Better handling of nonlinear constraints in nlopt wrapper
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cdac790163
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@ -74,18 +74,28 @@ Fn for_each_argument(Fn &&fn, Args&&...args)
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return fn;
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}
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template<class Fn, class...Args>
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Fn for_each_in_tuple(Fn fn, const std::tuple<Args...> &tup)
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// Call fn on each element of the input tuple tup.
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template<class Fn, class Tup>
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Fn for_each_in_tuple(Fn fn, Tup &&tup)
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{
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auto arg = std::tuple_cat(std::make_tuple(fn), tup);
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auto mpfn = [](auto fn, auto...pack) {
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return for_each_argument(fn, pack...);
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auto mpfn = [&fn](auto&...pack) {
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for_each_argument(fn, pack...);
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};
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std::apply(mpfn, arg);
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std::apply(mpfn, tup);
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return fn;
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}
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// Wrap each element of the tuple tup into a wrapper class W and return
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// a new tuple with each element being of type W<T_i> where T_i is the type of
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// i-th element of tup.
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template<template<class> class W, class...Args>
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auto wrap_tup(const std::tuple<Args...> &tup)
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{
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return std::tuple<W<Args>...>(tup);
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}
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// Optimizers based on NLopt.
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template<nlopt_algorithm alg> class NLoptOpt<NLoptAlg<alg>> {
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protected:
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@ -94,32 +104,38 @@ protected:
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static constexpr double ConstraintEps = 1e-6;
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template<class Fn> using TOptData =
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std::tuple<std::remove_reference_t<Fn>*, NLoptOpt*, nlopt_opt>;
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template<class Fn> struct OptData {
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Fn fn;
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NLoptOpt *self = nullptr;
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nlopt_opt opt_raw = nullptr;
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OptData(const Fn &f): fn{f} {}
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OptData(const Fn &f, NLoptOpt *s, nlopt_opt nlopt_raw)
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: fn{f}, self{s}, opt_raw{nlopt_raw} {}
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};
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template<class Fn, size_t N>
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static double optfunc(unsigned n, const double *params,
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double *gradient,
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void *data)
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double *gradient, void *data)
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{
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assert(n == N);
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auto tdata = static_cast<TOptData<Fn>*>(data);
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auto tdata = static_cast<OptData<Fn>*>(data);
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if (std::get<1>(*tdata)->m_stopcr.stop_condition())
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nlopt_force_stop(std::get<2>(*tdata));
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if (tdata->self->m_stopcr.stop_condition())
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nlopt_force_stop(tdata->opt_raw);
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auto fnptr = std::get<0>(*tdata);
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auto funval = to_arr<N>(params);
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double scoreval = 0.;
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using RetT = decltype((*fnptr)(funval));
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using RetT = decltype(tdata->fn(funval));
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if constexpr (std::is_convertible_v<RetT, ScoreGradient<N>>) {
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ScoreGradient<N> score = (*fnptr)(funval);
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ScoreGradient<N> score = tdata->fn(funval);
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for (size_t i = 0; i < n; ++i) gradient[i] = (*score.gradient)[i];
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scoreval = score.score;
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} else {
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scoreval = (*fnptr)(funval);
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scoreval = tdata->fn(funval);
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}
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return scoreval;
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@ -127,17 +143,14 @@ protected:
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template<class Fn, size_t N>
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static double constrain_func(unsigned n, const double *params,
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double *gradient,
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void *data)
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double *gradient, void *data)
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{
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assert(n == N);
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auto tdata = static_cast<TOptData<Fn>*>(data);
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auto &fnptr = std::get<0>(*tdata);
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auto tdata = static_cast<OptData<Fn>*>(data);
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auto funval = to_arr<N>(params);
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return (*fnptr)(funval);
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return tdata->fn(funval);
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}
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template<size_t N>
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@ -173,22 +186,27 @@ protected:
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{
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Result<N> r;
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TOptData<Fn> data = std::make_tuple(&fn, this, nl.ptr);
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OptData<Fn> data {fn, this, nl.ptr};
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auto do_for_each_eq = [this, &nl](auto &&arg) {
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auto data = std::make_tuple(&arg, this, nl.ptr);
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using F = std::remove_cv_t<decltype(arg)>;
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nlopt_add_equality_constraint (nl.ptr, constrain_func<F, N>, &data, ConstraintEps);
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auto do_for_each_eq = [this, &nl](auto &arg) {
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arg.self = this;
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arg.opt_raw = nl.ptr;
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using F = decltype(arg.fn);
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nlopt_add_equality_constraint (nl.ptr, constrain_func<F, N>, &arg, ConstraintEps);
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};
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auto do_for_each_ineq = [this, &nl](auto &&arg) {
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auto data = std::make_tuple(&arg, this, nl.ptr);
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using F = std::remove_cv_t<decltype(arg)>;
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nlopt_add_inequality_constraint (nl.ptr, constrain_func<F, N>, &data, ConstraintEps);
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auto do_for_each_ineq = [this, &nl](auto &arg) {
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arg.self = this;
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arg.opt_raw = nl.ptr;
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using F = decltype(arg.fn);
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nlopt_add_inequality_constraint (nl.ptr, constrain_func<F, N>, &arg, ConstraintEps);
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};
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for_each_in_tuple(do_for_each_eq, equalities);
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for_each_in_tuple(do_for_each_ineq, inequalities);
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auto eq_data = wrap_tup<OptData>(equalities);
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for_each_in_tuple(do_for_each_eq, eq_data);
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auto ineq_data = wrap_tup<OptData>(inequalities);
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for_each_in_tuple(do_for_each_ineq, ineq_data);
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switch(m_dir) {
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case OptDir::MIN:
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@ -260,8 +278,19 @@ public:
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const StopCriteria &get_loc_criteria() const noexcept { return m_loc_stopcr; }
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};
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template<class Alg> struct AlgFeatures_ {
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static constexpr bool SupportsInequalities = false;
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static constexpr bool SupportsEqualities = false;
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};
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} // namespace detail;
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template<class Alg> constexpr bool SupportsEqualities =
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detail::AlgFeatures_<remove_cvref_t<Alg>>::SupportsEqualities;
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template<class Alg> constexpr bool SupportsInequalities =
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detail::AlgFeatures_<remove_cvref_t<Alg>>::SupportsInequalities;
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// Optimizers based on NLopt.
