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</ul>
<article class="phpdocumentor-element -class">
<h2 class="phpdocumentor-content__title">
KoblitzPrime
<span class="phpdocumentor-element__extends">
extends <a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html"><abbr title="\phpseclib3\Crypt\EC\BaseCurves\Prime">Prime</abbr></a>
</span>
<div class="phpdocumentor-element__package">
in package
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</ul>
</div>
</h2>
<div class="phpdocumentor-label-line">
</div>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">39</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.39" class="phpdocumentor-element-found-in__source" data-line="39" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Curves over y^2 = x^3 + b</p>
<h5 class="phpdocumentor-tag-list__heading" id="tags">
Tags
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#tags" class="headerlink"><i class="fas fa-link"></i></a>
</h5>
<dl class="phpdocumentor-tag-list">
<dt class="phpdocumentor-tag-list__entry">
<span class="phpdocumentor-tag__name">author</span>
</dt>
<dd class="phpdocumentor-tag-list__definition">
<section class="phpdocumentor-description"><p>Jim Wigginton <a href="mailto:terrafrost@php.net">terrafrost@php.net</a></p>
</section>
</dd>
</dl>
<h3 id="toc">
Table of Contents
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#toc" class="headerlink"><i class="fas fa-link"></i></a>
</h3>
<h4 id="toc-properties">
Properties
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#toc-properties" class="headerlink"><i class="fas fa-link"></i></a>
</h4>
<dl class="phpdocumentor-table-of-contents">
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_a">$a</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Cofficient for x^1</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_b">$b</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Cofficient for x^0</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_basis">$basis</a>
<span>
&nbsp;: array&lt;int, <abbr title="array{a: \phpseclib3\Math\BigInteger, b: \phpseclib3\Math\BigInteger}">BigInteger}</abbr>&gt; </span>
</dt>
<dd>Basis</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_beta">$beta</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a> </span>
</dt>
<dd>Beta</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_eight">$eight</a>
<span>
&nbsp;: object </span>
</dt>
<dd>The number eight over the specified finite field</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_factory">$factory</a>
<span>
&nbsp;: <abbr title="\phpseclib3\Math\PrimeFields">PrimeFields</abbr> </span>
</dt>
<dd>Prime Field Integer factory</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_four">$four</a>
<span>
&nbsp;: object </span>
</dt>
<dd>The number four over the specified finite field</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_modulo">$modulo</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a> </span>
</dt>
<dd>The modulo</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_one">$one</a>
<span>
&nbsp;: object </span>
</dt>
<dd>The number one over the specified finite field</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_order">$order</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a> </span>
</dt>
<dd>The Order</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_p">$p</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Base Point</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_three">$three</a>
<span>
&nbsp;: object </span>
</dt>
<dd>The number three over the specified finite field</dd>
<dt class="phpdocumentor-table-of-contents__entry -property -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_two">$two</a>
<span>
&nbsp;: object </span>
</dt>
<dd>The number two over the specified finite field</dd>
</dl>
<h4 id="toc-methods">
Methods
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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-Crypt-EC-BaseCurves-Prime.html#method_addPoint">addPoint()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Adds two points on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_convertInteger">convertInteger()</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Converts a BigInteger to a \phpseclib3\Math\FiniteField\Integer integer</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToAffine">convertToAffine()</a>
<span>
&nbsp;: array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt; </span>
</dt>
<dd>Returns the affine point</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToInternal">convertToInternal()</a>
<span>
&nbsp;: array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt; </span>
</dt>
<dd>Converts an affine point to a jacobian coordinate</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_createRandomMultiplier">createRandomMultiplier()</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a> </span>
</dt>
<dd>Creates a random scalar multiplier</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_derivePoint">derivePoint()</a>
<span>
&nbsp;: array&lt;string|int, mixed&gt; </span>
</dt>
<dd>Returns the X coordinate and the derived Y coordinate</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_doublePoint">doublePoint()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Doubles a point on a curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getA">getA()</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a> </span>
</dt>
<dd>Returns the a coefficient</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getB">getB()</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a> </span>
</dt>
<dd>Returns the a coefficient</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getBasePoint">getBasePoint()</a>
<span>
&nbsp;: array&lt;string|int, mixed&gt; </span>
</dt>
<dd>Retrieve the base point as an array</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getLength">getLength()</a>
<span>
&nbsp;: int </span>
</dt>
<dd>Returns the length, in bits, of the modulo</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getLengthInBytes">getLengthInBytes()</a>
<span>
&nbsp;: int </span>
</dt>
<dd>Returns the length, in bytes, of the modulo</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getModulo">getModulo()</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a> </span>
</dt>
<dd>Returns the modulo</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getOrder">getOrder()</a>
<span>
&nbsp;: <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a> </span>
