JMath (JMSL Numerical Library (jmsl) 2021.0.0 API)

java.lang.Object
- com.imsl.math.JMath

```
public final class JMath
extends Object
```
Pure Java implementation of the standard java.lang.Math class. This Java code is based on C code in the package fdlibm, which can be obtained from www.netlib.org.

Field Summary

Fields
Modifier and Type Field and Description

static double E

static double PI

Fields
Modifier and Type	Field and Description
`static double`	`E`
`static double`	`PI`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`abs(double x)` Returns the absolute value of a `double`.
`static float`	`abs(float x)` Returns the absolute value of a `float`.
`static int`	`abs(int x)` Returns the absolute value of an `int`.
`static long`	`abs(long x)` Returns the absolute value of a `long`.
`static double`	`acos(double x)` Returns the inverse (arc) cosine of a `double`.
`static double`	`asin(double x)` Returns the inverse (arc) sine of a `double`.
`static double`	`atan(double x)` Returns the inverse (arc) tangent of a `double`.
`static double`	`atan2(double y, double x)` Returns the angle corresponding to a Cartesian point.
`static double`	`ceil(double x)` Returns the value of a `double` rounded toward positive infinity to an integral value.
`static double`	`cos(double x)` Returns the cosine of a `double`.
`static double`	`exp(double x)` Returns the exponential of a `double`.
`static double`	`floor(double x)` Returns the value of a `double` rounded toward negative infinity to an integral value.
`static double`	`IEEEremainder(double x, double p)` Returns the IEEE remainder from x divided by p.
`static double`	`log(double x)` Returns the natural logarithm of a `double`.
`static double`	`max(double x, double y)` Returns the larger of two `double`s.
`static float`	`max(float x, float y)` Returns the larger of two `float`s.
`static int`	`max(int x, int y)` Returns the larger of two `int`s.
`static long`	`max(long x, long y)` Returns the larger of two `longs`.
`static double`	`min(double x, double y)` Returns the smaller of two `double`s.
`static float`	`min(float x, float y)` Returns the smaller of two `float`s.
`static int`	`min(int x, int y)` Returns the smaller of two `int`s.
`static long`	`min(long x, long y)` Returns the smaller of two `long`s.
`static double`	`pow(double x, double y)` Returns x to the power y.
`static double`	`random()` Returns a random number from a uniform distribution.
`static double`	`rint(double x)` Returns the value of a `double` rounded toward the closest integral value.
`static long`	`round(double x)` Returns the `long` closest to a given `double`.
`static int`	`round(float x)` Returns the integer closest to a given `float`.
`static double`	`sin(double x)` Returns the sine of a `double`.
`static double`	`sqrt(double x)` Returns the square root of a `double`.
`static double`	`tan(double x)` Returns the tangent of a `double`.

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

- Field Detail
  - PI
```
public static final double PI
```
  - E
```
public static final double E
```
- Method Detail
  - abs
```
public static int abs(int x)
```
    Returns the absolute value of an int.
    
    Parameters:
    
    x - an int
    
    Returns:
    
    an int representing \(|x|\).
  - abs
```
public static long abs(long x)
```
    Returns the absolute value of a long.
    
    Parameters:
    
    x - a long
    
    Returns:
    
    a long representing \(|x|\).
  - abs
```
public static float abs(float x)
```
    Returns the absolute value of a float.
    
    Parameters:
    
    x - a float
    
    Returns:
    
    a float representing \(|x|\).
  - abs
```
public static double abs(double x)
```
    Returns the absolute value of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing \(|x|\).
  - min
```
public static int min(int x,
                      int y)
```
    Returns the smaller of two ints.
    
    Parameters:
    
    x - an int
    
    y - an int
    
    Returns:
    
    an int representing the smaller of x and y
  - min
```
public static long min(long x,
                       long y)
```
    Returns the smaller of two longs.
    
    Parameters:
    
    x - a long
    
    y - a long
    
    Returns:
    
    a long, the smaller of x and y
  - min
```
public static float min(float x,
                        float y)
```
    Returns the smaller of two floats.
    
    Parameters:
    
    x - a float
    
    y - a float
    
    Returns:
    
    a float, the smaller of x and y. This function considers -0.0f to be less than 0.0f.
  - min
```
public static double min(double x,
                         double y)
```
    Returns the smaller of two doubles.
    
    Parameters:
    
    x - a double
    
    y - a double
    
    Returns:
    
    a double, the smaller of x and y. This function considers -0.0 to be less than 0.0.
  - max
```
public static int max(int x,
                      int y)
```
    Returns the larger of two ints.
    
    Parameters:
    
    x - an int
    
    y - an int
    
    Returns:
    
    an int, the larger of x and y
  - max
```
public static long max(long x,
                       long y)
```
    Returns the larger of two longs.
    
