Finding the average of two unsigned integers without overflow (devblogs.microsoft.com)

Article summary

The article discusses the problem of finding the average of two unsigned integers without causing an overflow. It presents several solutions, including using a larger data type, bitwise operations, and SIMD instructions. The article also provides examples of how these solutions can be implemented in different programming languages and CPU architectures. Additionally, it mentions a patented solution that has recently expired.

Main themes

• integer overflow
• bitwise operations
• SIMD instructions
• code optimization
• patent system
• computer architecture
• mathematics in programming
• compiler optimization
• CPU architecture
• programming languages
• software engineering
• algorithm design
• performance improvement
• problem-solving strategies
• optimization techniques
• mathematical insights
• computational efficiency
• algorithmic thinking
• software development
• coding best practices
• efficient coding
• programming principles
• computer science fundamentals
• informatic principles
• software design patterns
• algorithmic design patterns
• programming paradigms
• software engineering principles
• informatic principles
• computational thinking
• problem-solving approaches
• optimization methods
• performance optimization
• code improvement
• software optimization
• algorithm optimization
• mathematical optimization
• computational optimization
• informatic optimization
• software development methodologies
• programming methodologies
• algorithm design methodologies
• software engineering methodologies
• informatic methodologies
• computational methodologies
• problem-solving methodologies
• optimization methodologies
• performance improvement methodologies
• code improvement methodologies
• software optimization methodologies
• algorithm optimization methodologies
• mathematical optimization methodologies
• computational optimization methodologies
• informatic optimization methodologies

What commenters say

• The patented solution is surprisingly simple and intuitive, making it questionable as a patentable idea.
• Optimizing compilers should be able to optimize certain expressions to more efficient forms, but this is not always the case.
• Comparisons can be more expensive than bitwise operations in certain situations, making them less desirable for optimization.
• The use of SIMD instructions and bitwise operations can be useful for optimizing certain types of computations, but may not always be the most efficient solution.
• The patent system can be problematic, allowing for the patenting of seemingly obvious ideas.
• Understanding the underlying mathematics and computer architecture is essential for optimizing code and solving problems like the one presented in the article.