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F.2 The Package Decimal

F.2 The Package Decimal

Static Semantics

1
The library package Decimal has the following declaration:

2
package Ada.Decimal is
   pragma Pure(Decimal);

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   Max_Scale : constant := implementation-defined;
   Min_Scale : constant := implementation-defined;

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   Min_Delta : constant := 10.0**(-Max_Scale);
   Max_Delta : constant := 10.0**(-Min_Scale);

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   Max_Decimal_Digits : constant := implementation-defined;

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   generic
      type Dividend_Type  is delta <> digits <>;
      type Divisor_Type   is delta <> digits <>;
      type Quotient_Type  is delta <> digits <>;
      type Remainder_Type is delta <> digits <>;
   procedure Divide (Dividend  : in Dividend_Type;
                     Divisor   : in Divisor_Type;
                     Quotient  : out Quotient_Type;
                     Remainder : out Remainder_Type);
   pragma Convention(Intrinsic, Divide);

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end Ada.Decimal;

7.a
Implementation defined:  The values of named numbers in the package Decimal.

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Max_Scale is the largest N such that 10.0**(-N) is allowed as a decimal type's delta.  Its type is universal_integer.

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Min_Scale is the smallest N such that 10.0**(-N) is allowed as a decimal type's delta. Its type is universal_integer.

10
Min_Delta is the smallest value allowed for delta in a decimal_fixed_point_definition.  Its type is universal_real.

11
Max_Delta is the largest value allowed for delta in a decimal_fixed_point_definition.  Its type is universal_real.

12
Max_Decimal_Digits is the largest value allowed for digits in a decimal_fixed_point_definition.  Its type is universal_integer.

12.a
Reason: The name is Max_Decimal_Digits versus Max_Digits, in order to avoid confusion with the named number System.Max_Digits relevant to floating point.

Static Semantics

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The effect of Divide is as follows. The value of Quotient is Quotient_Type(Dividend/Divisor). The value of Remainder is Remainder_Type(Intermediate), where Intermediate is the difference between Dividend and the product of Divisor and Quotient;  this result is computed exactly.

Implementation Requirements

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Decimal.Max_Decimal_Digits shall be at least 18.

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Decimal.Max_Scale shall be at least 18.

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Decimal.Min_Scale shall be at most 0.

NOTES

17 1
The effect of division yielding a quotient with control over rounding versus truncation is obtained by applying either the function attribute Quotient_Type'Round or the conversion Quotient_Type to the expression Dividend/Divisor.



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