14.7. Decimal Functions and Operators

Decimal Literals

Use DECIMAL 'xxxxxxx.yyyyyyy' syntax to define literal of DECIMAL type.

The precision of DECIMAL type for literal will be equal to number of digits in literal (including trailing and leading zeros). The scale will be equal to number of digits in fractional part (including trailing zeros).

Example literal Data type
DECIMAL '0' DECIMAL(1)
DECIMAL '12345' DECIMAL(5)
DECIMAL '0000012345.1234500000' DECIMAL(20, 10)

Binary Arithmetic Decimal Operators

Standard mathematical operators are supported. The table below explains precision and scale calculation rules for result. Assuming x is of type DECIMAL(xp, xs) and y is of type DECIMAL(yp, ys).
Operation Result type precision Result type scale

x + y

and

x - y

 
min(38,
    1 +
      min(xs, ys) +
      min(xp - xs, yp - ys)
   )
max(xs, ys)
x * y min(38, xp + yp) xs + ys
x / y 
min(38,
    xp + ys
       + max(0, ys-xs)
   )
max(xs, ys)
x % y 
min(xp - xs, yp - ys) +
max(xs, bs)
max(xs, ys)

If the mathematical result of the operation is not exactly representable with the precision and scale of the result data type, then an exception condition is raised - Value is out of range.

Semantic for performing operations on different decimal types like DECIMAL(38, 0) and DECIMAL(38, 1) is that they are first coerced to common supper type. In This case it would be DECIMAL(38, 1). This can cause runtime error Value is out of range if value of a parameter doesn’t fit in common supper type.

Comparison Operators

All standard comparison operators and BETWEEN operator work for DECIMAL type.

Unary Decimal Operators

The - operator performs negation. The type of result is same as type of argument.