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class="theme-doc-markdown markdown"><header><h1>FF</h1></header><a name="FF"></a><h2 class="anchor anchorWithStickyNavbar_LWe7" id="ff">FF<a class="hash-link" href="#ff" title="Direct link to heading"></a></h2><p><strong>Kind</strong>: global class<br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><ul><li><a href="#FF">FF</a><ul><li><a href="#new_FF_new">new FF()</a></li><li><em>instance</em><ul><li><a href="#FF+set">.set(m)</a></li><li><a href="#FF+copy">.copy(b)</a></li><li><a href="#FF+rcopy">.rcopy(b)</a></li><li><a href="#FF+dsucopy">.dsucopy()</a></li><li><a href="#FF+dscopy">.dscopy()</a></li><li><a href="#FF+sducopy">.sducopy()</a></li><li><a href="#FF+iszilch">.iszilch()</a></li><li><a href="#FF+shrw">.shrw()</a></li><li><a href="#FF+shlw">.shlw()</a></li><li><a href="#FF+parity">.parity()</a></li><li><a href="#FF+radd">.radd()</a></li><li><a href="#FF+rinc">.rinc()</a></li><li><a href="#FF+rsub">.rsub()</a></li><li><a href="#FF+rdec">.rdec()</a></li><li><a href="#FF+add">.add()</a></li><li><a href="#FF+sub">.sub()</a></li><li><a href="#FF+revsub">.revsub()</a></li><li><a href="#FF+inc">.inc()</a></li><li><a href="#FF+rnorm">.rnorm()</a></li><li><a href="#FF+shl">.shl()</a></li><li><a href="#FF+shr">.shr()</a></li><li><a href="#FF+toString">.toString()</a></li><li><a href="#FF+toBytes">.toBytes()</a></li><li><a href="#FF+karmul">.karmul()</a></li><li><a href="#FF+lmul">.lmul()</a></li><li><a href="#FF+mod">.mod()</a></li><li><a href="#FF+reduce">.reduce(N, ND)</a></li><li><a href="#FF+dmod">.dmod(b)</a></li><li><a href="#FF+invmodp">.invmodp()</a></li><li><a href="#FF+nres">.nres()</a></li><li><a href="#FF+invmod2m">.invmod2m()</a></li><li><a href="#FF+randomnum">.randomnum()</a></li><li><a href="#FF+modmul">.modmul()</a></li><li><a href="#FF+modsqr">.modsqr()</a></li><li><a href="#FF+skpow">.skpow(e, p)</a></li><li><a href="#FF+skspow">.skspow(e, p)</a></li><li><a href="#FF+power">.power(e, p)</a></li><li><a href="#FF+pow">.pow(e, p)</a></li><li><a href="#FF+pow2">.pow2(e, y, f, p)</a></li><li><a href="#FF+cfactor">.cfactor(s)</a></li></ul></li><li><em>static</em><ul><li><a href="#FF.comp">.comp(a, b)</a></li><li><a href="#FF.cswap">.cswap()</a></li><li><a href="#FF.mul">.mul()</a></li><li><a href="#FF.sqr">.sqr()</a></li><li><a href="#FF.prime">.prime(p, rmg)</a></li></ul></li></ul></li></ul><a name="new_FF_new"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="new-ff">new FF()<a class="hash-link" href="#new-ff" title="Direct link to heading"></a></h3><p>Creates an instance of FF.</p><a name="FF+set"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffsetm">fF.set(m)<a class="hash-link" href="#ffsetm" title="Direct link to heading"></a></h3><p>set to integer</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>m</td><td>Integer value to be set to</td></tr></tbody></table><a name="FF+copy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffcopyb">fF.copy(b)<a class="hash-link" href="#ffcopyb" title="Direct link to heading"></a></h3><p>copy from FF b</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>b</td><td>FF element to copy from</td></tr></tbody></table><a name="FF+rcopy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrcopyb">fF.rcopy(b)<a class="hash-link" href="#ffrcopyb" title="Direct link to heading"></a></h3><p>copy from FF b</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>b</td><td>FF element to copy from</td></tr></tbody></table><a name="FF+dsucopy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffdsucopy">fF.dsucopy()<a class="hash-link" href="#ffdsucopy" title="Direct link to heading"></a></h3><p>x=y<!-- -->&lt;<!-- -->&lt;<!-- -->n</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+dscopy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffdscopy">fF.dscopy()<a class="hash-link" href="#ffdscopy" title="Direct link to heading"></a></h3><p>x=y</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+sducopy"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffsducopy">fF.sducopy()<a class="hash-link" href="#ffsducopy" title="Direct link to heading"></a></h3><p>x=y<!