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------------------------------------------------------------------------------
--                                                                          --
--                         GNAT COMPILER COMPONENTS                         --
--                                                                          --
--                    S Y S T E M . P O W T E N _ L L F                     --
--                                                                          --
--                                 S p e c                                  --
--                                                                          --
--          Copyright (C) 1992-2024, 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    --
-- <http://www.gnu.org/licenses/>.                                          --
--                                                                          --
-- GNAT was originally developed  by the GNAT team at  New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc.      --
--                                                                          --
------------------------------------------------------------------------------

--  This package provides tables of powers used for real conversions

package System.Powten_LLF is
   pragma Pure;

   Maxpow_Exact : constant :=
     (if Long_Long_Float'Machine_Mantissa = 64 then 27 else 22);
   --  Largest power of five exactly representable with Long_Long_Float. It is
   --  equal to floor (M * log 2 / log 5), when M is the size of the mantissa
   --  assumed to be either 64 for IEEE Extended or 53 for IEEE Double.
   --  It also works for any number of the form 5*(2**N) and in particular 10.

   Maxpow : constant := Maxpow_Exact * 2;
   --  Largest power of five exactly representable with double Long_Long_Float

   Powfive : constant array (0 .. 54, 1 .. 2) of Long_Long_Float :=
     [00 => [5.0**00, 0.0],
      01 => [5.0**01, 0.0],
      02 => [5.0**02, 0.0],
      03 => [5.0**03, 0.0],
      04 => [5.0**04, 0.0],
      05 => [5.0**05, 0.0],
      06 => [5.0**06, 0.0],
      07 => [5.0**07, 0.0],
      08 => [5.0**08, 0.0],
      09 => [5.0**09, 0.0],
      10 => [5.0**10, 0.0],
      11 => [5.0**11, 0.0],
      12 => [5.0**12, 0.0],
      13 => [5.0**13, 0.0],
      14 => [5.0**14, 0.0],
      15 => [5.0**15, 0.0],
      16 => [5.0**16, 0.0],
      17 => [5.0**17, 0.0],
      18 => [5.0**18, 0.0],
      19 => [5.0**19, 0.0],
      20 => [5.0**20, 0.0],
      21 => [5.0**21, 0.0],
      22 => [5.0**22, 0.0],
      23 => [5.0**23, 5.0**23 - Long_Long_Float'Machine (5.0**23)],
      24 => [5.0**24, 5.0**24 - Long_Long_Float'Machine (5.0**24)],
      25 => [5.0**25, 5.0**25 - Long_Long_Float'Machine (5.0**25)],
      26 => [5.0**26, 5.0**26 - Long_Long_Float'Machine (5.0**26)],
      27 => [5.0**27, 5.0**27 - Long_Long_Float'Machine (5.0**27)],
      28 => [5.0**28, 5.0**28 - Long_Long_Float'Machine (5.0**28)],
      29 => [5.0**29, 5.0**29 - Long_Long_Float'Machine (5.0**29)],
      30 => [5.0**30, 5.0**30 - Long_Long_Float'Machine (5.0**30)],
      31 => [5.0**31, 5.0**31 - Long_Long_Float'Machine (5.0**31)],
      32 => [5.0**32, 5.0**32 - Long_Long_Float'Machine (5.0**32)],
      33 => [5.0**33, 5.0**33 - Long_Long_Float'Machine (5.0**33)],
      34 => [5.0**34, 5.0**34 - Long_Long_Float'Machine (5.0**34)],
      35 => [5.0**35, 5.0**35 - Long_Long_Float'Machine (5.0**35)],
      36 => [5.0**36, 5.0**36 - Long_Long_Float'Machine (5.0**36)],
      37 => [5.0**37, 5.0**37 - Long_Long_Float'Machine (5.0**37)],
      38 => [5.0**38, 5.0**38 - Long_Long_Float'Machine (5.0**38)],
      39 => [5.0**39, 5.0**39 - Long_Long_Float'Machine (5.0**39)],
      40 => [5.0**40, 5.0**40 - Long_Long_Float'Machine (5.0**40)],
      41 => [5.0**41, 5.0**41 - Long_Long_Float'Machine (5.0**41)],
      42 => [5.0**42, 5.0**42 - Long_Long_Float'Machine (5.0**42)],
      43 => [5.0**43, 5.0**43 - Long_Long_Float'Machine (5.0**43)],
      44 => [5.0**44, 5.0**44 - Long_Long_Float'Machine (5.0**44)],
      45 => [5.0**45, 5.0**45 - Long_Long_Float'Machine (5.0**45)],
      46 => [5.0**46, 5.0**46 - Long_Long_Float'Machine (5.0**46)],
      47 => [5.0**47, 5.0**47 - Long_Long_Float'Machine (5.0**47)],
      48 => [5.0**48, 5.0**48 - Long_Long_Float'Machine (5.0**48)],
      49 => [5.0**49, 5.0**49 - Long_Long_Float'Machine (5.0**49)],
      50 => [5.0**50, 5.0**50 - Long_Long_Float'Machine (5.0**50)],
      51 => [5.0**51, 5.0**51 - Long_Long_Float'Machine (5.0**51)],
      52 => [5.0**52, 5.0**52 - Long_Long_Float'Machine (5.0**52)],
      53 => [5.0**53, 5.0**53 - Long_Long_Float'Machine (5.0**53)],
      54 => [5.0**54, 5.0**54 - Long_Long_Float'Machine (5.0**54)]];

