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<div id="projectname">post quantum cryptography
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<div id="projectbrief">Highly optimized implementation of the NTRUEncrypt algorithm</div>
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<div class="title">ntru_poly.c</div> </div>
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<a href="ntru__poly_8c.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * Copyright (C) 2014 FH Bielefeld</span></div>
|
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
|
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * This file is part of a FH Bielefeld project.</span></div>
|
||
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
|
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
|
||
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * modify it under the terms of the GNU Lesser General Public</span></div>
|
||
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * License as published by the Free Software Foundation; either</span></div>
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||
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * version 2.1 of the License, or (at your option) any later version.</span></div>
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||
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> *</span></div>
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||
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * This library is distributed in the hope that it will be useful,</span></div>
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||
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
|
||
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span></div>
|
||
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * Lesser General Public License for more details.</span></div>
|
||
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> *</span></div>
|
||
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * You should have received a copy of the GNU Lesser General Public</span></div>
|
||
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * License along with this library; if not, write to the Free Software</span></div>
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||
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,</span></div>
|
||
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * MA 02110-1301 USA</span></div>
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||
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> */</span></div>
|
||
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
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||
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="ntru__err_8h.html">ntru_err.h</a>"</span></div>
|
||
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="ntru__mem_8h.html">ntru_mem.h</a>"</span></div>
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||
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="ntru__params_8h.html">ntru_params.h</a>"</span></div>
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||
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="ntru__poly_8h.html">ntru_poly.h</a>"</span></div>
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||
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
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||
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include <stdarg.h></span></div>
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||
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include <stdbool.h></span></div>
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||
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include <stdint.h></span></div>
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||
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include <stdio.h></span></div>
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||
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#include <stdlib.h></span></div>
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||
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#include <sys/types.h></span></div>
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||
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> </div>
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||
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include <fmpz_poly.h></span></div>
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||
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include <fmpz.h></span></div>
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||
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div>
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||
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> </div>
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||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">static</span></div>
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||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">void</span> <a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a>(<span class="keyword">const</span> fmpz_poly_t a,</div>
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||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  fmpz_poly_t Fq,</div>
|
||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params);</div>
|
||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</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> </div>
|
||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">static</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054"> 63</a></span> <a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a>(<span class="keyword">const</span> fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  fmpz_poly_t Fq,</div>
|
||
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)</div>
|
||
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> {</div>
|
||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordtype">int</span> v = 2;</div>
|
||
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  fmpz_poly_t poly_tmp, two;</div>
|
||
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div>
|
||
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  fmpz_poly_init(poly_tmp);</div>
|
||
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  fmpz_poly_zero(poly_tmp);</div>
|
||
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  fmpz_poly_init(two);</div>
|
||
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  fmpz_poly_set_coeff_ui(two, 0, 2);</div>
|
||
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div>
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||
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">while</span> (v < (<span class="keywordtype">int</span>)(params-><a class="code" href="structntru__params.html#a29680750bda49dc93e61a752b2f2a0f7">q</a>)) {</div>
|
||
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  v = v * 2;</div>
|
||
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> </div>
|
||
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(a, Fq, poly_tmp, params, v);</div>
|
||
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  fmpz_poly_sub(poly_tmp, two, poly_tmp);</div>
|
||
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(poly_tmp, v);</div>
|
||
