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(*
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* Firebird Interface (fbintf). The fbintf components provide a set of
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* Pascal language bindings for the Firebird API. Although predominantly
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* a new development they include source code taken from IBX and may be
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* considered a derived product. This software thus also includes the copyright
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* notice and license conditions from IBX.
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*
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* Except for those parts dervied from IBX, contents of this file are subject
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* to the Initial Developer's Public License Version 1.0 (the "License"); you
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* may not use this file except in compliance with the License. You may obtain a
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* copy of the License here:
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*
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* http://www.firebirdsql.org/index.php?op=doc&id=idpl
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*
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* Software distributed under the License is distributed on an "AS
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* IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
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* implied. See the License for the specific language governing rights
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* and limitations under the License.
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*
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* The Initial Developer of the Original Code is Tony Whyman.
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*
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* The Original Code is (C) 2021 Tony Whyman, MWA Software
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* (http://www.mwasoftware.co.uk).
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*
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* All Rights Reserved.
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*
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* Contributor(s): ______________________________________.
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*
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*)
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unit FBNumeric;
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{$IFDEF MSWINDOWS}
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{$DEFINE WINDOWS}
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{$ENDIF}
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{$IFDEF FPC}
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{$mode delphi}
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{$codepage UTF8}
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{$interfaces COM}
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{$ENDIF}
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interface
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uses
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Classes, SysUtils, IB, FBActivityMonitor, FmtBCD;
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{ The IFBNumeric interface is a managed type to hold a fixed point integer
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as a 64-bit signed integer plus a scale factor. i.e. the scale factor is
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the base 10 exponent in
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Fixed Point Value = <64-bit signed integer> * 10^<scale factor>
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}
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function StrToNumeric(aValue: AnsiString): IFBNumeric;
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function DoubleToNumeric(aValue: double): IFBNumeric;
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function BCDToNumeric(aValue: TBCD): IFBNumeric;
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function CurrToNumeric(aValue: currency): IFBNumeric;
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function IntToNumeric(aValue: Int64): IFBNumeric;
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function NumericFromRawValues(aValue: Int64; aScale: integer): IFBNumeric;
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function NumericToDouble(aValue: Int64; aScale: integer): double;
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function TryStrToNumeric(S: Ansistring; out Value: int64; out scale: integer): boolean;
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function SafeSmallInt(aValue: Int64): Smallint;
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function SafeInteger(aValue: Int64): integer;
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{Numeric Arithmetic}
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function NumericAdd(x,y: IFBNumeric): IFBNumeric; overload; {returns x + y}
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function NumericSubtract(x,y: IFBNumeric): IFBNumeric; overload; {returns x - y}
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function NumericMultiply(x,y: IFBNumeric): IFBNumeric; overload; {returns x * y}
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function NumericDivide(x,y: IFBNumeric): IFBNumeric; overload; {returns x / y}
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function NumericCompare(x,y: IFBNumeric): integer; overload; {returns -1: x < y; 0: x = y; 1: x > y}
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function NegateNumeric(x: IFBNumeric): IFBNumeric; overload; {returns -x}
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{integer operations}
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function NumericAdd(x: IFBNumeric; y: int64): IFBNumeric; overload; {returns x + y}
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function NumericSubtract(x: IFBNumeric; y: int64): IFBNumeric; overload; {returns x - y}
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function NumericSubtract(x: int64; y: IFBNumeric): IFBNumeric; overload; {returns x - y}
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function NumericMultiply(x: IFBNumeric; y: int64): IFBNumeric; overload; {returns x * y}
