java.lang.Object
- uk.ac.starlink.ttools.func.Maths

```
public class Maths
extends java.lang.Object
```
Standard mathematical and trigonometric functions. Trigonometric functions work with angles in radians.

Since:

2 Sep 2004

Author:

Mark Taylor (Starlink)

Field Summary

Fields
Modifier and Type	Field	Description
`static double`	`E`	Euler's number e, the base of natural logarithms.
`static double`	`Infinity`	Positive infinite floating point value.
`static double`	`NaN`	Not-a-Number floating point value.
`static double`	`PI`	Pi, the ratio of the circumference of a circle to its diameter.
`static double`	`RANDOM`	Evaluates to a random number in the range 0<=x<1.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static double`	`acos(double x)`	Arc cosine of an angle.
`static double`	`acosh(double x)`	Inverse hyperbolic cosine.
`static double`	`asin(double x)`	Arc sine of an angle.
`static double`	`asinh(double x)`	Inverse hyperbolic sine.
`static double`	`atan(double x)`	Arc tangent of an angle.
`static double`	`atan2(double y, double x)`	Converts rectangular coordinates (`x`,`y`) to polar (`r`,`theta`).
`static double`	`atanh(double x)`	Inverse hyperbolic tangent.
`static double`	`cos(double theta)`	Cosine of an angle.
`static double`	`cosh(double x)`	Hyperbolic cosine.
`static double`	`exp(double x)`	Euler's number e raised to a power.
`static double`	`exp10(double x)`	Power of 10.
`static double`	`hypot(double... xs)`	Returns the square root of the sum of squares of its arguments.
`static double`	`ln(double x)`	Natural logarithm.
`static double`	`log10(double x)`	Logarithm to base 10.
`static double`	`pow(double a, double b)`	Exponentiation.
`static double`	`sin(double theta)`	Sine of an angle.
`static double`	`sinh(double x)`	Hyperbolic sine.
`static double`	`sqrt(double x)`	Square root.
`static double`	`square(double x)`	Raise to the power 2.
`static double`	`tan(double theta)`	Tangent of an angle.
`static double`	`tanh(double x)`	Hyperbolic tangent.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - E
```
public static final double E
```
    Euler's number e, the base of natural logarithms.
    
    See Also:
    
    Constant Field Values
  - PI
```
public static final double PI
```
    Pi, the ratio of the circumference of a circle to its diameter.
    
    See Also:
    
    Constant Field Values
  - Infinity
```
public static final double Infinity
```
    Positive infinite floating point value.
    
    See Also:
    
    Constant Field Values
  - NaN
```
public static final double NaN
```
    Not-a-Number floating point value. Use with care; arithmetic and logical operations behave in strange ways near NaN (for instance, NaN!=NaN). For most purposes this is equivalent to the blank value.
    
    See Also:
    
    Constant Field Values
  - RANDOM
```
public static final double RANDOM
```
    Evaluates to a random number in the range 0<=x<1. This is different for each cell of the table. The quality of the randomness may not be particularly good.
    
    See Also:
    
    Constant Field Values
- Method Detail
  - sin
```
public static double sin(double theta)
```
    Sine of an angle.
    
    Parameters:
    
    theta - an angle, in radians.
    
    Returns:
    
    the sine of the argument.
  - cos
```
public static double cos(double theta)
```
    Cosine of an angle.
    
    Parameters:
    
    theta - an angle, in radians.
    
    Returns:
    
    the cosine of the argument.
  - tan
```
public static double tan(double theta)
```
    Tangent of an angle.
    
    Parameters:
    
    theta - an angle, in radians.
    
    Returns:
    
    the tangent of the argument.
  - asin
```
public static double asin(double x)
```
    Arc sine of an angle. The result is in the range of -pi/2 through pi/2.
    
    Parameters:
    
    x - the value whose arc sine is to be returned.
    
    Returns:
    
    the arc sine of the argument (radians)
  - acos
```
public static double acos(double x)
```
    Arc cosine of an angle. The result is in the range of 0.0 through pi.
    
    Parameters:
    
    x - the value whose arc cosine is to be returned.
    
    Returns:
    
    the arc cosine of the argument (radians)
  - atan
```
public static double atan(double x)
```
    Arc tangent of an angle. The result is in the range of -pi/2 through pi/2.
    
    Parameters:
    
    x - the value whose arc tangent is to be returned.
    
    Returns:
    
    the arc tangent of the argument (radians)
  - ln
```
public static double ln(double x)
```
    Natural logarithm.
    
    Parameters:
    
    x - argument
    
    Returns:
    
    log_e(x)
  - exp
```
public static double exp(double x)
```
    Euler's number e raised to a power.
    
    Parameters:
    
    x - the exponent to raise e to.
    
    Returns:
    
    the value e^x, where e is the base of the natural logarithms.
  - log10
```
public static double log10(double x)
```
    Logarithm to base 10.
    
    Parameters:
    
    x - argument
    
    Returns:
    
    log₁₀(x)
  - exp10
```
public static double exp10(double x)
```
    Power of 10. This convenience function is identical to pow(10,x).
    
    Parameters:
    
    x - argument
    
    Returns:
    
    10^x
  - sqrt
```
public static double sqrt(double x)
```
    Square root. The result is correctly rounded and positive.
    
    Parameters:
    
    x - a value.
    
    Returns:
    
    the positive square root of x. If the argument is NaN or less than zero, the result is NaN.
  - square
```
public static double square(double x)
```
    Raise to the power 2.
    
    Parameters:
    
    x - a value
    
    Returns:
    
    x * x
  - hypot
```
public static double hypot(double... xs)
```
    Returns the square root of the sum of squares of its arguments. In the 2-argument case, doing it like this may avoid intermediate overflow or underflow.
    
    Parameters:
    
    xs - one or more numeric values
    
    Returns:
    
    sqare root of sum of squares of arguments
    
    Examples:
    
    hypot(3,4) = 5, hypot(2,2,2,2) = 4
  - atan2
```
public static double atan2(double y,
                           double x)
```
    Converts rectangular coordinates (x,y) to polar (r,theta). This method computes the phase theta by computing an arc tangent of y/x in the range of -pi to pi.
    
    Parameters:
    
    y - the ordinate coordinate
    
    x - the abscissa coordinate
    
    Returns:
    
    the theta component (radians) of the point (r,theta) in polar coordinates that corresponds to the point (x,y) in Cartesian coordinates.
  - pow
```
public static double pow(double a,
                         double b)
```
    Exponentiation. The result is the value of the first argument raised to the power of the second argument.
    
    Parameters:
    
    a - the base.
    
    b - the exponent.
    
    Returns:
    
    the value a^b.
  - sinh
```
public static double sinh(double x)
```
    Hyperbolic sine.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result
  - cosh
```
public static double cosh(double x)
```
    Hyperbolic cosine.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result
  - tanh
```
public static double tanh(double x)
```
    Hyperbolic tangent.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result
  - asinh
```
public static double asinh(double x)
```
    Inverse hyperbolic sine.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result
  - acosh
```
public static double acosh(double x)
```
    Inverse hyperbolic cosine.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result
  - atanh
```
public static double atanh(double x)
```
    Inverse hyperbolic tangent.
    
    Parameters:
    
    x - parameter
    
    Returns:
    
    result

Class Maths

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

E

PI

Infinity

NaN

RANDOM

Method Detail

sin

cos

tan

asin

acos

atan

ln

exp

log10

exp10

sqrt

square

hypot

atan2

pow

sinh

cosh

tanh

asinh

acosh

atanh