Added in API level 1

Math

class Math
kotlin.Any
   ↳ java.lang.Math

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

Unlike some of the numeric methods of class StrictMath, all implementations of the equivalent functions of class Math are not defined to return the bit-for-bit same results. This relaxation permits better-performing implementations where strict reproducibility is not required.

By default many of the Math methods simply call the equivalent method in StrictMath for their implementation. Code generators are encouraged to use platform-specific native libraries or microprocessor instructions, where available, to provide higher-performance implementations of Math methods. Such higher-performance implementations still must conform to the specification for Math.

The quality of implementation specifications concern two properties, accuracy of the returned result and monotonicity of the method. Accuracy of the floating-point Math methods is measured in terms of ulps, units in the last place. For a given floating-point format, an ulp of a specific real number value is the distance between the two floating-point values bracketing that numerical value. When discussing the accuracy of a method as a whole rather than at a specific argument, the number of ulps cited is for the worst-case error at any argument. If a method always has an error less than 0.5 ulps, the method always returns the floating-point number nearest the exact result; such a method is correctly rounded. A correctly rounded method is generally the best a floating-point approximation can be; however, it is impractical for many floating-point methods to be correctly rounded. Instead, for the Math class, a larger error bound of 1 or 2 ulps is allowed for certain methods. Informally, with a 1 ulp error bound, when the exact result is a representable number, the exact result should be returned as the computed result; otherwise, either of the two floating-point values which bracket the exact result may be returned. For exact results large in magnitude, one of the endpoints of the bracket may be infinite. Besides accuracy at individual arguments, maintaining proper relations between the method at different arguments is also important. Therefore, most methods with more than 0.5 ulp errors are required to be semi-monotonic: whenever the mathematical function is non-decreasing, so is the floating-point approximation, likewise, whenever the mathematical function is non-increasing, so is the floating-point approximation. Not all approximations that have 1 ulp accuracy will automatically meet the monotonicity requirements.

The platform uses signed two's complement integer arithmetic with int and long primitive types. The developer should choose the primitive type to ensure that arithmetic operations consistently produce correct results, which in some cases means the operations will not overflow the range of values of the computation. The best practice is to choose the primitive type and algorithm to avoid overflow. In cases where the size is int or long and overflow errors need to be detected, the methods whose names end with Exact throw an ArithmeticException when the results overflow.

The 2019 revision of the IEEE 754 floating-point standard includes a section of recommended operations and the semantics of those operations if they are included in a programming environment. The recommended operations present in this class include sin, cos, tan, asin, acos, atan, exp, expm1, log, log10, log1p, sinh, cosh, tanh, hypot, and pow. (The sqrt operation is a required part of IEEE 754 from a different section of the standard.) The special case behavior of the recommended operations generally follows the guidance of the IEEE 754 standard. However, the pow method defines different behavior for some arguments, as noted in its specification. The IEEE 754 standard defines its operations to be correctly rounded, which is a more stringent quality of implementation condition than required for most of the methods in question that are also included in this class.

Summary

Constants
static Double

The double value that is closer than any other to e, the base of the natural logarithms.

static Double

The double value that is closer than any other to pi (π), the ratio of the circumference of a circle to its diameter.

static Double

The double value that is closer than any other to tau (τ), the ratio of the circumference of a circle to its radius.

Public methods
static Double

Computes the remainder operation on two arguments as prescribed by the IEEE 754 standard.

static Int
abs(a: Int)

Returns the absolute value of an int value.

static Long
abs(a: Long)

Returns the absolute value of a long value.

static Float
abs(a: Float)

Returns the absolute value of a float value.

static Double
abs(a: Double)

Returns the absolute value of a double value.

static Int

Returns the mathematical absolute value of an int value if it is exactly representable as an int, throwing ArithmeticException if the result overflows the positive int range.

static Long

Returns the mathematical absolute value of an long value if it is exactly representable as an long, throwing ArithmeticException if the result overflows the positive long range.

static Double

Returns the arc cosine of a value; the returned angle is in the range 0.

static Int
addExact(x: Int, y: Int)

Returns the sum of its arguments, throwing an exception if the result overflows an int.

static Long
addExact(x: Long, y: Long)

Returns the sum of its arguments, throwing an exception if the result overflows a long.

static Double

Returns the arc sine of a value; the returned angle is in the range -pi/2 through pi/2.

static Double

Returns the arc tangent of a value; the returned angle is in the range -pi/2 through pi/2.

static Double
atan2(y: Double, x: Double)

Returns the angle theta from the conversion of rectangular coordinates (xy) to polar coordinates (r, theta).

static Double

Returns the cube root of a double value.

static 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.

static Int
ceilDiv(x: Int, y: Int)

Returns the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient.

static Long
ceilDiv(x: Long, y: Int)

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.

static Long
ceilDiv(x: Long, y: Long)

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.

static Int
ceilDivExact(x: Int, y: Int)

Returns the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient.

static Long

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.

static Int
ceilMod(x: Int, y: Int)

Returns the ceiling modulus of the int arguments.

static Int
ceilMod(x: Long, y: Int)

Returns the ceiling modulus of the long and int arguments.

static Long
ceilMod(x: Long, y: Long)

Returns the ceiling modulus of the long arguments.

static Int
clamp(value: Long, min: Int, max: Int)

Clamps the value to fit between min and max.

static Long
clamp(value: Long, min: Long, max: Long)

Clamps the value to fit between min and max.

static Double
clamp(value: Double, min: Double, max: Double)

Clamps the value to fit between min and max.

static Float
clamp(value: Float, min: Float, max: Float)

Clamps the value to fit between min and max.

static Double
copySign(magnitude: Double, sign: Double)

Returns the first floating-point argument with the sign of the second floating-point argument.

static Float
copySign(magnitude: Float, sign: Float)

Returns the first floating-point argument with the sign of the second floating-point argument.

static Double
cos(a: Double)

Returns the trigonometric cosine of an angle.

static Double

Returns the hyperbolic cosine of a double value.

static Int

Returns the argument decremented by one, throwing an exception if the result overflows an int.

static Long

Returns the argument decremented by one, throwing an exception if the result overflows a long.

static Int
divideExact(x: Int, y: Int)

Returns the quotient of the arguments, throwing an exception if the result overflows an int.

static Long

Returns the quotient of the arguments, throwing an exception if the result overflows a long.

static Double
exp(a: Double)

Returns Euler's number e raised to the power of a double value.

static Double

Returns ex -1.

