Vidi fonton por Modulo:Expr

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You could also send an email to the <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/Stewards" class="extiw" title="m:Special:MyLanguage/Stewards">stewards</a> <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/VRT" class="extiw" title="m:Special:MyLanguage/VRT">VRT</a> queue at <kbd>stewards@wikimedia.org</kbd> including all above details.</li></ul><hr /> <p>Vi povas vidi kaj kopii la vikitekston de tiu ĉi paĝo: </p><textarea readonly="" accesskey="," id="wpTextbox1" cols="80" rows="25" style="" class="mw-editfont-monospace" lang="en" dir="ltr" name="wpTextbox1">local Expr = { suite = "Expr", serial = "2022-09-12", item = 54991461 } --[==[ Expr * average * base62 * crossTotal * decimal2minsec * figure * max * min * minsec2decimal * modulo * percent * Ramanujan * random * sum * TemplateAverage * TemplateBooland * TemplateBoolor * TemplateMax * TemplateMin * TemplateSum ]==] local Failsafe = Expr Expr.messagePrefix = "lua-module-Expr-" Expr.l10nDef = {} Expr.l10nDef[ "en" ] = { ErrorExpr = "Error in mathematical expression, function#parameter" } Expr.l10nDef[ "de" ] = { ErrorExpr = "Fehler in mathematischem Ausdruck, Funktion#Parameter" } Expr.breakFigures = { [","] = ",", ["."] = "%.", ["'"] = "'", ["',"] = "[',]", ["'."] = "['%.]", ["U+20"] = " ", ["U+A0"] = mw.ustring.char( 0xA0 ), ["U+202F"] = mw.ustring.char( 0x202F ), ["%s"] = mw.ustring.char( 91, 0x20, 0xA0, 0x2009, 0x202F, 93 ), [".%s"] = mw.ustring.char( 91, 0x20, 0x2E, 0xA0, 0x2009, 0x202F, 93 ), ["'%s"] = mw.ustring.char( 91, 0x20, 0x27, 0xA0, 0x2009, 0x202F, 93 ), ["'.%s"] = mw.ustring.char( 91, 0x20, 0x27, 0x2E, 0xA0, 0x2009, 0x202F, 93 ) } Expr.signMinus = mw.ustring.char( 0x2212 ) local function factory( say ) -- Retrieve localized message string in content language -- Precondition: -- say -- string, message ID -- Postcondition: -- Return some message string -- Uses: -- > Expr.messagePrefix -- > Expr.l10nDef -- mw.language.getContentLanguage() -- mw.message.new() local slang = mw.language.getContentLanguage():getCode() local msg = mw.message.new( Expr.messagePrefix .. say ) local r = false if msg:isBlank() then local def = Expr.l10nDef[ slang ] if not def then def = Expr.l10nDef[ "en" ] end r = def[ say ] else msg:inLanguage( slang ) r = msg:plain() end if not r then r = "(((" .. say .. ")))" end return r end -- factory() local function faculty( analyze ) -- Test for boolean interpretation -- Precondition: -- analyze -- string or boolean or nil -- Postcondition: -- returns boolean local s = type( analyze ) local r if s == "string" then r = mw.text.trim( analyze ) if r == "" or r == "0" or r == "-" then r = false elseif r == "1" then r = true else r = r:lower() if r == "y" or r == "yes" or r == "true" or r == "on" then r = true elseif r == "n" or r == "no" or r == "false" or r == "off" then r = false else if r == "falsch" or r == "nein" then r = false -- error( "faculty@Expr", 0 ) else r = true end end end elseif s == "boolean" then r = analyze elseif s == "nil" then r = false else r = true end return r end -- faculty() local function expr( source, show ) -- Safe evaluation of presumable expression -- Precondition: -- source -- string, mathematical expression -- show -- string, details about source -- Postcondition: -- throws error, if expression failed -- returns number with resulting figure -- Uses: -- factory() local lucky, r = pcall( mw.ext.ParserFunctions.expr, source ) local n = tonumber( r, 10 ) if not ( lucky and n ) then r = r .. " " .. factory( "ErrorExpr" ) .. " ''" .. show .. "'' (" .. source .. ")" error( r, 0 ) else r = n end return r end -- expr() local function ellipse( a, epsilon ) -- Circumference of an ellipse. Approximation by Ramanujan's formula. -- Returns the approximation and a locical value (true, if the data is well) epsilon = tonumber(epsilon) or false; a = tonumber(a) or false; if not epsilon then return 0, false; end if not a then return 0, false; end if epsilon < 0 or epsilon > 1 then return 0, false; end a = math.abs(a); local b = a * math.sqrt (1 - epsilon * epsilon); local lambda = (a - b) / (a + b); local circumference = math.pi * (a + b) * (1 + (3 * lambda * lambda)/(10 + math.sqrt (4 - 3 * lambda * lambda))); if circumference then return circumference, true; else return 0, false; end end local function logicaland( args ) local r = "" for k, v in pairs( args ) do if mw.text.trim( v ) == "" then r = "" break -- for k, v else r = "1" end end -- for k, v return r end local function logicalor( args ) local r = "" for k, v in pairs( args ) do if faculty( v ) then r = "1" break -- for k, v end end -- for k, v return r end local function minmax( params, low, lazy ) -- Find extremum of unnamed params values -- Precondition: -- params -- table, like args -- .minus -- .zeroBlank -- low -- true: minimum, false: maximum -- lazy -- true: try numeric result, false: return string -- Postcondition: -- throws error, if expression failed -- returns number, or -- string if formatting required, or -- false if no data provided -- Uses: -- > Expr.signMinus -- expr() local light = ( params.minus ~= "-" ) local luxury = ( params.minus and light ) local r = false local n, scope for k, v in pairs( params ) do if type( k ) == "number" then scope = type( v ) if scope == "string" then v = mw.text.trim( v ) if v == "" then n = false else if mw.ustring.sub( v, 1, 1 ) == Expr.signMinus then luxury = light v = "-" .. mw.ustring.sub( v, 2 ) end n = Expr.figure( v, ".", true ) if not n then if low then scope = "min()#" else scope = "max()#" end scope = scope .. tostring( k ) expr( v, scope ) end end elseif scope == "number" then n = v else n = false end if n then if r then if low then if n < r then r = n end else if n > r then r = n end end else r = n end end end end -- for k, v if r then if luxury and r < 0 then r = Expr.signMinus .. tostring( -1 * r ) elseif not lazy then if r == 0 then if params.zeroBlank then r = "" else r = "0" end else r = tostring( r ) end end end return r end -- minmax() Expr.average = function ( array, ask ) -- Calculate average -- Precondition: -- array -- sequence table, with strings and/or numbers -- ask -- string or not, with figure format -- Postcondition: -- returns number, at least 0 local r, n = Expr.sum( array, ask ) if n > 1 then r = r / n end return r end -- Expr.average() Expr.base62 = function ( adjust ) -- Convert number from and to base62 encoding -- Precondition: -- adjust -- number or ASCII string to be converted -- number: to base62 -- string: base62 to number -- Lua limitation at 10^53; larger numbers are less precise -- Postcondition: -- returns string, or number, or false local r = false local state = type( adjust ) if state == "number" then local k = math.floor( adjust ) if k == adjust and adjust > 0 then local m r = "" while k > 0 do m = k % 62 k = ( k - m ) / 62 if m >= 36 then m = m + 61 elseif m >= 11 then m = m + 55 else m = m + 48 end r = string.char( m ) .. r end elseif adjust == 0 then r = "0" end elseif state == "string" then if adjust:match( "^%w+$" ) then local n = #adjust local k = 1 local c r = 0 for i = n, 1, -1 do c = adjust:byte( i, i ) if c >= 48 and c <= 57 then c = c - 48 elseif c >= 65 and c <= 90 then c = c - 55 elseif c >= 97 and c <= 122 then c = c - 61 else -- How comes? r = nil break -- for i end r = r + c * k k = k * 62 end -- for i end end return r end -- Expr.base62() Expr.crossTotal = function ( amount ) -- Calculate sum of digits in integer number -- Precondition: -- amount -- string or number, with integer -- Postcondition: -- returns number, at least 0 local r = 0 local s = Expr.figure( amount ) if s then if s < 0 then s = -1 * s end s = tostring( math.floor( s ) ) if s:match( "^%d+$" ) then for i = 1, #s do r = r + tonumber( s:sub( i, i ) ) end -- for i end end return r end -- Expr.crossTotal() Expr.decimal2minsec = function ( amount, align, ask, allow, frame ) -- Format coordinate value in degree, minutes, seconds -- Precondition: -- amount -- string or number, with decimal coordinate -- align -- string, number, nil, with number of decimal digits -- ask -- string or not, with figure format -- allow -- true, if unformatted result -- frame -- object, if available -- Postcondition: -- returns mw.html -- with formatted data, or -- string -- with "0" if any problem -- Uses: -- > Expr.signMinus local r = Expr.figure( amount, ask ) if r then local d = tonumber( align ) local e = mw.html.create( "span" ) local kd, km, low, sd if r < 0 then low = true r = -1 * r end kd = math.floor( r ) r = ( r - kd ) * 60 if kd > 360 then kd = kd - math.floor( kd / 360 ) * 360 end sd = tostring( kd ) if low then sd = Expr.signMinus .. sd end km = math.floor( r ) r = ( r - km ) * 60 if d and d >= 1 and d < 10 then local n = math.floor( r ) if r == n then r = tostring( n ) else local s = string.format( "%%.%df", math.floor( d ) ) r = tonumber( string.format( s, r ) ) if allow then r = tostring( r ) else if not Expr.frame then Expr.frame = frame or mw.getCurrentFrame() end r = Expr.frame:callParserFunction( "formatnum", r ) end end else r = tostring( math.floor( r + 0.5 ) ) end if not Expr.degminsec then Expr.degminsec = string.format( "%%s%s %%d%s %%s%s", mw.ustring.char( 0xB0 ), mw.ustring.char( 0x2032 ), mw.ustring.char( 0x2033 ) ) end r = string.format( Expr.degminsec, sd, km, r ) e:css( "white-space", "nowrap" ) :addClass( "coordinate-deg-min-sec" ) e:wikitext( r ) r = e else r = "0" end return r end -- Expr.decimal2minsec() Expr.figure = function ( amount, ask, advance, area ) -- Convert number from various formats -- Precondition: -- amount -- string (or number), with number -- ask -- string, with permitted formatting, defaults to "." -- advance -- true, if expressions permitted -- area -- string, or not, with permitted set -- Postcondition: -- returns number, or false -- Uses: -- > Expr.signMinus -- > Expr.breakFigures -- 2022-08-08 local seek = type( amount ) local r if seek == "string" then local scan = mw.text.trim( amount ) seek = ask or "." if scan == "" then seek = false elseif advance and not tonumber( scan ) and scan:find( "[+%-*/)]", 2 ) then local lucky lucky, r = pcall( mw.ext.ParserFunctions.expr, scan ) if lucky then seek = false r = tonumber( r ) else r = false end end if type( seek ) == "string" then if scan:find( "[Ee]" ) then scan = scan:match( "^[+%-]?([%.%d]+)[Ee][+%-]?%d+$" ) if scan and ( scan:match( "^%.%d+$" ) or scan:match( "^%d+%.?%d*$" ) ) then r = tonumber( amount ) end else local low, split seek = mw.text.trim( seek ) if seek == "" then seek = "." end split = seek:sub( -1 ) seek = seek:sub( 1, -2 ) if seek:sub( 1, 1 ) == "-" then seek = seek:sub( 2 ) if mw.ustring.sub( scan, 1, 1 ) == Expr.signMinus then low = true scan = mw.ustring.sub( scan, 2 ) end end if not low then if scan:sub( 1, 1 ) == "-" then low = true scan = scan:sub( 2 ) elseif scan:sub( 1, 1 ) == "+" then scan = scan:sub( 2 ) end end if ( split == "." or split == "," ) and not seek:find( split, 1, true ) then local i = scan:find( split, 1, true ) if i then split = scan:sub( i + 1 ) if split == "" then split = false end if i > 1 then r = scan:sub( 1, i - 1 ) elseif split then r = "" else r = false end else split = false r = scan end if r then seek = Expr.breakFigures[ seek ] if seek then local f = function ( a ) local rf = a if rf:find( "&.+;" ) then rf = mw.text.decode( rf, true ) end rf = mw.ustring.gsub( rf, seek, "%1%2" ) return rf end seek = "(%d)" .. seek .. "(%d)" if r ~= "" then r = f( r ) end if split then split = f( split ) end end if split and not split:match( "^%d+$" ) then r = false end if r and not r:match( "^%d+$" ) then r = false end if r and split then r = string.format( "%s.