416 lines
14 KiB
Ada
416 lines
14 KiB
Ada
|
------------------------------------------------------------------------------
|
||
|
-- --
|
||
|
-- GNAT COMPILER COMPONENTS --
|
||
|
-- --
|
||
|
-- S Y S T E M . V A L _ R E A L --
|
||
|
-- --
|
||
|
-- B o d y --
|
||
|
-- --
|
||
|
-- Copyright (C) 1992-2015, 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. --
|
||
|
-- --
|
||
|
------------------------------------------------------------------------------
|
||
|
|
||
|
with System.Powten_Table; use System.Powten_Table;
|
||
|
with System.Val_Util; use System.Val_Util;
|
||
|
with System.Float_Control;
|
||
|
|
||
|
package body System.Val_Real is
|
||
|
|
||
|
---------------
|
||
|
-- Scan_Real --
|
||
|
---------------
|
||
|
|
||
|
function Scan_Real
|
||
|
(Str : String;
|
||
|
Ptr : not null access Integer;
|
||
|
Max : Integer) return Long_Long_Float
|
||
|
is
|
||
|
P : Integer;
|
||
|
-- Local copy of string pointer
|
||
|
|
||
|
Base : Long_Long_Float;
|
||
|
-- Base value
|
||
|
|
||
|
Uval : Long_Long_Float;
|
||
|
-- Accumulated float result
|
||
|
|
||
|
subtype Digs is Character range '0' .. '9';
|
||
|
-- Used to check for decimal digit
|
||
|
|
||
|
Scale : Integer := 0;
|
||
|
-- Power of Base to multiply result by
|
||
|
|
||
|
Start : Positive;
|
||
|
-- Position of starting non-blank character
|
||
|
|
||
|
Minus : Boolean;
|
||
|
-- Set to True if minus sign is present, otherwise to False
|
||
|
|
||
|
Bad_Base : Boolean := False;
|
||
|
-- Set True if Base out of range or if out of range digit
|
||
|
|
||
|
After_Point : Natural := 0;
|
||
|
-- Set to 1 after the point
|
||
|
|
||
|
Num_Saved_Zeroes : Natural := 0;
|
||
|
-- This counts zeroes after the decimal point. A non-zero value means
|
||
|
-- that this number of previously scanned digits are zero. If the end
|
||
|
-- of the number is reached, these zeroes are simply discarded, which
|
||
|
-- ensures that trailing zeroes after the point never affect the value
|
||
|
-- (which might otherwise happen as a result of rounding). With this
|
||
|
-- processing in place, we can ensure that, for example, we get the
|
||
|
-- same exact result from 1.0E+49 and 1.0000000E+49. This is not
|
||
|
-- necessarily required in a case like this where the result is not
|
||
|
-- a machine number, but it is certainly a desirable behavior.
|
||
|
|
||
|
procedure Scanf;
|
||
|
-- Scans integer literal value starting at current character position.
|
||
|
-- For each digit encountered, Uval is multiplied by 10.0, and the new
|
||
|
-- digit value is incremented. In addition Scale is decremented for each
|
||
|
-- digit encountered if we are after the point (After_Point = 1). The
|
||
|
-- longest possible syntactically valid numeral is scanned out, and on
|
||
|
-- return P points past the last character. On entry, the current
|
||
|
-- character is known to be a digit, so a numeral is definitely present.