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(Fq, poly_tmp, Fq, params, v);</div>
|
||
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
|
||
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
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||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
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||
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  fmpz_poly_clear(poly_tmp);</div>
|
||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  fmpz_poly_clear(two);</div>
|
||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div>
|
||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> }</div>
|
||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> </div>
|
||
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div>
|
||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keywordtype">int</span></div>
|
||
<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#aaaac83ec72414aa208832442657c3520"> 93</a></span> <a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(<span class="keyword">const</span> fmpz_t f, slong g)</div>
|
||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> {</div>
|
||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  fmpz_t f_cmp;</div>
|
||
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div>
|
||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  fmpz_init(f_cmp);</div>
|
||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
|
||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> (f)</div>
|
||
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  fmpz_set(f_cmp, f);</div>
|
||
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">else</span></div>
|
||
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  fmpz_set_si(f_cmp, 0);</div>
|
||
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div>
|
||
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">return</span> fmpz_cmp_si(f_cmp, g);</div>
|
||
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> }</div>
|
||
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
|
||
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div>
|
||
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="ntru_8h.html#a20f86085d5eb5372fd25dc270069d38c"> 110</a></span> <a class="code" href="ntru__poly_8c.html#a20f86085d5eb5372fd25dc270069d38c">poly_new</a>(fmpz_poly_t new_poly,</div>
|
||
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordtype">int</span> <span class="keyword">const</span> * <span class="keyword">const</span> c,</div>
|
||
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> len)</div>
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||
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> {</div>
|
||
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  fmpz_poly_init(new_poly);</div>
|
||
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
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||
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">for</span> (uint32_t i = 0; i < len; i++)</div>
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||
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  fmpz_poly_set_coeff_si(new_poly, i, c[i]);</div>
|
||
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> }</div>
|
||
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div>
|
||
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div>
|
||
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="ntru_8h.html#a27ff2116f70bcbf5028219adcae4c5f0"> 123</a></span> <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(fmpz_poly_t poly)</div>
|
||
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> {</div>
|
||
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  fmpz_poly_clear(poly);</div>
|
||
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div>
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||
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </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> </div>
|
||
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="ntru_8h.html#a3f53c63383ff301b20dcede0783869a7"> 131</a></span> <a class="code" href="ntru__poly_8c.html#a3f53c63383ff301b20dcede0783869a7">poly_delete_array</a>(fmpz_poly_t **poly_array)</div>
|
||
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> {</div>
|
||
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  uint32_t i = 0;</div>
|
||
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
|
||
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">while</span>(poly_array[i]) {</div>
|
||
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(*(poly_array[i]));</div>
|
||
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  free(poly_array[i]);</div>
|
||
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  i++;</div>
|
||
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
|
||
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> </div>
|
||
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="comment">/* avoid double free */</span></div>
|
||
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">if</span> (i > 1)</div>
|
||
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  free(poly_array);</div>
|
||
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> }</div>
|
||
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </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> </div>
|
||
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="ntru_8h.html#a83297bc2ab5b6e7ce42553570dd8268f"> 149</a></span> <a class="code" href="ntru__poly_8c.html#a83297bc2ab5b6e7ce42553570dd8268f">poly_delete_all</a>(fmpz_poly_t poly, ...)</div>
|
||
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> {</div>
|
||
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  fmpz_poly_struct *next_poly;</div>
|
||
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  va_list args;</div>
|
||
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
|
||
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  next_poly = poly;</div>
|
||
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  va_start(args, poly);</div>
|
||
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordflow">while</span> (next_poly != NULL) {</div>
|
||
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(next_poly);</div>
|
||
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  next_poly = va_arg(args, fmpz_poly_struct*);</div>
|
||
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  }</div>
|
||
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  va_end(args);</div>
|
||
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> }</div>
|
||
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div>
|
||
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
|
||
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ae7d0d8364dba689df3fb4904610634cc"> 166</a></span> <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">const</span> uint32_t mod)</div>
|
||
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> {</div>
|
||
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  nmod_poly_t nmod_tmp;</div>
|
||
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
|
||
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  nmod_poly_init(nmod_tmp, mod);</div>
|
||
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> </div>
|
||
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  fmpz_poly_get_nmod_poly(nmod_tmp, a);</div>
