Boost C++ Libraries

...one of the most highly regarded and expertly designed C++ library projects in the world. — Herb Sutter and Andrei Alexandrescu, C++ Coding Standards

Tutorial

Integer Types

Factorials
Bit Operations

Floating-point Types

cpp_bin_float

cpp_dec_float

Construction from Specific Values Without Precision Loss
Area of Circle
Drop-in Caveats
Defining a Special Function.
Calculating a Derivative
Calculating an Integral
Polynomial Evaluation
Variable-Precision Newton Evaluation
Gauss-Laguerre quadrature

Interval Number Types

mpfi_float

Complex Number Types

cpp_complex
mpc_complex
complex128
complex_adaptor

Rational Number Types

cpp_rational
gmp_rational
tommath_rational
tommath_rational
rational_adaptor

Miscellaneous Number Types.

logged_adaptor
debug_adaptor
Visual C++ Debugger Visualizers

Forward Declarations

Constructing and Interconverting Between Number Types

Generating Random Numbers

Primality Testing

Literal Types and constexpr Support

Importing and Exporting Data to and from cpp_int and cpp_bin_float

Rounding Rules for Conversions

Mixed Precision Arithmetic

Variable Precision Arithmetic

Generic Integer Operations

Boost.Serialization Support

Numeric Limits

std::numeric_limits<> constants
std::numeric_limits<> functions
Numeric limits for 32-bit platform
How to Determine the Kind of a Number From std::numeric_limits

Input Output

Hash Function Support

Eigen Interoperability

Writing a New Backend

In order to use this library you need to make two choices:

What kind of number do I want (integer, floating-point, rational, or complex).
Which back-end do I want to perform the actual arithmetic (Boost-supplied, GMP, MPFR, MPC, Tommath etc)?