gcc/ada/libgnat/s-powllf.ads

   1 ------------------------------------------------------------------------------
   2 --                                                                          --
   3 --                         GNAT COMPILER COMPONENTS                         --
   4 --                                                                          --
   5 --                    S Y S T E M . P O W T E N _ L L F                     --
   6 --                                                                          --
   7 --                                 S p e c                                  --
   8 --                                                                          --
   9 --          Copyright (C) 1992-2023, Free Software Foundation, Inc.         --
  10 --                                                                          --
  11 -- GNAT is free software;  you can  redistribute it  and/or modify it under --
  12 -- terms of the  GNU General Public License as published  by the Free Soft- --
  13 -- ware  Foundation;  either version 3,  or (at your option) any later ver- --
  14 -- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
  15 -- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
  16 -- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
  17 --                                                                          --
  18 -- As a special exception under Section 7 of GPL version 3, you are granted --
  19 -- additional permissions described in the GCC Runtime Library Exception,   --
  20 -- version 3.1, as published by the Free Software Foundation.               --
  21 --                                                                          --
  22 -- You should have received a copy of the GNU General Public License and    --
  23 -- a copy of the GCC Runtime Library Exception along with this program;     --
  24 -- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
  25 -- <http://www.gnu.org/licenses/>.                                          --
  26 --                                                                          --
  27 -- GNAT was originally developed  by the GNAT team at  New York University. --
  28 -- Extensive contributions were provided by Ada Core Technologies Inc.      --
  29 --                                                                          --
  30 ------------------------------------------------------------------------------
  31
  32 --  This package provides tables of powers used for real conversions
  33
  34 package System.Powten_LLF is
  35    pragma Pure;
  36
  37    Maxpow_Exact : constant :=
  38      (if Long_Long_Float'Machine_Mantissa = 64 then 27 else 22);
  39    --  Largest power of five exactly representable with Long_Long_Float. It is
  40    --  equal to floor (M * log 2 / log 5), when M is the size of the mantissa
  41    --  assumed to be either 64 for IEEE Extended or 53 for IEEE Double.
  42    --  It also works for any number of the form 5*(2**N) and in particular 10.
  43
  44    Maxpow : constant := Maxpow_Exact * 2;
  45    --  Largest power of five exactly representable with double Long_Long_Float
  46
  47    Powfive : constant array (0 .. 54, 1 .. 2) of Long_Long_Float :=
  48      [00 => [5.0**00, 0.0],
  49       01 => [5.0**01, 0.0],
