Proper way to compare java.math.BigDecimal

import java.math.BigDecimal;
import java.math.MathContext;

public class BigDecimalTest {

 public static void main(String[] args) {
  
  System.out.println(new BigDecimal(0).equals(BigDecimal.ZERO));
  System.out.println(new BigDecimal("0").equals(BigDecimal.ZERO));
  System.out.println(new BigDecimal(0.0d).equals(BigDecimal.ZERO));
  System.out.println(new BigDecimal(0.0f).equals(BigDecimal.ZERO));
  
  //WTF
  System.out.println(new BigDecimal("0.0").equals(BigDecimal.ZERO)); // false!!!
  System.out.println(new BigDecimal("0.0").equals(new BigDecimal("0"))); // false!!!
  System.out.println(new BigDecimal("0.0").equals(new BigDecimal(0.0))); // false!!!
  
  //same is with "1" and "1.0", and so on

  //That's not a precision problem
  MathContext mc = new MathContext(2);
  System.out.println(new BigDecimal("0.0", mc).equals(new BigDecimal(0.0, mc))); // false!!!
  
  //So, the proper way to compare two big decimals is:
  System.out.println(new BigDecimal("0.0").compareTo(BigDecimal.ZERO) == 0); 
 }

The answer lies in API docs: BigDecimal#equals.