Boost.Multiprecision tries hard to implement std::numeric_limits for all types as far as possible and meaningful because experience with Boost.Math has shown that this aids portability.

The C++ standard library defines std::numeric_limits in section 18.3.2.

This in turn refers to the C standard SC22/WG11 N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1 Information technology Language independent arithmetic Part 1: Integer and floating-point arithmetic.

That C Standard in turn refers to

IEEE754 IEEE Standard for Binary Floating-Point Arithmetic

There is a useful summary of std::numeric_limits at C++ reference.

The chosen backend often determines how completely std::numeric_limits is available.

Compiler options, processor type, and definition of macros or assembler instructions to control denormal numbers will alter the values in the tables given below.

	Warning
	GMP's extendable floatin-point mpf_t does not have a concept of overflow: operations that lead to overflow eventually run of out of resources and terminate with stack overflow (often after several seconds).