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|
------------------------------------------------------------------------------
-- --
-- GNAT COMPILER COMPONENTS --
-- --
-- S Y S T E M . V A L _ R E A L --
-- --
-- B o d y --
-- --
-- Copyright (C) 1992-2020, 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.Val_Util; use System.Val_Util;
with System.Float_Control;
package body System.Val_Real is
procedure Scan_Integral_Digits
(Str : String;
Index : in out Integer;
Max : Integer;
Value : out Long_Long_Integer;
Scale : out Integer;
Base_Violation : in out Boolean;
Base : Long_Long_Integer := 10;
Base_Specified : Boolean := False);
-- Scan the integral part of a real (i.e: before decimal separator)
--
-- The string parsed is Str (Index .. Max), and after the call Index will
-- point to the first non parsed character.
--
-- For each digit parsed either value := value * base + digit, or scale
-- is incremented by 1.
--
-- Base_Violation will be set to True a digit found is not part of the Base
procedure Scan_Decimal_Digits
(Str : String;
Index : in out Integer;
Max : Integer;
Value : in out Long_Long_Integer;
Scale : in out Integer;
Base_Violation : in out Boolean;
Base : Long_Long_Integer := 10;
Base_Specified : Boolean := False);
-- Scan the decimal part of a real (i.e: after decimal separator)
--
-- The string parsed is Str (Index .. Max), and after the call Index will
-- point to the first non parsed character.
--
-- For each digit parsed value = value * base + digit and scale is
-- decremented by 1. If precision limit is reached remaining digits are
-- still parsed but ignored.
--
-- Base_Violation will be set to True a digit found is not part of the Base
subtype Char_As_Digit is Long_Long_Integer range -2 .. 15;
subtype Valid_Digit is Char_As_Digit range 0 .. Char_As_Digit'Last;
Underscore : constant Char_As_Digit := -2;
E_Digit : constant Char_As_Digit := 14;
function As_Digit (C : Character) return Char_As_Digit;
-- Given a character return the digit it represent. If the character is
-- not a digit then a negative value is returned, -2 for underscore and
-- -1 for any other character.
Precision_Limit : constant Long_Long_Integer :=
2 ** (Long_Long_Float'Machine_Mantissa - 1) - 1;
-- This is an upper bound for the number of bits used to represent the
-- mantissa. Beyond that number, any digits parsed are useless.
--------------
-- As_Digit --
--------------
function As_Digit (C : Character) return Char_As_Digit is
begin
case C is
when '0' .. '9' =>
return Character'Pos (C) - Character'Pos ('0');
when 'a' .. 'f' =>
return Character'Pos (C) - (Character'Pos ('a') - 10);
when 'A' .. 'F' =>
return Character'Pos (C) - (Character'Pos ('A') - 10);
when '_' =>
return Underscore;
when others =>
return -1;
end case;
end As_Digit;
-------------------------
-- Scan_Decimal_Digits --
-------------------------
procedure Scan_Decimal_Digits
(Str : String;
Index : in out Integer;
Max : Integer;
Value : in out Long_Long_Integer;
Scale : in out Integer;
Base_Violation : in out Boolean;
Base : Long_Long_Integer := 10;
Base_Specified : Boolean := False)
is
Precision_Limit_Reached : Boolean := False;
-- Set to True if addition of a digit will cause Value to be superior
-- to Precision_Limit.
Digit : Char_As_Digit;
-- The current digit.
Trailing_Zeros : Natural := 0;
-- Number of trailing zeros at a given point.
begin
pragma Assert (Base in 2 .. 16);
-- If initial Scale is not 0 then it means that Precision_Limit was
-- reached during integral part scanning.
if Scale > 0 then
Precision_Limit_Reached := True;
end if;
-- The function precondition is that the first character is a valid
-- digit.
