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<title>post quantum cryptography: /home/travis/build/hasufell/pqc/src/ntru_poly.c Source File</title>
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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">/home/travis/build/hasufell/pqc/src/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"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
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<a name="l00002"></a>00002 <span class="comment"> * Copyright (C) 2014 FH Bielefeld</span>
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<a name="l00003"></a>00003 <span class="comment"> *</span>
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<a name="l00004"></a>00004 <span class="comment"> * This file is part of a FH Bielefeld project.</span>
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<a name="l00005"></a>00005 <span class="comment"> *</span>
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<a name="l00006"></a>00006 <span class="comment"> * This library is free software; you can redistribute it and/or</span>
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<a name="l00007"></a>00007 <span class="comment"> * modify it under the terms of the GNU Lesser General Public</span>
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<a name="l00008"></a>00008 <span class="comment"> * License as published by the Free Software Foundation; either</span>
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<a name="l00009"></a>00009 <span class="comment"> * version 2.1 of the License, or (at your option) any later version.</span>
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<a name="l00010"></a>00010 <span class="comment"> *</span>
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<a name="l00011"></a>00011 <span class="comment"> * This library is distributed in the hope that it will be useful,</span>
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<a name="l00012"></a>00012 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
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<a name="l00013"></a>00013 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span>
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<a name="l00014"></a>00014 <span class="comment"> * Lesser General Public License for more details.</span>
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<a name="l00015"></a>00015 <span class="comment"> *</span>
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<a name="l00016"></a>00016 <span class="comment"> * You should have received a copy of the GNU Lesser General Public</span>
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<a name="l00017"></a>00017 <span class="comment"> * License along with this library; if not, write to the Free Software</span>
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<a name="l00018"></a>00018 <span class="comment"> * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,</span>
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<a name="l00019"></a>00019 <span class="comment"> * MA 02110-1301 USA</span>
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<a name="l00020"></a>00020 <span class="comment"> */</span>
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<a name="l00021"></a>00021
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<a name="l00030"></a>00030 <span class="preprocessor">#include "<a class="code" href="ntru__err_8h.html" title="error handling">ntru_err.h</a>"</span>
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<a name="l00031"></a>00031 <span class="preprocessor">#include "<a class="code" href="ntru__mem_8h.html" title="header for ntru_mem.c">ntru_mem.h</a>"</span>
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<a name="l00032"></a>00032 <span class="preprocessor">#include "<a class="code" href="ntru__params_8h.html" title="NTRU parameters.">ntru_params.h</a>"</span>
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<a name="l00033"></a>00033 <span class="preprocessor">#include "<a class="code" href="ntru__poly_8h.html" title="header for ntru_poly.c">ntru_poly.h</a>"</span>
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<a name="l00034"></a>00034
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<a name="l00035"></a>00035 <span class="preprocessor">#include <stdarg.h></span>
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<a name="l00036"></a>00036 <span class="preprocessor">#include <stdbool.h></span>
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<a name="l00037"></a>00037 <span class="preprocessor">#include <stdint.h></span>
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<a name="l00038"></a>00038 <span class="preprocessor">#include <stdio.h></span>
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<a name="l00039"></a>00039 <span class="preprocessor">#include <stdlib.h></span>
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<a name="l00040"></a>00040 <span class="preprocessor">#include <sys/types.h></span>
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<a name="l00041"></a>00041
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<a name="l00042"></a>00042 <span class="preprocessor">#include <fmpz_poly.h></span>
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<a name="l00043"></a>00043 <span class="preprocessor">#include <fmpz.h></span>
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<a name="l00044"></a>00044
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<a name="l00045"></a>00045
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<a name="l00054"></a>00054 <span class="keyword">static</span>
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<a name="l00055"></a>00055 <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,
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<a name="l00056"></a>00056 fmpz_poly_t Fq,
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<a name="l00057"></a>00057 <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params);
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<a name="l00058"></a>00058
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<a name="l00059"></a>00059
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<a name="l00060"></a>00060 <span class="comment">/*------------------------------------------------------------------------*/</span>
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<a name="l00061"></a>00061
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<a name="l00062"></a>00062 <span class="keyword">static</span> <span class="keywordtype">void</span>
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<a name="l00063"></a><a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">00063</a> <a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a>(<span class="keyword">const</span> fmpz_poly_t a,
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<a name="l00064"></a>00064 fmpz_poly_t Fq,
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<a name="l00065"></a>00065 <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)
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<a name="l00066"></a>00066 {
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<a name="l00067"></a>00067 <span class="keywordtype">int</span> v = 2;
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<a name="l00068"></a>00068 fmpz_poly_t poly_tmp, two;
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<a name="l00069"></a>00069
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<a name="l00070"></a>00070 fmpz_poly_init(poly_tmp);
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<a name="l00071"></a>00071 fmpz_poly_zero(poly_tmp);
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<a name="l00072"></a>00072 fmpz_poly_init(two);
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<a name="l00073"></a>00073 fmpz_poly_set_coeff_ui(two, 0, 2);
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<a name="l00074"></a>00074
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<a name="l00075"></a>00075 <span class="keywordflow">while</span> (v < (<span class="keywordtype">int</span>)(params-><a class="code" href="structntru__params.html#a29680750bda49dc93e61a752b2f2a0f7">q</a>)) {
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<a name="l00076"></a>00076 v = v * 2;
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<a name="l00077"></a>00077
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|||
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<a name="l00078"></a>00078 <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(a, Fq, poly_tmp, params, v);
