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<a href="integer_8h.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">// integer.h - originally written and placed in the public domain by Wei Dai</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"></span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">/// \file integer.h</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">/// \brief Multiple precision integer with arithmetic operations</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">/// \details The Integer class can represent positive and negative integers</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">/// with absolute value less than (256**sizeof(word))<sup>(256**sizeof(int))</sup>.</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">/// \details Internally, the library uses a sign magnitude representation, and the class</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">/// has two data members. The first is a IntegerSecBlock (a SecBlock<word>) and it is</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">/// used to hold the representation. The second is a Sign (an enumeration), and it is</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">/// used to track the sign of the Integer.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">/// \details For details on how the Integer class initializes its function pointers using</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">/// InitializeInteger and how it creates Integer::Zero(), Integer::One(), and</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment">/// Integer::Two(), then see the comments at the top of <tt>integer.cpp</tt>.</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">/// \since Crypto++ 1.0</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="preprocessor">#ifndef CRYPTOPP_INTEGER_H</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#define CRYPTOPP_INTEGER_H</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="cryptlib_8h.html">cryptlib.h</a>"</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="secblock_8h.html">secblock.h</a>"</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="stdcpp_8h.html">stdcpp.h</a>"</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include <iosfwd></span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> </div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> NAMESPACE_BEGIN(<a class="code" href="namespace_crypto_p_p.html">CryptoPP</a>)</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">/// \struct InitializeInteger</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"></span><span class="comment">/// \brief Performs static initialization of the Integer class</span></div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="struct_initialize_integer.html"> 29</a></span> <span class="comment"></span>struct <a class="code" href="struct_initialize_integer.html">InitializeInteger</a></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="struct_initialize_integer.html">InitializeInteger</a>();</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> };</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// Always align, http://github.com/weidai11/cryptopp/issues/256</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">typedef</span> <a class="code" href="class_sec_block.html">SecBlock<word, AllocatorWithCleanup<word, true></a> > <a class="code" href="class_sec_block.html">IntegerSecBlock</a>;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"></span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment">/// \brief Multiple precision integer with arithmetic operations</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">/// \details The Integer class can represent positive and negative integers</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">/// with absolute value less than (256**sizeof(word))<sup>(256**sizeof(int))</sup>.</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">/// \details Internally, the library uses a sign magnitude representation, and the class</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment">/// has two data members. The first is a IntegerSecBlock (a SecBlock<word>) and it is</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment">/// used to hold the representation. The second is a Sign (an enumeration), and it is</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment">/// used to track the sign of the Integer.</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">/// \details For details on how the Integer class initializes its function pointers using</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">/// InitializeInteger and how it creates Integer::Zero(), Integer::One(), and</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">/// Integer::Two(), then see the comments at the top of <tt>integer.cpp</tt>.</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">/// \since Crypto++ 1.0</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">/// \nosubgrouping</span></div><div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="class_integer.html"> 49</a></span> <span class="comment"></span><span class="keyword">class </span>CRYPTOPP_DLL <a class="code" href="class_integer.html">Integer</a> : <span class="keyword">private</span> <a class="code" href="struct_initialize_integer.html">InitializeInteger</a>, <span class="keyword">public</span> <a class="code" href="class_a_s_n1_object.html">ASN1Object</a></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> {</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">public</span>:<span class="comment"></span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> /// \name ENUMS, EXCEPTIONS, and TYPEDEFS</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"></span><span class="comment"> /// \brief Exception thrown when division by 0 is encountered</span></div><div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="class_integer_1_1_divide_by_zero.html"> 55</a></span> <span class="comment"></span> <span class="keyword">class </span><a class="code" href="class_integer_1_1_divide_by_zero.html">DivideByZero</a> : <span class="keyword">public</span> <a class="code" href="class_exception.html">Exception</a></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="keyword">public</span>:</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="class_integer_1_1_divide_by_zero.html">DivideByZero</a>() : <a class="code" href="class_exception.html">Exception</a>(OTHER_ERROR, <span class="stringliteral">"Integer: division by zero"</span>) {}</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  };</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"></span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> /// \brief Exception thrown when a random number cannot be found that</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> /// satisfies the condition</span></div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="class_integer_1_1_random_number_not_found.html"> 63</a></span> <span class="comment"></span> <span class="keyword">class </span><a class="code" href="class_integer_1_1_random_number_not_found.html">RandomNumberNotFound</a> : <span class="keyword">public</span> <a class="code" href="class_exception.html">Exception</a></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  {</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="class_integer_1_1_random_number_not_found.html">RandomNumberNotFound</a>() : <a class="code" href="class_exception.html">Exception</a>(OTHER_ERROR, <span class="stringliteral">"Integer: no integer satisfies the given parameters"</span>) {}</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  };</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"></span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> /// \enum Sign</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> /// \brief Used internally to represent the integer</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> /// \details Sign is used internally to represent the integer. It is also used in a few API functions.</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> /// \sa SetPositive(), SetNegative(), Signedness</span></div><div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="class_integer.html#ae0d4d9975fb6ab7667aab6f7ab8612d2"> 73</a></span> <span class="comment"></span> <span class="keyword">enum</span> <a class="code" href="class_integer.html#ae0d4d9975fb6ab7667aab6f7ab8612d2">Sign</a> {<span class="comment"></span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> /// \brief the value is positive or 0</span></div><div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="class_integer.html#ae0d4d9975fb6ab7667aab6f7ab8612d2ad10299fe0b190d3de927db776b8dc42d"> 75</a></span> <span class="comment"></span> POSITIVE=0,<span class="comment"></span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> /// \brief the value is negative</span></div><div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="class_integer.html#ae0d4d9975fb6ab7667aab6f7ab8612d2a8f19e88ce9bdf42cea3e070d5aa26f14"> 77</a></span> <span class="comment"></span> NEGATIVE=1};</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"></span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"> /// \enum Signedness</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> /// \brief Used when importing and exporting integers</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> /// \details Signedness is usually used in API functions.</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> /// \sa Sign</span></div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926"> 83</a></span> <span class="comment"></span> <span class="keyword">enum</span> <a class="code" href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926">Signedness</a> {<span class="comment"></span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"> /// \brief an unsigned value</span></div><div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926ab4fe86ca57cc3668213b99032ca274df"> 85</a></span> <span class="comment"></span> <a class="code" href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926ab4fe86ca57cc3668213b99032ca274df">UNSIGNED</a>,<span class="comment"></span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> /// \brief a signed value</span></div><div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926a4a42c6ec9823d7d75dcfd97ef6276ccb"> 87</a></span> <span class="comment"></span> SIGNED};</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment"></span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> /// \enum RandomNumberType</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> /// \brief Properties of a random integer</span></div><div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3"> 91</a></span> <span class="comment"></span> <span class="keyword">enum</span> <a class="code" href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3">RandomNumberType</a> {<span class="comment"></span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"> /// \brief a number with no special properties</span></div><div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3ad9b396a7ba736a4ca02db0125cc8c6a4"> 93</a></span> <span class="comment"></span> <a class="code" href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3ad9b396a7ba736a4ca02db0125cc8c6a4">ANY</a>,<span class="comment"></span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"> /// \brief a number which is probabilistically prime</span></div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3afe686f55e5b6768b20009a12522bd0d9"> 95</a></span> <span class="comment"></span> PRIME};<span class="comment"></span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> /// \name CREATORS</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"></span><span class="comment"> /// \brief Creates the zero integer</span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>();</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"></span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment"> /// copy constructor</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"></span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> /// \brief Convert from signed long</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<span class="keywordtype">signed</span> <span class="keywordtype">long</span> value);</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"></span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment"> /// \brief Convert from lword</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"> /// \param sign enumeration indicating Sign</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> /// \param value the long word</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(Sign sign, lword value);</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"></span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> /// \brief Convert from two words</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> /// \param sign enumeration indicating Sign</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> /// \param highWord the high word</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> /// \param lowWord the low word</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(Sign sign, word highWord, word lowWord);</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"></span></div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> /// \brief Convert from a C-string</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"> /// \param str C-string value</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment"> /// \param order the ByteOrder of the string to be processed</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"> /// \details \p str can be in base 2, 8, 10, or 16. Base is determined by a case</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"> /// insensitive suffix of 'h', 'o', or 'b'. No suffix means base 10.</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> /// \details Byte order was added at Crypto++ 5.7 to allow use of little-endian</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> /// integers with curve25519, Poly1305 and Microsoft CAPI.</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"></span> <span class="keyword">explicit</span> <a class="code" href="class_integer.html">Integer</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> *str, <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142b">ByteOrder</a> order = <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57">BIG_ENDIAN_ORDER</a>);</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"></span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> /// \brief Convert from a wide C-string</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> /// \param str wide C-string value</span></div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> /// \param order the ByteOrder of the string to be processed</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> /// \details \p str can be in base 2, 8, 10, or 16. Base is determined by a case</span></div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> /// insensitive suffix of 'h', 'o', or 'b'. No suffix means base 10.</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"> /// \details Byte order was added at Crypto++ 5.7 to allow use of little-endian</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> /// integers with curve25519, Poly1305 and Microsoft CAPI.