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https://issues.apache.org/jira/browse/RNG-113?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16909455#comment-16909455
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Gilles commented on RNG-113:
----------------------------

bq. The Pcg32 implementation of nextInt() creates the int from a primitive cast 
conversion of a long.

Why isn't Pcg32 a {{LongProvider}}?

> Speed improvement to PCG 32 Xsh-Rs implementation
> -------------------------------------------------
>
>                 Key: RNG-113
>                 URL: https://issues.apache.org/jira/browse/RNG-113
>             Project: Commons RNG
>          Issue Type: Improvement
>          Components: core
>    Affects Versions: 1.3
>            Reporter: Alex D Herbert
>            Priority: Minor
>
> Investigate a possible speed increase for the PCG 32 Xsh-Rs generator for the 
> methods nextLong and nextDouble.
> The default implementation for nextLong() and nextDouble() for IntProvider is:
> {code:java}
> public long nextLong() {
>     return NumberFactory.makeLong(nextInt(), nextInt());
> }
> public double nextDouble() {
>     return NumberFactory.makeDouble(nextInt(), nextInt());
> }
> {code}
> Each of these methods composes a long from two int values converted to long.
> The Pcg32 implementation of nextInt() creates the int from a primitive cast 
> conversion of a long. *Thus the current default implementation for nextLong 
> and nextDouble is performing a round trip of a long to an int to a long twice 
> over.* The same logic can be implemented by a special implementation of the 
> methods that work only using long types.
> {code:java}
> public long nextLong() {
>     // Get two values from the LCG
>     final long x = state;
>     final long y = bump(state);
>     state = bump(y);
>     // Perform mix function.
>     // For a 32-bit output the x bits should be shifted down (22 + (int) (x 
> >>> 61)).
>     // Leave in the upper bits by shift up 32 - (22 + (int) (x >>> 61))
>     final long upper = (x ^ (x >>> 22)) << (10 - (int) (x >>> 61));
>     final long lower = (y ^ (y >>> 22)) >>> (22 + (int) (y >>> 61));
>     return (upper & 0xffffffff00000000L) | (lower & 0xffffffffL);
> }
> /** Upper mask for top 26 bits shifted by 27 bits. */
> private static final long MASK1 = ((long) (0xffffffff >>> 6)) << 27;
> /** Lower mask shifted by 5 for 27 bits. */
> private static final long MASK2 = 0xffffffffL >>> 5;
> public double nextDouble() {
>     // Get two values from the LCG
>     final long x = state;
>     final long y = bump(state);
>     state = bump(y);
>     // Perform mix function.
>     // For a 32-bit output the x bits should be shifted down (22 + (int) (x 
> >>> 61)).
>     // To match nextDouble requires 26-bits from int 1 and 27 bits from int 2.
>     // Int 1 is stored in the upper 32-bits as per nextLong() but shifted 
> down 11 and
>     // then masked to keep the upper 26-bits. Discard an extra 5 from int 2.
>     final long upper = (x ^ (x >>> 22)) >>> (1 + (int) (x >>> 61));
>     final long lower = (y ^ (y >>> 22)) >>> (27 + (int) (y >>> 61));
>     return ((upper & MASK1) | (lower & MASK2)) * 0x1.0p-53;
> }
> {code}
> These implementations require that the private {{state}} member and 
> {{bump()}} method of the parent AbstractPcg6432 are made accessible.
> The change should be tested to determine if there is a performance increase 
> with a custom implementation.



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