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Retain precision with double in Java

java
precision-engineering
best-practices
rounding
Anton ShumikhinbyAnton Shumikhin·Jan 2, 2025
TLDR

For high-precision calculations in Java, use BigDecimal. To avoid initial precision loss, create BigDecimal instances from strings, not from primitives:

BigDecimal preciseResult = new BigDecimal("0.1").add(new BigDecimal("0.2")); System.out.println(preciseResult); // Outputs "0.3" without any decimal drama!

BigDecimal is ideal for applications like financial calculations where precision is non-negotiable and rounding errors are a big no-no.

When BigDecimal is your best friend

Although double in Java is faster and needs less memory than BigDecimal, it can exhibit rounding errors due to the way floating-point arithmetic operates. BigDecimal is your secret weapon for scenarios where precision is of utmost importance. These scenarios include:

  • Financial operations where even a cent matters
  • Scientific calculations calling for maximum precision
  • Situations where exactness of decimal numbers is critical

Risky business: Precision loss with double

With double, precision loss can creep in during seemingly harmless operations:

  • Simple arithmetic like addition or subtraction can yield small errors that multiply over time.
  • Multiplying a teeny-weeny decimal with a gigantic number might throw up strange results.
  • Performing division might not only result in non-terminating decimals but also precision errors.

Safeguarding your decimals with BigDecimal

When using BigDecimal, adhere to certain best practices to prevent precision loss:

  • Always initiate BigDecimal with a String or BigInteger.
  • Avoid combining double and BigDecimal operations to prevent reverting to double's infamous precision.
  • If you absolutely must initialize from a double, use BigDecimal.valueOf(double).

Harnessing BigDecimal powers

BigDecimal possesses several attributes that bolster precision control:

  • Rounding: You can pick from various rounding modes providing granular control over your results.
  • Scaling: You're able to adjust the number of decimals without giving up an inch of precision, thanks to setScale.
  • Arithmetic: Perform arithmetic operations confidently without the fear of losing your precious decimal accuracy.

Taking a stance: BigDecimal vs alternatives

If you look beyond BigDecimal, Java offers you a buffet of options: BigInteger for integer arithmetic, and floating-point types (float and double) for scientific arithmetic. See how they compare:

TypePrecisionUse Case
BigDecimalHighPerfect decimals, sensitive calculations
BigIntegerHighMonster integers
DoubleLowSwift computations, rough approximations

Practical examples

Let's get our hands dirty with some code:

Correct usage of BigDecimal:

BigDecimal a = new BigDecimal("123.456"); BigDecimal b = a.multiply(new BigDecimal("7.89")); // Makes a juicy multiplication System.out.println(b); // Brings home the bacon without any rounding nightmares

Incorrect usage of BigDecimal (loses initial precision):

BigDecimal a = new BigDecimal(123.456); // Wrong: Initialized with double, tsk tsk! BigDecimal b = a.multiply(new BigDecimal("7.89")); System.out.println(b); // May output a weird result brought to you by rounding errors

Deep-dive into BigDecimal rounding

You even get to control the rounding behavior:

BigDecimal value = new BigDecimal("123.456789"); value = value.setScale(4, RoundingMode.HALF_UP); // Make it round and shiny. System.out.println(value); // Outputs "123.4568" dancing lightly on the rounding tightrope!