</span></div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"></span> <span class="keyword">explicit</span> <a class="code" href="class_integer.html">Integer</a>(<span class="keyword">const</span> <span class="keywordtype">wchar_t</span> *str, <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142b">ByteOrder</a> order = <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57">BIG_ENDIAN_ORDER</a>);</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"></span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment"> /// \brief Convert from a big-endian byte array</span></div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"> /// \param encodedInteger big-endian byte array</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> /// \param byteCount length of the byte array</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> /// \param order the ByteOrder of the array to be processed</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> /// \details Byte order was added at Crypto++ 5.7 to allow use of little-endian</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> /// integers with curve25519, Poly1305 and Microsoft CAPI.</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<span class="keyword">const</span> byte *encodedInteger, <span class="keywordtype">size_t</span> byteCount, Signedness sign=UNSIGNED, <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142b">ByteOrder</a> order = <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57">BIG_ENDIAN_ORDER</a>);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"></span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment"> /// \brief Convert from a big-endian array</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment"> /// \param bt BufferedTransformation object with big-endian byte array</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment"> /// \param byteCount length of the byte array</span></div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment"> /// \param order the ByteOrder of the data to be processed</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"> /// \details Byte order was added at Crypto++ 5.7 to allow use of little-endian</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> /// integers with curve25519, Poly1305 and Microsoft CAPI.</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> byteCount, Signedness sign=UNSIGNED, <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142b">ByteOrder</a> order = <a class="code" href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57">BIG_ENDIAN_ORDER</a>);</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"></span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> /// \brief Convert from a BER encoded byte array</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment"> /// \param bt BufferedTransformation object with BER encoded byte array</span></div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment"></span> <span class="keyword">explicit</span> <a class="code" href="class_integer.html">Integer</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"></span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> /// \brief Create a random integer</span></div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"> /// \param bitCount the number of bits in the resulting integer</span></div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"> /// \details The random integer created is uniformly distributed over <tt>[0, 2<sup>bitCount</sup>]</tt>.</span></div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keywordtype">size_t</span> bitCount);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment"></span></div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> /// \brief Integer representing 0</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> /// \returns an Integer representing 0</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment"> /// \details Zero() avoids calling constructors for frequently used integers</span></div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> & CRYPTOPP_API Zero();<span class="comment"></span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> /// \brief Integer representing 1</span></div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"> /// \returns an Integer representing 1</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> /// \details One() avoids calling constructors for frequently used integers</span></div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> & CRYPTOPP_API One();<span class="comment"></span></div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> /// \brief Integer representing 2</span></div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment"> /// \returns an Integer representing 2</span></div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"> /// \details Two() avoids calling constructors for frequently used integers</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> & CRYPTOPP_API Two();</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"></span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> /// \brief Create a random integer of special form</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment"> /// \param min the minimum value</span></div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment"> /// \param max the maximum value</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment"> /// \param rnType RandomNumberType to specify the type</span></div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment"> /// \param equiv the equivalence class based on the parameter \p mod</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment"> /// \param mod the modulus used to reduce the equivalence class</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment"> /// \throw RandomNumberNotFound if the set is empty.</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"> /// \details Ideally, the random integer created should be uniformly distributed</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> /// over <tt>{x | min <= x <= max</tt> and \p x is of rnType and <tt>x \% mod == equiv}</tt>.</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> /// However the actual distribution may not be uniform because sequential</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> /// search is used to find an appropriate number from a random starting</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> /// point.</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> /// \details May return (with very small probability) a pseudoprime when a prime</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> /// is requested and <tt>max > lastSmallPrime*lastSmallPrime</tt>. \p lastSmallPrime</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment"> /// is declared in nbtheory.h.</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &min, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &max, RandomNumberType rnType=ANY, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &equiv=Zero(), <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &mod=One());</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment"></span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> /// \brief Exponentiates to a power of 2</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"> /// \returns the Integer 2<sup>e</sup></span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"></span> <span class="keyword">static</span> <a class="code" href="class_integer.html">Integer</a> CRYPTOPP_API Power2(<span class="keywordtype">size_t</span> e);<span class="comment"></span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment"> /// \name ENCODE/DECODE</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment"></span><span class="comment"> /// \brief Minimum number of bytes to encode this integer</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment"></span><span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"></span><span class="comment"> /// \note The MinEncodedSize() of 0 is 1.</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment"></span> <span class="keywordtype">size_t</span> MinEncodedSize(Signedness sign=UNSIGNED) <span class="keyword">const</span>;</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"></span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment"> /// \brief Encode in big-endian format</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"> /// \param output big-endian byte array</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"> /// \param outputLen length of the byte array</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment"> /// \details Unsigned means encode absolute value, signed means encode two's complement if negative.</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"> /// \details outputLen can be used to ensure an Integer is encoded to an exact size (rather than a</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"> /// minimum size). An exact size is useful, for example, when encoding to a field element size.</span></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment"></span> <span class="keywordtype">void</span> Encode(byte *output, <span class="keywordtype">size_t</span> outputLen, Signedness sign=UNSIGNED) <span class="keyword">const</span>;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"></span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment"> /// \brief Encode in big-endian format</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"> /// \param outputLen length of the encoding</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment"> /// \details Unsigned means encode absolute value, signed means encode two's complement if negative.</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment"> /// \details outputLen can be used to ensure an Integer is encoded to an exact size (rather than a</span></div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"> /// minimum size). An exact size is useful, for example, when encoding to a field element size.</span></div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"></span> <span class="keywordtype">void</span> Encode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> outputLen, Signedness sign=UNSIGNED) <span class="keyword">const</span>;</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"></span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"> /// \brief Encode in DER format</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment"> /// \details Encodes the Integer using Distinguished Encoding Rules</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment"> /// The result is placed into a BufferedTransformation object</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_a_s_n1_object.html#a10e40187a6ba048dfc8a2c8ca5c6c2ec">DEREncode</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</span>;</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment"></span></div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="comment"> /// \brief Encode absolute value as big-endian octet string</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment"> /// \param length the number of mytes to decode</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="comment"></span> <span class="keywordtype">void</span> DEREncodeAsOctetString(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> length) <span class="keyword">const</span>;</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="comment"></span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="comment"> /// \brief Encode absolute value in OpenPGP format</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="comment"> /// \param output big-endian byte array</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment"> /// \param bufferSize length of the byte array</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment"> /// \returns length of the output</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="comment"> /// \details OpenPGPEncode places result into the buffer and returns the</span></div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"> /// number of bytes used for the encoding</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"></span> <span class="keywordtype">size_t</span> OpenPGPEncode(byte *output, <span class="keywordtype">size_t</span> bufferSize) <span class="keyword">const</span>;</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"></span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment"> /// \brief Encode absolute value in OpenPGP format</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"> /// \returns length of the output</span></div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> /// \details OpenPGPEncode places result into a BufferedTransformation object and returns the</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment"> /// number of bytes used for the encoding</span></div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"></span> <span class="keywordtype">size_t</span> OpenPGPEncode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt) <span class="keyword">const</span>;</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment"></span></div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="comment"> /// \brief Decode from big-endian byte array</span></div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="comment"> /// \param input big-endian byte array</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="comment"> /// \param inputLen length of the byte array</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="comment"></span> <span class="keywordtype">void</span> Decode(<span class="keyword">const</span> byte *input, <span class="keywordtype">size_t</span> inputLen, Signedness sign=UNSIGNED);</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="comment"></span></div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment"> /// \brief Decode nonnegative value from big-endian byte array</span></div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment"> /// \param inputLen length of the byte array</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment"> /// \param sign enumeration indicating Signedness</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment"> /// \note <tt>bt.MaxRetrievable() >= inputLen</tt>.