E

Constant for e, the base for natural logarithms.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#E

IEEE-remainder

Usage: (IEEE-remainder dividend divisor)

Returns the remainder per IEEE 754 such that  remainder = dividend - divisor * nwhere n is the integer closest to the exact value of dividend / divisor.If two integers are equally close, then n is the even one.If the remainder is zero, sign will match dividend.If dividend or divisor is ##NaN, or dividend is ##Inf or ##-Inf, or divisor is zero => ##NaNIf dividend is finite and divisor is infinite => dividendSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#IEEEremainder-double-double-

PI

Constant for pi, the ratio of the circumference of a circle to its diameter.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#PI

acos

Usage: (acos a)

Returns the arc cosine of a, in the range 0.0 to pi.If a is ##NaN or |a|>1 => ##NaNSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#acos-double-

add-exact

Usage: (add-exact x y)

Returns the sum of x and y, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#addExact-long-long-

asin

Usage: (asin a)

Returns the arc sine of an angle, in the range -pi/2 to pi/2.If a is ##NaN or |a|>1 => ##NaNIf a is zero => zero with the same sign as aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#asin-double-

atan

Usage: (atan a)

Returns the arc tangent of a, in the range of -pi/2 to pi/2.If a is ##NaN => ##NaNIf a is zero => zero with the same sign as aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#atan-double-

atan2

Usage: (atan2 y x)

Returns the angle theta from the conversion of rectangular coordinates (x, y) to polar coordinates (r, theta).Computes the phase theta by computing an arc tangent of y/x in the range of -pi to pi.For more details on special cases, see:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#atan2-double-double-

cbrt

Usage: (cbrt a)

Returns the cube root of a.If a is ##NaN => ##NaNIf a is ##Inf or ##-Inf => aIf a is zero => zero with sign matching aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#cbrt-double-

ceil

Usage: (ceil a)

Returns the smallest double greater than or equal to a, and equal to amathematical integer.If a is ##NaN or ##Inf or ##-Inf or already equal to an integer => aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#ceil-double-

copy-sign

Usage: (copy-sign magnitude sign)

Returns a double with the magnitude of the first argument and the sign ofthe second.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#copySign-double-double-

cos

Usage: (cos a)

Returns the cosine of an angle.If a is ##NaN, ##-Inf, ##Inf => ##NaNSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#cos-double-

cosh

Usage: (cosh x)

Returns the hyperbolic cosine of x, (e^x + e^-x)/2.If x is ##NaN => ##NaNIf x is ##Inf or ##-Inf => ##InfIf x is zero => 1.0See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#cosh-double-

decrement-exact

Usage: (decrement-exact a)

Returns a decremented by 1, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#decrementExact-long-

exp

Usage: (exp a)

Returns Euler's number e raised to the power of a.If a is ##NaN => ##NaNIf a is ##Inf => ##InfIf a is ##-Inf => +0.0See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#exp-double-

expm1

Usage: (expm1 x)

Returns e^x - 1. Near 0, expm1(x)+1 is more accurate to e^x than exp(x).If x is ##NaN => ##NaNIf x is ##Inf => #InfIf x is ##-Inf => -1.0If x is zero => xSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#expm1-double-

floor

Usage: (floor a)

Returns the largest double less than or equal to a, and equal to amathematical integer.If a is ##NaN or ##Inf or ##-Inf or already equal to an integer => aIf a is less than zero but greater than -1.0 => -0.0See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#floor-double-

floor-div

Usage: (floor-div x y)

Integer division that rounds to negative infinity (as opposed to zero).The special case (floorDiv Long/MIN_VALUE -1) overflows and returns Long/MIN_VALUE.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#floorDiv-long-long-

floor-mod

Usage: (floor-mod x y)

Integer modulus x - (floorDiv(x, y) * y). Sign matches y and is in therange -|y| < r < |y|.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#floorMod-long-long-

get-exponent

Usage: (get-exponent d)

Returns the exponent of d.If d is ##NaN, ##Inf, ##-Inf => Double/MAX_EXPONENT + 1If d is zero or subnormal => Double/MIN_EXPONENT - 1See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#getExponent-double-

hypot

Usage: (hypot x y)

Returns sqrt(x^2 + y^2) without intermediate underflow or overflow.If x or y is ##Inf or ##-Inf => ##InfIf x or y is ##NaN and neither is ##Inf or ##-Inf => ##NaNSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#hypot-double-double-

increment-exact

Usage: (increment-exact a)

Returns a incremented by 1, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#incrementExact-long-

log

Usage: (log a)

Returns the natural logarithm (base e) of a.If a is ##NaN or negative => ##NaNIf a is ##Inf => ##InfIf a is zero => ##-InfSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#log-double-

log10

Usage: (log10 a)

Returns the logarithm (base 10) of a.If a is ##NaN or negative => ##NaNIf a is ##Inf => ##InfIf a is zero => ##-InfSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#log10-double-

log1p

Usage: (log1p x)

