Changelog

print(..., method = "compactascii"): column vector as transposed row vector and handling caracas_scaled_matrix
LUdecomposition(), chol() (Cholesky), svd_() (Singular Value decomposition) added.
cumsum() added.
as.expression() (alias for as_expr()) and as.function() (alias for as_func()) cf. #75

Added knitr engine rtex (see vignette “Chunk engine for easy tex output in Rmarkdown and Quarto”)
New functions: as_expr.caracas_solve_sys_sol
inv() by default uses gauss like SymPy
kronecker(), rep() added
solve() now dispatches on caracas_symbols and works like solve_lin()
scale_matrix() can construct matrix-scalar products for prettier output
print(..., method = "compactascii") as prettyascii except more compact matrices by removing empty rows
More compact solve_sys() result printing when there is only one unknown

New functions, e.g.: as_vec(), trace_()
Initialisation of SymPy/Python is now done at package at start up. This may move the waiting time from first time using the SymPy backend to loading the package. This was done to satisfy CRAN checks.
Minor bug fixes

Reworked subs() - see documentation. subs_lst() removed.
Reworked output format (utf8, prettyascii or ascii) to one argument and one option, i.e. options(caracas.print.method = 'prettyascii') and print(x, method = "prettyascii") (default is utf8)
New function: as_func()
dim()<- assignment for caracas matrices

Imports the Matrix package instead of only suggesting
New functions: vector_sym(), matrix_sym(), matrix_sym_diag(), matrix_sym_symmetric()
New function: colspan() (Column space (range) of a symbolic matrix)
New function: get_basis() Get basis for symbolic matrix / vector.
New function: all_vars Get all symbols in caracas symbol.
matrify() now works on atomic elements.
New function: def_sym_vec() defines symbol for each element in a character vector.
New function: jacobian() function added.
New functions: zeros(), ones(), eye() added.
New function: diff_mat() added.
New functions: crossprod_(), tcrossprod_() added.

sympy_func(x, fun) first tries calling fun on x; and if it does not exist it tries from the global namespace
New function: mat_pow() for raising a matrix to a power (not component-wise), requires SymPy >= 1.6
New function: expand_func() added
Added rev() for caracas_symbol’s
Bug with Ops (functions) fixed
SymPy 1.9 bug with elementwise matrix multiplication (https://github.com/sympy/sympy/issues/22353) addressed
Enabling pretty ASCII print option (options(caracas.print.prettyascii = TRUE)) instead of UTF-8, if the system locale is not UTF-8; this be disabled with options(caracas.print.prettyascii = FALSE)

Global symbol assignment by def_sym() (#18)
Linear algebra: New do_la() function with convinience functions like eigenval(), eigenvec(), QRdecomposition(); new vignette demonstrating these
Assumptions being made available, see e.g. symbol() and ask()
Arbitrary precision arithmetic: N() function and vignette on “Arbitrary precision arithmetic”
Rename eigen_val()/eigen_vec() to eigenval()/eigenvec()
More clear naming convention: R has expressions and caracas has symbols; in this connection as_r() was renamed to as_expr() and as_symbol() to as_sym(). Also, as_sym() changed argument from declare_variables to declare_symbols.
Changed internals such that der(), der2() and solve_sys() now takes multiple variables with list() (or as a vector symbol) instead of c(); see also matrify() and listify()
Added diag_() and matrix_() (postfix _ to avoid name clashes)
sumf() renamed to sum_() and prodf() to prod_() (postfix _ to avoid name clashes)
intf() renamed to int() and limf() to lim() (because there are no name clashes with base R)
Call SymPy functions directy with sympy_func()
Added taylor() and drop_remainder()
Minor bugs fixed

An entire new interface for using SymPy, including symbols, symbolic matrices, solving equations, limits and lots of other functionality.

caracas 2.1.12023-11-30