static 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.

static Int
floorDiv(x: Int, y: Int)

Returns the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient.

static Long
floorDiv(x: Long, y: Int)

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.

static Long
floorDiv(x: Long, y: Long)

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.

static Int

Returns the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient.

static Long

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.

static Int
floorMod(x: Int, y: Int)

Returns the floor modulus of the int arguments.

static Int
floorMod(x: Long, y: Int)

Returns the floor modulus of the long and int arguments.

static Long
floorMod(x: Long, y: Long)

Returns the floor modulus of the long arguments.

static Double
fma(a: Double, b: Double, c: Double)

Returns the fused multiply add of the three arguments; that is, returns the exact product of the first two arguments summed with the third argument and then rounded once to the nearest double.

static Float
fma(a: Float, b: Float, c: Float)

Returns the fused multiply add of the three arguments; that is, returns the exact product of the first two arguments summed with the third argument and then rounded once to the nearest float.

static Int

Returns the unbiased exponent used in the representation of a float.

static Int

Returns the unbiased exponent used in the representation of a double.

static Double
hypot(x: Double, y: Double)

Returns sqrt(x2 +y2) without intermediate overflow or underflow.

static Int

Returns the argument incremented by one, throwing an exception if the result overflows an int.

static Long

Returns the argument incremented by one, throwing an exception if the result overflows a long.

static Double
log(a: Double)

Returns the natural logarithm (base e) of a double value.

static Double

Returns the base 10 logarithm of a double value.

static Double

Returns the natural logarithm of the sum of the argument and 1.

static Int
max(a: Int, b: Int)

Returns the greater of two int values.

static Long
max(a: Long, b: Long)

Returns the greater of two long values.

static Float
max(a: Float, b: Float)

Returns the greater of two float values.

static Double
max(a: Double, b: Double)

Returns the greater of two double values.

static Int
min(a: Int, b: Int)

Returns the smaller of two int values.

static Long
min(a: Long, b: Long)

Returns the smaller of two long values.

static Float
min(a: Float, b: Float)

Returns the smaller of two float values.

static Double
min(a: Double, b: Double)

Returns the smaller of two double values.

static Int

Returns the product of the arguments, throwing an exception if the result overflows an int.

static Long

Returns the product of the arguments, throwing an exception if the result overflows a long.

static Long

Returns the product of the arguments, throwing an exception if the result overflows a long.

static Long
multiplyFull(x: Int, y: Int)

Returns the exact mathematical product of the arguments.

static Long

Returns as a long the most significant 64 bits of the 128-bit product of two 64-bit factors.

static Int

Returns the negation of the argument, throwing an exception if the result overflows an int.

static Long

Returns the negation of the argument, throwing an exception if the result overflows a long.

static Double
nextAfter(start: Double, direction: Double)

Returns the floating-point number adjacent to the first argument in the direction of the second argument.

static Float
nextAfter(start: Float, direction: Double)

Returns the floating-point number adjacent to the first argument in the direction of the second argument.

static Double

Returns the floating-point value adjacent to d in the direction of negative infinity.

static Float

Returns the floating-point value adjacent to f in the direction of negative infinity.

static Double

Returns the floating-point value adjacent to d in the direction of positive infinity.

static Float

Returns the floating-point value adjacent to f in the direction of positive infinity.

static Double
pow(a: Double, b: Double)

Returns the value of the first argument raised to the power of the second argument.

static Double

Returns a double value with a positive sign, greater than or equal to 0.0 and less than 1.0.

static Double

Returns the double value that is closest in value to the argument and is equal to a mathematical integer.

static Int

Returns the closest int to the argument, with ties rounding to positive infinity.

static Long

Returns the closest long to the argument, with ties rounding to positive infinity.

static Double
scalb(d: Double, scaleFactor: Int)

Returns d × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply.

static Float
scalb(f: Float, scaleFactor: Int)

Returns f × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply.

static Double

Returns the signum function of the argument; zero if the argument is zero, 1.

static Float

Returns the signum function of the argument; zero if the argument is zero, 1.

static Double
sin(a: Double)

Returns the trigonometric sine of an angle.

static Double

Returns the hyperbolic sine of a double value.

static Double

Returns the correctly rounded positive square root of a double value.

static Int

Returns the difference of the arguments, throwing an exception if the result overflows an int.

static Long

Returns the difference of the arguments, throwing an exception if the result overflows a long.

static Double
tan(a: Double)

Returns the trigonometric tangent of an angle.

static Double

Returns the hyperbolic tangent of a double value.

static Double
toDegrees(angrad: Double)

Converts an angle measured in radians to an approximately equivalent angle measured in degrees.

static Int
toIntExact(value: Long)

Returns the value of the long argument, throwing an exception if the value overflows an int.

static Double
toRadians(angdeg: Double)

Converts an angle measured in degrees to an approximately equivalent angle measured in radians.

static Double
ulp(d: Double)

Returns the size of an ulp of the argument.

static Float
ulp(f: Float)

Returns the size of an ulp of the argument.

static Long

Returns as a long the most significant 64 bits of the unsigned 128-bit product of two unsigned 64-bit factors.

Constants

E

Added in API level 1
static val E: Double

The double value that is closer than any other to e, the base of the natural logarithms.

Value: 2.718281828459045

PI

Added in API level 1
static val PI: Double

The double value that is closer than any other to pi (π), the ratio of the circumference of a circle to its diameter.

Value: 3.141592653589793

TAU

Added in API level 35
static val TAU: Double

The double value that is closer than any other to tau (τ), the ratio of the circumference of a circle to its radius.

Value: 6.283185307179586

Public methods

IEEEremainder

Added in API level 1
static fun IEEEremainder(
    f1: Double,
    f2: Double
): Double

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:

  • If either argument is NaN, or the first argument is infinite, or the second argument is positive zero or negative zero, then the result is NaN.
  • If the first argument is finite and the second argument is infinite, then the result is the same as the first argument.

Parameters
f1 Double: the dividend.
f2 Double: the divisor.
Return
Double the remainder when f1 is divided by f2.

abs

Added in API level 1
static fun abs(a: Int): Int

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 java.lang.Integer#MIN_VALUE, the most negative representable int value, the result is that same value, which is negative. In contrast, the Math#absExact(int) method throws an ArithmeticException for this value.

Parameters
a Int: the argument whose absolute value is to be determined
Return
Int the absolute value of the argument.

abs

Added in API level 1
static fun abs(a: Long): Long

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 java.lang.Long#MIN_VALUE, the most negative representable long value, the result is that same value, which is negative. In contrast, the Math#absExact(long) method throws an ArithmeticException for this value.

