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| </script></nav></div><div class="container mainContainer docsContainer"><div class="wrapper"><div class="post"><header class="postHeader"><h1 id="__docusaurus" class="postHeaderTitle">FP4</h1></header><article><div><span><p><a name="FP4"></a></p> |
| <h2><a class="anchor" aria-hidden="true" id="fp4"></a><a href="#fp4" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>FP4</h2> |
| <p><strong>Kind</strong>: global class<br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <ul> |
| <li><a href="#FP4">FP4</a> |
| <ul> |
| <li><a href="#new_FP4_new">new FP4()</a></li> |
| <li><a href="#FP4+reduce">.reduce()</a></li> |
| <li><a href="#FP4+norm">.norm()</a></li> |
| <li><a href="#FP4+iszilch">.iszilch()</a></li> |
| <li><a href="#FP4+isunity">.isunity()</a></li> |
| <li><a href="#FP4+cmove">.cmove(g, d)</a></li> |
| <li><a href="#FP4+isreal">.isreal()</a></li> |
| <li><a href="#FP4+real">.real()</a></li> |
| <li><a href="#FP4+geta">.geta()</a></li> |
| <li><a href="#FP4+getb">.getb()</a></li> |
| <li><a href="#FP4+equals">.equals(x)</a></li> |
| <li><a href="#FP4+copy">.copy(x)</a></li> |
| <li><a href="#FP4+zero">.zero()</a></li> |
| <li><a href="#FP4+one">.one(x)</a></li> |
| <li><a href="#FP4+set">.set(c, d)</a></li> |
| <li><a href="#FP4+seta">.seta(c)</a></li> |
| <li><a href="#FP4+neg">.neg()</a></li> |
| <li><a href="#FP4+conj">.conj()</a></li> |
| <li><a href="#FP4+nconj">.nconj()</a></li> |
| <li><a href="#FP4+add">.add(x)</a></li> |
| <li><a href="#FP4+sub">.sub(x)</a></li> |
| <li><a href="#FP4+pmul">.pmul(s)</a></li> |
| <li><a href="#FP4+imul">.imul(s)</a></li> |
| <li><a href="#FP4+sqr">.sqr()</a></li> |
| <li><a href="#FP4+mul">.mul(y)</a></li> |
| <li><a href="#FP4+toString">.toString()</a></li> |
| <li><a href="#FP4+inverse">.inverse()</a></li> |
| <li><a href="#FP4+times_i">.times_i()</a></li> |
| <li><a href="#FP4+frob">.frob(f)</a></li> |
| <li><a href="#FP4+pow">.pow(e)</a></li> |
| <li><a href="#FP4+xtr_A">.xtr_A(w, y, z)</a></li> |
| <li><a href="#FP4+xtr_D">.xtr_D()</a></li> |
| <li><a href="#FP4+xtr_pow">.xtr_pow(n)</a></li> |
| <li><a href="#FP4+xtr_pow2">.xtr_pow2()</a></li> |
| <li><a href="#FP4+div2">.div2()</a></li> |
| <li><a href="#FP4+div_i">.div_i()</a></li> |
| <li><a href="#FP4+div_2i">.div_2i()</a></li> |
| <li><a href="#FP4+qmul">.qmul(s)</a></li> |
| <li><a href="#FP4+sqrt">.sqrt()</a></li> |
| </ul></li> |
| </ul> |
| <p><a name="new_FP4_new"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="new-fp4"></a><a href="#new-fp4" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>new FP4()</h3> |
| <p>Creates an instance of FP4</p> |
| <p><a name="FP4+reduce"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4reduce"></a><a href="#fp4reduce" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.reduce()</h3> |
| <p>Reduces all components of possibly unreduced FP4 mod Modulus</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+norm"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4norm"></a><a href="#fp4norm" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.norm()</h3> |
| <p>Normalises the components of an FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+iszilch"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4iszilch"></a><a href="#fp4iszilch" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.iszilch()</h3> |
| <p>Tests for FP4 equal to zero</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+isunity"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4isunity"></a><a href="#fp4isunity" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.isunity()</h3> |
| <p>Tests for FP4 equal to unity</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+cmove"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4cmoveg-d"></a><a href="#fp4cmoveg-d" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.cmove(g, d)</h3> |
| <p>Conditional copy of FP4 number</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>g</td><td>FP4 instance</td></tr> |
| <tr><td>d</td><td>copy depends on this value</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+isreal"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4isreal"></a><a href="#fp4isreal" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.isreal()</h3> |
| <p>test is w real? That is in a+ib test b is zero</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+real"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4real"></a><a href="#fp4real" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.real()</h3> |
