-- --
------------------------------------------------------------------------------
-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 --
- ---------------
+ 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)
- function Scan_Real
- (Str : String;
- Ptr : not null access Integer;
- Max : Integer) return Long_Long_Float
is
- P : Integer;
- -- Local copy of string pointer
+ Precision_Limit_Reached : Boolean := False;
+ -- Set to True if addition of a digit will cause Value to be superior
+ -- to Precision_Limit.
- Base : Long_Long_Float;
- -- Base value
+ Digit : Char_As_Digit;
+ -- The current digit.
- Uval : Long_Long_Float;
- -- Accumulated float result
+ Trailing_Zeros : Natural := 0;
+ -- Number of trailing zeros at a given point.
+ begin
- subtype Digs is Character range '0' .. '9';
- -- Used to check for decimal digit
+ -- 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;
- Scale : Integer := 0;
- -- Power of Base to multiply result by
+ -- 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;
- Start : Positive;
- -- Position of starting non-blank character
+ -- 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
- Minus : Boolean;
- -- Set to True if minus sign is present, otherwise to False
+ -- 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;
- 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
-
- Precision_Limit : constant Long_Long_Float :=
- 2.0 ** (Long_Long_Float'Machine_Mantissa - 1);
- -- This is an upper bound for the number of bits used to represent the
- -- mantissa. Beyond that number, any digits parsed by Scanf are useless.
- -- Thus, only the scale should be updated. This ensures that infinity is
- -- not reached by the temporary Uval, which could lead to erroneous
- -- rounding (for example: 0.4444444... or 1<n zero>E-n).
-
- 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;
- Uval_Tmp : Long_Long_Float;
- Precision_Limit_Reached : Boolean := False;
- begin
- loop
- Digit := Character'Pos (Str (P)) - Character'Pos ('0');
-
- if not Precision_Limit_Reached then
- -- Compute potential new value
- Uval_Tmp := Uval * 10.0 + Long_Long_Float (Digit);
-
- if Uval_Tmp > Precision_Limit then
+ -- 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;
- if Precision_Limit_Reached then
- -- If beyond the precision of the mantissa then just ignore the
- -- digit, to avoid rounding issues.
- if After_Point = 0 then
- Scale := Scale + 1;
- end if;
- else
- Uval := Uval_Tmp;
- Scale := Scale - After_Point;
- end if;
+ -- Check next character
+ Index := Index + 1;
- -- Check next character
- P := P + 1;
+ if Index > Max then
+ return;
+ end if;
- if P > Max then
- -- Done if end of input field
- return;
+ Digit := As_Digit (Str (Index));
- elsif Str (P) not in Digs then
- -- If next character is not a digit, check if this is an
- -- underscore. If this is not the case, then return.
- if Str (P) = '_' then
- Scan_Underscore (Str, P, Ptr, Max, False);
+ if Digit < 0 then
+ if Digit = Underscore and Index + 1 <= Max then
+ -- Underscore is only alllowed 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.
- end loop;
- end Scanf;
-
- -- Start of processing for System.Scan_Real
-
+ Digit : Char_As_Digit;
+ -- The current digit
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;
- Uval_Tmp : Long_Long_Float;
- Precision_Limit_Reached : Boolean := False;
- 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;
+ -- 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;
- 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;
+ if Precision_Limit_Reached then
+ -- Precision limit has been reached so just update the exponent
+ Scale := Scale + 1;
+ else
+ 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;
- -- 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);
+ -- Look for the next character
+ Index := Index + 1;
+ if Index > Max then
+ return;
+ end if;
- elsif Str (P) in 'a' .. 'f' then
- Digit :=
- Character'Pos (Str (P)) - (Character'Pos ('a') - 10);
+ 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
- Bad_Value (Str);
+ return;
end if;
+ else
+ return;
+ end if;
+ end if;
+ end loop;
- if not Precision_Limit_Reached then
- -- Compute potential new value
- Uval_Tmp := Uval * Base + Long_Long_Float (Digit);
+ end Scan_Integral_Digits;
- if Uval_Tmp > Precision_Limit then
- Precision_Limit_Reached := True;
- end if;
- end if;
+ ---------------
+ -- Scan_Real --
+ ---------------
- if Precision_Limit_Reached then
- -- If beyond precision of the mantissa then just update
- -- the scale and discard remaining digits.
