package jsci.maths;
import java.lang.Comparable;
import java.lang.Double;
import jsci.GlobalSettings;
import jsci.maths.fields.*;
import jsci.maths.groups.AbelianGroup;
/**
* The MathDouble class encapsulates double numbers.
* Methods will automatically promote objects from subsets.
* @see jsci.maths.fields.RealField
* @version 1.1
* @author Mark Hale
*/
public final class MathDouble extends Number implements Comparable, Field.Member {
private static final long serialVersionUID = 8616680319093653108L;
private final double x;
/**
* Constructs a double number.
*/
public MathDouble(final double num) {
x=num;
}
/**
* Constructs the double number represented by a string.
* @param s a string representing a double number.
* @exception NumberFormatException if the string does not contain a parsable number.
*/
public MathDouble(final String s) throws NumberFormatException {
x=Double.parseDouble(s);
}
/**
* Compares two numbers for equality.
* @param obj a number.
*/
public boolean equals(Object obj) {
return equals(obj, GlobalSettings.ZERO_TOL);
}
public boolean equals(Object obj, double tol) {
if(obj instanceof Number) {
return Math.abs(x-((Number)obj).doubleValue()) <= tol;
} else
return false;
}
public int hashCode() {
return (int) x;
}
/**
* Compares two numbers.
* @param obj a number.
* @return a negative value if this<obj,
* zero if this==obj,
* and a positive value if this>obj.
*/
public int compareTo(Object obj) throws IllegalArgumentException {
if(obj!=null && (obj instanceof Number)) {
double objValue = ((Number)obj).doubleValue();
if(Math.abs(x-objValue) <= GlobalSettings.ZERO_TOL) {
return 0;
} else {
return (x < objValue ? -1 : 1);
}
} else
throw new IllegalArgumentException("Invalid object: "+obj.getClass());
}
/**
* Returns a string representing the value of this double number.
*/
public String toString() {
return Double.toString(x);
}
/**
* Returns the double value.
*/
public double value() {
return x;
}
public int intValue() {
return (int) x;
}
public long longValue() {
return (long) x;
}
public float floatValue() {
return (float) x;
}
public double doubleValue() {
return x;
}
/**
* Returns true if the number is within the zero tolerance.
*/
public static boolean isZero(double x) {
return (Math.abs(x) <= GlobalSettings.ZERO_TOL);
}
/**
* Returns true if this number is NaN.
*/
public boolean isNaN() {
return (x==Double.NaN);
}
/**
* Returns true if this number is infinite.
*/
public boolean isInfinite() {
return (x==Double.POSITIVE_INFINITY) || (x==Double.NEGATIVE_INFINITY);
}
public Object getSet() {
return RealField.getInstance();
}
/**
* Returns the negative of this number.
*/
public AbelianGroup.Member negate() {
return new MathDouble(-x);
}
/**
* Returns the inverse of this number.
*/
public Field.Member inverse() {
return new MathDouble(1.0/x);
}
/**
* Returns the addition of this number and another.
*/
public AbelianGroup.Member add(final AbelianGroup.Member n) {
if(n instanceof Number)
return add(((Number)n).doubleValue());
else
throw new IllegalArgumentException("Member class not recognised by this method: "+n.getClass());
}
/**
* Returns the addition of this double number and another.
*/
public MathDouble add(final MathDouble n) {
return add(n.x);
}
public MathDouble add(double y) {
return new MathDouble(x+y);
}
/**
* Returns the subtraction of this number and another.
*/
public AbelianGroup.Member subtract(final AbelianGroup.Member n) {
if(n instanceof Number)
return subtract(((Number)n).doubleValue());
else
throw new IllegalArgumentException("Member class not recognised by this method: "+n.getClass());
}
/**
* Returns the subtraction of this double number and another.
*/
public MathDouble subtract(final MathDouble n) {
return subtract(n.x);
}
public MathDouble subtract(double y) {
return new MathDouble(x-y);
}
/**
* Returns the multiplication of this number and another.
*/
public Ring.Member multiply(final Ring.Member n) {
if(n instanceof Number)
return multiply(((Number)n).doubleValue());
else
throw new IllegalArgumentException("Member class not recognised by this method: "+n.getClass());
}
/**
* Returns the multiplication of this double number and another.
*/
public MathDouble multiply(final MathDouble n) {
return multiply(n.x);
}
public MathDouble multiply(double y) {
return new MathDouble(x*y);
}
/**
* Returns the division of this number and another.
*/
public Field.Member divide(final Field.Member n) {
if(n instanceof Number)
return divide(((Number)n).doubleValue());
else
throw new IllegalArgumentException("Member class not recognised by this method: "+n.getClass());
}
/**
* Returns the division of this double number and another.
