snapraid/cov/raid/gf.h.gcov.html
Andrea Mazzoleni a53ac4a175 Auto update
2026-03-15 18:52:43 +01:00

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<td class="headerValue">2026-03-15 15:58:19</td>
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<pre class="sourceHeading"> Line data Source code</pre>
<pre class="source">
<a name="1"><span class="lineNum"> 1 </span> : /*</a>
<a name="2"><span class="lineNum"> 2 </span> : * Copyright (C) 2013 Andrea Mazzoleni</a>
<a name="3"><span class="lineNum"> 3 </span> : *</a>
<a name="4"><span class="lineNum"> 4 </span> : * This program is free software: you can redistribute it and/or modify</a>
<a name="5"><span class="lineNum"> 5 </span> : * it under the terms of the GNU General Public License as published by</a>
<a name="6"><span class="lineNum"> 6 </span> : * the Free Software Foundation, either version 2 of the License, or</a>
<a name="7"><span class="lineNum"> 7 </span> : * (at your option) any later version.</a>
<a name="8"><span class="lineNum"> 8 </span> : *</a>
<a name="9"><span class="lineNum"> 9 </span> : * This program is distributed in the hope that it will be useful,</a>
<a name="10"><span class="lineNum"> 10 </span> : * but WITHOUT ANY WARRANTY; without even the implied warranty of</a>
<a name="11"><span class="lineNum"> 11 </span> : * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</a>
<a name="12"><span class="lineNum"> 12 </span> : * GNU General Public License for more details.</a>
<a name="13"><span class="lineNum"> 13 </span> : */</a>
<a name="14"><span class="lineNum"> 14 </span> : </a>
<a name="15"><span class="lineNum"> 15 </span> : #ifndef __RAID_GF_H</a>
<a name="16"><span class="lineNum"> 16 </span> : #define __RAID_GF_H</a>
<a name="17"><span class="lineNum"> 17 </span> : </a>
<a name="18"><span class="lineNum"> 18 </span> : /*</a>
<a name="19"><span class="lineNum"> 19 </span> : * Galois field operations.</a>
<a name="20"><span class="lineNum"> 20 </span> : *</a>
<a name="21"><span class="lineNum"> 21 </span> : * Basic range checks are implemented using BUG_ON().</a>
<a name="22"><span class="lineNum"> 22 </span> : */</a>
<a name="23"><span class="lineNum"> 23 </span> : </a>
<a name="24"><span class="lineNum"> 24 </span> : /*</a>
<a name="25"><span class="lineNum"> 25 </span> : * GF a*b.</a>
<a name="26"><span class="lineNum"> 26 </span> : */</a>
<a name="27"><span class="lineNum"> 27 </span> : static __always_inline uint8_t mul(uint8_t a, uint8_t b)</a>
<a name="28"><span class="lineNum"> 28 </span> : {</a>
<a name="29"><span class="lineNum"> 29 </span><span class="lineCov"> 24467646 : return gfmul[a][b];</span></a>
<a name="30"><span class="lineNum"> 30 </span> : }</a>
<a name="31"><span class="lineNum"> 31 </span> : </a>
<a name="32"><span class="lineNum"> 32 </span> : /*</a>
<a name="33"><span class="lineNum"> 33 </span> : * GF 1/a.</a>
<a name="34"><span class="lineNum"> 34 </span> : * Not defined for a == 0.</a>
<a name="35"><span class="lineNum"> 35 </span> : */</a>
<a name="36"><span class="lineNum"> 36 </span> : static __always_inline uint8_t inv(uint8_t v)</a>
<a name="37"><span class="lineNum"> 37 </span> : {</a>
<a name="38"><span class="lineNum"> 38 </span><span class="lineCov"> 674481 : BUG_ON(v == 0); /* division by zero */</span></a>
<a name="39"><span class="lineNum"> 39 </span> : </a>
<a name="40"><span class="lineNum"> 40 </span><span class="lineCov"> 674481 : return gfinv[v];</span></a>
<a name="41"><span class="lineNum"> 41 </span> : }</a>
<a name="42"><span class="lineNum"> 42 </span> : </a>
<a name="43"><span class="lineNum"> 43 </span> : /*</a>
<a name="44"><span class="lineNum"> 44 </span> : * GF 2^a.</a>
<a name="45"><span class="lineNum"> 45 </span> : */</a>
<a name="46"><span class="lineNum"> 46 </span> : static __always_inline uint8_t pow2(int v)</a>
