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class="theme-doc-markdown markdown"><header><h1>FP2</h1></header><a name="FP2"></a><h2 class="anchor anchorWithStickyNavbar_LWe7" id="fp2">FP2<a class="hash-link" href="#fp2" title="Direct link to heading"></a></h2><p><strong>Kind</strong>: global class<br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><ul><li><a href="#FP2">FP2</a><ul><li><a href="#new_FP2_new">new FP2()</a></li><li><a href="#FP2+reduce">.reduce()</a></li><li><a href="#FP2+norm">.norm()</a></li><li><a href="#FP2+iszilch">.iszilch()</a></li><li><a href="#FP2+isunity">.isunity()</a></li><li><a href="#FP2+cmove">.cmove(g, d)</a></li><li><a href="#FP2+equals">.equals(x)</a></li><li><a href="#FP2+getA">.getA()</a></li><li><a href="#FP2+getB">.getB()</a></li><li><a href="#FP2+set">.set(c, d)</a></li><li><a href="#FP2+seta">.seta(c)</a></li><li><a href="#FP2+bset">.bset(c, d)</a></li><li><a href="#FP2+bseta">.bseta(c)</a></li><li><a href="#FP2+copy">.copy(x)</a></li><li><a href="#FP2+zero">.zero()</a></li><li><a href="#FP2+one">.one(x)</a></li><li><a href="#FP2+neg">.neg(x)</a></li><li><a href="#FP2+conj">.conj()</a></li><li><a href="#FP2+add">.add(x)</a></li><li><a href="#FP2+sub">.sub(x)</a></li><li><a href="#FP2+pmul">.pmul(s)</a></li><li><a href="#FP2+imul">.imul(s)</a></li><li><a href="#FP2+sqr">.sqr()</a></li><li><a href="#FP2+mul">.mul(y)</a></li><li><a href="#FP2+sqrt">.sqrt()</a> ⇒</li><li><a href="#FP2+toString">.toString()</a></li><li><a href="#FP2+inverse">.inverse()</a></li><li><a href="#FP2+div2">.div2()</a></li><li><a href="#FP2+times_i">.times_i()</a></li><li><a href="#FP2+mul_ip">.mul_ip()</a></li><li><a href="#FP2+div_ip2">.div_ip2()</a></li><li><a href="#FP2+div_ip">.div_ip()</a></li><li><a href="#FP2+pow">.pow(e)</a></li></ul></li></ul><a name="new_FP2_new"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="new-fp2">new FP2()<a class="hash-link" href="#new-fp2" title="Direct link to heading"></a></h3><p>Creates an instance of FP2.</p><a name="FP2+reduce"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2reduce">fP2.reduce()<a class="hash-link" href="#fp2reduce" title="Direct link to heading"></a></h3><p>Reduces all components of possibly unreduced FP2 mod Modulus</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+norm"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2norm">fP2.norm()<a class="hash-link" href="#fp2norm" title="Direct link to heading"></a></h3><p>Normalises the components of an FP2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+iszilch"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2iszilch">fP2.iszilch()<a class="hash-link" href="#fp2iszilch" title="Direct link to heading"></a></h3><p>Tests for FP2 equal to zero</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+isunity"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2isunity">fP2.isunity()<a class="hash-link" href="#fp2isunity" title="Direct link to heading"></a></h3><p>Tests for FP2 equal to unity</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+cmove"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2cmoveg-d">fP2.cmove(g, d)<a class="hash-link" href="#fp2cmoveg-d" title="Direct link to heading"></a></h3><p>Conditional copy of FP2 number</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>g</td><td>FP2 instance</td></tr><tr><td>d</td><td>copy depends on this value</td></tr></tbody></table><a name="FP2+equals"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2equalsx">fP2.equals(x)<a class="hash-link" href="#fp2equalsx" title="Direct link to heading"></a></h3><p>Tests for equality of two FP2 instances</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance to compare</td></tr></tbody></table><a name="FP2+getA"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2geta">fP2.getA()<a class="hash-link" href="#fp2geta" title="Direct link to heading"></a></h3><p>extract a from this</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+getB"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2getb">fP2.getB()<a class="hash-link" href="#fp2getb" title="Direct link to heading"></a></h3><p>extract b from this</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+set"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2setc-d">fP2.set(c, d)<a class="hash-link" href="#fp2setc-d" title="Direct link to heading"></a></h3><p>Set FP2 from two FP values</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>c</td><td>FP instance</td></tr><tr><td>d</td><td>FP instance</td></tr></tbody></table><a name="FP2+seta"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2setac">fP2.seta(c)<a class="hash-link" href="#fp2setac" title="Direct link to heading"></a></h3><p>Set FP2 from one FP value</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>c</td><td>FP instance</td></tr></tbody></table><a name="FP2+bset"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2bsetc-d">fP2.bset(c, d)<a class="hash-link" href="#fp2bsetc-d" title="Direct link to heading"></a></h3><p>Set FP2 from two BIG values</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>c</td><td>BIG instance</td></tr><tr><td>d</td><td>BIG instance</td></tr></tbody></table><a