+ function Scan_Real
+ (Str : String;
+ Ptr : not null access Integer;
+ Max : Integer)
+ return Long_Long_Float
- if After_Point = 0 then
- Scale := Scale + 1;
- end if;
+ is
+ Start : Positive;
+ -- Position of starting non-blank character
- else
- -- Now accumulate the new digit
+ Minus : Boolean;
+ -- Set to True if minus sign is present, otherwise to False
- Fdigit := Long_Long_Float (Digit);
+ Index : Integer;
+ -- Local copy of string pointer
- if Fdigit >= Base then
- Bad_Base := True;
- else
- Scale := Scale - After_Point;
- Uval := Uval_Tmp;
- end if;
- end if;
+ Int_Value : Long_Long_Integer := -1;
+ -- Mantissa as an Integer
- P := P + 1;
+ Int_Scale : Integer := 0;
+ -- Exponent value
- if P > Max then
- Bad_Value (Str);
+ 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.
- elsif Str (P) = '_' then
- Scan_Underscore (Str, P, Ptr, Max, True);
+ Uval : Long_Long_Float := 0.0;
+ -- Contain the final value at the end of the function
- 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))
+ After_Point : Boolean := False;
+ -- True if a decimal should be parsed
- if Str (P) = '.' and then After_Point = 0 then
- P := P + 1;
- After_Point := 1;
+ Base : Long_Long_Integer := 10;
+ -- Current base (default: 10)
- if P > Max then
- Bad_Value (Str);
- end if;
- end if;
+ Base_Char : Character := ASCII.NUL;
+ -- Character used to set the base. If Nul this means that default
+ -- base is used.
- exit when Str (P) = Base_Char;
- end if;
- end loop;
+ 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;
- -- Based number successfully scanned out (point was found)
+ -- 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.
- Ptr.all := P + 1;
- end;
+ System.Float_Control.Reset;
- -- 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
+ -- 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
+ -- 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
- Base := 10.0;
- After_Point := 1;
+ Bad_Value (Str);
+ end if;
- if P <= Max and then Str (P) = '.' then
- P := P + 1;
+ -- 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;
- -- Scan digits after point if any are present (RM 3.5(46))
+ Index := Index + 1;
- if P <= Max and then Str (P) in Digs then
- Scanf;
- end if;
+ 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;
-
- 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);
+ -- 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;
- -- 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.
+ 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;
- -- If base is not 10, use exponentiation for scaling
+ -- 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;
- if Base /= 10.0 then
- Uval := Uval * Base ** Scale;
+ Index := Index + 1;
+ end if;
- -- For base 10, use power of ten table, repeatedly if necessary
+ 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;
- elsif Scale > 0 then
- while Scale > Maxpow and then Uval'Valid loop
- Uval := Uval * Powten (Maxpow);
- Scale := Scale - Maxpow;
- end loop;
+ -- 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;
- -- Note that we still know that Scale > 0, since the loop
- -- above leaves Scale in the range 1 .. Maxpow.
+ -- Compute the final value
+ Uval := Long_Long_Float (Int_Value);
- if Uval'Valid then
- Uval := Uval * Powten (Scale);
- end if;
+ -- Update pointer and scan exponent.
+ Ptr.all := Index;
- elsif Scale < 0 then
- while (-Scale) > Maxpow and then Uval'Valid loop
- Uval := Uval / Powten (Maxpow);
- Scale := Scale + Maxpow;
- end loop;
+ Int_Scale := Int_Scale + Scan_Exponent (Str,
+ Ptr,
+ Max,
+ Real => True);
- -- Note that we still know that Scale < 0, since the loop
- -- above leaves Scale in the range -Maxpow .. -1.
- if Uval'Valid then
- Uval := Uval / Powten (-Scale);
- end if;
- end if;
+ Uval := Uval * Long_Long_Float (Base) ** Int_Scale;
-- Here is where we check for a bad based number
-
- if Bad_Base then
+ 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;
return Uval;
end if;
end if;
+
end Scan_Real;
----------------