-- -->&gt;<!-- -->&gt;<!-- -->n</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+iszilch"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffiszilch">fF.iszilch()<a class="hash-link" href="#ffiszilch" title="Direct link to heading"></a></h3><p>test equals 0</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+shrw"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffshrw">fF.shrw()<a class="hash-link" href="#ffshrw" title="Direct link to heading"></a></h3><p>shift right by BIGBITS-bit words</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+shlw"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffshlw">fF.shlw()<a class="hash-link" href="#ffshlw" title="Direct link to heading"></a></h3><p>shift left by BIGBITS-bit words</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+parity"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffparity">fF.parity()<a class="hash-link" href="#ffparity" title="Direct link to heading"></a></h3><p>extract last bit</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+radd"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffradd">fF.radd()<a class="hash-link" href="#ffradd" title="Direct link to heading"></a></h3><p>recursive add</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+rinc"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrinc">fF.rinc()<a class="hash-link" href="#ffrinc" title="Direct link to heading"></a></h3><p>recursive inc</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+rsub"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrsub">fF.rsub()<a class="hash-link" href="#ffrsub" title="Direct link to heading"></a></h3><p>recursive sub</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+rdec"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrdec">fF.rdec()<a class="hash-link" href="#ffrdec" title="Direct link to heading"></a></h3><p>recursive dec</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+add"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffadd">fF.add()<a class="hash-link" href="#ffadd" title="Direct link to heading"></a></h3><p>simple add</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+sub"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffsub">fF.sub()<a class="hash-link" href="#ffsub" title="Direct link to heading"></a></h3><p>simple sub</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+revsub"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrevsub">fF.revsub()<a class="hash-link" href="#ffrevsub" title="Direct link to heading"></a></h3><p>reverse sub</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+inc"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffinc">fF.inc()<a class="hash-link" href="#ffinc" title="Direct link to heading"></a></h3><p>increment/decrement by a small integer</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+rnorm"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrnorm">fF.rnorm()<a class="hash-link" href="#ffrnorm" title="Direct link to heading"></a></h3><p>normalise - but hold any overflow in top part unless n<!-- -->&lt;<!-- -->0</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+shl"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffshl">fF.shl()<a class="hash-link" href="#ffshl" title="Direct link to heading"></a></h3><p>shift left by one bit</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+shr"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffshr">fF.shr()<a class="hash-link" href="#ffshr" title="Direct link to heading"></a></h3><p>shift right by one bit</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+toString"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fftostring">fF.toString()<a class="hash-link" href="#fftostring" title="Direct link to heading"></a></h3><p>Convert to Hex String</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+toBytes"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fftobytes">fF.toBytes()<a class="hash-link" href="#fftobytes" title="Direct link to heading"></a></h3><p>Convert FFs to/from byte arrays</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+karmul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffkarmul">fF.karmul()<a class="hash-link" href="#ffkarmul" title="Direct link to heading"></a></h3><p>z=x<!