name="FP2+bseta"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2bsetac">fP2.bseta(c)<a class="hash-link" href="#fp2bsetac" title="Direct link to heading"></a></h3><p>Set FP2 from one BIG value</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>c</td><td>BIG instance</td></tr></tbody></table><a name="FP2+copy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2copyx">fP2.copy(x)<a class="hash-link" href="#fp2copyx" title="Direct link to heading"></a></h3><p>Copy FP2 to another FP2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance to be copied</td></tr></tbody></table><a name="FP2+zero"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2zero">fP2.zero()<a class="hash-link" href="#fp2zero" title="Direct link to heading"></a></h3><p>Set FP2 to zero</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+one"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2onex">fP2.one(x)<a class="hash-link" href="#fp2onex" title="Direct link to heading"></a></h3><p>Set FP2 to unity</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance to be set to one</td></tr></tbody></table><a name="FP2+neg"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2negx">fP2.neg(x)<a class="hash-link" href="#fp2negx" title="Direct link to heading"></a></h3><p>negate this</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance to be set to one</td></tr></tbody></table><a name="FP2+conj"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2conj">fP2.conj()<a class="hash-link" href="#fp2conj" title="Direct link to heading"></a></h3><p>Conjugation of FP2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+add"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2addx">fP2.add(x)<a class="hash-link" href="#fp2addx" title="Direct link to heading"></a></h3><p>addition of two FP2s</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance</td></tr></tbody></table><a name="FP2+sub"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2subx">fP2.sub(x)<a class="hash-link" href="#fp2subx" title="Direct link to heading"></a></h3><p>subtraction of two FP2s</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>x</td><td>FP2 instance</td></tr></tbody></table><a name="FP2+pmul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2pmuls">fP2.pmul(s)<a class="hash-link" href="#fp2pmuls" title="Direct link to heading"></a></h3><p>Multiplication of an FP2 by an FP8</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>s</td><td>FP8 instance</td></tr></tbody></table><a name="FP2+imul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2imuls">fP2.imul(s)<a class="hash-link" href="#fp2imuls" title="Direct link to heading"></a></h3><p>Multiplication of an FP2 by a small integer</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>s</td><td>integer</td></tr></tbody></table><a name="FP2+sqr"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2sqr">fP2.sqr()<a class="hash-link" href="#fp2sqr" title="Direct link to heading"></a></h3><p>Fast Squaring of an FP2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+mul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2muly">fP2.mul(y)<a class="hash-link" href="#fp2muly" title="Direct link to heading"></a></h3><p>Full unconditional Multiplication of two FP2s</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>y</td><td>FP2 instance, the multiplier</td></tr></tbody></table><a name="FP2+sqrt"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2sqrt-">fP2.sqrt() ⇒<a class="hash-link" href="#fp2sqrt-" title="Direct link to heading"></a></h3><p>sqrt(a+ib) = sqrt(a+sqrt(a_a-n_b_b)/2)+ib/(2_sqrt(a+sqrt(a_a-n_b<!-- -->*<!-- -->b)/2))</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>Returns</strong>: true if this is QR<br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+toString"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2tostring">fP2.toString()<a class="hash-link" href="#fp2tostring" title="Direct link to heading"></a></h3><p>convert this to hex string</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+inverse"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2inverse">fP2.inverse()<a class="hash-link" href="#fp2inverse" title="Direct link to heading"></a></h3><p>Inverting an FP2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+div2"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2div2">fP2.div2()<a class="hash-link" href="#fp2div2" title="Direct link to heading"></a></h3><p>Divide an FP2 by 2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+times_i"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2times_i">fP2.times_i()<a class="hash-link" href="#fp2times_i" title="Direct link to heading"></a></h3><p>Multiply an FP2 by sqrt(-1)</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+mul_ip"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2mul_ip">fP2.mul_ip()<a class="hash-link" href="#fp2mul_ip" title="Direct link to heading"></a></h3><p>Multiply an FP2 by (1+sqrt(-1))</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+div_ip2"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2div_ip2">fP2.div_ip2()<a class="hash-link" href="#fp2div_ip2" title="Direct link to heading"></a></h3><p>Divide an FP2 by (1+sqrt(-1))/2</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+div_ip"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2div_ip">fP2.div_ip()<a class="hash-link" href="#fp2div_ip" title="Direct link to heading"></a></h3><p>Divide an FP2 by (1+sqrt(-1))</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><a name="FP2+pow"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fp2powe">fP2.pow(e)<a class="hash-link" href="#fp2powe" title="Direct link to heading"></a></h3><p>Raises an FP2 to the power of a BIG</p><p><strong>Kind</strong>: instance method of <a href="#FP2"><code>FP2</code></a><br> |
