Java™ Platform
Standard Ed. 6

java.lang
Class StrictMath

java.lang.Object
  extended by java.lang.StrictMath

public final class StrictMath
extends Object

The class StrictMath contains methods for performing basic numeric operations such as the elementary exponential, logarithm, square root, and trigonometric functions.

To help ensure portability of Java programs, the definitions of some of the numeric functions in this package require that they produce the same results as certain published algorithms. These algorithms are available from the well-known network library netlib as the package "Freely Distributable Math Library," fdlibm. These algorithms, which are written in the C programming language, are then to be understood as executed with all floating-point operations following the rules of Java floating-point arithmetic.

The Java math library is defined with respect to fdlibm version 5.3. Where fdlibm provides more than one definition for a function (such as acos), use the "IEEE 754 core function" version (residing in a file whose name begins with the letter e). The methods which require fdlibm semantics are sin, cos, tan, asin, acos, atan, exp, log, log10, cbrt, atan2, pow, sinh, cosh, tanh, hypot, expm1, and log1p.

Since:
1.3

Field Summary
static double E
          The double value that is closer than any other to e, the base of the natural logarithms.
static double PI
          The double value that is closer than any other to pi, the ratio of the circumference of a circle to its diameter.
 
Method Summary
static double abs(double a)
          Returns the absolute value of a double value.
static float abs(float a)
          Returns the absolute value of a float value.
static int abs(int a)
          Returns the absolute value of an int value..
static long abs(long a)
          Returns the absolute value of a long value.
static double acos(double a)
          Returns the arc cosine of a value; the returned angle is in the range 0.0 through pi.
static double asin(double a)
          Returns the arc sine of a value; the returned angle is in the range -pi/2 through pi/2.
static double atan(double a)
          Returns the arc tangent of a value; the returned angle is in the range -pi/2 through pi/2.
static double atan2(double y, double x)
          Returns the angle theta from the conversion of rectangular coordinates (xy) to polar coordinates (r, theta).
static double cbrt(double a)
          Returns the cube root of a double value.
static double ceil(double a)
          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.
static double copySign(double magnitude, double sign)
          Returns the first floating-point argument with the sign of the second floating-point argument.
static float copySign(float magnitude, float sign)
          Returns the first floating-point argument with the sign of the second floating-point argument.
static double cos(double a)
          Returns the trigonometric cosine of an angle.
static double cosh(double x)
          Returns the hyperbolic cosine of a double value.
static double exp(double a)
          Returns Euler's number e raised to the power of a double value.
static double expm1(double x)
          Returns ex -1.
static double floor(double a)
          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.
static int getExponent(double d)
          Returns the unbiased exponent used in the representation of a double.
static int getExponent(float f)
          Returns the unbiased exponent used in the representation of a float.
static double hypot(double x, double y)
          Returns sqrt(x2 +y2) without intermediate overflow or underflow.
static double IEEEremainder(double f1, double f2)
          Computes the remainder operation on two arguments as prescribed by the IEEE 754 standard.
static double log(double a)
          Returns the natural logarithm (base e) of a double value.
static double log10(double a)
          Returns the base 10 logarithm of a double value.
static double log1p(double x)
          Returns the natural logarithm of the sum of the argument and 1.
static double max(double a, double b)
          Returns the greater of two double values.
static float max(float a, float b)
          Returns the greater of two float values.
static int max(int a, int b)
          Returns the greater of two int values.
static long max(long a, long b)
          Returns the greater of two long values.
static double min(double a, double b)
          Returns the smaller of two double values.
static float min(float a, float b)
          Returns the smaller of two float values.
static int min(int a, int b)
          Returns the smaller of two int values.
static long min(long a, long b)
          Returns the smaller of two long values.
static double nextAfter(double start, double direction)
          Returns the floating-point number adjacent to the first argument in the direction of the second argument.
static float nextAfter(float start, double direction)
          Returns the floating-point number adjacent to the first argument in the direction of the second argument.
static double nextUp(double d)
          Returns the floating-point value adjacent to d in the direction of positive infinity.
static float nextUp(float f)
          Returns the floating-point value adjacent to f in the direction of positive infinity.
static double pow(double a, double b)
          Returns the value of the first argument raised to the power of the second argument.
static double random()
          Returns a double value with a positive sign, greater than or equal to 0.0 and less than 1.0.
static double rint(double a)
          Returns the double value that is closest in value to the argument and is equal to a mathematical integer.
static long round(double a)
          Returns the closest long to the argument.
static int round(float a)
          Returns the closest int to the argument.
static double scalb(double d, int scaleFactor)
          Return d × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply to a member of the double value set.
static float scalb(float f, int scaleFactor)
          Return f × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply to a member of the float value set.
static double signum(double d)
          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.
static float signum(float f)
          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.
static double sin(double a)
          Returns the trigonometric sine of an angle.
static double sinh(double x)
          Returns the hyperbolic sine of a double value.
static double sqrt(double a)
          Returns the correctly rounded positive square root of a double value.
static double tan(double a)
          Returns the trigonometric tangent of an angle.
static double tanh(double x)
          Returns the hyperbolic tangent of a double value.
static double toDegrees(double angrad)
          Converts an angle measured in radians to an approximately equivalent angle measured in degrees.
static double toRadians(double angdeg)
          Converts an angle measured in degrees to an approximately equivalent angle measured in radians.
static double ulp(double d)
          Returns the size of an ulp of the argument.
static float ulp(float f)
          Returns the size of an ulp of the argument.
 
