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Tag Archives: floating point
There are Only Four Billion Floats–So Test Them All!
A few months ago I saw a blog post touting fancy new SSE3 functions for implementing vector floor, ceil, and round functions. There was the inevitable proud proclaiming of impressive performance and correctness. However the ceil function gave the wrong … Continue reading
Float Precision Revisited: Nine Digit Float Portability
Last year I pointed out that float variables can be converted to text and then back to the same binary value using printf(“%1.8e”). You can also use %.9g for more compact results. I also supplied a test program that used … Continue reading
Posted in Floating Point
Tagged float, floating point, floating point precision, printf, scanf
18 Comments
Doubles are not floats, so don’t compare them
I’ve seen a few online discussions linking to my Comparing Floating Point Numbers page for misguided reasons and I wanted to discuss those reasons to help people understand why throwing epsilons at the problem without understanding the situation is a … Continue reading
Posted in Floating Point, Programming
Tagged base conversion, epsilon, float, floating point, precision
25 Comments
That’s Not Normal–the Performance of Odd Floats
Denormals, NaNs, and infinities round out the set of standard floatingpoint values, and these important values can sometimes cause performance problems. The good news is, it’s getting better, and there are diagnostics you can use to watch for problems. In … Continue reading
Posted in AltDevBlogADay, Floating Point, Performance, Programming
Tagged denormal, floating point, infinity, NaN, special numbers, specials
16 Comments
Exceptional Floating Point
Floatingpoint math has an answer for everything, but sometimes that’s not what you want. Sometimes instead of getting an answer to the question sqrt(1.0) (it’s NaN) it’s better to know that your software is asking imaginary questions. The IEEE standard … Continue reading
Posted in AltDevBlogADay, Floating Point, Programming
Tagged divide by zero, double, exceptions, float, floating point
24 Comments
Floatingpoint complexities
Binary floatingpoint math is complex and subtle. I’ve collected here a few of my favorite oddball facts about IEEE floatingpoint math, based on the articles so far in my floatingpoint series. The focus in this list is on float but … Continue reading
Posted in AltDevBlogADay, Floating Point, Programming
Tagged comparing, denormal, digits, float, floating point, floating point precision, floating point tricks, precision, printing
15 Comments
Intermediate FloatingPoint Precision
Riddle me this Batman: how much precision are these calculations evaluated at? If you answered ‘double’ and ‘float’ then you score one point for youthful idealism, but zero points for correctness. The correct answer, for zeroidealism points and forty two … Continue reading