iPhone 4 and iPad 2: Advantages of fixed point arithmetic over floating point
By : user2905423
Date : March 29 2020, 07:55 AM
This might help you The iPhone 3G armv6 CPU had a VFP pipelined floating point unit that had a higher throughput than doing the same calculations in integer. GCC does support generating VFP instructions scheduled for pipelining. The iPhone 3GS and iPhone 4 armv7 CPU does not have a pipelined VFP unit, and is thus actually slightly slower at some floating point sequences than the iPhone 3G; but the armv7 processor is faster at vectorizable short floating point because it has the NEON parallel vector unit instead. Some Android device CPUs don't have any hardware floating point unit at all, so the OS uses software emulation for FP, which can be more than an order of magnitude slower than integer or fixedpoint. A general rule of thumb might be that if your algorithms can deal with only 24 bits of mantissa precision, and don't do a lot of conversions between float and integer, use short floating point on iOS. It's almost always faster.

FloatingPoint Arithmetic = What is the worst precision/difference from Dec to Binary?
By : Max
Date : March 29 2020, 07:55 AM
it should still fix some issue It is not entirely clear to me what you are after, but you may be interested in the following paper which discusses many of the accuracy issues involved in binary/decimal conversion, including lists of hard cases. Vern Paxson and William Kahan. A program for testing IEEE decimalbinary conversion. May 22, 1991 http://www.icir.org/vern/papers/testbasereport.pdf

Block Floating Point versus Regular Floating Point Arithmetic
By : Madhav theengh
Date : March 29 2020, 07:55 AM
it fixes the issue you'd only use block FP when fixedpoint doesn't give you the dynamic range needed, and you can't afford the gates or power to go to full FP. It might be appropriate for an FFT, for example (which needs lots of dynamic range), where you need cheap hardware. Block FP will also give you higher precision than full FP for the same word width, assuming that you can live with the dynamic range problem. Lots of stuff on Google. Having said that, I haven't seen a commercial block FP implementation for over 10 years, though I haven't been looking.

How do you perform floating point arithmetic on two floating point numbers?
By : Yus Tinus Yulius
Date : March 29 2020, 07:55 AM

Floating point arithmetic
By : hien huynh
Date : March 29 2020, 07:55 AM
I wish this helpful for you In IEEE754 round to nearest even modes you have some nice properties. First, for any finite float x and n<54, (2^n1)x+x == 2^nx See Is 3*x+x always exact?