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
The double value that is closer than any other to e, the base of the natural logarithms.

See Also:
Constant Field Values

PI

public static final double PI
The double value that is closer than any other to pi, the ratio of the circumference of a circle to its diameter.

See Also:
Constant Field Values
Method Detail

sin

public static double sin(double a)
Returns the trigonometric sine of an angle. Special cases:

Parameters:
a - an angle, in radians.
Returns:
the sine of the argument.

cos

public static double cos(double a)
Returns the trigonometric cosine of an angle. Special cases:

Parameters:
a - an angle, in radians.
Returns:
the cosine of the argument.

tan

public static double tan(double a)
Returns the trigonometric tangent of an angle. Special cases:

Parameters:
a - an angle, in radians.
Returns:
the tangent of the argument.

asin

public static double asin(double a)
Returns the arc sine of a value; the returned angle is in the range -pi/2 through pi/2. Special cases:

Parameters:
a - the value whose arc sine is to be returned.
Returns:
the arc sine of the argument.

acos

public static double acos(double a)
Returns the arc cosine of a value; the returned angle is in the range 0.0 through pi. Special case:

Parameters:
a - the value whose arc cosine is to be returned.
Returns:
the arc cosine of the argument.

atan

public static double atan(double a)
Returns the arc tangent of a value; the returned angle is in the range -pi/2 through pi/2. Special cases:

Parameters:
a - the value whose arc tangent is to be returned.
Returns:
the arc tangent of the argument.

toRadians

public static double toRadians(double angdeg)
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:
the measurement of the angle angdeg in radians.

toDegrees

public static double toDegrees(double angrad)
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 equal 0.0.

Parameters:
angrad - an angle, in radians
Returns:
the measurement of the angle angrad in degrees.

exp

public static double exp(double a)
Returns Euler's number e raised to the power of a double value. Special cases:

Parameters:
a - the exponent to raise e to.
Returns:
the value ea, where e is the base of the natural logarithms.

log

public static double log(double a)
Returns the natural logarithm (base e) of a double value. Special cases:

Parameters:
a - a value
Returns:
the value ln a, the natural logarithm of a.

log10

public static double log10(double a)
Returns the base 10 logarithm of a double value. Special cases:

Parameters:
a - a value
Returns:
the base 10 logarithm of a.
Since:
1.5

sqrt

public static double sqrt(double a)
Returns the correctly rounded positive square root of a double value. Special cases: Otherwise, the result is the double value closest to the true mathematical square root of the argument value.

Parameters:
a - a value.
Returns:
the positive square root of a.

cbrt

public static double cbrt(double a)
Returns the cube root of a double value. For positive finite x, 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:

Parameters:
a - a value.
Returns:
the cube root of a.
Since:
1.5

IEEEremainder

public static double IEEEremainder(double f1,
                                   double f2)
Computes the remainder operation on two arguments as prescribed by the IEEE 754 standard. The remainder value is mathematically equal to f1 - f2 × n, where n is the mathematical integer closest to the exact mathematical value of the quotient f1/f2, and if two mathematical integers are equally close to f1/f2, then n is the integer that is even. If the remainder is zero, its sign is the same as the sign of the first argument. Special cases:

Parameters:
f1 - the dividend.
f2 - the divisor.
Returns:
the remainder when f1 is divided by f2.

ceil

public static double ceil(double a)
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: Note that the value of StrictMath.ceil(x) is exactly the value of -StrictMath.floor(-x).

