Tag Archives: precision

Floating Point in the Browser, Part 3: When x+y=x (y != 0)

A few years ago I did a lot of thinking and writing about floating-point math. It was good fun, and I learned a lot in the process, but sometimes I go a long time without actually using that hard-earned knowledge. … Continue reading

Posted in Chromium, Computers and Internet, Floating Point | Tagged , | 5 Comments

Floating Point in the Browser, Part 2: Bad Epsilon

A few years ago I did a lot of thinking and writing about floating-point math. It was good fun, and I learned a lot in the process, but sometimes I go a long time without actually using that hard-earned knowledge. … Continue reading

Posted in Chromium, Computers and Internet, Floating Point | Tagged , | 2 Comments

Floating Point in the Browser, Part 1: Impossible Expectations

A few years ago I did a lot of thinking and writing about floating-point math. It was good fun, and I learned a lot in the process, but sometimes I go a long time without actually using that hard-earned knowledge. … Continue reading

Posted in Chromium, Computers and Internet, Floating Point | Tagged , | 21 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 | | 24 Comments

Floating-point complexities

Binary floating-point math is complex and subtle. I’ve collected here a few of my favorite oddball facts about IEEE floating-point math, based on the articles so far in my floating-point series. The focus in this list is on float but … Continue reading

Intermediate Floating-Point 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 zero-idealism points and forty two … Continue reading

C++ 11 std::async for Fast Float Format Finding

After a recent post on float precision there was some debate about round-tripping of floats. My claim was that if you print a float with printf(“%1.8e”, f); and then scan it back in then you are guaranteed to get back … Continue reading

Posted in Floating Point, Programming, Visual Studio | Tagged , , , | 24 Comments

Float Precision–From Zero to 100+ Digits

How much precision does a float have? It depends on the float, and it depends on what you mean by precision. Typical reasonable answers range from 6-9 decimal digits, but it turns out that you can make a case for … Continue reading