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[math] Support TComplex arithmetic operations with any possible type #13746

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Oct 2, 2023
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[math] Support TComplex arithmetic operations with any possible type #13746

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47 changes: 28 additions & 19 deletions math/mathcore/inc/TComplex.h
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Original file line number Diff line number Diff line change
Expand Up @@ -21,7 +21,9 @@
#include "TMath.h"

#include "Rtypes.h"

#include <string>
#include <type_traits>


class TComplex {
Expand Down Expand Up @@ -74,25 +76,32 @@ class TComplex {
TComplex operator +()
{return *this;}

// Simple operators complex - double
TComplex operator *(Double_t c) const
{return TComplex(fRe*c,fIm*c);}
TComplex operator +(Double_t c) const
{return TComplex(fRe+c, fIm);}
TComplex operator /(Double_t c) const
{return TComplex(fRe/c,fIm/c);}
TComplex operator -(Double_t c) const
{return TComplex(fRe-c, fIm);}

// Simple operators double - complex
friend TComplex operator *(Double_t d, const TComplex & c)
{return TComplex(d*c.fRe,d*c.fIm);}
friend TComplex operator +(Double_t d, const TComplex & c)
{return TComplex(d+c.fRe, c.fIm);}
friend TComplex operator /(Double_t d, const TComplex & c)
{return TComplex(d*c.fRe,-d*c.fIm)/c.Rho2();}
friend TComplex operator -(Double_t d, const TComplex & c)
{return TComplex(d-c.fRe, -c.fIm);}
// Metafunction to figure out whether a type is arithmetic. This is used for
// the arithmetic operator implementation, so we can be sure that nothing
// unexpected will happen for non-arithmetic types that implement these
// operators with `double` themselves.
template<class T>
using enable_if_arithmetic = typename std::enable_if<std::is_arithmetic<T>::value, bool>::type;

// Simple operators complex - arithmetic
template <class T, enable_if_arithmetic<T> = true>
TComplex operator *(T c) const { return {fRe*c,fIm*c}; }
template <class T, enable_if_arithmetic<T> = true>
TComplex operator +(T c) const { return {fRe+c, fIm}; }
template <class T, enable_if_arithmetic<T> = true>
TComplex operator /(T c) const { return {fRe/c,fIm/c}; }
template <class T, enable_if_arithmetic<T> = true>
TComplex operator -(T c) const { return {fRe-c, fIm}; }

// Simple operators arithmetic - complex
template <class T, enable_if_arithmetic<T> = true>
friend TComplex operator *(T d, const TComplex & c) { return {d*c.fRe,d*c.fIm}; }
template <class T, enable_if_arithmetic<T> = true>
friend TComplex operator +(T d, const TComplex & c) { return {d+c.fRe, c.fIm}; }
template <class T, enable_if_arithmetic<T> = true>
friend TComplex operator /(T d, const TComplex & c) { return TComplex{d*c.fRe,-d*c.fIm} / c.Rho2(); }
template <class T, enable_if_arithmetic<T> = true>
friend TComplex operator -(T d, const TComplex & c) { return {d-c.fRe, -c.fIm}; }

// Convertors
operator Double_t () const {return fRe;}
Expand Down
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