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GMP integration for SBCL (development; stable version is included in SBCL)

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SB-GMP

NOTE: SB-GMP is now part of the contribs of SBCL (http://www.sbcl.org), so you should use the version that comes bundled with SBCL as it contains all the newest fixes that may not yet be reflected here!

GMP integration for SBCL

This contrib enables the use of bignum computation routines from the GMP library for SBCL internal bignum calculations.

Some functions can be transparently replaced within SBCL, namely:

  • sb-bignum:multiply-bignum
  • sb-bignum:bignum-truncate
  • sb-bignum:bignum-gcd
  • sb-kernel::two-arg-lcm
  • cl:isqrt
  • sb-kernel::intexp

and for making use of the GMP rational arithmetic:

  • sb-kernel::two-arg-+
  • sb-kernel::two-arg--
  • sb-kernel::two-arg-*
  • sb-kernel::two-arg-/

Most of the other SBCL bignum routines rely on these functions for the heavy computational lifting.

However, SB-GMP also provides easy and transparent access to several other functions of the GMP library and may be able to replace other parts of the SBCL bignum machinery in the future. Refer to the GMP documentation for the respective function specification [1]. The higher-level Lisp interface are the ones exported from the package SB-GMP.

The transparent SBCL integration is activated by calling

(SB-GMP:INSTALL-GMP-FUNS)

in a similar way it can be deactivated via

(SB-GMP:UNINSTALL-GMP-FUNS)

An additional contrib using SB-GMP is SB-MPFR [2] which provides support for arbitrary precision floating-point numbers. Refer to the file README.md of SB-MPFR for details.

[1] http://gmplib.org/manual/ [2] https://github.com/sfrank/sb-mpfr

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