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6783 lines
385 KiB
HTML
6783 lines
385 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<title>MainWP Child Documentation</title>
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<h1 class="phpdocumentor-title"><a href="" class="phpdocumentor-title__link">MainWP Child Documentation</a></h1>
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Menu
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<h2 class="phpdocumentor-sidebar__category-header">Namespaces</h2>
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<a href="namespaces/mainwp.html" class="">MainWP</a>
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<a href="namespaces/phpseclib3-common.html" class="">Common</a>
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<li>
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<a href="namespaces/phpseclib3-crypt.html" class="">Crypt</a>
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<li>
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<a href="namespaces/phpseclib3-exception.html" class="">Exception</a>
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<a href="namespaces/phpseclib3-file.html" class="">File</a>
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<a href="namespaces/phpseclib3-math.html" class="">Math</a>
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<li>
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<a href="namespaces/phpseclib3-net.html" class="">Net</a>
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<a href="namespaces/phpseclib3-system.html" class="">System</a>
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<h2 class="phpdocumentor-sidebar__category-header">Packages</h2>
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<h4 class="phpdocumentor-sidebar__root-namespace">
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<a href="packages/MainWP.html" class="">MainWP</a>
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<a href="packages/MainWP-Child.html" class="">Child</a>
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<a href="packages/MainWP-ChildCreditsPlugin.html" class="">ChildCreditsPlugin</a>
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<li>
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<a href="packages/MainWP-Dashboard.html" class="">Dashboard</a>
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<h4 class="phpdocumentor-sidebar__root-namespace">
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<a href="packages/MainWPChild.html" class="">MainWPChild</a>
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</h4>
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<h4 class="phpdocumentor-sidebar__root-namespace">
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<a href="packages/ParagonIE.html" class="">ParagonIE</a>
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</h4>
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<ul class="phpdocumentor-list">
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<li>
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<a href="packages/ParagonIE-ConstantTime.html" class="">ConstantTime</a>
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</li>
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</ul>
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</section>
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<section class="phpdocumentor-sidebar__category -reports">
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<h2 class="phpdocumentor-sidebar__category-header">Reports</h2>
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<h3 class="phpdocumentor-sidebar__root-package"><a href="graphs/classes.html">Class Diagram</a></h3>
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<h3 class="phpdocumentor-sidebar__root-package"><a href="reports/deprecated.html">Deprecated</a></h3>
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<h3 class="phpdocumentor-sidebar__root-package"><a href="reports/errors.html">Errors</a></h3>
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<h3 class="phpdocumentor-sidebar__root-package"><a href="reports/markers.html">Markers</a></h3>
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</section>
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<section class="phpdocumentor-sidebar__category -indices">
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<h2 class="phpdocumentor-sidebar__category-header">Indices</h2>
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<h3 class="phpdocumentor-sidebar__root-package"><a href="indices/files.html">Files</a></h3>
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</section>
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</aside>
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<div class="phpdocumentor-column -nine phpdocumentor-content">
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<section>
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<ul class="phpdocumentor-breadcrumbs">
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3.html">phpseclib3</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3-math.html">Math</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3-math-biginteger.html">BigInteger</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3-math-biginteger-engines.html">Engines</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3-math-biginteger-engines-php.html">PHP</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="namespaces/phpseclib3-math-biginteger-engines-php-reductions.html">Reductions</a></li>
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</ul>
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<article class="phpdocumentor-element -class">
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<h2 class="phpdocumentor-content__title">
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Barrett
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<span class="phpdocumentor-element__extends">
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extends <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP\Base">Base</abbr></a>
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</span>
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<div class="phpdocumentor-element__package">
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in package
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<ul class="phpdocumentor-breadcrumbs">
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<li class="phpdocumentor-breadcrumb"><a href="packages/MainWP.html">MainWP</a></li>
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<li class="phpdocumentor-breadcrumb"><a href="packages/MainWP-Child.html">Child</a></li>
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</ul>
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</div>
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</h2>
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<div class="phpdocumentor-label-line">
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<div class="phpdocumentor-label phpdocumentor-label--success"><span>Abstract</span><span>Yes</span></div>
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</div>
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<aside class="phpdocumentor-element-found-in">
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<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-reductions-barrett.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php">Barrett.php</abbr></a></abbr>
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:
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<span class="phpdocumentor-element-found-in__line">24</span>
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.24" class="phpdocumentor-element-found-in__source" data-line="24" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php.txt"></a>
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</aside>
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<p class="phpdocumentor-summary">PHP Barrett Modular Exponentiation Engine</p>
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<h5 class="phpdocumentor-tag-list__heading" id="tags">
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Tags
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#tags" class="headerlink"><i class="fas fa-link"></i></a>
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</h5>
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<dl class="phpdocumentor-tag-list">
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<dt class="phpdocumentor-tag-list__entry">
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<span class="phpdocumentor-tag__name">author</span>
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</dt>
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<dd class="phpdocumentor-tag-list__definition">
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<section class="phpdocumentor-description"><p>Jim Wigginton <a href="mailto:terrafrost@php.net">terrafrost@php.net</a></p>
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</section>
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</dd>
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</dl>
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<h3 id="toc">
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Table of Contents
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc" class="headerlink"><i class="fas fa-link"></i></a>
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</h3>
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<h4 id="toc-constants">
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Constants
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-constants" class="headerlink"><i class="fas fa-link"></i></a>
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</h4>
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<dl class="phpdocumentor-table-of-contents">
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_DATA">DATA</a>
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<span>
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= 1 </span>
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</dt>
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<dd>$cache[self::DATA] contains the cached data.</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_ENGINE_DIR">ENGINE_DIR</a>
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<span>
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= 'PHP' </span>
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</dt>
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<dd>Engine Directory</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_FAST_BITWISE">FAST_BITWISE</a>
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<span>
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= true </span>
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</dt>
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<dd>Can Bitwise operations be done fast?</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_KARATSUBA_CUTOFF">KARATSUBA_CUTOFF</a>
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<span>
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= 25 </span>
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</dt>
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<dd>Karatsuba Cutoff</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#constant_PRIMES">PRIMES</a>
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<span>
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= [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] </span>
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</dt>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_SIGN">SIGN</a>
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<span>
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= 1 </span>
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</dt>
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<dd>$result[self::SIGN] contains the sign.</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_VALUE">VALUE</a>
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<span>
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= 0 </span>
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</dt>
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<dd>$result[self::VALUE] contains the value.</dd>
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<dt class="phpdocumentor-table-of-contents__entry -constant -public">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_VARIABLE">VARIABLE</a>
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<span>
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= 0 </span>
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</dt>
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<dd>Cache constants</dd>
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</dl>
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<h4 id="toc-properties">
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Properties
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-properties" class="headerlink"><i class="fas fa-link"></i></a>
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</h4>
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<dl class="phpdocumentor-table-of-contents">
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_bitmask">$bitmask</a>
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<span>
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: static|false </span>
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</dt>
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<dd>Precision Bitmask</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_hex">$hex</a>
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<span>
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|
: string </span>
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</dt>
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<dd>Mode independent value used for serialization.</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_is_negative">$is_negative</a>
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<span>
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|
: bool </span>
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</dt>
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<dd>Holds the BigInteger's sign</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_isValidEngine">$isValidEngine</a>
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<span>
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: mixed </span>
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</dt>
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<dd>Engine Validity Flag</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_modexpEngine">$modexpEngine</a>
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<span>
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: mixed </span>
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</dt>
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<dd>Modular Exponentiation Engine</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_one">$one</a>
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<span>
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: mixed </span>
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</dt>
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<dd>BigInteger(1)</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_precision">$precision</a>
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<span>
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: int </span>
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</dt>
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<dd>Precision</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_reduce">$reduce</a>
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<span>
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: callable </span>
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</dt>
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<dd>Recurring Modulo Function</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_two">$two</a>
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<span>
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: mixed </span>
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</dt>
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<dd>BigInteger(2)</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_value">$value</a>
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<span>
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: <abbr title="\GMP">GMP</abbr>|string|array<string|int, mixed>|int </span>
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</dt>
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<dd>Holds the BigInteger's value</dd>
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<dt class="phpdocumentor-table-of-contents__entry -property -protected">
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<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_zero">$zero</a>
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|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>BigInteger(0)</dd>
|
|
|
|
</dl>
|
|
|
|
<h4 id="toc-methods">
|
|
Methods
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-methods" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<dl class="phpdocumentor-table-of-contents">
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method___construct">__construct()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Default constructor</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___debugInfo">__debugInfo()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>__debugInfo() magic method</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___sleep">__sleep()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Serialize</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___toString">__toString()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a base-10 number.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___wakeup">__wakeup()</a>
|
|
<span>
|
|
: void </span>
|
|
</dt>
|
|
