unit Myc.Data.Decimal; interface type TScale = 0..7; TDecimal = record strict private FValue: Int64; public constructor Create(AValue: Int64; AScale: TScale); overload; constructor Create(AValue: Double; AScale: TScale); overload; constructor Create(const AValue: TDecimal; ANewScale: TScale); overload; class operator Add(const A, B: TDecimal): TDecimal; inline; class operator Subtract(const A, B: TDecimal): TDecimal; inline; class operator Multiply(const A, B: TDecimal): TDecimal; class operator Divide(const A, B: TDecimal): TDecimal; class operator Equal(const A, B: TDecimal): Boolean; inline; class operator NotEqual(const A, B: TDecimal): Boolean; inline; class operator GreaterThan(const A, B: TDecimal): Boolean; inline; class operator GreaterThanOrEqual(const A, B: TDecimal): Boolean; inline; class operator LessThan(const A, B: TDecimal): Boolean; inline; class operator LessThanOrEqual(const A, B: TDecimal): Boolean; inline; class operator Negative(const A: TDecimal): TDecimal; inline; class operator Round(const A: TDecimal): Int64; class operator Trunc(const A: TDecimal): Int64; class operator Implicit(const A: Int64): TDecimal; inline; class operator Explicit(const A: TDecimal): Double; class function MinValue(AScale: TScale): TDecimal; static; class function MaxValue(AScale: TScale): TDecimal; static; function Sign: Integer; inline; function Abs: TDecimal; inline; function GetValue: Int64; function GetScale: TScale; function GetRawValue: Int64; inline; end; implementation uses System.SysUtils, System.Math; const SCALE_BITS = 3; VALUE_BITS = 61; SCALE_MASK = $07; // CRITICAL FIX: Cast '1' to Int64 to force 64-bit constant evaluation. MIN_VALUE_61BIT = -(Int64(1) shl 60); MAX_VALUE_61BIT = (Int64(1) shl 60) - 1; SIGN_BIT_61 = Int64(1) shl (VALUE_BITS - 1); // Bit 60 for sign check RAW_VALUE_MASK = (Int64(1) shl VALUE_BITS) - 1; // Mask for bits 0..60 // Use a lookup table for powers of 10 for performance PowersOf10: array[TScale] of Int64 = (1, 10, 100, 1000, 10000, 100000, 1000000, 10000000); { TDecimal } constructor TDecimal.Create(AValue: Int64; AScale: TScale); begin // Validate that the incoming value fits within the 61-bit storage. if (AValue < MIN_VALUE_61BIT) or (AValue > MAX_VALUE_61BIT) then raise EOverflow.Create('Value is out of range for a 61-bit TDecimal.'); FValue := (Int64(AScale) shl VALUE_BITS) or (AValue and RAW_VALUE_MASK); end; constructor TDecimal.Create(const AValue: TDecimal; ANewScale: TScale); begin // Create a new decimal by changing the scale of an existing one. var oldScale := AValue.GetScale; if oldScale = ANewScale then begin FValue := AValue.FValue; exit; end; var newValue := AValue.GetValue; var scaleDiff := ANewScale - oldScale; if (scaleDiff > 0) then begin var multiplier := PowersOf10[scaleDiff]; if (newValue > (MAX_VALUE_61BIT div multiplier)) or (newValue < (MIN_VALUE_61BIT div multiplier)) then raise EOverflow.Create('Decimal scale up resulted in an overflow.'); newValue := newValue * multiplier; end else begin // Decreasing scale: divide by 10^(-scaleDiff). Overflow is not an issue here. newValue := newValue div PowersOf10[-scaleDiff]; end; // Pack the new value and scale FValue := (Int64(ANewScale) shl VALUE_BITS) or (newValue and RAW_VALUE_MASK); end; constructor TDecimal.Create(AValue: Double; AScale: TScale); begin // Scale the double by the specified scale and round it to the nearest integer. // Round() will raise an exception if the value exceeds the Int64 range. var intValue := Round(AValue * PowersOf10[AScale]); // Check if the resulting value fits within the 61-bit storage. if (intValue < MIN_VALUE_61BIT) or (intValue > MAX_VALUE_61BIT) then raise EOverflow.Create('Double to TDecimal conversion resulted in an overflow.'); // Pack the value and scale into FValue. FValue := (Int64(AScale) shl VALUE_BITS) or (intValue and RAW_VALUE_MASK); end; function TDecimal.Abs: TDecimal; begin if GetValue < 0 then Result := -Self else Result := Self; end; class operator TDecimal.Add(const A, B: TDecimal): TDecimal; begin var aScale := A.GetScale; var bScale := B.GetScale; // Fast path for performance when scales are identical if aScale = bScale then begin Result := TDecimal.Create(A.GetValue + B.GetValue, aScale); exit; end; // Slower path for different scales: align scales before operation if aScale > bScale then begin var scaledB := TDecimal.Create(B, aScale); Result := TDecimal.Create(A.GetValue + scaledB.GetValue, aScale); end else begin var scaledA := TDecimal.Create(A, bScale); Result := TDecimal.Create(scaledA.GetValue + B.GetValue, bScale); end; end; class operator TDecimal.Subtract(const A, B: TDecimal): TDecimal; begin var aScale := A.GetScale; var bScale := B.GetScale; // Fast path for performance when scales are identical if aScale = bScale then begin Result := TDecimal.Create(A.GetValue - B.GetValue, aScale); exit; end; // Slower path for different scales: align scales before operation if aScale > bScale then begin var scaledB := TDecimal.Create(B, aScale); Result := TDecimal.Create(A.GetValue - scaledB.GetValue, aScale); end else begin var scaledA := TDecimal.Create(A, bScale); Result := TDecimal.Create(scaledA.GetValue - B.GetValue, bScale); end; end; class operator TDecimal.Multiply(const A, B: TDecimal): TDecimal; begin var scaleA := A.GetScale; var scaleB := B.GetScale; if scaleA = scaleB then begin // Fast path for performance when scales are identical var resultValue := MulDivInt64(A.GetValue, B.GetValue, PowersOf10[scaleA]); Result := TDecimal.Create(resultValue, scaleA); end else begin // Slower path for different scales var targetScale := Max(scaleA, scaleB); var resultValue := MulDivInt64(A.GetValue, B.GetValue, PowersOf10[Min(scaleA, scaleB)]); Result := TDecimal.Create(resultValue, targetScale); end; end; class operator TDecimal.Divide(const A, B: TDecimal): TDecimal; begin var bVal := B.GetValue; if bVal = 0 then raise EDivByZero.Create('Division by zero'); var aScale := A.GetScale; var bScale := B.GetScale; // Fast path for performance when scales are identical if aScale = bScale then begin var resultValue := MulDivInt64(A.GetValue, PowersOf10[aScale], bVal); Result := TDecimal.Create(resultValue, aScale); exit; end; // Slower path for different scales: align scales before operation if aScale > bScale then begin var targetScale := aScale; var tempB := TDecimal.Create(B, targetScale); var resultValue := MulDivInt64(A.GetValue, PowersOf10[targetScale], tempB.GetValue); Result := TDecimal.Create(resultValue, targetScale); end else // bScale > aScale begin var targetScale := bScale; var tempA := TDecimal.Create(A, targetScale); var resultValue := MulDivInt64(tempA.GetValue, PowersOf10[targetScale], bVal); Result := TDecimal.Create(resultValue, targetScale); end; end; class operator TDecimal.Equal(const A, B: TDecimal): Boolean; begin var aScale := A.GetScale; var bScale := B.GetScale; // Fast path for identical scales if aScale = bScale then begin Result := (A.GetValue = B.GetValue); exit; end; // Slower path: align scales before comparing values if aScale > bScale then begin var scaledB := TDecimal.Create(B, aScale); Result := (A.GetValue = scaledB.GetValue); end else // bScale > aScale begin var scaledA := TDecimal.Create(A, bScale); Result := (scaledA.GetValue = B.GetValue); end; end; class operator TDecimal.NotEqual(const A, B: TDecimal): Boolean; begin Result := not (A = B); end; class operator TDecimal.GreaterThan(const A, B: TDecimal): Boolean; begin var aScale := A.GetScale; var bScale := B.GetScale; // Fast path for identical scales if aScale = bScale then begin Result := (A.GetValue > B.GetValue); exit; end; // Slower path: align scales before comparing values if aScale > bScale then begin var scaledB := TDecimal.Create(B, aScale); Result := (A.GetValue > scaledB.GetValue); end else // bScale > aScale begin var scaledA := TDecimal.Create(A, bScale); Result := (scaledA.GetValue > B.GetValue); end; end; class operator TDecimal.GreaterThanOrEqual(const A, B: TDecimal): Boolean; begin // Reuse existing operators for consistency Result := not (A < B); end; class operator TDecimal.LessThan(const A, B: TDecimal): Boolean; begin // Reuse existing operators for consistency Result := (B > A); end; class operator TDecimal.LessThanOrEqual(const A, B: TDecimal): Boolean; begin // Reuse existing operators for consistency Result := not (A > B); end; class operator TDecimal.Negative(const A: TDecimal): TDecimal; begin // Negate the value, keep the scale Result := TDecimal.Create(-A.GetValue, A.GetScale); end; class operator TDecimal.Round(const A: TDecimal): Int64; var value: Int64; divisor: Int64; begin value := A.GetValue; divisor := PowersOf10[A.GetScale]; if value >= 0 then Result := (value + divisor div 2) div divisor else Result := (value - divisor div 2) div divisor; end; class operator TDecimal.Trunc(const A: TDecimal): Int64; begin Result := A.GetValue div PowersOf10[A.GetScale]; end; class operator TDecimal.Implicit(const A: Int64): TDecimal; begin // Correctly create a TDecimal with scale 0 Result := TDecimal.Create(A, 0); end; class operator TDecimal.Explicit(const A: TDecimal): Double; begin Result := A.GetValue / PowersOf10[A.GetScale]; end; class function TDecimal.MaxValue(AScale: TScale): TDecimal; begin Result := TDecimal.Create(MAX_VALUE_61BIT, AScale); end; class function TDecimal.MinValue(AScale: TScale): TDecimal; begin Result := TDecimal.Create(MIN_VALUE_61BIT, AScale); end; function TDecimal.GetValue: Int64; var value: Int64; begin value := FValue and RAW_VALUE_MASK; // Perform sign extension from 61 to 64 bits if (value and SIGN_BIT_61) <> 0 then Result := value or (not RAW_VALUE_MASK) else Result := value; end; function TDecimal.GetScale: TScale; begin Result := TScale((FValue shr VALUE_BITS) and SCALE_MASK); end; function TDecimal.GetRawValue: Int64; begin Result := FValue; end; function TDecimal.Sign: Integer; begin var val := GetValue; if val < 0 then exit(-1); if val > 0 then exit(1); exit(0); end; end.