  50       02 => [5.0**02, 0.0],
  51       03 => [5.0**03, 0.0],
  52       04 => [5.0**04, 0.0],
  53       05 => [5.0**05, 0.0],
  54       06 => [5.0**06, 0.0],
  55       07 => [5.0**07, 0.0],
  56       08 => [5.0**08, 0.0],
  57       09 => [5.0**09, 0.0],
  58       10 => [5.0**10, 0.0],
  59       11 => [5.0**11, 0.0],
  60       12 => [5.0**12, 0.0],
  61       13 => [5.0**13, 0.0],
  62       14 => [5.0**14, 0.0],
  63       15 => [5.0**15, 0.0],
  64       16 => [5.0**16, 0.0],
  65       17 => [5.0**17, 0.0],
  66       18 => [5.0**18, 0.0],
  67       19 => [5.0**19, 0.0],
  68       20 => [5.0**20, 0.0],
  69       21 => [5.0**21, 0.0],
  70       22 => [5.0**22, 0.0],
  71       23 => [5.0**23, 5.0**23 - Long_Long_Float'Machine (5.0**23)],
  72       24 => [5.0**24, 5.0**24 - Long_Long_Float'Machine (5.0**24)],
  73       25 => [5.0**25, 5.0**25 - Long_Long_Float'Machine (5.0**25)],
  74       26 => [5.0**26, 5.0**26 - Long_Long_Float'Machine (5.0**26)],
  75       27 => [5.0**27, 5.0**27 - Long_Long_Float'Machine (5.0**27)],
  76       28 => [5.0**28, 5.0**28 - Long_Long_Float'Machine (5.0**28)],
  77       29 => [5.0**29, 5.0**29 - Long_Long_Float'Machine (5.0**29)],
  78       30 => [5.0**30, 5.0**30 - Long_Long_Float'Machine (5.0**30)],
  79       31 => [5.0**31, 5.0**31 - Long_Long_Float'Machine (5.0**31)],
  80       32 => [5.0**32, 5.0**32 - Long_Long_Float'Machine (5.0**32)],
  81       33 => [5.0**33, 5.0**33 - Long_Long_Float'Machine (5.0**33)],
  82       34 => [5.0**34, 5.0**34 - Long_Long_Float'Machine (5.0**34)],
  83       35 => [5.0**35, 5.0**35 - Long_Long_Float'Machine (5.0**35)],
  84       36 => [5.0**36, 5.0**36 - Long_Long_Float'Machine (5.0**36)],
  85       37 => [5.0**37, 5.0**37 - Long_Long_Float'Machine (5.0**37)],
  86       38 => [5.0**38, 5.0**38 - Long_Long_Float'Machine (5.0**38)],
  87       39 => [5.0**39, 5.0**39 - Long_Long_Float'Machine (5.0**39)],
  88       40 => [5.0**40, 5.0**40 - Long_Long_Float'Machine (5.0**40)],
  89       41 => [5.0**41, 5.0**41 - Long_Long_Float'Machine (5.0**41)],
  90       42 => [5.0**42, 5.0**42 - Long_Long_Float'Machine (5.0**42)],
  91       43 => [5.0**43, 5.0**43 - Long_Long_Float'Machine (5.0**43)],
  92       44 => [5.0**44, 5.0**44 - Long_Long_Float'Machine (5.0**44)],
  93       45 => [5.0**45, 5.0**45 - Long_Long_Float'Machine (5.0**45)],
  94       46 => [5.0**46, 5.0**46 - Long_Long_Float'Machine (5.0**46)],
  95       47 => [5.0**47, 5.0**47 - Long_Long_Float'Machine (5.0**47)],
  96       48 => [5.0**48, 5.0**48 - Long_Long_Float'Machine (5.0**48)],
  97       49 => [5.0**49, 5.0**49 - Long_Long_Float'Machine (5.0**49)],
  98       50 => [5.0**50, 5.0**50 - Long_Long_Float'Machine (5.0**50)],
  99       51 => [5.0**51, 5.0**51 - Long_Long_Float'Machine (5.0**51)],
 100       52 => [5.0**52, 5.0**52 - Long_Long_Float'Machine (5.0**52)],
 101       53 => [5.0**53, 5.0**53 - Long_Long_Float'Machine (5.0**53)],
 102       54 => [5.0**54, 5.0**54 - Long_Long_Float'Machine (5.0**54)]];
 103
 104    Powfive_100 : constant array (1 .. 2) of Long_Long_Float :=
 105      [5.0**100, 5.0**100 - Long_Long_Float'Machine (5.0**100)];
 106
 107    Powfive_200 : constant array (1 .. 2) of Long_Long_Float :=
 108      [5.0**200, 5.0**200 - Long_Long_Float'Machine (5.0**200)];
 109