<dd>Serialize</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_abs">abs()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Absolute value.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_leftRotate">bitwise_leftRotate()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Left Rotate</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_leftShift">bitwise_leftShift()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Left Shift</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_not">bitwise_not()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a>|string </span>
|
|
</dt>
|
|
<dd>Logical Not</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_rightRotate">bitwise_rightRotate()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Right Rotate</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_rightShift">bitwise_rightShift()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Right Shift</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_split">bitwise_split()</a>
|
|
<span>
|
|
: array<int, static> </span>
|
|
</dt>
|
|
<dd>Bitwise Split</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_createRecurringModuloFunction">createRecurringModuloFunction()</a>
|
|
<span>
|
|
: callable </span>
|
|
</dt>
|
|
<dd>Create Recurring Modulo Function</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_getLength">getLength()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Return the size of a BigInteger in bits</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getLengthInBytes">getLengthInBytes()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Return the size of a BigInteger in bytes</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getPrecision">getPrecision()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Get Precision</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isNegative">isNegative()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Is Negative?</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isOdd">isOdd()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Is Odd?</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_isPrime">isPrime()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Checks a numer to see if it's prime</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_isValidEngine">isValidEngine()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Test for engine validity</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_jsonSerialize">jsonSerialize()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>JSON Serialize</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minMaxBits">minMaxBits()</a>
|
|
<span>
|
|
: array{min: static, max: static} </span>
|
|
</dt>
|
|
<dd>Returns the smallest and largest n-bit number</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_negate">negate()</a>
|
|
<span>
|
|
: static </span>
|
|
</dt>
|
|
<dd>Negate</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_random">random()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Generates a random number of a certain size</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomPrime">randomPrime()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Generates a random prime number of a certain size</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_root">root()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Calculates the nth root of a biginteger.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_scan1divide">scan1divide()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Scan for 1 and right shift by that amount</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setModExpEngine">setModExpEngine()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Sets engine type.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setPrecision">setPrecision()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Set Precision</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_subtractHelper">subtractHelper()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs subtraction.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testBit">testBit()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Tests if a bit is set</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBits">toBits()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a bit string (eg. base-2).</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toBytes">toBytes()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a byte string (eg. base-256).</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toHex">toHex()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a hex string (eg. base-16).</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -public">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toString">toString()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a base-10 number.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_addHelper">addHelper()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs addition.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_array_repeat">array_repeat()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Array Repeat</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_base256_lshift">base256_lshift()</a>
|
|
<span>
|
|
: void </span>
|
|
</dt>
|
|
<dd>Logical Left Shift</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_baseSquare">baseSquare()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs traditional squaring on two BigIntegers</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseAndHelper">bitwiseAndHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical And</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseOrHelper">bitwiseOrHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Or</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseXorHelper">bitwiseXorHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Logical Exclusive Or</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_compareHelper">compareHelper()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Compares two numbers.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_convertToObj">convertToObj()</a>
|
|
<span>
|
|
: static </span>
|
|
</dt>
|
|
<dd>Convert an array / boolean to a PHP BigInteger object</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_extendedGCDHelper">extendedGCDHelper()</a>
|
|
<span>
|
|
: <abbr title="array{gcd: \phpseclib3\Math\BigInteger\Engines\Engine, x: \phpseclib3\Math\BigInteger\Engines\Engine, y: \phpseclib3\Math\BigInteger\Engines\Engine}">Engine}</abbr> </span>
|
|
</dt>
|
|
<dd>Calculates the greatest common divisor and Bezout's identity.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_initialize">initialize()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Initialize a PHP BigInteger Engine instance</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsubaSquare">karatsubaSquare()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs Karatsuba "squaring" on two BigIntegers</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_lshift">lshift()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Logical Left Shift</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_make_odd">make_odd()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Make the current number odd</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_maxHelper">maxHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Return the minimum BigInteger between an arbitrary number of BigIntegers.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minHelper">minHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Return the minimum BigInteger between an arbitrary number of BigIntegers.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_modInverseHelper">modInverseHelper()</a>
|
|
<span>
|
|
: static|false </span>
|
|
</dt>
|
|
<dd>Calculates modular inverses.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_multiplyHelper">multiplyHelper()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs multiplication.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_multiplyReduce">multiplyReduce()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Modular multiply</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_normalize">normalize()</a>
|
|
<span>
|
|
: static </span>
|
|
</dt>
|
|
<dd>Normalize</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_pad">pad()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Pads strings so that unpack may be used on them</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powHelper">powHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Performs exponentiation.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_powModHelper">powModHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Performs modular exponentiation.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powModInner">powModInner()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span>
|
|
</dt>
|
|
<dd>Performs modular exponentiation.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_powModOuter">powModOuter()</a>
|
|
<span>
|
|
: static|false </span>
|
|
</dt>
|
|
<dd>Performs some pre-processing for powMod</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_prepareReduce">prepareReduce()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Modular reduction preparation</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangeHelper">randomRangeHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Generate a random number between a range</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeInner">randomRangePrimeInner()</a>
|
|
<span>
|
|
: static|false </span>
|
|
</dt>
|
|
<dd>Performs some post-processing for randomRangePrime</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeOuter">randomRangePrimeOuter()</a>
|
|
<span>
|
|
: static|false </span>
|
|
</dt>
|
|
<dd>Performs some pre-processing for randomRangePrime</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_reduce">reduce()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Barrett Modular Reduction</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_regularMultiply">regularMultiply()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs long multiplication on two BigIntegers</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootHelper">rootHelper()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Performs a few preliminary checks on root</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootInner">rootInner()</a>
|
|
<span>
|
|
: <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span>
|
|
</dt>
|
|
<dd>Calculates the nth root of a biginteger.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_rshift">rshift()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Logical Right Shift</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setBitmask">setBitmask()</a>
|
|
<span>
|
|
: static </span>
|
|
</dt>
|
|
<dd>Set Bitmask</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setupIsPrime">setupIsPrime()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Sets the $t parameter for primality testing</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_slidingWindow">slidingWindow()</a>
|
|
<span>
|
|
: <abbr title="\phpseclib3\Math\BigInteger\Engines\T">T</abbr> </span>
|
|
</dt>
|
|
<dd>Sliding Window k-ary Modular Exponentiation</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_square">square()</a>
|
|
<span>
|
|
: array<int, static> </span>
|
|
</dt>
|
|
<dd>Performs squaring</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_squareReduce">squareReduce()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Modular square</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testJITOnWindows">testJITOnWindows()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_testPrimality">testPrimality()</a>
|
|
<span>
|
|
: bool </span>
|
|
</dt>
|
|
<dd>Tests Primality</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testSmallPrimes">testSmallPrimes()</a>
|
|
<span>
|
|
: mixed </span>
|
|
</dt>
|
|
<dd>Test the number against small primes.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBytesHelper">toBytesHelper()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts a BigInteger to a byte string (eg. base-256).</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_trim">trim()</a>
|
|
<span>
|
|
: array<int, static> </span>
|
|
</dt>
|
|
<dd>Trim</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_small_split">bitwise_small_split()</a>
|
|
<span>
|
|
: array<int, int> </span>
|
|
</dt>
|
|
<dd>Bitwise Split where $split < static::BASE</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_divide_digit">divide_digit()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Divides a BigInteger by a regular integer</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_int2bytes">int2bytes()</a>
|
|
<span>
|
|
: string </span>
|
|
</dt>
|
|
<dd>Converts 32-bit integers to bytes.</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsuba">karatsuba()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs Karatsuba multiplication on two BigIntegers</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_multiplyLower">multiplyLower()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>Performs long multiplication up to $stop digits</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_regularBarrett">regularBarrett()</a>
|
|
<span>
|
|
: array<string|int, mixed> </span>
|
|
</dt>
|
|
<dd>(Regular) Barrett Modular Reduction</dd>
|
|
|
|
<dt class="phpdocumentor-table-of-contents__entry -method -private">
|
|
<a class="" href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_safe_divide">safe_divide()</a>
|
|
<span>
|
|
: int </span>
|
|
</dt>
|
|
<dd>Single digit division</dd>
|
|
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
<section class="phpdocumentor-constants">
|
|
<h3 class="phpdocumentor-elements__header" id="constants">
|
|
Constants
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#constants" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h3>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_DATA">
|
|
DATA
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_DATA" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">36</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.36" class="phpdocumentor-element-found-in__source" data-line="36" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">$cache[self::DATA] contains the cached data.</p>
|
|
|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">DATA</span>
|
|
= <span class="phpdocumentor-signature__default-value">1</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_ENGINE_DIR">
|
|
ENGINE_DIR
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_ENGINE_DIR" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">64</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.64" class="phpdocumentor-element-found-in__source" data-line="64" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Engine Directory</p>
|
|
|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">ENGINE_DIR</span>
|
|
= <span class="phpdocumentor-signature__default-value">'PHP'</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_ENGINE_DIR#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\parent::setModExpEngine">parent::setModExpEngine</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_FAST_BITWISE">
|
|
FAST_BITWISE
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_FAST_BITWISE" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">57</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.57" class="phpdocumentor-element-found-in__source" data-line="57" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Can Bitwise operations be done fast?</p>
|
|
|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">FAST_BITWISE</span>
|
|
= <span class="phpdocumentor-signature__default-value">true</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_FAST_BITWISE#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\parent::bitwise_leftRotate()">parent::bitwise_leftRotate()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-tag-list__entry">
|
|
<span class="phpdocumentor-tag__name">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\parent::bitwise_rightRotate()">parent::bitwise_rightRotate()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_KARATSUBA_CUTOFF">
|
|
KARATSUBA_CUTOFF
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_KARATSUBA_CUTOFF" class="headerlink"><i class="fas fa-link"></i></a>
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</h4>
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<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
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:
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<span class="phpdocumentor-element-found-in__line">49</span>
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<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.49" class="phpdocumentor-element-found-in__source" data-line="49" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
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</aside>
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<p class="phpdocumentor-summary">Karatsuba Cutoff</p>
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<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
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<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">KARATSUBA_CUTOFF</span>
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|
= <span class="phpdocumentor-signature__default-value">25</span>
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</code>
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<section class="phpdocumentor-description"><p>At what point do we switch between Karatsuba multiplication and schoolbook long multiplication?</p>
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</section>
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</article>
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<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_PRIMES">
|
|
PRIMES
|
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<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#constant_PRIMES" class="headerlink"><i class="fas fa-link"></i></a>
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</h4>
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<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
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:
|
|
<span class="phpdocumentor-element-found-in__line">28</span>
|
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|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.28" class="phpdocumentor-element-found-in__source" data-line="28" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
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</aside>
