# CTAN update: xint

Date: January 8, 2017 10:19:17 AM CET

Jean-François Burnol submitted an update to the
xint
package.
Version number: 1.2k 2017-01-06
License type: lppl1.3
Summary description: Expandable operations on long numbers
Announcement text:

- The xintfrac.sty floating point macros since 1.2f round their arguments to the target precision P before further processing. This rounding is now exact (aka correct) in all cases, even with fractions having long numerators and denominators. This change has little influence on float expressions, as the \xintfloatexpr parser handles there the / symbol as an operator hence it does not (except for special constructs) get to see fractions as such. - Half-integer powers A^x (only available in float expressions, not via macros) proceed by an integer power and then a square-root extraction: the 1.2f implementation did the latter on an already rounded value, 1.2k keeps some of the guard digits to make the computed value Z closer to the exact one: a difference of less than 0.52 ulp(Z) is guaranteed in all cases. - Macro \xintnewdummy is made a public one, it serves to declare additional letters as dummy variables in expressions. This is for Unicode engines, mainly, as all Latin letters are already predefined to act as such. See CHANGES.pdf or CHANGES.html for the details and more.

This package is located at http://mirror.ctan.org/macros/generic/xint More information is at http://www.ctan.org/pkg/xint

Thanks for the upload. For the CTAN Team Manfred Lotz We are supported by the TeX user groups. Please join a users group; see http://www.tug.org/usergroups.html .

- The xintfrac.sty floating point macros since 1.2f round their arguments to the target precision P before further processing. This rounding is now exact (aka correct) in all cases, even with fractions having long numerators and denominators. This change has little influence on float expressions, as the \xintfloatexpr parser handles there the / symbol as an operator hence it does not (except for special constructs) get to see fractions as such. - Half-integer powers A^x (only available in float expressions, not via macros) proceed by an integer power and then a square-root extraction: the 1.2f implementation did the latter on an already rounded value, 1.2k keeps some of the guard digits to make the computed value Z closer to the exact one: a difference of less than 0.52 ulp(Z) is guaranteed in all cases. - Macro \xintnewdummy is made a public one, it serves to declare additional letters as dummy variables in expressions. This is for Unicode engines, mainly, as all Latin letters are already predefined to act as such. See CHANGES.pdf or CHANGES.html for the details and more.

This package is located at http://mirror.ctan.org/macros/generic/xint More information is at http://www.ctan.org/pkg/xint

Thanks for the upload. For the CTAN Team Manfred Lotz We are supported by the TeX user groups. Please join a users group; see http://www.tug.org/usergroups.html .

## xint – Expandable operations on long numbers

The xint bundle main modules are:

- xinttools
- utilities of independent interest such as expandable and non-expandable loops,
- xintcore
- expandable macros implementing addition, subtraction, multiplication, division, and powers for arbitrarily long integers,
- xint
- extension of xintcore,
- xintfrac
- extends the scope of xint to decimal numbers, to numbers using scientific notation and also to (exact) fractions,
- xintexpr
- provides expandable parsers of numeric expressions using the standard infix notations, parentheses, built-in functions, user definable functions and variables (and more ...) which do either exact evaluations (also with fractions) or floating point evaluations under a user chosen precision.

Further modules of the bundle are: *xintkernel* (support macros for all the bundle constituents),
*xintbinhex* (conversion to and from hexadecimal and binary bases),
*xintgcd* (provides `gcd()`

and `lcm()`

functions to xintexpr),
*xintseries* (evaluates numerically partial sums of series and power series with fractional coefficients),
and *xintcfrac* (dedicated to the computation and display of continued fractions).

All computations are compatible with expansion-only context.

The packages may be used with Plain TeX, LaTeX, or (a priori) any other macro format built upon TeX.

Package | xint |

Version | 1.3b 2018-05-18 |

Copyright | 2013–2018 Jean-François Burnol |

Maintainer | Jean-François Burnol |