| <!DOCTYPE html><html lang="en"><head><meta charSet="utf-8"/><meta http-equiv="X-UA-Compatible" content="IE=edge"/><title>BIG · Apache Milagro</title><meta name="viewport" content="width=device-width, initial-scale=1.0"/><meta name="generator" content="Docusaurus"/><meta name="description" content="<a name="BIG"></a>"/><meta name="docsearch:language" content="en"/><meta property="og:title" content="BIG · Apache Milagro"/><meta property="og:type" content="website"/><meta property="og:url" content="https://milagro.apache.org/"/><meta property="og:description" content="<a name="BIG"></a>"/><meta name="twitter:card" content="summary"/><link rel="shortcut icon" href="/img/favicon.ico"/><link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.12.0/styles/default.min.css"/><link rel="alternate" type="application/atom+xml" href="https://milagro.apache.org/blog/atom.xml" title="Apache Milagro Blog ATOM Feed"/><link rel="alternate" type="application/rss+xml" 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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">BIG</h1></header><article><div><span><p><a name="BIG"></a></p> |
| <h2><a class="anchor" aria-hidden="true" id="big"></a><a href="#big" 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>BIG</h2> |
| <p><strong>Kind</strong>: global class<br> |
| <strong>this</strong>: <code>{BIG}</code></p> |
| <ul> |
| <li><a href="#BIG">BIG</a> |
| <ul> |
| <li><a href="#new_BIG_new">new BIG()</a></li> |
| <li><em>instance</em> |
| <ul> |
| <li><a href="#BIG+zero">.zero()</a> ⇒</li> |
| <li><a href="#BIG+one">.one()</a> ⇒</li> |
| <li><a href="#BIG+iszilch">.iszilch()</a> ⇒</li> |
| <li><a href="#BIG+isunity">.isunity()</a> ⇒</li> |
| <li><a href="#BIG+cswap">.cswap()</a></li> |
| <li><a href="#BIG+cmove">.cmove()</a></li> |
| <li><a href="#BIG+copy">.copy()</a> ⇒</li> |
| <li><a href="#BIG+hcopy">.hcopy()</a> ⇒</li> |
| <li><a href="#BIG+rcopy">.rcopy()</a> ⇒</li> |
| <li><a href="#BIG+norm">.norm()</a> ⇒</li> |
| <li><a href="#BIG+fshr">.fshr()</a> ⇒</li> |
| <li><a href="#BIG+shr">.shr()</a> ⇒</li> |
| <li><a href="#BIG+fshl">.fshl()</a> ⇒</li> |
| <li><a href="#BIG+shl">.shl()</a> ⇒</li> |
| <li><a href="#BIG+nbits">.nbits()</a> ⇒</li> |
| <li><a href="#BIG+toString">.toString()</a> ⇒</li> |
| <li><a href="#BIG+add">.add()</a> ⇒</li> |
| <li><a href="#BIG+or">.or()</a> ⇒</li> |
| <li><a href="#BIG+plus">.plus()</a> ⇒</li> |
| <li><a href="#BIG+inc">.inc()</a> ⇒</li> |
| <li><a href="#BIG+sub">.sub()</a> ⇒</li> |
| <li><a href="#BIG+rsub">.rsub()</a> ⇒</li> |
| <li><a href="#BIG+dec">.dec()</a> ⇒</li> |
| <li><a href="#BIG+minus">.minus()</a> ⇒</li> |
| <li><a href="#BIG+imul">.imul()</a> ⇒</li> |
| <li><a href="#BIG+tobytearray">.tobytearray()</a></li> |
| <li><a href="#BIG+toBytes">.toBytes()</a></li> |
| <li><a href="#BIG+muladd">.muladd()</a></li> |
| <li><a href="#BIG+pmul">.pmul()</a> ⇒</li> |
| <li><a href="#BIG+pxmul">.pxmul()</a> ⇒</li> |
| <li><a href="#BIG+div3">.div3()</a> ⇒</li> |
| <li><a href="#BIG+mod2m">.mod2m()</a> ⇒</li> |
| <li><a href="#BIG+invmod2m">.invmod2m()</a> ⇒</li> |
| <li><a href="#BIG+mod">.mod()</a> ⇒</li> |
| <li><a href="#BIG+div">.div()</a> ⇒</li> |
| <li><a href="#BIG+parity">.parity()</a> ⇒</li> |
| <li><a href="#BIG+bit">.bit()</a> ⇒</li> |
| <li><a href="#BIG+lastbits">.lastbits()</a> ⇒</li> |
| <li><a href="#BIG+jacobi">.jacobi()</a> ⇒</li> |
| <li><a href="#BIG+invmodp">.invmodp()</a> ⇒</li> |
| <li><a href="#BIG+powmod">.powmod()</a> ⇒</li> |
| </ul></li> |
| <li><em>static</em> |
| <ul> |
| <li><a href="#BIG.frombytearray">.frombytearray()</a> ⇒</li> |
| <li><a href="#BIG.smul">.smul()</a> ⇒</li> |
| <li><a href="#BIG.comp">.comp()</a> ⇒</li> |
| <li><a href="#BIG.random">.random()</a> ⇒</li> |
| <li><a href="#BIG.randomnum">.randomnum()</a> ⇒</li> |
| <li><a href="#BIG.mul">.mul()</a> ⇒</li> |
| <li><a href="#BIG.sqr">.sqr()</a> ⇒</li> |
| <li><a href="#BIG.modmul">.modmul()</a> ⇒</li> |
| <li><a href="#BIG.modsqr">.modsqr()</a> ⇒</li> |
| <li><a href="#BIG.modneg">.modneg()</a> ⇒</li> |
| <li><a href="#BIG.invmod256">.invmod256()</a> ⇒</li> |
| </ul></li> |
| </ul></li> |
| </ul> |
| <p><a name="new_BIG_new"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="new-big"></a><a href="#new-big" 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 BIG()</h3> |
| <p>General purpose Constructor</p> |
| <p><a name="BIG+zero"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigzero-"></a><a href="#bigzero-" 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>biG.zero() ⇒</h3> |
| <p>set to zero</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+one"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigone-"></a><a href="#bigone-" 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>biG.one() ⇒</h3> |
| <p>set to one</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+iszilch"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigiszilch-"></a><a href="#bigiszilch-" 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>biG.iszilch() ⇒</h3> |