|
||
|
|
||
|
-----------
|
||
|
-- Scanf --
|
||
|
-----------
|
||
|
|
||
|
procedure Scanf is
|
||
|
Digit : Natural;
|
||
|
|
||
|
begin
|
||
|
loop
|
||
|
Digit := Character'Pos (Str (P)) - Character'Pos ('0');
|
||
|
P := P + 1;
|
||
|
|
||
|
-- Save up trailing zeroes after the decimal point
|
||
|
|
||
|
if Digit = 0 and then After_Point = 1 then
|
||
|
Num_Saved_Zeroes := Num_Saved_Zeroes + 1;
|
||
|
|
||
|
-- Here for a non-zero digit
|
||
|
|
||
|
else
|
||
|
-- First deal with any previously saved zeroes
|
||
|
|
||
|
if Num_Saved_Zeroes /= 0 then
|
||
|
while Num_Saved_Zeroes > Maxpow loop
|
||
|
Uval := Uval * Powten (Maxpow);
|
||
|
Num_Saved_Zeroes := Num_Saved_Zeroes - Maxpow;
|
||
|
Scale := Scale - Maxpow;
|
||
|
end loop;
|
||
|
|
||
|
Uval := Uval * Powten (Num_Saved_Zeroes);
|
||
|
Scale := Scale - Num_Saved_Zeroes;
|
||
|
|
||
|
Num_Saved_Zeroes := 0;
|
||
|
end if;
|
||
|
|
||
|
-- Accumulate new digit
|
||
|
|
||
|
Uval := Uval * 10.0 + Long_Long_Float (Digit);
|
||
|
Scale := Scale - After_Point;
|
||
|
end if;
|
||
|
|
||
|
-- Done if end of input field
|
||
|
|
||
|
if P > Max then
|
||
|
return;
|
||
|
|
||
|
-- Check next character
|
||
|
|
||
|
elsif Str (P) not in Digs then
|
||
|
if Str (P) = '_' then
|
||
|
Scan_Underscore (Str, P, Ptr, Max, False);
|
||
|
else
|
||
|
return;
|
||
|
end if;
|
||
|
end if;
|
||
|
end loop;
|
||
|
end Scanf;
|
||
|
|
||
|
-- Start of processing for System.Scan_Real
|
||
|
|
||
|
begin
|
||
|
-- We do not tolerate strings with Str'Last = Positive'Last
|
||
|
|
||
|
if Str'Last = Positive'Last then
|
||
|
raise Program_Error with
|
||
|
"string upper bound is Positive'Last, not supported";
|
||
|
end if;
|
||
|
|
||
|
-- We call the floating-point processor reset routine so that we can
|
||
|
-- be sure the floating-point processor is properly set for conversion
|
||
|
-- calls. This is notably need on Windows, where calls to the operating
|
||
|
-- system randomly reset the processor into 64-bit mode.
|
||
|
|
||
|
System.Float_Control.Reset;
|
||
|
|
||
|
Scan_Sign (Str, Ptr, Max, Minus, Start);
|
||
|
P := Ptr.all;
|
||
|
Ptr.all := Start;
|
||
|
|
||
|
-- If digit, scan numeral before point
|
||
|
|
||
|
if Str (P) in Digs then
|
||
|
Uval := 0.0;
|
||
|
Scanf;
|
||
|
|
||
|
-- Initial point, allowed only if followed by digit (RM 3.5(47))
|
||
|
|
||
|
elsif Str (P) = '.'
|
||
|
and then P < Max
|
||
|
and then Str (P + 1) in Digs
|
||
|
then
|
||
|
Uval := 0.0;
|
||
|
|
||
|
-- Any other initial character is an error
|
||
|
|
||
|
else
|
||
|
Bad_Value (Str);
|
||
|
end if;
|
||
|
|
||
|
-- Deal with based case. We reognize either the standard '#' or the
|
||
|
-- allowed alternative replacement ':' (see RM J.2(3)).
|
||
|
|
||
|
if P < Max and then (Str (P) = '#' or else Str (P) = ':') then
|
||
|
declare
|
||
|
Base_Char : constant Character := Str (P);
|
||
|
Digit : Natural;
|
||
|
Fdigit : Long_Long_Float;
|
||
|
|
||
|
begin
|
||
|
-- Set bad base if out of range, and use safe base of 16.0,
|
||
|
-- to guard against division by zero in the loop below.
