Conversion Sandbox
Select a conversion method to see how it affects the matrix values in real-time.

Original Double Matrix
Converted Integer Matrix
Core Concepts Explained
Dive deeper into the key principles of data type conversion and precision handling.
The fundamental difference between truncation and rounding lies in how they handle the fractional part of a number. This chart visualizes the distinct outcomes for both positive and negative values.
What is Precision Loss?
Precision loss is the unavoidable consequence of converting a data type that can hold more information (like a double with its fractional part) into one that holds less (like an integer). When you convert from a double to an integer, the entire fractional part is discarded. This is not an error; it's the defined behavior of the conversion.
Why It Matters
- Financial Calculations: Dropping cents from monetary values can lead to significant discrepancies over many transactions.
- Scientific Data: Losing fractional data from measurements can invalidate experimental results.
- Algorithmic Integrity: Algorithms that rely on subtle differences between values may behave unpredictably after precision loss.
Managing Precision Loss
The key is not to prevent precision loss (which is impossible) but to control it. The method you choose—truncation, rounding, floor, or ceiling—is your way of explicitly defining how the fractional data should be handled before it's discarded, ensuring the resulting integer aligns with your specific requirements.
Truncation (Casting)
Simply cuts off the decimal part, regardless of its value. It always moves the number towards zero.
3.9 → 3 | -3.9 → -3
Rounding
Rounds to the nearest integer. Numbers with a fractional part of 0.5 or greater are rounded away from zero.
3.5 → 4 | -3.5 → -4
Floor
Rounds down to the nearest integer that is less than or equal to the original number. Also known as rounding towards negative infinity.
3.9 → 3 | -3.1 → -4
Ceiling (Ceil)
Rounds up to the nearest integer that is greater than or equal to the original number. Also known as rounding towards positive infinity.
3.1 → 4 | -3.9 → -3