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<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
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<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">PRIMES</span>
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|
= <span class="phpdocumentor-signature__default-value">[3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997]</span>
|
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</code>
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</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_SIGN">
|
|
SIGN
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_SIGN" class="headerlink"><i class="fas fa-link"></i></a>
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</h4>
|
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|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">40</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.40" class="phpdocumentor-element-found-in__source" data-line="40" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">$result[self::SIGN] contains the sign.</p>
|
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|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">SIGN</span>
|
|
= <span class="phpdocumentor-signature__default-value">1</span>
|
|
</code>
|
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|
|
</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_VALUE">
|
|
VALUE
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_VALUE" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">36</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.36" class="phpdocumentor-element-found-in__source" data-line="36" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">$result[self::VALUE] contains the value.</p>
|
|
|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">VALUE</span>
|
|
= <span class="phpdocumentor-signature__default-value">0</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article class="phpdocumentor-element -constant -public ">
|
|
<h4 class="phpdocumentor-element__name" id="constant_VARIABLE">
|
|
VARIABLE
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_VARIABLE" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">31</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.31" class="phpdocumentor-element-found-in__source" data-line="31" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Cache constants</p>
|
|
|
|
|
|
<code class="phpdocumentor-signature phpdocumentor-code ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">VARIABLE</span>
|
|
= <span class="phpdocumentor-signature__default-value">0</span>
|
|
</code>
|
|
|
|
|
|
<section class="phpdocumentor-description"><p>$cache[self::VARIABLE] tells us whether or not the cached data is still valid.</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
</section>
|
|
|
|
|
|
<section class="phpdocumentor-properties">
|
|
<h3 class="phpdocumentor-elements__header" id="properties">
|
|
Properties
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#properties" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h3>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_bitmask">
|
|
$bitmask
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_bitmask" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">105</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.105" class="phpdocumentor-element-found-in__source" data-line="105" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Precision Bitmask</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type">static|false</span>
|
|
<span class="phpdocumentor-signature__name">$bitmask</span>
|
|
= <span class="phpdocumentor-signature__default-value">false</span></code>
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_bitmask#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\static::setPrecision()">static::setPrecision()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_hex">
|
|
$hex
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_hex" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">121</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.121" class="phpdocumentor-element-found-in__source" data-line="121" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Mode independent value used for serialization.</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type">string</span>
|
|
<span class="phpdocumentor-signature__name">$hex</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_hex#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::__sleep()">self::__sleep()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-tag-list__entry">
|
|
<span class="phpdocumentor-tag__name">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::__wakeup()">self::__wakeup()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_is_negative">
|
|
$is_negative
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_is_negative" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">89</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.89" class="phpdocumentor-element-found-in__source" data-line="89" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Holds the BigInteger's sign</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type">bool</span>
|
|
<span class="phpdocumentor-signature__name">$is_negative</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_isValidEngine">
|
|
$isValidEngine
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_isValidEngine" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">75</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.75" class="phpdocumentor-element-found-in__source" data-line="75" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Engine Validity Flag</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">$isValidEngine</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_modexpEngine">
|
|
$modexpEngine
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_modexpEngine" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">68</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.68" class="phpdocumentor-element-found-in__source" data-line="68" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Modular Exponentiation Engine</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">$modexpEngine</span>
|
|
</code>
|
|
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</article>
|
|
<article
|
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class="
|
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phpdocumentor-element
|
|
-property
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_one">
|
|
$one
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_one" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">54</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.54" class="phpdocumentor-element-found-in__source" data-line="54" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">BigInteger(1)</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">$one</span>
|
|
= <span class="phpdocumentor-signature__default-value">[]</span></code>
|
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</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_precision">
|
|
$precision
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_precision" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">97</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.97" class="phpdocumentor-element-found-in__source" data-line="97" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Precision</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type">int</span>
|
|
<span class="phpdocumentor-signature__name">$precision</span>
|
|
= <span class="phpdocumentor-signature__default-value">-1</span></code>
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_precision#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\static::setPrecision()">static::setPrecision()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_reduce">
|
|
$reduce
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_reduce" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">112</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.112" class="phpdocumentor-element-found-in__source" data-line="112" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Recurring Modulo Function</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type">callable</span>
|
|
<span class="phpdocumentor-signature__name">$reduce</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_two">
|
|
$two
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_two" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">61</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.61" class="phpdocumentor-element-found-in__source" data-line="61" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">BigInteger(2)</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">$two</span>
|
|
= <span class="phpdocumentor-signature__default-value">[]</span></code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_value">
|
|
$value
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_value" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">82</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.82" class="phpdocumentor-element-found-in__source" data-line="82" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Holds the BigInteger's value</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__type"><abbr title="\GMP">GMP</abbr>|string|array<string|int, mixed>|int</span>
|
|
<span class="phpdocumentor-signature__name">$value</span>
|
|
</code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="
|
|
phpdocumentor-element
|
|
-property
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="property_zero">
|
|
$zero
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_zero" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
<span class="phpdocumentor-element__modifiers">
|
|
</span>
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">47</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.47" class="phpdocumentor-element-found-in__source" data-line="47" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">BigInteger(0)</p>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__type">mixed</span>
|
|
<span class="phpdocumentor-signature__name">$zero</span>
|
|
= <span class="phpdocumentor-signature__default-value">[]</span></code>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
</section>
|
|
|
|
<section class="phpdocumentor-methods">
|
|
<h3 class="phpdocumentor-elements__header" id="methods">
|
|
Methods
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#methods" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h3>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method___construct">
|
|
__construct()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method___construct" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">74</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.74" class="phpdocumentor-element-found-in__source" data-line="74" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Default constructor</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">__construct</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">mixed </span><span class="phpdocumentor-signature__argument__name">$x</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">0</span><span> ]</span></span><span class="phpdocumentor-signature__argument"><span>[</span><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$base</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">10</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">mixed</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">0</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
<section class="phpdocumentor-description"><p>integer Base-10 number or base-$base number if $base set.</p>
|
|
</section>
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$base</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">10</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method___construct#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\parent::__construct()">parent::__construct()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method___debugInfo">
|
|
__debugInfo()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___debugInfo" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">403</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.403" class="phpdocumentor-element-found-in__source" data-line="403" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">__debugInfo() magic method</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">__debugInfo</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Will be called, automatically, when print_r() or var_dump() are called</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method___sleep">
|
|
__sleep()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___sleep" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">341</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.341" class="phpdocumentor-element-found-in__source" data-line="341" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Serialize</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">__sleep</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Will be called, automatically, when serialize() is called on a BigInteger object.</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method___toString">
|
|
__toString()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___toString" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">391</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.391" class="phpdocumentor-element-found-in__source" data-line="391" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a base-10 number.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">__toString</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method___wakeup">
|
|
__wakeup()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___wakeup" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">358</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.358" class="phpdocumentor-element-found-in__source" data-line="358" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Serialize</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">__wakeup</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">void</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Will be called, automatically, when unserialize() is called on a BigInteger object.</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_abs">
|
|
abs()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_abs" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">813</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.813" class="phpdocumentor-element-found-in__source" data-line="813" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Absolute value.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">abs</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_leftRotate">
|
|
bitwise_leftRotate()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_leftRotate" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">532</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.532" class="phpdocumentor-element-found-in__source" data-line="532" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Left Rotate</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_leftRotate</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Instead of the top x bits being dropped they're appended to the shifted bit string.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_leftShift">
|
|
bitwise_leftShift()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_leftShift" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">869</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.869" class="phpdocumentor-element-found-in__source" data-line="869" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Left Shift</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_leftShift</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Shifts BigInteger's by $shift bits, effectively multiplying by 2**$shift.</p>
|
|
</section>
|
|
|
|
<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">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_not">
|
|
bitwise_not()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_not" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">463</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.463" class="phpdocumentor-element-found-in__source" data-line="463" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Not</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_not</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a>|string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a>|string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_rightRotate">
|
|
bitwise_rightRotate()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_rightRotate" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">576</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.576" class="phpdocumentor-element-found-in__source" data-line="576" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Right Rotate</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_rightRotate</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Instead of the bottom x bits being dropped they're prepended to the shifted bit string.</p>
|
|
</section>
|
|
|
|
<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">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_rightShift">
|
|
bitwise_rightShift()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_rightShift" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">849</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.849" class="phpdocumentor-element-found-in__source" data-line="849" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Right Shift</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_rightShift</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Shifts BigInteger's by $shift bits, effectively dividing by 2**$shift.</p>
|
|
</section>
|
|
|
|
<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">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_split">
|
|
