Arithmetic Functions (30)

Compute the absolute value.

Add two scalar values, `x + y`. This function is meant for internal use: it is used by the public function `add` This function does not support collections (Array or Matrix).

Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned

Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.

Compute the cube of a value. The cube of x is x * x * x.

Divide two scalar values, `x / y`. This function is meant for internal use: it is used by the public functions `divide` and `inv`. This function does not support collections (Array or Matrix).

Calculate the exponent of a value.

Compute the matrix exponential, expm(A) = e^A.

Calculate the value of subtracting 1 from the exponential value.

Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.

Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.

Compute the greatest common divisor.

Calculate the hypotenuse of a list with values.

Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax ≣ 1 (mod b)

Compute the least common multiple.

Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).

Compute the 10-base logarithm of a value.

Calculate the logarithm of a `value+1`

Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.

Multiply two scalar values, `x * y`. This function is meant for internal use: it is used by the public function `multiply` This function does not support collections (Array or Matrix).

Calculate the norm of a number, vector or matrix.

Calculate the nth root of a value.

round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.

Compute the sign of a value. The sign of a value x is 1 when x>0, -1 when x<0, and 0 when x=0.

Compute the square root value. If x = y * y, then y is the square root of x.

Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.

Compute the square of a value. The square of x is x * x.

Subtract two scalar values, `x - y`. This function is meant for internal use: it is used by the public function `subtract` This function does not support collections (Array or Matrix).

Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.