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01495"></a><span class="lineno"> 1495</span> </div>
<div class="line"><a name="l01496"></a><span class="lineno"> 1496</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a090616da16b87653c025874e1675da79">mpi_inv_mod</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) );</div>
<div class="line"><a name="l01497"></a><span class="lineno"> 1497</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01498"></a><span class="lineno"> 1498</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) );</div>
<div class="line"><a name="l01499"></a><span class="lineno"> 1499</span> </div>
<div class="line"><a name="l01500"></a><span class="lineno"> 1500</span> cleanup:</div>
<div class="line"><a name="l01501"></a><span class="lineno"> 1501</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01502"></a><span class="lineno"> 1502</span> }</div>
<div class="line"><a name="l01503"></a><span class="lineno"> 1503</span> </div>
<div class="line"><a name="l01504"></a><span class="lineno"> 1504</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01505"></a><span class="lineno"> 1505</span> <span class="comment"> * Randomize projective x/z coordinates:</span></div>
<div class="line"><a name="l01506"></a><span class="lineno"> 1506</span> <span class="comment"> * (X, Z) -> (l X, l Z) for random l</span></div>
<div class="line"><a name="l01507"></a><span class="lineno"> 1507</span> <span class="comment"> * This is sort of the reverse operation of ecp_normalize_mxz().</span></div>
<div class="line"><a name="l01508"></a><span class="lineno"> 1508</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01509"></a><span class="lineno"> 1509</span> <span class="comment"> * This countermeasure was first suggested in [2].</span></div>
<div class="line"><a name="l01510"></a><span class="lineno"> 1510</span> <span class="comment"> * Cost: 2M</span></div>
<div class="line"><a name="l01511"></a><span class="lineno"> 1511</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01512"></a><span class="lineno"> 1512</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_randomize_mxz( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l01513"></a><span class="lineno"> 1513</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>), <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01514"></a><span class="lineno"> 1514</span> {</div>
<div class="line"><a name="l01515"></a><span class="lineno"> 1515</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01516"></a><span class="lineno"> 1516</span>  <a class="code" href="structmpi.html">mpi</a> l;</div>
<div class="line"><a name="l01517"></a><span class="lineno"> 1517</span>  <span class="keywordtype">size_t</span> p_size = ( grp-><a class="code" href="structecp__group.html#a3a813481e3d2548e372bab92c50f4d48">pbits</a> + 7 ) / 8;</div>
<div class="line"><a name="l01518"></a><span class="lineno"> 1518</span>  <span class="keywordtype">int</span> count = 0;</div>
<div class="line"><a name="l01519"></a><span class="lineno"> 1519</span> </div>
<div class="line"><a name="l01520"></a><span class="lineno"> 1520</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &l );</div>
<div class="line"><a name="l01521"></a><span class="lineno"> 1521</span> </div>
<div class="line"><a name="l01522"></a><span class="lineno"> 1522</span>  <span class="comment">/* Generate l such that 1 < l < p */</span></div>
<div class="line"><a name="l01523"></a><span class="lineno"> 1523</span>  <span class="keywordflow">do</span></div>
<div class="line"><a name="l01524"></a><span class="lineno"> 1524</span>  {</div>
<div class="line"><a name="l01525"></a><span class="lineno"> 1525</span>  <a class="code" href="bignum_8h.html#a5ac8858041a8d5b49c11d38fd4069975">mpi_fill_random</a>( &l, p_size, f_rng, p_rng );</div>
<div class="line"><a name="l01526"></a><span class="lineno"> 1526</span> </div>
<div class="line"><a name="l01527"></a><span class="lineno"> 1527</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &l, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) >= 0 )</div>
<div class="line"><a name="l01528"></a><span class="lineno"> 1528</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a01de1543da79d0ad0f58916d608f6ff8">mpi_shift_r</a>( &l, 1 ) );</div>
<div class="line"><a name="l01529"></a><span class="lineno"> 1529</span> </div>
<div class="line"><a name="l01530"></a><span class="lineno"> 1530</span>  <span class="keywordflow">if</span>( count++ > 10 )</div>
<div class="line"><a name="l01531"></a><span class="lineno"> 1531</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a8de4c3d074d63c08f314012b604c98c8">POLARSSL_ERR_ECP_RANDOM_FAILED</a> );</div>
<div class="line"><a name="l01532"></a><span class="lineno"> 1532</span>  }</div>
<div class="line"><a name="l01533"></a><span class="lineno"> 1533</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &l, 1 ) <= 0 );</div>
<div class="line"><a name="l01534"></a><span class="lineno"> 1534</span> </div>
<div class="line"><a name="l01535"></a><span class="lineno"> 1535</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &l ) ); MOD_MUL( P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01536"></a><span class="lineno"> 1536</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &l ) ); MOD_MUL( P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01537"></a><span class="lineno"> 1537</span> </div>
<div class="line"><a name="l01538"></a><span class="lineno"> 1538</span> cleanup:</div>
<div class="line"><a name="l01539"></a><span class="lineno"> 1539</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &l );</div>
<div class="line"><a name="l01540"></a><span class="lineno"> 1540</span> </div>
<div class="line"><a name="l01541"></a><span class="lineno"> 1541</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01542"></a><span class="lineno"> 1542</span> }</div>
<div class="line"><a name="l01543"></a><span class="lineno"> 1543</span> </div>
<div class="line"><a name="l01544"></a><span class="lineno"> 1544</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01545"></a><span class="lineno"> 1545</span> <span class="comment"> * Double-and-add: R = 2P, S = P + Q, with d = X(P - Q),</span></div>
<div class="line"><a name="l01546"></a><span class="lineno"> 1546</span> <span class="comment"> * for Montgomery curves in x/z coordinates.</span></div>
<div class="line"><a name="l01547"></a><span class="lineno"> 1547</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01548"></a><span class="lineno"> 1548</span> <span class="comment"> * http://www.hyperelliptic.org/EFD/g1p/auto-code/montgom/xz/ladder/mladd-1987-m.op3</span></div>
<div class="line"><a name="l01549"></a><span class="lineno"> 1549</span> <span class="comment"> * with</span></div>
<div class="line"><a name="l01550"></a><span class="lineno"> 1550</span> <span class="comment"> * d = X1</span></div>
<div class="line"><a name="l01551"></a><span class="lineno"> 1551</span> <span class="comment"> * P = (X2, Z2)</span></div>
<div class="line"><a name="l01552"></a><span class="lineno"> 1552</span> <span class="comment"> * Q = (X3, Z3)</span></div>
<div class="line"><a name="l01553"></a><span class="lineno"> 1553</span> <span class="comment"> * R = (X4, Z4)</span></div>
<div class="line"><a name="l01554"></a><span class="lineno"> 1554</span> <span class="comment"> * S = (X5, Z5)</span></div>
<div class="line"><a name="l01555"></a><span class="lineno"> 1555</span> <span class="comment"> * and eliminating temporary variables tO, ..., t4.</span></div>
<div class="line"><a name="l01556"></a><span class="lineno"> 1556</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01557"></a><span class="lineno"> 1557</span> <span class="comment"> * Cost: 5M + 4S</span></div>
<div class="line"><a name="l01558"></a><span class="lineno"> 1558</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01559"></a><span class="lineno"> 1559</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_double_add_mxz( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp,</div>
<div class="line"><a name="l01560"></a><span class="lineno"> 1560</span>  <a class="code" href="structecp__point.html">ecp_point</a> *R, <a class="code" href="structecp__point.html">ecp_point</a> *S,</div>
<div class="line"><a name="l01561"></a><span class="lineno"> 1561</span>  <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *Q,</div>
<div class="line"><a name="l01562"></a><span class="lineno"> 1562</span>  <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *d )</div>
<div class="line"><a name="l01563"></a><span class="lineno"> 1563</span> {</div>
<div class="line"><a name="l01564"></a><span class="lineno"> 1564</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01565"></a><span class="lineno"> 1565</span>  <a class="code" href="structmpi.html">mpi</a> A, AA, B, BB, E, C, D, DA, CB;</div>
<div class="line"><a name="l01566"></a><span class="lineno"> 1566</span> </div>
<div class="line"><a name="l01567"></a><span class="lineno"> 1567</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &A ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &AA ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &B );</div>
<div class="line"><a name="l01568"></a><span class="lineno"> 1568</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &BB ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &E ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &C );</div>
<div class="line"><a name="l01569"></a><span class="lineno"> 1569</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &D ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &DA ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &CB );</div>
<div class="line"><a name="l01570"></a><span class="lineno"> 1570</span> </div>
<div class="line"><a name="l01571"></a><span class="lineno"> 1571</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &A, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_ADD( A );</div>
<div class="line"><a name="l01572"></a><span class="lineno"> 1572</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &AA, &A, &A ) ); MOD_MUL( AA );</div>
<div class="line"><a name="l01573"></a><span class="lineno"> 1573</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &B, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_SUB( B );</div>
<div class="line"><a name="l01574"></a><span class="lineno"> 1574</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &BB, &B, &B ) ); MOD_MUL( BB );</div>
<div class="line"><a name="l01575"></a><span class="lineno"> 1575</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &E, &AA, &BB ) ); MOD_SUB( E );</div>
<div class="line"><a name="l01576"></a><span class="lineno"> 1576</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &C, &Q-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_ADD( C );</div>
<div class="line"><a name="l01577"></a><span class="lineno"> 1577</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &D, &Q-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &Q-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_SUB( D );</div>
<div class="line"><a name="l01578"></a><span class="lineno"> 1578</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &DA, &D, &A ) ); MOD_MUL( DA );</div>
<div class="line"><a name="l01579"></a><span class="lineno"> 1579</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &CB, &C, &B ) ); MOD_MUL( CB );</div>
<div class="line"><a name="l01580"></a><span class="lineno"> 1580</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &DA, &CB ) ); MOD_MUL( S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01581"></a><span class="lineno"> 1581</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( S-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01582"></a><span class="lineno"> 1582</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a>( &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &DA, &CB ) ); MOD_SUB( S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01583"></a><span class="lineno"> 1583</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01584"></a><span class="lineno"> 1584</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, d, &S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( S-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01585"></a><span class="lineno"> 1585</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &AA, &BB ) ); MOD_MUL( R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01586"></a><span class="lineno"> 1586</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a>, &E ) ); MOD_MUL( R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01587"></a><span class="lineno"> 1587</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &BB, &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_ADD( R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01588"></a><span class="lineno"> 1588</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &E, &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> ) ); MOD_MUL( R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a> );</div>
<div class="line"><a name="l01589"></a><span class="lineno"> 1589</span> </div>
<div class="line"><a name="l01590"></a><span class="lineno"> 1590</span> cleanup:</div>
<div class="line"><a name="l01591"></a><span class="lineno"> 1591</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &A ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &AA ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &B );</div>
<div class="line"><a name="l01592"></a><span class="lineno"> 1592</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &BB ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &E ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &C );</div>
