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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Documentation</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<base href="../">
<link rel="icon" href="images/favicon.ico"/>
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</li>
</ul>
</section>
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<h2 class="phpdocumentor-sidebar__category-header">Indices</h2>
<h3 class="phpdocumentor-sidebar__root-package"><a href="indices/files.html">Files</a></h3>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/chillerlan.html">chillerlan</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/chillerlan-qrcode-common.html">Common</a></li>
</ul>
<article class="phpdocumentor-element -class">
<h2 class="phpdocumentor-content__title">
GF256
<div class="phpdocumentor-element__package">
in package
<ul class="phpdocumentor-breadcrumbs">
<li class="phpdocumentor-breadcrumb"><a href="packages/Application.html">Application</a></li>
</ul>
</div>
</h2>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">29</span>
</aside>
<p class="phpdocumentor-summary">This class contains utility methods for performing mathematical operations over
the Galois Fields. Operations use a given primitive polynomial in calculations.</p>
<section class="phpdocumentor-description"><p>Throughout this package, elements of the GF are represented as an int
for convenience and speed (but at the cost of memory).</p>
</section>
<h5 class="phpdocumentor-tag-list__heading" id="tags">
Tags
<a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
</h5>
<dl class="phpdocumentor-tag-list">
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">author</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<section class="phpdocumentor-description"><p>Sean Owen</p>
</section>
</dd>
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">author</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<section class="phpdocumentor-description"><p>David Olivier</p>
</section>
</dd>
</dl>
<h3 id="toc">
Table of Contents
<a href="#toc" class="headerlink"><i class="fas fa-link"></i></a>
</h3>
<dl class="phpdocumentor-table-of-contents">
<dt class="phpdocumentor-table-of-contents__entry -constant -private">
<a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable">expTable</a>
<span>
&nbsp;= [1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1] </span>
</dt>
<dd></dd>
<dt class="phpdocumentor-table-of-contents__entry -constant -private">
<a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable">logTable</a>
<span>
&nbsp;= [
0,
// the first value is never returned, index starts at 1
0,
1,
25,
2,
50,
26,
198,
3,
223,
51,
238,
27,
104,
199,
75,
4,
100,
224,
14,
52,
141,
239,
129,
28,
193,
105,
248,
200,
8,
76,
113,
5,
138,
101,
47,
225,
36,
15,
33,
53,
147,
142,
218,
240,
18,
130,
69,
29,
181,
194,
125,
106,
39,
249,
185,
201,
154,
9,
120,
77,
228,
114,
166,
6,
191,
139,
98,
102,
221,
48,
253,
226,
152,
37,
179,
16,
145,
34,
136,
54,
208,
148,
206,
143,
150,
219,
189,
241,
210,
19,
92,
131,
56,
70,
64,
30,
66,
182,
163,
195,
72,
126,
110,
107,
58,
40,
84,
250,
133,
186,
61,
202,
94,
155,
159,
10,
21,
121,
43,
78,
212,
229,
172,
115,
243,
167,
87,
7,
112,
192,
247,
140,
128,
99,
13,
103,
74,
222,
237,
49,
197,
254,
24,
227,
165,
153,
119,
38,
184,
180,
124,
17,
68,
146,
217,
35,
32,
137,
46,
55,
63,
209,
91,
149,
188,
207,
205,
144,
135,
151,
178,
220,
252,
190,
97,
242,
86,
211,
171,
20,
42,
93,
158,
132,
60,
57,
83,
71,
109,
65,
162,
31,
45,
67,
216,
183,
123,
164,
118,
196,
23,
73,
236,
127,
12,
111,
246,
108,
161,
59,
82,
41,
157,
85,
170,
251,
96,
134,
177,
187,
204,
62,
90,
203,
89,
95,
176,
156,
169,
160,
81,
11,
245,
22,
235,
122,
117,
44,
215,
79,
174,
213,
233,
230,
231,
173,
232,
116,
214,
244,
234,
168,
80,
88,
175,
] </span>
</dt>
<dd>irreducible polynomial whose coefficients are represented by the bits of an int,
where the least-significant bit represents the constant coefficient</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract">addOrSubtract()</a>
<span>
&nbsp;: int </span>
</dt>
<dd>Implements both addition and subtraction -- they are the same in GF(size).</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial">buildMonomial()</a>
<span>
&nbsp;: <a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a> </span>
</dt>
<dd></dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp">exp()</a>
<span>
&nbsp;: int </span>
</dt>
<dd></dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse">inverse()</a>
<span>
&nbsp;: int </span>
</dt>
<dd></dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_log">log()</a>
<span>
&nbsp;: int </span>
</dt>
<dd></dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply">multiply()</a>
<span>
&nbsp;: int </span>
</dt>
<dd></dd>
</dl>
<section class="phpdocumentor-constants">
<h3 class="phpdocumentor-elements__header" id="constants">
Constants
<a href="classes/chillerlan-QRCode-Common-GF256.html#constants" class="headerlink"><i class="fas fa-link"></i></a>
</h3>
<article class="phpdocumentor-element -constant -private ">
<h4 class="phpdocumentor-element__name" id="constant_expTable">
expTable
<a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">57</span>
</aside>
<code class="phpdocumentor-signature phpdocumentor-code ">
<span class="phpdocumentor-signature__visibility">private</span>
<span class="phpdocumentor-signature__type">mixed</span>
<span class="phpdocumentor-signature__name">expTable</span>
= <span class="phpdocumentor-signature__default-value">[1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1]</span>
</code>
<section class="phpdocumentor-description"></section>
<section class="phpdocumentor-description"></section>
</article>
<article class="phpdocumentor-element -constant -private ">
<h4 class="phpdocumentor-element__name" id="constant_logTable">
logTable
<a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">37</span>
</aside>
<p class="phpdocumentor-summary">irreducible polynomial whose coefficients are represented by the bits of an int,
