Package: caracas 2.1.1

Mikkel Meyer Andersen

caracas: Computer Algebra

Computer algebra via the 'SymPy' library (<https://www.sympy.org/>). This makes it possible to solve equations symbolically, find symbolic integrals, symbolic sums and other important quantities.

Authors:Mikkel Meyer Andersen [aut, cre, cph], Søren Højsgaard [aut, cph]

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caracas.pdf |caracas.html✨
caracas/json (API)
NEWS

# Install 'caracas' in R:

install.packages('caracas', repos = c('https://r-cas.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/r-cas/caracas/issues

On CRAN:

8.61 score 24 stars 1 packages 52 scripts 426 downloads 108 exports 52 dependencies

Last updated 10 months agofrom:c230dee07c. Checks:OK: 5 WARNING: 2. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Oct 26 2024
R-4.5-win	OK	Oct 26 2024
R-4.5-linux	OK	Oct 26 2024
R-4.4-win	OK	Oct 26 2024
R-4.4-mac	WARNING	Oct 26 2024
R-4.3-win	OK	Oct 26 2024
R-4.3-mac	WARNING	Oct 26 2024

Exports:%*%%>%add_prefix all_vars apart as_character as_character_matrix as_diag as_expr as_func as_sym as_vec ask cancel collect colspan colSums_columnspace crossprod_def_sym def_sym_vec denominator der der2 det diag diag_diag<-diff_mat do_la doit drop_remainder eigenval eigenvec eval_to_symbol expand expand_func expand_log expand_trig eye_sym factor_fraction_parts free_symbols get_basis get_py get_sympy GramSchmidt has_sympy hessian install_sympy int inv is_sym jacobian lim listify ls_sym LUdecomposition mat_pow matrify matrix_matrix_sym matrix_sym_diag matrix_sym_symmetric N nullspace numerator ones_sym pinv prod_QRdecomposition rankMatrix_reciprocal_matrix rowspace rowSums_rref scale_matrix score simplify singular_values solve_lin solve_lower_triangular solve_sys solve_upper_triangular subs sum_svd_sym_class sym_inherits symbol symbol_class symbol_is_matrix sympy_func sympy_version taylor tcrossprod_tex texshow to_list to_matrix to_vector trace_tuplify unbracket unscale_matrix vector_sym vectorfy zeros_sym

Dependencies:backports boot broom cli colorspace cowplot cpp11 Deriv doBy dplyr fansi farver generics ggplot2 glue gtable here isoband jsonlite labeling lattice lifecycle magrittr MASS Matrix mgcv microbenchmark modelr munsell nlme pillar pkgconfig png purrr R6 rappdirs RColorBrewer Rcpp RcppTOML reticulate rlang rprojroot scales stringi stringr tibble tidyr tidyselect utf8 vctrs viridisLite withr

01 - Introduction to 'caracas'

Rendered froma01-introduction.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2022-06-29
Started: 2022-06-29

03 - Objects in 'caracas'

Rendered froma03-objects.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2022-08-31
Started: 2022-08-31

05 - Extending 'caracas'

Rendered froma05-extend-caracas.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-01-31
Started: 2022-06-30

11 - Linear algebra in caracas

Mikkel Meyer Andersen and Søren Højsgaard

Rendered froma11-linear-algebra.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-10-13
Started: 2022-06-30

21 - Concentration and covariance matrix in an autoregressive model and in a dynamic linear model

Mikkel Meyer Andersen and Søren Højsgaard

Rendered froma21-ar-ssm.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-10-10
Started: 2022-06-29

22 - Fastest route through the forest

Rendered froma22-fastest-route.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-08-11
Started: 2022-06-29

91 - Using the 'SymPy' object directly

Rendered froma91-sympy-object.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2022-06-30
Started: 2022-06-30

95 - Arbitrary precision arithmetic

Rendered froma95-arbitrary-precision-arithmetic.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2022-06-30
Started: 2022-06-29

99 - Reference

Rendered froma99-reference.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-10-13
Started: 2022-06-29

Chunk engine for easy tex output in Rmarkdown and Quarto

Rendered froma30-chunk-engine.Rmdusingknitr::rmarkdownon Oct 26 2024.