</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"></span> <span class="keywordtype">void</span> Decode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> inputLen, Signedness sign=UNSIGNED);</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"></span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> /// \brief Decode from BER format</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"> /// \param input big-endian byte array</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment"> /// \param inputLen length of the byte array</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_a_s_n1_object.html#a430af8c994bc78d996067247fa5a0770">BERDecode</a>(<span class="keyword">const</span> byte *input, <span class="keywordtype">size_t</span> inputLen);</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment"></span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment"> /// \brief Decode from BER format</span></div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_a_s_n1_object.html#a430af8c994bc78d996067247fa5a0770">BERDecode</a>(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt);</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"></span></div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> /// \brief Decode nonnegative value from big-endian octet string</span></div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"> /// \param length length of the byte array</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment"></span> <span class="keywordtype">void</span> BERDecodeAsOctetString(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt, <span class="keywordtype">size_t</span> length);</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"></span></div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment"> /// \brief Exception thrown when an error is encountered decoding an OpenPGP integer</span></div><div class="line"><a name="l00282"></a><span class="lineno"><a class="line" href="class_integer_1_1_open_p_g_p_decode_err.html"> 282</a></span> <span class="comment"></span> <span class="keyword">class </span><a class="code" href="class_integer_1_1_open_p_g_p_decode_err.html">OpenPGPDecodeErr</a> : <span class="keyword">public</span> <a class="code" href="class_exception.html">Exception</a></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="keyword">public</span>:</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="class_integer_1_1_open_p_g_p_decode_err.html">OpenPGPDecodeErr</a>() : <a class="code" href="class_exception.html">Exception</a>(INVALID_DATA_FORMAT, <span class="stringliteral">"OpenPGP decode error"</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> <span class="comment"></span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="comment"> /// \brief Decode from OpenPGP format</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="comment"> /// \param input big-endian byte array</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="comment"> /// \param inputLen length of the byte array</span></div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="comment"></span> <span class="keywordtype">void</span> OpenPGPDecode(<span class="keyword">const</span> byte *input, <span class="keywordtype">size_t</span> inputLen);<span class="comment"></span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="comment"> /// \brief Decode from OpenPGP format</span></div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"> /// \param bt BufferedTransformation object</span></div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment"></span> <span class="keywordtype">void</span> OpenPGPDecode(<a class="code" href="class_buffered_transformation.html">BufferedTransformation</a> &bt);<span class="comment"></span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment"> /// \name ACCESSORS</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"></span><span class="comment"> /// \brief Determines if the Integer is convertable to Long</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="comment"></span><span class="comment"> /// \returns true if *this can be represented as a signed long</span></div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="comment"></span><span class="comment"> /// \sa ConvertToLong()</span></div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="comment"></span> <span class="keywordtype">bool</span> IsConvertableToLong() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment"> /// \brief Convert the Integer to Long</span></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment"> /// \return equivalent signed long if possible, otherwise undefined</span></div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment"> /// \sa IsConvertableToLong()</span></div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="comment"></span> <span class="keywordtype">signed</span> <span class="keywordtype">long</span> ConvertToLong() <span class="keyword">const</span>;</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment"></span></div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment"> /// \brief Determines the number of bits required to represent the Integer</span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment"> /// \returns number of significant bits = floor(log2(abs(*this))) + 1</span></div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment"></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> BitCount() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment"> /// \brief Determines the number of bytes required to represent the Integer</span></div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment"> /// \returns number of significant bytes = ceiling(BitCount()/8)</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment"></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> ByteCount() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment"> /// \brief Determines the number of words required to represent the Integer</span></div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="comment"> /// \returns number of significant words = ceiling(ByteCount()/sizeof(word))</span></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment"></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> WordCount() <span class="keyword">const</span>;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment"></span></div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="comment"> /// \brief Provides the i-th bit of the Integer</span></div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="comment"> /// \returns the i-th bit, i=0 being the least significant bit</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="comment"></span> <span class="keywordtype">bool</span> GetBit(<span class="keywordtype">size_t</span> i) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment"> /// \brief Provides the i-th byte of the Integer</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="comment"> /// \returns the i-th byte</span></div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="comment"></span> byte <a class="code" href="misc_8h.html#a9a2ceb73851e757cb436cdbaa0242219">GetByte</a>(<span class="keywordtype">size_t</span> i) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment"> /// \brief Provides the low order bits of the Integer</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment"> /// \returns n lowest bits of *this >> i</span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="comment"></span> lword GetBits(<span class="keywordtype">size_t</span> i, <span class="keywordtype">size_t</span> n) <span class="keyword">const</span>;</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <span class="comment"></span></div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="comment"> /// \brief Determines if the Integer is 0</span></div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment"> /// \returns true if the Integer is 0, false otherwise</span></div><div class="line"><a name="l00330"></a><span class="lineno"><a class="line" href="class_integer.html#acca1f2de6c0bfa91c49950daf681b678"> 330</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#acca1f2de6c0bfa91c49950daf681b678">IsZero</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> !*<span class="keyword">this</span>;}<span class="comment"></span></div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment"> /// \brief Determines if the Integer is non-0</span></div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="comment"> /// \returns true if the Integer is non-0, false otherwise</span></div><div class="line"><a name="l00333"></a><span class="lineno"><a class="line" href="class_integer.html#a5364029d13bf6d21e7b578127160dbed"> 333</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#a5364029d13bf6d21e7b578127160dbed">NotZero</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> !IsZero();}<span class="comment"></span></div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="comment"> /// \brief Determines if the Integer is negative</span></div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="comment"> /// \returns true if the Integer is negative, false otherwise</span></div><div class="line"><a name="l00336"></a><span class="lineno"><a class="line" href="class_integer.html#ad767ae81c89be3804da8785e132d2d1f"> 336</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#ad767ae81c89be3804da8785e132d2d1f">IsNegative</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> sign == NEGATIVE;}<span class="comment"></span></div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="comment"> /// \brief Determines if the Integer is non-negative</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="comment"> /// \returns true if the Integer is non-negative, false otherwise</span></div><div class="line"><a name="l00339"></a><span class="lineno"><a class="line" href="class_integer.html#a880ab53116f2b9f527489d86ee806896"> 339</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#a880ab53116f2b9f527489d86ee806896">NotNegative</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> !IsNegative();}<span class="comment"></span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="comment"> /// \brief Determines if the Integer is positive</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="comment"> /// \returns true if the Integer is positive, false otherwise</span></div><div class="line"><a name="l00342"></a><span class="lineno"><a class="line" href="class_integer.html#a13ddbfd8e9729932c2a99b0dff530978"> 342</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#a13ddbfd8e9729932c2a99b0dff530978">IsPositive</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> NotNegative() && NotZero();}<span class="comment"></span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="comment"> /// \brief Determines if the Integer is non-positive</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="comment"> /// \returns true if the Integer is non-positive, false otherwise</span></div><div class="line"><a name="l00345"></a><span class="lineno"><a class="line" href="class_integer.html#a82c26b308640b25c35213da4c315f3ce"> 345</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#a82c26b308640b25c35213da4c315f3ce">NotPositive</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> !IsPositive();}<span class="comment"></span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment"> /// \brief Determines if the Integer is even parity</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="comment"> /// \returns true if the Integer is even, false otherwise</span></div><div class="line"><a name="l00348"></a><span class="lineno"><a class="line" href="class_integer.html#afedf9af097a3417d8bd3742ec53f9593"> 348</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#afedf9af097a3417d8bd3742ec53f9593">IsEven</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> GetBit(0) == 0;}<span class="comment"></span></div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="comment"> /// \brief Determines if the Integer is odd parity</span></div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment"> /// \returns true if the Integer is odd, false otherwise</span></div><div class="line"><a name="l00351"></a><span class="lineno"><a class="line" href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d"> 351</a></span> <span class="comment"></span> <span class="keywordtype">bool</span> <a class="code" href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d">IsOdd</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> GetBit(0) == 1;}<span class="comment"></span></div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="comment"> /// \name MANIPULATORS</span></div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="comment"></span><span class="comment"> /// \brief Assignment</span></div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);</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"> /// \brief Addition Assignment</span></div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator+=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);<span class="comment"></span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="comment"> /// \brief Subtraction Assignment</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator-=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);<span class="comment"></span></div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="comment"> /// \brief Multiplication Assignment</span></div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00365"></a><span class="lineno"><a class="line" href="class_integer.html#adb1320901d7bbf1ee52bf27bacdfb9df"> 365</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& <a class="code" href="class_integer.html#adb1320901d7bbf1ee52bf27bacdfb9df">operator*=</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) {<span class="keywordflow">return</span> *<span class="keyword">this</span> = Times(t);}<span class="comment"></span></div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="comment"> /// \brief Division Assignment</span></div><div class="line"><a name="l00367"></a><span class="lineno"><a class="line" href="class_integer.html#a80e968a9c7afc4979fe2148170ec7458"> 367</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& <a class="code" href="class_integer.html#a80e968a9c7afc4979fe2148170ec7458">operator/=</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) {<span class="keywordflow">return</span> *<span class="keyword">this</span> = DividedBy(t);}<span class="comment"></span></div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="comment"> /// \brief Remainder Assignment</span></div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00370"></a><span class="lineno"><a class="line" href="class_integer.html#a468142f7860854f6e97910af4eb2b220"> 370</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& <a class="code" href="class_integer.html#a468142f7860854f6e97910af4eb2b220">operator%=</a>(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) {<span class="keywordflow">return</span> *<span class="keyword">this</span> = Modulo(t);}<span class="comment"></span></div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="comment"> /// \brief Division Assignment</span></div><div class="line"><a name="l00372"></a><span class="lineno"><a class="line" href="class_integer.html#a6fcad58a76f3cedc4134a18d56ebb808"> 372</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& <a class="code" href="class_integer.html#a6fcad58a76f3cedc4134a18d56ebb808">operator/=</a>(word t) {<span class="keywordflow">return</span> *<span class="keyword">this</span> = DividedBy(t);}<span class="comment"></span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="comment"> /// \brief Remainder Assignment</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00375"></a><span class="lineno"><a class="line" href="class_integer.html#a3874b6ac8979328ce532eebc8b275eab"> 375</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& <a class="code" href="class_integer.html#a3874b6ac8979328ce532eebc8b275eab">operator%=</a>(word t) {<span class="keywordflow">return</span> *<span class="keyword">this</span> = <a class="code" href="class_integer.html">Integer</a>(POSITIVE, 0, Modulo(t));}</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="comment"></span></div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"> /// \brief Left-shift Assignment</span></div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator<<=(<span class="keywordtype">size_t</span> n);<span class="comment"></span></div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment"> /// \brief Right-shift Assignment</span></div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator>>=(<span class="keywordtype">size_t</span> n);</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="comment"></span></div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="comment"> /// \brief Bitwise AND Assignment</span></div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="comment"> /// \param t the other Integer</span></div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="comment"> /// \returns the result of *this & t</span></div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span> <span class="comment"> /// \details operator&=() performs a bitwise AND on *this. Missing bits are truncated</span></div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="comment"> /// at the most significant bit positions, so the result is as small as the</span></div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span> <span class="comment"> /// smaller of the operands.