Overview
The class Math
contains methods for performing basic
numeric operations such as the elementary exponential, logarithm,
square root, and trigonometric functions.
Profile: common
Script Variable Summary
access  name  type  Can Read  Can Init  Can Write  Default Value  description 

public  E  Double 
The 

public  PI  Double 
The 
Inherited Variables
Script Function Summary
 public abs(a: Integer) : Integer

Returns the absolute value of an
int
value.Returns the absolute value of an
int
value. If the argument is not negative, the argument is returned. If the argument is negative, the negation of the argument is returned.Note that if the argument is equal to the value of
Integer.MIN_VALUE
, the most negative representableint
value, the result is that same value, which is negative.See Also:
java.lang.Integer#MIN_VALUE
Parameters
 a
 the argument whose absolute value is to be determined

Returns
 Integer
 the absolute value of the argument.
Profile: common
 public abs(a: Long) : Long

Returns the absolute value of a
long
value.Returns the absolute value of a
long
value. If the argument is not negative, the argument is returned. If the argument is negative, the negation of the argument is returned.Note that if the argument is equal to the value of
Long.MIN_VALUE
, the most negative representablelong
value, the result is that same value, which is negative.See Also:
java.lang.Long#MIN_VALUE
Parameters
 a
 the argument whose absolute value is to be determined

Returns
 Long
 the absolute value of the argument.
Profile: common
 public abs(a: Number) : Number

Returns the absolute value of a
float
value.Returns the absolute value of a
float
value. If the argument is not negative, the argument is returned. If the argument is negative, the negation of the argument is returned. Special cases: If the argument is positive zero or negative zero, the result is positive zero.
 If the argument is infinite, the result is positive infinity.
 If the argument is NaN, the result is NaN.
Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))

Parameters
 a
 the argument whose absolute value is to be determined

Returns
 Number
 the absolute value of the argument.
Profile: common
 public abs(a: Double) : Double

Returns the absolute value of a
double
value.Returns the absolute value of a
double
value. If the argument is not negative, the argument is returned. If the argument is negative, the negation of the argument is returned. Special cases: If the argument is positive zero or negative zero, the result is positive zero.
 If the argument is infinite, the result is positive infinity.
 If the argument is NaN, the result is NaN.
Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)

Parameters
 a
 the argument whose absolute value is to be determined

Returns
 Double
 the absolute value of the argument.
Profile: common
 public acos(a: Double) : Double

Returns the arc cosine of a value; the returned angle is in the range 0.0 through pi.
Returns the arc cosine of a value; the returned angle is in the range 0.0 through pi. Special case:
 If the argument is NaN or its absolute value is greater than 1, then the result is NaN.

Parameters
 a
 the value whose arc cosine is to be returned.

Returns
 Double
 the arc cosine of the argument.
Profile: common
 public asin(a: Double) : Double

Returns the arc sine of a value; the returned angle is in the range pi/2 through pi/2.
Returns the arc sine of a value; the returned angle is in the range pi/2 through pi/2. Special cases:
 If the argument is NaN or its absolute value is greater than 1, then the result is NaN.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 a
 the value whose arc sine is to be returned.

Returns
 Double
 the arc sine of the argument.
Profile: common
 public atan(a: Double) : Double

Returns the arc tangent of a value; the returned angle is in the range pi/2 through pi/2.
Returns the arc tangent of a value; the returned angle is in the range pi/2 through pi/2. Special cases:
 If the argument is NaN, then the result is NaN.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 a
 the value whose arc tangent is to be returned.

Returns
 Double
 the arc tangent of the argument.
Profile: common
 public atan2(x: Double, y: Double) : Double

Returns the angle theta from the conversion of rectangular coordinates (
x
,y
) to polar coordinates (r, theta).Returns the angle theta from the conversion of rectangular coordinates (
x
,y
) to polar coordinates (r, theta). This method computes the phase theta by computing an arc tangent ofy/x
in the range of pi to pi. Special cases: If either argument is NaN, then the result is NaN.
 If the first argument is positive zero and the second argument is positive, or the first argument is positive and finite and the second argument is positive infinity, then the result is positive zero.
 If the first argument is negative zero and the second argument is positive, or the first argument is negative and finite and the second argument is positive infinity, then the result is negative zero.
 If the first argument is positive zero and the second argument
is negative, or the first argument is positive and finite and the
second argument is negative infinity, then the result is the
double
value closest to pi.  If the first argument is negative zero and the second argument
is negative, or the first argument is negative and finite and the
second argument is negative infinity, then the result is the
double
value closest to pi.  If the first argument is positive and the second argument is
positive zero or negative zero, or the first argument is positive
infinity and the second argument is finite, then the result is the
double
value closest to pi/2.  If the first argument is negative and the second argument is
positive zero or negative zero, or the first argument is negative
infinity and the second argument is finite, then the result is the
double
value closest to pi/2.  If both arguments are positive infinity, then the result is the
double
value closest to pi/4.  If the first argument is positive infinity and the second argument
is negative infinity, then the result is the
double
value closest to 3*pi/4.  If the first argument is negative infinity and the second argument
is positive infinity, then the result is the
double
value closest to pi/4.  If both arguments are negative infinity, then the result is the
double
value closest to 3*pi/4.