*/
public MathDouble divide(final MathDouble n) {
return divide(n.x);
}
public MathDouble divide(double y) {
return new MathDouble(x/y);
}
//===========
// FUNCTIONS
//===========
// EXP
/**
* Returns the exponential number e(2.718...) raised to the power of a number.
*/
public static MathDouble exp(final MathDouble x) {
return exp(x.x);
}
public static MathDouble exp(Number x) {
return exp(x.doubleValue());
}
public static MathDouble exp(double x) {
return new MathDouble(Math.exp(x));
}
// LOG
/**
* Returns the natural logarithm (base e) of a number.
*/
public static MathDouble log(final MathDouble x) {
return log(x.x);
}
public static MathDouble log(Number x) {
return log(x.doubleValue());
}
public static MathDouble log(double x) {
return new MathDouble(Math.log(x));
}
// SIN
/**
* Returns the trigonometric sine of an angle.
* @param x an angle that is measured in radians
*/
public static MathDouble sin(final MathDouble x) {
return sin(x.x);
}
public static MathDouble sin(Number x) {
return sin(x.doubleValue());
}
public static MathDouble sin(double x) {
return new MathDouble(Math.sin(x));
}
// COS
/**
* Returns the trigonometric cosine of an angle.
* @param x an angle that is measured in radians
*/
public static MathDouble cos(final MathDouble x) {
return cos(x.x);
}
public static MathDouble cos(Number x) {
return cos(x.doubleValue());
}
public static MathDouble cos(double x) {
return new MathDouble(Math.cos(x));
}
// TAN
/**
* Returns the trigonometric tangent of an angle.
* @param x an angle that is measured in radians
*/
public static MathDouble tan(final MathDouble x) {
return tan(x.x);
}
public static MathDouble tan(Number x) {
return tan(x.doubleValue());
}
public static MathDouble tan(double x) {
return new MathDouble(Math.tan(x));
}
// SINH
/**
* Returns the hyperbolic sine of a number.
*/
public static MathDouble sinh(final MathDouble x) {
return sinh(x.x);
}
public static MathDouble sinh(Number x) {
return sinh(x.doubleValue());
}
public static MathDouble sinh(double x) {
return new MathDouble(ExtraMath.sinh(x));
}
// COSH
/**
* Returns the hyperbolic cosine of a number.
*/
public static MathDouble cosh(final MathDouble x) {
return cosh(x.x);
}
public static MathDouble cosh(Number x) {
return cosh(x.doubleValue());
}
public static MathDouble cosh(double x) {
return new MathDouble(ExtraMath.cosh(x));
}
// TANH
/**
* Returns the hyperbolic tangent of a number.
*/
public static MathDouble tanh(final MathDouble x) {
return tanh(x.x);
}
public static MathDouble tanh(Number x) {
return tanh(x.doubleValue());
}
public static MathDouble tanh(double x) {
return new MathDouble(ExtraMath.tanh(x));
}
// INVERSE SIN
/**
* Returns the arc sine of a number.
*/
public static MathDouble asin(final MathDouble x) {
return asin(x.x);
}
public static MathDouble asin(Number x) {
return asin(x.doubleValue());
}
public static MathDouble asin(double x) {
return new MathDouble(Math.asin(x));
}
// INVERSE COS
/**
* Returns the arc cosine of a number.
*/
public static MathDouble acos(final MathDouble x) {
return acos(x.x);
}
public static MathDouble acos(Number x) {
return acos(x.doubleValue());
}
public static MathDouble acos(double x) {
return new MathDouble(Math.acos(x));
}
// INVERSE TAN
/**
* Returns the arc tangent of a number.
*/
public static MathDouble atan(final MathDouble x) {
return atan(x.x);
}
public static MathDouble atan(Number x) {
return atan(x.doubleValue());
}
public static MathDouble atan(double x) {
return new MathDouble(Math.atan(x));
}
// INVERSE SINH
/**
* Returns the arc hyperbolic sine of a number.
*/
public static MathDouble asinh(final MathDouble x) {
return asinh(x.x);
}
public static MathDouble asinh(Number x) {
return asinh(x.doubleValue());
}
public static MathDouble asinh(double x) {
return new MathDouble(ExtraMath.asinh(x));
}
// INVERSE COSH
/**
* Returns the arc hyperbolic cosine of a number.
*/
public static MathDouble acosh(final MathDouble x) {
return acosh(x.x);
}
public static MathDouble acosh(Number x) {
return acosh(x.doubleValue());
}
public static MathDouble acosh(double x) {
return new MathDouble(ExtraMath.acosh(x));
}
// INVERSE TANH
/**
* Returns the arc hyperbolic tangent of a number.
*/
public static MathDouble atanh(final MathDouble x) {
return atanh(x.x);
}
public static MathDouble atanh(Number x) {
return atanh(x.doubleValue());
}
public static MathDouble atanh(double x) {
return new MathDouble(ExtraMath.atanh(x));
}
}
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