| <p>test for zero</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: True if zero<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+isunity"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigisunity-"></a><a href="#bigisunity-" 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>biG.isunity() ⇒</h3> |
| <p>test for unity</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: True if one<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+cswap"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigcswap"></a><a href="#bigcswap" 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>biG.cswap()</h3> |
| <p>Conditional swap of two BIGs depending on d using XOR - no branches</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: b BIG number<br> |
| <strong>Parameter</strong>: d BIG number<br> |
| <a name="BIG+cmove"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigcmove"></a><a href="#bigcmove" 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>biG.cmove()</h3> |
| <p>Conditional move of BIG depending on d using XOR - no branches</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: b BIG number<br> |
| <strong>Parameter</strong>: d BIG number<br> |
| <a name="BIG+copy"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigcopy-"></a><a href="#bigcopy-" 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>biG.copy() ⇒</h3> |
| <p>Copy from another BIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: The BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG number<br> |
| <a name="BIG+hcopy"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bighcopy-"></a><a href="#bighcopy-" 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>biG.hcopy() ⇒</h3> |
| <p>copy from bottom half of ctx.DBIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: The new BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG number<br> |
| <a name="BIG+rcopy"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigrcopy-"></a><a href="#bigrcopy-" 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>biG.rcopy() ⇒</h3> |
| <p>copy from ROM</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: The BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG number in ROM<br> |
| <a name="BIG+norm"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bignorm-"></a><a href="#bignorm-" 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>biG.norm() ⇒</h3> |
| <p>normalise BIG - force all digits < 2^BASEBITS</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+fshr"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigfshr-"></a><a href="#bigfshr-" 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>biG.fshr() ⇒</h3> |
| <p>Quick Fast shifts a BIG right by a small number of bits - input must be normalised, output will be normalised</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: r The shifted out part<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: k Number of bits to shift<br> |
| <a name="BIG+shr"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigshr-"></a><a href="#bigshr-" 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>biG.shr() ⇒</h3> |
| <p>General shift right by k bits</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: k Number of bits to shift<br> |
| <a name="BIG+fshl"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigfshl-"></a><a href="#bigfshl-" 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>biG.fshl() ⇒</h3> |
| <p>Fast shifts a BIG left by a small number of bits - input must be normalised, output will be normalised</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: r The shifted out part<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: k Number of bits to shift<br> |
| <a name="BIG+shl"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigshl-"></a><a href="#bigshl-" 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>biG.shl() ⇒</h3> |
| <p>General shift left by k bits</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: k Number of bits to shift<br> |
| <a name="BIG+nbits"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bignbits-"></a><a href="#bignbits-" 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>biG.nbits() ⇒</h3> |
| <p>length in bits</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: The number of bigs in BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+toString"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigtostring-"></a><a href="#bigtostring-" 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>biG.toString() ⇒</h3> |
| <p>Convert to string</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: string representation of a BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+add"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigadd-"></a><a href="#bigadd-" 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>biG.add() ⇒</h3> |
| <p>Sum two BIG mumbers</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this+=y<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG object<br> |
| <a name="BIG+or"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigor-"></a><a href="#bigor-" 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>biG.or() ⇒</h3> |