|
||
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  fmpz_poly_set_nmod_poly_unsigned(a, nmod_tmp);</div>
|
||
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div>
|
||
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  nmod_poly_clear(nmod_tmp);</div>
|
||
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> }</div>
|
||
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
|
||
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> </div>
|
||
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00182"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#a7c4f5e96355518dc97a23da8f34b661a"> 182</a></span> <a class="code" href="ntru__poly_8c.html#a7c4f5e96355518dc97a23da8f34b661a">fmpz_poly_mod</a>(fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">const</span> uint32_t mod)</div>
|
||
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> {</div>
|
||
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  nmod_poly_t nmod_tmp;</div>
|
||
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> </div>
|
||
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  nmod_poly_init(nmod_tmp, mod);</div>
|
||
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> </div>
|
||
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  fmpz_poly_get_nmod_poly(nmod_tmp, a);</div>
|
||
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  fmpz_poly_set_nmod_poly(a, nmod_tmp);</div>
|
||
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
|
||
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  nmod_poly_clear(nmod_tmp);</div>
|
||
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> }</div>
|
||
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
|
||
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> </div>
|
||
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00198"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ab1f966fe680d1ce7c19c8c812d1932a7"> 198</a></span> <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(fmpz_poly_t poly, slong n,</div>
|
||
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">const</span> fmpz_t x)</div>
|
||
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> {</div>
|
||
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span> (x)</div>
|
||
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  fmpz_poly_set_coeff_fmpz(poly, n, x);</div>
|
||
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">else</span></div>
|
||
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  fmpz_poly_set_coeff_si(poly, n, 0);</div>
|
||
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> }</div>
|
||
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
|
||
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> </div>
|
||
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="keywordtype">int</span></div>
|
||
<div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#a59da1b7962829af8f18d58c05f588606"> 210</a></span> <a class="code" href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a>(fmpz_t f, <span class="keyword">const</span> fmpz_t g, <span class="keyword">const</span> uint32_t mod)</div>
|
||
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> {</div>
|
||
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  fmpz_t modulus;</div>
|
||
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> </div>
|
||
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  fmpz_init_set_ui(modulus, mod);</div>
|
||
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
|
||
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">return</span> fmpz_invmod(f, g, modulus);</div>
|
||
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> }</div>
|
||
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
|
||
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span> </div>
|
||
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ad2a11e832808ef1cfee0eed1cc02f4b9"> 222</a></span> <a class="code" href="ntru__poly_8c.html#ad2a11e832808ef1cfee0eed1cc02f4b9">fmpz_add_n</a>(fmpz_t f, <span class="keyword">const</span> fmpz_t g, <span class="keyword">const</span> fmpz_t h)</div>
|
||
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span> {</div>
|
||
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keywordflow">if</span> (!g && !h) {</div>
|
||
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  fmpz_zero(f);</div>
|
||
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  } <span class="keywordflow">else</span> {</div>
|
||
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">if</span> (!g && h)</div>
|
||
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  fmpz_add_ui(f, h, 0);</div>
|
||
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (g && !h)</div>
|
||
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  fmpz_add_ui(f, g, 0);</div>
|
||
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">else</span></div>
|
||
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  fmpz_add(f, g, h);</div>
|
||
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  }</div>
|
||
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div>
|
||
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> </div>
|
||
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span> </div>
|
||
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00239"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ae96f479ddd97af709a0ed50817fd3fb3"> 239</a></span> <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(<span class="keyword">const</span> fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">const</span> fmpz_poly_t b,</div>
|
||
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  fmpz_poly_t c,</div>
|
||
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params,</div>
|
||
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  uint32_t modulus)</div>
|
||
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> {</div>
|
||
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  fmpz_poly_t a_tmp;</div>
|
||
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  fmpz_t c_coeff_k;</div>
|
||
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div>
|
||
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  fmpz_poly_init(a_tmp);</div>
|
||
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  fmpz_init(c_coeff_k);</div>
|
||
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
|
||
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="comment">/* avoid side effects */</span></div>
|
||
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  fmpz_poly_set(a_tmp, a);</div>
|
||
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  fmpz_poly_zero(c);</div>
|
||
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div>
|
||
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - 1; k >= 0; k--) {</div>
|
||
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordtype">int</span> j;</div>
|
||
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> </div>
|
||
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  j = k + 1;</div>
|
||
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
|
||
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  fmpz_set_si(c_coeff_k, 0);</div>
|
||
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> </div>
|
||
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - 1; i >= 0; i--) {</div>
|
||
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  fmpz *a_tmp_coeff_i,</div>
