class CAS::Acos
Representation for the `arccos(x)` function. It is implemented as a `CAS::Op`. It is the inverse of the `cos(x)` function
Public Class Methods
init_simplify_dict()
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# File lib/functions/fnc-trig.rb, line 298 def self.init_simplify_dict @simplify_dict = { CAS::Zero => (CAS::Pi / 2), CAS::One => CAS::Zero } end
Public Instance Methods
call(f)
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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
* **argument**: `Hash` with feed dictionary * **returns**: `Numeric`
# File lib/functions/fnc-trig.rb, line 275 def call(f) CAS::Help.assert(f, Hash) return Math::acos(@x.call(f)) end
diff(v)
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# File lib/functions/fnc-trig.rb, line 260 def diff(v) if @x.depend? v return CAS.invert(@x.diff(v)/CAS.sqrt(CAS::One - CAS.pow(@x, CAS::Two))) else return CAS::Zero end end
simplify()
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Simplification callback. It simplify the subgraph of each node until all possible simplification are performed (thus the execution time is not deterministic).
* **returns**: `CAS::Op` simplified version
Calls superclass method
CAS::Op#simplify
# File lib/functions/fnc-trig.rb, line 292 def simplify super return @x.x if @x.is_a? CAS::Cos return self.simplify_dictionary end
to_code()
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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-trig.rb, line 308 def to_code "Math::acos(#{@x.to_code})" end
to_s()
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Convert expression to string
* **returns**: `String` to print on screen
# File lib/functions/fnc-trig.rb, line 283 def to_s "acos(#{@x})" end