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calculus

1.1.0

High Dimensional Numerical and Symbolic Calculus

9packages depend
76.5Kdownloads / year
75.2%test coverage
12/13checks pass

Overview

About
Maintained by Emanuele GuidottiFirst published 2019-11-0712 releasesCRAN page ↗GitHub ↗

Efficient C++ optimized functions for numerical and symbolic calculus as described in Guidotti (2022) doi:10.18637/jss.v104.i05. It includes basic arithmetic, tensor calculus, Einstein summing convention, fast computation of the Levi-Civita symbol and generalized Kronecker delta, Taylor series expansion, multivariate Hermite polynomials, high-order derivatives, ordinary differential equations, differential operators (Gradient, Jacobian, Hessian, Divergence, Curl, Laplacian) and numerical integration in arbitrary orthogonal coordinate systems: cartesian, polar, spherical, cylindrical, parabolic or user defined by custom scale factors.

Install

Health

CRAN checks
1ERROR12OK
Failing flavors
  • ERROR r-devel-linux-x86_64-debian-gcc
Slowest check: 4.9 min · r-devel-windows-x86_64
Code health
Yes
Tests · ratio 0.52
75.2%
Coverage · measured lines
64%
Documentation · exports
1
Dependencies · direct
Check history
  • ERROR2026-08-22
    12 OK · 0 NOTE · 0 WARNING · 1 ERROR · 0 FAILURE
  • OK2026-08-05
    13 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE
  • NOTE2026-08-01
    12 OK · 1 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE
  • OK2026-06-09
    13 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE
  • ERROR2026-06-08
    12 OK · 0 NOTE · 0 WARNING · 1 ERROR · 0 FAILURE
Show 3 earlier snapshots
  • OK2026-04-22
    14 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE
  • ERROR2026-04-18
    13 OK · 0 NOTE · 0 WARNING · 1 ERROR · 0 FAILURE
  • OK2026-03-10
    14 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE

Documentation

Documentation
READMEYes · 325 wordsVignettesYes · dynamicpkgdown siteNoNEWSYes · 100% structuredCode of conductNoContributing guideNo
Examples that run
100%
Documented parameters
100%
Return-value docs
100%
References docs
97%

Downloads

76.5K
CRAN downloads in the past year
Rank #1,715 · ~210/day · ~6.4K/mo
Daily download trend is not available in this view yet.
4.1K30 days
13.5K90 days
76.5K1 year
Compare downloads with other packages →
Also on590 r2u25 autocran2.3K conda_forge39 c2d4u

Repository

Repository
48Stars
6Forks
0Open issues
0Open PRs
8Releases
92Commits
3Contributors
rr-packagecalculusgradientjacobianhessiandivergencecurl
License GPL-3.0 · 92 commits · Last activity 2025-07-07 · 0% stars, 30d

Stars over time

2025-06-07 · 472026-07-07 · 48

Repository practices

Upstream repositoryBeta

1 development-tooling and community-health practice detected across 1 family in the upstream repository

Checks run against github.com/eguidotti/calculus on 2026-08-23.

Continuous integration (1)
GitHub Actions
How this is detected·Detection ruleset v1 (2026-07-18)

Dependencies

Declared dependencies
6 external dependencies (excludes base and recommended)
Depends (0)
none
Imports (1)
LinkingTo (1)
Enhances (0)
none

Code & Tests

People & History

People (1)
Maintainer (1)
Author, Maintainer
Authors (1)
Author, Maintainer
Package Timeline

12 releases. Pick two to compare their code metrics. R releases are shown for context.

  • R
    R 4.6.0 released · 2026-04-24
  • 1.1.0Latest
    2025-06-18 · current release · diff ↗
  • R
    R 4.5.0 released · 2025-04-11
  • R
    R 4.4.0 released · 2024-04-24
  • R
    R 4.3.0 released · 2023-04-21
  • 1.0.1
    2023-03-10 · diff ↗
  • 1.0.0
    2022-09-26 · diff ↗
  • 0.3.4
    2022-08-21 · diff ↗
  • R
    R 4.2.0 released · 2022-04-22
  • 0.3.3
    2022-01-22 · diff ↗
  • 0.3.2
    2021-12-18 · diff ↗
  • 0.3.1
    2021-05-26 · diff ↗
  • R
    R 4.1.0 released · 2021-05-18
  • 0.3.0
    2021-01-07 · diff ↗
  • R
    R 4.0.0 released · 2020-04-24
  • 0.2.1
    2020-03-23 · diff ↗
Show 4 earlier events
  • 0.2.0
    2020-01-08 · diff ↗
  • 0.1.1
    2019-11-11 · diff ↗
  • 0.1.0
    2019-11-07
  • R
    R 3.6.0 released · 2019-04-26

Package metadata

First published
2019-11-07
Total releases
12 / 7 yrs
License
GPL-3 OSI
Download size
161 KB
Installed size
not tracked yet
With dependencies
not tracked yet
Appears in task views

Cite

Cite this package

Run in R for the authors' preferred citation:

citation("calculus")
Guidotti, E. (2025). calculus: High Dimensional Numerical and Symbolic Calculus (Version 1.1.0) [Computer software]. https://doi.org/10.32614/CRAN.package.calculus

This is what citation() produces when a package has no citation file of its own. If it prints something else, use that.

Cite the R Observatory

For a number measured here: a download total, a coverage figure, an archival date.

APA

Balamuta, J. J. (2026). R Observatory: Metrics for calculus version 1.1.0 [Data set]. HJJB, LLC. Data release v2026-08-23. https://doi.org/10.5281/zenodo.21843040

From data release v2026-08-23, which the citation names so these numbers can be found later. More on citing and the projects behind them.

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