MRParabola.h

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#pragma once
 
#include "MRMeshFwd.h"
 
namespace MR
{
 
template <typename T>
struct Parabola
{
    T a = 0;
    T b = 0;
    T c = 0;
 
    constexpr Parabola() noexcept = default;
    constexpr Parabola( T a, T b, T c ) : a( a ), b( b ), c( c ) { }
    template <typename U>
    constexpr explicit Parabola( const Parabola<U> & p ) : a( T( p.a ) ), b( T( p.b ) ), c( T( p.c ) ) { }
 
    constexpr T operator() ( T x ) const { return a*x*x + b*x + c; }
 
    constexpr T extremArg() const { return -b / (2 * a); }
 
    constexpr T extremVal() const { return -b*b / (4 * a) + c; }
};
 
} //namespace MR