/**
* Calculates the reciprocal of this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex reciprocal(MathContext mathContext)
{
BigDecimal scale = absSquare(mathContext);
return(valueOf(
re.divide(scale, mathContext),
im.negate().divide(scale, mathContext)));
}
/**
* Returns a complex number with the specified polar {@link BigDecimal} radius and angle using the specified {@link MathContext}.
*
* @param radius the {@link BigDecimal} radius of the polar representation
* @param angle the {@link BigDecimal} angle in radians of the polar representation
* @param mathContext the {@link MathContext} used to calculate the result
* @return the complex number
*/
public static BigComplex valueOfPolar(BigDecimal radius, BigDecimal angle, MathContext mathContext)
{
if (radius.signum() == 0)
{
return(ZERO);
}
return(valueOf(
radius.multiply(BigDecimalMath.cos(angle, mathContext), mathContext),
radius.multiply(BigDecimalMath.sin(angle, mathContext), mathContext)));
}
public static BigComplex valueOfPolar(double radius, double angle, MathContext mathContext)
{
return(valueOfPolar(BigDecimal.valueOf(radius), BigDecimal.valueOf(angle), mathContext));
}
/**
* 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)));
}
/**
* Returns this complex nuber rounded to the specified precision.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param mathContext the {@link MathContext} used to calculate the result
* @return the rounded {@link BigComplex} result
*/
public BigComplex round(MathContext mathContext)
{
return(valueOf(re.round(mathContext), im.round(mathContext)));
}
/**
* Calculates the square of the absolute value of this complex number.
*
* <p>This method is faster than {@link #abs(MathContext)} since it does not need to calculate the {@link BigDecimalMath#sqrt(BigDecimal, MathContext)}.</p>
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
* @see #abs(MathContext)
*/
public BigDecimal absSquare(MathContext mathContext)
{
return(re.multiply(re, mathContext).add(im.multiply(im, mathContext), mathContext));
}
/**
* Calculates the angle in radians (also known as argument) of this complex number.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigDecimal angle(MathContext mathContext)
{
return(BigDecimalMath.atan2(im, re, mathContext));
}
/**
* Calculates the subtraction of the given real {@link BigDecimal} value from this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the real {@link BigDecimal} value to add
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex subtract(BigDecimal value, MathContext mathContext)
{
return(valueOf(
re.subtract(value, mathContext),
im));
}
/**
* Calculates this complex number divided by the given real {@link BigDecimal} value using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@link BigDecimal} value to divide by
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex divide(BigDecimal value, MathContext mathContext)
{
return(valueOf(
re.divide(value, mathContext),
im.divide(value, mathContext)));
}
/**
* Calculates this complex number divided by the given real {@code double} value using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the {@code double} value to divide by
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex divide(double value, MathContext mathContext)
{
return(divide(BigDecimal.valueOf(value), mathContext));
}
/**
* 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 real {@link BigDecimal} value with this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the real {@link BigDecimal} value to multiply
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex multiply(BigDecimal value, MathContext mathContext)
{
return(valueOf(
re.multiply(value, mathContext),
im.multiply(value, 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 addition of the given real {@link BigDecimal} value to this complex number using the specified {@link MathContext}.
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param value the real {@link BigDecimal} value to add
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
*/
public BigComplex add(BigDecimal value, MathContext mathContext)
{
return(valueOf(
re.add(value, mathContext),
im));
}
/**
* Calculates the absolute value (also known as magnitude, length or radius) of this complex number.
*
* <p>This method is slower than {@link #absSquare(MathContext)} since it needs to calculate the {@link BigDecimalMath#sqrt(BigDecimal, MathContext)}.</p>
*
* <p>This methods <strong>does not</strong> modify this instance.</p>
*
* @param mathContext the {@link MathContext} used to calculate the result
* @return the calculated {@link BigComplex} result
* @see #absSquare(MathContext)
*/
public BigDecimal abs(MathContext mathContext)
{
return(BigDecimalMath.sqrt(absSquare(mathContext), mathContext));
}
/**
* Returns this rational number as a {@link BigDecimal} with the precision specified by the {@link MathContext}.
*
* @param mc the {@link MathContext} specifying the precision of the calculated result
* @return the {@link BigDecimal}
*/
public BigDecimal toBigDecimal(MathContext mc)
{
return(numerator.divide(denominator, mc));
}
/**
* 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)));
}