|
||
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  *b_coeff_j;</div>
|
||
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> </div>
|
||
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keywordflow">if</span> (j == (<span class="keywordtype">int</span>)(params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>))</div>
|
||
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  j = 0;</div>
|
||
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
|
||
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  a_tmp_coeff_i = fmpz_poly_get_coeff_ptr(a_tmp, i);</div>
|
||
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  b_coeff_j = fmpz_poly_get_coeff_ptr(b, j);</div>
|
||
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> </div>
|
||
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(a_tmp_coeff_i, 0) &&</div>
|
||
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_coeff_j, 0)) {</div>
|
||
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  fmpz_t fmpz_tmp;</div>
|
||
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> </div>
|
||
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  fmpz_init(fmpz_tmp);</div>
|
||
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
|
||
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  fmpz_mul(fmpz_tmp, a_tmp_coeff_i, b_coeff_j);</div>
|
||
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  fmpz_add(fmpz_tmp, fmpz_tmp, c_coeff_k);</div>
|
||
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  fmpz_mod_ui(c_coeff_k, fmpz_tmp, modulus);</div>
|
||
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> </div>
|
||
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  fmpz_poly_set_coeff_fmpz(c, k, c_coeff_k);</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>  fmpz_clear(fmpz_tmp);</div>
|
||
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</div>
|
||
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  j++;</div>
|
||
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  }</div>
|
||
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  fmpz_clear(c_coeff_k);</div>
|
||
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
|
||
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div>
|
||
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  fmpz_poly_clear(a_tmp);</div>
|
||
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> }</div>
|
||
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div>
|
||
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div>
|
||
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="keywordtype">bool</span></div>
|
||
<div class="line"><a name="l00297"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ace66beb516186e52f9b5b1ed8a397849"> 297</a></span> <a class="code" href="ntru__poly_8c.html#ace66beb516186e52f9b5b1ed8a397849">poly_inverse_poly_q</a>(<span class="keyword">const</span> fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  fmpz_poly_t Fq,</div>
|
||
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)</div>
|
||
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> {</div>
|
||
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordtype">bool</span> retval = <span class="keyword">false</span>;</div>
|
||
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordtype">int</span> k = 0,</div>
|
||
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  j = 0;</div>
|
||
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  fmpz *b_last;</div>
|
||
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  fmpz_poly_t a_tmp,</div>
|
||
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  b,</div>
|
||
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  c,</div>
|
||
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  f,</div>
|
||
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  g;</div>
|
||
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span> </div>
|
||
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="comment">/* general initialization of temp variables */</span></div>
|
||
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  fmpz_poly_init(b);</div>
|
||
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  fmpz_poly_set_coeff_ui(b, 0, 1);</div>
|
||
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  fmpz_poly_init(c);</div>
|
||
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  fmpz_poly_init(f);</div>
|
||
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  fmpz_poly_set(f, a);</div>
|
||
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
|
||
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="comment">/* set g(x) = x^N − 1 */</span></div>
|
||
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  fmpz_poly_init(g);</div>
|
||
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  fmpz_poly_set_coeff_si(g, 0, -1);</div>
|
||
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  fmpz_poly_set_coeff_si(g, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 1);</div>
|
||
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> </div>
|
||
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="comment">/* avoid side effects */</span></div>
|
||
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  fmpz_poly_init(a_tmp);</div>
|
||
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  fmpz_poly_set(a_tmp, a);</div>
|
||
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  fmpz_poly_zero(Fq);</div>
|
||
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> </div>
|
||
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordflow">while</span> (1) {</div>
|
||
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">while</span> (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {</div>
|
||
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">for</span> (uint32_t i = 1; i <= params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>; i++) {</div>
|
||
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);</div>
|
||
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - i);</div>
|
||
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> </div>
|
||
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="comment">/* f(x) = f(x) / x */</span></div>
|
||
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(f, i - 1,</div>
|
||
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  f_coeff);</div>
|
||
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span> </div>
|
||
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="comment">/* c(x) = c(x) * x */</span></div>
|
||
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> + 1 - i,</div>
|
||
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  c_coeff);</div>
|
||
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  }</div>
|
||
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> </div>
|
||
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  fmpz_poly_set_coeff_si(f, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 0);</div>
|
||
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  fmpz_poly_set_coeff_si(c, 0, 0);</div>
|
||
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> </div>
|
||
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  k++;</div>
|
||
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
|
||
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) == -1)</div>
|
||
