Comment by stephencanon
7 hours ago
Numerical analysis people do not like it. Having _explicitly controlled_ wider accumulation available is great. Having compilers deciding to do it for you or not in unpredictable ways is anathema.
7 hours ago
Numerical analysis people do not like it. Having _explicitly controlled_ wider accumulation available is great. Having compilers deciding to do it for you or not in unpredictable ways is anathema.
It isn’t harmful, right? Just like getting a little accuracy from a fused multiply add. It just isn’t useful if you can’t depend on it.
It can be harmful. In GCC while compiling a 32 bit executable, making an std::map< float, T > can cause infinite loops or crashes in your program.
This is because when you insert a value into the map, it has 80 bit precision, and that number of bits is used when comparing the value you are inserting during the traversal of the tree.
After the float is stored in the tree, it's clamped to 32 bits.
This can cause the element to be inserted into into the wrong order in the tree, and this breaks the assumptions of the algorithm leaidng to the crash or infinite loop.
Compiling for 64 bits or explicitly disabling x87 float math makes this problem go away.
I have actually had this bug in production and it was very hard to track down.
10 years ago, a coworker had a really hard time root-causing a bug. I shoulder-debugged it by noticing the bit patterns: it was a miscompile of LLVM itself by GCC, where GCC was using an x87 fldl/fstpl move for a union { double; int64; }. The active member was actually the int64, and GCC chose FP moved based on what was the first member of the union... but the int64 happened to be the representation of SNaN, so the instructions transformed it quietly to a qNaN as part of moving. The "fix" was to change the order of the union's members in LLVM. The bug is still open, though it's had recent activity: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=58416
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What use case do you have that requires indexing a hashmap by a floating point value? Keep in mind, even with a compliant implementation that isn't widening your types behind your back, you still have to deal with NaN.
In fact, Rust has the Eq trait specifically to keep f32/f64s out of hash tables, because NaN breaks them really bad.
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Are you mixing up long double with float?
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dang that's a good war story.
I suppose it could be harmful if you write code that depends on it without realizing it, and then something changes so it stops doing that.
If not done properly, double rounding (round to extended precision then rounding to working precision) can actually introduce larger approximation error than round to nearest working precision directly. So it can actually make some numerical algorithms perform worse.