</span></div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator&=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);<span class="comment"></span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment"> /// \brief Bitwise OR Assignment</span></div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment"> /// \param t the second Integer</span></div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment"> /// \returns the result of *this | t</span></div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="comment"> /// \details operator|=() performs a bitwise OR on *this. Missing bits are shifted in</span></div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment"> /// at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment"> /// larger of the operands.</span></div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator|=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);<span class="comment"></span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="comment"> /// \brief Bitwise XOR Assignment</span></div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="comment"> /// \param t the other Integer</span></div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="comment"> /// \returns the result of *this ^ t</span></div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="comment"> /// \details operator^=() performs a bitwise XOR on *this. Missing bits are shifted</span></div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="comment"> /// in at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="comment"> /// larger of the operands.</span></div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator^=(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t);</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="comment"></span></div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment"> /// \brief Set this Integer to random integer</span></div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="comment"> /// \param bitCount the number of bits in the resulting integer</span></div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="comment"> /// \details The random integer created is uniformly distributed over <tt>[0, 2<sup>bitCount</sup>]</tt>.</span></div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="comment"></span> <span class="keywordtype">void</span> Randomize(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keywordtype">size_t</span> bitCount);</div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="comment"></span></div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span> <span class="comment"> /// \brief Set this Integer to random integer</span></div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="comment"> /// \param min the minimum value</span></div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="comment"> /// \param max the maximum value</span></div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="comment"> /// \details The random integer created is uniformly distributed over <tt>[min, max]</tt>.</span></div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span> <span class="comment"></span> <span class="keywordtype">void</span> Randomize(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &min, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &max);</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span> <span class="comment"></span></div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="comment"> /// \brief Set this Integer to random integer of special form</span></div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="comment"> /// \param min the minimum value</span></div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="comment"> /// \param max the maximum value</span></div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="comment"> /// \param rnType RandomNumberType to specify the type</span></div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="comment"> /// \param equiv the equivalence class based on the parameter \p mod</span></div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="comment"> /// \param mod the modulus used to reduce the equivalence class</span></div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span> <span class="comment"> /// \throw RandomNumberNotFound if the set is empty.</span></div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="comment"> /// \details Ideally, the random integer created should be uniformly distributed</span></div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="comment"> /// over <tt>{x | min <= x <= max</tt> and \p x is of rnType and <tt>x \% mod == equiv}</tt>.</span></div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="comment"> /// However the actual distribution may not be uniform because sequential</span></div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span> <span class="comment"> /// search is used to find an appropriate number from a random starting</span></div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span> <span class="comment"> /// point.</span></div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span> <span class="comment"> /// \details May return (with very small probability) a pseudoprime when a prime</span></div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span> <span class="comment"> /// is requested and <tt>max > lastSmallPrime*lastSmallPrime</tt>. \p lastSmallPrime</span></div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span> <span class="comment"> /// is declared in nbtheory.h.</span></div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="comment"></span> <span class="keywordtype">bool</span> Randomize(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &min, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &max, RandomNumberType rnType, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &equiv=Zero(), <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &mod=One());</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="comment"> /// \brief Generate a random number</span></div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span> <span class="comment"> /// \param params additional parameters that cannot be passed directly to the function</span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span> <span class="comment"> /// \returns true if a random number was generated, false otherwise</span></div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span> <span class="comment"> /// \details GenerateRandomNoThrow attempts to generate a random number according to the</span></div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="comment"> /// parameters specified in params. The function does not throw RandomNumberNotFound.</span></div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span> <span class="comment"> /// \details The example below generates a prime number using NameValuePairs that Integer</span></div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span> <span class="comment"> /// class recognizes. The names are not provided in argnames.h.</span></div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="comment"> /// <pre></span></div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="comment"> /// AutoSeededRandomPool prng;</span></div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="comment"> /// AlgorithmParameters params = MakeParameters("BitLength", 2048)</span></div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="comment"> /// ("RandomNumberType", Integer::PRIME);</span></div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span> <span class="comment"> /// Integer x;</span></div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="comment"> /// if (x.GenerateRandomNoThrow(prng, params) == false)</span></div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="comment"> /// throw std::runtime_error("Failed to generate prime number");</span></div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="comment"> /// </pre></span></div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="comment"></span> <span class="keywordtype">bool</span> GenerateRandomNoThrow(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html">NameValuePairs</a> &params = <a class="code" href="cryptlib_8h.html#a04be65ada92ccb1e6aac0d94b4cc394b">g_nullNameValuePairs</a>);</div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="comment"></span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="comment"> /// \brief Generate a random number</span></div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="comment"> /// \param rng RandomNumberGenerator used to generate material</span></div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="comment"> /// \param params additional parameters that cannot be passed directly to the function</span></div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="comment"> /// \throw RandomNumberNotFound if a random number is not found</span></div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="comment"> /// \details GenerateRandom attempts to generate a random number according to the</span></div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="comment"> /// parameters specified in params.</span></div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="comment"> /// \details The example below generates a prime number using NameValuePairs that Integer</span></div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span> <span class="comment"> /// class recognizes. The names are not provided in argnames.h.</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="comment"> /// <pre></span></div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="comment"> /// AutoSeededRandomPool prng;</span></div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span> <span class="comment"> /// AlgorithmParameters params = MakeParameters("BitLength", 2048)</span></div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span> <span class="comment"> /// ("RandomNumberType", Integer::PRIME);</span></div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span> <span class="comment"> /// Integer x;</span></div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span> <span class="comment"> /// try { x.GenerateRandom(prng, params); }</span></div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="comment"> /// catch (RandomNumberNotFound&) { x = -1; }</span></div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="comment"> /// </pre></span></div><div class="line"><a name="l00484"></a><span class="lineno"><a class="line" href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb"> 484</a></span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb">GenerateRandom</a>(<a class="code" href="class_random_number_generator.html">RandomNumberGenerator</a> &rng, <span class="keyword">const</span> <a class="code" href="class_name_value_pairs.html">NameValuePairs</a> &params = <a class="code" href="cryptlib_8h.html#a04be65ada92ccb1e6aac0d94b4cc394b">g_nullNameValuePairs</a>)</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  {</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  <span class="keywordflow">if</span> (!GenerateRandomNoThrow(rng, params))</div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="keywordflow">throw</span> <a class="code" href="class_integer_1_1_random_number_not_found.html">RandomNumberNotFound</a>();</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"> /// \brief Set the n-th bit to value</span></div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="comment"> /// \details 0-based numbering.</span></div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="comment"></span> <span class="keywordtype">void</span> SetBit(<span class="keywordtype">size_t</span> n, <span class="keywordtype">bool</span> value=1);</div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="comment"></span></div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span> <span class="comment"> /// \brief Set the n-th byte to value</span></div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span> <span class="comment"> /// \details 0-based numbering.</span></div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="comment"></span> <span class="keywordtype">void</span> SetByte(<span class="keywordtype">size_t</span> n, byte value);</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span> <span class="comment"></span></div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <span class="comment"> /// \brief Reverse the Sign of the Integer</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span> <span class="comment"></span> <span class="keywordtype">void</span> Negate();</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="comment"></span></div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span> <span class="comment"> /// \brief Sets the Integer to positive</span></div><div class="line"><a name="l00502"></a><span class="lineno"><a class="line" href="class_integer.html#a8ba4496f4ae1392c3860d3bcbba586c1"> 502</a></span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_integer.html#a8ba4496f4ae1392c3860d3bcbba586c1">SetPositive</a>() {sign = POSITIVE;}</div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span> <span class="comment"></span></div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span> <span class="comment"> /// \brief Sets the Integer to negative</span></div><div class="line"><a name="l00505"></a><span class="lineno"><a class="line" href="class_integer.html#a860dd1318ef7089d774674f2100c8fb8"> 505</a></span> <span class="comment"></span> <span class="keywordtype">void</span> <a class="code" href="class_integer.html#a860dd1318ef7089d774674f2100c8fb8">SetNegative</a>() {<span class="keywordflow">if</span> (!!(*<span class="keyword">this</span>)) sign = NEGATIVE;}</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="comment"></span></div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="comment"> /// \brief Swaps this Integer with another Integer</span></div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="comment"></span> <span class="keywordtype">void</span> swap(<a class="code" href="class_integer.html">Integer</a> &a);<span class="comment"></span></div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> /// \name UNARY OPERATORS</span></div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="comment"></span><span class="comment"> /// \brief Negation</span></div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment"></span> <span class="keywordtype">bool</span> operator!() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="comment"> /// \brief Addition</span></div><div class="line"><a name="l00516"></a><span class="lineno"><a class="line" href="class_integer.html#a95274da93f81f1cd71a8868bba3e3b86"> 516</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a95274da93f81f1cd71a8868bba3e3b86">operator+</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> *<span class="keyword">this</span>;}<span class="comment"></span></div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <span class="comment"> /// \brief Subtraction</span></div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="integer_8h.html#a608b1434db86edad946fd1c20737c05e">operator-</a>() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span> <span class="comment"> /// \brief Pre-increment</span></div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator++();<span class="comment"></span></div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span> <span class="comment"> /// \brief Pre-decrement</span></div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a>& operator--();<span class="comment"></span></div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="comment"> /// \brief Post-increment</span></div><div class="line"><a name="l00524"></a><span class="lineno"><a class="line" href="class_integer.html#a1666444f09484e482b2f94dd263c7dc9"> 524</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a1666444f09484e482b2f94dd263c7dc9">operator++</a>(<span class="keywordtype">int</span>) {<a class="code" href="class_integer.html">Integer</a> temp = *<span class="keyword">this</span>; ++*<span class="keyword">this</span>; <span class="keywordflow">return</span> temp;}<span class="comment"></span></div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="comment"> /// \brief Post-decrement</span></div><div class="line"><a name="l00526"></a><span class="lineno"><a class="line" href="class_integer.html#a000120734ad8ba84af5c5ac7f5f84925"> 526</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a000120734ad8ba84af5c5ac7f5f84925">operator--</a>(<span class="keywordtype">int</span>) {<a class="code" href="class_integer.html">Integer</a> temp = *<span class="keyword">this</span>; --*<span class="keyword">this</span>; <span class="keywordflow">return</span> temp;}<span class="comment"></span></div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="comment"> /// \name BINARY OPERATORS</span></div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span> <span class="comment"></span><span class="comment"> /// \brief Perform signed comparison</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="comment"></span><span class="comment"> /// \param a the Integer to comapre</span></div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span> <span class="comment"></span><span class="comment"> /// \retval -1 if <tt>*this < a</tt></span></div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span> <span class="comment"></span><span class="comment"> /// \retval 0 if <tt>*this = a</tt></span></div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span> <span class="comment"></span><span class="comment"> /// \retval 1 if <tt>*this > a</tt></span></div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span> <span class="comment"></span> <span class="keywordtype">int</span> Compare(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& a) <span class="keyword">const</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"> /// \brief Addition</span></div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Plus(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="comment"> /// \brief Subtraction</span></div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Minus(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <span class="comment"> /// \brief Multiplication</span></div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Times(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span> <span class="comment"> /// \brief Division</span></div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> DividedBy(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span> <span class="comment"> /// \brief Remainder</span></div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Modulo(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span> <span class="comment"> /// \brief Division</span></div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> DividedBy(word b) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span> <span class="comment"> /// \brief Remainder</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span> <span class="comment"></span> word Modulo(word b) <span class="keyword">const</span>;</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span> <span class="comment"></span></div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span> <span class="comment"> /// \brief Bitwise AND</span></div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span> <span class="comment"> /// \param t the other Integer</span></div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="comment"> /// \returns the result of <tt>*this & t</tt></span></div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span> <span class="comment"> /// \details And() performs a bitwise AND on the operands. Missing bits are truncated</span></div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="comment"> /// at the most significant bit positions, so the result is as small as the</span></div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span> <span class="comment"> /// smaller of the operands.</span></div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> And(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) <span class="keyword">const</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"> /// \brief Bitwise OR</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span> <span class="comment"> /// \param t the other Integer</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="comment"> /// \returns the result of <tt>*this | t</tt></span></div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span> <span class="comment"> /// \details Or() performs a bitwise OR on the operands. Missing bits are shifted in</span></div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="comment"> /// at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span> <span class="comment"> /// larger of the operands.</span></div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Or(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) <span class="keyword">const</span>;</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span> <span class="comment"></span></div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span> <span class="comment"> /// \brief Bitwise XOR</span></div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span> <span class="comment"> /// \param t the other Integer</span></div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="comment"> /// \returns the result of <tt>*this ^ t</tt></span></div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span> <span class="comment"> /// \details Xor() performs a bitwise XOR on the operands. Missing bits are shifted in</span></div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span> <span class="comment"> /// at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span> <span class="comment"> /// larger of the operands.</span></div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span> <span class="comment"> /// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span> <span class="comment"> /// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span> <span class="comment"> /// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span> <span class="comment"> /// the operation.</span></div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span> <span class="comment"> /// \since Crypto++ 6.0</span></div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> Xor(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& t) <span class="keyword">const</span>;</div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span> <span class="comment"></span></div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span> <span class="comment"> /// \brief Right-shift</span></div><div class="line"><a name="l00596"></a><span class="lineno"><a class="line" href="class_integer.html#a590c29985d3edfdb9b5dab9f6d5ad3b1"> 596</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a590c29985d3edfdb9b5dab9f6d5ad3b1">operator>></a>(<span class="keywordtype">size_t</span> n)<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="class_integer.html">Integer</a>(*<span class="keyword">this</span>)>>=n;}<span class="comment"></span></div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="comment"> /// \brief Left-shift</span></div><div class="line"><a name="l00598"></a><span class="lineno"><a class="line" href="class_integer.html#aaf2d3f82da9d6d03b79984178170df07"> 598</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#aaf2d3f82da9d6d03b79984178170df07">operator<<</a>(<span class="keywordtype">size_t</span> n)<span class="keyword"> const </span>{<span class="keywordflow">return</span> <a class="code" href="class_integer.html">Integer</a>(*<span class="keyword">this</span>)<<=n;}<span class="comment"></span></div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span> <span class="comment"> /// \name OTHER ARITHMETIC FUNCTIONS</span></div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span> <span class="comment"></span><span class="comment"> /// \brief Retrieve the absolute value of this integer</span></div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> AbsoluteValue() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="comment"> /// \brief Add this integer to itself</span></div><div class="line"><a name="l00606"></a><span class="lineno"><a class="line" href="class_integer.html#a4d86bd0bc25c23b4c6a797a8eff3a41f"> 606</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a4d86bd0bc25c23b4c6a797a8eff3a41f">Doubled</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> Plus(*<span class="keyword">this</span>);}<span class="comment"></span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span> <span class="comment"> /// \brief Multiply this integer by itself</span></div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00609"></a><span class="lineno"><a class="line" href="class_integer.html#a7b5e639045868c5ac338f4180e1c7efa"> 609</a></span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> <a class="code" href="class_integer.html#a7b5e639045868c5ac338f4180e1c7efa">Squared</a>()<span class="keyword"> const </span>{<span class="keywordflow">return</span> Times(*<span class="keyword">this</span>);}<span class="comment"></span></div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span> <span class="comment"> /// \brief Extract square root</span></div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="comment"> /// \details if negative return 0, else return floor of square root</span></div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> SquareRoot() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span> <span class="comment"> /// \brief Determine whether this integer is a perfect square</span></div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span> <span class="comment"></span> <span class="keywordtype">bool</span> IsSquare() <span class="keyword">const</span>;</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span> <span class="comment"></span></div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span> <span class="comment"> /// \brief Determine if 1 or -1</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="comment"> /// \returns true if this integer is 1 or -1, false otherwise</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span> <span class="comment"></span> <span class="keywordtype">bool</span> IsUnit() <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span> <span class="comment"> /// \brief Calculate multiplicative inverse</span></div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span> <span class="comment"> /// \returns MultiplicativeInverse inverse if 1 or -1, otherwise return 0.</span></div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> MultiplicativeInverse() <span class="keyword">const</span>;</div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span> <span class="comment"></span></div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span> <span class="comment"> /// \brief Extended Division</span></div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span> <span class="comment"> /// \param r a reference for the remainder</span></div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span> <span class="comment"> /// \param q a reference for the quotient</span></div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span> <span class="comment"> /// \param a a reference to the dividend</span></div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span> <span class="comment"> /// \param d a reference to the divisor</span></div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span> <span class="comment"> /// \details Divide calculates r and q such that (a == d*q + r) && (0 <= r < abs(d)).</span></div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">void</span> CRYPTOPP_API Divide(<a class="code" href="class_integer.html">Integer</a> &r, <a class="code" href="class_integer.html">Integer</a> &q, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &d);</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span> <span class="comment"></span></div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span> <span class="comment"> /// \brief Extended Division</span></div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span> <span class="comment"> /// \param r a reference for the remainder</span></div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span> <span class="comment"> /// \param q a reference for the quotient</span></div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span> <span class="comment"> /// \param a a reference to the dividend</span></div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span> <span class="comment"> /// \param d a reference to the divisor</span></div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span> <span class="comment"> /// \details Divide calculates r and q such that (a == d*q + r) && (0 <= r < abs(d)).</span></div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span> <span class="comment"> /// This overload uses a faster division algorithm because the divisor is short.</span></div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">void</span> CRYPTOPP_API Divide(word &r, <a class="code" href="class_integer.html">Integer</a> &q, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, word d);</div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span> <span class="comment"></span></div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span> <span class="comment"> /// \brief Extended Division</span></div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span> <span class="comment"> /// \param r a reference for the remainder</span></div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span> <span class="comment"> /// \param q a reference for the quotient</span></div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span> <span class="comment"> /// \param a a reference to the dividend</span></div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment"> /// \param n a reference to the divisor</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span> <span class="comment"> /// \details DivideByPowerOf2 calculates r and q such that (a == d*q + r) && (0 <= r < abs(d)).</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span> <span class="comment"> /// It returns same result as Divide(r, q, a, Power2(n)), but faster.</span></div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span> <span class="comment"> /// This overload uses a faster division algorithm because the divisor is a power of 2.</span></div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span> <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">void</span> CRYPTOPP_API DivideByPowerOf2(<a class="code" href="class_integer.html">Integer</a> &r, <a class="code" href="class_integer.html">Integer</a> &q, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n);</div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span> <span class="comment"></span></div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span> <span class="comment"> /// \brief Calculate greatest common divisor</span></div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span> <span class="comment"> /// \param a a reference to the first number</span></div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span> <span class="comment"> /// \param n a reference to the secind number</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span> <span class="comment"> /// \returns the greatest common divisor <tt>a</tt> and <tt>n</tt>.