<div class="line"><a name="l01593"></a><span class="lineno"> 1593</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &D ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &DA ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &CB );</div>
<div class="line"><a name="l01594"></a><span class="lineno"> 1594</span> </div>
<div class="line"><a name="l01595"></a><span class="lineno"> 1595</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01596"></a><span class="lineno"> 1596</span> }</div>
<div class="line"><a name="l01597"></a><span class="lineno"> 1597</span> </div>
<div class="line"><a name="l01598"></a><span class="lineno"> 1598</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01599"></a><span class="lineno"> 1599</span> <span class="comment"> * Multiplication with Montgomery ladder in x/z coordinates,</span></div>
<div class="line"><a name="l01600"></a><span class="lineno"> 1600</span> <span class="comment"> * for curves in Montgomery form</span></div>
<div class="line"><a name="l01601"></a><span class="lineno"> 1601</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01602"></a><span class="lineno"> 1602</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_mul_mxz( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01603"></a><span class="lineno"> 1603</span>  <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *m, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l01604"></a><span class="lineno"> 1604</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>),</div>
<div class="line"><a name="l01605"></a><span class="lineno"> 1605</span>  <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01606"></a><span class="lineno"> 1606</span> {</div>
<div class="line"><a name="l01607"></a><span class="lineno"> 1607</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01608"></a><span class="lineno"> 1608</span>  <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l01609"></a><span class="lineno"> 1609</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> b;</div>
<div class="line"><a name="l01610"></a><span class="lineno"> 1610</span>  <a class="code" href="structecp__point.html">ecp_point</a> RP;</div>
<div class="line"><a name="l01611"></a><span class="lineno"> 1611</span>  <a class="code" href="structmpi.html">mpi</a> PX;</div>
<div class="line"><a name="l01612"></a><span class="lineno"> 1612</span> </div>
<div class="line"><a name="l01613"></a><span class="lineno"> 1613</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &RP ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &PX );</div>
<div class="line"><a name="l01614"></a><span class="lineno"> 1614</span> </div>
<div class="line"><a name="l01615"></a><span class="lineno"> 1615</span>  <span class="comment">/* Save PX and read from P before writing to R, in case P == R */</span></div>
<div class="line"><a name="l01616"></a><span class="lineno"> 1616</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a>( &PX, &P-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) );</div>
<div class="line"><a name="l01617"></a><span class="lineno"> 1617</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a>( &RP, P ) );</div>
<div class="line"><a name="l01618"></a><span class="lineno"> 1618</span> </div>
<div class="line"><a name="l01619"></a><span class="lineno"> 1619</span>  <span class="comment">/* Set R to zero in modified x/z coordinates */</span></div>
<div class="line"><a name="l01620"></a><span class="lineno"> 1620</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, 1 ) );</div>
<div class="line"><a name="l01621"></a><span class="lineno"> 1621</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 0 ) );</div>
<div class="line"><a name="l01622"></a><span class="lineno"> 1622</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &R-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> );</div>
<div class="line"><a name="l01623"></a><span class="lineno"> 1623</span> </div>
<div class="line"><a name="l01624"></a><span class="lineno"> 1624</span>  <span class="comment">/* RP.X might be sligtly larger than P, so reduce it */</span></div>
<div class="line"><a name="l01625"></a><span class="lineno"> 1625</span>  MOD_ADD( RP.<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> );</div>
<div class="line"><a name="l01626"></a><span class="lineno"> 1626</span> </div>
<div class="line"><a name="l01627"></a><span class="lineno"> 1627</span>  <span class="comment">/* Randomize coordinates of the starting point */</span></div>
<div class="line"><a name="l01628"></a><span class="lineno"> 1628</span>  <span class="keywordflow">if</span>( f_rng != NULL )</div>
<div class="line"><a name="l01629"></a><span class="lineno"> 1629</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_randomize_mxz( grp, &RP, f_rng, p_rng ) );</div>
<div class="line"><a name="l01630"></a><span class="lineno"> 1630</span> </div>
<div class="line"><a name="l01631"></a><span class="lineno"> 1631</span>  <span class="comment">/* Loop invariant: R = result so far, RP = R + P */</span></div>
<div class="line"><a name="l01632"></a><span class="lineno"> 1632</span>  i = <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( m ); <span class="comment">/* one past the (zero-based) most significant bit */</span></div>
<div class="line"><a name="l01633"></a><span class="lineno"> 1633</span>  <span class="keywordflow">while</span>( i-- > 0 )</div>
<div class="line"><a name="l01634"></a><span class="lineno"> 1634</span>  {</div>
<div class="line"><a name="l01635"></a><span class="lineno"> 1635</span>  b = <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( m, i );</div>
<div class="line"><a name="l01636"></a><span class="lineno"> 1636</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01637"></a><span class="lineno"> 1637</span> <span class="comment"> * if (b) R = 2R + P else R = 2R,</span></div>
<div class="line"><a name="l01638"></a><span class="lineno"> 1638</span> <span class="comment"> * which is:</span></div>
<div class="line"><a name="l01639"></a><span class="lineno"> 1639</span> <span class="comment"> * if (b) double_add( RP, R, RP, R )</span></div>
<div class="line"><a name="l01640"></a><span class="lineno"> 1640</span> <span class="comment"> * else double_add( R, RP, R, RP )</span></div>
<div class="line"><a name="l01641"></a><span class="lineno"> 1641</span> <span class="comment"> * but using safe conditional swaps to avoid leaks</span></div>
<div class="line"><a name="l01642"></a><span class="lineno"> 1642</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01643"></a><span class="lineno"> 1643</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a9128b59005aad61e8d07bedd0c2973b7">mpi_safe_cond_swap</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &RP.<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, b ) );</div>
<div class="line"><a name="l01644"></a><span class="lineno"> 1644</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a9128b59005aad61e8d07bedd0c2973b7">mpi_safe_cond_swap</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &RP.<a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, b ) );</div>
<div class="line"><a name="l01645"></a><span class="lineno"> 1645</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_double_add_mxz( grp, R, &RP, R, &RP, &PX ) );</div>
<div class="line"><a name="l01646"></a><span class="lineno"> 1646</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a9128b59005aad61e8d07bedd0c2973b7">mpi_safe_cond_swap</a>( &R-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &RP.<a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, b ) );</div>
<div class="line"><a name="l01647"></a><span class="lineno"> 1647</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a9128b59005aad61e8d07bedd0c2973b7">mpi_safe_cond_swap</a>( &R-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, &RP.<a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, b ) );</div>
<div class="line"><a name="l01648"></a><span class="lineno"> 1648</span>  }</div>
<div class="line"><a name="l01649"></a><span class="lineno"> 1649</span> </div>
<div class="line"><a name="l01650"></a><span class="lineno"> 1650</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( ecp_normalize_mxz( grp, R ) );</div>
<div class="line"><a name="l01651"></a><span class="lineno"> 1651</span> </div>
<div class="line"><a name="l01652"></a><span class="lineno"> 1652</span> cleanup:</div>
<div class="line"><a name="l01653"></a><span class="lineno"> 1653</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &RP ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &PX );</div>
<div class="line"><a name="l01654"></a><span class="lineno"> 1654</span> </div>
<div class="line"><a name="l01655"></a><span class="lineno"> 1655</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01656"></a><span class="lineno"> 1656</span> }</div>
<div class="line"><a name="l01657"></a><span class="lineno"> 1657</span> </div>
<div class="line"><a name="l01658"></a><span class="lineno"> 1658</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_MONTGOMERY */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01659"></a><span class="lineno"> 1659</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01660"></a><span class="lineno"> 1660</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01661"></a><span class="lineno"> 1661</span> <span class="comment"> * Multiplication R = m * P</span></div>
<div class="line"><a name="l01662"></a><span class="lineno"> 1662</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01663"></a><span class="lineno"> 1663</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structecp__point.html">ecp_point</a> *R,</div>
<div class="line"><a name="l01664"></a><span class="lineno"> 1664</span>  <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *m, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *P,</div>
<div class="line"><a name="l01665"></a><span class="lineno"> 1665</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>), <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01666"></a><span class="lineno"> 1666</span> {</div>
<div class="line"><a name="l01667"></a><span class="lineno"> 1667</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01668"></a><span class="lineno"> 1668</span> </div>
<div class="line"><a name="l01669"></a><span class="lineno"> 1669</span>  <span class="comment">/* Common sanity checks */</span></div>
<div class="line"><a name="l01670"></a><span class="lineno"> 1670</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &P-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) != 0 )</div>
<div class="line"><a name="l01671"></a><span class="lineno"> 1671</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01672"></a><span class="lineno"> 1672</span> </div>
<div class="line"><a name="l01673"></a><span class="lineno"> 1673</span>  <span class="keywordflow">if</span>( ( ret = <a class="code" href="ecp_8h.html#a939d1adc3c75e16c6f73269a980c9c4c">ecp_check_privkey</a>( grp, m ) ) != 0 ||</div>
<div class="line"><a name="l01674"></a><span class="lineno"> 1674</span>  ( ret = <a class="code" href="ecp_8h.html#a2b89dc1f1a90c6bd42fd1f927c2c6a13">ecp_check_pubkey</a>( grp, P ) ) != 0 )</div>
<div class="line"><a name="l01675"></a><span class="lineno"> 1675</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01676"></a><span class="lineno"> 1676</span> </div>
<div class="line"><a name="l01677"></a><span class="lineno"> 1677</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01678"></a><span class="lineno"> 1678</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )</div>
<div class="line"><a name="l01679"></a><span class="lineno"> 1679</span>  <span class="keywordflow">return</span>( ecp_mul_mxz( grp, R, m, P, f_rng, p_rng ) );</div>
<div class="line"><a name="l01680"></a><span class="lineno"> 1680</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01681"></a><span class="lineno"> 1681</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l01682"></a><span class="lineno"> 1682</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01683"></a><span class="lineno"> 1683</span>  <span class="keywordflow">return</span>( ecp_mul_comb( grp, R, m, P, f_rng, p_rng ) );</div>
<div class="line"><a name="l01684"></a><span class="lineno"> 1684</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01685"></a><span class="lineno"> 1685</span> <span class="preprocessor"></span> <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01686"></a><span class="lineno"> 1686</span> }</div>
<div class="line"><a name="l01687"></a><span class="lineno"> 1687</span> </div>
<div class="line"><a name="l01688"></a><span class="lineno"> 1688</span> <span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l01689"></a><span class="lineno"> 1689</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l01690"></a><span class="lineno"> 1690</span> <span class="comment"> * Check that an affine point is valid as a public key,</span></div>
<div class="line"><a name="l01691"></a><span class="lineno"> 1691</span> <span class="comment"> * short weierstrass curves (SEC1 3.2.3.1)</span></div>
<div class="line"><a name="l01692"></a><span class="lineno"> 1692</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01693"></a><span class="lineno"> 1693</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_check_pubkey_sw( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l01694"></a><span class="lineno"> 1694</span> {</div>
<div class="line"><a name="l01695"></a><span class="lineno"> 1695</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01696"></a><span class="lineno"> 1696</span>  <a class="code" href="structmpi.html">mpi</a> YY, RHS;</div>
<div class="line"><a name="l01697"></a><span class="lineno"> 1697</span> </div>
