CTAN update: xint
- 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 arbitrary precision floating point and integer operations
Loading xintexpr provides \xinteval and \xintfloateval.
\xintfloateval evaluates numerical expressions. The floating point precision defaults to 16 decimal digits and can be set by user. Trigonometry, exponential and logarithms are implemented up to a maximal precision of 62 decimal digits.
\xinteval computes exactly with integers, fractions, and decimal numbers or numbers in scientific notation. Note though that multiplying two floating point numbers will about double the number of digits, and so on, because the algebra is done exactly.
Both are compatible with expansion-only context.
Loading xintexpr imports automatically various other modules that it depends upon. Among them:
- xinttools: utilities such as expandable and non-expandable loops,
- xint: macros implementing in particular the basic operations on arbitrarily long integers,
- xintbinhex: conversions between decimal and binary, octal, or hexadecimal bases for arbitrarily long integers,
- xintfrac: macros implementing in particular the basic operations on arbitrarily large fractions, decimal numbers, or numbers in scientific notation.
Further modules of independent interest include xintgcd, xintseries and xintcfrac.
You can use xintexpr (and the other components) with LaTeX (via \usepackage) or also with Plain TeX, OpTeX, or ConTeXt (via \input xintexpr.sty).
All the components are documented in the file xint.pdf, which also contains the commented source code.
Package | xint |
Version | 1.4o 2025-09-06 |
Copyright | 2013–2022, 2025 Jean-François Burnol |
Maintainer | Jean-François Burnol |