</span></div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span> <span class="comment"></span> <span class="keyword">static</span> <a class="code" href="class_integer.html">Integer</a> CRYPTOPP_API Gcd(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &n);</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"> /// \brief Calculate multiplicative inverse</span></div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span> <span class="comment"> /// \param n a reference to the modulus</span></div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span> <span class="comment"> /// \returns an Integer <tt>*this % n</tt>.</span></div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span> <span class="comment"> /// \details InverseMod returns the multiplicative inverse of the Integer <tt>*this</tt></span></div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span> <span class="comment"> /// modulo the Integer <tt>n</tt>. If no Integer exists then Integer 0 is returned.</span></div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span> <span class="comment"></span> <a class="code" href="class_integer.html">Integer</a> InverseMod(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &n) <span class="keyword">const</span>;</div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span> <span class="comment"></span></div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span> <span class="comment"> /// \brief Calculate multiplicative inverse</span></div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span> <span class="comment"> /// \param n the modulus</span></div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span> <span class="comment"> /// \returns a word <tt>*this % n</tt>.</span></div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span> <span class="comment"> /// \details InverseMod returns the multiplicative inverse of the Integer <tt>*this</tt></span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span> <span class="comment"> /// modulo the word <tt>n</tt>. If no Integer exists then word 0 is returned.</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span> <span class="comment"> /// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span> <span class="comment"></span> word InverseMod(word n) <span class="keyword">const</span>;<span class="comment"></span></div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span> <span class="comment"> /// \name INPUT/OUTPUT</span></div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span> <span class="comment"></span><span class="comment"> //@{</span></div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span> <span class="comment"></span><span class="comment"> /// \brief Extraction operator</span></div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span> <span class="comment"></span><span class="comment"> /// \param in a reference to a std::istream</span></div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span> <span class="comment"></span><span class="comment"> /// \param a a reference to an Integer</span></div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span> <span class="comment"></span><span class="comment"> /// \returns a reference to a std::istream reference</span></div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span> <span class="comment"></span> <span class="keyword">friend</span> CRYPTOPP_DLL std::istream& CRYPTOPP_API operator>>(std::istream& in, <a class="code" href="class_integer.html">Integer</a> &a);</div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span> <span class="comment"></span></div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span> <span class="comment"> /// \brief Insertion operator</span></div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span> <span class="comment"> /// \param out a reference to a std::ostream</span></div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span> <span class="comment"> /// \param a a constant reference to an Integer</span></div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span> <span class="comment"> /// \returns a reference to a std::ostream reference</span></div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span> <span class="comment"> /// \details The output integer responds to std::hex, std::oct, std::hex, std::upper and</span></div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span> <span class="comment"> /// std::lower. The output includes the suffix \a \b h (for hex), \a \b . (\a \b dot, for dec)</span></div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span> <span class="comment"> /// and \a \b o (for octal). There is currently no way to suppress the suffix.</span></div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span> <span class="comment"> /// \details If you want to print an Integer without the suffix or using an arbitrary base, then</span></div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span> <span class="comment"> /// use IntToString<Integer>().</span></div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span> <span class="comment"> /// \sa IntToString<Integer></span></div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span> <span class="comment"></span> <span class="keyword">friend</span> CRYPTOPP_DLL std::ostream& CRYPTOPP_API operator<<(std::ostream& out, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a);<span class="comment"></span></div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span> <span class="comment"> //@}</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span> <span class="comment"></span><span class="comment"></span></div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span> <span class="comment"> /// \brief Modular multiplication</span></div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span> <span class="comment"> /// \param x a reference to the first term</span></div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span> <span class="comment"> /// \param y a reference to the second term</span></div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span> <span class="comment"> /// \param m a reference to the modulus</span></div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span> <span class="comment"> /// \returns an Integer <tt>(a * b) % m</tt>.</span></div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span> <span class="comment"></span> CRYPTOPP_DLL <span class="keyword">friend</span> <a class="code" href="class_integer.html">Integer</a> CRYPTOPP_API a_times_b_mod_c(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &x, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& y, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& m);<span class="comment"></span></div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span> <span class="comment"> /// \brief Modular exponentiation</span></div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span> <span class="comment"> /// \param x a reference to the base</span></div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span> <span class="comment"> /// \param e a reference to the exponent</span></div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span> <span class="comment"> /// \param m a reference to the modulus</span></div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span> <span class="comment"> /// \returns an Integer <tt>(a ^ b) % m</tt>.</span></div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span> <span class="comment"></span> CRYPTOPP_DLL <span class="keyword">friend</span> <a class="code" href="class_integer.html">Integer</a> CRYPTOPP_API a_exp_b_mod_c(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &x, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& e, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a>& m);</div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span> </div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span> <span class="keyword">protected</span>:</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>  <span class="comment">// http://github.com/weidai11/cryptopp/issues/602</span></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <a class="code" href="class_integer.html">Integer</a> InverseModNext(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &n) <span class="keyword">const</span>;</div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span> </div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span> <span class="keyword">private</span>:</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span> </div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <a class="code" href="class_integer.html">Integer</a>(word value, <span class="keywordtype">size_t</span> length);</div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  <span class="keywordtype">int</span> PositiveCompare(<span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &t) <span class="keyword">const</span>;</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span> </div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  <a class="code" href="class_sec_block.html">IntegerSecBlock</a> reg;</div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  Sign sign;</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="preprocessor">#ifndef CRYPTOPP_DOXYGEN_PROCESSING</span></div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="class_modular_arithmetic.html">ModularArithmetic</a>;</div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="class_montgomery_representation.html">MontgomeryRepresentation</a>;</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  <span class="keyword">friend</span> <span class="keyword">class </span>HalfMontgomeryRepresentation;</div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span> </div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  <span class="keyword">friend</span> <span class="keywordtype">void</span> PositiveAdd(<a class="code" href="class_integer.html">Integer</a> &sum, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b);</div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="keyword">friend</span> <span class="keywordtype">void</span> PositiveSubtract(<a class="code" href="class_integer.html">Integer</a> &diff, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b);</div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="keyword">friend</span> <span class="keywordtype">void</span> PositiveMultiply(<a class="code" href="class_integer.html">Integer</a> &product, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &a, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &b);</div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  <span class="keyword">friend</span> <span class="keywordtype">void</span> PositiveDivide(<a class="code" href="class_integer.html">Integer</a> &remainder, <a class="code" href="class_integer.html">Integer</a> &quotient, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &dividend, <span class="keyword">const</span> <a class="code" href="class_integer.html">Integer</a> &divisor);</div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span> <span class="preprocessor">#endif</span></div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span> };</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span> <span class="comment"></span></div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00733"></a><span class="lineno"><a class="line" href="integer_8h.html#ade08b3d167d85c38da8c43cfa66a640f"> 733</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#ade08b3d167d85c38da8c43cfa66a640f">operator==</a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)==0;}<span class="comment"></span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00735"></a><span class="lineno"><a class="line" href="integer_8h.html#ae999da0bcfa2f2d91a7acbcec22533dd"> 735</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#ae999da0bcfa2f2d91a7acbcec22533dd">operator!=</a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)!=0;}<span class="comment"></span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00737"></a><span class="lineno"><a class="line" href="integer_8h.html#ae3e6987d592852bb4b9e5096b4c90c64"> 737</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#ae3e6987d592852bb4b9e5096b4c90c64">operator> </a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)> 0;}<span class="comment"></span></div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00739"></a><span class="lineno"><a class="line" href="integer_8h.html#a7b0ae44df5d3c10c3aab96cbe05dbba5"> 739</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#a7b0ae44df5d3c10c3aab96cbe05dbba5">operator>=</a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)>=0;}<span class="comment"></span></div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00741"></a><span class="lineno"><a class="line" href="integer_8h.html#a5a89747db6d098fb6e8c57b559a7a215"> 741</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#a5a89747db6d098fb6e8c57b559a7a215">operator< </a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)< 0;}<span class="comment"></span></div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span> <span class="comment">/// \brief Comparison</span></div><div class="line"><a name="l00743"></a><span class="lineno"><a class="line" href="integer_8h.html#a98986253088fef35d42e47af391d30d7"> 743</a></span> <span class="comment"></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="integer_8h.html#a98986253088fef35d42e47af391d30d7">operator<=</a>(<span class="keyword">const</span> CryptoPP::Integer& a, <span class="keyword">const</span> CryptoPP::Integer& b) {<span class="keywordflow">return</span> a.Compare(b)<=0;}<span class="comment"></span></div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span> <span class="comment">/// \brief Addition</span></div><div class="line"><a name="l00745"></a><span class="lineno"><a class="line" href="integer_8h.html#afbec1fd1f7b419edb560dc4ee919da7e"> 745</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#afbec1fd1f7b419edb560dc4ee919da7e">operator+</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Plus(b);}<span class="comment"></span></div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span> <span class="comment">/// \brief Subtraction</span></div><div class="line"><a name="l00747"></a><span class="lineno"><a class="line" href="integer_8h.html#a608b1434db86edad946fd1c20737c05e"> 747</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a608b1434db86edad946fd1c20737c05e">operator-</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Minus(b);}<span class="comment"></span></div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span> <span class="comment">/// \brief Multiplication</span></div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span> <span class="comment">/// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00750"></a><span class="lineno"><a class="line" href="integer_8h.html#a83bd503d3921cad11bc71203754c2bef"> 750</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a83bd503d3921cad11bc71203754c2bef">operator*</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Times(b);}<span class="comment"></span></div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span> <span class="comment">/// \brief