<div class="line"><a name="l01698"></a><span class="lineno"> 1698</span>  <span class="comment">/* pt coordinates must be normalized for our checks */</span></div>
<div class="line"><a name="l01699"></a><span class="lineno"> 1699</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, 0 ) < 0 ||</div>
<div class="line"><a name="l01700"></a><span class="lineno"> 1700</span>  <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, 0 ) < 0 ||</div>
<div class="line"><a name="l01701"></a><span class="lineno"> 1701</span>  <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) >= 0 ||</div>
<div class="line"><a name="l01702"></a><span class="lineno"> 1702</span>  <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &grp-><a class="code" href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">P</a> ) >= 0 )</div>
<div class="line"><a name="l01703"></a><span class="lineno"> 1703</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a> );</div>
<div class="line"><a name="l01704"></a><span class="lineno"> 1704</span> </div>
<div class="line"><a name="l01705"></a><span class="lineno"> 1705</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &YY ); <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &RHS );</div>
<div class="line"><a name="l01706"></a><span class="lineno"> 1706</span> </div>
<div class="line"><a name="l01707"></a><span class="lineno"> 1707</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01708"></a><span class="lineno"> 1708</span> <span class="comment"> * YY = Y^2</span></div>
<div class="line"><a name="l01709"></a><span class="lineno"> 1709</span> <span class="comment"> * RHS = X (X^2 + A) + B = X^3 + A X + B</span></div>
<div class="line"><a name="l01710"></a><span class="lineno"> 1710</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01711"></a><span class="lineno"> 1711</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &YY, &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a>, &pt-><a class="code" href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">Y</a> ) ); MOD_MUL( YY );</div>
<div class="line"><a name="l01712"></a><span class="lineno"> 1712</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &RHS, &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a>, &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( RHS );</div>
<div class="line"><a name="l01713"></a><span class="lineno"> 1713</span> </div>
<div class="line"><a name="l01714"></a><span class="lineno"> 1714</span>  <span class="comment">/* Special case for A = -3 */</span></div>
<div class="line"><a name="l01715"></a><span class="lineno"> 1715</span>  <span class="keywordflow">if</span>( grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a>.<a class="code" href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">p</a> == NULL )</div>
<div class="line"><a name="l01716"></a><span class="lineno"> 1716</span>  {</div>
<div class="line"><a name="l01717"></a><span class="lineno"> 1717</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#acfdf0f6effb7f976a2f90844c492e160">mpi_sub_int</a>( &RHS, &RHS, 3 ) ); MOD_SUB( RHS );</div>
<div class="line"><a name="l01718"></a><span class="lineno"> 1718</span>  }</div>
<div class="line"><a name="l01719"></a><span class="lineno"> 1719</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01720"></a><span class="lineno"> 1720</span>  {</div>
<div class="line"><a name="l01721"></a><span class="lineno"> 1721</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &RHS, &RHS, &grp-><a class="code" href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">A</a> ) ); MOD_ADD( RHS );</div>
<div class="line"><a name="l01722"></a><span class="lineno"> 1722</span>  }</div>
<div class="line"><a name="l01723"></a><span class="lineno"> 1723</span> </div>
<div class="line"><a name="l01724"></a><span class="lineno"> 1724</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a>( &RHS, &RHS, &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) ); MOD_MUL( RHS );</div>
<div class="line"><a name="l01725"></a><span class="lineno"> 1725</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a>( &RHS, &RHS, &grp-><a class="code" href="structecp__group.html#a83383f769f7a7b0067bd8eb237b30bec">B</a> ) ); MOD_ADD( RHS );</div>
<div class="line"><a name="l01726"></a><span class="lineno"> 1726</span> </div>
<div class="line"><a name="l01727"></a><span class="lineno"> 1727</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( &YY, &RHS ) != 0 )</div>
<div class="line"><a name="l01728"></a><span class="lineno"> 1728</span>  ret = <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a>;</div>
<div class="line"><a name="l01729"></a><span class="lineno"> 1729</span> </div>
<div class="line"><a name="l01730"></a><span class="lineno"> 1730</span> cleanup:</div>
<div class="line"><a name="l01731"></a><span class="lineno"> 1731</span> </div>
<div class="line"><a name="l01732"></a><span class="lineno"> 1732</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &YY ); <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &RHS );</div>
<div class="line"><a name="l01733"></a><span class="lineno"> 1733</span> </div>
<div class="line"><a name="l01734"></a><span class="lineno"> 1734</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01735"></a><span class="lineno"> 1735</span> }</div>
<div class="line"><a name="l01736"></a><span class="lineno"> 1736</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_SHORT_WEIERSTRASS */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01737"></a><span class="lineno"> 1737</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01738"></a><span class="lineno"> 1738</span> </div>
<div class="line"><a name="l01739"></a><span class="lineno"> 1739</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01740"></a><span class="lineno"> 1740</span> <span class="preprocessor"></span><span class="comment">/*</span></div>
<div class="line"><a name="l01741"></a><span class="lineno"> 1741</span> <span class="comment"> * Check validity of a public key for Montgomery curves with x-only schemes</span></div>
<div class="line"><a name="l01742"></a><span class="lineno"> 1742</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01743"></a><span class="lineno"> 1743</span> <span class="keyword">static</span> <span class="keywordtype">int</span> ecp_check_pubkey_mx( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l01744"></a><span class="lineno"> 1744</span> {</div>
<div class="line"><a name="l01745"></a><span class="lineno"> 1745</span>  <span class="comment">/* [M255 p. 5] Just check X is the correct number of bytes */</span></div>
<div class="line"><a name="l01746"></a><span class="lineno"> 1746</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#a8aa3a3d3aac9e49879ea8cd308859d23">mpi_size</a>( &pt-><a class="code" href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">X</a> ) > ( grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> + 7 ) / 8 )</div>
<div class="line"><a name="l01747"></a><span class="lineno"> 1747</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a> );</div>
<div class="line"><a name="l01748"></a><span class="lineno"> 1748</span> </div>
<div class="line"><a name="l01749"></a><span class="lineno"> 1749</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l01750"></a><span class="lineno"> 1750</span> }</div>
<div class="line"><a name="l01751"></a><span class="lineno"> 1751</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_MONTGOMERY */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01752"></a><span class="lineno"> 1752</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01753"></a><span class="lineno"> 1753</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01754"></a><span class="lineno"> 1754</span> <span class="comment"> * Check that a point is valid as a public key</span></div>
<div class="line"><a name="l01755"></a><span class="lineno"> 1755</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01756"></a><span class="lineno"> 1756</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a2b89dc1f1a90c6bd42fd1f927c2c6a13">ecp_check_pubkey</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structecp__point.html">ecp_point</a> *pt )</div>
<div class="line"><a name="l01757"></a><span class="lineno"> 1757</span> {</div>
<div class="line"><a name="l01758"></a><span class="lineno"> 1758</span>  <span class="comment">/* Must use affine coordinates */</span></div>
<div class="line"><a name="l01759"></a><span class="lineno"> 1759</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( &pt-><a class="code" href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">Z</a>, 1 ) != 0 )</div>
<div class="line"><a name="l01760"></a><span class="lineno"> 1760</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a> );</div>
<div class="line"><a name="l01761"></a><span class="lineno"> 1761</span> </div>
<div class="line"><a name="l01762"></a><span class="lineno"> 1762</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01763"></a><span class="lineno"> 1763</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )</div>
<div class="line"><a name="l01764"></a><span class="lineno"> 1764</span>  <span class="keywordflow">return</span>( ecp_check_pubkey_mx( grp, pt ) );</div>
<div class="line"><a name="l01765"></a><span class="lineno"> 1765</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01766"></a><span class="lineno"> 1766</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l01767"></a><span class="lineno"> 1767</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01768"></a><span class="lineno"> 1768</span>  <span class="keywordflow">return</span>( ecp_check_pubkey_sw( grp, pt ) );</div>
<div class="line"><a name="l01769"></a><span class="lineno"> 1769</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01770"></a><span class="lineno"> 1770</span> <span class="preprocessor"></span> <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01771"></a><span class="lineno"> 1771</span> }</div>
<div class="line"><a name="l01772"></a><span class="lineno"> 1772</span> </div>
<div class="line"><a name="l01773"></a><span class="lineno"> 1773</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01774"></a><span class="lineno"> 1774</span> <span class="comment"> * Check that an mpi is valid as a private key</span></div>
<div class="line"><a name="l01775"></a><span class="lineno"> 1775</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01776"></a><span class="lineno"> 1776</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a939d1adc3c75e16c6f73269a980c9c4c">ecp_check_privkey</a>( <span class="keyword">const</span> <a class="code" href="structecp__group.html">ecp_group</a> *grp, <span class="keyword">const</span> <a class="code" href="structmpi.html">mpi</a> *d )</div>
<div class="line"><a name="l01777"></a><span class="lineno"> 1777</span> {</div>
<div class="line"><a name="l01778"></a><span class="lineno"> 1778</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01779"></a><span class="lineno"> 1779</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )</div>
<div class="line"><a name="l01780"></a><span class="lineno"> 1780</span>  {</div>
<div class="line"><a name="l01781"></a><span class="lineno"> 1781</span>  <span class="comment">/* see [M255] page 5 */</span></div>
<div class="line"><a name="l01782"></a><span class="lineno"> 1782</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( d, 0 ) != 0 ||</div>
<div class="line"><a name="l01783"></a><span class="lineno"> 1783</span>  <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( d, 1 ) != 0 ||</div>
<div class="line"><a name="l01784"></a><span class="lineno"> 1784</span>  <a class="code" href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a>( d, 2 ) != 0 ||</div>
<div class="line"><a name="l01785"></a><span class="lineno"> 1785</span>  <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( d ) - 1 != grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> ) <span class="comment">/* mpi_msb is one-based! */</span></div>
<div class="line"><a name="l01786"></a><span class="lineno"> 1786</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a> );</div>
<div class="line"><a name="l01787"></a><span class="lineno"> 1787</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01788"></a><span class="lineno"> 1788</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l01789"></a><span class="lineno"> 1789</span>  }</div>
<div class="line"><a name="l01790"></a><span class="lineno"> 1790</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_MONTGOMERY */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01791"></a><span class="lineno"> 1791</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l01792"></a><span class="lineno"> 1792</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01793"></a><span class="lineno"> 1793</span>  {</div>
<div class="line"><a name="l01794"></a><span class="lineno"> 1794</span>  <span class="comment">/* see SEC1 3.2 */</span></div>
<div class="line"><a name="l01795"></a><span class="lineno"> 1795</span>  <span class="keywordflow">if</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( d, 1 ) < 0 ||</div>
<div class="line"><a name="l01796"></a><span class="lineno"> 1796</span>  <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( d, &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a> ) >= 0 )</div>
<div class="line"><a name="l01797"></a><span class="lineno"> 1797</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a> );</div>
<div class="line"><a name="l01798"></a><span class="lineno"> 1798</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01799"></a><span class="lineno"> 1799</span>  <span class="keywordflow">return</span>( 0 );</div>
<div class="line"><a name="l01800"></a><span class="lineno"> 1800</span>  }</div>