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|||
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<a name="l00079"></a>00079 fmpz_poly_sub(poly_tmp, two, poly_tmp);
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<a name="l00080"></a>00080 <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(poly_tmp, v);
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<a name="l00081"></a>00081 <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(Fq, poly_tmp, Fq, params, v);
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<a name="l00082"></a>00082
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<a name="l00083"></a>00083 }
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<a name="l00084"></a>00084
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<a name="l00085"></a>00085 fmpz_poly_clear(poly_tmp);
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<a name="l00086"></a>00086 fmpz_poly_clear(two);
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<a name="l00087"></a>00087
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<a name="l00088"></a>00088 }
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<a name="l00089"></a>00089
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<a name="l00090"></a>00090 <span class="comment">/*------------------------------------------------------------------------*/</span>
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<a name="l00091"></a>00091
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<a name="l00092"></a>00092 <span class="keywordtype">int</span>
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<a name="l00093"></a><a class="code" href="ntru__poly_8h.html#aaaac83ec72414aa208832442657c3520">00093</a> <a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(<span class="keyword">const</span> fmpz_t f, slong g)
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<a name="l00094"></a>00094 {
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|||
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<a name="l00095"></a>00095 fmpz_t f_cmp;
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<a name="l00096"></a>00096
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<a name="l00097"></a>00097 fmpz_init(f_cmp);
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<a name="l00098"></a>00098
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<a name="l00099"></a>00099 <span class="keywordflow">if</span> (f)
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<a name="l00100"></a>00100 fmpz_set(f_cmp, f);
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<a name="l00101"></a>00101 <span class="keywordflow">else</span>
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<a name="l00102"></a>00102 fmpz_set_si(f_cmp, 0);
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<a name="l00103"></a>00103
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<a name="l00104"></a>00104 <span class="keywordflow">return</span> fmpz_cmp_si(f_cmp, g);
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<a name="l00105"></a>00105 }
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<a name="l00106"></a>00106
|
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<a name="l00107"></a>00107 <span class="comment">/*------------------------------------------------------------------------*/</span>
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<a name="l00108"></a>00108
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<a name="l00109"></a>00109 <span class="keywordtype">void</span>
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<a name="l00110"></a><a class="code" href="ntru_8h.html#a20f86085d5eb5372fd25dc270069d38c">00110</a> <a class="code" href="ntru__poly_8c.html#a20f86085d5eb5372fd25dc270069d38c">poly_new</a>(fmpz_poly_t new_poly,
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<a name="l00111"></a>00111 <span class="keywordtype">int</span> <span class="keyword">const</span> * <span class="keyword">const</span> c,
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<a name="l00112"></a>00112 <span class="keyword">const</span> <span class="keywordtype">size_t</span> len)
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<a name="l00113"></a>00113 {
|
|||
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<a name="l00114"></a>00114 fmpz_poly_init(new_poly);
|
|||
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<a name="l00115"></a>00115
|
|||
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<a name="l00116"></a>00116 <span class="keywordflow">for</span> (uint32_t i = 0; i < len; i++)
|
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<a name="l00117"></a>00117 fmpz_poly_set_coeff_si(new_poly, i, c[i]);
|
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<a name="l00118"></a>00118 }
|
|||
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<a name="l00119"></a>00119
|
|||
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<a name="l00120"></a>00120 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
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<a name="l00121"></a>00121
|
|||
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<a name="l00122"></a>00122 <span class="keywordtype">void</span>
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<a name="l00123"></a><a class="code" href="ntru_8h.html#a27ff2116f70bcbf5028219adcae4c5f0">00123</a> <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(fmpz_poly_t poly)
|
|||
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<a name="l00124"></a>00124 {
|
|||
|
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<a name="l00125"></a>00125 fmpz_poly_clear(poly);
|
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|
|
<a name="l00126"></a>00126 }
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<a name="l00127"></a>00127
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<a name="l00128"></a>00128 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
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<a name="l00129"></a>00129
|
|||
|
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<a name="l00130"></a>00130 <span class="keywordtype">void</span>
|
|||
|
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<a name="l00131"></a><a class="code" href="ntru_8h.html#a3f53c63383ff301b20dcede0783869a7">00131</a> <a class="code" href="ntru__poly_8c.html#a3f53c63383ff301b20dcede0783869a7">poly_delete_array</a>(fmpz_poly_t **poly_array)
|
|||
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<a name="l00132"></a>00132 {
|
|||
|
|
<a name="l00133"></a>00133 uint32_t i = 0;
|
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<a name="l00134"></a>00134
|
|||
|
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<a name="l00135"></a>00135 <span class="keywordflow">while</span>(poly_array[i]) {
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<a name="l00136"></a>00136 <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(*(poly_array[i]));
|
|||
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<a name="l00137"></a>00137 free(poly_array[i]);
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<a name="l00138"></a>00138 i++;
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<a name="l00139"></a>00139 }
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<a name="l00140"></a>00140
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|||
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<a name="l00141"></a>00141 <span class="comment">/* avoid double free */</span>
|
|||
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|
<a name="l00142"></a>00142 <span class="keywordflow">if</span> (i > 1)
|
|||
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|
<a name="l00143"></a>00143 free(poly_array);
|
|||
|
|
<a name="l00144"></a>00144 }
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|||
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<a name="l00145"></a>00145
|
|||
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<a name="l00146"></a>00146 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
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<a name="l00147"></a>00147
|
|||
|
|
<a name="l00148"></a>00148 <span class="keywordtype">void</span>
|
|||
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|
<a name="l00149"></a><a class="code" href="ntru_8h.html#a83297bc2ab5b6e7ce42553570dd8268f">00149</a> <a class="code" href="ntru__poly_8c.html#a83297bc2ab5b6e7ce42553570dd8268f">poly_delete_all</a>(fmpz_poly_t poly, ...)