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function NumericDivide(x: IFBNumeric; y: int64): IFBNumeric; overload; {returns x / y}
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function NumericDivide(x: int64; y: IFBNumeric): IFBNumeric; overload; {returns x / y}
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function NumericCompare(x: IFBNumeric; y: int64): integer; overload; {returns -1: x < y; 0: x = y; 1: x > y}
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{floating point operations}
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function NumericAdd(x: IFBNumeric; y: double): IFBNumeric; overload; {returns x + y}
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function NumericSubtract(x: IFBNumeric; y: double): IFBNumeric; overload; {returns x - y}
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function NumericSubtract(x: double; y: IFBNumeric): IFBNumeric; overload; {returns x - y}
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function NumericMultiply(x: IFBNumeric; y: double): IFBNumeric; overload; {returns x * y}
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function NumericDivide(x: IFBNumeric; y: double): IFBNumeric; overload; {returns x div y}
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function NumericDivide(x: double; y: IFBNumeric): IFBNumeric; overload; {returns x div y}
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function NumericCompare(x: IFBNumeric; y: double): integer; overload; {returns -1: x < y; 0: x = y; 1: x > y}
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implementation
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uses IBUtils, FBMessages, Math;
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type
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{ TIBNumeric }
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{ TFBNumeric }
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TFBNumeric = class(TFBInterfacedObject,IFBNumeric)
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private
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FValue: Int64;
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FScale: integer;
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public
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constructor Create(aValue: Int64; aScale: integer);
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constructor CreateFromInt(aValue: Int64);
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constructor CreateFromStr(aValue: AnsiString);
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constructor CreateFromDouble(aValue: double);
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constructor CreateFromCurr(aValue: Currency);
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constructor CreateFromBCD(aValue: TBCD);
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public
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{IFBNumeric}
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function getRawValue: Int64;
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function getScale: integer;
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function AdjustScaleTo(aNewScale: integer): IFBNumeric;
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function getAsString: AnsiString;
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function getAsDouble: double;
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function getAsCurrency: Currency;
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function getAsBCD: TBCD;
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function getAsInt64: Int64; {scaled}
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function getAsInteger: integer; {scaled - may be truncated}
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function getAsSmallInt: SmallInt; {scaled - may be truncated}
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end;
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function StrToNumeric(aValue: AnsiString): IFBNumeric;
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begin
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Result := TFBNumeric.CreateFromStr(aValue);
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end;
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function DoubleToNumeric(aValue: double): IFBNumeric;
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begin
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Result := TFBNumeric.CreateFromDouble(aValue);
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end;
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function BCDToNumeric(aValue: TBCD): IFBNumeric;
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begin
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Result := TFBNumeric.CreateFromBCD(aValue);
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end;
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function CurrToNumeric(aValue: currency): IFBNumeric;
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begin
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Result := TFBNumeric.CreateFromCurr(aValue);
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end;
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function IntToNumeric(aValue: Int64): IFBNumeric;
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begin
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Result := TFBNumeric.CreateFromINT(aValue);
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end;
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function NumericFromRawValues(aValue: Int64; aScale: integer): IFBNumeric;
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begin
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Result := TFBNumeric.Create(aValue,aScale);
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end;
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function TryStrToNumeric(S: Ansistring; out Value: int64; out scale: integer): boolean;
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var i: integer;
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ds: integer;
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exponent: integer;
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begin
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Result := false;
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ds := 0;
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exponent := 0;
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S := Trim(S);
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Value := 0;
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scale := 0;
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if Length(S) = 0 then