</dt>
<dd>Returns the Order</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_multiplyAddPoints">multiplyAddPoints()</a>
<span>
&nbsp;: array&lt;string|int, int&gt; </span>
</dt>
<dd>Multiply and Add Points</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_multiplyPoint">multiplyPoint()</a>
<span>
&nbsp;: array&lt;string|int, mixed&gt; </span>
</dt>
<dd>Multiply a point on the curve by a scalar</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_negatePoint">negatePoint()</a>
<span>
&nbsp;: array&lt;string|int, object&gt; </span>
</dt>
<dd>Negates a point</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_randomInteger">randomInteger()</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Returns a random integer</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_rangeCheck">rangeCheck()</a>
<span>
&nbsp;: mixed </span>
</dt>
<dd>Performs range check</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setBasePoint">setBasePoint()</a>
<span>
&nbsp;: array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt; </span>
</dt>
<dd>Set x and y coordinates for the base point</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setCoefficients">setCoefficients()</a>
<span>
&nbsp;: mixed </span>
</dt>
<dd>Set coefficients a and b</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setModulo">setModulo()</a>
<span>
&nbsp;: mixed </span>
</dt>
<dd>Sets the modulo</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setOrder">setOrder()</a>
<span>
&nbsp;: mixed </span>
</dt>
<dd>Sets the Order</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setReduction">setReduction()</a>
<span>
&nbsp;: object </span>
</dt>
<dd>Use a custom defined modular reduction function</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -public">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_verifyPoint">verifyPoint()</a>
<span>
&nbsp;: bool </span>
</dt>
<dd>Tests whether or not the x / y values satisfy the equation</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_doublePointHelper">doublePointHelper()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Returns the numerator and denominator of the slope</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_extendedGCD">extendedGCD()</a>
<span>
&nbsp;: array&lt;string|int, <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&gt; </span>
</dt>
<dd>Calculates the parameters needed from the Euclidean algorithm as discussed at
http://diamond.boisestate.edu/~liljanab/MATH308/GuideToECC.pdf#page=148</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPoint">jacobianAddPoint()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Adds two jacobian coordinates on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedX">jacobianAddPointMixedX()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Adds one &quot;fresh&quot; jacobian form on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedXY">jacobianAddPointMixedXY()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Adds two &quot;fresh&quot; jacobian form on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePoint">jacobianDoublePoint()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Doubles a jacobian coordinate on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -protected">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePointMixed">jacobianDoublePointMixed()</a>
<span>
&nbsp;: array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt; </span>
</dt>
<dd>Doubles a &quot;fresh&quot; jacobian coordinate on the curve</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -private">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getJSFPoints">getJSFPoints()</a>
<span>
&nbsp;: array&lt;string|int, int&gt; </span>
</dt>
<dd>Precomputes points in Joint Sparse Form</dd>
<dt class="phpdocumentor-table-of-contents__entry -method -private">
<a class="" href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getNAFPoints">getNAFPoints()</a>
<span>
&nbsp;: array&lt;string|int, int&gt; </span>
</dt>
<dd>Precomputes NAF points</dd>
</dl>
<section class="phpdocumentor-properties">
<h3 class="phpdocumentor-elements__header" id="properties">
Properties
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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_a">
$a
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_a" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">49</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.49" class="phpdocumentor-element-found-in__source" data-line="49" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Cofficient for x^1</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$a</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_b">
$b
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_b" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">56</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.56" class="phpdocumentor-element-found-in__source" data-line="56" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Cofficient for x^0</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$b</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_basis">
$basis
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_basis" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">46</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.46" class="phpdocumentor-element-found-in__source" data-line="46" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Basis</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">array&lt;int, <abbr title="array{a: \phpseclib3\Math\BigInteger, b: \phpseclib3\Math\BigInteger}">BigInteger}</abbr>&gt;</span>
<span class="phpdocumentor-signature__name">$basis</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_beta">
$beta
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_beta" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">53</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.53" class="phpdocumentor-element-found-in__source" data-line="53" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Beta</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type"><a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a></span>
<span class="phpdocumentor-signature__name">$beta</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_eight">
$eight
