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 bundle provides nine packages:
- xintcore, which provides expandable TeX macros that implement the basic arithmetic operations of addition, subtraction, multiplication and division, as applied to arbitrarily long numbers represented as chains of digits with an optional minus sign;
- xint, which extends xintcore with more big integer operations;
- xinttools, which provides utilities of independent interest such as expandable and non-expandable loops;
- xintfrac, which computes fractions using xint;
- xintexpr, which extends xintfrac with an expandable parser of comma separated expressions involving integers, fractions, boolean, and algebraic operators, and declared as well as dummy variables;
- xintbinhex provides conversions to and from binary and hexadecimal bases;
- xintseries, which provides basic functionality for computing partial sums using xint;
- xintgcd, which provides implementations of the Euclidean algorithm, and of its typesetting;
- xintcfrac, which deals with the computation of continued fractions.
All of the packages’ computations are done in a way that they can operate in an expanding environment.
The packages may be used either with Plain TeX or LaTeX.
Package | xint |
Version | 1.2k 2017-01-06 |
Maintainer | Jean-François Burnol |