bitwise_split()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_split" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1222</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1222" class="phpdocumentor-element-found-in__source" data-line="1222" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Bitwise Split</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_split</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$split</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<int, static></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Splits BigInteger's into chunks of $split bits</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$split</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<int, static></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_createRecurringModuloFunction">
|
|
createRecurringModuloFunction()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_createRecurringModuloFunction" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1151</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1151" class="phpdocumentor-element-found-in__source" data-line="1151" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Create Recurring Modulo Function</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">createRecurringModuloFunction</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">callable</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Sometimes it may be desirable to do repeated modulos with the same number outside of
|
|
modular exponentiation</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">callable</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_getLength">
|
|
getLength()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_getLength" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1350</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1350" class="phpdocumentor-element-found-in__source" data-line="1350" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Return the size of a BigInteger in bits</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">getLength</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_getLengthInBytes">
|
|
getLengthInBytes()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getLengthInBytes" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">620</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.620" class="phpdocumentor-element-found-in__source" data-line="620" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Return the size of a BigInteger in bytes</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">getLengthInBytes</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_getPrecision">
|
|
getPrecision()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getPrecision" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">442</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.442" class="phpdocumentor-element-found-in__source" data-line="442" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Get Precision</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">getPrecision</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Returns the precision if it exists, -1 if it doesn't</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_isNegative">
|
|
isNegative()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isNegative" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1194</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1194" class="phpdocumentor-element-found-in__source" data-line="1194" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Is Negative?</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">isNegative</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_isOdd">
|
|
isOdd()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isOdd" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1167</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1167" class="phpdocumentor-element-found-in__source" data-line="1167" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Is Odd?</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">isOdd</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_isPrime">
|
|
isPrime()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_isPrime" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">996</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.996" class="phpdocumentor-element-found-in__source" data-line="996" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Checks a numer to see if it's prime</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">isPrime</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">int|bool </span><span class="phpdocumentor-signature__argument__name">$t</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">false</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Assuming the $t parameter is not set, this function has an error rate of 2**-80. The main motivation for the
|
|
$t parameter is distributability. BigInteger::randomPrime() can be distributed across multiple pageloads
|
|
on a website instead of just one.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$t</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int|bool</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">false</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_isValidEngine">
|
|
isValidEngine()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_isValidEngine" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">43</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.43" class="phpdocumentor-element-found-in__source" data-line="43" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Test for engine validity</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">isValidEngine</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_jsonSerialize">
|
|
jsonSerialize()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_jsonSerialize" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">376</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.376" class="phpdocumentor-element-found-in__source" data-line="376" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">JSON Serialize</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">jsonSerialize</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Will be called, automatically, when json_encode() is called on a BigInteger object.</p>
|
|
</section>
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_jsonSerialize#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">@return</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
|
|
<section class="phpdocumentor-description"><p>array{hex: string, precision?: int]</p>
|
|
</section>
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<section class="phpdocumentor-attributes">
|
|
<h5 class="phpdocumentor-elements__header" id="attributes">
|
|
Attributes <a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_jsonSerialize#attributes" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
#[<abbr title="\ReturnTypeWillChange">ReturnTypeWillChange</abbr>]
|
|
</dt>
|
|
</dl>
|
|
</section>
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_minMaxBits">
|
|
minMaxBits()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minMaxBits" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">587</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.587" class="phpdocumentor-element-found-in__source" data-line="587" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Returns the smallest and largest n-bit number</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">minMaxBits</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$bits</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array{min: static, max: static}</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$bits</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array{min: static, max: static}</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_negate">
|
|
negate()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_negate" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1206</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1206" class="phpdocumentor-element-found-in__source" data-line="1206" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Negate</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">negate</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Given $k, returns -$k</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_random">
|
|
random()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_random" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">741</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.741" class="phpdocumentor-element-found-in__source" data-line="741" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Generates a random number of a certain 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">random</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$size</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Bit length is equal to $size</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$size</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_randomPrime">
|
|
randomPrime()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomPrime" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">759</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.759" class="phpdocumentor-element-found-in__source" data-line="759" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Generates a random prime number of a certain 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">randomPrime</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$size</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Bit length is equal to $size</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$size</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_root">
|
|
root()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_root" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
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<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1102</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1102" class="phpdocumentor-element-found-in__source" data-line="1102" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Calculates the nth root of a biginteger.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">root</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$n</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">2</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
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<div class="phpdocumentor-label-line">
|
|
</div>
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|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">2</span> </dt>
|
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<dd class="phpdocumentor-argument-list__definition">
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|
</dd>
|
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</dl>
|
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|
|
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<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
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</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_scan1divide">
|
|
scan1divide()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_scan1divide" class="headerlink"><i class="fas fa-link"></i></a>
|
|
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|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1125</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1125" class="phpdocumentor-element-found-in__source" data-line="1125" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Scan for 1 and right shift by that amount</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">scan1divide</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$r</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>ie. $s = gmp_scan1($n, 0) and $r = gmp_div_q($n, gmp_pow(gmp_init('2'), $s));</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$r</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_scan1divide#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::isPrime()">self::isPrime()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_setModExpEngine">
|
|
setModExpEngine()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setModExpEngine" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">224</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.224" class="phpdocumentor-element-found-in__source" data-line="224" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Sets engine type.</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">setModExpEngine</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\Engine>">Engine></abbr> </span><span class="phpdocumentor-signature__argument__name">$engine</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Throws an exception if the type is invalid</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$engine</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\Engine>">Engine></abbr></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_setPrecision">
|
|
setPrecision()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setPrecision" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">420</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.420" class="phpdocumentor-element-found-in__source" data-line="420" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Set Precision</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">setPrecision</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$bits</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Some bitwise operations give different results depending on the precision being used. Examples include left
|
|
shift, not, and rotates.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$bits</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_subtractHelper">
|
|
subtractHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_subtractHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">307</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.307" class="phpdocumentor-element-found-in__source" data-line="307" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs subtraction.</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">subtractHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$x_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$y_negative</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_testBit">
|
|
testBit()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testBit" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1177</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1177" class="phpdocumentor-element-found-in__source" data-line="1177" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Tests if a bit is set</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">testBit</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">mixed </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">mixed</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_toBits">
|
|
toBits()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBits" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">284</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.284" class="phpdocumentor-element-found-in__source" data-line="284" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a bit string (eg. base-2).</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">toBits</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$twos_compliment</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">false</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
|
|
saved as two's compliment.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$twos_compliment</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">false</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_toBytes">
|
|
toBytes()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toBytes" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">190</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.190" class="phpdocumentor-element-found-in__source" data-line="190" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a byte string (eg. base-256).</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">toBytes</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$twos_compliment</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">false</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$twos_compliment</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">false</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_toHex">
|
|
toHex()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toHex" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">270</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.270" class="phpdocumentor-element-found-in__source" data-line="270" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a hex string (eg. base-16).</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">toHex</span><span>(</span><span class="phpdocumentor-signature__argument"><span>[</span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$twos_compliment</span><span> = </span><span class="phpdocumentor-signature__argument__default-value">false</span><span> ]</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$twos_compliment</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
= <span class="phpdocumentor-signature__argument__default-value">false</span> </dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-public
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_toString">
|
|
toString()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toString" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">150</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.150" class="phpdocumentor-element-found-in__source" data-line="150" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a base-10 number.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">public</span>
|
|
<span class="phpdocumentor-signature__name">toString</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_addHelper">
|
|
addHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_addHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">222</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.222" class="phpdocumentor-element-found-in__source" data-line="222" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs addition.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">addHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$x_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$y_negative</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_array_repeat">
|
|
