Math & Logic

*

Returns the product of nums. (*) returns 1. Does not auto-promote longs, will throw on overflow. See also: *'

+

Returns the sum of nums. (+) returns 0. Does not auto-promote longs, will throw on overflow. See also: +'

-

If no ys are supplied, returns the negation of x, else subtracts the ys from x and returns the result. Does not auto-p...

/

If no denominators are supplied, returns 1/numerator, else returns numerator divided by all of the denominators.

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

Returns the remainder per IEEE 754 such that remainder = dividend - divisor * n where n is the integer closest to ...

PI

Constant for pi, the ratio of the circumference of a circle to its diameter. See: https://docs.oracle.com/javase/8/doc...

abs

Returns the absolute value of a. If a is Long/MIN_VALUE => Long/MIN_VALUE If a is a double and zero => +0.0 If a i...

acos

Returns the arc cosine of a, in the range 0.0 to pi. If a is ##NaN or |a|>1 => ##NaN See: https://docs.oracle.com/ja...

add-exact

Returns the sum of x and y, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/api/jav...

asin

Returns the arc sine of an angle, in the range -pi/2 to pi/2. If a is ##NaN or |a|>1 => ##NaN If a is zero => zero w...

atan

Returns the arc tangent of a, in the range of -pi/2 to pi/2. If a is ##NaN => ##NaN If a is zero => zero with the sa...

atan2

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

cbrt

Returns the cube root of a. If a is ##NaN => ##NaN If a is ##Inf or ##-Inf => a If a is zero => zero with sign mat...

ceil

Returns the smallest double greater than or equal to a, and equal to a mathematical integer. If a is ##NaN or ##Inf ...

copy-sign

Returns a double with the magnitude of the first argument and the sign of the second. See: https://docs.oracle.com/j...

cos

Returns the cosine of an angle. If a is ##NaN, ##-Inf, ##Inf => ##NaN See: https://docs.oracle.com/javase/8/docs/api...

cosh

Returns the hyperbolic cosine of x, (e^x + e^-x)/2. If x is ##NaN => ##NaN If x is ##Inf or ##-Inf => ##Inf If x i...

dec

Returns a number one less than num. Does not auto-promote longs, will throw on overflow. See also: dec'

decrement-exact

Returns a decremented by 1, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/api/jav...

exp

Returns Euler's number e raised to the power of a. If a is ##NaN => ##NaN If a is ##Inf => ##Inf If a is ##-Inf =>...

expm1

Returns e^x - 1. Near 0, expm1(x)+1 is more accurate to e^x than exp(x). If x is ##NaN => ##NaN If x is ##Inf => #In...

floor

Returns the largest double less than or equal to a, and equal to a mathematical integer. If a is ##NaN or ##Inf or #...

floor-div

Integer division that rounds to negative infinity (as opposed to zero). The special case (floorDiv Long/MIN_VALUE -1) ...

floor-mod

Integer modulus x - (floorDiv(x, y) * y). Sign matches y and is in the range -|y| < r < |y|. See: https://docs.oracl...

get-exponent

Returns the exponent of d. If d is ##NaN, ##Inf, ##-Inf => Double/MAX_EXPONENT + 1 If d is zero or subnormal => Doub...

hypot

Returns sqrt(x^2 + y^2) without intermediate underflow or overflow. If x or y is ##Inf or ##-Inf => ##Inf If x or y ...

inc

Returns a number one greater than num. Does not auto-promote longs, will throw on overflow. See also: inc'

increment-exact

Returns a incremented by 1, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/api/jav...

log

Returns the natural logarithm (base e) of a. If a is ##NaN or negative => ##NaN If a is ##Inf => ##Inf If a is zer...

log10

Returns the logarithm (base 10) of a. If a is ##NaN or negative => ##NaN If a is ##Inf => ##Inf If a is zero => ##...

log1p

Returns ln(1+x). For small values of x, log1p(x) is more accurate than log(1.0+x). If x is ##NaN or < -1 => ##NaN ...

max

Returns the greatest of the nums.

min

Returns the least of the nums.

mod

Modulus of num and div. Truncates toward negative infinity.

multiply-exact

Returns the product of x and y, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/api...

negate-exact

Returns the negation of a, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/api/java...

next-after

Returns the adjacent floating point number to start in the direction of the second argument. If the arguments are equa...

next-down

Returns the adjacent double of d in the direction of ##-Inf. If d is ##NaN => ##NaN If d is ##-Inf => ##-Inf If d ...

next-up

Returns the adjacent double of d in the direction of ##Inf. If d is ##NaN => ##NaN If d is ##Inf => ##Inf If d is ...