<div class="line"><a name="l01801"></a><span class="lineno"> 1801</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_SHORT_WEIERSTRASS */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01802"></a><span class="lineno"> 1802</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01803"></a><span class="lineno"> 1803</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01804"></a><span class="lineno"> 1804</span> }</div>
<div class="line"><a name="l01805"></a><span class="lineno"> 1805</span> </div>
<div class="line"><a name="l01806"></a><span class="lineno"> 1806</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01807"></a><span class="lineno"> 1807</span> <span class="comment"> * Generate a keypair</span></div>
<div class="line"><a name="l01808"></a><span class="lineno"> 1808</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01809"></a><span class="lineno"> 1809</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#aaf7e6813178463e3ebb15b0719d1d30a">ecp_gen_keypair</a>( <a class="code" href="structecp__group.html">ecp_group</a> *grp, <a class="code" href="structmpi.html">mpi</a> *d, <a class="code" href="structecp__point.html">ecp_point</a> *Q,</div>
<div class="line"><a name="l01810"></a><span class="lineno"> 1810</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>),</div>
<div class="line"><a name="l01811"></a><span class="lineno"> 1811</span>  <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01812"></a><span class="lineno"> 1812</span> {</div>
<div class="line"><a name="l01813"></a><span class="lineno"> 1813</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01814"></a><span class="lineno"> 1814</span>  <span class="keywordtype">size_t</span> n_size = ( grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> + 7 ) / 8;</div>
<div class="line"><a name="l01815"></a><span class="lineno"> 1815</span> </div>
<div class="line"><a name="l01816"></a><span class="lineno"> 1816</span> <span class="preprocessor">#if defined(POLARSSL_ECP_MONTGOMERY)</span></div>
<div class="line"><a name="l01817"></a><span class="lineno"> 1817</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )</div>
<div class="line"><a name="l01818"></a><span class="lineno"> 1818</span>  {</div>
<div class="line"><a name="l01819"></a><span class="lineno"> 1819</span>  <span class="comment">/* [M225] page 5 */</span></div>
<div class="line"><a name="l01820"></a><span class="lineno"> 1820</span>  <span class="keywordtype">size_t</span> b;</div>
<div class="line"><a name="l01821"></a><span class="lineno"> 1821</span> </div>
<div class="line"><a name="l01822"></a><span class="lineno"> 1822</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a5ac8858041a8d5b49c11d38fd4069975">mpi_fill_random</a>( d, n_size, f_rng, p_rng ) );</div>
<div class="line"><a name="l01823"></a><span class="lineno"> 1823</span> </div>
<div class="line"><a name="l01824"></a><span class="lineno"> 1824</span>  <span class="comment">/* Make sure the most significant bit is nbits */</span></div>
<div class="line"><a name="l01825"></a><span class="lineno"> 1825</span>  b = <a class="code" href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a>( d ) - 1; <span class="comment">/* mpi_msb is one-based */</span></div>
<div class="line"><a name="l01826"></a><span class="lineno"> 1826</span>  <span class="keywordflow">if</span>( b > grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> )</div>
<div class="line"><a name="l01827"></a><span class="lineno"> 1827</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a01de1543da79d0ad0f58916d608f6ff8">mpi_shift_r</a>( d, b - grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> ) );</div>
<div class="line"><a name="l01828"></a><span class="lineno"> 1828</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01829"></a><span class="lineno"> 1829</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ac70dd057e989b021c4a535470d6afec9">mpi_set_bit</a>( d, grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a>, 1 ) );</div>
<div class="line"><a name="l01830"></a><span class="lineno"> 1830</span> </div>
<div class="line"><a name="l01831"></a><span class="lineno"> 1831</span>  <span class="comment">/* Make sure the last three bits are unset */</span></div>
<div class="line"><a name="l01832"></a><span class="lineno"> 1832</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ac70dd057e989b021c4a535470d6afec9">mpi_set_bit</a>( d, 0, 0 ) );</div>
<div class="line"><a name="l01833"></a><span class="lineno"> 1833</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ac70dd057e989b021c4a535470d6afec9">mpi_set_bit</a>( d, 1, 0 ) );</div>
<div class="line"><a name="l01834"></a><span class="lineno"> 1834</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#ac70dd057e989b021c4a535470d6afec9">mpi_set_bit</a>( d, 2, 0 ) );</div>
<div class="line"><a name="l01835"></a><span class="lineno"> 1835</span>  }</div>
<div class="line"><a name="l01836"></a><span class="lineno"> 1836</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01837"></a><span class="lineno"> 1837</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_MONTGOMERY */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01838"></a><span class="lineno"> 1838</span> <span class="preprocessor"></span><span class="preprocessor">#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)</span></div>
<div class="line"><a name="l01839"></a><span class="lineno"> 1839</span> <span class="preprocessor"></span> <span class="keywordflow">if</span>( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )</div>
<div class="line"><a name="l01840"></a><span class="lineno"> 1840</span>  {</div>
<div class="line"><a name="l01841"></a><span class="lineno"> 1841</span>  <span class="comment">/* SEC1 3.2.1: Generate d such that 1 <= n < N */</span></div>
<div class="line"><a name="l01842"></a><span class="lineno"> 1842</span>  <span class="keywordtype">int</span> count = 0;</div>
<div class="line"><a name="l01843"></a><span class="lineno"> 1843</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> rnd[<a class="code" href="ecp_8h.html#a1ef9d88cd3a37a2fef0267d1dfe72510">POLARSSL_ECP_MAX_BYTES</a>];</div>
<div class="line"><a name="l01844"></a><span class="lineno"> 1844</span> </div>
<div class="line"><a name="l01845"></a><span class="lineno"> 1845</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01846"></a><span class="lineno"> 1846</span> <span class="comment"> * Match the procedure given in RFC 6979 (deterministic ECDSA):</span></div>
<div class="line"><a name="l01847"></a><span class="lineno"> 1847</span> <span class="comment"> * - use the same byte ordering;</span></div>
<div class="line"><a name="l01848"></a><span class="lineno"> 1848</span> <span class="comment"> * - keep the leftmost nbits bits of the generated octet string;</span></div>
<div class="line"><a name="l01849"></a><span class="lineno"> 1849</span> <span class="comment"> * - try until result is in the desired range.</span></div>
<div class="line"><a name="l01850"></a><span class="lineno"> 1850</span> <span class="comment"> * This also avoids any biais, which is especially important for ECDSA.</span></div>
<div class="line"><a name="l01851"></a><span class="lineno"> 1851</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01852"></a><span class="lineno"> 1852</span>  <span class="keywordflow">do</span></div>
<div class="line"><a name="l01853"></a><span class="lineno"> 1853</span>  {</div>
<div class="line"><a name="l01854"></a><span class="lineno"> 1854</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( f_rng( p_rng, rnd, n_size ) );</div>
<div class="line"><a name="l01855"></a><span class="lineno"> 1855</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a0235008cccbf00b8bc03699de8094819">mpi_read_binary</a>( d, rnd, n_size ) );</div>
<div class="line"><a name="l01856"></a><span class="lineno"> 1856</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a01de1543da79d0ad0f58916d608f6ff8">mpi_shift_r</a>( d, 8 * n_size - grp-><a class="code" href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">nbits</a> ) );</div>
<div class="line"><a name="l01857"></a><span class="lineno"> 1857</span> </div>
<div class="line"><a name="l01858"></a><span class="lineno"> 1858</span>  <span class="comment">/*</span></div>
<div class="line"><a name="l01859"></a><span class="lineno"> 1859</span> <span class="comment"> * Each try has at worst a probability 1/2 of failing (the msb has</span></div>
<div class="line"><a name="l01860"></a><span class="lineno"> 1860</span> <span class="comment"> * a probability 1/2 of being 0, and then the result will be < N),</span></div>
<div class="line"><a name="l01861"></a><span class="lineno"> 1861</span> <span class="comment"> * so after 30 tries failure probability is a most 2**(-30).</span></div>
<div class="line"><a name="l01862"></a><span class="lineno"> 1862</span> <span class="comment"> *</span></div>
<div class="line"><a name="l01863"></a><span class="lineno"> 1863</span> <span class="comment"> * For most curves, 1 try is enough with overwhelming probability,</span></div>
<div class="line"><a name="l01864"></a><span class="lineno"> 1864</span> <span class="comment"> * since N starts with a lot of 1s in binary, but some curves</span></div>
<div class="line"><a name="l01865"></a><span class="lineno"> 1865</span> <span class="comment"> * such as secp224k1 are actually very close to the worst case.</span></div>
<div class="line"><a name="l01866"></a><span class="lineno"> 1866</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01867"></a><span class="lineno"> 1867</span>  <span class="keywordflow">if</span>( ++count > 30 )</div>
<div class="line"><a name="l01868"></a><span class="lineno"> 1868</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a8de4c3d074d63c08f314012b604c98c8">POLARSSL_ERR_ECP_RANDOM_FAILED</a> );</div>
<div class="line"><a name="l01869"></a><span class="lineno"> 1869</span>  }</div>
<div class="line"><a name="l01870"></a><span class="lineno"> 1870</span>  <span class="keywordflow">while</span>( <a class="code" href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a>( d, 1 ) < 0 ||</div>
<div class="line"><a name="l01871"></a><span class="lineno"> 1871</span>  <a class="code" href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a>( d, &grp-><a class="code" href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">N</a> ) >= 0 );</div>
<div class="line"><a name="l01872"></a><span class="lineno"> 1872</span>  }</div>
<div class="line"><a name="l01873"></a><span class="lineno"> 1873</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l01874"></a><span class="lineno"> 1874</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_SHORT_WEIERSTRASS */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l01875"></a><span class="lineno"> 1875</span> <span class="preprocessor"></span> <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a> );</div>
<div class="line"><a name="l01876"></a><span class="lineno"> 1876</span> </div>
<div class="line"><a name="l01877"></a><span class="lineno"> 1877</span> cleanup:</div>
<div class="line"><a name="l01878"></a><span class="lineno"> 1878</span>  <span class="keywordflow">if</span>( ret != 0 )</div>
<div class="line"><a name="l01879"></a><span class="lineno"> 1879</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01880"></a><span class="lineno"> 1880</span> </div>
<div class="line"><a name="l01881"></a><span class="lineno"> 1881</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( grp, Q, d, &grp-><a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>, f_rng, p_rng ) );</div>
<div class="line"><a name="l01882"></a><span class="lineno"> 1882</span> }</div>
<div class="line"><a name="l01883"></a><span class="lineno"> 1883</span> </div>
<div class="line"><a name="l01884"></a><span class="lineno"> 1884</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01885"></a><span class="lineno"> 1885</span> <span class="comment"> * Generate a keypair, prettier wrapper</span></div>
<div class="line"><a name="l01886"></a><span class="lineno"> 1886</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01887"></a><span class="lineno"> 1887</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#acf20d0c6e6c0f372cd7f23456160c609">ecp_gen_key</a>( <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2">ecp_group_id</a> grp_id, <a class="code" href="structecp__keypair.html">ecp_keypair</a> *key,</div>
<div class="line"><a name="l01888"></a><span class="lineno"> 1888</span>  <span class="keywordtype">int</span> (*f_rng)(<span class="keywordtype">void</span> *, <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> *, <span class="keywordtype">size_t</span>), <span class="keywordtype">void</span> *p_rng )</div>
<div class="line"><a name="l01889"></a><span class="lineno"> 1889</span> {</div>
<div class="line"><a name="l01890"></a><span class="lineno"> 1890</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01891"></a><span class="lineno"> 1891</span> </div>
<div class="line"><a name="l01892"></a><span class="lineno"> 1892</span>  <span class="keywordflow">if</span>( ( ret = <a class="code" href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a>( &key-><a class="code" href="structecp__keypair.html#af83ab21de379598f79adade4c3cd376f">grp</a>, grp_id ) ) != 0 )</div>
<div class="line"><a name="l01893"></a><span class="lineno"> 1893</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l01894"></a><span class="lineno"> 1894</span> </div>
