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Math

ABS​

abs(Number x) -> Number
STABLE

Absolute value of x

ACOS​

acos(Real x) -> Real
STABLE

Inverse cosine radians of x

ASIN​

asin(Real x) -> Real
STABLE

Inverse sine radians of x

ATAN​

atan(Real x) -> Real
STABLE

Inverse tangent radians of x

ATAN2​

atan2(Real y, Real x) -> Real
STABLE

The angle in radians between the positive x-axis of a plane and 

 the point given by the coordinates `(x, y)` on it

B_AND​

b_and(Integer a, Integer b) -> Integer
STABLE

No description.

B_NOT​

b_not(Integer a) -> Integer
STABLE

No description.

B_OR​

b_or(Integer a, Integer b) -> Integer
STABLE

No description.

B_XOR​

b_xor(Integer a, Integer b) -> Integer
STABLE

No description.

CEILING​

ceiling(Number x) -> Integer y
STABLE

The closest integer y >= x

COS​

cos(Real x) -> Real
STABLE

Cosine of x radians

DIV​

div(Number x, Number y) -> Real z
STABLE

Divide number x with y, x / y

DIVIDE​

divide(Integer i, Integer j)->(Integer q, Integer r)
STABLE

Quotient q and remainder r when dividing i with j

EVEN​

even(Integer i)
STABLE

True if i is even integer

EXP​

exp(Real x) -> Real
STABLE

Natural exponent e^x

FLOOR​

floor(Number x) -> Integer y
STABLE

The closest integer y <= x

FMOD​

fmod(Real x, Real y) -> Real
STABLE

The remainder when dividing real numbers x with y

FRAND​

frand(Real low, Real high) -> Real
STABLE

Real random number in interval [low,high)

By default SA Engine is seeded using a cryptographically secure seed. Either call rand_seed to override or set environment variable SA_SKIP_RAND_SEED if you do not wish the random functions to be seeded.

frand(Real high) -> Real
STABLE

Real random number in interval [0,high)

By default SA Engine is seeded using a cryptographically secure seed. Either call rand_seed to override or set environment variable SA_SKIP_RAND_SEED if you do not wish the random functions to be seeded.

IDENTITY​

identity(Object o) -> Object
STABLE

Identity function

IDIV​

idiv(Integer i, Integer j) -> Integer q
STABLE

Integer division of i withj

INTEGER​

integer(Number n) -> Integer i
STABLE

Truncate real number n to integer

INTEGER_NOT​

integer_not(Vector of Integer v) -> Vector of Integer
STABLE

No description.

integer_not(Integer i) -> Integer
STABLE

No description.

ISFINITE​

isfinite(Number x)
STABLE

Is x a proper number?

ISINTEGER​

isinteger(Number x)
STABLE

Is x an integer?

LN​

ln(Real x) -> Real
STABLE

Natural logarithm of x

LOG​

log(Real x, Real b) -> Real
STABLE

Logarithm of x in base b

LOG10​

log10(Real x) -> Real
STABLE

Logarithm of x in base 10

L_SHIFT​

l_shift(Integer a, Integer b) -> Integer
STABLE

No description.

MAX​

max(Object x, Object y) -> Object
STABLE

The largest of objects x and y

MIN​

min(Object x, Object y) -> Object
STABLE

The smallest of objects x and y

MINUS​

minus(Number x, Number y) -> Number z
STABLE

Subtract y from x, x-y

MOD​

mod(Integer i, Integer j) -> Integer k
STABLE

The remainder when dividing integers i with `j

NTOH16​

ntoh16(Integer a) -> Integer
STABLE

No description.

NTOH32​

ntoh32(Integer a) -> Integer
STABLE

No description.

NTOH64​

ntoh64(Integer a) -> Integer r
STABLE

No description.

NUMBER​

number(Object x) -> Number
STABLE

Cast x to number

ODD​

odd(Integer i)
STABLE

True if i is odd integer

PI​

pi( ) -> Real
STABLE

The constant PI

PLUS​

plus(Number x, Number y) -> Number r
STABLE

Add x and y, x + y

POWER​

power(Real base, Real power) -> Real
STABLE

base^power and its inverse

RAND​

rand(Integer high) -> Integer
STABLE

Integer random number in interval [0,high)

By default SA Engine is seeded using a cryptographically secure seed. Either call rand_seed to override or set environment variable SA_SKIP_RAND_SEED if you do not wish the random functions to be seeded.

rand(Integer low, Integer high) -> Integer
STABLE

Integer random number in interval [low,high)

By default SA Engine is seeded using a cryptographically secure seed. Either call rand_seed to override or set environment variable SA_SKIP_RAND_SEED if you do not wish the random functions to be seeded.

RAND_SEED​

rand_seed(Integer x) -> Integer
STABLE

New random seed

RANGE​

range(Integer u) -> Bag of Integer
STABLE

Bag of integers from 1 up to and including u

range(Integer l, Integer u) -> Bag of Integer
STABLE

Bag of integers from and including l up to and including u

range(Integer l, Integer u, Integer s) -> Bag of Integer
STABLE

Bag of integers from and including l up to and possibly including u 

 with step `s`

REAL​

real(Number n) -> Real
STABLE

Make a real number of n

ROUND​

round(Number x) -> Integer
STABLE

Round x to nearest integer

ROUNDTO​

roundto(Object o, Integer digits) -> Literal
STABLE

Round numeric values in o to digits significant decimals

roundto(Real r, Integer d) -> Real
STABLE

Round number r to d decimals

R_SHIFT​

r_shift(Integer a, Integer b) -> Integer
STABLE

No description.

SIGN​

sign(Number x) -> Integer
STABLE

The signum of x

SIGNIF​

signif(Real x, Integer d) -> Real
STABLE

Round x to d significant digits

SIN​

sin(Real x) -> Real
STABLE

Sine of x radians

SQRT​

sqrt(Real x) -> Real r
STABLE

The positive square root of x

TAN​

tan(Real x) -> Real
STABLE

Tangent of x radians

TIMES​

times(Number x, Number y) -> Number z
STABLE

Multiply x with y, x * y

UMINUS​

uminus(Number x) -> Number
STABLE

Unary minus -x