|
||
|
|
||
|
if Uval < 2.0 or else Uval > 16.0 then
|
||
|
Bad_Base := True;
|
||
|
Uval := 16.0;
|
||
|
end if;
|
||
|
|
||
|
Base := Uval;
|
||
|
Uval := 0.0;
|
||
|
P := P + 1;
|
||
|
|
||
|
-- Special check to allow initial point (RM 3.5(49))
|
||
|
|
||
|
if Str (P) = '.' then
|
||
|
After_Point := 1;
|
||
|
P := P + 1;
|
||
|
end if;
|
||
|
|
||
|
-- Loop to scan digits of based number. On entry to the loop we
|
||
|
-- must have a valid digit. If we don't, then we have an illegal
|
||
|
-- floating-point value, and we raise Constraint_Error, note that
|
||
|
-- Ptr at this stage was reset to the proper (Start) value.
|
||
|
|
||
|
loop
|
||
|
if P > Max then
|
||
|
Bad_Value (Str);
|
||
|
|
||
|
elsif Str (P) in Digs then
|
||
|
Digit := Character'Pos (Str (P)) - Character'Pos ('0');
|
||
|
|
||
|
elsif Str (P) in 'A' .. 'F' then
|
||
|
Digit :=
|
||
|
Character'Pos (Str (P)) - (Character'Pos ('A') - 10);
|
||
|
|
||
|
elsif Str (P) in 'a' .. 'f' then
|
||
|
Digit :=
|
||
|
Character'Pos (Str (P)) - (Character'Pos ('a') - 10);
|
||
|
|
||
|
else
|
||
|
Bad_Value (Str);
|
||
|
end if;
|
||
|
|
||
|
-- Save up trailing zeroes after the decimal point
|
||
|
|
||
|
if Digit = 0 and then After_Point = 1 then
|
||
|
Num_Saved_Zeroes := Num_Saved_Zeroes + 1;
|
||
|
|
||
|
-- Here for a non-zero digit
|
||
|
|
||
|
else
|
||
|
-- First deal with any previously saved zeroes
|
||
|
|
||
|
if Num_Saved_Zeroes /= 0 then
|
||
|
Uval := Uval * Base ** Num_Saved_Zeroes;
|
||
|
Scale := Scale - Num_Saved_Zeroes;
|
||
|
Num_Saved_Zeroes := 0;
|
||
|
end if;
|
||
|
|
||
|
-- Now accumulate the new digit
|
||
|
|
||
|
Fdigit := Long_Long_Float (Digit);
|
||
|
|
||
|
if Fdigit >= Base then
|
||
|
Bad_Base := True;
|
||
|
else
|
||
|
Scale := Scale - After_Point;
|
||
|
Uval := Uval * Base + Fdigit;
|
||
|
end if;
|
||
|
end if;
|
||
|
|
||
|
P := P + 1;
|
||
|
|
||
|
if P > Max then
|
||
|
Bad_Value (Str);
|
||
|
|
||
|
elsif Str (P) = '_' then
|
||
|
Scan_Underscore (Str, P, Ptr, Max, True);
|
||
|
|
||
|
else
|
||
|
-- Skip past period after digit. Note that the processing
|
||
|
-- here will permit either a digit after the period, or the
|
||
|
-- terminating base character, as allowed in (RM 3.5(48))
|
||
|
|
||
|
if Str (P) = '.' and then After_Point = 0 then
|
||
|
P := P + 1;
|
||
|
After_Point := 1;
|
||
|
|
||
|
if P > Max then
|
||
|
Bad_Value (Str);
|
||
|
end if;
|
||
|
end if;
|
||
|
|
||
|
exit when Str (P) = Base_Char;
|
||
|
end if;
|
||
|
end loop;
|
||
|
|
||
|
-- Based number successfully scanned out (point was found)
|
||
|
|
||
|
Ptr.all := P + 1;
|
||
|
end;
|
||
|
|
||
|
-- Non-based case, check for being at decimal point now. Note that
|
||
|
-- in Ada 95, we do not insist on a decimal point being present
|
||
|
|
||
|
else
|
||
|
Base := 10.0;
|
||
|
After_Point := 1;
|
||
|
|
||
|
if P <= Max and then Str (P) = '.' then
|
||
|
P := P + 1;
|
||
|
|
||
|
-- Scan digits after point if any are present (RM 3.5(46))
|
||
|
|
||
|
if P <= Max and then Str (P) in Digs then
|
||
|
Scanf;
|
||
|
end if;
|
||
|
end if;
|
||
|
|
||
|
Ptr.all := P;
|
||
|
end if;
|
||
|
|
||
|
-- At this point, we have Uval containing the digits of the value as
|
||
|
-- an integer, and Scale indicates the negative of the number of digits
|
||
|
-- after the point. Base contains the base value (an integral value in
|
||
|
-- the range 2.0 .. 16.0). Test for exponent, must be at least one
|
||
|
-- character after the E for the exponent to be valid.
