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The IEEE 754 specification—followed by all modern floating-point hardware—requires that the result of an elementary arithmetic operation (addition, subtraction, multiplication, division, and square root since 1985, and FMA since 2008) be correctly rounded, which implies that in rounding to nearest, the rounded result is within 0.5 ulp of ...
In C++, the C++20 revision adds the spaceship operator <=>, which returns a value that encodes whether the 2 values are equal, less, greater, or unordered and can return different types depending on the strictness of the comparison. [3] The name's origin is due to it reminding Randal L. Schwartz of the spaceship in an HP BASIC Star Trek game. [4]
Comparison of floating-point numbers, as defined by the IEEE standard, is a bit different from usual integer comparison. ... "Microsoft Visual C++ Floating-Point ...
The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic originally established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and ...
Floating-point types, [133] pointers and references and unions and union-like classes (class types containing anonymous unions) are now allowed as NTTP. Function identity now also includes trailing requires-clauses (P1971) Constrained non-template functions have been removed <compare> is now available in freestanding implementations [134]
IEEE 754-1985 [1] is a historic industry standard for representing floating-point numbers in computers, officially adopted in 1985 and superseded in 2008 by IEEE 754-2008, and then again in 2019 by minor revision IEEE 754-2019. [2]
Lastly we have the problem wherein the storage of the floating point data may be in big endian or little endian memory order and thus the sign bit could be in the least significant byte or the most significant byte. Therefore the use of type punning with floating point data is a questionable method with unpredictable results.
C99 adds several functions and types for fine-grained control of floating-point environment. [3] These functions can be used to control a variety of settings that affect floating-point computations, for example, the rounding mode, on what conditions exceptions occur, when numbers are flushed to zero, etc.