|
|||
|
|
<a name="l00150"></a>00150 {
|
|||
|
|
<a name="l00151"></a>00151 fmpz_poly_struct *next_poly;
|
|||
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<a name="l00152"></a>00152 va_list args;
|
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<a name="l00153"></a>00153
|
|||
|
|
<a name="l00154"></a>00154 next_poly = poly;
|
|||
|
|
<a name="l00155"></a>00155 va_start(args, poly);
|
|||
|
|
<a name="l00156"></a>00156 <span class="keywordflow">while</span> (next_poly != NULL) {
|
|||
|
|
<a name="l00157"></a>00157 <a class="code" href="ntru__poly_8c.html#a27ff2116f70bcbf5028219adcae4c5f0">poly_delete</a>(next_poly);
|
|||
|
|
<a name="l00158"></a>00158 next_poly = va_arg(args, fmpz_poly_struct*);
|
|||
|
|
<a name="l00159"></a>00159 }
|
|||
|
|
<a name="l00160"></a>00160 va_end(args);
|
|||
|
|
<a name="l00161"></a>00161 }
|
|||
|
|
<a name="l00162"></a>00162
|
|||
|
|
<a name="l00163"></a>00163 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00164"></a>00164
|
|||
|
|
<a name="l00165"></a>00165 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00166"></a><a class="code" href="ntru__poly_8h.html#ae7d0d8364dba689df3fb4904610634cc">00166</a> <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(fmpz_poly_t a,
|
|||
|
|
<a name="l00167"></a>00167 <span class="keyword">const</span> uint32_t mod)
|
|||
|
|
<a name="l00168"></a>00168 {
|
|||
|
|
<a name="l00169"></a>00169 nmod_poly_t nmod_tmp;
|
|||
|
|
<a name="l00170"></a>00170
|
|||
|
|
<a name="l00171"></a>00171 nmod_poly_init(nmod_tmp, mod);
|
|||
|
|
<a name="l00172"></a>00172
|
|||
|
|
<a name="l00173"></a>00173 fmpz_poly_get_nmod_poly(nmod_tmp, a);
|
|||
|
|
<a name="l00174"></a>00174 fmpz_poly_set_nmod_poly_unsigned(a, nmod_tmp);
|
|||
|
|
<a name="l00175"></a>00175
|
|||
|
|
<a name="l00176"></a>00176 nmod_poly_clear(nmod_tmp);
|
|||
|
|
<a name="l00177"></a>00177 }
|
|||
|
|
<a name="l00178"></a>00178
|
|||
|
|
<a name="l00179"></a>00179 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00180"></a>00180
|
|||
|
|
<a name="l00181"></a>00181 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00182"></a><a class="code" href="ntru__poly_8h.html#a7c4f5e96355518dc97a23da8f34b661a">00182</a> <a class="code" href="ntru__poly_8c.html#a7c4f5e96355518dc97a23da8f34b661a">fmpz_poly_mod</a>(fmpz_poly_t a,
|
|||
|
|
<a name="l00183"></a>00183 <span class="keyword">const</span> uint32_t mod)
|
|||
|
|
<a name="l00184"></a>00184 {
|
|||
|
|
<a name="l00185"></a>00185 nmod_poly_t nmod_tmp;
|
|||
|
|
<a name="l00186"></a>00186
|
|||
|
|
<a name="l00187"></a>00187 nmod_poly_init(nmod_tmp, mod);
|
|||
|
|
<a name="l00188"></a>00188
|
|||
|
|
<a name="l00189"></a>00189 fmpz_poly_get_nmod_poly(nmod_tmp, a);
|
|||
|
|
<a name="l00190"></a>00190 fmpz_poly_set_nmod_poly(a, nmod_tmp);
|
|||
|
|
<a name="l00191"></a>00191
|
|||
|
|
<a name="l00192"></a>00192 nmod_poly_clear(nmod_tmp);
|
|||
|
|
<a name="l00193"></a>00193 }
|
|||
|
|
<a name="l00194"></a>00194
|
|||
|
|
<a name="l00195"></a>00195 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00196"></a>00196
|
|||
|
|
<a name="l00197"></a>00197 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00198"></a><a class="code" href="ntru__poly_8h.html#ab1f966fe680d1ce7c19c8c812d1932a7">00198</a> <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(fmpz_poly_t poly, slong n,
|
|||
|
|
<a name="l00199"></a>00199 <span class="keyword">const</span> fmpz_t x)
|
|||
|
|
<a name="l00200"></a>00200 {
|
|||
|
|
<a name="l00201"></a>00201 <span class="keywordflow">if</span> (x)
|
|||
|
|
<a name="l00202"></a>00202 fmpz_poly_set_coeff_fmpz(poly, n, x);
|
|||
|
|
<a name="l00203"></a>00203 <span class="keywordflow">else</span>
|
|||
|
|
<a name="l00204"></a>00204 fmpz_poly_set_coeff_si(poly, n, 0);
|
|||
|
|
<a name="l00205"></a>00205 }
|
|||
|
|
<a name="l00206"></a>00206
|
|||
|
|
<a name="l00207"></a>00207 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00208"></a>00208
|
|||
|
|
<a name="l00209"></a>00209 <span class="keywordtype">int</span>
|
|||
|
|
<a name="l00210"></a><a class="code" href="ntru__poly_8h.html#a59da1b7962829af8f18d58c05f588606">00210</a> <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)
|
|||
|
|
<a name="l00211"></a>00211 {
|
|||
|
|
<a name="l00212"></a>00212 fmpz_t modulus;
|
|||
|
|
<a name="l00213"></a>00213
|
|||
|
|
<a name="l00214"></a>00214 fmpz_init_set_ui(modulus, mod);
|
|||
|
|
<a name="l00215"></a>00215
|
|||
|
|
<a name="l00216"></a>00216 <span class="keywordflow">return</span> fmpz_invmod(f, g, modulus);
|
|||
|
|
<a name="l00217"></a>00217 }
|
|||
|
|
<a name="l00218"></a>00218
|
|||
|
|
<a name="l00219"></a>00219 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00220"></a>00220
|
|||
|
|
<a name="l00221"></a>00221 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00222"></a><a class="code" href="ntru__poly_8h.html#ad2a11e832808ef1cfee0eed1cc02f4b9">00222</a> <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)
|
|||
|
|
<a name="l00223"></a>00223 {
|
|||
|
|
<a name="l00224"></a>00224 <span class="keywordflow">if</span> (!g && !h) {