Parameters:
a - a value.
Returns:
the smallest (closest to negative infinity) floating-point value that is greater than or equal to the argument and is equal to a mathematical integer.

floor

public static double floor(double a)
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:

Parameters:
a - a value.
Returns:
the largest (closest to positive infinity) floating-point value that less than or equal to the argument and is equal to a mathematical integer.

rint

public static double rint(double a)
Returns the double value that is closest in value to the argument and is equal to a mathematical integer. If two double values that are mathematical integers are equally close to the value of the argument, the result is the integer value that is even. Special cases:

Parameters:
a - a value.
Returns:
the closest floating-point value to a that is equal to a mathematical integer.

atan2

public static double atan2(double y,
                           double x)
Returns the angle theta from the conversion of rectangular coordinates (xy) to polar coordinates (r, theta). This method computes the phase theta by computing an arc tangent of y/x in the range of -pi to pi. Special cases:

Parameters:
y - the ordinate coordinate
x - the abscissa coordinate
Returns:
the theta component of the point (rtheta) in polar coordinates that corresponds to the point (xy) in Cartesian coordinates.

pow

public static double pow(double a,
                         double b)
Returns the value of the first argument raised to the power of the second argument. Special cases:

(In the foregoing descriptions, a floating-point value is considered to be an integer if and only if it is finite and a fixed point of the method ceil or, equivalently, a fixed point of the method floor. A value is a fixed point of a one-argument method if and only if the result of applying the method to the value is equal to the value.)

Parameters:
a - base.
b - the exponent.
Returns:
the value ab.

round

public static int round(float a)
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 type int. In other words, the result is equal to the value of the expression:

(int)Math.floor(a + 0.5f)

Special cases:

Parameters:
a - a floating-point value to be rounded to an integer.
Returns:
the value of the argument rounded to the nearest int value.
See Also:
Integer.MAX_VALUE, Integer.MIN_VALUE

round

public static long round(double a)
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 type long. In other words, the result is equal to the value of the expression:

(long)Math.floor(a + 0.5d)

Special cases:

Parameters:
a - a floating-point value to be rounded to a long.
Returns:
the value of the argument rounded to the nearest long value.
See Also:
Long.MAX_VALUE, Long.MIN_VALUE

random

public static double random()
Returns a double value with a positive sign, greater than or equal to 0.0 and less than 1.0. Returned values are chosen pseudorandomly with (approximately) uniform distribution from that range.

When this method is first called, it creates a single new pseudorandom-number generator, exactly as if by the expression

new java.util.Random
This new pseudorandom-number generator is used thereafter for all calls to this method and is used nowhere else.

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 pseudorandom number generator.

Returns:
a pseudorandom double greater than or equal to 0.0 and less than 1.0.
See Also:
Random.nextDouble()

abs

public static int abs(int a)
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 representable int value, the result is that same value, which is negative.

Parameters:
a - the argument whose absolute value is to be determined.
Returns:
the absolute value of the argument.
See Also:
Integer.MIN_VALUE

abs

public static long abs(long a)
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 representable long value, the result is that same value, which is negative.

Parameters:
a - the argument whose absolute value is to be determined.
Returns:
the absolute value of the argument.
See Also:
Long.MIN_VALUE

abs

public static float abs(float a)
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: In other words, the result is the same as the value of the expression:

Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))

Parameters:
a - the argument whose absolute value is to be determined
Returns:
the absolute value of the argument.

abs

public static double abs(double a)
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: In other words, the result is the same as the value of the expression:

Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)

Parameters:
a - the argument whose absolute value is to be determined
Returns:
the absolute value of the argument.

max

public static int max(int a,
                      int b)
Returns the greater of two int values. That is, the result is the argument closer to the value of Integer.MAX_VALUE. If the arguments have the same value, the result is that same value.