array_repeat()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_array_repeat" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">898</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.898" class="phpdocumentor-element-found-in__source" data-line="898" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Array Repeat</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">array_repeat</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$input</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$multiplier</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$input</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$multiplier</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_base256_lshift">
|
|
base256_lshift()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_base256_lshift" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">505</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.505" class="phpdocumentor-element-found-in__source" data-line="505" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Left Shift</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">base256_lshift</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__reference-operator">&</span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">void</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Shifts binary strings $shift bits, essentially multiplying by 2**$shift.</p>
|
|
</section>
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_baseSquare">
|
|
baseSquare()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_baseSquare" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1010</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1010" class="phpdocumentor-element-found-in__source" data-line="1010" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs traditional squaring on two BigIntegers</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">baseSquare</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$value</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
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<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Squaring can be done faster than multiplying a number by itself can be. See
|
|
<a href="http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=7">HAC 14.2.4</a> /
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=141">MPM 5.3</a> for more information.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
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|
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|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwiseAndHelper">
|
|
bitwiseAndHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseAndHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1249</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1249" class="phpdocumentor-element-found-in__source" data-line="1249" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical And</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">bitwiseAndHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwiseOrHelper">
|
|
bitwiseOrHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseOrHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1268</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1268" class="phpdocumentor-element-found-in__source" data-line="1268" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Or</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">bitwiseOrHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwiseXorHelper">
|
|
bitwiseXorHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseXorHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1287</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1287" class="phpdocumentor-element-found-in__source" data-line="1287" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Exclusive Or</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">bitwiseXorHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_compareHelper">
|
|
compareHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_compareHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">783</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.783" class="phpdocumentor-element-found-in__source" data-line="783" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Compares two numbers.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">compareHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$x_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$y_negative</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_compareHelper#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\static::compare()">static::compare()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_convertToObj">
|
|
convertToObj()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_convertToObj" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">728</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.728" class="phpdocumentor-element-found-in__source" data-line="728" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Convert an array / boolean to a PHP BigInteger object</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">convertToObj</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$arr</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$arr</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static</span>
|
|
</section>
|
|
|
|
</article>
|
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<article
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class="phpdocumentor-element
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-method
|
|
-protected
|
|
"
|
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>
|
|
<h4 class="phpdocumentor-element__name" id="method_extendedGCDHelper">
|
|
extendedGCDHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_extendedGCDHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
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</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1180</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1180" class="phpdocumentor-element-found-in__source" data-line="1180" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Calculates the greatest common divisor and Bezout's identity.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">extendedGCDHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><abbr title="array{gcd: \phpseclib3\Math\BigInteger\Engines\Engine, x: \phpseclib3\Math\BigInteger\Engines\Engine, y: \phpseclib3\Math\BigInteger\Engines\Engine}">Engine}</abbr></span></code>
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<div class="phpdocumentor-label-line">
|
|
</div>
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|
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|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
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</dt>
|
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<dd class="phpdocumentor-argument-list__definition">
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</dd>
|
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</dl>
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<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><abbr title="array{gcd: \phpseclib3\Math\BigInteger\Engines\Engine, x: \phpseclib3\Math\BigInteger\Engines\Engine, y: \phpseclib3\Math\BigInteger\Engines\Engine}">Engine}</abbr></span>
|
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</section>
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</article>
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<article
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class="phpdocumentor-element
|
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-method
|
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-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_initialize">
|
|
initialize()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_initialize" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">93</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.93" class="phpdocumentor-element-found-in__source" data-line="93" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Initialize a PHP BigInteger Engine instance</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">initialize</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$base</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$base</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_initialize#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\parent::__construct()">parent::__construct()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_karatsubaSquare">
|
|
karatsubaSquare()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsubaSquare" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1048</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1048" class="phpdocumentor-element-found-in__source" data-line="1048" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs Karatsuba "squaring" on two BigIntegers</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">karatsubaSquare</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$value</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>See <a href="http://en.wikipedia.org/wiki/Karatsuba_algorithm">Karatsuba algorithm</a> and
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=151">MPM 5.3.4</a>.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_lshift">
|
|
lshift()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_lshift" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">910</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.910" class="phpdocumentor-element-found-in__source" data-line="910" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Left Shift</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">lshift</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Shifts BigInteger's by $shift bits.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_make_odd">
|
|
make_odd()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_make_odd" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1083</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1083" class="phpdocumentor-element-found-in__source" data-line="1083" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Make the current number odd</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">make_odd</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>If the current number is odd it'll be unchanged. If it's even, one will be added to it.</p>
|
|
</section>
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_make_odd#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::randomPrime()">self::randomPrime()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_maxHelper">
|
|
maxHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_maxHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1131</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1131" class="phpdocumentor-element-found-in__source" data-line="1131" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Return the minimum BigInteger between an arbitrary number of BigIntegers.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">maxHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$nums</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$nums</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_minHelper">
|
|
minHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1113</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1113" class="phpdocumentor-element-found-in__source" data-line="1113" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Return the minimum BigInteger between an arbitrary number of BigIntegers.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">minHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$nums</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$nums</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_modInverseHelper">
|
|
modInverseHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_modInverseHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">308</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.308" class="phpdocumentor-element-found-in__source" data-line="308" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Calculates modular inverses.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">modInverseHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static|false</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Say you have (30 mod 17 * x mod 17) mod 17 == 1. x can be found using modular inverses.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static|false</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_multiplyHelper">
|
|
multiplyHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_multiplyHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">397</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.397" class="phpdocumentor-element-found-in__source" data-line="397" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs multiplication.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">multiplyHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$x_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$y_negative</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_multiplyReduce">
|
|
multiplyReduce()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_multiplyReduce" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">124</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.124" class="phpdocumentor-element-found-in__source" data-line="124" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Modular multiply</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">multiplyReduce</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_multiplyReduce#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP\self::slidingWindow()">self::slidingWindow()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_normalize">
|
|
normalize()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_normalize" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">745</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.745" class="phpdocumentor-element-found-in__source" data-line="745" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Normalize</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">normalize</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$result</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Removes leading zeros and truncates (if necessary) to maintain the appropriate precision</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$result</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_pad">
|
|
pad()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_pad" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">136</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.136" class="phpdocumentor-element-found-in__source" data-line="136" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Pads strings so that unpack may be used on them</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">pad</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$str</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$str</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_powHelper">
|
|
powHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1147</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1147" class="phpdocumentor-element-found-in__source" data-line="1147" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs exponentiation.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">powHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
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<div class="phpdocumentor-label-line">
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</div>
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|
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<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
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<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
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<dd class="phpdocumentor-argument-list__definition">
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|
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</dd>
|
|
</dl>
|
|
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|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
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|
|
|
</article>
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|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_powModHelper">
|
|
powModHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_powModHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
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|
<span class="phpdocumentor-element-found-in__line">77</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.77" class="phpdocumentor-element-found-in__source" data-line="77" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs modular exponentiation.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">powModHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$e</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>The most naive approach to modular exponentiation has very unreasonable requirements, and
|
|
and although the approach involving repeated squaring does vastly better, it, too, is impractical
|
|
for our purposes. The reason being that division - by far the most complicated and time-consuming
|
|
of the basic operations (eg. +,-,*,/) - occurs multiple times within it.</p>
|
|
<p>Modular reductions resolve this issue. Although an individual modular reduction takes more time
|
|
then an individual division, when performed in succession (with the same modulo), they're a lot faster.</p>
|
|
<p>The two most commonly used modular reductions are Barrett and Montgomery reduction. Montgomery reduction,
|
|
although faster, only works when the gcd of the modulo and of the base being used is 1. In RSA, when the
|
|
base is a power of two, the modulo - a product of two primes - is always going to have a gcd of 1 (because
|
|
the product of two odd numbers is odd), but what about when RSA isn't used?</p>
|
|
<p>In contrast, Barrett reduction has no such constraint. As such, some bigint implementations perform a
|
|
Barrett reduction after every operation in the modpow function. Others perform Barrett reductions when the
|
|
modulo is even and Montgomery reductions when the modulo is odd. BigInteger.java's modPow method, however,
|
|
uses a trick involving the Chinese Remainder Theorem to factor the even modulo into two numbers - one odd and
|
|
the other, a power of two - and recombine them, later. This is the method that this modPow function uses.
