OpenCL integer rounding in C

Square_rounding
Square pant rounding can simply be implemented with “return (NAN);“.

Getting about the same code in C and OpenCL has lots of advantages, when maximum optimisations and vectors are not needed. One thing I bumped into myself was that rounding in C++ is different, and decided to implement the OpenCL-functions for rounding in C.

The OpenCL-page for rounding describes many, many functions with this line:

destType convert_destType<_sat><_roundingMode>(sourceType)

So for each sourceType-destType combination there is a set of functions: 4 rounding modes and an optional saturation. Easy in Ruby to define each of the functions, but takes a lot more time in C.

The 4 rounding modes are:

Modifier Rounding Mode Description
_rte Round to nearest even
_rtz Round towards zero
_rtp Round toward positive infinity
_rtn Round toward negative infinity

The below pieces of code should also explain what the functions actually do.

Round to nearest even

This means that the numbers get rounded to the closest number. In case of 3.5 and 4.5, they both round to the even number 4. Thanks for Dithermaster, for pointing out my wrong assumption and clarifying how it should work.

inline int convert_int_rte (float number) {
   int sign = (int)((number > 0) - (number < 0));
   int odd = ((int)number % 2); // odd -> 1, even -> 0
   return ((int)(number-sign*(0.5f-odd)));
}

I’m sure there is a more optimal implementation. You can fix that in Github (see below).

Round to zero

This means that positive numbers are rounded up, negative numbers are rounded down. 1.6 becomes 1, -1.6 also becomes 1.

inline int convert_int_rtz (float number) {
   return ((int)(number));
}

Effectively, this just removes everything behind the point.

Round to positive infinity

1.4 becomes 2, -1.6 becomes 1.

inline int convert_int_rtp (float number) {
   return ((int)ceil(number));
}

Round to negative infinity

1.6 becomes 1, -1.4 becomes 2.

inline int convert_int_rtp (float number) {
   return ((int)floor(number));
}

Saturation

Saturation is another word for “avoiding NaN”. It makes sure that numbers are between INT_MAX and INT_MIN, and that NaN returns 0. If not used, the outcome of the function can be anything (-2147483648 in case of convert_int_rtz(NAN) on my computer). Saturation is more expensive, so therefore it’s optional.

inline float saturate_int(float number) {
  if (isnan(number)) return 0.0f; // check if the number was already NaN
  return (number>MAX_INT ? (float)MAX_INT : number

Effectively the other functions become like:

inline int convert_int__sat_rtz (float number) {
   return ((int)(saturate_int(number)));
}

Doubles, longs and getting started.

Yes, you need to make functions for all of these. But you could ofcourse also check out the project on Github (BSD licence, rudimentary first implementation).

You’re free to make a double-version of it.

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