-- -->*<!-- -->y, t is workspace</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+lmul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="fflmul">fF.lmul()<a class="hash-link" href="#fflmul" title="Direct link to heading"></a></h3><p>return low part of product this<!-- -->*<!-- -->y</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+mod"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffmod">fF.mod()<a class="hash-link" href="#ffmod" title="Direct link to heading"></a></h3><p>Set b=b mod c</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+reduce"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffreducen-nd-">fF.reduce(N, ND) ⇒<a class="hash-link" href="#ffreducen-nd-" title="Direct link to heading"></a></h3><p>return this mod modulus</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>Returns</strong>: this mod N<br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>N</td><td>Mmodulus</td></tr><tr><td>ND</td><td>Montgomery Constant</td></tr></tbody></table><a name="FF+dmod"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffdmodb-">fF.dmod(b) ⇒<a class="hash-link" href="#ffdmodb-" title="Direct link to heading"></a></h3><p>Reduces a double-length FF with respect to a given modulus</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>Returns</strong>: this mod N<br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>b</td><td>Mmodulus</td></tr></tbody></table><a name="FF+invmodp"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffinvmodp">fF.invmodp()<a class="hash-link" href="#ffinvmodp" title="Direct link to heading"></a></h3><p>Set return=1/this mod p. Binary method - a<!-- -->&lt;<!-- -->p on entry</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+nres"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffnres">fF.nres()<a class="hash-link" href="#ffnres" title="Direct link to heading"></a></h3><p>nresidue mod m</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+invmod2m"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffinvmod2m">fF.invmod2m()<a class="hash-link" href="#ffinvmod2m" title="Direct link to heading"></a></h3><p>U=1/a mod 2^m - Arazi &amp; Qi</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+randomnum"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffrandomnum">fF.randomnum()<a class="hash-link" href="#ffrandomnum" title="Direct link to heading"></a></h3><p>generate random x</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+modmul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffmodmul">fF.modmul()<a class="hash-link" href="#ffmodmul" title="Direct link to heading"></a></h3><p>this<!-- -->*<!-- -->=y mod p</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+modsqr"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffmodsqr">fF.modsqr()<a class="hash-link" href="#ffmodsqr" title="Direct link to heading"></a></h3><p>this<!-- -->*<!-- -->=y mod p</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF+skpow"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffskpowe-p">fF.skpow(e, p)<a class="hash-link" href="#ffskpowe-p" title="Direct link to heading"></a></h3><p>this=this^e mod p using side-channel resistant Montgomery Ladder, for large e</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>exponent</td></tr><tr><td>p</td><td>modulus</td></tr></tbody></table><a name="FF+skspow"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffskspowe-p">fF.skspow(e, p)<a class="hash-link" href="#ffskspowe-p" title="Direct link to heading"></a></h3><p>this=this^e mod p using side-channel resistant Montgomery Ladder, for short e</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>exponent</td></tr><tr><td>p</td><td>modulus</td></tr></tbody></table><a name="FF+power"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffpowere-p">fF.power(e, p)<a class="hash-link" href="#ffpowere-p" title="Direct