Fixed and Arbitrary Precision Numerical Fields
==============================================
Floating-Point Arithmetic
-------------------------
Sage supports arbitrary precision real (RealField) and complex fields
(ComplexField). Sage also provides two optimized fixed precision fields for
numerical computation, the real double (RealDoubleField) and complex double
fields (ComplexDoubleField).
Real and complex double elements are optimized implementations that use the
GNU Scientific Library for arithmetic and some special functions. Arbitrary
precision real and complex numbers are implemented using the MPFR library,
which builds on GMP. In many cases the PARI C-library is used to compute
special functions when implementations aren't otherwise available.
.. toctree::
:maxdepth: 2
sage/rings/real_mpfr
sage/rings/complex_field
sage/rings/complex_number
sage/rings/complex_mpc
sage/rings/real_double
sage/rings/complex_double
Interval Arithmetic
-------------------
Sage implements real and complex interval arithmetic using MPFI
(RealIntervalField, ComplexIntervalField) and arb (RealBallField,
ComplexBallField).
.. toctree::
:maxdepth: 2
sage/rings/real_mpfi
sage/rings/real_interval_absolute
sage/rings/complex_interval_field
sage/rings/complex_interval
sage/rings/real_arb
sage/rings/complex_arb
Exact Real Arithmetic
---------------------
.. toctree::
:maxdepth: 2
sage/rings/real_lazy
.. include:: ../footer.txt