Division</span></div><div class="line"><a name="l00752"></a><span class="lineno"><a class="line" href="integer_8h.html#ac429f380c60784a2a84dbf8395e91763"> 752</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#ac429f380c60784a2a84dbf8395e91763">operator/</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.DividedBy(b);}<span class="comment"></span></div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span> <span class="comment">/// \brief Remainder</span></div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="comment">/// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00755"></a><span class="lineno"><a class="line" href="integer_8h.html#a44f26775ef8241769ee4f83607a77747"> 755</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a44f26775ef8241769ee4f83607a77747">operator%</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Modulo(b);}<span class="comment"></span></div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span> <span class="comment">/// \brief Division</span></div><div class="line"><a name="l00757"></a><span class="lineno"><a class="line" href="integer_8h.html#a251267f77c4aa88eef85bb8429ac6c4d"> 757</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#ac429f380c60784a2a84dbf8395e91763">operator/</a>(<span class="keyword">const</span> CryptoPP::Integer &a, CryptoPP::word b) {<span class="keywordflow">return</span> a.DividedBy(b);}<span class="comment"></span></div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span> <span class="comment">/// \brief Remainder</span></div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span> <span class="comment">/// \sa a_times_b_mod_c() and a_exp_b_mod_c()</span></div><div class="line"><a name="l00760"></a><span class="lineno"><a class="line" href="integer_8h.html#a44b21d08ddd15c5c053ed4e1e487ddc2"> 760</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::word <a class="code" href="integer_8h.html#a44f26775ef8241769ee4f83607a77747">operator%</a>(<span class="keyword">const</span> CryptoPP::Integer &a, CryptoPP::word b) {<span class="keywordflow">return</span> a.Modulo(b);}</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="comment">/// \brief Bitwise AND</span></div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span> <span class="comment">/// \param a the first Integer</span></div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span> <span class="comment">/// \param b the second Integer</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span> <span class="comment">/// \returns the result of a & b</span></div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span> <span class="comment">/// \details operator&() performs a bitwise AND on the operands. Missing bits are truncated</span></div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span> <span class="comment">/// at the most significant bit positions, so the result is as small as the</span></div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span> <span class="comment">/// smaller of the operands.</span></div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span> <span class="comment">/// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span> <span class="comment">/// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span> <span class="comment">/// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="comment">/// the operation.</span></div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment">/// \since Crypto++ 6.0</span></div><div class="line"><a name="l00774"></a><span class="lineno"><a class="line" href="integer_8h.html#a07db41916eef99fb5dbd6de5c488ea01"> 774</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a07db41916eef99fb5dbd6de5c488ea01">operator&</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.And(b);}</div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span> <span class="comment"></span></div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span> <span class="comment">/// \brief Bitwise OR</span></div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span> <span class="comment">/// \param a the first Integer</span></div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span> <span class="comment">/// \param b the second Integer</span></div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span> <span class="comment">/// \returns the result of a | b</span></div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span> <span class="comment">/// \details operator|() performs a bitwise OR on the operands. Missing bits are shifted in</span></div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span> <span class="comment">/// at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span> <span class="comment">/// larger of the operands.</span></div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span> <span class="comment">/// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span> <span class="comment">/// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span> <span class="comment">/// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span> <span class="comment">/// the operation.</span></div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span> <span class="comment">/// \since Crypto++ 6.0</span></div><div class="line"><a name="l00788"></a><span class="lineno"><a class="line" href="integer_8h.html#a77bd1e522f3daa33643e6981017a31fb"> 788</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a77bd1e522f3daa33643e6981017a31fb">operator|</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Or(b);}</div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span> <span class="comment"></span></div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span> <span class="comment">/// \brief Bitwise XOR</span></div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span> <span class="comment">/// \param a the first Integer</span></div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span> <span class="comment">/// \param b the second Integer</span></div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span> <span class="comment">/// \returns the result of a ^ b</span></div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span> <span class="comment">/// \details operator^() performs a bitwise XOR on the operands. Missing bits are shifted</span></div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span> <span class="comment">/// in at the most significant bit positions, so the result is as large as the</span></div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span> <span class="comment">/// larger of the operands.</span></div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span> <span class="comment">/// \details Internally, Crypto++ uses a sign-magnitude representation. The library</span></div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span> <span class="comment">/// does not attempt to interpret bits, and the result is always POSITIVE. If needed,</span></div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span> <span class="comment">/// the integer should be converted to a 2's compliment representation before performing</span></div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span> <span class="comment">/// the operation.</span></div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span> <span class="comment">/// \since Crypto++ 6.0</span></div><div class="line"><a name="l00802"></a><span class="lineno"><a class="line" href="integer_8h.html#a64be1a6a08bd3fa60eac799b0c3f43c2"> 802</a></span> <span class="comment"></span><span class="keyword">inline</span> CryptoPP::Integer <a class="code" href="integer_8h.html#a64be1a6a08bd3fa60eac799b0c3f43c2">operator^</a>(<span class="keyword">const</span> CryptoPP::Integer &a, <span class="keyword">const</span> CryptoPP::Integer &b) {<span class="keywordflow">return</span> a.Xor(b);}</div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span> </div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span> NAMESPACE_END</div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span> </div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span> <span class="preprocessor">#ifndef __BORLANDC__</span></div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span> NAMESPACE_BEGIN(<a class="code" href="namespacestd.html">std</a>)</div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> swap(CryptoPP::Integer &a, CryptoPP::Integer &b)</div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span> {</div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  a.swap(b);</div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span> }</div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span> NAMESPACE_END</div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span> <span class="preprocessor">#endif</span></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="preprocessor">#endif</span></div><div class="ttc" id="class_exception_html"><div class="ttname"><a href="class_exception.html">Exception</a></div><div class="ttdoc">Base class for all exceptions thrown by the library. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00155">cryptlib.h:155</a></div></div>
<div class="ttc" id="class_a_s_n1_object_html_a10e40187a6ba048dfc8a2c8ca5c6c2ec"><div class="ttname"><a href="class_a_s_n1_object.html#a10e40187a6ba048dfc8a2c8ca5c6c2ec">ASN1Object::DEREncode</a></div><div class="ttdeci">virtual void DEREncode(BufferedTransformation &bt) const =0</div><div class="ttdoc">Encode this object into a BufferedTransformation. </div></div>
<div class="ttc" id="class_integer_html_a860dd1318ef7089d774674f2100c8fb8"><div class="ttname"><a href="class_integer.html#a860dd1318ef7089d774674f2100c8fb8">Integer::SetNegative</a></div><div class="ttdeci">void SetNegative()</div><div class="ttdoc">Sets the Integer to negative. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00505">integer.h:505</a></div></div>
<div class="ttc" id="class_integer_html_a5364029d13bf6d21e7b578127160dbed"><div class="ttname"><a href="class_integer.html#a5364029d13bf6d21e7b578127160dbed">Integer::NotZero</a></div><div class="ttdeci">bool NotZero() const</div><div class="ttdoc">Determines if the Integer is non-0. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00333">integer.h:333</a></div></div>
<div class="ttc" id="integer_8h_html_a83bd503d3921cad11bc71203754c2bef"><div class="ttname"><a href="integer_8h.html#a83bd503d3921cad11bc71203754c2bef">operator*</a></div><div class="ttdeci">inline ::Integer operator*(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Multiplication. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00750">integer.h:750</a></div></div>
<div class="ttc" id="class_integer_html_a6fcad58a76f3cedc4134a18d56ebb808"><div class="ttname"><a href="class_integer.html#a6fcad58a76f3cedc4134a18d56ebb808">Integer::operator/=</a></div><div class="ttdeci">Integer & operator/=(word t)</div><div class="ttdoc">Division Assignment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00372">integer.h:372</a></div></div>
<div class="ttc" id="class_integer_html_a000120734ad8ba84af5c5ac7f5f84925"><div class="ttname"><a href="class_integer.html#a000120734ad8ba84af5c5ac7f5f84925">Integer::operator--</a></div><div class="ttdeci">Integer operator--(int)</div><div class="ttdoc">Post-decrement. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00526">integer.h:526</a></div></div>
<div class="ttc" id="cryptlib_8h_html_aaeb92d42f5a6e27b8ba19f18d69d142b"><div class="ttname"><a href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142b">ByteOrder</a></div><div class="ttdeci">ByteOrder</div><div class="ttdoc">Provides the byte ordering. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00140">cryptlib.h:140</a></div></div>
<div class="ttc" id="class_integer_html_aa9712040ccab541e30c00e0f3ae39926ab4fe86ca57cc3668213b99032ca274df"><div class="ttname"><a href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926ab4fe86ca57cc3668213b99032ca274df">Integer::UNSIGNED</a></div><div class="ttdoc">an unsigned value </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00085">integer.h:85</a></div></div>
<div class="ttc" id="class_integer_html_a8ba4496f4ae1392c3860d3bcbba586c1"><div class="ttname"><a href="class_integer.html#a8ba4496f4ae1392c3860d3bcbba586c1">Integer::SetPositive</a></div><div class="ttdeci">void SetPositive()</div><div class="ttdoc">Sets the Integer to positive. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00502">integer.h:502</a></div></div>
<div class="ttc" id="integer_8h_html_a44f26775ef8241769ee4f83607a77747"><div class="ttname"><a href="integer_8h.html#a44f26775ef8241769ee4f83607a77747">operator%</a></div><div class="ttdeci">inline ::Integer operator%(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Remainder. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00755">integer.h:755</a></div></div>
<div class="ttc" id="class_sec_block_html"><div class="ttname"><a href="class_sec_block.html">SecBlock</a></div><div class="ttdoc">Secure memory block with allocator and cleanup. </div><div class="ttdef"><b>Definition:</b> <a href="secblock_8h_source.html#l00454">secblock.h:454</a></div></div>
<div class="ttc" id="cryptlib_8h_html"><div class="ttname"><a href="cryptlib_8h.html">cryptlib.h</a></div><div class="ttdoc">Abstract base classes that provide a uniform interface to this library. </div></div>
<div class="ttc" id="class_integer_html_aa9712040ccab541e30c00e0f3ae39926"><div class="ttname"><a href="class_integer.html#aa9712040ccab541e30c00e0f3ae39926">Integer::Signedness</a></div><div class="ttdeci">Signedness</div><div class="ttdoc">Used when importing and exporting integers. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00083">integer.h:83</a></div></div>
<div class="ttc" id="class_integer_html_ad767ae81c89be3804da8785e132d2d1f"><div class="ttname"><a href="class_integer.html#ad767ae81c89be3804da8785e132d2d1f">Integer::IsNegative</a></div><div class="ttdeci">bool IsNegative() const</div><div class="ttdoc">Determines if the Integer is negative. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00336">integer.h:336</a></div></div>
<div class="ttc" id="class_modular_arithmetic_html"><div class="ttname"><a href="class_modular_arithmetic.html">ModularArithmetic</a></div><div class="ttdoc">Ring of congruence classes modulo n. </div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00038">modarith.h:38</a></div></div>
<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdoc">STL namespace. </div></div>
<div class="ttc" id="class_random_number_generator_html"><div class="ttname"><a href="class_random_number_generator.html">RandomNumberGenerator</a></div><div class="ttdoc">Interface for random number generators. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01330">cryptlib.h:1330</a></div></div>
<div class="ttc" id="stdcpp_8h_html"><div class="ttname"><a href="stdcpp_8h.html">stdcpp.h</a></div><div class="ttdoc">Common C++ header files. </div></div>
<div class="ttc" id="class_integer_html_a0d9a427fe64a454b11b24fe61c10dbeb"><div class="ttname"><a href="class_integer.html#a0d9a427fe64a454b11b24fe61c10dbeb">Integer::GenerateRandom</a></div><div class="ttdeci">void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &params=g_nullNameValuePairs)</div><div class="ttdoc">Generate a random number. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00484">integer.h:484</a></div></div>
<div class="ttc" id="class_buffered_transformation_html"><div class="ttname"><a href="class_buffered_transformation.html">BufferedTransformation</a></div><div class="ttdoc">Interface for buffered transformations. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l01545">cryptlib.h:1545</a></div></div>