| <p>extract real part a</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+geta"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4geta"></a><a href="#fp4geta" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.geta()</h3> |
| <p>extract a from this</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+getb"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4getb"></a><a href="#fp4getb" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.getb()</h3> |
| <p>extract b from this</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+equals"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4equalsx"></a><a href="#fp4equalsx" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.equals(x)</h3> |
| <p>Tests for equality of two FP4s</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>x</td><td>FP4 instance to compare</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+copy"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4copyx"></a><a href="#fp4copyx" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.copy(x)</h3> |
| <p>Copy FP4 to another FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>x</td><td>FP4 instance to be copied</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+zero"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4zero"></a><a href="#fp4zero" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.zero()</h3> |
| <p>Set FP4 to zero</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+one"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4onex"></a><a href="#fp4onex" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.one(x)</h3> |
| <p>Set FP4 to unity</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>x</td><td>FP4 instance to be set to one</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+set"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4setc-d"></a><a href="#fp4setc-d" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.set(c, d)</h3> |
| <p>Set FP4 from two FP2 values</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>c</td><td>FP2 instance</td></tr> |
| <tr><td>d</td><td>FP2 instance</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+seta"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4setac"></a><a href="#fp4setac" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.seta(c)</h3> |
| <p>Set FP4 from one FP2 value</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>c</td><td>FP2 instance</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+neg"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4neg"></a><a href="#fp4neg" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.neg()</h3> |
| <p>Negation of FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+conj"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4conj"></a><a href="#fp4conj" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.conj()</h3> |
| <p>Conjugation of FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+nconj"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4nconj"></a><a href="#fp4nconj" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.nconj()</h3> |
| <p>Negative conjugation of FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+add"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4addx"></a><a href="#fp4addx" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.add(x)</h3> |
| <p>addition of two FP4s</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>x</td><td>FP4 instance</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+sub"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4subx"></a><a href="#fp4subx" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.sub(x)</h3> |
| <p>subtraction of two FP4s</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>x</td><td>FP4 instance</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+pmul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4pmuls"></a><a href="#fp4pmuls" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.pmul(s)</h3> |
| <p>Multiplication of an FP4 by an FP8</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</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> |
| <p><a name="FP4+imul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4imuls"></a><a href="#fp4imuls" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.imul(s)</h3> |
| <p>Multiplication of an FP4 by an integer</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>s</td><td>integer multiplier</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+sqr"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4sqr"></a><a href="#fp4sqr" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.sqr()</h3> |
