API Documentation

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LU decomposition for CDenseMatrix, dense matrices of symbolic values

Also: lufact(a, val{:false}) for non-pivoting lu factorization

Convert a SymEngine numeric value into a Julian number

Return coefficient of x^n term, x a symbol

Return free symbols in an expression as a Set

Return function symbols in an expression as a Set

Return arguments of a function call as a vector of Basic objects

Get libsymengine version

Return name of function symbol

Helper function to lookup a symbol from libsymengine

Get SymEngine class of an object (e.g. 1=>:Integer, 1//2 =:Rational, sin(x) => :Sin, ...

Does expression contain the symbol

Check whether libsymengine was compiled with comp

Is expression constant

Is expression a symbol

lambdify

evaluates a symbolless expression or returns a function

Series expansion to order n about point x0

subs

Substitute values into a symbolic expression.

Examples

@vars x y
ex = x^2 + y^2
subs(ex, x, 1) # 1 + y^2
subs(ex, (x, 1)) # 1 + y^2
subs(ex, (x, 1), (y,x)) # 1 + x^2, values are substituted left to right.
subs(ex, x=>1)  # alternate to subs(x, (x,1))
subs(ex, x=>1, y=>1) # ditto

symbols(::Symbol) construct symbolic value

Examples:

a = symbols(:a)
x = symbols("x")
x,y = symbols("x y")
x,y,z = symbols("x,y,z")

@vars x y[1:5] z()

Macro to define 1 or more variables or symbolic function

Example

@vars x y z
@vars x[1:4]
@vars u(), x