A decimal number that can have a floating point

Don't shy away from spinning your own version of this if needed, like

type FieldException
    = DivisionByZeroResult
    | Infinity Sign


Result FieldException Decimal

See also Decimal.Exception

Any Decimal except 0 is represented this way

What comes after its Sign

Some digits after the decimal point. Can't be none.

Note that "fraction" here doesn't mean "rational number with a numerator and denominator" or "number in range [0;1]" It means: the absolute value of a written decimal number without a period, like 0.345 or 0.001

You think this name can be improved? → issue

Absolute value of a signed Decimal ≥ 1

Non-number calculation result, see also IEEE 754 number exception states

Result Exception Decimal for example is like an elm/core Float except

• Exceptions are an explicit case so you can easily extract a Decimal
• it can have arbitrary decimal points, see Decimal

Convert from an elm/core Float. Don't be surprised to find more precise representations in Decimal-land

-9999.124 |> Decimal.fromFloat
--→ Ok with the Decimal representation of
--→ 999.1239999999997962731868028640747070312

Its nearest greater Integer number

Its nearest lower Integer number

Remove the Fraction part after the decimal point . to create an Integer

Convert to a Float

Keep in mind that DecimalOrException -> Float can be lossy since Float is fixed in bit size while Decimal is not

NaN, infinity or Decimal.toFloat

Keep in mind that Decimal -> Float can be lossy since Float is fixed in bit size while Decimal is not

infinity/NaN represented as a Float

Print an Exception