Parameters
a Long: the argument whose absolute value is to be determined
Return
Long the absolute value of the argument.

abs

Added in API level 1
static fun abs(a: Float): Float

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.

Parameters
a Float: the argument whose absolute value is to be determined
Return
Float the absolute value of the argument.

abs

Added in API level 1
static fun abs(a: Double): Double

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.

Parameters
a Double: the argument whose absolute value is to be determined
Return
Double the absolute value of the argument.

absExact

Added in API level 34
static fun absExact(a: Int): Int

Returns the mathematical absolute value of an int value if it is exactly representable as an int, throwing ArithmeticException if the result overflows the positive int range.

Since the range of two's complement integers is asymmetric with one additional negative value (JLS {@jls 4.2.1}), the mathematical absolute value of Integer#MIN_VALUE overflows the positive int range, so an exception is thrown for that argument.

Parameters
a Int: the argument whose absolute value is to be determined
Return
Int the absolute value of the argument, unless overflow occurs
Exceptions
java.lang.ArithmeticException if the argument is Integer#MIN_VALUE

absExact

Added in API level 34
static fun absExact(a: Long): Long

Returns the mathematical absolute value of an long value if it is exactly representable as an long, throwing ArithmeticException if the result overflows the positive long range.

Since the range of two's complement integers is asymmetric with one additional negative value (JLS {@jls 4.2.1}), the mathematical absolute value of Long#MIN_VALUE overflows the positive long range, so an exception is thrown for that argument.

Parameters
a Long: the argument whose absolute value is to be determined
Return
Long the absolute value of the argument, unless overflow occurs
Exceptions
java.lang.ArithmeticException if the argument is Long#MIN_VALUE

acos

Added in API level 1
static fun acos(a: Double): Double

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.
  • If the argument is 1.0, the result is positive zero.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: the value whose arc cosine is to be returned.
Return
Double the arc cosine of the argument.

addExact

Added in API level 24
static fun addExact(
    x: Int,
    y: Int
): Int

Returns the sum of its arguments, throwing an exception if the result overflows an int.

Parameters
x Int: the first value
y Int: the second value
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

addExact

Added in API level 24
static fun addExact(
    x: Long,
    y: Long
): Long

Returns the sum of its arguments, throwing an exception if the result overflows a long.

Parameters
x Long: the first value
y Long: the second value
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

asin

Added in API level 1
static fun asin(a: Double): Double

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.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: the value whose arc sine is to be returned.
Return
Double the arc sine of the argument.

atan

Added in API level 1
static fun atan(a: Double): Double

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.
  • If the argument is java.lang.Double#isInfinite, then the result is the closest value to pi/2 with the same sign as the input.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: the value whose arc tangent is to be returned.
Return
Double the arc tangent of the argument.

atan2

Added in API level 1
static fun atan2(
    y: Double,
    x: Double
): Double

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:

  • 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.

The computed result must be within 2 ulps of the exact result. Results must be semi-monotonic.

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

cbrt

Added in API level 1
static fun cbrt(a: Double): Double

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:

  • 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.

The computed result must be within 1 ulp of the exact result.

Parameters
a Double: a value.
Return
Double the cube root of a.

ceil

Added in API level 1
static fun 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. 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.
Note that the value of Math.ceil(x) is exactly the value of -Math.floor(-x).

Parameters
a Double: a value.
Return
Double 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.

ceilDiv

Added in API level 35
static fun ceilDiv(
    x: Int,
    y: Int
): Int

Returns the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient. There is one special case: if the dividend is Integer.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Integer.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward positive infinity (ceiling) rounding mode. The ceiling rounding mode gives different results from truncation when the exact quotient is not an integer and is positive.

  • If the signs of the arguments are different, the results of ceilDiv and the / operator are the same.
    For example, ceilDiv(-4, 3) == -1 and (-4 / 3) == -1.
  • If the signs of the arguments are the same, ceilDiv returns the smallest integer greater than or equal to the quotient while the / operator returns the largest integer less than or equal to the quotient. They differ if and only if the quotient is not an integer.
    For example, ceilDiv(4, 3) == 2, whereas (4 / 3) == 1.
Parameters
x Int: the dividend
y Int: the divisor
Return
Int the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

ceilDiv

Added in API level 35
static fun ceilDiv(
    x: Long,
    y: Int
): Long

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient. There is one special case: if the dividend is Long.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Long.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward positive infinity (ceiling) rounding mode. The ceiling rounding mode gives different results from truncation when the exact result is not an integer and is positive.

For examples, see ceilDiv(int,int).

Parameters
x Long: the dividend
y Int: the divisor
Return
Long the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

ceilDiv

Added in API level 35
static fun ceilDiv(
    x: Long,
    y: Long
): Long

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient. There is one special case: if the dividend is Long.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Long.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward positive infinity (ceiling) rounding mode. The ceiling rounding mode gives different results from truncation when the exact result is not an integer and is positive.

For examples, see ceilDiv(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

ceilDivExact

Added in API level 35
static fun ceilDivExact(
    x: Int,
    y: Int
): Int

Returns the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient. This method is identical to ceilDiv(int,int) except that it throws an ArithmeticException when the dividend is Integer.MIN_VALUE and the divisor is -1 instead of ignoring the integer overflow and returning Integer.MIN_VALUE.

The ceil modulus method ceilMod(int,int) is a suitable counterpart both for this method and for the ceilDiv(int,int) method.

For examples, see ceilDiv(int,int).

Parameters
x Int: the dividend
y Int: the divisor
Return
Int the smallest (closest to negative infinity) int value that is greater than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero, or the dividend x is Integer.MIN_VALUE and the divisor y is -1.

ceilDivExact

Added in API level 35
static fun ceilDivExact(
    x: Long,
    y: Long
): Long

Returns the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient. This method is identical to ceilDiv(long,long) except that it throws an ArithmeticException when the dividend is Long.MIN_VALUE and the divisor is -1 instead of ignoring the integer overflow and returning Long.MIN_VALUE.

The ceil modulus method ceilMod(long,long) is a suitable counterpart both for this method and for the ceilDiv(long,long) method.

For examples, see ceilDiv(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the smallest (closest to negative infinity) long value that is greater than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero, or the dividend x is Long.MIN_VALUE and the divisor y is -1.

ceilMod

Added in API level 35
static fun ceilMod(
    x: Int,
    y: Int
): Int

Returns the ceiling modulus of the int arguments.