Digit := As_Digit (Str (Index));
loop
-- Check if base is correct. If the base is not specified the digit
-- E or e cannot be considered as a base violation as it can be used
-- for exponentiation.
if Digit >= Base then
if Base_Specified then
Base_Violation := True;
elsif Digit = E_Digit then
return;
else
Base_Violation := True;
end if;
end if;
-- If precision limit has been reached just ignore any remaining
-- digits for the computation of Value and Scale. The scanning
-- should continue only to assess the validity of the string
if not Precision_Limit_Reached then
if Digit = 0 then
-- Trailing '0' digits are ignored unless a non-zero digit is
-- found.
Trailing_Zeros := Trailing_Zeros + 1;
else
-- Handle accumulated zeros.
for J in 1 .. Trailing_Zeros loop
if Value > Precision_Limit / Base then
Precision_Limit_Reached := True;
exit;
else
Value := Value * Base;
Scale := Scale - 1;
end if;
end loop;
-- Reset trailing zero counter
Trailing_Zeros := 0;
-- Handle current non zero digit
if Value > (Precision_Limit - Digit) / Base then
Precision_Limit_Reached := True;
else
Value := Value * Base + Digit;
Scale := Scale - 1;
end if;
end if;
end if;
-- Check next character
Index := Index + 1;
if Index > Max then
return;
end if;
Digit := As_Digit (Str (Index));
if Digit < 0 then
if Digit = Underscore and Index + 1 <= Max then
-- Underscore is only allowed if followed by a digit
Digit := As_Digit (Str (Index + 1));
if Digit in Valid_Digit then
Index := Index + 1;
else
return;
end if;
else
-- Neither a valid underscore nor a digit.
return;
end if;
end if;
end loop;
end Scan_Decimal_Digits;
--------------------------
-- Scan_Integral_Digits --
--------------------------
procedure Scan_Integral_Digits
(Str : String;
Index : in out Integer;
Max : Integer;
Value : out Long_Long_Integer;
Scale : out Integer;
Base_Violation : in out Boolean;
Base : Long_Long_Integer := 10;
Base_Specified : Boolean := False)
is
Precision_Limit_Reached : Boolean := False;
-- Set to True if addition of a digit will cause Value to be superior
-- to Precision_Limit.
Digit : Char_As_Digit;
-- The current digit
begin
-- Initialize Scale and Value
Value := 0;
Scale := 0;
-- The function precondition is that the first character is a valid
-- digit.
Digit := As_Digit (Str (Index));
loop
-- Check if base is correct. If the base is not specified the digit
-- E or e cannot be considered as a base violation as it can be used
-- for exponentiation.
if Digit >= Base then
if Base_Specified then
Base_Violation := True;
elsif Digit = E_Digit then
return;
else
Base_Violation := True;
end if;
end if;
if Precision_Limit_Reached then
-- Precision limit has been reached so just update the exponent
Scale := Scale + 1;
else
pragma Assert (Base /= 0);
if Value > (Precision_Limit - Digit) / Base then
-- Updating Value will overflow so ignore this digit and any
-- following ones. Only update the scale
Precision_Limit_Reached := True;
Scale := Scale + 1;
else
Value := Value * Base + Digit;
end if;
end if;
-- Look for the next character
Index := Index + 1;
if Index > Max then
return;
end if;
Digit := As_Digit (Str (Index));
if Digit not in Valid_Digit then
-- Next character is not a digit. In that case stop scanning
-- unless the next chracter is an underscore followed by a digit.
if Digit = Underscore and Index + 1 <= Max then
Digit := As_Digit (Str (Index + 1));
if Digit in Valid_Digit then
Index := Index + 1;
else
return;
end if;
else
return;
end if;
end if;
end loop;
end Scan_Integral_Digits;
---------------
-- Scan_Real --
---------------
function Scan_Real
(Str : String;
Ptr : not null access Integer;
Max : Integer)
return Long_Long_Float
is
Start : Positive;
-- Position of starting non-blank character
Minus : Boolean;
-- Set to True if minus sign is present, otherwise to False
Index : Integer;
-- Local copy of string pointer
Int_Value : Long_Long_Integer := -1;
-- Mantissa as an Integer
Int_Scale : Integer := 0;
-- Exponent value
Base_Violation : Boolean := False;
-- If True some digits where not in the base. The float is still scan
-- till the end even if an error will be raised.