%s", r, split ) end end end if r then r = tonumber( r ) if low then r = -1 * r end end end end elseif seek == "number" then r = amount end if r and type( area ) == "string" then local set = mw.text.trim( area ) if set == "" then elseif set == "N" or set == "Z+" then if r < 0 or r ~= math.floor( r ) then r = false end elseif set == "Z" then if r ~= math.floor( r ) then r = false end elseif set == "Z-" then if r > 0 or r ~= math.floor( r ) then r = false end elseif set == "R+" then if r < 0 then r = false end elseif set == "R-" then if r > 0 then r = false end end end return r or false end -- Expr.figure() Expr.minsec2decimal = function ( aDeg, aMin, aSec, alter, ask ) -- Convert coordinate value from degree, minutes, seconds, letter -- Precondition: -- aDeg -- string or number, with degree -- aMin -- string or number, with minutes -- aSec -- string or number, with seconds -- alter -- string or boolean, true|S|W, negative sign -- ask -- string, with permitted formatting, defaults to "." local r = Expr.figure( aDeg, ask ) if r then local qm = Expr.figure( aMin, ask ) local qt = Expr.figure( aSec, ask ) local m = 360 local less if qm then r = r + qm * 0.0166666666666667 if qt then r = r + qt * 0.0002777777777777778 end elseif qt then r = false end if alter then local s = type( alter ) if s == "string" then s = mw.text.trim( alter ):upper() if s == "S" or s == "W" then less = true end if s == "N" or s == "S" then m = 180 end elseif s == "boolean" then less = alter end end if r then if r < 0 then r = -1 * r less = true end if r > 0 then r = r - math.floor( r / m ) * m end if less then r = -1 * r end end end return r or 0 end -- Expr.minsec2decimal() Expr.modulo = function ( amount, adjust, ask ) -- Retrieve modulo remainder -- Precondition: -- amount -- string or number, with total amount (dividend) -- adjust -- string or number, with modulo divisor, non-zero -- ask -- string or not, with figure format -- Postcondition: -- returns number -- with modulo remainder -- 0 -- if numbers are not available local qt = Expr.figure( amount, ask ) local qm = Expr.figure( adjust, ask ) local r if qt and qm and qm ~= 0 then r = qt - math.floor( qt / qm ) * qm else r = 0 end return r end -- Expr.modulo() Expr.percent = function ( amount, all, align, after, ask, allow, frame ) -- Retrieve percentage -- Precondition: -- amount -- string or number, with partial value -- all -- string or number, with base value (100%) -- align -- string, number, nil, with number of decimal digits -- after -- true, if trailing zeroes shall be kept -- ask -- string or not, with figure format -- allow -- true, if unformatted result -- frame -- object, if available -- Postcondition: -- returns string -- with formatted percentage, terminated by % -- 0 -- if numbers are not available local qp = Expr.figure( amount, ask ) local qb = Expr.figure( all, ask ) local r if qp and qb and qb ~= 0 then local d = tonumber( align ) r = qp * 100 / qb if d and d >= 1 and d < 10 then local s = string.format( "%%.%df", math.floor( d ) ) s = string.format( s, r ) if after then r = s else local n = math.floor( r ) if tonumber( s ) == n then r = tostring( n ) else r = s:gsub( "^(-?%d+%.%d*[1-9])0+$", "%1" ) end end else r = tostring( math.floor( r + 0.5 ) ) end if not allow then if not Expr.frame then Expr.frame = frame or mw.getCurrentFrame() end r = Expr.frame:callParserFunction( "formatnum", r ) end r = r .. " %" else r = 0 end return r end -- Expr.percent() Expr.sum = function ( array, ask ) -- Calculate sum -- Precondition: -- array -- sequence table, with strings and/or numbers -- ask -- string or not, with figure format -- Postcondition: -- returns -- 1, number, with sum, at least 0 -- -- 2, number, of summands, at least 0 local r1 = 0 local r2 = 0 if type( array ) == "table" then for k, v in pairs( array ) do v = Expr.figure( v, ask, true ) if v then r1 = r1 + v r2 = r2 + 1 end end -- for k, v end return r1, r2 end -- Expr.sum() Failsafe.failsafe = function ( atleast ) -- Retrieve versioning and check for compliance -- Precondition: -- atleast -- string, with required version -- or wikidata|item|~|@ or false -- Postcondition: -- returns string -- with queried version/item, also if problem -- false -- if appropriate -- 2020-08-17 local since = atleast local last = ( since == "~" ) local linked = ( since == "@" ) local link = ( since == "item" ) local r if last or link or linked or since == "wikidata" then local item = Failsafe.item since = false if type( item ) == "number" and item > 0 then local suited = string.format( "Q%d", item ) if link