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### Numeric Limits

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 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 `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).