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      Understanding Datylon Rounding

      Learn more about how rounding works in Datylon datasheets.

       

      In Datylon, rounding is performed using the following formula:

      Also written as: 

      Datylon Rounding = Math.round(number × (10 ^ digits)) / (10 ^ digits)

       

      How Math.round Works

      The rounding is based on JavaScript’s Math.round function, which behaves as follows:

      1. If the fractional portion of the number is greater than 0.5, the number is rounded to the next integer with the higher absolute value.
      2. If the fractional portion is less than 0.5, the number is rounded to the next integer with the lower absolute value.
      3. If the fractional portion is exactly 0.5, the number is rounded upward (toward +∞) regardless of whether it is positive or negative.

      Example:

      Rounding 10.55 with Precision 1

      Let’s break down the steps for rounding 10.55 to precision 1 using Datylon’s rounding formula:

      1. Step 1: Multiply by 10^digits
        Since the precision is 0, we calculate:
        10.55 × (10 ^ 1) = 105.5
      2. Step 2: Apply Math.round
        Next, apply the Math.round function to the result:
        Math.round(105.5) = 106
        This outcome occurs because the fractional portion (0.5) is exactly 0.5, the number is rounded upward (toward +∞) regardless of whether it is positive or negative.
      3. Step 3: Divide by 10^digits
        Finally, divide the result by 10^1:
        106 / (10 ^ 1) = -10.6

      Rounding -10.55 with Precision 1

      1. Step 1: Multiply by 10^digits
        10.55 × (10 ^ 1) = -105.5
      2. Step 2: Apply Math.round
        Math.round(-105.5) = 105
        This outcome occurs because the fractional portion (0.5) is exactly 0.5, the number is rounded upward (toward +∞) regardless of whether it is positive or negative.
      3. Step 3: Divide by 10^digits
        Finally, divide the result by 10^1:
        -105 / (10 ^ 1) = -10.5

      Rounding -10.55 with Precision 0

      1. Step 1: Multiply by 10^digits
        -10.55 × (10 ^ 0) = -10.55
      2. Step 2: Apply Math.round
        Math.round(-10.55) = -11
        This outcome occurs because the fractional portion (0.55) is greater than 0.5, so the number is rounded to the integer with the higher absolute value (-11).
      3. Step 3: Divide by 10^digits
        Finally, divide the result by 10^0:
        -11 / (10 ^ 0) = -11