The ceiling modulus is r = x - (ceilDiv(x, y) * y), has the opposite sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between ceilDiv and ceilMod is such that:

  • ceilDiv(x, y) * y + ceilMod(x, y) == x

The difference in values between ceilMod and the % operator is due to the difference between ceilDiv and the / operator, as detailed in ceilDiv(int,int).

Examples:

  • Regardless of the signs of the arguments, ceilMod(x, y) is zero exactly when x % y is zero as well.
  • If neither ceilMod(x, y) nor x % y is zero, they differ exactly when the signs of the arguments are the same.
    • ceilMod(+4, +3) == -2;   and (+4 % +3) == +1
    • ceilMod(-4, -3) == +2;   and (-4 % -3) == -1
    • ceilMod(+4, -3) == +1;   and (+4 % -3) == +1
    • ceilMod(-4, +3) == -1;   and (-4 % +3) == -1
Parameters
x Int: the dividend
y Int: the divisor
Return
Int the ceiling modulus x - (ceilDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

ceilMod

Added in API level 35
static fun ceilMod(
    x: Long,
    y: Int
): Int

Returns the ceiling modulus of the long and int arguments.

The ceiling modulus is r = x - (ceilDiv(x, y) * y), has the opposite sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between ceilDiv and ceilMod is such that:

  • ceilDiv(x, y) * y + ceilMod(x, y) == x

For examples, see ceilMod(int,int).

Parameters
x Long: the dividend
y Int: the divisor
Return
Int the ceiling modulus x - (ceilDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

ceilMod

Added in API level 35
static fun ceilMod(
    x: Long,
    y: Long
): Long

Returns the ceiling modulus of the long arguments.

The ceiling modulus is r = x - (ceilDiv(x, y) * y), has the opposite sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between ceilDiv and ceilMod is such that:

  • ceilDiv(x, y) * y + ceilMod(x, y) == x

For examples, see ceilMod(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the ceiling modulus x - (ceilDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

clamp

Added in API level 35
static fun clamp(
    value: Long,
    min: Int,
    max: Int
): Int

Clamps the value to fit between min and max. If the value is less than min, then min is returned. If the value is greater than max, then max is returned. Otherwise, the original value is returned.

While the original value of type long may not fit into the int type, the bounds have the int type, so the result always fits the int type. This allows to use method to safely cast long value to int with saturation.

Parameters
value Long: value to clamp
min Int: minimal allowed value
max Int: maximal allowed value
Return
Int a clamped value that fits into min..max interval
Exceptions
java.lang.IllegalArgumentException if min > max

clamp

Added in API level 35
static fun clamp(
    value: Long,
    min: Long,
    max: Long
): Long

Clamps the value to fit between min and max. If the value is less than min, then min is returned. If the value is greater than max, then max is returned. Otherwise, the original value is returned.

Parameters
value Long: value to clamp
min Long: minimal allowed value
max Long: maximal allowed value
Return
Long a clamped value that fits into min..max interval
Exceptions
java.lang.IllegalArgumentException if min > max

clamp

Added in API level 35
static fun clamp(
    value: Double,
    min: Double,
    max: Double
): Double

Clamps the value to fit between min and max. If the value is less than min, then min is returned. If the value is greater than max, then max is returned. Otherwise, the original value is returned. If value is NaN, the result is also NaN.

Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. E.g., clamp(-0.0, 0.0, 1.0) returns 0.0.

Parameters
value Double: value to clamp
min Double: minimal allowed value
max Double: maximal allowed value
Return
Double a clamped value that fits into min..max interval
Exceptions
java.lang.IllegalArgumentException if either of min and max arguments is NaN, or min > max, or min is +0.0, and max is -0.0.

clamp

Added in API level 35
static fun clamp(
    value: Float,
    min: Float,
    max: Float
): Float

Clamps the value to fit between min and max. If the value is less than min, then min is returned. If the value is greater than max, then max is returned. Otherwise, the original value is returned. If value is NaN, the result is also NaN.

Unlike the numerical comparison operators, this method considers negative zero to be strictly smaller than positive zero. E.g., clamp(-0.0f, 0.0f, 1.0f) returns 0.0f.

Parameters
value Float: value to clamp
min Float: minimal allowed value
max Float: maximal allowed value
Return
Float a clamped value that fits into min..max interval
Exceptions
java.lang.IllegalArgumentException if either of min and max arguments is NaN, or min > max, or min is +0.0f, and max is -0.0f.

copySign

Added in API level 9
static fun copySign(
    magnitude: Double,
    sign: Double
): Double

Returns the first floating-point argument with the sign of the second floating-point argument. Note that unlike the StrictMath.copySign method, this method does not require NaN sign arguments to be treated as positive values; implementations are permitted to treat some NaN arguments as positive and other NaN arguments as negative to allow greater performance.

Parameters
magnitude Double: the parameter providing the magnitude of the result
sign Double: the parameter providing the sign of the result
Return
Double a value with the magnitude of magnitude and the sign of sign.

copySign

Added in API level 9
static fun copySign(
    magnitude: Float,
    sign: Float
): Float

Returns the first floating-point argument with the sign of the second floating-point argument. Note that unlike the StrictMath.copySign method, this method does not require NaN sign arguments to be treated as positive values; implementations are permitted to treat some NaN arguments as positive and other NaN arguments as negative to allow greater performance.

Parameters
magnitude Float: the parameter providing the magnitude of the result
sign Float: the parameter providing the sign of the result
Return
Float a value with the magnitude of magnitude and the sign of sign.

cos

Added in API level 1
static fun cos(a: Double): Double

Returns the trigonometric cosine 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 1.0.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: an angle, in radians.
Return
Double the cosine of the argument.

cosh

Added in API level 1
static fun cosh(x: Double): Double

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:

  • 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.

The computed result must be within 2.5 ulps of the exact result.

Parameters
x Double: The number whose hyperbolic cosine is to be returned.
Return
Double The hyperbolic cosine of x.

decrementExact

Added in API level 24
static fun decrementExact(a: Int): Int

Returns the argument decremented by one, throwing an exception if the result overflows an int. The overflow only occurs for the minimum value.

Parameters
a Int: the value to decrement
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

decrementExact

Added in API level 24
static fun decrementExact(a: Long): Long

Returns the argument decremented by one, throwing an exception if the result overflows a long. The overflow only occurs for the minimum value.