<div class="line"><a name="l01895"></a><span class="lineno"> 1895</span>  <span class="keywordflow">return</span>( <a class="code" href="ecp_8h.html#aaf7e6813178463e3ebb15b0719d1d30a">ecp_gen_keypair</a>( &key-><a class="code" href="structecp__keypair.html#af83ab21de379598f79adade4c3cd376f">grp</a>, &key-><a class="code" href="structecp__keypair.html#a8531547899526b4e8e6b2427c09e0177">d</a>, &key-><a class="code" href="structecp__keypair.html#a3a2bd5744991a7b0fbc76c3649a1e8a1">Q</a>, f_rng, p_rng ) );</div>
<div class="line"><a name="l01896"></a><span class="lineno"> 1896</span> }</div>
<div class="line"><a name="l01897"></a><span class="lineno"> 1897</span> </div>
<div class="line"><a name="l01898"></a><span class="lineno"> 1898</span> <span class="preprocessor">#if defined(POLARSSL_SELF_TEST)</span></div>
<div class="line"><a name="l01899"></a><span class="lineno"> 1899</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01900"></a><span class="lineno"> 1900</span> <span class="comment">/*</span></div>
<div class="line"><a name="l01901"></a><span class="lineno"> 1901</span> <span class="comment"> * Checkup routine</span></div>
<div class="line"><a name="l01902"></a><span class="lineno"> 1902</span> <span class="comment"> */</span></div>
<div class="line"><a name="l01903"></a><span class="lineno"> 1903</span> <span class="keywordtype">int</span> <a class="code" href="ecp_8h.html#a2fcf11c82174d4997ffb3214dc874d0c">ecp_self_test</a>( <span class="keywordtype">int</span> verbose )</div>
<div class="line"><a name="l01904"></a><span class="lineno"> 1904</span> {</div>
<div class="line"><a name="l01905"></a><span class="lineno"> 1905</span>  <span class="keywordtype">int</span> ret;</div>
<div class="line"><a name="l01906"></a><span class="lineno"> 1906</span>  <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a name="l01907"></a><span class="lineno"> 1907</span>  <a class="code" href="structecp__group.html">ecp_group</a> grp;</div>
<div class="line"><a name="l01908"></a><span class="lineno"> 1908</span>  <a class="code" href="structecp__point.html">ecp_point</a> R, P;</div>
<div class="line"><a name="l01909"></a><span class="lineno"> 1909</span>  <a class="code" href="structmpi.html">mpi</a> m;</div>
<div class="line"><a name="l01910"></a><span class="lineno"> 1910</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> add_c_prev, dbl_c_prev, mul_c_prev;</div>
<div class="line"><a name="l01911"></a><span class="lineno"> 1911</span>  <span class="comment">/* exponents especially adapted for secp192r1 */</span></div>
<div class="line"><a name="l01912"></a><span class="lineno"> 1912</span>  <span class="keyword">const</span> <span class="keywordtype">char</span> *exponents[] =</div>
<div class="line"><a name="l01913"></a><span class="lineno"> 1913</span>  {</div>
<div class="line"><a name="l01914"></a><span class="lineno"> 1914</span>  <span class="stringliteral">"000000000000000000000000000000000000000000000001"</span>, <span class="comment">/* one */</span></div>
<div class="line"><a name="l01915"></a><span class="lineno"> 1915</span>  <span class="stringliteral">"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22830"</span>, <span class="comment">/* N - 1 */</span></div>
<div class="line"><a name="l01916"></a><span class="lineno"> 1916</span>  <span class="stringliteral">"5EA6F389A38B8BC81E767753B15AA5569E1782E30ABE7D25"</span>, <span class="comment">/* random */</span></div>
<div class="line"><a name="l01917"></a><span class="lineno"> 1917</span>  <span class="stringliteral">"400000000000000000000000000000000000000000000000"</span>, <span class="comment">/* one and zeros */</span></div>
<div class="line"><a name="l01918"></a><span class="lineno"> 1918</span>  <span class="stringliteral">"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"</span>, <span class="comment">/* all ones */</span></div>
<div class="line"><a name="l01919"></a><span class="lineno"> 1919</span>  <span class="stringliteral">"555555555555555555555555555555555555555555555555"</span>, <span class="comment">/* 101010... */</span></div>
<div class="line"><a name="l01920"></a><span class="lineno"> 1920</span>  };</div>
<div class="line"><a name="l01921"></a><span class="lineno"> 1921</span> </div>
<div class="line"><a name="l01922"></a><span class="lineno"> 1922</span>  <a class="code" href="ecp_8h.html#a9859e0bafd24035307f33c1aee570eef">ecp_group_init</a>( &grp );</div>
<div class="line"><a name="l01923"></a><span class="lineno"> 1923</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &R );</div>
<div class="line"><a name="l01924"></a><span class="lineno"> 1924</span>  <a class="code" href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a>( &P );</div>
<div class="line"><a name="l01925"></a><span class="lineno"> 1925</span>  <a class="code" href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a>( &m );</div>
<div class="line"><a name="l01926"></a><span class="lineno"> 1926</span> </div>
<div class="line"><a name="l01927"></a><span class="lineno"> 1927</span>  <span class="comment">/* Use secp192r1 if available, or any available curve */</span></div>
<div class="line"><a name="l01928"></a><span class="lineno"> 1928</span> <span class="preprocessor">#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)</span></div>
<div class="line"><a name="l01929"></a><span class="lineno"> 1929</span> <span class="preprocessor"></span> <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a>( &grp, <a class="code" href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2ad7b0489f0d40a4f1c1b143d401977a2f">POLARSSL_ECP_DP_SECP192R1</a> ) );</div>
<div class="line"><a name="l01930"></a><span class="lineno"> 1930</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l01931"></a><span class="lineno"> 1931</span> <span class="preprocessor"></span> <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a>( &grp, <a class="code" href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a>()->grp_id ) );</div>
<div class="line"><a name="l01932"></a><span class="lineno"> 1932</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l01933"></a><span class="lineno"> 1933</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l01934"></a><span class="lineno"> 1934</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l01935"></a><span class="lineno"> 1935</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">" ECP test #1 (constant op_count, base point G): "</span> );</div>
<div class="line"><a name="l01936"></a><span class="lineno"> 1936</span> </div>
<div class="line"><a name="l01937"></a><span class="lineno"> 1937</span>  <span class="comment">/* Do a dummy multiplication first to trigger precomputation */</span></div>
<div class="line"><a name="l01938"></a><span class="lineno"> 1938</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a>( &m, 2 ) );</div>
<div class="line"><a name="l01939"></a><span class="lineno"> 1939</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( &grp, &P, &m, &grp.<a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>, NULL, NULL ) );</div>
<div class="line"><a name="l01940"></a><span class="lineno"> 1940</span> </div>
<div class="line"><a name="l01941"></a><span class="lineno"> 1941</span>  add_count = 0;</div>
<div class="line"><a name="l01942"></a><span class="lineno"> 1942</span>  dbl_count = 0;</div>
<div class="line"><a name="l01943"></a><span class="lineno"> 1943</span>  mul_count = 0;</div>
<div class="line"><a name="l01944"></a><span class="lineno"> 1944</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &m, 16, exponents[0] ) );</div>
<div class="line"><a name="l01945"></a><span class="lineno"> 1945</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( &grp, &R, &m, &grp.<a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>, NULL, NULL ) );</div>
<div class="line"><a name="l01946"></a><span class="lineno"> 1946</span> </div>
<div class="line"><a name="l01947"></a><span class="lineno"> 1947</span>  <span class="keywordflow">for</span>( i = 1; i < <span class="keyword">sizeof</span>( exponents ) / <span class="keyword">sizeof</span>( exponents[0] ); i++ )</div>
<div class="line"><a name="l01948"></a><span class="lineno"> 1948</span>  {</div>
<div class="line"><a name="l01949"></a><span class="lineno"> 1949</span>  add_c_prev = add_count;</div>
<div class="line"><a name="l01950"></a><span class="lineno"> 1950</span>  dbl_c_prev = dbl_count;</div>
<div class="line"><a name="l01951"></a><span class="lineno"> 1951</span>  mul_c_prev = mul_count;</div>
<div class="line"><a name="l01952"></a><span class="lineno"> 1952</span>  add_count = 0;</div>
<div class="line"><a name="l01953"></a><span class="lineno"> 1953</span>  dbl_count = 0;</div>
<div class="line"><a name="l01954"></a><span class="lineno"> 1954</span>  mul_count = 0;</div>
<div class="line"><a name="l01955"></a><span class="lineno"> 1955</span> </div>
<div class="line"><a name="l01956"></a><span class="lineno"> 1956</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &m, 16, exponents[i] ) );</div>
<div class="line"><a name="l01957"></a><span class="lineno"> 1957</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( &grp, &R, &m, &grp.<a class="code" href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">G</a>, NULL, NULL ) );</div>
<div class="line"><a name="l01958"></a><span class="lineno"> 1958</span> </div>
<div class="line"><a name="l01959"></a><span class="lineno"> 1959</span>  <span class="keywordflow">if</span>( add_count != add_c_prev ||</div>
<div class="line"><a name="l01960"></a><span class="lineno"> 1960</span>  dbl_count != dbl_c_prev ||</div>
<div class="line"><a name="l01961"></a><span class="lineno"> 1961</span>  mul_count != mul_c_prev )</div>
<div class="line"><a name="l01962"></a><span class="lineno"> 1962</span>  {</div>
<div class="line"><a name="l01963"></a><span class="lineno"> 1963</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l01964"></a><span class="lineno"> 1964</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"failed (%u)\n"</span>, (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) i );</div>
<div class="line"><a name="l01965"></a><span class="lineno"> 1965</span> </div>
<div class="line"><a name="l01966"></a><span class="lineno"> 1966</span>  ret = 1;</div>
<div class="line"><a name="l01967"></a><span class="lineno"> 1967</span>  <span class="keywordflow">goto</span> cleanup;</div>
<div class="line"><a name="l01968"></a><span class="lineno"> 1968</span>  }</div>
<div class="line"><a name="l01969"></a><span class="lineno"> 1969</span>  }</div>
<div class="line"><a name="l01970"></a><span class="lineno"> 1970</span> </div>
<div class="line"><a name="l01971"></a><span class="lineno"> 1971</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l01972"></a><span class="lineno"> 1972</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"passed\n"</span> );</div>
<div class="line"><a name="l01973"></a><span class="lineno"> 1973</span> </div>
<div class="line"><a name="l01974"></a><span class="lineno"> 1974</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l01975"></a><span class="lineno"> 1975</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">" ECP test #2 (constant op_count, other point): "</span> );</div>
<div class="line"><a name="l01976"></a><span class="lineno"> 1976</span>  <span class="comment">/* We computed P = 2G last time, use it */</span></div>
<div class="line"><a name="l01977"></a><span class="lineno"> 1977</span> </div>
<div class="line"><a name="l01978"></a><span class="lineno"> 1978</span>  add_count = 0;</div>
<div class="line"><a name="l01979"></a><span class="lineno"> 1979</span>  dbl_count = 0;</div>
<div class="line"><a name="l01980"></a><span class="lineno"> 1980</span>  mul_count = 0;</div>
<div class="line"><a name="l01981"></a><span class="lineno"> 1981</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &m, 16, exponents[0] ) );</div>
<div class="line"><a name="l01982"></a><span class="lineno"> 1982</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( &grp, &R, &m, &P, NULL, NULL ) );</div>
<div class="line"><a name="l01983"></a><span class="lineno"> 1983</span> </div>
<div class="line"><a name="l01984"></a><span class="lineno"> 1984</span>  <span class="keywordflow">for</span>( i = 1; i < <span class="keyword">sizeof</span>( exponents ) / <span class="keyword">sizeof</span>( exponents[0] ); i++ )</div>
<div class="line"><a name="l01985"></a><span class="lineno"> 1985</span>  {</div>
<div class="line"><a name="l01986"></a><span class="lineno"> 1986</span>  add_c_prev = add_count;</div>
<div class="line"><a name="l01987"></a><span class="lineno"> 1987</span>  dbl_c_prev = dbl_count;</div>
<div class="line"><a name="l01988"></a><span class="lineno"> 1988</span>  mul_c_prev = mul_count;</div>
<div class="line"><a name="l01989"></a><span class="lineno"> 1989</span>  add_count = 0;</div>
<div class="line"><a name="l01990"></a><span class="lineno"> 1990</span>  dbl_count = 0;</div>
<div class="line"><a name="l01991"></a><span class="lineno"> 1991</span>  mul_count = 0;</div>
<div class="line"><a name="l01992"></a><span class="lineno"> 1992</span> </div>
<div class="line"><a name="l01993"></a><span class="lineno"> 1993</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a>( &m, 16, exponents[i] ) );</div>
<div class="line"><a name="l01994"></a><span class="lineno"> 1994</span>  <a class="code" href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a>( <a class="code" href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a>( &grp, &R, &m, &P, NULL, NULL ) );</div>
<div class="line"><a name="l01995"></a><span class="lineno"> 1995</span> </div>
<div class="line"><a name="l01996"></a><span class="lineno"> 1996</span>  <span class="keywordflow">if</span>( add_count != add_c_prev ||</div>
<div class="line"><a name="l01997"></a><span class="lineno"> 1997</span>  dbl_count != dbl_c_prev ||</div>
