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33 changes: 24 additions & 9 deletions math/base/special/gcdf/binary_gcd.js.html
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'use strict';
&nbsp;
/**
* Computes the greatest common divisor (gcd) of two single-precision floating point numbers using the binary GCD algorithm.
* Computes the greatest common divisor (gcd) of two single-precision floating-point numbers using the binary GCD algorithm.
*
* ## References
*
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* @returns {integer} greatest common divisor
*
* @example
* var v = gcdf( 16777216.0, 65536.0 );
* var v = gcdf( 16777216, 65536 );
* // returns 65536
*/
function gcdf( a, b ) {
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if ( b === 0 ) {
return a;
}
&nbsp;
// Reduce `a` and/or `b` to odd numbers and keep track of the greatest power of 2 dividing both `a` and `b`...
while ( a%2 === 0 &amp;&amp; b%2 === 0 ) {
while ( a % 2 === 0 &amp;&amp; b % 2 === 0 ) {
a /= 2; // right shift
b /= 2; // right shift
k *= 2; // left shift
}
&nbsp;
// Reduce `a` to an odd number...
while ( a%2 === 0 ) {
while ( a % 2 === 0 ) {
a /= 2; // right shift
}
&nbsp;
// Henceforth, `a` is always odd...
while ( b ) {
// Remove all factors of 2 in `b`, as they are not common...
while ( b%2 === 0 ) {
while ( b % 2 === 0 ) {
b /= 2; // right shift
}
&nbsp;
// `a` and `b` are both odd. Swap values such that `b` is the larger of the two values, and then set `b` to the difference (which is even)...
if ( a &gt; b ) {
t = b;
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}
b -= a; // b=0 iff b=a
}
&nbsp;
// Restore common factors of 2...
return k * a;
}
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'use strict';
&nbsp;
/**
* Computes the greatest common divisor (gcd) of two single-precision floating point numbers using the binary GCD algorithm and bitwise operations.
* Computes the greatest common divisor (gcd) of two single-precision floating-point numbers using the binary GCD algorithm and bitwise operations.
*
* ## References
*
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if ( b === 0 ) {
return a;
}
&nbsp;
// Reduce `a` and/or `b` to odd numbers and keep track of the greatest power of 2 dividing both `a` and `b`...
while ( (a &amp; 1) === 0 &amp;&amp; (b &amp; 1) === 0 ) {
while ( ( a &amp; 1 ) === 0 &amp;&amp; ( b &amp; 1 ) === 0 ) {
a &gt;&gt;&gt;= 1; // right shift
b &gt;&gt;&gt;= 1; // right shift
k += 1;
}
&nbsp;
// Reduce `a` to an odd number...
while ( (a &amp; 1) === 0 ) {
while ( ( a &amp; 1 ) === 0 ) {
a &gt;&gt;&gt;= 1; // right shift
}
&nbsp;
// Henceforth, `a` is always odd...
while ( b ) {
// Remove all factors of 2 in `b`, as they are not common...
while ( (b &amp; 1) === 0 ) {
while ( ( b &amp; 1 ) === 0 ) {
b &gt;&gt;&gt;= 1; // right shift
}
&nbsp;
// `a` and `b` are both odd. Swap values such that `b` is the larger of the two values, and then set `b` to the difference (which is even)...
if ( a &gt; b ) {
t = b;
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}
b -= a; // b=0 iff b=a
}
&nbsp;
// Restore common factors of 2...
return a &lt;&lt; k;
}
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'use strict';
&nbsp;
/**
* Compute the greatest common divisor (gcd) of two single-precision floating point numbers.
* Compute the greatest common divisor (gcd) of two single-precision floating-point numbers.
*
* @module @stdlib/math/base/special/gcdf
*
Expand All @@ -190,7 +190,7 @@ <h1><a href="../../../../../index.html">All files</a> / <a href="index.html">mat
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// MAIN //
&nbsp;
/**
* Computes the greatest common divisor (gcd) of two single-precision floating point numbers.
* Computes the greatest common divisor (gcd) of two single-precision floating-point numbers.
*
* @param {integer} a - first number
* @param {integer} b - second number
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// MAIN //
&nbsp;
/**
* Computes the greatest common divisor (gcd) of two single-precision floating point numbers.
* Computes the greatest common divisor (gcd) of two single-precision floating-point numbers.
*
* @private
* @param {number} a - first number
Expand Down Expand Up @@ -223,7 +223,7 @@ <h1><a href="../../../../../index.html">All files</a> / <a href="index.html">mat
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