Parameters
a Long: the value to decrement
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

divideExact

Added in API level 35
static fun divideExact(
    x: Int,
    y: Int
): Int

Returns the quotient of the arguments, throwing an exception if the result overflows an int. Such overflow occurs in this method if x is Integer#MIN_VALUE and y is -1. In contrast, if Integer.MIN_VALUE / -1 were evaluated directly, the result would be Integer.MIN_VALUE and no exception would be thrown.

If y is zero, an ArithmeticException is thrown (JLS {@jls 15.17.2}).

The built-in remainder operator "%" is a suitable counterpart both for this method and for the built-in division operator "/".

Parameters
x Int: the dividend
y Int: the divisor
Return
Int the quotient x / y
Exceptions
java.lang.ArithmeticException if y is zero or the quotient overflows an int

divideExact

Added in API level 35
static fun divideExact(
    x: Long,
    y: Long
): Long

Returns the quotient of the arguments, throwing an exception if the result overflows a long. Such overflow occurs in this method if x is Long#MIN_VALUE and y is -1. In contrast, if Long.MIN_VALUE / -1 were evaluated directly, the result would be Long.MIN_VALUE and no exception would be thrown.

If y is zero, an ArithmeticException is thrown (JLS {@jls 15.17.2}).

The built-in remainder operator "%" is a suitable counterpart both for this method and for the built-in division operator "/".

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the quotient x / y
Exceptions
java.lang.ArithmeticException if y is zero or the quotient overflows a long

exp

Added in API level 1
static fun exp(a: Double): Double

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.
  • If the argument is zero, then the result is 1.0.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

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

expm1

Added in API level 1
static fun expm1(x: Double): Double

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:

  • 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 -1.0.
  • If the argument is zero, then the result is a zero with the same sign as the argument.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic. The result of expm1 for any finite input must be greater than or equal to -1.0. Note that once the exact result of ex - 1 is within 1/2 ulp of the limit value -1, -1.0 should be returned.

Parameters
x Double: the exponent to raise e to in the computation of ex -1.
Return
Double the value ex - 1.

floor

Added in API level 1
static fun 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. 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 Double: a value.
Return
Double the largest (closest to positive infinity) floating-point value that less than or equal to the argument and is equal to a mathematical integer.

floorDiv

Added in API level 24
static fun floorDiv(
    x: Int,
    y: Int
): Int

Returns the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient. There is one special case: if the dividend is Integer.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Integer.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward negative infinity (floor) rounding mode. The floor rounding mode gives different results from truncation when the exact quotient is not an integer and is negative.

  • If the signs of the arguments are the same, the results of floorDiv and the / operator are the same.
    For example, floorDiv(4, 3) == 1 and (4 / 3) == 1.
  • If the signs of the arguments are different, floorDiv returns the largest integer less than or equal to the quotient while the / operator returns the smallest integer greater than or equal to the quotient. They differ if and only if the quotient is not an integer.
    For example, floorDiv(-4, 3) == -2, whereas (-4 / 3) == -1.
Parameters
x Int: the dividend
y Int: the divisor
Return
Int the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

floorDiv

Added in API level 31
static fun floorDiv(
    x: Long,
    y: Int
): Long

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient. There is one special case: if the dividend is Long.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Long.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward negative infinity (floor) rounding mode. The floor rounding mode gives different results from truncation when the exact result is not an integer and is negative.

For examples, see floorDiv(int,int).

Parameters
x Long: the dividend
y Int: the divisor
Return
Long the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

floorDiv

Added in API level 24
static fun floorDiv(
    x: Long,
    y: Long
): Long

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient. There is one special case: if the dividend is Long.MIN_VALUE and the divisor is -1, then integer overflow occurs and the result is equal to Long.MIN_VALUE.

Normal integer division operates under the round to zero rounding mode (truncation). This operation instead acts under the round toward negative infinity (floor) rounding mode. The floor rounding mode gives different results from truncation when the exact result is not an integer and is negative.

For examples, see floorDiv(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero

floorDivExact

Added in API level 35
static fun floorDivExact(
    x: Int,
    y: Int
): Int

Returns the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient. This method is identical to floorDiv(int,int) except that it throws an ArithmeticException when the dividend is Integer.MIN_VALUE and the divisor is -1 instead of ignoring the integer overflow and returning Integer.MIN_VALUE.

The floor modulus method floorMod(int,int) is a suitable counterpart both for this method and for the floorDiv(int,int) method.

For examples, see floorDiv(int,int).

Parameters
x Int: the dividend
y Int: the divisor
Return
Int the largest (closest to positive infinity) int value that is less than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero, or the dividend x is Integer.MIN_VALUE and the divisor y is -1.

floorDivExact

Added in API level 35
static fun floorDivExact(
    x: Long,
    y: Long
): Long

Returns the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient. This method is identical to floorDiv(long,long) except that it throws an ArithmeticException when the dividend is Long.MIN_VALUE and the divisor is -1 instead of ignoring the integer overflow and returning Long.MIN_VALUE.

The floor modulus method floorMod(long,long) is a suitable counterpart both for this method and for the floorDiv(long,long) method.

For examples, see floorDiv(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the largest (closest to positive infinity) long value that is less than or equal to the algebraic quotient.
Exceptions
java.lang.ArithmeticException if the divisor y is zero, or the dividend x is Long.MIN_VALUE and the divisor y is -1.

floorMod

Added in API level 24
static fun floorMod(
    x: Int,
    y: Int
): Int

Returns the floor modulus of the int arguments.

The floor modulus is r = x - (floorDiv(x, y) * y), has the same sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between floorDiv and floorMod is such that:

  • floorDiv(x, y) * y + floorMod(x, y) == x

The difference in values between floorMod and the % operator is due to the difference between floorDiv and the / operator, as detailed in floorDiv(int,int).

Examples:

  • Regardless of the signs of the arguments, floorMod(x, y) is zero exactly when x % y is zero as well.
  • If neither floorMod(x, y) nor x % y is zero, they differ exactly when the signs of the arguments differ.
    • floorMod(+4, +3) == +1;   and (+4 % +3) == +1
    • floorMod(-4, -3) == -1;   and (-4 % -3) == -1
    • floorMod(+4, -3) == -2;   and (+4 % -3) == +1
    • floorMod(-4, +3) == +2;   and (-4 % +3) == -1
Parameters
x Int: the dividend
y Int: the divisor
Return
Int the floor modulus x - (floorDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

floorMod

Added in API level 31
static fun floorMod(
    x: Long,
    y: Int
): Int

Returns the floor modulus of the long and int arguments.

