Module:Utils

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This module primarily serves as a library for other modules and has no corresponding template.

This module provides several mathematical functions which are likely to be used frequently on the Xenharmonic Wiki.

Namely, the functions in this module can be called from other modules by using require("Module:Utils") and calling the desired functions.

For pairs of functions with names that differ by a single leading underscore (for example, gcd and _gcd), the function with an underscore is meant to be called by other modules, and the function without an underscore can be used with #invoke.

Introspection summary for Module:Utils
Functions provided (2) Line Function Params 4 log (x, b) 10 round (x, prec)	Lua modules required (0) Variable Module Functions used

No function descriptions were provided. The Lua code may have further information.

Functions

trim(s)

Removes leading and trailing whitespaces (but not interior ones) from a string.

_yesno(frame)

Wrapper function for Module: Yesno, for use with templates. (Module: Yesno does not have a corresponding template.)

_clamp(value, min_value, max_value)

Returns value such that it is between min_value and max_value.

table_contains(tbl, value, compare_func) *

Checks whether table tbl contains value and returns true (if found) or false if not found. Passing compare_func is optional; By default, value is a numeric value or a string; to check for other values, such as ratios defined by Module: Rational, a comparison function compare_func must be passed in.

index_of(array, value, compare_func) *

Returns the first index with the given value (or nil if not found). Passing compare_func is optional. By default, value is a numeric value or a string; to check for other values, such as ratios defined by Module:Rational, a comparison function compare_func must be passed in.

value_provided(s) *

Checks whether s is a non-empty string.

eval_num_arg(input, def_value) *

Evaluates input as a number, fraction notation supported but not other expressions; uses def_value on error.

log(x, b)

Returns the logarithm base b of x. Parameter b defaults to base 2 (octave) if it is omitted.

log2(x)

Returns the base-2 logarithm of x.

gcd(a, b)

Returns the greatest common divisor of a and b.

round_dec(x, places)

Returns x rounded to a precision of places decimal places. Parameter places defaults to 0 if it is omitted.

round(x, prec)

Returns x rounded to a precision of prec significant figures. Parameter prec defaults to 6 if it is omitted.

is_prime(n)*

Returns true if the given integer n is a prime number.

prime_factorization(n)

Returns the prime factorization of the given integer n using the exponential form (in wikitext).

prime_factorization_raw(n) *

Returns a table encoding the prime factorization of n.

signum(x) *

Returns 1 for positive numbers, −1 for negative ones, and 0 for zero and non-integer inputs.

next_young_diagram(d)

Returns the next Young diagram of the same size; the first one is [N], the last one is [1, 1, …, 1]. After the last one, nil is returned. The input table is modified.

* These functions are designed to be used by other modules only; they cannot be called with {{#invoke: }}.

---

local p = {}

-- return logarithm base b of x
function p.log(x, b)
	b = b or 2 -- defaults to base 2 (octave) if b is omitted
	return math.log(x)/math.log(b)
end

-- return x rounded to a precision of p decimal places
function p.round(x, prec)
	prec = prec or 3 -- default to 3 decimal places if prec is omitted
	return math.floor(x*10^prec+0.5)/10^prec
end

return p