1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148
|
------------------------------------------------------------------------------
-- --
-- GNAT COMPILER COMPONENTS --
-- --
-- S Y S T E M . P O W T E N _ L F L T --
-- --
-- S p e c --
-- --
-- Copyright (C) 2020-2024, 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_LFlt is
pragma Pure;
Maxpow_Exact : constant := 22;
-- Largest power of five exactly representable with Long_Float. It is equal
-- to floor (M * log 2 / log 5), when M is the size of the mantissa (53).
-- 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_Float
Powfive : constant array (0 .. Maxpow, 1 .. 2) of 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_Float'Machine (5.0**23)],
24 => [5.0**24, 5.0**24 - Long_Float'Machine (5.0**24)],
25 => [5.0**25, 5.0**25 - Long_Float'Machine (5.0**25)],
26 => [5.0**26, 5.0**26 - Long_Float'Machine (5.0**26)],
27 => [5.0**27, 5.0**27 - Long_Float'Machine (5.0**27)],
28 => [5.0**28, 5.0**28 - Long_Float'Machine (5.0**28)],
29 => [5.0**29, 5.0**29 - Long_Float'Machine (5.0**29)],
30 => [5.0**30, 5.0**30 - Long_Float'Machine (5.0**30)],
31 => [5.0**31, 5.0**31 - Long_Float'Machine (5.0**31)],
32 => [5.0**32, 5.0**32 - Long_Float'Machine (5.0**32)],
33 => [5.0**33, 5.0**33 - Long_Float'Machine (5.0**33)],
34 => [5.0**34, 5.0**34 - Long_Float'Machine (5.0**34)],
35 => [5.0**35, 5.0**35 - Long_Float'Machine (5.0**35)],
36 => [5.0**36, 5.0**36 - Long_Float'Machine (5.0**36)],
37 => [5.0**37, 5.0**37 - Long_Float'Machine (5.0**37)],
38 => [5.0**38, 5.0**38 - Long_Float'Machine (5.0**38)],
39 => [5.0**39, 5.0**39 - Long_Float'Machine (5.0**39)],
40 => [5.0**40, 5.0**40 - Long_Float'Machine (5.0**40)],
41 => [5.0**41, 5.0**41 - Long_Float'Machine (5.0**41)],
42 => [5.0**42, 5.0**42 - Long_Float'Machine (5.0**42)],
43 => [5.0**43, 5.0**43 - Long_Float'Machine (5.0**43)],
44 => [5.0**44, 5.0**44 - Long_Float'Machine (5.0**44)]];
Powfive_100 : constant array (1 .. 2) of Long_Float :=
[5.0**100, 5.0**100 - Long_Float'Machine (5.0**100)];
Powfive_200 : constant array (1 .. 2) of Long_Float :=
[5.0**200, 5.0**200 - Long_Float'Machine (5.0**200)];
Powfive_300 : constant array (1 .. 2) of Long_Float :=
[5.0**300, 5.0**300 - Long_Float'Machine (5.0**300)];
Powten : constant array (0 .. Maxpow, 1 .. 2) of 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_Float'Machine (1.0E+23)],
24 => [1.0E+24, 1.0E+24 - Long_Float'Machine (1.0E+24)],
25 => [1.0E+25, 1.0E+25 - Long_Float'Machine (1.0E+25)],
26 => [1.0E+26, 1.0E+26 - Long_Float'Machine (1.0E+26)],
27 => [1.0E+27, 1.0E+27 - Long_Float'Machine (1.0E+27)],
28 => [1.0E+28, 1.0E+28 - Long_Float'Machine (1.0E+28)],
29 => [1.0E+29, 1.0E+29 - Long_Float'Machine (1.0E+29)],
30 => [1.0E+30, 1.0E+30 - Long_Float'Machine (1.0E+30)],
31 => [1.0E+31, 1.0E+31 - Long_Float'Machine (1.0E+31)],
32 => [1.0E+32, 1.0E+32 - Long_Float'Machine (1.0E+32)],
33 => [1.0E+33, 1.0E+33 - Long_Float'Machine (1.0E+33)],
34 => [1.0E+34, 1.0E+34 - Long_Float'Machine (1.0E+34)],
35 => [1.0E+35, 1.0E+35 - Long_Float'Machine (1.0E+35)],
36 => [1.0E+36, 1.0E+36 - Long_Float'Machine (1.0E+36)],
37 => [1.0E+37, 1.0E+37 - Long_Float'Machine (1.0E+37)],
38 => [1.0E+38, 1.0E+38 - Long_Float'Machine (1.0E+38)],
39 => [1.0E+39, 1.0E+39 - Long_Float'Machine (1.0E+39)],
40 => [1.0E+40, 1.0E+40 - Long_Float'Machine (1.0E+40)],
41 => [1.0E+41, 1.0E+41 - Long_Float'Machine (1.0E+41)],
42 => [1.0E+42, 1.0E+42 - Long_Float'Machine (1.0E+42)],
43 => [1.0E+43, 1.0E+43 - Long_Float'Machine (1.0E+43)],
44 => [1.0E+44, 1.0E+44 - Long_Float'Machine (1.0E+44)]];
end System.Powten_LFlt;
|