then r = suited else local entity = mw.wikibase.getEntity( suited ) if type( entity ) == "table" then local seek = Failsafe.serialProperty or "P348" local vsn = entity:formatPropertyValues( seek ) if type( vsn ) == "table" and type( vsn.value ) == "string" and vsn.value ~= "" then if last and vsn.value == Failsafe.serial then r = false elseif linked then if mw.title.getCurrentTitle().prefixedText == mw.wikibase.getSitelink( suited ) then r = false else r = suited end else r = vsn.value end end end end end end if type( r ) == "nil" then if not since or since <= Failsafe.serial then r = Failsafe.serial else r = false end end return r end -- Failsafe.failsafe() -- Export local p = {} function p.average( frame ) local d = { } for k, v in pairs( frame.args ) do k = tostring( k ) if k:match( "^%d+$" ) then table.insert( d, v ) end end -- for k, v return Expr.average( d, frame.args.parse ) end function p.base62( frame ) local r local s = frame.args[ 1 ] if s then local s2 = frame.args[ 2 ] if s2 then s2 = mw.text.trim( s2 ) end if s2 == "D2B" then s = tonumber( s ) else s = mw.text.trim( s ) s2 = false end r = Expr.base62( s ) if r and not s2 then r = string.format( "%17d", r ) end end return r or "" end function p.crossTotal( frame ) return Expr.crossTotal( frame.args[ 1 ] ) end function p.decimal2minsec( frame ) return tostring( Expr.decimal2minsec( frame.args[ 1 ], frame.args[ 2 ], frame.args.parse, faculty( frame.args.low ), frame ) ) end p.figure = function ( frame ) local r = Expr.figure( frame.args[ 1 ], frame.args.parse, faculty( frame.args.expr ), frame.args.set ) if r then r = tostring( r ) else r = "" end return r end -- p.figure function p.max( frame ) local lucky, r = pcall( minmax, frame.args, false, false ) return r or "" end function p.min( frame ) local lucky, r = pcall( minmax, frame.args, true, false ) return r or "" end function p.minsec2decimal( frame ) return Expr.minsec2decimal( frame.args[ 1 ], frame.args[ 2 ], frame.args[ 3 ], frame.args[ 4 ], frame.args.parse ) end function p.modulo( frame ) return Expr.modulo( frame.args[ 1 ], frame.args[ 2 ], frame.args[ 3 ] ) end function p.percent( frame ) local base = frame.args[ 2 ] local pars if base then pars = frame.args else pars = frame:getParent().args base = pars[ 2 ] end return Expr.percent( pars[ 1 ], base, pars[ 3 ], faculty( pars[ 4 ] ), pars.parse, faculty( pars.low ), frame ) end function p.Ramanujan( frame ) local semiaxis = frame.args[1] or 0; local eps = frame.args[2] or 0; local value, isOk = ellipse( semiaxis,eps ); if isOk then return tostring(value); else return '<span class="error">Funktion Ramanujan in Modul Expr: ungültige Parameter!</span>' end end function p.random( frame ) local n = Expr.figure( frame.args[ 1 ] ) if n and n >= 2 then n = math.floor( n ) else n = 100 end math.randomseed( math.floor( 100000 * os.clock() ) ) return math.random( 0, n - 1 ) end function p.sum( frame ) local d = { } local r, n for k, v in pairs( frame.args ) do k = tostring( k ) if k:match( "^%d+$" ) then table.insert( d, v ) end end -- for k, v r, n = Expr.sum( d, frame.args.parse ) return r end function p.TemplateAverage( frame ) return p.average( frame:getParent() ) end function p.TemplateBooland( frame ) return logicaland( frame:getParent().args ) end function p.TemplateBoolor( frame ) return logicalor( frame:getParent().args ) end function p.TemplateMax( frame ) return p.max( frame:getParent() ) end function p.TemplateMin( frame ) return p.min( frame:getParent() ) end function p.TemplateSum( frame ) return p.sum( frame:getParent() ) end p.failsafe = function ( frame ) -- Versioning interface local s = type( frame ) local since if s == "table" then since = frame.args[ 1 ] elseif s == "string" then since = frame end if since then since = mw.text.trim( since ) if since == "" then since = false end end return Failsafe.failsafe( since ) or "" end -- p.failsafe p.Expr = function () return Expr end -- p.Expr() setmetatable( p, { __call = function ( func, ... ) setmetatable( p, nil ); 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