class CAS::Invert
Invert
is the same as multiply by `-1` a function. `Invert(x)` is equal to `-x`
Public Class Methods
init_simplify_dict()
click to toggle source
# File lib/functions/fnc-base.rb, line 408 def self.init_simplify_dict @simplify_dict = { CAS::Zero => CAS::Zero } end
Public Instance Methods
call(f)
click to toggle source
Call resolves the operation tree in a `Numeric` (if `Fixnum`) or `Float` (depends upon promotions). As input, it requires an hash with `CAS::Variable` or `CAS::Variable#name` as keys, and a `Numeric` as a value. In this case it will call the `Fixnum#overloaded_plus`, that is the old plus function.
* **argument**: `Hash` with feed dictionary * **returns**: `Numeric`
# File lib/functions/fnc-base.rb, line 381 def call(f) CAS::Help.assert(f, Hash) -1.0 * @x.call(f) end
diff(v)
click to toggle source
Performs the inversion of a `CAS::Op`
“`
d
—- (-f(x)) = -f'(x)
dx
“`
* **argument**: `CAS::Op` argument of derivative * **returns**: `CAS::Op` derivative
# File lib/functions/fnc-base.rb, line 365 def diff(v) if @x.depend? v -@x.diff(v) else CAS::Zero end end
simplify()
click to toggle source
Same as `CAS::Op`
Simplifcation engine supports:
* -(-x) = x * -0 = 0 * **returns**: `CAS::Op` simplified version
Calls superclass method
CAS::Op#simplify
# File lib/functions/fnc-base.rb, line 402 def simplify super return @x.x if @x.is_a? CAS::Invert return self.simplify_dictionary end
to_code()
click to toggle source
Convert expression to code (internal, for `CAS::Op#to_proc` method)
* **returns**: `String` that represent Ruby code to be parsed in `CAS::Op#to_proc`
# File lib/functions/fnc-base.rb, line 417 def to_code "(-#{@x.to_code})" end
to_s()
click to toggle source
Convert expression to string
* **returns**: `String` to print on screen
# File lib/functions/fnc-base.rb, line 390 def to_s "-#{@x}" end