| <p>Fast Squaring of an FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+mul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4muly"></a><a href="#fp4muly" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.mul(y)</h3> |
| <p>Full unconditional Multiplication of two FP4s</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>y</td><td>FP4 instance, the multiplier</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+toString"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4tostring"></a><a href="#fp4tostring" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.toString()</h3> |
| <p>convert to hex string</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+inverse"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4inverse"></a><a href="#fp4inverse" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.inverse()</h3> |
| <p>Inverting an FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+times_i"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4times_i"></a><a href="#fp4times_i" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.times_i()</h3> |
| <p>multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1))</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+frob"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4frobf"></a><a href="#fp4frobf" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.frob(f)</h3> |
| <p>Raises an FP4 to the power of the internal modulus p, using the Frobenius</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>f</td><td>Modulus</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+pow"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4powe"></a><a href="#fp4powe" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.pow(e)</h3> |
| <p>Raises an FP4 to the power of a BIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</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> |
| <p><a name="FP4+xtr_A"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4xtr_aw-y-z"></a><a href="#fp4xtr_aw-y-z" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.xtr_A(w, y, z)</h3> |
| <p>Calculates the XTR addition function r=w<em>x-conj(x)</em>y+z</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>w</td><td>FP4 instance</td></tr> |
| <tr><td>y</td><td>FP4 instance</td></tr> |
| <tr><td>z</td><td>FP4 instance</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+xtr_D"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4xtr_d"></a><a href="#fp4xtr_d" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.xtr_D()</h3> |
| <p>Calculates the XTR doubling function r=x^2-2*conj(x)</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+xtr_pow"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4xtr_pown"></a><a href="#fp4xtr_pown" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.xtr_pow(n)</h3> |
| <p>Calculates FP4 trace of an FP4 raised to the power of a BIG number</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>n</td><td>Big number</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+xtr_pow2"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4xtr_pow2"></a><a href="#fp4xtr_pow2" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.xtr_pow2()</h3> |
| <p>Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP4s</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+div2"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4div2"></a><a href="#fp4div2" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.div2()</h3> |
| <p>Divide an FP4 by 2</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+div_i"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4div_i"></a><a href="#fp4div_i" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.div_i()</h3> |
| <p>Divide FP4 number by QNR</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+div_2i"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4div_2i"></a><a href="#fp4div_2i" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.div_2i()</h3> |
| <p>Divide an FP4 by QNR/2</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code> <br> |
| <a name="FP4+qmul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4qmuls"></a><a href="#fp4qmuls" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.qmul(s)</h3> |
| <p>Multiplication of an FP4 by an FP</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| <table> |
| <thead> |
| <tr><th>Param</th><th>Description</th></tr> |
| </thead> |
| <tbody> |
| <tr><td>s</td><td>FP multiplier</td></tr> |
| </tbody> |
| </table> |