|
|
<a href="http://islab.oregonstate.edu/papers/j34monex.pdf">Montgomery Reduction with Even Modulus</a> elaborates.</p>
|
|
</section>
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$e</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_powModInner">
|
|
powModInner()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powModInner" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">977</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.977" class="phpdocumentor-element-found-in__source" data-line="977" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs modular exponentiation.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">powModInner</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$e</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$e</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP">PHP</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_powModOuter">
|
|
powModOuter()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_powModOuter" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">632</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.632" class="phpdocumentor-element-found-in__source" data-line="632" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs some pre-processing for powMod</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">powModOuter</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$e</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static|false</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$e</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static|false</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_prepareReduce">
|
|
prepareReduce()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_prepareReduce" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">109</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.109" class="phpdocumentor-element-found-in__source" data-line="109" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Modular reduction preparation</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">prepareReduce</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_prepareReduce#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP\self::slidingWindow()">self::slidingWindow()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_randomRangeHelper">
|
|
randomRangeHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangeHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">812</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.812" class="phpdocumentor-element-found-in__source" data-line="812" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Generate a random number between a range</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">randomRangeHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$min</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$max</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Returns a random number between $min and $max where $min and $max
|
|
can be defined using one of the two methods:</p>
|
|
<p>BigInteger::randomRange($min, $max)
|
|
BigInteger::randomRange($max, $min)</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$min</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$max</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_randomRangePrimeInner">
|
|
randomRangePrimeInner()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeInner" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">876</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.876" class="phpdocumentor-element-found-in__source" data-line="876" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs some post-processing for randomRangePrime</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">randomRangePrimeInner</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$min</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$max</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static|false</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$min</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$max</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static|false</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_randomRangePrimeOuter">
|
|
randomRangePrimeOuter()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeOuter" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">776</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.776" class="phpdocumentor-element-found-in__source" data-line="776" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs some pre-processing for randomRangePrime</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">randomRangePrimeOuter</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$min</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$max</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static|false</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$min</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$max</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static|false</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_reduce">
|
|
reduce()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_reduce" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-reductions-barrett.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php">Barrett.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">49</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.49" class="phpdocumentor-element-found-in__source" data-line="49" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Barrett Modular Reduction</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">reduce</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$m</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\PHP>">PHP></abbr> </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>See <a href="http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=14">HAC 14.3.3</a> /
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=165">MPM 6.2.5</a> for more information. Modified slightly,
|
|
so as not to require negative numbers (initially, this script didn't support negative numbers).</p>
|
|
<p>Employs "folding", as described at
|
|
<a href="http://www.cosic.esat.kuleuven.be/publications/thesis-149.pdf#page=66">thesis-149.pdf#page=66</a>. To quote from
|
|
it, "the idea [behind folding] is to find a value x' such that x (mod m) = x' (mod m), with x' being smaller than x."</p>
|
|
<p>Unfortunately, the "Barrett Reduction with Folding" algorithm described in thesis-149.pdf is not, as written, all that
|
|
usable on account of (1) its not using reasonable radix points as discussed in
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=162">MPM 6.2.2</a> and (2) the fact that, even with reasonable
|
|
radix points, it only works when there are an even number of digits in the denominator. The reason for (2) is that
|
|
(x >> 1) + (x >> 1) != x / 2 + x / 2. If x is even, they're the same, but if x is odd, they're not. See the in-line
|
|
comments for details.</p>
|
|
</section>
|
|
|
|
<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">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$m</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\PHP>">PHP></abbr></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_regularMultiply">
|
|
regularMultiply()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_regularMultiply" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">474</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.474" class="phpdocumentor-element-found-in__source" data-line="474" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs long multiplication on two BigIntegers</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">regularMultiply</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Modeled after 'multiply' in MutableBigInteger.java.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_rootHelper">
|
|
rootHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1019</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1019" class="phpdocumentor-element-found-in__source" data-line="1019" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs a few preliminary checks on root</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">rootHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_rootInner">
|
|
rootInner()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootInner" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1044</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1044" class="phpdocumentor-element-found-in__source" data-line="1044" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Calculates the nth root of a biginteger.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">rootInner</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Returns the nth root of a positive biginteger, where n defaults to 2</p>
|
|
</section>
|
|
|
|
<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">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_rshift">
|
|
rshift()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_rshift" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">944</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.944" class="phpdocumentor-element-found-in__source" data-line="944" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Logical Right Shift</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">rshift</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$shift</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Shifts BigInteger's by $shift bits.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$shift</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_setBitmask">
|
|
setBitmask()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setBitmask" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">453</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.453" class="phpdocumentor-element-found-in__source" data-line="453" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Set Bitmask</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">setBitmask</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$bits</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">static</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$bits</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setBitmask#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::setPrecision()">self::setPrecision()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">static</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_setupIsPrime">
|
|
setupIsPrime()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setupIsPrime" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">920</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.920" class="phpdocumentor-element-found-in__source" data-line="920" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Sets the $t parameter for primality testing</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">setupIsPrime</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_slidingWindow">
|
|
slidingWindow()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_slidingWindow" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">670</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.670" class="phpdocumentor-element-found-in__source" data-line="670" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Sliding Window k-ary Modular Exponentiation</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">slidingWindow</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$e</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\T>">T></abbr> </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><abbr title="\phpseclib3\Math\BigInteger\Engines\T">T</abbr></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Based on <a href="http://www.cacr.math.uwaterloo.ca/hac/about/chap14.pdf#page=27">HAC 14.85</a> /
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=210">MPM 7.7</a>. In a departure from those algorithims,
|
|
however, this function performs a modular reduction after every multiplication and squaring operation.