where the least-significant bit represents the constant coefficient</p>
<code class="phpdocumentor-signature phpdocumentor-code ">
<span class="phpdocumentor-signature__visibility">private</span>
<span class="phpdocumentor-signature__type">mixed</span>
<span class="phpdocumentor-signature__name">logTable</span>
= <span class="phpdocumentor-signature__default-value">[
0,
// the first value is never returned, index starts at 1
0,
1,
25,
2,
50,
26,
198,
3,
223,
51,
238,
27,
104,
199,
75,
4,
100,
224,
14,
52,
141,
239,
129,
28,
193,
105,
248,
200,
8,
76,
113,
5,
138,
101,
47,
225,
36,
15,
33,
53,
147,
142,
218,
240,
18,
130,
69,
29,
181,
194,
125,
106,
39,
249,
185,
201,
154,
9,
120,
77,
228,
114,
166,
6,
191,
139,
98,
102,
221,
48,
253,
226,
152,
37,
179,
16,
145,
34,
136,
54,
208,
148,
206,
143,
150,
219,
189,
241,
210,
19,
92,
131,
56,
70,
64,
30,
66,
182,
163,
195,
72,
126,
110,
107,
58,
40,
84,
250,
133,
186,
61,
202,
94,
155,
159,
10,
21,
121,
43,
78,
212,
229,
172,
115,
243,
167,
87,
7,
112,
192,
247,
140,
128,
99,
13,
103,
74,
222,
237,
49,
197,
254,
24,
227,
165,
153,
119,
38,
184,
180,
124,
17,
68,
146,
217,
35,
32,
137,
46,
55,
63,
209,
91,
149,
188,
207,
205,
144,
135,
151,
178,
220,
252,
190,
97,
242,
86,
211,
171,
20,
42,
93,
158,
132,
60,
57,
83,
71,
109,
65,
162,
31,
45,
67,
216,
183,
123,
164,
118,
196,
23,
73,
236,
127,
12,
111,
246,
108,
161,
59,
82,
41,
157,
85,
170,
251,
96,
134,
177,
187,
204,
62,
90,
203,
89,
95,
176,
156,
169,
160,
81,
11,
245,
22,
235,
122,
117,
44,
215,
79,
174,
213,
233,
230,
231,
173,
232,
116,
214,
244,
234,
168,
80,
88,
175,
]</span>
</code>
<section class="phpdocumentor-description"></section>
</article>
</section>
<section class="phpdocumentor-methods">
<h3 class="phpdocumentor-elements__header" id="methods">
Methods
<a href="classes/chillerlan-QRCode-Common-GF256.html#methods" class="headerlink"><i class="fas fa-link"></i></a>
</h3>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_addOrSubtract">
addOrSubtract()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">81</span>
</aside>
<p class="phpdocumentor-summary">Implements both addition and subtraction -- they are the same in GF(size).</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">addOrSubtract</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$a</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$b</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">int</span>
&mdash;
<section class="phpdocumentor-description"><p>sum/difference of a and b</p>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_buildMonomial">
buildMonomial()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">89</span>
</aside>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">buildMonomial</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$degree</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$coefficient</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$degree</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$coefficient</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-tag-list__heading" id="tags">
Tags
<a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
</h5>
<dl class="phpdocumentor-tag-list">
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">throws</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span>
&mdash;
<section class="phpdocumentor-description"><p>the monomial representing coefficient * x^degree</p>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_exp">
exp()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">104</span>
</aside>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">exp</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$a</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">int</span>
&mdash;
<section class="phpdocumentor-description"><p>2 to the power of $a in GF(size)</p>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_inverse">
inverse()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">133</span>
</aside>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">inverse</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$a</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-tag-list__heading" id="tags">
Tags
<a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
</h5>
<dl class="phpdocumentor-tag-list">
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">throws</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">int</span>
&mdash;
<section class="phpdocumentor-description"><p>multiplicative inverse of a</p>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_log">
log()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_log" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">120</span>
</aside>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">log</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$a</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-tag-list__heading" id="tags">
Tags
<a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
</h5>
<dl class="phpdocumentor-tag-list">
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">throws</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">int</span>
&mdash;
<section class="phpdocumentor-description"><p>base 2 log of $a in GF(size)</p>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
-static "
>
<h4 class="phpdocumentor-element__name" id="method_multiply">
multiply()
<a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">145</span>
</aside>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">multiply</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$a</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$b</span>
: <span class="phpdocumentor-signature__argument__return-type">int</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
<section class="phpdocumentor-description"></section>
</dd>
</dl>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">int</span>
&mdash;
<section class="phpdocumentor-description"><p>product of a and b in GF(size)</p>
</section>
</article>
</section>
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