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Exit;
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{$IF declared(DefaultFormatSettings)}
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with DefaultFormatSettings do
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{$ELSE}
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{$IF declared(FormatSettings)}
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with FormatSettings do
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{$IFEND}
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{$IFEND}
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begin
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for i := length(S) downto 1 do
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begin
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if S[i] = AnsiChar(DecimalSeparator) then
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begin
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if ds <> 0 then Exit; {only one allowed}
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ds := i;
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dec(exponent);
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system.Delete(S,i,1);
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end
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else
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if S[i] in ['+','-'] then
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begin
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if (i > 1) and not (S[i-1] in ['e','E']) then
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Exit; {malformed}
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end
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else
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if S[i] in ['e','E'] then {scientific notation}
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begin
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if ds <> 0 then Exit; {not permitted in exponent}
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if exponent <> 0 then Exit; {only one allowed}
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exponent := i;
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end
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else
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if not (S[i] in ['0'..'9']) then
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{Note: ThousandSeparator not allowed by Delphi specs}
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Exit; {bad character}
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end;
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if exponent > 0 then
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begin
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Result := TryStrToInt(system.copy(S,exponent+1,maxint),Scale);
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if Result then
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begin
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{adjust scale for decimal point}
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if ds <> 0 then
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Scale := Scale - (exponent - ds);
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Result := TryStrToInt64(system.copy(S,1,exponent-1),Value);
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end;
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end
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else
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begin
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if ds > 0 then
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begin
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{remove trailing zeroes}
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while (ds < length(S)) and (S[length(S)] = '0') do {no need to check length as ds > 0}
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system.delete(S,Length(S),1);
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scale := ds - Length(S) - 1;
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end;
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Result := TryStrToInt64(S,Value);
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end;
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end;
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end;
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function NumericToDouble(aValue: Int64; aScale: integer): double;
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begin
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Result := aValue * IntPower(10,aScale);
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end;
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function SafeSmallInt(aValue: Int64): Smallint;
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begin
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if aValue > High(smallint) then
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IBError(ibxeIntegerOverflow,[]);
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if aValue < Low(smallint) then
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IBError(ibxIntegerUnderflow,[]);
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Result := aValue;
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end;
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function SafeInteger(aValue: Int64): integer;
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begin
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if aValue > High(integer) then
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IBError(ibxeIntegerOverflow,[]);
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if aValue < Low(integer) then
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IBError(ibxIntegerUnderflow,[]);
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Result := aValue;
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end;
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{AdjustScale returns a raw int64 value derived from x but with aNewScale}
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function AdjustScale(x: IFBNumeric; aNewScale: integer): int64;
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var rValue: double;
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begin
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rValue := x.getrawValue;
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Result := Round(rValue * IntPower(10,x.getScale-aNewScale));
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end;