The floor modulus is r = x - (floorDiv(x, y) * y), has the same sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between floorDiv and floorMod is such that:

  • floorDiv(x, y) * y + floorMod(x, y) == x

For examples, see floorMod(int,int).

Parameters
x Long: the dividend
y Int: the divisor
Return
Int the floor modulus x - (floorDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

floorMod

Added in API level 24
static fun floorMod(
    x: Long,
    y: Long
): Long

Returns the floor modulus of the long arguments.

The floor modulus is r = x - (floorDiv(x, y) * y), has the same sign as the divisor y or is zero, and is in the range of -abs(y) < r < +abs(y).

The relationship between floorDiv and floorMod is such that:

  • floorDiv(x, y) * y + floorMod(x, y) == x

For examples, see floorMod(int,int).

Parameters
x Long: the dividend
y Long: the divisor
Return
Long the floor modulus x - (floorDiv(x, y) * y)
Exceptions
java.lang.ArithmeticException if the divisor y is zero

fma

Added in API level 33
static fun fma(
    a: Double,
    b: Double,
    c: Double
): Double

Returns the fused multiply add of the three arguments; that is, returns the exact product of the first two arguments summed with the third argument and then rounded once to the nearest double. The rounding is done using the round to nearest even. In contrast, if a * b + c is evaluated as a regular floating-point expression, two rounding errors are involved, the first for the multiply operation, the second for the addition operation.

Special cases:

  • If any argument is NaN, the result is NaN.
  • If one of the first two arguments is infinite and the other is zero, the result is NaN.
  • If the exact product of the first two arguments is infinite (in other words, at least one of the arguments is infinite and the other is neither zero nor NaN) and the third argument is an infinity of the opposite sign, the result is NaN.

Note that fma(a, 1.0, c) returns the same result as (a + c). However, fma(a, b, +0.0) does not always return the same result as (a * b) since fma(-0.0, +0.0, +0.0) is +0.0 while (-0.0 * +0.0) is -0.0; fma(a, b, -0.0) is equivalent to (a * b) however.

Parameters
a Double: a value
b Double: a value
c Double: a value
Return
Double (a × b + c) computed, as if with unlimited range and precision, and rounded once to the nearest double value

fma

Added in API level 33
static fun fma(
    a: Float,
    b: Float,
    c: Float
): Float

Returns the fused multiply add of the three arguments; that is, returns the exact product of the first two arguments summed with the third argument and then rounded once to the nearest float. The rounding is done using the round to nearest even. In contrast, if a * b + c is evaluated as a regular floating-point expression, two rounding errors are involved, the first for the multiply operation, the second for the addition operation.

Special cases:

  • If any argument is NaN, the result is NaN.
  • If one of the first two arguments is infinite and the other is zero, the result is NaN.
  • If the exact product of the first two arguments is infinite (in other words, at least one of the arguments is infinite and the other is neither zero nor NaN) and the third argument is an infinity of the opposite sign, the result is NaN.

Note that fma(a, 1.0f, c) returns the same result as (a + c). However, fma(a, b, +0.0f) does not always return the same result as (a * b) since fma(-0.0f, +0.0f, +0.0f) is +0.0f while (-0.0f * +0.0f) is -0.0f; fma(a, b, -0.0f) is equivalent to (a * b) however.

Parameters
a Float: a value
b Float: a value
c Float: a value
Return
Float (a × b + c) computed, as if with unlimited range and precision, and rounded once to the nearest float value

getExponent

Added in API level 9
static fun getExponent(f: Float): Int

Returns the unbiased exponent used in the representation of a float. Special cases:

Parameters
f Float: a float value
Return
Int the unbiased exponent of the argument

getExponent

Added in API level 9
static fun getExponent(d: Double): Int

Returns the unbiased exponent used in the representation of a double. Special cases:

Parameters
d Double: a double value
Return
Int the unbiased exponent of the argument

hypot

Added in API level 1
static fun hypot(
    x: Double,
    y: Double
): Double

Returns sqrt(x2 +y2) without intermediate overflow or underflow.

Special cases:

  • If either argument is infinite, then the result is positive infinity.
  • If either argument is NaN and neither argument is infinite, then the result is NaN.
  • If both arguments are zero, the result is positive zero.

The computed result must be within 1 ulp of the exact result. If one parameter is held constant, the results must be semi-monotonic in the other parameter.

Parameters
x Double: a value
y Double: a value
Return
Double sqrt(x2 +y2) without intermediate overflow or underflow

incrementExact

Added in API level 24
static fun incrementExact(a: Int): Int

Returns the argument incremented by one, throwing an exception if the result overflows an int. The overflow only occurs for the maximum value.

Parameters
a Int: the value to increment
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

incrementExact

Added in API level 24
static fun incrementExact(a: Long): Long

Returns the argument incremented by one, throwing an exception if the result overflows a long. The overflow only occurs for the maximum value.

Parameters
a Long: the value to increment
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

log

Added in API level 1
static fun log(a: Double): Double

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.
  • If the argument is 1.0, then the result is positive zero.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: a value
Return
Double the value ln a, the natural logarithm of a.

log10

Added in API level 1
static fun log10(a: Double): Double

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 10n for integer n, then the result is n. In particular, if the argument is 1.0 (100), then the result is positive zero.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: a value
Return
Double the base 10 logarithm of a.

log1p

Added in API level 1
static fun log1p(x: Double): Double

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:

  • If the argument is NaN or less than -1, then the result is NaN.
  • If the argument is positive infinity, then the result is positive infinity.
  • If the argument is negative one, then the result is negative infinity.
  • If the argument is zero, then the result is a zero with the same sign as the argument.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
x Double: a value
Return
Double the value ln(x + 1), the natural log of x + 1

max

Added in API level 1
static fun max(
    a: Int,
    b: Int
): Int

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 Int: an argument.
b Int: another argument.
Return
Int the larger of a and b.

max

Added in API level 1
static fun max(
    a: Long,
    b: Long
): Long

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 Long: an argument.
b Long: another argument.
Return
Long the larger of a and b.

max

Added in API level 1
static fun max(
    a: Float,
    b: Float
): Float

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 Float: an argument.
b Float: another argument.
Return
Float the larger of a and b.

max

Added in API level 1
static fun max(
    a: Double,
    b: Double
): Double

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 Double: an argument.
b Double: another argument.
Return
Double the larger of a and b.

min

Added in API level 1
static fun min(
    a: Int,
    b: Int
): Int

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 Int: an argument.
b Int: another argument.
Return
Int the smaller of a and b.

min

Added in API level 1
static fun min(
    a: Long,
    b: Long
): Long

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 Long: an argument.
b Long: another argument.
Return
Long the smaller of a and b.

min

Added in API level 1
static fun min(
    a: Float,
    b: Float
): Float

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 Float: an argument.
b Float: another argument.
Return
Float the smaller of a and b.

min

Added in API level 1
static fun min(
    a: Double,
    b: Double
): Double

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 Double: an argument.
b Double: another argument.
Return
Double the smaller of a and b.

multiplyExact

Added in API level 24
static fun multiplyExact(
    x: Int,
    y: Int
): Int

Returns the product of the arguments, throwing an exception if the result overflows an int.

