Thanks for the review and comments: The comments and suggestions are included in the updated webrev: http://cr.openjdk.java.net/~rriggs/6708398.1
* Corrected error in multipleExact(long,long) with the special case Long.MIN_VALUE * -1. * Verified that retaining the optimization for small (2^31) arguments is worthwhile, not doing the divide saves about 1/2 on the execution time. * Removed the negateExact methods since they don't pull their weight in the API, simple tests for MIN_VALUE and MAX_VALUE can be done by the developer more efficiently. * Simplified the arguments to the ArithmeticExceptions to be simple strings since debugging this kind of exception requires the source code. * Expanded the comments in the implementation include descriptions and references to the Hackers Delight where they are used. * Updated the tests to include missing test cases More comments, please Thanks, Roger