<a name="47"><span class="lineNum"> 47 </span> : {</a>
<a name="48"><span class="lineNum"> 48 </span><span class="lineCov"> 396 : BUG_ON(v &lt; 0 || v &gt; 254); /* invalid exponent */</span></a>
<a name="49"><span class="lineNum"> 49 </span> : </a>
<a name="50"><span class="lineNum"> 50 </span><span class="lineCov"> 396 : return gfexp[v];</span></a>
<a name="51"><span class="lineNum"> 51 </span> : }</a>
<a name="52"><span class="lineNum"> 52 </span> : </a>
<a name="53"><span class="lineNum"> 53 </span> : /*</a>
<a name="54"><span class="lineNum"> 54 </span> : * Gets the multiplication table for a specified value.</a>
<a name="55"><span class="lineNum"> 55 </span> : */</a>
<a name="56"><span class="lineNum"> 56 </span> : static __always_inline const uint8_t *table(uint8_t v)</a>
<a name="57"><span class="lineNum"> 57 </span> : {</a>
<a name="58"><span class="lineNum"> 58 </span><span class="lineCov"> 409801 : return gfmul[v];</span></a>
<a name="59"><span class="lineNum"> 59 </span> : }</a>
<a name="60"><span class="lineNum"> 60 </span> : </a>
<a name="61"><span class="lineNum"> 61 </span> : /*</a>
<a name="62"><span class="lineNum"> 62 </span> : * Gets the generator matrix coefficient for parity 'p' and disk 'd'.</a>
<a name="63"><span class="lineNum"> 63 </span> : */</a>
<a name="64"><span class="lineNum"> 64 </span> : static __always_inline uint8_t A(int p, int d)</a>
<a name="65"><span class="lineNum"> 65 </span> : {</a>
<a name="66"><span class="lineNum"> 66 </span><span class="lineCov"> 2719993 : return gfgen[p][d];</span></a>
<a name="67"><span class="lineNum"> 67 </span> : }</a>
<a name="68"><span class="lineNum"> 68 </span> : </a>
<a name="69"><span class="lineNum"> 69 </span> : /*</a>
<a name="70"><span class="lineNum"> 70 </span> : * Dereference as uint8_t</a>
<a name="71"><span class="lineNum"> 71 </span> : */</a>
<a name="72"><span class="lineNum"> 72 </span> : #define v_8(p) (*(uint8_t *)&amp;(p))</a>
<a name="73"><span class="lineNum"> 73 </span> : </a>
<a name="74"><span class="lineNum"> 74 </span> : /*</a>
<a name="75"><span class="lineNum"> 75 </span> : * Dereference as uint32_t</a>
<a name="76"><span class="lineNum"> 76 </span> : */</a>
<a name="77"><span class="lineNum"> 77 </span> : #define v_32(p) (*(uint32_t *)&amp;(p))</a>
<a name="78"><span class="lineNum"> 78 </span> : </a>
<a name="79"><span class="lineNum"> 79 </span> : /*</a>
<a name="80"><span class="lineNum"> 80 </span> : * Dereference as uint64_t</a>
<a name="81"><span class="lineNum"> 81 </span> : */</a>
<a name="82"><span class="lineNum"> 82 </span> : #define v_64(p) (*(uint64_t *)&amp;(p))</a>
<a name="83"><span class="lineNum"> 83 </span> : </a>
<a name="84"><span class="lineNum"> 84 </span> : /*</a>
<a name="85"><span class="lineNum"> 85 </span> : * Multiply each byte of a uint32 by 2 in the GF(2^8).</a>
<a name="86"><span class="lineNum"> 86 </span> : */</a>
<a name="87"><span class="lineNum"> 87 </span> : static __always_inline uint32_t x2_32(uint32_t v)</a>
<a name="88"><span class="lineNum"> 88 </span> : {</a>
<a name="89"><span class="lineNum"> 89 </span><span class="lineCov"> 23861056 : uint32_t mask = v &amp; 0x80808080U;</span></a>
<a name="90"><span class="lineNum"> 90 </span> : </a>
<a name="91"><span class="lineNum"> 91 </span><span class="lineCov"> 23861056 : mask = (mask &lt;&lt; 1) - (mask &gt;&gt; 7);</span></a>
<a name="92"><span class="lineNum"> 92 </span><span class="lineCov"> 23861056 : v = (v &lt;&lt; 1) &amp; 0xfefefefeU;</span></a>
<a name="93"><span class="lineNum"> 93 </span><span class="lineCov"> 23861056 : v ^= mask &amp; 0x1d1d1d1dU;</span></a>
<a name="94"><span class="lineNum"> 94 </span><span class="lineCov"> 23861056 : return v;</span></a>
<a name="95"><span class="lineNum"> 95 </span> : }</a>
