Class: CAS::Invert
Overview
Invert is the same as multiply by ‘-1` a function. `Invert(x)` is equal to `-x`
Instance Attribute Summary
Attributes inherited from Op
Class Method Summary collapse
Instance Method Summary collapse
-
#call(f) ⇒ Object
Call resolves the operation tree in a ‘Numeric` (if `Fixnum`) or `Float` (depends upon promotions).
-
#diff(v) ⇒ Object
Performs the inversion of a ‘CAS::Op`.
-
#simplify ⇒ Object
Same as ‘CAS::Op`.
-
#to_code ⇒ Object
Convert expression to code (internal, for ‘CAS::Op#to_proc` method).
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#to_s ⇒ Object
Convert expression to string.
Methods inherited from Op
#!=, #*, #**, #+, #-, #-@, #/, #==, #args, #as_proc, #depend?, #dot_graph, #equal, #greater, #greater_equal, #initialize, #inspect, #limit, numeric_to_const, simplify_dict, #simplify_dictionary, #smaller, #smaller_equal, #subs, #to_c_lib
Constructor Details
This class inherits a constructor from CAS::Op
Class Method Details
Instance Method Details
#call(f) ⇒ Object
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`
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# File 'lib/functions/fnc-base.rb', line 404 def call(f) CAS::Help.assert(f, Hash) -1.0 * @x.call(f) end |
#diff(v) ⇒ Object
Performs the inversion of a ‘CAS::Op`
“‘
d
—- (-f(x)) = -f’(x)
dx
“‘
* **argument**: `CAS::Op` argument of derivative
* **returns**: `CAS::Op` derivative
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# File 'lib/functions/fnc-base.rb', line 388 def diff(v) if @x.depend? v -@x.diff(v) else CAS::Zero end end |
#simplify ⇒ Object
Same as ‘CAS::Op`
Simplifcation engine supports:
* -(-x) = x
* -0 = 0
* **returns**: `CAS::Op` simplified version
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# File 'lib/functions/fnc-base.rb', line 425 def simplify super return @x.x if @x.is_a? CAS::Invert return self.simplify_dictionary end |
#to_code ⇒ Object
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`
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# File 'lib/functions/fnc-base.rb', line 440 def to_code "(-#{@x.to_code})" end |
#to_s ⇒ Object
Convert expression to string
* **returns**: `String` to print on screen
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# File 'lib/functions/fnc-base.rb', line 413 def to_s "-#{@x}" end |