19 template <typename W, int P> Relation Real<W, P>::Compare(const Real &y) const {  in Compare()
57 ValueWithRealFlags<Real<W, P>> Real<W, P>::Add(  in Add()
58     const Real &y, Rounding rounding) const {  in Add()
59   ValueWithRealFlags<Real> result;  in Add()
137 ValueWithRealFlags<Real<W, P>> Real<W, P>::Multiply(  in Multiply()
138     const Real &y, Rounding rounding) const {  in Multiply()
139   ValueWithRealFlags<Real> result;  in Multiply()
197 ValueWithRealFlags<Real<W, P>> Real<W, P>::Divide(  in Divide()
198     const Real &y, Rounding rounding) const {  in Divide()
199   ValueWithRealFlags<Real> result;  in Divide()
265 ValueWithRealFlags<Real<W, P>> Real<W, P>::SQRT(Rounding rounding) const {  in SQRT()
266   ValueWithRealFlags<Real> result;  in SQRT()
292       Real scaled;  in SQRT()
331 ValueWithRealFlags<Real<W, P>> Real<W, P>::NEAREST(bool upward) const {  in NEAREST()
332   ValueWithRealFlags<Real> result;  in NEAREST()
375 ValueWithRealFlags<Real<W, P>> Real<W, P>::HYPOT(  in HYPOT()
376     const Real &y, Rounding rounding) const {  in HYPOT()
377   ValueWithRealFlags<Real> result;  in HYPOT()
390     Real one;  in HYPOT()
406 ValueWithRealFlags<Real<W, P>> Real<W, P>::MOD(  in MOD()
407     const Real &y, Rounding rounding) const {  in MOD()
408   ValueWithRealFlags<Real> result;  in MOD()
415       result.value = Real{}.Negate(); // -0.  in MOD()
418     Real toInt{quotient.AccumulateFlags(result.flags)  in MOD()
421     Real product{toInt.Multiply(y, rounding).AccumulateFlags(result.flags)};  in MOD()
429 ValueWithRealFlags<Real<W, P>> Real<W, P>::MODULO(  in MODULO()
430     const Real &y, Rounding rounding) const {  in MODULO()
431   ValueWithRealFlags<Real> result;  in MODULO()
438       result.value = Real{}.Negate(); // -0.  in MODULO()
441     Real toInt{quotient.AccumulateFlags(result.flags)  in MODULO()
444     Real product{toInt.Multiply(y, rounding).AccumulateFlags(result.flags)};  in MODULO()
451 ValueWithRealFlags<Real<W, P>> Real<W, P>::DIM(  in DIM()
452     const Real &y, Rounding rounding) const {  in DIM()
453   ValueWithRealFlags<Real> result;  in DIM()
466 ValueWithRealFlags<Real<W, P>> Real<W, P>::ToWholeNumber(  in ToWholeNumber()
468   ValueWithRealFlags<Real> result{*this};  in ToWholeNumber()
477       Real adjust; // ABS(EPSILON(adjust)) == 0.5  in ToWholeNumber()
492 RealFlags Real<W, P>::Normalize(bool negative, int exponent,  in Normalize()
552 RealFlags Real<W, P>::Round(  in Round()
593 void Real<W, P>::NormalizeAndRound(ValueWithRealFlags<Real> &result,  in NormalizeAndRound()
633 ValueWithRealFlags<Real<W, P>> Real<W, P>::Read(  in Read()
637   const auto *value{reinterpret_cast<Real<W, P> *>(&converted.binary)};  in Read()
641 template <typename W, int P> std::string Real<W, P>::DumpHexadecimal() const {  in DumpHexadecimal()
691 llvm::raw_ostream &Real<W, P>::AsFortran(  in AsFortran()
730 template <typename W, int P> Real<W, P> Real<W, P>::RRSPACING() const {  in RRSPACING()
736     Real result;  in RRSPACING()
743 template <typename W, int P> Real<W, P> Real<W, P>::SPACING() const {  in SPACING()
751     Real result;  in SPACING()
760 Real<W, P> Real<W, P>::SET_EXPONENT(int expo) const {  in SET_EXPONENT()
768     Real result;  in SET_EXPONENT()
775 template <typename W, int P> Real<W, P> Real<W, P>::FRACTION() const {  in FRACTION()
779 template class Real<Integer<16>, 11>;  variable
780 template class Real<Integer<16>, 8>;  variable
781 template class Real<Integer<32>, 24>;  variable
782 template class Real<Integer<64>, 53>;  variable
783 template class Real<Integer<80>, 64>;  variable
784 template class Real<Integer<128>, 113>;  variable