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keywordflow">goto</span> _cleanup;</div>
|
||
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  }</div>
|
||
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
|
||
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) == 0)</div>
|
||
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">break</span>;</div>
|
||
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> </div>
|
||
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) < fmpz_poly_degree(g)) {</div>
|
||
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  fmpz_poly_swap(f, g);</div>
|
||
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  fmpz_poly_swap(b, c);</div>
|
||
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  }</div>
|
||
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> </div>
|
||
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  fmpz_poly_add(f, g, f);</div>
|
||
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(f, 2);</div>
|
||
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
|
||
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  fmpz_poly_add(b, c, b);</div>
|
||
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(b, 2);</div>
|
||
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  }</div>
|
||
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
|
||
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  k = k % params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;</div>
|
||
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> </div>
|
||
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  b_last = fmpz_poly_get_coeff_ptr(b, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>);</div>
|
||
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_last, 0))</div>
|
||
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  <span class="keywordflow">goto</span> _cleanup;</div>
|
||
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> </div>
|
||
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="comment">/* Fq(x) = x^(N-k) * b(x) */</span></div>
|
||
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - 1; i >= 0; i--) {</div>
|
||
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  fmpz *b_i;</div>
|
||
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> </div>
|
||
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  j = i - k;</div>
|
||
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> </div>
|
||
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordflow">if</span> (j < 0)</div>
|
||
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  j = j + params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;</div>
|
||
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span> </div>
|
||
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  b_i = fmpz_poly_get_coeff_ptr(b, i);</div>
|
||
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(Fq, j, b_i);</div>
|
||
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  }</div>
|
||
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> </div>
|
||
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a>(a_tmp, Fq, params);</div>
|
||
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
|
||
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="comment">/* check if the f * Fq = 1 (mod p) condition holds true */</span></div>
|
||
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  fmpz_poly_set(a_tmp, a);</div>
|
||
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(a_tmp, Fq, a_tmp, params, params-><a class="code" href="structntru__params.html#a29680750bda49dc93e61a752b2f2a0f7">q</a>);</div>
|
||
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <span class="keywordflow">if</span> (fmpz_poly_is_one(a_tmp))</div>
|
||
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  retval = <span class="keyword">true</span>;</div>
|
||
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordflow">else</span></div>
|
||
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  fmpz_poly_zero(Fq);</div>
|
||
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> </div>
|
||
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> _cleanup:</div>
|
||
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  fmpz_poly_clear(a_tmp);</div>
|
||
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  fmpz_poly_clear(b);</div>
|
||
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  fmpz_poly_clear(c);</div>
|
||
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  fmpz_poly_clear(f);</div>
|
||
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  fmpz_poly_clear(g);</div>
|
||
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> </div>
|
||
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordflow">return</span> retval;</div>
|
||
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> }</div>
|
||
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> </div>
|
||
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span> </div>
|
||
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="keywordtype">bool</span></div>
|
||
<div class="line"><a name="l00409"></a><span class="lineno"><a class="line" href="ntru__poly_8h.html#ae77b2014df42e5ed612206d5930ac608"> 409</a></span> <a class="code" href="ntru__poly_8c.html#ae77b2014df42e5ed612206d5930ac608">poly_inverse_poly_p</a>(<span class="keyword">const</span> fmpz_poly_t a,</div>
|
||
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  fmpz_poly_t Fp,</div>
|
||
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)</div>
|
||
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span> {</div>
|
||
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordtype">bool</span> retval = <span class="keyword">false</span>;</div>
|
||
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordtype">int</span> k = 0,</div>
|
||
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  j = 0;</div>
|
||
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  fmpz *b_last;</div>
|
||
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  fmpz_poly_t a_tmp,</div>
|
||
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  b,</div>
|
||
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  c,</div>
|
||
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  f,</div>
|
||
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  g;</div>
|
||
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span> </div>
|
||
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="comment">/* general initialization of temp variables */</span></div>
|
||
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  fmpz_poly_init(b);</div>
|
||
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  fmpz_poly_set_coeff_ui(b, 0, 1);</div>
|
||
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  fmpz_poly_init(c);</div>
|
||
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  fmpz_poly_init(f);</div>
|
||
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  fmpz_poly_set(f, a);</div>
|
||
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span> </div>
|
||
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="comment">/* set g(x) = x^N − 1 */</span></div>
|
||
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  fmpz_poly_init(g);</div>
|
||
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  fmpz_poly_set_coeff_si(g, 0, -1);</div>
|
||