| <p>OR two BIG mumbers</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this|=y<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG object<br> |
| <a name="BIG+plus"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigplus-"></a><a href="#bigplus-" 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>biG.plus() ⇒</h3> |
| <p>Sum two BIG mumbers</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this+x<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: x BIG object<br> |
| <a name="BIG+inc"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="biginc-"></a><a href="#biginc-" 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>biG.inc() ⇒</h3> |
| <p>Sum BIG and integer</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this+=i<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: i Integer to add<br> |
| <a name="BIG+sub"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigsub-"></a><a href="#bigsub-" 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>biG.sub() ⇒</h3> |
| <p>Subtract BIG from one another</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this-=y<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: y BIG object<br> |
| <a name="BIG+rsub"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigrsub-"></a><a href="#bigrsub-" 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>biG.rsub() ⇒</h3> |
| <p>Reverse subtract BIG from one another</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this=x-this<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: x BIG object<br> |
| <a name="BIG+dec"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigdec-"></a><a href="#bigdec-" 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>biG.dec() ⇒</h3> |
| <p>Subtract integer from BIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this-=i<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: i Integer to subtract<br> |
| <a name="BIG+minus"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigminus-"></a><a href="#bigminus-" 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>biG.minus() ⇒</h3> |
| <p>Subtract BIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: New BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: x BIG object<br> |
| <a name="BIG+imul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigimul-"></a><a href="#bigimul-" 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>biG.imul() ⇒</h3> |
| <p>Multiply by small integer</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this*c<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: c small integer<br> |
| <a name="BIG+tobytearray"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigtobytearray"></a><a href="#bigtobytearray" 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>biG.tobytearray()</h3> |
| <p>convert this BIG to byte array</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+toBytes"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigtobytes"></a><a href="#bigtobytes" 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>biG.toBytes()</h3> |
| <p>convert this to byte array</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+muladd"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmuladd"></a><a href="#bigmuladd" 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>biG.muladd()</h3> |
| <p>this[i]+=x*y+c, and return high part</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+pmul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigpmul-"></a><a href="#bigpmul-" 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>biG.pmul() ⇒</h3> |
| <p>multiply by larger int</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: carry value<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: c large integer<br> |
| <a name="BIG+pxmul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigpxmul-"></a><a href="#bigpxmul-" 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>biG.pxmul() ⇒</h3> |
| <p>multiply by still larger int - results requires a DBIG</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: DBIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: c large integer<br> |
| <a name="BIG+div3"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigdiv3-"></a><a href="#bigdiv3-" 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>biG.div3() ⇒</h3> |
| <p>divide by 3</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: carry value<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+mod2m"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmod2m-"></a><a href="#bigmod2m-" 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>biG.mod2m() ⇒</h3> |
| <p>set x = x mod 2^m</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: m Exponent<br> |
| <a name="BIG+invmod2m"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="biginvmod2m-"></a><a href="#biginvmod2m-" 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>biG.invmod2m() ⇒</h3> |