   Powfive_100 : constant array (1 .. 2) of Long_Long_Float :=
     [5.0**100, 5.0**100 - Long_Long_Float'Machine (5.0**100)];

   Powfive_200 : constant array (1 .. 2) of Long_Long_Float :=
     [5.0**200, 5.0**200 - Long_Long_Float'Machine (5.0**200)];

   Powfive_300 : constant array (1 .. 2) of Long_Long_Float :=
     [5.0**300, 5.0**300 - Long_Long_Float'Machine (5.0**300)];

   Powten : constant array (0 .. 54, 1 .. 2) of Long_Long_Float :=
     [00 => [1.0E+00, 0.0],
      01 => [1.0E+01, 0.0],
      02 => [1.0E+02, 0.0],
      03 => [1.0E+03, 0.0],
      04 => [1.0E+04, 0.0],
      05 => [1.0E+05, 0.0],
      06 => [1.0E+06, 0.0],
      07 => [1.0E+07, 0.0],
      08 => [1.0E+08, 0.0],
      09 => [1.0E+09, 0.0],
      10 => [1.0E+10, 0.0],
      11 => [1.0E+11, 0.0],
      12 => [1.0E+12, 0.0],
      13 => [1.0E+13, 0.0],
      14 => [1.0E+14, 0.0],
      15 => [1.0E+15, 0.0],
      16 => [1.0E+16, 0.0],
      17 => [1.0E+17, 0.0],
      18 => [1.0E+18, 0.0],
      19 => [1.0E+19, 0.0],
      20 => [1.0E+20, 0.0],
      21 => [1.0E+21, 0.0],
      22 => [1.0E+22, 0.0],
      23 => [1.0E+23, 1.0E+23 - Long_Long_Float'Machine (1.0E+23)],
      24 => [1.0E+24, 1.0E+24 - Long_Long_Float'Machine (1.0E+24)],
      25 => [1.0E+25, 1.0E+25 - Long_Long_Float'Machine (1.0E+25)],
      26 => [1.0E+26, 1.0E+26 - Long_Long_Float'Machine (1.0E+26)],
      27 => [1.0E+27, 1.0E+27 - Long_Long_Float'Machine (1.0E+27)],
      28 => [1.0E+28, 1.0E+28 - Long_Long_Float'Machine (1.0E+28)],
      29 => [1.0E+29, 1.0E+29 - Long_Long_Float'Machine (1.0E+29)],
      30 => [1.0E+30, 1.0E+30 - Long_Long_Float'Machine (1.0E+30)],
      31 => [1.0E+31, 1.0E+31 - Long_Long_Float'Machine (1.0E+31)],
      32 => [1.0E+32, 1.0E+32 - Long_Long_Float'Machine (1.0E+32)],
      33 => [1.0E+33, 1.0E+33 - Long_Long_Float'Machine (1.0E+33)],
      34 => [1.0E+34, 1.0E+34 - Long_Long_Float'Machine (1.0E+34)],
      35 => [1.0E+35, 1.0E+35 - Long_Long_Float'Machine (1.0E+35)],
      36 => [1.0E+36, 1.0E+36 - Long_Long_Float'Machine (1.0E+36)],
      37 => [1.0E+37, 1.0E+37 - Long_Long_Float'Machine (1.0E+37)],
      38 => [1.0E+38, 1.0E+38 - Long_Long_Float'Machine (1.0E+38)],
      39 => [1.0E+39, 1.0E+39 - Long_Long_Float'Machine (1.0E+39)],
      40 => [1.0E+40, 1.0E+40 - Long_Long_Float'Machine (1.0E+40)],
      41 => [1.0E+41, 1.0E+41 - Long_Long_Float'Machine (1.0E+41)],
      42 => [1.0E+42, 1.0E+42 - Long_Long_Float'Machine (1.0E+42)],
      43 => [1.0E+43, 1.0E+43 - Long_Long_Float'Machine (1.0E+43)],
      44 => [1.0E+44, 1.0E+44 - Long_Long_Float'Machine (1.0E+44)],
      45 => [1.0E+45, 1.0E+45 - Long_Long_Float'Machine (1.0E+45)],
      46 => [1.0E+46, 1.0E+46 - Long_Long_Float'Machine (1.0E+46)],
      47 => [1.0E+47, 1.0E+47 - Long_Long_Float'Machine (1.0E+47)],
      48 => [1.0E+48, 1.0E+48 - Long_Long_Float'Machine (1.0E+48)],
      49 => [1.0E+49, 1.0E+49 - Long_Long_Float'Machine (1.0E+49)],
      50 => [1.0E+50, 1.0E+50 - Long_Long_Float'Machine (1.0E+50)],
      51 => [1.0E+51, 1.0E+51 - Long_Long_Float'Machine (1.0E+51)],
      52 => [1.0E+52, 1.0E+52 - Long_Long_Float'Machine (1.0E+52)],
      53 => [1.0E+53, 1.0E+53 - Long_Long_Float'Machine (1.0E+53)],
      54 => [1.0E+54, 1.0E+54 - Long_Long_Float'Machine (1.0E+54)]];

end System.Powten_LLF;