|
|||
|
|
<a name="l00225"></a>00225 fmpz_zero(f);
|
|||
|
|
<a name="l00226"></a>00226 } <span class="keywordflow">else</span> {
|
|||
|
|
<a name="l00227"></a>00227 <span class="keywordflow">if</span> (!g && h)
|
|||
|
|
<a name="l00228"></a>00228 fmpz_add_ui(f, h, 0);
|
|||
|
|
<a name="l00229"></a>00229 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (g && !h)
|
|||
|
|
<a name="l00230"></a>00230 fmpz_add_ui(f, g, 0);
|
|||
|
|
<a name="l00231"></a>00231 <span class="keywordflow">else</span>
|
|||
|
|
<a name="l00232"></a>00232 fmpz_add(f, g, h);
|
|||
|
|
<a name="l00233"></a>00233 }
|
|||
|
|
<a name="l00234"></a>00234 }
|
|||
|
|
<a name="l00235"></a>00235
|
|||
|
|
<a name="l00236"></a>00236 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00237"></a>00237
|
|||
|
|
<a name="l00238"></a>00238 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00239"></a><a class="code" href="ntru__poly_8h.html#ae96f479ddd97af709a0ed50817fd3fb3">00239</a> <a class="code" href="ntru__poly_8c.html#ae96f479ddd97af709a0ed50817fd3fb3">poly_starmultiply</a>(<span class="keyword">const</span> fmpz_poly_t a,
|
|||
|
|
<a name="l00240"></a>00240 <span class="keyword">const</span> fmpz_poly_t b,
|
|||
|
|
<a name="l00241"></a>00241 fmpz_poly_t c,
|
|||
|
|
<a name="l00242"></a>00242 <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params,
|
|||
|
|
<a name="l00243"></a>00243 uint32_t modulus)
|
|||
|
|
<a name="l00244"></a>00244 {
|
|||
|
|
<a name="l00245"></a>00245 fmpz_poly_t a_tmp;
|
|||
|
|
<a name="l00246"></a>00246 fmpz_t c_coeff_k;
|
|||
|
|
<a name="l00247"></a>00247
|
|||
|
|
<a name="l00248"></a>00248 fmpz_poly_init(a_tmp);
|
|||
|
|
<a name="l00249"></a>00249 fmpz_init(c_coeff_k);
|
|||
|
|
<a name="l00250"></a>00250
|
|||
|
|
<a name="l00251"></a>00251 <span class="comment">/* avoid side effects */</span>
|
|||
|
|
<a name="l00252"></a>00252 fmpz_poly_set(a_tmp, a);
|
|||
|
|
<a name="l00253"></a>00253 fmpz_poly_zero(c);
|
|||
|
|
<a name="l00254"></a>00254
|
|||
|
|
<a name="l00255"></a>00255 <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--) {
|
|||
|
|
<a name="l00256"></a>00256 <span class="keywordtype">int</span> j;
|
|||
|
|
<a name="l00257"></a>00257
|
|||
|
|
<a name="l00258"></a>00258 j = k + 1;
|
|||
|
|
<a name="l00259"></a>00259
|
|||
|
|
<a name="l00260"></a>00260 fmpz_set_si(c_coeff_k, 0);
|
|||
|
|
<a name="l00261"></a>00261
|
|||
|
|
<a name="l00262"></a>00262 <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--) {
|
|||
|
|
<a name="l00263"></a>00263 fmpz *a_tmp_coeff_i,
|
|||
|
|
<a name="l00264"></a>00264 *b_coeff_j;
|
|||
|
|
<a name="l00265"></a>00265
|
|||
|
|
<a name="l00266"></a>00266 <span class="keywordflow">if</span> (j == (<span class="keywordtype">int</span>)(params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>))
|
|||
|
|
<a name="l00267"></a>00267 j = 0;
|
|||
|
|
<a name="l00268"></a>00268
|
|||
|
|
<a name="l00269"></a>00269 a_tmp_coeff_i = fmpz_poly_get_coeff_ptr(a_tmp, i);
|
|||
|
|
<a name="l00270"></a>00270 b_coeff_j = fmpz_poly_get_coeff_ptr(b, j);
|
|||
|
|
<a name="l00271"></a>00271
|
|||
|
|
<a name="l00272"></a>00272 <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(a_tmp_coeff_i, 0) &&
|
|||
|
|
<a name="l00273"></a>00273 <a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_coeff_j, 0)) {
|
|||
|
|
<a name="l00274"></a>00274 fmpz_t fmpz_tmp;
|
|||
|
|
<a name="l00275"></a>00275
|
|||
|
|
<a name="l00276"></a>00276 fmpz_init(fmpz_tmp);
|
|||
|
|
<a name="l00277"></a>00277
|
|||
|
|
<a name="l00278"></a>00278 fmpz_mul(fmpz_tmp, a_tmp_coeff_i, b_coeff_j);
|
|||
|
|
<a name="l00279"></a>00279 fmpz_add(fmpz_tmp, fmpz_tmp, c_coeff_k);
|
|||
|
|
<a name="l00280"></a>00280 fmpz_mod_ui(c_coeff_k, fmpz_tmp, modulus);
|
|||
|
|
<a name="l00281"></a>00281
|
|||
|
|
<a name="l00282"></a>00282 fmpz_poly_set_coeff_fmpz(c, k, c_coeff_k);
|
|||
|
|
<a name="l00283"></a>00283
|
|||
|
|
<a name="l00284"></a>00284 fmpz_clear(fmpz_tmp);
|
|||
|
|
<a name="l00285"></a>00285 }
|
|||
|
|
<a name="l00286"></a>00286 j++;
|
|||
|
|
<a name="l00287"></a>00287 }
|
|||
|
|
<a name="l00288"></a>00288 fmpz_clear(c_coeff_k);
|
|||
|
|
<a name="l00289"></a>00289 }
|
|||
|
|
<a name="l00290"></a>00290
|
|||
|
|
<a name="l00291"></a>00291 fmpz_poly_clear(a_tmp);
|
|||
|
|
<a name="l00292"></a>00292 }
|
|||
|
|
<a name="l00293"></a>00293
|
|||
|
|
<a name="l00294"></a>00294 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00295"></a>00295
|
|||
|
|
<a name="l00296"></a>00296 <span class="keywordtype">bool</span>
|
|||
|
|
<a name="l00297"></a><a class="code" href="ntru__poly_8h.html#ace66beb516186e52f9b5b1ed8a397849">00297</a> <a class="code" href="ntru__poly_8c.html#ace66beb516186e52f9b5b1ed8a397849">poly_inverse_poly_q</a>(<span class="keyword">const</span> fmpz_poly_t a,
|
|||
|
|
<a name="l00298"></a>00298 fmpz_poly_t Fq,
|
|||
|
|
<a name="l00299"></a>00299 <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)
|
|||
|
|
<a name="l00300"></a>00300 {
|
|||
|
|