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template<class M> class Optimizer<M, detail::NLoptOnly<M>> {
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detail::NLoptOpt<M> m_opt;
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@ -278,6 +307,14 @@ public:
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const std::tuple<EqFns...> &eq_constraints = {},
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const std::tuple<IneqFns...> &ineq_constraint = {})
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{
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static_assert(std::tuple_size_v<std::tuple<EqFns...>> == 0
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|| SupportsEqualities<M>,
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"Equality constraints are not supported.");
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static_assert(std::tuple_size_v<std::tuple<IneqFns...>> == 0
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|| SupportsInequalities<M>,
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"Inequality constraints are not supported.");
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return m_opt.optimize(std::forward<Func>(func), initvals, bounds,
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eq_constraints,
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ineq_constraint);
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@ -299,13 +336,41 @@ public:
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};
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// Predefinded NLopt algorithms
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using AlgNLoptGenetic = detail::NLoptAlgComb<NLOPT_GN_ESCH>;
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using AlgNLoptSubplex = detail::NLoptAlg<NLOPT_LN_SBPLX>;
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using AlgNLoptSimplex = detail::NLoptAlg<NLOPT_LN_NELDERMEAD>;
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using AlgNLoptCobyla = detail::NLoptAlg<NLOPT_LN_COBYLA>;
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using AlgNLoptDIRECT = detail::NLoptAlg<NLOPT_GN_DIRECT>;
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using AlgNLoptISRES = detail::NLoptAlg<NLOPT_GN_ISRES>;
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using AlgNLoptMLSL = detail::NLoptAlgComb<NLOPT_GN_MLSL, NLOPT_LN_SBPLX>;
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using AlgNLoptGenetic = detail::NLoptAlgComb<NLOPT_GN_ESCH>;
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using AlgNLoptSubplex = detail::NLoptAlg<NLOPT_LN_SBPLX>;
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using AlgNLoptSimplex = detail::NLoptAlg<NLOPT_LN_NELDERMEAD>;
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using AlgNLoptCobyla = detail::NLoptAlg<NLOPT_LN_COBYLA>;
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using AlgNLoptDIRECT = detail::NLoptAlg<NLOPT_GN_DIRECT>;
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using AlgNLoptORIG_DIRECT = detail::NLoptAlg<NLOPT_GN_ORIG_DIRECT>;
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using AlgNLoptISRES = detail::NLoptAlg<NLOPT_GN_ISRES>;
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using AlgNLoptAGS = detail::NLoptAlg<NLOPT_GN_AGS>;
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using AlgNLoptMLSL = detail::NLoptAlgComb<NLOPT_GN_MLSL, NLOPT_LN_SBPLX>;
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using AlgNLoptMLSL_Cobyla = detail::NLoptAlgComb<NLOPT_GN_MLSL, NLOPT_LN_COBYLA>;
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namespace detail {
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template<> struct AlgFeatures_<AlgNLoptCobyla> {
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static constexpr bool SupportsInequalities = true;
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static constexpr bool SupportsEqualities = true;
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};
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template<> struct AlgFeatures_<AlgNLoptISRES> {
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static constexpr bool SupportsInequalities = true;
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static constexpr bool SupportsEqualities = false;
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};
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template<> struct AlgFeatures_<AlgNLoptORIG_DIRECT> {
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static constexpr bool SupportsInequalities = true;
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static constexpr bool SupportsEqualities = false;
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};
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template<> struct AlgFeatures_<AlgNLoptAGS> {
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static constexpr bool SupportsInequalities = true;
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static constexpr bool SupportsEqualities = true;
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};
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} // namespace detail
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}} // namespace Slic3r::opt
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