LOG2

Purpose:

Returns Log base 2 of the input.

LOG2(val)

(s, n) = LOG2(val)

val

A scalar, series or table.

A real, series or table, log base 2 of the input.

(s, n) = LOG2(val) returns s and n such that val = s ∙ 2ⁿ and 1/2 ≤ |s| < 1.

log2(1024)

returns 10.

log2({2, 4, 8, 16})

returns the series {1, 2, 3, 4}.

(s, n) = log2(3)

s == 0.75

n == 2

s * 2^n == 3

W1: (s, n) = log2({1..5});ravel(s, n, s * 2^n)

W1 == {{0.5, 1.0, 1.0},

{0.5, 2.0, 2.0},

{0.75, 2.0, 3.0},

{0.5, 3.0, 4.0},

{0.625, 3.0, 5.0}}

LOG2 is useful for manipulating the lengths of FFT calculations.