Parameters
 x
 the ordinate coordinate
 y
 the abscissa coordinate

Returns
 Double
 the <i>theta</i> component of the point (<i>r</i>, <i>theta</i>) in polar coordinates that corresponds to the point (<i>x</i>, <i>y</i>) in Cartesian coordinates.
Profile: common
 public cbrt(a: Double) : Double

Returns the cube root of a
double
value.Returns the cube root of a
double
value. For positive finitex
,cbrt(x) == cbrt(x)
; that is, the cube root of a negative value is the negative of the cube root of that value's magnitude. Special cases: If the argument is NaN, then the result is NaN.
 If the argument is infinite, then the result is an infinity with the same sign as the argument.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 a
 a value.

Returns
 Double
 the cube root of <code>a</code>.
Profile: common
 public ceil(a: Double) : Double

Returns the smallest (closest to negative infinity)
double
value that is greater than or equal to the argument and is equal to a mathematical integer.Returns the smallest (closest to negative infinity)
double
value that is greater than or equal to the argument and is equal to a mathematical integer. Special cases: If the argument value is already equal to a mathematical integer, then the result is the same as the argument.
 If the argument is NaN or an infinity or positive zero or negative zero, then the result is the same as the argument.
 If the argument value is less than zero but greater than 1.0, then the result is negative zero.
Math.ceil(x)
is exactly the value ofMath.floor(x)
.
Parameters
 a
 a value.

Returns
 Double
 the smallest (closest to negative infinity) floatingpoint value that is greater than or equal to the argument and is equal to a mathematical integer.
Profile: common
 public cos(a: Double) : Double
 public cosh(x: Double) : Double

Returns the hyperbolic cosine of a
double
value.Returns the hyperbolic cosine of a
double
value. The hyperbolic cosine of x is defined to be (e^{x} + e^{x})/2 where e is Math#E Euler's number.Special cases:
 If the argument is NaN, then the result is NaN.
 If the argument is infinite, then the result is positive infinity.
 If the argument is zero, then the result is
1.0
.

Parameters
 x
 The number whose hyperbolic cosine is to be returned.

Returns
 Double
 The hyperbolic cosine of <code>x</code>.
Profile: common
 public exp(a: Double) : Double

Returns Euler's number e raised to the power of a
double
value.Returns Euler's number e raised to the power of a
double
value. Special cases: If the argument is NaN, the result is NaN.
 If the argument is positive infinity, then the result is positive infinity.
 If the argument is negative infinity, then the result is positive zero.

Parameters
 a
 the exponent to raise <i>e</i> to.

Returns
 Double
 the value <i>e</i><sup><code>a</code></sup>, where <i>e</i> is the base of the natural logarithms.
Profile: common
 public floor(a: Double) : Double

Returns the largest (closest to positive infinity)
double
value that is less than or equal to the argument and is equal to a mathematical integer.Returns the largest (closest to positive infinity)
double
value that is less than or equal to the argument and is equal to a mathematical integer. Special cases: If the argument value is already equal to a mathematical integer, then the result is the same as the argument.
 If the argument is NaN or an infinity or positive zero or negative zero, then the result is the same as the argument.

Parameters
 a
 a value.

Returns
 Double
 the largest (closest to positive infinity) floatingpoint value that less than or equal to the argument and is equal to a mathematical integer.
Profile: common
 public log(a: Double) : Double

Returns the natural logarithm (base e) of a
double
value.Returns the natural logarithm (base e) of a
double
value. Special cases: If the argument is NaN or less than zero, then the result is NaN.
 If the argument is positive infinity, then the result is positive infinity.
 If the argument is positive zero or negative zero, then the result is negative infinity.

