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Expr
– Module with functions for any kind of expression in addition to the functionality offered by #expr
parser functions.
The results of those Lua functions are supposed to be used within other computations or conditions. Therefore they need to be numbers rather than text and leave no way to communicate any error message nor triggering a maintenance category.
Functions for templates
BearbeitenThe standard functions are supposed to be used in #invoke
and retrieve those parameters. Whitespace ahead and after any content is ignored.
- average
- Calculate average
- 1 – First number
- 2 – Second number
- parse – (optional) number format in transclusions
- 3 – (optional) Further number
- 4 usw. – (optional) Further numbers, as many as desired
- The average is always at least
0
and invalid values will be ignored. - base62
- Coding und decoding according to Base62.
- 1 – figure to be converted
- 2 – (optional)
D2B
for decimal-into-base62; default: base62-into-decimal
- crossTotal
- Calculate sum of digits
- 1 – positive number, digits only (minus sign and decimal fraction would be ignored)
- Yields at least
0
. - decimal2minsec
- Coordinate value conversion from decimal to degrees / minutes / seconds
- 1 – decimal value
- 2 – (optional) number of fractional digits after separator in seconds (default: none)
- parse – (optional) number format of decimal value
- Yields non-breaking
<span>
element with degrees / minutes / seconds, else0
- figure
- Test figure for validity and convert if possible
- 1 – number
- 2 – (optional) number format
- Yields nothing if invalid.
- max
- Retrieve maximum of a set of figures.
- All unnamed parameters are used for extremum calculation.
- The return value is an empty string (nothing), if no parameter at all or only empty values were provided. An error message for invalid
#expr
might occur as well. Otherwise that is the determined number in the specified formatting. - min
- Retrieve minimum in the same way as max.
- minsec2decimal
- Coordinate value conversion from degrees / minutes / seconds to decimal number
- 1 – degrees
- 2 – (optional) minutes
- 3 – (optional) seconds
- 4 – (optional) lettter for compass direction
- parse – (optional) number format in transclusions
- modulo
- Modulo, remainder
- 1 – current value (dividend)
- 2 – unit value (base, divisor) non-zero
- parse – (optional) number format in transclusions
- percent
- Retrieve percentage
- 1 – part
- 2 – base value (related unit, 100 %) non-zero
- 3 – (optional) number of fractional digits after separator (default: none)
- 4 – (optional) keep trailing zeros in fractional digits
- parse – (optional) number format in transclusions
- low – (optional) result format,
1
for “computer interface” (default: local Wiki).
- The result ist terminated by
%
and therfore the number is no longer subject to formatting. - Ramanujan
- random
- (Pseudo-) random number (integer)
- 1 – (optional) base, standardization, number of values (default:
100
), integer >1.
- 1 – (optional) base, standardization, number of values (default:
- Results in integer numbers beginning at (including) zero, therefore always less than number of values.
- Each transclusion in page yields an independent and mostly different result.
- seed numbers for ensuring different values in page are not necessary.
- sum
- Calculate sum
- 1 – First number
- 2 – Second number
- parse – (optional) number format in transclusions
- 3 – (optional) Further number
- 4 usw. – (optional) Further numbers, as many as desired
- The sum is always at least
0
and invalid values will be ignored. - failsafe
- Version management
The Failsafe interface is heading for version management of globally distributed Lua modules. It enables modules equipped with this interface to
- ensure, that a library module required by a template or another module available as local copy does support certain functionality, or complain if not.
- administrate global updating and linking of module codes via Wikidata.
The Failsafe interface is present both at template level and for direct Lua access.
The functions in detail are (not all supported yet completely by every library):
Value | Result | current |
---|---|---|
nothingfalse
|
local version ID | »2022-09-12« |
Minimal version | version ID required at least date in ISO format It will be compared whether the current local implementation matches this version or later.
|
|
wikidata
|
version ID of global upstream
|
»2022-09-12« |
item
|
ID of the Wikidata item
|
Q54991461
|
~
|
Corresponding version ID locally and registered at Wikidata
|
»« |
@
|
Is the current (module) page linked correctly with Wikidata item?
|
|
The return value is in template programming empty or under Lua false , otherwis a non-empty string as described.
|
Direct transclusion in templates
Bearbeiten- TemplateAverage
- Like average, but use all parameters of the template around.
- TemplateBooland
- Yields
1
, if all parameters are “something”, else “nothing”. - Use parameters of the template around.
- TemplateBoolor
- Yields
1
, if at least one parameter is “something”, else “nothing”. - Use parameters of the template around.
- TemplateMax
- Like max, but specific to Template:Max – use all parameters of the template around.