link to heading"></a></h3><p>raise to an integer power - right-to-left method</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>exponent</td></tr><tr><td>p</td><td>modulus</td></tr></tbody></table><a name="FF+pow"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffpowe-p">fF.pow(e, p)<a class="hash-link" href="#ffpowe-p" title="Direct link to heading"></a></h3><p>this=this^e mod p, faster but not side channel resistant</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>exponent</td></tr><tr><td>p</td><td>modulus</td></tr></tbody></table><a name="FF+pow2"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffpow2e-y-f-p">fF.pow2(e, y, f, p)<a class="hash-link" href="#ffpow2e-y-f-p" title="Direct link to heading"></a></h3><p>double exponentiation r=x^e.y^f mod p</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>e</td><td>exponent</td></tr><tr><td>y</td><td>FF instance</td></tr><tr><td>f</td><td>exponent</td></tr><tr><td>p</td><td>modulus</td></tr></tbody></table><a name="FF+cfactor"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffcfactors-">fF.cfactor(s) ⇒<a class="hash-link" href="#ffcfactors-" title="Direct link to heading"></a></h3><p>Test if an FF has factor in common with integer s</p><p><strong>Kind</strong>: instance method of <a href="#FF"><code>FF</code></a><br>
<strong>Returns</strong>: true or false<br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>s</td><td>integerexponent</td></tr></tbody></table><a name="FF.comp"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffcompa-b-">FF.comp(a, b) ⇒<a class="hash-link" href="#ffcompa-b-" title="Direct link to heading"></a></h3><p>compare a and b - must be normalised, and of same length</p><p><strong>Kind</strong>: static method of <a href="#FF"><code>FF</code></a><br>
<strong>Returns</strong>: zero of error codetrue or false<br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>a</td><td>FF number</td></tr><tr><td>b</td><td>FF number</td></tr></tbody></table><a name="FF.cswap"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffcswap">FF.cswap()<a class="hash-link" href="#ffcswap" title="Direct link to heading"></a></h3><p>in-place swapping using xor - side channel resistant - lengths must be the same</p><p><strong>Kind</strong>: static method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF.mul"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffmul">FF.mul()<a class="hash-link" href="#ffmul" title="Direct link to heading"></a></h3><p>z=x<!-- -->*<!-- -->y. Assumes x and y are of same length.</p><p><strong>Kind</strong>: static method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF.sqr"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffsqr">FF.sqr()<a class="hash-link" href="#ffsqr" title="Direct link to heading"></a></h3><p>z=x^2</p><p><strong>Kind</strong>: static method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><a name="FF.prime"></a><h3 class="anchor anchorWithStickyNavbar_LWe7" id="ffprimep-rmg">FF.prime(p, rmg)<a class="hash-link" href="#ffprimep-rmg" title="Direct link to heading"></a></h3><p>Miller-Rabin test for primality.</p><p><strong>Kind</strong>: static method of <a href="#FF"><code>FF</code></a><br>
<strong>this</strong>: <code>{&quot;{&quot;}FF{&quot;}&quot;}</code> </p><table><thead><tr><th>Param</th><th>Description</th></tr></thead><tbody><tr><td>p</td><td>FF instance to be tested</td></tr><tr><td>rmg</td><td>an instance of a Cryptographically Secure Random Number Generator</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/ecp8"><div class="pagination-nav__sublabel">Previous</div><div class="pagination-nav__label">ECP8</div></a><a class="pagination-nav__link pagination-nav__link--next" href="/docs/cryptojs/fp"><div class="pagination-nav__sublabel">Next</div><div class="pagination-nav__label">FP</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="#ff" class="table-of-contents__link toc-highlight">FF</a><ul><li><a href="#new-ff" class="table-of-contents__link toc-highlight">new FF()</a></li><li><a href="#ffsetm" class="table-of-contents__link