/**
* Returns the string representation of this rational number as integer and fraction parts in the form "integerPart fractionNominator/fractionDenominator".
*
* <p>The integer part is omitted if it is 0 (when this absolute rational number is smaller than 1).</p>
* <p>The fraction part is omitted it it is 0 (when this rational number is an integer).</p>
* <p>If this rational number is 0, then "0" is returned.</p>
*
* <p>Example: <code>BigRational.valueOf(3.5).toIntegerRationalString()</code> returns <code>"3 1/2"</code>.</p>
*
* @return the integer and fraction rational string representation
* @see #valueOf(int, int, int)
*/
public String toIntegerRationalString()
{
BigDecimal fractionNumerator = numerator.remainder(denominator);
BigDecimal integerNumerator = numerator.subtract(fractionNumerator);
BigDecimal integerPart = integerNumerator.divide(denominator);
StringBuilder result = new StringBuilder();
if (integerPart.signum() != 0)
{
result.Append(integerPart);
}
if (fractionNumerator.signum() != 0)
{
if (result.Length > 0)
{
result.Append(' ');
}
result.Append(fractionNumerator.abs());
result.Append('/');
result.Append(denominator);
}
if (result.Length == 0)
{
result.Append('0');
}
return(result.ToString());
}
public BigRational(BigDecimal num, BigDecimal denom)
{
BigDecimal n = num;
BigDecimal d = denom;
if (d.signum() == 0)
{
throw new ArithmeticException("Divide by zero");
}
if (d.signum() < 0)
{
n = n.negate();
d = d.negate();
}
numerator = n;
denominator = d;
}
/**
* 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)));
}
/**
* Returns a complex number with the specified real and imaginary {@link BigDecimal} parts.
*
* @param real the real {@link BigDecimal} part
* @param imaginary the imaginary {@link BigDecimal} part
* @return the complex number
*/
public static BigComplex valueOf(BigDecimal real, BigDecimal imaginary)
{
if (real.signum() == 0)
{
if (imaginary.signum() == 0)
{
return(ZERO);
}
if (imaginary.compareTo(BigDecimal.ONE) == 0)
{
return(I);
}
}
if (imaginary.signum() == 0 && real.compareTo(BigDecimal.ONE) == 0)
{
return(ONE);
}
return(new BigComplex(real, imaginary));
}
private static BigRational of(BigDecimal numerator, BigDecimal denominator)
{
if (numerator.signum() == 0 && denominator.signum() != 0)
{
return(ZERO);
}
if (numerator.compareTo(BigDecimal.ONE) == 0 && denominator.compareTo(BigDecimal.ONE) == 0)
{
return(ONE);
}
return(new BigRational(numerator, denominator));
}
/**
* Returns the signum function of this rational number.
*
* @return -1, 0 or 1 as the value of this rational number is negative, zero or positive.
*/
public int signum()
{
return(numerator.signum());
}
/**
* Returns whether this complex number only has a real part (the imaginary part is 0).
*
* @return {@code true} if this complex number only has a real part, {@code false} if the imaginary part is not 0
*/
public Boolean isReal()
{
return(im.signum() == 0);
}