<a name="l00301"></a>00301 <span class="keywordtype">bool</span> retval = <span class="keyword">false</span>;
|
|||
|
|
<a name="l00302"></a>00302 <span class="keywordtype">int</span> k = 0,
|
|||
|
|
<a name="l00303"></a>00303 j = 0;
|
|||
|
|
<a name="l00304"></a>00304 fmpz *b_last;
|
|||
|
|
<a name="l00305"></a>00305 fmpz_poly_t a_tmp,
|
|||
|
|
<a name="l00306"></a>00306 b,
|
|||
|
|
<a name="l00307"></a>00307 c,
|
|||
|
|
<a name="l00308"></a>00308 f,
|
|||
|
|
<a name="l00309"></a>00309 g;
|
|||
|
|
<a name="l00310"></a>00310
|
|||
|
|
<a name="l00311"></a>00311 <span class="comment">/* general initialization of temp variables */</span>
|
|||
|
|
<a name="l00312"></a>00312 fmpz_poly_init(b);
|
|||
|
|
<a name="l00313"></a>00313 fmpz_poly_set_coeff_ui(b, 0, 1);
|
|||
|
|
<a name="l00314"></a>00314 fmpz_poly_init(c);
|
|||
|
|
<a name="l00315"></a>00315 fmpz_poly_init(f);
|
|||
|
|
<a name="l00316"></a>00316 fmpz_poly_set(f, a);
|
|||
|
|
<a name="l00317"></a>00317
|
|||
|
|
<a name="l00318"></a>00318 <span class="comment">/* set g(x) = x^N − 1 */</span>
|
|||
|
|
<a name="l00319"></a>00319 fmpz_poly_init(g);
|
|||
|
|
<a name="l00320"></a>00320 fmpz_poly_set_coeff_si(g, 0, -1);
|
|||
|
|
<a name="l00321"></a>00321 fmpz_poly_set_coeff_si(g, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 1);
|
|||
|
|
<a name="l00322"></a>00322
|
|||
|
|
<a name="l00323"></a>00323 <span class="comment">/* avoid side effects */</span>
|
|||
|
|
<a name="l00324"></a>00324 fmpz_poly_init(a_tmp);
|
|||
|
|
<a name="l00325"></a>00325 fmpz_poly_set(a_tmp, a);
|
|||
|
|
<a name="l00326"></a>00326 fmpz_poly_zero(Fq);
|
|||
|
|
<a name="l00327"></a>00327
|
|||
|
|
<a name="l00328"></a>00328 <span class="keywordflow">while</span> (1) {
|
|||
|
|
<a name="l00329"></a>00329 <span class="keywordflow">while</span> (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
|||
|
|
<a name="l00330"></a>00330 <span class="keywordflow">for</span> (uint32_t i = 1; i <= params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>; i++) {
|
|||
|
|
<a name="l00331"></a>00331 fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);
|
|||
|
|
<a name="l00332"></a>00332 fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - i);
|
|||
|
|
<a name="l00333"></a>00333
|
|||
|
|
<a name="l00334"></a>00334 <span class="comment">/* f(x) = f(x) / x */</span>
|
|||
|
|
<a name="l00335"></a>00335 <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(f, i - 1,
|
|||
|
|
<a name="l00336"></a>00336 f_coeff);
|
|||
|
|
<a name="l00337"></a>00337
|
|||
|
|
<a name="l00338"></a>00338 <span class="comment">/* c(x) = c(x) * x */</span>
|
|||
|
|
<a name="l00339"></a>00339 <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,
|
|||
|
|
<a name="l00340"></a>00340 c_coeff);
|
|||
|
|
<a name="l00341"></a>00341 }
|
|||
|
|
<a name="l00342"></a>00342
|
|||
|
|
<a name="l00343"></a>00343 fmpz_poly_set_coeff_si(f, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 0);
|
|||
|
|
<a name="l00344"></a>00344 fmpz_poly_set_coeff_si(c, 0, 0);
|
|||
|
|
<a name="l00345"></a>00345
|
|||
|
|
<a name="l00346"></a>00346 k++;
|
|||
|
|
<a name="l00347"></a>00347
|
|||
|
|
<a name="l00348"></a>00348 <span class="keywordflow">if</span> (fmpz_poly_degree(f) == -1)
|
|||
|
|
<a name="l00349"></a>00349 <span class="keywordflow">goto</span> _cleanup;
|
|||
|
|
<a name="l00350"></a>00350 }
|
|||
|
|
<a name="l00351"></a>00351
|
|||
|
|
<a name="l00352"></a>00352 <span class="keywordflow">if</span> (fmpz_poly_degree(f) == 0)
|
|||
|
|
<a name="l00353"></a>00353 <span class="keywordflow">break</span>;
|
|||
|
|
<a name="l00354"></a>00354
|
|||
|
|
<a name="l00355"></a>00355 <span class="keywordflow">if</span> (fmpz_poly_degree(f) < fmpz_poly_degree(g)) {
|
|||
|
|
<a name="l00356"></a>00356 fmpz_poly_swap(f, g);
|
|||
|
|
<a name="l00357"></a>00357 fmpz_poly_swap(b, c);
|
|||
|
|
<a name="l00358"></a>00358 }
|
|||
|
|
<a name="l00359"></a>00359
|
|||
|
|
<a name="l00360"></a>00360 fmpz_poly_add(f, g, f);
|
|||
|
|
<a name="l00361"></a>00361 <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(f, 2);
|
|||
|
|
<a name="l00362"></a>00362
|
|||
|
|
<a name="l00363"></a>00363 fmpz_poly_add(b, c, b);
|
|||
|
|
<a name="l00364"></a>00364 <a class="code" href="ntru__poly_8c.html#ae7d0d8364dba689df3fb4904610634cc">fmpz_poly_mod_unsigned</a>(b, 2);
|
|||
|
|
<a name="l00365"></a>00365 }
|
|||
|
|
<a name="l00366"></a>00366
|
|||
|
|
<a name="l00367"></a>00367 k = k % params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;
|
|||
|
|
<a name="l00368"></a>00368
|
|||
|
|
<a name="l00369"></a>00369 b_last = fmpz_poly_get_coeff_ptr(b, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>);
|
|||
|
|
<a name="l00370"></a>00370 <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_last, 0))
|
|||
|
|
<a name="l00371"></a>00371 <span class="keywordflow">goto</span> _cleanup;
|
|||
|
|
<a name="l00372"></a>00372
|
|||
|
|
<a name="l00373"></a>00373 <span class="comment">/* Fq(x) = x^(N-k) * b(x) */</span>
|
|||
|
|
<a name="l00374"></a>00374 <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--) {