Parameters
 a
 a value

Returns
 Double
 the value ln <code>a</code>, the natural logarithm of <code>a</code>.
Profile: common
 public log10(a: Double) : Double

Returns the base 10 logarithm of a
double
value.Returns the base 10 logarithm of a
double
value. Special cases: If the argument is NaN or less than zero, then the result is NaN.
 If the argument is positive infinity, then the result is positive infinity.
 If the argument is positive zero or negative zero, then the result is negative infinity.
 If the argument is equal to 10^{n} for integer n, then the result is n.

Parameters
 a
 a value

Returns
 Double
 the base 10 logarithm of <code>a</code>.
Profile: common
 public max(a: Integer, b: Integer) : Integer

Returns the greater of two
int
values.Returns the greater of two
int
values. That is, the result is the argument closer to the value ofInteger.MAX_VALUE
. If the arguments have the same value, the result is that same value.See Also:
java.lang.Long#MAX_VALUE
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Integer
 the larger of <code>a</code> and <code>b</code>.
Profile: common
 public max(a: Long, b: Long) : Long

Returns the greater of two
long
values.Returns the greater of two
long
values. That is, the result is the argument closer to the value ofLong.MAX_VALUE
. If the arguments have the same value, the result is that same value.See Also:
java.lang.Long#MAX_VALUE
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Long
 the larger of <code>a</code> and <code>b</code>.
Profile: common
 public max(a: Number, b: Number) : Number

Returns the greater of two
float
values.Returns the greater of two
float
values. That is, the result is the argument closer to positive infinity. If the arguments have the same value, the result is that same value. If either value is NaN, then the result is NaN. Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. If one argument is positive zero and the other negative zero, the result is positive zero.
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Number
 the larger of <code>a</code> and <code>b</code>.
Profile: common
 public max(a: Double, b: Double) : Double

Returns the greater of two
double
values.Returns the greater of two
double
values. That is, the result is the argument closer to positive infinity. If the arguments have the same value, the result is that same value. If either value is NaN, then the result is NaN. Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. If one argument is positive zero and the other negative zero, the result is positive zero.
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Double
 the larger of <code>a</code> and <code>b</code>.
Profile: common
 public min(a: Integer, b: Integer) : Integer

Returns the smaller of two
int
values.Returns the smaller of two
int
values. That is, the result the argument closer to the value ofInteger.MIN_VALUE
. If the arguments have the same value, the result is that same value.See Also:
java.lang.Long#MIN_VALUE
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Integer
 the smaller of <code>a</code> and <code>b</code>.
Profile: common
 public min(a: Long, b: Long) : Long

Returns the smaller of two
long
values.Returns the smaller of two
long
values. That is, the result is the argument closer to the value ofLong.MIN_VALUE
. If the arguments have the same value, the result is that same value.See Also:
java.lang.Long#MIN_VALUE
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Long
 the smaller of <code>a</code> and <code>b</code>.
Profile: common
 public min(a: Number, b: Number) : Number

Returns the smaller of two
float
values.Returns the smaller of two
float
values. That is, the result is the value closer to negative infinity. If the arguments have the same value, the result is that same value. If either value is NaN, then the result is NaN. Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. If one argument is positive zero and the other is negative zero, the result is negative zero.
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Number
 the smaller of <code>a</code> and <code>b.</code>
Profile: common
 public min(a: Double, b: Double) : Double

Returns the smaller of two
double
values.Returns the smaller of two
double
values. That is, the result is the value closer to negative infinity. If the arguments have the same value, the result is that same value. If either value is NaN, then the result is NaN. Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. If one argument is positive zero and the other is negative zero, the result is negative zero.
Parameters
 a
 an argument.
 b
 another argument.

Returns
 Double
 the smaller of <code>a</code> and <code>b</code>.
Profile: common
 public pow(a: Double, b: Double) : Double