Last update: 2023-08-16
Started: 2023-08-14

Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
Extract or replace parts of an object	[.caracas_symbol
Extract or replace parts of an object	[<-.caracas_symbol
Pipe	%>%
Add prefix to each element of matrix	add_prefix
All variables	all_vars
Partial fraction decomposition on a rational function	apart
Coerce symbol to character	as_character
Get matrix as character matrix	as_character_matrix
Construct diagonal matrix from vector	as_diag
Convert caracas object to R	as.expression.caracas_solve_sys_sol as.expression.caracas_symbol as_expr
Convert expression into function object.	as.function.caracas_symbol as_func
Convert R object to caracas symbol	as_sym
Stacks matrix to vector	as_vec
Convert symbol to character	as.character.caracas_symbol
Ask for a symbol's property	ask
Put rational function into standard form	cancel
Collects common powers of a term in an expression	collect
Column space (range) of a symbolic matrix	colspan
Cumulative Sums	cumsum.caracas_symbol
Define (invisibly) caracas symbols in global environment	def_sym def_sym_vec
Symbolic differentiation of an expression	der
Symbolic differentiation of second order of an expression	der2
Matrix diagonal	diag
Symbolic diagonal matrix	diag_
Replace matrix diagonal	diag-set diag<-
Matrix diagonal	diag.caracas_symbol
Replace diagonal	diag<-.caracas_symbol
Difference matrix	diff_mat
Dimensions of a caracas symbol	dim.caracas_symbol
Dimensions of a caracas symbol	dim<-.caracas_symbol
Do linear algebra operation	do_la
Perform calculations setup previously	doit
Remove remainder term	drop_remainder
Create a symbol from a string	eval_to_symbol
Expand expression	expand
Expand a function expression	expand_func
Expand a logarithmic expression	expand_log
Expand a trigonometric expression	expand_trig
Expand expression	factor_
Get numerator and denominator of a fraction	denominator fraction_parts numerator
Get free symbol in expression	free_symbols
Generate generic vectors and matrices	generic-matrices matrix_sym matrix_sym_diag matrix_sym_symmetric vector_sym
Get basis	get_basis
Access 'py' object	get_py
Access 'SymPy' directly	get_sympy
Check if 'SymPy' is available	has_sympy
Install 'SymPy'	install_sympy
Integrate a function	int
Is object a caracas symbol	is_sym
Compute Jacobian	jacobian
Kronecker product of two matrices	kronecker,caracas_symbol,caracas_symbol-method
Limit of a function	lim
Do linear algebra operation	chol.caracas_symbol columnspace det eigenval eigenvec GramSchmidt inv linalg LUdecomposition nullspace pinv QRdecomposition rowspace rref singular_values svd_ trace_
Convert object to list of elements	listify
List defined symbols	ls_sym
Matrix power	mat_pow
Math functions	Math.caracas_symbol
Creates matrix from array symbol	matrify
Symbolic matrix	matrix_
Matrix cross product	crossprod_ matrix_cross_product tcrossprod_
Matrix multiplication	%% %%.caracas_symbol matrix-products
Numerical evaluation	N
Math operators	Ops.caracas_symbol
Print scaled matrix	print.caracas_scaled_matrix
Print solution	print.caracas_solve_sys_sol
Print symbol	print.caracas_symbol
Product of a function	prod_
Rank of matrix	rankMatrix_
Elementwise reciprocal matrix	reciprocal_matrix
Form Row and Column Sums	colSums_ rowSums_ rowSums_colSums
Create list of factors as in a product	scale_matrix
Score and Hessian matrix	hessian score score_hessian
Simplify expression	simplify
Solve a linear system of equations	solve_lin
Solves a system of non-linear equations	solve_sys
Solve lower or upper triangular system	solve_lower_triangular solve_triangular solve_upper_triangular
Solve a System of Linear Equations	solve.caracas_symbol
Special matrices: zeros_sym, ones_sym, eye_sym	eye_sym ones_sym special_matrices zeros_sym
Substitute symbol for value	subs
Sum of a function	sum_
Summation	sum.caracas_symbol
Ask type of caracas symbol	sym_class
Ask if type of caracas symbol is of a requested type	sym_inherits
Create a symbol	symbol
Ask type of caracas symbol	symbol_class
Check if object is a caracas matrix	symbol_is_matrix
Call a SymPy function directly on x	sympy_func
Get 'SymPy' version	sympy_version
Transpose of matrix	t.caracas_symbol
Taylor expansion	taylor
Export object to TeX	tex
Export scaled matrix to tex	tex.caracas_scaled_matrix
Dump latex representation of sympy object.	texshow
Coerce caracas object	to_list to_matrix to_something to_vector
Convert object to tuple	tuplify
Remove inner-most dimension	unbracket
Extract unique elements	unique.caracas_symbol
Extract matrix from scaled matrix	unscale_matrix
Creates symbol vector from list of caracas symbols	vectorfy