|
|||
|
|
<a name="l00375"></a>00375 fmpz *b_i;
|
|||
|
|
<a name="l00376"></a>00376
|
|||
|
|
<a name="l00377"></a>00377 j = i - k;
|
|||
|
|
<a name="l00378"></a>00378
|
|||
|
|
<a name="l00379"></a>00379 <span class="keywordflow">if</span> (j < 0)
|
|||
|
|
<a name="l00380"></a>00380 j = j + params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;
|
|||
|
|
<a name="l00381"></a>00381
|
|||
|
|
<a name="l00382"></a>00382 b_i = fmpz_poly_get_coeff_ptr(b, i);
|
|||
|
|
<a name="l00383"></a>00383 <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(Fq, j, b_i);
|
|||
|
|
<a name="l00384"></a>00384 }
|
|||
|
|
<a name="l00385"></a>00385
|
|||
|
|
<a name="l00386"></a>00386 <a class="code" href="ntru__poly_8c.html#a891af13dc4355c9fab9ca3fafcac8054">poly_mod2_to_modq</a>(a_tmp, Fq, params);
|
|||
|
|
<a name="l00387"></a>00387
|
|||
|
|
<a name="l00388"></a>00388 <span class="comment">/* check if the f * Fq = 1 (mod p) condition holds true */</span>
|
|||
|
|
<a name="l00389"></a>00389 fmpz_poly_set(a_tmp, a);
|
|||
|
|
<a name="l00390"></a>00390 <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>);
|
|||
|
|
<a name="l00391"></a>00391 <span class="keywordflow">if</span> (fmpz_poly_is_one(a_tmp))
|
|||
|
|
<a name="l00392"></a>00392 retval = <span class="keyword">true</span>;
|
|||
|
|
<a name="l00393"></a>00393 <span class="keywordflow">else</span>
|
|||
|
|
<a name="l00394"></a>00394 fmpz_poly_zero(Fq);
|
|||
|
|
<a name="l00395"></a>00395
|
|||
|
|
<a name="l00396"></a>00396 _cleanup:
|
|||
|
|
<a name="l00397"></a>00397 fmpz_poly_clear(a_tmp);
|
|||
|
|
<a name="l00398"></a>00398 fmpz_poly_clear(b);
|
|||
|
|
<a name="l00399"></a>00399 fmpz_poly_clear(c);
|
|||
|
|
<a name="l00400"></a>00400 fmpz_poly_clear(f);
|
|||
|
|
<a name="l00401"></a>00401 fmpz_poly_clear(g);
|
|||
|
|
<a name="l00402"></a>00402
|
|||
|
|
<a name="l00403"></a>00403 <span class="keywordflow">return</span> retval;
|
|||
|
|
<a name="l00404"></a>00404 }
|
|||
|
|
<a name="l00405"></a>00405
|
|||
|
|
<a name="l00406"></a>00406 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00407"></a>00407
|
|||
|
|
<a name="l00408"></a>00408 <span class="keywordtype">bool</span>
|
|||
|
|
<a name="l00409"></a><a class="code" href="ntru__poly_8h.html#ae77b2014df42e5ed612206d5930ac608">00409</a> <a class="code" href="ntru__poly_8c.html#ae77b2014df42e5ed612206d5930ac608">poly_inverse_poly_p</a>(<span class="keyword">const</span> fmpz_poly_t a,
|
|||
|
|
<a name="l00410"></a>00410 fmpz_poly_t Fp,
|
|||
|
|
<a name="l00411"></a>00411 <span class="keyword">const</span> <a class="code" href="structntru__params.html">ntru_params</a> *params)
|
|||
|
|
<a name="l00412"></a>00412 {
|
|||
|
|
<a name="l00413"></a>00413 <span class="keywordtype">bool</span> retval = <span class="keyword">false</span>;
|
|||
|
|
<a name="l00414"></a>00414 <span class="keywordtype">int</span> k = 0,
|
|||
|
|
<a name="l00415"></a>00415 j = 0;
|
|||
|
|
<a name="l00416"></a>00416 fmpz *b_last;
|
|||
|
|
<a name="l00417"></a>00417 fmpz_poly_t a_tmp,
|
|||
|
|
<a name="l00418"></a>00418 b,
|
|||
|
|
<a name="l00419"></a>00419 c,
|
|||
|
|
<a name="l00420"></a>00420 f,
|
|||
|
|
<a name="l00421"></a>00421 g;
|
|||
|
|
<a name="l00422"></a>00422
|
|||
|
|
<a name="l00423"></a>00423 <span class="comment">/* general initialization of temp variables */</span>
|
|||
|
|
<a name="l00424"></a>00424 fmpz_poly_init(b);
|
|||
|
|
<a name="l00425"></a>00425 fmpz_poly_set_coeff_ui(b, 0, 1);
|
|||
|
|
<a name="l00426"></a>00426 fmpz_poly_init(c);
|
|||
|
|
<a name="l00427"></a>00427 fmpz_poly_init(f);
|
|||
|
|
<a name="l00428"></a>00428 fmpz_poly_set(f, a);
|
|||
|
|
<a name="l00429"></a>00429
|
|||
|
|
<a name="l00430"></a>00430 <span class="comment">/* set g(x) = x^N − 1 */</span>
|
|||
|
|
<a name="l00431"></a>00431 fmpz_poly_init(g);
|
|||
|
|
<a name="l00432"></a>00432 fmpz_poly_set_coeff_si(g, 0, -1);
|
|||
|
|
<a name="l00433"></a>00433 fmpz_poly_set_coeff_si(g, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 1);
|
|||
|
|
<a name="l00434"></a>00434
|
|||
|
|
<a name="l00435"></a>00435 <span class="comment">/* avoid side effects */</span>
|
|||
|
|
<a name="l00436"></a>00436 fmpz_poly_init(a_tmp);
|
|||
|
|
<a name="l00437"></a>00437 fmpz_poly_set(a_tmp, a);
|
|||
|
|
<a name="l00438"></a>00438 fmpz_poly_zero(Fp);
|
|||
|
|
<a name="l00439"></a>00439
|
|||
|
|
<a name="l00440"></a>00440 <span class="keywordflow">while</span> (1) {
|
|||
|
|
<a name="l00441"></a>00441 <span class="keywordflow">while</span> (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
|||
|
|
<a name="l00442"></a>00442 <span class="keywordflow">for</span> (uint32_t i = 1; i <= params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>; i++) {
|
|||
|
|
<a name="l00443"></a>00443 fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);
|
|||
|
|
<a name="l00444"></a>00444 fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a> - i);
|
|||
|
|
<a name="l00445"></a>00445
|
|||
|
|
<a name="l00446"></a>00446 <span class="comment">/* f(x) = f(x) / x */</span>
