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Category Archives: Floating Point
Intel Underestimates Error Bounds by 1.3 quintillion
Intel’s manuals for their x86/x64 processor clearly state that the fsin instruction (calculating the trigonometric sine) has a maximum error, in roundtonearest mode, of one unit in the last place. This is not true. It’s not even close. The worstcase … Continue reading
Posted in Floating Point, Investigative Reporting, Programming
Tagged accuracy, fsin, transcendentals
107 Comments
Please Calculate This Circle’s Circumference
“Please write a C++ function that takes a circle’s diameter as a float and returns the circumference as a float.” It sounds like the sort of question you might get in the first week of a C++ programming class. And … Continue reading
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
FloatingPoint Determinism
Is IEEE floatingpoint math deterministic? Will you always get the same results from the same inputs? The answer is an unequivocal “yes”. Unfortunately the answer is also an unequivocal “no”. I’m afraid you will need to clarify your question. My … 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
14 Comments
Game Developer Magazine Floating Point
This is for references, code examples, and discussion regarding the floatingpoint article in the October 2012 Game Developer Magazine.