<div class="line"><a name="l01998"></a><span class="lineno"> 1998</span>  mul_count != mul_c_prev )</div>
<div class="line"><a name="l01999"></a><span class="lineno"> 1999</span>  {</div>
<div class="line"><a name="l02000"></a><span class="lineno"> 2000</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l02001"></a><span class="lineno"> 2001</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"failed (%u)\n"</span>, (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>) i );</div>
<div class="line"><a name="l02002"></a><span class="lineno"> 2002</span> </div>
<div class="line"><a name="l02003"></a><span class="lineno"> 2003</span>  ret = 1;</div>
<div class="line"><a name="l02004"></a><span class="lineno"> 2004</span>  <span class="keywordflow">goto</span> cleanup;</div>
<div class="line"><a name="l02005"></a><span class="lineno"> 2005</span>  }</div>
<div class="line"><a name="l02006"></a><span class="lineno"> 2006</span>  }</div>
<div class="line"><a name="l02007"></a><span class="lineno"> 2007</span> </div>
<div class="line"><a name="l02008"></a><span class="lineno"> 2008</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l02009"></a><span class="lineno"> 2009</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"passed\n"</span> );</div>
<div class="line"><a name="l02010"></a><span class="lineno"> 2010</span> </div>
<div class="line"><a name="l02011"></a><span class="lineno"> 2011</span> cleanup:</div>
<div class="line"><a name="l02012"></a><span class="lineno"> 2012</span> </div>
<div class="line"><a name="l02013"></a><span class="lineno"> 2013</span>  <span class="keywordflow">if</span>( ret < 0 && verbose != 0 )</div>
<div class="line"><a name="l02014"></a><span class="lineno"> 2014</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"Unexpected error, return code = %08X\n"</span>, ret );</div>
<div class="line"><a name="l02015"></a><span class="lineno"> 2015</span> </div>
<div class="line"><a name="l02016"></a><span class="lineno"> 2016</span>  <a class="code" href="ecp_8h.html#acbb816c782b4d903a0f0fac9b9d7e748">ecp_group_free</a>( &grp );</div>
<div class="line"><a name="l02017"></a><span class="lineno"> 2017</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &R );</div>
<div class="line"><a name="l02018"></a><span class="lineno"> 2018</span>  <a class="code" href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a>( &P );</div>
<div class="line"><a name="l02019"></a><span class="lineno"> 2019</span>  <a class="code" href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a>( &m );</div>
<div class="line"><a name="l02020"></a><span class="lineno"> 2020</span> </div>
<div class="line"><a name="l02021"></a><span class="lineno"> 2021</span>  <span class="keywordflow">if</span>( verbose != 0 )</div>
<div class="line"><a name="l02022"></a><span class="lineno"> 2022</span>  <a class="code" href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a>( <span class="stringliteral">"\n"</span> );</div>
<div class="line"><a name="l02023"></a><span class="lineno"> 2023</span> </div>
<div class="line"><a name="l02024"></a><span class="lineno"> 2024</span>  <span class="keywordflow">return</span>( ret );</div>
<div class="line"><a name="l02025"></a><span class="lineno"> 2025</span> }</div>
<div class="line"><a name="l02026"></a><span class="lineno"> 2026</span> </div>
<div class="line"><a name="l02027"></a><span class="lineno"> 2027</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_SELF_TEST */</span><span class="preprocessor"></span></div>
<div class="line"><a name="l02028"></a><span class="lineno"> 2028</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l02029"></a><span class="lineno"> 2029</span> <span class="preprocessor">#endif </span><span class="comment">/* POLARSSL_ECP_C */</span><span class="preprocessor"></span></div>
<div class="ttc" id="bignum_8h_html_aee6dc030f0fa278c1576c457088b4910"><div class="ttname"><a href="bignum_8h.html#aee6dc030f0fa278c1576c457088b4910">mpi_cmp_int</a></div><div class="ttdeci">int mpi_cmp_int(const mpi *X, t_sint z)</div><div class="ttdoc">Compare signed values. </div></div>
<div class="ttc" id="structecp__group_html_a3a813481e3d2548e372bab92c50f4d48"><div class="ttname"><a href="structecp__group.html#a3a813481e3d2548e372bab92c50f4d48">ecp_group::pbits</a></div><div class="ttdeci">size_t pbits</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00144">ecp.h:144</a></div></div>
<div class="ttc" id="ecp_8h_html_a8dd54f6888aed50a45a3ba56af003553"><div class="ttname"><a href="ecp_8h.html#a8dd54f6888aed50a45a3ba56af003553">POLARSSL_ECP_TLS_NAMED_CURVE</a></div><div class="ttdeci">#define POLARSSL_ECP_TLS_NAMED_CURVE</div><div class="ttdoc">ECCurveType&#39;s named_curve. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00239">ecp.h:239</a></div></div>
<div class="ttc" id="bignum_8h_html_adaa24d645b3940d17fb6ac1d6fd17408"><div class="ttname"><a href="bignum_8h.html#adaa24d645b3940d17fb6ac1d6fd17408">mpi_shrink</a></div><div class="ttdeci">int mpi_shrink(mpi *X, size_t nblimbs)</div><div class="ttdoc">Resize down, keeping at least the specified number of limbs. </div></div>
<div class="ttc" id="ecp_8h_html_a19c757a41a5c79d00ae86469b5c6e798"><div class="ttname"><a href="ecp_8h.html#a19c757a41a5c79d00ae86469b5c6e798">ecp_sub</a></div><div class="ttdeci">int ecp_sub(const ecp_group *grp, ecp_point *R, const ecp_point *P, const ecp_point *Q)</div><div class="ttdoc">Subtraction: R = P - Q. </div></div>
<div class="ttc" id="ecp_8h_html_a939d1adc3c75e16c6f73269a980c9c4c"><div class="ttname"><a href="ecp_8h.html#a939d1adc3c75e16c6f73269a980c9c4c">ecp_check_privkey</a></div><div class="ttdeci">int ecp_check_privkey(const ecp_group *grp, const mpi *d)</div><div class="ttdoc">Check that an mpi is a valid private key for this curve. </div></div>
<div class="ttc" id="bignum_8h_html_a4022aef0c79b5a7121ee294cc139ae12"><div class="ttname"><a href="bignum_8h.html#a4022aef0c79b5a7121ee294cc139ae12">mpi_safe_cond_assign</a></div><div class="ttdeci">int mpi_safe_cond_assign(mpi *X, const mpi *Y, unsigned char assign)</div><div class="ttdoc">Safe conditional assignement X = Y if assign is 1. </div></div>
<div class="ttc" id="ecp_8h_html_a59e5b00eddc35acbb507340379c4d056"><div class="ttname"><a href="ecp_8h.html#a59e5b00eddc35acbb507340379c4d056">POLARSSL_ERR_ECP_BAD_INPUT_DATA</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_BAD_INPUT_DATA</div><div class="ttdoc">Bad input parameters to function. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00035">ecp.h:35</a></div></div>
<div class="ttc" id="test__suite__aes_8cbc_8c_html_afc6a7362c0f0c9cfa8fc76b3281e2b37"><div class="ttname"><a href="test__suite__aes_8cbc_8c.html#afc6a7362c0f0c9cfa8fc76b3281e2b37">polarssl_printf</a></div><div class="ttdeci">#define polarssl_printf</div><div class="ttdef"><b>Definition:</b> <a href="test__suite__aes_8cbc_8c_source.html#l00309">test_suite_aes.cbc.c:309</a></div></div>
<div class="ttc" id="ecp_8h_html_ad319627ec2d6771c107958eba37857e8"><div class="ttname"><a href="ecp_8h.html#ad319627ec2d6771c107958eba37857e8">ecp_keypair_init</a></div><div class="ttdeci">void ecp_keypair_init(ecp_keypair *key)</div><div class="ttdoc">Initialize a key pair (as an invalid one) </div></div>
<div class="ttc" id="ecp_8h_html_aae1ffdfabe7a58a7d9a1fee29a792051"><div class="ttname"><a href="ecp_8h.html#aae1ffdfabe7a58a7d9a1fee29a792051">ecp_group_copy</a></div><div class="ttdeci">int ecp_group_copy(ecp_group *dst, const ecp_group *src)</div><div class="ttdoc">Copy the contents of a group object. </div></div>
<div class="ttc" id="structecp__curve__info_html_a825a0e9a424ebd14f342043287715166"><div class="ttname"><a href="structecp__curve__info.html#a825a0e9a424ebd14f342043287715166">ecp_curve_info::grp_id</a></div><div class="ttdeci">ecp_group_id grp_id</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00089">ecp.h:89</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a13f6d2a908ca7d322ceb2a5d9f4dea6f"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a13f6d2a908ca7d322ceb2a5d9f4dea6f">POLARSSL_ECP_DP_SECP256R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00062">ecp.h:62</a></div></div>
<div class="ttc" id="ecp_8h_html_ad429f374f5b86942b9561edce9c99082"><div class="ttname"><a href="ecp_8h.html#ad429f374f5b86942b9561edce9c99082">POLARSSL_ECP_PF_COMPRESSED</a></div><div class="ttdeci">#define POLARSSL_ECP_PF_COMPRESSED</div><div class="ttdoc">Compressed point format. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00234">ecp.h:234</a></div></div>
<div class="ttc" id="config-suite-b_8h_html_a387aeb9fc0d3468b3d3fa47e9cabbf10"><div class="ttname"><a href="config-suite-b_8h.html#a387aeb9fc0d3468b3d3fa47e9cabbf10">POLARSSL_ECP_WINDOW_SIZE</a></div><div class="ttdeci">#define POLARSSL_ECP_WINDOW_SIZE</div><div class="ttdef"><b>Definition:</b> <a href="config-suite-b_8h_source.html#l00067">config-suite-b.h:67</a></div></div>
<div class="ttc" id="ecp_8h_html_a922c198def595ceb873e92a5921c1a7d"><div class="ttname"><a href="ecp_8h.html#a922c198def595ceb873e92a5921c1a7d">ecp_curve_list</a></div><div class="ttdeci">const ecp_curve_info * ecp_curve_list(void)</div><div class="ttdoc">Get the list of supported curves in order of preferrence (full information) </div></div>
<div class="ttc" id="structecp__curve__info_html_a77514b39b33e150fa2d3154ee77679cd"><div class="ttname"><a href="structecp__curve__info.html#a77514b39b33e150fa2d3154ee77679cd">ecp_curve_info::name</a></div><div class="ttdeci">const char * name</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00092">ecp.h:92</a></div></div>
<div class="ttc" id="test__suite__aes_8cbc_8c_html_a2a0cfb9e59f28e2a1a5fd1880fb20d4b"><div class="ttname"><a href="test__suite__aes_8cbc_8c.html#a2a0cfb9e59f28e2a1a5fd1880fb20d4b">polarssl_malloc</a></div><div class="ttdeci">#define polarssl_malloc</div><div class="ttdef"><b>Definition:</b> <a href="test__suite__aes_8cbc_8c_source.html#l00310">test_suite_aes.cbc.c:310</a></div></div>
<div class="ttc" id="ecp_8h_html_a2fcf11c82174d4997ffb3214dc874d0c"><div class="ttname"><a href="ecp_8h.html#a2fcf11c82174d4997ffb3214dc874d0c">ecp_self_test</a></div><div class="ttdeci">int ecp_self_test(int verbose)</div><div class="ttdoc">Checkup routine. </div></div>
<div class="ttc" id="ecp_8h_html"><div class="ttname"><a href="ecp_8h.html">ecp.h</a></div><div class="ttdoc">Elliptic curves over GF(p) </div></div>
<div class="ttc" id="structmpi_html_ad44e921903bdc7fcc1cadad14784a59a"><div class="ttname"><a href="structmpi.html#ad44e921903bdc7fcc1cadad14784a59a">mpi::s</a></div><div class="ttdeci">int s</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8h_source.html#l00184">bignum.h:184</a></div></div>
<div class="ttc" id="bignum_8h_html_a5ac8858041a8d5b49c11d38fd4069975"><div class="ttname"><a href="bignum_8h.html#a5ac8858041a8d5b49c11d38fd4069975">mpi_fill_random</a></div><div class="ttdeci">int mpi_fill_random(mpi *X, size_t size, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</div><div class="ttdoc">Fill an MPI X with size bytes of random. </div></div>
<div class="ttc" id="test__suite__aes_8cbc_8c_html_a3c8219c194813f302bf78fe73566cb2d"><div class="ttname"><a href="test__suite__aes_8cbc_8c.html#a3c8219c194813f302bf78fe73566cb2d">polarssl_free</a></div><div class="ttdeci">#define polarssl_free</div><div class="ttdef"><b>Definition:</b> <a href="test__suite__aes_8cbc_8c_source.html#l00311">test_suite_aes.cbc.c:311</a></div></div>
<div class="ttc" id="bignum_8h_html_a19d09ef62c09539feb7f9b3045cfb1fe"><div class="ttname"><a href="bignum_8h.html#a19d09ef62c09539feb7f9b3045cfb1fe">mpi_sub_abs</a></div><div class="ttdeci">int mpi_sub_abs(mpi *X, const mpi *A, const mpi *B)</div><div class="ttdoc">Unsigned subtraction: X = |A| - |B|. </div></div>
<div class="ttc" id="structecp__group_html_aa743e0f6bdba64120247a92f8edf1318"><div class="ttname"><a href="structecp__group.html#aa743e0f6bdba64120247a92f8edf1318">ecp_group::P</a></div><div class="ttdeci">mpi P</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00139">ecp.h:139</a></div></div>
<div class="ttc" id="structecp__keypair_html_af83ab21de379598f79adade4c3cd376f"><div class="ttname"><a href="structecp__keypair.html#af83ab21de379598f79adade4c3cd376f">ecp_keypair::grp</a></div><div class="ttdeci">ecp_group grp</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00165">ecp.h:165</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2aa8b959db9beb4ac3fe805dd4caec6924"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aa8b959db9beb4ac3fe805dd4caec6924">POLARSSL_ECP_DP_SECP224R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00061">ecp.h:61</a></div></div>
<div class="ttc" id="ecp_8h_html_a01a0e6796f75c7bdd1a41312c4fa60c1"><div class="ttname"><a href="ecp_8h.html#a01a0e6796f75c7bdd1a41312c4fa60c1">POLARSSL_ERR_ECP_MALLOC_FAILED</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_MALLOC_FAILED</div><div class="ttdoc">Memory allocation failed. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00039">ecp.h:39</a></div></div>
<div class="ttc" id="structecp__group_html_afcdbaba12db0549629c81baeba2fd738"><div class="ttname"><a href="structecp__group.html#afcdbaba12db0549629c81baeba2fd738">ecp_group::modp</a></div><div class="ttdeci">int(* modp)(mpi *)</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00147">ecp.h:147</a></div></div>
<div class="ttc" id="ecp_8h_html_ac9035f34ba62d16e0e37bdaca67e37e2"><div class="ttname"><a href="ecp_8h.html#ac9035f34ba62d16e0e37bdaca67e37e2">POLARSSL_ECP_PF_UNCOMPRESSED</a></div><div class="ttdeci">#define POLARSSL_ECP_PF_UNCOMPRESSED</div><div class="ttdoc">Uncompressed point format. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00233">ecp.h:233</a></div></div>