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  fmpz_poly_set_coeff_si(g, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 1);</div>
|
||
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span> </div>
|
||
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="comment">/* avoid side effects */</span></div>
|
||
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  fmpz_poly_init(a_tmp);</div>
|
||
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  fmpz_poly_set(a_tmp, a);</div>
|
||
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  fmpz_poly_zero(Fp);</div>
|
||
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div>
|
||
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">while</span> (1) {</div>
|
||
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <span class="keywordflow">while</span> (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {</div>
|
||
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  <span class="keywordflow">for</span> (uint32_t i = 1; i <= params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>; i++) {</div>
|
||
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);</div>
|
||
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - i);</div>
|
||
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span> </div>
|
||
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="comment">/* f(x) = f(x) / x */</span></div>
|
||
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(f, i - 1,</div>
|
||
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  f_coeff);</div>
|
||
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span> </div>
|
||
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="comment">/* c(x) = c(x) * x */</span></div>
|
||
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> + 1 - i,</div>
|
||
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  c_coeff);</div>
|
||
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  }</div>
|
||
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span> </div>
|
||
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  fmpz_poly_set_coeff_si(f, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 0);</div>
|
||
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  fmpz_poly_set_coeff_si(c, 0, 0);</div>
|
||
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span> </div>
|
||
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  k++;</div>
|
||
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span> </div>
|
||
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) == -1)</div>
|
||
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <span class="keywordflow">goto</span> cleanup;</div>
|
||
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  }</div>
|
||
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span> </div>
|
||
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) == 0)</div>
|
||
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="keywordflow">break</span>;</div>
|
||
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div>
|
||
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keywordflow">if</span> (fmpz_poly_degree(f) < fmpz_poly_degree(g)) {</div>
|
||
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="comment">/* exchange f and g and exchange b and c */</span></div>
|
||
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  fmpz_poly_swap(f, g);</div>
|
||
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  fmpz_poly_swap(b, c);</div>
|
||
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  }</div>
|
||
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span> </div>
|
||
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  {</div>
|
||
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  fmpz_poly_t c_tmp,</div>
|
||
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  g_tmp;</div>
|
||
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  fmpz_t u,</div>
|
||
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  mp_tmp;</div>
|
||
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span> </div>
|
||
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  fmpz_init(u);</div>
|
||
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  fmpz_zero(u);</div>
|
||
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span> </div>
|
||
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  fmpz_init_set(mp_tmp, fmpz_poly_get_coeff_ptr(f, 0));</div>
|
||
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span> </div>
|
||
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  fmpz_poly_init(g_tmp);</div>
|
||
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  fmpz_poly_set(g_tmp, g);</div>
|
||
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span> </div>
|
||
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  fmpz_poly_init(c_tmp);</div>
|
||
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  fmpz_poly_set(c_tmp, c);</div>
|
||
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span> </div>
|
||
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="comment">/* u = f[0] * g[0]^(-1) mod p */</span></div>
|
||
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  <span class="comment">/* = (f[0] mod p) * (g[0] inverse mod p) mod p */</span></div>
|
||
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <a class="code" href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a>(u,</div>
|
||
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  fmpz_poly_get_coeff_ptr(g, 0),</div>
|
||
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  fmpz_mod_ui(mp_tmp, mp_tmp, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  fmpz_mul(u, mp_tmp, u);</div>
|
||
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  fmpz_mod_ui(u, u, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span> </div>
|
||
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="comment">/* f = f - u * g mod p */</span></div>
|
||
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  fmpz_poly_scalar_mul_fmpz(g_tmp, g_tmp, u);</div>
|
||
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  fmpz_poly_sub(f, g_tmp, f);</div>
|
||
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(f, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span> </div>
|
||
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">/* b = b - u * c mod p */</span></div>
|
||
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  fmpz_poly_scalar_mul_fmpz(c_tmp, c_tmp, u);</div>
|
||
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  fmpz_poly_sub(b, c_tmp, b);</div>
|
||
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(b, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span> </div>
|
||
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  fmpz_clear(u);</div>
|
||
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  fmpz_poly_clear(g_tmp);</div>
|
||
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  fmpz_poly_clear(c_tmp);</div>
|
||
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  }</div>
|
||
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  }</div>
|
||
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span> </div>
|
||
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  k = k % params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;</div>
|
||
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span> </div>
|
||
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  b_last = fmpz_poly_get_coeff_ptr(b, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>);</div>
