Welcome to gmpy2’s documentation!

gmpy2 is a C-coded Python extension module that supports multiple-precision arithmetic. It is the successor to the original gmpy module (supported only the GMP library). gmpy2 adds support for the MPFR (correctly rounded real floating-point arithmetic) and MPC (correctly rounded complex floating-point arithmetic) libraries.

The following libraries are supported:

• GMP for integer and rational arithmetic (https://gmplib.org)

• MPFR (https://www.mpfr.org)

• MPC (https://www.multiprecision.org/mpc/)

• Generalized Lucas sequences and primality tests are based on the following code:

  • mpz_lucas: https://sourceforge.net/projects/mpzlucas/

  • mpz_prp: https://sourceforge.net/projects/mpzprp/

Contents

• Overview
• Installation
  • From Sources
• Tutorial
• Integers
  • mpz type
  • mpz Functions
• Integers (Advanced topics)
  • The xmpz type
  • Advanced Number Theory Functions
• Rationals
  • mpq type
  • mpq Functions
• Contexts
  • Context Type
  • Context Functions
• Exceptions
  • RangeError
  • InexactResultError
  • OverflowResultError
  • UnderflowResultError
  • InvalidOperationError
  • DivisionByZeroError
• Multiple-precision Reals
  • mpfr Type
  • mpfr Functions
• Multiple-precision Complex
  • mpc Type
  • mpc Functions
• Generic Functions
  • add()
  • div()
  • mul()
  • sub()
  • square()
  • f2q()
  • fma()
  • fms()
  • cmp_abs()
• Miscellaneous Functions
  • digits()
  • from_binary()
  • license()
  • mp_limbsize()
  • mp_version()
  • mpc_version()
  • mpfr_version()
  • random_state()
  • to_binary()
  • version()
• Cython usage
  • Initialization
  • Types
  • Object creation
  • Access to the underlying C type
  • Compilation
• Conversion Methods
  • Arithmetic operations
• Release Notes
  • Changes in gmpy2 2.2.1
  • Changes in gmpy2 2.2.0
  • Changes in gmpy2 2.1.5
  • Changes in gmpy2 2.1.4
  • Changes in gmpy2 2.1.3
  • Changes in gmpy2 2.1.2
  • Changes in gmpy2 2.1.1
  • Changes in gmpy2 2.1.0
  • Changes in gmpy2 2.1.0rc2
  • Changes in gmpy2 2.1.0rc1
  • Changes in gmpy2 2.1.0b6
  • Changes in gmpy2 2.1.0b5
  • Changes in gmpy2 2.1.0b4
  • Changes in gmpy2 2.1.0b3
  • Changes in gmpy2 2.1.0b2
  • Changes in gmpy2 2.1.0b1
  • Changes in gmpy2 2.1.a05
  • Changes in gmpy2 2.1.0a4
  • Changes in gmpy2 2.1.0a3
  • Changes in gmpy2 2.1.0a2
  • Changes in gmpy2 2.1.0a1
  • Changes in gmpy2 2.0.4
  • Changes in gmpy2 2.0.3
  • Changes in gmpy2 2.0.2
  • Changes in gmpy2 2.0.1
  • Changes in gmpy2 2.0.0
  • Known issues in gmpy2 2.0.0
  • Changes in gmpy2 2.0.0b4
  • Known issues in gmpy2 2.0.0b4
  • Changes in gmpy2 2.0.0b3
  • Changes in gmpy2 2.0.0b2
  • Changes in gmpy2 2.0.0b1
  • Changes in gmpy 1.11
  • Changes in gmpy 1.10
  • Changes in gmpy 1.04
  • Changes in gmpy 1.03
  • Changes in gmpy 1.02
  • Changes in gmpy 1.01
  • Changes in gmpy 1.0
  • Changes in gmpy 0.9
  • Changes in gmpy 0.8
  • Changes in gmpy 0.7
  • Changes in gmpy 0.6
  • Changes in gmpy 0.5
  • Changes in gmpy 0.4
  • Changes in gmpy 0.3
  • Changes in gmpy 0.2
  • Changes in gmpy 0.1

Indices and tables

• Index

• Search Page