|
|||
|
|
<a name="l00447"></a>00447 <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(f, i - 1,
|
|||
|
|
<a name="l00448"></a>00448 f_coeff);
|
|||
|
|
<a name="l00449"></a>00449
|
|||
|
|
<a name="l00450"></a>00450 <span class="comment">/* c(x) = c(x) * x */</span>
|
|||
|
|
<a name="l00451"></a>00451 <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,
|
|||
|
|
<a name="l00452"></a>00452 c_coeff);
|
|||
|
|
<a name="l00453"></a>00453 }
|
|||
|
|
<a name="l00454"></a>00454
|
|||
|
|
<a name="l00455"></a>00455 fmpz_poly_set_coeff_si(f, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>, 0);
|
|||
|
|
<a name="l00456"></a>00456 fmpz_poly_set_coeff_si(c, 0, 0);
|
|||
|
|
<a name="l00457"></a>00457
|
|||
|
|
<a name="l00458"></a>00458 k++;
|
|||
|
|
<a name="l00459"></a>00459
|
|||
|
|
<a name="l00460"></a>00460 <span class="keywordflow">if</span> (fmpz_poly_degree(f) == -1)
|
|||
|
|
<a name="l00461"></a>00461 <span class="keywordflow">goto</span> cleanup;
|
|||
|
|
<a name="l00462"></a>00462 }
|
|||
|
|
<a name="l00463"></a>00463
|
|||
|
|
<a name="l00464"></a>00464 <span class="keywordflow">if</span> (fmpz_poly_degree(f) == 0)
|
|||
|
|
<a name="l00465"></a>00465 <span class="keywordflow">break</span>;
|
|||
|
|
<a name="l00466"></a>00466
|
|||
|
|
<a name="l00467"></a>00467 <span class="keywordflow">if</span> (fmpz_poly_degree(f) < fmpz_poly_degree(g)) {
|
|||
|
|
<a name="l00468"></a>00468 <span class="comment">/* exchange f and g and exchange b and c */</span>
|
|||
|
|
<a name="l00469"></a>00469 fmpz_poly_swap(f, g);
|
|||
|
|
<a name="l00470"></a>00470 fmpz_poly_swap(b, c);
|
|||
|
|
<a name="l00471"></a>00471 }
|
|||
|
|
<a name="l00472"></a>00472
|
|||
|
|
<a name="l00473"></a>00473 {
|
|||
|
|
<a name="l00474"></a>00474 fmpz_poly_t c_tmp,
|
|||
|
|
<a name="l00475"></a>00475 g_tmp;
|
|||
|
|
<a name="l00476"></a>00476 fmpz_t u,
|
|||
|
|
<a name="l00477"></a>00477 mp_tmp;
|
|||
|
|
<a name="l00478"></a>00478
|
|||
|
|
<a name="l00479"></a>00479 fmpz_init(u);
|
|||
|
|
<a name="l00480"></a>00480 fmpz_zero(u);
|
|||
|
|
<a name="l00481"></a>00481
|
|||
|
|
<a name="l00482"></a>00482 fmpz_init_set(mp_tmp, fmpz_poly_get_coeff_ptr(f, 0));
|
|||
|
|
<a name="l00483"></a>00483
|
|||
|
|
<a name="l00484"></a>00484 fmpz_poly_init(g_tmp);
|
|||
|
|
<a name="l00485"></a>00485 fmpz_poly_set(g_tmp, g);
|
|||
|
|
<a name="l00486"></a>00486
|
|||
|
|
<a name="l00487"></a>00487 fmpz_poly_init(c_tmp);
|
|||
|
|
<a name="l00488"></a>00488 fmpz_poly_set(c_tmp, c);
|
|||
|
|
<a name="l00489"></a>00489
|
|||
|
|
<a name="l00490"></a>00490 <span class="comment">/* u = f[0] * g[0]^(-1) mod p */</span>
|
|||
|
|
<a name="l00491"></a>00491 <span class="comment">/* = (f[0] mod p) * (g[0] inverse mod p) mod p */</span>
|
|||
|
|
<a name="l00492"></a>00492 <a class="code" href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a>(u,
|
|||
|
|
<a name="l00493"></a>00493 fmpz_poly_get_coeff_ptr(g, 0),
|
|||
|
|
<a name="l00494"></a>00494 params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);
|
|||
|
|
<a name="l00495"></a>00495 fmpz_mod_ui(mp_tmp, mp_tmp, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);
|
|||
|
|
<a name="l00496"></a>00496 fmpz_mul(u, mp_tmp, u);
|
|||
|
|
<a name="l00497"></a>00497 fmpz_mod_ui(u, u, params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);
|
|||
|
|
<a name="l00498"></a>00498
|
|||
|
|
<a name="l00499"></a>00499 <span class="comment">/* f = f - u * g mod p */</span>
|
|||
|
|
<a name="l00500"></a>00500 fmpz_poly_scalar_mul_fmpz(g_tmp, g_tmp, u);
|
|||
|
|
<a name="l00501"></a>00501 fmpz_poly_sub(f, g_tmp, f);
|
|||
|
|
<a name="l00502"></a>00502 <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>);
|
|||
|
|
<a name="l00503"></a>00503
|
|||
|
|
<a name="l00504"></a>00504 <span class="comment">/* b = b - u * c mod p */</span>
|
|||
|
|
<a name="l00505"></a>00505 fmpz_poly_scalar_mul_fmpz(c_tmp, c_tmp, u);
|
|||
|
|
<a name="l00506"></a>00506 fmpz_poly_sub(b, c_tmp, b);
|
|||
|
|
<a name="l00507"></a>00507 <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>);
|
|||
|
|
<a name="l00508"></a>00508
|
|||
|
|
<a name="l00509"></a>00509 fmpz_clear(u);
|
|||
|
|
<a name="l00510"></a>00510 fmpz_poly_clear(g_tmp);
|
|||
|
|
<a name="l00511"></a>00511 fmpz_poly_clear(c_tmp);
|
|||
|
|
<a name="l00512"></a>00512 }
|
|||
|
|
<a name="l00513"></a>00513 }
|
|||
|
|
<a name="l00514"></a>00514
|
|||
|
|
<a name="l00515"></a>00515 k = k % params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;
|
|||
|
|
<a name="l00516"></a>00516
|
|||
|
|
<a name="l00517"></a>00517 b_last = fmpz_poly_get_coeff_ptr(b, params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>);
|
|||
|
|
<a name="l00518"></a>00518 <span class="keywordflow">if</span> (<a class="code" href="ntru__poly_8c.html#aaaac83ec72414aa208832442657c3520">fmpz_cmp_si_n</a>(b_last, 0))
|
|||
|
|
<a name="l00519"></a>00519 <span class="keywordflow">goto</span> cleanup;
|
|||
|
|
<a name="l00520"></a>00520
|
|||
|
|
<a name="l00521"></a>00521 <span class="comment">/* Fp(x) = x^(N-k) * b(x) */</span>