pow

Returns the value of a raised to the power of b. For more details on special cases, see: https://docs.oracle.com/jav...

quot

quot[ient] of dividing numerator by denominator.

rand

Returns a random floating point number between 0 (inclusive) and n (default 1) (exclusive).

rand-int

Returns a random integer between 0 (inclusive) and n (exclusive).

rand-nth

Return a random element of the (sequential) collection. Will have the same performance characteristics as nth for the ...

random

Returns a positive double between 0.0 and 1.0, chosen pseudorandomly with approximately random distribution. See: ht...

rem

remainder of dividing numerator by denominator.

rint

Returns the double closest to a and equal to a mathematical integer. If two values are equally close, return the even ...

round

Returns the closest long to a. If equally close to two values, return the one closer to ##Inf. If a is ##NaN => 0 ...

scalb

Returns d * 2^scaleFactor, scaling by a factor of 2. If the exponent is between Double/MIN_EXPONENT and Double/MAX_EXP...

signum

Returns the signum function of d - zero for zero, 1.0 if >0, -1.0 if <0. If d is ##NaN => ##NaN See: https://docs.or...

sin

Returns the sine of an angle. If a is ##NaN, ##-Inf, ##Inf => ##NaN If a is zero => zero with the same sign as a S...

sinh

Returns the hyperbolic sine of x, (e^x - e^-x)/2. If x is ##NaN => ##NaN If x is ##Inf or ##-Inf or zero => x See:...

sqrt

Returns the positive square root of a. If a is ##NaN or negative => ##NaN If a is ##Inf => ##Inf If a is zero => a...

subtract-exact

Returns the difference of x and y, throws ArithmeticException on overflow. See: https://docs.oracle.com/javase/8/docs/...

tan

Returns the tangent of an angle. If a is ##NaN, ##-Inf, ##Inf => ##NaN If a is zero => zero with the same sign as a ...

tanh

Returns the hyperbolic tangent of x, sinh(x)/cosh(x). If x is ##NaN => ##NaN If x is zero => zero, with same sign ...

to-degrees

Converts an angle in radians to an approximate equivalent angle in degrees. See: https://docs.oracle.com/javase/8/docs...

to-radians

Converts an angle in degrees to an approximate equivalent angle in radians. See: https://docs.oracle.com/javase/8/docs...

ulp

Returns the size of an ulp (unit in last place) for d. If d is ##NaN => ##NaN If d is ##Inf or ##-Inf => ##Inf If ...

unchecked-add

Returns the sum of x and y, both long. Note - uses a primitive operator subject to overflow.

unchecked-dec

Returns a number one less than x, a long. Note - uses a primitive operator subject to overflow.

unchecked-divide-int

Returns the division of x by y, both int. Note - uses a primitive operator subject to truncation.

unchecked-inc

Returns a number one greater than x, a long. Note - uses a primitive operator subject to overflow.

unchecked-multiply

Returns the product of x and y, both long. Note - uses a primitive operator subject to overflow.

unchecked-negate

Returns the negation of x, a long. Note - uses a primitive operator subject to overflow.

unchecked-remainder-int

Returns the remainder of division of x by y, both int. Note - uses a primitive operator subject to truncation.

unchecked-subtract

Returns the difference of x and y, both long. Note - uses a primitive operator subject to overflow.

bit-and

Bitwise and

bit-and-not

Bitwise and with complement

bit-clear

Clear bit at index n

bit-flip

Flip bit at index n

bit-not

Bitwise complement

bit-or

Bitwise or

bit-set

Set bit at index n

bit-shift-left

Bitwise shift left

bit-shift-right

Bitwise shift right

bit-test

Test bit at index n

bit-xor

Bitwise exclusive or

unsigned-bit-shift-right

Bitwise shift right, without sign-extension.

<

Returns non-nil if nums are in monotonically increasing order, otherwise false.

<=

Returns non-nil if nums are in monotonically non-decreasing order, otherwise false.

=

Equality. Returns true if x equals y, false if not. Same as Java x.equals(y) except it also works for nil, and compare...

>

Returns non-nil if nums are in monotonically decreasing order, otherwise false.

>=

Returns non-nil if nums are in monotonically non-increasing order, otherwise false.

compare

Comparator. Returns a negative number, zero, or a positive number when x is logically 'less than', 'equal to', or 'gre...

not=

Same as (not (= obj1 obj2))

and

Evaluates exprs one at a time, from left to right. If a form returns logical false (nil or false), and returns that va...

false?

Returns true if x is the value false, false otherwise.

not

Returns true if x is logical false, false otherwise.

or

Evaluates exprs one at a time, from left to right. If a form returns a logical true value, or returns that value and d...

true?

Returns true if x is the value true, false otherwise.