<a name="96"><span class="lineNum"> 96 </span> : </a>
<a name="97"><span class="lineNum"> 97 </span> : /*</a>
<a name="98"><span class="lineNum"> 98 </span> : * Multiply each byte of a uint64 by 2 in the GF(2^8).</a>
<a name="99"><span class="lineNum"> 99 </span> : */</a>
<a name="100"><span class="lineNum"> 100 </span> : static __always_inline uint64_t x2_64(uint64_t v)</a>
<a name="101"><span class="lineNum"> 101 </span> : {</a>
<a name="102"><span class="lineNum"> 102 </span><span class="lineCov"> 21793696 : uint64_t mask = v &amp; 0x8080808080808080ULL;</span></a>
<a name="103"><span class="lineNum"> 103 </span> : </a>
<a name="104"><span class="lineNum"> 104 </span><span class="lineCov"> 21793696 : mask = (mask &lt;&lt; 1) - (mask &gt;&gt; 7);</span></a>
<a name="105"><span class="lineNum"> 105 </span><span class="lineCov"> 21793696 : v = (v &lt;&lt; 1) &amp; 0xfefefefefefefefeULL;</span></a>
<a name="106"><span class="lineNum"> 106 </span><span class="lineCov"> 21793696 : v ^= mask &amp; 0x1d1d1d1d1d1d1d1dULL;</span></a>
<a name="107"><span class="lineNum"> 107 </span><span class="lineCov"> 21793696 : return v;</span></a>
<a name="108"><span class="lineNum"> 108 </span> : }</a>
<a name="109"><span class="lineNum"> 109 </span> : </a>
<a name="110"><span class="lineNum"> 110 </span> : /*</a>
<a name="111"><span class="lineNum"> 111 </span> : * Divide each byte of a uint32 by 2 in the GF(2^8).</a>
<a name="112"><span class="lineNum"> 112 </span> : */</a>
<a name="113"><span class="lineNum"> 113 </span> : static __always_inline uint32_t d2_32(uint32_t v)</a>
<a name="114"><span class="lineNum"> 114 </span> : {</a>
<a name="115"><span class="lineNum"> 115 </span><span class="lineCov"> 9177024 : uint32_t mask = v &amp; 0x01010101U;</span></a>
<a name="116"><span class="lineNum"> 116 </span> : </a>
<a name="117"><span class="lineNum"> 117 </span><span class="lineCov"> 9177024 : mask = (mask &lt;&lt; 8) - mask;</span></a>
<a name="118"><span class="lineNum"> 118 </span><span class="lineCov"> 9177024 : v = (v &gt;&gt; 1) &amp; 0x7f7f7f7fU;</span></a>
<a name="119"><span class="lineNum"> 119 </span><span class="lineCov"> 9177024 : v ^= mask &amp; 0x8e8e8e8eU;</span></a>
<a name="120"><span class="lineNum"> 120 </span><span class="lineCov"> 9177024 : return v;</span></a>
<a name="121"><span class="lineNum"> 121 </span> : }</a>
<a name="122"><span class="lineNum"> 122 </span> : </a>
<a name="123"><span class="lineNum"> 123 </span> : /*</a>
<a name="124"><span class="lineNum"> 124 </span> : * Divide each byte of a uint64 by 2 in the GF(2^8).</a>
<a name="125"><span class="lineNum"> 125 </span> : */</a>
<a name="126"><span class="lineNum"> 126 </span> : static __always_inline uint64_t d2_64(uint64_t v)</a>
<a name="127"><span class="lineNum"> 127 </span> : {</a>
<a name="128"><span class="lineNum"> 128 </span><span class="lineCov"> 8487904 : uint64_t mask = v &amp; 0x0101010101010101ULL;</span></a>
<a name="129"><span class="lineNum"> 129 </span> : </a>
<a name="130"><span class="lineNum"> 130 </span><span class="lineCov"> 8487904 : mask = (mask &lt;&lt; 8) - mask;</span></a>
<a name="131"><span class="lineNum"> 131 </span><span class="lineCov"> 8487904 : v = (v &gt;&gt; 1) &amp; 0x7f7f7f7f7f7f7f7fULL;</span></a>
<a name="132"><span class="lineNum"> 132 </span><span class="lineCov"> 8487904 : v ^= mask &amp; 0x8e8e8e8e8e8e8e8eULL;</span></a>
<a name="133"><span class="lineNum"> 133 </span><span class="lineCov"> 8487904 : return v;</span></a>
<a name="134"><span class="lineNum"> 134 </span> : }</a>
<a name="135"><span class="lineNum"> 135 </span> : </a>
<a name="136"><span class="lineNum"> 136 </span> : #endif</a>
<a name="137"><span class="lineNum"> 137 </span> : </a>
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