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  1. guava/src/com/google/common/math/LongMath.java

            long bHi = b >>> 32; // < 2^31
            long aLo = a & 0xFFFFFFFFL; // < 2^32
            long bLo = b & 0xFFFFFFFFL; // < 2^32
    
            /*
             * a * b == aHi * bHi * 2^64 + (aHi * bLo + aLo * bHi) * 2^32 + aLo * bLo.
             *       == (aHi * bHi * 2^32 + aHi * bLo + aLo * bHi) * 2^32 + aLo * bLo
             *
             * We carry out this computation in modular arithmetic. Since times2ToThe32Mod accepts any
    Created: Fri Dec 26 12:43:10 GMT 2025
    - Last Modified: Mon Nov 03 21:01:09 GMT 2025
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