Returns ln(1+x). For small values of x, log1p(x) is more accurate thanlog(1.0+x).If x is ##NaN or < -1 => ##NaNIf x is ##Inf => ##InfIf x is -1 => ##-InfIf x is 0 => 0 with sign matching xSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#log1p-double-

multiply-exact

Usage: (multiply-exact x y)

Returns the product of x and y, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#multiplyExact-long-long-

negate-exact

Usage: (negate-exact a)

Returns the negation of a, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#negateExact-long-

next-after

Usage: (next-after start direction)

Returns the adjacent floating point number to start in the direction ofthe second argument. If the arguments are equal, the second is returned.If either arg is #NaN => #NaNIf both arguments are signed zeros => directionIf start is +-Double/MIN_VALUE and direction would cause a smaller magnitude  => zero with sign matching startIf start is ##Inf or ##-Inf and direction would cause a smaller magnitude  => Double/MAX_VALUE with same sign as startIf start is equal to +=Double/MAX_VALUE and direction would cause a larger magnitude  => ##Inf or ##-Inf with sign matching startSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#nextAfter-double-double-

next-down

Usage: (next-down d)

Returns the adjacent double of d in the direction of ##-Inf.If d is ##NaN => ##NaNIf d is ##-Inf => ##-InfIf d is zero => -Double/MIN_VALUESee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#nextDown-double-

next-up

Usage: (next-up d)

Returns the adjacent double of d in the direction of ##Inf.If d is ##NaN => ##NaNIf d is ##Inf => ##InfIf d is zero => Double/MIN_VALUESee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#nextUp-double-

pow

Usage: (pow a b)

Returns the value of a raised to the power of b.For more details on special cases, see:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#pow-double-double-

random

Usage: (random)

Returns a positive double between 0.0 and 1.0, chosen pseudorandomly withapproximately random distribution.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#random--

rint

Usage: (rint a)

Returns the double closest to a and equal to a mathematical integer.If two values are equally close, return the even one.If a is ##NaN or ##Inf or ##-Inf or zero => aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#rint-double-

round

Usage: (round a)

Returns the closest long to a. If equally close to two values, return the onecloser to ##Inf.If a is ##NaN => 0If a is ##-Inf or < Long/MIN_VALUE => Long/MIN_VALUEIf a is ##Inf or > Long/MAX_VALUE => Long/MAX_VALUESee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#round-double-

scalb

Usage: (scalb d scaleFactor)

Returns d * 2^scaleFactor, scaling by a factor of 2. If the exponentis between Double/MIN_EXPONENT and Double/MAX_EXPONENT, the answer is exact.If d is ##NaN => ##NaNIf d is ##Inf or ##-Inf => ##Inf or ##-Inf respectivelyIf d is zero => zero of same sign as dSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#nextDown-double-

signum

Usage: (signum d)

Returns the signum function of d - zero for zero, 1.0 if >0, -1.0 if <0.If d is ##NaN => ##NaNSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#signum-double-

sin

Usage: (sin a)

Returns the sine of an angle.If a is ##NaN, ##-Inf, ##Inf => ##NaNIf a is zero => zero with the same sign as aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#sin-double-

sinh

Usage: (sinh x)

Returns the hyperbolic sine of x, (e^x - e^-x)/2.If x is ##NaN => ##NaNIf x is ##Inf or ##-Inf or zero => xSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#sinh-double-

sqrt

Usage: (sqrt a)

Returns the positive square root of a.If a is ##NaN or negative => ##NaNIf a is ##Inf => ##InfIf a is zero => aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#sqrt-double-

subtract-exact

Usage: (subtract-exact x y)

Returns the difference of x and y, throws ArithmeticException on overflow.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#subtractExact-long-long-

tan

Usage: (tan a)

Returns the tangent of an angle.If a is ##NaN, ##-Inf, ##Inf => ##NaNIf a is zero => zero with the same sign as aSee:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#tan-double-

tanh

Usage: (tanh x)

Returns the hyperbolic tangent of x, sinh(x)/cosh(x).If x is ##NaN => ##NaNIf x is zero => zero, with same signIf x is ##Inf => +1.0If x is ##-Inf => -1.0See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#tanh-double-

to-degrees

Usage: (to-degrees r)

Converts an angle in radians to an approximate equivalent angle in degrees.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#toDegrees-double-

to-radians

Usage: (to-radians deg)

Converts an angle in degrees to an approximate equivalent angle in radians.See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#toRadians-double-

ulp

Usage: (ulp d)

Returns the size of an ulp (unit in last place) for d.If d is ##NaN => ##NaNIf d is ##Inf or ##-Inf => ##InfIf d is zero => Double/MIN_VALUEIf d is +/- Double/MAX_VALUE => 2^971See:https://docs.oracle.com/javase/8/docs/api/java/lang/Math.html#ulp-double-