Returns the value of the first argument raised to the power of the second argument.
Returns the value of the first argument raised to the power of the second argument. Special cases:
 If the second argument is positive or negative zero, then the result is 1.0.
 If the second argument is 1.0, then the result is the same as the first argument.
 If the second argument is NaN, then the result is NaN.
 If the first argument is NaN and the second argument is nonzero, then the result is NaN.
 If
 the absolute value of the first argument is greater than 1 and the second argument is positive infinity, or
 the absolute value of the first argument is less than 1 and the second argument is negative infinity,
 If
 the absolute value of the first argument is greater than 1 and the second argument is negative infinity, or
 the absolute value of the first argument is less than 1 and the second argument is positive infinity,
 If the absolute value of the first argument equals 1 and the second argument is infinite, then the result is NaN.
 If
 the first argument is positive zero and the second argument is greater than zero, or
 the first argument is positive infinity and the second argument is less than zero,
 If
 the first argument is positive zero and the second argument is less than zero, or
 the first argument is positive infinity and the second argument is greater than zero,
 If
 the first argument is negative zero and the second argument is greater than zero but not a finite odd integer, or
 the first argument is negative infinity and the second argument is less than zero but not a finite odd integer,
 If
 the first argument is negative zero and the second argument is a positive finite odd integer, or
 the first argument is negative infinity and the second argument is a negative finite odd integer,
 If
 the first argument is negative zero and the second argument is less than zero but not a finite odd integer, or
 the first argument is negative infinity and the second argument is greater than zero but not a finite odd integer,
 If
 the first argument is negative zero and the second argument is a negative finite odd integer, or
 the first argument is negative infinity and the second argument is a positive finite odd integer,
 If the first argument is finite and less than zero
 if the second argument is a finite even integer, the result is equal to the result of raising the absolute value of the first argument to the power of the second argument
 if the second argument is a finite odd integer, the result is equal to the negative of the result of raising the absolute value of the first argument to the power of the second argument
 if the second argument is finite and not an integer, then the result is NaN.
 If both arguments are integers, then the result is exactly equal
to the mathematical result of raising the first argument to the power
of the second argument if that result can in fact be represented
exactly as a
double
value.
(In the foregoing descriptions, a floatingpoint value is considered to be an integer if and only if it is finite and a fixed point of the method <tt>ceil</tt> or, equivalently, a fixed point of the method <tt>floor</tt>. A value is a fixed point of a oneargument method if and only if the result of applying the method to the value is equal to the value.)

Parameters
 a
 the base.
 b
 the exponent.

Returns
 Double
 the value <code>a<sup>b</sup></code>.
Profile: common
 public random() : Double

Returns a
double
value with a positive sign, greater than or equal to0.0
and less than1.0
.Returns a
double
value with a positive sign, greater than or equal to0.0
and less than1.0
. Returned values are chosen pseudorandomly with (approximately) uniform distribution from that range.When this method is first called, it creates a single new pseudorandomnumber generator, exactly as if by the expression
This new pseudorandomnumber generator is used thereafter for all calls to this method and is used nowhere else.new java.util.Random
This method is properly synchronized to allow correct use by more than one thread. However, if many threads need to generate pseudorandom numbers at a great rate, it may reduce contention for each thread to have its own pseudorandomnumber generator.
See Also:
java.util.Random#nextDouble()
Returns
 Double
 a pseudorandom <code>double</code> greater than or equal to <code>0.0</code> and less than <code>1.0</code>.
Profile: common
 public round(a: Double) : Long

Returns the closest
long
to the argument.Returns the closest
long
to the argument. The result is rounded to an integer by adding 1/2, taking the floor of the result, and casting the result to typelong
. In other words, the result is equal to the value of the expression:(long)Math.floor(a + 0.5d)
Special cases:
 If the argument is NaN, the result is 0.
 If the argument is negative infinity or any value less than or
equal to the value of
Long.MIN_VALUE
, the result is equal to the value ofLong.MIN_VALUE
.  If the argument is positive infinity or any value greater than or
equal to the value of
Long.MAX_VALUE
, the result is equal to the value ofLong.MAX_VALUE
.
See Also:
java.lang.Long#MAX_VALUE, java.lang.Long#MIN_VALUE
Parameters
 a
 a floatingpoint value to be rounded to a <code>long</code>.

Returns
 Long
 the value of the argument rounded to the nearest <code>long</code> value.
Profile: common
 public round(a: Number) : Integer

Returns the closest
int
to the argument.Returns the closest
int
to the argument. The result is rounded to an integer by adding 1/2, taking the floor of the result, and casting the result to typeint
. In other words, the result is equal to the value of the expression:(int)Math.floor(a + 0.5f)
Special cases:
 If the argument is NaN, the result is 0.
 If the argument is negative infinity or any value less than or
equal to the value of
Integer.MIN_VALUE
, the result is equal to the value ofInteger.MIN_VALUE
.  If the argument is positive infinity or any value greater than or
equal to the value of
Integer.MAX_VALUE
, the result is equal to the value ofInteger.MAX_VALUE
.
See Also:
java.lang.Integer#MAX_VALUE, java.lang.Integer#MIN_VALUE
Parameters
 a
 a floatingpoint value to be rounded to an integer.

