c# - What is the greatest inaccuracy in a range of floats? -

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Given two textual values ​​( flow and fHigh ) after

), How could you calculate the largest or maximum jump / gap between two consecutive values ​​

For example:?

range in 16777217f to 20000000f Answer 2 to , the value effectively counted in the nearest two is.

This is scratching my head to normalize an arbitrary boundary - any suggestions?

Cheers,

It should be neutral language, but I am using C # (which is similar to IEEE-754, I think).

This is in C. There are some IEEE 754 requires practice, roundness and so IEEE 754 64-bit binary ( double ), SmallestPositive 2 -1074 , almost 4.9406564584124654417656879286822137236505980261e-324, and DBL_EPSILON 2 -52 , 2.220446049250313080847263336181640625-16 32-bit binary ( float ), DBL the FLT and double to float whether they have any visible (and fabs fabsf < / Code> and fmax to fmaxf , though it does not change these changes Education should work). Then is the smallest positive 2 -149 , almost 1.401298464324817070923729583289916131280261941876515771757068283889791e-45, and FLT_EPSILON 2 -23 , 1.1920928955078125e-07.

For an interval between the two values, the largest step size is definitely the phase size at the end point with the larger size. (That end point, right two has a power, it does not appear in the next step size interval from that point to the next, so that is a special case.) 

  # Includes & lt; Float.h & gt; # Include & lt; Math.h> / * Returns the ULP of Q. This algorithm is 3.5 by Sigfried M. Ramp, Takeshi Ojita and Shinchi Oshi, "precision floating-point summation", _Technical report 05kl2_, faculty, Hamburg University of Technology for Information and Communication Sciences, was inspired from November 13, 2005. . * / Double ULP (Double Q) {// Smallest positive is the most positive positive point number. Static Const Double Smalite Positive = DBL_Apcilon * DBL_ MIN; / * Scale is .75 ULP, hence it is growing with any importance and in some [.75 ULP, 1.5 ULP] in [1, 2], some yields (even with the goal). * / Constant Construct Double Scale = 0.75 * DBL_EPSILON; Q = Fabs (Q); Returns FMX (smallest, positive - q - (q - q * scale)); }

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