/**
* Returns whether the real and imaginary parts of this complex number are strictly equal.
*
* <p>This method uses the strict equality as defined by {@link BigDecimal#equals(Object)} on the real and imaginary parts.</p>
* <p>Please note that {@link #equals(Object) BigComplex.equals(Object)} implements <strong>mathematical</strong> equality instead
* (by calling {@link BigDecimal#compareTo(BigDecimal) on the real and imaginary parts}).</p>
*
* @param obj the object to compare for strict equality
* @return {@code true} if the specified object is strictly equal to this complex number
* @see #equals(Object)
*/
public Boolean strictEquals(Object obj)
{
if (this == obj)
{
return(true);
}
if (obj == null)
{
return(false);
}
BigComplex other = (BigComplex)obj;
return(re.equals(other.re) && im.equals(other.im));
}
/**
* {@inheritDoc}
*
* <p>Contrary to {@link BigDecimal#equals(Object)} this method implements <strong>mathematical</strong> equality
* (by calling {@link BigDecimal#compareTo(BigDecimal)} on the real and imaginary parts)
* instead of strict equality.</p>
*
* @see #strictEquals(Object)
*/
public Boolean equals(Object obj)
{
if (this == obj)
{
return(true);
}
if (obj == null)
{
return(false);
}
BigComplex other = (BigComplex)obj;
return(re.compareTo(other.re) == 0 && im.compareTo(other.im) == 0);
}
/**
* Calculates the addition of the given complex value to this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to add
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex add(BigComplex value, MathContext mathContext)
{
return(valueOf(
re.add(value.re, mathContext),
im.add(value.im, mathContext)));
}
/**
* Calculates the addition of the given complex value to this complex number.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to add
* @return the calculated {@link BigComplex} result
*/
public BigComplex add(BigComplex value)
{
return(valueOf(
re.add(value.re),
im.add(value.im)));
}
/**
* Calculates this complex number divided by the given complex value using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to divide by
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex divide(BigComplex value, MathContext mathContext)
{
return(multiply(value.reciprocal(mathContext), mathContext));
}
/**
* Calculates the multiplication of the given complex value with this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to multiply
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex multiply(BigComplex value, MathContext mathContext)
{
return(valueOf(
re.multiply(value.re, mathContext).subtract(im.multiply(value.im, mathContext), mathContext),
re.multiply(value.im, mathContext).add(im.multiply(value.re, mathContext), mathContext)));
}
/**
* Calculates the multiplication of the given complex value to this complex number.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to multiply
* @return the calculated {@link BigComplex} result
*/
public BigComplex multiply(BigComplex value)
{
return(valueOf(
re.multiply(value.re).subtract(im.multiply(value.im)),
re.multiply(value.im).add(im.multiply(value.re))));
}
/**
* Calculates the subtraction of the given complex value from this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to subtract
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex subtract(BigComplex value, MathContext mathContext)
{
return(valueOf(
re.subtract(value.re, mathContext),
im.subtract(value.im, mathContext)));
}
/**
* Calculates the subtraction of the given complex value from this complex number.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigComplex} value to subtract
* @return the calculated {@link BigComplex} result
*/
public BigComplex subtract(BigComplex value)
{
return(valueOf(
re.subtract(value.re),
im.subtract(value.im)));
}