|
||
|
|
||
|
Scale := Scale + Scan_Exponent (Str, Ptr, Max, Real => True);
|
||
|
|
||
|
-- At this point the exponent has been scanned if one is present and
|
||
|
-- Scale is adjusted to include the exponent value. Uval contains the
|
||
|
-- the integral value which is to be multiplied by Base ** Scale.
|
||
|
|
||
|
-- If base is not 10, use exponentiation for scaling
|
||
|
|
||
|
if Base /= 10.0 then
|
||
|
Uval := Uval * Base ** Scale;
|
||
|
|
||
|
-- For base 10, use power of ten table, repeatedly if necessary
|
||
|
|
||
|
elsif Scale > 0 then
|
||
|
while Scale > Maxpow loop
|
||
|
Uval := Uval * Powten (Maxpow);
|
||
|
Scale := Scale - Maxpow;
|
||
|
end loop;
|
||
|
|
||
|
-- Note that we still know that Scale > 0, since the loop
|
||
|
-- above leaves Scale in the range 1 .. Maxpow.
|
||
|
|
||
|
Uval := Uval * Powten (Scale);
|
||
|
|
||
|
elsif Scale < 0 then
|
||
|
while (-Scale) > Maxpow loop
|
||
|
Uval := Uval / Powten (Maxpow);
|
||
|
Scale := Scale + Maxpow;
|
||
|
end loop;
|
||
|
|
||
|
-- Note that we still know that Scale < 0, since the loop
|
||
|
-- above leaves Scale in the range -Maxpow .. -1.
|
||
|
|
||
|
Uval := Uval / Powten (-Scale);
|
||
|
end if;
|
||
|
|
||
|
-- Here is where we check for a bad based number
|
||
|
|
||
|
if Bad_Base then
|
||
|
Bad_Value (Str);
|
||
|
|
||
|
-- If OK, then deal with initial minus sign, note that this processing
|
||
|
-- is done even if Uval is zero, so that -0.0 is correctly interpreted.
|
||
|
|
||
|
else
|
||
|
if Minus then
|
||
|
return -Uval;
|
||
|
else
|
||
|
return Uval;
|
||
|
end if;
|
||
|
end if;
|
||
|
end Scan_Real;
|
||
|
|
||
|
----------------
|
||
|
-- Value_Real --
|
||
|
----------------
|
||
|
|
||
|
function Value_Real (Str : String) return Long_Long_Float is
|
||
|
begin
|
||
|
-- We have to special case Str'Last = Positive'Last because the normal
|
||
|
-- circuit ends up setting P to Str'Last + 1 which is out of bounds. We
|
||
|
-- deal with this by converting to a subtype which fixes the bounds.
|
||
|
|
||
|
if Str'Last = Positive'Last then
|
||
|
declare
|
||
|
subtype NT is String (1 .. Str'Length);
|
||
|
begin
|
||
|
return Value_Real (NT (Str));
|
||
|
end;
|
||
|
|
||
|
-- Normal case where Str'Last < Positive'Last
|
||
|
|
||
|
else
|
||
|
declare
|
||
|
V : Long_Long_Float;
|
||
|
P : aliased Integer := Str'First;
|
||
|
begin
|
||
|
V := Scan_Real (Str, P'Access, Str'Last);
|
||
|
Scan_Trailing_Blanks (Str, P);
|
||
|
return V;
|
||
|
end;
|
||
|
end if;
|
||
|
end Value_Real;
|
||
|
|
||
|
end System.Val_Real;
|