<div class="ttc" id="structecp__group_html"><div class="ttname"><a href="structecp__group.html">ecp_group</a></div><div class="ttdoc">ECP group structure. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00136">ecp.h:136</a></div></div>
<div class="ttc" id="config_8h_html"><div class="ttname"><a href="config_8h.html">config.h</a></div><div class="ttdoc">Configuration options (set of defines) </div></div>
<div class="ttc" id="structecp__group_html_af88943414b51c063db7077e833a3f293"><div class="ttname"><a href="structecp__group.html#af88943414b51c063db7077e833a3f293">ecp_group::h</a></div><div class="ttdeci">unsigned int h</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00146">ecp.h:146</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2aeeb07a2080f671337ce152e41404dc01"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aeeb07a2080f671337ce152e41404dc01">POLARSSL_ECP_DP_BP512R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00067">ecp.h:67</a></div></div>
<div class="ttc" id="structecp__keypair_html"><div class="ttname"><a href="structecp__keypair.html">ecp_keypair</a></div><div class="ttdoc">ECP key pair structure. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00163">ecp.h:163</a></div></div>
<div class="ttc" id="structecp__keypair_html_a8531547899526b4e8e6b2427c09e0177"><div class="ttname"><a href="structecp__keypair.html#a8531547899526b4e8e6b2427c09e0177">ecp_keypair::d</a></div><div class="ttdeci">mpi d</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00166">ecp.h:166</a></div></div>
<div class="ttc" id="bignum_8h_html_a007d6236aebb0ff4a3d92ce8f525a3ae"><div class="ttname"><a href="bignum_8h.html#a007d6236aebb0ff4a3d92ce8f525a3ae">mpi_lset</a></div><div class="ttdeci">int mpi_lset(mpi *X, t_sint z)</div><div class="ttdoc">Set value from integer. </div></div>
<div class="ttc" id="structmpi_html"><div class="ttname"><a href="structmpi.html">mpi</a></div><div class="ttdoc">MPI structure. </div><div class="ttdef"><b>Definition:</b> <a href="bignum_8h_source.html#l00182">bignum.h:182</a></div></div>
<div class="ttc" id="platform_8h_html"><div class="ttname"><a href="platform_8h.html">platform.h</a></div><div class="ttdoc">PolarSSL Platform abstraction layer. </div></div>
<div class="ttc" id="ecp_8h_html_a337b0e41153f458872f7f73bad93711c"><div class="ttname"><a href="ecp_8h.html#a337b0e41153f458872f7f73bad93711c">ecp_mul</a></div><div class="ttdeci">int ecp_mul(ecp_group *grp, ecp_point *R, const mpi *m, const ecp_point *P, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</div><div class="ttdoc">Multiplication by an integer: R = m * P (Not thread-safe to use same group in multiple threads) ...</div></div>
<div class="ttc" id="ecp_8h_html_a37ff6c0c75c54675c90747a68e210b02"><div class="ttname"><a href="ecp_8h.html#a37ff6c0c75c54675c90747a68e210b02">ecp_point_read_binary</a></div><div class="ttdeci">int ecp_point_read_binary(const ecp_group *grp, ecp_point *P, const unsigned char *buf, size_t ilen)</div><div class="ttdoc">Import a point from unsigned binary data. </div></div>
<div class="ttc" id="ecp_8h_html_a87be7bf7e5b042e8ee3b73dbe5f3cc3a"><div class="ttname"><a href="ecp_8h.html#a87be7bf7e5b042e8ee3b73dbe5f3cc3a">POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE</div><div class="ttdoc">Requested curve not available. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00037">ecp.h:37</a></div></div>
<div class="ttc" id="bignum_8h_html_a201666869f65225d6535bcc697f95c9b"><div class="ttname"><a href="bignum_8h.html#a201666869f65225d6535bcc697f95c9b">mpi_init</a></div><div class="ttdeci">void mpi_init(mpi *X)</div><div class="ttdoc">Initialize one MPI. </div></div>
<div class="ttc" id="structecp__point_html_ad22ad099567064b38af5a1f2f58f0acc"><div class="ttname"><a href="structecp__point.html#ad22ad099567064b38af5a1f2f58f0acc">ecp_point::X</a></div><div class="ttdeci">mpi X</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00106">ecp.h:106</a></div></div>
<div class="ttc" id="bignum_8h_html_aec20dff9d78738e3c80b212df9875b83"><div class="ttname"><a href="bignum_8h.html#aec20dff9d78738e3c80b212df9875b83">mpi_cmp_mpi</a></div><div class="ttdeci">int mpi_cmp_mpi(const mpi *X, const mpi *Y)</div><div class="ttdoc">Compare signed values. </div></div>
<div class="ttc" id="bignum_8h_html_a01de1543da79d0ad0f58916d608f6ff8"><div class="ttname"><a href="bignum_8h.html#a01de1543da79d0ad0f58916d608f6ff8">mpi_shift_r</a></div><div class="ttdeci">int mpi_shift_r(mpi *X, size_t count)</div><div class="ttdoc">Right-shift: X &gt;&gt;= count. </div></div>
<div class="ttc" id="ecp_8h_html_a5dde870beebeca665d636398cd084fba"><div class="ttname"><a href="ecp_8h.html#a5dde870beebeca665d636398cd084fba">POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_BUFFER_TOO_SMALL</div><div class="ttdoc">The buffer is too small to write to. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00036">ecp.h:36</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2ad7b0489f0d40a4f1c1b143d401977a2f"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2ad7b0489f0d40a4f1c1b143d401977a2f">POLARSSL_ECP_DP_SECP192R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00060">ecp.h:60</a></div></div>
<div class="ttc" id="bignum_8h_html_adf5b20e8d8c0a660e4f59f859a0bee18"><div class="ttname"><a href="bignum_8h.html#adf5b20e8d8c0a660e4f59f859a0bee18">mpi_add_mpi</a></div><div class="ttdeci">int mpi_add_mpi(mpi *X, const mpi *A, const mpi *B)</div><div class="ttdoc">Signed addition: X = A + B. </div></div>
<div class="ttc" id="ecp_8h_html_acf20d0c6e6c0f372cd7f23456160c609"><div class="ttname"><a href="ecp_8h.html#acf20d0c6e6c0f372cd7f23456160c609">ecp_gen_key</a></div><div class="ttdeci">int ecp_gen_key(ecp_group_id grp_id, ecp_keypair *key, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</div><div class="ttdoc">Generate a keypair. </div></div>
<div class="ttc" id="structecp__group_html_adb738e2c6df3c75c4b30b2b1c3e61256"><div class="ttname"><a href="structecp__group.html#adb738e2c6df3c75c4b30b2b1c3e61256">ecp_group::G</a></div><div class="ttdeci">ecp_point G</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00142">ecp.h:142</a></div></div>
<div class="ttc" id="structecp__group_html_a8f7b8f453c94152dcb7227639511f323"><div class="ttname"><a href="structecp__group.html#a8f7b8f453c94152dcb7227639511f323">ecp_group::id</a></div><div class="ttdeci">ecp_group_id id</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00138">ecp.h:138</a></div></div>
<div class="ttc" id="structecp__point_html"><div class="ttname"><a href="structecp__point.html">ecp_point</a></div><div class="ttdoc">ECP point structure (jacobian coordinates) </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00104">ecp.h:104</a></div></div>
<div class="ttc" id="structecp__group_html_aa139ffe369496827f4dc0880fc73c02c"><div class="ttname"><a href="structecp__group.html#aa139ffe369496827f4dc0880fc73c02c">ecp_group::T_size</a></div><div class="ttdeci">size_t T_size</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00152">ecp.h:152</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a0dbfef81c231c728a458d4a62b219f44"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a0dbfef81c231c728a458d4a62b219f44">POLARSSL_ECP_DP_SECP521R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00064">ecp.h:64</a></div></div>
<div class="ttc" id="ecp_8h_html_ab091c21f839189f606dfad0ef924af35"><div class="ttname"><a href="ecp_8h.html#ab091c21f839189f606dfad0ef924af35">ecp_is_zero</a></div><div class="ttdeci">int ecp_is_zero(ecp_point *pt)</div><div class="ttdoc">Tell if a point is zero. </div></div>
<div class="ttc" id="ecp_8h_html_a870fd59435f6519b4027050afe24fc7c"><div class="ttname"><a href="ecp_8h.html#a870fd59435f6519b4027050afe24fc7c">ecp_point_init</a></div><div class="ttdeci">void ecp_point_init(ecp_point *pt)</div><div class="ttdoc">Initialize a point (as zero) </div></div>
<div class="ttc" id="structecp__group_html_a83383f769f7a7b0067bd8eb237b30bec"><div class="ttname"><a href="structecp__group.html#a83383f769f7a7b0067bd8eb237b30bec">ecp_group::B</a></div><div class="ttdeci">mpi B</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00141">ecp.h:141</a></div></div>
<div class="ttc" id="structecp__group_html_a6b424e0dbad7d3c900375a2ff0154b95"><div class="ttname"><a href="structecp__group.html#a6b424e0dbad7d3c900375a2ff0154b95">ecp_group::N</a></div><div class="ttdeci">mpi N</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00143">ecp.h:143</a></div></div>
<div class="ttc" id="ecp_8h_html_aa101fa81835bbae3d81cc47ac6ba720a"><div class="ttname"><a href="ecp_8h.html#aa101fa81835bbae3d81cc47ac6ba720a">ecp_curve_info_from_grp_id</a></div><div class="ttdeci">const ecp_curve_info * ecp_curve_info_from_grp_id(ecp_group_id grp_id)</div><div class="ttdoc">Get curve information from an internal group identifier. </div></div>
<div class="ttc" id="bignum_8h_html_a090616da16b87653c025874e1675da79"><div class="ttname"><a href="bignum_8h.html#a090616da16b87653c025874e1675da79">mpi_inv_mod</a></div><div class="ttdeci">int mpi_inv_mod(mpi *X, const mpi *A, const mpi *N)</div><div class="ttdoc">Modular inverse: X = A^-1 mod N. </div></div>
<div class="ttc" id="ecp_8h_html_a42d7d6a91aab9a40f9945db90f5664d8"><div class="ttname"><a href="ecp_8h.html#a42d7d6a91aab9a40f9945db90f5664d8">ecp_point_read_string</a></div><div class="ttdeci">int ecp_point_read_string(ecp_point *P, int radix, const char *x, const char *y)</div><div class="ttdoc">Import a non-zero point from two ASCII strings. </div></div>
<div class="ttc" id="bignum_8h_html_ae1f6507671587755e46bbf0afcae6a8c"><div class="ttname"><a href="bignum_8h.html#ae1f6507671587755e46bbf0afcae6a8c">mpi_free</a></div><div class="ttdeci">void mpi_free(mpi *X)</div><div class="ttdoc">Unallocate one MPI. </div></div>
<div class="ttc" id="bignum_8h_html_a79ee36f6e38e4de6d24047bd685747b4"><div class="ttname"><a href="bignum_8h.html#a79ee36f6e38e4de6d24047bd685747b4">mpi_mul_int</a></div><div class="ttdeci">int mpi_mul_int(mpi *X, const mpi *A, t_sint b)</div><div class="ttdoc">Baseline multiplication: X = A * b Note: despite the functon signature, b is treated as a t_uint...</div></div>
<div class="ttc" id="ecp_8h_html_acbb816c782b4d903a0f0fac9b9d7e748"><div class="ttname"><a href="ecp_8h.html#acbb816c782b4d903a0f0fac9b9d7e748">ecp_group_free</a></div><div class="ttdeci">void ecp_group_free(ecp_group *grp)</div><div class="ttdoc">Free the components of an ECP group. </div></div>
<div class="ttc" id="structecp__curve__info_html"><div class="ttname"><a href="structecp__curve__info.html">ecp_curve_info</a></div><div class="ttdoc">Curve information for use by other modules. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00087">ecp.h:87</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a439f3384e485525b216e3e29c69c45cc"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a439f3384e485525b216e3e29c69c45cc">POLARSSL_ECP_DP_BP384R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00066">ecp.h:66</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a46e7ea9155680f0e7ecb743045a83b58">POLARSSL_ECP_DP_NONE</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00059">ecp.h:59</a></div></div>
<div class="ttc" id="ecp_8h_html_ae0cee19b8786ac1b74b9af1cbdd3c1ac"><div class="ttname"><a href="ecp_8h.html#ae0cee19b8786ac1b74b9af1cbdd3c1ac">ecp_tls_write_point</a></div><div class="ttdeci">int ecp_tls_write_point(const ecp_group *grp, const ecp_point *pt, int format, size_t *olen, unsigned char *buf, size_t blen)</div><div class="ttdoc">Export a point as a TLS ECPoint record. </div></div>
<div class="ttc" id="ecp_8h_html_aaf7e6813178463e3ebb15b0719d1d30a"><div class="ttname"><a href="ecp_8h.html#aaf7e6813178463e3ebb15b0719d1d30a">ecp_gen_keypair</a></div><div class="ttdeci">int ecp_gen_keypair(ecp_group *grp, mpi *d, ecp_point *Q, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</div><div class="ttdoc">Generate a keypair. </div></div>
<div class="ttc" id="ecp_8h_html_a1ef9d88cd3a37a2fef0267d1dfe72510"><div class="ttname"><a href="ecp_8h.html#a1ef9d88cd3a37a2fef0267d1dfe72510">POLARSSL_ECP_MAX_BYTES</a></div><div class="ttdeci">#define POLARSSL_ECP_MAX_BYTES</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00186">ecp.h:186</a></div></div>
<div class="ttc" id="bignum_8h_html_a4d461a7bff5a31df34bbf93ec00ab886"><div class="ttname"><a href="bignum_8h.html#a4d461a7bff5a31df34bbf93ec00ab886">mpi_msb</a></div><div class="ttdeci">size_t mpi_msb(const mpi *X)</div><div class="ttdoc">Return the number of bits up to and including the most significant &#39;1&#39; bit&#39;. </div></div>
<div class="ttc" id="ecp_8h_html_af245b6e35c32a231e18bf335de7de774"><div class="ttname"><a href="ecp_8h.html#af245b6e35c32a231e18bf335de7de774">ecp_use_known_dp</a></div><div class="ttdeci">int ecp_use_known_dp(ecp_group *grp, ecp_group_id index)</div><div class="ttdoc">Set a group using well-known domain parameters. </div></div>
<div class="ttc" id="bignum_8h_html_a752d12c301f4e5df56f17e9bc8d78d74"><div class="ttname"><a href="bignum_8h.html#a752d12c301f4e5df56f17e9bc8d78d74">mpi_read_string</a></div><div class="ttdeci">int mpi_read_string(mpi *X, int radix, const char *s)</div><div class="ttdoc">Import from an ASCII string. </div></div>
<div class="ttc" id="ecp_8h_html_a4d192c7a9b2f415c40a9ec2dc955ea13"><div class="ttname"><a href="ecp_8h.html#a4d192c7a9b2f415c40a9ec2dc955ea13">ecp_copy</a></div><div class="ttdeci">int ecp_copy(ecp_point *P, const ecp_point *Q)</div><div class="ttdoc">Copy the contents of point Q into P. </div></div>
<div class="ttc" id="structmpi_html_aaeeabe339c1cc40d05bdb026666404f8"><div class="ttname"><a href="structmpi.html#aaeeabe339c1cc40d05bdb026666404f8">mpi::p</a></div><div class="ttdeci">t_uint * p</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8h_source.html#l00186">bignum.h:186</a></div></div>
