class CAS::Asin
Representation for the `arcsin(x)` function. It is implemented as a `CAS::Op`. It is the inverse of the `sin(x)` function
Public Class Methods
init_simplify_dict()
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# File lib/functions/fnc-trig.rb, line 163 def self.init_simplify_dict @simplify_dict = { CAS::Zero => CAS::Zero, CAS::One => (CAS::Pi / 2) } 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 140 def call(f) CAS::Help.assert(f, Hash) Math::acos(@x.call(f)) end
diff(v)
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Return the derivative of the `arcsin(x)` function using the chain rule. The input is a `CAS::Op`
* **argument**: `CAS::Op` object of the derivative * **returns**: `CAS::Op` a derivated object, or `CAS::Zero` for constants
# File lib/functions/fnc-trig.rb, line 125 def diff(v) if @x.depend? v return @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 157 def simplify super return @x.x if @x.is_a? CAS::Sin 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 173 def to_code "Math::asin(#{@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 148 def to_s "asin(#{@x})" end