Class PenaltyBarrierU_cos_logarithmic¶
Defined in File PenaltyBarrierU.cc
Inheritance Relationships¶
Base Type¶
public Mechatronix::PenaltyBarrierU_base(Class PenaltyBarrierU_base)
Class Documentation¶
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class
Mechatronix::PenaltyBarrierU_cos_logarithmic: public Mechatronix::PenaltyBarrierU_base¶
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Cosine Logarithmic barrier.
Public Functions
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inline
PenaltyBarrierU_cos_logarithmic(string const &name)¶
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Construct the barrier.
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inline virtual void
setup(real_type epsilon, real_type tolerance) override¶
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Initialize the barrier internal parameters based on the values of \( h \) and \( \epsilon \)
Set the internal parameter
\[ C = \displaystyle\frac{\epsilon}{\log\cos\left(\frac{\pi}{2}(1-h)\right)} \]based on the values of \( h \) and \( \epsilon \)
- Parameters
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epsilon – value \( \epsilon \)
tolerance – value \( h \)
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inline virtual real_type
eval(real_type x) const override¶
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Compute the barrier \( p(x) = C\log\left(\cos\left(\frac{\pi}{2}x\right)\right) \)
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inline virtual real_type
solve(real_type RHS) const override¶
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Solve the problem \( p'(x) = r \)
\[ x = -\frac{2}{\pi}\arctan\left(\frac{2r}{C\pi}\right) \]
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inline