Parameters:
a - an argument.
b - another argument.
Returns:
the larger of a and b.
See Also:
Long.MAX_VALUE

max

public static long max(long a,
                       long b)
Returns the greater of two long values. That is, the result is the argument closer to the value of Long.MAX_VALUE. If the arguments have the same value, the result is that same value.

Parameters:
a - an argument.
b - another argument.
Returns:
the larger of a and b.
See Also:
Long.MAX_VALUE

max

public static float max(float a,
                        float b)
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:
the larger of a and b.

max

public static double max(double a,
                         double b)
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:
the larger of a and b.

min

public static int min(int a,
                      int b)
Returns the smaller of two int values. That is, the result the argument closer to the value of Integer.MIN_VALUE. If the arguments have the same value, the result is that same value.

Parameters:
a - an argument.
b - another argument.
Returns:
the smaller of a and b.
See Also:
Long.MIN_VALUE

min

public static long min(long a,
                       long b)
Returns the smaller of two long values. That is, the result is the argument closer to the value of Long.MIN_VALUE. If the arguments have the same value, the result is that same value.

Parameters:
a - an argument.
b - another argument.
Returns:
the smaller of a and b.
See Also:
Long.MIN_VALUE

min

public static float min(float a,
                        float b)
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:
the smaller of a and b.

min

public static double min(double a,
                         double b)
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:
the smaller of a and b.

ulp

public static double ulp(double d)
Returns the size of an ulp of the argument. An ulp of a double value is the positive distance between this floating-point value and the double value next larger in magnitude. Note that for non-NaN x, ulp(-x) == ulp(x).

Special Cases:

Parameters:
d - the floating-point value whose ulp is to be returned
Returns:
the size of an ulp of the argument
Since:
1.5

ulp

public static float ulp(float f)
Returns the size of an ulp of the argument. An ulp of a float value is the positive distance between this floating-point value and the float value next larger in magnitude. Note that for non-NaN x, ulp(-x) == ulp(x).

Special Cases:

Parameters:
f - the floating-point value whose ulp is to be returned
Returns:
the size of an ulp of the argument
Since:
1.5

signum

public static double signum(double d)
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:

Parameters:
d - the floating-point value whose signum is to be returned
Returns:
the signum function of the argument
Since:
1.5

signum

public static float signum(float f)
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:

Parameters:
f - the floating-point value whose signum is to be returned
Returns:
the signum function of the argument
Since:
1.5

sinh

public static double sinh(double x)
Returns the hyperbolic sine of a double value. The hyperbolic sine of x is defined to be (ex - e-x)/2 where e is Euler's number.

Special cases:

Parameters:
x - The number whose hyperbolic sine is to be returned.
Returns:
The hyperbolic sine of x.
Since:
1.5

cosh

public static double cosh(double x)
Returns the hyperbolic cosine of a double value. The hyperbolic cosine of x is defined to be (ex + e-x)/2 where e is Euler's number.

Special cases:

Parameters:
x - The number whose hyperbolic cosine is to be returned.
Returns:
The hyperbolic cosine of x.
Since:
1.5

tanh

public static double tanh(double x)
Returns the hyperbolic tangent of a double value. The hyperbolic tangent of x is defined to be (ex - e-x)/(ex + e-x), in other words, sinh(x)/cosh(x). Note that the absolute value of the exact tanh is always less than 1.

Special cases:

Parameters:
x - The number whose hyperbolic tangent is to be returned.
Returns:
The hyperbolic tangent of x.
Since:
1.5

hypot

public static double hypot(double x,
                           double y)
Returns sqrt(x2 +y2) without intermediate overflow or underflow.

Special cases:

Parameters:
x - a value
y - a value
Returns:
sqrt(x2 +y2) without intermediate overflow or underflow
Since:
1.5

expm1

public static double expm1(double x)
Returns ex -1. Note that for values of x near 0, the exact sum of expm1(x) + 1 is much closer to the true result of ex than exp(x).

Special cases:

Parameters:
x - the exponent to raise e to in the computation of ex -1.
Returns:
the value ex - 1.
Since:
1.5

log1p

public static double log1p(double x)
Returns the natural logarithm of the sum of the argument and 1. Note that for small values x, the result of log1p(x) is much closer to the true result of ln(1 + x) than the floating-point evaluation of log(1.0+x).

