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inline bool isConstant() const {
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if (empty()) return true;
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for (unsigned i = 0; i < size(); i++) {
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if(!(*this)[i].isConstant()) return false;
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if(!(*this)[0].isConstant()) return false;
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for (unsigned i = 1; i < size(); i++) {
133
if(!(*this)[i].isZero()) return false;
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SBasis compose_inverse(SBasis const &f, SBasis const &g, unsigned order=2, double tol=1e-3);
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/** Returns the sbasis on domain [0,1] that was t on [from, to]
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\param a sbasis function
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\param t sbasis function
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\param from,to interval
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inline SBasis portion(const SBasis &t, double from, double to) { return compose(t, Linear(from, to)); }
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inline SBasis portion(const SBasis &t, Interval ivl) { return compose(t, Linear(ivl[0], ivl[1])); }
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inline SBasis portion(const SBasis &t, Interval ivl) { return compose(t, Linear(ivl.min(), ivl.max())); }
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SBasis cos(Linear bo, int k);
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std::vector<double> roots(SBasis const & s);
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std::vector<double> roots(SBasis const & s, Interval const inside);
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std::vector<std::vector<double> > multi_roots(SBasis const &f,
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std::vector<double> const &levels,
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double htol=1e-7,
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double vtol=1e-7,
381
//--------- Levelset like functions -----------------------------------------------------
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/** Solve f(t) = v +/- tolerance. The collection of intervals where
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* v - vtol <= f(t) <= v+vtol
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* is returned (with a precision tol on the boundaries).
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\param f sbasis function
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\param level the value of v.
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\param vtol: error tolerance on v.
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\param a, b limit search on domain [a,b]
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\param tol: tolerance on the result bounds.
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\returns a vector of intervals.
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std::vector<Interval> level_set (SBasis const &f,
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/** Solve f(t)\in I=[u,v], which defines a collection of intervals (J_k). More precisely,
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* a collection (J'_k) is returned with J'_k = J_k up to a given tolerance.
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\param f sbasis function
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\param level: the given interval of deisred values for f.
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\param a, b limit search on domain [a,b]
405
\param tol: tolerance on the bounds of the result.
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\returns a vector of intervals.
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std::vector<Interval> level_set (SBasis const &f,
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Interval const &level,
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/** 'Solve' f(t) = v +/- tolerance for several values of v at once.
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\param f sbasis function
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\param levels vector of values, that should be sorted.
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\param vtol: error tolerance on v.
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\param a, b limit search on domain [a,b]
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\param tol: the bounds of the returned intervals are exact up to that tolerance.
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\returns a vector of vectors of intervals.
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std::vector<std::vector<Interval> > level_sets (SBasis const &f,
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std::vector<double> const &levels,
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/** 'Solve' f(t)\in I=[u,v] for several intervals I at once.
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\param f sbasis function
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\param levels vector of 'y' intervals, that should be disjoints and sorted.
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\param a, b limit search on domain [a,b]
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\param tol: the bounds of the returned intervals are exact up to that tolerance.
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\returns a vector of vectors of intervals.
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std::vector<std::vector<Interval> > level_sets (SBasis const &f,
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std::vector<Interval> const &levels,
added
removed
src/2geom/sbasis.h