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function CompareInt(a,b: integer): integer;
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begin
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if a < b then
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Result := -1
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else
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if a = b then
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Result := 0
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else
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Result := 1;
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end;
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function NumericAdd(x, y: IFBNumeric): IFBNumeric;
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begin
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case CompareInt(x.getScale,y.getScale) of
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0:
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Result := NumericFromRawValues(x.getRawValue + y.getRawValue,x.getScale);
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1:
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Result := NumericFromRawValues(AdjustScale(x,y.getscale) + y.getRawValue,y.getScale);
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else
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Result := NumericFromRawValues(AdjustScale(y,x.getscale) + x.getRawValue,x.getScale);
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end;
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end;
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function NumericSubtract(x, y: IFBNumeric): IFBNumeric;
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begin
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case CompareInt(x.getScale,y.getScale) of
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0:
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Result := NumericFromRawValues(x.getRawValue - y.getRawValue,x.getScale);
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1:
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Result := NumericFromRawValues(AdjustScale(x,y.getscale) - y.getRawValue,y.getScale);
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else
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Result := NumericFromRawValues(AdjustScale(y,x.getscale) - x.getRawValue,x.getScale);
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end;
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end;
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function NumericMultiply(x, y: IFBNumeric): IFBNumeric;
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begin
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Result := NumericFromRawValues(x.getRawValue * y.getRawValue,x.getScale+y.getScale);
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end;
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function NumericDivide(x, y: IFBNumeric): IFBNumeric;
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var z: double;
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begin
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{Compute actual value as a double}
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z := (x.getRawValue / y.getRawValue) * IntPower(10, x.getScale - y.getScale);
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{Return numeric at original no. of decimal places of numerator}
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Result := DoubleTONumeric(z).AdjustScaleTo(x.getScale);
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end;
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function NumericCompare(x, y: IFBNumeric): integer;
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begin
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case CompareInt(x.getScale,y.getScale) of
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0:
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Result := CompareInt(x.getRawValue,y.getRawValue);
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1:
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Result := CompareInt(AdjustScale(x,y.getscale),y.getRawValue);
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else
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Result := CompareInt(x.getRawValue,AdjustScale(y,x.getscale));
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end;
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end;
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function NegateNumeric(x: IFBNumeric): IFBNumeric;
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begin
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Result := NumericFromRawValues(-x.getRawValue,x.getScale);
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end;
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function NumericAdd(x: IFBNumeric; y: int64): IFBNumeric;
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begin
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Result := NumericAdd(x,IntToNumeric(y));
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end;
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function NumericSubtract(x: IFBNumeric; y: int64): IFBNumeric;
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begin
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Result := NumericSubtract(x,IntToNumeric(y));
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end;
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function NumericSubtract(x: int64; y: IFBNumeric): IFBNumeric;
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begin
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Result := NumericSubtract(IntToNumeric(x),y);
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end;
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function NumericMultiply(x: IFBNumeric; y: int64): IFBNumeric;
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begin
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Result := NumericMultiply(x,IntToNumeric(y));
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end;
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function NumericDivide(x: IFBNumeric; y: int64): IFBNumeric;
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begin
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Result := NumericDivide(x,IntToNumeric(y));
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end;
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355 |
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function NumericDivide(x: int64; y: IFBNumeric): IFBNumeric;
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begin