| <p>a=1/a mod 2^256. This is very fast!</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+mod"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmod-"></a><a href="#bigmod-" 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>biG.mod() ⇒</h3> |
| <p>reduce this mod m</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+div"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigdiv-"></a><a href="#bigdiv-" 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>biG.div() ⇒</h3> |
| <p>this/=m1</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Paramter</strong>: m1 divisor<br> |
| <a name="BIG+parity"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigparity-"></a><a href="#bigparity-" 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>biG.parity() ⇒</h3> |
| <p>return parity of this</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <a name="BIG+bit"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigbit-"></a><a href="#bigbit-" 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>biG.bit() ⇒</h3> |
| <p>return n-th bit of this</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: bit value<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: nth bit to return<br> |
| <a name="BIG+lastbits"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="biglastbits-"></a><a href="#biglastbits-" 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>biG.lastbits() ⇒</h3> |
| <p>return last n bits of this</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: bit values<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: n bits to return<br> |
| <a name="BIG+jacobi"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigjacobi-"></a><a href="#bigjacobi-" 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>biG.jacobi() ⇒</h3> |
| <p>Jacobi Symbol (this/p)</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: 0, 1 or -1<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: p BIG number<br> |
| <a name="BIG+invmodp"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="biginvmodp-"></a><a href="#biginvmodp-" 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>biG.invmodp() ⇒</h3> |
| <p>this=1/this mod p. Binary method</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: p The BIG Modulus<br> |
| <a name="BIG+powmod"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigpowmod-"></a><a href="#bigpowmod-" 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>biG.powmod() ⇒</h3> |
| <p>Exponentation modulo m</p> |
| <p><strong>Kind</strong>: instance method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: this^e mod m<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: e1 BIG number<br> |
| <strong>Parameter</strong>: m The BIG Modulus<br> |
| <a name="BIG.frombytearray"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigfrombytearray-"></a><a href="#bigfrombytearray-" 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>BIG.frombytearray() ⇒</h3> |
| <p>convert from byte array to BIG</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG object<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: b Bytearray<br> |
| <a name="BIG.smul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigsmul-"></a><a href="#bigsmul-" 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>BIG.smul() ⇒</h3> |
| <p>return a*b where product fits a BIG</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: a*b<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a BIG number<br> |
| <strong>Parameter</strong>: b BIG number<br> |
| <a name="BIG.comp"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigcomp-"></a><a href="#bigcomp-" 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>BIG.comp() ⇒</h3> |
| <p>Compare a and b</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: 0 if a==b, -1 if a<b, +1 if a>b<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a BIG number (normalised)<br> |
| <strong>Parameter</strong>: b BIG number (normalised<br> |
| <a name="BIG.random"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigrandom-"></a><a href="#bigrandom-" 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>BIG.random() ⇒</h3> |
| <p>Get 8*MODBYTES size random number</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: rng Cryptographically Secure Random Number Generator<br> |
| <a name="BIG.randomnum"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigrandomnum-"></a><a href="#bigrandomnum-" 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>BIG.randomnum() ⇒</h3> |
| <p>Create random BIG in portable way, one bit at a time</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: rng Cryptographically Secure Random Number Generator<br> |
| <strong>Parameter</strong>: q The BIG Modulus<br> |
| <a name="BIG.mul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmul-"></a><a href="#bigmul-" 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>BIG.mul() ⇒</h3> |
| <p>Multiple two BIG numbers</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: a*b as a DBIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a BIG number<br> |
| <strong>Parameter</strong>: b BIG number<br> |