<div class="ttc" id="class_integer_html_a13ddbfd8e9729932c2a99b0dff530978"><div class="ttname"><a href="class_integer.html#a13ddbfd8e9729932c2a99b0dff530978">Integer::IsPositive</a></div><div class="ttdeci">bool IsPositive() const</div><div class="ttdoc">Determines if the Integer is positive. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00342">integer.h:342</a></div></div>
<div class="ttc" id="class_integer_html_a880ab53116f2b9f527489d86ee806896"><div class="ttname"><a href="class_integer.html#a880ab53116f2b9f527489d86ee806896">Integer::NotNegative</a></div><div class="ttdeci">bool NotNegative() const</div><div class="ttdoc">Determines if the Integer is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00339">integer.h:339</a></div></div>
<div class="ttc" id="integer_8h_html_ade08b3d167d85c38da8c43cfa66a640f"><div class="ttname"><a href="integer_8h.html#ade08b3d167d85c38da8c43cfa66a640f">operator==</a></div><div class="ttdeci">bool operator==(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00733">integer.h:733</a></div></div>
<div class="ttc" id="integer_8h_html_afbec1fd1f7b419edb560dc4ee919da7e"><div class="ttname"><a href="integer_8h.html#afbec1fd1f7b419edb560dc4ee919da7e">operator+</a></div><div class="ttdeci">inline ::Integer operator+(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Addition. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00745">integer.h:745</a></div></div>
<div class="ttc" id="class_integer_html_ae0d4d9975fb6ab7667aab6f7ab8612d2"><div class="ttname"><a href="class_integer.html#ae0d4d9975fb6ab7667aab6f7ab8612d2">Integer::Sign</a></div><div class="ttdeci">Sign</div><div class="ttdoc">Used internally to represent the integer. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00073">integer.h:73</a></div></div>
<div class="ttc" id="secblock_8h_html"><div class="ttname"><a href="secblock_8h.html">secblock.h</a></div><div class="ttdoc">Classes and functions for secure memory allocations. </div></div>
<div class="ttc" id="class_integer_html_a80e968a9c7afc4979fe2148170ec7458"><div class="ttname"><a href="class_integer.html#a80e968a9c7afc4979fe2148170ec7458">Integer::operator/=</a></div><div class="ttdeci">Integer & operator/=(const Integer &t)</div><div class="ttdoc">Division Assignment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00367">integer.h:367</a></div></div>
<div class="ttc" id="integer_8h_html_a608b1434db86edad946fd1c20737c05e"><div class="ttname"><a href="integer_8h.html#a608b1434db86edad946fd1c20737c05e">operator-</a></div><div class="ttdeci">inline ::Integer operator-(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Subtraction. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00747">integer.h:747</a></div></div>
<div class="ttc" id="class_integer_html_a9b4088ac01abf76b9ba60060abccb7a3ad9b396a7ba736a4ca02db0125cc8c6a4"><div class="ttname"><a href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3ad9b396a7ba736a4ca02db0125cc8c6a4">Integer::ANY</a></div><div class="ttdoc">a number with no special properties </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00093">integer.h:93</a></div></div>
<div class="ttc" id="integer_8h_html_ae999da0bcfa2f2d91a7acbcec22533dd"><div class="ttname"><a href="integer_8h.html#ae999da0bcfa2f2d91a7acbcec22533dd">operator!=</a></div><div class="ttdeci">bool operator!=(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00735">integer.h:735</a></div></div>
<div class="ttc" id="integer_8h_html_a98986253088fef35d42e47af391d30d7"><div class="ttname"><a href="integer_8h.html#a98986253088fef35d42e47af391d30d7">operator<=</a></div><div class="ttdeci">bool operator<=(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00743">integer.h:743</a></div></div>
<div class="ttc" id="class_a_s_n1_object_html_a430af8c994bc78d996067247fa5a0770"><div class="ttname"><a href="class_a_s_n1_object.html#a430af8c994bc78d996067247fa5a0770">ASN1Object::BERDecode</a></div><div class="ttdeci">virtual void BERDecode(BufferedTransformation &bt)=0</div><div class="ttdoc">Decode this object from a BufferedTransformation. </div></div>
<div class="ttc" id="class_integer_html_acca1f2de6c0bfa91c49950daf681b678"><div class="ttname"><a href="class_integer.html#acca1f2de6c0bfa91c49950daf681b678">Integer::IsZero</a></div><div class="ttdeci">bool IsZero() const</div><div class="ttdoc">Determines if the Integer is 0. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00330">integer.h:330</a></div></div>
<div class="ttc" id="class_integer_1_1_open_p_g_p_decode_err_html"><div class="ttname"><a href="class_integer_1_1_open_p_g_p_decode_err.html">Integer::OpenPGPDecodeErr</a></div><div class="ttdoc">Exception thrown when an error is encountered decoding an OpenPGP integer. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00282">integer.h:282</a></div></div>
<div class="ttc" id="class_a_s_n1_object_html"><div class="ttname"><a href="class_a_s_n1_object.html">ASN1Object</a></div><div class="ttdoc">Interface for encoding and decoding ASN1 objects. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l03112">cryptlib.h:3112</a></div></div>
<div class="ttc" id="struct_initialize_integer_html"><div class="ttname"><a href="struct_initialize_integer.html">InitializeInteger</a></div><div class="ttdoc">Performs static initialization of the Integer class. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00029">integer.h:29</a></div></div>
<div class="ttc" id="class_integer_html"><div class="ttname"><a href="class_integer.html">Integer</a></div><div class="ttdoc">Multiple precision integer with arithmetic operations. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00049">integer.h:49</a></div></div>
<div class="ttc" id="integer_8h_html_a07db41916eef99fb5dbd6de5c488ea01"><div class="ttname"><a href="integer_8h.html#a07db41916eef99fb5dbd6de5c488ea01">operator &</a></div><div class="ttdeci">inline ::Integer operator &(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Bitwise AND. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00774">integer.h:774</a></div></div>
<div class="ttc" id="class_integer_html_a9b4088ac01abf76b9ba60060abccb7a3"><div class="ttname"><a href="class_integer.html#a9b4088ac01abf76b9ba60060abccb7a3">Integer::RandomNumberType</a></div><div class="ttdeci">RandomNumberType</div><div class="ttdoc">Properties of a random integer. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00091">integer.h:91</a></div></div>
<div class="ttc" id="class_integer_html_afedf9af097a3417d8bd3742ec53f9593"><div class="ttname"><a href="class_integer.html#afedf9af097a3417d8bd3742ec53f9593">Integer::IsEven</a></div><div class="ttdeci">bool IsEven() const</div><div class="ttdoc">Determines if the Integer is even parity. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00348">integer.h:348</a></div></div>
<div class="ttc" id="cryptlib_8h_html_aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57"><div class="ttname"><a href="cryptlib_8h.html#aaeb92d42f5a6e27b8ba19f18d69d142baf0c3bb6c718cc7ff0bffef4e8f178c57">BIG_ENDIAN_ORDER</a></div><div class="ttdoc">byte order is big-endian </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00144">cryptlib.h:144</a></div></div>
<div class="ttc" id="class_integer_html_adb1320901d7bbf1ee52bf27bacdfb9df"><div class="ttname"><a href="class_integer.html#adb1320901d7bbf1ee52bf27bacdfb9df">Integer::operator*=</a></div><div class="ttdeci">Integer & operator*=(const Integer &t)</div><div class="ttdoc">Multiplication Assignment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00365">integer.h:365</a></div></div>
<div class="ttc" id="integer_8h_html_ae3e6987d592852bb4b9e5096b4c90c64"><div class="ttname"><a href="integer_8h.html#ae3e6987d592852bb4b9e5096b4c90c64">operator></a></div><div class="ttdeci">bool operator>(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00737">integer.h:737</a></div></div>
<div class="ttc" id="integer_8h_html_a64be1a6a08bd3fa60eac799b0c3f43c2"><div class="ttname"><a href="integer_8h.html#a64be1a6a08bd3fa60eac799b0c3f43c2">operator^</a></div><div class="ttdeci">inline ::Integer operator^(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Bitwise XOR. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00802">integer.h:802</a></div></div>
<div class="ttc" id="class_integer_html_a1666444f09484e482b2f94dd263c7dc9"><div class="ttname"><a href="class_integer.html#a1666444f09484e482b2f94dd263c7dc9">Integer::operator++</a></div><div class="ttdeci">Integer operator++(int)</div><div class="ttdoc">Post-increment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00524">integer.h:524</a></div></div>
<div class="ttc" id="class_integer_1_1_divide_by_zero_html"><div class="ttname"><a href="class_integer_1_1_divide_by_zero.html">Integer::DivideByZero</a></div><div class="ttdoc">Exception thrown when division by 0 is encountered. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00055">integer.h:55</a></div></div>
<div class="ttc" id="cryptlib_8h_html_a04be65ada92ccb1e6aac0d94b4cc394b"><div class="ttname"><a href="cryptlib_8h.html#a04be65ada92ccb1e6aac0d94b4cc394b">g_nullNameValuePairs</a></div><div class="ttdeci">const NameValuePairs g_nullNameValuePairs</div><div class="ttdoc">An empty set of name-value pairs. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00494">cryptlib.h:494</a></div></div>
<div class="ttc" id="class_integer_html_a7b5e639045868c5ac338f4180e1c7efa"><div class="ttname"><a href="class_integer.html#a7b5e639045868c5ac338f4180e1c7efa">Integer::Squared</a></div><div class="ttdeci">Integer Squared() const</div><div class="ttdoc">Multiply this integer by itself. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00609">integer.h:609</a></div></div>
<div class="ttc" id="class_integer_1_1_random_number_not_found_html"><div class="ttname"><a href="class_integer_1_1_random_number_not_found.html">Integer::RandomNumberNotFound</a></div><div class="ttdoc">Exception thrown when a random number cannot be found that satisfies the condition. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00063">integer.h:63</a></div></div>
<div class="ttc" id="class_montgomery_representation_html"><div class="ttname"><a href="class_montgomery_representation.html">MontgomeryRepresentation</a></div><div class="ttdoc">Performs modular arithmetic in Montgomery representation for increased speed. </div><div class="ttdef"><b>Definition:</b> <a href="modarith_8h_source.html#l00274">modarith.h:274</a></div></div>
<div class="ttc" id="class_integer_html_aaf2d3f82da9d6d03b79984178170df07"><div class="ttname"><a href="class_integer.html#aaf2d3f82da9d6d03b79984178170df07">Integer::operator<<</a></div><div class="ttdeci">Integer operator<<(size_t n) const</div><div class="ttdoc">Left-shift. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00598">integer.h:598</a></div></div>
<div class="ttc" id="class_integer_html_a4d86bd0bc25c23b4c6a797a8eff3a41f"><div class="ttname"><a href="class_integer.html#a4d86bd0bc25c23b4c6a797a8eff3a41f">Integer::Doubled</a></div><div class="ttdeci">Integer Doubled() const</div><div class="ttdoc">Add this integer to itself. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00606">integer.h:606</a></div></div>
<div class="ttc" id="class_integer_html_a590c29985d3edfdb9b5dab9f6d5ad3b1"><div class="ttname"><a href="class_integer.html#a590c29985d3edfdb9b5dab9f6d5ad3b1">Integer::operator>></a></div><div class="ttdeci">Integer operator>>(size_t n) const</div><div class="ttdoc">Right-shift. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00596">integer.h:596</a></div></div>
<div class="ttc" id="class_integer_html_a82c26b308640b25c35213da4c315f3ce"><div class="ttname"><a href="class_integer.html#a82c26b308640b25c35213da4c315f3ce">Integer::NotPositive</a></div><div class="ttdeci">bool NotPositive() const</div><div class="ttdoc">Determines if the Integer is non-positive. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00345">integer.h:345</a></div></div>
<div class="ttc" id="class_integer_html_a95274da93f81f1cd71a8868bba3e3b86"><div class="ttname"><a href="class_integer.html#a95274da93f81f1cd71a8868bba3e3b86">Integer::operator+</a></div><div class="ttdeci">Integer operator+() const</div><div class="ttdoc">Addition. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00516">integer.h:516</a></div></div>
<div class="ttc" id="namespace_crypto_p_p_html"><div class="ttname"><a href="namespace_crypto_p_p.html">CryptoPP</a></div><div class="ttdoc">Crypto++ library namespace. </div></div>
<div class="ttc" id="class_integer_html_a3874b6ac8979328ce532eebc8b275eab"><div class="ttname"><a href="class_integer.html#a3874b6ac8979328ce532eebc8b275eab">Integer::operator%=</a></div><div class="ttdeci">Integer & operator%=(word t)</div><div class="ttdoc">Remainder Assignment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00375">integer.h:375</a></div></div>
<div class="ttc" id="misc_8h_html_a9a2ceb73851e757cb436cdbaa0242219"><div class="ttname"><a href="misc_8h.html#a9a2ceb73851e757cb436cdbaa0242219">GetByte</a></div><div class="ttdeci">unsigned int GetByte(ByteOrder order, T value, unsigned int index)</div><div class="ttdoc">Gets a byte from a value. </div><div class="ttdef"><b>Definition:</b> <a href="misc_8h_source.html#l01827">misc.h:1827</a></div></div>
<div class="ttc" id="integer_8h_html_a5a89747db6d098fb6e8c57b559a7a215"><div class="ttname"><a href="integer_8h.html#a5a89747db6d098fb6e8c57b559a7a215">operator<</a></div><div class="ttdeci">bool operator<(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00741">integer.h:741</a></div></div>
<div class="ttc" id="class_integer_html_a468142f7860854f6e97910af4eb2b220"><div class="ttname"><a href="class_integer.html#a468142f7860854f6e97910af4eb2b220">Integer::operator%=</a></div><div class="ttdeci">Integer & operator%=(const Integer &t)</div><div class="ttdoc">Remainder Assignment. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00370">integer.h:370</a></div></div>
<div class="ttc" id="integer_8h_html_a77bd1e522f3daa33643e6981017a31fb"><div class="ttname"><a href="integer_8h.html#a77bd1e522f3daa33643e6981017a31fb">operator|</a></div><div class="ttdeci">inline ::Integer operator|(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Bitwise OR. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00788">integer.h:788</a></div></div>
<div class="ttc" id="class_integer_html_aed4bb7208a18b986ef3e1a7d92e06d1d"><div class="ttname"><a href="class_integer.html#aed4bb7208a18b986ef3e1a7d92e06d1d">Integer::IsOdd</a></div><div class="ttdeci">bool IsOdd() const</div><div class="ttdoc">Determines if the Integer is odd parity. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00351">integer.h:351</a></div></div>
<div class="ttc" id="integer_8h_html_a7b0ae44df5d3c10c3aab96cbe05dbba5"><div class="ttname"><a href="integer_8h.html#a7b0ae44df5d3c10c3aab96cbe05dbba5">operator>=</a></div><div class="ttdeci">bool operator>=(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Comparison. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00739">integer.h:739</a></div></div>
<div class="ttc" id="integer_8h_html_ac429f380c60784a2a84dbf8395e91763"><div class="ttname"><a href="integer_8h.html#ac429f380c60784a2a84dbf8395e91763">operator/</a></div><div class="ttdeci">inline ::Integer operator/(const ::Integer &a, const ::Integer &b)</div><div class="ttdoc">Division. </div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00752">integer.h:752</a></div></div>
<div class="ttc" id="class_name_value_pairs_html"><div class="ttname"><a href="class_name_value_pairs.html">NameValuePairs</a></div><div class="ttdoc">Interface for retrieving values given their names. </div><div class="ttdef"><b>Definition:</b> <a href="cryptlib_8h_source.html#l00290">cryptlib.h:290</a></div></div>
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