| <p><a name="FP4+sqrt"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="fp4sqrt"></a><a href="#fp4sqrt" aria-hidden="true" class="hash-link"><svg class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>fP4.sqrt()</h3> |
| <p>Calculate square root of an FP4</p> |
| <p><strong>Kind</strong>: instance method of <a href="#FP4"><code>FP4</code></a> <br> |
| <strong>this</strong>: <code>{FP4}</code></p> |
| </span></div></article></div><div class="docs-prevnext"><a class="docs-prev button" href="/docs/cryptojs/fp2"><span class="arrow-prev">← </span><span>FP2</span></a><a class="docs-next button" href="/docs/cryptojs/fp8"><span>FP8</span><span class="arrow-next"> →</span></a></div></div></div><nav class="onPageNav"><ul class="toc-headings"><li><a href="#fp4">FP4</a><ul class="toc-headings"><li><a href="#new-fp4">new FP4()</a></li><li><a href="#fp4reduce">fP4.reduce()</a></li><li><a href="#fp4norm">fP4.norm()</a></li><li><a href="#fp4iszilch">fP4.iszilch()</a></li><li><a href="#fp4isunity">fP4.isunity()</a></li><li><a href="#fp4cmoveg-d">fP4.cmove(g, d)</a></li><li><a href="#fp4isreal">fP4.isreal()</a></li><li><a href="#fp4real">fP4.real()</a></li><li><a href="#fp4geta">fP4.geta()</a></li><li><a href="#fp4getb">fP4.getb()</a></li><li><a href="#fp4equalsx">fP4.equals(x)</a></li><li><a href="#fp4copyx">fP4.copy(x)</a></li><li><a href="#fp4zero">fP4.zero()</a></li><li><a href="#fp4onex">fP4.one(x)</a></li><li><a href="#fp4setc-d">fP4.set(c, d)</a></li><li><a href="#fp4setac">fP4.seta(c)</a></li><li><a href="#fp4neg">fP4.neg()</a></li><li><a href="#fp4conj">fP4.conj()</a></li><li><a href="#fp4nconj">fP4.nconj()</a></li><li><a href="#fp4addx">fP4.add(x)</a></li><li><a href="#fp4subx">fP4.sub(x)</a></li><li><a href="#fp4pmuls">fP4.pmul(s)</a></li><li><a href="#fp4imuls">fP4.imul(s)</a></li><li><a href="#fp4sqr">fP4.sqr()</a></li><li><a href="#fp4muly">fP4.mul(y)</a></li><li><a href="#fp4tostring">fP4.toString()</a></li><li><a href="#fp4inverse">fP4.inverse()</a></li><li><a href="#fp4times_i">fP4.times_i()</a></li><li><a href="#fp4frobf">fP4.frob(f)</a></li><li><a href="#fp4powe">fP4.pow(e)</a></li><li><a href="#fp4xtr_aw-y-z">fP4.xtr_A(w, y, z)</a></li><li><a href="#fp4xtr_d">fP4.xtr_D()</a></li><li><a href="#fp4xtr_pown">fP4.xtr_pow(n)</a></li><li><a href="#fp4xtr_pow2">fP4.xtr_pow2()</a></li><li><a href="#fp4div2">fP4.div2()</a></li><li><a href="#fp4div_i">fP4.div_i()</a></li><li><a href="#fp4div_2i">fP4.div_2i()</a></li><li><a href="#fp4qmuls">fP4.qmul(s)</a></li><li><a href="#fp4sqrt">fP4.sqrt()</a></li></ul></li></ul></nav></div><footer class="nav-footer" id="footer"><section class="sitemap"><a href="/" class="nav-home"><img src="/img/milagro.svg" alt="Apache Milagro" width="50" height="100"/></a><div><h5>Docs</h5><a href="/docs/milagro-intro.html">Milagro Intro</a><a href="/docs/amcl-overview.html">Apache Milagro Crypto Library</a><a href="/docs/d-ta-overview.html">Decentralized Trust Authority</a><a href="/docs/zkp-mfa-overview.html">Zero Knowledge Proof MFA</a></div><div><h5>Community</h5><a href="../docs/support">Support</a><a href="../docs/contributor-guide">Contributing</a><a href="https://cwiki.apache.org/confluence/pages/viewpage.action?pageId=115529045" target="_blank" rel="noreferrer noopener">Developer Wiki</a><a href="https://twitter.com/apachemilagro?lang=en" target="_blank" rel="noreferrer noopener">Twitter</a></div><div><h5>More</h5><a href="/blog">Status</a><a href="https://github.com/apache/incubator-milagro-crypto-c">GitHub</a><a class="github-button" href="https://github.com/apache/incubator-milagro" data-icon="octicon-star" data-count-href="/apache/incubator-milagro-crypto/stargazers" data-show-count="true" data-count-aria-label="# stargazers on GitHub" aria-label="Star this project on GitHub">Star</a></div></section><a href="https://apache.org" target="_blank" rel="noreferrer noopener" class="fbOpenSource"><img src="/img/oss_logo.png" alt="Apache Incubator" width="170" height="45"/></a><section class="copyright"><div>Apache Milagro is an effort undergoing incubation at The Apache Software Foundation (ASF), sponsored by the Apache Incubator. Incubation is required of all newly accepted projects until a further review indicates that the infrastructure, communications, and decision making process have stabilized in a manner consistent with other successful ASF projects. While incubation status is not necessarily a reflection of the completeness or stability of the code, it does indicate that the project has yet to be fully endorsed by the ASF.</div></section><p></p><section class="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.</section></footer></div></body></html> |