|
|
As such, this function has the same preconditions that the reductions being used do.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$e</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html"><abbr title="\phpseclib3\Math\BigInteger\Engines\Engine">Engine</abbr></a></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type"><abbr title="class-string<\phpseclib3\Math\BigInteger\Engines\T>">T></abbr></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_slidingWindow#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">template</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
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|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type"><abbr title="\phpseclib3\Math\BigInteger\Engines\T">T</abbr></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_square">
|
|
square()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_square" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">993</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.993" class="phpdocumentor-element-found-in__source" data-line="993" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs squaring</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">square</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<int, static> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<int, static></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<int, static></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<int, static></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_squareReduce">
|
|
squareReduce()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_squareReduce" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php">Base.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">139</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.139" class="phpdocumentor-element-found-in__source" data-line="139" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Base.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Modular square</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">squareReduce</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$n</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_squareReduce#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP\self::slidingWindow()">self::slidingWindow()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_testJITOnWindows">
|
|
testJITOnWindows()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testJITOnWindows" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1333</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1333" class="phpdocumentor-element-found-in__source" data-line="1333" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">testJITOnWindows</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_testPrimality">
|
|
testPrimality()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_testPrimality" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">952</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.952" class="phpdocumentor-element-found-in__source" data-line="952" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Tests Primality</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">testPrimality</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$t</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Uses the <a href="http://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test">Miller-Rabin primality test</a>.
|
|
See <a href="http://www.cacr.math.uwaterloo.ca/hac/about/chap4.pdf#page=8">HAC 4.24</a> for more info.</p>
|
|
</section>
|
|
|
|
<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">$t</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">bool</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_testSmallPrimes">
|
|
testSmallPrimes()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testSmallPrimes" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1093</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1093" class="phpdocumentor-element-found-in__source" data-line="1093" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Test the number against small primes.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">testSmallPrimes</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testSmallPrimes#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\self::isPrime()">self::isPrime()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_toBytesHelper">
|
|
toBytesHelper()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBytesHelper" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-engine.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php">Engine.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">243</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.243" class="phpdocumentor-element-found-in__source" data-line="243" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/Engine.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts a BigInteger to a byte string (eg. base-256).</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__name">toBytesHelper</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Negative numbers are saved as positive numbers, unless $twos_compliment is set to true, at which point, they're
|
|
saved as two's compliment.</p>
|
|
</section>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-protected
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_trim">
|
|
trim()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_trim" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">829</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.829" class="phpdocumentor-element-found-in__source" data-line="829" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Trim</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">protected</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">trim</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<int, static> </span><span class="phpdocumentor-signature__argument__name">$value</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<int, static></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Removes leading zeros</p>
|
|
</section>
|
|
|
|
<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">$value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<int, static></span>
|
|
</dt>
|
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<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
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|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<int, static></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
|
"
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_bitwise_small_split">
|
|
bitwise_small_split()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_small_split" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">1289</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.1289" class="phpdocumentor-element-found-in__source" data-line="1289" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Bitwise Split where $split < static::BASE</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__name">bitwise_small_split</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$split</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<int, int></span></code>
|
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|
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<div class="phpdocumentor-label-line">
|
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</div>
|
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|
|
|
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<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">$split</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
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|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<int, int></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
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-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_divide_digit">
|
|
divide_digit()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_divide_digit" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">685</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.685" class="phpdocumentor-element-found-in__source" data-line="685" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Divides a BigInteger by a regular integer</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">divide_digit</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$dividend</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$divisor</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>abc / x = a00 / x + b0 / x + c / x</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$dividend</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$divisor</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_int2bytes">
|
|
int2bytes()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_int2bytes" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">886</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.886" class="phpdocumentor-element-found-in__source" data-line="886" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Converts 32-bit integers to bytes.</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">int2bytes</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">string</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
|
|
<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">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">string</span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_karatsuba">
|
|
karatsuba()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsuba" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">434</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.434" class="phpdocumentor-element-found-in__source" data-line="434" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs Karatsuba multiplication on two BigIntegers</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">karatsuba</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>See <a href="http://en.wikipedia.org/wiki/Karatsuba_algorithm">Karatsuba algorithm</a> and
|
|
<a href="http://math.libtomcrypt.com/files/tommath.pdf#page=120">MPM 5.2.3</a>.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_multiplyLower">
|
|
multiplyLower()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_multiplyLower" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-reductions-barrett.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php">Barrett.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">218</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.218" class="phpdocumentor-element-found-in__source" data-line="218" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Performs long multiplication up to $stop digits</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">multiplyLower</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$x_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$y_value</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">bool </span><span class="phpdocumentor-signature__argument__name">$y_negative</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$stop</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>If you're going to be doing array_slice($product->value, 0, $stop), some cycles can be saved.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_value</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y_negative</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">bool</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$stop</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
<h5 class="phpdocumentor-tag-list__heading" id="tags">
|
|
Tags
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_multiplyLower#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">see</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-tag-list__definition">
|
|
<span class="phpdocumentor-tag-link"><abbr title="\phpseclib3\Math\BigInteger\Engines\PHP\Reductions\self::regularBarrett()">self::regularBarrett()</abbr></span>
|
|
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
|
|
|
|
</article>
|
|
<article
|
|
class="phpdocumentor-element
|
|
-method
|
|
-private
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_regularBarrett">
|
|
regularBarrett()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_regularBarrett" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php-reductions-barrett.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php">Barrett.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">144</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.144" class="phpdocumentor-element-found-in__source" data-line="144" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php.txt"></a>
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|
</aside>
|
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|
|
<p class="phpdocumentor-summary">(Regular) Barrett Modular Reduction</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">regularBarrett</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed> </span><span class="phpdocumentor-signature__argument__name">$n</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">string </span><span class="phpdocumentor-signature__argument__name">$class</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array<string|int, mixed></span></code>
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<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>For numbers with more than four digits BigInteger::_barrett() is faster. The difference between that and this
|
|
is that this function does not fold the denominator into a smaller form.</p>
|
|
</section>
|
|
|
|
<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">$x</span>
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: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
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</dt>
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<dd class="phpdocumentor-argument-list__definition">
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</dd>
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<dt class="phpdocumentor-argument-list__entry">
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<span class="phpdocumentor-signature__argument__name">$n</span>
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: <span class="phpdocumentor-signature__argument__return-type">array<string|int, mixed></span>
|
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</dt>
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<dd class="phpdocumentor-argument-list__definition">
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</dd>
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<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$class</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">string</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
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|
</dd>
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</dl>
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<section>
|
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<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">array<string|int, mixed></span>
|
|
</section>
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|
|
|
</article>
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<article
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class="phpdocumentor-element
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-method
|
|
-private
|
|
-static "
|
|
>
|
|
<h4 class="phpdocumentor-element__name" id="method_safe_divide">
|
|
safe_divide()
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_safe_divide" class="headerlink"><i class="fas fa-link"></i></a>
|
|
|
|
</h4>
|
|
<aside class="phpdocumentor-element-found-in">
|
|
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-math-biginteger-engines-php.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php">PHP.php</abbr></a></abbr>
|
|
:
|
|
<span class="phpdocumentor-element-found-in__line">711</span>
|
|
|
|
<a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#source-view.711" class="phpdocumentor-element-found-in__source" data-line="711" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP.php.txt"></a>
|
|
</aside>
|
|
|
|
<p class="phpdocumentor-summary">Single digit division</p>
|
|
|
|
<code class="phpdocumentor-code phpdocumentor-signature ">
|
|
<span class="phpdocumentor-signature__visibility">private</span>
|
|
<span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">safe_divide</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int </span><span class="phpdocumentor-signature__argument__name">$y</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
|
|
|
|
<div class="phpdocumentor-label-line">
|
|
</div>
|
|
|
|
<section class="phpdocumentor-description"><p>Even if int64 is being used the division operator will return a float64 value
|
|
if the dividend is not evenly divisible by the divisor. Since a float64 doesn't
|
|