|
||
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_last, 0))</div>
|
||
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordflow">goto</span> cleanup;</div>
|
||
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span> </div>
|
||
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="comment">/* Fp(x) = x^(N-k) * b(x) */</span></div>
|
||
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - 1; i >= 0; i--) {</div>
|
||
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  fmpz *b_i;</div>
|
||
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span> </div>
|
||
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  <span class="comment">/* b(X) = f[0]^(-1) * b(X) (mod p) */</span></div>
|
||
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  {</div>
|
||
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  fmpz_t mp_tmp;</div>
|
||
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span> </div>
|
||
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  fmpz_init(mp_tmp);</div>
|
||
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span> </div>
|
||
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <a class="code" href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a>(mp_tmp,</div>
|
||
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  fmpz_poly_get_coeff_ptr(f, 0),</div>
|
||
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span> </div>
|
||
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordflow">if</span> (fmpz_poly_get_coeff_ptr(b, i)) {</div>
|
||
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  fmpz_mul(fmpz_poly_get_coeff_ptr(b, i),</div>
|
||
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  fmpz_poly_get_coeff_ptr(b, i),</div>
|
||
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  mp_tmp);</div>
|
||
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  fmpz_mod_ui(fmpz_poly_get_coeff_ptr(b, i),</div>
|
||
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  fmpz_poly_get_coeff_ptr(b, i),</div>
|
||
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  }</div>
|
||
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  }</div>
|
||
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span> </div>
|
||
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  j = i - k;</div>
|
||
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <span class="keywordflow">if</span> (j < 0)</div>
|
||
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  j = j + params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;</div>
|
||
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span> </div>
|
||
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  b_i = fmpz_poly_get_coeff_ptr(b, i);</div>
|
||
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(Fp, j, b_i);</div>
|
||
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  }</div>
|
||
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span> </div>
|
||
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="comment">/* check if the f * Fp = 1 (mod p) condition holds true */</span></div>
|
||
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  fmpz_poly_set(a_tmp, a);</div>
|
||
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(a_tmp, Fp, a_tmp, params, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);</div>
|
||
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  <span class="keywordflow">if</span> (fmpz_poly_is_one(a_tmp))</div>
|
||
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  retval = <span class="keyword">true</span>;</div>
|
||
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">else</span></div>
|
||
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  fmpz_poly_zero(Fp);</div>
|
||
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span> </div>
|
||
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span> cleanup:</div>
|
||
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  fmpz_poly_clear(a_tmp);</div>
|
||
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  fmpz_poly_clear(b);</div>
|
||
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  fmpz_poly_clear(c);</div>
|
||
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  fmpz_poly_clear(f);</div>
|
||
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  fmpz_poly_clear(g);</div>
|
||
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> </div>
|
||
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="keywordflow">return</span> retval;</div>
|
||
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span> }</div>
|
||
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span> </div>
|
||
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span> </div>
|
||
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="keywordtype">void</span></div>
|
||
<div class="line"><a name="l00574"></a><span class="lineno"><a class="line" href="ntru_8h.html#a80a8ce0f2944bc3df94291ef2f781498"> 574</a></span> <a class="code" href="ntru__poly_8c.html#a80a8ce0f2944bc3df94291ef2f781498">poly_draw</a>(<span class="keyword">const</span> fmpz_poly_t poly)</div>
|
||
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span> {</div>
|
||
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  fmpz_poly_print(poly);</div>
|
||
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  flint_printf(<span class="stringliteral">"\n"</span>);</div>
|
||
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span> }</div>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span> </div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
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<div class="line"><a name="l00581"></a><span class="lineno"> 581</span> </div>
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<div class="line"><a name="l00582"></a><span class="lineno"> 582</span> <span class="keywordtype">void</span></div>
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<div class="line"><a name="l00583"></a><span class="lineno"><a class="line" href="ntru_8h.html#aec098d00160d2d502eb1f8a7c3fa5453"> 583</a></span> <a class="code" href="ntru__poly_8c.html#aec098d00160d2d502eb1f8a7c3fa5453">poly_draw_pretty</a>(<span class="keyword">const</span> fmpz_poly_t poly)</div>
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||
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span> {</div>
|
||
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  fmpz_poly_print_pretty(poly, <span class="stringliteral">"x"</span>);</div>
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||
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  flint_printf(<span class="stringliteral">"\n"</span>);</div>
|
||
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span> }</div>
|
||
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span> </div>
|
||
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span> <span class="comment">/*------------------------------------------------------------------------*/</span></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ace66beb516186e52f9b5b1ed8a397849"><div class="ttname"><a href="ntru__poly_8c.html#ace66beb516186e52f9b5b1ed8a397849">poly_inverse_poly_q</a></div><div class="ttdeci">bool poly_inverse_poly_q(const fmpz_poly_t a, fmpz_poly_t Fq, const ntru_params *params)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00297">ntru_poly.c:297</a></div></div>