Special cases:

Parameters:
x - a value
Returns:
the value ln(x + 1), the natural log of x + 1
Since:
1.5

copySign

public static double copySign(double magnitude,
                              double sign)
Returns the first floating-point argument with the sign of the second floating-point argument. For this method, a NaN sign argument is always treated as if it were positive.

Parameters:
magnitude - the parameter providing the magnitude of the result
sign - the parameter providing the sign of the result
Returns:
a value with the magnitude of magnitude and the sign of sign.
Since:
1.6

copySign

public static float copySign(float magnitude,
                             float sign)
Returns the first floating-point argument with the sign of the second floating-point argument. For this method, a NaN sign argument is always treated as if it were positive.

Parameters:
magnitude - the parameter providing the magnitude of the result
sign - the parameter providing the sign of the result
Returns:
a value with the magnitude of magnitude and the sign of sign.
Since:
1.6

getExponent

public static int getExponent(float f)
Returns the unbiased exponent used in the representation of a float. Special cases:

Parameters:
f - a float value
Since:
1.6

getExponent

public static int getExponent(double d)
Returns the unbiased exponent used in the representation of a double. Special cases:

Parameters:
d - a double value
Since:
1.6

nextAfter

public static double nextAfter(double start,
                               double direction)
Returns the floating-point number adjacent to the first argument in the direction of the second argument. If both arguments compare as equal the second argument is returned.

Special cases:

Parameters:
start - starting floating-point value
direction - value indicating which of start's neighbors or start should be returned
Returns:
The floating-point number adjacent to start in the direction of direction.
Since:
1.6

nextAfter

public static float nextAfter(float start,
                              double direction)
Returns the floating-point number adjacent to the first argument in the direction of the second argument. If both arguments compare as equal a value equivalent to the second argument is returned.

Special cases:

Parameters:
start - starting floating-point value
direction - value indicating which of start's neighbors or start should be returned
Returns:
The floating-point number adjacent to start in the direction of direction.
Since:
1.6

nextUp

public static double nextUp(double d)
Returns the floating-point value adjacent to d in the direction of positive infinity. This method is semantically equivalent to nextAfter(d, Double.POSITIVE_INFINITY); however, a nextUp implementation may run faster than its equivalent nextAfter call.

Special Cases:

Parameters:
d - starting floating-point value
Returns:
The adjacent floating-point value closer to positive infinity.
Since:
1.6

nextUp

public static float nextUp(float f)
Returns the floating-point value adjacent to f in the direction of positive infinity. This method is semantically equivalent to nextAfter(f, Float.POSITIVE_INFINITY); however, a nextUp implementation may run faster than its equivalent nextAfter call.

Special Cases:

Parameters:
f - starting floating-point value
Returns:
The adjacent floating-point value closer to positive infinity.
Since:
1.6

scalb

public static double scalb(double d,
                           int scaleFactor)
Return d × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply to a member of the double value set. See the Java Language Specification for a discussion of floating-point value sets. If the exponent of the result is between Double.MIN_EXPONENT and Double.MAX_EXPONENT, the answer is calculated exactly. If the exponent of the result would be larger than Double.MAX_EXPONENT, an infinity is returned. Note that if the result is subnormal, precision may be lost; that is, when scalb(x, n) is subnormal, scalb(scalb(x, n), -n) may not equal x. When the result is non-NaN, the result has the same sign as d.

Special cases:

Parameters:
d - number to be scaled by a power of two.
scaleFactor - power of 2 used to scale d
Returns:
d × 2scaleFactor
Since:
1.6

scalb

public static float scalb(float f,
                          int scaleFactor)
Return f × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply to a member of the float value set. See the Java Language Specification for a discussion of floating-point value sets. If the exponent of the result is between Float.MIN_EXPONENT and Float.MAX_EXPONENT, the answer is calculated exactly. If the exponent of the result would be larger than Float.MAX_EXPONENT, an infinity is returned. Note that if the result is subnormal, precision may be lost; that is, when scalb(x, n) is subnormal, scalb(scalb(x, n), -n) may not equal x. When the result is non-NaN, the result has the same sign as f.

Special cases:

Parameters:
f - number to be scaled by a power of two.
scaleFactor - power of 2 used to scale f
Returns:
f × 2scaleFactor
Since:
1.6

Java™ Platform
Standard Ed. 6

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