 110    Powfive_300 : constant array (1 .. 2) of Long_Long_Float :=
 111      [5.0**300, 5.0**300 - Long_Long_Float'Machine (5.0**300)];
 112
 113    Powten : constant array (0 .. 54, 1 .. 2) of Long_Long_Float :=
 114      [00 => [1.0E+00, 0.0],
 115       01 => [1.0E+01, 0.0],
 116       02 => [1.0E+02, 0.0],
 117       03 => [1.0E+03, 0.0],
 118       04 => [1.0E+04, 0.0],
 119       05 => [1.0E+05, 0.0],
 120       06 => [1.0E+06, 0.0],
 121       07 => [1.0E+07, 0.0],
 122       08 => [1.0E+08, 0.0],
 123       09 => [1.0E+09, 0.0],
 124       10 => [1.0E+10, 0.0],
 125       11 => [1.0E+11, 0.0],
 126       12 => [1.0E+12, 0.0],
 127       13 => [1.0E+13, 0.0],
 128       14 => [1.0E+14, 0.0],
 129       15 => [1.0E+15, 0.0],
 130       16 => [1.0E+16, 0.0],
 131       17 => [1.0E+17, 0.0],
 132       18 => [1.0E+18, 0.0],
 133       19 => [1.0E+19, 0.0],
 134       20 => [1.0E+20, 0.0],
 135       21 => [1.0E+21, 0.0],
 136       22 => [1.0E+22, 0.0],
 137       23 => [1.0E+23, 1.0E+23 - Long_Long_Float'Machine (1.0E+23)],
 138       24 => [1.0E+24, 1.0E+24 - Long_Long_Float'Machine (1.0E+24)],
 139       25 => [1.0E+25, 1.0E+25 - Long_Long_Float'Machine (1.0E+25)],
 140       26 => [1.0E+26, 1.0E+26 - Long_Long_Float'Machine (1.0E+26)],
 141       27 => [1.0E+27, 1.0E+27 - Long_Long_Float'Machine (1.0E+27)],
 142       28 => [1.0E+28, 1.0E+28 - Long_Long_Float'Machine (1.0E+28)],
 143       29 => [1.0E+29, 1.0E+29 - Long_Long_Float'Machine (1.0E+29)],
 144       30 => [1.0E+30, 1.0E+30 - Long_Long_Float'Machine (1.0E+30)],
 145       31 => [1.0E+31, 1.0E+31 - Long_Long_Float'Machine (1.0E+31)],
 146       32 => [1.0E+32, 1.0E+32 - Long_Long_Float'Machine (1.0E+32)],
 147       33 => [1.0E+33, 1.0E+33 - Long_Long_Float'Machine (1.0E+33)],
 148       34 => [1.0E+34, 1.0E+34 - Long_Long_Float'Machine (1.0E+34)],
 149       35 => [1.0E+35, 1.0E+35 - Long_Long_Float'Machine (1.0E+35)],
 150       36 => [1.0E+36, 1.0E+36 - Long_Long_Float'Machine (1.0E+36)],
 151       37 => [1.0E+37, 1.0E+37 - Long_Long_Float'Machine (1.0E+37)],
 152       38 => [1.0E+38, 1.0E+38 - Long_Long_Float'Machine (1.0E+38)],
 153       39 => [1.0E+39, 1.0E+39 - Long_Long_Float'Machine (1.0E+39)],
 154       40 => [1.0E+40, 1.0E+40 - Long_Long_Float'Machine (1.0E+40)],
 155       41 => [1.0E+41, 1.0E+41 - Long_Long_Float'Machine (1.0E+41)],
 156       42 => [1.0E+42, 1.0E+42 - Long_Long_Float'Machine (1.0E+42)],
 157       43 => [1.0E+43, 1.0E+43 - Long_Long_Float'Machine (1.0E+43)],
 158       44 => [1.0E+44, 1.0E+44 - Long_Long_Float'Machine (1.0E+44)],
 159       45 => [1.0E+45, 1.0E+45 - Long_Long_Float'Machine (1.0E+45)],
 160       46 => [1.0E+46, 1.0E+46 - Long_Long_Float'Machine (1.0E+46)],
 161       47 => [1.0E+47, 1.0E+47 - Long_Long_Float'Machine (1.0E+47)],
 162       48 => [1.0E+48, 1.0E+48 - Long_Long_Float'Machine (1.0E+48)],
 163       49 => [1.0E+49, 1.0E+49 - Long_Long_Float'Machine (1.0E+49)],
 164       50 => [1.0E+50, 1.0E+50 - Long_Long_Float'Machine (1.0E+50)],
 165       51 => [1.0E+51, 1.0E+51 - Long_Long_Float'Machine (1.0E+51)],
 166       52 => [1.0E+52, 1.0E+52 - Long_Long_Float'Machine (1.0E+52)],
 167       53 => [1.0E+53, 1.0E+53 - Long_Long_Float'Machine (1.0E+53)],
 168       54 => [1.0E+54, 1.0E+54 - Long_Long_Float'Machine (1.0E+54)]];
 169
 170 end System.Powten_LLF;