Class PenaltyBarrierU_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_logarithmic: public Mechatronix::PenaltyBarrierU_base¶
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Logarithmic barrier.
Public Functions
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inline
PenaltyBarrierU_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 \( \epsilon \)
for \( h \) and
vars[name()+"Epsi"]for \( \epsilon \)Set the internal parameter
\[ C = \displaystyle\frac{\epsilon}{\log(h(2-h))} \]based on the values of \( h \) and \( \epsilon \)
- Parameters
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epsilon – [in] value \( \epsilon \)
tolerance – [in] value \( h \)
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inline virtual real_type
eval(real_type x) const override¶
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Compute the barrier \( p(x) = C\log(1-x^2) \)
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inline virtual real_type
eval_DD(real_type x) const override¶
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Second derivative of the barrierbarrier
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inline virtual real_type
solve(real_type RHS) const override¶
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Solve the problem \( p'(x) = r \). The solution is
\[ x = \frac{r}{\sqrt{r^2+C^2}-C} \]Notice that \( C < 0 \).
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inline