Parameters
x Int: the first value
y Int: the second value
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

multiplyExact

Added in API level 31
static fun multiplyExact(
    x: Long,
    y: Int
): Long

Returns the product of the arguments, throwing an exception if the result overflows a long.

Parameters
x Long: the first value
y Int: the second value
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

multiplyExact

Added in API level 24
static fun multiplyExact(
    x: Long,
    y: Long
): Long

Returns the product of the arguments, throwing an exception if the result overflows a long.

Parameters
x Long: the first value
y Long: the second value
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

multiplyFull

Added in API level 31
static fun multiplyFull(
    x: Int,
    y: Int
): Long

Returns the exact mathematical product of the arguments.

Parameters
x Int: the first value
y Int: the second value
Return
Long the result

multiplyHigh

Added in API level 31
static fun multiplyHigh(
    x: Long,
    y: Long
): Long

Returns as a long the most significant 64 bits of the 128-bit product of two 64-bit factors.

Parameters
x Long: the first value
y Long: the second value
Return
Long the result

negateExact

Added in API level 24
static fun negateExact(a: Int): Int

Returns the negation of the argument, throwing an exception if the result overflows an int. The overflow only occurs for the minimum value.

Parameters
a Int: the value to negate
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

negateExact

Added in API level 24
static fun negateExact(a: Long): Long

Returns the negation of the argument, throwing an exception if the result overflows a long. The overflow only occurs for the minimum value.

Parameters
a Long: the value to negate
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

nextAfter

Added in API level 9
static fun nextAfter(
    start: Double,
    direction: Double
): Double

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:

  • If either argument is a NaN, then NaN is returned.
  • If both arguments are signed zeros, direction is returned unchanged (as implied by the requirement of returning the second argument if the arguments compare as equal).
  • If start is ±Double#MIN_VALUE and direction has a value such that the result should have a smaller magnitude, then a zero with the same sign as start is returned.
  • If start is infinite and direction has a value such that the result should have a smaller magnitude, Double#MAX_VALUE with the same sign as start is returned.
  • If start is equal to ± Double#MAX_VALUE and direction has a value such that the result should have a larger magnitude, an infinity with same sign as start is returned.
Parameters
start Double: starting floating-point value
direction Double: value indicating which of start's neighbors or start should be returned
Return
Double The floating-point number adjacent to start in the direction of direction.

nextAfter

Added in API level 9
static fun nextAfter(
    start: Float,
    direction: Double
): Float

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:

  • If either argument is a NaN, then NaN is returned.
  • If both arguments are signed zeros, a value equivalent to direction is returned.
  • If start is ±Float#MIN_VALUE and direction has a value such that the result should have a smaller magnitude, then a zero with the same sign as start is returned.
  • If start is infinite and direction has a value such that the result should have a smaller magnitude, Float#MAX_VALUE with the same sign as start is returned.
  • If start is equal to ± Float#MAX_VALUE and direction has a value such that the result should have a larger magnitude, an infinity with same sign as start is returned.
Parameters
start Float: starting floating-point value
direction Double: value indicating which of start's neighbors or start should be returned
Return
Float The floating-point number adjacent to start in the direction of direction.

nextDown

Added in API level 24
static fun nextDown(d: Double): Double

Returns the floating-point value adjacent to d in the direction of negative infinity. This method is semantically equivalent to nextAfter(d, Double.NEGATIVE_INFINITY); however, a nextDown implementation may run faster than its equivalent nextAfter call.

Special Cases:

  • If the argument is NaN, the result is NaN.
  • If the argument is negative infinity, the result is negative infinity.
  • If the argument is zero, the result is -Double.MIN_VALUE
Parameters
d Double: starting floating-point value
Return
Double The adjacent floating-point value closer to negative infinity.

nextDown

Added in API level 24
static fun nextDown(f: Float): Float

Returns the floating-point value adjacent to f in the direction of negative infinity. This method is semantically equivalent to nextAfter(f, Float.NEGATIVE_INFINITY); however, a nextDown implementation may run faster than its equivalent nextAfter call.

Special Cases:

  • If the argument is NaN, the result is NaN.
  • If the argument is negative infinity, the result is negative infinity.
  • If the argument is zero, the result is -Float.MIN_VALUE
Parameters
f Float: starting floating-point value
Return
Float The adjacent floating-point value closer to negative infinity.

nextUp

Added in API level 9
static fun nextUp(d: Double): Double

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:

  • If the argument is NaN, the result is NaN.
  • If the argument is positive infinity, the result is positive infinity.
  • If the argument is zero, the result is Double#MIN_VALUE
Parameters
d Double: starting floating-point value
Return
Double The adjacent floating-point value closer to positive infinity.

nextUp

Added in API level 9
static fun nextUp(f: Float): Float

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:

  • If the argument is NaN, the result is NaN.
  • If the argument is positive infinity, the result is positive infinity.
  • If the argument is zero, the result is Float#MIN_VALUE
Parameters
f Float: starting floating-point value
Return
Float The adjacent floating-point value closer to positive infinity.

pow

Added in API level 1
static fun pow(
    a: Double,
    b: Double
): Double

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 first argument is 1.0, then the result is 1.0.
  • If the second argument is NaN, then the result is NaN except where the first argument is 1.0.
  • 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,
    then the result is positive 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,
    then the result is positive zero.
  • If the absolute value of the first argument equals 1 and the second argument is infinite, then the result is 1.0.
  • 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,
    then the result is positive 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,
    then the result is positive infinity.
  • 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,
    then the result is positive zero.
  • 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,
    then the result is negative zero.
  • 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,
    then the result is positive infinity.
  • 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,
    then the result is negative infinity.
  • 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 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.)

