I have to analyse a large amount of data using Python3 (PyPy implementation), where I do some operations on quite large floats, and must check if the results are close enough to integers. To exempl...

One way of increasing precision beyond that of a double (e.g. if my application is doing something space-related that needs to represent accurate positions over distances of many light-years) is to...

When I first got a Haswell processor I tried implementing FMA to determine the Mandelbrot set. The main algorithm is this: intn = 0; for(int32_t i=0; i<maxiter; i++) { floatn x2 = square(x), y...

I've seen in wikipedia that someway to implement quad-precision is to use double-double arithmetic even if it's not exactly the same precision in terms of bits: https://en.wikipedia.org/wiki/Quadru...

If one were to emulate double precision floating point with two single precision floating points what would the performance be like, and can it be done well? Currently Nvidia is charging quite a p...

I am writing a program for an embedded hardware that only supports 32-bit single-precision floating-point arithmetic. The algorithm I am implementing, however, requires a 64-bit double-precision ad...

Context: double-double arithmetic “Double-double” is a representation of numbers as the sum of two double-precision numbers without overlap in the significands. This representation takes advantage ...

Following papers and source code for double-double arithmetic for some time, I still can't find out how exactly a dd_real ( defined as struct dd_real { double x[2];...}) number is split into two do...