Module: DualMath

Included in:
Math
Defined in:
lib/differentiation/ext/math.rb

Instance Method Summary collapse

Instance Method Details

#cos(x) ⇒ Object 



12
13
14
15
16
17
18
 
# File 'lib/differentiation/ext/math.rb', line 12

def cos(x)
  if x.is_a?(Differentiation::DualNumber)
    Differentiation::DualNumber.new(super(x.n), ->(var){ -1.0 * sin(x.n) * x.derivative(var) }, named_variables: x.named_variables)
  else
    super(x)
  end
end

#exp(x) ⇒ Object 



28
29
30
31
32
33
34
 
# File 'lib/differentiation/ext/math.rb', line 28

def exp(x)
  if x.is_a?(Differentiation::DualNumber)
    Differentiation::DualNumber.new(super(x.n), ->(var){ exp(x.n) * x.derivative(var) }, named_variables: x.named_variables)
  else
    super(x)
  end
end

#sin(x) ⇒ Object 



4
5
6
7
8
9
10
 
# File 'lib/differentiation/ext/math.rb', line 4

def sin(x)
  if x.is_a?(Differentiation::DualNumber)
    Differentiation::DualNumber.new(super(x.n), ->(var){ cos(x.n) * x.derivative(var) }, named_variables: x.named_variables)
  else
    super(x)
  end
end

#tan(x) ⇒ Object 



20
21
22
23
24
25
26
 
# File 'lib/differentiation/ext/math.rb', line 20

def tan(x)
  if x.is_a?(Differentiation::DualNumber)
    Differentiation::DualNumber.new(super(x.n), ->(var){ ((1.0 / cos(x.n)) ** 2) * x.derivative(var) }, named_variables: x.named_variables)
  else
    super(x)
  end
end