<div class="ttc" id="bignum_8h_html_a0235008cccbf00b8bc03699de8094819"><div class="ttname"><a href="bignum_8h.html#a0235008cccbf00b8bc03699de8094819">mpi_read_binary</a></div><div class="ttdeci">int mpi_read_binary(mpi *X, const unsigned char *buf, size_t buflen)</div><div class="ttdoc">Import X from unsigned binary data, big endian. </div></div>
<div class="ttc" id="structecp__group_html_a1164b1ffac0af85f9bc89b35497036f9"><div class="ttname"><a href="structecp__group.html#a1164b1ffac0af85f9bc89b35497036f9">ecp_group::A</a></div><div class="ttdeci">mpi A</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00140">ecp.h:140</a></div></div>
<div class="ttc" id="ecp_8h_html_aadadbb4be3812ecf219cfd650b78c875"><div class="ttname"><a href="ecp_8h.html#aadadbb4be3812ecf219cfd650b78c875">ecp_tls_write_group</a></div><div class="ttdeci">int ecp_tls_write_group(const ecp_group *grp, size_t *olen, unsigned char *buf, size_t blen)</div><div class="ttdoc">Write the TLS ECParameters record for a group. </div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2">ecp_group_id</a></div><div class="ttdeci">ecp_group_id</div><div class="ttdoc">Domain parameters (curve, subgroup and generator) identifiers. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00057">ecp.h:57</a></div></div>
<div class="ttc" id="ecp_8h_html_af386d2126344b010b0ec7db582b7771c"><div class="ttname"><a href="ecp_8h.html#af386d2126344b010b0ec7db582b7771c">ecp_point_write_binary</a></div><div class="ttdeci">int ecp_point_write_binary(const ecp_group *grp, const ecp_point *P, int format, size_t *olen, unsigned char *buf, size_t buflen)</div><div class="ttdoc">Export a point into unsigned binary data. </div></div>
<div class="ttc" id="ecp_8h_html_a9859e0bafd24035307f33c1aee570eef"><div class="ttname"><a href="ecp_8h.html#a9859e0bafd24035307f33c1aee570eef">ecp_group_init</a></div><div class="ttdeci">void ecp_group_init(ecp_group *grp)</div><div class="ttdoc">Initialize a group (to something meaningless) </div></div>
<div class="ttc" id="structecp__group_html_a372ef0b2cbf3232760e108e5b97c8a3e"><div class="ttname"><a href="structecp__group.html#a372ef0b2cbf3232760e108e5b97c8a3e">ecp_group::nbits</a></div><div class="ttdeci">size_t nbits</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00145">ecp.h:145</a></div></div>
<div class="ttc" id="ecp_8h_html_a8de4c3d074d63c08f314012b604c98c8"><div class="ttname"><a href="ecp_8h.html#a8de4c3d074d63c08f314012b604c98c8">POLARSSL_ERR_ECP_RANDOM_FAILED</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_RANDOM_FAILED</div><div class="ttdoc">Generation of random value, such as (ephemeral) key, failed. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00040">ecp.h:40</a></div></div>
<div class="ttc" id="bignum_8h_html_a8aa3a3d3aac9e49879ea8cd308859d23"><div class="ttname"><a href="bignum_8h.html#a8aa3a3d3aac9e49879ea8cd308859d23">mpi_size</a></div><div class="ttdeci">size_t mpi_size(const mpi *X)</div><div class="ttdoc">Return the total size in bytes. </div></div>
<div class="ttc" id="structecp__point_html_a2fb634222dcf49c352f922a1b07e254e"><div class="ttname"><a href="structecp__point.html#a2fb634222dcf49c352f922a1b07e254e">ecp_point::Y</a></div><div class="ttdeci">mpi Y</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00107">ecp.h:107</a></div></div>
<div class="ttc" id="bignum_8h_html_a6fbcce39a9d92d9e2a560f8aa6a810f4"><div class="ttname"><a href="bignum_8h.html#a6fbcce39a9d92d9e2a560f8aa6a810f4">mpi_copy</a></div><div class="ttdeci">int mpi_copy(mpi *X, const mpi *Y)</div><div class="ttdoc">Copy the contents of Y into X. </div></div>
<div class="ttc" id="structmpi_html_acc8d6d92112b326fcac7c6eff002feb1"><div class="ttname"><a href="structmpi.html#acc8d6d92112b326fcac7c6eff002feb1">mpi::n</a></div><div class="ttdeci">size_t n</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8h_source.html#l00185">bignum.h:185</a></div></div>
<div class="ttc" id="bignum_8h_html_a075d3cf21cb3733e5f0a872e72b0cd15"><div class="ttname"><a href="bignum_8h.html#a075d3cf21cb3733e5f0a872e72b0cd15">mpi_mod_mpi</a></div><div class="ttdeci">int mpi_mod_mpi(mpi *R, const mpi *A, const mpi *B)</div><div class="ttdoc">Modulo: R = A mod B. </div></div>
<div class="ttc" id="bignum_8h_html_a920345ada5c75a913b32a00fed3bd36c"><div class="ttname"><a href="bignum_8h.html#a920345ada5c75a913b32a00fed3bd36c">mpi_get_bit</a></div><div class="ttdeci">int mpi_get_bit(const mpi *X, size_t pos)</div><div class="ttdoc">Get a specific bit from X. </div></div>
<div class="ttc" id="bignum_8h_html_a5d464b4312859ce4969d114eb5e02741"><div class="ttname"><a href="bignum_8h.html#a5d464b4312859ce4969d114eb5e02741">mpi_write_binary</a></div><div class="ttdeci">int mpi_write_binary(const mpi *X, unsigned char *buf, size_t buflen)</div><div class="ttdoc">Export X into unsigned binary data, big endian. </div></div>
<div class="ttc" id="ecp_8h_html_a272a7ee626eea52fa8095a92606d8630"><div class="ttname"><a href="ecp_8h.html#a272a7ee626eea52fa8095a92606d8630">ecp_tls_read_group</a></div><div class="ttdeci">int ecp_tls_read_group(ecp_group *grp, const unsigned char **buf, size_t len)</div><div class="ttdoc">Set a group from a TLS ECParameters record. </div></div>
<div class="ttc" id="structecp__keypair_html_a3a2bd5744991a7b0fbc76c3649a1e8a1"><div class="ttname"><a href="structecp__keypair.html#a3a2bd5744991a7b0fbc76c3649a1e8a1">ecp_keypair::Q</a></div><div class="ttdeci">ecp_point Q</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00167">ecp.h:167</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a7e82b353163bf3307dc5dc5e67e21751"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a7e82b353163bf3307dc5dc5e67e21751">POLARSSL_ECP_DP_SECP256K1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00074">ecp.h:74</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a0b278617b5b1d73d288a094f3d62617a"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a0b278617b5b1d73d288a094f3d62617a">POLARSSL_ECP_DP_SECP192K1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00072">ecp.h:72</a></div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2aed9d986cfbd5e9c7ef26293e43cd3429"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2aed9d986cfbd5e9c7ef26293e43cd3429">POLARSSL_ECP_DP_BP256R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00065">ecp.h:65</a></div></div>
<div class="ttc" id="structecp__point_html_a9770fb9d831f0b15c8bda07600ee8144"><div class="ttname"><a href="structecp__point.html#a9770fb9d831f0b15c8bda07600ee8144">ecp_point::Z</a></div><div class="ttdeci">mpi Z</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00108">ecp.h:108</a></div></div>
<div class="ttc" id="structecp__curve__info_html_a81d5e6fde72a77fe4124f09507f6f00e"><div class="ttname"><a href="structecp__curve__info.html#a81d5e6fde72a77fe4124f09507f6f00e">ecp_curve_info::tls_id</a></div><div class="ttdeci">uint16_t tls_id</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00090">ecp.h:90</a></div></div>
<div class="ttc" id="bignum_8h_html_a9128b59005aad61e8d07bedd0c2973b7"><div class="ttname"><a href="bignum_8h.html#a9128b59005aad61e8d07bedd0c2973b7">mpi_safe_cond_swap</a></div><div class="ttdeci">int mpi_safe_cond_swap(mpi *X, mpi *Y, unsigned char assign)</div><div class="ttdoc">Safe conditional swap X &lt;-&gt; Y if swap is 1. </div></div>
<div class="ttc" id="ecp_8h_html_a2b89dc1f1a90c6bd42fd1f927c2c6a13"><div class="ttname"><a href="ecp_8h.html#a2b89dc1f1a90c6bd42fd1f927c2c6a13">ecp_check_pubkey</a></div><div class="ttdeci">int ecp_check_pubkey(const ecp_group *grp, const ecp_point *pt)</div><div class="ttdoc">Check that a point is a valid public key on this curve. </div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a5c29d432a997b609e72af045b89609f0"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a5c29d432a997b609e72af045b89609f0">POLARSSL_ECP_DP_SECP384R1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00063">ecp.h:63</a></div></div>
<div class="ttc" id="ecp_8h_html_aba258324a27e636af7defe9c8112b1b0"><div class="ttname"><a href="ecp_8h.html#aba258324a27e636af7defe9c8112b1b0">ecp_curve_info_from_tls_id</a></div><div class="ttdeci">const ecp_curve_info * ecp_curve_info_from_tls_id(uint16_t tls_id)</div><div class="ttdoc">Get curve information from a TLS NamedCurve value. </div></div>
<div class="ttc" id="ecp_8h_html_afd34beb5f2c6364b76ed732894fda83f"><div class="ttname"><a href="ecp_8h.html#afd34beb5f2c6364b76ed732894fda83f">ecp_curve_info_from_name</a></div><div class="ttdeci">const ecp_curve_info * ecp_curve_info_from_name(const char *name)</div><div class="ttdoc">Get curve information from a human-readable name. </div></div>
<div class="ttc" id="ecp_8h_html_a59b4740379580218d00c3f0904dda21f"><div class="ttname"><a href="ecp_8h.html#a59b4740379580218d00c3f0904dda21f">ecp_add</a></div><div class="ttdeci">int ecp_add(const ecp_group *grp, ecp_point *R, const ecp_point *P, const ecp_point *Q)</div><div class="ttdoc">Addition: R = P + Q. </div></div>
<div class="ttc" id="bignum_8h_html_ab63bfb07b27db84268491cd7d68bddc0"><div class="ttname"><a href="bignum_8h.html#ab63bfb07b27db84268491cd7d68bddc0">mpi_mul_mpi</a></div><div class="ttdeci">int mpi_mul_mpi(mpi *X, const mpi *A, const mpi *B)</div><div class="ttdoc">Baseline multiplication: X = A * B. </div></div>
<div class="ttc" id="ecp_8h_html_a751fce96f17826537221248b4ed5cbd2a56360e39b811e7f040eb30179451c706"><div class="ttname"><a href="ecp_8h.html#a751fce96f17826537221248b4ed5cbd2a56360e39b811e7f040eb30179451c706">POLARSSL_ECP_DP_SECP224K1</a></div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00073">ecp.h:73</a></div></div>
<div class="ttc" id="ecp_8h_html_a35010124f97bfd47b2d9cc35fb682291"><div class="ttname"><a href="ecp_8h.html#a35010124f97bfd47b2d9cc35fb682291">ecp_set_zero</a></div><div class="ttdeci">int ecp_set_zero(ecp_point *pt)</div><div class="ttdoc">Set a point to zero. </div></div>
<div class="ttc" id="bignum_8h_html_a149a13ed93fddb432fb5edd3126b1186"><div class="ttname"><a href="bignum_8h.html#a149a13ed93fddb432fb5edd3126b1186">mpi_sub_mpi</a></div><div class="ttdeci">int mpi_sub_mpi(mpi *X, const mpi *A, const mpi *B)</div><div class="ttdoc">Signed subtraction: X = A - B. </div></div>
<div class="ttc" id="bignum_8h_html_ac70dd057e989b021c4a535470d6afec9"><div class="ttname"><a href="bignum_8h.html#ac70dd057e989b021c4a535470d6afec9">mpi_set_bit</a></div><div class="ttdeci">int mpi_set_bit(mpi *X, size_t pos, unsigned char val)</div><div class="ttdoc">Set a bit of X to a specific value of 0 or 1. </div></div>
<div class="ttc" id="structecp__group_html_a14f55dfcfab4b1807f499bde186dff1d"><div class="ttname"><a href="structecp__group.html#a14f55dfcfab4b1807f499bde186dff1d">ecp_group::T</a></div><div class="ttdeci">ecp_point * T</div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00151">ecp.h:151</a></div></div>
<div class="ttc" id="bignum_8h_html_acfdf0f6effb7f976a2f90844c492e160"><div class="ttname"><a href="bignum_8h.html#acfdf0f6effb7f976a2f90844c492e160">mpi_sub_int</a></div><div class="ttdeci">int mpi_sub_int(mpi *X, const mpi *A, t_sint b)</div><div class="ttdoc">Signed subtraction: X = A - b. </div></div>
<div class="ttc" id="ecp_8h_html_a200efec3d662151ea19bcd730807c769"><div class="ttname"><a href="ecp_8h.html#a200efec3d662151ea19bcd730807c769">POLARSSL_ERR_ECP_INVALID_KEY</a></div><div class="ttdeci">#define POLARSSL_ERR_ECP_INVALID_KEY</div><div class="ttdoc">Invalid private or public key. </div><div class="ttdef"><b>Definition:</b> <a href="ecp_8h_source.html#l00041">ecp.h:41</a></div></div>
<div class="ttc" id="ecp_8h_html_a8c9caf072a4466fb8191a07a2927d367"><div class="ttname"><a href="ecp_8h.html#a8c9caf072a4466fb8191a07a2927d367">ecp_keypair_free</a></div><div class="ttdeci">void ecp_keypair_free(ecp_keypair *key)</div><div class="ttdoc">Free the components of a key pair. </div></div>
<div class="ttc" id="ecp_8h_html_a6673012c82015c0b1908bb02d5360a96"><div class="ttname"><a href="ecp_8h.html#a6673012c82015c0b1908bb02d5360a96">ecp_tls_read_point</a></div><div class="ttdeci">int ecp_tls_read_point(const ecp_group *grp, ecp_point *pt, const unsigned char **buf, size_t len)</div><div class="ttdoc">Import a point from a TLS ECPoint record. </div></div>
<div class="ttc" id="ecp_8h_html_ac98810f90e8dd16117fc7df87865f601"><div class="ttname"><a href="ecp_8h.html#ac98810f90e8dd16117fc7df87865f601">ecp_grp_id_list</a></div><div class="ttdeci">const ecp_group_id * ecp_grp_id_list(void)</div><div class="ttdoc">Get the list of supported curves in order of preferrence (grp_id only) </div></div>
<div class="ttc" id="ecp_8h_html_aae12d1249a51715d00880740ea0b1e8f"><div class="ttname"><a href="ecp_8h.html#aae12d1249a51715d00880740ea0b1e8f">ecp_group_read_string</a></div><div class="ttdeci">int ecp_group_read_string(ecp_group *grp, int radix, const char *p, const char *b, const char *gx, const char *gy, const char *n)</div><div class="ttdoc">Import an ECP group from null-terminated ASCII strings. </div></div>
<div class="ttc" id="bignum_8h_html_a024b186dd3608bcbcfc9dd36212a18ec"><div class="ttname"><a href="bignum_8h.html#a024b186dd3608bcbcfc9dd36212a18ec">MPI_CHK</a></div><div class="ttdeci">#define MPI_CHK(f)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8h_source.html#l00065">bignum.h:65</a></div></div>
<div class="ttc" id="ecp_8h_html_a6a949f9b9194bbf02dc83d3aa0c61567"><div class="ttname"><a href="ecp_8h.html#a6a949f9b9194bbf02dc83d3aa0c61567">ecp_point_free</a></div><div class="ttdeci">void ecp_point_free(ecp_point *pt)</div><div class="ttdoc">Free the components of a point. </div></div>
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