------------------------------------------------------------------------------ -- -- -- GNAT COMPILER COMPONENTS -- -- -- -- S Y S T E M . D O U B L E _ R E A L . P R O D U C T -- -- -- -- B o d y -- -- -- -- Copyright (C) 2021-2022, Free Software Foundation, Inc. -- -- -- -- GNAT is free software; you can redistribute it and/or modify it under -- -- terms of the GNU General Public License as published by the Free Soft- -- -- ware Foundation; either version 3, or (at your option) any later ver- -- -- sion. GNAT is distributed in the hope that it will be useful, but WITH- -- -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -- -- or FITNESS FOR A PARTICULAR PURPOSE. -- -- -- -- As a special exception under Section 7 of GPL version 3, you are granted -- -- additional permissions described in the GCC Runtime Library Exception, -- -- version 3.1, as published by the Free Software Foundation. -- -- -- -- You should have received a copy of the GNU General Public License and -- -- a copy of the GCC Runtime Library Exception along with this program; -- -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see -- -- . -- -- -- -- GNAT was originally developed by the GNAT team at New York University. -- -- Extensive contributions were provided by Ada Core Technologies Inc. -- -- -- ------------------------------------------------------------------------------ -- This is the version of the separate package body for targets with an FMA separate (System.Double_Real) package body Product is function Fused_Multiply_Add (A, B, C : Num) return Num; -- Return the result of A * B + C without intermediate rounding ------------------------ -- Fused_Multiply_Add -- ------------------------ function Fused_Multiply_Add (A, B, C : Num) return Num is begin case Num'Size is when 32 => declare function Do_FMA (A, B, C : Num) return Num; pragma Import (Intrinsic, Do_FMA, "__builtin_fmaf"); begin return Do_FMA (A, B, C); end; when 64 => declare function Do_FMA (A, B, C : Num) return Num; pragma Import (Intrinsic, Do_FMA, "__builtin_fma"); begin return Do_FMA (A, B, C); end; when others => raise Program_Error; end case; end Fused_Multiply_Add; -------------- -- Two_Prod -- -------------- function Two_Prod (A, B : Num) return Double_T is P : constant Num := A * B; E : Num; begin if Is_Infinity (P) or else Is_Zero (P) then return (P, 0.0); else E := Fused_Multiply_Add (A, B, -P); return (P, E); end if; end Two_Prod; ------------- -- Two_Sqr -- ------------- function Two_Sqr (A : Num) return Double_T is (Two_Prod (A, A)); end Product;