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_eight" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">98</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.98" class="phpdocumentor-element-found-in__source" data-line="98" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The number eight over the specified finite field</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$eight</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_factory">
$factory
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_factory" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">42</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.42" class="phpdocumentor-element-found-in__source" data-line="42" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Prime Field Integer factory</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type"><abbr title="\phpseclib3\Math\PrimeFields">PrimeFields</abbr></span>
<span class="phpdocumentor-signature__name">$factory</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_four">
$four
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_four" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">91</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.91" class="phpdocumentor-element-found-in__source" data-line="91" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The number four over the specified finite field</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$four</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_modulo">
$modulo
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_modulo" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">105</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.105" class="phpdocumentor-element-found-in__source" data-line="105" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The modulo</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
<span class="phpdocumentor-signature__name">$modulo</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_one">
$one
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_one" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">70</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.70" class="phpdocumentor-element-found-in__source" data-line="70" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The number one over the specified finite field</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$one</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_order">
$order
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_order" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">112</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.112" class="phpdocumentor-element-found-in__source" data-line="112" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The Order</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
<span class="phpdocumentor-signature__name">$order</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_p">
$p
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_p" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">63</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.63" class="phpdocumentor-element-found-in__source" data-line="63" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Base Point</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$p</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_three">
$three
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_three" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">84</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.84" class="phpdocumentor-element-found-in__source" data-line="84" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The number three over the specified finite field</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$three</span>
</code>
</article>
<article
class="
phpdocumentor-element
-property
-protected
"
>
<h4 class="phpdocumentor-element__name" id="property_two">
$two
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_two" class="headerlink"><i class="fas fa-link"></i></a>
<span class="phpdocumentor-element__modifiers">
</span>
</h4>
<aside class="phpdocumentor-element-found-in">
<abbr class="phpdocumentor-element-found-in__file" title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">77</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.77" class="phpdocumentor-element-found-in__source" data-line="77" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">The number two over the specified finite field</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__type">object</span>
<span class="phpdocumentor-signature__name">$two</span>
</code>
</article>
</section>
<section class="phpdocumentor-methods">
<h3 class="phpdocumentor-elements__header" id="methods">
Methods
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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_addPoint">
addPoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_addPoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">295</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.295" class="phpdocumentor-element-found-in__source" data-line="295" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Adds two points on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">addPoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$q</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</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">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$q</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_convertInteger">
convertInteger()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_convertInteger" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">54</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Converts a BigInteger to a \phpseclib3\Math\FiniteField\Integer integer</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">convertInteger</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">object</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$x</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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">object</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_convertToAffine">
convertToAffine()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToAffine" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">756</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.756" class="phpdocumentor-element-found-in__source" data-line="756" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the affine point</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">convertToAffine</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>A Jacobian Coordinate is of the form (x, y, z).