- TemplateMin
- Like min, but specific to Template:Min – use all parameters of the template around.
- TemplateSum
- Like sum, but use all parameters of the template around.
Unicode minus
BearbeitenThe minus sign is treated as follows:
- On input values they may be used at will.
- If any input value contains a Unicode minus U+2212, this encoding will be used in the result.
- Optional
minus=1
Use Unicode minus only for resulting string. - Optional
minus=-
Use ASCII hyphen only for resulting string.
A result with Unicode minus is by nature always a string.
Number format in transclusions
BearbeitenAn optional parameter permits variable interpretation of input values.
- The default is
.
with the meaning “computer calculation format”. - The meaning of “computer calculation format” is:
.
as decimal separator, minus sign in ASCII, no grouping (thousands). Alternatively theE
exponential representation may be used.
The supported input format, if provided, consists of one til three codes mgd with the components:
- d – mandatory if used: decimal separator. Permitted values:
.
or,
(only at last position). - m – minus sign may be used as “typographic” (Unicode U+2212) when
-
(only at first position). - g – number grouping (thousands), even following decimal separator, permitted according to subsequent table(optional).
g | Meaning |
---|---|
,
|
comma, used in angloamerican formatting |
.
|
period; default formatting in German Wikipedia |
'
|
ASCII apostrophe; common in Switzerland |
',
|
ASCII apostrophe or comma |
'.
|
ASCII apostrophe or period |
U+20
|
ASCII space Not recommended as number format, but may be used for analysis. |
U+A0
|
non-breaking space |
U+202F
|
narrow non-breaking space |
%s
|
ASCII or (even narrow) non-breaking space |
.%s
|
period or ASCII space or (even narrow) non-breaking space |
'%s
|
ASCII apostrophe or ASCII space or (even narrow) non-breaking space |
'.%s
|
period or ASCII apostrophe or ASCII space or (even narrow) non-breaking space |
On input HTML entities may be used alternatively for number grouping.
- “Scientific” or exponential representation does require always “computer calculation format”:
e
oderE
, integer exponent,+
may precede mantissa and/or exponent.
Examples:
,.
– classical angloamerican format (ASCII)-'.%s,
– broadest acceptance of German formats, typographic minus possible
Examples (test page)
BearbeitenA test page illustrates practical use.
Functions for Lua modules (API)
BearbeitenAll functions documented above may be used via require()
in other Modules:
local lucky, Expr = pcall( require, "Module:Expr" )
if type( Expr ) == "table" then
Expr = Expr()
else
-- Error; Expr contains error message
return "<span class='error'>" .. Expr .. "</span>"
end
Then there is available:
- Expr.average( array, ask )
-
array
– sequence table, with string or number itemsask
– number format of input
- returns: number, at least
0
- Expr.base62( adjust )
-
adjust
– string or number- number – code in base62 (string)
- string – dekcode in number
- Expr.crossTotal( amount )
-
amount
– string or number
- returns: number, sum of digits in integer number, at least
0
- Expr.decimal2minsec( amount, align, ask )
-
amount
– decimal coordinate, string or numberalign
– number of decimal digits of seconds, string or number (default:0
)ask
– number format of decimal number
- returns: mw.html object if success, else string
0
- Expr.figure( amount, ask )
-
amount
– number, string or numberask
– number format
- returns: number, or
false
if invalid - Expr.minsec2decimal( aDeg, aMin, aSec, alter, ask )
-
aDeg
– degree, string or numberaMin
– minutes, string or number or nothingaSec
– seconds, string or number or nothingalter
– letter for compass direction, likeS
orW
, or nothingask
– number format of input
- returns: number,
0
if invalid - Expr.modulo( amount, adjust, ask )
-
amount
– figure, string or numberadjust
– base, string or numberask
– number format of input
- returns: number,
0
if invalid - Expr.percent( amount, all, align, after, ask, allow, frame )
-
amount
– part, string or numberadjust
– base, string or numberalign
– number of fractional digits after separator, string or number (default: none)after
–true
, to keep trailing zeros in fractional digitsask
– number format of inputallow
– result format,true
, for „computational format“ (default: local Wiki).frame
– object, if available
- The result is terminated by
%
and the number itself is not accessible for formatting.- number
0
if invalid
- number
- Expr.sum( array, ask )
-
array
– sequence table, with string or number itemsask
– number format of input
- Two results:
- number, with sum, at least
0
- number, of valid summands, at least
0
- number, with sum, at least
- Expr.failsafe( atleast )
- (like template)
Usage
BearbeitenGeneral library; no limitations.
Dependencies
BearbeitenNone.