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: the base.
b Double: the exponent.
Return
Double the value ab.

random

Added in API level 1
static fun random(): Double

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.

Return
Double a pseudorandom double greater than or equal to 0.0 and less than 1.0.

rint

Added in API level 1
static fun rint(a: Double): Double

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, the result is the integer value that is even. 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 Double: a double value.
Return
Double the closest floating-point value to a that is equal to a mathematical integer.

round

Added in API level 1
static fun round(a: Float): Int

Returns the closest int to the argument, with ties rounding to positive infinity.

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 of Integer.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 of Integer.MAX_VALUE.
Parameters
a Float: a floating-point value to be rounded to an integer.
Return
Int the value of the argument rounded to the nearest int value.

round

Added in API level 1
static fun round(a: Double): Long

Returns the closest long to the argument, with ties rounding to positive infinity.

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 of Long.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 of Long.MAX_VALUE.
Parameters
a Double: a floating-point value to be rounded to a long.
Return
Long the value of the argument rounded to the nearest long value.

scalb

Added in API level 9
static fun scalb(
    d: Double,
    scaleFactor: Int
): Double

Returns d × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply. If the exponent of the result is between Double#MIN_EXPONENT and java.lang.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:

  • If the first argument is NaN, NaN is returned.
  • If the first argument is infinite, then an infinity of the same sign is returned.
  • If the first argument is zero, then a zero of the same sign is returned.
Parameters
d Double: number to be scaled by a power of two.
scaleFactor Int: power of 2 used to scale d
Return
Double d × 2scaleFactor

scalb

Added in API level 9
static fun scalb(
    f: Float,
    scaleFactor: Int
): Float

Returns f × 2scaleFactor rounded as if performed by a single correctly rounded floating-point multiply. If the exponent of the result is between Float#MIN_EXPONENT and java.lang.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:

  • If the first argument is NaN, NaN is returned.
  • If the first argument is infinite, then an infinity of the same sign is returned.
  • If the first argument is zero, then a zero of the same sign is returned.
Parameters
f Float: number to be scaled by a power of two.
scaleFactor Int: power of 2 used to scale f
Return
Float f × 2scaleFactor

signum

Added in API level 1
static fun signum(d: 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.

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
d Double: the floating-point value whose signum is to be returned
Return
Double the signum function of the argument

signum

Added in API level 1
static fun signum(f: Float): Float

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
f Float: the floating-point value whose signum is to be returned
Return
Float the signum function of the argument

sin

Added in API level 1
static fun sin(a: Double): Double

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.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: an angle, in radians.
Return
Double the sine of the argument.

sinh

Added in API level 1
static fun sinh(x: Double): Double

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:

  • 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.

The computed result must be within 2.5 ulps of the exact result.

Parameters
x Double: The number whose hyperbolic sine is to be returned.
Return
Double The hyperbolic sine of x.

sqrt

Added in API level 1
static fun sqrt(a: Double): Double

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.
Otherwise, the result is the double value closest to the true mathematical square root of the argument value.

Parameters
a Double: a value.
Return
Double the positive square root of a. If the argument is NaN or less than zero, the result is NaN.

subtractExact

Added in API level 24
static fun subtractExact(
    x: Int,
    y: Int
): Int

Returns the difference of the arguments, throwing an exception if the result overflows an int.

Parameters
x Int: the first value
y Int: the second value to subtract from the first
Return
Int the result
Exceptions
java.lang.ArithmeticException if the result overflows an int

subtractExact

Added in API level 24
static fun subtractExact(
    x: Long,
    y: Long
): Long

Returns the difference of the arguments, throwing an exception if the result overflows a long.

Parameters
x Long: the first value
y Long: the second value to subtract from the first
Return
Long the result
Exceptions
java.lang.ArithmeticException if the result overflows a long

tan

Added in API level 1
static fun tan(a: Double): Double

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.

The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.

Parameters
a Double: an angle, in radians.
Return
Double the tangent of the argument.

tanh

Added in API level 1
static fun tanh(x: Double): Double

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:

  • 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.

The computed result must be within 2.5 ulps of the exact result. The result of tanh for any finite input must have an absolute value less than or equal to 1. Note that once the exact result of tanh is within 1/2 of an ulp of the limit value of ±1, correctly signed ±1.0 should be returned.

Parameters
x Double: The number whose hyperbolic tangent is to be returned.
Return
Double The hyperbolic tangent of x.

toDegrees

Added in API level 1
static fun toDegrees(angrad: Double): Double

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 Double: an angle, in radians
Return
Double the measurement of the angle angrad in degrees.

toIntExact

Added in API level 24
static fun toIntExact(value: Long): Int

Returns the value of the long argument, throwing an exception if the value overflows an int.

Parameters
value Long: the long value
Return
Int the argument as an int
Exceptions
java.lang.ArithmeticException if the argument overflows an int

toRadians

Added in API level 1
static fun toRadians(angdeg: Double): Double

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 Double: an angle, in degrees
Return
Double the measurement of the angle angdeg in radians.

ulp

Added in API level 1
static fun ulp(d: Double): Double

Returns the size of an ulp of the argument. An ulp, unit in the last place, 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:

  • If the argument is NaN, then the result is NaN.
  • If the argument is positive or negative infinity, then the result is positive infinity.
  • If the argument is positive or negative zero, then the result is Double.MIN_VALUE.
  • If the argument is ±Double.MAX_VALUE, then the result is equal to 2971.
Parameters
d Double: the floating-point value whose ulp is to be returned
Return
Double the size of an ulp of the argument

ulp

Added in API level 1
static fun ulp(f: Float): Float

Returns the size of an ulp of the argument. An ulp, unit in the last place, 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:

  • If the argument is NaN, then the result is NaN.
  • If the argument is positive or negative infinity, then the result is positive infinity.
  • If the argument is positive or negative zero, then the result is Float.MIN_VALUE.
  • If the argument is ±Float.MAX_VALUE, then the result is equal to 2104.
Parameters
f Float: the floating-point value whose ulp is to be returned
Return
Float the size of an ulp of the argument

unsignedMultiplyHigh

Added in API level 35
static fun unsignedMultiplyHigh(
    x: Long,
    y: Long
): Long

Returns as a long the most significant 64 bits of the unsigned 128-bit product of two unsigned 64-bit factors.

Parameters
x Long: the first value
y Long: the second value
Return
Long the result

See Also