Returns
 Integer
 the value of the argument rounded to the nearest <code>int</code> value.
Profile: common
 public signum(a: Double) : Double

Returns the signum function of the argument; zero if the argument is zero, 1.0 if the argument is greater than zero, 1.0 if the argument is less than zero.
Returns the signum function of the argument; zero if the argument is zero, 1.0 if the argument is greater than zero, 1.0 if the argument is less than zero.
Special Cases:
 If the argument is NaN, then the result is NaN.
 If the argument is positive zero or negative zero, then the result is the same as the argument.

Parameters
 a
 the floatingpoint value whose signum is to be returned

Returns
 Double
 the signum function of the argument
Profile: common
 public signum(a: Number) : Number

Returns the signum function of the argument; zero if the argument is zero, 1.0f if the argument is greater than zero, 1.0f if the argument is less than zero.
Returns the signum function of the argument; zero if the argument is zero, 1.0f if the argument is greater than zero, 1.0f if the argument is less than zero.
Special Cases:
 If the argument is NaN, then the result is NaN.
 If the argument is positive zero or negative zero, then the result is the same as the argument.

Parameters
 a
 the floatingpoint value whose signum is to be returned

Returns
 Number
 the signum function of the argument
Profile: common
 public sin(a: Double) : Double

Returns the trigonometric sine of an angle.
Returns the trigonometric sine of an angle. Special cases:
 If the argument is NaN or an infinity, then the result is NaN.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 a
 an angle, in radians.

Returns
 Double
 the sine of the argument.
Profile: common
 public sinh(x: Double) : Double

Returns the hyperbolic sine of a
double
value.Returns the hyperbolic sine of a
double
value. The hyperbolic sine of x is defined to be (e^{x}  e^{x})/2 where e is Math#E Euler's number.Special cases:
 If the argument is NaN, then the result is NaN.
 If the argument is infinite, then the result is an infinity with the same sign as the argument.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 x
 The number whose hyperbolic sine is to be returned.

Returns
 Double
 The hyperbolic sine of <code>x</code>.
Profile: common
 public sqrt(a: Double) : Double

Returns the correctly rounded positive square root of a
double
value.Returns the correctly rounded positive square root of a
double
value. Special cases: If the argument is NaN or less than zero, then the result is NaN.
 If the argument is positive infinity, then the result is positive infinity.
 If the argument is positive zero or negative zero, then the result is the same as the argument.
double
value closest to the true mathematical square root of the argument value.
Parameters
 a
 a value.

Returns
 Double
 the positive square root of <code>a</code>. If the argument is NaN or less than zero, the result is NaN.
Profile: common
 public tan(a: Double) : Double

Returns the trigonometric tangent of an angle.
Returns the trigonometric tangent of an angle. Special cases:
 If the argument is NaN or an infinity, then the result is NaN.
 If the argument is zero, then the result is a zero with the same sign as the argument.

Parameters
 a
 an angle, in radians.

Returns
 Double
 the tangent of the argument.
Profile: common
 public tanh(x: Double) : Double

Returns the hyperbolic tangent of a
double
value.Returns the hyperbolic tangent of a
double
value. The hyperbolic tangent of x is defined to be (e^{x}  e^{x})/(e^{x} + e^{x}), in other words, Math#sinh sinh(<i>x</i>)/Math#cosh cosh(<i>x</i>). Note that the absolute value of the exact tanh is always less than 1.Special cases:
 If the argument is NaN, then the result is NaN.
 If the argument is zero, then the result is a zero with the same sign as the argument.
 If the argument is positive infinity, then the result is
+1.0
.  If the argument is negative infinity, then the result is
1.0
.

Parameters
 x
 The number whose hyperbolic tangent is to be returned.

Returns
 Double
 The hyperbolic tangent of <code>x</code>.
Profile: common
 public toDegrees(angrad: Double) : Double

Converts an angle measured in radians to an approximately equivalent angle measured in degrees.
Converts an angle measured in radians to an approximately equivalent angle measured in degrees. The conversion from radians to degrees is generally inexact; users should not expect
cos(toRadians(90.0))
to exactly equal0.0
.
Parameters
 angrad
 an angle, in radians

Returns
 Double
 the measurement of the angle <code>angrad</code> in degrees.
Profile: common
 public toRadians(angdeg: Double) : Double

Converts an angle measured in degrees to an approximately equivalent angle measured in radians.
Converts an angle measured in degrees to an approximately equivalent angle measured in radians. The conversion from degrees to radians is generally inexact.

Parameters
 angdeg
 an angle, in degrees

Returns
 Double
 the measurement of the angle <code>angdeg</code> in radians.
Profile: common