Package com.imsl.math

Class JMath

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
    Description
    static final double
    E
     
    static final double
    PI
     

  • Method Summary

    Modifier and Type
    Method
    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 doubles.
    static float
    max(float x, float y)
    Returns the larger of two floats.
    static int
    max(int x, int y)
    Returns the larger of two ints.
    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 doubles.
    static float
    min(float x, float y)
    Returns the smaller of two floats.
    static int
    min(int x, int y)
    Returns the smaller of two ints.
    static long
    min(long x, long y)
    Returns the smaller of two longs.
    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 Details

    • PI

      public static final double PI

    • E

      public static final double E

  • Method Details

    • 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