Uval : Long_Long_Float := 0.0;
-- Contain the final value at the end of the function
After_Point : Boolean := False;
-- True if a decimal should be parsed
Base : Long_Long_Integer := 10;
-- Current base (default: 10)
Base_Char : Character := ASCII.NUL;
-- Character used to set the base. If Nul this means that default
-- base is used.
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 the optional sign
Scan_Sign (Str, Ptr, Max, Minus, Start);
Index := Ptr.all;
Ptr.all := Start;
-- First character can be either a decimal digit or a dot.
if Str (Index) in '0' .. '9' then
pragma Annotate
(CodePeer, Intentional,
"test always true", "defensive code below");
-- If this is a digit it can indicates either the float decimal
-- part or the base to use
Scan_Integral_Digits
(Str,
Index,
Max => Max,
Value => Int_Value,
Scale => Int_Scale,
Base_Violation => Base_Violation,
Base => 10);
elsif Str (Index) = '.' and then
-- A dot is only allowed if followed by a digit.
Index < Max and then
Str (Index + 1) in '0' .. '9'
then
-- Initial point, allowed only if followed by digit (RM 3.5(47))
After_Point := True;
Index := Index + 1;
Int_Value := 0;
else
Bad_Value (Str);
end if;
-- Check if the first number encountered is a base
if Index < Max and then
(Str (Index) = '#' or else Str (Index) = ':')
then
Base_Char := Str (Index);
Base := Int_Value;
-- Reset Int_Value to indicate that parsing of integral value should
-- be done
Int_Value := -1;
if Base < 2 or else Base > 16 then
Base_Violation := True;
Base := 16;
end if;
Index := Index + 1;
if Str (Index) = '.' and then
Index < Max and then
As_Digit (Str (Index + 1)) in Valid_Digit
then
After_Point := True;
Index := Index + 1;
Int_Value := 0;
end if;
end if;
-- Does scanning of integral part needed
if Int_Value < 0 then
if Index > Max or else As_Digit (Str (Index)) not in Valid_Digit then
Bad_Value (Str);
end if;
Scan_Integral_Digits
(Str,
Index,
Max => Max,
Value => Int_Value,
Scale => Int_Scale,
Base_Violation => Base_Violation,
Base => Base,
Base_Specified => Base_Char /= ASCII.NUL);
end if;
-- Do we have a dot ?
if not After_Point and then
Index <= Max and then
Str (Index) = '.'
then
-- At this stage if After_Point was not set, this means that an
-- integral part has been found. Thus the dot is valid even if not
-- followed by a digit.
if Index < Max and then As_Digit (Str (Index + 1)) in Valid_Digit then
After_Point := True;
end if;
Index := Index + 1;
end if;
if After_Point then
-- Parse decimal part
Scan_Decimal_Digits
(Str,
Index,
Max => Max,
Value => Int_Value,
Scale => Int_Scale,
Base_Violation => Base_Violation,
Base => Base,
Base_Specified => Base_Char /= ASCII.NUL);
end if;
-- If an explicit base was specified ensure that the delimiter is found
if Base_Char /= ASCII.NUL then
if Index > Max or else Str (Index) /= Base_Char then
Bad_Value (Str);
else
Index := Index + 1;
end if;
end if;
-- Compute the final value
Uval := Long_Long_Float (Int_Value);
-- Update pointer and scan exponent.
Ptr.all := Index;
Int_Scale := Int_Scale + Scan_Exponent (Str,
Ptr,
Max,
Real => True);
Uval := Uval * Long_Long_Float (Base) ** Int_Scale;
-- Here is where we check for a bad based number
if Base_Violation 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;
|