Add math::dual weak comparison operators & some transcendental functions
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@ -3,6 +3,7 @@
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#include <psemek/math/vector.hpp>
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#include <iostream>
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#include <compare>
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namespace psemek::math
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{
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@ -148,6 +149,50 @@ namespace psemek::math
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return v * inverse(d);
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}
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// Exists mostly to make max/min/clamp/etc work
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template <typename T, std::size_t N>
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std::partial_ordering operator <=> (dual<T, N> const & d1, dual<T, N> const & d2)
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{
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return d1.scalar <=> d2.scalar;
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}
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template <typename T, std::size_t N>
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dual<T, N> abs(dual<T, N> const & d)
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{
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return d.scalar > T{0} ? d : -d;
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}
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template <typename T, std::size_t N>
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dual<T, N> exp(dual<T, N> const & d)
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{
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auto e = std::exp(d.scalar);
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return {e, e * d.delta};
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}
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template <typename T, std::size_t N>
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dual<T, N> log(dual<T, N> const & d)
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{
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return {std::log(d.scalar), d.delta / d.scalar};
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}
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template <typename T, std::size_t N>
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dual<T, N> sin(dual<T, N> const & d)
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{
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return {std::sin(d.scalar), std::cos(d.scalar) * d.delta};
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}
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template <typename T, std::size_t N>
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dual<T, N> cos(dual<T, N> const & d)
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{
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return {std::cos(d.scalar), - std::sin(d.scalar) * d.delta};
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}
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template <typename T, std::size_t N>
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dual<T, N> pow(dual<T, N> const & d1, dual<T, N> const & d2)
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{
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return exp(log(d1) * d2);
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}
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template <typename T, std::size_t N>
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std::ostream & operator << (std::ostream & os, dual<T, N> const & d)
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{
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