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Result := NumericDivide(IntToNumeric(x),y);
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end;
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360 |
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function NumericCompare(x: IFBNumeric; y: int64): integer;
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362 |
begin
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363 |
Result := NumericCompare(x,IntToNumeric(y));
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end;
|
365 |
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function NumericAdd(x: IFBNumeric; y: double): IFBNumeric;
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367 |
begin
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368 |
Result := NumericAdd(x,DoubleToNumeric(y));
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369 |
end;
|
370 |
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371 |
function NumericSubtract(x: IFBNumeric; y: double): IFBNumeric;
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372 |
begin
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373 |
Result := NumericSubtract(x,DoubleToNumeric(y));
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374 |
end;
|
375 |
|
376 |
function NumericSubtract(x: double; y: IFBNumeric): IFBNumeric;
|
377 |
begin
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378 |
Result := NumericSubtract(DoubleToNumeric(x),y);
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379 |
end;
|
380 |
|
381 |
function NumericMultiply(x: IFBNumeric; y: double): IFBNumeric;
|
382 |
begin
|
383 |
Result := NumericMultiply(x,DoubleToNumeric(y));
|
384 |
end;
|
385 |
|
386 |
function NumericDivide(x: IFBNumeric; y: double): IFBNumeric;
|
387 |
begin
|
388 |
Result := NumericDivide(x,DoubleToNumeric(y));
|
389 |
end;
|
390 |
|
391 |
function NumericDivide(x: double; y: IFBNumeric): IFBNumeric;
|
392 |
begin
|
393 |
Result := NumericDivide(DoubleToNumeric(x),y);
|
394 |
end;
|
395 |
|
396 |
function NumericCompare(x: IFBNumeric; y: double): integer;
|
397 |
begin
|
398 |
Result := NumericCompare(x,DoubleToNumeric(y));
|
399 |
end;
|
400 |
|
401 |
constructor TFBNumeric.Create(aValue: Int64; aScale: integer);
|
402 |
begin
|
403 |
inherited Create;
|
404 |
FValue := aValue;
|
405 |
FScale := aScale;
|
406 |
end;
|
407 |
|
408 |
constructor TFBNumeric.CreateFromInt(aValue: Int64);
|
409 |
begin
|
410 |
inherited Create;
|
411 |
FValue := aValue;
|
412 |
FScale := 0;
|
413 |
end;
|
414 |
|
415 |
constructor TFBNumeric.CreateFromStr(aValue: AnsiString);
|
416 |
begin
|
417 |
inherited Create;
|
418 |
if not TryStrToNumeric(aValue,FValue,FScale) then
|
419 |
IBError(ibxeInvalidDataConversion,[aValue]);
|
420 |
end;
|
421 |
|
422 |
constructor TFBNumeric.CreateFromDouble(aValue: double);
|
423 |
|
424 |
function WithinLimits(a: double): boolean;
|
425 |
begin
|
426 |
a := abs(frac(a));
|
427 |
Result := (a > 0.001) and (a < 0.999); {avoid small rounding errors converting to decimal}
|
428 |
end;
|
429 |
|
430 |
var aScale: integer;
|
431 |
i: int64;
|
432 |
begin
|
433 |
aScale := 0;
|
434 |
while WithinLimits(AValue) do
|
435 |
begin
|
436 |
aValue := aValue * 10;
|
437 |
Inc(aScale);
|
438 |
end;
|
439 |
i := Round(aValue);
|
440 |
Create(i,-aScale);
|
441 |
end;
|
442 |
|
443 |
constructor TFBNumeric.CreateFromCurr(aValue: Currency);
|
444 |
begin
|
445 |
inherited Create;
|
446 |
Move(aValue,FValue,sizeof(Int64));
|
447 |
FScale := -4;
|
448 |
end;
|
449 |
|
450 |
constructor TFBNumeric.CreateFromBCD(aValue: TBCD);
|
451 |
var ScaledBCD: TBCD;
|
452 |
begin
|
453 |
inherited Create;
|
454 |
FScale := -BCDScale(aValue);
|
455 |
BCDMultiply(aValue,Power(10,-FScale),ScaledBCD);
|
456 |
FValue := BCDToInteger(ScaledBCD,true);
|
457 |
end;
|
458 |
|
459 |
function TFBNumeric.getRawValue: Int64;
|
460 |
begin
|
461 |
Result := FValue;
|
462 |
end;
|
463 |
|
464 |
function TFBNumeric.getScale: integer;
|
465 |
begin
|
466 |
Result := FScale;
|
467 |
end;
|
468 |
|
469 |
function TFBNumeric.AdjustScaleTo(aNewScale: integer): IFBNumeric;
|
470 |
begin
|
471 |
if FScale = aNewScale then
|
472 |
Result := TFBNumeric.Create(FValue,FScale)
|
473 |
else
|
474 |
Result := TFBNumeric.Create(AdjustScale(self,aNewScale),aNewScale);
|
475 |
end;
|
476 |
|
477 |
function TFBNumeric.getAsString: AnsiString;
|
478 |
var Scaling : AnsiString;
|
479 |
i: Integer;
|
480 |
begin
|
481 |
Result := IntToStr(FValue);
|
482 |
Scaling := '';
|
483 |
if FScale > 0 then
|
484 |
begin
|
485 |
for i := 1 to FScale do
|
486 |
Result := Result + '0';
|
487 |
end
|
488 |
else
|
489 |
if FScale < 0 then
|
490 |
{$IF declared(DefaultFormatSettings)}
|
491 |
with DefaultFormatSettings do
|
492 |
{$ELSE}
|
493 |
{$IF declared(FormatSettings)}
|
494 |
with FormatSettings do
|
495 |
{$IFEND}
|
496 |
{$IFEND}
|
497 |
begin
|
498 |
if Length(Result) > -FScale then
|
499 |
system.Insert(DecimalSeparator,Result,Length(Result) + FScale+1)
|
500 |
else
|
501 |
begin
|
502 |
Scaling := '0' + DecimalSeparator;
|
503 |
for i := -1 downto FScale + Length(Result) do
|
504 |
Scaling := Scaling + '0';
|
505 |
if FValue < 0 then
|
506 |
system.insert(Scaling,Result,2)
|
507 |
else
|
508 |
Result := Scaling + Result;
|
509 |
end;
|
510 |
end;
|
511 |
end;
|
512 |
|
513 |
function TFBNumeric.getAsDouble: double;
|
514 |
begin
|
515 |
Result := NumericToDouble(FValue,FScale);
|
516 |
end;
|
517 |
|
518 |
function TFBNumeric.getAsCurrency: Currency;
|
519 |
var value: int64;
|
520 |
begin
|
521 |
if FScale <> -4 then
|
522 |
begin
|
523 |
value := AdjustScaleTo(-4).GetRawValue;
|
524 |
Move(value,Result,sizeof(Currency));
|
525 |
end
|
526 |
else
|
527 |
Move(FValue,Result,sizeof(Currency));
|
528 |
end;
|
529 |
|
530 |
function TFBNumeric.getAsBCD: TBCD;
|
531 |
begin
|
532 |
Result := DoubleToBCD(getAsDouble);
|
533 |
end;
|
534 |
|
535 |
function TFBNumeric.getAsInt64: Int64;
|
536 |
var
|
537 |
Scaling : Int64;
|
538 |
i: Integer;
|
539 |
Val: Int64;
|
540 |
begin
|
541 |
Scaling := 1;
|
542 |
Val := FValue;
|
543 |
if FScale > 0 then begin
|
544 |
for i := 1 to FScale do Scaling := Scaling * 10;
|
545 |
result := Val * Scaling;
|
546 |
end else if FScale < 0 then begin
|
547 |
for i := -1 downto FScale do Scaling := Scaling * 10;
|
548 |
result := Val div Scaling;
|
549 |
end else
|
550 |
result := Val;
|
551 |
end;
|
552 |
|
553 |
function TFBNumeric.getAsInteger: integer;
|
554 |
begin
|
555 |
Result := SafeInteger(getAsInt64);
|
556 |
end;
|
557 |
|
558 |
function TFBNumeric.getAsSmallInt: SmallInt;
|
559 |
begin
|
560 |
Result := SafeSmallInt(getAsInt64);
|
561 |
end;
|
562 |
|
563 |
end.
|
564 |
|