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||
<div class="ttc" id="structntru__params_html_afb8425ee3db2b917b3c4e8d9b75bd3ff"><div class="ttname"><a href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">ntru_params::N</a></div><div class="ttdeci">uint32_t N</div><div class="ttdef"><b>Definition:</b> <a href="ntru__params_8h_source.html#l00048">ntru_params.h:48</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ae7d0d8364dba689df3fb4904610634cc"><div class="ttname"><a href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a></div><div class="ttdeci">void fmpz_poly_mod_unsigned(fmpz_poly_t a, const uint32_t mod)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00166">ntru_poly.c:166</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a7c4f5e96355518dc97a23da8f34b661a"><div class="ttname"><a href="ntru__poly_8c.html#a7c4f5e96355518dc97a23da8f34b661a">fmpz_poly_mod</a></div><div class="ttdeci">void fmpz_poly_mod(fmpz_poly_t a, const uint32_t mod)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00182">ntru_poly.c:182</a></div></div>
|
||
<div class="ttc" id="structntru__params_html_a41b368825e1eb126604e13e8f549ec8f"><div class="ttname"><a href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">ntru_params::p</a></div><div class="ttdeci">uint32_t p</div><div class="ttdef"><b>Definition:</b> <a href="ntru__params_8h_source.html#l00056">ntru_params.h:56</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ae77b2014df42e5ed612206d5930ac608"><div class="ttname"><a href="ntru__poly_8c.html#ae77b2014df42e5ed612206d5930ac608">poly_inverse_poly_p</a></div><div class="ttdeci">bool poly_inverse_poly_p(const fmpz_poly_t a, fmpz_poly_t Fp, const ntru_params *params)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00409">ntru_poly.c:409</a></div></div>
|
||
<div class="ttc" id="structntru__params_html"><div class="ttname"><a href="structntru__params.html">ntru_params</a></div><div class="ttdef"><b>Definition:</b> <a href="ntru__params_8h_source.html#l00043">ntru_params.h:43</a></div></div>
|
||
<div class="ttc" id="ntru__mem_8h_html"><div class="ttname"><a href="ntru__mem_8h.html">ntru_mem.h</a></div><div class="ttdoc">header for ntru_mem.c </div></div>
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<div class="ttc" id="ntru__poly_8c_html_a59da1b7962829af8f18d58c05f588606"><div class="ttname"><a href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a></div><div class="ttdeci">int fmpz_invmod_ui(fmpz_t f, const fmpz_t g, const uint32_t mod)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00210">ntru_poly.c:210</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a80a8ce0f2944bc3df94291ef2f781498"><div class="ttname"><a href="ntru__poly_8c.html#a80a8ce0f2944bc3df94291ef2f781498">poly_draw</a></div><div class="ttdeci">void poly_draw(const fmpz_poly_t poly)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00574">ntru_poly.c:574</a></div></div>
|
||
<div class="ttc" id="ntru__params_8h_html"><div class="ttname"><a href="ntru__params_8h.html">ntru_params.h</a></div><div class="ttdoc">NTRU parameters. </div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ab1f966fe680d1ce7c19c8c812d1932a7"><div class="ttname"><a href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a></div><div class="ttdeci">void fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly, slong n, const fmpz_t x)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00198">ntru_poly.c:198</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ae96f479ddd97af709a0ed50817fd3fb3"><div class="ttname"><a href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a></div><div class="ttdeci">void poly_starmultiply(const fmpz_poly_t a, const fmpz_poly_t b, fmpz_poly_t c, const ntru_params *params, uint32_t modulus)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00239">ntru_poly.c:239</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a27ff2116f70bcbf5028219adcae4c5f0"><div class="ttname"><a href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a></div><div class="ttdeci">void poly_delete(fmpz_poly_t poly)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00123">ntru_poly.c:123</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a83297bc2ab5b6e7ce42553570dd8268f"><div class="ttname"><a href="ntru__poly_8c.html#a83297bc2ab5b6e7ce42553570dd8268f">poly_delete_all</a></div><div class="ttdeci">void poly_delete_all(fmpz_poly_t poly,...)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00149">ntru_poly.c:149</a></div></div>
|
||
<div class="ttc" id="ntru__err_8h_html"><div class="ttname"><a href="ntru__err_8h.html">ntru_err.h</a></div><div class="ttdoc">error handling </div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a20f86085d5eb5372fd25dc270069d38c"><div class="ttname"><a href="ntru__poly_8c.html#a20f86085d5eb5372fd25dc270069d38c">poly_new</a></div><div class="ttdeci">void poly_new(fmpz_poly_t new_poly, int const *const c, const size_t len)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00110">ntru_poly.c:110</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_a3f53c63383ff301b20dcede0783869a7"><div class="ttname"><a href="ntru__poly_8c.html#a3f53c63383ff301b20dcede0783869a7">poly_delete_array</a></div><div class="ttdeci">void poly_delete_array(fmpz_poly_t **poly_array)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00131">ntru_poly.c:131</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_ad2a11e832808ef1cfee0eed1cc02f4b9"><div class="ttname"><a href="ntru__poly_8c.html#ad2a11e832808ef1cfee0eed1cc02f4b9">fmpz_add_n</a></div><div class="ttdeci">void fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00222">ntru_poly.c:222</a></div></div>
|
||
<div class="ttc" id="structntru__params_html_a29680750bda49dc93e61a752b2f2a0f7"><div class="ttname"><a href="structntru__params.html#a29680750bda49dc93e61a752b2f2a0f7">ntru_params::q</a></div><div class="ttdeci">uint32_t q</div><div class="ttdef"><b>Definition:</b> <a href="ntru__params_8h_source.html#l00052">ntru_params.h:52</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_aaaac83ec72414aa208832442657c3520"><div class="ttname"><a href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a></div><div class="ttdeci">int fmpz_cmp_si_n(const fmpz_t f, slong g)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00093">ntru_poly.c:93</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8c_html_aec098d00160d2d502eb1f8a7c3fa5453"><div class="ttname"><a href="ntru__poly_8c.html#aec098d00160d2d502eb1f8a7c3fa5453">poly_draw_pretty</a></div><div class="ttdeci">void poly_draw_pretty(const fmpz_poly_t poly)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00583">ntru_poly.c:583</a></div></div>
|
||
<div class="ttc" id="ntru__poly_8h_html"><div class="ttname"><a href="ntru__poly_8h.html">ntru_poly.h</a></div><div class="ttdoc">header for ntru_poly.c </div></div>
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<div class="ttc" id="ntru__poly_8c_html_a891af13dc4355c9fab9ca3fafcac8054"><div class="ttname"><a href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a></div><div class="ttdeci">static void poly_mod2_to_modq(const fmpz_poly_t a, fmpz_poly_t Fq, const ntru_params *params)</div><div class="ttdef"><b>Definition:</b> <a href="ntru__poly_8c_source.html#l00063">ntru_poly.c:63</a></div></div>
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