To convert a Jacobian Coordinate to an Affine Point
you do (x / z^2, y / z^3)</p>
</section>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_convertToInternal">
convertToInternal()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToInternal" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">775</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.775" class="phpdocumentor-element-found-in__source" data-line="775" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Converts an affine point to a jacobian coordinate</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">convertToInternal</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_createRandomMultiplier">
createRandomMultiplier()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_createRandomMultiplier" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">111</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.111" class="phpdocumentor-element-found-in__source" data-line="111" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Creates a random scalar multiplier</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">createRandomMultiplier</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_derivePoint">
derivePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_derivePoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">440</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.440" class="phpdocumentor-element-found-in__source" data-line="440" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the X coordinate and the derived Y coordinate</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">derivePoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">mixed&nbsp;</span><span class="phpdocumentor-signature__argument__name">$m</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, mixed&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$m</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">array&lt;string|int, mixed&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_doublePoint">
doublePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_doublePoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">407</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.407" class="phpdocumentor-element-found-in__source" data-line="407" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Doubles a point on a curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">doublePoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_getA">
getA()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getA" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">498</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.498" class="phpdocumentor-element-found-in__source" data-line="498" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the a coefficient</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">getA</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</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-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a></span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_getB">
getB()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getB" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">508</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.508" class="phpdocumentor-element-found-in__source" data-line="508" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the a coefficient</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">getB</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</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-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a></span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_getBasePoint">
getBasePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getBasePoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">170</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.170" class="phpdocumentor-element-found-in__source" data-line="170" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Retrieve the base point as an array</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">getBasePoint</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, mixed&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">array&lt;string|int, mixed&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_getLength">
getLength()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">74</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the length, in bits, of the modulo</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-Crypt-EC-BaseCurves-Base.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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">64</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the length, in bytes, of the modulo</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_getModulo">
getModulo()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getModulo" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">488</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.488" class="phpdocumentor-element-found-in__source" data-line="488" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the modulo</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">getModulo</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_getOrder">
getOrder()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getOrder" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">152</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.152" class="phpdocumentor-element-found-in__source" data-line="152" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the Order</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">getOrder</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_multiplyAddPoints">
multiplyAddPoints()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_multiplyAddPoints" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">69</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.69" class="phpdocumentor-element-found-in__source" data-line="69" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Multiply and Add Points</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">multiplyAddPoints</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$points</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$scalars</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, int&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>Uses a efficiently computable endomorphism to achieve a slight speedup</p>
<p>Adapted from:
https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/curve/short.js#L219</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">$points</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$scalars</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, int&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_multiplyPoint">
multiplyPoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_multiplyPoint" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">89</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Multiply a point on the curve by a scalar</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">multiplyPoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$d</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, mixed&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>Uses the montgomery ladder technique as described here:</p>
<p>https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication#Montgomery_ladder
https://github.com/phpecc/phpecc/issues/16#issuecomment-59176772</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">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$d</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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">array&lt;string|int, mixed&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_negatePoint">
negatePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_negatePoint" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">192</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.192" class="phpdocumentor-element-found-in__source" data-line="192" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Negates a point</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">negatePoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, object&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, object&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_randomInteger">
randomInteger()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_randomInteger" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">44</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.44" class="phpdocumentor-element-found-in__source" data-line="44" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns a random integer</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">randomInteger</span><span>(</span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">object</span></code>
<div class="phpdocumentor-label-line">
</div>
<section>
<h5 class="phpdocumentor-return-value__heading">Return values</h5>
<span class="phpdocumentor-signature__response_type">object</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_rangeCheck">
rangeCheck()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_rangeCheck" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">124</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Performs range check</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">rangeCheck</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$x</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$x</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
</dl>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_setBasePoint">
setBasePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setBasePoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">148</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.148" class="phpdocumentor-element-found-in__source" data-line="148" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Set x and y coordinates for the base point</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">setBasePoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>|<a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$x</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>|<a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$y</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</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">$x</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>|<a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$y</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>|<a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</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">array&lt;string|int, <a href="classes/phpseclib3-Math-PrimeField-Integer.html"><abbr title="\phpseclib3\Math\PrimeField\Integer">Integer</abbr></a>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_setCoefficients">
setCoefficients()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setCoefficients" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">132</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.132" class="phpdocumentor-element-found-in__source" data-line="132" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Set coefficients a and b</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">setCoefficients</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</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">$a</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$b</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
</dl>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_setModulo">
setModulo()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setModulo" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">117</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.117" class="phpdocumentor-element-found-in__source" data-line="117" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Sets the modulo</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">setModulo</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$modulo</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$modulo</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
</dl>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_setOrder">
setOrder()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setOrder" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">142</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.142" class="phpdocumentor-element-found-in__source" data-line="142" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Sets the Order</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">setOrder</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$order</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">mixed</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$order</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
</dl>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_setReduction">
setReduction()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setReduction" 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/Crypt/EC/BaseCurves/Base.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-base.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php">Base.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">162</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.162" class="phpdocumentor-element-found-in__source" data-line="162" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Base.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Use a custom defined modular reduction function</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">setReduction</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">callable&nbsp;</span><span class="phpdocumentor-signature__argument__name">$func</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">object</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$func</span>
: <span class="phpdocumentor-signature__argument__return-type">callable</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">object</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-public
"
>
<h4 class="phpdocumentor-element__name" id="method_verifyPoint">
verifyPoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_verifyPoint" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">251</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.251" class="phpdocumentor-element-found-in__source" data-line="251" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Tests whether or not the x / y values satisfy the equation</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">public</span>
<span class="phpdocumentor-signature__name">verifyPoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">bool</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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_doublePointHelper">
doublePointHelper()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_doublePointHelper" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">190</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Returns the numerator and denominator of the slope</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">doublePointHelper</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
-static "
>
<h4 class="phpdocumentor-element__name" id="method_extendedGCD">
extendedGCD()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_extendedGCD" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">269</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.269" class="phpdocumentor-element-found-in__source" data-line="269" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Calculates the parameters needed from the Euclidean algorithm as discussed at
http://diamond.boisestate.edu/~liljanab/MATH308/GuideToECC.pdf#page=148</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">extendedGCD</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$u</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$v</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&gt;</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">$u</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$v</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</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">array&lt;string|int, <a href="classes/phpseclib3-Math-BigInteger.html"><abbr title="\phpseclib3\Math\BigInteger">BigInteger</abbr></a>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
"
>
<h4 class="phpdocumentor-element__name" id="method_jacobianAddPoint">
jacobianAddPoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPoint" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">256</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.256" class="phpdocumentor-element-found-in__source" data-line="256" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Adds two jacobian coordinates on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">jacobianAddPoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$q</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</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">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$q</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
"
>
<h4 class="phpdocumentor-element__name" id="method_jacobianAddPointMixedX">
jacobianAddPointMixedX()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedX" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">220</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.220" class="phpdocumentor-element-found-in__source" data-line="220" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Adds one &quot;fresh&quot; jacobian form on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">jacobianAddPointMixedX</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$q</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>The second parameter should be the &quot;fresh&quot; 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">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$q</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
"
>
<h4 class="phpdocumentor-element__name" id="method_jacobianAddPointMixedXY">
jacobianAddPointMixedXY()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedXY" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">188</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.188" class="phpdocumentor-element-found-in__source" data-line="188" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Adds two &quot;fresh&quot; jacobian form on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">jacobianAddPointMixedXY</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$q</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</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">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$q</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
"
>
<h4 class="phpdocumentor-element__name" id="method_jacobianDoublePoint">
jacobianDoublePoint()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePoint" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">204</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.204" class="phpdocumentor-element-found-in__source" data-line="204" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Doubles a jacobian coordinate on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">jacobianDoublePoint</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l</p>
</section>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-protected
"
>
<h4 class="phpdocumentor-element__name" id="method_jacobianDoublePointMixed">