|
|||
|
|
<a name="l00522"></a>00522 <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--) {
|
|||
|
|
<a name="l00523"></a>00523 fmpz *b_i;
|
|||
|
|
<a name="l00524"></a>00524
|
|||
|
|
<a name="l00525"></a>00525 <span class="comment">/* b(X) = f[0]^(-1) * b(X) (mod p) */</span>
|
|||
|
|
<a name="l00526"></a>00526 {
|
|||
|
|
<a name="l00527"></a>00527 fmpz_t mp_tmp;
|
|||
|
|
<a name="l00528"></a>00528
|
|||
|
|
<a name="l00529"></a>00529 fmpz_init(mp_tmp);
|
|||
|
|
<a name="l00530"></a>00530
|
|||
|
|
<a name="l00531"></a>00531 <a class="code" href="ntru__poly_8c.html#a59da1b7962829af8f18d58c05f588606">fmpz_invmod_ui</a>(mp_tmp,
|
|||
|
|
<a name="l00532"></a>00532 fmpz_poly_get_coeff_ptr(f, 0),
|
|||
|
|
<a name="l00533"></a>00533 params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);
|
|||
|
|
<a name="l00534"></a>00534
|
|||
|
|
<a name="l00535"></a>00535 <span class="keywordflow">if</span> (fmpz_poly_get_coeff_ptr(b, i)) {
|
|||
|
|
<a name="l00536"></a>00536 fmpz_mul(fmpz_poly_get_coeff_ptr(b, i),
|
|||
|
|
<a name="l00537"></a>00537 fmpz_poly_get_coeff_ptr(b, i),
|
|||
|
|
<a name="l00538"></a>00538 mp_tmp);
|
|||
|
|
<a name="l00539"></a>00539 fmpz_mod_ui(fmpz_poly_get_coeff_ptr(b, i),
|
|||
|
|
<a name="l00540"></a>00540 fmpz_poly_get_coeff_ptr(b, i),
|
|||
|
|
<a name="l00541"></a>00541 params-><a class="code" href="structntru__params.html#a41b368825e1eb126604e13e8f549ec8f">p</a>);
|
|||
|
|
<a name="l00542"></a>00542 }
|
|||
|
|
<a name="l00543"></a>00543 }
|
|||
|
|
<a name="l00544"></a>00544
|
|||
|
|
<a name="l00545"></a>00545 j = i - k;
|
|||
|
|
<a name="l00546"></a>00546 <span class="keywordflow">if</span> (j < 0)
|
|||
|
|
<a name="l00547"></a>00547 j = j + params-><a class="code" href="structntru__params.html#afb8425ee3db2b917b3c4e8d9b75bd3ff">N</a>;
|
|||
|
|
<a name="l00548"></a>00548
|
|||
|
|
<a name="l00549"></a>00549 b_i = fmpz_poly_get_coeff_ptr(b, i);
|
|||
|
|
<a name="l00550"></a>00550 <a class="code" href="ntru__poly_8c.html#ab1f966fe680d1ce7c19c8c812d1932a7">fmpz_poly_set_coeff_fmpz_n</a>(Fp, j, b_i);
|
|||
|
|
<a name="l00551"></a>00551 }
|
|||
|
|
<a name="l00552"></a>00552
|
|||
|
|
<a name="l00553"></a>00553 <span class="comment">/* check if the f * Fp = 1 (mod p) condition holds true */</span>
|
|||
|
|
<a name="l00554"></a>00554 fmpz_poly_set(a_tmp, a);
|
|||
|
|
<a name="l00555"></a>00555 <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>);
|
|||
|
|
<a name="l00556"></a>00556 <span class="keywordflow">if</span> (fmpz_poly_is_one(a_tmp))
|
|||
|
|
<a name="l00557"></a>00557 retval = <span class="keyword">true</span>;
|
|||
|
|
<a name="l00558"></a>00558 <span class="keywordflow">else</span>
|
|||
|
|
<a name="l00559"></a>00559 fmpz_poly_zero(Fp);
|
|||
|
|
<a name="l00560"></a>00560
|
|||
|
|
<a name="l00561"></a>00561 cleanup:
|
|||
|
|
<a name="l00562"></a>00562 fmpz_poly_clear(a_tmp);
|
|||
|
|
<a name="l00563"></a>00563 fmpz_poly_clear(b);
|
|||
|
|
<a name="l00564"></a>00564 fmpz_poly_clear(c);
|
|||
|
|
<a name="l00565"></a>00565 fmpz_poly_clear(f);
|
|||
|
|
<a name="l00566"></a>00566 fmpz_poly_clear(g);
|
|||
|
|
<a name="l00567"></a>00567
|
|||
|
|
<a name="l00568"></a>00568 <span class="keywordflow">return</span> retval;
|
|||
|
|
<a name="l00569"></a>00569 }
|
|||
|
|
<a name="l00570"></a>00570
|
|||
|
|
<a name="l00571"></a>00571 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00572"></a>00572
|
|||
|
|
<a name="l00573"></a>00573 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00574"></a><a class="code" href="ntru_8h.html#a80a8ce0f2944bc3df94291ef2f781498">00574</a> <a class="code" href="ntru__poly_8c.html#a80a8ce0f2944bc3df94291ef2f781498">poly_draw</a>(<span class="keyword">const</span> fmpz_poly_t poly)
|
|||
|
|
<a name="l00575"></a>00575 {
|
|||
|
|
<a name="l00576"></a>00576 fmpz_poly_print(poly);
|
|||
|
|
<a name="l00577"></a>00577 flint_printf(<span class="stringliteral">"\n"</span>);
|
|||
|
|
<a name="l00578"></a>00578 }
|
|||
|
|
<a name="l00579"></a>00579
|
|||
|
|
<a name="l00580"></a>00580 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
<a name="l00581"></a>00581
|
|||
|
|
<a name="l00582"></a>00582 <span class="keywordtype">void</span>
|
|||
|
|
<a name="l00583"></a><a class="code" href="ntru_8h.html#aec098d00160d2d502eb1f8a7c3fa5453">00583</a> <a class="code" href="ntru__poly_8c.html#aec098d00160d2d502eb1f8a7c3fa5453">poly_draw_pretty</a>(<span class="keyword">const</span> fmpz_poly_t poly)
|
|||
|
|
<a name="l00584"></a>00584 {
|
|||
|
|
<a name="l00585"></a>00585 fmpz_poly_print_pretty(poly, <span class="stringliteral">"x"</span>);
|
|||
|
|
<a name="l00586"></a>00586 flint_printf(<span class="stringliteral">"\n"</span>);
|
|||
|
|
<a name="l00587"></a>00587 }
|
|||
|
|
<a name="l00588"></a>00588
|
|||
|
|
<a name="l00589"></a>00589 <span class="comment">/*------------------------------------------------------------------------*/</span>
|
|||
|
|
</pre></div></div><!-- contents -->
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