| <a name="BIG.sqr"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigsqr-"></a><a href="#bigsqr-" 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>BIG.sqr() ⇒</h3> |
| <p>Square two BIG numbers</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: a*2 as a DBIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a BIG number<br> |
| <a name="BIG.modmul"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmodmul-"></a><a href="#bigmodmul-" 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>BIG.modmul() ⇒</h3> |
| <p>Multiple two BIG numbers modulo m</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: a1*b1 mod m as a BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a1 BIG number<br> |
| <strong>Parameter</strong>: b1 BIG number<br> |
| <strong>Parameter</strong>: m The BIG Modulus<br> |
| <a name="BIG.modsqr"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmodsqr-"></a><a href="#bigmodsqr-" 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>BIG.modsqr() ⇒</h3> |
| <p>Square a BIG number modulo m</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: a*2 mod m as a BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a1 BIG number<br> |
| <strong>Parameter</strong>: m The BIG Modulus<br> |
| <a name="BIG.modneg"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="bigmodneg-"></a><a href="#bigmodneg-" 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>BIG.modneg() ⇒</h3> |
| <p>Inversion</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: -a1 mod m<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a1 BIG number<br> |
| <strong>Parameter</strong>: m The BIG Modulus<br> |
| <a name="BIG.invmod256"></a></p> |
| <h3><a class="anchor" aria-hidden="true" id="biginvmod256-"></a><a href="#biginvmod256-" 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>BIG.invmod256() ⇒</h3> |
| <p>Arazi and Qi inversion mod 256</p> |
| <p><strong>Kind</strong>: static method of <a href="#BIG"><code>BIG</code></a> <br> |
| <strong>Returns</strong>: BIG number<br> |
| <strong>this</strong>: <code>{BIG}</code> <br> |
| <strong>Parameter</strong>: a BIG number</p> |
| </span></div></article></div><div class="docs-prevnext"><a class="docs-prev button" href="/docs/cryptojs/aes"><span class="arrow-prev">← </span><span>AES</span></a><a class="docs-next button" href="/docs/cryptojs/bls"><span>BLS</span><span class="arrow-next"> →</span></a></div></div></div><nav class="onPageNav"><ul class="toc-headings"><li><a href="#big">BIG</a><ul class="toc-headings"><li><a href="#new-big">new BIG()</a></li><li><a href="#bigzero-">biG.zero() ⇒</a></li><li><a href="#bigone-">biG.one() ⇒</a></li><li><a href="#bigiszilch-">biG.iszilch() ⇒</a></li><li><a href="#bigisunity-">biG.isunity() ⇒</a></li><li><a href="#bigcswap">biG.cswap()</a></li><li><a href="#bigcmove">biG.cmove()</a></li><li><a href="#bigcopy-">biG.copy() ⇒</a></li><li><a href="#bighcopy-">biG.hcopy() ⇒</a></li><li><a href="#bigrcopy-">biG.rcopy() ⇒</a></li><li><a href="#bignorm-">biG.norm() ⇒</a></li><li><a href="#bigfshr-">biG.fshr() ⇒</a></li><li><a href="#bigshr-">biG.shr() ⇒</a></li><li><a href="#bigfshl-">biG.fshl() ⇒</a></li><li><a href="#bigshl-">biG.shl() ⇒</a></li><li><a href="#bignbits-">biG.nbits() ⇒</a></li><li><a href="#bigtostring-">biG.toString() ⇒</a></li><li><a href="#bigadd-">biG.add() ⇒</a></li><li><a href="#bigor-">biG.or() ⇒</a></li><li><a href="#bigplus-">biG.plus() ⇒</a></li><li><a href="#biginc-">biG.inc() ⇒</a></li><li><a href="#bigsub-">biG.sub() ⇒</a></li><li><a href="#bigrsub-">biG.rsub() ⇒</a></li><li><a href="#bigdec-">biG.dec() ⇒</a></li><li><a href="#bigminus-">biG.minus() ⇒</a></li><li><a href="#bigimul-">biG.imul() ⇒</a></li><li><a href="#bigtobytearray">biG.tobytearray()</a></li><li><a href="#bigtobytes">biG.toBytes()</a></li><li><a href="#bigmuladd">biG.muladd()</a></li><li><a href="#bigpmul-">biG.pmul() ⇒</a></li><li><a href="#bigpxmul-">biG.pxmul() ⇒</a></li><li><a href="#bigdiv3-">biG.div3() ⇒</a></li><li><a href="#bigmod2m-">biG.mod2m() ⇒</a></li><li><a href="#biginvmod2m-">biG.invmod2m() ⇒</a></li><li><a href="#bigmod-">biG.mod() ⇒</a></li><li><a href="#bigdiv-">biG.div() ⇒</a></li><li><a href="#bigparity-">biG.parity() ⇒</a></li><li><a href="#bigbit-">biG.bit() ⇒</a></li><li><a href="#biglastbits-">biG.lastbits() ⇒</a></li><li><a href="#bigjacobi-">biG.jacobi() ⇒</a></li><li><a href="#biginvmodp-">biG.invmodp() ⇒</a></li><li><a href="#bigpowmod-">biG.powmod() ⇒</a></li><li><a href="#bigfrombytearray-">BIG.frombytearray() ⇒</a></li><li><a href="#bigsmul-">BIG.smul() ⇒</a></li><li><a href="#bigcomp-">BIG.comp() ⇒</a></li><li><a href="#bigrandom-">BIG.random() ⇒</a></li><li><a href="#bigrandomnum-">BIG.randomnum() ⇒</a></li><li><a href="#bigmul-">BIG.mul() ⇒</a></li><li><a href="#bigsqr-">BIG.sqr() ⇒</a></li><li><a href="#bigmodmul-">BIG.modmul() ⇒</a></li><li><a href="#bigmodsqr-">BIG.modsqr() ⇒</a></li><li><a href="#bigmodneg-">BIG.modneg() ⇒</a></li><li><a href="#biginvmod256-">BIG.invmod256() ⇒</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. 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