flawed floating-point math to be replaced by interval arithmetic
Did you know that intervals computation eliminates floting point errors? Wow!
Bill Walster:The mother of all paradigm shifts
While the inner workings of interval arithmetic are beyond the scope of this article, we can be sure of this much: Intervals work -- amazingly well. Walster uses fighter jets as a real example.
"You don't want the pilot to punch the throttle and have the engine flame out," he says, "so you have a whole set of electronics to monitor everything and not allow things to happen that will damage the engine or cause it to lose power."
[...]
In this example, more accurate equipment can mean safer planes for pilots.
"One F-16 control mechanism was altitude sensitive, so they originally had three different non-interval algorithms, derived heuristically. Trial and error. This one worked from 0 to 10,000 feet, the next one from 10,000 to 20,000 feet, and the third one from 20,000 to 30,000 feet," Walster says. "Then, in India, they developed an interval algorithm -- one algorithm for the full altitude range -- and at every altitude it was better than the other three."
Imagine the implications of this one example for product liability alone. Should a product fail and injure someone, the plaintiffs lawyer will want to know how it was designed -- using flawed floating-point arithmetic or demonstrably superior, commercially available interval analysis?
See also:
Interval Computations
Interval Computations: Introduction and Technical issues
Interval (mathematics) - Wikipedia, the free encyclopedia
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