| <strong>this</strong>: <code>{"{"}FP2{"}"}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>BIG instance exponent</td></tr></tbody></table></div></article><nav class="pagination-nav docusaurus-mt-lg" aria-label="Docs pages navigation"><a class="pagination-nav__link pagination-nav__link--prev" href="/docs/cryptojs/fp"><div class="pagination-nav__sublabel">Previous</div><div class="pagination-nav__label">FP</div></a><a class="pagination-nav__link pagination-nav__link--next" href="/docs/cryptojs/fp4"><div class="pagination-nav__sublabel">Next</div><div class="pagination-nav__label">FP4</div></a></nav></div></div><div class="col col--3"><div class="tableOfContents_bqdL thin-scrollbar theme-doc-toc-desktop"><ul class="table-of-contents table-of-contents__left-border"><li><a href="#fp2" class="table-of-contents__link toc-highlight">FP2</a><ul><li><a href="#new-fp2" class="table-of-contents__link toc-highlight">new FP2()</a></li><li><a href="#fp2reduce" class="table-of-contents__link toc-highlight">fP2.reduce()</a></li><li><a href="#fp2norm" class="table-of-contents__link toc-highlight">fP2.norm()</a></li><li><a href="#fp2iszilch" class="table-of-contents__link toc-highlight">fP2.iszilch()</a></li><li><a href="#fp2isunity" class="table-of-contents__link toc-highlight">fP2.isunity()</a></li><li><a href="#fp2cmoveg-d" class="table-of-contents__link toc-highlight">fP2.cmove(g, d)</a></li><li><a href="#fp2equalsx" class="table-of-contents__link toc-highlight">fP2.equals(x)</a></li><li><a href="#fp2geta" class="table-of-contents__link toc-highlight">fP2.getA()</a></li><li><a href="#fp2getb" class="table-of-contents__link toc-highlight">fP2.getB()</a></li><li><a href="#fp2setc-d" class="table-of-contents__link toc-highlight">fP2.set(c, d)</a></li><li><a href="#fp2setac" class="table-of-contents__link toc-highlight">fP2.seta(c)</a></li><li><a href="#fp2bsetc-d" class="table-of-contents__link toc-highlight">fP2.bset(c, d)</a></li><li><a href="#fp2bsetac" class="table-of-contents__link toc-highlight">fP2.bseta(c)</a></li><li><a href="#fp2copyx" class="table-of-contents__link toc-highlight">fP2.copy(x)</a></li><li><a href="#fp2zero" class="table-of-contents__link toc-highlight">fP2.zero()</a></li><li><a href="#fp2onex" class="table-of-contents__link toc-highlight">fP2.one(x)</a></li><li><a href="#fp2negx" class="table-of-contents__link toc-highlight">fP2.neg(x)</a></li><li><a href="#fp2conj" class="table-of-contents__link toc-highlight">fP2.conj()</a></li><li><a href="#fp2addx" class="table-of-contents__link toc-highlight">fP2.add(x)</a></li><li><a href="#fp2subx" class="table-of-contents__link toc-highlight">fP2.sub(x)</a></li><li><a href="#fp2pmuls" class="table-of-contents__link toc-highlight">fP2.pmul(s)</a></li><li><a href="#fp2imuls" class="table-of-contents__link toc-highlight">fP2.imul(s)</a></li><li><a href="#fp2sqr" class="table-of-contents__link toc-highlight">fP2.sqr()</a></li><li><a href="#fp2muly" class="table-of-contents__link toc-highlight">fP2.mul(y)</a></li><li><a href="#fp2sqrt-" class="table-of-contents__link toc-highlight">fP2.sqrt() ⇒</a></li><li><a href="#fp2tostring" class="table-of-contents__link toc-highlight">fP2.toString()</a></li><li><a href="#fp2inverse" class="table-of-contents__link toc-highlight">fP2.inverse()</a></li><li><a href="#fp2div2" class="table-of-contents__link toc-highlight">fP2.div2()</a></li><li><a href="#fp2times_i" class="table-of-contents__link toc-highlight">fP2.times_i()</a></li><li><a href="#fp2mul_ip" class="table-of-contents__link toc-highlight">fP2.mul_ip()</a></li><li><a href="#fp2div_ip2" class="table-of-contents__link toc-highlight">fP2.div_ip2()</a></li><li><a href="#fp2div_ip" class="table-of-contents__link toc-highlight">fP2.div_ip()</a></li><li><a href="#fp2powe" class="table-of-contents__link toc-highlight">fP2.pow(e)</a></li></ul></li></ul></div></div></div></div></main></div></div><footer class="footer"><div class="container container-fluid"><div class="footer__bottom text--center"><div class="margin-bottom--sm"><img src="/img/milagro.svg" class="themedImage_ToTc themedImage--light_HNdA footer__logo"><img src="/img/milagro.svg" class="themedImage_ToTc themedImage--dark_i4oU footer__logo"></div><div class="footer__copyright">Copyright © 2022 The Apache Software Foundation. Apache Milagro, Milagro, Apache, the Apache feather, and the Apache Milagro project logo are either registered trademarks or trademarks of the Apache Software Foundation.</div></div></div></footer></div> |
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