toc-highlight">fF.set(m)</a></li><li><a href="#ffcopyb" class="table-of-contents__link toc-highlight">fF.copy(b)</a></li><li><a href="#ffrcopyb" class="table-of-contents__link toc-highlight">fF.rcopy(b)</a></li><li><a href="#ffdsucopy" class="table-of-contents__link toc-highlight">fF.dsucopy()</a></li><li><a href="#ffdscopy" class="table-of-contents__link toc-highlight">fF.dscopy()</a></li><li><a href="#ffsducopy" class="table-of-contents__link toc-highlight">fF.sducopy()</a></li><li><a href="#ffiszilch" class="table-of-contents__link toc-highlight">fF.iszilch()</a></li><li><a href="#ffshrw" class="table-of-contents__link toc-highlight">fF.shrw()</a></li><li><a href="#ffshlw" class="table-of-contents__link toc-highlight">fF.shlw()</a></li><li><a href="#ffparity" class="table-of-contents__link toc-highlight">fF.parity()</a></li><li><a href="#ffradd" class="table-of-contents__link toc-highlight">fF.radd()</a></li><li><a href="#ffrinc" class="table-of-contents__link toc-highlight">fF.rinc()</a></li><li><a href="#ffrsub" class="table-of-contents__link toc-highlight">fF.rsub()</a></li><li><a href="#ffrdec" class="table-of-contents__link toc-highlight">fF.rdec()</a></li><li><a href="#ffadd" class="table-of-contents__link toc-highlight">fF.add()</a></li><li><a href="#ffsub" class="table-of-contents__link toc-highlight">fF.sub()</a></li><li><a href="#ffrevsub" class="table-of-contents__link toc-highlight">fF.revsub()</a></li><li><a href="#ffinc" class="table-of-contents__link toc-highlight">fF.inc()</a></li><li><a href="#ffrnorm" class="table-of-contents__link toc-highlight">fF.rnorm()</a></li><li><a href="#ffshl" class="table-of-contents__link toc-highlight">fF.shl()</a></li><li><a href="#ffshr" class="table-of-contents__link toc-highlight">fF.shr()</a></li><li><a href="#fftostring" class="table-of-contents__link toc-highlight">fF.toString()</a></li><li><a href="#fftobytes" class="table-of-contents__link toc-highlight">fF.toBytes()</a></li><li><a href="#ffkarmul" class="table-of-contents__link toc-highlight">fF.karmul()</a></li><li><a href="#fflmul" class="table-of-contents__link toc-highlight">fF.lmul()</a></li><li><a href="#ffmod" class="table-of-contents__link toc-highlight">fF.mod()</a></li><li><a href="#ffreducen-nd-" class="table-of-contents__link toc-highlight">fF.reduce(N, ND) ⇒</a></li><li><a href="#ffdmodb-" class="table-of-contents__link toc-highlight">fF.dmod(b) ⇒</a></li><li><a href="#ffinvmodp" class="table-of-contents__link toc-highlight">fF.invmodp()</a></li><li><a href="#ffnres" class="table-of-contents__link toc-highlight">fF.nres()</a></li><li><a href="#ffinvmod2m" class="table-of-contents__link toc-highlight">fF.invmod2m()</a></li><li><a href="#ffrandomnum" class="table-of-contents__link toc-highlight">fF.randomnum()</a></li><li><a href="#ffmodmul" class="table-of-contents__link toc-highlight">fF.modmul()</a></li><li><a href="#ffmodsqr" class="table-of-contents__link toc-highlight">fF.modsqr()</a></li><li><a href="#ffskpowe-p" class="table-of-contents__link toc-highlight">fF.skpow(e, p)</a></li><li><a href="#ffskspowe-p" class="table-of-contents__link toc-highlight">fF.skspow(e, p)</a></li><li><a href="#ffpowere-p" class="table-of-contents__link toc-highlight">fF.power(e, p)</a></li><li><a href="#ffpowe-p" class="table-of-contents__link toc-highlight">fF.pow(e, p)</a></li><li><a href="#ffpow2e-y-f-p" class="table-of-contents__link toc-highlight">fF.pow2(e, y, f, p)</a></li><li><a href="#ffcfactors-" class="table-of-contents__link toc-highlight">fF.cfactor(s) ⇒</a></li><li><a href="#ffcompa-b-" class="table-of-contents__link toc-highlight">FF.comp(a, b) ⇒</a></li><li><a href="#ffcswap" class="table-of-contents__link toc-highlight">FF.cswap()</a></li><li><a href="#ffmul" class="table-of-contents__link toc-highlight">FF.mul()</a></li><li><a href="#ffsqr" class="table-of-contents__link toc-highlight">FF.sqr()</a></li><li><a href="#ffprimep-rmg" class="table-of-contents__link toc-highlight">FF.prime(p, rmg)</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. 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