have the precision of int64 this is a problem so, when int64 is being used,
|
|
we'll guarantee that the dividend is divisible by first subtracting the remainder.</p>
|
|
</section>
|
|
|
|
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
|
|
<dl class="phpdocumentor-argument-list">
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$x</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
<dt class="phpdocumentor-argument-list__entry">
|
|
<span class="phpdocumentor-signature__argument__name">$y</span>
|
|
: <span class="phpdocumentor-signature__argument__return-type">int</span>
|
|
</dt>
|
|
<dd class="phpdocumentor-argument-list__definition">
|
|
|
|
</dd>
|
|
</dl>
|
|
|
|
|
|
|
|
|
|
|
|
<section>
|
|
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
|
|
<span class="phpdocumentor-signature__response_type">int</span>
|
|
</section>
|
|
|
|
</article>
|
|
</section>
|
|
|
|
<div class="phpdocumentor-modal" id="source-view">
|
|
<div class="phpdocumentor-modal-bg" data-exit-button></div>
|
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<div class="phpdocumentor-modal-container">
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<div class="phpdocumentor-modal-content">
|
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<pre style="max-height: 500px; overflow-y: scroll" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Math/BigInteger/Engines/PHP/Reductions/Barrett.php.txt" class="language-php line-numbers linkable-line-numbers"></pre>
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</div>
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<button data-exit-button class="phpdocumentor-modal__close">×</button>
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</div>
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</div>
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<script type="text/javascript">
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(function () {
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function loadExternalCodeSnippet(el, url, line) {
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Array.prototype.slice.call(el.querySelectorAll('pre[data-src]')).forEach((pre) => {
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const src = url || pre.getAttribute('data-src').replace(/\\/g, '/');
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const language = 'php';
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const code = document.createElement('code');
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code.className = 'language-' + language;
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pre.textContent = '';
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pre.setAttribute('data-line', line)
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code.textContent = 'Loading…';
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pre.appendChild(code);
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var xhr = new XMLHttpRequest();
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xhr.open('GET', src, true);
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xhr.onreadystatechange = function () {
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if (xhr.readyState !== 4) {
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return;
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}
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if (xhr.status < 400 && xhr.responseText) {
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code.textContent = xhr.responseText;
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Prism.highlightElement(code);
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return;
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}
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if (xhr.status === 404) {
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code.textContent = '✖ Error: File could not be found';
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return;
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}
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if (xhr.status >= 400) {
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code.textContent = '✖ Error ' + xhr.status + ' while fetching file: ' + xhr.statusText;
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return;
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}
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code.textContent = '✖ Error: An unknown error occurred';
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xhr.send(null);
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const modalButtons = document.querySelectorAll("[data-modal]");
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const openedAsLocalFile = window.location.protocol === 'file:';
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if (modalButtons.length > 0 && openedAsLocalFile) {
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console.warn(
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'Viewing the source code is unavailable because you are opening this page from the file:// scheme; ' +
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'browsers block XHR requests when a page is opened this way'
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modalButtons.forEach(function (trigger) {
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if (openedAsLocalFile) {
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trigger.setAttribute("hidden", "hidden");
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}
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trigger.addEventListener("click", function (event) {
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event.preventDefault();
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const modal = document.getElementById(trigger.dataset.modal);
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if (!modal) {
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console.error(`Modal with id "${trigger.dataset.modal}" could not be found`);
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return;
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modal.classList.add("phpdocumentor-modal__open");
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loadExternalCodeSnippet(modal, trigger.dataset.src || null, trigger.dataset.line)
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const exits = modal.querySelectorAll("[data-exit-button]");
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exits.forEach(function (exit) {
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exit.addEventListener("click", function (event) {
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event.preventDefault();
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modal.classList.remove("phpdocumentor-modal__open");
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})();
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</script>
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</article>
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</section>
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<section class="phpdocumentor-on-this-page__sidebar">
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<section class="phpdocumentor-on-this-page__content">
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<strong class="phpdocumentor-on-this-page__title">On this page</strong>
|
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<ul class="phpdocumentor-list -clean">
|
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<li class="phpdocumentor-on-this-page-section__title">Table Of Contents</li>
|
|
<li>
|
|
<ul class="phpdocumentor-list -clean">
|
|
<li><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-constants">Constants</a></li>
|
|
<li><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-properties">Properties</a></li>
|
|
<li><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#toc-methods">Methods</a></li>
|
|
</ul>
|
|
</li>
|
|
<li class="phpdocumentor-on-this-page-section__title">Constants</li>
|
|
<li>
|
|
<ul class="phpdocumentor-list -clean">
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_DATA">DATA</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_ENGINE_DIR">ENGINE_DIR</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_FAST_BITWISE">FAST_BITWISE</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_KARATSUBA_CUTOFF">KARATSUBA_CUTOFF</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#constant_PRIMES">PRIMES</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_SIGN">SIGN</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#constant_VALUE">VALUE</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#constant_VARIABLE">VARIABLE</a></li>
|
|
</ul>
|
|
</li>
|
|
|
|
<li class="phpdocumentor-on-this-page-section__title">Properties</li>
|
|
<li>
|
|
<ul class="phpdocumentor-list -clean">
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_bitmask">$bitmask</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_hex">$hex</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_is_negative">$is_negative</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_isValidEngine">$isValidEngine</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_modexpEngine">$modexpEngine</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_one">$one</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_precision">$precision</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_reduce">$reduce</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_two">$two</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_value">$value</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#property_zero">$zero</a></li>
|
|
</ul>
|
|
</li>
|
|
|
|
<li class="phpdocumentor-on-this-page-section__title">Methods</li>
|
|
<li>
|
|
<ul class="phpdocumentor-list -clean">
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method___construct">__construct()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___debugInfo">__debugInfo()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___sleep">__sleep()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___toString">__toString()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method___wakeup">__wakeup()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_abs">abs()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_leftRotate">bitwise_leftRotate()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_leftShift">bitwise_leftShift()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_not">bitwise_not()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwise_rightRotate">bitwise_rightRotate()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_rightShift">bitwise_rightShift()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_split">bitwise_split()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_createRecurringModuloFunction">createRecurringModuloFunction()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_getLength">getLength()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getLengthInBytes">getLengthInBytes()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_getPrecision">getPrecision()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isNegative">isNegative()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_isOdd">isOdd()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_isPrime">isPrime()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_isValidEngine">isValidEngine()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_jsonSerialize">jsonSerialize()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minMaxBits">minMaxBits()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_negate">negate()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_random">random()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomPrime">randomPrime()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_root">root()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_scan1divide">scan1divide()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setModExpEngine">setModExpEngine()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setPrecision">setPrecision()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_subtractHelper">subtractHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testBit">testBit()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBits">toBits()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toBytes">toBytes()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toHex">toHex()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_toString">toString()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_addHelper">addHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_array_repeat">array_repeat()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_base256_lshift">base256_lshift()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_baseSquare">baseSquare()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseAndHelper">bitwiseAndHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseOrHelper">bitwiseOrHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_bitwiseXorHelper">bitwiseXorHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_compareHelper">compareHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_convertToObj">convertToObj()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_extendedGCDHelper">extendedGCDHelper()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_initialize">initialize()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsubaSquare">karatsubaSquare()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_lshift">lshift()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_make_odd">make_odd()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_maxHelper">maxHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_minHelper">minHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_modInverseHelper">modInverseHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_multiplyHelper">multiplyHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_multiplyReduce">multiplyReduce()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_normalize">normalize()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_pad">pad()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powHelper">powHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_powModHelper">powModHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_powModInner">powModInner()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_powModOuter">powModOuter()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_prepareReduce">prepareReduce()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangeHelper">randomRangeHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeInner">randomRangePrimeInner()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_randomRangePrimeOuter">randomRangePrimeOuter()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_reduce">reduce()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_regularMultiply">regularMultiply()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootHelper">rootHelper()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_rootInner">rootInner()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_rshift">rshift()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setBitmask">setBitmask()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_setupIsPrime">setupIsPrime()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_slidingWindow">slidingWindow()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_square">square()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Base.html#method_squareReduce">squareReduce()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testJITOnWindows">testJITOnWindows()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_testPrimality">testPrimality()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_testSmallPrimes">testSmallPrimes()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-Engine.html#method_toBytesHelper">toBytesHelper()</a></li>
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|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_trim">trim()</a></li>
|
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_bitwise_small_split">bitwise_small_split()</a></li>
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_divide_digit">divide_digit()</a></li>
|
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_int2bytes">int2bytes()</a></li>
|
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_karatsuba">karatsuba()</a></li>
|
|
<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_multiplyLower">multiplyLower()</a></li>
|
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP-Reductions-Barrett.html#method_regularBarrett">regularBarrett()</a></li>
|
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<li class=""><a href="classes/phpseclib3-Math-BigInteger-Engines-PHP.html#method_safe_divide">safe_divide()</a></li>
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</ul>
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