jacobianDoublePointMixed()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePointMixed" 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/Crypt/EC/BaseCurves/KoblitzPrime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-koblitzprime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php">KoblitzPrime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">229</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.229" class="phpdocumentor-element-found-in__source" data-line="229" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Doubles a &quot;fresh&quot; jacobian coordinate on the curve</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">protected</span>
<span class="phpdocumentor-signature__name">jacobianDoublePointMixed</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$p</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-mdbl-2007-bl</p>
</section>
<h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
<dl class="phpdocumentor-argument-list">
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$p</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</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&lt;string|int, <abbr title="\phpseclib3\Crypt\EC\BaseCurves\FiniteField">FiniteField</abbr>&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-private
-static "
>
<h4 class="phpdocumentor-element__name" id="method_getJSFPoints">
getJSFPoints()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getJSFPoints" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">685</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.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/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Precomputes points in Joint Sparse Form</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">getJSFPoints</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-Common-FiniteField-Integer.html"><abbr title="\phpseclib3\Math\Common\FiniteField\Integer">Integer</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$k1</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-Common-FiniteField-Integer.html"><abbr title="\phpseclib3\Math\Common\FiniteField\Integer">Integer</abbr></a>&nbsp;</span><span class="phpdocumentor-signature__argument__name">$k2</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, int&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>Adapted from:
https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/utils.js#L96</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">$k1</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-Common-FiniteField-Integer.html"><abbr title="\phpseclib3\Math\Common\FiniteField\Integer">Integer</abbr></a></span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$k2</span>
: <span class="phpdocumentor-signature__argument__return-type"><a href="classes/phpseclib3-Math-Common-FiniteField-Integer.html"><abbr title="\phpseclib3\Math\Common\FiniteField\Integer">Integer</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">array&lt;string|int, int&gt;</span>
</section>
</article>
<article
class="phpdocumentor-element
-method
-private
"
>
<h4 class="phpdocumentor-element__name" id="method_getNAFPoints">
getNAFPoints()
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getNAFPoints" 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/Crypt/EC/BaseCurves/Prime.php"><a href="files/libs-phpseclib-vendor-phpseclib-phpseclib-phpseclib-crypt-ec-basecurves-prime.html"><abbr title="libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php">Prime.php</abbr></a></abbr>
:
<span class="phpdocumentor-element-found-in__line">648</span>
<a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#source-view.648" class="phpdocumentor-element-found-in__source" data-line="648" data-modal="source-view" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/Prime.php.txt"></a>
</aside>
<p class="phpdocumentor-summary">Precomputes NAF points</p>
<code class="phpdocumentor-code phpdocumentor-signature ">
<span class="phpdocumentor-signature__visibility">private</span>
<span class="phpdocumentor-signature__name">getNAFPoints</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;&nbsp;</span><span class="phpdocumentor-signature__argument__name">$point</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">mixed&nbsp;</span><span class="phpdocumentor-signature__argument__name">$wnd</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">array&lt;string|int, int&gt;</span></code>
<div class="phpdocumentor-label-line">
</div>
<section class="phpdocumentor-description"><p>Adapted from:
https://github.com/indutny/elliptic/blob/725bd91/lib/elliptic/curve/base.js#L351</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">$point</span>
: <span class="phpdocumentor-signature__argument__return-type">array&lt;string|int, mixed&gt;</span>
</dt>
<dd class="phpdocumentor-argument-list__definition">
</dd>
<dt class="phpdocumentor-argument-list__entry">
<span class="phpdocumentor-signature__argument__name">$wnd</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>
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<pre style="max-height: 500px; overflow-y: scroll" data-src="files/libs/phpseclib/vendor/phpseclib/phpseclib/phpseclib/Crypt/EC/BaseCurves/KoblitzPrime.php.txt" class="language-php line-numbers linkable-line-numbers"></pre>
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<strong class="phpdocumentor-on-this-page__title">On this page</strong>
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<li class="phpdocumentor-on-this-page-section__title">Table Of Contents</li>
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<li><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#toc-properties">Properties</a></li>
<li><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#toc-methods">Methods</a></li>
</ul>
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<li class="phpdocumentor-on-this-page-section__title">Properties</li>
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<ul class="phpdocumentor-list -clean">
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_a">$a</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_b">$b</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_basis">$basis</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#property_beta">$beta</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_eight">$eight</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_factory">$factory</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_four">$four</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_modulo">$modulo</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_one">$one</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_order">$order</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_p">$p</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_three">$three</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#property_two">$two</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-Crypt-EC-BaseCurves-Prime.html#method_addPoint">addPoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_convertInteger">convertInteger()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToAffine">convertToAffine()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_convertToInternal">convertToInternal()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_createRandomMultiplier">createRandomMultiplier()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_derivePoint">derivePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_doublePoint">doublePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getA">getA()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getB">getB()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getBasePoint">getBasePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getLength">getLength()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getLengthInBytes">getLengthInBytes()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getModulo">getModulo()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_getOrder">getOrder()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_multiplyAddPoints">multiplyAddPoints()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_multiplyPoint">multiplyPoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_negatePoint">negatePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_randomInteger">randomInteger()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_rangeCheck">rangeCheck()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setBasePoint">setBasePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setCoefficients">setCoefficients()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_setModulo">setModulo()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setOrder">setOrder()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Base.html#method_setReduction">setReduction()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_verifyPoint">verifyPoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_doublePointHelper">doublePointHelper()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_extendedGCD">extendedGCD()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPoint">jacobianAddPoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedX">jacobianAddPointMixedX()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_jacobianAddPointMixedXY">jacobianAddPointMixedXY()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePoint">jacobianDoublePoint()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-KoblitzPrime.html#method_jacobianDoublePointMixed">jacobianDoublePointMixed()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getJSFPoints">getJSFPoints()</a></li>
<li class=""><a href="classes/phpseclib3-Crypt-EC-BaseCurves-Prime.html#method_getNAFPoints">getNAFPoints()</a></li>
</ul>
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