    Parameters:
    
    x - a long
    
    y - a long
    
    Returns:
    
    a long, the larger of x and y
  - max
```
public static float max(float x,
                        float y)
```
    Returns the larger of two floats.
    
    Parameters:
    
    x - a float
    
    y - a float
    
    Returns:
    
    a float, the larger of x and y. This function considers -0.0f to be less than 0.0f.
  - max
```
public static double max(double x,
                         double y)
```
    Returns the larger of two doubles.
    
    Parameters:
    
    x - a double
    
    y - a double
    
    Returns:
    
    a double, the larger of x and y. This function considers -0.0 to be less than 0.0.
  - round
```
public static int round(float x)
```
    Returns the integer closest to a given float.
    
    Parameters:
    
    x - a float
    
    Returns:
    
    the int closest to x
  - round
```
public static long round(double x)
```
    Returns the long closest to a given double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    the long closest to x
  - random
```
public static double random()
```
    Returns a random number from a uniform distribution.
    
    Returns:
    
    a double representing a random number from a uniform distribution
  - ceil
```
public static double ceil(double x)
```
    Returns the value of a double rounded toward positive infinity to an integral value.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    the smallest double, not less than x, that is an integral value
  - floor
```
public static double floor(double x)
```
    Returns the value of a double rounded toward negative infinity to an integral value.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    the smallest double, not greater than x, that is an integral value
  - rint
```
public static double rint(double x)
```
    Returns the value of a double rounded toward the closest integral value.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    the double closest to x that is an integral value
  - IEEEremainder
```
public static double IEEEremainder(double x,
                                   double p)
```
    Returns the IEEE remainder from x divided by p. The IEEE remainder is \(x \% p = x - [x / p] \times p\) as if in infinite precise arithmetic, where [x/p] is the (infinite bit) integer nearest x/p (in half way case choose the even one).
    
    Parameters:
    
    x - a double, the dividend
    
    p - a double, the divisor
    
    Returns:
    
    a double representing the remainder computed according to the IEEE 754 standard.
  - sqrt
```
public static double sqrt(double x)
```
    Returns the square root of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing the square root of x
  - exp
```
public static double exp(double x)
```
    Returns the exponential of a double. Special cases: \(e^{\infty}\) is \(\infty\), \(e^{\rm {NaN}}\) is NaN; \(e^{-\infty}\) is 0, and for finite argument, only \(e^0 = 1\) is exact.
    
    Parameters:
    
    x - a double.
    
    Returns:
    
    a double representing \(e^x\).
  - log
```
public static double log(double x)
```
    Returns the natural logarithm of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing the natural (base e) logarithm of x
  - sin
```
public static double sin(double x)
```
    Returns the sine of a double.
    
    Parameters:
    
    x - a double, assumed to be in radians
    
    Returns:
    
    a double, the sine of x
  - cos
```
public static double cos(double x)
```
    Returns the cosine of a double.
    
    Parameters:
    
    x - a double, assumed to be in radians
    
    Returns:
    
    a double, the cosine of x
  - tan
```
public static double tan(double x)
```
    Returns the tangent of a double.
    
    Parameters:
    
    x - a double, assumed to be in radians
    
    Returns:
    
    a double, the tangent of x
  - asin
```
public static double asin(double x)
```
    Returns the inverse (arc) sine of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing the angle, in radians, whose sine is x. It is in the range \([-\pi / 2, \pi / 2]\).
  - acos
```
public static double acos(double x)
```
    Returns the inverse (arc) cosine of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing the angle, in radians, whose cosine is x. It is in the range \([0, \pi]\).
  - atan
```
public static double atan(double x)
```
    Returns the inverse (arc) tangent of a double.
    
    Parameters:
    
    x - a double
    
    Returns:
    
    a double representing the angle, in radians, whose tangent is x. It is in the range \([-\pi / 2, \pi / 2]\).
  - atan2
```
public static double atan2(double y,
                           double x)
```
    Returns the angle corresponding to a Cartesian point.
    
    Parameters:
    
    x - a double, the first argument
    
    y - a double, the second argument
    
    Returns:
    
    a double representing the angle, in radians, the the line from (0,0) to (x,y) makes with the x-axis. It is in the range \([-\pi, \pi]\).
  - pow
```
public static double pow(double x,
                         double y)
```
    Returns x to the power y.
    
    Parameters:
    
    x - a double, the base
    
    y - a double, the exponent
    
    Returns:
    
    a double, x to the power y

Class JMath

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

PI

E

Method Detail

abs

abs

abs

abs

min

min

min

min

max

max

max

max

round

round

random

ceil

floor

rint

IEEEremainder

sqrt

exp

log

sin

cos

tan

asin

acos

atan

atan2

pow